1
0
mirror of https://github.com/Refactorio/RedMew.git synced 2024-12-14 10:13:13 +02:00
RedMew/map_gen/data/presets/north_america.lua

3246 lines
2.8 MiB

return {
height = 3240,
width = 3000,
data = {
{4,14,19,5,4,5,18,2,10,2,8,1,10,2,4,9,19,5,4,2,8,1,10,3,8,2,10,3,4,396,19,6,4,2,10,5,8,1,18,2,10,6,8,2,18,1,15,1,18,1,8,2,10,2,8,47,18,2,8,3,10,4,8,6,10,3,8,12,10,2,8,10,10,2,8,2,10,2,8,2,10,6,8,13,10,8,8,6,10,5,8,7,10,8,8,6,10,6,8,8,10,4,8,6,10,11,8,7,10,4,8,3,10,3,8,20,15,5,8,5,7,2,8,5,18,2,9,1,10,1,4,1860,19,9,4,2,10,12,18,3,10,30,8,1,10,10,8,5,10,6,8,1,18,3,8,1,10,19,8,2,10,86,18,2,10,2,18,4,10,9,18,1,10,21,8,3,10,11,8,1,10,4,4,42,19,4,4,4,10,4,8,3,10,2,8,1,10,4,8,1,10,13,8,12,10,5,8,3,10,3,8,2,7,2,8,22,10,1,8,2,10,2,8,2,10,6,8,10,10,2,8,8,},
{4,14,19,7,4,3,18,1,10,6,4,9,19,5,4,2,8,1,10,3,8,2,10,3,4,396,19,6,4,2,10,5,8,1,18,2,10,6,8,2,15,3,8,2,10,3,8,51,10,3,8,8,10,2,8,17,10,2,8,4,10,3,8,2,10,2,8,2,10,6,8,13,10,8,8,6,10,5,8,8,10,7,8,4,10,8,8,9,10,2,8,7,10,10,8,8,10,4,8,25,15,6,8,12,15,1,18,3,4,1860,19,9,4,2,10,13,18,1,10,30,8,3,10,11,8,3,10,6,8,2,18,2,8,2,10,17,8,4,10,74,4,6,10,4,18,3,4,1,10,2,18,4,10,8,18,1,10,21,8,3,10,16,4,42,19,4,4,4,10,4,8,3,10,1,8,2,10,18,8,12,10,4,8,5,10,1,8,3,7,1,8,23,10,1,8,2,10,2,8,2,10,6,8,10,10,2,8,8,},
{4,14,19,3,4,1,19,3,4,3,10,3,4,1,10,3,4,1,19,2,4,6,19,5,4,2,10,3,8,2,10,4,18,1,4,3,19,2,4,390,19,6,4,2,18,1,9,1,10,2,9,1,18,2,9,1,10,3,8,4,18,1,15,3,18,1,8,1,10,6,8,15,18,5,8,19,15,2,8,5,10,4,8,27,10,5,8,1,10,6,8,4,10,5,8,13,10,7,8,8,10,4,8,10,10,14,8,1,10,2,8,1,10,1,8,8,10,2,8,7,10,5,8,1,10,3,8,9,10,3,8,5,18,6,8,15,15,7,8,11,15,1,18,2,4,1861,19,10,4,4,18,1,10,31,8,1,10,8,8,8,10,16,8,3,18,2,8,2,10,14,8,1,18,3,8,1,10,69,4,20,10,3,18,3,10,28,8,7,10,3,8,1,10,9,4,42,19,5,4,3,10,7,8,3,10,20,8,10,10,3,8,18,7,2,8,5,10,2,8,8,10,3,8,1,10,2,8,1,10,4,8,21,},
{4,14,19,2,4,2,19,4,4,2,10,2,4,6,19,2,4,6,19,5,4,2,10,3,8,2,10,4,18,1,4,2,19,3,4,390,19,5,4,3,18,2,10,2,9,1,8,1,18,1,10,3,8,1,18,5,15,3,18,1,8,2,10,7,8,10,18,10,8,16,15,3,8,3,10,5,8,2,15,4,8,21,10,13,8,1,18,1,8,2,10,3,8,2,18,1,8,12,10,6,8,9,10,2,8,11,10,15,8,2,10,4,8,15,10,5,8,2,10,3,8,9,10,2,8,6,18,5,8,15,15,8,8,11,15,1,18,2,4,1861,19,11,4,5,10,39,8,9,10,14,8,7,10,15,8,2,18,2,8,2,10,67,4,5,19,8,4,9,10,4,18,2,10,17,8,1,10,8,8,13,10,8,4,42,19,6,4,2,18,1,8,1,10,5,8,2,10,23,8,8,10,3,8,3,15,3,8,12,7,3,8,4,10,3,8,7,10,2,8,2,10,2,8,2,10,3,8,21,},
{4,16,19,6,4,7,19,5,4,2,19,6,4,4,18,1,8,1,10,7,18,1,4,2,19,4,4,398,18,1,8,1,10,4,8,1,10,3,18,6,8,6,10,7,8,9,18,2,15,2,18,7,8,14,18,2,15,4,8,3,10,3,8,2,15,4,8,22,10,13,8,1,18,1,8,1,10,4,8,1,18,3,8,11,10,5,8,9,10,2,8,10,10,11,8,3,10,1,8,4,10,6,8,13,10,10,8,4,10,7,8,25,15,9,8,11,15,1,18,2,4,1862,19,12,4,3,10,39,8,10,10,7,8,2,10,2,8,1,18,3,8,1,10,21,8,5,10,65,4,6,19,8,4,8,18,1,9,1,10,31,8,16,10,4,18,1,4,42,19,7,4,1,18,2,8,1,10,17,8,2,10,9,8,11,10,1,8,4,7,2,8,12,7,3,8,5,10,3,8,6,10,2,8,2,10,7,8,21,},
{4,17,19,2,4,9,19,6,4,2,19,6,4,4,18,1,8,1,10,6,18,2,4,1,19,5,4,398,18,1,8,1,10,4,8,2,10,1,8,1,14,3,18,2,8,2,10,2,8,3,10,3,8,3,10,2,8,8,18,2,14,2,18,6,8,3,10,1,8,11,18,3,8,2,15,2,8,7,15,4,8,22,10,1,8,2,10,10,8,3,10,4,8,1,18,1,15,1,18,2,8,10,10,3,8,8,10,3,8,10,10,10,8,11,10,6,8,12,10,11,8,3,10,8,8,25,15,2,8,4,15,3,8,10,18,4,4,1865,19,10,4,3,10,19,18,1,10,19,8,7,10,9,8,2,10,1,8,2,18,3,8,1,10,14,8,4,10,5,8,2,10,65,4,7,19,8,4,8,18,2,10,32,8,4,10,5,8,6,10,5,4,43,19,6,4,2,18,2,8,1,10,16,18,2,10,9,8,4,18,2,8,5,10,3,8,4,7,3,8,17,10,3,8,10,10,7,8,17,10,1,8,3,},
{4,28,19,6,4,2,19,5,4,3,18,1,10,1,8,1,10,5,4,5,19,5,4,398,18,1,8,3,10,2,8,3,18,1,14,2,18,2,8,1,10,8,8,6,10,1,8,3,18,2,8,3,18,2,14,1,15,1,18,2,8,6,10,3,8,15,15,3,8,4,15,4,8,3,15,1,8,18,10,2,8,4,10,5,8,7,10,4,8,1,18,1,15,1,18,1,8,6,10,5,8,11,10,2,8,10,10,10,8,10,10,8,8,11,10,13,8,2,10,9,8,5,18,1,8,18,15,2,8,5,15,2,8,4,7,2,8,4,18,2,4,1869,19,9,4,6,10,14,18,2,10,39,8,5,10,16,8,4,10,69,4,3,19,1,4,4,19,6,4,3,19,2,4,5,10,6,4,6,10,32,8,1,10,11,4,42,19,6,4,2,18,2,8,2,10,8,8,1,10,5,18,2,10,11,8,3,18,2,8,3,10,6,8,22,10,4,8,15,10,3,8,14,10,3,8,2,},
{4,28,19,6,4,2,19,4,4,3,18,2,10,5,4,6,19,6,4,398,10,1,8,3,10,1,8,2,18,1,8,1,18,3,8,1,10,10,8,2,18,1,8,2,10,2,8,2,18,4,8,2,18,5,8,9,10,1,8,6,10,1,8,6,10,1,8,1,15,3,18,1,15,6,8,4,15,2,8,2,10,1,8,13,10,4,8,4,10,4,8,8,10,2,8,2,18,3,8,4,10,7,8,22,10,12,8,9,10,8,8,12,10,6,8,2,10,5,8,5,10,6,8,4,18,1,8,18,15,2,8,5,15,2,8,3,15,1,7,1,8,5,18,2,4,1869,19,12,4,4,10,14,18,1,10,31,8,1,10,7,8,2,10,2,8,3,10,14,8,5,10,68,4,2,19,12,4,3,19,3,4,4,10,5,18,1,4,6,10,32,8,1,10,13,4,40,19,7,4,3,18,1,8,2,10,6,8,2,10,6,8,1,10,11,8,3,18,2,8,3,10,6,8,9,7,1,8,12,10,5,8,2,10,2,8,11,10,4,8,13,10,4,},
{4,12,10,2,4,10,19,3,4,4,19,3,4,2,19,2,4,4,18,2,10,6,18,1,4,3,19,2,4,404,10,1,8,11,10,11,8,1,18,2,8,2,10,2,8,2,18,4,8,4,18,3,8,15,10,3,8,5,10,1,8,2,18,1,8,2,18,1,15,5,8,3,15,3,8,1,10,3,8,3,10,2,8,7,10,4,8,3,10,5,8,17,10,10,8,20,10,14,8,7,10,8,8,6,10,1,8,16,10,2,8,8,10,5,8,16,10,3,8,2,15,3,8,5,15,3,8,2,15,2,8,5,18,2,4,1875,19,8,4,2,10,14,18,2,4,6,10,21,8,6,10,3,8,10,10,14,8,1,18,1,8,5,10,35,8,1,10,23,18,2,10,4,4,3,19,16,4,5,10,6,4,6,10,33,8,4,10,9,4,10,19,5,4,27,19,6,4,2,18,3,8,1,10,5,8,2,10,15,8,9,10,8,8,25,10,2,8,1,10,3,8,2,10,1,8,8,10,4,8,13,10,4,},
{4,11,18,1,10,2,4,9,19,5,4,3,19,5,4,5,18,1,8,1,10,3,8,1,10,2,18,1,4,3,19,3,4,403,18,1,10,1,8,8,10,13,8,5,10,3,8,1,18,6,8,13,18,2,8,5,10,5,8,12,15,3,18,1,8,4,15,2,8,1,10,3,8,3,10,1,8,8,10,4,8,3,10,5,8,7,18,2,8,8,10,5,8,1,10,3,8,21,10,28,8,6,10,3,8,16,10,1,8,3,18,2,8,3,10,5,8,6,10,2,8,8,10,2,8,4,15,2,8,5,15,6,8,6,18,2,4,1875,19,8,4,3,10,14,4,7,10,21,8,7,10,2,8,6,18,2,8,9,10,7,8,8,10,32,8,1,10,1,8,5,10,24,18,1,4,3,19,16,4,6,10,5,4,6,18,1,10,31,8,5,10,9,4,10,19,6,4,26,19,7,4,2,18,4,8,1,10,19,8,4,10,3,8,2,10,9,8,26,10,5,8,12,10,4,8,13,10,3,},
{4,9,10,5,4,7,19,7,4,3,19,4,4,2,18,2,10,5,8,3,10,1,18,1,4,3,19,4,4,397,19,4,4,2,8,1,10,4,8,4,10,6,8,3,10,1,8,8,10,4,8,1,18,3,8,2,18,2,8,4,18,2,8,6,18,2,8,5,10,5,8,24,10,1,8,18,10,6,8,3,10,3,8,1,18,4,8,7,10,3,8,27,10,6,8,1,10,20,8,6,10,5,8,18,18,4,8,2,10,5,8,11,18,3,8,8,15,2,8,5,15,5,8,6,18,4,4,1874,19,10,4,7,10,9,4,6,18,1,10,21,8,2,10,2,8,2,10,3,8,4,18,2,8,4,18,2,14,1,18,1,8,2,10,2,8,4,10,1,8,1,10,5,8,4,10,31,8,4,10,2,18,1,10,23,18,1,4,3,19,17,4,8,10,2,4,6,18,2,10,1,18,1,10,27,8,3,10,3,8,1,10,2,8,1,10,10,4,5,19,7,4,25,19,8,4,3,18,3,8,1,10,18,8,3,10,15,8,3,7,1,8,23,10,3,8,9,10,1,8,4,10,3,8,7,18,2,8,7,},
{4,8,10,6,18,1,4,4,19,9,4,3,19,4,4,1,18,2,8,1,10,2,8,5,10,1,4,4,19,4,4,397,19,5,4,1,18,1,8,2,10,13,18,2,8,4,18,3,8,3,10,4,8,2,18,1,8,3,18,3,8,2,18,4,8,5,18,3,8,3,10,6,8,3,18,3,8,37,10,5,8,3,10,4,8,1,18,4,8,8,10,1,8,28,10,6,8,4,10,17,8,6,10,5,8,18,18,4,8,2,10,5,8,9,18,5,8,9,15,1,8,5,15,5,8,2,15,4,18,5,4,1873,19,13,4,5,10,8,4,7,10,17,8,5,10,3,8,2,10,6,8,6,18,1,14,3,18,2,8,4,15,1,18,1,8,3,10,6,8,4,10,33,8,1,10,1,18,2,10,24,4,4,19,19,4,6,10,1,4,5,10,1,18,2,10,1,18,1,10,26,8,4,10,18,4,4,19,8,4,24,19,9,4,4,18,2,10,2,8,2,10,2,8,1,10,11,8,4,10,5,8,4,10,6,8,2,7,3,8,21,10,2,8,6,10,6,8,4,10,7,8,2,18,2,8,7,},
{4,6,10,7,18,2,4,2,19,11,4,3,19,2,4,3,18,1,8,1,10,2,8,5,10,1,4,4,19,5,4,397,19,5,4,1,18,1,8,2,10,12,8,1,18,2,8,1,10,2,8,1,18,3,8,3,10,4,8,4,10,1,8,2,18,9,8,6,18,1,8,3,10,6,8,3,18,4,8,5,10,1,8,22,10,1,8,3,18,1,8,3,10,4,8,5,10,3,8,3,18,1,8,38,10,9,8,2,10,14,8,9,10,5,8,12,10,1,8,5,18,3,8,2,10,4,8,4,18,1,8,12,10,1,8,14,15,3,8,1,15,2,14,1,15,1,18,5,4,1878,19,2,4,2,19,8,4,2,10,8,4,6,18,1,10,18,8,9,10,10,8,1,14,4,18,1,8,2,18,2,15,1,14,1,15,1,8,2,10,2,8,2,10,56,18,2,10,11,4,4,19,21,4,5,10,2,18,2,8,1,10,2,18,1,10,1,8,1,10,26,8,6,10,14,8,2,18,1,4,4,19,7,4,25,19,10,4,2,18,2,10,6,8,2,10,10,8,1,18,4,8,9,10,5,8,3,7,3,8,20,10,2,8,6,10,6,8,1,18,1,8,2,10,7,8,2,18,1,8,8,},
{4,5,10,7,18,3,4,1,19,11,4,9,8,1,10,3,8,5,10,1,4,4,19,2,4,400,19,4,4,2,18,1,8,2,10,9,8,2,10,2,8,2,10,2,8,1,18,4,8,6,10,3,8,2,10,1,8,4,18,10,8,7,10,2,8,8,18,3,8,5,10,2,8,10,10,2,8,4,10,1,8,3,10,2,8,4,18,1,8,2,10,4,8,18,10,2,8,28,10,6,8,1,10,2,8,4,10,10,8,13,10,6,8,11,10,1,8,10,10,4,8,4,18,1,8,11,10,2,8,6,15,5,8,1,15,1,8,1,15,6,14,1,18,3,4,1885,19,8,4,3,10,6,4,7,18,1,10,19,8,9,10,9,8,1,14,3,18,1,8,4,15,1,14,2,15,1,8,2,10,2,8,4,10,51,18,1,10,1,18,4,10,10,4,4,19,21,4,6,18,3,8,1,10,20,8,1,10,10,8,2,10,1,8,4,10,13,8,2,10,2,4,4,19,6,4,28,19,8,4,2,18,2,10,17,8,2,18,2,14,1,15,1,18,1,8,8,10,5,8,15,10,2,8,8,10,2,8,6,10,6,8,1,18,2,8,2,10,6,8,9,18,2,},
{18,1,4,1,10,1,18,3,10,3,4,7,19,6,4,13,10,6,8,2,10,2,4,407,19,4,4,1,18,2,8,1,10,9,8,3,10,6,8,1,18,3,8,4,18,2,8,2,10,3,8,3,10,1,8,3,18,6,15,2,18,2,8,5,10,2,8,9,18,2,8,7,10,1,8,9,10,3,8,3,10,3,8,2,10,2,8,6,10,6,8,16,10,4,8,25,10,8,8,8,10,9,8,14,10,4,8,14,10,3,8,6,10,3,8,25,15,14,18,3,4,1886,19,8,4,15,18,2,10,16,18,1,10,3,8,3,18,1,8,6,10,7,8,2,18,1,8,3,10,1,8,10,10,1,8,4,10,2,8,3,10,62,4,3,19,12,4,4,19,6,4,7,10,2,8,3,10,18,8,1,10,9,8,2,10,1,8,2,10,21,4,2,19,6,4,30,19,6,4,4,18,2,10,17,8,1,18,3,8,4,18,2,8,4,10,4,8,7,7,1,8,6,10,3,8,9,10,7,8,4,10,2,8,1,14,1,18,1,8,1,10,7,8,8,18,3,},
{10,3,8,1,18,2,10,2,4,8,19,6,4,12,10,11,4,406,19,5,4,1,18,2,10,10,8,3,10,6,18,2,8,3,10,1,8,2,18,3,8,2,10,2,8,3,10,2,8,3,18,2,8,1,18,5,8,6,10,2,8,24,18,1,8,3,10,4,8,1,10,3,8,3,10,2,8,1,10,3,8,2,10,6,8,10,10,2,8,4,10,5,8,24,10,9,8,6,10,11,8,13,10,4,8,14,10,11,8,16,18,4,15,20,18,2,4,1888,19,7,4,14,10,1,18,1,9,1,18,1,10,15,18,2,10,3,8,11,10,16,8,5,10,12,18,2,10,21,8,2,10,37,4,3,19,11,4,4,19,6,4,8,10,2,8,2,10,28,8,5,10,1,8,1,10,1,8,3,10,15,4,2,19,6,4,30,19,8,4,3,18,2,8,1,10,16,8,15,10,5,8,3,7,1,8,8,10,2,8,10,10,2,8,1,10,3,8,4,10,2,8,1,18,1,8,3,10,7,8,8,18,2,},
{10,2,8,5,18,1,4,4,19,1,4,11,19,5,4,1,19,1,4,3,10,5,8,3,10,2,4,407,19,5,4,2,10,10,8,7,18,1,8,2,18,1,8,2,10,4,8,8,10,3,8,20,10,4,8,9,10,2,8,9,18,1,15,1,8,2,10,2,8,3,10,3,8,7,10,11,8,4,10,2,8,3,10,4,8,3,10,5,8,18,10,6,8,6,10,23,8,9,10,4,8,9,10,2,8,7,10,8,8,8,18,1,15,1,18,1,8,5,18,1,15,1,18,1,8,2,15,17,18,1,14,1,18,1,4,1891,19,5,4,2,19,6,4,6,10,26,8,6,10,4,8,1,10,16,8,1,10,14,18,1,10,20,8,3,10,20,8,1,10,13,18,4,4,4,19,10,4,3,19,5,4,2,19,4,4,4,10,33,8,2,18,1,8,2,10,4,8,1,10,12,8,3,4,3,19,7,4,30,19,6,4,3,18,2,8,1,10,17,8,14,10,5,8,2,18,2,8,16,10,2,8,6,10,3,8,2,10,3,8,7,10,7,8,3,18,1,8,4,},
{8,2,10,5,18,1,4,2,19,4,4,10,19,8,4,2,10,5,8,2,10,3,4,406,19,6,4,2,10,6,8,6,10,1,8,2,18,5,8,1,10,9,8,5,10,3,8,21,10,5,8,7,10,3,8,12,10,2,8,4,10,2,8,6,10,12,8,10,10,3,8,3,10,3,8,19,10,7,8,6,10,4,8,1,10,8,8,3,10,6,8,22,10,3,8,7,10,7,8,9,15,2,18,1,8,6,18,1,8,3,15,8,7,2,15,8,18,2,4,1893,19,2,4,3,19,6,4,7,10,3,18,4,10,20,8,10,10,67,8,2,10,5,8,4,10,10,18,4,4,8,19,5,4,3,19,6,4,2,19,5,4,3,10,33,8,5,10,17,8,3,10,1,4,3,19,6,4,31,19,6,4,3,18,2,10,18,8,4,10,4,8,7,10,3,8,1,7,2,8,9,14,1,18,1,8,4,10,4,8,7,10,1,8,3,10,3,8,2,10,1,8,4,10,7,8,8,},
{10,5,18,1,4,3,19,5,4,9,19,9,4,2,10,1,8,2,10,3,9,1,10,3,4,406,19,6,4,2,10,1,8,1,10,5,8,4,10,2,8,3,18,3,8,2,10,3,8,3,10,7,8,27,10,4,8,7,10,2,8,5,10,1,8,4,10,4,8,4,10,1,8,6,10,6,8,4,10,5,8,4,18,1,8,31,10,13,8,7,10,5,8,28,10,6,8,9,10,7,8,8,18,2,8,11,15,10,8,5,15,2,18,2,4,1899,19,7,4,9,10,2,9,1,18,1,10,19,8,11,10,14,8,1,10,32,8,2,10,9,8,3,10,4,8,1,10,2,8,2,10,4,8,1,10,3,8,1,10,14,18,1,10,3,4,11,19,6,4,2,19,5,4,5,10,23,8,4,10,7,8,2,10,17,8,2,10,3,4,3,19,6,4,31,19,6,4,3,18,2,10,18,8,3,10,4,8,4,7,2,18,1,8,1,10,2,8,11,18,2,8,4,10,5,8,4,7,1,8,16,10,3,8,4,10,2,8,6,},
{10,5,4,3,19,6,4,9,19,9,4,2,18,1,8,2,10,4,4,409,19,5,4,3,18,1,8,1,10,4,8,15,10,3,8,3,10,8,8,1,18,2,8,25,10,4,8,5,10,3,8,3,10,9,8,11,10,3,8,1,10,1,8,7,10,4,8,2,18,3,8,30,10,6,8,1,10,6,8,8,10,5,8,13,10,3,8,10,10,7,8,13,10,8,8,17,15,8,8,6,15,2,18,3,4,1899,19,11,4,5,10,2,18,2,10,19,8,12,10,46,8,4,10,6,8,5,10,1,8,8,10,3,8,5,10,15,18,2,10,2,4,10,19,6,4,2,19,6,4,4,10,24,8,3,10,8,8,1,10,1,8,2,10,11,8,3,10,5,4,3,19,8,4,29,19,7,4,5,10,18,8,3,10,4,8,4,7,2,8,2,10,1,8,10,18,1,8,8,10,3,8,22,10,2,8,4,10,3,8,1,10,3,8,1,},
{10,4,4,3,19,5,4,10,19,7,4,5,18,1,8,2,10,3,4,408,19,6,4,3,18,2,8,1,10,3,8,16,10,4,8,2,10,7,8,29,10,5,8,4,10,4,8,1,10,5,8,3,10,2,8,10,10,4,8,14,18,1,15,2,18,1,8,4,10,1,8,22,10,16,8,5,10,10,8,6,18,1,8,18,10,1,8,12,10,2,8,3,10,9,8,5,18,1,8,8,18,3,15,8,8,5,15,4,18,1,4,1901,19,11,4,4,10,23,8,6,10,53,8,4,10,4,8,24,10,14,18,4,4,10,19,5,4,3,19,6,4,4,10,8,8,2,10,25,8,3,10,1,8,1,10,9,8,8,9,1,4,3,19,9,4,30,19,7,4,3,18,1,8,3,10,14,8,5,10,5,8,4,10,3,8,1,18,2,8,14,18,1,8,12,7,2,8,10,10,3,8,4,10,7,8,1,},
{10,4,4,2,19,5,4,11,19,5,4,7,18,2,10,4,4,408,19,5,4,3,18,2,8,2,10,3,8,16,10,4,8,4,10,2,8,33,10,5,8,3,10,4,8,1,10,3,8,17,10,3,8,15,15,2,18,1,8,3,10,4,8,7,18,2,8,11,10,15,8,6,10,11,8,5,18,3,8,28,10,6,8,3,10,8,8,13,18,3,15,1,8,1,15,7,7,3,15,4,18,2,4,1902,19,10,4,4,10,25,8,3,10,22,8,6,10,30,8,4,10,5,8,6,10,1,8,12,10,19,4,10,19,4,4,3,19,6,4,4,10,8,8,3,10,21,8,2,10,2,8,5,10,8,8,9,10,1,4,3,19,8,4,31,19,7,4,2,18,4,10,15,8,4,10,6,8,4,10,2,8,1,18,1,14,1,8,10,10,1,8,2,14,3,18,1,8,4,10,4,8,2,7,2,8,9,10,6,8,2,10,7,8,1,},
{10,4,4,2,19,5,4,11,19,5,4,1,18,1,10,2,18,5,4,3,18,1,4,251,19,1,4,156,19,5,4,3,18,2,8,2,10,3,8,16,10,4,8,40,10,4,8,3,10,3,8,8,18,2,8,12,10,3,8,5,10,1,8,4,18,2,8,4,18,1,8,2,10,6,8,7,18,2,8,12,10,12,8,6,10,10,8,9,18,1,8,28,10,8,8,9,10,6,8,9,18,2,8,2,15,6,7,5,15,2,18,3,4,1902,19,12,4,2,10,29,8,5,10,4,8,1,10,11,8,2,18,2,14,1,18,1,8,1,10,46,8,6,10,3,8,2,10,27,4,8,19,7,4,4,10,9,8,2,10,20,8,3,10,2,8,5,10,8,8,10,10,1,4,4,19,6,4,32,19,7,4,7,10,13,8,1,10,8,8,8,18,2,8,7,10,1,8,4,18,1,14,1,7,1,18,1,8,5,10,3,8,3,7,1,8,9,10,3,8,1,10,4,8,4,10,4,8,1,},
{4,5,19,6,4,11,19,5,4,1,10,2,18,6,4,254,19,5,4,153,19,5,4,2,18,3,8,2,10,3,8,10,10,9,8,5,18,6,8,38,10,1,8,8,18,1,15,2,8,12,10,3,8,9,15,2,8,8,10,6,8,22,10,2,8,3,10,6,8,5,10,8,8,26,10,1,8,19,10,3,8,10,10,5,8,9,15,1,18,1,8,2,15,6,7,4,15,3,18,2,4,1903,19,12,4,2,10,29,8,12,10,8,8,3,18,1,14,3,8,1,10,7,8,2,10,8,8,2,10,18,8,1,10,8,8,6,10,4,8,1,10,21,18,1,10,6,4,6,19,8,4,4,10,2,18,1,8,1,10,28,8,1,10,4,8,5,10,7,8,9,18,1,10,1,4,4,19,6,4,32,19,10,4,4,10,22,8,22,18,2,8,8,10,2,8,3,7,1,8,4,10,2,8,2,10,4,8,2,10,3,8,4,10,3,8,2,},
{19,8,4,13,19,5,4,2,10,2,8,1,18,5,4,252,19,8,4,152,19,2,4,5,18,3,8,2,10,4,8,7,10,10,8,3,18,2,8,6,18,4,8,40,10,2,8,18,10,1,8,8,15,4,8,2,10,2,8,4,10,3,8,15,10,8,8,7,10,6,8,4,10,9,8,24,10,3,8,8,10,1,8,5,18,2,8,22,15,6,18,1,15,10,7,5,8,1,15,2,18,2,4,1905,19,11,4,1,10,30,8,7,18,3,8,2,10,6,8,4,18,1,15,1,18,1,8,2,10,6,8,3,10,7,8,3,10,23,8,2,10,1,8,7,10,33,4,6,19,10,4,2,10,1,18,4,8,1,10,19,8,5,10,7,8,5,10,7,8,11,4,4,19,8,4,30,19,12,4,2,18,1,10,7,8,2,10,6,8,18,18,2,8,18,10,2,8,8,10,2,8,2,10,3,8,4,10,2,8,4,10,3,8,2,},
{19,8,4,12,19,6,4,2,10,1,8,3,18,3,4,253,19,8,4,156,18,6,8,3,10,4,8,1,10,14,8,4,18,2,8,7,18,1,15,1,18,2,8,39,10,3,8,6,18,1,8,18,15,4,8,2,10,3,9,1,8,3,10,1,9,1,8,17,10,7,8,6,10,23,8,1,10,1,8,19,10,3,8,5,10,6,8,2,18,1,15,2,8,21,18,1,15,2,14,2,15,13,7,1,8,5,15,2,18,2,4,1906,19,10,4,2,10,31,8,4,18,5,8,2,10,6,8,3,18,1,8,3,10,5,8,3,18,1,8,4,10,4,8,3,10,22,8,10,10,34,4,6,19,10,4,3,10,1,18,5,8,1,10,17,8,5,10,8,8,6,10,8,8,8,18,1,4,4,19,7,4,32,19,10,4,2,18,1,10,7,8,2,10,4,8,4,10,3,8,9,10,2,8,2,18,3,8,10,7,1,8,5,10,3,8,8,10,2,8,1,10,4,8,10,10,3,8,2,},
{19,8,4,12,19,5,4,2,10,1,8,4,10,2,4,254,19,11,4,14,19,1,4,1,19,2,4,124,19,4,4,5,18,5,8,3,18,1,8,2,10,19,8,13,18,4,8,39,10,2,8,7,18,1,8,19,15,2,8,4,10,2,8,3,10,3,8,20,10,4,8,1,10,2,8,1,10,29,8,18,10,2,8,5,10,6,8,3,18,2,8,18,10,2,9,1,8,2,18,8,15,1,14,3,15,4,8,6,15,2,18,2,4,1907,19,9,4,2,10,33,8,2,18,3,8,6,10,4,8,2,15,2,8,2,10,5,8,11,10,2,8,2,10,7,8,2,10,11,8,12,10,37,4,4,19,10,4,6,18,4,8,1,10,18,8,1,10,10,8,5,10,1,8,1,10,1,8,1,10,5,8,5,10,2,8,2,9,1,10,1,4,3,19,6,4,36,19,6,4,2,10,14,8,3,10,6,8,4,18,2,8,1,10,2,8,2,18,2,8,5,18,1,8,4,14,3,8,4,10,4,8,8,10,1,8,1,10,4,8,10,10,5,},
{19,7,4,12,19,6,4,1,18,2,8,3,10,3,4,254,19,12,4,12,19,6,4,122,19,6,4,3,18,4,8,8,10,19,8,96,10,3,8,13,18,1,15,1,18,1,8,8,10,33,8,26,10,6,8,18,10,2,8,2,10,3,9,1,8,2,18,7,15,1,14,3,15,4,8,6,15,2,18,2,4,1907,19,9,4,2,10,33,8,13,10,3,8,1,18,1,15,1,18,1,8,2,10,5,8,3,18,5,8,2,10,12,8,1,10,10,8,12,10,22,18,1,10,15,4,4,19,10,4,6,10,1,18,4,8,1,10,29,8,10,10,3,8,5,10,3,8,2,10,2,4,2,19,6,4,36,19,6,4,2,10,6,8,2,10,4,8,3,10,8,8,1,10,1,8,5,10,3,8,21,10,3,8,5,18,2,8,3,10,4,8,11,10,4,},
{4,18,19,6,4,2,18,2,8,3,10,2,8,1,18,1,4,259,19,6,4,12,19,6,4,122,19,5,4,4,18,3,8,2,10,2,8,5,10,19,8,5,10,1,8,8,10,2,8,50,18,1,8,13,15,2,8,14,10,3,9,1,8,12,18,1,15,2,18,1,8,7,10,21,8,5,10,6,8,14,18,1,8,14,10,5,8,16,10,3,8,3,10,1,9,1,8,3,18,3,15,5,14,3,15,3,8,7,15,2,18,2,4,1907,19,9,4,2,10,23,8,24,10,3,8,2,14,3,8,2,10,4,8,2,18,4,8,2,10,25,8,10,10,32,18,2,10,5,4,4,19,10,4,6,10,2,18,4,8,1,10,20,8,3,10,5,8,2,10,1,8,7,10,3,8,5,10,3,8,2,10,2,4,5,19,3,4,44,10,6,8,3,10,3,8,2,10,8,8,2,10,9,8,4,10,3,8,7,10,1,8,4,7,1,8,9,18,3,8,2,10,4,8,11,10,4,},
{4,18,19,4,4,4,18,2,10,6,4,256,18,2,4,3,19,5,4,12,19,6,4,122,19,4,4,5,18,2,8,3,10,1,8,4,10,5,8,2,10,7,8,12,10,2,8,7,10,2,8,44,18,2,8,4,18,1,15,2,8,5,18,1,8,5,15,2,8,4,9,2,8,3,15,2,8,3,9,1,10,1,8,8,18,3,8,3,18,3,8,9,10,5,8,5,10,10,8,25,18,2,8,13,10,4,8,17,10,2,8,10,18,6,15,6,8,8,15,1,18,2,4,1909,19,8,4,2,10,2,18,1,10,1,18,2,10,15,8,2,18,4,8,6,10,3,8,11,10,4,8,1,18,1,14,1,15,1,8,2,10,4,8,2,18,2,8,3,10,17,8,1,10,7,8,4,10,4,8,8,10,28,18,1,10,5,4,8,19,6,4,6,10,4,18,3,8,1,10,19,8,3,10,7,8,7,10,3,4,1,9,3,8,1,9,1,10,4,8,2,10,1,4,6,19,1,4,46,10,3,18,2,10,1,8,1,10,5,8,1,10,8,8,1,10,11,8,2,10,4,8,6,10,3,8,3,7,2,8,9,18,2,8,2,10,2,8,8,10,1,8,4,10,4,},
{4,17,19,5,4,3,18,2,4,1,10,4,4,258,18,2,4,2,19,6,4,12,19,5,4,121,19,7,4,4,18,2,8,7,10,5,8,3,10,6,8,15,10,4,8,49,18,2,8,4,18,1,15,3,8,3,18,2,8,5,15,4,8,22,18,3,8,16,10,3,8,7,10,4,8,2,10,3,8,24,18,3,8,10,10,5,8,6,10,2,8,15,18,1,8,8,18,6,8,2,18,1,8,10,18,3,4,1910,19,6,4,7,10,17,8,2,18,2,8,3,10,3,8,1,10,6,8,8,10,6,8,3,10,3,8,8,10,18,8,3,10,4,8,5,10,1,18,2,10,3,8,9,10,36,4,16,10,6,8,3,10,19,8,1,10,10,8,4,10,2,4,5,18,2,4,2,10,4,8,1,10,3,4,55,18,1,4,1,10,8,8,2,10,7,8,1,10,15,8,1,10,5,8,6,7,2,8,13,10,1,8,9,10,1,8,2,18,1,8,2,10,3,},
{4,14,19,7,4,268,18,4,4,3,19,3,4,13,19,4,4,120,19,9,4,4,18,2,8,7,10,5,8,4,10,4,8,16,10,6,8,14,18,2,8,8,18,2,8,27,18,1,15,3,8,12,15,2,8,32,10,2,8,8,10,1,8,4,10,3,8,7,10,1,8,1,10,5,8,5,10,1,8,1,10,1,9,1,8,17,10,1,8,5,10,6,8,7,10,1,8,14,18,1,15,1,18,1,8,3,9,1,8,5,18,3,8,13,18,3,4,1911,19,5,4,13,10,14,8,5,10,9,8,8,10,10,8,4,18,1,14,1,18,1,8,2,10,13,8,1,10,7,8,3,10,3,8,5,10,1,18,3,10,4,8,8,10,39,4,12,10,23,8,2,10,15,8,3,9,1,4,2,19,4,4,4,10,4,8,3,18,1,4,27,19,3,4,4,19,3,4,21,18,1,10,7,8,1,10,7,8,1,10,15,8,1,10,4,8,7,7,2,8,29,10,3,},
{4,12,19,7,4,7,19,4,4,2,19,1,4,223,19,9,4,23,10,3,8,1,10,1,4,131,19,23,4,2,10,1,8,9,10,4,8,11,10,4,8,27,18,4,8,8,18,5,8,5,10,5,8,26,18,2,8,14,10,3,8,5,15,2,18,1,8,23,10,7,8,2,10,5,8,2,10,5,8,1,10,5,8,6,10,1,8,22,10,2,8,18,9,1,8,1,9,1,8,1,15,3,8,14,15,1,8,2,15,3,8,3,15,1,18,2,4,3,19,1,4,1918,19,1,4,2,19,1,4,5,10,18,8,6,10,2,8,1,18,1,14,1,18,1,8,2,18,2,8,2,10,3,8,3,10,3,8,1,18,1,14,1,18,1,8,1,18,3,8,1,10,9,8,7,10,27,8,2,18,3,8,1,10,2,8,1,10,22,18,3,10,5,18,1,10,5,4,8,10,14,8,2,10,32,4,1,19,5,4,4,10,5,8,3,10,1,4,25,19,11,4,16,19,1,4,5,18,1,10,15,18,2,10,4,8,4,10,5,8,6,10,4,8,1,18,1,14,2,8,9,18,2,8,7,10,2,8,8,10,4,},
{4,12,19,7,4,6,19,9,4,222,19,10,4,9,18,4,10,22,18,1,4,7,10,1,4,3,18,3,4,108,19,24,4,1,10,1,8,12,10,1,8,11,10,4,8,5,10,3,8,11,10,1,8,20,18,4,8,3,10,6,8,27,18,2,8,14,10,3,8,5,15,2,18,1,8,23,10,15,8,1,10,11,8,54,15,4,8,11,15,5,7,1,15,2,8,1,15,2,18,2,4,1,19,4,4,1916,19,6,4,4,10,18,8,1,18,4,8,4,18,1,14,2,18,2,14,3,8,1,10,3,8,1,18,2,8,1,10,1,8,1,18,1,14,5,18,2,8,1,10,10,8,2,10,2,8,2,10,66,18,2,10,59,4,2,19,7,4,2,10,1,8,1,10,8,9,1,10,2,4,21,19,12,4,15,19,3,4,4,18,1,10,19,8,5,10,5,8,1,18,4,8,1,10,4,8,2,15,1,7,1,8,6,10,1,8,2,18,2,8,6,10,4,8,5,10,6,},
{4,12,19,7,4,4,19,15,4,218,19,10,4,3,10,6,8,4,10,16,8,2,10,14,18,5,10,2,4,106,19,23,4,2,10,1,8,7,10,3,8,15,10,2,8,5,10,5,8,10,10,2,8,26,10,3,8,22,18,1,8,7,18,2,8,14,10,2,8,6,15,3,8,23,10,19,8,1,10,7,8,45,15,1,8,9,15,6,8,6,15,3,8,3,15,5,14,2,18,2,4,1,19,4,4,1916,19,5,4,7,10,16,8,6,10,4,8,1,18,2,14,2,3,2,14,1,8,1,10,3,8,5,18,1,14,2,3,3,14,1,18,1,8,1,10,2,8,1,10,61,18,1,10,78,4,2,19,7,4,2,9,1,8,11,10,3,4,19,19,6,4,2,19,4,4,15,19,4,4,4,18,1,10,7,8,2,10,10,8,4,10,5,8,1,18,3,8,3,10,4,8,9,10,1,8,2,18,1,8,7,10,6,8,6,10,3,},
{4,12,19,7,4,3,19,16,4,217,19,10,4,3,18,4,10,3,8,3,10,18,8,3,10,5,8,3,18,1,8,1,18,4,8,1,18,1,10,3,4,106,19,23,4,2,8,6,10,5,8,21,10,6,8,35,10,5,8,5,18,3,8,7,18,2,8,4,18,3,8,8,18,1,8,22,18,1,15,2,18,1,8,17,10,7,8,4,10,11,8,6,10,4,8,44,15,3,8,8,15,6,8,5,15,4,8,5,15,3,14,2,18,1,4,2,19,4,4,1916,19,6,4,6,10,15,8,9,10,4,8,1,14,2,3,3,14,1,8,3,10,1,8,4,18,2,14,2,3,1,14,2,8,1,10,13,8,2,10,37,18,1,10,12,9,1,10,68,8,1,10,1,8,1,10,8,4,1,19,7,4,2,9,1,8,10,10,4,18,1,4,18,19,5,4,5,19,2,4,15,19,5,4,4,10,6,8,3,10,12,8,1,10,6,8,1,18,2,8,2,10,1,8,3,10,1,8,21,10,7,8,8,},
{4,12,19,6,4,4,19,16,4,214,19,11,4,5,18,3,8,1,10,3,8,2,10,11,8,3,10,13,8,10,10,4,4,106,19,3,4,3,19,8,4,4,19,4,4,3,8,6,10,5,8,21,10,6,8,8,18,1,8,24,10,4,8,23,18,1,15,3,18,1,8,7,15,3,8,21,15,2,18,1,8,2,18,1,8,14,10,7,8,5,10,4,8,2,10,4,8,6,10,4,8,22,10,6,8,15,18,1,15,4,8,8,15,2,14,1,15,2,8,6,15,6,8,4,15,1,14,2,18,1,4,1,19,5,4,1916,19,8,4,4,10,15,8,5,10,1,8,1,14,2,8,1,10,3,8,1,18,1,15,1,14,1,3,3,14,1,15,1,8,1,10,2,8,1,18,1,8,3,18,2,14,1,18,1,8,1,10,14,8,1,10,105,8,2,10,7,8,3,10,10,8,1,10,3,4,2,19,5,4,2,18,1,9,1,8,2,10,5,8,3,10,4,18,1,4,14,19,9,4,21,19,6,4,4,18,1,10,5,8,3,10,19,8,1,18,2,8,1,10,2,8,20,18,2,8,3,10,7,8,8,},
{4,13,19,3,4,7,19,15,4,214,19,8,4,7,18,2,8,3,10,17,8,2,10,17,8,1,10,1,8,1,10,1,8,1,10,5,4,114,19,5,4,10,18,2,8,8,10,3,8,21,10,4,8,10,18,7,8,45,15,4,8,8,15,2,18,1,8,12,15,1,8,2,10,1,8,5,15,3,18,2,15,2,8,15,10,5,8,5,10,3,8,3,10,3,8,7,10,4,8,18,10,10,8,9,15,3,18,1,8,10,15,1,8,4,15,5,8,6,15,2,8,1,15,4,8,4,18,3,4,1,19,5,4,1916,19,8,4,6,10,14,8,3,10,2,18,1,3,2,18,1,10,4,8,2,18,1,14,1,3,3,14,1,18,1,10,2,8,9,10,58,18,2,10,61,8,4,10,4,8,3,10,11,8,1,10,4,4,8,10,1,8,2,10,6,8,1,10,7,18,3,4,11,19,10,4,21,19,5,4,4,18,1,10,6,8,2,10,19,8,4,10,3,8,20,18,2,8,3,10,6,8,8,},
{4,30,19,8,4,214,19,4,4,6,18,5,10,51,4,98,19,1,4,10,18,3,4,11,18,7,8,42,10,1,8,5,18,6,8,43,15,6,8,8,15,2,8,13,15,2,8,1,10,1,8,5,15,3,18,2,15,2,8,17,10,3,8,4,10,4,8,4,10,2,8,7,10,3,8,19,10,3,8,3,10,4,8,3,18,3,8,3,15,3,18,1,8,30,15,3,8,6,10,1,4,1,19,5,4,1918,19,6,4,11,18,1,8,1,10,12,18,3,8,1,10,7,8,1,14,1,3,2,14,1,15,1,8,7,10,50,18,2,8,1,10,9,18,1,10,2,18,1,10,60,8,10,10,8,8,7,10,1,9,1,8,1,4,2,9,4,8,4,10,14,18,5,4,8,19,10,4,22,19,6,4,3,18,1,8,1,10,5,8,2,10,15,8,2,10,2,8,3,10,4,8,1,18,3,8,6,10,2,8,2,10,2,8,8,10,7,8,7,},
{4,31,19,7,4,215,19,1,4,5,18,5,8,1,10,53,4,95,19,5,4,8,18,4,4,2,18,10,3,1,18,5,8,40,10,4,8,4,18,5,8,34,18,6,8,2,18,1,15,6,8,24,15,2,8,7,15,1,18,2,8,2,18,1,15,1,8,17,10,5,8,3,10,3,8,11,10,5,8,19,10,3,8,4,10,1,8,4,18,1,15,2,18,1,8,3,15,4,18,1,8,10,15,2,8,8,15,3,8,6,15,4,8,4,10,2,4,1,19,6,4,1917,19,6,4,4,19,6,4,2,10,13,8,2,10,5,8,2,10,2,8,1,14,1,3,2,14,1,15,1,18,1,8,1,10,10,8,1,10,44,18,3,10,9,18,1,10,2,18,1,10,37,18,1,10,23,8,8,10,11,8,23,10,12,18,3,4,8,19,9,4,22,19,6,4,4,18,2,10,20,8,3,10,3,8,2,10,2,8,1,10,1,8,1,18,3,8,5,10,4,8,11,10,9,8,5,},
{4,32,19,6,4,201,19,5,4,14,18,1,8,1,10,5,8,1,10,53,4,3,19,1,4,89,19,4,4,9,18,4,8,1,10,2,18,13,8,43,10,4,8,25,18,3,8,11,18,5,15,5,18,2,15,4,8,27,15,1,8,4,18,1,8,2,18,1,15,1,18,1,8,23,10,6,8,3,10,4,8,4,10,8,8,32,18,3,8,4,15,1,14,1,15,3,18,1,8,9,15,3,8,8,15,2,8,6,15,5,8,1,15,1,8,1,10,2,4,1,19,7,4,1916,19,8,4,2,19,7,4,1,10,6,18,4,10,8,8,1,14,2,3,1,14,1,18,2,3,1,16,2,14,1,15,2,8,1,10,10,8,1,10,6,8,3,10,10,8,1,10,24,18,3,10,10,18,2,10,6,18,2,10,55,8,6,10,14,8,2,10,1,8,3,10,1,8,1,10,1,8,2,10,4,8,9,10,11,18,1,4,11,19,10,4,18,19,6,4,4,18,2,8,1,10,5,8,4,10,11,8,2,10,10,18,4,8,4,10,4,8,11,10,10,8,4,},
{4,31,19,6,4,201,19,6,4,13,18,1,10,7,8,4,10,32,8,4,10,5,8,2,10,7,4,2,19,3,4,88,19,4,4,4,18,6,8,3,10,3,8,2,18,2,8,52,10,1,8,28,18,5,8,7,18,4,15,2,14,3,15,9,8,20,15,2,8,9,15,2,18,2,15,2,18,1,8,23,10,7,8,2,10,5,8,3,10,8,8,8,18,1,8,5,10,3,8,16,18,1,8,5,18,1,14,1,15,4,18,2,8,1,15,5,8,1,15,4,8,7,15,2,8,6,15,6,18,2,8,1,10,1,4,1,19,7,4,1917,19,7,4,2,19,7,4,2,10,5,18,1,10,2,18,1,10,8,18,1,3,4,14,3,3,2,15,1,8,3,10,8,8,2,10,7,8,2,10,11,8,2,10,44,18,2,10,78,8,1,10,13,8,9,10,10,18,1,4,13,19,7,4,18,19,6,4,4,18,3,10,2,8,2,10,2,8,3,10,11,8,2,10,10,8,1,18,3,8,4,10,4,8,12,10,10,8,3,},
{4,30,19,6,4,201,19,7,4,4,18,6,10,9,8,7,10,2,8,2,10,6,8,1,10,19,8,5,10,14,4,1,19,4,4,80,19,3,4,5,19,5,4,1,18,6,8,5,10,4,8,1,18,8,8,4,18,1,8,33,10,2,8,11,18,3,8,21,18,5,8,7,18,3,15,2,14,3,15,10,8,19,15,4,8,8,15,2,18,2,15,2,8,25,10,5,8,3,10,5,8,3,10,8,8,8,18,1,8,15,10,4,8,11,18,1,15,18,8,15,15,5,18,3,8,1,10,1,4,2,19,7,4,1919,19,6,4,1,19,6,4,6,10,1,18,4,10,8,18,1,14,2,3,1,14,2,18,2,14,2,8,1,10,2,8,2,10,5,8,3,10,21,8,2,10,64,18,2,10,2,4,13,10,50,8,1,10,10,8,6,10,19,18,3,4,2,19,8,4,16,19,6,4,7,18,1,10,6,8,1,10,24,8,26,10,8,8,3,},
{4,30,19,6,4,197,19,10,4,5,18,1,8,4,10,1,8,1,10,6,8,8,10,3,8,2,10,4,8,3,10,20,8,4,10,14,4,1,19,4,4,77,19,7,4,4,19,5,4,1,10,1,8,11,10,4,8,1,18,6,8,5,18,1,8,4,10,2,8,25,10,3,8,9,18,6,8,21,18,6,8,5,18,4,15,6,18,5,15,4,8,18,15,6,8,8,18,1,8,2,18,2,8,8,10,4,8,13,10,5,8,3,10,6,8,3,10,7,8,24,10,3,8,6,18,4,8,1,18,2,15,3,14,3,15,16,8,6,15,8,8,6,9,1,4,3,19,11,4,1914,19,6,4,2,19,3,4,9,10,7,18,1,10,4,8,1,18,6,8,1,18,1,8,1,10,3,8,4,10,2,8,1,18,1,15,1,18,1,10,51,8,1,10,19,18,3,10,12,18,3,10,2,4,15,10,26,8,1,10,19,8,5,10,10,8,4,10,19,18,3,4,3,19,7,4,16,19,6,4,2,19,3,4,3,18,1,10,32,8,4,18,3,8,19,10,7,8,2,},
{4,30,19,6,4,196,19,8,4,8,10,11,8,8,10,5,8,2,10,5,8,1,10,22,8,2,10,15,4,2,19,3,4,76,19,8,4,4,19,3,4,3,10,2,8,12,10,2,8,2,18,5,8,10,10,2,8,25,10,2,8,10,18,3,15,2,18,2,8,22,18,6,8,4,18,8,8,6,18,1,15,2,8,20,15,6,8,20,10,4,8,14,10,4,8,3,10,7,8,3,10,6,8,32,18,1,15,11,14,1,15,18,8,5,15,3,14,2,15,2,8,7,18,1,4,8,19,6,4,1914,19,6,4,14,10,7,18,1,10,4,8,4,18,3,8,3,10,3,8,1,15,2,8,2,10,1,8,1,14,3,8,1,10,17,8,1,10,45,18,1,10,5,18,4,10,12,18,2,9,1,10,2,4,2,19,8,4,8,10,35,8,1,10,6,8,7,10,2,8,1,10,8,8,2,10,18,8,1,18,4,4,3,19,6,4,17,19,5,4,2,19,4,4,3,18,1,8,1,10,7,8,2,10,12,8,3,10,8,8,2,18,4,8,19,10,6,8,2,},
{4,31,19,5,4,196,19,7,4,5,18,2,10,11,8,8,10,53,8,1,4,3,19,1,4,77,19,8,4,10,10,1,8,4,10,4,8,5,10,2,8,2,18,3,8,23,18,1,8,14,10,3,8,9,18,7,8,16,18,1,8,9,18,6,8,4,18,1,8,9,18,1,15,3,8,24,15,5,8,17,10,4,8,7,10,6,8,8,10,7,8,4,10,5,8,34,18,1,15,5,18,1,15,22,8,7,15,4,8,8,18,2,4,7,19,6,4,1915,19,2,4,1,19,1,4,18,10,3,18,1,10,2,8,1,10,6,8,1,18,3,8,1,10,1,8,3,18,1,15,2,8,1,10,2,8,1,15,1,14,3,8,1,10,10,8,1,10,5,8,1,10,43,18,1,10,27,4,3,19,9,4,8,10,41,8,5,10,10,18,1,10,20,8,4,18,5,4,1,19,6,4,24,19,5,4,3,18,2,10,4,8,5,10,11,8,3,10,8,8,3,18,3,8,4,18,1,8,14,10,6,8,2,},
{4,232,19,4,4,4,18,3,10,14,8,7,10,4,8,4,10,14,8,2,10,4,8,1,10,25,8,1,10,1,4,79,19,9,4,2,18,9,8,4,10,6,8,6,15,1,18,3,8,17,18,2,8,4,18,2,8,14,10,2,8,10,18,5,8,15,15,1,18,2,8,5,10,1,8,4,18,2,15,1,14,1,15,1,18,1,8,12,18,1,15,4,8,24,15,2,14,3,15,1,8,16,10,4,8,5,10,9,8,5,10,3,8,4,10,1,8,5,10,5,8,37,18,2,15,5,18,1,8,5,15,3,8,2,15,8,8,8,15,2,8,3,15,2,8,4,18,5,4,4,19,6,4,1190,19,3,4,734,19,6,4,7,10,10,8,1,18,1,14,1,18,1,10,2,8,1,18,1,14,2,15,1,8,1,10,4,18,1,14,1,3,2,14,1,8,1,10,4,8,2,10,2,8,2,10,10,8,3,10,36,18,5,10,11,18,4,10,5,4,6,19,10,4,10,18,2,10,1,4,20,10,16,8,3,10,8,4,4,18,3,4,2,10,14,8,6,18,4,4,1,19,6,4,24,19,5,4,4,18,1,8,1,10,2,8,3,10,2,8,2,10,11,8,1,10,5,8,2,10,3,8,8,18,2,8,14,10,6,8,2,},
{4,233,19,1,4,6,10,16,8,8,10,4,8,4,10,33,8,1,10,12,8,2,4,78,19,5,4,7,18,10,8,3,10,5,8,7,18,3,8,18,18,2,8,4,18,4,8,12,10,1,8,12,18,2,8,16,15,2,18,3,8,9,18,3,15,1,18,1,8,13,18,2,15,1,8,6,15,2,8,19,15,2,14,2,15,1,8,16,10,2,8,7,10,8,8,7,10,2,8,4,10,2,8,23,10,4,8,11,10,6,8,3,18,1,15,3,18,2,8,11,15,6,8,11,15,1,8,2,15,4,8,4,18,4,4,5,19,1,4,1,19,3,4,1189,19,5,4,732,19,12,4,2,10,9,8,1,18,2,14,1,18,1,10,2,18,1,3,2,14,1,15,1,10,4,8,2,14,1,3,3,18,1,10,3,8,1,18,3,8,2,10,11,8,2,10,39,9,1,10,1,18,1,10,12,18,3,10,5,4,6,19,10,4,15,19,1,4,18,10,20,18,5,4,11,10,12,8,5,10,4,18,2,4,1,19,6,4,24,19,7,4,3,18,1,8,1,10,5,8,4,10,5,8,1,10,17,8,22,10,6,8,2,},
{4,24,19,6,4,208,18,1,10,19,8,6,10,2,8,6,10,32,8,3,10,13,4,7,19,5,4,64,19,8,4,6,18,3,8,2,18,5,8,2,10,5,8,3,7,1,8,34,18,1,8,16,18,2,8,3,10,1,8,3,18,3,8,6,18,2,8,2,18,1,15,1,8,3,15,1,8,2,18,3,8,8,18,2,8,24,15,3,8,22,15,1,8,10,10,3,8,2,10,1,8,15,10,2,8,8,10,3,8,3,10,3,8,19,10,5,8,4,10,14,8,5,18,5,8,12,15,5,8,7,15,10,8,9,18,1,4,1198,19,4,4,7,18,1,3,4,18,1,4,719,19,13,4,2,10,4,18,1,10,4,18,4,8,1,10,1,8,1,3,3,14,1,15,1,10,3,18,1,14,1,18,2,14,2,3,1,14,1,8,1,10,2,8,1,18,3,8,1,10,2,8,1,18,1,8,1,10,3,8,3,10,9,8,1,10,22,18,2,10,26,18,3,10,2,4,6,19,10,4,14,19,5,4,21,10,1,18,3,10,3,18,6,4,9,19,4,4,4,10,3,8,1,10,8,8,6,10,3,18,1,4,3,19,5,4,28,19,4,4,3,18,1,10,4,8,2,18,1,8,1,10,6,8,2,10,13,8,1,10,2,8,1,18,2,8,3,10,2,8,6,18,2,8,1,10,3,8,3,10,7,},
{4,24,19,6,4,203,18,4,10,13,8,1,10,6,8,7,10,15,8,1,10,25,8,2,10,16,4,3,19,6,4,64,19,8,4,5,18,2,8,5,18,3,8,4,10,2,8,5,7,1,8,15,10,1,8,44,18,5,8,4,18,2,8,2,15,1,8,7,18,6,8,9,10,2,8,7,18,3,8,9,15,4,8,29,10,10,8,8,10,1,8,14,18,1,8,7,10,3,8,19,10,4,8,4,10,9,8,1,10,3,8,6,18,1,15,3,18,4,8,9,15,5,8,8,15,9,8,7,10,1,8,2,10,1,18,6,4,3,18,1,4,1187,19,5,4,6,3,2,16,4,3,1,4,719,19,13,4,3,10,5,18,1,10,2,18,3,8,1,10,2,18,1,3,2,14,1,15,1,8,1,10,2,8,1,14,2,18,1,8,2,18,1,14,2,18,1,8,1,10,2,9,1,8,1,18,4,3,2,18,1,10,3,8,1,18,2,8,1,10,33,18,1,10,26,18,1,10,3,4,6,19,9,4,11,19,19,4,1,19,2,4,9,18,3,4,2,10,1,18,5,4,8,19,8,4,3,10,12,8,5,10,4,18,1,4,3,19,3,4,29,19,5,4,3,10,4,8,1,18,1,8,1,10,3,8,1,10,3,8,2,10,2,8,3,10,8,8,2,10,1,8,1,18,1,8,2,10,4,8,2,18,1,8,3,18,2,8,1,10,3,8,7,10,3,},
{4,23,19,7,4,187,19,2,4,7,10,2,18,8,8,1,10,12,8,3,10,4,8,7,10,16,8,4,10,42,4,2,19,6,4,63,19,8,4,4,18,8,8,29,10,2,8,29,10,4,8,12,18,2,15,2,18,1,8,3,18,2,8,10,18,5,8,11,10,2,8,7,18,2,8,4,18,1,8,1,15,7,8,12,15,5,8,15,10,5,8,1,10,1,8,7,10,3,8,12,18,3,8,6,10,2,8,16,10,3,8,6,10,8,8,12,18,2,15,2,14,1,15,9,8,4,15,4,8,10,18,1,15,6,8,10,10,4,9,1,18,7,3,3,4,1185,19,4,4,2,18,1,3,4,16,7,3,3,4,716,19,14,4,3,10,7,18,3,8,1,10,2,8,1,18,2,10,5,8,1,14,2,18,1,8,1,10,1,8,1,18,1,14,1,18,1,8,1,10,5,18,1,3,1,16,2,3,1,14,1,10,3,18,1,14,1,18,1,8,1,10,6,18,1,10,57,4,6,19,8,4,12,19,22,4,26,19,10,4,7,18,2,10,7,8,4,10,5,18,2,4,33,19,6,4,3,10,4,8,1,10,2,8,2,10,9,8,1,18,2,8,1,10,7,8,1,10,2,8,2,10,2,8,1,10,3,8,5,18,2,8,1,10,3,8,8,10,2,},
{4,22,19,7,4,187,19,6,4,4,10,1,8,1,18,2,8,6,10,5,8,1,10,7,8,1,10,1,8,1,10,4,8,7,10,15,8,4,10,44,4,1,19,8,4,61,19,9,4,3,18,8,8,1,10,1,8,27,10,3,8,28,10,4,8,7,18,2,8,4,18,1,15,1,14,1,18,1,8,3,18,2,8,10,18,3,8,13,10,2,8,7,18,2,8,3,18,1,15,9,8,12,15,7,8,26,10,4,8,12,18,6,8,21,10,2,8,8,10,3,8,15,18,3,15,12,8,1,15,6,8,5,15,4,18,4,15,4,8,4,15,2,8,5,10,5,8,2,18,4,3,4,18,1,4,1185,19,2,4,2,3,2,16,14,3,1,4,715,19,15,4,2,10,8,8,2,10,12,14,1,3,1,14,2,18,5,8,1,10,5,18,1,3,1,16,2,3,2,18,1,8,2,18,1,14,1,3,1,14,1,18,1,10,3,8,1,10,34,18,2,10,21,8,1,10,2,4,5,19,8,4,12,19,22,4,16,19,5,4,5,19,10,4,9,18,1,10,6,8,6,10,3,18,2,4,33,19,7,4,3,18,1,10,6,8,1,10,2,8,1,18,1,10,2,8,2,10,2,8,1,18,2,10,4,8,1,10,2,8,2,10,5,8,2,10,3,8,4,18,2,8,1,10,3,8,10,},
{4,22,19,7,4,181,19,12,4,3,8,7,10,8,8,3,10,5,8,1,10,1,8,3,10,3,8,8,10,14,8,5,10,43,4,3,19,7,4,60,19,10,4,2,10,2,18,7,10,1,9,1,8,12,10,1,8,4,18,4,8,21,10,3,8,12,10,3,8,1,18,2,8,9,10,1,8,3,18,2,8,2,18,1,15,2,8,10,18,2,8,6,10,2,8,15,18,5,15,6,8,15,15,8,8,24,10,7,8,10,18,2,15,5,8,21,10,1,8,3,18,3,8,10,10,4,8,10,18,1,15,2,18,3,8,11,15,2,8,5,15,4,18,4,15,2,18,9,8,4,10,1,8,8,18,2,3,4,18,1,4,1188,18,1,3,1,16,15,3,1,4,715,19,15,4,2,10,22,15,1,3,1,16,2,3,3,14,2,8,1,10,2,18,2,8,1,10,1,18,2,8,1,14,1,3,1,16,1,3,2,18,2,3,2,14,1,10,67,4,3,19,7,4,16,19,18,4,12,19,10,4,4,19,8,4,2,19,2,4,8,10,5,8,2,18,5,8,3,18,1,4,34,19,8,4,4,10,2,8,2,10,4,18,2,8,1,10,1,18,2,10,3,8,1,18,2,10,2,8,1,18,2,8,1,10,15,8,1,18,2,8,1,10,4,8,5,10,4,},
{4,22,19,6,4,182,19,11,4,3,10,1,8,6,10,9,8,4,10,3,8,5,10,6,8,5,10,7,8,2,10,54,4,4,19,6,4,60,19,10,4,3,10,2,18,8,8,12,10,1,8,4,18,5,8,17,10,6,8,17,18,1,8,38,10,3,8,13,18,1,15,1,18,4,15,4,8,8,15,4,8,3,15,4,8,6,15,2,8,21,10,7,8,10,18,5,15,2,18,1,8,38,10,2,8,9,18,1,8,3,18,1,8,15,15,2,8,5,15,4,18,4,15,1,18,3,8,3,18,2,8,15,18,1,14,1,3,4,4,1188,3,2,16,17,3,1,4,717,19,2,4,1,19,9,4,3,10,15,18,1,14,2,18,1,10,2,18,1,3,1,16,4,3,2,14,1,8,1,10,2,18,1,3,1,14,1,18,1,10,3,8,1,16,4,14,1,18,1,3,3,8,1,10,3,8,2,10,4,8,1,10,56,4,3,19,7,4,17,19,17,4,12,19,10,4,5,19,1,4,2,19,3,4,3,19,6,4,4,18,1,8,2,10,1,8,3,18,9,4,35,19,8,4,3,18,1,10,2,8,1,10,2,8,1,10,1,8,1,18,1,8,2,18,2,10,3,8,1,18,2,8,1,10,1,8,1,18,1,8,2,10,16,8,2,10,5,8,2,10,7,},
{4,22,19,5,4,177,19,1,4,5,19,10,4,4,8,7,10,9,8,4,10,2,8,2,10,1,8,3,10,9,8,2,10,6,8,3,10,39,8,2,10,15,18,1,4,2,19,5,4,17,19,6,4,37,19,11,4,11,18,1,8,2,10,4,8,7,10,2,8,2,18,5,8,15,10,8,8,55,10,5,8,7,18,1,8,3,18,1,15,3,18,3,15,3,8,9,15,4,8,2,15,4,8,7,15,3,8,1,15,1,8,18,10,4,8,12,18,2,8,4,18,3,8,27,10,4,8,15,18,1,15,4,18,3,8,15,15,2,8,4,15,4,18,4,14,1,15,1,18,1,8,7,10,5,8,9,15,1,14,1,3,3,18,1,4,1186,3,3,16,20,3,2,18,1,4,718,19,9,4,3,10,13,18,1,14,1,3,1,16,1,3,1,14,1,18,2,14,1,3,1,16,4,3,1,18,1,10,3,8,1,3,3,8,1,10,2,8,1,16,4,3,1,18,2,14,1,3,1,18,1,10,2,8,1,18,3,10,16,18,2,10,43,4,3,19,8,4,44,19,10,4,14,19,6,4,4,18,2,8,8,18,8,4,36,19,6,4,5,10,9,8,5,18,3,8,3,10,9,8,2,10,8,8,2,10,4,8,3,10,7,},
{4,22,19,5,4,174,19,5,4,4,19,7,4,6,18,1,8,1,10,1,8,4,10,7,8,7,10,2,8,2,10,1,8,3,10,9,8,1,10,8,8,1,10,41,8,1,10,15,8,1,18,1,4,3,19,3,4,16,19,8,4,36,19,15,4,7,18,1,10,8,8,5,10,3,8,2,18,4,8,14,10,8,8,17,10,2,8,5,10,1,8,2,18,5,8,19,10,2,8,3,10,5,8,2,10,1,8,2,18,7,15,3,18,5,8,10,15,3,8,3,15,5,8,5,15,3,8,22,10,2,8,13,15,2,8,11,18,1,8,14,18,2,8,5,10,4,8,14,18,1,15,7,18,4,8,13,15,1,8,5,15,4,18,4,15,1,18,1,8,1,10,12,8,9,15,1,3,4,4,1186,3,1,16,25,3,1,4,718,19,10,4,3,10,12,18,2,3,4,14,1,3,3,16,3,3,1,14,1,8,1,10,4,18,1,3,1,16,1,3,1,18,1,10,1,8,1,16,3,3,2,14,1,18,2,3,1,14,1,18,1,8,1,18,2,3,1,18,1,8,1,10,15,18,2,10,44,4,2,19,9,4,43,19,10,4,14,19,6,4,5,18,3,8,2,10,1,8,4,18,8,4,35,19,8,4,4,10,10,8,1,18,3,8,2,18,1,8,1,10,2,8,1,10,7,8,2,10,5,8,4,10,5,8,3,10,7,},
{4,22,19,5,4,173,19,7,4,3,19,3,4,8,18,2,8,1,10,12,8,5,10,8,8,4,10,1,8,1,10,38,8,2,10,35,4,20,19,10,4,38,19,16,4,5,10,9,8,4,10,3,8,3,18,3,8,13,10,6,8,19,10,2,8,5,10,1,8,3,18,1,14,2,15,1,18,1,8,18,10,3,8,4,10,4,8,2,10,1,8,2,18,7,15,3,18,1,8,3,18,1,8,7,15,5,8,5,15,12,8,36,18,1,15,1,18,1,8,10,18,1,15,1,8,13,18,6,8,8,15,6,18,3,8,2,18,2,15,12,8,15,15,3,18,2,15,1,18,7,10,13,8,10,14,1,3,2,4,1186,18,1,3,1,16,26,3,1,4,718,19,9,4,4,10,4,9,1,18,2,10,5,8,3,18,2,3,1,16,3,3,3,18,1,10,7,3,1,16,3,18,1,10,2,18,2,14,1,3,2,14,3,18,2,8,1,18,2,3,2,18,1,10,7,8,1,10,53,4,2,19,9,4,44,19,5,4,18,19,6,4,7,18,4,8,5,18,1,4,2,18,6,4,33,19,10,4,2,18,1,8,1,10,1,8,1,10,2,8,1,10,3,8,6,18,1,8,1,10,1,8,3,10,16,8,2,10,4,8,2,10,8,},
{4,22,19,4,4,174,19,8,4,7,18,2,10,4,8,3,10,5,8,5,10,2,8,5,10,7,8,5,10,6,8,1,10,1,8,1,10,27,8,6,10,36,4,19,19,10,4,39,19,15,4,5,10,10,8,2,10,5,8,18,10,2,8,22,10,2,8,9,18,2,15,2,18,3,8,17,10,3,8,4,10,4,8,2,10,1,8,3,18,6,15,3,18,1,8,7,15,9,8,6,15,11,8,37,18,2,8,10,15,2,8,14,18,2,8,11,18,1,15,7,18,2,8,2,18,3,15,1,18,5,15,5,8,13,15,4,18,3,14,3,18,2,9,1,10,3,4,3,10,8,8,9,18,4,4,1186,3,1,16,28,3,1,18,1,4,717,19,8,4,5,10,3,18,3,10,9,8,1,3,1,16,2,3,3,18,2,8,1,10,6,18,1,3,1,16,3,18,1,10,3,18,1,3,5,14,2,18,2,8,1,18,2,8,1,10,4,18,1,8,1,18,2,8,1,10,52,4,4,19,8,4,44,19,3,4,20,19,4,4,13,10,4,4,7,18,3,4,32,19,11,4,1,10,1,8,1,10,6,8,2,10,1,8,1,10,2,8,2,18,1,8,1,10,2,8,2,10,16,8,2,10,14,},
{4,198,19,10,4,4,18,4,8,4,10,1,8,3,10,4,8,7,10,1,8,5,10,8,8,3,10,7,8,5,10,6,8,1,10,18,8,6,10,39,18,5,4,12,19,12,4,39,19,12,4,6,10,1,8,4,10,10,8,3,18,3,8,37,10,1,8,9,18,4,8,6,18,2,8,2,15,1,8,10,10,3,8,5,10,3,8,7,18,5,15,3,18,1,8,7,15,10,8,5,15,10,8,21,18,1,8,27,18,1,15,2,8,17,10,1,8,6,10,2,8,5,18,4,8,13,15,4,8,14,15,3,18,3,14,4,18,1,9,1,4,14,18,1,8,7,15,1,14,2,18,2,4,1187,18,1,3,1,16,29,3,2,4,717,19,7,4,5,10,2,9,1,18,1,10,8,8,2,18,1,14,1,3,2,18,1,14,1,3,4,14,1,8,1,10,4,18,1,3,1,16,3,3,1,18,1,9,1,8,1,14,1,3,8,18,1,10,4,8,3,18,6,10,54,4,2,19,9,4,84,10,2,18,1,4,8,18,3,4,28,19,14,4,1,9,1,8,2,10,3,8,4,10,3,8,2,18,3,8,2,10,6,8,2,10,10,8,1,18,1,8,1,10,12,8,1,},
{4,196,19,12,4,2,18,1,8,1,18,1,8,10,10,5,8,6,10,4,8,5,10,6,8,4,10,8,8,1,10,1,8,10,10,15,8,7,10,41,18,8,4,8,19,12,4,38,19,12,4,6,10,3,8,3,10,8,8,4,18,3,8,43,10,1,8,2,18,3,8,4,18,1,8,19,10,2,8,15,18,5,15,3,18,1,8,7,15,13,8,1,15,4,8,15,18,2,8,18,10,4,8,15,18,2,15,3,8,16,10,3,8,5,10,3,8,21,15,5,8,12,15,3,8,1,18,2,15,1,14,4,18,1,10,1,4,14,18,2,8,3,18,1,8,2,15,1,14,1,18,2,4,1188,3,1,16,32,3,1,18,1,4,715,19,7,4,5,10,11,8,2,18,4,8,1,10,1,8,1,3,2,16,1,3,2,18,6,14,1,3,1,16,3,3,2,18,1,3,5,14,1,3,3,18,1,10,4,8,1,18,2,3,2,14,1,18,2,8,2,10,53,4,3,19,10,4,75,19,5,4,3,10,1,18,1,4,38,19,15,4,1,18,4,8,5,10,6,8,1,18,5,8,1,10,4,8,1,18,1,10,9,8,3,10,12,8,2,},
{4,196,19,9,4,5,10,1,8,11,10,6,8,5,10,7,8,5,10,1,8,6,10,10,8,11,10,15,8,6,10,26,8,4,10,26,4,3,19,11,4,39,19,16,4,1,10,13,8,6,18,3,8,5,10,6,8,9,10,1,8,5,10,5,8,9,10,3,8,3,18,2,8,4,15,1,18,1,8,18,10,3,8,14,18,5,15,3,18,1,8,8,18,7,15,9,18,1,8,11,18,12,8,11,10,5,8,15,18,1,15,4,8,11,10,2,8,2,10,4,8,13,18,1,8,1,18,10,8,3,18,1,15,6,8,11,15,3,8,1,18,3,14,3,18,1,9,1,10,1,4,14,18,2,8,2,18,1,14,1,18,2,14,1,18,2,4,1188,3,2,16,34,3,1,4,714,19,8,4,4,10,13,8,3,10,4,18,1,3,3,18,2,3,2,16,1,3,1,18,1,10,1,18,1,3,2,16,1,3,8,18,1,10,1,18,7,8,1,10,1,8,1,3,2,14,1,18,1,8,2,10,54,4,4,19,9,4,75,19,5,4,3,10,2,4,11,19,4,4,23,19,14,4,2,10,1,18,2,9,1,10,12,8,1,18,4,8,1,10,1,8,2,10,2,8,1,10,6,8,5,10,13,8,2,},
{4,196,19,8,4,5,18,1,8,5,10,3,8,4,10,6,8,5,10,7,8,6,10,2,8,1,10,14,8,10,10,14,8,2,10,1,8,2,10,28,8,7,10,25,4,4,19,8,4,43,19,12,4,2,10,8,8,3,10,4,8,3,18,1,8,7,10,6,8,16,10,2,8,10,10,2,8,11,15,1,8,20,10,2,8,12,18,7,15,4,18,1,8,1,18,1,15,2,18,2,8,8,18,1,15,4,18,2,15,2,18,1,8,19,18,3,8,6,10,1,8,11,10,3,8,12,15,3,18,1,8,11,10,4,8,14,18,2,8,6,18,7,8,6,15,3,8,11,15,6,18,2,15,1,18,3,10,2,4,14,18,10,4,1189,3,1,16,35,3,1,4,715,19,7,4,8,10,1,4,4,18,1,10,10,18,1,3,3,18,2,3,1,16,3,3,1,18,3,3,2,16,3,3,1,18,2,3,2,18,1,8,1,18,4,14,1,3,1,18,1,8,1,10,1,8,1,18,1,3,1,18,2,8,1,10,7,8,1,10,48,4,4,19,9,4,74,19,5,4,3,10,9,4,3,19,6,4,22,19,14,4,2,10,1,18,2,10,6,8,2,10,5,8,1,18,2,8,3,10,12,8,4,10,5,8,3,10,6,8,2,},
{4,196,19,5,4,5,18,1,10,1,18,1,8,6,10,13,8,5,10,6,8,6,10,24,8,5,10,12,8,2,10,2,8,3,10,6,8,1,10,18,8,1,10,5,8,4,10,25,18,1,4,8,19,2,4,44,19,12,4,6,10,3,8,3,10,6,8,8,10,6,8,26,10,2,8,3,18,3,8,16,15,1,8,12,10,2,8,11,18,2,15,1,14,1,15,4,14,3,15,5,14,2,15,2,18,1,8,7,18,1,15,3,8,2,18,1,15,3,18,1,8,25,10,3,8,10,10,3,8,3,10,1,9,1,8,3,10,2,8,2,18,1,15,1,18,1,8,28,18,1,15,2,18,1,8,2,10,1,8,30,15,7,18,3,8,1,10,1,4,17,18,1,4,2,10,2,18,2,4,1191,3,2,16,34,3,1,4,716,19,6,4,3,19,1,4,9,18,2,10,9,3,4,18,2,3,4,16,2,3,2,14,1,3,1,16,3,3,1,18,1,10,3,18,1,3,3,10,3,18,3,8,1,10,1,18,4,8,1,10,6,8,3,10,50,4,2,19,8,4,74,19,5,4,5,10,8,4,2,19,7,4,16,19,2,4,4,19,11,4,4,10,1,18,2,10,7,8,1,18,1,8,1,10,3,18,2,8,1,10,3,8,2,10,15,8,1,10,1,8,4,10,8,8,1,},
{4,197,19,1,4,8,10,2,8,6,10,15,8,3,10,8,8,4,18,1,8,7,10,34,8,2,10,2,8,1,10,26,8,2,10,5,8,3,10,29,4,12,19,5,4,35,19,15,4,5,10,1,8,3,10,7,8,6,10,5,8,7,10,1,8,19,10,3,8,2,18,2,15,1,18,2,8,11,18,2,8,2,15,1,8,11,10,3,8,11,18,7,15,1,14,2,15,2,18,3,15,4,18,1,8,8,18,1,15,3,8,3,18,1,15,4,18,1,8,23,10,2,8,11,10,3,8,8,10,2,9,1,8,2,18,1,8,2,18,1,8,20,10,2,8,4,18,2,8,4,10,1,8,31,15,6,18,2,9,1,10,2,4,1216,3,1,16,34,3,1,4,716,19,5,4,3,19,10,4,2,18,1,10,8,8,1,14,1,3,2,18,1,8,1,18,1,3,2,18,1,3,1,16,3,3,3,16,3,3,1,18,1,10,3,18,1,3,3,10,4,18,7,8,1,10,2,8,1,18,1,8,1,18,5,10,18,18,1,8,1,10,12,18,1,10,9,18,1,10,7,4,2,19,8,4,74,19,5,4,5,18,1,8,6,18,1,4,3,19,6,4,15,19,4,4,3,19,2,4,2,19,6,4,4,18,1,10,1,9,1,18,1,9,1,8,1,10,1,8,1,10,3,8,1,18,2,8,1,10,2,18,1,8,1,10,4,8,1,18,1,8,1,10,14,8,5,10,10,},
{4,184,19,5,4,4,18,1,4,8,10,8,8,2,10,29,8,2,18,1,14,3,18,5,8,1,10,5,8,2,10,2,8,2,10,4,8,2,10,17,8,3,10,21,8,5,10,7,8,3,10,34,4,8,19,6,4,34,19,17,4,3,10,2,8,4,10,7,8,2,10,5,8,1,18,1,8,1,18,3,8,2,10,1,8,7,10,2,8,4,18,2,8,3,10,6,8,1,18,4,8,8,10,1,8,15,10,2,8,1,10,4,8,17,18,7,8,1,18,2,8,11,18,4,8,5,15,5,8,5,10,3,8,28,10,3,9,1,8,21,10,2,8,3,18,4,8,2,9,4,8,24,15,3,8,7,15,1,7,3,15,2,7,2,15,1,8,2,15,3,18,3,9,1,10,3,4,12,19,5,4,4,19,4,4,1191,18,1,3,1,16,33,3,1,4,724,19,10,4,2,10,11,9,1,10,3,9,1,3,4,16,4,3,5,18,1,3,2,18,1,10,3,9,1,18,2,10,4,18,2,3,3,8,1,10,3,18,1,14,1,3,2,14,1,18,1,14,1,18,1,8,1,10,11,18,2,8,1,10,3,8,2,10,6,18,1,10,5,18,1,10,17,4,3,19,9,4,72,19,6,4,7,18,1,8,4,18,1,4,3,19,5,4,15,19,8,4,5,19,3,4,5,10,12,8,6,10,6,8,3,10,3,8,1,10,24,},
{4,184,19,6,4,2,18,1,10,4,18,3,10,7,8,1,10,8,8,2,10,4,8,2,10,18,8,1,18,1,14,1,3,1,14,2,15,2,14,1,18,1,8,1,10,4,8,3,10,2,8,2,10,4,8,1,10,24,8,4,10,13,8,6,10,7,8,3,10,10,8,1,10,24,4,1,18,1,4,5,19,6,4,34,19,9,4,2,19,7,4,2,10,1,8,1,18,2,8,5,10,1,8,2,10,8,18,6,10,4,8,17,10,6,8,2,18,2,8,7,10,5,8,13,10,8,8,17,18,4,8,5,9,3,8,2,9,3,8,3,18,3,8,6,18,1,15,3,8,6,10,5,8,25,9,1,10,3,9,1,8,2,18,4,8,14,10,4,9,1,8,1,18,5,9,1,10,2,9,1,8,14,15,3,8,7,15,2,14,1,15,2,8,5,15,1,7,4,8,1,7,4,8,3,15,1,18,4,10,2,9,2,4,12,19,6,4,2,19,6,4,1191,3,1,16,33,3,2,18,1,3,2,18,4,4,716,19,10,4,2,10,16,18,1,3,6,16,3,3,1,18,1,10,1,18,1,3,3,18,1,10,4,18,2,10,4,18,1,3,3,18,1,10,3,8,1,14,1,3,2,14,3,8,1,10,11,8,1,18,2,10,3,8,2,10,7,18,3,10,21,4,5,19,7,4,86,10,2,8,2,18,2,10,1,4,2,19,4,4,15,19,8,4,11,18,1,10,15,8,1,18,1,8,2,10,7,8,2,10,2,8,3,10,1,8,2,10,20,},
{4,182,19,8,4,3,10,3,8,3,10,8,8,1,10,9,8,1,10,4,8,2,10,18,8,1,18,1,14,3,18,1,8,4,10,4,8,4,10,2,8,2,10,29,8,5,10,15,8,1,10,8,8,3,10,11,8,1,10,17,8,5,10,4,4,5,19,8,4,32,19,9,4,3,19,6,4,2,10,1,18,1,14,2,18,5,8,4,10,6,4,10,10,1,8,1,18,1,8,20,10,1,8,11,10,5,8,14,10,7,8,18,18,2,8,12,9,2,8,4,18,2,8,1,18,1,15,2,18,4,8,10,10,3,8,27,9,3,8,1,18,5,8,9,10,1,8,6,10,4,9,1,8,1,18,1,15,1,18,1,8,1,9,2,8,22,15,7,8,4,7,3,8,6,7,3,8,2,15,2,18,3,4,17,19,14,4,1191,18,1,3,1,16,40,3,2,4,715,19,11,4,2,10,15,18,3,4,3,18,1,16,4,3,1,18,2,3,4,18,1,10,3,18,4,10,4,18,1,3,1,14,1,18,1,10,3,18,1,3,1,16,1,3,1,18,1,8,1,10,11,8,2,10,4,18,2,10,8,18,2,10,25,4,3,19,7,4,77,19,5,4,3,10,2,8,1,18,3,10,1,4,2,19,5,4,2,19,1,4,11,19,7,4,11,10,18,8,6,10,9,8,1,10,2,8,2,10,20,},
{4,179,19,10,4,4,10,2,8,2,10,25,8,2,10,14,8,1,10,4,8,1,18,2,8,3,10,6,8,5,10,33,8,5,10,23,8,1,10,33,8,4,10,5,4,4,19,10,4,30,19,9,4,3,19,6,4,2,10,1,18,5,4,1,18,4,4,19,18,2,8,33,10,2,8,18,10,6,8,36,18,5,15,4,18,1,8,12,10,2,8,31,18,4,8,10,10,2,8,6,10,3,9,1,8,1,18,1,15,1,18,1,8,7,18,1,8,16,15,2,14,1,15,2,8,6,15,4,8,5,15,6,18,3,4,19,19,17,4,1189,18,1,3,2,16,40,18,1,4,714,19,12,4,2,10,6,8,3,10,6,18,1,4,5,3,1,16,4,3,7,18,1,10,3,18,3,9,1,10,4,18,1,3,1,18,1,8,1,10,2,8,1,3,3,14,1,18,1,8,1,10,8,8,3,10,5,18,2,10,36,4,2,19,8,4,76,19,6,4,3,10,2,18,4,4,3,19,1,4,1,19,6,4,10,19,6,4,12,18,1,10,2,8,5,10,10,8,7,10,11,8,2,10,20,},
{4,176,19,12,4,5,18,1,10,12,8,1,10,15,8,2,10,14,8,1,10,16,8,2,18,1,8,2,10,6,8,2,10,25,8,5,10,6,8,3,10,57,4,8,19,14,4,22,19,10,4,2,19,6,4,2,10,1,18,2,4,18,19,5,4,4,18,3,8,16,10,3,8,33,10,6,8,3,10,1,8,31,18,2,15,7,18,2,8,44,18,4,8,23,18,2,15,2,18,1,8,15,15,2,8,5,15,3,14,1,15,2,8,6,15,11,14,2,3,2,18,2,4,20,19,18,4,1190,18,1,3,1,16,39,3,1,4,714,19,13,4,1,18,1,10,5,18,6,8,1,10,3,4,4,18,1,3,2,16,5,18,1,10,1,18,2,3,1,18,1,10,12,18,2,8,1,10,3,14,1,3,4,14,2,8,1,10,4,8,1,18,2,8,1,10,3,8,1,10,1,8,8,10,31,4,2,19,12,4,45,19,5,4,22,19,7,4,3,10,1,8,2,18,3,4,4,19,6,4,18,19,2,4,4,18,1,10,2,9,2,10,1,8,1,18,1,8,6,10,8,8,4,18,1,8,3,10,9,8,3,10,20,},
{4,176,19,9,4,6,18,1,4,1,10,44,8,3,10,16,8,3,10,4,8,5,10,26,8,2,10,8,8,5,10,56,4,7,19,14,4,22,19,9,4,4,19,3,4,4,18,2,4,18,19,6,4,4,18,3,8,4,18,1,8,11,10,3,8,33,10,2,8,14,18,1,8,24,18,2,15,5,18,1,8,2,18,2,15,1,18,1,8,18,15,1,8,20,18,5,8,21,18,7,15,1,18,3,15,1,18,1,15,2,8,8,15,4,8,3,15,5,8,7,15,6,14,2,15,1,18,6,4,3,19,3,4,16,19,8,4,1,19,9,4,1192,3,2,16,37,3,1,4,715,19,12,4,3,10,4,18,6,8,1,10,3,4,4,18,5,3,1,16,2,3,6,10,18,18,1,3,2,16,1,3,3,14,1,10,4,14,1,3,1,14,1,8,1,10,2,8,1,18,1,8,4,18,2,8,4,10,30,4,2,19,12,4,44,19,6,4,22,19,8,4,3,10,3,18,3,4,4,19,4,4,19,19,4,4,2,18,1,8,2,10,1,8,1,10,1,8,11,10,5,8,4,18,2,8,2,10,8,8,3,10,21,},
{4,176,19,6,4,4,18,6,10,45,8,4,10,11,8,2,10,2,8,2,10,3,8,7,10,36,8,4,10,61,4,4,19,13,4,62,19,6,4,5,18,3,8,3,18,1,8,10,10,5,8,4,10,2,8,26,10,2,8,14,18,2,8,23,18,2,15,3,18,1,8,5,15,5,8,4,10,2,8,32,18,3,8,20,18,9,15,5,18,1,15,2,18,1,8,7,15,7,8,14,15,2,14,4,18,4,4,4,19,5,4,18,19,5,4,3,19,8,4,1194,3,1,16,1,3,1,16,34,3,1,4,716,19,12,4,8,10,7,18,3,10,8,3,1,16,6,3,1,18,1,10,16,8,2,14,1,3,1,16,4,3,1,10,3,8,1,14,1,3,1,14,1,8,1,10,3,8,4,18,1,14,1,18,1,8,1,10,1,8,1,10,32,4,2,19,11,4,32,19,1,4,11,19,7,4,21,19,8,4,7,18,3,4,2,19,3,4,21,19,5,4,2,18,2,8,1,10,2,8,12,10,4,8,8,10,3,8,1,10,4,8,3,10,21,},
{4,176,19,5,4,4,18,4,8,1,10,26,8,2,10,18,8,7,10,4,8,3,10,2,8,6,10,3,8,7,10,102,4,4,19,11,4,63,19,6,4,5,18,3,8,7,10,1,8,6,10,5,8,3,10,3,8,20,10,2,8,3,10,2,8,15,18,3,8,22,18,6,8,6,15,3,8,5,10,2,8,25,10,2,9,1,8,5,18,1,8,22,18,3,8,4,18,2,15,2,18,3,8,2,18,1,8,8,15,6,8,7,15,3,8,4,15,2,14,3,18,2,4,6,19,6,4,26,19,7,4,5,19,2,4,1189,18,3,3,1,16,32,3,1,19,1,4,715,19,17,4,3,10,7,18,1,3,1,18,1,8,1,10,1,18,1,9,1,10,1,18,2,10,1,3,1,16,6,3,2,18,1,10,10,18,3,10,1,8,1,14,1,18,1,14,1,3,1,16,1,3,2,16,1,3,1,8,1,10,2,8,1,14,1,3,1,18,1,10,3,8,1,18,1,8,4,18,2,10,36,4,1,19,11,4,45,19,9,4,18,19,9,4,7,18,3,4,25,19,5,4,2,18,2,8,2,10,1,8,12,10,3,8,2,18,1,8,11,10,3,8,2,10,8,8,3,10,11,},
{4,167,19,2,4,1,19,1,4,13,18,2,8,3,10,4,8,1,10,1,8,5,10,14,8,5,10,9,8,3,10,4,8,3,18,1,8,5,10,2,8,2,18,1,8,4,18,2,8,2,10,4,8,7,10,34,8,1,10,18,8,1,10,6,8,2,10,7,8,3,10,30,4,50,19,3,4,6,19,2,4,24,19,2,4,2,18,4,8,4,10,6,8,4,10,3,8,4,10,3,8,19,10,3,8,3,10,3,8,45,18,2,8,30,15,4,18,1,8,4,10,3,8,32,9,1,8,4,18,1,8,17,15,3,8,7,15,4,8,4,15,2,14,2,18,2,4,2,19,9,4,14,19,6,4,11,19,1,4,8,19,3,4,1140,18,1,3,3,4,35,18,1,3,6,18,1,19,2,4,3,3,1,16,32,3,3,18,1,4,712,19,18,4,2,10,8,8,3,10,3,18,2,10,1,18,1,3,1,16,7,3,2,18,1,9,1,8,3,10,5,18,3,10,1,18,1,3,6,14,1,3,2,14,1,18,1,8,2,14,2,18,1,10,3,8,1,18,2,8,1,10,2,8,1,10,9,8,1,10,27,4,1,19,12,4,27,19,4,4,8,10,2,4,4,19,8,4,18,19,10,4,6,10,1,8,1,18,7,4,6,19,4,4,9,19,6,4,2,18,1,8,16,10,2,8,14,10,10,8,3,18,1,8,2,10,11,},
{4,166,19,6,4,7,18,5,8,4,10,5,8,6,10,14,8,7,10,4,8,2,10,3,8,3,10,3,8,2,18,2,8,2,10,1,8,2,10,1,8,2,18,2,8,4,18,2,8,2,10,3,8,3,10,64,8,2,10,7,8,4,10,2,8,3,10,5,8,3,10,18,4,1,10,1,4,47,19,4,4,4,19,4,4,22,19,4,4,1,18,5,8,3,10,7,8,20,18,2,8,4,10,2,8,4,10,3,8,3,10,2,8,46,18,1,15,1,8,30,15,5,8,27,10,3,8,8,9,2,8,31,15,2,14,2,15,1,8,4,15,3,18,2,4,2,19,7,4,17,19,6,4,19,19,4,4,1138,3,2,16,4,3,1,4,34,3,3,16,4,3,1,19,4,4,1,18,1,3,1,16,34,3,1,4,713,19,17,4,3,10,13,18,1,10,2,18,1,3,1,16,1,3,3,16,5,3,1,18,4,10,6,18,2,10,1,8,1,3,4,14,1,8,1,10,1,8,1,18,1,3,6,18,1,10,3,8,3,10,3,8,2,10,2,8,2,10,2,8,4,10,3,8,2,10,21,4,4,19,9,4,27,19,4,4,7,18,1,8,2,10,1,4,5,19,6,4,18,19,11,4,5,10,3,8,1,10,3,8,1,10,1,18,2,4,4,19,5,4,8,19,6,4,3,18,3,8,5,18,2,8,23,10,7,8,2,18,5,8,1,10,11,},
{4,159,19,1,4,5,19,7,4,4,18,5,8,2,10,10,8,2,10,18,8,6,10,10,8,3,10,2,8,3,18,1,8,3,10,4,8,2,18,2,8,4,18,2,8,2,10,3,8,2,10,74,8,4,10,2,8,3,10,5,8,5,10,23,18,8,4,34,19,12,4,22,19,4,4,2,18,4,8,4,10,4,8,16,18,4,8,1,18,3,8,4,10,2,8,23,18,3,8,23,18,3,8,6,15,2,8,30,18,1,15,2,18,2,8,17,15,5,8,4,10,4,8,14,18,1,8,25,15,3,14,1,15,2,8,4,15,2,18,3,4,2,19,6,4,15,19,9,4,2,18,4,10,2,18,3,3,1,18,4,4,2,19,5,4,1111,19,5,4,17,18,1,3,5,16,5,3,1,4,18,18,2,4,14,3,1,16,1,3,5,18,1,19,4,4,3,18,1,3,1,16,32,3,1,4,2,19,1,4,715,19,13,4,2,18,1,10,2,8,3,10,10,18,1,3,7,16,4,3,1,18,2,8,1,10,7,18,1,10,2,18,1,3,2,18,1,8,1,10,3,8,1,3,1,16,5,14,1,8,1,10,7,8,1,18,2,8,3,18,1,8,6,10,4,8,1,10,23,4,6,19,6,4,26,19,5,4,3,18,3,10,1,8,2,18,1,10,3,4,2,19,7,4,17,19,11,4,5,18,1,10,9,18,2,4,2,19,5,4,9,19,6,4,4,18,3,10,1,8,28,10,7,8,1,18,6,8,1,10,11,},
{4,158,19,14,4,4,18,3,8,4,10,31,8,5,10,12,8,10,10,6,8,9,10,4,8,2,10,55,8,2,10,17,8,4,10,3,8,2,10,4,8,11,10,16,8,2,18,8,4,34,19,12,4,22,19,4,4,2,18,3,8,14,10,3,8,8,18,3,8,3,18,2,8,28,18,4,8,22,18,5,8,5,15,2,8,20,15,4,8,27,15,6,8,3,10,2,8,9,18,2,15,1,18,2,8,3,15,3,18,1,8,12,15,2,8,4,15,9,8,5,15,2,18,1,8,1,10,1,4,2,19,6,4,14,19,10,4,2,18,8,3,2,18,4,4,2,19,4,4,1111,19,7,4,15,3,2,16,10,3,1,4,18,3,1,16,1,3,2,19,1,18,1,3,3,19,2,4,5,3,4,18,3,4,1,19,3,4,5,3,1,16,32,3,1,4,1,19,3,4,714,19,14,4,2,10,3,8,2,10,15,18,2,3,2,16,3,3,1,18,1,10,9,18,2,10,2,18,2,10,6,3,1,16,5,3,1,14,2,18,1,8,1,10,3,8,2,18,3,8,1,18,2,8,6,10,30,4,4,19,10,4,23,19,4,4,3,18,3,8,3,18,2,8,1,10,1,4,3,19,7,4,16,19,10,4,6,18,3,10,4,8,1,10,2,8,1,18,2,4,2,19,3,4,10,19,6,4,7,18,1,8,22,10,2,8,4,10,2,8,2,10,2,8,1,18,3,8,5,10,11,},
{4,158,19,11,4,7,10,1,8,6,10,32,8,3,10,13,8,8,10,1,8,1,10,8,8,4,10,5,8,4,10,24,8,1,10,12,8,2,10,14,8,5,10,2,8,6,10,6,8,5,10,4,8,3,10,2,8,4,10,2,8,6,10,5,8,3,10,8,8,2,18,8,4,34,19,11,4,6,19,4,4,4,19,2,4,8,19,3,4,2,18,1,8,15,10,5,8,43,18,3,8,4,18,2,8,17,18,2,15,2,18,2,8,4,18,1,8,20,15,10,8,23,15,4,8,4,10,1,8,10,15,1,14,3,18,1,8,2,18,1,15,4,8,8,10,2,8,1,15,3,8,3,15,6,8,9,15,2,18,2,10,1,4,2,19,6,4,14,19,9,4,2,18,15,4,2,19,4,4,1109,19,9,4,12,18,1,3,2,16,13,3,1,4,1,19,3,4,13,16,11,3,1,4,11,19,3,4,1,18,1,3,4,16,33,3,1,19,3,4,3,3,4,4,708,19,15,4,1,10,16,18,2,10,3,8,1,10,1,18,1,3,4,18,1,10,4,18,1,3,1,18,1,10,2,18,3,10,4,18,1,10,4,18,1,3,1,16,3,3,1,16,4,14,1,10,2,8,1,18,2,8,1,10,1,8,9,10,31,4,5,19,11,4,28,18,3,8,1,10,1,8,2,18,3,4,4,19,8,4,14,19,8,4,8,18,4,10,1,8,7,10,2,18,1,4,5,18,1,4,8,19,7,4,6,10,1,8,21,10,3,8,2,10,3,8,2,10,2,8,1,18,1,8,7,10,3,8,1,10,7,},
{4,21,19,5,4,132,19,9,4,3,18,5,10,3,8,5,10,48,8,3,18,2,8,2,10,2,8,1,10,17,8,4,10,6,8,2,10,14,8,5,10,11,8,1,10,16,8,5,18,1,15,2,18,1,8,3,10,2,8,8,10,4,8,17,10,4,8,4,10,8,8,8,18,2,4,4,18,3,4,1,18,1,4,25,19,6,4,4,19,2,4,4,19,6,4,2,19,4,4,6,19,4,4,2,18,1,8,14,10,6,8,11,10,1,8,31,18,1,8,6,18,2,8,17,18,2,15,1,18,2,8,11,18,2,8,9,15,2,8,4,15,9,8,41,18,1,15,1,14,2,15,1,18,1,8,1,18,1,15,4,8,8,9,1,10,1,8,1,15,3,8,3,15,6,8,4,15,2,8,4,15,1,18,2,10,1,4,2,19,5,4,14,19,8,4,3,18,8,8,1,9,1,10,1,9,2,18,2,4,3,19,4,4,1108,19,8,4,13,3,1,16,17,3,1,19,5,4,11,3,1,16,10,3,1,4,8,19,6,18,1,3,1,16,35,3,2,4,1,19,3,4,2,18,1,3,1,16,3,3,1,4,708,19,1,4,5,19,9,4,1,18,2,10,13,18,2,10,4,18,1,10,2,18,1,3,2,18,2,10,3,18,1,3,1,18,1,10,3,18,2,10,3,18,2,10,3,8,2,14,1,3,1,16,1,3,2,16,4,3,1,8,3,18,1,8,1,10,2,8,6,10,2,8,2,10,30,4,7,19,9,4,28,18,4,8,1,10,1,8,2,18,3,4,4,19,7,4,14,19,8,4,9,18,1,4,1,18,2,8,6,10,1,8,6,10,7,18,1,4,3,19,7,4,5,18,1,8,21,10,4,8,2,10,3,8,2,10,2,8,2,10,4,8,3,10,1,8,4,10,6,},
{4,20,19,6,4,129,19,9,4,4,18,4,8,5,10,1,8,4,10,10,8,2,10,15,8,2,10,20,8,2,18,4,8,1,10,2,8,2,10,16,8,4,10,6,8,2,10,13,8,8,10,9,8,2,10,9,8,3,10,5,8,1,18,1,14,5,18,1,8,2,10,2,8,3,18,1,8,2,10,1,8,1,10,4,8,2,18,1,8,2,14,1,18,1,8,2,18,1,7,1,8,5,10,7,8,1,10,12,8,5,18,3,10,4,9,4,10,2,4,33,19,3,4,1,19,8,4,3,19,3,4,6,19,4,4,1,18,3,8,12,10,7,8,7,18,2,8,12,10,3,8,6,10,1,8,11,18,2,8,26,18,2,8,13,18,2,8,7,18,1,15,3,8,6,15,8,8,31,10,1,8,2,18,1,15,1,18,1,8,4,18,1,15,3,18,2,8,17,15,1,8,4,15,4,8,5,15,3,8,4,18,3,10,1,4,21,19,5,4,4,18,2,9,2,8,1,18,4,8,1,9,2,18,4,4,3,19,5,4,1099,18,1,3,7,18,1,4,1,19,4,3,6,18,1,4,6,3,3,16,19,3,1,4,1,19,2,4,9,19,2,4,2,19,1,4,1,19,1,18,1,19,2,4,1,19,3,4,9,19,6,3,1,16,36,3,1,19,5,4,2,3,1,16,5,3,2,4,713,19,8,4,4,18,3,10,5,8,1,10,13,18,1,3,3,18,1,8,2,10,15,18,2,10,2,18,1,3,4,16,3,3,1,18,1,8,1,10,1,8,10,10,1,8,5,10,15,18,2,10,16,4,2,19,11,4,28,18,3,10,2,8,3,10,2,18,2,4,2,19,6,4,16,19,6,4,11,18,2,8,1,10,2,8,12,10,6,4,3,19,7,4,5,18,2,8,19,10,4,8,3,10,13,8,2,10,4,8,1,10,7,},
{4,20,19,6,4,128,19,9,4,3,18,4,8,1,10,2,8,3,10,3,8,3,10,10,8,3,10,14,8,1,10,21,8,4,18,1,8,2,10,2,8,6,10,12,8,4,10,2,8,2,10,2,8,2,10,14,8,2,18,1,8,4,10,10,8,3,10,5,8,7,10,3,8,1,14,3,3,3,14,1,15,1,8,5,18,2,8,5,10,3,8,2,18,1,8,1,18,1,14,2,8,3,18,1,8,3,10,25,8,3,18,2,10,7,8,3,10,1,4,33,19,10,4,5,19,3,4,6,19,2,4,2,18,3,8,10,10,8,8,7,18,3,8,12,10,3,8,17,18,3,8,35,18,2,8,14,15,3,8,7,15,7,8,32,9,1,8,1,18,3,8,5,18,1,15,1,18,3,8,21,15,4,8,6,15,3,8,4,18,3,10,1,4,21,19,1,4,1,19,1,4,5,18,2,9,2,10,1,9,1,18,1,15,1,18,1,8,1,9,3,18,4,4,2,19,6,4,1097,19,1,3,2,16,7,3,1,19,4,3,1,16,7,18,1,4,5,3,1,16,22,3,1,19,2,4,8,19,4,4,20,19,6,3,1,16,35,3,1,4,1,19,3,4,2,19,1,3,1,16,8,3,1,4,713,19,8,4,3,10,23,18,1,3,3,18,2,10,12,8,1,10,2,18,2,10,3,8,1,18,1,14,1,3,2,16,1,3,2,18,1,8,1,10,2,8,1,18,3,8,9,15,2,8,4,10,11,18,2,10,17,4,1,19,13,4,22,19,2,4,6,8,4,10,1,8,1,18,2,4,3,19,5,4,17,19,5,4,11,18,2,8,1,10,2,8,4,10,3,8,6,10,5,4,3,19,7,4,5,18,5,8,16,10,20,8,2,10,3,8,2,10,7,},
{4,20,19,6,4,128,19,6,4,5,18,3,8,4,10,21,8,2,10,27,8,1,10,5,8,2,10,5,8,3,10,1,8,1,18,3,8,2,10,13,8,3,10,4,8,1,10,1,8,14,10,3,8,1,15,3,18,1,8,2,10,1,8,1,10,9,18,1,8,1,10,2,8,1,18,1,14,1,3,3,16,3,3,1,18,1,8,2,18,1,14,1,3,1,14,2,3,4,14,1,18,1,15,1,14,2,18,1,8,1,10,2,8,2,18,2,8,7,15,1,18,1,8,8,10,4,8,3,10,19,8,3,10,8,8,3,4,32,19,5,4,13,19,4,4,7,18,2,8,6,10,2,8,3,10,5,8,3,18,2,8,6,18,2,8,4,18,1,8,4,10,6,8,18,18,1,8,36,18,2,8,14,18,1,15,1,8,12,15,2,8,38,18,8,8,1,18,1,15,1,14,1,15,1,8,15,15,7,8,16,18,1,4,28,18,2,8,6,15,1,18,1,8,3,9,1,10,2,4,1105,3,3,16,10,3,1,19,3,3,1,16,8,3,2,4,3,16,24,3,1,19,1,4,8,19,5,4,4,19,6,4,10,19,5,4,1,3,1,16,33,3,1,19,4,4,2,3,1,16,11,3,3,4,710,19,9,4,2,10,19,8,2,10,3,8,1,18,5,10,3,18,1,10,2,18,1,10,2,18,1,3,2,18,2,8,1,10,1,18,4,8,1,18,1,3,3,14,1,18,1,8,5,18,3,8,7,10,1,8,1,15,1,14,4,15,1,8,1,10,29,4,7,19,8,4,21,19,5,4,3,18,3,8,2,10,1,8,1,18,1,4,6,19,1,4,13,18,3,4,3,19,4,4,12,18,1,8,1,10,2,8,4,10,4,8,3,10,7,4,4,19,6,4,6,18,5,8,5,10,2,8,10,10,13,8,3,10,2,8,1,10,3,8,3,10,7,},
{4,21,19,4,4,129,19,6,4,2,18,2,10,5,8,3,10,19,8,7,10,29,8,4,10,6,8,1,10,1,8,2,18,2,8,2,10,7,8,2,10,3,8,3,10,2,8,2,15,1,14,4,15,2,8,7,18,1,15,1,8,2,10,2,15,1,14,2,15,2,8,3,18,2,8,3,15,1,14,7,3,3,16,7,3,1,14,1,8,1,18,2,14,5,3,3,14,1,15,1,18,1,15,1,14,1,15,1,8,1,10,1,8,1,15,1,14,3,18,1,8,1,10,1,8,9,10,2,8,10,10,19,8,2,10,9,8,3,18,1,4,32,19,3,4,6,18,3,8,1,10,3,4,1,19,4,4,4,18,4,8,4,15,1,8,2,10,2,8,3,10,4,8,1,18,5,8,7,18,3,8,2,18,1,8,3,10,6,8,8,18,3,8,45,18,2,8,3,10,3,8,2,18,3,8,7,10,1,8,9,15,2,8,4,15,1,8,5,15,4,8,18,18,2,8,5,18,7,8,1,18,1,14,2,15,2,8,7,15,4,8,4,15,6,8,10,15,1,8,5,18,1,4,22,18,6,8,4,15,2,8,5,18,1,14,1,3,1,18,2,4,1104,18,1,16,14,3,1,19,2,18,1,16,10,3,1,4,2,3,1,16,24,3,1,19,1,4,7,19,16,4,7,19,2,4,6,3,2,16,18,3,3,16,11,3,1,19,3,4,3,3,1,16,14,3,1,4,711,19,7,4,4,18,1,10,4,18,2,10,10,8,1,18,1,8,1,10,5,18,3,10,6,18,1,10,2,18,1,3,3,18,1,10,2,18,2,14,1,18,1,10,1,8,1,3,2,18,1,8,1,10,4,8,4,18,2,8,2,18,3,8,1,10,2,15,1,14,4,18,1,8,1,10,30,4,1,10,3,4,4,19,7,4,20,19,6,4,2,18,5,8,2,10,1,4,17,18,1,4,1,10,2,8,1,18,2,4,3,19,3,4,12,18,2,8,2,18,4,10,4,8,2,10,3,9,2,10,1,9,1,10,1,4,4,19,5,4,8,18,6,8,16,10,12,8,2,10,7,8,3,10,7,},
{4,154,19,4,4,4,10,6,8,4,10,16,8,2,18,2,8,6,10,30,8,5,10,2,8,1,10,5,8,1,10,9,8,3,10,1,8,7,15,1,3,1,16,5,14,2,15,1,8,2,15,2,8,2,18,1,15,1,8,2,10,1,8,1,15,1,14,2,15,1,8,3,14,1,3,2,14,3,16,5,3,2,16,10,3,1,18,5,8,2,15,2,8,1,18,1,14,3,8,3,15,1,14,1,8,2,14,1,3,2,14,2,8,2,10,3,8,8,10,3,8,6,10,5,8,3,10,12,8,3,10,3,8,4,10,2,8,3,9,4,10,8,4,22,19,1,4,3,18,4,8,7,4,1,19,4,4,3,18,5,8,3,15,3,8,7,10,2,8,2,18,5,8,7,18,2,8,8,10,12,8,2,18,1,8,56,18,3,8,4,15,1,8,12,15,1,8,5,15,1,8,4,15,11,8,12,15,2,14,1,15,2,18,1,8,1,9,1,10,1,9,1,8,1,18,3,8,1,18,1,15,6,8,7,15,3,8,4,15,4,8,5,15,8,8,4,18,4,4,3,10,1,4,10,10,1,18,8,8,1,10,2,8,2,15,1,14,3,15,1,8,3,18,1,3,4,18,1,4,1097,19,2,4,5,3,1,16,13,3,1,19,2,4,1,3,1,16,10,3,1,18,1,3,2,16,24,3,1,4,7,19,16,4,6,3,2,16,2,3,7,16,19,3,4,16,10,3,1,19,1,4,1,19,2,4,1,3,1,16,14,3,1,19,1,4,711,19,7,4,8,18,2,10,11,18,2,10,5,8,1,10,4,18,3,10,5,8,1,18,3,10,3,18,1,3,2,18,2,14,2,18,1,10,8,8,5,18,3,8,1,10,1,8,1,18,1,14,1,15,1,8,4,10,36,4,2,19,8,4,19,19,6,4,5,18,3,8,1,10,2,18,8,10,13,8,1,18,1,4,4,19,1,4,14,18,11,8,2,10,2,18,1,4,26,18,3,8,7,10,3,8,6,10,17,8,1,10,3,8,2,10,5,8,2,},
{4,154,19,3,4,2,18,1,4,1,10,6,8,4,10,17,8,2,18,2,8,3,10,34,8,1,10,8,8,1,10,13,8,2,10,1,8,7,14,1,16,4,3,2,14,1,15,1,8,13,14,1,3,2,14,7,15,2,14,1,16,4,3,3,16,4,3,1,16,4,3,1,8,1,10,1,8,2,18,1,8,4,18,1,8,2,15,1,14,2,8,1,10,2,8,1,18,2,14,2,3,1,14,2,8,1,10,1,8,1,10,3,8,4,18,3,8,2,10,1,8,3,18,1,8,3,10,4,8,4,10,10,8,4,10,4,8,4,10,1,8,6,10,3,8,3,10,6,4,24,18,2,8,1,10,2,8,5,18,1,4,2,19,2,4,4,18,4,8,4,15,3,8,11,18,4,8,8,18,1,8,10,10,12,8,9,18,2,8,47,18,3,8,13,15,4,8,5,15,3,8,2,15,3,14,2,15,8,8,13,15,4,8,4,18,6,15,8,8,5,15,3,8,12,15,8,8,7,9,1,10,5,8,1,18,1,4,7,18,4,14,2,18,2,8,4,10,1,8,3,15,2,14,4,15,1,14,1,3,4,18,1,4,1093,19,5,4,5,3,1,16,14,3,1,19,2,4,1,3,1,16,11,3,3,16,24,3,1,19,1,4,10,19,12,4,6,3,3,16,7,3,1,16,20,3,1,18,1,3,1,16,12,19,4,4,1,3,1,16,14,3,1,4,711,19,10,4,6,10,8,18,2,10,3,8,1,10,10,18,1,3,2,18,1,10,3,9,1,10,2,18,2,10,3,18,1,3,2,18,2,14,2,8,1,10,7,8,6,18,1,15,1,18,1,8,3,18,2,8,2,10,40,4,1,19,10,4,17,19,9,4,3,18,8,10,1,18,8,10,11,4,6,19,4,4,19,18,3,4,25,19,3,4,2,18,3,8,6,10,2,8,7,10,3,8,1,10,14,8,2,10,8,8,2,},
{4,160,10,6,8,5,10,52,8,1,10,13,8,3,10,16,8,5,18,1,14,4,8,1,10,5,8,4,10,2,8,5,14,1,16,6,3,1,14,1,18,1,8,1,10,2,8,1,18,1,14,2,18,1,8,1,18,1,14,1,3,2,14,1,18,2,14,1,3,2,14,1,8,1,10,3,8,7,18,3,15,1,14,1,18,1,8,2,10,1,8,1,14,3,18,2,8,1,10,6,8,4,18,1,15,1,18,1,8,15,10,21,8,4,10,1,8,2,10,1,18,1,10,7,8,1,10,1,8,4,10,1,4,5,18,1,4,18,10,6,8,4,18,1,4,8,18,1,8,14,10,1,8,1,10,1,8,6,18,1,8,20,10,4,8,1,10,1,8,1,10,5,8,8,18,4,8,5,18,2,8,55,15,4,8,4,15,13,8,1,15,5,8,10,10,4,8,1,18,1,15,1,14,2,3,2,14,2,18,4,8,3,15,6,8,6,15,2,8,12,15,3,8,7,10,13,4,5,18,2,15,2,14,3,15,1,8,9,10,1,8,2,14,1,16,3,3,2,18,2,4,1095,19,4,4,2,18,1,3,3,16,15,3,1,19,2,4,1,18,1,16,12,3,2,16,24,3,1,4,10,3,8,19,3,4,12,3,1,16,26,3,2,18,1,3,1,16,11,3,1,19,3,4,2,3,1,16,12,3,1,19,1,4,711,19,12,4,4,10,7,18,3,10,14,18,4,10,2,18,2,10,3,18,1,8,1,18,3,8,2,10,1,18,1,14,1,3,1,18,1,10,6,8,1,18,2,8,3,18,1,14,2,18,2,8,1,18,3,8,1,10,41,4,3,19,9,4,22,19,5,4,1,18,8,10,3,8,1,18,2,8,3,10,13,4,4,19,6,4,9,19,4,4,5,18,2,4,24,19,5,4,1,18,5,8,12,10,19,8,3,10,8,8,1,},
{4,155,18,2,4,3,10,1,8,4,10,1,8,3,10,53,8,3,10,13,8,1,10,18,8,5,18,2,8,1,10,9,8,1,10,3,8,5,14,1,3,1,16,5,3,1,8,1,10,11,8,1,18,1,8,1,10,2,8,1,18,1,8,2,10,2,8,3,10,2,8,2,18,7,14,2,8,1,10,3,18,1,14,2,8,2,10,4,8,7,18,8,8,10,10,7,8,3,10,11,8,3,10,3,18,1,10,3,8,1,18,3,10,9,4,2,18,13,4,2,18,1,4,6,10,5,8,5,10,8,18,1,10,1,8,13,10,3,8,25,10,5,8,19,18,5,8,1,18,9,8,1,18,1,8,42,15,2,8,3,15,5,8,3,15,13,8,5,15,1,8,11,9,1,10,4,8,1,15,1,14,1,3,1,16,2,3,2,15,1,18,3,8,6,15,6,8,4,15,4,8,18,9,1,10,15,18,4,8,2,15,1,7,1,14,2,7,1,8,8,10,3,8,1,16,4,3,1,18,2,4,1097,19,3,4,1,3,2,16,18,3,1,19,1,4,2,3,1,16,37,3,1,4,10,3,1,16,8,3,1,19,1,4,9,19,4,4,1,3,2,16,25,3,3,16,12,3,1,19,2,4,1,19,1,3,1,16,12,3,1,4,714,19,10,4,7,10,4,18,1,3,2,18,1,10,15,18,1,8,1,10,2,18,3,10,2,8,2,18,2,8,1,10,4,18,2,8,1,10,6,8,1,18,3,8,1,18,2,14,1,18,2,8,2,18,3,8,2,10,7,8,3,10,31,4,3,19,8,4,22,19,5,4,3,18,6,10,3,8,5,10,6,8,1,10,4,8,1,10,2,4,4,19,6,4,8,19,6,4,25,10,1,18,1,4,3,19,5,4,2,18,4,8,12,10,20,8,3,10,8,},
{4,154,18,4,10,2,8,5,10,1,8,1,10,56,8,2,18,1,10,36,8,3,10,4,8,4,10,2,8,9,15,2,8,1,15,1,14,2,8,1,10,5,8,4,10,2,8,3,10,3,8,1,18,1,8,1,10,2,8,1,15,1,14,1,18,1,10,3,8,1,14,2,15,1,8,3,15,1,14,2,8,1,10,3,8,1,18,1,14,1,18,1,8,1,10,4,8,1,15,1,14,1,18,1,8,5,18,6,8,5,18,2,8,3,10,5,8,7,10,4,8,9,10,5,8,1,18,5,8,1,10,6,18,6,8,5,18,2,8,2,10,12,8,8,10,7,8,9,10,4,8,3,10,3,8,2,18,1,8,4,18,3,8,15,10,4,8,20,18,8,8,35,18,3,8,13,15,10,8,4,15,4,8,3,15,4,8,20,9,2,10,2,18,1,14,1,16,4,3,1,14,1,18,1,8,3,15,1,8,6,15,5,8,3,15,4,8,22,10,11,8,2,18,1,8,5,7,1,15,1,7,1,15,1,8,7,10,3,8,1,14,1,16,3,3,1,14,1,8,1,10,1,4,1097,18,2,3,2,16,19,3,1,4,3,3,1,16,38,3,1,4,10,3,1,16,9,3,6,4,4,19,4,4,3,19,1,3,1,16,25,3,2,16,6,3,1,16,4,3,1,19,2,4,1,3,1,16,13,3,1,19,4,4,2,18,1,3,3,4,706,19,9,4,9,10,1,18,1,3,1,16,1,3,2,10,4,18,1,8,1,10,13,18,2,10,4,8,1,18,1,8,1,10,5,8,1,10,8,18,7,8,1,10,2,8,4,18,2,8,2,10,4,8,2,18,2,8,2,10,31,4,2,19,8,4,21,19,6,4,7,18,1,10,4,8,4,10,9,8,5,10,1,4,2,19,7,4,9,19,5,4,13,19,5,4,4,18,1,10,2,9,1,4,4,19,5,4,4,18,3,8,11,10,12,8,3,10,5,8,3,18,1,8,1,10,6,},
{4,153,18,5,10,2,8,4,10,59,8,6,10,35,8,1,10,4,8,3,10,5,8,5,10,2,8,1,10,11,8,4,10,2,8,2,10,4,8,2,10,3,8,1,14,2,18,1,10,3,8,1,14,2,18,1,8,1,10,1,8,1,18,1,14,1,18,1,10,5,8,1,18,1,15,1,8,1,10,4,8,1,14,2,18,1,8,6,18,4,8,3,10,1,8,8,10,2,8,11,10,1,8,10,10,4,18,10,8,1,18,2,8,1,18,5,8,11,10,10,8,10,10,1,8,13,10,5,8,4,10,1,8,2,18,3,8,4,18,2,8,15,10,1,8,24,18,7,8,13,10,2,8,20,18,3,8,4,10,1,8,8,15,8,8,13,15,3,8,18,18,4,8,1,9,1,10,1,8,1,14,1,16,5,3,1,15,1,18,1,8,1,15,3,8,5,15,5,8,4,15,1,8,26,10,5,8,14,15,1,8,7,10,2,8,2,15,1,14,1,3,1,16,1,3,1,14,1,18,1,9,2,4,1096,3,1,16,21,3,2,4,3,3,1,16,39,3,1,4,10,3,1,16,15,3,1,4,4,19,6,4,2,3,1,16,37,3,1,19,2,3,1,16,14,3,1,19,3,4,1,19,1,3,2,16,3,3,1,18,1,4,704,19,16,4,2,10,1,18,1,3,1,16,2,3,1,10,4,8,1,10,13,18,3,10,3,8,4,10,15,8,2,18,5,8,3,18,1,14,3,3,2,14,1,8,1,10,4,8,7,10,30,4,1,19,10,4,19,19,9,4,5,10,4,8,3,10,9,8,3,18,3,8,1,10,1,4,1,19,7,4,8,19,6,4,12,19,6,4,4,18,1,10,2,8,1,4,4,19,6,4,3,18,3,8,1,10,1,8,9,10,12,18,3,8,1,10,5,8,2,18,2,8,1,10,5,},
{4,138,19,3,4,12,18,1,8,9,10,65,8,7,10,22,8,1,10,26,8,3,10,5,8,1,10,6,8,3,10,1,8,5,10,4,8,1,18,1,8,3,10,3,8,1,18,3,10,2,8,1,18,2,8,1,10,5,8,1,18,2,8,1,10,5,8,1,18,1,8,1,10,5,8,10,10,2,8,33,18,1,14,2,18,9,8,15,10,2,8,1,10,9,8,2,18,1,8,2,10,2,8,18,10,6,8,2,10,2,8,1,18,2,15,1,18,1,8,4,18,3,8,20,10,2,8,17,18,7,8,13,10,2,8,20,18,2,8,3,10,2,8,9,18,1,15,6,8,3,15,1,8,12,15,1,8,11,15,2,8,5,15,2,18,2,8,2,9,1,18,1,14,1,16,6,3,1,15,1,18,1,14,2,15,2,8,5,15,4,8,51,15,1,18,1,8,4,10,1,8,3,15,1,14,4,15,1,8,1,9,2,18,2,4,1095,3,1,16,20,3,1,4,4,3,1,16,40,3,1,4,9,19,1,3,1,16,16,3,4,19,6,4,3,3,1,16,33,3,6,16,15,3,1,19,2,4,1,19,1,3,1,16,7,3,2,4,704,19,13,4,3,10,2,18,1,3,2,18,1,10,1,18,1,10,16,18,2,10,3,18,3,8,1,18,3,10,14,8,1,18,2,14,1,3,2,14,1,3,7,16,1,3,1,14,1,8,1,10,6,8,2,18,2,8,1,10,29,4,1,19,12,4,19,19,9,4,3,18,1,10,3,8,4,10,2,8,2,10,4,8,3,18,3,8,1,10,1,4,6,19,2,4,3,19,3,4,1,19,3,4,16,19,6,4,4,10,4,18,1,4,4,19,5,4,4,18,3,8,5,10,2,8,3,10,12,8,1,18,3,8,2,10,4,8,1,18,2,8,1,10,5,},
{4,138,19,6,4,4,18,4,10,3,8,6,10,68,8,5,10,50,8,3,10,18,8,1,18,1,8,1,10,3,8,1,18,2,10,6,8,10,10,2,8,2,10,1,8,1,18,2,8,1,10,5,8,5,10,3,8,2,10,4,8,4,10,3,8,3,18,2,8,5,10,2,8,4,18,2,8,13,18,9,8,3,18,2,8,5,10,1,8,7,10,3,8,5,10,5,8,4,10,4,8,2,18,1,8,14,10,10,8,2,15,2,18,1,8,4,18,3,8,19,10,8,8,11,18,6,8,37,18,1,8,3,10,3,8,3,18,2,15,1,18,2,8,1,15,2,14,3,15,1,8,4,15,1,8,17,15,1,8,6,15,2,8,5,15,2,18,4,8,1,18,1,14,1,3,1,16,5,3,1,14,1,15,1,14,3,15,2,8,59,18,1,8,8,15,4,8,4,9,1,18,3,4,1094,18,1,16,20,3,1,18,1,4,3,3,1,16,41,3,1,4,10,3,1,16,20,3,1,19,5,4,3,18,1,3,3,16,30,3,1,18,1,3,1,16,17,3,1,4,1,19,2,4,1,3,1,16,10,3,1,4,705,19,11,4,4,10,2,18,3,10,18,18,2,10,2,8,1,18,8,8,1,10,13,8,1,18,2,3,5,16,7,3,1,18,1,8,1,10,6,8,2,18,1,8,2,10,28,4,4,19,10,4,18,19,10,4,3,10,3,8,10,10,2,8,4,18,1,8,2,10,1,18,1,4,1,18,1,10,2,4,5,19,8,4,16,19,6,4,4,10,5,4,5,19,4,4,4,18,3,8,5,10,2,8,3,10,7,8,1,10,5,8,5,10,5,8,3,10,5,},
{4,135,19,9,4,1,18,5,10,2,8,6,10,35,8,3,10,60,8,1,10,20,8,8,10,9,8,4,10,8,8,2,10,4,18,2,10,3,8,1,18,2,8,2,10,2,8,1,18,1,8,2,10,2,8,10,10,4,8,2,18,2,8,4,10,6,8,4,10,3,8,16,18,2,8,32,10,2,8,7,10,2,8,6,10,13,8,4,10,1,8,4,10,3,8,3,10,11,8,2,18,3,8,5,18,1,8,20,10,8,8,9,18,7,8,47,18,2,15,7,14,3,15,1,8,22,15,2,8,5,15,2,8,5,18,1,15,1,18,5,8,1,18,1,15,1,3,4,14,1,15,3,14,3,15,2,8,67,15,1,8,6,18,1,15,1,18,4,4,2,19,4,4,1087,3,2,16,19,3,1,4,2,18,1,3,2,16,43,3,1,18,1,4,8,3,1,16,22,3,2,4,8,19,1,3,1,16,29,3,2,16,17,3,1,18,1,4,1,19,2,4,1,3,1,16,11,3,2,4,705,19,11,4,3,10,2,18,3,8,1,10,16,18,1,10,1,18,1,10,2,18,1,3,1,14,1,18,1,8,1,10,1,8,1,18,4,10,2,18,1,10,2,8,1,10,7,8,1,18,1,3,5,16,6,3,1,18,2,8,1,18,1,8,2,10,4,8,1,10,2,8,3,10,28,4,2,19,10,4,17,19,11,4,3,10,2,8,14,10,2,8,4,18,3,10,2,9,1,18,2,4,2,19,8,4,16,19,6,4,2,18,2,8,3,10,2,4,13,10,1,18,3,8,4,10,2,8,3,10,7,8,2,10,8,8,1,10,5,8,8,},
{4,134,19,9,4,1,18,3,8,2,10,4,8,3,10,36,8,4,10,9,8,2,10,34,8,1,10,14,8,2,10,19,8,7,10,4,8,2,10,4,8,1,18,1,8,2,10,15,8,1,10,4,18,2,8,1,10,3,8,3,10,4,8,9,10,3,8,3,18,2,8,1,10,1,8,1,10,5,8,59,10,4,8,13,10,12,8,4,10,2,8,10,10,11,8,3,18,2,8,5,18,1,8,5,10,2,8,15,10,3,8,12,18,6,8,47,18,2,14,3,15,5,14,3,15,1,8,22,15,2,8,5,15,2,8,5,18,12,8,3,18,1,15,1,14,2,15,4,8,4,10,2,8,25,10,1,8,9,15,1,8,16,18,1,8,15,18,1,14,2,18,2,4,3,19,4,4,1085,18,1,3,1,16,20,3,1,18,1,4,1,18,1,3,1,16,46,3,1,4,8,18,1,3,1,16,23,3,2,4,5,19,2,4,1,3,1,16,45,3,3,4,5,3,1,16,13,3,1,4,704,19,12,4,2,10,3,18,4,10,16,18,2,10,2,18,4,8,1,10,2,18,1,3,1,14,1,18,1,10,2,18,1,10,1,18,1,3,2,18,1,10,6,18,2,14,1,3,1,18,1,3,1,16,3,3,1,16,1,3,2,14,1,18,2,14,2,18,1,8,1,10,6,8,3,10,29,4,1,19,12,4,15,19,11,4,3,18,1,8,15,10,3,8,1,10,1,8,1,18,3,8,1,10,5,4,2,19,7,4,17,19,5,4,2,18,6,4,14,10,2,18,3,8,1,18,1,8,1,10,2,8,3,10,6,8,1,18,1,8,1,10,15,8,3,18,4,},
{4,134,19,6,4,4,18,1,8,5,10,43,8,1,10,47,8,2,10,13,8,1,10,31,8,3,10,17,8,2,10,6,8,2,10,4,8,2,10,2,8,2,10,4,8,1,18,1,8,1,10,3,8,1,10,3,8,6,10,7,8,4,10,2,8,45,10,2,8,8,10,3,8,17,10,6,8,5,10,2,8,11,10,9,8,25,10,5,8,21,18,5,8,35,10,2,8,9,18,2,15,1,14,3,15,5,14,2,15,2,8,22,7,2,8,11,18,3,8,3,18,1,15,1,14,4,18,1,8,1,9,1,8,1,15,1,14,3,15,4,8,4,9,1,8,35,7,3,8,13,18,7,8,2,9,2,8,2,18,1,15,1,18,2,8,1,18,2,3,2,18,1,4,2,19,6,4,1082,3,3,16,20,3,2,18,1,3,2,16,47,3,1,4,10,3,1,16,24,3,2,4,3,19,4,3,1,16,26,3,2,16,14,3,2,18,1,4,7,18,1,3,1,16,12,3,1,4,705,19,11,4,2,10,4,18,3,10,2,18,1,10,2,18,2,10,10,18,2,10,2,8,1,18,1,8,1,10,3,8,1,18,2,8,1,10,4,3,4,10,6,8,1,18,3,9,1,18,1,3,1,16,1,3,5,18,2,14,1,3,2,14,1,8,1,10,6,8,2,10,30,4,3,19,11,4,15,19,12,4,1,18,1,8,8,10,1,8,6,10,3,8,1,10,2,8,4,10,2,8,3,18,1,4,2,19,6,4,12,18,2,4,6,19,2,4,6,18,2,4,14,10,2,8,1,18,4,8,1,10,2,8,3,10,4,8,3,18,1,8,1,10,17,8,2,18,3,},
{4,134,19,5,4,3,18,2,8,2,10,39,8,1,10,49,8,1,10,25,8,3,10,6,8,1,10,18,8,3,10,16,8,2,10,7,8,2,10,3,8,2,10,3,8,2,10,3,8,2,10,9,8,3,10,9,8,4,10,2,8,7,10,3,8,20,15,3,8,10,10,6,8,6,10,2,8,11,10,4,8,4,10,3,8,6,10,3,8,11,9,1,10,8,8,25,10,5,8,61,10,2,8,7,18,3,15,1,14,2,15,11,8,6,15,2,8,12,15,2,8,10,15,4,18,2,8,2,18,2,15,1,14,4,15,1,18,3,14,1,3,1,14,1,15,3,8,32,9,1,8,4,15,2,8,3,7,4,8,10,18,10,8,1,9,1,8,2,18,3,15,1,18,7,4,2,19,6,4,1081,3,2,16,22,3,1,4,1,18,1,16,49,3,1,4,11,3,5,16,21,3,2,4,2,19,3,4,1,3,1,16,25,3,3,16,13,3,2,18,1,4,3,19,1,4,4,3,1,16,9,3,4,4,706,19,10,4,2,10,2,18,1,10,2,18,2,10,2,18,1,10,2,18,2,10,11,18,2,10,2,8,3,10,2,8,3,10,1,8,1,10,3,18,1,3,3,8,1,10,5,8,1,18,3,10,1,9,1,3,3,18,1,3,2,14,1,8,2,18,1,14,1,3,1,14,1,18,1,8,1,10,1,8,2,10,2,8,2,10,31,4,3,19,10,4,16,19,11,4,1,18,2,8,12,18,2,10,2,8,2,10,3,8,8,18,2,4,3,19,3,4,10,18,7,10,3,4,26,9,1,10,1,8,1,18,4,10,2,8,3,10,4,8,1,10,2,8,2,10,12,8,2,10,5,8,2,18,1,},
{4,134,19,3,4,3,18,4,8,2,10,39,8,2,10,28,8,2,10,7,8,1,10,8,8,4,10,13,8,2,10,9,8,2,10,14,8,1,10,5,8,1,10,6,8,3,10,7,8,4,10,12,8,1,10,10,8,4,10,1,8,2,10,10,8,2,10,10,8,10,18,1,8,2,10,2,8,11,18,1,8,8,15,2,8,10,10,7,8,9,18,2,8,4,10,1,8,3,10,5,8,8,18,1,8,2,10,4,8,9,18,1,8,1,10,9,8,25,10,5,8,34,18,4,8,22,10,2,8,6,18,4,15,4,18,3,15,5,8,4,15,1,8,15,15,5,8,9,15,2,14,3,15,1,18,1,14,2,15,2,18,5,15,1,14,1,3,1,14,3,15,3,8,7,15,4,8,8,15,1,8,11,10,4,8,2,15,3,8,5,7,2,8,10,9,1,18,8,9,1,18,6,8,2,18,6,4,3,19,6,4,1080,3,2,16,22,3,1,18,1,4,2,16,48,3,1,19,1,4,15,18,1,3,1,16,22,3,1,4,1,19,3,4,2,3,1,16,26,3,3,16,12,3,2,18,1,3,2,16,1,3,2,4,2,3,1,16,8,3,1,4,26,3,3,4,683,19,8,4,23,10,5,18,1,10,2,8,1,18,4,10,4,18,2,10,3,8,1,18,3,10,5,18,1,3,2,18,1,10,1,9,1,3,2,9,1,10,2,9,1,18,2,8,2,18,1,14,1,18,1,8,2,18,3,8,1,10,1,8,1,18,1,8,1,10,32,4,2,19,9,4,22,19,5,4,2,18,2,8,10,10,1,8,2,10,1,8,1,18,2,8,1,10,2,8,10,18,1,4,13,18,4,8,4,10,3,18,1,8,1,10,1,18,1,4,1,18,1,4,21,18,1,4,1,18,5,10,2,8,3,10,2,8,1,10,5,8,4,10,7,8,4,10,7,8,1,},
{4,64,19,5,4,48,19,8,4,14,18,4,8,3,10,38,8,2,10,6,8,2,10,38,8,5,10,14,8,2,10,23,8,4,10,2,8,2,10,7,8,4,10,6,8,4,10,5,8,3,10,2,18,3,10,10,8,4,10,11,8,1,18,2,10,6,8,1,10,6,8,3,10,1,8,3,18,2,8,13,18,3,8,8,15,1,8,10,10,8,8,6,18,2,8,5,10,4,8,3,10,3,8,7,18,1,8,2,10,4,8,4,10,1,8,6,9,1,10,9,8,26,10,4,8,34,18,3,8,5,18,1,8,23,18,10,8,3,15,4,8,21,15,3,14,1,15,1,8,3,15,1,8,5,15,1,14,9,15,1,18,5,14,1,3,4,14,1,18,1,15,2,8,6,15,6,8,19,10,3,8,12,15,1,8,11,18,7,9,1,8,1,18,1,15,1,14,1,15,1,18,1,8,3,18,4,4,5,19,6,4,1080,3,1,16,23,3,1,4,3,3,1,16,47,18,1,4,1,19,2,4,15,3,3,16,20,3,1,4,3,19,3,3,1,16,25,3,3,16,13,3,2,16,4,3,1,4,2,3,1,16,8,3,1,4,25,19,1,3,1,16,1,3,4,4,680,19,5,4,1,19,1,4,25,10,4,18,1,10,2,8,2,18,3,8,1,10,3,18,2,10,5,18,3,10,5,18,1,3,2,18,2,3,2,18,1,10,4,8,1,10,2,8,1,18,1,8,4,18,8,10,3,8,4,10,25,4,1,19,9,4,23,19,4,4,3,18,1,10,3,8,4,18,1,8,3,18,6,8,1,10,4,8,6,10,3,18,1,4,11,10,1,18,3,8,3,10,3,8,2,18,1,8,1,10,4,4,26,18,2,8,5,10,9,8,1,18,1,8,2,10,6,8,1,18,1,8,3,10,7,},
{4,63,19,9,4,44,19,9,4,11,10,2,8,7,10,6,8,3,10,77,8,2,10,48,8,4,10,9,8,2,10,6,8,2,18,1,8,6,18,3,4,7,18,1,8,1,10,13,8,1,10,5,8,1,18,4,4,7,10,5,8,23,18,2,8,8,18,4,8,9,10,6,8,7,18,1,8,2,10,1,8,2,10,4,8,4,10,3,8,3,18,1,15,2,8,2,10,5,8,8,18,1,8,2,10,8,9,1,8,1,18,1,8,26,10,3,8,29,10,2,8,11,18,1,8,13,10,1,8,9,18,3,15,1,8,11,15,3,8,18,15,7,8,3,15,1,8,5,15,1,14,8,15,4,14,9,15,1,8,2,15,4,8,3,15,4,8,19,10,1,8,12,15,1,8,2,15,5,8,5,18,10,8,1,15,5,8,3,15,1,14,1,18,1,4,6,19,5,4,1081,18,1,3,1,16,22,3,1,18,1,4,2,3,1,16,46,3,1,19,4,4,3,18,3,4,9,19,3,3,1,16,20,3,1,18,1,4,1,19,4,3,1,16,40,3,1,16,5,3,1,18,1,4,1,3,2,16,4,3,5,4,25,3,1,16,5,3,2,4,679,19,4,4,15,19,7,4,5,10,10,18,3,9,1,10,8,8,1,18,3,8,1,10,6,18,1,3,2,16,1,3,2,18,1,10,5,8,3,18,1,8,2,10,3,14,2,18,2,14,2,8,1,10,2,8,1,18,2,8,2,10,24,4,5,19,6,4,23,19,3,4,5,10,3,8,3,18,11,8,1,10,3,8,6,10,4,18,2,4,8,10,2,8,1,18,3,8,8,10,5,4,18,19,5,4,4,18,4,8,2,10,3,8,4,10,2,8,1,18,3,8,1,10,4,8,8,10,5,},
{4,63,19,9,4,44,19,10,4,4,18,1,10,1,18,2,8,3,10,1,8,2,10,2,8,3,10,5,8,4,10,6,8,1,10,21,8,1,10,31,8,3,10,13,8,2,10,22,8,2,10,25,8,3,10,4,8,1,10,6,8,1,18,2,10,4,18,2,10,9,4,9,18,1,10,19,18,4,4,12,18,1,10,4,8,20,18,1,8,8,18,6,8,2,18,2,8,16,18,1,8,2,10,1,8,2,10,4,8,5,10,2,8,3,18,1,15,2,8,2,10,5,8,10,10,8,8,2,18,2,8,26,10,3,8,20,18,1,8,8,10,4,8,4,10,1,8,3,18,2,8,3,10,4,8,6,10,2,8,9,18,1,8,15,15,1,8,18,15,7,8,2,15,2,8,5,15,1,14,7,15,4,14,9,15,2,8,3,15,3,8,23,10,3,8,18,15,3,8,6,15,3,8,3,18,3,15,5,8,3,15,3,18,1,4,7,19,2,4,1083,18,1,3,1,16,23,18,1,4,2,3,1,16,45,3,1,19,5,4,2,18,1,3,1,16,2,3,2,19,1,4,5,19,4,3,1,16,21,3,2,19,4,4,1,3,1,16,42,3,2,16,1,3,2,18,1,4,1,3,2,16,3,3,3,16,2,3,1,4,24,18,1,3,2,16,4,3,1,4,698,19,7,4,6,10,10,9,1,18,3,10,7,8,1,18,4,8,1,10,2,18,2,10,2,18,1,3,7,8,1,10,2,8,2,18,2,8,2,10,3,18,1,14,1,18,2,14,2,8,1,10,1,8,3,18,1,8,6,10,3,8,2,10,17,4,4,19,6,4,22,19,4,4,4,10,7,18,5,8,2,18,3,8,1,10,2,8,7,10,4,8,3,10,3,4,3,18,1,10,3,8,1,18,3,8,6,10,2,8,2,18,2,4,18,19,6,4,4,18,3,8,1,10,2,8,6,10,2,8,1,18,4,8,2,10,4,8,9,10,2,},
{4,63,19,9,4,44,19,10,4,4,10,2,18,3,8,5,10,2,8,4,10,35,8,1,10,33,8,2,10,11,8,4,10,22,8,2,10,24,8,4,10,4,8,1,10,7,4,8,10,8,4,6,19,2,4,5,18,1,8,2,10,11,4,21,10,5,8,1,10,1,8,15,18,6,8,7,18,1,8,5,18,1,8,11,10,2,8,3,18,2,8,4,10,5,8,10,18,2,8,2,10,4,8,2,10,5,8,3,10,8,8,2,18,3,8,19,10,4,8,3,10,8,8,6,18,1,8,19,10,5,8,4,18,2,8,2,10,6,8,5,10,5,8,33,15,3,8,6,15,11,8,5,15,1,14,3,15,7,14,4,15,4,14,1,15,2,8,22,10,1,8,8,10,1,8,35,18,2,15,5,8,6,18,2,4,1090,18,1,3,3,16,22,3,1,18,1,3,1,16,45,3,1,18,1,4,1,19,4,4,1,18,1,3,1,16,5,3,3,4,3,19,4,3,1,16,23,3,1,18,1,4,1,19,3,3,1,16,41,3,6,4,2,18,1,3,1,16,8,3,1,18,1,3,2,18,1,4,22,18,1,3,1,16,1,3,2,4,698,19,11,4,7,18,1,10,6,9,2,10,8,8,1,18,2,8,2,18,1,8,1,10,7,3,1,16,5,18,1,10,2,18,1,14,1,18,1,8,1,10,5,8,1,18,1,14,2,18,1,8,1,10,1,8,6,10,2,8,2,10,2,8,2,10,20,4,2,19,7,4,21,19,6,4,2,10,2,18,2,10,5,8,1,10,5,8,12,10,5,8,2,10,6,18,2,9,1,10,2,8,1,18,2,8,8,18,3,10,5,4,14,19,6,4,4,18,2,8,1,10,4,8,11,18,1,8,2,10,5,8,1,18,1,8,8,},
{4,63,19,9,4,15,19,5,4,24,19,10,4,4,10,1,8,2,18,2,8,6,10,3,8,2,10,57,8,2,10,22,8,3,10,13,8,4,10,9,8,2,10,21,8,6,10,11,4,22,19,2,4,6,18,3,10,9,4,6,19,1,4,7,19,5,4,3,10,7,8,16,18,4,8,26,10,4,8,2,18,2,8,3,10,5,8,14,10,3,8,3,10,16,8,23,10,8,8,13,18,3,8,19,10,5,8,3,18,2,8,2,10,5,8,9,10,2,8,33,15,4,8,5,15,11,8,4,15,2,14,2,15,2,8,3,15,2,14,3,15,9,8,21,10,4,8,11,15,3,8,28,18,2,15,4,8,7,18,4,4,1087,3,3,16,23,3,2,18,1,3,1,16,44,3,1,18,1,4,2,19,3,4,2,3,1,16,9,3,1,18,1,4,2,19,3,3,1,16,25,18,1,4,1,19,2,4,1,3,2,16,39,3,4,16,1,3,1,4,3,18,1,3,2,16,7,3,1,16,2,3,2,4,22,18,1,3,1,18,1,4,699,19,16,4,2,10,18,8,4,18,1,8,1,10,4,18,3,10,1,3,1,16,4,3,1,8,1,10,1,18,1,14,1,18,1,8,4,10,3,8,1,18,2,8,2,10,1,8,6,10,5,8,3,10,20,4,3,19,7,4,20,19,7,4,2,10,1,18,5,10,10,8,10,10,5,8,2,10,2,18,2,10,3,18,2,10,3,8,4,10,2,8,7,10,5,4,14,19,6,4,4,10,9,8,3,18,2,8,1,10,2,8,4,10,5,18,2,8,8,},
{4,63,19,9,4,14,19,6,4,20,19,10,4,6,18,2,10,2,8,6,10,65,8,2,10,22,8,1,10,11,8,4,18,1,8,3,10,9,8,2,10,21,8,6,10,10,18,1,4,5,19,4,4,14,19,4,4,7,18,1,10,5,4,6,19,8,4,2,19,6,4,2,10,7,8,47,10,2,8,7,10,6,8,2,18,1,8,11,10,2,8,10,10,11,9,1,8,25,10,3,8,13,18,4,8,80,15,1,14,1,15,2,8,4,15,12,8,3,15,2,14,3,15,2,8,2,15,2,14,3,15,2,8,4,15,8,8,18,10,1,8,11,15,7,8,25,18,3,15,2,8,9,18,2,3,1,18,1,4,1087,3,1,16,24,3,1,4,4,3,1,16,42,3,1,18,1,4,7,3,1,16,11,3,1,4,1,19,4,3,1,16,26,3,1,18,1,4,1,19,1,4,1,18,1,3,1,16,40,3,2,16,1,3,3,4,2,18,1,3,2,16,11,3,2,4,4,18,2,4,2,18,1,3,2,4,17,3,5,4,689,19,17,4,1,10,24,8,2,10,2,18,2,4,3,18,1,3,1,16,2,3,1,18,1,10,1,8,1,18,3,8,2,10,5,8,12,10,27,4,3,19,7,4,20,19,6,4,4,10,1,18,4,10,2,8,1,10,5,8,1,10,2,8,9,10,6,8,1,10,1,8,1,18,3,10,3,18,2,10,3,8,3,10,1,8,4,10,8,18,1,4,14,19,6,4,4,10,4,8,2,10,4,8,2,18,2,8,1,10,3,8,1,18,1,8,2,10,4,18,2,8,8,},
{4,64,19,7,4,15,19,6,4,20,19,9,4,7,10,1,8,1,10,4,8,3,10,4,8,1,10,61,8,2,10,22,8,1,10,10,8,1,18,1,14,3,18,2,8,2,10,33,8,4,10,8,8,1,18,2,4,5,19,6,4,13,19,5,4,15,19,11,4,2,19,6,4,3,10,2,8,34,18,2,8,23,10,7,8,2,18,1,8,11,10,2,8,9,10,15,8,25,10,1,8,41,10,2,8,47,15,2,8,5,15,5,8,3,15,16,14,4,15,4,14,4,15,2,8,3,15,1,8,4,18,1,15,4,8,5,15,1,8,23,15,8,8,20,15,4,18,5,8,6,15,3,18,2,3,2,18,1,4,1086,18,1,3,1,16,24,3,1,4,4,3,1,16,41,3,1,18,1,4,7,18,1,3,1,16,12,3,1,4,1,19,3,3,1,16,28,3,1,19,2,4,1,18,1,3,1,16,45,3,1,18,1,3,3,16,13,3,2,19,1,3,3,4,2,3,1,16,2,3,2,4,15,3,2,16,2,3,2,4,689,19,16,4,2,10,2,4,1,10,1,4,2,10,15,18,1,10,1,8,1,18,1,10,3,18,1,4,5,3,3,18,1,10,3,8,1,18,2,8,1,10,7,8,4,18,4,8,3,10,26,4,3,19,7,4,20,19,7,4,4,10,3,18,1,10,1,8,2,10,4,8,2,10,3,8,4,10,1,8,2,10,9,8,1,18,4,8,1,10,2,18,2,10,4,8,6,10,8,4,25,18,1,10,3,8,3,10,4,8,2,18,1,8,1,10,3,8,4,10,3,8,2,18,1,8,8,},
{4,83,19,5,4,18,19,3,4,3,19,8,4,2,18,6,10,2,8,1,10,3,8,3,10,3,8,2,10,19,8,2,10,27,8,2,10,11,8,2,10,20,8,4,10,3,8,2,10,4,8,1,18,1,3,3,18,2,8,1,10,46,18,1,4,7,19,6,4,13,19,5,4,14,19,12,4,2,19,5,4,5,18,3,8,28,18,5,14,1,18,1,8,18,10,2,8,2,10,8,8,13,10,3,8,7,10,17,8,54,10,6,8,6,10,3,8,19,10,1,8,26,15,3,8,4,15,4,8,4,15,15,14,3,15,2,14,7,15,1,8,4,15,3,8,3,18,1,15,3,8,30,15,2,8,12,15,2,8,10,18,2,15,4,18,5,8,5,15,5,18,1,3,2,18,1,4,1085,3,2,16,25,3,1,4,3,3,1,16,41,3,1,18,1,4,2,19,3,4,2,3,2,16,13,3,1,4,1,19,3,4,1,3,1,16,27,3,1,4,4,18,1,16,46,3,5,16,2,3,1,16,10,3,3,16,1,3,4,16,4,3,1,4,15,18,1,3,6,4,692,19,11,4,12,10,19,4,7,18,2,8,1,10,3,18,2,8,1,10,8,8,1,18,1,8,1,18,6,8,2,10,9,8,2,10,16,4,3,19,5,4,22,19,5,4,4,18,1,10,4,8,1,18,1,8,1,10,3,8,2,10,4,8,3,10,11,8,3,18,4,10,3,18,2,10,3,8,2,18,3,8,1,10,4,18,1,4,5,19,1,4,22,18,2,10,2,8,3,10,5,8,3,10,2,8,19,},
{4,82,19,5,4,17,19,6,4,2,19,6,4,4,18,5,8,1,10,2,8,2,10,2,8,3,10,3,8,3,10,5,8,2,10,11,8,3,10,16,8,2,10,8,8,2,10,21,8,3,10,9,8,3,10,4,8,1,18,1,8,2,10,1,8,1,18,1,3,4,18,1,8,1,10,47,4,8,19,6,4,15,19,3,4,14,19,12,4,2,19,6,4,4,18,2,8,28,18,4,14,4,18,1,8,17,10,2,8,2,10,3,8,3,10,6,8,9,10,3,8,3,10,22,8,2,10,5,8,22,10,1,8,9,10,1,8,14,10,5,8,5,10,4,8,9,18,1,8,9,10,1,8,33,15,5,8,2,15,8,8,4,15,3,14,2,15,5,14,5,15,2,8,3,15,1,14,4,15,5,8,13,15,2,8,8,15,2,8,6,15,2,8,11,15,4,8,10,18,1,15,4,18,5,8,5,15,3,18,3,3,2,18,1,4,1084,19,1,3,1,16,26,3,1,4,2,18,1,16,42,3,1,4,2,19,4,4,1,3,1,16,16,3,1,4,1,19,2,4,1,18,1,16,28,3,1,4,3,18,1,3,2,16,47,3,2,16,19,3,1,16,6,3,1,4,15,18,2,4,2,3,2,19,1,4,691,19,11,4,3,19,6,4,4,10,18,4,8,18,1,10,4,8,2,10,3,8,1,10,2,18,1,10,3,8,2,18,7,8,2,10,9,8,2,10,15,4,4,19,4,4,22,19,6,4,4,10,4,8,4,10,1,8,4,10,3,8,2,10,13,8,1,10,1,8,1,18,3,8,1,10,8,8,7,10,2,18,1,4,4,19,5,4,19,18,2,10,2,8,1,18,1,8,1,10,8,8,17,10,4,},
{4,80,19,7,4,17,19,12,4,6,10,3,8,3,10,2,8,2,10,2,8,3,10,3,8,2,10,5,8,2,10,9,8,1,10,2,8,1,10,17,8,3,10,9,8,1,10,21,8,3,10,15,8,1,18,1,14,1,18,4,3,4,14,1,8,1,10,44,8,3,10,1,4,46,19,11,4,3,19,8,4,2,18,2,10,3,8,25,18,5,14,3,18,3,8,15,10,2,8,3,10,1,8,4,10,11,8,5,10,1,8,3,10,31,8,52,10,7,8,4,10,2,8,3,18,3,8,8,10,1,8,15,15,1,8,16,15,11,8,9,15,10,14,4,15,6,14,2,3,2,14,4,15,2,8,13,15,2,8,8,15,1,8,8,15,1,8,11,15,4,8,13,15,1,18,6,8,4,15,4,8,2,18,1,3,2,18,1,4,1085,16,27,3,1,4,2,3,1,16,41,3,1,18,1,4,1,19,5,18,1,16,17,3,1,18,1,4,1,19,1,4,1,19,1,3,1,16,28,3,3,18,1,4,3,3,1,16,73,3,2,18,1,4,5,3,3,4,9,3,6,4,688,19,20,4,4,10,18,4,8,10,9,18,1,8,1,10,8,8,2,18,6,8,4,10,7,8,3,10,13,4,30,19,7,4,4,10,5,8,6,18,1,8,6,10,5,8,1,10,6,8,3,18,2,8,1,10,13,8,1,18,3,10,2,4,4,19,6,4,6,19,4,4,1,19,2,4,2,18,1,4,1,10,2,18,1,10,2,8,1,18,2,8,2,10,6,8,3,10,2,8,2,18,3,8,6,10,5,},
{4,80,19,6,4,6,10,2,18,1,4,9,19,11,4,6,10,4,8,3,10,2,8,2,10,2,8,2,10,4,8,2,10,5,8,2,10,9,8,1,10,20,8,2,10,31,8,2,10,17,18,1,14,1,3,1,14,1,18,3,3,2,14,1,18,1,8,1,10,27,8,3,10,14,8,3,10,2,4,47,19,2,4,12,19,7,4,2,18,2,10,4,8,7,10,2,8,20,18,7,8,14,10,2,8,8,10,12,8,8,10,15,8,4,10,12,8,52,10,6,8,5,10,2,8,2,18,2,15,1,18,2,8,17,15,1,8,1,15,5,8,16,15,11,8,11,15,9,14,1,15,2,8,1,15,5,14,2,3,4,14,3,15,1,8,5,15,1,8,6,15,3,8,29,15,3,8,16,18,5,8,3,15,4,8,3,18,3,4,1086,3,1,16,26,3,1,4,1,18,1,3,1,16,41,3,1,4,1,19,6,3,1,16,18,3,1,4,1,19,3,3,1,16,31,3,1,4,3,18,1,3,2,16,73,3,1,4,5,3,4,4,9,18,1,3,2,16,1,3,1,4,692,19,16,4,5,10,16,4,9,10,2,9,2,10,4,8,1,18,1,10,11,8,1,18,6,8,3,10,8,8,2,10,14,4,30,19,7,4,4,18,1,8,1,10,2,8,3,10,2,8,1,18,2,8,5,10,4,8,4,10,4,8,6,10,11,8,1,10,2,18,2,10,3,4,4,19,6,4,6,19,8,4,1,18,2,10,3,18,1,10,2,8,1,18,2,8,3,10,4,8,2,10,4,8,6,10,9,},
{4,80,19,6,4,4,18,1,10,3,4,10,19,8,4,5,18,2,10,1,18,1,8,1,10,12,8,1,10,5,8,2,10,67,8,4,10,17,8,1,18,1,14,2,18,1,8,1,10,1,8,1,18,2,8,2,10,12,8,6,10,10,8,3,10,13,8,3,10,2,4,63,19,7,4,1,18,1,10,5,8,7,10,2,8,51,10,12,8,8,10,13,8,3,18,1,8,2,10,12,8,28,18,5,8,33,18,2,15,1,14,2,18,3,8,12,18,3,15,4,8,1,15,2,8,16,15,12,8,11,15,10,8,2,15,4,8,2,15,1,14,6,15,1,14,2,15,7,8,5,15,2,8,30,15,2,8,16,18,4,8,4,15,4,8,3,18,3,4,2,19,2,4,1083,3,2,16,24,3,3,16,42,3,1,4,1,19,4,4,2,3,1,16,19,18,1,4,1,19,2,3,1,16,32,3,5,4,2,3,1,16,70,3,1,18,1,4,6,18,1,3,1,16,1,3,4,4,7,19,1,3,3,4,697,19,13,4,21,19,1,4,5,10,3,18,1,10,2,18,1,10,2,9,1,10,13,8,1,18,5,8,3,10,27,4,2,19,5,4,22,19,6,4,1,18,3,8,5,10,3,8,1,18,1,8,5,10,4,8,5,10,3,8,5,10,3,8,4,10,12,18,1,4,4,19,20,4,2,18,2,10,2,18,1,8,1,10,2,8,1,18,2,8,4,10,9,8,5,10,7,8,2,},
{4,80,19,6,4,4,10,3,8,1,18,2,4,8,19,8,4,4,18,1,8,1,10,2,8,2,10,12,8,2,10,3,8,4,10,67,8,3,10,17,8,1,18,1,14,2,18,1,8,1,10,16,8,2,18,2,8,5,10,8,8,4,10,13,8,1,10,3,18,1,4,63,19,7,4,2,10,5,8,25,10,7,8,14,10,1,8,8,10,6,8,9,10,2,8,8,10,12,8,8,10,11,8,18,18,2,8,10,18,2,8,9,10,1,8,19,18,1,8,4,18,8,8,12,18,1,15,5,8,24,15,9,8,11,15,8,8,3,15,1,14,1,15,2,8,3,15,1,14,5,15,1,14,7,15,3,8,4,15,3,8,11,15,5,8,3,15,3,8,25,18,4,8,4,15,3,8,2,18,4,4,2,19,3,4,1083,3,2,16,24,3,3,16,41,3,1,4,2,19,4,4,1,3,1,16,20,3,1,4,1,19,2,18,1,16,36,3,1,4,2,18,1,3,1,16,69,3,2,4,7,18,1,3,1,16,4,3,1,19,1,4,8,18,1,3,1,19,1,4,695,19,22,4,10,19,3,4,5,10,7,18,1,10,18,8,7,10,27,4,1,19,5,4,22,19,6,4,2,18,2,8,2,18,2,8,1,10,4,8,1,10,3,8,3,10,2,8,6,10,3,8,12,10,6,8,1,10,5,18,1,4,4,19,20,4,2,18,3,10,2,8,1,10,2,8,1,18,3,8,5,10,10,8,3,10,5,8,3,},
{4,80,19,6,4,4,10,2,8,2,18,2,4,10,19,4,4,4,18,3,8,1,10,14,8,12,10,15,8,2,10,50,8,2,10,17,8,1,18,3,8,2,10,14,8,3,18,3,8,5,10,8,8,4,10,16,8,1,4,64,19,7,4,1,18,1,8,3,10,2,8,14,10,1,8,2,18,2,8,7,10,4,8,1,10,6,8,18,10,5,8,2,18,1,8,17,10,11,8,9,10,9,8,1,10,1,8,40,10,8,8,5,18,3,8,5,18,3,8,21,18,1,15,5,8,26,15,9,8,11,15,2,14,3,15,3,14,6,15,4,14,11,15,7,8,4,15,24,8,23,15,2,18,2,8,5,15,5,18,3,4,2,19,4,4,1080,3,3,16,25,3,4,16,41,3,1,19,6,18,1,3,1,16,21,3,1,4,1,19,1,4,1,3,1,16,36,3,1,4,3,3,1,16,35,3,1,16,8,3,1,16,19,3,1,16,4,3,7,18,1,4,2,3,1,16,6,3,1,4,7,19,1,3,2,4,694,19,28,4,4,19,3,4,5,10,7,18,1,10,14,18,1,10,4,8,1,10,4,8,4,10,24,4,2,19,4,4,22,19,7,4,1,10,3,8,1,18,2,10,9,8,4,10,2,8,5,10,6,8,9,10,12,18,1,4,4,19,2,4,2,19,15,4,3,18,2,8,1,10,2,8,1,10,2,8,9,10,11,8,2,10,4,8,4,},
{4,80,19,6,4,5,10,3,18,2,4,11,19,1,4,5,18,1,10,1,8,3,10,14,8,6,18,3,8,3,10,14,8,4,10,5,8,3,10,42,8,2,10,16,8,6,10,13,8,2,18,3,8,6,10,10,8,1,10,19,4,64,19,5,4,3,18,1,8,3,10,2,8,13,10,3,8,1,18,1,8,7,10,3,8,4,10,7,8,9,10,1,8,8,10,3,8,1,18,2,8,18,10,1,8,2,10,6,8,4,10,2,8,5,10,4,8,6,10,1,8,43,10,5,8,12,18,2,8,10,18,2,8,10,18,1,15,6,8,24,15,4,14,1,15,5,8,3,15,5,8,4,15,2,14,3,15,1,14,3,15,5,14,9,15,10,14,1,15,11,14,4,15,4,14,1,15,7,8,16,15,11,18,2,8,3,15,7,18,3,4,2,19,4,4,1080,3,2,16,26,3,3,16,42,3,1,4,1,19,4,4,1,3,1,16,22,3,1,4,1,19,1,4,2,3,1,16,36,3,1,4,2,3,1,16,33,3,3,16,8,3,2,16,17,3,6,16,7,3,1,4,2,18,1,3,2,16,4,3,1,4,8,3,3,4,697,19,24,4,4,19,4,4,4,10,3,18,1,10,3,18,2,10,1,18,1,10,6,18,2,10,2,18,3,10,8,8,4,10,24,4,2,19,4,4,23,19,6,4,2,10,1,4,1,18,4,10,6,18,1,10,1,8,4,10,2,8,5,10,6,8,9,10,3,8,2,10,8,4,8,19,14,4,4,18,1,8,2,10,6,8,11,10,8,8,1,10,4,8,5,},
{4,80,19,6,4,8,18,1,4,4,19,3,4,7,18,4,10,3,8,2,10,15,8,1,10,3,8,1,18,2,8,3,10,9,8,2,10,5,8,3,10,2,8,1,10,2,8,3,10,33,8,2,10,3,8,2,10,2,8,2,10,16,8,6,10,13,8,1,18,1,14,2,18,1,8,1,10,1,8,3,10,6,8,1,10,23,4,5,19,2,4,25,19,4,4,36,18,1,8,4,10,4,8,6,10,1,8,4,10,3,8,6,10,7,8,4,10,6,8,9,10,2,8,8,10,1,8,5,10,2,8,28,10,2,8,6,10,2,8,7,10,4,8,18,18,5,8,20,10,2,8,11,18,2,8,10,18,2,15,1,18,2,8,8,18,1,15,11,8,19,15,3,14,2,15,4,8,4,15,6,8,4,15,1,14,6,15,1,8,1,10,2,8,1,15,1,14,4,15,2,18,1,8,3,15,8,14,6,15,6,14,11,15,6,8,6,15,2,8,7,15,11,18,2,8,3,15,2,14,3,15,1,8,2,18,2,4,3,19,4,4,1082,18,1,3,2,16,67,3,1,4,7,3,1,16,22,3,1,19,3,4,1,18,1,16,37,3,3,16,33,3,2,16,10,3,1,16,18,3,3,18,2,3,4,16,5,3,1,18,1,4,15,19,1,3,5,4,21,19,1,3,1,16,2,3,2,4,669,19,30,4,4,10,2,18,2,10,2,18,2,10,1,9,1,18,1,10,6,18,2,10,2,18,4,10,8,8,3,10,24,4,2,19,7,4,38,10,2,8,1,10,2,8,3,10,2,8,5,10,6,8,14,10,5,8,1,10,5,4,7,19,6,4,9,18,2,10,3,8,5,10,2,8,10,10,12,8,5,},
{4,80,19,6,4,13,19,3,4,6,18,4,10,5,8,1,10,2,8,2,10,11,8,8,10,6,8,2,10,4,8,1,10,5,8,3,10,3,8,5,10,33,8,1,10,4,8,2,10,25,8,1,10,14,8,1,18,2,8,1,10,3,8,1,10,21,8,2,10,7,4,5,19,3,4,16,19,5,4,3,19,8,4,32,18,2,8,1,10,1,8,2,10,4,8,7,10,1,8,2,10,5,8,1,10,11,8,34,10,3,8,28,10,3,8,5,10,2,8,9,10,1,8,18,18,2,15,3,18,2,8,19,10,1,8,24,18,2,15,1,18,2,8,8,18,1,15,12,8,18,15,9,8,4,15,3,14,1,15,2,8,4,15,2,14,4,15,1,8,1,10,3,9,1,15,1,14,3,15,1,8,7,15,6,14,7,15,2,8,1,15,2,14,8,15,9,8,7,15,4,8,5,15,11,18,1,8,4,15,2,14,2,15,4,18,2,4,3,19,4,4,1081,18,1,3,3,16,67,3,1,4,7,3,1,16,22,3,1,19,3,4,1,3,1,16,44,3,3,16,35,3,1,16,1,3,3,16,17,3,2,18,2,3,5,16,6,19,1,4,16,19,1,3,1,16,3,3,1,18,1,4,20,3,1,16,4,3,1,18,1,4,667,19,29,4,5,10,2,18,2,10,5,9,1,18,2,10,5,18,2,10,2,18,4,10,35,4,2,19,8,4,26,19,3,4,9,10,4,8,4,10,2,8,4,10,2,8,1,10,3,8,5,10,1,8,15,10,5,4,7,19,1,4,12,18,1,8,1,10,4,8,1,18,2,8,1,10,4,8,3,10,1,8,7,10,2,8,2,10,6,8,5,},
{4,80,19,6,4,3,19,4,4,4,19,5,4,6,18,1,10,8,8,9,10,1,8,3,10,3,8,1,18,2,3,1,18,1,8,1,10,7,8,5,10,6,8,2,10,4,8,1,14,2,18,1,8,1,10,26,8,2,10,27,8,5,10,41,8,2,10,7,8,3,10,6,4,5,19,4,4,14,19,7,4,3,19,8,4,32,18,1,8,1,10,2,8,14,10,5,8,1,10,13,8,25,10,5,8,35,10,2,8,6,10,5,8,35,18,1,8,13,10,3,8,35,18,1,15,8,8,7,15,4,8,3,15,5,8,9,15,8,8,2,15,5,8,3,15,2,14,4,15,1,8,1,10,4,8,1,15,1,14,3,15,1,18,1,8,3,15,5,14,11,15,1,8,2,15,2,14,3,15,7,8,4,15,2,8,8,15,4,8,5,15,9,8,6,15,3,8,2,15,4,18,2,4,2,19,5,4,1079,3,2,16,72,3,1,4,7,3,1,16,22,3,4,16,45,3,1,4,2,3,1,16,35,3,1,18,1,4,2,3,1,16,16,3,4,16,10,3,1,4,19,3,1,16,3,3,4,4,3,3,2,4,15,3,1,16,3,3,2,4,669,19,12,4,4,19,8,4,6,10,9,18,3,10,6,18,4,10,38,4,2,19,8,4,26,19,6,4,2,19,1,4,3,10,3,18,1,8,5,10,1,8,8,10,2,8,7,10,4,8,11,10,4,4,20,10,13,8,3,10,4,8,10,10,6,8,4,},
{4,81,19,4,4,3,19,6,4,2,19,5,4,6,18,1,10,9,8,13,10,4,18,5,10,7,8,5,10,6,8,1,10,5,8,1,3,2,18,1,10,4,8,1,10,13,8,3,10,6,8,1,10,11,8,2,10,4,8,16,10,31,8,3,10,5,8,4,10,7,8,3,10,6,4,4,19,5,4,14,19,7,4,3,19,8,4,31,18,1,8,2,10,2,8,7,10,4,8,3,10,5,8,3,10,12,8,23,10,5,8,44,10,6,8,34,18,1,8,4,18,1,8,8,10,3,8,10,10,4,8,3,10,1,8,17,18,2,15,6,8,7,15,5,8,3,15,8,8,7,15,9,14,4,15,2,8,1,15,3,14,2,15,2,8,2,10,2,8,2,15,3,14,1,15,3,8,2,15,5,14,12,15,1,8,2,15,1,14,4,15,3,14,2,15,2,8,2,9,1,8,1,15,2,8,4,15,2,8,2,15,4,8,6,15,7,8,6,18,1,15,2,8,4,15,3,18,2,4,2,19,5,4,1079,3,1,16,12,3,1,16,54,3,1,16,5,3,1,4,6,18,1,3,1,16,71,3,1,4,2,3,1,16,35,3,1,4,3,3,1,16,16,3,3,16,11,3,1,4,19,3,1,16,5,3,3,4,1,19,1,3,1,16,1,3,1,4,15,3,1,16,4,3,1,4,674,19,6,4,4,19,7,4,16,18,3,10,7,18,10,10,31,4,2,19,8,4,26,19,10,4,3,18,3,8,4,10,4,8,16,10,4,8,11,10,4,4,6,18,1,4,1,18,1,4,2,18,3,4,3,10,14,8,5,10,4,8,8,10,9,8,2,},
{4,88,19,11,4,8,10,11,8,8,10,8,18,3,4,8,18,1,8,3,10,14,8,1,14,2,8,1,10,4,8,2,10,26,18,1,10,6,18,2,8,1,10,5,8,4,18,2,8,3,10,15,8,2,10,16,8,12,10,19,4,3,19,6,4,15,19,6,4,3,19,8,4,26,18,6,8,9,10,16,8,6,10,7,8,19,10,7,8,39,10,5,8,2,10,5,8,22,15,4,18,1,8,22,10,2,8,11,10,2,8,26,18,3,15,1,8,1,15,12,8,5,15,6,8,8,15,7,14,7,15,8,8,5,15,8,8,3,15,2,14,13,15,2,8,2,15,1,14,10,15,2,8,3,15,2,8,4,15,2,8,2,15,9,8,2,15,7,8,3,18,1,8,1,15,1,14,2,15,1,8,3,15,2,18,3,4,2,19,5,4,1079,3,1,16,10,3,4,16,59,3,1,4,5,18,1,3,1,16,74,3,1,16,35,3,1,18,1,4,1,18,1,3,2,16,10,3,2,18,1,3,3,16,15,3,1,4,17,18,1,3,1,16,5,3,2,18,2,3,1,16,4,3,5,4,2,19,5,4,3,3,1,16,3,3,1,4,694,19,5,4,17,10,2,18,2,10,1,18,3,9,1,18,2,10,30,4,3,19,8,4,26,19,11,4,4,18,1,8,3,10,5,8,18,10,3,8,11,10,6,18,1,10,3,8,1,10,2,18,4,10,7,8,1,10,1,8,3,10,3,8,8,10,2,8,5,10,1,8,3,10,4,8,1,10,6,},
{4,88,19,11,4,7,10,15,8,1,10,10,4,14,10,18,18,1,8,1,10,32,18,2,10,6,18,2,8,1,10,4,8,9,10,16,8,2,10,14,8,13,10,19,4,4,19,6,4,16,19,4,4,5,19,1,4,3,19,3,4,25,18,4,10,3,8,7,10,18,8,8,10,11,8,12,10,7,8,40,10,4,8,4,10,2,8,21,15,8,8,21,10,3,8,4,10,1,8,3,10,4,8,32,15,4,14,1,15,7,8,7,15,6,8,6,15,6,14,8,15,26,14,2,15,5,14,5,15,2,8,2,15,2,14,11,15,2,8,2,15,2,8,3,15,7,8,2,15,4,8,5,15,4,8,3,18,2,8,1,15,1,14,2,15,2,8,2,15,2,8,1,18,2,4,2,19,5,4,1079,18,1,3,5,16,5,3,4,16,59,3,1,4,5,3,1,16,111,3,4,16,12,3,2,18,1,3,2,16,16,3,1,18,1,4,17,3,3,16,2,3,2,4,2,18,1,3,3,16,7,3,1,19,6,4,4,3,4,4,694,19,12,4,10,10,5,18,6,10,29,4,4,19,8,4,26,19,13,4,3,18,3,10,9,8,6,10,4,8,4,10,4,8,11,10,2,8,4,10,6,8,2,18,2,8,1,10,6,8,21,10,9,8,2,10,6,},
{4,88,19,14,4,4,18,1,10,23,8,1,18,1,4,2,19,11,4,1,10,18,8,2,10,1,8,2,10,21,8,3,10,4,18,2,10,8,8,3,10,2,8,1,18,2,8,1,10,8,8,1,18,1,8,2,10,25,8,10,10,23,4,40,19,6,4,22,18,1,10,6,8,4,10,21,8,7,10,14,8,10,10,7,8,40,10,2,8,12,15,2,18,1,8,13,18,2,8,19,10,2,8,6,10,2,8,20,18,1,8,25,15,3,14,2,15,6,8,8,15,7,8,4,15,6,14,6,15,9,14,1,15,8,8,2,15,4,14,3,15,10,14,2,15,4,8,1,15,8,14,5,15,6,8,2,15,8,8,2,15,3,8,17,15,1,14,1,15,6,8,1,18,2,4,2,19,5,4,1085,18,1,3,1,16,2,3,4,16,60,3,1,4,5,19,1,16,148,3,3,18,1,4,17,18,1,16,2,3,1,4,4,3,2,19,1,4,2,18,1,3,1,16,3,3,2,4,1,19,4,4,702,19,18,4,4,10,7,18,1,4,6,10,26,4,1,19,11,4,30,19,10,4,5,18,1,10,9,8,4,10,5,8,4,10,4,8,18,10,5,8,6,10,7,8,18,10,18,},
{4,96,19,9,4,2,18,2,10,20,18,2,4,2,19,12,4,2,10,1,18,1,10,3,8,2,10,12,8,3,10,17,8,4,10,1,8,2,10,4,18,1,10,11,8,1,10,1,8,2,18,2,8,1,10,7,8,1,14,1,3,1,18,1,8,1,10,25,8,9,10,7,8,2,10,12,18,1,10,1,18,1,4,31,10,2,18,1,4,6,19,6,4,23,10,7,8,3,10,13,8,4,10,5,8,5,10,6,8,2,10,8,8,11,10,6,8,40,10,1,8,11,15,5,8,12,18,1,8,19,10,3,8,5,10,3,8,47,15,13,8,5,15,15,14,3,15,13,14,3,15,6,8,4,15,3,14,2,15,7,8,1,15,14,8,4,15,2,14,3,15,11,8,2,15,3,8,22,15,8,8,1,18,2,4,2,19,5,4,1085,18,1,3,1,16,1,3,4,16,61,3,1,19,1,4,1,19,3,4,1,3,1,16,150,3,2,18,1,4,16,3,2,4,11,3,7,19,4,4,703,19,17,4,6,18,1,10,4,4,8,10,1,4,1,10,22,4,2,19,10,4,34,19,7,4,6,18,1,10,8,8,5,10,4,8,4,10,4,8,18,10,6,8,7,10,6,8,8,10,2,8,7,10,8,8,2,10,6,8,2,},
{4,96,19,9,4,9,10,14,4,4,19,13,4,3,18,1,10,3,8,2,10,13,8,1,10,8,8,2,10,7,8,5,10,2,8,2,10,7,8,2,10,9,8,1,18,2,8,1,10,4,8,2,10,1,8,1,3,2,14,1,8,1,10,26,8,7,10,7,8,4,10,4,8,2,10,2,8,2,18,2,4,27,19,3,4,3,10,4,18,3,4,3,19,5,4,30,18,2,10,14,8,5,10,6,8,2,10,6,8,5,10,6,8,7,18,2,8,2,10,6,8,52,15,2,14,1,15,3,8,31,10,3,8,5,10,2,8,49,15,4,8,4,15,6,8,3,15,14,14,4,15,6,14,2,15,5,14,3,15,6,8,6,15,9,8,3,15,9,14,1,15,3,8,5,15,1,14,3,15,10,8,3,15,3,8,23,15,6,8,2,18,2,4,3,19,4,4,1078,3,1,16,1,3,4,16,4,3,5,16,61,3,1,4,1,19,3,4,1,3,1,16,79,3,2,16,32,3,2,16,37,3,4,18,1,4,5,19,1,4,2,19,2,4,7,18,2,4,2,19,2,4,1,3,3,4,3,3,3,4,706,19,17,4,15,19,2,4,9,10,15,4,4,19,5,4,42,19,8,4,6,10,4,18,2,8,6,10,1,8,6,10,1,8,21,10,5,8,7,10,7,8,5,10,5,8,6,10,3,8,2,10,2,8,4,10,4,8,3,},
{4,96,19,12,4,21,19,16,4,3,10,4,8,2,10,31,8,4,10,11,8,2,18,2,8,4,10,5,8,1,18,1,8,1,10,4,8,4,18,1,3,1,18,1,8,1,10,39,8,2,18,1,8,1,10,4,8,5,18,2,4,28,19,5,4,2,10,5,18,2,4,3,19,5,4,32,10,1,8,1,10,5,8,1,10,6,8,2,18,2,8,1,10,13,8,9,10,3,8,7,18,2,8,2,10,5,8,53,15,2,14,1,15,3,8,31,10,2,8,65,15,2,14,3,15,19,14,3,15,4,14,6,15,3,14,4,15,5,8,9,15,6,8,4,15,5,8,1,15,2,14,2,15,2,8,5,15,14,8,4,15,2,8,24,15,5,8,2,18,3,4,3,19,2,4,1079,3,1,16,2,3,3,16,4,3,6,16,60,3,1,4,1,19,4,3,1,16,79,3,2,16,32,3,2,16,41,3,1,18,1,4,3,19,6,4,7,18,1,4,2,19,4,3,1,16,1,3,1,4,3,3,4,19,1,4,30,19,4,4,670,19,17,4,2,19,4,4,6,19,10,4,4,18,2,10,12,4,5,19,5,4,42,19,8,4,10,18,3,10,1,18,2,8,32,10,5,8,6,10,9,8,2,10,7,8,5,10,2,8,4,10,1,8,4,10,5,8,2,},
{4,100,19,11,4,17,19,11,4,9,10,21,18,2,10,15,8,1,10,13,8,3,18,5,8,1,10,5,8,2,10,3,8,4,10,1,8,1,10,10,8,3,10,22,8,2,18,9,10,4,18,6,4,29,19,5,4,3,10,4,8,1,18,1,4,4,19,4,4,22,19,6,4,4,18,3,8,1,10,10,8,6,10,11,8,10,10,3,8,7,18,2,8,1,10,5,8,2,15,2,18,1,8,3,10,1,8,45,15,5,8,28,10,1,8,71,15,1,14,4,15,14,8,2,15,2,14,4,15,2,14,7,15,3,14,4,15,7,8,7,15,6,8,4,15,2,8,5,15,1,14,1,15,4,8,3,15,5,8,1,15,2,14,1,15,3,14,1,15,2,8,4,15,2,8,10,15,3,8,11,15,4,8,3,18,4,4,1084,18,1,4,5,18,1,3,1,16,4,3,4,16,58,3,1,19,1,4,1,19,2,4,1,18,1,3,1,16,157,3,2,4,2,19,6,4,2,3,2,4,4,19,6,3,4,18,2,3,1,16,3,3,6,4,24,19,5,4,671,19,16,4,2,19,6,4,4,19,11,4,4,18,2,10,11,4,4,19,4,4,46,19,6,4,2,19,5,4,7,18,4,8,31,10,4,8,5,10,11,8,3,10,6,8,4,10,2,8,4,10,1,8,4,10,7,},
{4,101,19,10,4,7,19,16,4,14,18,1,10,13,4,10,10,1,4,6,10,16,8,4,10,2,8,2,18,1,14,1,3,2,14,1,18,1,8,1,10,9,8,3,10,13,8,2,10,23,18,7,4,3,10,1,4,1,10,3,4,1,18,4,4,30,19,6,4,3,10,3,8,1,18,1,4,4,19,4,4,22,19,6,4,5,18,3,8,1,10,1,8,2,10,7,8,8,10,8,8,10,10,3,8,10,10,5,8,1,18,1,15,1,14,1,15,1,8,3,10,1,8,21,10,4,8,20,15,4,8,29,10,1,8,71,15,2,14,3,15,13,8,4,15,2,14,2,15,4,14,6,15,3,14,3,15,3,8,1,15,6,8,4,18,1,15,5,8,4,15,3,8,5,15,9,8,1,15,4,8,1,15,1,14,2,15,2,14,2,15,2,8,4,15,2,8,10,15,5,8,4,15,1,8,4,15,5,8,1,18,5,4,1091,3,1,16,5,3,1,18,1,3,3,16,56,3,1,19,1,4,1,19,2,4,1,3,1,16,160,3,1,4,2,19,4,4,3,18,1,3,1,18,2,3,1,19,6,4,1,18,1,3,2,16,1,3,4,16,8,3,2,18,1,4,21,19,5,4,679,19,8,4,2,19,23,4,3,18,1,8,1,10,9,4,4,19,5,4,48,19,3,4,3,19,6,4,9,18,2,10,1,18,2,8,28,10,4,8,4,10,3,8,3,10,4,8,7,10,3,8,4,10,2,8,3,10,2,8,4,10,7,},
{4,104,19,8,4,6,19,14,4,12,19,4,4,2,10,9,4,23,10,14,8,2,10,4,8,1,18,1,14,3,18,2,8,1,10,10,8,1,10,39,18,1,4,12,18,1,4,36,19,6,4,4,8,1,18,1,8,1,10,1,4,2,19,6,4,22,19,6,4,7,10,2,8,3,10,7,8,8,10,9,8,9,10,4,8,9,10,4,8,4,18,1,8,27,10,3,8,20,15,3,8,17,18,2,8,43,18,6,8,35,15,17,8,5,15,15,14,4,15,1,8,4,15,2,14,2,15,2,8,2,15,6,8,5,15,3,8,5,15,7,8,5,15,2,8,1,15,1,14,2,15,2,14,2,15,1,18,1,8,4,15,7,8,6,15,6,8,2,15,1,8,5,15,6,18,3,4,1084,3,1,18,1,4,4,18,1,3,2,16,4,3,5,18,1,3,1,16,56,3,1,4,1,19,2,4,1,18,1,16,161,3,2,18,1,4,8,3,2,16,1,3,2,18,2,3,11,16,11,3,2,4,2,19,2,4,16,19,4,4,689,19,23,4,3,18,3,8,1,10,6,4,4,19,6,4,54,19,6,4,2,19,4,4,7,18,2,8,28,10,3,8,4,10,2,8,4,10,6,8,2,10,1,8,2,10,3,8,4,10,2,8,2,10,4,8,4,10,6,},
{4,104,19,8,4,6,19,13,4,13,19,5,4,1,10,8,4,6,19,3,4,7,19,5,4,3,10,20,8,1,18,4,8,1,18,1,8,1,10,30,8,3,10,15,8,1,18,1,4,6,19,2,4,7,19,1,4,5,19,3,4,27,19,5,4,4,18,1,8,1,10,2,4,2,19,6,4,22,19,6,4,8,10,1,8,1,10,9,8,9,10,11,8,9,10,1,8,69,15,1,8,18,18,2,8,28,10,3,8,9,18,2,15,3,18,6,8,17,18,1,15,3,8,15,15,14,8,5,15,15,14,4,15,2,8,3,15,2,14,2,15,3,18,1,15,5,8,6,15,4,8,4,15,7,8,4,15,5,14,2,15,2,14,1,15,2,8,3,15,2,8,3,15,4,8,7,15,6,8,7,15,5,14,1,18,2,4,1081,19,1,3,5,4,2,18,1,3,1,16,8,3,6,16,57,3,1,19,2,4,1,19,1,3,1,16,163,3,2,19,1,4,5,3,2,16,1,3,2,18,1,3,13,16,11,3,1,4,1,19,4,4,6,19,1,3,7,18,1,4,693,19,24,4,2,18,4,8,5,18,1,4,3,19,7,4,55,19,4,4,3,19,9,4,3,18,2,8,11,10,3,8,4,10,1,8,9,10,2,8,10,10,6,8,2,10,2,8,1,10,4,8,4,10,9,8,2,10,6,},
{4,105,19,7,4,6,19,7,4,19,19,5,4,1,10,9,4,2,19,7,4,6,19,6,4,2,10,19,8,2,18,2,8,2,10,17,8,2,10,14,8,3,10,13,8,1,18,3,4,2,19,6,4,3,19,13,4,37,10,3,4,2,19,6,4,26,19,8,4,2,10,1,18,1,10,9,8,9,10,13,8,1,10,2,8,15,18,3,8,2,10,4,8,2,18,2,8,16,18,3,8,76,10,3,8,9,15,5,18,6,8,17,18,1,15,4,8,15,15,13,8,7,15,2,14,4,15,21,8,3,18,1,15,3,8,6,15,16,8,4,15,2,14,4,15,5,8,3,15,3,8,4,15,3,8,7,15,5,8,8,15,2,14,1,15,1,14,2,18,2,4,2,19,3,4,1074,18,1,3,6,18,1,4,2,3,1,16,72,18,1,19,4,3,1,16,165,3,2,18,1,4,2,18,1,3,2,19,1,4,1,19,2,4,1,18,1,3,12,16,5,3,1,16,3,3,1,19,6,4,1,19,2,4,1,18,1,3,3,16,7,3,2,4,695,19,8,4,2,19,10,4,5,18,7,4,2,19,8,4,63,19,9,4,2,18,5,8,7,10,10,8,19,10,8,8,1,10,6,8,5,10,10,8,1,10,2,8,4,},
{4,108,19,3,4,8,19,1,4,24,19,5,4,2,10,8,4,1,19,8,4,6,19,6,4,3,10,15,8,8,10,17,8,4,10,14,8,2,10,13,18,3,4,3,19,6,4,2,19,14,4,38,10,1,4,3,19,6,4,27,19,7,4,2,10,1,9,1,10,6,8,3,10,2,8,9,10,14,8,14,18,4,8,2,10,3,8,20,15,1,18,4,8,72,10,2,8,16,15,2,18,4,8,18,18,2,15,5,8,16,15,3,8,2,15,6,8,7,15,1,14,5,15,2,8,3,15,4,8,1,15,8,8,7,18,1,15,2,8,6,15,22,14,3,15,5,18,1,8,3,15,3,8,5,15,1,8,7,15,7,8,7,15,2,14,1,15,1,14,2,18,2,4,1,19,4,4,1074,3,1,16,5,3,2,18,1,3,1,16,72,3,1,18,1,4,1,19,4,3,1,16,166,3,5,4,3,19,2,4,2,3,14,16,2,3,1,18,3,3,1,4,1,19,11,3,3,16,9,3,2,4,704,19,9,4,6,18,3,8,2,10,1,4,2,19,7,4,64,19,9,4,3,10,1,18,3,8,6,10,7,8,4,10,2,8,17,10,13,8,7,10,5,8,2,10,2,8,3,10,2,8,3,},
{4,144,19,4,4,4,10,7,4,1,19,8,4,6,19,6,4,7,18,1,10,9,8,7,18,2,8,3,10,35,8,2,10,10,4,6,19,6,4,2,19,14,4,42,19,5,4,29,19,6,4,2,10,7,8,3,10,5,8,9,10,11,8,16,18,2,8,27,18,3,8,23,15,2,8,12,18,4,8,32,10,2,8,34,18,4,8,1,18,3,15,5,8,3,10,2,8,1,15,4,8,7,15,2,8,2,15,8,8,2,15,6,14,2,15,3,8,3,15,3,8,4,15,4,8,7,18,1,15,5,8,5,15,9,8,3,15,15,8,2,18,1,8,4,15,1,14,1,15,1,8,1,10,1,9,1,8,8,15,8,8,9,15,2,18,4,4,2,19,4,4,1074,3,1,16,82,3,2,4,2,19,2,4,1,3,1,16,169,3,1,18,1,4,4,19,1,4,1,3,3,16,2,3,5,4,4,3,2,4,5,19,2,4,3,19,6,4,3,18,1,3,1,16,9,3,2,19,1,4,705,19,6,4,6,10,5,4,3,19,5,4,66,19,9,4,6,10,2,18,3,10,8,18,5,10,3,8,7,10,2,8,8,10,2,8,1,10,1,8,6,10,2,8,3,10,1,8,3,10,4,8,8,10,5,},
{4,142,19,6,4,12,19,8,4,6,19,5,4,9,10,9,8,4,10,1,8,3,18,2,8,4,10,12,4,9,10,5,8,1,10,6,8,6,18,1,4,6,19,1,4,4,19,5,4,3,19,14,4,42,19,5,4,30,19,4,4,3,10,7,8,3,10,5,8,11,10,7,8,25,18,1,8,3,10,2,8,18,18,1,8,37,18,2,8,33,10,4,8,2,10,3,8,12,10,2,8,14,18,4,8,2,18,2,15,3,8,25,15,7,8,2,15,9,8,4,15,3,8,15,18,1,15,6,8,3,15,10,8,5,15,9,8,11,15,3,8,11,15,9,8,8,15,1,18,4,4,2,19,5,4,1074,18,1,3,1,16,83,3,1,18,1,4,3,3,1,16,170,3,4,18,1,19,2,4,1,3,3,16,2,3,4,4,4,18,2,4,8,18,1,4,2,19,5,4,4,3,1,16,11,3,1,19,1,4,256,19,2,4,446,19,6,4,15,19,4,4,66,19,8,4,26,10,2,8,26,10,2,8,4,10,1,8,3,10,4,8,8,10,5,},
{4,140,19,9,4,6,19,9,4,24,10,15,8,3,10,1,8,1,18,11,10,3,4,10,9,1,10,2,8,4,10,6,8,4,18,1,4,3,19,4,4,14,19,4,4,69,19,5,4,18,10,8,8,1,10,3,8,17,10,4,8,11,10,1,8,34,15,1,8,1,15,1,8,30,15,4,8,3,18,3,8,5,18,1,8,27,10,24,8,36,10,1,8,4,15,1,8,9,15,5,8,8,15,6,8,1,15,6,8,1,15,2,8,3,15,4,8,6,15,5,18,1,8,1,18,1,8,3,18,1,15,1,8,2,15,5,8,15,18,2,8,3,18,2,8,3,18,4,8,9,15,2,14,3,15,1,8,7,18,5,4,4,19,5,4,1076,3,2,16,83,3,1,18,1,3,1,16,175,3,1,4,3,18,2,3,1,16,2,3,2,18,6,3,1,18,2,4,1,18,2,4,16,18,1,3,2,16,11,3,1,18,1,4,253,3,5,4,445,19,4,4,88,19,4,4,28,18,3,8,2,10,2,8,20,10,5,8,1,10,4,8,2,10,4,8,10,10,1,8,1,},
{4,140,19,8,4,3,19,12,4,26,10,18,18,5,4,20,9,1,10,2,8,3,10,11,4,3,19,5,4,87,19,6,4,5,18,1,10,7,8,2,10,13,8,5,10,1,8,13,10,3,8,11,10,2,8,6,10,3,8,22,15,1,8,1,15,1,8,33,15,2,8,4,18,2,8,22,10,2,8,6,10,28,8,3,15,3,8,29,10,3,8,3,15,2,8,9,15,3,8,11,15,4,8,6,15,3,8,3,15,6,8,5,15,5,18,1,8,1,18,1,8,1,9,1,8,2,18,1,8,2,15,2,14,2,15,1,8,15,15,1,18,1,8,2,18,3,8,3,18,1,15,4,18,3,8,6,15,5,8,5,15,1,18,5,4,5,19,1,4,1080,3,2,16,2,3,1,16,16,3,5,18,3,3,2,16,212,3,1,16,20,18,1,4,3,18,1,3,4,18,2,3,2,16,1,3,3,18,3,3,3,18,1,4,2,18,1,4,4,18,1,3,3,4,3,18,2,3,2,16,11,3,1,18,1,4,252,19,1,3,1,16,2,3,1,4,562,19,6,4,2,18,1,10,7,8,10,10,2,8,2,10,1,8,4,10,1,8,2,10,5,8,6,10,2,8,11,},
{4,140,19,7,4,3,19,10,4,29,10,15,8,1,18,2,4,18,19,4,4,3,9,1,10,1,8,3,10,1,8,2,10,1,8,1,10,6,4,4,19,5,4,87,19,6,4,4,10,10,8,1,10,3,8,2,10,9,8,3,10,4,8,10,10,5,8,18,10,3,8,24,15,1,8,61,10,38,8,3,15,2,8,60,15,4,8,14,15,4,8,6,18,2,15,2,18,1,8,4,9,2,8,3,15,2,14,1,15,4,8,12,18,1,15,3,18,1,8,1,18,2,8,4,18,3,15,6,8,14,15,3,18,3,4,1085,18,1,3,2,16,3,3,1,16,12,3,2,18,1,19,1,4,2,19,4,4,4,19,1,3,1,16,209,3,3,16,20,3,1,4,2,3,2,18,1,4,3,3,2,16,3,3,2,18,3,3,3,18,1,10,5,18,2,3,1,16,2,3,2,18,1,3,2,16,13,3,2,18,2,3,3,18,1,4,248,3,2,16,1,3,1,19,1,4,561,19,6,4,9,10,6,8,5,10,6,8,7,10,2,8,9,10,2,8,7,10,3,},
{4,140,19,4,4,6,19,10,4,28,10,16,8,1,18,1,4,6,19,2,4,10,19,6,4,2,9,1,10,1,8,2,10,1,8,3,10,4,8,1,10,1,4,7,19,3,4,88,19,5,4,5,18,1,10,8,8,6,10,10,8,2,10,5,8,4,10,1,8,5,10,6,8,18,10,1,8,85,10,39,8,23,15,1,8,41,15,5,8,13,15,4,18,1,8,7,18,4,8,2,18,1,8,4,15,3,14,1,15,11,8,7,15,3,18,1,8,1,18,3,8,3,18,1,15,1,18,1,15,1,14,3,15,5,8,8,15,2,7,1,15,2,14,1,18,3,4,1084,3,2,16,15,3,2,18,2,4,5,19,4,4,5,3,1,16,209,3,2,16,22,3,1,18,1,3,1,18,1,4,4,18,1,3,1,16,3,3,3,18,2,3,3,18,3,9,2,18,2,3,2,16,3,3,3,16,11,3,2,18,4,3,2,16,1,3,2,4,249,18,1,3,2,19,1,4,561,19,7,4,9,10,14,8,10,10,1,8,9,10,12,},
{4,140,19,4,4,6,19,6,4,32,10,13,8,2,18,3,4,3,19,5,4,9,19,7,4,2,9,1,10,3,8,5,10,3,8,1,18,1,4,98,19,3,4,7,18,2,10,1,18,7,8,5,10,10,8,3,10,4,8,3,10,13,8,104,10,40,8,12,15,1,8,9,15,1,8,12,15,1,8,28,15,6,8,12,15,3,8,10,18,5,15,2,8,2,15,7,8,1,15,7,8,14,18,5,15,4,14,2,15,7,8,6,15,2,14,1,7,1,15,2,18,3,4,1083,18,1,3,2,16,15,3,1,4,7,18,1,3,10,16,3,3,3,16,228,3,1,18,3,4,6,18,1,3,6,18,1,3,6,18,3,3,4,16,4,3,5,16,6,3,1,18,1,10,2,9,1,18,3,3,3,18,1,4,814,19,10,4,6,18,1,10,7,8,1,10,5,8,5,10,4,8,11,10,12,},
{4,141,19,3,4,7,19,4,4,32,10,4,8,4,10,6,18,3,4,4,19,6,4,8,19,8,4,1,18,1,10,3,8,6,10,3,18,2,4,109,18,9,8,4,10,12,8,9,10,13,8,12,10,1,8,33,15,1,8,45,10,1,8,12,10,40,8,10,15,3,8,51,15,5,8,11,15,3,8,11,18,1,15,14,8,3,15,4,8,15,18,1,15,12,8,2,15,5,8,3,15,2,14,3,15,3,18,2,4,61,18,3,3,1,18,4,4,1015,3,2,16,15,3,1,4,7,3,1,16,13,3,4,16,228,3,3,18,2,4,7,18,1,3,19,16,4,3,11,18,1,10,2,18,1,3,1,18,2,4,818,19,10,4,7,18,1,4,1,10,4,8,2,10,5,8,5,10,3,8,12,10,12,},
{4,178,19,3,4,4,18,2,10,1,8,1,10,1,8,1,18,1,8,2,10,5,4,9,19,6,4,8,19,8,4,2,10,1,8,1,10,2,8,3,10,1,8,1,10,3,18,2,4,112,18,5,8,4,10,6,8,2,10,5,8,9,10,14,8,45,15,3,8,19,15,2,8,22,10,1,8,13,10,20,8,3,10,16,8,10,15,3,8,52,15,4,8,6,15,1,8,3,15,4,8,5,15,1,8,4,15,6,14,2,15,8,8,13,18,1,15,1,8,4,18,1,8,2,18,2,15,1,18,3,15,2,18,1,8,1,18,1,8,5,15,7,14,4,15,4,18,2,4,2,19,2,4,55,18,4,3,3,18,4,4,1015,3,2,16,6,3,2,16,5,3,1,19,2,4,2,18,1,3,3,16,4,3,2,16,244,3,5,18,1,4,2,18,1,3,1,16,4,3,2,18,2,3,9,16,6,3,2,18,4,3,10,4,1,19,3,4,2,3,5,4,812,19,6,4,15,10,6,8,10,10,1,8,9,10,3,8,4,10,4,},
{4,177,19,5,4,3,18,1,10,2,8,1,10,1,8,1,18,2,8,2,10,3,4,6,19,2,4,3,19,4,4,10,19,6,4,3,18,2,10,8,4,117,18,4,8,1,10,8,8,4,10,5,8,9,10,13,8,45,15,5,8,30,15,1,8,10,10,1,8,16,10,17,8,5,10,13,8,66,15,4,8,10,15,4,8,5,15,2,8,3,15,1,14,2,15,13,8,11,15,5,8,1,18,1,15,2,18,1,8,7,15,2,18,1,8,7,15,3,14,7,15,2,8,1,15,1,18,2,4,2,19,4,4,50,18,2,4,1,18,4,3,2,14,1,18,2,15,1,18,7,4,1010,3,2,16,2,3,2,16,2,3,2,16,4,3,1,19,3,4,1,18,1,16,8,3,2,16,249,3,1,4,2,3,1,16,6,3,2,18,2,3,3,18,2,3,2,16,7,3,2,18,1,9,1,10,1,18,1,3,4,16,2,3,4,18,1,19,4,4,1,3,2,16,2,3,1,19,1,4,811,19,6,4,4,19,3,4,3,19,1,4,5,10,7,8,8,10,3,8,15,10,1,8,1,10,1,},
{4,177,19,5,4,3,18,1,10,4,8,3,18,5,4,2,19,6,4,18,19,4,4,4,18,1,10,8,18,1,4,118,18,2,10,4,8,2,10,4,8,4,10,7,8,12,10,8,8,45,15,5,8,30,15,1,18,1,8,10,10,1,8,14,10,19,8,3,10,13,8,25,15,7,8,36,15,3,8,9,15,5,8,4,15,3,8,3,15,1,14,2,15,1,8,3,15,1,8,2,15,9,8,7,18,1,15,5,18,1,15,3,18,1,8,7,15,3,18,1,8,7,15,2,14,7,15,3,18,3,4,2,19,4,4,47,18,7,8,1,15,1,14,4,15,6,18,6,4,1008,3,1,16,4,3,3,16,5,3,1,19,3,4,1,3,1,16,13,3,1,16,247,3,3,16,7,3,2,18,6,3,2,16,9,3,1,18,2,3,2,16,3,3,2,18,1,4,2,3,1,18,1,4,1,19,3,4,3,19,1,3,7,4,243,3,2,19,1,4,561,19,6,4,4,19,7,4,1,19,1,4,3,9,1,8,1,10,7,8,27,},
{4,176,19,6,4,3,10,3,8,4,18,5,4,3,19,6,4,26,18,1,10,1,18,5,4,1,18,1,4,121,10,3,8,1,18,1,8,2,10,3,8,4,10,9,8,10,10,10,8,6,10,2,8,35,15,5,8,12,15,1,8,17,15,1,8,27,10,4,8,8,10,21,8,26,15,7,8,36,15,4,8,8,15,5,8,4,15,3,8,3,15,1,14,1,15,2,8,6,15,7,8,1,15,1,8,7,15,6,18,2,15,1,18,2,8,6,18,1,15,1,14,1,15,2,8,3,15,2,8,2,18,1,15,2,14,5,15,5,18,2,4,2,19,4,4,48,18,5,15,1,8,1,7,2,14,2,7,2,8,2,7,3,15,2,14,2,18,5,4,1004,3,1,16,6,3,2,16,3,3,2,4,1,19,2,4,1,3,1,16,14,3,2,16,257,3,2,4,3,18,1,3,3,16,9,3,2,18,1,3,2,16,2,3,2,18,1,4,2,19,1,4,4,19,2,4,4,18,1,3,3,16,3,3,1,4,242,3,3,4,562,19,1,4,2,19,1,4,5,19,10,4,3,10,14,8,21,},
{4,176,19,6,4,2,10,3,7,1,17,2,14,1,18,2,4,7,19,6,4,22,18,4,10,2,4,2,18,2,4,119,19,3,4,4,18,4,8,2,10,16,8,9,10,10,8,6,10,2,8,34,15,5,8,13,15,1,8,28,10,2,8,15,10,1,8,12,10,12,8,76,15,6,8,6,15,6,8,4,15,4,8,2,15,3,8,3,15,2,8,1,15,2,14,1,15,4,8,10,18,5,8,4,18,1,8,6,18,1,15,1,14,3,15,2,8,1,15,3,8,3,15,2,14,4,15,4,14,2,18,2,4,2,19,4,4,49,18,4,8,2,15,1,14,3,7,2,8,3,15,7,18,4,4,1003,18,1,3,1,16,10,18,1,4,1,19,2,4,2,3,1,16,242,3,2,16,31,3,1,18,1,4,2,3,1,16,1,3,5,16,2,3,6,18,2,3,4,18,1,10,1,4,1,19,4,4,4,19,2,4,5,19,1,3,1,16,6,3,3,18,1,4,236,19,1,3,2,4,570,19,10,4,4,18,7,10,7,8,10,10,2,8,8,},
{4,177,19,4,4,3,18,1,10,1,18,1,16,4,3,1,4,8,19,5,4,21,10,1,18,1,3,3,18,2,4,123,19,6,4,2,18,4,8,2,10,7,8,4,10,6,8,1,10,5,8,2,10,10,8,7,10,1,8,35,15,3,8,14,15,1,8,28,10,1,8,16,10,1,8,14,10,9,8,74,15,12,8,2,15,7,8,3,15,5,8,4,15,1,8,3,15,1,14,1,15,2,14,2,15,3,8,12,18,1,8,3,9,1,10,1,8,1,18,1,15,7,18,1,15,11,8,1,18,1,15,2,14,3,15,3,18,1,14,1,18,3,4,2,19,4,4,51,18,3,8,2,15,1,7,2,14,1,7,2,8,3,7,3,15,4,18,4,4,1003,18,1,3,1,16,8,3,2,4,2,19,2,4,1,3,1,16,243,3,3,16,31,3,1,4,2,3,1,16,1,3,5,16,1,3,5,18,1,3,2,18,5,10,2,4,2,19,3,4,4,19,2,4,7,3,3,16,3,3,3,18,1,4,237,18,1,3,1,4,570,19,11,4,15,10,3,8,8,10,3,8,8,},
{4,184,10,2,3,1,16,4,3,1,4,34,10,1,18,2,3,1,18,1,4,125,19,7,4,1,18,1,10,3,8,2,10,6,8,5,10,17,8,1,10,7,8,43,15,1,8,37,10,1,8,41,10,3,8,75,15,33,8,2,15,4,14,6,15,1,8,16,9,4,8,1,15,1,14,5,15,2,8,2,15,2,8,3,15,9,14,3,15,4,18,3,4,3,19,3,4,47,19,3,4,2,18,5,7,15,15,1,8,2,18,2,4,1005,3,1,16,6,3,1,4,4,3,2,16,280,3,7,16,7,3,1,18,2,3,3,18,1,9,1,10,2,4,5,19,7,4,18,3,5,18,1,4,806,19,19,4,3,10,5,8,6,10,4,8,7,},
{4,185,18,1,3,1,16,4,18,1,4,1,19,3,4,30,18,4,4,126,19,7,4,2,10,4,8,1,10,4,8,8,10,4,8,1,10,7,8,2,10,2,8,1,10,8,8,33,15,2,8,42,10,8,8,50,18,1,8,63,15,18,14,2,15,17,14,1,15,1,14,3,15,5,8,1,15,1,8,4,15,3,8,7,9,3,8,1,15,1,14,6,15,1,18,1,8,7,15,14,14,1,18,3,4,3,19,4,4,46,19,4,4,5,18,2,7,15,8,3,18,2,4,1006,3,1,16,3,3,2,4,4,3,1,16,284,3,2,18,1,3,2,16,7,3,1,18,2,3,4,18,2,4,6,19,7,4,18,3,5,18,1,4,807,19,19,4,5,18,2,10,3,8,3,10,3,8,6,10,1,8,1,},
{4,185,18,1,3,1,16,3,18,1,4,1,19,4,4,160,19,7,4,3,10,3,8,1,10,1,8,5,10,4,8,2,10,4,8,2,10,4,8,5,10,12,8,29,15,4,8,12,15,1,8,13,10,2,8,13,10,9,8,56,15,3,8,12,15,3,8,40,15,5,8,6,15,6,14,3,15,14,14,7,15,1,8,2,15,2,8,2,15,2,8,1,15,2,14,2,15,2,8,4,18,3,8,1,18,2,14,2,3,1,14,3,15,1,18,1,8,3,15,11,14,2,15,5,14,2,18,2,4,3,19,5,4,46,19,7,4,2,18,1,15,1,7,1,8,4,7,9,8,3,15,1,18,2,4,1006,18,1,16,2,3,1,18,1,4,2,19,1,4,2,19,1,16,284,3,1,18,1,3,4,16,2,3,5,18,2,3,7,4,5,19,22,4,819,19,18,4,7,18,1,10,1,8,7,10,1,8,1,10,4,},
{4,186,18,1,3,1,18,2,4,2,19,4,4,160,19,7,4,3,10,5,8,6,10,4,8,9,10,2,8,7,10,10,8,74,10,5,8,2,10,2,8,5,10,2,8,3,10,1,8,60,15,2,8,40,15,7,8,5,15,23,14,8,15,1,8,3,15,6,14,4,15,2,18,1,8,1,18,6,15,1,14,4,15,2,8,5,15,1,14,1,15,8,14,4,15,4,14,1,18,2,4,3,19,6,4,46,19,8,4,1,18,2,15,1,8,4,7,9,8,3,15,1,18,3,4,1006,3,3,4,1,19,5,4,1,3,11,16,274,3,14,16,3,3,4,18,1,4,3,19,24,4,819,19,20,4,5,10,1,8,6,10,7,},
{4,189,19,5,4,30,19,5,4,129,19,6,4,2,10,6,8,6,10,4,8,8,10,3,8,9,10,6,8,14,10,2,8,1,15,1,8,9,15,2,8,8,15,1,8,1,15,3,8,46,10,2,8,4,10,3,8,5,10,2,8,68,15,1,8,21,15,8,14,1,15,1,8,3,15,6,8,9,15,5,14,4,15,1,14,2,3,1,14,6,15,1,8,2,15,1,14,1,15,3,14,4,15,4,18,2,8,1,9,2,18,4,15,3,18,1,8,4,15,7,8,2,15,2,14,1,15,2,14,4,15,1,18,4,4,3,19,6,4,46,19,7,4,3,18,1,15,5,7,10,8,2,15,2,18,5,4,1007,19,16,3,3,16,12,3,3,16,261,3,9,16,4,3,1,18,3,4,2,19,26,4,821,19,20,4,3,10,1,8,9,10,4,},
{4,187,19,6,4,31,19,6,4,129,19,5,4,3,10,5,8,6,10,4,8,8,10,4,8,8,10,5,8,17,15,3,8,8,15,1,8,8,15,6,8,46,10,1,8,5,10,3,8,6,10,1,8,42,10,1,8,23,15,3,8,20,15,7,8,1,15,1,14,2,8,3,15,6,8,9,15,2,14,2,15,1,14,7,3,2,14,5,15,1,8,2,15,1,14,1,15,3,14,3,15,1,8,1,15,2,18,3,8,1,9,2,8,1,18,1,8,2,18,3,8,4,15,6,8,2,15,3,14,3,15,3,14,2,18,5,4,3,19,5,4,47,19,7,4,2,18,3,15,1,14,4,7,1,14,1,6,2,7,6,8,1,15,2,8,1,18,3,4,1001,19,2,4,5,19,16,3,11,16,4,3,3,16,266,3,4,16,4,3,1,18,1,10,1,18,2,4,1,19,26,4,834,19,8,4,2,10,2,18,2,8,3,10,1,8,1,10,5,},
{4,186,19,7,4,31,19,6,4,130,19,5,4,3,10,3,8,7,10,4,8,8,10,4,8,7,10,7,8,8,10,2,8,6,15,4,8,15,15,2,8,58,10,1,8,19,18,1,15,3,18,1,8,38,15,1,8,1,15,1,8,7,15,3,8,5,15,6,8,12,15,6,8,1,15,3,8,3,15,7,8,2,15,3,8,3,15,1,14,12,3,1,14,3,15,2,8,3,15,1,14,6,15,1,8,5,18,3,9,3,8,4,18,5,15,6,8,2,15,3,14,5,15,4,18,1,15,2,18,2,4,55,19,8,4,1,18,2,15,2,14,4,7,9,8,4,9,2,4,1002,3,1,16,3,3,2,4,2,19,2,4,2,3,12,16,2,3,1,4,7,3,2,16,273,3,3,16,4,3,1,18,3,3,3,4,1,19,14,4,3,19,7,4,834,19,8,4,5,18,1,8,2,10,8,},
{4,186,19,6,4,32,19,6,4,130,19,5,4,3,10,3,8,7,10,4,8,2,10,2,8,6,10,3,8,1,10,12,8,8,10,2,8,1,15,1,8,3,15,5,8,5,15,1,8,20,18,1,15,1,8,12,10,6,8,49,15,1,14,3,15,1,18,1,8,36,15,5,8,6,15,4,8,3,15,2,14,3,15,4,8,11,15,5,8,1,15,3,8,3,15,5,14,2,15,2,14,2,15,5,14,15,15,1,8,4,15,2,14,5,15,1,8,6,18,1,15,2,18,4,8,2,18,2,15,10,8,1,15,2,14,6,15,2,18,7,4,56,19,7,4,2,18,3,15,1,14,5,7,7,8,5,9,1,10,1,4,1002,3,1,16,3,3,2,4,2,19,2,4,1,3,1,16,14,3,1,18,1,4,6,3,1,16,275,3,1,16,5,3,5,16,1,3,1,18,1,4,1,19,5,4,5,19,2,4,5,19,5,4,38,19,4,4,793,19,8,4,6,10,1,8,2,10,7,},
{4,186,19,5,4,34,19,4,4,131,19,6,4,2,10,4,8,7,10,2,8,3,10,2,8,5,10,17,8,11,15,1,8,2,15,1,8,3,15,2,8,4,15,2,8,19,15,3,8,4,10,2,8,7,10,6,8,48,18,1,15,1,14,2,15,1,8,13,15,2,8,31,15,4,14,1,15,5,14,3,15,9,8,13,15,3,8,3,15,5,14,7,15,4,14,5,15,3,14,7,15,1,8,3,15,4,14,4,15,3,8,4,15,3,14,4,15,15,14,8,15,1,18,2,15,2,18,4,4,58,19,4,4,3,18,4,3,4,14,2,15,1,7,3,15,1,7,1,8,5,9,1,18,1,4,1004,3,2,4,6,18,1,3,1,16,16,3,5,16,283,3,8,4,3,19,3,4,14,19,2,4,1,3,5,4,32,18,1,3,3,16,1,3,2,4,6,3,4,4,783,19,9,4,3,10,1,8,5,10,4,},
{4,360,19,6,4,2,10,7,8,16,10,17,8,10,15,2,8,7,15,1,8,2,15,2,8,3,15,5,8,3,10,2,8,7,15,4,8,3,10,3,8,8,10,5,8,50,18,1,15,1,8,10,15,5,14,1,15,1,8,28,15,6,14,3,15,6,8,3,15,8,8,21,15,1,14,3,15,1,14,6,15,1,14,4,15,2,8,1,15,2,14,5,15,9,14,4,15,5,8,2,18,1,15,1,14,2,3,2,14,1,3,1,14,2,15,10,14,9,15,1,18,2,15,1,14,2,18,3,4,60,19,2,4,4,18,4,3,5,14,1,15,7,8,3,18,4,4,1011,3,1,16,21,3,1,16,284,3,8,18,1,4,4,18,2,4,3,18,1,3,2,18,1,4,1,18,3,4,1,19,2,4,1,3,1,16,3,3,2,19,1,4,30,18,1,3,3,16,3,3,1,4,5,3,2,16,2,3,1,18,1,4,784,19,7,4,2,18,1,8,9,},
{4,360,19,6,4,2,10,11,8,12,10,17,8,10,15,2,8,7,15,5,8,3,15,4,8,3,10,4,8,6,18,1,15,2,8,3,10,4,8,9,10,4,8,64,15,5,8,16,15,4,8,8,15,4,8,2,15,1,14,1,15,6,8,4,15,12,8,18,15,1,14,1,15,2,8,1,15,3,14,2,15,3,14,3,15,1,8,2,15,1,14,3,15,3,14,3,15,1,8,2,15,2,14,3,15,6,8,4,15,1,14,1,3,2,14,1,3,1,14,2,15,9,14,5,15,5,8,2,18,1,15,1,14,2,15,1,18,2,4,66,18,5,14,1,3,1,14,3,15,2,14,4,15,1,8,3,15,1,14,1,3,2,18,1,4,1010,18,1,3,1,16,19,3,1,4,2,3,1,16,282,3,1,19,2,4,1,18,2,3,8,18,1,4,3,3,1,16,1,3,1,4,2,18,1,3,2,19,3,4,1,3,1,16,3,3,3,18,1,4,17,19,2,4,13,18,1,3,1,16,3,3,3,18,1,4,2,3,1,16,4,3,1,4,784,19,6,4,3,18,1,8,8,},
{4,360,19,6,4,2,10,11,8,3,10,2,8,7,10,5,8,5,10,8,8,17,15,4,14,1,15,1,8,11,10,1,8,5,15,1,18,1,8,8,10,2,8,10,10,1,8,56,15,2,18,1,8,29,15,6,8,1,15,9,8,2,15,9,8,3,15,14,8,9,15,2,8,5,15,3,8,4,15,1,14,2,15,3,14,3,15,1,8,2,15,1,14,4,15,2,14,3,15,1,8,2,15,1,14,4,15,1,8,2,15,2,8,3,18,2,15,1,14,1,3,1,14,2,3,1,14,2,15,4,14,10,15,5,18,4,14,2,18,3,4,65,18,7,15,1,14,2,15,2,14,4,15,1,8,3,18,2,3,3,18,1,4,1011,18,2,3,3,16,15,3,1,4,2,3,1,16,282,3,1,19,2,4,3,18,1,3,6,18,1,4,4,18,1,3,2,4,2,18,1,3,3,19,2,4,1,3,1,16,3,3,4,4,16,19,4,4,12,18,1,3,1,16,1,3,6,4,2,3,1,16,4,3,1,4,784,19,8,4,2,10,4,8,4,},
{4,360,19,6,4,2,18,1,8,2,10,8,8,1,10,4,8,8,10,3,8,3,18,1,8,2,10,10,8,13,15,3,14,4,15,1,8,17,18,1,8,20,10,2,8,56,15,2,8,30,15,6,14,5,15,13,14,3,15,22,8,3,15,4,8,3,15,4,8,4,15,1,14,3,15,2,14,2,15,1,8,2,15,1,14,3,3,1,14,6,8,3,15,1,14,4,15,1,8,7,15,2,14,8,15,3,14,2,3,3,14,5,15,1,8,2,15,1,14,2,15,1,18,3,15,2,18,2,4,2,19,3,4,62,18,8,15,3,14,4,15,1,8,2,18,5,4,1015,19,3,3,1,16,15,3,2,16,256,3,1,16,11,3,2,16,13,3,1,4,23,18,3,4,2,18,1,3,1,16,3,3,4,18,1,4,4,18,1,3,1,18,5,4,4,19,5,4,5,19,2,4,3,3,1,16,1,3,2,18,2,3,2,16,2,3,2,16,2,3,2,4,787,19,8,4,2,10,4,8,3,},
{4,360,19,6,4,2,18,2,8,2,10,12,8,13,18,3,8,1,10,11,8,6,10,1,8,5,15,3,14,3,15,1,8,7,10,2,8,3,15,2,18,1,8,35,15,2,8,77,15,6,14,6,15,12,14,3,15,25,14,4,15,7,8,1,15,2,8,1,15,1,14,7,15,3,14,1,3,5,14,3,15,5,14,6,15,4,8,2,15,1,14,6,15,1,14,2,15,3,14,2,3,1,16,3,17,1,14,4,8,3,15,1,14,2,15,2,18,4,8,1,9,1,4,2,19,3,4,65,18,5,15,1,14,2,15,4,8,2,18,3,4,1018,19,3,4,1,18,1,3,3,16,12,3,1,16,2,3,3,16,262,3,1,4,2,3,1,16,1,3,4,16,7,3,3,18,1,4,23,3,5,16,6,3,1,4,3,18,1,3,1,16,3,3,5,18,1,4,2,19,3,4,5,19,5,4,1,3,1,16,1,3,1,18,2,4,2,18,1,3,3,16,2,3,2,4,789,19,7,4,2,10,5,8,2,},
{4,360,19,6,4,2,18,2,8,2,10,12,8,17,10,1,8,3,10,7,8,6,10,1,8,6,15,1,8,1,15,1,14,2,15,1,8,8,10,1,8,3,15,3,8,35,15,2,8,77,15,19,8,3,15,5,8,3,15,22,14,9,15,3,14,2,15,3,14,9,3,1,16,3,3,3,14,1,18,1,8,2,15,1,14,1,3,1,14,10,15,1,14,5,3,1,14,5,15,3,14,2,3,2,16,2,14,5,8,3,15,1,14,2,15,3,18,1,14,1,18,2,9,1,4,2,19,3,4,65,18,4,14,4,15,1,8,4,18,4,4,3,19,1,4,1008,18,1,3,5,4,1,19,5,4,1,18,1,3,8,16,3,3,7,16,262,3,1,4,2,3,1,16,1,3,4,16,2,3,1,16,7,3,1,4,23,3,1,16,2,3,3,16,6,3,1,4,2,3,1,16,7,3,3,18,1,4,9,19,5,4,1,18,1,3,5,4,5,3,3,18,1,4,789,19,7,4,4,10,5,},
{4,360,19,5,4,3,18,1,8,2,10,8,8,2,10,3,8,23,10,4,8,11,10,2,8,4,15,2,8,5,15,2,8,7,18,2,8,3,10,2,8,30,15,2,8,63,15,5,8,3,15,8,8,7,15,7,14,1,15,4,14,3,15,2,8,3,15,16,18,1,8,1,15,5,14,9,15,3,14,2,15,1,8,1,15,1,14,6,3,2,16,5,3,3,14,1,8,1,9,1,8,1,14,1,16,2,3,1,14,21,15,1,18,1,15,2,14,7,15,3,8,3,15,4,18,1,15,2,14,1,15,1,18,1,10,1,4,1,19,4,4,65,18,5,14,2,15,2,8,4,18,4,4,2,19,3,4,1007,18,1,3,1,16,3,3,2,4,1,19,5,4,8,18,4,3,1,18,2,4,1,18,1,3,2,16,262,3,1,4,2,3,1,16,7,3,3,16,5,3,1,18,1,4,12,18,1,3,2,18,1,4,6,3,1,16,3,3,2,16,5,3,1,18,1,4,1,18,1,3,1,16,7,3,4,18,3,4,7,19,4,4,5,3,2,4,6,18,1,3,1,18,1,4,790,19,7,4,4,10,4,},
{4,360,19,5,4,3,18,1,10,9,8,4,10,2,8,11,10,3,8,10,10,1,8,13,10,4,8,2,15,2,8,3,18,1,15,4,8,11,10,2,8,94,15,17,8,8,15,3,14,12,15,4,14,3,15,12,18,1,8,7,15,1,14,7,15,2,8,1,15,3,8,3,15,1,14,5,16,7,3,1,14,3,18,2,14,1,3,1,16,2,3,1,14,1,15,2,14,17,15,1,18,2,8,3,15,4,8,9,15,2,8,1,18,2,14,3,18,1,10,1,4,1,19,4,4,65,18,3,8,1,18,2,15,6,18,3,4,3,19,4,4,1008,18,1,3,4,4,1,19,9,4,10,19,3,4,1,3,4,4,2,3,1,16,257,3,3,16,8,3,4,16,2,3,12,4,3,18,1,3,2,16,1,3,1,4,6,18,1,3,1,16,8,3,1,18,1,4,2,3,2,16,4,3,3,16,1,3,3,18,1,3,7,18,2,4,13,3,2,18,2,4,1,18,3,4,2,19,2,4,785,19,9,4,2,10,4,},
{4,360,19,4,4,4,10,10,8,30,10,1,8,14,10,3,8,3,15,1,8,3,15,5,8,106,15,3,14,2,15,13,8,8,15,1,14,10,3,1,16,1,14,2,15,3,14,4,15,13,18,1,8,6,15,3,14,2,3,2,14,2,15,4,8,4,15,1,14,4,3,1,16,6,3,1,14,1,15,1,14,4,3,1,16,3,3,1,15,1,8,2,15,1,14,16,15,2,18,1,8,13,15,1,8,2,15,1,8,3,18,5,10,1,4,2,19,2,4,66,18,9,15,1,18,5,4,2,19,4,4,1010,18,1,3,1,18,1,4,3,19,2,4,2,19,5,4,9,19,3,4,2,18,2,4,4,3,2,16,267,3,3,16,2,3,3,16,8,3,1,18,1,4,1,18,1,3,2,16,3,3,1,18,3,4,1,18,2,3,1,16,8,18,1,4,3,3,1,16,4,3,1,18,1,3,1,16,2,3,2,18,4,3,7,18,2,4,11,3,2,18,1,4,3,18,2,4,2,19,2,4,787,19,7,4,3,10,3,},
{4,359,19,5,4,4,18,1,8,4,10,5,8,19,18,3,8,7,10,2,8,15,10,2,8,1,15,3,8,2,15,2,18,1,8,5,18,2,8,4,10,1,8,52,18,2,8,7,18,2,8,23,10,3,8,5,15,1,14,2,15,3,14,2,15,3,8,1,15,3,14,2,15,5,8,3,15,3,14,7,3,1,14,8,15,1,8,1,15,1,14,2,15,2,8,4,15,11,8,4,15,2,14,3,3,1,16,2,3,1,14,3,15,2,8,1,15,4,14,2,15,1,14,1,3,1,16,5,3,1,14,1,15,1,18,1,15,1,14,1,3,1,16,5,14,1,8,1,10,2,15,1,14,12,15,3,14,2,15,1,18,2,8,10,15,7,8,2,18,4,4,73,18,5,8,4,18,4,4,2,19,6,4,1006,3,6,4,9,19,3,4,6,18,1,3,1,18,1,4,1,19,3,4,5,19,2,4,1,19,1,3,2,16,270,3,2,16,10,3,1,10,2,18,1,3,1,16,3,3,1,18,1,3,6,16,8,3,1,4,2,3,1,16,4,3,3,16,3,3,1,18,2,10,3,18,7,3,3,18,1,4,5,19,3,4,1,18,1,3,1,4,2,18,2,4,2,19,4,4,788,19,6,4,3,10,3,},
{4,358,19,6,4,4,18,1,8,5,10,5,8,3,10,1,8,2,18,1,8,10,18,4,8,27,15,7,18,1,8,5,18,3,8,64,18,3,8,18,10,8,8,4,15,2,14,2,15,4,18,1,15,1,8,4,15,12,14,12,15,3,14,3,15,1,8,2,15,4,8,6,15,12,8,1,15,3,14,3,3,1,16,3,3,3,14,1,15,4,14,3,15,2,14,1,3,1,16,5,3,1,18,2,14,2,3,1,16,5,3,1,14,2,8,2,14,1,3,1,16,1,3,1,14,8,15,5,14,1,18,3,8,9,15,2,8,2,15,4,18,2,4,81,18,6,4,1,18,1,4,4,19,4,4,1005,18,1,3,1,16,2,3,2,16,1,3,1,18,1,4,6,18,1,4,9,3,1,16,2,3,2,4,1,19,2,4,6,19,3,4,2,3,2,16,260,3,1,16,10,3,3,16,6,3,1,18,2,3,1,16,4,3,2,16,4,3,3,16,7,3,1,18,1,3,1,16,3,3,1,18,3,3,1,16,4,3,2,18,3,3,1,18,1,9,1,10,2,18,3,3,3,18,3,4,2,19,4,4,7,19,5,4,788,19,6,4,4,18,1,10,1,},
{4,358,19,5,4,3,10,3,8,7,10,7,8,14,18,3,8,1,10,5,8,4,10,2,8,6,18,3,8,3,10,1,8,1,15,2,14,1,15,4,18,1,8,70,18,5,8,16,10,10,8,6,18,8,8,3,18,6,8,1,18,1,14,2,15,3,14,2,3,3,14,2,15,7,8,1,15,11,8,4,15,14,14,3,15,2,14,2,3,1,16,5,3,3,15,1,8,2,15,1,14,2,15,1,18,1,14,1,16,6,3,7,16,3,3,1,14,1,3,1,16,1,3,2,16,5,14,3,15,8,18,3,8,5,15,1,8,8,15,1,8,1,18,5,4,1100,3,2,16,9,3,6,16,1,3,9,16,5,3,4,18,2,3,3,19,5,4,1,19,1,3,1,16,257,3,3,16,9,3,2,18,1,3,2,16,6,3,3,16,10,3,5,16,5,3,2,16,4,18,1,4,3,3,2,16,6,3,2,16,1,3,1,10,1,18,1,10,3,18,1,3,7,18,1,4,2,19,3,4,5,19,6,4,6,3,4,4,778,19,6,4,3,18,3,},
{4,358,19,5,4,2,18,1,10,4,8,6,10,7,8,17,10,7,8,3,10,3,8,5,18,3,8,2,9,1,8,2,15,1,14,4,15,2,18,1,8,49,15,2,8,7,10,1,8,5,10,3,8,2,18,6,8,15,10,9,8,5,18,3,8,3,18,4,8,8,18,1,8,2,18,1,14,2,18,3,14,2,3,3,14,1,18,2,8,14,18,4,8,4,15,10,14,7,15,1,18,1,15,1,14,2,3,1,16,5,3,2,14,1,18,2,3,2,14,3,3,1,16,6,3,3,16,7,3,1,14,1,16,8,3,1,14,2,15,1,8,4,15,4,18,4,8,16,18,3,4,1100,3,1,16,35,3,5,16,1,3,1,4,1,19,3,4,2,3,1,16,255,3,4,16,11,3,1,18,1,3,2,16,20,3,11,16,3,3,1,18,1,4,3,18,1,3,2,16,9,3,1,10,1,18,2,10,1,18,6,3,3,18,1,4,1,19,4,4,5,19,1,4,10,3,4,4,779,19,5,4,3,18,3,},
{4,357,19,6,4,2,10,1,8,6,10,1,8,3,10,1,8,3,10,4,8,13,10,5,8,2,10,2,8,3,10,4,8,5,18,4,8,3,15,2,14,1,15,1,14,3,15,1,18,1,8,5,18,1,8,42,15,3,8,9,18,2,8,7,18,4,8,16,10,8,8,6,18,7,8,2,18,5,8,7,18,4,8,3,18,1,15,1,14,3,18,2,8,4,15,3,8,11,18,2,8,3,15,9,14,5,15,1,14,3,15,3,14,1,3,2,16,4,3,2,14,1,3,2,16,2,3,4,16,3,3,4,16,9,3,2,16,6,3,1,14,2,15,2,8,4,15,5,18,7,8,7,7,2,8,2,15,1,18,3,4,1100,3,1,16,36,3,1,4,4,18,2,4,2,18,1,3,3,16,256,3,4,16,12,3,1,16,26,3,17,16,12,3,2,18,2,4,6,18,1,3,2,18,1,4,2,19,3,4,801,19,3,4,5,},
{4,356,19,7,4,1,10,1,8,6,10,4,8,8,10,4,8,7,10,8,8,3,10,1,8,1,10,5,8,7,18,1,8,1,18,3,15,4,18,1,15,1,14,2,18,1,8,11,10,4,8,30,18,1,8,1,18,1,15,6,8,6,18,3,8,19,18,2,8,4,10,8,8,6,18,9,8,3,18,5,8,6,18,2,8,7,18,3,8,6,15,3,8,13,15,11,14,5,15,1,18,1,15,1,14,3,18,2,15,1,14,1,3,6,14,2,3,2,16,1,3,2,14,1,3,2,16,2,3,2,14,1,3,1,16,9,3,5,16,1,3,1,14,3,15,2,8,6,15,3,14,1,15,1,18,7,8,6,7,2,15,3,18,3,4,1101,3,2,16,35,3,1,19,1,4,3,18,1,3,3,16,2,3,3,16,255,3,3,16,41,3,1,18,3,3,2,18,1,3,3,16,2,3,5,16,14,3,1,4,7,18,1,3,1,18,1,4,2,19,4,4,800,19,4,4,4,},
{4,356,19,7,4,1,10,1,8,7,10,3,8,9,10,28,8,5,18,2,8,2,18,2,15,3,18,1,8,2,18,1,15,2,18,1,8,11,10,3,8,33,18,1,15,6,8,4,18,5,8,19,18,3,8,2,10,8,8,7,15,1,18,1,15,1,18,3,8,1,18,2,8,2,18,6,8,40,15,11,14,5,18,3,15,1,14,2,18,2,14,4,3,3,14,1,18,1,8,1,15,1,14,1,3,2,14,2,3,2,16,2,3,2,14,1,3,1,16,7,3,1,14,1,18,2,15,2,14,4,15,4,8,7,15,4,18,7,8,4,15,6,18,3,4,3,19,3,4,1099,3,1,16,34,3,4,16,6,3,5,16,260,3,1,16,37,3,2,18,3,3,2,16,4,3,2,16,2,3,2,16,14,3,1,4,6,19,1,4,4,19,4,4,16,3,4,4,781,19,4,4,3,},
{4,356,19,5,4,3,10,1,8,1,18,2,8,17,10,22,8,2,10,2,8,4,18,4,8,2,18,2,15,1,18,2,8,4,18,2,8,11,10,1,8,37,15,6,18,1,8,2,18,1,15,2,18,2,8,10,10,4,8,5,18,4,8,2,10,7,8,9,15,2,18,1,8,5,18,3,8,3,18,6,8,26,15,2,8,8,15,13,14,3,15,1,18,2,15,1,14,2,18,2,15,2,18,1,15,1,14,1,3,1,14,2,18,1,8,2,18,1,15,2,18,2,14,1,3,5,14,1,3,2,16,3,3,3,14,1,8,1,10,1,8,1,18,1,8,6,15,6,8,5,15,3,18,5,8,1,18,1,8,3,15,5,18,4,4,3,19,4,4,1100,3,2,16,42,3,5,16,260,3,1,16,38,3,6,16,4,3,2,16,2,3,2,16,14,3,1,4,5,19,10,4,16,3,1,16,2,3,1,19,1,4,779,19,5,4,3,},
{4,356,19,5,4,2,18,1,8,1,18,3,8,4,18,1,8,14,10,9,8,5,10,5,8,7,18,1,14,3,18,2,8,4,18,2,8,2,10,2,8,1,18,2,8,51,15,4,18,1,8,3,15,2,18,1,8,10,10,5,8,5,18,3,8,2,10,6,8,19,18,2,8,4,18,7,8,24,15,6,18,1,8,4,15,16,14,3,15,2,18,1,8,2,18,1,15,1,18,1,15,1,14,5,15,1,8,2,18,1,15,1,18,3,15,1,14,1,3,1,14,4,3,5,14,3,15,1,18,1,15,3,8,5,15,1,14,4,15,2,8,4,15,2,18,5,8,3,18,2,15,6,18,3,4,3,19,5,4,1102,18,1,3,1,16,37,3,1,16,308,3,4,16,4,3,2,16,4,3,2,16,11,3,2,4,5,19,9,4,8,19,2,4,7,3,1,16,2,3,1,18,1,4,779,19,6,4,2,},
{4,356,19,5,4,1,18,1,8,8,18,4,8,2,10,3,8,7,10,5,8,9,10,4,8,2,18,2,8,4,18,1,14,2,15,1,18,2,8,7,10,3,8,55,18,1,15,2,8,4,15,2,18,1,8,10,10,4,8,6,18,3,8,2,10,5,8,25,18,8,8,25,15,2,18,6,15,4,8,3,15,8,18,1,8,1,15,1,14,3,15,2,18,4,15,3,14,6,8,2,18,1,14,2,18,1,8,1,9,1,18,1,15,1,14,1,3,3,14,3,18,5,14,3,15,2,8,2,10,1,8,2,15,1,14,3,15,1,8,5,15,3,18,4,8,3,18,5,15,3,18,3,4,3,19,6,4,1104,3,1,16,36,3,1,16,309,3,3,16,9,3,1,4,2,3,11,18,1,4,7,19,7,4,9,19,4,4,5,3,1,16,2,3,2,18,1,4,778,19,8,},
{4,356,19,4,4,2,18,1,8,9,18,2,8,3,10,4,8,4,10,4,8,13,10,2,8,2,18,3,8,1,10,2,8,1,18,1,14,2,18,1,8,9,10,3,8,7,18,4,8,45,15,2,8,4,18,3,8,19,18,4,8,2,10,4,8,3,15,2,8,14,18,1,8,5,18,5,8,35,15,5,8,6,15,6,8,3,15,1,14,1,15,2,18,1,15,1,14,7,15,4,18,1,8,1,18,1,14,3,15,1,8,1,9,1,8,1,15,1,14,1,3,1,16,2,3,1,14,1,18,2,8,3,18,1,14,2,15,3,8,1,9,1,10,1,8,1,15,1,14,4,8,2,9,1,8,2,15,2,14,1,15,2,8,5,15,3,18,6,3,1,18,1,4,3,19,6,4,1102,19,1,4,3,3,1,16,305,3,6,16,35,3,3,16,7,3,1,4,4,19,3,4,13,3,3,4,1,19,3,4,1,19,1,3,9,4,1,19,5,4,1,3,3,16,4,3,3,4,3,19,2,4,1,19,2,4,768,19,8,},
{4,356,19,3,4,2,18,1,8,3,10,4,8,7,10,6,8,1,10,6,8,9,10,2,8,2,10,1,8,11,15,1,18,1,8,6,10,2,8,2,10,3,8,6,18,2,15,4,18,1,8,38,18,1,8,10,18,3,8,18,18,3,8,3,10,4,8,3,15,4,8,13,15,1,8,4,18,5,8,25,15,1,8,11,15,4,8,8,15,4,8,4,18,2,15,2,14,1,3,3,14,1,3,1,14,1,15,1,18,3,15,1,14,2,3,4,15,1,8,1,10,1,9,1,18,1,14,1,3,1,16,2,3,2,14,1,18,2,8,2,18,1,15,2,18,2,8,5,15,2,14,2,15,1,8,1,10,2,8,1,15,1,14,4,15,1,8,5,15,2,18,7,3,1,18,1,4,2,19,6,4,1102,19,4,4,2,3,6,16,298,3,2,18,2,3,1,16,6,3,3,16,28,3,5,16,4,3,2,4,5,19,3,4,6,18,2,4,2,18,1,3,1,16,3,4,2,19,2,4,1,18,1,3,1,16,1,3,2,16,5,3,1,19,6,3,1,16,9,3,1,4,2,19,5,4,769,19,7,},
{4,360,18,1,8,2,10,26,8,9,10,2,8,9,18,4,8,10,10,1,8,4,10,1,8,6,18,6,8,39,18,1,15,1,8,9,18,1,15,1,18,2,8,17,18,3,8,3,10,3,8,4,15,4,8,13,18,2,8,3,18,5,8,24,15,3,8,10,15,5,8,7,15,6,8,1,9,1,8,1,18,1,15,1,14,2,3,3,14,1,3,1,14,1,15,1,18,2,15,1,14,1,3,1,16,4,3,1,18,1,9,1,10,2,8,1,18,1,3,2,16,3,3,2,14,1,18,3,8,5,18,1,15,2,8,2,15,3,8,1,10,3,8,1,14,2,3,1,14,2,15,2,8,5,18,8,3,1,18,1,4,1,19,5,4,1102,3,1,18,1,19,5,4,6,19,1,3,1,16,32,3,1,16,264,3,4,16,7,3,3,16,27,3,5,16,3,3,9,4,2,18,1,3,1,18,1,4,2,18,1,3,6,16,3,3,1,4,1,19,4,4,1,3,2,16,7,3,2,4,2,19,3,3,1,16,3,3,2,16,4,3,1,18,1,4,2,19,3,4,771,19,6,},
{4,360,18,1,8,1,10,4,8,2,10,16,8,4,10,2,8,16,10,2,8,1,14,1,3,2,14,1,18,1,8,1,10,2,8,2,18,1,8,9,10,2,8,49,18,1,15,1,18,1,8,6,18,8,8,21,10,1,8,6,15,4,8,43,18,2,15,5,8,13,15,3,8,6,15,7,8,2,18,1,14,3,3,2,14,4,15,1,18,2,14,1,3,1,16,5,14,1,8,1,9,1,10,2,9,1,8,1,15,1,3,2,16,2,3,2,14,1,15,1,18,2,8,5,15,1,14,1,15,1,8,1,10,1,8,4,10,2,8,1,15,1,14,1,3,2,14,1,15,1,8,1,15,2,8,5,18,3,14,1,18,4,4,1,19,6,4,1102,3,2,19,6,4,6,19,1,3,7,16,25,3,1,16,264,3,2,16,9,3,3,16,28,3,3,16,4,3,4,16,4,3,1,18,2,3,1,16,1,3,9,16,3,3,1,4,1,19,6,18,1,3,11,4,2,19,2,18,1,3,5,16,4,3,2,18,1,4,1,19,4,4,770,19,6,},
{4,360,8,2,10,3,8,3,10,10,8,2,10,4,8,12,18,6,8,4,10,1,8,1,18,1,14,1,3,3,18,1,8,1,10,2,8,2,18,2,8,7,10,3,8,49,18,1,15,1,18,1,8,4,18,10,8,9,10,3,8,7,10,2,8,8,15,2,8,16,18,1,8,21,18,6,15,6,18,5,15,6,8,3,15,3,8,6,15,7,18,1,15,1,14,6,18,2,15,3,14,2,3,2,16,5,14,1,8,1,9,1,10,3,8,1,18,1,14,1,3,2,14,3,15,3,18,1,8,5,18,1,15,2,8,1,10,1,9,1,8,5,15,1,14,1,3,3,14,1,18,1,8,1,15,1,7,2,8,5,18,1,14,1,3,2,18,1,4,3,19,5,4,1105,3,1,19,5,4,5,19,4,4,5,3,1,16,300,3,6,16,40,3,1,18,1,3,1,16,3,3,3,4,3,3,2,16,3,3,1,4,1,19,2,4,1,3,4,18,1,4,7,18,1,3,3,4,1,19,2,4,1,18,1,3,4,16,4,3,3,18,1,4,2,19,2,4,772,19,4,},
{4,359,18,1,8,2,10,1,8,5,10,11,8,17,18,5,8,5,10,1,8,1,18,1,14,1,3,2,14,1,8,1,10,2,8,2,18,2,8,58,10,1,8,2,18,2,8,4,15,1,14,2,18,2,8,2,18,2,8,9,10,6,8,3,10,4,8,8,15,2,8,37,18,1,15,2,18,2,8,1,18,1,15,2,14,2,15,3,18,1,8,2,15,7,8,3,15,4,8,3,15,10,14,5,15,1,18,2,8,1,18,1,15,2,14,4,3,1,16,4,3,1,18,1,8,1,9,1,10,1,9,1,8,1,18,1,14,2,15,7,8,6,18,1,15,1,8,2,10,3,9,1,8,2,18,1,15,1,14,4,15,1,18,1,8,3,7,2,8,4,18,1,14,1,3,2,18,1,4,4,19,2,4,1107,3,2,19,3,4,5,19,5,4,5,3,1,16,298,3,9,16,38,3,4,16,5,3,1,4,3,18,1,3,1,16,3,3,1,4,1,19,1,4,1,3,1,16,4,3,1,4,8,18,1,3,2,18,1,4,3,18,3,3,3,16,4,3,4,4,2,19,1,4,773,19,2,4,1,},
{4,356,18,4,8,1,10,2,8,3,10,5,8,6,10,3,8,5,10,2,8,11,18,1,8,2,10,3,8,2,10,2,8,1,18,1,14,2,8,1,10,3,8,14,18,2,8,14,10,3,8,8,10,3,8,26,18,1,14,4,18,1,8,2,18,2,8,8,10,8,8,1,10,5,8,8,15,2,8,4,15,2,8,10,10,2,8,20,18,1,15,1,18,1,8,3,15,2,14,2,15,3,8,5,15,6,8,2,15,14,8,1,15,2,14,3,3,1,14,2,15,7,18,1,8,2,15,1,3,1,16,3,3,1,14,1,18,1,8,1,10,1,9,1,18,1,14,3,15,4,14,1,15,1,8,7,18,2,8,2,10,3,9,1,8,2,18,1,15,5,18,2,8,3,7,3,15,1,8,2,18,1,14,1,3,2,18,1,4,1105,18,1,3,1,16,3,3,9,18,1,4,3,19,5,4,2,3,5,16,296,3,3,16,8,3,1,16,32,3,1,18,1,3,3,16,1,3,1,16,7,3,2,4,2,3,1,16,4,3,1,4,2,3,1,16,5,3,2,4,10,18,1,3,5,18,3,3,1,16,5,3,4,4,777,},
{4,355,18,3,8,1,10,12,8,6,10,3,8,2,18,1,8,1,10,6,8,10,10,4,8,8,10,4,8,7,10,3,8,4,15,1,18,1,8,14,10,2,8,8,10,4,8,27,15,1,14,2,15,1,18,1,8,12,10,14,8,8,15,2,8,17,10,2,8,12,18,1,8,6,18,1,15,2,18,1,8,3,15,2,14,2,15,2,18,1,8,4,15,25,14,5,15,2,14,2,18,3,8,3,9,1,8,1,14,1,3,1,16,2,3,2,15,1,8,3,18,1,15,4,8,2,18,1,15,1,18,1,8,1,10,1,8,15,18,8,8,4,7,2,14,1,15,2,18,2,3,1,18,2,4,1105,18,1,3,1,16,5,3,2,16,6,3,2,19,4,4,2,3,2,16,301,3,3,16,8,3,2,16,31,3,1,18,1,3,2,16,6,3,1,16,5,18,1,4,1,3,1,16,5,19,1,4,1,3,2,16,5,3,1,18,1,4,9,3,2,16,2,3,2,18,2,3,2,16,7,3,2,18,1,4,776,},
{4,342,19,2,4,9,18,3,10,16,8,2,10,4,8,9,10,3,8,2,10,2,8,2,10,3,8,3,10,2,8,1,18,1,15,2,18,2,8,1,10,6,8,6,10,3,8,28,10,6,8,28,18,4,8,4,18,1,8,6,10,13,8,10,15,4,8,17,10,2,8,9,18,2,8,6,15,6,8,1,15,3,14,2,15,2,8,3,18,1,15,1,8,4,15,4,8,1,15,1,14,3,15,8,14,3,15,2,18,1,15,1,18,3,14,1,15,1,8,1,9,2,8,2,18,1,15,1,14,2,3,4,14,1,15,1,18,1,15,1,18,1,8,21,15,1,14,3,18,1,8,2,18,1,15,3,18,3,8,6,7,1,14,2,15,1,18,4,4,1098,3,3,18,1,4,5,3,1,16,14,3,1,4,2,18,1,3,2,16,314,3,3,16,39,3,3,16,4,3,1,16,7,3,2,4,2,3,1,16,4,3,4,16,2,3,2,18,1,4,2,3,8,16,10,3,1,4,777,},
{4,342,19,5,4,5,18,3,8,1,10,22,8,10,10,2,8,2,10,2,8,2,10,3,8,6,18,1,15,2,18,1,8,1,10,4,8,2,10,1,8,6,10,2,8,8,10,1,8,19,10,6,8,22,10,1,8,21,10,7,8,1,10,5,8,3,18,1,8,6,15,5,8,17,10,2,8,12,15,10,8,2,15,9,18,1,8,5,15,1,14,2,15,4,14,2,15,7,14,4,15,1,18,1,8,3,18,1,15,1,14,2,8,1,10,2,8,1,18,1,14,4,3,3,14,1,18,3,15,2,8,19,18,1,15,1,14,1,3,2,14,1,18,1,8,2,18,1,14,3,18,3,8,1,7,1,8,2,10,1,8,1,15,1,14,3,18,4,4,1097,3,1,16,3,3,3,18,1,4,2,18,1,3,1,16,8,3,3,16,2,3,1,18,2,3,1,16,4,3,1,16,304,3,2,16,6,3,2,16,39,3,1,16,11,3,1,16,3,3,1,4,2,18,1,3,1,16,11,3,1,18,1,4,1,3,12,16,2,3,4,4,778,},
{4,339,19,8,4,2,10,1,18,6,8,1,10,8,8,3,10,11,8,3,10,3,8,6,10,4,8,13,10,5,8,9,10,1,8,28,10,3,8,27,10,1,8,22,10,5,8,3,10,4,8,3,18,2,8,6,15,4,8,31,15,9,8,3,15,2,8,2,18,1,15,4,18,1,8,4,15,2,14,3,15,5,8,1,15,4,14,6,18,2,8,2,18,1,15,1,14,1,3,2,15,1,8,2,15,1,14,1,3,1,14,4,3,1,14,1,15,1,8,3,18,2,8,1,18,3,8,7,15,2,14,3,15,1,18,1,8,1,15,1,14,1,3,2,14,1,15,1,18,1,8,1,18,1,14,4,18,3,15,1,8,4,7,2,14,3,18,3,4,2,19,2,4,1094,3,1,16,6,3,1,18,1,4,1,18,1,3,2,16,5,3,1,4,3,18,1,3,6,16,2,3,4,16,363,3,4,16,1,3,1,4,3,18,1,3,1,16,10,3,1,18,3,3,2,16,1,3,2,18,2,4,4,3,1,16,1,3,2,18,1,4,779,},
{4,337,19,10,4,1,18,1,8,1,18,8,8,3,10,3,8,5,10,9,8,4,10,4,8,4,10,6,8,4,18,3,8,4,10,6,8,8,10,1,8,8,10,1,8,15,10,6,8,48,18,3,8,2,10,4,8,4,10,3,8,12,15,3,8,10,15,2,8,12,18,1,15,1,8,5,15,8,8,4,15,2,8,3,15,4,8,3,15,9,8,4,15,3,14,6,15,1,18,4,15,2,14,1,3,2,15,1,18,2,14,1,3,2,14,6,18,1,8,4,18,2,15,3,8,7,15,2,14,4,18,1,8,1,15,1,3,3,14,1,15,1,18,2,15,1,14,3,15,1,18,3,15,1,8,2,7,3,15,3,18,3,4,2,19,3,4,1094,3,1,16,8,3,10,4,3,18,1,3,3,16,5,3,4,16,5,3,3,16,353,3,9,18,1,4,1,18,1,3,1,16,11,3,1,18,2,3,1,16,2,3,2,18,1,10,1,4,4,18,3,4,781,},
{4,336,19,9,4,3,18,11,8,2,10,3,8,7,10,5,8,8,10,2,8,4,10,6,8,2,10,1,8,1,18,3,8,5,10,2,8,4,10,2,8,31,10,4,8,48,18,4,8,24,15,3,8,7,15,3,8,2,15,1,8,11,18,1,15,2,8,6,15,7,8,4,15,2,18,2,15,3,18,1,8,2,15,2,14,3,15,2,8,7,15,8,14,2,15,2,18,2,15,3,14,3,15,1,8,1,18,1,15,1,14,2,15,3,14,2,15,3,18,2,8,1,18,1,15,2,14,1,15,1,8,8,15,5,18,1,8,1,18,1,3,3,14,2,18,2,15,1,14,2,15,1,18,1,8,2,15,2,8,2,7,1,14,2,15,1,18,4,4,2,19,4,4,1036,18,1,3,1,4,6,18,2,4,48,3,1,16,10,3,1,18,1,4,4,18,1,3,5,16,17,3,3,16,295,3,2,16,55,3,13,16,7,3,1,16,3,3,8,18,2,10,1,18,2,4,4,19,3,4,779,},
{4,336,19,7,4,3,18,4,8,1,18,7,8,3,10,3,8,7,10,4,8,11,10,1,8,4,10,1,8,2,10,2,8,2,10,1,8,1,18,1,14,1,18,1,8,2,10,4,8,4,10,3,8,10,10,3,8,70,18,2,8,4,18,2,8,5,18,1,8,14,15,1,8,8,15,2,8,16,18,1,15,2,8,10,15,3,8,5,15,5,18,1,8,3,15,1,14,4,15,2,8,6,15,2,14,1,15,3,8,3,15,6,14,1,15,2,18,1,15,1,18,1,8,3,15,3,18,1,8,1,18,1,15,3,14,4,15,1,18,1,15,1,14,2,15,1,8,10,18,5,14,1,3,4,14,1,15,2,18,1,15,2,8,4,15,1,14,1,15,1,8,1,7,1,14,1,15,2,18,3,4,3,19,4,4,1036,3,1,16,1,3,1,4,4,18,1,3,2,4,47,3,2,16,11,3,1,4,5,3,1,16,21,3,2,16,296,3,2,16,54,3,4,16,2,3,4,16,10,3,2,16,5,3,1,16,1,3,3,18,4,3,3,18,1,4,1,19,4,4,779,},
{4,336,19,6,4,3,18,4,8,3,18,5,10,1,8,3,10,4,8,5,10,7,8,2,10,4,8,3,10,3,8,3,18,1,8,2,10,4,8,1,18,1,14,1,18,1,8,1,10,6,8,4,10,2,8,9,10,4,8,8,18,2,8,60,18,1,8,4,18,4,8,8,10,2,8,26,18,2,8,4,18,1,15,3,18,1,8,13,15,2,8,5,15,5,8,4,15,1,14,4,15,2,8,1,15,6,14,2,15,2,8,5,15,3,14,4,8,4,9,2,8,7,18,2,15,1,14,1,3,2,14,1,15,3,14,2,15,2,8,10,18,1,15,1,14,2,3,5,14,1,15,1,18,2,8,6,15,3,7,3,15,1,18,3,4,2,19,6,4,1036,3,1,16,1,3,1,4,3,3,2,16,2,4,3,19,4,4,38,3,3,16,13,3,1,4,4,3,1,16,375,3,2,16,28,3,1,18,3,3,8,4,5,18,1,4,3,19,2,4,1,19,1,4,549,19,5,4,215,},
{4,336,19,6,4,2,18,5,8,1,10,2,18,5,10,3,8,3,10,5,8,2,10,13,8,3,10,3,8,2,18,3,8,1,10,4,8,1,18,2,8,1,10,13,8,9,10,2,8,10,18,1,8,17,10,2,8,8,10,2,8,14,18,1,8,17,18,1,8,5,18,3,8,7,10,3,8,26,18,2,8,4,15,4,8,14,15,2,8,6,15,3,18,1,8,3,18,1,15,3,14,8,15,6,8,7,15,2,14,4,8,1,10,1,9,1,10,2,8,2,18,1,8,7,15,1,14,1,3,3,15,1,8,1,15,2,14,2,15,1,8,1,15,2,8,7,18,1,14,1,3,4,14,1,3,1,14,2,15,1,18,1,8,6,18,1,15,6,18,3,4,3,19,5,4,1009,18,1,3,1,19,1,4,11,19,1,3,4,18,1,19,1,4,6,19,1,3,1,16,2,3,1,18,1,3,2,16,3,3,1,4,2,19,5,4,36,3,1,16,17,3,1,4,3,18,1,3,1,16,374,3,2,16,28,3,1,18,3,3,3,16,5,3,6,18,1,4,1,19,6,4,548,19,6,4,214,},
{4,336,19,6,4,2,18,7,4,7,10,2,8,4,10,4,8,6,10,7,8,5,10,3,8,2,18,3,8,2,10,2,8,5,10,1,8,5,10,6,8,7,10,1,8,8,10,3,8,20,10,3,8,8,10,3,8,31,18,1,8,5,18,3,8,7,10,2,8,3,18,2,8,28,15,4,8,15,15,1,8,10,18,1,15,5,8,1,15,2,14,2,3,1,16,2,14,2,15,1,8,11,15,3,14,2,15,1,8,6,15,1,14,2,15,1,8,3,9,1,10,1,8,1,14,1,3,2,14,1,18,1,8,2,15,1,14,2,15,5,8,5,18,1,15,1,14,1,3,4,14,3,15,1,18,1,8,3,15,8,14,1,15,1,18,4,4,998,18,2,3,8,18,4,3,9,4,2,18,1,3,8,16,2,3,5,4,4,3,3,16,3,3,2,16,4,3,2,4,2,19,4,4,35,3,2,16,18,3,2,4,2,19,1,18,1,3,1,16,391,3,2,16,9,3,1,18,3,3,3,16,6,3,5,4,2,19,8,4,546,19,6,4,214,},
{4,336,19,5,4,3,18,5,4,10,10,1,8,2,10,5,8,2,18,5,8,14,10,1,8,1,18,3,8,8,10,3,8,1,18,1,14,2,18,1,8,1,10,5,8,15,10,5,8,19,10,3,8,41,18,3,8,18,18,4,8,28,15,2,8,16,15,1,8,10,18,1,15,4,8,3,15,1,14,2,16,3,3,1,14,1,15,1,8,10,15,3,18,2,15,2,8,5,15,1,14,1,3,2,14,1,15,1,8,1,9,1,10,2,8,1,14,4,8,1,9,1,8,1,18,1,14,2,15,1,8,2,15,2,8,5,18,1,15,1,14,1,3,4,14,2,15,1,18,4,15,2,14,1,15,5,14,1,18,5,4,997,18,1,3,3,16,9,3,3,16,8,3,1,18,1,4,1,3,1,16,14,3,1,4,3,18,1,3,1,16,13,3,1,19,4,4,35,3,1,16,22,3,1,4,1,19,1,4,1,19,1,3,1,16,391,3,1,16,8,3,2,18,3,3,3,16,9,3,2,4,2,19,8,4,546,19,6,4,214,},
{4,336,19,3,4,13,19,4,4,4,10,5,8,3,18,12,8,7,18,1,8,2,18,2,8,8,10,3,8,1,18,1,14,2,3,1,14,1,18,1,8,1,10,6,8,13,10,9,8,59,18,1,14,2,18,1,8,7,18,1,15,2,18,1,8,7,18,2,8,47,15,2,8,10,15,4,8,4,14,2,16,3,14,2,15,1,8,8,15,4,18,1,8,2,18,4,15,3,14,1,3,2,16,1,3,1,15,1,8,1,10,3,9,1,15,1,14,2,15,1,8,1,10,1,8,2,15,2,8,9,18,3,15,1,14,5,15,1,18,3,15,3,14,1,15,4,14,1,15,2,18,5,4,993,18,1,3,4,16,24,3,2,16,15,3,1,4,2,18,1,3,1,16,15,3,2,18,1,4,2,19,2,4,31,3,1,16,23,3,2,4,1,19,2,3,1,16,392,3,1,16,3,3,3,18,2,3,1,18,2,9,1,18,1,3,2,16,9,3,1,18,1,4,2,19,8,4,547,19,5,4,214,},
{4,336,19,2,4,8,19,3,4,3,19,5,4,3,10,6,8,2,18,3,14,2,18,9,8,4,18,1,14,1,18,3,8,1,10,2,8,7,10,3,8,1,15,1,14,3,18,1,8,2,10,6,8,16,10,6,8,25,18,2,8,30,18,2,14,4,18,1,8,5,18,1,14,2,18,1,8,13,15,2,8,19,15,2,8,20,15,1,8,11,15,5,8,2,15,1,14,2,3,2,14,3,15,2,8,7,15,4,8,4,18,2,15,2,14,3,3,1,16,2,3,1,15,1,9,1,10,3,8,2,15,3,8,1,9,2,8,1,18,2,8,9,18,5,8,1,18,1,15,2,18,4,15,1,14,2,15,5,14,2,18,3,4,994,18,1,3,1,16,46,3,1,4,2,3,1,16,19,3,1,4,1,19,2,4,4,3,4,4,22,3,1,16,26,3,1,19,2,4,1,3,1,16,391,3,6,18,3,3,1,18,1,10,3,3,1,16,2,3,3,16,5,3,1,4,4,19,6,4,3,18,2,4,543,19,4,4,215,},
{4,343,19,15,4,2,10,7,8,2,18,6,8,3,18,3,8,5,18,3,8,3,10,2,8,8,10,3,8,1,18,3,8,4,10,5,8,3,15,2,8,12,10,5,8,25,15,1,18,1,8,30,18,3,14,3,18,2,8,4,18,1,14,1,15,1,18,1,8,3,10,7,8,3,15,2,8,14,18,2,8,2,15,3,8,6,15,2,8,19,18,1,8,4,18,1,15,1,14,2,15,5,14,6,15,5,8,5,15,2,8,5,15,4,14,3,3,3,14,1,15,1,9,1,10,1,9,1,8,3,15,2,18,1,8,14,18,4,8,2,9,1,8,1,18,5,15,5,8,2,15,2,14,2,18,3,4,3,19,2,4,986,18,1,3,3,16,46,3,1,18,1,4,1,19,1,3,1,16,7,3,2,16,11,3,1,19,3,3,3,16,4,3,2,18,1,4,18,3,2,16,27,18,1,4,2,19,1,16,391,3,10,18,1,10,2,9,1,3,1,16,2,3,1,18,1,3,1,16,4,3,2,4,5,19,6,4,2,18,1,3,1,18,1,4,539,19,5,4,217,},
{4,342,19,16,4,2,10,9,8,1,18,4,8,4,18,1,14,1,15,1,8,9,10,3,8,2,18,3,8,4,10,3,8,8,10,4,8,4,18,1,15,1,8,4,10,2,8,8,10,1,8,1,10,2,8,24,18,1,8,30,18,1,8,3,18,1,14,2,15,1,18,1,8,4,18,2,8,10,10,3,8,3,15,1,8,14,18,2,8,3,15,1,8,27,15,1,8,5,15,2,14,9,15,12,8,8,15,1,14,1,15,1,18,1,15,1,14,2,3,3,14,1,15,1,18,1,8,3,18,2,8,4,15,1,18,1,8,18,9,1,8,1,18,5,15,3,18,1,15,4,14,1,15,1,18,3,4,3,19,3,4,985,3,1,16,31,3,1,16,17,3,1,18,1,4,1,19,2,3,1,16,6,3,3,16,11,3,1,19,2,3,1,16,9,3,1,18,1,4,16,3,2,16,28,3,1,18,1,4,2,3,1,16,399,3,2,18,3,3,3,18,2,3,6,18,1,4,6,19,4,4,3,3,3,18,1,4,538,19,5,4,217,},
{4,342,19,16,4,4,18,3,4,2,10,3,8,1,18,2,8,2,10,2,8,1,18,1,14,2,8,5,10,6,8,1,18,6,8,2,10,2,8,3,18,1,8,6,10,3,8,11,10,1,8,12,10,4,8,42,10,4,8,3,18,4,8,4,18,1,15,2,18,1,8,14,18,2,8,20,18,4,8,29,15,2,8,4,15,1,14,12,15,4,8,3,15,5,8,5,18,1,15,1,14,2,15,1,8,1,18,1,14,2,3,3,15,1,8,2,18,1,8,1,18,1,15,2,8,1,10,2,8,1,15,3,8,12,9,2,8,2,18,9,8,3,15,1,14,4,18,3,4,3,19,4,4,983,3,2,16,49,3,1,4,1,19,3,4,1,3,1,16,5,3,2,16,13,3,1,4,2,3,1,16,10,3,2,4,14,18,1,3,1,16,30,18,1,4,2,3,1,16,400,3,4,18,2,3,7,18,2,4,14,3,4,4,11,19,1,4,526,19,5,4,6,19,4,4,207,},
{4,342,19,15,4,11,10,3,8,3,10,2,8,2,18,1,14,1,18,1,8,2,10,1,8,1,10,6,8,2,18,5,8,3,10,2,8,10,10,3,8,24,10,5,8,42,10,3,8,3,18,4,8,2,10,1,8,10,10,2,8,4,18,5,8,22,18,1,8,30,15,1,8,4,15,2,14,12,15,3,8,5,15,4,8,5,15,1,14,3,15,1,8,2,15,1,14,1,3,2,14,1,8,3,18,2,15,2,18,1,8,1,10,2,8,1,15,2,18,2,8,6,18,2,8,3,9,3,8,1,18,8,8,4,15,1,14,4,18,1,4,5,19,3,4,983,3,1,16,50,3,1,4,2,19,2,4,1,19,1,3,1,16,20,3,1,18,1,3,1,16,13,3,1,4,13,3,1,16,31,3,1,4,2,3,1,16,403,3,1,18,3,3,4,18,1,4,12,18,4,3,5,18,1,4,9,19,5,4,523,19,6,4,4,19,6,4,5,19,6,4,195,},
{4,343,19,13,4,4,19,4,4,6,10,4,8,8,10,7,8,9,10,2,8,3,10,1,8,9,10,2,8,10,10,2,8,6,10,2,8,14,18,1,8,50,10,3,8,9,18,2,8,2,18,2,14,1,18,1,8,1,10,3,8,1,18,1,15,1,18,1,8,3,15,3,8,24,15,3,8,4,15,4,8,5,15,2,8,1,15,1,14,13,15,7,8,3,15,5,8,3,15,3,14,1,15,2,8,1,15,2,14,4,15,1,8,20,15,1,14,2,18,4,9,2,18,5,8,6,15,3,14,4,18,1,4,5,19,2,4,984,3,1,16,16,3,1,16,19,3,1,16,13,3,1,19,2,4,2,3,1,16,3,3,3,16,32,3,1,4,12,3,1,16,33,3,1,18,2,3,1,16,402,3,4,4,3,18,2,4,2,19,2,4,8,18,3,3,1,16,2,3,2,18,4,4,2,18,3,4,2,19,5,4,524,19,2,4,2,19,11,4,4,19,9,4,193,},
{4,354,19,1,4,5,19,7,4,3,10,4,8,9,10,5,8,5,10,3,8,2,10,2,8,9,10,3,8,11,10,4,8,6,10,4,8,11,18,3,8,49,10,4,8,4,10,1,8,3,18,2,8,1,18,4,8,1,10,3,8,1,18,1,15,1,8,2,10,1,8,2,15,3,18,1,8,1,10,3,8,3,10,1,8,14,15,5,8,3,18,1,15,3,18,1,8,4,15,3,14,6,15,2,14,7,15,6,8,5,15,5,8,2,15,7,14,4,15,3,8,18,15,1,14,1,3,1,14,1,18,5,9,1,18,4,8,7,15,4,18,4,4,990,18,1,16,17,3,1,16,19,3,1,16,13,3,1,19,1,4,2,3,1,16,4,3,2,16,33,3,1,4,12,3,1,16,34,3,3,16,402,3,4,4,6,19,3,4,5,18,2,3,4,16,2,3,1,14,1,15,1,8,1,15,1,18,5,3,2,18,2,4,1,19,5,4,527,19,11,4,4,19,10,4,192,},
{4,360,19,9,4,2,18,3,8,11,10,4,8,4,10,3,8,4,10,2,8,6,10,4,8,11,10,4,8,69,18,4,8,10,18,2,8,2,18,4,8,1,10,3,8,1,14,2,15,1,10,4,8,2,18,2,8,3,10,2,8,1,10,4,8,29,15,2,14,18,15,1,14,1,7,2,15,1,8,5,15,5,8,2,15,2,14,9,15,2,8,1,18,2,15,2,18,1,8,13,14,3,18,2,9,2,18,5,8,2,18,1,15,1,8,8,18,4,4,991,18,1,16,50,3,6,16,39,3,1,4,10,18,1,3,1,16,439,3,2,18,4,4,5,19,3,4,1,18,1,3,1,18,2,3,2,16,5,14,1,8,1,10,1,9,1,8,1,15,2,8,2,18,3,3,5,4,2,19,2,4,527,19,11,4,4,19,10,4,192,},
{4,360,19,9,4,3,18,3,8,1,10,2,8,8,10,2,8,4,10,4,8,4,10,2,8,2,18,1,8,3,10,3,8,101,10,2,8,1,18,2,8,1,10,4,8,1,14,2,18,1,10,4,8,10,10,4,8,27,15,4,14,2,3,1,14,8,15,3,14,7,15,2,8,6,15,4,8,2,15,2,14,9,15,2,8,1,15,6,18,2,8,10,14,2,18,1,8,2,9,2,18,4,8,3,18,1,15,2,8,7,18,3,4,992,3,1,16,50,3,1,16,5,3,1,16,38,3,1,4,10,3,1,16,440,3,7,4,4,19,3,4,1,18,4,3,2,16,5,18,1,10,2,9,1,18,1,15,1,14,1,15,1,18,1,15,1,18,3,3,2,16,1,3,1,4,2,19,2,4,527,19,6,4,9,19,10,4,192,},
{4,360,19,10,4,3,18,2,10,2,8,5,10,1,8,11,10,4,8,1,10,3,8,4,10,3,8,96,10,4,8,3,10,12,8,1,10,5,8,11,10,2,8,13,15,1,8,1,15,6,8,4,15,4,14,4,3,2,14,8,15,4,14,5,15,3,8,7,15,3,8,2,15,8,14,3,15,3,8,2,15,5,18,3,8,6,18,1,15,2,18,1,8,5,18,3,8,3,18,1,15,5,8,5,18,3,4,990,18,1,3,2,16,25,3,1,16,28,3,3,16,38,3,1,4,10,3,1,16,445,3,5,18,1,4,1,19,2,4,4,18,4,3,1,16,3,3,1,14,1,18,2,15,1,14,5,15,1,9,2,18,1,3,3,4,532,19,5,4,9,19,10,4,192,},
{4,361,19,10,4,5,18,4,10,4,18,6,8,6,10,6,8,2,10,5,8,2,18,1,8,3,10,1,8,46,10,1,8,34,10,5,8,1,10,5,8,2,10,16,8,19,15,25,14,9,15,1,14,10,15,2,14,2,15,3,8,1,15,1,8,7,15,2,8,2,15,5,8,3,15,6,8,3,15,6,18,1,8,4,18,2,15,1,8,3,10,2,8,1,18,5,8,3,18,1,15,6,8,2,18,4,4,989,18,1,3,3,16,31,3,1,16,63,3,1,18,1,4,10,18,1,3,7,16,443,3,1,4,2,19,2,4,3,18,2,10,2,9,1,18,1,3,5,14,8,18,1,9,1,18,3,4,533,19,6,4,8,19,9,4,193,},
{4,183,19,1,4,180,19,10,4,3,18,1,4,6,18,2,8,17,10,6,8,1,18,3,8,2,10,2,8,13,10,1,8,66,10,6,8,1,10,1,8,5,10,11,8,22,15,8,8,11,15,8,14,4,15,4,8,2,15,3,14,4,17,1,16,1,14,2,15,5,8,1,15,4,8,5,15,2,8,1,15,4,8,6,15,5,8,5,15,4,18,1,8,9,10,3,8,1,18,4,8,1,10,2,8,1,18,1,15,3,8,1,15,3,18,5,4,981,3,9,16,98,3,1,18,1,4,18,3,1,16,442,3,1,18,1,4,6,18,4,9,1,10,2,18,1,15,1,14,4,15,2,14,2,3,1,14,2,18,3,4,534,19,11,4,4,19,7,4,194,},
{4,364,19,12,4,10,18,1,10,1,8,1,10,2,8,12,10,5,8,2,18,3,8,3,10,2,8,58,10,1,8,20,10,5,8,8,10,11,8,1,18,2,8,17,18,1,15,9,8,12,15,3,8,1,15,3,14,3,15,3,8,5,15,3,14,2,16,4,14,1,15,4,8,2,15,5,8,9,15,2,8,7,15,4,8,6,15,2,8,1,18,1,8,13,18,4,8,5,15,2,8,3,15,2,18,2,4,983,3,1,16,18,3,1,16,89,18,1,4,18,18,1,3,3,16,439,3,2,18,1,4,2,18,5,3,4,18,2,8,1,18,2,8,2,18,1,15,1,14,1,3,1,14,2,3,1,18,2,4,535,19,11,4,4,19,7,4,194,},
{4,364,19,12,4,1,19,5,4,6,10,7,8,5,18,1,8,2,10,4,8,9,10,3,8,29,18,3,8,23,10,4,8,19,10,5,8,5,18,2,8,2,10,10,18,1,15,1,14,1,18,1,8,1,10,1,8,14,15,8,8,13,15,4,8,2,15,3,14,1,15,2,8,1,15,2,14,1,15,3,8,3,15,1,14,1,17,1,16,2,17,1,14,1,15,3,8,3,15,5,8,10,15,4,8,26,15,1,14,3,15,1,8,1,18,5,8,3,15,2,8,3,18,1,15,1,18,2,4,983,3,1,16,69,3,4,16,35,3,1,4,10,3,9,18,1,4,2,3,1,16,440,3,1,16,3,3,5,16,4,3,1,18,2,10,3,18,1,14,1,3,2,14,1,15,1,14,1,18,2,4,1,19,6,4,528,19,11,4,5,19,4,4,196,},
{4,367,19,16,4,6,10,6,8,4,18,3,8,1,10,2,8,9,15,1,8,2,10,2,8,29,18,2,8,23,10,4,8,18,10,6,8,10,10,1,8,3,10,5,8,1,15,1,14,1,15,1,8,18,15,10,8,1,15,1,8,7,15,5,8,3,15,5,8,1,15,2,14,2,15,4,8,2,15,1,14,1,16,3,14,3,15,9,8,10,15,5,8,23,10,1,8,1,15,1,14,1,3,2,14,1,8,1,18,1,15,3,14,1,15,1,8,2,15,2,8,3,18,4,4,982,18,1,3,1,16,69,3,1,18,2,3,1,16,35,3,1,4,9,19,1,3,1,16,8,18,1,4,3,18,1,3,2,16,444,3,2,16,5,14,2,9,1,10,2,14,1,16,2,3,1,14,1,18,3,4,2,19,6,4,529,19,10,4,5,19,4,4,196,},
{4,372,19,12,4,10,18,1,8,5,18,2,8,1,10,3,8,11,10,2,8,15,10,2,8,38,10,3,8,12,10,3,8,3,10,5,8,12,18,2,8,1,10,4,8,1,14,3,18,1,8,2,15,2,8,15,15,12,8,5,15,6,8,4,15,15,14,1,17,1,16,5,14,1,15,8,8,31,18,1,8,7,10,1,8,1,15,1,14,1,3,2,14,1,15,5,14,2,15,2,14,2,8,3,18,3,4,981,18,1,3,2,16,70,3,3,16,36,3,1,4,8,18,1,3,1,16,10,3,1,18,1,4,1,19,3,3,1,16,423,3,2,16,6,3,5,16,7,3,4,16,3,3,3,18,1,15,1,16,4,3,1,18,3,4,2,19,6,4,534,19,6,4,3,19,5,4,196,},
{4,373,19,12,4,9,18,4,8,5,10,3,8,11,10,1,8,15,10,5,8,51,10,10,8,2,18,2,8,8,18,4,8,1,10,1,8,2,18,1,14,2,18,1,8,3,15,2,8,16,15,9,8,7,15,5,8,7,15,4,8,2,15,4,14,5,16,5,14,1,15,1,14,1,15,4,8,33,15,1,8,4,15,2,8,1,10,1,8,2,14,3,15,2,14,2,15,2,14,6,18,1,8,2,18,2,4,980,19,1,3,2,16,65,3,1,16,44,3,1,4,9,3,1,16,12,3,1,19,3,4,1,18,1,3,1,16,421,3,3,16,6,3,1,18,1,3,5,16,5,3,2,18,1,3,2,16,1,3,7,16,3,14,1,18,3,4,3,19,5,4,534,19,6,4,3,19,5,4,196,},
{4,174,3,2,4,205,19,5,4,9,18,4,8,3,10,4,8,7,10,3,8,17,10,5,8,53,10,1,8,1,10,5,8,2,18,3,8,7,18,7,8,57,15,5,14,11,16,1,17,1,14,1,15,1,14,2,15,3,8,36,15,4,8,2,10,1,8,2,15,6,8,3,15,1,14,3,15,1,18,3,4,4,19,3,4,974,3,2,16,48,3,1,16,17,3,1,16,45,3,1,4,9,3,1,16,13,3,3,18,1,4,1,18,1,3,1,16,3,3,2,16,424,3,9,16,4,3,5,18,3,3,3,14,2,3,2,18,2,14,1,18,1,4,4,19,4,4,534,19,6,4,2,19,6,4,196,},
{4,173,3,2,18,1,4,208,19,2,4,5,19,1,4,4,18,3,10,6,8,8,10,3,8,18,10,4,8,21,18,3,8,31,10,5,8,1,18,3,8,7,18,1,14,1,15,1,8,2,18,1,14,1,18,2,8,1,10,4,8,8,15,3,8,5,15,4,8,31,15,4,14,5,3,1,17,1,14,7,15,7,8,10,15,1,8,25,15,4,8,15,14,3,18,1,8,1,10,1,4,4,19,4,4,973,3,1,16,50,3,1,16,63,18,1,4,8,19,1,16,17,3,4,16,428,3,6,16,1,3,3,16,4,3,5,18,1,9,1,18,1,3,2,14,1,18,1,9,1,18,1,15,1,18,2,3,2,18,2,4,3,19,3,4,535,19,4,4,4,19,4,4,197,},
{4,171,18,1,3,1,18,1,4,216,19,5,4,4,10,5,8,2,15,1,8,4,10,5,8,20,10,1,8,9,18,1,8,6,18,1,8,1,18,1,8,1,18,7,8,4,10,3,8,23,10,4,8,7,18,4,15,1,14,1,15,1,8,1,18,2,14,1,18,1,8,2,10,3,8,8,15,4,8,5,15,13,8,14,15,3,8,4,15,5,14,6,16,1,14,2,15,5,8,2,15,5,8,15,15,5,8,18,15,7,8,6,15,1,14,1,15,2,14,1,15,1,8,3,10,1,4,3,19,5,4,972,18,1,3,1,16,49,3,3,16,61,3,1,4,9,3,1,16,436,3,2,16,4,3,1,16,5,3,5,16,10,3,3,16,2,3,4,14,1,18,3,15,2,18,2,3,3,18,2,4,749,},
{4,171,18,2,4,217,19,6,4,4,10,3,8,1,18,3,8,4,10,1,8,34,18,2,8,3,18,12,8,5,10,3,8,24,10,3,8,7,18,1,15,5,18,6,8,2,10,3,8,8,15,4,8,5,15,16,8,11,15,12,14,9,15,1,8,6,15,10,8,10,15,6,8,5,15,5,8,7,15,5,14,1,15,1,8,6,14,2,15,3,8,2,10,2,18,1,4,3,19,5,4,972,3,1,16,35,3,1,16,5,3,1,16,8,3,1,16,63,3,1,4,9,18,1,16,435,3,4,16,7,3,2,18,1,4,1,18,1,3,2,16,9,3,3,16,3,3,4,18,1,9,1,18,3,3,8,18,1,4,748,},
{4,390,19,8,4,2,10,1,18,4,8,3,10,1,8,29,10,2,8,2,18,1,8,3,18,3,8,3,18,6,8,5,10,5,8,28,10,2,8,8,15,1,14,2,15,1,18,1,8,1,18,1,8,6,10,3,8,11,15,1,8,1,15,1,8,1,15,17,8,1,15,3,7,1,15,4,8,5,15,10,14,1,3,2,14,6,15,5,8,2,15,1,14,2,15,3,14,3,15,1,8,14,15,2,8,4,15,8,8,2,15,10,8,3,15,8,8,1,10,2,4,5,19,4,4,973,3,1,16,35,3,2,16,3,3,2,16,7,3,1,16,64,3,1,4,10,3,1,16,435,3,6,16,3,3,2,4,4,3,3,16,4,3,6,16,3,3,6,18,1,9,1,18,1,3,6,18,1,3,3,18,1,4,747,},
{4,391,19,7,4,2,18,5,8,2,10,2,8,4,15,1,8,24,10,2,8,2,18,1,8,3,18,3,8,3,18,6,8,4,10,5,8,29,10,2,8,8,18,4,8,4,10,2,8,4,10,1,8,13,15,6,8,3,15,10,8,2,15,3,14,1,15,4,8,6,15,8,14,6,15,11,14,2,15,4,14,3,15,1,8,19,15,10,8,1,15,16,8,6,10,2,4,5,19,3,4,974,3,1,16,35,3,2,16,2,3,2,16,72,3,1,4,12,3,1,16,437,3,3,16,3,3,2,4,3,18,1,3,3,16,2,3,8,16,3,3,2,18,3,3,2,18,2,3,1,16,4,3,3,16,2,3,1,18,1,4,746,},
{4,167,19,1,18,1,4,223,19,7,4,2,18,5,8,25,10,4,8,3,10,2,8,2,18,1,8,3,18,2,8,4,18,2,8,2,18,1,8,10,18,2,15,1,18,1,8,43,10,2,8,20,15,2,8,6,15,8,8,3,15,3,7,1,15,1,8,10,15,5,14,6,15,5,8,3,15,1,14,2,15,8,14,2,15,1,8,6,15,1,8,15,15,3,8,9,15,1,8,1,15,2,14,1,15,7,8,7,10,2,4,982,3,1,16,5,3,2,16,28,3,2,16,39,3,1,16,35,3,1,18,1,4,13,3,2,16,442,3,1,18,1,4,2,3,10,16,7,3,1,18,1,4,3,3,2,18,2,3,1,16,5,3,3,16,2,3,1,4,3,19,1,4,742,},
{4,392,19,8,4,6,18,3,8,22,10,4,8,4,10,1,8,7,18,1,8,4,18,2,8,4,10,2,8,2,18,2,8,2,18,1,15,1,14,2,18,1,8,7,18,1,8,15,10,2,8,10,10,3,8,1,18,1,8,2,10,3,8,6,15,2,8,21,15,8,8,4,15,3,8,6,15,8,14,7,15,3,8,5,15,10,14,3,15,1,8,5,15,2,8,2,15,1,8,12,15,1,8,14,15,7,8,9,18,2,4,982,3,1,16,5,3,3,16,27,3,2,16,39,3,1,16,35,3,1,4,15,18,2,3,2,16,435,3,2,16,2,3,2,18,1,3,2,16,1,3,8,16,2,3,5,18,1,4,4,18,3,3,2,16,5,3,4,16,1,3,1,4,2,19,3,4,741,},
{4,392,19,9,4,5,18,4,8,5,18,1,8,15,10,2,8,14,18,2,15,4,18,1,8,4,10,2,8,1,18,3,8,3,18,3,8,2,10,4,8,34,18,1,8,1,10,4,8,3,18,3,15,3,8,3,15,7,8,9,15,11,8,3,15,3,8,1,15,1,18,9,15,1,14,1,3,2,18,1,15,1,14,3,15,1,18,1,8,2,18,1,14,3,15,1,8,3,15,4,14,5,15,8,8,1,15,3,8,2,15,2,8,2,15,4,8,31,18,2,4,983,18,1,3,1,16,5,3,1,16,97,3,1,16,7,3,1,4,18,18,1,3,1,16,425,3,1,16,8,3,20,18,1,4,7,18,2,4,2,18,1,3,1,16,6,3,2,18,2,3,2,4,1,19,4,4,12,19,4,4,725,},
{4,393,19,9,4,4,18,4,8,4,18,2,8,20,18,2,8,9,18,1,15,4,14,2,18,1,8,3,10,2,8,2,18,1,8,2,10,1,8,5,10,4,8,26,10,2,8,5,18,3,8,1,10,4,8,3,18,3,15,16,8,1,15,2,8,3,15,10,8,5,15,5,18,10,3,1,18,4,14,2,18,2,8,2,18,1,14,3,15,1,10,2,8,1,15,3,14,5,15,4,14,3,15,1,8,3,15,2,8,2,15,2,8,2,15,5,8,4,15,5,8,19,18,4,4,983,18,1,3,1,16,110,3,1,18,1,4,20,3,2,16,433,3,2,18,1,3,3,16,3,3,4,16,2,3,4,4,7,18,1,3,2,4,2,18,1,3,1,16,5,3,2,18,1,4,4,19,4,4,12,19,6,4,724,},
{4,396,19,6,4,4,18,1,3,2,18,2,8,4,18,1,8,20,18,3,8,8,18,1,8,1,15,3,14,4,15,1,8,2,10,2,8,3,10,7,8,29,10,4,8,1,18,5,8,2,10,4,8,5,18,1,15,32,8,5,15,6,18,2,14,2,3,1,18,14,8,2,18,1,15,2,8,1,10,2,8,3,15,1,14,4,15,1,8,3,15,5,8,3,15,1,8,7,15,4,8,4,15,18,8,8,18,3,4,983,18,1,16,110,3,1,4,23,3,1,16,434,3,2,16,13,3,3,4,5,18,1,3,1,16,3,3,4,16,4,3,1,18,2,4,1,19,7,4,3,19,1,4,6,3,3,4,1,19,5,4,724,},
{4,396,19,6,4,4,18,1,3,2,18,2,8,27,18,2,8,10,15,2,14,5,18,1,8,2,10,11,8,11,18,1,8,16,10,4,8,2,18,4,8,2,10,5,8,6,18,1,15,18,14,3,15,10,8,4,15,5,18,8,4,7,18,1,9,1,8,1,18,3,8,1,9,2,8,7,15,1,14,1,3,3,14,1,18,1,8,3,15,5,8,12,15,3,8,3,15,18,7,1,8,7,18,4,4,983,3,1,16,106,3,4,18,1,4,23,18,1,16,427,3,2,16,20,3,2,18,1,4,4,3,1,16,6,3,7,18,1,4,3,19,7,4,2,19,3,4,4,18,1,3,1,16,2,18,1,4,1,19,3,4,725,},
{4,397,19,5,4,5,18,4,8,22,10,1,8,17,15,2,14,3,15,1,8,10,10,4,8,25,18,1,8,1,10,4,8,1,18,4,8,1,10,8,8,1,18,2,8,4,18,2,15,2,14,1,15,13,14,3,15,10,8,3,18,1,15,2,18,10,4,4,19,1,4,2,18,2,9,1,18,4,9,1,10,3,8,1,15,1,14,5,3,1,16,2,3,1,14,1,15,1,8,2,15,2,14,1,15,10,8,5,15,3,8,6,15,7,8,4,15,4,8,5,15,2,18,3,4,970,18,1,3,3,18,1,4,10,3,1,16,80,3,3,16,23,3,1,4,27,19,1,16,437,3,3,16,8,3,2,4,2,18,1,3,2,16,7,3,2,18,1,4,6,19,15,4,4,3,1,16,3,3,1,18,1,19,2,4,1,18,1,4,724,},
{4,399,19,3,4,6,18,3,8,5,18,2,8,14,10,5,8,17,18,2,8,42,10,4,8,1,18,3,8,1,10,9,8,1,18,3,8,5,15,27,18,1,8,4,18,2,15,1,18,7,4,4,19,5,4,1,18,6,8,1,10,4,18,1,14,1,3,2,14,2,3,5,14,1,15,4,14,2,15,3,14,2,15,5,8,3,15,1,8,3,15,1,8,4,15,1,8,2,15,3,8,16,15,1,18,4,4,969,3,2,16,3,3,1,4,10,3,1,16,79,3,1,18,2,3,2,16,21,3,1,18,1,4,28,16,437,3,3,16,7,3,3,4,3,3,1,16,4,3,5,18,1,4,5,19,17,4,1,18,2,3,2,16,4,3,1,4,2,3,1,16,1,3,1,18,1,4,722,},
{4,402,19,3,4,5,18,2,8,5,18,1,8,15,10,4,8,9,10,2,8,1,15,1,8,6,10,2,8,13,10,5,8,22,10,2,8,2,18,3,8,2,10,9,18,4,8,5,18,1,15,7,8,5,15,13,8,7,18,1,15,1,18,1,15,1,18,3,4,5,19,6,4,1,18,5,9,1,10,4,18,1,15,1,14,1,3,1,14,2,15,1,14,5,15,4,14,2,15,2,8,1,15,2,14,1,15,1,8,2,15,2,8,2,15,2,8,3,15,7,8,1,15,1,8,18,15,1,18,4,4,966,3,3,16,5,3,1,4,10,3,1,16,7,3,2,16,11,3,1,16,57,3,1,19,2,18,1,3,5,16,18,3,1,4,29,3,1,16,446,3,3,4,4,3,3,18,5,4,7,19,5,4,5,19,7,4,1,3,2,16,7,3,2,16,3,3,1,4,2,19,2,4,718,},
{4,402,19,6,4,2,18,6,8,17,10,1,8,2,10,1,8,5,10,2,8,2,10,2,8,8,10,2,8,2,10,3,8,1,18,2,8,5,10,5,8,20,10,2,8,2,18,4,8,2,10,10,18,4,8,6,15,7,8,10,15,8,8,7,18,6,4,6,19,6,4,1,18,2,10,6,9,1,8,1,18,2,15,1,14,2,18,2,15,8,14,4,15,5,8,13,15,8,8,18,15,1,18,2,4,967,18,1,16,9,18,1,4,7,19,2,4,1,3,2,16,75,3,1,4,1,19,2,3,1,16,1,3,4,16,17,3,1,18,1,4,29,18,1,3,1,16,446,3,2,4,19,19,4,4,9,19,4,4,1,3,1,16,3,3,3,16,6,3,2,4,1,19,3,4,718,},
{4,402,19,7,4,1,18,6,8,26,10,1,8,3,10,2,8,6,15,2,8,4,10,4,8,1,14,1,18,2,8,5,10,2,8,20,10,3,8,1,18,2,14,1,18,1,8,2,10,11,18,5,8,1,18,2,8,2,18,1,15,5,8,12,15,7,8,7,18,5,4,3,19,9,4,3,10,5,9,1,18,2,8,1,9,1,10,1,8,1,18,5,15,1,18,2,15,3,14,7,15,1,8,16,15,5,8,20,15,1,18,2,4,967,3,1,16,10,3,5,4,2,19,4,4,1,18,1,3,1,16,9,3,5,16,58,3,1,19,3,4,1,3,1,16,20,3,1,16,1,3,1,4,8,3,4,4,20,3,1,16,445,3,2,4,27,18,1,3,2,18,1,4,1,19,3,4,2,3,2,16,1,3,2,14,2,3,1,16,4,3,1,18,1,4,1,19,4,4,718,},
{4,402,19,7,4,2,18,5,8,4,18,4,8,6,18,1,8,7,18,2,8,2,10,1,8,4,10,1,8,6,15,2,8,4,10,4,18,1,14,1,15,1,8,29,10,2,8,1,18,4,8,1,10,12,18,4,8,2,18,1,15,1,8,2,15,5,8,14,18,2,15,4,8,5,18,6,4,4,19,9,4,3,10,5,18,4,10,3,8,1,18,5,8,2,18,1,15,1,14,8,15,1,8,29,7,1,8,10,15,1,18,2,4,968,3,1,16,15,3,1,18,1,4,1,19,3,4,2,3,2,16,8,3,2,16,58,3,2,18,1,4,1,19,2,4,1,3,1,16,19,3,1,18,2,3,1,18,1,4,7,3,2,16,3,19,1,4,20,3,2,16,443,3,3,18,1,4,17,3,4,4,4,3,3,18,1,4,4,18,1,3,6,15,1,8,1,15,1,3,1,16,1,3,2,4,2,19,4,4,719,},
{4,402,19,7,4,3,18,11,15,1,18,1,8,4,18,3,8,1,10,1,8,4,18,2,8,4,18,2,8,3,15,3,8,2,15,1,18,1,8,4,10,3,8,1,18,1,14,1,18,1,8,10,10,2,8,20,18,6,10,11,4,1,18,2,8,3,18,1,15,2,18,1,15,7,8,6,15,1,8,1,15,2,8,3,18,1,15,5,8,4,18,5,4,5,19,11,4,1,10,3,9,1,18,5,8,3,18,6,8,3,15,7,14,4,15,3,8,3,15,2,8,18,15,3,8,8,7,2,15,1,18,3,4,967,3,1,16,16,3,6,18,1,4,2,18,1,3,1,16,15,3,1,16,49,3,1,19,3,4,2,3,3,16,18,3,1,18,1,19,2,4,8,3,2,16,4,19,1,4,10,19,10,4,2,3,1,16,434,3,9,16,1,3,7,4,2,19,5,4,4,3,2,16,1,3,2,18,1,10,2,18,1,3,1,16,1,3,1,18,1,4,1,18,1,3,2,16,1,3,5,14,1,18,1,8,2,15,1,3,2,4,2,19,5,4,2,18,1,3,4,4,712,},
{4,402,19,6,4,11,18,6,8,4,18,2,8,2,10,1,8,4,18,2,8,4,18,1,15,1,18,1,8,1,15,3,8,12,18,1,14,2,18,1,8,10,10,3,8,14,18,7,4,17,18,5,15,1,18,2,15,9,8,7,15,1,8,3,15,5,8,2,18,1,8,1,18,2,4,9,19,11,4,1,18,10,8,1,18,6,8,3,18,1,15,6,14,5,15,4,8,2,15,1,14,1,15,4,8,15,15,3,8,7,15,1,14,2,18,2,4,968,3,1,16,22,3,1,4,3,18,1,3,3,16,11,3,2,16,48,3,1,4,1,19,4,3,1,16,18,3,5,19,2,4,7,3,2,16,5,18,1,4,10,19,11,4,2,3,1,16,433,3,2,18,1,3,8,16,4,3,2,4,1,19,6,4,3,3,2,16,2,3,2,18,1,10,2,3,1,16,2,3,1,4,2,18,1,3,1,16,3,3,2,18,3,10,3,9,2,18,1,4,2,19,4,4,1,18,1,3,3,16,2,3,1,4,712,},
{4,415,19,1,4,3,18,6,8,4,18,1,8,4,18,6,8,5,15,4,8,6,18,1,8,5,18,3,14,2,18,1,8,6,10,1,8,17,18,4,4,8,19,2,4,13,18,8,8,4,15,5,8,7,15,2,8,3,15,1,8,5,18,4,4,3,19,2,4,4,19,10,4,2,18,7,8,5,18,4,8,5,15,1,14,3,3,2,16,2,3,1,14,1,15,10,8,8,15,3,8,8,15,2,8,2,7,2,8,3,18,1,14,1,3,1,18,1,4,969,3,1,16,23,3,2,18,1,4,1,19,2,4,1,19,1,3,1,16,7,3,2,16,42,3,2,16,4,3,2,4,1,19,3,4,1,3,1,16,18,3,4,16,1,3,2,19,3,4,3,3,2,16,7,19,1,4,9,19,12,4,2,3,1,16,430,3,5,18,1,3,2,16,1,3,1,18,1,4,2,3,2,16,1,3,2,4,3,19,5,4,2,18,1,3,2,16,2,3,1,18,4,3,1,16,3,3,1,4,3,3,1,16,3,3,2,9,1,10,8,4,3,19,1,4,1,18,1,3,1,16,6,3,1,4,712,},
{4,414,19,4,4,2,18,4,8,10,18,6,9,2,8,4,7,1,14,1,15,1,8,5,18,4,8,3,18,6,8,24,18,3,4,7,19,5,4,8,19,2,4,5,18,5,8,5,15,3,8,19,18,3,4,2,19,4,4,5,19,9,4,2,18,4,8,1,10,3,8,3,18,5,8,4,18,1,15,1,14,3,3,1,16,1,3,1,14,2,15,12,8,3,15,7,8,8,15,2,8,2,7,2,8,2,18,2,3,1,18,2,4,968,18,1,3,1,16,20,3,1,16,4,3,1,4,1,19,2,4,3,3,1,16,6,3,2,16,42,3,2,16,3,3,1,18,1,4,1,19,4,3,1,16,17,3,5,16,4,3,1,19,2,4,2,3,1,16,8,3,1,4,11,19,10,4,3,3,1,16,426,3,1,16,1,3,4,18,1,3,1,18,1,4,2,3,3,4,3,18,1,3,3,18,1,4,3,19,4,4,2,18,1,3,1,16,3,3,1,18,1,9,1,18,2,3,1,16,3,3,1,18,1,4,3,18,1,16,3,3,1,18,1,10,10,4,3,18,1,3,1,16,6,3,1,18,1,4,712,},
{4,414,19,5,4,2,18,3,8,11,18,5,8,7,15,2,18,1,8,4,18,4,8,4,18,4,8,13,10,5,8,8,18,2,4,5,19,7,4,8,19,5,4,4,18,3,15,1,8,17,10,2,8,7,18,2,4,2,19,5,4,5,19,9,4,2,10,9,8,1,18,4,8,4,18,2,15,3,14,3,15,1,8,1,9,1,8,1,15,1,14,1,15,4,14,4,15,11,8,4,15,6,8,6,18,5,4,964,19,3,4,1,3,1,16,20,3,4,16,4,3,2,18,1,4,2,19,2,3,1,16,53,3,1,4,2,19,4,3,1,16,18,3,4,16,5,18,1,19,2,4,1,3,1,16,9,3,1,4,12,3,9,4,3,3,1,16,428,3,4,4,1,19,2,4,2,18,2,4,2,3,3,4,3,3,3,18,1,19,4,4,1,3,2,16,1,3,1,14,1,9,1,10,2,18,1,3,4,16,2,3,1,4,4,3,1,16,3,3,1,9,1,10,2,9,1,18,4,10,2,9,1,18,4,3,2,16,4,3,2,4,1,19,2,4,710,},
{4,414,19,6,4,2,18,5,8,7,9,2,18,2,9,1,18,3,8,7,18,8,8,23,10,3,8,8,18,3,4,2,19,10,4,8,19,6,4,4,18,4,15,1,18,1,8,7,15,2,8,5,10,2,8,3,18,5,4,2,19,6,4,4,19,10,4,1,18,1,9,1,10,6,8,1,18,5,8,4,18,1,15,1,14,4,15,3,8,1,9,1,10,2,8,1,14,1,15,5,14,2,15,7,14,2,15,2,8,3,15,8,8,7,18,3,4,965,19,3,4,1,3,1,16,12,3,3,16,3,3,3,16,9,3,2,4,1,19,2,3,1,16,52,3,1,4,3,19,3,3,1,16,19,3,2,16,6,3,1,4,1,19,1,4,1,18,1,16,10,3,1,4,11,3,1,16,9,3,1,18,2,3,1,16,427,3,5,18,1,19,2,4,2,18,2,4,1,18,1,3,1,16,1,3,1,18,1,4,2,3,4,19,3,4,1,18,1,3,1,16,2,3,1,10,4,3,1,16,2,3,4,18,1,4,3,18,1,3,1,16,2,3,1,18,1,10,2,9,1,18,2,3,3,18,1,15,2,14,2,18,3,3,5,18,1,4,2,19,2,4,710,},
{4,414,19,6,4,3,18,6,8,3,18,3,9,1,18,5,15,1,18,1,8,6,18,8,8,33,18,3,4,3,19,10,4,8,19,7,4,3,18,4,14,6,15,3,18,3,8,1,9,4,18,8,4,3,19,6,4,4,19,10,4,2,10,5,18,7,8,3,18,2,15,2,14,7,15,2,8,2,15,12,8,3,15,1,7,3,15,14,8,6,18,1,4,2,19,4,4,960,19,4,4,1,3,2,16,9,3,3,16,4,3,1,16,11,3,1,16,1,3,3,16,52,3,1,18,1,4,4,3,2,16,27,3,1,19,2,4,2,3,1,16,9,3,1,18,1,4,1,19,1,4,8,18,1,3,1,16,10,3,2,16,428,3,11,16,1,3,1,16,5,3,5,18,1,19,2,4,1,18,1,3,2,16,1,3,2,18,1,10,1,18,1,3,2,16,2,3,4,18,1,10,3,18,1,16,3,3,1,18,1,10,2,9,1,18,2,3,4,14,2,15,1,18,8,4,2,19,2,4,3,3,7,4,702,},
{4,415,19,5,4,4,18,10,9,2,18,4,14,2,18,1,8,6,18,5,8,15,10,1,8,9,18,1,8,3,18,5,10,1,18,3,4,4,19,10,4,9,19,7,4,5,18,22,4,6,19,7,4,4,19,5,4,7,10,3,8,1,18,5,14,2,18,5,15,2,14,4,15,1,14,5,15,5,8,4,15,3,8,6,15,1,7,1,15,14,14,1,8,2,10,4,18,1,4,1,19,5,4,961,19,3,4,2,3,6,16,4,3,2,16,74,3,1,4,4,3,1,16,28,3,1,19,3,18,1,3,1,16,9,3,2,4,1,19,2,4,8,3,1,16,442,3,4,16,14,3,4,4,1,19,2,4,1,3,5,18,3,3,2,16,3,3,4,18,1,10,2,18,1,3,4,18,1,10,2,9,1,18,3,3,5,14,1,15,1,18,5,10,2,18,1,4,2,19,3,3,4,16,5,19,1,4,701,},
{4,416,19,5,4,3,18,8,8,1,9,3,18,6,8,27,10,2,8,7,18,2,8,3,15,1,18,3,4,8,19,7,4,14,19,8,4,9,18,11,4,9,19,13,4,10,18,2,10,2,8,1,18,4,8,1,18,2,14,6,15,6,8,1,15,3,14,2,15,5,8,3,15,5,8,7,15,7,8,3,15,3,14,2,8,2,10,3,4,3,19,5,4,954,18,1,3,6,19,3,4,2,3,2,18,1,4,1,19,2,3,1,16,22,3,2,16,11,3,2,16,42,18,1,4,2,18,1,3,1,16,28,3,1,19,2,4,1,18,1,3,1,16,3,3,1,16,6,3,1,19,4,4,8,3,1,16,444,3,4,16,11,3,4,18,1,4,1,19,2,4,1,3,4,18,4,3,9,10,2,18,1,3,3,18,1,4,3,18,2,3,2,18,2,3,2,16,2,3,1,14,1,15,1,18,1,14,1,3,1,18,2,10,1,18,1,3,5,16,9,3,1,4,701,},
{4,416,19,6,4,5,18,5,10,2,9,1,18,6,8,1,10,3,8,14,18,1,15,2,8,16,18,5,15,1,18,3,4,4,19,1,4,1,19,9,4,14,19,8,4,28,19,14,4,3,18,1,4,5,18,3,8,1,18,3,3,1,14,1,18,1,8,2,18,1,14,6,15,2,18,2,8,5,15,8,8,3,15,6,8,9,15,1,8,6,15,5,8,1,10,4,4,3,19,5,4,953,19,1,3,1,16,6,3,1,19,2,4,1,3,4,4,1,19,2,3,4,16,19,3,2,16,55,3,1,18,1,3,2,16,28,3,1,18,1,19,1,4,1,18,1,16,5,3,2,16,4,3,1,19,4,4,9,3,1,16,445,3,4,16,7,3,7,18,1,4,4,3,5,18,1,3,7,18,2,3,1,18,1,10,2,3,4,4,4,3,8,16,2,3,1,14,1,18,2,14,1,3,3,18,1,3,2,16,9,3,5,4,544,19,5,4,152,},
{4,416,19,6,4,6,18,4,10,2,18,6,9,1,10,4,8,1,15,2,8,10,15,4,8,3,10,1,8,6,18,3,8,3,18,6,3,1,18,2,4,2,19,7,4,21,19,7,4,3,19,4,4,21,19,14,4,3,18,7,8,2,10,1,8,1,18,1,3,3,14,1,18,3,15,2,18,2,15,1,14,1,15,5,8,9,15,12,8,13,7,1,8,1,15,1,7,3,15,1,8,2,10,3,18,2,4,2,19,5,4,952,18,1,3,1,16,8,18,2,3,1,16,4,3,1,19,1,18,1,3,5,16,1,3,4,16,8,3,1,16,14,3,1,16,24,3,1,16,52,3,1,18,1,4,3,3,1,16,5,3,1,16,4,3,2,4,1,19,4,4,8,3,1,16,447,3,2,16,5,3,7,16,1,3,2,18,1,4,4,3,7,16,2,3,2,18,1,4,2,18,2,4,2,3,3,18,1,4,2,18,1,3,1,16,4,3,6,14,1,18,1,8,1,18,2,3,5,16,7,3,1,16,1,3,5,4,544,19,6,4,152,},
{4,418,19,4,4,7,18,10,9,1,10,4,8,2,14,2,18,1,8,2,18,1,8,6,7,3,8,11,18,3,8,3,18,6,3,1,18,2,4,1,19,8,4,25,19,2,4,3,19,6,4,21,19,12,4,2,18,4,8,3,15,2,8,4,15,1,14,1,3,2,14,1,15,1,18,1,15,4,18,1,15,14,8,2,15,3,8,2,15,6,8,6,7,1,8,8,7,5,8,2,10,3,18,2,4,2,19,6,4,949,18,1,4,1,18,1,3,1,16,9,3,2,16,7,3,10,16,23,3,2,16,24,3,2,16,51,3,1,4,3,18,1,16,6,3,1,16,4,3,1,4,3,19,2,4,8,18,1,16,448,3,2,16,4,3,5,16,3,3,4,4,5,3,2,16,6,3,1,18,1,4,7,3,3,18,1,4,2,3,1,16,6,3,4,14,1,18,2,8,1,18,2,3,1,16,2,3,11,19,1,4,548,19,6,4,152,},
{4,426,19,2,4,4,18,4,10,6,8,4,15,1,14,1,15,1,18,2,15,1,18,2,8,2,15,2,14,1,15,1,8,18,18,8,4,2,19,8,4,30,19,6,4,26,19,5,4,5,18,3,8,3,15,3,18,4,14,3,18,3,15,1,14,4,15,5,14,10,15,4,8,3,15,4,8,7,7,1,8,8,7,5,8,2,10,1,8,1,18,3,4,2,19,6,4,948,18,1,3,3,16,24,3,2,16,17,3,1,16,34,18,1,3,1,16,4,3,2,16,44,3,1,18,1,4,3,3,1,16,11,3,1,4,12,18,1,3,1,16,447,3,3,16,4,3,4,16,4,3,5,18,1,4,4,3,1,16,5,3,1,18,1,4,8,18,1,3,2,18,1,4,2,3,1,16,8,3,2,14,1,15,1,18,2,14,1,3,1,16,4,3,2,4,2,19,1,4,5,19,2,4,3,19,1,4,426,19,4,4,110,19,9,4,152,},
{4,426,19,4,4,3,18,2,10,7,8,1,18,1,8,6,18,3,8,9,10,2,8,8,10,3,8,2,18,5,4,6,19,8,4,30,19,6,4,26,19,4,4,3,18,4,8,6,15,3,18,3,15,1,18,2,8,1,18,1,15,1,14,4,15,6,14,6,3,3,14,3,15,10,8,17,7,3,15,1,8,2,18,3,4,3,19,5,4,949,18,1,3,1,16,44,3,2,16,34,3,2,16,4,3,2,16,43,3,2,18,3,3,1,16,12,3,1,4,12,3,1,16,447,3,4,16,2,3,6,16,4,3,3,16,2,3,1,4,4,3,1,16,5,3,1,4,10,18,1,4,4,3,1,16,3,3,1,16,4,3,2,14,1,18,3,3,2,16,3,3,1,18,1,4,2,19,14,4,14,19,1,3,1,4,408,19,9,4,105,19,10,4,152,},
{4,426,19,5,4,3,10,2,18,2,10,4,8,1,18,1,8,17,10,3,8,6,10,5,9,1,18,5,4,7,19,8,4,31,19,4,4,22,19,9,4,2,18,4,8,8,15,12,14,1,15,9,14,13,15,9,8,9,7,1,8,7,7,2,15,1,18,5,4,1,19,6,4,946,18,1,3,3,4,2,3,1,16,43,3,2,16,34,3,1,16,4,3,3,16,42,3,1,18,1,3,3,16,14,3,2,4,11,3,1,16,448,3,3,16,2,3,6,16,5,3,3,16,1,3,2,18,1,4,3,3,1,16,3,3,1,19,1,4,15,18,1,3,4,16,4,3,2,18,4,3,3,16,1,3,1,4,1,19,17,4,13,18,1,3,3,18,1,4,406,19,10,4,101,19,13,4,152,},
{4,426,19,6,4,2,10,8,8,28,10,5,18,3,4,5,19,3,4,3,19,6,4,57,19,9,4,2,18,4,8,10,15,25,14,3,3,1,14,6,15,8,8,2,7,1,8,15,7,1,15,1,18,2,3,1,18,1,4,2,19,5,4,946,18,1,3,1,16,2,3,1,18,2,3,1,16,35,3,2,16,48,3,1,16,43,18,2,3,1,16,17,3,1,4,11,3,1,16,448,3,3,16,2,3,3,16,1,3,2,16,11,3,1,4,4,3,1,16,2,3,1,4,4,18,2,4,11,18,3,3,2,16,2,3,3,18,8,4,2,19,16,4,13,18,1,3,1,16,3,3,1,19,1,4,405,19,10,4,100,19,14,4,152,},
{4,426,19,7,4,2,10,9,8,18,7,2,8,6,10,4,4,2,18,2,4,4,19,4,4,66,19,6,4,6,18,5,8,8,15,2,14,2,15,16,14,2,15,3,14,2,3,2,16,1,3,1,14,4,15,6,8,15,7,1,15,1,7,1,8,4,18,2,3,1,18,1,4,2,19,4,4,946,3,2,16,4,3,2,16,35,3,3,16,91,3,1,18,2,3,1,16,17,3,1,4,11,3,1,16,449,3,2,16,2,3,1,16,3,3,3,16,10,3,1,19,1,4,1,19,2,4,1,18,1,3,1,18,1,4,2,18,1,3,4,4,12,19,3,3,3,4,11,19,18,4,2,3,4,18,1,4,5,18,1,3,1,16,4,3,1,19,1,4,4,3,2,19,1,4,397,19,13,4,97,19,12,4,154,},
{4,426,19,7,4,2,10,1,9,1,8,1,9,2,8,2,10,2,8,1,18,3,8,13,7,3,8,7,10,3,4,7,19,5,4,66,19,6,4,5,18,4,15,1,18,1,15,1,8,6,15,2,14,3,15,2,8,2,15,3,14,4,15,4,14,3,15,3,14,3,3,2,14,5,15,3,8,1,15,3,8,5,7,1,8,3,10,1,8,4,15,4,8,2,18,2,4,4,19,5,4,945,3,1,16,43,3,3,16,37,3,1,16,52,3,1,10,1,18,1,3,1,16,17,3,2,4,11,3,1,16,445,3,2,16,10,3,4,16,7,3,1,16,1,3,1,19,1,4,1,19,2,4,5,18,1,3,1,16,3,3,1,4,1,19,2,4,1,3,2,4,5,19,4,4,15,19,16,4,2,18,1,3,1,16,2,3,2,4,5,18,1,3,2,16,4,3,1,4,4,3,6,4,394,19,14,4,96,19,12,4,3,19,4,4,147,},
{4,426,19,7,4,1,18,8,8,3,18,3,8,10,7,1,8,3,15,1,18,1,8,4,18,3,4,1,18,1,4,3,19,9,4,67,19,5,4,3,18,5,15,3,8,7,7,1,15,1,14,5,15,1,8,2,15,2,14,4,15,5,14,2,15,7,14,8,15,1,8,2,15,3,7,1,8,4,7,2,8,2,10,2,8,2,15,6,18,2,4,3,19,3,4,948,3,1,16,137,3,1,10,1,3,1,16,7,3,1,16,5,3,1,16,4,3,1,4,12,18,1,3,1,16,444,3,2,16,8,3,9,16,3,3,4,4,1,19,3,4,1,18,1,4,3,3,1,16,4,3,1,4,1,19,2,4,1,18,1,3,1,18,1,4,4,19,12,4,8,19,10,4,1,3,4,18,1,3,2,16,2,3,4,4,5,18,1,3,2,16,3,3,1,4,1,19,2,4,1,3,1,16,4,3,2,18,2,4,392,19,1,4,3,19,9,4,96,19,11,4,3,19,7,4,145,},
{4,427,19,5,4,2,18,6,14,2,18,4,15,1,18,1,8,4,7,2,15,1,7,2,14,2,15,1,8,7,18,3,4,5,19,7,4,71,19,2,4,3,18,4,14,1,15,8,7,5,15,2,14,4,15,4,14,4,15,4,14,3,15,12,14,4,15,4,14,2,7,2,8,2,7,4,8,7,18,5,4,3,19,4,4,947,18,1,16,90,3,2,16,46,3,3,16,4,3,1,16,2,3,1,16,9,3,1,18,1,4,13,3,1,16,444,3,3,16,7,3,2,16,4,3,6,19,1,4,1,18,1,4,2,19,3,3,2,4,2,18,1,3,1,16,4,3,1,4,1,19,2,4,2,3,1,18,1,4,8,19,8,4,8,19,4,4,3,19,1,4,2,18,1,3,1,16,2,3,2,16,4,3,4,4,5,18,1,3,6,19,5,3,1,16,5,3,2,18,1,4,395,19,9,4,97,19,10,4,3,19,8,4,144,},
{4,428,19,4,4,2,18,3,8,1,18,3,14,1,18,6,8,3,15,1,14,3,7,1,14,4,8,6,18,3,4,3,19,10,4,66,19,2,4,8,18,1,3,3,14,2,15,5,14,4,7,3,15,1,8,1,15,1,14,11,15,2,14,5,15,4,14,7,15,1,14,5,15,6,7,6,14,5,8,5,18,3,4,2,19,5,4,945,3,3,16,90,3,2,16,46,3,2,16,17,3,1,4,16,3,1,16,43,3,3,16,397,3,3,16,3,3,4,16,8,3,2,19,1,4,1,19,5,4,2,19,1,3,8,16,2,3,1,18,1,19,4,4,6,3,3,18,1,4,2,19,5,4,13,18,1,3,1,18,1,4,3,3,1,16,2,3,3,16,6,3,1,18,2,4,1,10,2,18,1,3,2,16,1,3,3,18,1,19,6,16,5,3,5,4,386,18,3,4,3,19,10,4,110,19,8,4,144,},
{4,428,19,5,4,1,18,2,8,3,18,9,8,3,7,1,14,3,7,1,14,4,8,5,18,1,4,5,19,10,4,66,19,4,4,6,18,2,14,1,3,1,14,3,15,4,14,7,7,1,8,2,15,1,14,10,15,3,14,4,15,4,14,15,15,5,7,1,14,3,7,2,14,5,8,3,15,1,14,1,3,1,18,2,4,1,19,6,4,944,3,1,16,90,3,3,18,1,3,1,16,9,3,2,16,54,18,1,4,16,3,1,16,43,3,1,18,2,3,1,16,397,3,1,16,4,3,4,16,7,3,2,4,1,19,8,18,1,3,1,16,5,3,1,18,2,3,4,19,4,4,1,18,2,4,3,3,1,16,3,3,1,4,2,19,3,4,14,3,4,4,1,18,1,3,1,16,1,3,4,16,6,3,2,18,1,10,2,18,2,3,1,16,3,3,3,4,1,19,4,4,1,3,1,16,5,3,5,18,1,4,384,18,4,4,2,19,10,4,110,19,8,4,144,},
{4,428,19,5,4,1,18,1,8,10,18,1,8,6,7,2,15,1,18,1,15,2,14,1,18,2,8,2,18,3,4,3,19,12,4,66,19,4,4,3,18,2,10,1,18,2,15,9,14,5,7,1,14,1,15,4,14,10,15,3,14,4,15,10,14,11,15,3,7,1,14,3,7,1,15,1,14,3,15,1,8,2,18,1,3,5,4,2,19,6,4,944,3,1,16,7,3,1,16,69,3,1,16,12,3,1,4,2,18,1,3,1,16,60,3,1,16,4,3,1,4,14,18,1,3,1,16,44,3,1,18,2,3,1,16,403,3,10,19,7,4,1,19,2,4,1,3,1,16,6,3,6,4,1,19,2,4,1,19,1,3,2,16,2,3,4,16,3,3,4,4,2,19,1,4,10,3,2,18,2,3,2,18,1,3,2,16,2,3,4,16,6,3,1,18,4,10,1,18,1,3,1,16,4,3,2,18,1,4,5,18,1,3,1,16,8,3,3,18,1,4,382,18,1,3,1,18,1,4,112,19,2,4,8,19,9,4,37,19,8,4,98,},
{4,428,19,4,4,2,18,5,8,3,10,1,8,2,18,2,8,1,7,1,8,4,7,1,15,1,18,1,8,4,18,5,4,3,19,10,4,68,19,5,4,3,18,1,8,3,15,2,8,1,15,6,14,5,7,3,15,3,14,10,15,4,14,9,15,4,14,19,15,3,18,1,8,3,18,2,3,4,18,1,4,2,19,3,4,1,19,1,4,945,3,1,16,5,3,5,16,66,3,3,16,8,3,4,4,2,3,1,16,46,3,1,16,13,3,3,16,3,3,1,4,14,3,1,16,45,3,3,16,405,3,2,18,1,4,2,18,4,4,1,19,4,3,2,19,1,4,3,3,1,16,6,3,6,4,4,18,1,3,1,16,4,3,1,18,1,3,1,16,6,3,2,4,1,19,1,4,2,3,3,4,4,3,3,18,2,3,5,16,4,3,3,16,5,3,1,18,4,10,2,8,1,3,1,16,6,3,1,18,1,4,4,18,1,3,1,16,9,3,3,4,382,18,2,4,112,19,3,4,7,19,10,4,36,19,8,4,98,},
{4,428,19,4,4,2,18,2,14,4,8,2,10,1,8,1,18,1,15,4,7,1,8,3,7,1,14,2,18,1,8,3,18,4,4,3,19,7,4,72,19,6,4,2,18,1,8,3,15,1,14,1,15,2,14,7,17,1,14,2,7,3,14,12,15,5,14,11,15,1,14,21,15,2,8,4,18,2,3,4,4,2,19,1,4,950,3,1,16,5,3,1,4,3,18,1,3,1,16,64,3,4,16,9,3,3,18,1,3,1,16,47,3,2,16,11,3,3,16,4,3,1,4,14,3,1,16,454,3,1,18,1,4,8,19,1,18,1,3,1,16,3,3,1,4,3,3,1,16,5,3,7,4,4,3,1,16,3,3,6,16,5,3,1,4,3,3,18,16,4,3,3,16,5,3,1,18,1,8,1,14,1,18,1,8,1,10,2,18,1,3,4,16,2,3,1,18,1,3,4,18,2,3,2,16,8,3,3,18,1,4,376,19,1,4,10,19,5,4,102,19,4,4,8,19,9,4,30,19,3,4,2,19,8,4,98,},
{4,428,19,4,4,1,18,3,14,4,15,1,8,3,15,1,14,1,15,2,7,1,8,4,7,1,14,2,18,1,8,2,10,1,4,6,19,8,4,73,19,5,4,2,18,1,8,2,18,1,14,2,15,1,14,7,16,3,17,1,14,14,15,9,14,16,15,1,14,14,15,1,18,9,4,2,19,2,4,950,3,2,16,3,3,1,4,4,18,1,3,1,16,10,3,2,16,52,3,2,16,11,3,1,18,2,3,1,16,61,3,2,16,5,3,1,4,14,3,1,16,454,3,2,18,1,4,5,3,3,16,5,3,1,4,4,3,1,16,4,3,1,16,6,19,1,4,3,3,2,16,2,3,4,18,2,3,2,16,3,3,1,4,2,18,1,3,1,16,3,3,1,16,1,3,9,16,2,3,1,16,5,3,3,16,3,3,1,14,1,18,1,8,1,14,1,3,1,14,1,18,3,3,2,18,1,3,1,16,2,3,1,14,1,3,1,16,2,3,2,18,1,3,4,16,8,3,3,18,1,19,1,4,372,19,7,4,5,19,5,4,102,19,6,4,2,19,1,4,4,19,9,4,27,19,5,4,3,19,7,4,98,},
{4,427,19,5,4,1,18,4,7,1,14,2,15,1,8,2,15,1,14,2,15,1,8,6,14,3,18,2,8,1,18,1,4,4,19,4,4,80,19,4,4,2,18,1,8,2,15,2,14,6,15,2,14,1,16,4,17,1,14,3,15,4,14,6,15,11,14,7,15,3,14,20,18,5,4,3,19,5,4,951,19,1,3,1,16,2,3,1,4,4,3,1,16,7,3,3,16,67,3,1,4,3,3,1,16,67,3,1,18,1,4,14,3,1,16,453,3,11,16,4,3,3,4,4,3,1,16,11,3,1,18,1,4,2,18,1,16,6,3,2,18,1,4,2,3,4,4,2,18,1,3,1,16,8,3,6,16,9,3,4,14,1,18,1,9,2,18,1,15,1,3,2,16,2,3,3,14,2,3,5,16,3,3,4,8,2,3,1,16,8,3,6,18,1,4,369,19,7,4,5,19,5,4,102,19,9,4,6,19,15,4,18,19,6,4,8,19,2,4,98,},
{4,426,19,6,4,1,18,2,8,3,14,2,7,3,15,1,14,1,15,1,8,7,15,1,14,1,18,5,4,2,19,6,4,80,19,4,4,2,18,2,8,2,15,1,14,5,15,2,14,2,16,5,14,3,15,6,14,3,15,13,14,7,15,2,14,10,7,1,15,2,14,7,18,4,4,3,19,6,4,952,18,1,3,2,4,4,3,1,16,5,3,5,16,24,3,2,16,41,3,1,18,1,4,3,16,67,3,2,4,14,19,1,16,454,3,3,16,11,3,1,4,7,3,1,16,12,18,1,4,2,18,1,3,1,16,6,3,2,4,3,18,1,3,1,18,1,4,2,18,1,3,1,16,9,3,5,16,10,3,2,18,1,8,2,9,1,18,3,14,1,3,1,16,4,3,3,14,3,3,3,16,6,14,1,18,1,14,1,3,1,16,13,3,2,18,1,4,367,19,8,4,5,19,3,4,104,19,9,4,5,19,15,4,18,19,6,4,2,18,5,4,101,},
{4,427,19,4,4,2,18,2,8,3,7,2,15,2,8,2,15,1,8,11,18,3,4,3,19,6,4,80,19,4,4,3,18,1,8,3,15,1,14,8,16,4,14,5,15,10,8,1,15,3,14,3,15,2,14,21,15,1,8,2,15,1,14,4,18,4,4,3,19,8,4,958,3,1,16,5,3,1,4,3,3,1,16,25,3,2,16,22,3,2,16,6,3,1,16,10,3,1,4,2,18,1,3,1,16,67,3,1,4,10,18,2,4,4,16,454,3,2,16,11,3,1,19,3,4,1,3,2,4,2,3,1,16,11,3,1,4,4,3,2,16,6,3,3,4,7,3,1,16,25,3,1,18,1,8,1,15,1,14,2,18,1,8,2,14,1,3,2,16,5,3,1,18,3,15,1,3,1,16,9,3,2,16,14,3,3,18,1,4,364,19,9,4,114,19,8,4,3,19,6,4,2,19,7,4,18,19,6,4,2,18,6,4,100,},
{4,427,19,4,4,2,18,2,15,1,18,1,7,4,8,15,18,2,4,4,19,5,4,81,19,5,4,2,18,1,8,3,15,2,14,6,3,1,16,3,14,2,15,3,14,2,15,3,8,3,15,1,8,2,15,3,14,26,15,1,8,3,15,1,14,3,18,1,8,1,18,2,4,3,19,9,4,957,19,1,16,5,3,1,4,4,3,1,16,25,3,2,16,21,3,3,16,17,3,1,4,2,3,1,16,63,3,1,16,4,3,1,4,11,19,1,4,3,3,1,16,453,3,3,16,11,3,1,19,4,3,2,18,2,3,1,16,4,3,7,18,1,4,5,3,1,16,8,3,1,4,8,3,1,16,24,3,1,14,1,15,1,3,3,15,1,8,1,9,1,18,1,14,1,3,2,16,4,3,1,14,1,3,2,14,1,3,2,16,8,3,3,16,15,3,3,4,364,19,9,4,114,19,7,4,2,19,6,4,5,19,5,4,18,19,5,4,2,18,8,4,99,},
{4,427,19,3,4,3,18,1,14,3,7,2,14,1,7,2,8,8,7,2,8,4,18,1,4,92,19,3,4,3,18,4,15,3,14,6,3,1,14,4,15,3,14,3,15,2,8,6,15,2,14,3,15,3,14,22,15,4,14,3,8,1,10,1,4,3,19,10,4,958,3,2,16,3,18,1,4,3,3,1,16,24,3,1,16,2,3,1,16,23,3,1,16,18,3,1,4,2,3,1,16,67,3,1,18,1,4,14,3,2,16,453,3,3,16,11,3,1,4,2,19,2,18,1,3,2,16,5,3,1,18,2,4,1,19,1,4,5,19,2,4,2,3,1,16,8,3,1,4,4,18,2,4,2,18,1,3,1,16,8,3,3,16,7,3,1,18,1,3,5,14,1,16,2,3,1,15,1,18,2,14,3,3,1,16,4,3,2,16,3,14,1,18,1,3,1,16,6,3,9,16,12,3,3,18,1,4,365,19,5,4,115,19,5,4,3,19,6,4,7,19,7,4,13,19,5,4,3,18,2,8,2,10,1,8,1,18,3,4,98,},
{4,426,19,3,4,2,18,3,14,2,7,7,8,7,7,1,8,4,18,2,4,92,19,3,4,3,18,5,15,3,14,7,15,7,14,1,15,2,8,5,15,3,14,4,15,4,14,2,15,1,14,16,7,1,14,3,18,5,10,2,4,2,19,8,4,962,3,4,4,3,3,1,16,26,3,4,16,17,3,1,16,23,3,1,4,2,3,1,16,48,3,1,16,18,3,1,18,1,4,14,3,1,16,454,3,2,16,3,3,1,16,8,3,1,18,1,4,1,19,2,4,1,3,2,16,5,3,1,4,12,18,1,3,1,16,8,3,1,4,3,18,1,3,2,18,1,4,3,3,2,16,6,3,4,16,2,3,2,16,1,3,1,18,2,3,6,16,2,3,1,14,1,15,5,3,1,16,9,3,1,14,2,16,3,3,3,14,4,18,1,15,1,14,1,3,4,16,12,3,2,18,1,4,366,19,1,4,118,19,2,4,6,19,5,4,9,19,5,4,13,19,4,4,3,10,2,8,3,10,1,8,2,18,4,4,96,},
{4,425,19,3,4,3,18,2,14,3,8,3,7,5,8,3,10,2,8,5,18,4,4,98,18,4,15,1,14,1,15,6,8,3,15,6,8,6,15,2,14,11,15,3,14,3,17,1,16,1,17,2,14,12,18,2,8,1,10,4,4,3,19,8,4,965,19,2,4,1,3,1,16,27,3,1,18,1,4,2,3,1,16,38,3,1,16,1,3,1,4,2,3,1,16,68,3,1,4,14,3,1,16,459,3,2,16,5,3,3,18,1,4,6,18,1,16,5,18,1,19,2,4,1,3,3,19,3,3,3,18,1,3,2,16,6,3,1,4,3,3,2,16,1,3,1,18,1,4,4,3,2,16,5,3,12,16,7,3,1,14,2,15,1,18,3,15,1,14,1,3,2,16,8,3,1,16,3,3,2,14,5,15,1,3,1,16,4,3,2,18,1,3,1,16,9,3,8,4,488,19,5,4,4,18,3,4,2,19,5,4,12,19,6,4,2,10,2,8,1,18,1,8,5,18,4,4,95,},
{4,423,19,4,4,3,18,1,3,1,18,1,14,1,15,1,8,4,7,2,14,1,7,1,15,1,8,4,10,3,18,1,4,3,18,2,4,103,18,3,15,3,8,4,15,3,14,1,15,2,8,4,15,3,14,12,15,3,14,4,16,2,17,1,14,11,18,3,4,10,19,6,4,945,19,2,4,3,19,5,4,10,19,4,3,1,16,26,3,1,18,1,4,2,18,1,3,1,16,11,3,2,16,24,3,3,18,1,4,2,3,1,16,57,3,1,16,10,3,1,4,14,3,1,16,459,3,2,16,5,3,7,19,1,4,3,3,2,16,3,3,1,19,2,18,1,16,2,3,1,19,2,18,1,16,2,3,1,18,2,3,2,16,5,3,1,4,2,18,1,3,2,16,1,3,2,18,1,4,4,3,2,16,5,3,3,16,1,3,10,16,5,3,2,14,1,18,1,8,1,18,1,15,2,14,1,3,1,16,9,3,4,14,4,15,3,3,1,16,5,18,1,10,1,18,1,3,1,16,16,3,1,4,487,19,5,4,3,18,5,4,2,19,4,4,13,19,6,4,2,18,4,8,2,10,2,8,1,18,3,4,95,},
{4,422,19,5,4,2,18,2,3,1,14,1,18,1,8,2,10,1,8,1,7,1,14,1,7,1,15,4,18,4,4,105,19,6,4,2,18,3,15,1,18,1,15,1,14,5,15,1,18,1,8,3,18,1,15,2,14,10,15,4,8,1,15,1,14,2,17,1,14,6,15,3,14,1,18,1,14,4,3,1,18,1,4,15,19,4,4,938,3,1,16,1,3,4,16,2,3,2,4,1,19,5,4,10,19,4,4,1,3,2,16,21,3,2,18,1,4,3,3,2,16,11,3,4,16,23,3,1,18,1,4,3,18,1,16,18,3,2,16,36,3,3,16,10,3,1,4,10,19,3,4,1,3,1,16,467,3,5,16,1,3,4,4,2,3,2,16,1,3,1,4,2,3,1,16,2,3,1,19,2,18,1,3,1,16,2,3,1,18,2,3,1,16,5,3,1,18,2,3,2,16,1,3,5,4,4,3,2,16,13,3,6,16,4,3,3,15,1,8,1,15,1,14,2,16,6,17,4,14,9,15,1,8,1,15,1,14,1,3,1,16,5,3,1,18,2,3,4,16,12,3,1,4,495,18,5,4,4,19,5,4,9,19,8,4,2,18,5,8,4,18,3,4,94,},
{4,422,19,5,4,2,18,1,3,2,14,1,8,2,10,2,8,1,7,1,14,1,7,1,15,2,14,1,15,1,18,2,4,107,19,6,4,2,18,3,3,1,14,3,3,1,14,2,15,1,18,1,8,3,18,1,15,1,14,7,15,1,14,2,17,1,14,1,15,1,7,1,8,4,14,7,15,3,18,9,4,958,16,10,3,1,4,1,19,4,4,10,19,4,4,1,18,1,3,2,16,20,3,1,4,4,18,1,16,13,3,4,16,23,3,1,4,3,18,1,3,1,16,18,3,2,16,36,3,2,16,11,3,1,4,10,19,4,3,1,16,468,3,3,16,5,3,1,4,3,3,3,4,2,3,1,16,2,3,1,19,1,4,1,18,1,16,4,3,3,16,5,3,11,4,5,3,2,16,12,3,2,18,3,3,1,16,4,3,1,16,2,14,5,17,1,16,1,17,1,14,1,7,4,14,11,15,5,14,1,16,4,3,2,18,1,9,4,3,1,16,11,3,1,19,1,4,494,18,2,8,3,18,3,4,2,19,5,4,9,19,8,4,1,18,5,8,6,18,4,10,1,4,90,},
{4,422,19,5,4,1,18,1,3,2,14,2,8,5,7,2,14,5,15,1,18,1,4,1,19,4,4,102,19,6,4,1,18,2,3,2,14,4,15,1,18,1,8,4,18,2,15,2,14,6,15,1,8,1,15,1,14,1,17,1,14,1,7,1,14,1,7,1,8,3,15,1,14,3,15,3,14,4,18,3,14,1,18,3,4,959,16,11,3,2,19,3,4,10,19,2,3,6,16,19,3,1,18,1,4,3,3,1,16,13,3,5,16,23,3,1,18,1,4,2,3,1,16,51,3,2,16,17,3,1,4,10,19,4,3,1,16,468,3,2,16,6,3,2,18,1,4,2,3,5,16,2,3,4,16,5,3,3,16,3,3,10,18,1,4,1,18,1,3,3,4,2,18,1,3,1,16,8,3,2,16,2,3,1,18,3,3,4,14,1,16,4,14,2,15,2,8,1,15,1,7,7,14,8,15,2,14,4,15,2,14,1,3,1,16,1,3,3,18,2,9,3,18,1,3,4,16,3,3,3,16,1,3,1,19,1,4,494,18,2,10,1,8,3,18,3,4,1,19,5,4,12,19,4,4,2,18,5,8,6,18,5,4,9,19,4,4,77,},
{4,422,19,5,4,1,18,1,3,2,18,1,8,4,15,2,8,1,15,2,14,4,18,2,4,1,19,4,4,102,19,6,4,1,3,2,14,1,18,2,14,3,18,1,8,2,10,1,8,2,15,4,14,4,15,3,8,2,14,6,8,3,15,7,14,2,18,6,4,4,19,1,4,957,3,1,16,12,3,1,19,2,4,11,19,1,16,4,3,2,16,11,3,1,16,7,3,1,4,3,3,1,16,7,3,1,16,1,3,9,16,25,3,1,4,2,3,1,16,6,3,10,16,36,3,1,16,17,3,1,4,10,19,4,3,1,16,21,3,2,16,455,3,2,18,1,3,3,16,5,3,2,16,6,3,3,16,3,3,7,16,2,3,1,18,2,3,1,16,2,3,1,19,1,4,2,3,2,16,7,3,2,16,2,3,6,14,2,3,1,16,4,3,1,14,2,15,1,8,4,15,1,8,2,15,1,14,8,15,3,14,4,15,1,8,1,15,1,14,2,3,3,14,1,18,3,9,1,10,4,3,2,16,2,3,5,4,496,10,5,8,1,18,2,4,1,19,5,4,12,19,4,4,2,18,5,8,7,18,6,4,6,19,6,4,76,},
{4,428,3,2,18,1,8,1,10,2,8,1,14,1,3,2,15,1,8,1,18,1,15,2,14,2,18,2,4,1,19,4,4,102,19,6,4,1,3,2,18,4,15,1,14,1,15,1,18,1,8,3,15,11,8,3,14,2,15,2,14,2,15,1,8,1,15,2,8,1,15,3,18,5,4,1,18,1,4,3,19,6,4,954,19,2,4,1,3,2,16,1,3,4,16,6,3,2,4,11,19,1,16,24,3,1,18,1,4,2,3,1,16,5,3,2,18,2,3,6,16,19,3,4,16,6,3,1,4,2,3,1,16,4,3,1,18,1,4,7,19,2,4,1,3,1,16,45,3,1,16,7,3,1,4,10,19,4,16,23,3,1,16,457,3,3,16,6,3,3,16,13,3,6,16,4,3,2,16,3,3,1,4,2,18,1,3,1,16,7,3,1,16,5,3,3,14,2,3,3,14,1,3,5,14,1,15,1,8,6,15,1,14,5,15,6,14,3,15,1,8,3,15,1,14,1,3,2,14,4,18,1,10,4,18,1,3,2,16,1,3,1,18,1,4,499,10,6,8,1,18,1,4,2,19,4,4,12,19,5,4,1,18,3,8,14,18,2,4,5,19,6,4,76,},
{4,427,3,3,18,1,10,3,18,1,3,3,18,8,4,3,19,2,4,103,19,6,4,1,18,6,15,1,14,3,15,7,18,1,8,2,15,3,14,1,15,5,8,1,15,1,14,2,15,4,8,1,15,2,14,1,18,4,4,4,19,7,4,955,19,2,4,8,3,1,16,7,18,1,4,10,18,1,16,19,3,4,18,1,4,3,19,1,16,3,3,3,18,2,10,1,18,1,3,5,16,20,3,4,16,6,3,1,19,2,18,1,3,1,16,1,3,2,4,9,19,2,18,1,3,1,16,44,3,3,16,6,3,1,4,10,19,2,4,2,3,1,16,21,3,6,18,1,3,1,16,448,3,1,16,3,3,2,16,7,3,1,16,14,3,2,16,13,3,1,4,3,3,2,16,8,3,1,16,4,3,7,18,1,3,2,14,1,3,1,16,2,3,1,15,1,8,2,10,1,8,2,15,1,14,3,15,1,18,4,15,8,8,3,15,1,14,4,3,2,14,1,8,1,10,2,8,1,18,3,3,2,4,500,10,2,8,1,10,5,4,3,19,3,4,12,19,5,4,2,18,1,10,2,8,14,18,2,4,4,19,6,4,76,},
{4,426,18,1,3,2,18,1,4,3,18,2,3,2,18,8,4,109,19,5,4,3,18,5,15,1,14,6,15,4,8,3,15,1,14,5,15,3,8,2,15,1,14,1,15,6,14,2,18,2,8,1,10,1,4,1,19,10,4,5,18,2,4,946,19,10,4,2,3,1,16,7,3,1,4,11,16,12,3,3,16,3,3,1,18,1,19,6,3,2,16,1,3,1,18,1,4,3,18,3,3,1,16,11,3,2,16,22,3,1,19,2,4,1,19,1,18,1,4,5,18,1,3,8,16,41,3,2,16,2,3,4,16,5,18,1,4,14,3,1,16,17,3,4,18,1,4,7,3,1,16,447,3,2,16,4,3,1,16,21,3,2,16,13,3,1,4,4,3,2,16,7,3,7,16,2,3,5,15,1,8,1,15,1,3,1,16,3,14,1,8,5,15,3,18,1,8,3,15,6,14,3,15,4,14,2,15,1,14,1,3,4,14,1,15,1,3,1,18,1,4,201,19,5,4,1,19,1,4,18,19,8,4,270,18,1,8,1,18,1,8,1,10,4,4,18,19,5,4,3,10,3,8,7,10,7,18,3,4,2,19,7,4,75,},
{4,426,18,1,3,1,18,1,4,4,18,5,4,2,18,3,4,111,19,4,4,4,18,1,14,3,18,1,15,1,14,3,3,1,14,2,15,1,8,1,18,2,8,1,18,1,15,1,14,6,15,7,8,2,15,4,14,3,18,1,8,1,10,1,4,1,19,10,4,5,18,1,3,1,4,946,19,9,4,2,18,1,16,8,3,1,4,11,3,1,16,6,3,5,18,4,3,2,4,2,19,6,16,2,3,1,18,1,4,3,18,1,3,3,16,12,3,2,16,22,3,1,19,3,4,6,18,1,3,1,16,49,3,2,16,3,3,1,18,1,3,2,16,3,3,1,4,16,3,2,16,14,3,1,4,12,3,1,16,447,3,2,16,4,3,2,16,20,3,2,16,12,3,1,4,5,18,1,3,1,16,7,3,4,16,5,3,5,18,1,9,1,8,1,15,1,3,1,16,2,3,1,15,1,18,1,8,3,18,9,15,5,14,3,15,7,14,1,16,4,3,2,18,1,4,200,19,10,4,2,19,22,4,270,18,3,8,2,10,3,18,1,4,18,19,4,4,3,10,3,8,6,10,9,18,3,4,1,19,7,4,75,},
{4,426,18,1,4,5,18,3,4,119,19,4,4,4,18,1,3,3,14,1,15,2,14,4,15,2,8,4,15,1,14,6,15,1,8,3,15,3,8,5,18,2,14,2,3,1,18,2,4,2,19,2,4,3,19,5,4,4,18,3,4,2,19,3,4,1,19,2,4,939,19,3,4,2,3,6,16,9,3,1,4,10,18,1,3,1,16,4,3,2,4,10,19,2,4,3,18,1,3,2,16,2,18,1,4,3,18,1,3,1,16,34,3,2,16,2,3,1,4,1,19,3,4,4,3,2,16,57,3,3,16,2,3,1,18,1,4,17,3,2,16,11,3,2,18,1,4,10,3,2,16,454,3,1,16,21,3,3,16,6,3,5,4,3,18,2,3,3,16,8,3,2,16,5,3,1,16,1,3,5,18,2,10,1,18,1,16,2,3,3,18,13,15,5,14,1,15,2,14,3,15,1,8,1,15,1,14,1,3,1,16,4,14,2,3,1,18,1,4,194,19,2,4,2,19,34,4,270,18,3,8,2,10,4,18,1,4,5,19,2,4,17,10,3,8,5,10,5,8,3,10,2,8,2,18,1,4,3,19,5,4,75,},
{4,433,18,1,4,120,19,4,4,3,18,2,3,3,14,1,15,8,8,3,15,2,14,5,15,1,8,4,14,2,15,1,8,1,15,2,8,2,18,1,14,1,18,1,14,1,3,1,18,1,4,9,19,4,4,4,18,4,4,1,19,6,4,940,19,2,4,1,3,1,16,15,3,1,4,11,18,2,3,1,18,2,3,1,18,1,4,10,19,2,18,1,3,1,16,5,3,1,4,3,18,1,3,1,16,35,3,4,4,1,19,4,4,3,3,1,16,55,3,2,16,2,3,5,18,1,4,19,18,1,3,2,16,3,3,5,18,2,4,10,18,1,3,1,16,479,3,3,16,4,3,5,18,1,4,2,18,1,3,2,16,18,3,1,16,3,3,4,18,1,10,2,3,5,18,13,14,1,15,8,14,1,15,2,8,1,15,1,14,2,17,1,16,3,14,1,15,1,3,3,18,1,4,189,19,4,4,3,19,34,4,270,18,2,8,4,10,3,8,1,18,1,4,4,19,3,4,16,10,12,8,4,10,6,4,4,19,4,4,74,},
{4,553,19,5,4,1,18,3,3,4,14,1,15,13,14,4,15,1,8,5,14,6,15,2,14,3,18,1,3,1,18,1,4,15,18,3,8,2,18,2,4,1,19,5,4,936,18,1,3,3,19,1,4,1,18,1,3,1,16,16,3,1,4,16,18,1,3,6,16,1,3,5,16,7,18,1,4,2,3,1,16,25,3,3,16,10,3,1,18,1,4,1,19,4,4,2,18,1,3,2,16,55,3,2,16,3,3,1,18,1,4,25,3,4,4,16,3,1,16,470,3,1,16,10,3,2,16,2,3,7,4,3,3,1,16,25,3,1,18,3,10,2,4,1,18,1,3,3,18,5,4,4,18,5,14,1,15,4,8,2,15,6,14,4,16,2,14,1,18,3,3,2,4,188,19,4,4,5,19,26,4,12,19,2,4,264,10,3,8,3,10,1,8,3,18,2,4,2,19,3,4,10,19,2,4,4,10,12,8,5,10,6,18,1,4,4,19,2,4,74,},
{4,552,19,6,4,1,18,1,3,4,14,2,15,9,14,5,15,4,8,2,15,1,8,3,14,10,18,4,4,15,18,3,8,2,18,2,4,1,19,5,4,936,3,1,16,3,3,3,16,17,3,1,18,1,4,15,3,1,16,18,3,1,4,3,16,25,3,1,18,2,3,1,16,9,3,1,18,1,4,1,19,4,4,2,18,1,16,46,3,2,16,15,3,2,4,26,18,1,4,18,3,1,16,482,3,10,18,1,4,2,3,1,16,7,3,2,16,2,3,2,16,3,3,5,16,4,3,1,18,5,4,2,18,2,4,14,18,2,14,2,15,1,18,1,8,2,15,6,14,2,15,1,14,2,3,1,14,1,18,3,3,1,18,1,4,188,19,4,4,5,19,7,4,2,19,16,4,2,18,3,4,7,19,6,4,262,10,2,8,9,18,1,4,2,19,2,4,8,19,5,4,2,18,1,10,14,8,3,10,7,18,1,4,4,19,3,4,72,},
{4,552,19,5,4,2,18,1,3,2,14,2,15,10,7,1,14,5,15,1,8,2,15,3,14,2,8,2,14,4,3,2,14,3,18,4,10,1,4,15,18,7,4,2,19,4,4,936,3,1,16,24,3,1,4,14,3,1,16,18,3,1,4,3,3,1,16,17,3,3,16,4,18,1,4,3,3,1,16,9,18,1,4,1,19,4,4,1,18,1,3,1,16,47,3,2,16,4,3,2,16,13,3,1,4,43,3,1,16,482,3,10,4,1,18,1,3,1,16,11,3,1,18,1,3,3,16,1,3,5,16,3,3,1,18,1,4,2,18,2,4,4,19,3,4,11,18,2,3,3,18,8,15,2,14,1,3,2,14,3,3,3,4,16,3,2,4,172,19,4,4,7,19,4,4,6,19,5,4,1,19,5,4,4,18,1,3,4,18,1,4,4,19,8,4,253,19,3,4,4,10,2,8,9,18,2,4,3,19,1,4,7,19,5,4,2,18,1,10,5,8,3,10,9,8,1,10,6,8,1,18,3,4,2,19,6,4,68,},
{4,552,19,4,4,3,18,1,3,2,14,1,15,10,7,2,14,5,15,1,8,4,15,1,14,2,8,2,14,7,18,2,8,2,10,3,4,12,18,6,15,1,18,3,4,2,19,4,4,935,18,1,16,26,4,14,3,1,16,18,18,1,19,2,18,1,16,17,3,3,16,4,3,1,4,4,16,8,3,2,4,1,19,5,18,1,3,1,16,48,3,2,16,4,3,2,16,13,3,1,4,44,3,1,16,481,3,12,16,12,3,1,4,1,18,1,3,2,16,1,3,2,4,2,3,3,18,2,4,3,18,1,3,1,18,1,4,2,19,5,4,12,18,6,3,2,18,6,3,2,18,2,14,1,3,3,4,16,3,3,4,172,19,3,4,3,18,2,4,8,18,2,4,4,19,1,4,11,18,2,3,3,16,1,3,1,18,1,4,4,19,7,4,252,19,5,4,3,10,1,8,11,18,2,4,2,19,1,4,7,19,5,4,2,18,1,10,16,8,1,10,8,8,1,18,3,4,1,19,6,4,68,},
{4,553,19,3,4,3,18,3,14,2,15,4,14,1,15,3,8,1,7,2,14,4,15,2,8,4,15,1,14,2,8,2,15,1,14,1,15,2,14,1,15,1,18,1,8,1,10,7,18,2,4,8,18,8,8,2,18,1,4,2,19,4,4,935,3,1,16,14,3,2,16,10,3,1,18,1,4,13,18,1,3,1,16,15,3,1,4,1,19,2,3,1,16,17,3,2,16,3,3,1,4,4,18,1,3,1,16,7,3,1,18,1,4,1,19,6,3,1,16,2,3,2,18,1,3,6,16,55,3,1,18,2,3,2,4,46,3,2,16,479,3,11,16,12,3,3,16,3,3,1,4,3,18,2,4,6,18,1,3,1,18,1,4,2,19,5,4,16,18,1,3,3,18,9,3,3,18,2,4,16,3,1,16,1,3,1,18,1,4,178,10,3,4,2,18,8,4,9,18,1,10,5,9,1,18,1,3,3,16,1,3,1,18,1,4,6,19,4,4,252,19,5,4,2,18,1,10,1,8,4,10,1,8,6,18,3,4,9,19,5,4,2,18,1,10,15,8,2,10,9,18,3,4,3,19,4,4,68,},
{4,552,19,4,4,2,18,3,14,8,15,3,8,1,7,2,15,5,8,6,15,2,8,3,15,2,8,4,10,8,18,3,4,5,18,3,3,1,14,1,18,3,8,3,10,1,18,1,4,2,19,3,4,935,3,1,16,15,3,1,16,12,3,1,4,14,18,1,3,2,16,12,3,1,4,1,19,3,3,1,16,17,3,6,4,3,3,1,16,8,3,2,4,2,19,5,4,1,3,3,18,1,4,2,18,2,3,4,16,55,3,1,4,51,18,1,3,1,16,480,3,9,16,16,3,2,4,17,19,5,4,17,18,1,3,1,18,1,4,2,18,3,4,4,18,3,4,18,3,1,16,2,3,1,4,178,10,2,8,1,18,2,9,3,18,6,4,6,18,2,3,2,18,1,10,4,8,2,18,1,3,1,16,2,3,1,18,1,4,1,18,3,4,1,19,4,4,252,19,6,4,2,18,1,8,4,10,1,8,6,15,1,18,2,4,9,19,5,4,3,18,1,10,12,8,4,10,10,8,1,18,3,4,1,19,4,4,68,},
{4,552,19,3,4,2,18,3,14,1,3,4,14,3,15,9,8,9,15,2,8,2,15,3,8,2,10,10,18,3,4,3,18,4,14,3,15,1,8,3,10,2,4,4,19,4,4,934,3,1,16,28,3,1,4,17,3,1,16,11,3,1,19,4,3,1,16,16,3,1,18,1,4,2,19,3,3,3,16,8,3,1,4,15,18,2,3,1,16,58,3,2,18,1,4,52,3,1,16,478,3,3,18,1,3,2,16,1,3,5,16,13,3,1,19,1,4,5,3,3,4,9,19,6,4,29,19,6,4,15,3,1,16,2,3,1,18,1,4,157,19,3,4,17,10,2,8,7,18,6,10,4,18,2,3,1,16,2,3,1,8,1,10,2,8,2,10,2,8,1,3,1,16,3,3,2,18,1,4,259,19,5,4,2,18,1,8,13,18,1,4,9,19,5,4,3,18,2,10,11,8,1,10,15,18,3,4,3,19,6,4,63,},
{4,552,19,2,4,3,18,2,15,1,3,5,14,3,15,2,7,4,15,3,8,8,15,6,8,7,18,2,8,1,10,4,18,7,8,1,15,1,14,3,7,1,8,4,10,2,4,4,19,4,4,934,3,1,16,1,3,2,16,26,18,1,4,17,3,2,16,9,3,1,19,4,3,1,16,17,18,1,4,3,19,2,3,1,16,6,3,4,4,15,3,3,16,10,3,2,16,39,3,1,16,5,3,6,4,52,3,1,16,477,3,2,18,2,3,1,16,3,3,2,18,1,3,1,16,6,3,2,16,5,3,1,4,5,18,1,3,4,18,1,19,2,4,9,19,1,4,27,19,10,4,13,19,1,16,3,3,2,4,157,19,4,4,16,10,1,8,8,18,6,8,1,10,4,18,1,16,4,3,1,10,7,18,1,16,5,3,1,18,1,4,258,19,5,4,2,18,1,8,13,10,1,18,1,4,9,19,1,4,5,18,3,10,10,8,1,10,16,8,2,18,3,4,3,19,4,4,63,},
{4,555,18,5,3,4,14,3,15,3,7,4,15,5,8,5,15,7,8,4,15,1,14,3,18,1,8,1,10,4,18,8,8,1,15,2,8,5,18,2,4,4,19,5,4,935,18,1,4,1,18,1,16,26,3,1,18,1,4,18,3,1,16,7,3,1,4,1,19,3,3,1,16,18,3,1,4,2,19,3,3,1,16,5,3,1,4,1,19,2,4,4,19,3,4,3,18,1,3,5,16,13,3,2,16,39,3,6,18,2,3,2,16,2,3,1,18,1,4,50,3,1,16,473,3,2,16,2,3,1,18,2,3,2,16,4,3,4,16,5,3,8,4,4,18,1,3,1,18,3,3,2,16,2,3,3,4,28,19,16,4,13,3,1,16,3,3,2,18,1,4,155,19,6,4,1,18,7,10,5,18,4,8,7,18,7,8,1,10,3,8,1,3,1,16,4,14,1,10,4,8,1,10,1,8,1,3,1,16,5,3,1,18,2,4,256,19,4,4,3,9,1,10,3,8,12,18,3,10,3,4,8,10,2,18,2,10,10,8,1,10,16,8,4,18,1,4,4,19,3,4,63,},
{4,554,18,1,3,3,18,1,14,1,3,2,14,4,15,13,8,4,15,8,8,3,15,1,14,4,18,1,8,1,10,4,18,4,8,1,15,3,8,1,7,1,8,6,18,2,4,4,19,5,4,938,3,2,16,26,3,1,4,18,3,4,16,3,3,1,4,1,19,1,4,1,3,1,16,19,3,1,4,2,19,3,3,1,16,2,3,2,18,1,4,2,19,10,4,2,3,1,16,60,3,4,18,1,4,2,18,1,3,1,16,3,3,1,4,50,3,1,16,472,3,3,16,2,3,4,16,6,3,4,16,4,3,4,4,2,18,2,4,4,3,6,16,5,3,1,4,28,19,16,4,12,3,2,16,4,3,1,4,155,19,6,4,2,18,8,10,3,8,1,18,4,8,9,18,6,8,1,10,3,18,1,3,1,16,4,18,1,10,2,8,2,10,2,8,1,18,1,8,1,14,1,3,1,16,2,3,2,18,1,4,254,19,5,4,3,18,1,10,2,8,14,18,1,9,1,10,5,4,6,10,3,8,1,10,9,8,1,10,18,8,4,18,2,4,2,19,4,4,37,19,4,4,21,},
{4,543,19,5,4,5,18,2,3,3,14,6,15,6,14,2,15,5,8,8,15,4,8,5,15,2,8,3,10,2,8,1,18,3,3,1,18,2,8,3,7,4,8,6,18,1,4,5,19,5,4,936,19,2,4,1,19,1,3,2,16,25,3,1,4,21,3,3,4,4,3,1,16,19,18,1,4,1,19,5,3,1,19,16,4,2,3,1,16,61,3,2,4,3,18,2,3,4,18,1,4,50,3,1,16,477,3,2,16,9,3,11,18,1,4,6,18,1,3,1,16,2,3,8,18,1,4,29,19,7,4,2,19,5,4,12,3,2,16,4,3,2,4,155,19,6,4,2,18,1,10,3,8,3,9,1,10,4,9,2,10,2,8,9,18,3,15,1,18,2,8,1,10,3,8,2,14,1,16,4,14,1,10,1,8,2,10,5,8,1,15,1,3,1,16,3,3,2,18,1,4,253,19,4,4,5,8,17,10,6,18,3,10,3,18,1,10,1,8,2,10,6,8,3,10,21,8,1,18,3,4,2,19,3,4,17,19,10,4,5,19,10,4,20,},
{4,542,19,6,4,4,18,2,3,4,14,5,15,6,14,3,15,5,8,6,15,6,8,8,10,3,8,1,18,1,3,4,18,1,8,5,7,3,8,6,18,1,4,8,19,1,4,938,19,2,4,1,18,1,16,26,3,1,4,28,3,2,16,4,3,2,16,7,3,2,16,1,3,2,4,2,19,3,4,4,19,13,4,3,3,2,16,62,3,1,4,2,18,1,3,2,18,1,4,2,18,1,3,1,18,1,4,49,3,1,16,476,3,1,16,11,3,4,18,1,3,2,18,1,3,1,16,2,3,1,4,6,3,1,16,5,3,2,4,1,18,2,3,2,4,34,19,1,4,4,19,2,4,13,3,1,16,6,3,2,4,155,19,6,4,2,18,1,10,5,8,3,10,3,9,1,18,1,10,2,8,10,18,1,15,1,18,1,15,2,18,1,8,1,10,5,15,1,16,3,3,1,8,2,10,6,8,1,10,1,8,1,14,1,16,4,3,1,18,1,4,253,19,1,4,7,18,3,8,14,10,6,8,1,18,1,8,1,10,2,18,2,10,1,8,3,10,5,8,3,10,21,8,2,14,1,3,1,18,1,4,2,19,1,4,17,19,12,4,4,19,10,4,20,},
{4,537,19,10,4,2,18,6,3,3,14,4,15,6,14,3,15,20,8,9,18,2,3,3,18,2,10,1,8,5,7,3,8,5,10,1,4,942,3,5,4,1,19,2,3,1,16,26,3,1,4,30,3,4,18,2,3,2,16,3,3,3,18,1,4,11,19,11,4,2,3,4,16,64,3,1,4,2,3,4,4,2,3,4,4,48,3,1,16,474,3,3,16,11,3,9,16,3,3,1,4,4,18,1,3,1,16,6,3,2,18,2,3,4,4,1,19,3,4,48,3,1,16,7,3,1,4,155,19,6,4,3,18,3,4,1,18,5,9,1,8,1,18,3,9,1,8,10,18,6,8,3,10,3,8,1,14,1,16,2,14,1,8,2,10,5,8,2,10,1,8,2,14,1,3,4,10,2,4,9,19,1,4,250,18,3,15,1,8,14,10,6,8,1,10,7,8,2,10,6,8,1,10,22,8,2,18,3,4,18,19,14,4,4,19,10,4,20,},
{4,536,19,10,4,2,18,1,3,1,18,5,3,3,14,1,15,8,14,3,15,15,7,1,15,5,8,4,15,3,8,2,18,2,14,2,18,3,8,2,7,3,8,3,7,4,15,1,18,1,8,1,4,942,3,2,16,3,3,1,19,2,3,1,16,26,3,1,4,31,18,2,4,4,18,1,3,3,18,1,4,14,19,5,4,1,19,4,4,1,18,1,3,1,16,68,3,1,18,2,3,1,16,1,3,2,4,2,3,1,16,2,3,1,4,48,3,1,16,474,3,11,16,3,3,1,18,3,3,1,18,2,3,3,16,1,3,2,4,4,3,1,16,8,3,2,18,1,3,2,16,2,19,4,4,47,3,1,16,8,3,1,18,1,4,154,19,7,4,7,18,4,8,2,18,3,10,1,8,10,18,6,15,1,18,1,8,1,10,3,8,2,14,3,15,1,8,1,10,2,8,5,10,3,8,2,14,1,3,2,8,1,10,1,18,1,4,7,19,4,4,249,18,4,8,14,10,13,8,3,10,5,8,1,10,14,8,2,10,6,8,3,18,3,4,14,19,16,4,6,19,9,4,20,},
{4,535,19,8,4,4,18,2,3,2,18,3,14,2,3,1,14,1,15,1,8,1,15,28,8,5,7,1,14,3,15,1,8,5,18,5,7,4,8,5,7,2,15,2,18,1,4,943,3,2,16,2,3,1,19,2,4,1,18,1,3,2,16,24,3,4,18,1,4,3,3,3,18,1,4,44,19,4,4,2,3,5,16,68,3,11,16,3,3,1,4,48,3,1,16,475,3,5,18,1,3,7,18,1,4,7,18,3,4,6,3,1,16,9,3,4,16,2,19,1,4,1,19,3,3,1,4,3,18,1,3,2,18,1,4,34,19,1,3,4,16,8,3,1,18,1,4,154,19,10,4,2,19,1,4,1,18,1,8,3,10,2,8,2,10,5,8,7,18,6,14,1,15,1,8,1,10,1,8,6,15,2,8,2,10,1,8,1,18,1,8,1,10,4,8,3,18,1,16,2,14,1,18,2,4,6,19,5,4,250,18,3,8,15,10,12,8,3,10,12,8,3,10,4,8,4,10,4,8,2,10,1,8,2,18,2,4,13,19,10,4,18,19,5,4,2,19,5,4,12,},
{4,534,19,6,4,4,18,5,3,1,14,8,15,1,8,2,15,9,8,3,15,7,8,3,15,3,8,6,7,4,15,1,8,6,18,1,15,1,14,3,7,4,8,6,15,1,14,2,18,1,4,942,18,1,3,2,16,2,3,1,19,2,4,2,18,1,3,1,16,28,3,2,18,1,3,1,16,3,3,1,4,45,19,3,18,1,3,1,16,72,3,10,16,5,3,1,4,48,3,1,16,475,3,2,18,1,4,2,18,8,4,14,18,1,4,1,18,1,3,3,16,8,3,3,16,2,3,1,4,1,19,2,18,1,3,1,4,2,18,1,3,4,18,1,4,32,19,1,3,1,16,12,3,1,18,1,4,156,19,11,4,2,18,2,10,3,8,2,10,3,8,9,18,6,15,1,18,1,8,5,10,2,8,1,15,1,14,1,8,4,18,1,8,1,10,4,8,2,10,1,8,1,14,1,3,3,18,4,4,3,19,5,4,250,18,1,9,1,8,16,10,8,8,1,10,4,8,2,10,4,8,2,10,5,8,5,10,3,8,5,10,7,8,1,18,4,4,11,19,8,4,2,18,3,4,1,18,11,4,7,19,8,4,12,},
{4,534,19,5,4,4,18,7,14,2,3,4,14,2,15,11,8,3,15,3,14,1,15,2,8,15,7,1,8,5,15,2,14,4,18,3,8,1,7,2,8,8,15,1,14,1,18,2,4,939,18,1,3,2,16,5,3,6,16,29,3,3,16,3,3,1,4,44,18,1,3,3,16,70,3,2,16,4,3,6,16,6,3,1,18,1,4,48,3,1,16,474,3,2,4,3,18,1,3,3,18,6,4,2,18,2,4,8,3,4,18,2,3,1,16,7,3,3,16,3,3,1,4,1,19,2,4,1,18,1,3,4,16,1,3,2,18,1,4,2,18,2,4,26,18,1,3,3,16,12,3,1,18,2,4,157,19,10,4,3,18,1,10,2,8,14,18,3,15,1,18,2,8,2,15,1,18,1,8,1,10,3,8,1,15,1,14,2,8,1,10,1,8,11,10,1,8,1,18,1,3,5,18,3,4,4,19,1,4,252,10,2,8,13,10,15,8,2,10,3,8,3,10,5,8,6,10,2,8,5,10,6,8,2,18,4,10,5,4,6,19,8,4,1,18,2,3,1,18,17,4,3,19,10,4,1,19,2,4,7,},
{4,534,19,4,4,3,18,9,15,1,14,1,3,3,14,4,15,3,14,1,15,5,8,2,15,3,14,3,15,4,8,19,15,1,14,5,18,3,8,7,7,1,8,3,15,1,14,1,18,2,4,939,3,1,16,11,3,2,16,35,3,1,4,4,18,1,3,3,18,1,4,35,3,1,16,60,3,1,16,11,3,11,16,7,3,2,4,49,3,1,16,468,3,7,18,1,4,3,3,3,18,2,3,9,4,8,18,1,3,1,16,1,3,2,18,1,3,1,16,7,3,4,16,2,3,1,18,1,4,1,19,1,4,1,18,1,3,1,16,1,3,2,16,1,3,2,18,2,3,3,18,1,4,23,19,1,3,3,16,13,3,5,4,156,19,12,4,2,18,1,8,15,18,3,15,2,18,1,8,2,15,2,8,1,10,2,8,2,14,2,15,1,8,1,10,1,8,2,10,2,8,1,18,1,8,6,10,2,14,1,3,5,18,2,4,258,10,4,8,9,10,4,8,1,10,14,8,5,10,5,8,6,10,2,8,5,10,5,8,2,18,3,8,2,10,4,8,1,18,1,4,6,19,6,4,2,18,9,8,9,18,3,4,3,19,13,4,6,},
{4,532,19,6,4,2,18,5,15,3,18,1,15,2,14,6,15,1,14,3,15,2,14,1,15,2,8,4,15,3,14,1,15,2,14,2,15,7,7,5,8,1,7,3,8,6,15,1,8,3,15,2,14,1,15,1,18,3,15,6,8,3,15,2,18,5,4,935,3,1,16,11,3,2,16,35,3,1,4,2,19,2,3,1,16,4,3,1,4,34,3,1,16,55,3,2,16,4,3,2,16,4,3,3,16,1,3,3,18,1,3,5,16,8,3,2,4,51,3,1,16,468,3,13,18,1,4,1,18,1,3,2,16,1,3,1,16,3,3,2,18,1,4,8,18,1,16,13,3,4,16,2,3,1,4,3,18,1,3,1,16,4,3,7,18,3,4,21,3,1,16,16,3,5,4,161,19,7,4,2,18,1,8,1,10,2,8,3,15,5,18,2,8,1,18,7,8,2,18,1,15,1,8,8,10,4,9,3,18,3,10,2,18,2,8,2,10,1,8,2,14,3,8,1,10,3,4,4,19,2,4,1,19,3,4,239,19,5,4,5,18,1,8,10,10,2,8,4,10,12,8,4,10,7,8,6,10,1,8,5,10,5,8,1,18,4,8,2,10,3,8,3,18,2,4,5,19,3,4,3,10,1,8,1,18,5,8,13,18,4,4,5,19,9,4,6,},
{4,532,19,6,4,1,18,5,8,1,15,2,14,2,15,3,14,4,15,3,7,1,15,5,8,4,15,2,14,2,15,4,14,2,15,6,7,9,8,11,15,1,14,3,18,4,15,1,14,2,15,2,8,2,15,2,18,5,4,936,3,1,16,47,3,1,4,1,19,3,3,1,16,5,3,1,4,33,3,2,16,55,3,1,16,4,3,4,16,1,3,9,18,5,3,2,16,3,3,4,4,52,3,1,16,469,3,8,16,3,3,2,18,2,3,1,16,6,3,2,18,1,4,3,18,2,4,4,3,1,16,13,3,3,16,2,3,1,4,4,3,1,16,4,3,2,16,2,3,5,18,1,4,20,3,2,16,16,3,5,4,162,19,6,4,2,18,1,8,1,10,3,8,3,18,1,15,4,18,11,8,1,18,2,15,1,18,1,8,4,10,4,8,1,18,6,10,2,8,1,18,1,8,2,10,3,8,1,14,2,8,1,10,3,4,4,19,6,4,238,19,6,4,6,10,1,18,4,8,11,10,6,8,2,10,4,8,2,10,10,8,5,10,3,8,2,10,7,18,4,8,9,18,1,4,10,18,2,8,1,10,1,8,18,18,6,4,5,19,6,4,6,},
{4,532,19,5,4,2,18,1,3,1,18,4,15,1,14,3,15,1,8,2,14,4,15,1,8,4,15,2,8,6,15,2,14,2,15,1,8,2,15,4,8,3,15,2,7,6,8,6,7,3,15,1,8,4,15,1,14,2,3,3,14,1,15,2,14,2,15,2,8,2,15,2,18,5,4,937,3,1,16,46,3,1,19,3,4,1,3,1,16,6,3,1,4,20,18,1,3,6,4,6,18,1,3,1,16,59,3,15,18,2,4,3,18,1,3,1,4,2,3,3,4,53,16,471,3,5,18,1,3,1,16,4,3,4,16,5,3,2,18,3,3,4,18,1,4,3,18,1,3,1,16,14,3,2,16,2,4,4,3,1,16,3,3,2,16,5,3,3,18,1,4,4,19,2,4,11,18,1,3,4,16,18,3,3,4,162,19,6,4,2,18,1,8,1,10,3,8,1,10,1,8,2,18,1,15,1,14,1,15,2,18,10,9,2,18,1,15,1,8,1,10,1,8,4,10,2,8,2,18,4,9,1,10,1,9,1,8,1,10,3,8,3,10,2,18,1,14,1,8,2,10,3,4,3,19,6,4,238,19,6,4,7,18,5,8,9,9,1,10,6,8,2,10,5,8,1,10,10,8,5,10,12,8,1,18,4,8,8,18,1,4,8,18,4,8,1,10,3,8,15,10,2,18,8,4,6,19,2,4,6,},
{4,532,19,4,4,3,18,1,3,2,18,3,14,4,15,1,8,2,15,1,14,2,15,1,8,13,15,4,18,1,8,13,7,2,8,8,15,9,14,2,3,3,14,5,15,2,8,2,15,2,18,5,4,937,3,1,16,46,3,1,19,3,4,1,3,1,16,6,3,1,4,12,3,4,19,2,3,3,16,6,3,1,19,1,4,5,18,1,3,1,16,57,3,6,16,1,3,3,16,4,3,4,4,8,18,1,4,53,19,1,16,474,3,2,18,1,3,2,16,5,3,8,18,1,10,2,18,1,3,1,16,3,3,1,4,4,18,1,16,14,3,2,16,2,3,1,4,3,3,1,16,3,3,2,16,6,3,2,18,1,4,3,19,5,4,8,3,3,16,23,3,1,18,1,4,1,18,2,4,159,19,6,4,1,18,1,8,1,10,6,8,3,15,4,18,9,9,2,18,1,15,1,8,1,10,1,8,7,18,1,8,1,18,3,9,1,10,1,18,1,8,1,10,4,15,1,14,1,8,2,15,2,18,1,8,3,10,2,4,3,19,5,4,239,19,5,4,12,18,1,10,1,8,9,10,5,8,3,10,16,8,3,10,15,8,11,4,8,10,1,18,2,3,1,18,1,8,1,10,5,8,9,10,2,8,1,10,4,18,12,4,9,},
{4,532,19,4,4,3,18,2,14,1,18,2,15,1,14,3,15,2,8,2,15,3,8,3,15,3,8,9,18,2,8,1,18,1,8,12,15,4,8,3,15,11,14,4,3,3,14,4,15,1,8,2,7,2,8,2,18,4,4,932,18,1,3,2,16,1,3,4,16,45,3,1,19,3,4,1,3,1,16,6,3,1,4,11,19,1,3,1,16,16,3,1,4,6,3,1,16,56,3,3,16,15,3,1,4,61,3,1,16,475,3,2,18,1,3,2,16,4,3,1,18,1,4,3,18,1,3,3,18,1,10,1,18,1,3,1,16,3,3,2,4,2,19,2,3,1,16,13,3,1,16,4,18,1,4,2,3,6,16,7,3,1,4,4,19,6,4,5,3,3,16,25,3,2,18,2,3,2,4,3,19,1,4,156,19,4,4,1,18,2,8,1,10,7,8,2,15,3,18,2,8,1,18,1,8,7,18,1,15,1,8,20,10,2,8,1,15,1,14,2,15,1,8,1,18,1,8,3,9,2,18,1,4,2,19,5,4,239,19,5,4,3,19,4,4,7,18,6,8,4,10,6,8,1,18,2,8,1,10,32,8,8,10,2,18,1,4,7,10,1,8,1,18,1,3,2,18,1,10,7,8,3,7,2,8,2,10,5,8,1,10,1,8,10,18,11,},
{4,533,19,2,4,4,18,2,14,1,15,2,14,4,15,7,8,2,15,1,14,2,15,1,8,4,18,1,8,19,15,5,8,2,15,1,14,3,15,1,8,4,15,2,14,11,7,6,8,2,18,3,4,933,18,1,16,6,3,1,16,45,3,1,4,2,19,1,4,1,18,1,3,1,16,6,4,11,19,1,16,18,3,1,4,5,18,1,3,1,16,2,3,4,16,9,3,2,16,38,3,2,16,16,3,1,18,1,4,59,18,1,3,2,16,475,3,1,18,2,3,1,16,4,3,1,18,1,4,4,3,3,18,2,3,1,16,4,3,3,4,1,19,3,3,1,16,11,3,1,16,5,3,1,4,2,3,5,16,6,3,1,16,1,3,1,4,4,19,6,4,5,3,2,16,26,3,2,18,1,3,2,18,1,4,2,19,3,4,155,19,4,4,1,18,1,8,2,10,3,8,2,10,3,8,2,15,2,8,9,18,2,8,3,18,1,8,7,9,1,8,11,10,2,8,1,14,2,15,1,18,1,15,1,18,1,8,3,18,3,4,247,19,2,4,3,19,6,4,6,18,6,8,5,10,5,8,1,18,2,8,1,10,8,8,5,10,5,8,2,10,13,8,7,10,3,18,2,4,5,18,1,10,1,18,2,3,1,18,1,8,1,10,1,8,1,10,4,8,3,7,3,8,1,10,3,8,3,10,5,8,10,18,1,8,6,},
{4,538,18,2,15,1,14,13,15,4,14,2,15,4,8,14,15,12,8,1,15,2,14,3,15,1,8,4,15,2,14,6,15,1,8,2,15,1,14,1,15,1,7,4,8,2,18,4,4,934,3,1,16,52,3,1,18,1,4,3,18,1,3,1,16,5,4,12,3,1,16,18,3,1,18,1,4,5,3,2,18,1,4,3,3,1,16,8,3,3,16,38,3,1,16,16,3,2,18,1,4,54,18,4,3,6,16,473,3,1,18,1,3,2,16,3,3,4,18,2,3,4,18,1,3,1,16,4,3,3,18,1,4,1,19,1,4,1,18,1,16,16,3,1,4,3,3,5,16,5,3,4,18,2,4,2,19,6,4,6,3,1,16,25,3,1,18,1,3,2,18,2,4,2,19,4,4,155,19,1,4,2,19,1,4,1,10,5,8,3,10,2,8,3,15,1,8,6,10,1,9,1,8,15,9,1,8,11,10,3,8,1,15,2,14,2,15,1,18,1,8,2,18,1,14,1,3,1,18,2,4,4,19,5,4,241,19,6,4,9,18,2,8,1,15,1,8,1,15,1,8,3,10,4,9,1,8,1,9,1,10,8,8,6,10,4,8,7,10,9,8,10,18,3,10,2,18,3,9,1,10,1,8,1,18,3,8,3,10,2,8,5,7,2,8,2,10,1,8,4,10,5,8,7,10,2,8,8,},
{4,537,18,3,15,1,14,3,15,1,14,6,15,12,8,13,15,18,14,1,15,2,8,4,15,4,14,3,15,1,18,1,8,2,15,3,14,3,7,1,8,2,18,3,4,935,19,1,3,1,16,52,3,1,18,1,4,3,18,1,3,2,16,2,3,1,4,12,3,1,16,7,3,4,16,8,3,1,18,1,4,4,18,2,4,5,3,3,16,6,3,1,16,27,3,1,16,23,3,3,16,1,3,2,16,1,3,2,4,50,18,1,4,2,3,4,18,2,4,3,3,1,16,473,3,4,16,3,3,1,16,3,3,8,16,4,3,5,4,3,3,1,16,9,3,1,16,4,3,1,18,1,4,3,3,4,16,6,3,1,18,6,4,1,19,6,4,1,19,2,4,3,3,1,16,22,3,1,16,2,3,1,18,1,3,4,4,2,19,4,4,160,18,1,10,4,8,15,9,1,8,21,9,1,8,6,10,4,8,2,14,1,3,2,14,1,15,2,14,1,3,2,14,1,18,1,4,4,19,6,4,240,19,6,4,10,10,1,8,3,15,1,8,4,10,1,8,1,10,12,8,7,10,3,8,7,10,13,8,6,18,3,8,1,10,2,18,4,10,1,8,1,18,4,8,9,18,1,8,8,10,5,8,6,10,2,8,8,},
{4,536,18,4,14,3,15,9,8,2,15,7,8,15,15,8,14,2,15,6,8,1,15,4,8,3,15,10,8,3,15,2,14,2,15,2,8,2,18,2,4,937,18,1,3,1,16,52,3,1,18,1,4,4,18,1,3,3,4,12,3,1,16,6,3,1,14,4,16,8,3,5,18,2,4,8,18,1,3,1,16,31,3,2,16,23,3,1,4,2,3,4,16,2,3,1,18,1,4,47,3,4,18,3,3,1,18,1,4,5,18,1,16,474,3,3,16,8,3,1,18,2,3,3,16,5,3,2,16,3,3,1,19,2,4,1,3,1,16,8,3,1,16,4,3,1,18,1,4,3,3,2,16,7,3,1,18,1,10,4,18,2,4,1,19,6,4,1,3,3,19,1,4,1,3,2,16,24,3,3,16,1,3,4,4,2,19,2,4,159,18,1,3,2,18,1,8,1,10,3,8,15,18,2,8,7,9,5,8,7,9,1,8,6,10,4,8,1,14,1,3,1,16,1,3,5,18,3,4,4,19,7,4,239,19,6,4,10,10,2,8,10,10,11,8,7,10,3,8,7,10,13,8,5,10,1,8,1,18,3,8,1,10,1,8,1,18,3,9,1,10,1,18,4,8,9,18,1,8,9,10,5,8,5,10,2,8,8,},
{4,536,18,2,3,1,14,3,15,2,14,2,15,1,18,1,15,1,18,2,8,3,15,4,8,18,18,1,15,1,8,3,15,10,8,4,15,5,14,2,15,2,8,4,15,3,8,2,15,6,18,4,4,939,18,1,3,2,16,8,3,1,16,37,3,3,16,1,3,1,4,5,18,2,4,13,18,1,3,4,14,3,15,1,8,1,15,1,14,2,16,3,3,1,14,3,3,1,16,4,17,1,18,2,4,8,3,1,16,30,3,3,16,22,3,1,18,1,4,2,18,1,3,3,16,2,3,1,18,1,4,46,3,1,16,3,3,1,18,1,4,2,18,2,4,6,3,1,16,474,3,2,16,9,3,1,18,1,3,2,16,6,3,2,16,3,3,1,19,3,4,1,3,3,16,5,3,2,16,2,3,2,4,4,3,1,16,7,3,3,18,2,10,2,4,3,19,6,4,1,19,1,16,2,3,4,16,29,3,4,4,1,19,2,4,159,18,1,3,3,14,1,8,1,10,2,8,13,18,2,8,8,9,3,10,1,9,1,8,1,18,2,8,5,9,2,8,6,10,4,18,1,3,1,16,4,3,1,18,1,4,7,19,8,4,239,19,1,4,1,19,2,4,11,10,3,8,9,10,4,8,1,10,8,8,6,10,2,8,7,10,14,8,3,10,3,8,1,18,3,8,1,10,1,9,1,18,3,10,1,18,4,8,20,10,4,8,5,10,2,8,8,},
{4,531,19,3,4,3,18,1,3,1,14,2,15,3,14,2,15,1,8,3,15,5,14,2,15,1,8,15,18,3,8,6,15,5,8,8,15,4,14,3,15,2,8,5,15,3,8,2,15,2,8,2,14,2,18,3,4,909,3,2,18,1,4,25,19,2,4,2,18,1,3,1,16,4,3,3,16,38,3,5,18,2,10,1,18,2,4,4,18,1,4,11,18,1,3,4,14,2,15,2,14,3,3,4,14,8,3,1,16,1,3,4,18,2,4,3,18,1,3,1,16,16,3,3,16,6,3,4,16,20,3,5,4,2,18,1,3,7,18,1,4,47,3,1,16,2,3,2,4,3,18,3,4,4,18,1,3,1,16,485,3,4,16,6,3,2,16,4,3,1,19,3,4,1,3,4,16,2,3,4,16,1,3,1,4,4,18,1,3,1,16,7,3,5,18,1,4,5,19,5,4,2,3,1,16,31,3,7,18,1,4,162,18,1,3,1,16,2,14,1,8,1,10,1,8,5,10,4,8,7,10,2,9,1,8,5,9,3,8,1,15,1,14,2,18,1,8,4,9,3,8,10,18,1,3,1,16,4,18,1,4,9,19,6,4,248,19,4,4,4,8,3,15,1,7,3,8,2,10,3,8,3,10,5,8,1,10,3,8,5,10,2,8,1,10,3,8,3,10,14,8,3,10,4,8,2,18,2,8,1,10,1,9,1,18,1,9,1,10,1,18,3,8,40,},
{4,530,19,5,4,2,18,3,15,1,14,5,18,1,8,2,15,1,14,7,15,1,8,11,18,7,8,6,15,4,8,9,15,2,14,5,15,1,8,5,15,2,14,1,15,1,8,2,15,2,8,1,15,1,14,1,3,1,18,1,4,910,19,1,3,1,16,1,3,2,4,2,19,1,4,18,19,1,3,2,19,4,4,1,18,1,3,4,18,2,3,1,16,38,3,6,18,3,3,1,4,3,18,1,3,2,18,1,3,3,18,1,4,6,3,1,16,1,3,3,14,4,17,1,16,2,14,7,15,4,14,1,16,4,3,3,18,1,4,3,3,2,16,14,3,5,16,4,3,3,16,17,3,2,16,3,3,4,18,1,4,2,3,4,18,1,4,50,18,1,3,1,16,2,3,1,18,1,4,4,18,4,4,2,3,2,16,486,3,1,18,1,3,2,16,12,3,1,19,2,4,5,18,1,3,2,18,2,3,2,4,5,3,1,16,7,3,4,16,1,3,1,18,1,4,6,19,4,4,2,3,1,16,31,3,7,4,164,18,1,3,1,16,1,14,1,8,4,15,1,8,2,10,7,8,3,10,4,9,1,8,4,9,3,8,1,15,1,14,2,18,1,8,5,9,2,8,10,10,1,15,1,16,4,3,1,4,10,19,5,4,248,19,6,4,2,8,2,15,2,7,3,15,1,8,1,10,1,8,5,10,4,8,3,10,3,8,8,10,3,8,1,10,16,8,3,10,4,8,1,18,3,10,2,9,1,10,2,8,18,10,4,8,21,},
{4,530,19,6,4,2,9,1,8,1,18,1,14,4,15,1,18,1,8,1,18,1,14,1,3,4,14,3,18,1,8,3,18,5,15,1,18,9,8,6,15,4,8,5,15,4,14,3,15,5,8,2,18,1,15,1,14,5,15,5,14,2,3,1,18,1,4,910,3,1,16,4,3,4,4,16,3,2,16,2,3,1,4,1,19,2,4,2,18,2,4,4,3,1,16,1,3,4,16,34,3,5,14,1,18,1,3,2,18,1,4,2,18,1,3,8,18,1,4,3,18,1,3,1,16,4,14,4,16,4,14,8,7,1,8,1,7,1,16,3,3,2,18,1,3,2,4,4,18,1,3,1,16,12,3,5,16,14,3,3,16,7,3,1,18,2,3,1,16,2,3,2,18,2,4,3,3,1,16,2,3,1,4,47,3,5,16,2,3,1,18,2,4,4,18,6,3,1,16,487,3,1,18,2,3,1,16,13,3,1,4,3,19,4,4,1,18,3,4,7,3,1,16,4,3,9,4,7,19,4,4,3,3,1,16,26,3,1,16,3,3,3,18,4,4,165,18,1,14,2,18,1,8,2,15,1,14,1,15,1,8,2,10,1,8,4,10,1,8,3,10,5,8,5,9,1,8,2,18,1,15,2,8,7,9,1,10,1,9,1,8,4,18,1,8,1,9,1,10,2,18,1,3,1,16,3,3,6,18,2,4,3,19,6,4,247,19,6,4,2,18,2,15,1,14,2,15,3,8,7,10,4,8,3,10,3,8,9,10,1,8,3,10,13,8,7,10,3,8,1,18,2,8,1,10,3,8,11,10,1,8,7,10,5,8,12,10,3,8,5,},
{4,530,19,6,4,2,10,1,8,2,14,4,18,3,15,1,3,2,16,1,3,2,14,2,15,1,8,3,18,2,15,2,18,12,8,5,15,6,8,2,15,3,14,6,15,4,8,1,15,3,14,7,15,1,14,4,18,2,4,911,3,1,16,8,18,1,4,15,3,2,16,3,3,1,19,2,4,2,3,1,18,1,4,4,3,1,16,1,3,4,16,34,3,5,14,2,3,2,18,2,4,1,18,1,3,7,16,1,3,1,4,3,18,1,3,1,16,2,17,2,14,4,16,4,17,1,14,8,7,1,6,1,16,3,3,1,18,2,3,2,18,1,4,3,18,1,3,2,16,6,3,7,16,16,3,4,16,2,3,2,16,1,3,2,4,3,3,5,18,4,3,4,18,1,4,1,19,3,4,42,3,1,16,7,3,1,18,8,9,2,18,1,3,1,16,488,3,4,16,13,3,2,18,1,4,2,19,3,4,12,3,1,16,3,3,9,18,1,4,6,19,4,4,2,18,1,3,2,16,25,3,2,16,3,3,3,18,3,4,165,10,1,8,1,18,2,8,1,18,1,15,1,14,2,18,1,8,13,10,2,8,9,18,2,8,2,18,4,8,2,9,3,8,2,18,4,8,1,10,2,8,1,14,1,3,4,16,3,3,2,18,3,4,2,19,6,4,246,19,6,4,2,18,4,15,2,8,5,10,1,8,4,10,3,8,3,10,3,8,14,10,1,8,1,10,11,8,6,10,3,8,1,18,2,8,1,10,3,8,10,10,5,8,4,10,6,8,7,10,2,8,1,10,9,},
{4,528,19,8,4,2,18,3,15,1,14,2,15,1,18,3,14,1,3,5,14,1,15,1,18,1,8,3,15,4,18,10,8,7,15,10,14,7,15,4,8,1,15,2,14,2,3,1,16,1,17,1,14,6,3,2,18,1,4,2,19,2,4,909,3,1,16,7,3,4,4,14,18,1,3,7,16,1,3,1,4,4,3,6,16,36,3,8,18,3,14,1,16,2,3,5,18,1,4,3,18,1,3,1,16,1,3,1,14,3,7,3,14,1,16,5,17,1,14,4,17,2,14,1,16,5,18,2,3,3,18,4,3,5,16,1,3,3,18,3,3,2,16,18,3,3,16,2,3,3,18,1,4,3,18,1,3,10,4,4,19,4,4,40,18,1,3,1,16,5,3,3,14,1,18,3,3,1,18,3,9,2,18,1,3,1,16,490,3,3,16,10,3,3,16,1,3,4,18,2,4,8,18,1,3,1,18,1,4,2,18,1,3,1,16,3,3,1,16,6,3,2,4,6,19,3,4,3,3,1,16,1,3,1,16,26,3,1,16,5,3,4,18,2,4,163,10,3,8,3,18,1,15,1,18,2,8,7,10,2,8,2,18,1,8,2,10,3,8,6,9,3,8,1,18,2,15,2,14,1,15,1,18,1,8,7,18,1,3,1,14,1,10,3,18,1,3,11,18,1,4,2,19,7,4,244,19,8,4,2,18,3,8,7,10,2,8,6,10,6,8,15,10,14,8,2,18,1,8,2,10,2,8,3,10,4,8,9,10,6,8,5,10,7,8,4,10,3,8,2,10,8,},
{4,527,19,8,4,3,18,1,15,1,18,1,15,2,14,1,15,1,18,1,15,2,14,1,3,4,14,1,15,1,8,2,18,1,15,6,18,2,15,1,18,2,8,12,15,5,14,11,15,5,8,1,15,2,14,3,16,1,17,1,14,6,3,2,4,1,19,5,4,908,3,1,16,10,3,1,4,15,18,1,3,1,16,1,3,2,16,4,18,1,4,2,18,1,3,5,16,37,3,6,14,1,3,2,14,1,18,1,15,1,3,1,16,1,3,5,18,1,4,3,18,1,3,1,16,1,3,1,14,9,16,2,17,1,14,5,17,2,14,1,16,5,3,1,18,2,14,1,3,2,18,2,3,8,18,5,3,2,16,18,3,8,4,4,18,1,3,9,18,1,4,3,19,5,4,40,3,1,16,4,3,5,14,4,3,2,18,3,3,2,16,487,3,3,16,3,3,1,16,10,3,3,16,3,3,1,16,2,3,2,4,1,19,1,4,5,19,1,3,2,4,3,3,1,16,9,3,2,18,1,4,3,3,2,18,1,4,6,3,1,16,28,3,2,16,5,3,5,4,163,10,4,8,13,10,3,8,1,18,1,8,2,10,4,9,1,8,1,18,2,8,2,9,2,18,1,15,3,14,4,18,1,8,6,18,1,3,2,8,1,10,2,18,1,3,1,16,2,3,2,18,3,3,2,18,2,4,3,19,6,4,237,19,16,4,3,18,1,8,2,10,2,8,3,10,1,8,7,10,6,8,15,10,5,8,6,10,4,8,5,10,2,8,2,10,4,8,9,10,7,8,6,10,11,8,3,10,8,},
{4,526,19,7,4,4,18,2,14,1,15,1,8,2,15,3,14,3,3,2,14,3,15,4,14,2,15,6,8,15,15,5,14,6,15,11,8,1,15,2,14,4,7,1,8,1,15,1,14,2,3,2,18,1,4,1,19,5,4,908,3,2,16,9,3,1,4,15,19,1,3,1,16,1,3,4,16,2,3,1,18,4,3,2,16,1,3,1,16,4,3,3,16,30,18,1,10,1,18,1,3,2,14,2,3,2,14,1,8,2,14,1,16,1,14,2,17,1,3,2,18,1,4,4,3,1,16,4,3,3,16,2,14,1,15,1,3,2,14,2,16,2,14,4,15,1,14,1,16,4,3,1,8,1,9,1,18,1,3,3,18,1,14,1,18,2,8,1,18,1,9,1,10,1,9,1,18,1,3,7,16,17,3,8,18,2,4,1,18,3,3,3,16,2,3,2,18,1,4,3,19,6,4,39,19,1,3,1,16,3,3,4,14,10,3,1,16,489,3,3,16,3,3,2,16,10,3,1,16,8,3,1,4,1,19,1,4,2,19,4,3,3,18,1,4,2,3,1,16,3,3,6,4,4,3,5,4,5,18,1,3,1,16,1,3,3,16,23,3,3,16,5,3,4,4,163,10,2,18,1,10,2,8,1,10,5,8,5,10,5,8,2,10,5,9,1,8,1,18,4,8,2,18,3,15,1,14,1,3,2,14,1,18,6,9,1,18,1,3,2,14,1,18,2,3,1,16,4,3,2,18,1,4,2,18,2,4,4,19,7,4,236,19,9,4,3,19,4,4,3,18,2,8,1,10,1,8,7,15,4,8,1,10,6,8,15,10,5,8,6,10,4,8,6,10,1,8,1,10,5,8,9,10,7,8,7,10,9,8,8,10,4,},
{4,526,19,6,4,3,18,2,3,1,14,2,8,4,15,1,14,8,15,5,14,2,15,4,18,1,8,15,15,7,14,4,15,12,8,3,15,2,7,2,8,3,15,1,14,1,3,2,4,1,19,6,4,909,3,6,16,4,3,1,4,16,3,1,16,1,3,4,16,2,3,6,16,2,3,1,16,3,3,4,16,30,3,1,18,2,3,2,14,3,3,1,14,1,15,1,8,1,14,4,16,1,3,2,4,5,18,1,3,2,16,2,3,3,16,2,18,1,9,1,3,2,14,2,16,2,3,1,14,2,15,1,8,1,14,1,16,3,3,1,14,1,8,1,10,1,18,1,3,1,16,1,3,1,14,1,18,1,8,1,18,4,10,2,18,1,3,6,16,21,18,2,3,15,4,6,19,4,4,40,3,1,16,4,3,1,18,1,3,1,14,10,3,2,16,490,3,2,16,3,3,2,16,10,3,2,16,7,3,1,4,1,19,7,4,1,3,2,18,1,4,2,3,1,16,3,3,6,4,3,18,1,3,1,16,2,3,2,18,1,4,5,3,1,16,1,3,3,16,22,3,4,16,6,3,3,18,1,4,158,18,2,4,1,18,3,9,1,10,1,8,2,10,6,8,4,10,5,8,5,10,3,8,2,18,10,14,3,18,5,8,1,9,2,18,5,3,1,16,5,3,1,18,1,4,9,19,6,4,237,19,8,4,3,19,5,4,3,18,2,9,1,8,1,18,3,8,4,15,3,8,2,10,1,8,17,15,1,8,1,10,4,8,7,10,3,8,9,10,5,8,8,10,3,8,1,10,4,8,7,10,9,8,12,},
{4,525,19,7,4,3,18,3,14,1,15,1,8,3,15,3,14,4,15,4,14,1,15,10,8,14,15,17,8,4,15,3,8,3,15,2,8,2,7,2,8,2,14,1,3,1,18,1,4,1,19,6,4,912,19,2,4,1,3,1,16,3,3,2,4,15,3,5,16,11,3,2,16,3,3,3,16,31,3,5,14,10,16,1,3,1,4,3,19,2,4,3,18,1,3,3,18,1,3,1,16,2,18,1,10,1,3,1,16,1,3,5,14,1,8,2,15,1,14,1,16,3,3,1,15,1,10,2,18,1,16,3,3,1,18,2,3,4,18,3,3,2,16,1,3,2,16,22,3,1,18,1,3,1,16,2,3,7,18,4,4,51,3,1,16,3,3,6,14,9,3,2,16,498,3,4,16,3,3,4,16,6,3,1,4,1,19,9,4,4,3,1,16,8,3,1,4,3,18,1,3,1,16,1,3,3,4,5,18,1,3,1,16,2,3,2,16,19,3,8,16,5,3,4,4,156,3,4,18,2,3,1,16,3,3,1,18,1,8,1,10,4,8,6,10,4,8,1,18,2,15,1,8,2,10,4,8,1,18,6,8,3,18,1,14,2,18,3,8,1,9,2,10,2,9,5,3,1,16,6,3,1,18,1,4,9,19,5,4,239,19,6,4,3,19,7,4,2,18,5,15,3,8,9,15,2,8,4,10,1,8,8,15,2,8,2,10,3,8,8,10,1,8,3,10,2,8,13,10,3,8,2,10,2,8,3,10,3,8,9,10,7,8,12,},
{4,524,19,7,4,3,18,5,8,3,15,4,14,3,15,1,18,2,15,13,18,2,8,12,18,1,15,4,8,2,15,9,8,4,15,5,8,2,15,4,7,1,15,1,8,2,3,1,18,1,4,1,19,4,4,1,19,1,4,912,19,3,4,1,3,1,16,4,3,1,4,15,18,1,3,5,16,9,3,1,18,1,3,2,16,2,3,1,16,10,3,2,16,22,3,1,18,1,14,3,15,1,14,6,15,1,14,1,16,1,3,1,4,2,19,3,4,3,10,2,9,1,8,2,14,1,16,1,3,1,9,1,8,1,16,3,3,2,14,1,3,1,14,1,18,1,8,1,15,1,14,1,16,2,3,2,9,1,10,1,8,1,3,1,16,3,3,1,8,1,18,1,3,1,16,2,3,2,18,1,3,6,16,22,3,1,18,1,3,2,16,1,3,7,18,1,10,2,18,1,4,51,3,1,16,3,3,6,14,5,15,2,14,3,3,2,16,497,3,4,16,3,3,2,18,2,3,1,16,4,3,1,18,1,4,1,19,3,4,4,19,3,4,4,3,1,16,7,3,1,4,3,18,1,3,4,4,6,18,1,3,2,16,22,3,9,16,4,3,4,4,155,18,1,3,1,16,2,3,2,18,1,3,1,16,3,3,1,14,1,18,1,8,1,10,2,8,8,10,3,8,2,18,1,15,2,18,1,8,1,10,4,8,2,18,2,8,1,9,2,8,1,18,5,9,2,18,3,9,2,18,1,9,2,18,2,3,1,16,7,3,1,4,10,19,3,4,237,18,1,4,2,19,5,4,4,19,8,4,5,18,2,15,1,8,3,10,1,8,3,15,3,14,1,15,1,8,4,10,1,8,13,10,2,8,8,10,1,8,1,18,1,8,1,10,2,8,13,10,3,8,8,10,2,8,2,10,4,8,4,10,6,8,12,},
{4,524,19,5,4,4,18,4,8,4,15,1,14,5,15,11,14,3,15,1,8,3,15,3,8,3,18,3,8,7,15,1,14,1,15,1,8,2,15,1,14,3,15,5,8,3,15,1,14,4,15,3,8,1,15,1,14,2,7,1,8,2,18,2,4,1,19,4,4,914,19,4,18,1,16,4,3,1,19,1,4,15,3,3,18,1,4,1,18,1,3,1,16,7,3,1,18,4,3,2,16,11,3,3,16,21,3,1,10,1,18,5,15,5,8,1,14,1,16,1,3,1,18,1,4,1,19,2,4,4,10,5,9,1,8,1,9,1,10,1,3,1,16,2,3,1,14,2,3,3,14,1,15,2,14,1,16,3,14,1,10,2,3,1,16,4,14,1,10,1,8,1,16,3,3,1,14,1,18,1,3,3,18,2,3,1,16,21,3,3,18,2,3,2,18,1,10,2,18,3,10,1,18,3,4,6,3,1,18,1,4,44,3,1,16,3,3,4,14,6,15,2,14,3,3,3,16,497,3,2,16,6,3,3,16,3,3,2,18,1,4,2,18,2,4,2,3,1,18,1,4,1,19,2,4,4,3,1,16,7,3,1,18,1,4,2,18,1,3,3,4,2,19,3,4,3,3,2,16,20,3,1,16,2,3,6,16,2,3,3,16,4,3,1,18,1,4,153,18,1,3,14,18,1,10,2,8,3,10,3,8,2,10,5,8,2,18,1,15,1,18,1,8,2,9,1,10,2,8,2,9,1,10,2,18,2,14,3,18,1,9,1,10,1,9,1,18,1,3,2,18,5,3,2,16,8,3,2,18,1,4,2,18,2,4,238,19,4,4,8,19,1,4,6,19,9,4,4,9,2,8,2,9,1,10,2,8,1,18,1,14,5,8,11,10,1,8,4,10,4,8,5,10,5,8,2,10,4,8,23,10,8,8,4,10,5,8,12,},
{4,524,19,5,4,3,18,7,15,2,14,6,15,12,14,2,15,1,8,3,15,3,8,2,18,1,15,1,14,1,18,1,8,1,10,3,8,3,15,1,14,1,15,1,8,2,15,1,14,3,15,2,14,2,15,4,14,8,15,1,14,4,18,1,15,1,18,2,4,1,19,4,4,915,19,2,4,1,18,1,3,1,16,3,3,1,4,17,18,1,4,4,18,1,3,1,16,5,3,1,4,6,3,1,16,1,3,4,16,7,3,2,16,21,18,1,10,1,18,5,15,4,8,2,7,1,16,1,3,2,4,1,19,2,4,1,3,3,18,1,10,3,9,2,10,3,3,1,16,2,3,7,14,1,15,1,14,1,16,3,14,1,10,2,16,5,3,1,15,1,14,1,3,1,16,1,3,2,14,1,18,1,14,1,3,1,18,3,3,1,16,20,3,4,10,2,18,3,10,1,8,1,18,3,10,4,4,4,18,1,3,3,18,1,4,42,18,1,3,1,16,3,3,3,14,2,15,1,14,3,15,3,14,4,18,1,3,2,16,511,3,2,18,1,3,1,16,1,3,5,18,1,4,7,3,1,16,6,3,2,18,2,3,4,4,1,19,4,4,2,18,1,3,3,16,18,3,2,16,3,3,4,16,3,3,3,16,4,3,2,4,151,19,3,3,7,18,1,10,1,18,2,3,3,18,1,8,5,10,3,8,5,10,4,8,2,18,1,8,2,9,1,10,6,9,1,18,1,14,3,18,2,9,1,10,2,18,1,3,8,16,10,3,1,18,1,4,1,10,1,8,1,18,1,4,238,19,4,4,16,19,9,4,3,10,3,8,1,9,2,10,1,9,1,8,1,15,1,14,3,15,1,8,2,15,1,8,7,10,2,8,5,10,5,8,4,10,5,8,1,10,5,8,3,10,3,8,18,10,7,8,5,10,1,8,14,},
{4,524,19,6,4,2,18,3,14,6,15,4,14,5,15,3,14,5,8,2,14,2,15,1,8,3,15,1,8,2,18,1,14,3,18,1,10,4,8,1,15,4,18,1,8,2,15,1,14,3,15,2,14,3,15,4,14,9,15,1,8,1,7,1,14,1,3,2,18,1,4,1,19,4,4,102,19,1,4,816,18,1,3,1,16,2,3,1,4,21,19,1,3,1,16,6,3,1,4,6,3,2,4,3,3,1,16,29,3,1,18,2,3,2,18,2,14,4,15,2,8,1,14,1,16,1,3,1,4,4,18,1,3,4,18,1,9,1,18,1,3,1,18,1,10,3,9,1,3,1,16,2,3,6,14,1,15,2,3,1,16,2,3,1,10,2,3,1,16,5,3,6,14,1,18,3,3,2,18,1,3,1,16,18,3,5,18,1,10,1,18,2,3,20,4,41,18,1,3,2,16,1,3,5,14,1,15,1,8,1,15,2,7,1,15,2,18,1,15,1,14,2,3,5,16,511,3,2,16,4,3,1,16,1,3,2,18,1,4,5,18,1,3,3,16,3,3,1,18,3,3,2,16,2,3,1,19,4,4,2,18,1,3,5,16,21,3,4,16,2,3,3,16,5,3,5,4,149,19,3,4,2,3,2,16,1,3,2,4,3,18,1,8,1,18,5,8,1,10,1,8,3,10,3,18,1,14,1,15,1,8,1,10,8,9,1,10,5,9,1,18,7,9,1,10,2,9,1,3,2,16,16,3,1,18,2,10,1,8,1,18,1,4,238,19,5,4,3,18,2,10,2,4,10,19,8,4,5,18,2,8,1,9,1,10,1,9,1,8,2,18,2,15,5,8,6,10,2,8,2,15,3,8,2,10,3,8,5,10,3,8,2,10,5,8,3,10,4,8,8,10,1,8,11,10,9,8,15,},
{4,524,19,6,4,2,18,3,15,1,14,5,15,1,8,2,15,1,14,5,15,2,14,6,8,2,14,2,15,3,8,4,18,1,14,3,8,1,10,4,8,1,15,3,8,2,15,3,14,3,15,2,14,6,15,6,14,4,8,2,14,1,3,1,16,1,3,1,4,2,19,3,4,92,19,5,4,2,19,6,4,817,3,2,18,1,4,21,3,2,16,4,3,3,4,5,18,1,3,2,4,3,3,1,16,10,3,1,16,17,3,7,18,1,14,1,3,3,14,2,15,1,14,1,16,1,3,1,4,3,18,1,3,2,16,3,3,1,18,2,3,2,9,1,10,3,18,1,3,1,16,1,3,2,14,1,3,4,14,2,3,3,14,1,8,1,18,1,16,4,3,2,16,1,3,3,14,2,18,3,14,1,3,3,16,18,3,7,18,1,8,1,18,1,3,1,16,3,3,6,16,4,3,3,16,1,3,2,18,1,4,39,18,1,3,1,16,2,3,6,14,1,15,1,8,1,15,7,14,3,3,4,16,521,3,1,18,1,4,5,18,1,3,5,18,4,3,1,16,4,3,1,19,3,4,2,3,4,16,24,3,2,16,3,3,2,16,10,3,2,4,148,19,4,4,2,3,1,16,1,3,1,4,5,10,2,8,1,18,3,8,1,10,1,8,1,18,2,8,1,10,2,15,1,14,1,15,1,8,2,10,7,9,2,10,4,18,1,3,2,14,1,18,4,3,1,18,3,3,1,16,18,3,2,18,1,10,2,4,238,19,5,4,3,18,2,8,2,4,11,19,8,4,5,18,1,8,1,9,1,10,1,9,2,10,1,9,2,8,1,15,1,14,2,15,1,8,6,10,1,8,2,15,1,14,3,18,1,8,2,10,1,8,2,18,4,8,2,10,9,8,2,10,4,8,8,10,2,8,10,10,9,8,15,},
{4,522,19,6,4,3,18,5,8,4,15,5,14,4,15,3,14,6,15,2,14,3,15,1,18,2,8,2,18,2,14,2,18,1,8,1,10,4,8,1,15,2,18,1,8,2,14,14,15,6,8,5,15,1,3,3,18,1,4,1,19,4,4,91,19,13,4,841,3,2,16,4,3,1,18,2,4,3,3,3,16,3,3,4,16,4,3,2,16,4,3,2,16,6,3,2,16,8,3,2,16,4,3,1,18,2,3,2,16,2,3,1,14,1,15,1,14,2,18,2,3,3,16,4,14,1,18,2,3,2,18,1,10,4,14,1,3,3,14,2,3,1,14,2,3,1,16,2,3,1,18,1,10,1,18,1,3,1,16,3,3,1,14,1,15,1,14,1,3,1,14,3,15,1,18,1,8,1,18,1,3,2,16,13,3,5,16,2,3,3,16,3,3,4,16,4,3,6,16,9,3,2,18,1,4,37,3,2,16,2,3,5,16,1,3,2,14,1,15,3,8,1,18,1,15,1,3,2,14,1,18,2,3,4,16,521,3,3,4,4,18,1,3,1,18,3,4,3,18,1,3,3,16,3,3,1,19,1,4,4,18,1,3,1,16,31,3,2,16,11,3,2,4,147,19,5,4,1,18,1,9,1,4,6,18,1,8,4,18,1,8,2,18,1,14,3,15,1,8,1,15,1,8,2,10,4,8,2,18,1,8,3,9,3,10,1,8,1,14,1,3,4,18,2,3,6,16,19,3,1,18,1,10,3,4,4,19,2,4,231,19,6,4,2,18,1,8,3,10,1,4,13,19,7,4,3,18,1,8,1,9,3,10,3,9,1,18,1,14,3,15,1,18,1,8,5,10,1,8,3,14,2,15,1,8,5,18,1,14,3,18,1,8,2,10,9,8,2,10,5,8,8,10,2,8,9,10,9,8,15,},
{4,522,19,5,4,3,18,5,8,4,18,1,14,13,15,4,14,3,15,4,18,2,8,1,18,5,8,1,10,4,8,1,18,2,8,3,18,1,14,2,15,2,14,9,15,1,8,2,15,3,8,5,18,1,14,1,3,3,4,1,19,4,4,92,19,12,4,2,18,3,4,837,18,1,3,5,4,5,3,1,16,15,3,2,16,3,3,2,16,6,3,3,16,13,3,5,16,2,3,1,14,1,8,3,18,1,14,1,3,3,16,3,3,1,15,2,14,1,3,1,16,1,14,1,8,1,10,4,18,1,14,1,18,2,14,1,3,1,14,2,16,3,3,1,10,2,14,1,16,4,3,1,18,1,10,1,18,1,14,4,15,1,8,2,14,1,3,1,16,15,3,1,18,2,3,1,16,2,3,1,16,4,3,2,16,2,3,1,16,3,3,3,18,4,3,2,16,8,3,2,4,36,3,1,16,4,3,8,14,3,15,2,18,2,3,2,18,3,3,2,16,525,3,1,18,1,4,3,18,2,4,7,3,2,16,4,3,1,18,1,4,5,3,1,16,30,3,4,16,9,3,3,4,147,19,4,4,3,18,1,4,6,10,5,8,2,18,2,14,4,8,2,10,1,8,6,18,1,8,7,9,2,18,1,3,4,18,3,3,4,16,21,3,1,18,1,10,3,4,2,19,4,4,230,19,6,4,2,18,1,8,2,10,2,4,13,19,8,4,2,10,8,9,1,18,1,15,1,14,1,15,2,18,2,8,6,10,1,8,2,15,1,8,3,18,3,15,1,14,2,18,3,8,2,10,8,8,2,10,5,8,18,10,8,8,17,},
{4,521,19,6,4,3,18,6,8,2,18,1,14,1,3,3,14,10,15,1,8,3,15,1,14,2,15,1,8,1,15,2,18,3,8,4,10,5,18,2,15,1,18,1,8,3,15,1,3,1,14,1,15,1,8,1,15,1,14,7,15,1,8,4,15,4,8,1,15,2,14,1,3,3,4,1,19,5,4,92,19,11,4,1,18,1,3,3,18,1,4,59,19,3,4,16,19,4,4,764,3,2,16,11,3,2,16,4,3,2,16,10,3,5,16,1,3,1,16,11,3,6,15,1,8,1,10,1,8,1,14,1,3,4,16,2,3,1,14,1,15,1,14,2,3,1,16,2,3,1,8,1,10,6,18,1,14,1,3,1,14,2,16,3,3,1,18,1,8,1,14,1,16,5,15,1,10,1,9,1,18,1,14,1,3,2,14,1,8,1,18,1,3,1,16,16,3,3,16,3,3,9,18,2,3,5,18,1,4,4,18,1,3,1,16,2,3,2,16,3,3,2,18,1,4,34,18,1,3,1,16,3,3,7,14,7,15,1,18,3,4,2,18,1,3,1,16,524,3,3,18,3,4,10,18,1,3,1,16,4,3,1,4,6,3,3,16,27,3,2,16,2,3,3,16,1,3,1,16,3,3,4,4,152,18,2,10,2,4,6,10,6,8,2,18,1,14,1,15,1,8,2,10,3,8,1,15,3,8,2,10,4,8,1,18,2,8,1,10,3,18,1,3,3,18,6,3,2,16,21,3,1,18,3,4,2,19,4,4,234,19,2,4,5,10,1,4,7,19,4,4,3,19,8,4,2,10,8,9,1,18,2,15,1,18,2,15,2,8,5,10,3,8,3,15,2,14,2,18,2,8,5,18,3,8,2,10,5,8,3,10,4,8,15,10,10,8,4,10,3,8,11,},
{4,520,19,7,4,2,18,5,15,1,18,3,15,1,14,1,3,1,16,2,3,1,14,3,3,3,14,2,15,1,8,4,15,1,14,1,15,1,8,2,18,6,8,1,10,6,18,1,14,2,15,1,18,1,8,2,15,1,14,1,3,1,14,1,15,1,8,1,15,2,14,7,15,1,8,1,15,1,14,5,15,1,8,1,15,1,18,3,4,1,19,6,4,92,19,5,4,1,19,4,4,1,18,1,3,4,18,1,4,40,19,23,4,14,19,6,4,762,3,1,16,12,3,1,18,1,3,2,16,3,3,2,16,11,3,4,16,14,3,5,14,1,8,1,10,1,8,1,14,1,3,6,14,3,3,1,16,1,3,1,16,3,3,1,18,1,10,5,9,1,14,1,3,1,15,1,14,1,3,1,16,1,14,5,3,1,16,4,3,1,8,1,10,1,8,1,3,3,14,2,3,1,16,4,3,1,16,13,3,2,16,3,3,9,18,3,3,3,18,1,4,7,3,9,4,34,3,2,16,4,3,6,14,1,15,2,14,4,3,2,18,1,4,4,18,1,3,1,16,524,3,6,18,1,4,10,3,1,16,4,3,1,4,7,3,2,16,28,3,1,16,2,3,3,16,4,3,4,18,1,4,148,18,1,3,1,4,1,18,1,3,2,18,1,10,1,4,2,18,2,4,2,10,8,8,1,18,1,8,2,10,3,8,2,15,1,14,1,15,2,8,2,10,3,8,1,18,3,8,1,10,3,14,1,3,2,18,1,10,2,4,3,18,1,3,1,16,22,3,2,18,1,4,2,19,4,4,234,19,4,4,10,19,6,4,2,19,8,4,2,10,9,8,5,18,1,15,1,18,1,8,4,10,5,8,2,18,1,14,3,18,1,8,6,18,3,8,1,10,6,8,3,10,3,8,16,10,8,8,5,10,3,8,11,},
{4,520,19,5,4,2,18,1,3,3,18,5,8,1,18,1,15,1,3,1,16,4,3,1,14,1,3,1,16,3,3,1,14,1,15,1,18,2,8,1,18,3,8,3,18,6,9,1,10,5,18,2,14,2,18,2,8,1,18,1,14,1,3,1,14,2,18,1,8,1,15,1,14,5,3,5,16,4,14,2,8,1,10,1,8,1,18,1,4,3,19,4,4,103,18,1,3,6,18,1,4,5,19,5,4,29,19,24,4,14,19,6,4,756,18,1,3,2,16,1,3,2,16,13,18,1,4,2,3,1,16,2,3,3,16,3,3,1,16,8,3,2,16,15,3,4,16,1,3,1,15,1,18,1,15,1,14,5,3,1,17,1,14,2,17,1,16,3,3,1,16,3,3,2,18,1,10,3,9,1,14,1,3,1,14,4,8,2,14,1,3,3,16,4,3,1,18,1,8,1,18,1,3,2,14,2,16,3,3,4,16,8,3,1,16,4,3,2,16,6,3,4,16,3,3,2,18,1,4,12,18,2,4,38,3,1,16,6,3,5,14,2,15,1,14,2,3,3,16,1,3,1,18,1,4,3,18,1,3,1,16,525,3,7,4,10,18,1,3,1,16,3,3,3,4,5,3,2,16,37,3,6,18,1,4,147,3,2,18,2,3,3,18,1,10,2,18,1,3,3,18,1,9,1,10,7,8,3,10,2,8,1,15,1,8,1,10,1,8,2,15,1,14,2,15,1,8,4,18,1,15,2,18,1,9,2,18,3,10,3,4,4,3,1,16,22,3,2,18,1,4,2,19,3,4,235,19,5,4,9,19,6,4,8,19,1,4,3,10,13,8,1,18,1,15,1,18,4,8,2,10,6,8,1,18,1,14,4,18,1,8,5,18,1,8,2,10,7,8,3,10,1,8,19,10,6,8,5,10,4,8,10,},
{4,520,19,4,4,2,18,2,3,3,14,1,18,3,15,2,14,2,3,2,16,2,3,2,14,1,3,1,16,3,3,1,14,1,15,1,18,5,8,1,10,2,18,7,4,2,10,2,4,2,18,3,15,1,18,3,14,1,3,2,14,1,18,1,8,1,15,2,14,3,15,2,14,1,3,4,16,4,14,1,15,1,8,1,10,1,8,1,18,1,4,2,19,5,4,100,18,3,3,3,14,2,18,3,4,5,19,6,4,28,19,24,4,14,19,6,4,756,3,1,16,17,3,1,18,1,4,2,3,6,16,2,3,4,16,2,3,2,16,1,3,3,16,15,3,4,16,1,3,4,14,2,8,2,15,1,14,2,17,1,16,5,14,1,3,1,16,3,3,2,18,1,10,3,18,1,3,3,14,1,18,1,8,2,3,3,16,6,3,1,15,1,14,1,3,2,14,1,3,1,16,2,3,1,14,1,3,2,16,8,3,4,16,4,3,11,16,2,3,2,18,1,4,4,18,1,3,2,18,1,4,4,10,2,4,38,16,4,3,1,14,1,3,6,14,4,3,2,14,1,3,3,18,1,4,2,18,1,3,1,16,526,3,3,16,3,3,1,18,1,4,10,3,2,16,4,3,1,4,6,3,2,16,36,3,8,4,146,3,3,14,1,18,2,3,2,18,1,8,2,3,2,16,1,3,2,10,3,8,2,10,3,8,1,10,2,8,1,14,1,16,1,14,1,15,3,14,5,15,1,8,3,15,1,14,3,18,4,10,3,4,4,3,1,16,23,3,2,4,2,19,4,4,234,19,5,4,10,19,5,4,12,10,14,18,7,8,1,10,7,8,2,14,4,8,2,10,2,8,1,18,2,8,1,10,8,8,1,10,3,8,20,10,5,8,4,10,5,8,9,},
{4,519,19,5,4,2,18,7,14,2,3,2,14,2,3,4,14,3,3,4,14,2,15,1,18,1,15,2,18,2,8,2,10,1,8,1,18,4,4,9,18,4,15,1,14,1,3,3,18,1,8,2,15,1,14,3,15,1,8,1,9,1,8,1,15,4,14,5,15,1,8,2,18,2,4,1,19,6,4,95,10,1,18,5,3,5,14,1,18,6,4,3,19,6,4,28,19,22,4,16,19,7,4,755,3,1,16,9,3,1,16,7,3,1,18,1,4,3,3,5,16,2,3,2,18,2,3,2,10,2,18,2,4,2,3,1,16,15,3,6,16,3,14,1,15,1,8,2,15,1,14,1,16,6,14,1,3,6,18,2,4,2,18,1,3,1,16,2,3,1,14,4,3,2,16,6,3,6,16,3,14,2,16,11,3,2,16,6,3,5,18,3,3,4,18,1,10,2,4,2,18,1,3,6,18,1,4,2,10,2,4,38,3,1,16,3,3,1,18,1,15,1,14,3,3,3,14,3,3,1,14,1,15,2,14,1,3,5,16,527,3,2,16,3,3,2,18,2,4,9,18,1,3,1,16,4,3,1,4,4,19,2,4,1,18,1,3,3,16,33,3,5,16,2,3,2,4,140,19,4,4,1,18,1,3,3,18,2,3,3,18,1,10,2,3,1,16,2,3,1,8,1,10,1,18,1,14,3,8,1,10,3,8,1,14,1,16,5,14,7,15,1,8,2,18,1,15,1,14,1,3,3,18,3,9,1,18,4,3,2,16,24,3,1,4,3,19,3,4,234,19,6,4,9,19,5,4,12,10,9,8,1,10,4,8,4,18,3,8,6,10,3,8,2,18,1,14,1,18,1,8,2,10,2,8,1,18,1,14,1,8,2,10,11,8,21,10,6,8,4,10,4,8,7,10,1,},
{4,518,19,6,4,2,18,1,9,2,8,1,18,2,14,2,3,3,14,5,15,2,14,6,15,1,18,9,8,1,18,2,4,3,19,8,4,1,18,3,15,1,14,1,3,3,14,1,8,1,10,1,8,1,15,3,14,1,15,1,10,2,8,7,15,1,8,4,15,1,18,2,4,1,19,6,4,94,18,3,14,5,3,3,14,1,15,2,18,6,4,3,19,5,4,29,19,13,4,24,19,8,4,684,19,2,4,68,3,1,16,3,3,2,16,3,3,4,16,1,3,6,4,4,18,2,3,5,18,1,10,2,9,1,10,3,4,4,3,1,16,15,3,6,16,3,14,1,15,1,8,3,14,1,17,1,16,5,3,7,18,1,4,4,18,1,16,2,3,7,16,8,3,1,16,5,3,1,18,1,3,1,16,5,3,2,16,11,3,7,18,3,9,2,18,2,10,2,18,1,3,2,16,6,3,1,4,2,10,2,4,38,3,1,16,3,14,1,8,1,15,1,14,4,3,6,14,1,15,1,8,2,14,1,3,1,16,535,3,1,18,4,4,1,18,2,4,2,18,2,4,1,18,1,3,1,16,4,3,1,19,1,4,3,19,2,4,2,3,4,16,33,3,2,16,5,3,1,19,1,4,139,19,5,4,1,18,6,3,1,16,1,3,1,10,2,3,2,16,1,3,1,14,1,8,1,18,2,3,2,14,1,8,2,10,1,8,1,15,1,14,1,16,4,17,1,14,7,15,3,18,1,14,1,3,11,16,26,3,1,4,4,19,1,4,235,19,6,4,6,18,1,4,4,19,3,4,11,18,2,8,1,10,6,8,2,10,7,8,3,18,1,8,6,10,4,8,2,18,2,8,2,10,2,8,1,18,3,8,2,10,11,8,8,10,3,8,10,10,6,8,4,10,4,8,6,10,1,},
{4,518,19,5,4,3,18,1,9,1,18,2,14,5,3,1,14,2,18,1,8,4,18,17,9,1,10,1,4,3,19,8,4,2,18,2,14,2,3,3,14,1,18,1,10,2,8,1,18,1,8,7,15,6,8,6,18,2,4,1,19,6,4,90,18,4,8,1,18,1,14,9,15,1,7,1,15,3,18,6,4,3,19,3,4,30,19,7,4,15,18,2,4,12,19,8,4,676,3,3,18,3,3,3,16,4,3,3,4,62,3,1,16,3,3,2,16,3,3,1,4,2,18,1,3,3,18,2,3,2,18,1,4,3,10,2,18,1,3,3,18,2,10,6,18,1,4,3,18,1,3,3,16,13,3,6,16,3,14,1,15,3,14,1,3,1,16,5,3,6,18,2,4,5,3,2,18,2,3,4,14,1,3,1,16,2,3,1,16,9,3,1,18,1,15,1,3,1,16,4,3,3,16,10,3,5,16,2,3,4,10,2,18,4,3,1,16,8,3,1,18,1,10,2,18,3,4,36,3,1,16,2,3,1,14,14,15,3,3,2,16,531,3,2,16,2,3,2,18,3,3,5,18,3,3,2,16,4,3,1,18,1,4,1,19,3,4,2,18,1,3,3,16,41,3,2,4,139,19,4,4,3,10,3,8,1,18,1,3,1,16,1,3,1,18,1,10,1,18,1,3,4,18,1,10,1,4,1,18,2,3,2,14,1,8,1,10,2,8,1,15,1,14,1,17,1,16,3,3,1,14,2,15,1,14,5,8,1,18,1,14,1,3,9,16,27,18,1,4,241,19,5,4,5,8,3,4,11,19,5,4,2,18,1,8,1,10,6,8,2,10,8,8,6,18,1,8,2,10,5,8,1,15,2,18,1,8,1,10,3,8,6,10,11,8,6,10,5,8,9,10,6,8,4,10,5,8,6,},
{4,518,19,4,4,3,18,1,3,1,18,3,14,8,8,6,18,17,10,1,4,2,19,9,4,2,18,2,14,3,3,2,18,1,10,3,8,1,15,1,8,2,15,11,8,5,15,1,18,1,4,2,19,5,4,91,10,1,18,3,8,1,18,1,14,4,7,4,8,2,7,3,15,2,18,6,4,3,19,2,4,30,19,5,4,11,18,3,4,2,18,1,8,1,10,1,18,1,4,4,10,1,4,6,19,8,4,676,16,3,3,2,16,11,3,1,4,61,3,1,16,3,3,2,16,3,3,1,4,3,3,2,18,1,4,3,18,2,4,4,10,1,18,6,10,2,8,3,18,8,3,2,16,14,3,5,16,2,14,6,3,1,16,6,3,3,18,1,4,7,18,2,4,2,3,4,18,2,3,4,16,3,3,1,16,3,3,1,15,1,18,1,3,1,16,4,3,3,16,10,3,4,16,7,3,1,10,2,3,4,16,7,3,3,18,3,3,1,16,2,3,4,4,31,18,1,3,2,14,9,17,2,14,7,15,1,3,1,16,532,3,2,16,2,3,6,16,3,3,2,18,1,3,2,16,2,3,3,19,1,4,2,19,3,4,2,18,1,3,3,16,42,3,1,19,1,4,138,19,4,4,3,10,3,8,2,14,1,16,2,3,1,18,3,3,2,16,1,3,1,4,4,3,1,16,1,3,1,15,1,8,1,10,4,8,1,15,1,14,1,17,2,14,2,15,1,14,2,3,2,14,1,15,1,18,3,3,7,16,28,18,1,4,251,10,4,4,9,19,6,4,2,18,1,10,3,8,5,10,12,8,6,10,6,8,5,10,5,8,3,10,11,8,6,10,5,8,9,10,6,8,4,10,5,8,6,},
{4,518,19,4,4,2,3,4,14,1,18,5,14,2,3,2,14,1,15,1,18,4,8,2,18,1,14,3,18,9,4,6,19,8,4,2,18,4,15,1,14,1,18,1,10,3,8,1,15,2,8,1,15,1,14,4,15,8,8,1,15,3,18,2,4,1,19,5,4,92,18,4,8,1,18,1,14,3,7,9,8,4,18,6,4,44,18,11,10,11,4,4,19,9,4,674,3,2,16,16,3,3,4,59,3,1,16,7,3,1,4,2,18,1,3,2,18,1,4,10,10,4,18,5,15,2,18,1,8,1,18,7,3,4,16,11,3,7,14,6,3,5,16,3,3,2,4,12,3,1,16,1,3,1,18,3,3,3,16,3,3,1,15,1,3,3,14,3,3,1,16,17,3,2,16,10,3,2,16,9,3,8,16,7,3,5,4,23,18,1,3,5,14,1,8,3,14,4,17,3,14,4,3,1,16,1,3,1,14,1,3,1,16,536,3,1,18,1,3,1,16,1,3,2,16,3,3,4,16,3,3,1,4,1,19,7,4,2,18,1,3,2,16,43,3,1,19,1,4,138,19,5,4,3,10,1,4,1,18,1,8,1,14,1,3,7,16,2,3,1,4,4,18,1,3,2,14,1,8,1,10,6,8,1,15,1,14,10,15,1,18,2,3,7,16,28,3,2,4,250,10,2,4,11,19,6,4,3,18,1,10,2,18,4,8,1,10,1,4,8,10,8,8,3,10,7,8,3,10,12,8,1,10,6,8,6,10,3,8,5,10,3,8,3,10,6,8,2,10,6,8,6,},
{4,517,19,5,4,2,3,4,18,1,8,1,15,1,14,1,15,2,14,2,3,2,14,2,18,2,8,1,10,3,18,2,3,2,18,4,3,1,18,2,4,11,19,5,4,3,18,5,10,4,18,1,14,2,15,2,14,5,15,4,14,2,15,4,18,2,4,2,19,5,4,83,19,4,4,4,18,7,14,4,7,5,15,1,7,1,8,5,18,6,4,12,19,14,4,17,18,5,9,2,18,3,9,1,10,12,4,5,19,16,4,3,19,11,4,651,18,1,3,1,16,19,3,1,19,1,4,59,3,2,16,2,3,3,18,1,4,2,3,3,18,1,4,10,18,1,10,2,18,5,14,2,15,1,18,1,8,2,18,9,3,1,16,11,3,6,14,1,15,2,14,2,3,8,16,1,3,2,18,1,4,12,3,3,18,3,3,4,16,2,3,2,16,1,3,1,18,1,9,1,18,1,3,2,16,17,3,2,16,9,3,2,16,9,3,8,16,9,3,5,4,22,3,2,16,2,3,2,14,1,18,1,8,2,15,1,14,9,3,4,14,1,3,1,16,535,3,1,4,2,3,1,16,6,3,4,16,3,3,1,4,1,19,4,4,1,19,2,4,2,18,1,3,1,16,44,3,2,4,138,19,5,4,5,18,3,3,7,16,2,3,2,4,4,18,1,3,2,15,1,8,1,10,6,8,1,15,1,14,10,18,3,3,6,16,29,3,2,19,1,4,261,19,6,4,8,18,2,4,3,19,3,4,11,10,2,8,3,10,7,8,3,10,17,8,1,10,1,8,5,10,3,8,6,10,5,8,3,10,12,8,5,},
{4,517,19,5,4,2,18,4,8,2,15,1,14,1,3,3,14,1,18,5,10,2,18,1,10,3,18,2,3,3,18,4,4,2,19,2,4,17,18,3,10,4,18,1,14,3,18,4,3,2,14,1,18,3,14,2,3,1,14,2,18,2,8,1,18,1,4,2,19,4,4,84,19,4,4,4,18,5,15,1,14,3,15,8,8,6,18,7,4,10,19,15,4,14,18,4,8,19,9,3,4,6,19,30,4,650,3,1,16,21,18,1,4,60,18,1,3,3,4,5,3,4,4,2,19,2,4,5,18,13,8,1,9,2,8,1,18,1,14,1,3,3,18,1,10,1,18,1,3,1,16,10,3,5,16,1,3,1,8,1,10,1,9,1,14,1,16,6,3,4,18,1,10,1,4,6,18,2,4,4,18,6,3,2,18,2,3,1,16,5,18,1,10,2,14,1,16,14,3,1,16,12,3,4,16,8,3,5,16,12,3,3,16,2,3,1,19,1,4,21,3,2,16,1,3,4,14,1,15,2,14,2,15,1,8,1,15,3,14,2,3,3,14,3,16,536,3,1,4,2,3,1,16,7,3,2,16,4,3,1,4,1,19,3,4,4,18,1,4,1,18,1,3,1,16,43,3,3,18,1,4,138,19,3,4,6,18,1,4,1,18,3,14,2,18,2,14,1,3,1,16,3,3,1,18,1,4,2,10,1,18,1,14,2,15,1,8,1,10,4,8,4,15,1,14,3,15,1,14,3,15,1,9,2,14,1,3,4,18,2,3,1,16,30,3,1,18,1,4,1,19,5,4,254,19,6,4,11,19,14,4,3,10,12,18,3,8,1,10,10,8,3,10,1,8,2,10,8,8,10,10,3,8,4,10,8,8,1,10,2,8,1,18,3,},
{4,516,19,6,4,2,10,4,8,2,14,1,3,1,16,2,3,1,18,2,10,1,18,3,10,1,18,3,4,1,10,1,4,2,18,3,4,5,19,3,4,17,18,3,10,4,18,1,3,1,14,1,18,5,3,4,18,1,14,1,3,4,14,1,18,2,10,1,4,91,19,4,4,3,18,2,15,5,14,2,15,2,18,1,8,2,18,4,8,1,18,1,8,4,15,3,18,1,15,1,18,4,4,7,19,16,4,8,18,6,8,25,18,1,4,7,19,29,4,650,3,1,16,21,18,1,4,61,18,1,3,1,4,5,18,1,19,2,18,1,19,1,4,1,19,4,4,4,18,5,3,1,18,1,8,1,10,1,18,2,9,2,18,4,8,1,18,1,14,1,3,2,14,1,9,1,18,1,3,1,16,11,3,3,16,2,3,1,8,1,10,2,18,1,16,4,3,5,18,1,10,2,4,6,3,2,18,1,4,2,18,7,3,2,10,2,3,1,16,5,18,1,10,2,14,1,3,1,16,13,3,1,16,12,3,1,4,2,3,1,16,8,3,4,16,7,3,2,16,4,3,6,4,21,18,1,3,7,14,1,15,2,14,2,15,4,18,1,15,1,14,1,3,6,16,533,3,4,4,2,3,1,16,7,3,7,4,6,18,1,3,5,16,43,3,5,4,149,10,1,8,4,10,2,15,1,16,4,3,1,18,1,10,2,8,1,14,3,15,1,8,1,15,4,8,1,9,1,8,1,15,1,14,6,15,2,8,1,18,1,14,1,3,3,18,4,3,1,16,30,3,1,19,6,4,254,19,5,4,4,19,3,4,4,19,16,4,2,10,3,8,2,10,8,18,3,8,1,10,9,8,2,10,2,8,3,10,2,8,1,10,2,8,2,10,1,8,5,10,1,8,3,10,3,8,4,10,3,8,2,10,3,8,3,10,1,18,3,},
{4,516,19,6,4,2,10,3,8,2,14,2,16,3,3,1,18,1,10,1,4,4,18,1,10,2,4,11,19,5,4,16,18,4,4,3,10,1,18,5,3,3,18,4,3,4,14,1,18,4,4,91,19,6,4,1,18,2,14,2,15,3,14,3,15,1,18,3,8,2,18,9,15,6,18,4,10,3,4,3,19,16,4,3,10,2,18,7,8,27,18,1,4,11,19,25,4,650,3,1,16,20,3,1,18,1,4,68,19,1,4,1,19,9,4,4,18,1,10,1,9,1,18,3,10,2,18,2,10,2,18,1,3,1,16,1,3,1,8,1,10,1,18,1,14,1,3,2,18,1,3,2,16,8,3,2,16,1,3,1,16,4,3,1,15,1,10,2,8,1,3,1,16,3,3,1,18,5,10,2,4,2,10,3,18,1,3,8,18,4,3,1,18,1,10,2,3,1,16,5,18,1,9,1,18,1,3,2,16,26,3,1,4,2,3,1,16,8,3,2,16,9,3,2,16,3,3,5,4,20,18,1,3,4,16,1,3,4,14,1,15,1,8,1,15,1,14,3,3,2,14,1,15,2,14,1,3,1,16,538,3,4,18,2,3,1,16,6,3,2,18,2,4,3,3,1,18,1,4,5,3,2,16,1,3,3,16,43,3,2,16,2,3,2,4,148,10,1,8,4,10,2,8,1,14,1,3,1,16,2,3,1,18,2,8,2,15,2,14,3,16,3,14,1,8,1,9,1,8,1,14,6,15,1,8,1,15,1,14,1,3,6,18,1,4,3,3,1,16,30,3,1,4,1,19,4,4,252,19,6,4,5,19,24,4,2,10,2,18,3,10,3,18,1,10,3,18,3,10,16,8,7,10,9,8,2,10,8,8,4,10,3,8,3,10,2,18,2,},
{4,516,19,6,4,2,9,1,18,4,15,1,14,1,3,4,18,1,4,6,18,2,4,1,19,5,4,3,19,7,4,16,18,3,4,5,18,1,3,1,18,4,3,1,18,1,4,3,18,10,4,92,19,4,4,2,18,1,14,5,15,6,18,2,8,2,18,1,15,4,18,5,15,2,18,2,15,2,18,3,10,4,4,2,19,15,4,3,10,2,9,1,18,3,8,31,18,1,4,33,19,2,4,650,3,1,16,21,3,2,4,69,19,9,4,5,10,4,9,1,18,1,9,1,18,1,3,1,18,1,10,2,3,1,16,3,10,2,8,1,14,2,3,4,16,7,3,3,16,1,3,2,16,3,3,1,14,1,9,1,10,1,9,1,14,1,16,3,18,1,10,2,9,1,18,1,3,4,18,1,10,3,18,1,3,11,18,3,10,2,3,1,16,4,3,1,18,2,3,5,16,24,3,1,4,2,3,1,16,27,3,2,4,20,3,3,16,2,3,5,14,2,15,1,14,1,3,1,16,5,3,3,16,538,3,1,16,3,3,4,16,4,3,3,18,1,4,5,18,2,4,4,18,1,3,2,16,48,3,1,16,3,3,1,18,1,4,132,19,6,4,9,10,2,8,3,10,3,8,2,14,2,3,1,14,2,15,1,8,3,14,2,16,4,3,1,15,2,14,7,15,2,14,1,3,6,18,2,4,4,3,1,16,29,3,1,4,1,19,4,4,252,19,6,4,5,19,24,4,3,10,1,18,3,8,1,10,2,18,2,10,3,18,1,8,1,10,8,8,3,10,3,8,1,10,2,8,6,10,9,8,4,10,6,8,4,10,4,8,3,9,1,10,2,},
{4,516,19,5,4,2,18,1,3,4,18,1,8,1,18,5,10,1,4,6,18,2,4,2,19,14,4,16,18,2,4,5,18,1,3,3,18,2,4,11,18,1,3,3,18,1,4,92,19,3,4,2,18,3,15,13,8,1,15,5,8,5,15,1,8,1,18,2,8,2,18,4,8,1,10,2,4,7,19,7,4,6,18,1,8,36,18,1,4,685,3,1,16,5,3,1,16,16,3,2,4,1,19,2,4,65,19,6,4,2,18,1,4,5,18,2,10,2,9,1,18,1,3,4,18,2,3,2,16,1,3,1,10,3,18,2,3,2,16,9,3,3,16,1,3,4,16,1,3,2,18,1,9,2,18,1,3,1,16,1,3,1,10,3,18,1,3,1,16,4,3,1,18,1,10,3,18,2,10,1,9,1,18,1,3,7,18,1,8,1,10,2,3,2,16,2,3,2,18,2,3,6,16,21,3,1,16,1,3,1,18,2,3,1,16,28,3,1,4,20,3,2,16,1,3,3,14,2,3,5,16,553,3,3,16,4,3,2,18,2,4,6,18,2,3,6,16,49,3,1,16,3,3,1,18,1,4,130,19,8,4,8,10,3,8,4,10,2,8,2,14,2,3,1,14,1,15,1,8,1,10,1,8,1,15,1,14,1,16,5,14,2,3,1,14,2,15,5,14,2,3,2,14,1,18,1,3,1,18,4,4,3,3,1,16,29,3,1,4,2,19,3,4,248,19,2,4,2,19,6,4,4,19,14,4,4,19,8,4,2,10,3,8,2,10,3,18,2,10,12,8,3,10,3,8,2,10,5,8,7,18,4,10,2,8,3,10,5,8,5,10,4,8,1,4,4,},
{4,516,19,4,4,3,18,1,3,4,18,1,10,1,9,1,18,2,10,2,4,7,3,2,4,2,19,9,4,1,19,1,4,26,18,1,3,2,18,1,4,14,18,1,3,2,18,1,4,91,19,4,4,1,18,4,8,1,15,5,8,3,15,8,8,14,18,7,4,18,18,2,8,3,10,1,8,33,18,1,4,684,3,2,16,3,3,3,16,16,3,1,19,4,4,64,19,6,4,1,18,1,3,2,18,1,4,3,18,4,9,1,18,1,3,1,16,3,3,3,16,2,3,1,18,1,10,1,18,2,9,1,18,1,3,1,16,9,3,2,16,1,3,1,18,3,3,2,16,1,3,2,18,1,9,2,18,1,3,1,14,1,10,3,3,2,16,4,3,1,18,1,10,8,18,3,3,3,18,2,10,3,18,1,3,3,18,4,14,1,3,6,16,19,3,6,16,28,3,2,4,20,18,1,3,4,18,2,3,2,16,558,3,2,16,4,3,2,18,5,3,2,18,2,3,7,16,53,3,2,4,130,19,8,4,7,10,5,8,4,10,2,8,2,14,3,18,1,8,1,10,2,8,1,14,2,16,3,3,1,14,5,15,1,8,3,15,1,14,4,18,4,9,1,18,1,3,1,18,1,4,2,18,1,3,1,16,28,3,1,18,1,4,2,19,2,4,248,19,10,4,4,19,13,4,6,19,7,4,3,10,21,8,3,10,3,8,3,10,10,18,5,10,2,8,3,10,8,8,4,10,2,9,1,4,4,},
{4,516,19,4,4,2,18,1,3,4,18,1,4,2,18,3,4,4,19,1,4,4,18,2,4,2,19,8,4,28,18,1,3,1,18,2,4,15,18,1,3,2,18,1,4,91,19,4,4,1,18,3,8,3,15,3,18,1,8,3,15,7,8,15,18,27,8,2,10,3,8,32,18,7,10,7,18,10,4,10,18,2,4,596,19,3,4,51,3,2,16,1,3,3,16,15,3,1,16,1,3,1,19,3,4,1,3,5,4,59,19,4,4,3,18,1,3,4,18,1,10,2,9,1,18,4,3,1,16,10,3,3,8,1,18,1,3,1,16,9,3,4,10,2,14,1,3,1,16,2,3,2,18,1,9,1,10,2,18,1,8,1,10,2,18,1,3,2,16,2,3,1,18,1,10,22,18,3,8,1,18,4,14,1,3,2,18,3,3,1,16,18,3,3,16,30,3,2,4,21,18,1,3,3,18,2,14,1,3,1,16,558,3,3,16,4,3,6,16,3,3,3,16,4,3,2,16,53,3,2,4,129,19,6,4,1,19,2,4,6,10,6,8,2,18,2,8,4,18,1,15,2,8,2,10,2,8,1,15,1,14,3,15,7,8,4,15,3,14,2,18,2,9,3,18,1,3,4,18,1,3,1,16,28,3,2,18,1,4,251,19,5,4,3,19,18,4,8,19,6,4,5,10,10,4,6,18,1,10,1,8,2,10,8,8,1,10,5,4,7,18,1,8,1,10,2,8,3,10,9,8,3,10,2,9,1,4,4,},
{4,516,19,4,4,3,18,4,4,3,18,1,3,1,18,1,4,2,19,4,4,6,19,9,4,29,18,1,4,18,18,2,4,92,19,4,4,1,18,3,8,3,15,4,8,3,15,7,8,15,18,7,14,1,3,5,18,14,8,3,10,1,8,34,18,1,9,4,10,8,9,2,10,2,9,2,18,4,4,10,18,2,4,595,19,4,4,5,18,1,3,2,4,44,18,2,3,2,16,5,3,3,16,8,3,2,18,1,19,2,4,1,3,1,16,4,3,1,18,1,4,59,19,2,4,2,18,4,3,4,18,1,10,2,18,4,3,1,16,12,3,4,16,10,3,2,18,1,10,2,18,1,3,5,14,1,9,1,10,6,18,1,3,4,18,1,10,8,18,3,10,12,9,1,8,3,18,1,3,1,14,1,18,2,3,2,18,3,3,1,16,18,3,3,16,28,3,2,4,24,18,1,3,1,18,1,9,1,18,1,3,1,16,559,3,3,16,4,3,2,16,8,3,2,16,5,3,1,16,52,3,4,4,127,19,5,4,11,10,6,8,2,18,2,8,20,10,1,8,2,15,1,8,3,15,1,8,1,15,1,14,1,3,1,18,5,3,2,16,2,3,1,18,1,3,2,16,28,3,2,18,1,4,250,19,5,4,4,19,16,4,10,19,6,4,5,10,4,8,2,10,2,4,8,18,1,8,1,10,9,8,1,10,3,8,1,4,8,10,3,8,3,10,4,8,1,10,6,8,2,10,1,8,1,10,1,4,4,},
{4,516,19,4,4,4,19,1,4,4,18,1,3,3,18,1,4,1,19,15,4,146,19,4,4,1,18,2,8,3,15,1,14,3,15,2,8,2,15,4,8,2,15,3,8,17,18,5,14,2,18,14,8,43,10,8,9,1,8,2,9,1,10,5,9,3,4,10,8,1,10,1,4,593,19,6,4,2,18,1,3,7,4,45,3,1,16,3,3,2,4,1,18,1,3,1,16,8,3,1,18,3,3,2,16,6,3,1,4,60,19,1,3,5,18,2,10,1,18,1,3,2,18,1,10,2,9,1,18,1,3,1,16,28,3,1,18,1,10,2,8,1,3,5,18,2,10,5,18,2,9,1,10,4,8,1,18,1,14,1,3,1,14,1,18,1,14,2,18,4,8,1,10,7,18,6,14,1,3,3,18,5,3,3,16,17,3,3,16,21,3,8,4,27,18,3,3,1,16,561,3,2,16,3,3,2,16,9,3,3,16,57,3,4,18,1,4,126,19,5,4,2,18,1,4,8,10,7,8,15,10,1,8,4,10,5,8,1,15,5,8,1,15,1,3,3,18,5,3,2,16,2,3,2,16,30,3,2,4,250,19,5,4,6,19,13,4,14,19,5,4,3,10,4,8,1,18,1,8,1,10,1,4,8,18,1,10,14,18,1,4,8,10,2,18,3,10,5,8,2,10,7,8,1,18,2,4,4,},
{4,517,19,9,4,3,3,4,4,2,19,11,4,150,19,3,4,2,18,3,8,2,15,2,14,2,15,2,8,2,15,3,8,3,15,3,8,20,18,15,8,46,10,1,8,11,10,7,9,1,18,1,4,8,18,1,8,2,18,1,4,591,19,6,4,1,19,1,3,1,16,8,3,1,4,44,3,1,16,3,18,1,4,3,3,1,16,8,3,1,18,2,3,1,16,8,3,2,4,57,18,1,3,3,18,1,3,4,18,1,10,2,3,1,16,1,3,1,18,1,9,1,10,1,18,1,3,1,16,18,3,2,16,8,3,1,9,1,10,3,18,1,3,3,18,3,10,2,9,1,10,1,18,3,10,4,9,1,18,1,3,1,16,2,3,6,14,2,15,1,18,3,10,3,8,1,18,6,14,1,3,3,14,1,18,3,3,1,16,43,3,8,18,1,4,27,18,1,3,1,18,1,3,1,16,561,3,2,16,15,3,3,16,57,3,4,4,126,19,5,4,2,18,3,4,5,18,4,8,1,10,5,8,1,10,4,8,8,9,1,8,6,10,3,8,1,15,4,8,2,15,1,3,6,18,4,3,3,16,32,3,1,18,1,4,250,19,3,4,7,19,13,4,14,19,6,4,2,10,3,8,1,18,3,10,2,4,9,10,12,4,1,18,1,4,9,10,1,18,3,10,5,8,3,10,6,8,1,18,2,4,4,},
{4,520,19,6,4,2,18,1,3,1,18,1,4,3,19,10,4,157,18,3,8,3,15,4,8,10,15,2,8,23,18,3,8,3,18,5,8,51,18,3,8,5,10,6,9,2,18,4,10,5,8,3,10,3,4,8,19,3,4,15,19,2,4,561,19,4,4,2,3,2,16,9,3,1,18,1,4,41,18,1,3,1,16,3,3,1,19,2,4,2,3,1,16,8,3,3,16,10,3,2,4,56,3,4,4,2,3,1,16,2,3,1,10,2,3,1,16,2,3,2,18,2,3,1,16,17,3,5,16,6,3,1,18,1,10,3,18,1,3,3,18,3,10,2,18,1,10,1,18,3,9,1,10,2,8,1,18,1,3,2,16,1,3,1,15,1,14,1,16,4,3,1,14,2,3,3,18,1,9,1,8,2,18,3,8,1,10,1,8,1,18,1,14,1,18,2,14,1,18,1,8,1,3,1,16,39,3,5,16,1,3,7,18,2,3,3,4,23,18,1,3,2,16,561,3,3,16,76,3,2,18,1,4,126,19,6,4,2,18,2,4,4,18,6,8,1,10,3,8,2,10,3,8,14,15,2,8,4,15,3,8,2,15,1,14,2,3,2,16,1,3,3,18,4,3,2,16,26,3,2,16,4,3,2,4,261,19,12,4,14,19,6,4,3,10,2,8,1,18,2,8,1,10,2,4,2,19,4,4,7,10,8,4,15,18,2,10,3,8,3,10,6,8,1,18,3,4,1,9,2,},
{4,520,19,6,4,3,18,1,4,2,19,12,4,157,18,3,8,48,18,3,8,52,18,5,8,3,9,1,10,1,9,1,10,4,8,2,18,4,8,1,9,1,10,3,8,5,9,1,18,1,4,6,19,7,4,10,19,5,4,560,19,4,18,1,3,1,16,12,3,1,4,40,3,2,16,3,3,1,19,3,4,1,3,1,16,9,3,3,16,11,3,1,4,56,3,1,16,1,3,2,4,2,3,1,16,2,3,1,18,2,3,1,16,4,3,3,16,18,3,5,16,5,3,1,18,1,10,3,18,1,3,2,18,4,10,2,18,1,10,1,18,1,3,1,18,3,14,1,3,3,16,3,14,1,15,1,16,4,14,2,3,1,16,2,3,2,18,4,8,2,10,3,18,4,3,1,14,1,9,1,3,1,16,39,3,6,16,1,3,8,16,3,3,1,4,22,3,2,16,563,3,1,16,77,3,2,4,127,19,6,4,7,18,7,8,7,10,2,8,5,10,3,8,1,15,2,8,2,15,10,8,2,14,2,3,1,16,4,3,2,18,2,9,1,18,2,3,2,16,24,3,1,10,2,18,1,3,5,4,265,19,8,4,15,19,6,4,3,18,2,10,5,4,1,19,8,4,5,10,7,4,17,18,1,10,12,8,1,18,2,10,1,8,2,},
{4,520,19,6,4,6,19,10,4,159,18,2,15,1,8,115,9,2,8,3,18,4,8,1,9,2,10,2,8,6,9,1,4,6,19,8,4,8,19,6,4,553,3,12,16,14,3,1,4,38,18,1,3,1,16,3,3,1,19,2,4,2,3,1,16,10,3,3,16,11,3,1,4,56,18,1,3,1,16,2,3,4,16,3,3,2,16,5,3,2,16,20,3,5,16,4,3,1,18,2,10,1,18,2,3,2,18,2,10,5,18,1,3,1,18,1,14,1,3,1,16,1,3,3,16,3,3,1,14,1,16,4,15,2,14,1,16,2,3,4,14,1,18,2,8,1,9,1,10,1,9,1,18,1,14,1,18,1,14,1,3,1,14,1,18,1,3,1,16,42,3,5,16,4,3,2,16,4,3,2,4,21,3,2,16,55,3,3,16,578,3,1,16,4,3,1,4,130,19,6,4,2,19,2,4,6,18,3,8,3,18,2,8,1,10,2,8,5,10,3,8,1,15,2,8,3,15,1,8,2,15,4,14,1,15,1,10,1,9,1,15,1,3,1,16,5,3,1,18,1,9,4,18,1,3,2,16,24,3,1,10,4,18,3,4,268,19,4,4,18,19,7,4,5,10,2,4,2,19,8,4,6,10,6,4,17,18,2,8,1,10,14,8,2,},
{4,521,19,4,4,7,19,4,4,164,18,3,8,15,15,6,8,45,18,1,8,31,15,1,8,22,18,3,8,2,9,1,10,4,8,4,10,2,4,7,19,7,4,8,19,6,4,551,3,2,16,26,3,1,18,1,4,38,3,4,19,3,4,2,3,1,16,10,3,5,16,3,3,3,16,2,3,1,18,1,4,57,18,1,3,2,16,2,3,3,16,3,3,2,16,4,3,2,16,22,3,5,16,2,3,2,18,1,10,1,18,2,3,3,18,1,4,1,18,1,10,2,18,1,3,2,18,2,3,1,16,2,3,2,16,4,14,1,16,4,14,3,16,1,3,6,14,2,15,2,18,2,14,2,15,1,14,3,18,1,3,1,16,43,3,3,16,12,3,1,4,21,18,1,3,1,16,53,3,9,16,565,3,1,16,12,3,2,4,131,19,5,4,2,19,2,4,6,18,4,8,21,15,1,8,3,15,1,14,2,15,1,8,1,10,1,8,1,14,1,16,6,3,2,18,3,9,1,18,2,3,3,16,17,3,7,18,1,10,3,4,4,19,2,4,265,19,2,4,19,19,7,4,5,10,2,4,1,19,9,4,7,10,5,4,18,18,2,10,13,8,3,},
{4,699,18,2,8,3,15,3,8,11,15,13,8,26,15,1,8,11,18,2,8,57,9,1,10,12,4,6,19,7,4,8,19,5,4,549,3,3,16,30,3,1,4,39,19,6,4,1,3,4,16,8,3,3,16,2,3,5,16,1,3,3,18,2,3,4,4,17,18,1,3,4,18,1,4,30,18,1,3,2,18,2,3,2,16,1,3,5,16,16,3,2,16,9,3,1,18,2,3,2,16,1,3,1,18,1,4,3,3,1,16,2,3,1,4,4,18,1,3,1,16,1,3,1,18,1,8,1,15,1,3,3,14,2,16,2,14,5,17,1,16,2,14,2,3,3,16,1,3,6,14,4,18,2,14,3,3,2,16,56,3,1,4,23,3,1,16,27,3,1,16,25,3,2,18,1,4,2,18,2,19,1,18,1,3,2,16,562,3,3,16,12,3,3,4,136,19,7,4,2,18,3,8,1,10,5,8,10,10,2,8,2,15,4,8,1,15,1,14,2,8,1,10,2,15,1,16,9,3,2,18,6,3,1,16,17,3,1,4,2,18,1,3,1,16,3,3,1,10,2,4,1,19,4,4,287,19,8,4,7,19,13,4,2,18,4,10,2,4,21,10,7,8,2,10,1,8,5,},
{4,699,18,2,8,3,15,1,14,1,15,1,8,13,15,12,8,24,15,4,8,9,18,2,8,51,9,2,8,3,9,2,10,13,4,8,19,3,4,562,3,1,16,34,19,1,4,37,19,7,4,2,18,3,3,1,16,12,3,12,16,2,3,1,19,1,4,15,19,1,3,1,16,4,3,2,4,30,18,1,3,13,16,14,3,3,16,9,18,1,10,1,18,1,3,3,4,4,3,4,4,4,18,1,3,1,16,1,3,1,18,1,8,2,15,1,14,2,15,2,14,4,3,1,14,3,16,2,3,1,14,2,3,2,16,1,3,9,14,5,18,1,3,2,16,54,3,3,4,23,18,1,3,3,16,23,3,2,16,25,3,1,18,1,4,8,18,1,3,2,16,559,3,4,16,14,3,1,19,1,4,136,19,7,4,1,18,2,8,2,10,5,8,10,10,2,8,1,15,3,14,1,15,1,8,2,15,2,8,1,9,1,10,1,15,1,16,11,3,1,18,1,9,3,10,1,18,1,3,1,16,3,3,2,16,11,3,1,4,3,18,1,3,1,16,2,3,1,18,1,4,2,19,4,4,288,19,13,4,1,19,13,4,3,10,5,4,22,10,6,8,2,10,6,},
{4,693,19,3,4,3,18,2,8,3,15,2,8,7,15,1,8,7,15,11,8,23,15,5,8,6,15,2,8,46,9,1,10,2,8,4,9,1,10,2,9,1,8,4,9,1,10,4,9,1,10,7,4,572,3,2,16,34,19,1,4,37,19,6,4,6,3,1,16,11,3,4,14,2,16,2,3,1,14,1,3,8,4,14,3,2,16,6,3,2,4,28,3,1,16,3,3,4,16,5,3,4,16,12,3,2,16,8,3,2,18,1,3,4,4,9,19,2,4,2,18,1,3,2,14,1,18,2,15,1,14,2,8,2,14,3,3,1,16,2,15,1,8,1,14,1,3,5,16,1,3,11,14,2,3,1,14,1,18,3,3,1,16,41,3,1,16,12,3,2,4,27,19,1,3,1,16,19,3,4,16,3,3,1,16,21,3,1,4,12,3,1,16,558,3,3,16,14,3,3,4,138,19,6,4,1,10,2,8,2,10,3,8,16,15,3,8,3,15,2,8,1,10,1,8,1,3,1,16,10,3,1,18,1,10,1,18,2,10,1,9,1,3,1,16,3,3,2,16,11,3,1,4,4,18,1,3,3,18,1,10,1,4,1,19,3,4,294,19,20,4,2,19,1,4,2,18,1,10,4,4,22,18,1,10,6,8,4,10,3,},
{4,692,19,4,4,2,18,3,8,20,15,10,8,24,15,3,8,55,10,5,8,2,9,1,10,4,9,1,8,2,9,3,10,2,9,2,10,7,4,572,3,1,16,4,3,6,16,25,19,1,4,38,19,5,4,6,3,1,16,11,3,4,14,2,3,2,14,2,3,6,16,1,3,1,4,14,3,1,16,9,3,1,4,27,3,1,16,4,3,3,16,5,3,2,16,14,3,4,16,1,3,2,16,3,3,3,18,2,3,1,18,1,4,2,18,1,4,5,19,3,4,2,10,1,18,1,3,2,14,2,15,3,8,2,15,1,14,1,16,4,15,1,10,1,15,1,14,1,16,6,3,2,16,4,3,1,14,1,3,7,14,1,18,1,3,2,16,33,3,1,16,5,3,4,16,2,3,10,4,29,3,2,16,3,3,2,16,4,3,2,16,3,3,3,18,2,3,1,16,3,3,3,16,3,3,3,16,3,3,1,16,10,3,1,4,12,3,1,16,558,3,3,16,13,3,4,4,139,19,6,4,1,10,2,18,1,8,1,18,1,8,1,10,3,8,9,15,1,8,4,15,1,8,3,9,1,8,1,15,2,10,2,15,1,16,11,18,1,10,1,18,5,3,1,16,2,3,3,16,10,3,2,4,3,10,6,4,1,19,2,4,295,19,10,4,1,19,9,4,2,19,1,4,2,18,2,10,3,4,22,18,1,10,6,8,5,10,2,},
{4,692,19,4,4,2,18,3,8,20,15,1,8,92,9,1,10,3,9,2,10,5,9,3,10,14,18,3,10,7,4,4,10,3,18,5,4,550,3,2,16,1,3,2,4,6,3,1,16,24,19,1,4,41,19,2,4,2,3,1,16,1,3,2,16,12,3,4,14,2,3,2,15,2,3,1,16,3,3,2,16,1,3,2,4,13,3,1,16,4,3,3,16,2,3,2,18,1,4,3,19,2,4,21,3,1,16,3,3,8,16,16,3,7,16,4,3,2,4,3,18,1,3,4,4,3,19,4,4,2,18,1,3,3,14,2,15,1,8,2,14,2,15,1,14,1,16,4,14,1,9,1,15,1,14,1,16,12,3,1,14,1,15,1,14,2,3,10,16,38,3,1,16,3,3,2,4,7,3,2,4,30,3,2,16,2,3,3,16,2,3,2,16,4,3,2,4,3,3,1,16,3,3,1,18,1,3,1,16,3,3,3,16,2,3,4,16,8,3,1,4,4,19,2,4,6,3,1,16,3,3,3,16,553,3,2,16,14,3,3,4,117,19,1,4,21,19,5,4,3,10,1,8,1,18,2,8,1,10,4,8,9,15,1,14,1,15,1,8,5,9,1,8,4,10,2,18,1,3,1,16,9,18,1,9,1,18,1,3,5,16,2,3,4,16,11,3,1,18,1,10,7,4,7,19,2,4,266,19,6,4,17,19,10,4,2,19,11,4,5,18,2,4,8,19,3,4,1,19,2,4,4,19,3,4,4,10,5,8,4,10,2,},
{4,691,19,5,4,2,18,3,8,18,15,3,8,12,15,1,8,9,15,5,8,66,9,1,10,9,9,1,10,16,9,3,10,17,9,1,18,1,4,551,3,2,18,1,4,8,3,1,16,3,3,4,16,15,3,1,4,37,19,1,3,3,4,2,19,2,4,1,3,2,16,13,3,7,16,1,3,1,8,2,14,1,3,1,16,2,3,5,18,1,4,12,3,1,16,5,3,1,16,4,3,2,18,1,4,2,19,5,4,19,3,2,16,2,3,3,18,3,3,1,16,6,3,2,16,8,3,2,18,1,4,1,18,1,3,1,16,5,3,2,4,4,3,1,16,2,3,1,4,2,19,4,4,2,18,3,3,4,14,1,8,2,14,2,8,1,14,1,16,4,14,1,8,1,14,1,3,1,16,12,3,1,14,1,15,2,14,1,3,1,14,1,3,1,16,2,3,1,18,3,3,1,16,42,3,1,18,1,4,7,3,2,4,31,18,1,3,10,16,3,3,1,18,1,4,3,3,1,16,3,3,1,18,2,3,3,18,1,3,3,16,1,3,1,4,3,3,1,16,5,3,2,4,5,19,5,4,2,18,1,3,1,16,2,3,1,4,2,3,2,16,552,3,2,16,9,3,1,16,3,3,2,18,1,4,113,19,7,4,20,19,7,4,1,10,2,8,1,18,1,10,5,8,2,18,1,8,4,10,1,8,1,15,1,14,1,15,1,8,1,10,1,9,1,8,1,15,1,8,1,10,1,9,1,8,2,9,1,10,2,3,1,16,9,3,1,9,1,18,1,14,1,3,5,16,2,3,3,16,12,3,1,18,1,10,6,4,5,19,5,4,264,19,8,4,16,19,10,4,2,19,11,4,5,18,2,4,8,19,6,4,4,19,4,4,4,10,10,},
{4,690,19,5,4,3,18,2,8,20,15,3,18,1,8,10,15,1,8,7,15,8,8,53,18,3,8,9,9,2,10,7,9,2,10,15,9,4,10,16,8,2,9,1,4,562,3,1,16,3,18,1,4,3,3,1,16,14,3,1,4,36,18,1,3,1,16,3,3,2,4,1,19,4,18,1,3,1,16,10,3,6,16,4,8,1,10,1,18,1,3,9,4,12,3,1,16,9,3,1,18,3,3,3,19,4,4,20,3,1,16,2,3,1,18,1,4,3,18,1,3,1,16,1,3,2,16,2,3,1,18,1,3,2,16,8,3,1,4,3,3,1,16,6,3,1,18,1,4,3,3,1,16,3,18,1,4,1,19,4,4,2,18,4,3,4,14,2,3,1,14,1,10,1,15,1,16,4,14,1,15,1,3,1,16,1,3,1,16,12,3,1,14,2,3,2,14,1,3,1,16,2,3,2,18,1,3,2,16,42,3,2,18,1,4,5,3,3,4,40,18,1,3,1,16,3,3,1,4,2,19,1,4,1,3,1,16,3,18,1,4,3,18,3,3,5,4,4,3,1,16,1,3,4,4,6,19,6,4,1,3,1,16,3,3,1,4,2,18,1,3,2,16,561,3,2,16,3,3,2,4,113,19,14,4,15,19,6,4,1,10,5,8,2,10,3,8,2,18,1,15,1,8,4,15,3,8,1,10,2,8,1,15,1,8,1,10,2,8,1,15,1,8,1,10,2,3,1,16,9,14,1,10,2,9,1,18,1,14,2,3,3,16,2,3,3,16,11,3,1,18,1,9,1,10,5,4,4,19,6,4,265,19,9,4,26,19,12,4,4,18,2,4,6,19,8,4,4,19,5,4,3,10,2,8,1,10,7,},
{4,690,19,5,4,3,18,2,8,12,18,2,8,6,15,3,18,1,8,8,18,1,15,4,18,1,8,3,18,1,15,14,8,8,18,4,8,34,18,4,8,11,9,1,10,6,9,2,10,15,9,3,10,16,8,4,18,1,4,561,18,1,3,3,4,5,3,2,16,11,3,1,18,1,4,36,3,1,16,6,3,1,19,4,18,1,3,1,16,7,3,4,14,1,3,3,16,5,14,1,8,1,15,1,14,1,15,1,18,3,3,5,18,1,4,10,3,1,16,9,3,1,18,2,3,2,16,2,3,1,19,3,4,21,3,2,18,1,4,5,3,2,18,2,3,2,18,2,3,2,16,8,3,1,4,3,18,1,3,1,16,5,3,2,18,1,4,2,18,1,3,1,16,2,18,1,4,2,19,2,4,1,19,1,3,2,18,3,3,5,14,1,3,1,14,1,10,1,15,1,16,4,3,2,16,2,3,2,16,11,3,1,14,2,3,1,14,1,15,1,14,1,16,2,3,1,18,1,3,2,16,45,3,3,4,2,3,2,16,1,3,1,4,41,3,4,18,1,4,1,19,2,4,1,3,1,16,2,3,1,4,3,18,2,3,3,16,3,3,1,4,4,3,1,16,1,3,1,18,2,4,7,19,5,4,1,18,1,3,1,16,3,3,1,4,2,3,2,16,562,3,2,16,3,3,2,4,113,19,14,4,15,19,6,4,1,10,5,8,1,18,2,8,1,10,2,8,2,15,2,8,7,10,2,15,2,8,1,10,2,9,1,18,2,9,2,18,1,3,2,16,7,3,1,9,1,10,3,8,1,18,3,3,1,16,3,3,2,16,2,3,5,16,4,3,1,18,1,8,1,10,5,18,1,4,3,19,6,4,265,19,9,4,27,19,12,4,3,18,2,4,5,19,3,4,2,19,3,4,5,19,6,4,3,18,2,10,3,8,1,9,3,},
{4,689,19,5,4,4,18,1,8,12,18,1,15,5,8,3,15,4,18,1,8,6,18,1,15,4,14,1,15,2,18,1,8,1,18,1,15,5,8,3,15,2,8,12,18,4,8,14,15,1,8,20,18,2,8,13,9,1,10,4,9,2,8,1,9,1,10,4,9,1,10,16,8,2,10,9,8,4,10,4,18,1,4,532,3,2,4,3,19,4,4,24,19,2,4,1,18,1,3,1,16,2,3,4,16,4,3,1,4,37,3,1,16,7,3,4,16,8,3,3,18,1,14,1,3,2,16,8,3,3,14,1,18,1,3,5,16,2,3,1,4,10,18,1,3,1,16,9,3,1,18,1,3,2,16,1,3,2,19,4,4,29,18,3,3,3,16,5,3,2,16,4,3,1,18,1,4,3,18,1,16,5,3,3,4,3,18,1,3,2,4,2,19,2,4,2,3,4,18,1,9,1,14,1,3,5,16,1,14,1,8,1,14,1,16,4,3,2,16,2,3,2,16,8,3,1,14,1,3,1,14,2,15,1,14,2,8,1,15,1,3,2,18,2,3,1,16,49,3,2,16,3,3,1,4,42,3,2,4,1,19,3,4,2,3,3,18,1,4,2,18,1,3,2,16,7,3,1,18,1,4,2,3,2,18,1,4,2,19,1,4,11,18,2,3,5,18,2,3,1,16,563,3,1,16,4,3,3,4,112,19,14,4,15,19,6,4,1,10,2,18,1,10,2,8,1,18,2,8,1,10,3,8,1,15,3,8,2,10,2,8,4,15,2,8,2,10,2,9,1,8,1,18,3,9,1,18,2,3,1,16,5,3,1,18,1,9,1,10,2,9,1,18,3,3,2,16,3,3,3,18,1,4,3,18,1,3,1,16,2,3,1,18,1,9,1,8,1,9,1,10,6,4,2,19,6,4,265,19,9,4,28,19,11,4,9,19,5,4,9,19,6,4,5,10,3,8,1,18,3,},
{4,688,19,6,4,3,18,2,8,12,15,1,14,5,15,1,8,2,15,1,14,1,15,2,18,2,8,1,18,1,8,1,18,2,15,4,14,3,15,1,18,1,8,2,18,3,8,5,15,2,8,9,18,5,8,3,18,5,8,4,15,1,8,1,15,2,18,2,8,35,9,1,10,3,8,4,9,1,10,2,9,6,10,10,9,2,8,3,10,7,8,4,10,5,9,1,4,529,3,3,16,1,3,1,19,1,4,1,19,6,4,22,19,4,4,2,3,2,18,1,4,2,18,1,3,4,4,38,3,1,16,16,3,5,18,2,3,2,16,11,3,7,16,1,3,3,4,10,18,1,3,1,16,9,3,3,16,2,3,2,4,1,19,3,4,29,18,1,3,2,18,1,3,1,16,6,3,2,16,5,3,1,18,1,4,3,3,1,16,6,3,1,18,1,4,3,18,2,4,1,19,3,4,1,3,2,16,2,3,1,18,1,9,1,14,1,3,3,14,2,3,2,14,1,3,1,16,4,3,4,4,1,18,1,16,8,3,1,15,1,14,2,15,1,8,5,15,1,18,1,10,1,9,1,3,1,16,54,3,1,4,45,19,3,4,2,18,2,4,2,19,1,4,1,3,1,16,10,3,1,4,1,19,1,4,3,19,3,4,7,18,2,3,4,18,3,3,4,16,568,3,4,4,113,19,12,4,15,19,5,4,3,18,1,10,4,8,1,18,2,8,2,10,1,8,3,15,2,8,2,10,2,8,4,15,3,8,1,9,1,10,2,9,1,18,2,9,1,10,3,18,1,3,3,16,2,3,1,15,1,18,1,10,2,9,1,8,2,9,1,18,1,3,2,16,2,3,3,18,1,4,5,18,3,10,2,9,1,8,1,10,6,4,2,19,6,4,265,19,8,4,30,19,11,4,8,19,5,4,9,19,6,4,6,10,2,8,1,18,3,},
{4,687,19,7,4,2,18,4,8,11,18,1,14,6,15,1,18,1,15,3,18,9,15,2,14,3,15,1,18,2,8,10,15,2,8,7,18,7,8,1,18,1,15,6,8,47,9,1,10,1,8,2,18,1,8,3,9,3,8,1,9,4,10,8,8,6,10,7,8,3,10,5,8,1,9,1,4,526,18,1,3,2,16,5,3,1,4,2,19,5,4,22,19,6,4,48,3,1,16,17,3,3,14,1,18,1,3,2,16,11,3,6,16,3,3,1,19,3,4,7,3,3,16,11,3,2,16,3,3,1,4,2,18,1,3,4,4,19,3,13,16,5,3,2,16,5,3,2,18,1,10,2,18,1,16,6,3,2,18,1,4,5,19,3,4,1,3,2,16,2,3,1,18,1,9,1,14,1,3,1,16,1,3,1,10,2,14,1,3,3,16,4,3,2,4,4,16,4,3,1,16,3,3,1,15,2,8,5,18,1,8,2,10,3,18,1,3,1,16,23,3,1,16,29,3,1,4,44,19,4,4,3,19,4,4,1,3,1,16,10,3,1,19,8,4,4,18,1,3,2,16,6,3,1,4,2,18,2,3,2,16,568,3,2,16,1,3,2,4,120,18,1,4,2,19,2,4,6,18,2,4,2,19,8,4,4,18,2,10,5,8,17,15,3,18,1,8,1,10,4,9,5,18,1,8,1,9,1,18,1,14,1,3,1,14,1,18,1,8,2,18,2,8,1,9,4,18,1,3,7,18,1,4,4,10,5,9,1,10,6,4,2,19,6,4,264,19,10,4,32,19,7,4,7,19,8,4,8,19,6,4,8,10,3,18,1,},
{4,686,19,7,4,2,18,3,8,13,18,2,14,7,15,1,18,10,15,5,18,3,8,3,18,1,8,6,18,1,15,3,18,7,15,1,18,5,8,1,18,1,15,6,8,48,9,1,8,2,18,2,8,3,9,1,8,1,18,3,9,3,10,7,8,6,10,7,8,3,10,5,8,2,18,1,4,525,3,1,16,7,3,1,18,1,4,1,19,5,4,23,19,5,4,48,3,1,16,14,3,1,16,1,3,1,18,3,3,3,16,12,3,1,14,1,3,4,16,1,3,2,19,5,4,6,3,1,16,8,3,1,14,1,3,1,16,2,3,1,16,3,3,4,16,5,3,1,18,1,4,17,3,1,16,3,3,9,16,5,3,3,16,5,3,1,18,1,10,3,18,1,3,1,16,4,3,1,16,1,3,1,4,5,19,3,4,1,3,1,16,3,3,1,18,1,9,1,14,1,3,2,14,1,10,2,15,1,3,2,16,6,3,1,4,4,16,3,3,2,16,4,15,1,18,1,8,3,10,1,8,1,15,2,8,1,10,3,9,1,3,1,16,23,3,1,16,24,3,6,4,45,19,3,4,2,19,4,4,2,18,1,3,2,16,1,3,1,16,5,3,1,19,8,4,3,18,1,3,1,16,7,3,2,18,1,4,2,18,3,3,1,16,568,3,2,16,2,3,1,4,107,18,1,3,1,4,9,18,1,3,1,16,1,3,1,18,1,4,7,3,3,18,1,4,1,19,8,4,4,18,3,10,5,8,2,18,1,8,10,15,1,8,2,15,3,18,1,8,2,15,2,18,1,9,4,8,2,10,3,14,1,3,1,14,1,15,1,8,2,15,2,8,1,9,1,8,1,9,1,10,2,18,1,3,3,16,3,3,1,4,4,10,12,4,2,19,6,4,265,19,6,4,36,19,6,4,7,19,8,4,9,19,1,4,2,19,1,4,10,10,3,},
{4,686,19,7,4,2,18,1,8,16,18,3,15,1,14,4,18,13,15,2,18,2,8,4,18,4,8,4,18,1,15,1,14,1,15,11,18,5,15,4,8,50,9,1,8,3,18,1,8,2,9,2,8,1,18,3,8,1,9,4,10,5,8,3,18,2,8,1,10,6,8,5,10,5,8,1,10,1,18,1,4,524,3,1,16,8,3,1,4,2,19,6,4,15,18,3,4,57,3,1,16,12,3,4,4,1,18,1,3,3,16,1,3,1,16,3,3,1,14,1,16,2,14,2,16,2,3,1,14,1,3,6,18,1,4,1,19,4,4,6,3,1,16,8,3,2,14,1,16,2,3,7,16,7,3,1,18,1,4,16,18,1,3,1,16,2,3,8,16,7,3,3,16,4,3,2,18,1,10,3,18,1,16,3,3,4,4,2,18,1,4,2,19,3,4,1,3,1,16,3,3,1,18,3,14,2,18,1,10,2,18,1,3,1,16,7,3,1,4,3,18,1,16,4,3,1,16,4,14,1,15,3,8,1,10,1,8,1,14,3,8,1,10,3,3,1,16,24,3,1,16,22,3,2,4,55,19,4,4,4,18,1,3,1,18,1,3,5,19,8,4,1,18,1,3,2,16,6,3,1,18,1,4,6,18,4,3,1,16,567,3,2,16,2,3,1,4,107,3,5,18,2,3,5,16,4,3,1,18,1,10,2,18,2,3,2,16,2,3,1,4,2,19,8,4,5,18,3,10,3,8,12,15,2,8,2,15,3,18,1,8,1,14,1,3,1,16,1,3,1,15,1,10,4,8,1,18,1,9,1,18,1,3,1,16,1,3,1,14,1,15,1,8,1,18,5,8,1,10,2,18,4,3,4,4,4,10,3,9,1,8,2,10,2,8,2,10,2,4,2,19,6,4,308,19,6,4,7,19,7,4,26,},
{4,687,19,6,4,1,18,1,8,21,18,1,15,1,14,2,18,1,8,2,18,13,8,4,18,5,8,2,18,1,15,2,14,2,15,11,18,5,8,61,9,2,8,2,18,1,8,1,9,5,10,6,8,2,18,2,8,2,10,5,8,7,10,2,8,3,9,1,4,524,3,1,16,9,3,1,4,2,19,4,4,11,3,2,4,1,18,1,3,6,19,1,4,1,19,1,18,1,19,1,4,50,18,1,3,1,16,8,3,2,18,1,4,5,18,1,3,1,16,3,3,4,14,2,3,1,14,3,16,2,3,1,14,1,3,6,4,2,19,4,4,6,18,1,3,1,16,2,3,2,16,3,3,1,14,2,17,2,14,4,18,1,3,1,16,9,3,1,18,1,4,16,18,1,3,1,16,1,3,8,16,7,3,1,4,2,3,8,10,3,3,1,16,2,3,3,18,1,4,2,3,2,4,1,19,3,4,1,3,1,16,3,3,1,18,4,8,1,9,1,8,3,3,1,16,6,3,2,18,1,4,1,18,1,3,1,16,4,3,1,16,3,3,1,15,4,8,1,10,1,8,1,3,1,16,2,14,1,10,3,3,2,16,33,3,1,16,12,3,1,4,56,19,4,4,3,19,1,4,5,18,2,4,2,19,6,4,1,18,1,3,1,16,7,3,1,18,1,10,1,4,6,18,4,3,2,16,553,3,3,16,5,3,1,16,4,3,2,16,1,3,2,4,106,3,1,16,3,3,4,16,10,3,2,14,1,3,2,16,3,3,2,18,1,4,2,19,8,4,5,18,3,8,14,15,2,8,2,15,3,8,2,3,1,16,4,14,1,10,3,9,1,18,2,14,1,3,3,14,1,15,1,8,3,18,4,8,1,9,1,18,2,4,2,18,4,4,4,10,1,9,1,8,3,9,1,8,4,10,2,4,3,19,5,4,309,19,5,4,8,19,6,4,26,},
{4,83,18,3,4,602,19,5,4,1,10,1,8,10,18,4,8,8,18,3,8,5,18,11,8,2,18,3,15,3,18,2,15,4,14,1,15,2,8,2,15,3,18,1,8,69,10,2,8,11,10,6,8,2,18,1,8,3,10,3,9,2,8,11,9,1,4,524,3,1,16,10,18,1,4,1,19,3,4,3,18,1,3,12,16,6,3,3,16,2,3,5,4,46,3,1,16,6,3,2,4,2,19,5,18,1,3,1,16,3,3,2,14,1,3,2,14,2,3,1,14,3,3,2,14,2,3,6,18,1,4,12,18,1,3,4,16,3,14,1,7,2,14,3,15,1,8,1,9,1,8,1,3,1,16,10,3,1,18,1,4,16,18,1,3,5,18,2,3,3,16,6,3,1,4,4,18,1,3,3,16,2,14,1,10,2,8,1,3,5,18,1,4,2,3,2,19,4,4,1,3,2,16,1,3,2,18,3,8,1,9,2,18,1,8,1,10,1,14,1,16,5,3,2,18,1,3,4,16,3,3,3,16,1,3,1,14,1,18,1,15,1,14,1,15,1,8,1,10,1,8,1,16,3,3,1,9,1,10,1,18,1,3,1,16,34,3,1,16,12,3,1,4,56,19,14,4,2,19,6,4,2,3,1,16,6,3,2,18,4,4,5,18,4,3,2,16,553,3,1,4,2,3,1,16,4,3,2,16,3,3,4,19,1,4,106,3,1,16,4,3,2,16,18,14,1,15,2,18,2,4,2,19,7,4,7,18,3,8,12,15,2,8,2,15,2,8,3,3,1,16,5,3,1,18,1,10,3,8,1,18,1,14,2,15,1,18,1,15,2,8,6,18,4,4,10,9,5,10,1,8,3,10,3,4,3,19,5,4,321,19,14,4,19,},
{4,82,18,1,3,2,18,1,4,603,19,2,4,3,10,1,8,10,18,2,8,12,18,1,8,5,18,13,15,4,8,3,15,7,8,75,10,3,8,3,10,4,8,6,10,4,8,8,10,3,9,3,8,2,18,1,8,3,18,4,4,524,3,1,16,9,3,1,4,1,19,3,18,1,3,3,16,28,3,1,4,46,3,6,18,1,4,2,19,6,3,1,16,3,3,2,18,1,14,1,3,1,16,4,3,3,14,3,3,5,16,1,3,2,4,12,18,1,3,5,16,1,17,1,14,1,7,5,8,2,10,1,18,1,3,1,16,11,3,1,4,18,3,4,18,2,3,4,16,5,3,1,18,1,4,4,18,1,10,1,18,1,16,2,3,1,18,1,10,2,8,1,18,1,3,3,18,1,4,2,3,2,19,4,4,1,3,2,16,1,3,1,18,4,9,1,10,1,9,1,18,1,8,1,10,1,18,1,16,5,3,1,18,2,3,11,14,1,18,2,14,2,15,1,10,2,15,1,16,4,15,1,9,1,14,1,3,1,16,33,3,3,16,2,3,6,16,3,3,1,4,57,19,1,4,5,19,14,4,2,3,3,16,4,3,2,18,4,3,1,18,1,4,3,18,1,3,7,16,552,3,1,4,2,18,1,3,1,16,4,3,2,16,3,3,3,4,106,3,6,18,1,3,2,16,16,7,1,8,5,18,1,4,3,19,4,4,9,18,2,8,20,9,1,14,1,16,7,14,1,9,1,10,4,8,1,9,1,8,3,15,2,8,2,9,1,8,2,18,3,4,9,18,2,9,1,10,4,8,2,10,2,8,1,10,1,4,3,19,5,4,319,19,17,4,18,},
{4,76,19,4,4,2,3,3,18,1,4,607,18,1,8,2,18,3,8,28,18,9,15,2,14,1,15,2,18,1,8,5,15,3,8,16,18,1,8,53,10,1,8,5,10,4,8,3,10,3,8,8,10,3,8,7,9,1,10,4,9,3,8,1,18,2,15,1,14,2,18,6,4,521,19,1,3,1,16,8,3,1,19,3,3,1,16,33,3,1,4,49,18,1,4,3,19,3,4,1,18,1,3,2,16,3,3,1,18,1,4,1,18,2,3,1,16,7,14,3,3,5,16,2,3,1,18,1,4,10,3,1,16,5,15,1,8,1,14,1,6,1,14,1,7,1,8,2,7,1,15,3,14,1,3,2,16,5,3,1,16,4,3,1,4,19,3,3,18,2,3,2,18,2,3,1,16,5,3,2,4,6,16,2,3,1,4,1,10,2,4,1,18,1,3,1,16,1,3,2,4,2,3,1,18,1,4,1,19,3,4,1,3,1,16,2,3,1,18,3,8,1,9,1,10,1,9,1,18,1,8,1,10,1,18,1,3,1,16,4,3,1,18,2,3,11,18,1,15,1,14,1,3,1,14,1,8,1,10,2,15,1,16,3,14,3,3,3,16,32,3,2,18,1,3,2,4,2,19,1,4,3,3,1,16,2,3,1,4,60,18,1,4,3,19,9,4,4,19,1,3,1,16,1,3,4,16,1,3,1,18,6,3,6,16,3,3,4,16,553,3,2,18,2,3,1,16,4,3,1,16,4,3,2,4,105,3,3,4,1,19,1,4,4,18,1,16,14,17,1,7,3,8,2,10,1,8,1,10,2,4,1,19,3,4,11,10,1,8,1,18,2,8,15,9,1,8,2,10,1,8,1,14,1,16,7,18,1,10,6,8,3,15,2,8,3,9,1,10,1,9,2,18,2,4,7,18,3,10,5,8,2,10,2,8,1,18,1,4,4,19,4,4,319,19,5,4,4,19,8,4,10,19,6,4,2,},
{4,75,19,5,4,1,18,1,3,3,18,1,4,503,19,4,4,99,18,3,8,1,18,3,8,28,18,4,8,4,18,2,15,1,14,1,15,3,8,23,18,1,15,1,18,1,8,52,10,1,8,5,10,4,8,2,10,3,8,9,10,6,8,5,10,5,9,1,8,1,18,2,14,2,15,2,18,6,4,522,3,1,16,8,3,1,19,1,4,1,3,1,16,34,3,1,4,53,19,2,4,1,3,7,18,1,4,3,18,1,3,1,16,7,3,1,14,2,3,3,18,1,3,1,16,3,3,1,4,10,3,3,16,3,18,1,9,1,14,1,3,1,17,1,14,1,8,3,15,2,14,4,3,10,18,1,4,21,18,2,3,3,18,2,14,1,3,3,16,3,3,1,4,6,18,1,3,1,18,1,4,5,3,1,16,2,3,1,4,5,19,3,4,1,3,4,18,4,10,3,18,3,3,2,16,4,3,1,4,2,3,1,16,1,3,1,16,1,3,6,18,2,14,1,3,2,14,1,8,1,10,2,15,1,3,2,14,1,15,1,14,1,3,3,16,33,3,1,4,10,18,1,3,2,18,1,4,57,19,1,3,4,19,1,4,2,19,8,4,4,3,1,16,2,3,2,18,1,4,1,18,2,4,2,18,3,3,2,16,8,3,4,16,555,3,1,18,2,3,1,16,3,3,1,16,2,3,4,18,1,4,104,3,2,18,1,4,1,19,4,4,1,18,1,16,4,3,3,14,1,3,2,16,3,17,1,14,1,7,3,8,2,10,5,4,14,10,2,8,2,18,2,8,5,15,1,8,10,10,2,9,1,14,1,16,6,3,1,18,1,10,4,9,1,8,1,9,1,8,1,15,2,8,4,10,3,18,2,4,7,18,2,8,1,10,5,8,2,10,2,8,1,18,2,4,3,19,3,4,3,19,3,4,314,19,5,4,4,19,8,4,9,19,7,4,2,},
{4,74,19,6,4,2,3,2,4,504,19,6,4,98,18,3,8,23,18,1,8,7,18,2,15,2,18,1,8,6,15,6,8,5,15,1,8,13,15,6,18,1,8,58,10,3,8,2,10,2,8,11,10,6,8,4,10,6,8,1,18,2,14,1,15,1,8,3,18,5,4,471,19,4,4,13,19,6,4,28,3,1,16,7,3,1,4,3,3,1,16,32,3,2,4,56,3,2,16,1,3,1,18,1,4,8,3,1,16,7,3,2,14,2,3,2,14,1,3,2,16,3,18,1,4,11,3,8,16,1,3,1,14,1,8,8,15,1,14,3,3,3,4,23,19,1,4,2,3,15,18,1,4,6,18,2,4,4,3,2,16,1,3,1,4,10,3,3,18,5,4,2,18,1,3,4,16,4,3,1,4,2,3,1,16,6,3,3,18,3,14,1,3,2,8,1,10,1,8,1,18,1,14,2,18,1,8,1,18,1,14,1,3,2,16,28,3,1,16,4,3,1,4,4,3,2,4,54,19,7,4,2,3,2,16,2,3,3,18,1,4,6,19,4,4,4,3,4,18,1,4,5,18,3,3,1,16,10,3,3,16,557,3,4,16,4,3,6,4,108,19,3,4,1,3,2,16,3,3,1,18,1,9,1,10,3,18,1,14,2,17,3,14,2,7,1,8,2,10,9,4,2,18,1,4,7,10,4,18,3,8,15,10,3,9,1,18,1,16,6,3,1,18,1,9,3,18,1,8,2,9,1,8,2,18,1,15,1,18,1,8,1,10,4,4,8,9,1,8,1,9,1,10,8,8,4,10,1,4,7,19,6,4,312,19,4,4,6,19,7,4,2,19,3,4,3,19,7,4,3,},
{4,74,19,6,4,2,18,1,4,505,19,5,4,98,18,4,8,22,18,3,8,6,18,1,15,3,18,1,8,7,15,4,8,18,15,3,14,1,15,4,18,3,8,56,10,3,8,2,10,2,8,9,10,9,8,4,10,5,8,1,18,2,15,1,8,1,10,3,8,1,18,4,4,470,19,6,4,12,19,6,4,10,19,3,4,15,18,1,3,2,16,2,3,2,19,1,4,3,18,1,16,28,3,2,16,1,3,2,4,57,19,1,3,1,16,1,3,1,19,1,4,9,3,3,18,1,3,6,18,1,14,1,3,6,16,2,3,1,4,12,3,2,16,1,3,4,16,2,3,1,14,1,8,4,10,2,8,3,15,1,8,1,14,1,3,2,4,6,19,2,4,14,19,4,3,16,18,1,4,11,18,1,3,3,4,11,3,3,18,3,4,4,18,1,3,4,16,3,3,1,4,2,3,1,16,6,3,3,18,2,3,3,18,1,8,1,10,1,8,1,18,1,8,1,10,2,8,1,18,3,3,1,16,28,3,1,16,4,3,1,4,4,3,2,4,55,19,6,4,2,3,1,16,3,3,2,19,2,4,14,18,1,3,3,18,1,4,4,18,1,3,3,16,9,3,1,18,2,3,2,16,558,3,4,16,3,3,2,18,1,3,2,18,1,4,108,19,3,4,1,3,1,16,2,3,2,18,1,10,6,8,2,15,1,14,4,15,1,8,5,10,7,8,3,10,3,4,2,18,1,10,4,8,1,18,2,8,16,9,4,3,1,16,6,3,2,18,4,8,1,9,1,10,1,8,1,18,1,15,2,8,2,10,4,4,1,18,2,4,3,10,2,9,2,10,8,8,3,10,6,4,3,19,7,4,330,19,14,4,2,},
{4,74,19,7,4,506,19,5,4,3,18,7,10,1,4,1,18,1,4,78,19,5,4,2,18,4,8,6,18,3,8,13,18,5,8,1,18,2,8,3,18,3,8,9,15,3,8,4,15,2,8,5,15,10,14,2,15,4,18,2,8,43,15,1,8,9,18,1,8,7,10,2,8,8,10,12,8,1,10,6,8,4,10,4,9,2,18,4,4,469,19,6,4,4,19,1,4,7,19,6,4,3,18,1,3,5,19,4,4,18,19,1,3,1,19,4,4,2,3,1,16,23,3,2,18,2,19,4,4,60,3,3,4,10,3,2,4,2,18,1,3,1,18,5,14,1,3,6,16,2,3,1,18,1,4,12,3,1,16,3,3,2,16,3,14,2,8,3,10,3,8,4,14,1,3,2,4,6,3,2,19,1,4,13,19,4,4,4,3,10,16,1,3,2,18,1,4,12,18,1,4,13,18,3,4,8,3,6,18,1,4,2,3,1,16,3,3,5,18,2,3,3,18,1,9,1,10,2,8,3,10,2,8,1,14,1,3,1,18,1,3,2,16,33,3,4,16,2,3,1,4,55,19,6,4,2,3,3,19,1,4,4,19,1,4,14,18,2,3,8,16,8,3,2,4,4,3,1,16,561,3,1,16,4,3,2,18,1,4,109,19,4,4,1,3,3,4,6,10,5,8,2,14,4,15,1,8,3,15,1,8,10,10,4,18,2,10,5,8,7,7,2,8,7,15,3,18,3,3,2,16,6,3,2,18,3,9,3,8,2,15,2,8,2,10,5,8,1,9,1,10,5,8,2,10,4,9,1,8,1,10,11,4,3,19,7,4,330,19,14,4,2,},
{4,74,19,7,4,413,19,4,4,89,19,5,4,1,18,2,3,2,18,4,8,1,18,4,4,16,19,5,4,55,19,6,4,1,18,5,8,6,18,4,8,12,18,4,8,15,18,1,8,8,15,4,8,4,15,10,14,3,15,3,18,2,8,52,18,1,15,3,8,7,10,2,8,7,10,10,8,1,10,8,8,3,10,8,18,3,4,469,19,5,4,2,19,1,3,4,4,7,19,5,4,2,18,1,3,1,16,5,3,1,19,4,4,20,19,3,4,1,3,1,16,23,3,1,18,1,4,67,19,2,4,11,18,1,4,1,19,2,4,4,18,2,3,9,16,2,3,1,4,12,3,4,18,2,3,3,17,1,14,1,7,1,8,9,14,1,3,2,18,1,4,5,3,3,4,13,19,4,4,5,18,1,3,3,18,4,3,4,18,1,4,37,18,1,3,3,18,2,4,3,3,1,16,2,3,6,18,2,3,3,18,1,8,6,10,2,8,1,3,3,18,2,3,1,16,38,3,1,4,52,18,1,3,1,19,7,4,6,19,5,4,13,18,1,3,4,16,15,3,1,4,3,18,1,3,1,16,566,3,2,4,110,19,4,4,10,10,7,8,1,15,4,8,2,15,5,18,1,8,10,18,2,8,1,10,5,8,7,7,1,8,7,15,1,14,2,3,5,16,7,3,2,18,1,8,2,9,1,8,4,18,1,8,2,10,5,8,2,10,5,9,1,8,2,10,2,8,4,10,10,4,3,19,7,4,331,19,12,4,3,},
{4,74,19,7,4,411,19,6,4,88,19,5,4,2,3,4,18,3,8,2,18,4,4,16,19,6,4,52,19,7,4,2,18,6,8,6,18,3,8,13,18,3,8,1,10,1,8,13,18,1,15,1,8,6,15,6,8,3,15,16,8,53,18,3,15,1,18,1,8,16,10,2,8,10,10,5,8,4,10,1,8,5,10,3,18,2,4,470,19,3,3,6,16,3,3,5,18,1,4,2,19,4,4,2,3,1,16,7,3,1,4,1,19,2,4,19,19,3,4,1,19,1,3,1,16,23,3,1,18,1,4,2,19,3,4,77,19,3,4,3,18,1,3,6,16,1,3,4,16,2,3,1,18,1,4,17,18,1,3,1,14,3,15,2,14,4,15,3,3,1,16,2,3,1,18,1,4,4,18,1,3,2,4,14,19,4,4,8,19,3,4,6,19,2,4,35,18,2,4,6,3,2,16,2,3,2,16,3,3,2,18,2,3,2,14,2,3,1,14,1,8,1,10,1,18,2,10,1,18,1,16,2,3,1,18,1,3,2,16,37,3,1,4,51,18,1,3,1,16,2,3,6,4,8,19,4,4,2,18,2,3,10,16,20,3,4,16,549,3,3,16,12,3,5,4,110,19,4,4,2,19,3,4,5,18,2,8,1,10,5,8,6,15,2,18,1,8,2,18,2,8,8,18,2,8,3,10,4,8,9,7,2,8,6,15,1,14,1,3,1,14,1,3,2,16,8,3,1,18,1,8,3,10,3,8,5,10,4,8,2,10,6,9,1,8,1,9,2,8,1,18,1,8,1,9,1,10,2,8,2,18,1,8,2,10,3,4,3,19,6,4,333,19,3,4,11,},
{4,74,19,6,4,412,19,5,4,3,18,3,4,83,19,5,4,1,18,1,3,4,14,2,18,8,4,15,19,6,4,52,19,6,4,3,18,8,8,21,18,1,8,1,10,2,8,12,18,2,15,1,8,6,15,7,8,1,15,15,8,29,18,2,8,57,10,3,8,5,10,3,8,4,10,3,18,1,4,471,19,1,4,1,3,1,16,15,3,1,4,6,18,1,3,1,16,8,3,1,4,20,19,3,4,2,3,1,16,8,3,2,16,15,3,1,18,1,4,1,19,4,4,76,19,4,4,2,3,1,16,2,3,3,16,4,3,2,16,3,3,1,4,17,18,1,3,1,14,6,16,3,3,1,14,2,3,1,16,3,3,1,4,32,19,6,4,2,19,4,4,42,3,1,16,10,3,1,18,1,9,1,18,2,3,3,14,1,10,2,18,2,10,1,18,1,16,2,3,1,18,1,3,5,16,33,3,2,4,51,3,2,16,1,3,1,16,5,3,1,4,7,19,4,4,1,18,1,3,3,16,583,3,1,18,1,3,2,16,11,3,5,18,1,4,109,19,10,4,4,18,2,8,1,10,6,8,3,15,2,14,1,15,1,8,4,18,3,8,5,18,2,8,5,10,2,8,10,7,3,8,2,10,1,8,2,15,1,14,2,18,1,3,1,16,9,3,1,14,1,8,3,10,4,8,4,10,11,9,1,18,1,14,2,18,3,8,1,9,1,10,3,8,1,18,2,8,1,10,3,4,3,19,5,4,348,},
{4,74,19,6,4,412,19,4,4,1,18,5,4,84,19,4,4,2,18,1,3,3,14,3,18,10,4,1,18,5,4,8,19,5,4,9,19,2,4,41,19,5,4,3,18,2,8,3,18,6,8,15,10,2,8,4,10,2,8,1,18,1,15,3,18,4,8,2,18,2,15,2,8,7,15,15,8,1,15,5,8,23,18,2,8,5,18,2,8,21,15,1,8,9,10,2,8,24,10,3,8,5,10,5,8,2,18,2,4,1,18,1,4,472,18,1,3,1,16,16,3,1,4,4,18,1,3,1,16,9,3,1,19,1,4,24,18,1,16,8,3,2,16,16,3,3,19,3,4,75,19,6,4,1,3,1,16,3,3,2,16,4,3,2,16,3,3,1,4,17,3,3,14,3,16,12,3,1,18,1,4,31,19,12,4,40,18,1,3,1,16,12,18,1,10,2,18,1,3,2,14,1,8,1,10,2,8,1,10,2,8,1,3,1,16,1,3,7,16,33,3,1,4,53,3,2,19,1,3,1,16,3,3,1,18,1,4,7,19,2,4,1,19,1,3,2,16,587,3,5,16,12,3,3,4,109,19,10,4,4,10,9,8,2,15,1,14,4,18,1,8,3,15,1,18,2,8,5,18,2,8,1,10,1,8,1,18,1,8,4,18,1,8,16,15,2,18,1,9,1,18,1,16,10,3,1,18,1,9,1,10,1,8,2,10,2,8,3,10,10,9,1,8,1,15,1,3,5,18,1,9,1,10,6,8,4,10,1,4,345,10,6,4,4,10,1,},
{4,74,19,6,4,412,19,3,4,1,18,1,3,4,18,1,4,84,19,3,4,3,18,1,3,2,14,6,18,8,10,1,18,6,4,10,19,1,4,9,19,5,4,39,19,4,4,3,18,2,8,5,18,4,8,13,10,7,8,2,10,1,8,1,18,1,14,4,15,3,18,6,15,1,8,3,10,1,8,3,15,20,8,23,18,3,8,4,18,4,8,20,18,1,8,9,10,2,8,10,10,3,8,11,10,3,8,5,10,5,8,2,18,1,4,474,18,1,3,1,16,18,3,1,18,1,3,3,16,4,3,1,16,6,3,1,18,1,4,23,3,1,16,8,3,2,16,19,3,1,4,1,19,1,4,74,19,8,3,1,16,2,3,3,16,9,3,1,4,16,3,1,16,3,14,2,16,12,3,2,18,1,4,31,19,12,4,40,3,1,16,7,3,1,16,4,3,1,18,1,10,2,9,1,3,2,18,1,8,2,10,4,18,1,3,6,18,1,3,2,16,33,3,1,18,1,4,56,3,3,18,1,4,8,19,2,4,1,3,1,16,590,3,2,18,1,3,1,16,13,3,2,4,109,19,10,4,3,10,5,8,3,10,2,8,2,15,1,14,4,18,1,8,3,18,2,8,1,10,4,8,1,18,2,8,1,10,1,8,2,18,6,8,15,15,2,8,1,10,1,9,1,3,1,16,9,3,1,15,1,18,1,8,1,15,1,8,1,10,3,8,1,10,11,8,2,14,1,3,1,16,3,3,1,18,1,9,2,8,1,9,1,10,5,8,2,10,1,4,341,18,2,10,6,8,1,18,5,10,1,},
{4,74,19,6,4,416,18,1,3,2,18,3,4,2,19,4,4,84,18,1,3,1,14,8,15,1,8,3,18,2,8,3,18,11,4,14,19,6,4,32,19,9,4,5,18,2,8,10,10,2,8,2,10,4,8,2,10,10,8,2,15,1,14,5,15,2,18,1,8,5,18,2,8,2,10,2,8,3,15,20,8,5,18,1,8,4,18,1,8,11,18,2,8,5,18,4,8,38,10,9,8,3,10,2,8,4,10,4,8,3,10,8,18,2,4,471,3,2,16,20,3,2,16,7,3,1,16,7,3,1,4,23,3,1,16,20,3,2,16,7,3,1,19,2,4,76,19,5,4,1,3,1,16,1,3,6,16,7,3,1,4,11,19,1,3,4,16,5,3,1,16,8,3,2,16,2,3,1,18,1,4,2,19,5,4,27,19,7,4,43,3,1,16,3,3,10,18,1,9,1,10,1,9,1,3,2,14,1,18,2,8,1,10,1,9,1,8,1,18,1,3,4,18,2,9,1,18,1,3,1,16,34,3,2,18,1,4,62,19,4,4,2,18,1,3,1,16,591,3,2,18,1,3,2,16,10,3,2,4,110,19,4,4,8,10,6,8,1,10,5,8,1,15,1,14,3,15,1,18,1,8,1,9,1,10,1,9,1,10,6,8,1,18,1,15,1,8,1,10,1,8,5,18,3,8,15,15,2,8,1,10,2,18,1,3,1,16,7,3,1,14,1,15,1,14,3,15,1,8,1,10,1,8,2,10,11,8,1,18,1,14,1,3,1,16,3,3,1,18,1,9,1,18,1,14,2,9,1,10,7,4,341,18,2,8,1,10,4,8,6,10,2,},
{4,75,19,4,4,416,18,3,14,1,18,3,4,2,19,4,4,83,18,1,3,2,14,3,7,1,14,2,7,2,8,4,18,2,8,3,18,12,4,13,19,6,4,32,19,7,4,6,18,4,8,8,10,3,8,2,10,16,8,2,18,1,14,3,15,3,18,1,8,6,18,2,8,1,9,1,10,2,8,4,18,1,15,8,14,2,15,8,8,4,18,8,8,10,18,2,8,5,18,3,8,27,18,2,8,9,10,10,8,2,10,4,8,1,10,7,8,2,10,7,9,1,18,1,3,1,18,1,4,469,3,1,16,30,3,3,16,6,3,1,19,1,4,22,3,2,16,19,3,2,16,5,3,2,4,1,19,2,4,76,19,5,4,1,3,1,16,1,3,3,16,1,3,4,16,5,3,1,4,11,18,1,16,17,3,1,14,1,3,4,18,1,4,2,19,6,4,76,3,1,16,4,3,1,18,3,3,5,18,1,9,1,10,1,9,1,3,4,18,2,9,2,18,2,3,2,16,1,3,2,18,3,3,1,16,36,3,1,4,62,19,4,4,1,3,2,16,37,3,2,16,39,3,4,16,22,3,2,16,486,3,6,16,8,3,3,4,110,19,2,4,10,18,1,8,2,18,1,15,3,8,2,10,2,8,2,15,4,18,2,9,1,10,10,18,2,8,4,10,3,8,1,18,3,8,9,7,2,8,7,10,2,9,1,3,1,16,6,14,2,15,1,14,3,15,1,8,9,10,6,8,2,15,2,3,1,16,1,3,1,15,1,9,1,18,1,3,1,16,2,3,1,18,1,10,5,4,342,18,2,8,11,10,2,},
{4,494,18,3,8,1,18,1,15,2,18,1,4,2,19,4,4,83,18,1,3,1,16,1,3,1,14,4,7,3,8,4,15,1,18,2,8,1,18,13,10,6,4,1,18,1,4,5,19,9,4,27,19,8,4,4,18,7,8,8,10,3,8,2,10,17,8,2,18,3,8,10,18,2,8,2,10,2,8,5,15,8,14,2,15,8,8,5,18,7,8,11,18,1,8,5,18,3,8,26,18,1,15,1,18,2,8,8,10,10,8,2,10,13,8,1,10,6,8,1,18,1,3,3,4,2,19,5,4,457,18,1,3,5,16,20,3,2,16,2,3,2,16,2,3,4,16,7,3,1,4,24,3,1,16,26,3,1,19,4,4,76,19,6,3,1,16,1,3,2,16,4,3,2,16,5,3,1,4,12,3,1,16,16,3,1,18,2,3,3,18,1,4,2,19,6,4,52,19,3,4,7,18,3,4,12,3,1,16,4,3,1,18,2,3,1,16,4,3,1,10,2,9,1,18,1,3,3,14,1,18,1,8,2,18,2,3,1,16,4,3,3,16,28,3,1,16,8,3,1,19,1,4,61,19,4,18,1,3,1,16,78,3,8,16,6,3,3,16,8,3,6,16,6,3,3,16,468,3,3,16,4,3,2,16,12,3,1,16,1,3,2,4,120,18,2,14,1,3,3,16,1,17,1,14,3,15,1,8,3,15,2,18,3,4,12,18,2,8,1,18,1,8,1,10,4,18,3,8,9,7,2,8,6,18,1,8,1,10,1,9,1,14,1,3,1,16,5,3,1,14,2,15,4,8,9,10,6,8,1,9,3,18,1,14,2,9,2,18,1,3,1,16,4,3,1,18,1,9,1,10,1,4,336,19,4,4,3,18,3,8,10,10,2,},
{4,494,18,1,3,1,18,1,8,1,18,2,15,1,18,2,4,1,19,5,4,81,18,1,3,1,16,2,3,1,14,4,7,3,8,4,18,14,8,2,10,7,18,3,4,5,19,14,4,21,19,7,4,4,18,7,8,9,10,3,8,2,10,3,8,3,10,5,8,5,10,1,8,15,18,2,8,8,18,1,15,18,7,1,15,1,8,7,18,1,8,17,18,2,8,29,18,1,15,2,18,1,8,8,10,5,8,7,10,20,9,1,18,1,3,1,16,1,3,1,4,2,19,6,4,455,3,2,16,5,3,2,16,17,3,12,16,8,3,1,4,24,3,1,16,26,3,1,19,3,4,78,19,5,3,1,16,7,3,2,16,5,3,1,4,13,3,2,16,14,3,2,18,1,3,3,4,3,19,6,4,51,19,4,4,6,3,4,18,1,4,12,3,1,16,3,3,2,18,1,3,1,16,4,3,1,18,1,9,1,18,2,3,1,16,1,3,2,8,1,9,2,8,1,18,1,3,1,16,5,3,2,16,28,3,2,16,7,3,1,19,1,4,61,19,4,3,1,16,79,3,10,16,3,3,13,18,1,4,3,3,2,16,3,3,2,18,2,3,2,16,3,3,2,16,462,3,4,16,3,3,1,16,13,3,4,4,120,18,2,3,3,16,7,14,1,15,1,8,4,10,1,4,7,19,4,4,2,18,4,8,1,10,4,8,1,18,2,8,18,18,3,14,1,3,1,16,2,3,3,14,1,15,1,8,15,10,4,8,2,10,4,9,2,10,2,18,1,16,7,3,1,18,1,4,334,19,6,4,3,18,2,8,11,10,2,},
{4,494,18,1,3,1,18,7,4,2,19,5,4,79,18,1,3,2,16,2,3,1,14,3,7,5,8,4,15,1,8,2,18,2,8,11,10,1,18,2,10,3,18,3,4,8,19,12,4,20,19,6,4,3,18,4,8,4,10,1,8,9,10,3,8,32,18,5,8,7,18,1,15,17,7,3,8,56,18,1,15,2,18,1,8,10,10,1,8,12,10,19,18,1,3,1,18,1,4,2,19,6,4,453,3,2,16,3,3,6,16,17,3,1,15,1,14,1,3,1,16,1,3,4,14,1,3,2,16,6,3,2,4,26,3,1,16,25,3,1,19,4,4,34,18,1,4,32,18,1,3,6,18,1,4,5,19,2,18,1,3,1,16,6,3,2,16,6,4,15,3,2,16,4,3,2,16,7,3,1,18,1,4,2,18,1,4,60,19,3,4,5,18,6,4,2,18,1,3,2,4,4,19,3,4,2,3,2,16,1,3,5,16,3,3,2,18,3,3,3,18,1,9,1,10,2,9,1,18,1,3,1,16,6,3,3,16,35,3,1,4,62,19,4,3,1,16,35,3,2,16,44,3,3,18,1,3,2,19,1,3,2,16,1,3,2,19,1,4,6,19,4,4,6,3,5,4,4,3,2,16,2,3,3,16,3,3,1,16,458,3,3,16,18,3,2,18,1,4,120,18,4,3,2,16,7,14,1,8,3,10,2,4,2,19,9,4,2,18,4,8,1,10,5,8,8,10,4,8,7,10,1,8,1,14,1,3,3,16,3,3,1,14,1,8,1,10,3,8,14,10,3,8,2,9,1,10,7,9,1,3,1,16,7,3,2,4,333,19,6,4,3,18,1,8,12,10,2,},
{4,494,18,7,8,1,10,1,4,2,19,5,4,79,18,1,3,1,16,1,3,2,14,2,17,1,14,1,7,6,8,19,10,2,9,1,10,2,8,1,18,4,4,7,19,12,4,19,19,5,4,4,18,4,8,4,10,4,8,7,10,4,8,31,18,2,8,3,18,2,8,5,18,2,15,13,7,7,8,22,18,3,8,31,18,2,8,7,10,5,8,7,10,2,8,4,10,4,8,2,10,12,18,2,4,4,19,5,4,452,3,1,16,4,3,2,14,1,3,2,18,1,3,1,16,15,3,2,14,4,16,1,3,13,18,1,4,27,18,1,3,1,16,23,3,2,4,1,19,2,4,34,3,3,19,1,4,29,3,9,4,5,19,2,4,1,18,1,3,1,16,4,3,3,16,6,4,16,3,1,16,3,3,3,16,6,3,2,18,1,4,63,19,3,4,1,18,4,3,3,18,5,3,3,4,4,19,4,4,2,3,1,16,3,3,9,18,2,3,3,18,1,10,3,9,1,18,2,3,1,16,5,3,1,18,2,3,1,16,34,3,1,4,63,19,2,4,1,3,1,16,13,3,2,16,20,3,2,16,45,3,1,18,1,4,5,19,1,3,3,4,18,3,3,19,1,4,5,3,3,19,2,3,1,16,2,3,4,16,457,3,3,16,17,3,2,4,122,10,1,9,1,8,1,18,1,14,1,3,1,16,6,14,1,15,1,8,1,10,3,4,2,19,10,4,1,18,4,8,1,10,8,8,6,10,3,8,6,10,2,8,1,14,1,3,1,14,2,3,4,14,1,10,4,8,15,10,2,8,3,9,1,10,7,3,1,16,8,3,1,18,1,4,332,19,6,4,3,10,1,8,12,10,2,},
{4,64,19,4,4,426,18,7,8,1,10,1,4,2,19,5,4,79,18,1,3,3,14,3,17,1,6,1,7,4,14,2,7,1,8,18,10,1,9,1,18,1,10,2,8,1,18,1,8,2,10,2,18,3,10,1,4,3,19,13,4,17,19,3,4,6,18,4,8,5,10,1,8,4,10,9,8,3,18,2,8,10,10,2,8,5,10,2,8,7,18,1,8,2,9,1,8,2,18,1,8,6,18,2,15,12,7,7,8,4,15,2,8,16,18,3,8,23,15,3,18,1,8,13,10,5,8,6,10,3,8,4,10,4,8,2,10,12,18,3,4,457,3,3,16,2,3,8,18,1,15,1,3,3,16,12,14,7,3,2,16,1,3,3,18,1,4,35,3,1,16,23,3,1,18,1,4,36,3,1,16,3,3,1,18,1,4,27,3,9,18,1,19,1,18,1,4,3,19,3,4,1,3,1,16,4,3,3,16,5,3,1,4,17,3,1,16,2,3,3,16,5,3,1,8,1,4,65,19,2,4,1,18,1,3,1,18,3,3,5,18,2,3,3,18,2,4,1,18,1,4,1,19,5,4,1,3,1,16,5,3,2,16,1,3,3,18,2,3,5,9,1,10,2,9,1,18,1,3,3,16,4,3,1,9,1,10,1,3,1,16,34,3,1,4,66,3,1,16,12,3,2,18,1,3,4,16,63,3,1,19,1,4,7,3,1,19,1,4,19,19,3,4,9,19,1,3,4,4,2,3,1,16,6,3,1,16,452,3,1,16,10,3,3,16,4,3,2,4,123,18,3,8,4,14,2,17,2,14,2,15,1,8,1,10,1,4,3,19,10,4,1,18,2,14,1,18,1,8,3,10,6,8,18,18,1,15,2,18,1,8,1,18,1,14,2,15,1,8,1,10,2,8,1,15,1,8,2,10,2,8,10,10,4,8,3,9,1,8,1,9,2,10,2,18,1,3,1,16,7,3,1,18,1,4,332,19,5,4,3,10,3,8,12,10,1,},
{4,63,19,5,4,431,18,2,8,2,10,1,4,2,19,4,4,79,18,1,3,3,14,3,17,2,14,2,7,1,14,3,7,1,8,18,10,6,8,2,10,3,8,2,18,1,10,1,4,5,19,13,4,15,19,3,4,2,18,2,4,1,18,5,8,7,10,9,8,7,18,1,8,10,10,2,8,17,9,1,8,15,15,10,7,4,15,2,8,3,15,2,8,16,18,4,8,22,15,4,18,1,8,11,10,5,8,1,10,4,8,2,10,4,8,3,10,5,8,1,10,12,18,3,4,5,18,1,4,450,3,1,16,4,3,2,18,3,14,1,3,3,18,2,14,2,15,1,14,1,16,11,14,3,16,2,17,1,14,1,3,2,16,2,3,1,18,1,4,36,18,1,3,1,16,18,3,4,18,1,4,37,3,1,16,4,3,1,4,27,3,4,18,1,3,3,18,1,4,1,19,1,3,2,4,2,19,5,3,2,16,1,3,5,16,1,3,3,18,1,4,17,3,1,16,2,3,8,18,1,10,1,4,65,19,3,4,1,18,4,3,9,18,3,3,2,18,1,4,1,19,4,4,2,3,1,16,5,3,5,18,2,3,5,18,1,10,2,18,1,3,4,16,4,3,1,10,2,18,1,3,1,16,33,3,1,4,66,3,9,16,4,3,1,18,2,3,4,16,56,3,1,16,6,3,1,19,1,4,41,3,3,19,1,4,2,19,1,3,3,16,1,3,7,16,459,3,4,16,4,3,1,4,124,18,1,8,2,10,5,15,1,14,3,18,1,8,1,4,4,19,9,4,2,18,6,8,1,10,6,8,2,10,2,8,14,18,2,8,2,10,2,8,1,15,3,8,2,15,2,8,1,10,2,8,12,10,3,8,6,15,1,18,1,10,2,9,1,3,1,16,6,3,1,4,333,19,5,4,3,10,3,8,11,10,2,},
{4,63,19,3,4,426,19,5,4,3,18,5,4,1,18,1,4,83,3,5,17,3,16,1,17,1,14,1,7,3,8,19,10,11,8,3,18,1,4,9,19,9,4,15,19,3,4,2,18,9,8,6,10,9,8,2,18,1,8,6,18,1,15,2,18,1,8,1,10,2,8,11,18,11,8,6,18,3,8,3,10,2,8,2,15,3,14,1,15,7,7,1,8,3,15,1,8,2,15,2,8,15,15,4,8,23,18,9,8,7,10,2,8,4,10,5,8,1,10,4,8,3,10,16,9,1,18,4,4,5,18,1,4,444,3,2,18,1,4,2,18,1,3,1,16,1,3,3,18,3,14,13,3,3,14,1,3,1,16,6,14,3,16,6,3,2,18,1,4,37,18,1,3,1,16,9,3,2,16,6,3,2,19,1,4,39,18,1,3,1,16,3,3,2,4,27,3,8,4,1,18,1,3,3,4,1,19,4,4,2,3,7,18,1,4,20,18,1,3,1,16,2,3,2,18,1,4,4,18,1,10,2,4,65,19,3,4,2,18,1,9,1,18,2,3,1,14,1,15,1,14,1,16,3,14,1,18,4,3,2,18,1,4,1,19,4,4,1,18,1,3,1,16,4,3,5,18,3,3,3,14,1,9,1,10,1,18,1,3,1,16,1,3,2,16,6,9,1,10,1,18,1,16,33,3,2,4,72,18,1,3,2,16,4,3,1,18,1,3,2,16,17,3,3,16,5,3,3,16,30,3,4,16,4,3,1,19,1,4,41,3,3,19,1,4,5,19,1,3,2,4,4,19,1,3,3,16,434,3,1,16,16,3,1,16,13,3,1,4,124,10,2,8,3,10,3,15,1,14,1,15,1,8,2,9,1,4,4,19,6,4,6,18,4,8,1,10,7,8,18,18,2,8,6,15,2,8,28,14,1,3,1,15,1,9,1,10,2,18,1,16,5,3,1,4,333,19,5,4,3,10,2,8,10,10,4,},
{4,63,19,3,4,426,19,6,4,2,18,5,3,3,18,1,4,81,3,5,17,1,14,1,17,1,16,2,17,1,14,1,7,2,8,2,15,3,8,15,10,5,8,9,18,1,4,9,19,8,4,20,18,8,8,2,10,2,8,2,10,5,8,7,18,2,8,6,18,1,15,1,18,1,8,1,10,1,8,11,18,2,15,1,18,10,8,4,18,3,8,3,10,3,8,3,15,12,8,2,15,2,8,18,15,3,8,26,18,8,8,12,10,5,8,2,10,4,8,1,10,14,9,1,18,8,4,448,18,1,16,2,3,7,18,1,9,1,18,2,15,1,14,2,15,2,14,12,15,1,14,2,16,5,14,1,7,1,14,1,16,8,18,1,4,38,18,1,3,1,16,2,3,6,18,2,3,6,18,1,4,42,3,1,16,5,3,1,4,27,3,7,4,2,3,3,18,1,4,1,19,3,4,4,18,1,3,2,18,1,4,22,18,1,3,4,4,7,10,3,4,1,18,1,4,11,18,4,4,47,19,3,4,1,18,4,14,2,15,1,8,1,14,1,16,3,14,5,3,4,4,1,19,2,4,3,3,2,16,3,3,5,18,3,3,3,18,1,9,1,10,1,18,1,3,1,16,1,3,1,16,7,3,1,9,1,18,1,3,1,16,32,3,1,4,74,18,1,3,1,16,4,3,1,18,1,3,2,16,15,3,2,18,2,3,2,16,4,3,3,16,30,3,1,4,2,3,1,16,5,3,1,4,41,19,2,4,16,18,1,3,1,16,433,3,2,16,16,3,2,16,12,3,1,19,1,4,123,10,2,18,1,8,2,10,3,8,1,15,1,8,3,10,1,4,4,19,6,4,7,18,3,10,8,8,1,18,1,8,8,10,1,8,7,18,2,8,7,15,1,8,17,18,3,8,7,15,1,14,1,3,1,15,1,10,3,8,1,3,1,16,2,3,2,18,1,4,332,19,4,4,4,10,6,8,3,10,8,},
{4,63,19,3,4,414,19,5,4,7,19,6,4,2,18,5,3,3,18,1,4,81,3,4,14,3,17,1,16,2,17,1,14,2,7,3,15,3,8,15,10,2,8,5,18,3,8,4,10,6,18,2,4,2,19,9,4,18,10,2,18,7,8,1,10,8,8,5,18,4,15,1,18,2,8,2,10,3,8,6,18,2,8,8,18,5,8,4,18,5,8,15,15,14,8,50,18,7,8,12,10,4,8,4,10,18,8,1,18,3,9,2,18,6,4,440,19,1,4,3,18,1,3,1,16,3,3,5,18,3,14,5,18,1,15,1,14,2,3,1,14,12,16,4,17,1,14,2,17,1,16,8,3,1,4,39,18,1,3,2,18,1,4,56,3,1,16,5,3,1,4,27,18,1,3,5,4,3,3,3,4,36,19,1,3,2,4,8,9,1,18,1,3,4,18,1,4,1,18,2,4,2,3,11,18,1,4,43,19,3,4,1,3,5,14,2,8,1,15,1,17,1,16,1,14,2,17,1,16,3,3,1,16,2,3,1,4,8,3,2,16,3,3,2,18,3,3,4,18,1,9,1,10,1,18,1,3,4,16,7,3,1,18,2,3,1,16,30,3,1,4,76,3,1,16,3,3,1,18,1,4,1,18,1,3,3,16,3,3,2,16,2,3,4,16,1,3,1,18,1,4,4,3,2,16,3,3,3,16,30,3,1,4,2,3,2,16,4,3,1,19,1,4,59,3,1,16,465,3,2,18,1,4,125,18,1,10,5,8,4,18,1,4,3,19,7,4,11,10,6,8,1,18,1,15,1,18,1,8,6,10,2,8,23,10,4,8,17,15,2,18,1,9,1,10,1,9,1,18,1,3,4,18,1,4,7,19,3,4,324,19,3,4,3,18,1,10,7,8,3,10,5,8,3,},
{4,64,19,1,4,414,19,7,4,6,19,6,4,2,18,5,3,4,18,1,4,80,18,1,3,2,14,4,17,1,16,2,17,1,14,7,15,1,8,16,10,1,8,3,18,6,8,4,10,1,8,5,18,1,4,3,19,9,4,16,10,3,18,6,8,1,10,8,8,4,18,5,15,4,18,1,8,2,10,3,8,4,18,3,8,18,18,6,8,3,10,2,9,1,8,2,18,1,8,5,15,14,8,49,18,8,8,11,10,3,8,6,10,17,9,1,18,3,10,2,18,2,10,2,9,1,18,1,4,6,18,1,4,429,19,5,4,2,18,1,3,8,18,4,14,6,15,2,14,10,3,1,14,3,3,1,14,2,15,1,14,3,17,3,14,1,16,6,3,1,4,22,19,1,4,76,3,1,16,6,19,1,4,28,18,3,4,2,19,1,4,2,18,2,4,46,18,2,14,1,16,4,3,4,18,1,3,2,16,10,3,1,4,43,19,3,18,1,3,6,14,1,8,2,7,3,14,1,16,7,3,1,4,9,18,1,3,1,16,2,3,1,18,3,3,5,18,1,9,1,18,3,3,4,16,7,3,1,18,2,3,1,16,16,3,2,16,10,3,1,4,77,18,1,3,3,18,1,4,3,18,1,3,5,4,2,3,3,18,3,3,1,18,1,4,5,3,1,16,37,3,1,4,3,3,3,16,2,3,2,4,59,3,2,16,457,3,1,16,6,3,3,4,126,10,6,8,1,18,3,4,2,19,8,4,12,18,2,10,2,8,1,18,1,15,2,18,1,8,6,10,4,8,5,10,3,8,4,10,1,8,8,10,3,8,11,10,1,8,5,15,2,8,1,10,3,18,1,3,1,16,2,3,1,10,1,4,7,19,5,4,323,19,4,4,1,18,3,10,2,8,2,10,2,8,3,10,5,8,3,},
{4,479,19,7,4,6,19,6,4,2,18,5,3,4,18,1,4,80,18,1,3,1,14,6,16,2,17,1,14,7,15,1,8,31,10,2,8,2,18,2,4,5,19,7,4,16,10,3,18,6,8,2,10,6,8,6,18,5,15,2,14,1,15,1,18,1,8,6,18,5,15,1,18,1,8,18,18,5,8,3,10,2,8,8,15,15,8,49,18,7,8,11,10,3,8,6,10,18,18,2,10,8,18,1,4,437,19,3,4,2,3,4,18,1,4,2,18,6,15,1,14,2,15,2,14,10,3,4,14,3,3,2,14,2,15,1,14,3,17,1,16,1,17,1,14,2,16,5,3,1,18,1,4,19,3,4,4,75,3,2,16,1,3,1,16,3,3,1,4,31,19,4,4,48,18,1,3,1,18,1,3,1,16,5,14,3,18,1,14,1,3,1,16,4,3,2,16,5,3,2,4,41,19,3,4,1,3,2,16,2,3,2,14,1,7,1,8,4,7,1,16,7,3,1,18,1,4,4,18,2,4,3,3,1,16,2,3,2,18,1,3,3,18,3,10,1,9,1,3,8,16,7,18,1,10,1,18,1,3,1,16,22,3,1,16,3,3,1,4,95,18,1,4,10,18,1,3,1,16,37,3,1,19,1,4,3,19,1,3,5,4,60,18,1,3,3,16,451,3,5,16,7,3,1,4,119,19,5,4,2,10,7,18,3,4,2,19,7,4,5,19,4,4,4,18,1,10,3,8,1,15,2,8,7,10,6,8,4,10,3,8,27,10,1,8,3,10,2,8,1,15,1,8,2,10,1,8,1,3,1,16,3,3,1,10,1,4,6,19,6,4,323,19,4,4,1,18,3,10,2,8,2,10,3,8,2,10,5,8,3,},
{4,479,19,7,4,7,19,5,4,2,18,5,3,3,18,1,4,81,18,4,15,2,14,2,17,1,16,1,17,1,14,7,15,1,8,21,10,4,8,3,18,2,8,1,10,2,8,3,18,2,4,5,19,6,4,16,10,3,18,6,8,2,10,3,8,11,18,5,15,2,18,4,8,3,18,3,8,2,15,1,18,1,8,1,10,1,8,8,10,1,8,2,10,3,8,5,18,2,8,12,15,17,8,48,18,5,8,21,10,2,8,3,10,20,9,1,18,1,9,1,10,2,4,436,19,4,18,1,3,1,16,2,3,1,4,5,18,4,14,3,15,1,18,1,15,1,14,9,3,2,16,1,3,2,14,1,15,1,14,9,17,1,16,2,14,2,16,1,3,6,18,1,4,18,3,1,16,2,3,1,4,75,3,2,16,1,3,2,16,2,3,1,18,1,4,28,19,6,4,47,18,1,3,2,18,1,3,1,16,5,7,2,8,3,7,1,16,3,14,1,15,1,14,2,3,1,16,4,3,1,4,42,19,1,4,3,3,5,15,1,7,2,8,3,7,1,17,1,16,6,3,2,4,4,3,3,4,2,18,1,3,3,18,2,3,2,18,1,10,1,9,3,18,1,3,1,16,1,3,7,16,6,3,1,18,3,3,3,16,13,3,2,16,3,3,5,18,1,4,105,18,1,3,1,16,38,3,2,4,5,3,3,19,1,4,62,18,1,3,2,16,451,3,2,4,2,3,3,16,3,3,2,4,118,19,6,4,2,10,7,18,3,4,2,19,7,4,4,19,5,4,5,10,2,8,1,15,2,8,8,10,3,8,9,10,1,8,20,10,1,8,10,10,2,8,1,15,1,8,2,10,1,8,1,18,1,3,3,18,1,4,6,19,7,4,323,19,4,4,2,18,2,8,1,10,16,},
{4,479,19,7,4,8,19,4,4,2,18,4,3,3,18,2,4,81,18,4,15,2,14,2,17,2,14,8,15,1,8,20,10,6,8,3,18,1,8,1,10,2,8,3,18,3,4,4,19,6,4,16,10,3,8,1,18,4,8,4,10,1,8,2,18,2,8,17,18,2,8,4,18,1,8,3,18,2,8,1,10,1,8,12,10,2,8,2,9,1,8,14,15,19,8,49,18,3,8,21,10,3,8,7,10,7,8,1,10,8,18,3,10,3,18,5,4,430,19,3,3,4,18,1,4,5,18,5,14,3,15,1,18,2,15,1,14,8,3,4,14,1,15,3,14,8,17,1,16,2,17,2,16,1,3,1,18,1,4,1,3,4,4,18,3,4,19,1,4,74,3,2,16,1,3,2,16,2,3,2,4,28,19,6,4,46,18,1,3,3,18,1,3,2,16,3,14,1,8,3,10,2,8,1,14,1,16,2,14,1,15,1,14,1,3,5,16,1,3,1,4,48,3,2,18,2,15,1,7,1,8,2,7,2,17,1,16,6,3,2,18,1,4,3,18,1,3,4,18,3,9,1,10,1,9,1,18,2,10,2,9,1,18,1,3,6,14,1,3,5,16,6,3,2,18,2,4,1,18,1,3,1,16,7,3,1,16,3,3,6,18,1,4,108,18,2,3,2,16,24,3,5,16,9,3,3,4,71,3,2,16,452,3,1,4,5,18,1,3,3,4,119,19,5,4,4,18,2,8,1,10,2,8,1,18,2,4,3,19,4,4,7,19,5,4,5,10,2,8,13,10,1,8,3,10,3,8,4,10,1,8,18,10,3,8,15,10,2,4,9,19,9,4,323,19,4,4,3,18,2,10,16,},
{4,479,19,7,4,8,19,4,4,2,18,3,14,1,3,2,18,2,4,82,18,4,15,2,14,12,15,1,8,20,10,5,8,6,10,2,8,5,18,1,4,5,19,5,4,16,10,3,8,11,18,1,14,2,15,2,18,1,8,9,10,2,8,3,18,2,8,3,18,2,8,1,10,2,8,21,10,3,9,1,8,10,15,18,8,72,10,4,8,10,10,5,8,1,10,6,9,2,18,3,9,1,10,2,18,6,4,429,19,2,3,1,16,2,3,1,18,1,4,6,18,5,14,3,15,4,14,6,3,4,18,2,9,1,18,1,14,1,15,2,14,5,7,1,14,1,17,1,16,5,3,1,4,3,18,1,3,2,4,97,18,1,3,1,16,1,3,6,4,28,19,3,4,1,19,2,4,46,3,8,17,1,14,1,8,2,14,1,15,1,8,1,10,1,8,1,15,1,14,2,15,1,14,1,3,3,18,5,4,19,18,2,4,7,18,1,4,21,18,2,15,1,7,1,8,1,7,2,17,1,16,6,3,4,4,4,3,2,16,2,18,1,10,5,9,1,10,3,9,1,3,7,18,1,14,1,3,8,16,4,3,1,18,1,4,2,18,1,3,9,16,2,3,1,4,3,18,1,3,1,4,108,18,2,4,1,18,1,3,1,16,23,3,4,4,1,3,2,16,4,3,6,18,1,4,71,18,1,3,1,16,452,3,1,4,7,18,1,4,120,19,5,4,4,18,1,3,1,18,1,8,2,15,1,18,2,4,3,19,4,4,7,19,4,4,7,10,1,8,15,10,5,8,2,18,1,8,4,10,1,8,6,10,2,8,6,10,3,8,17,10,1,4,6,19,1,4,1,19,9,4,325,19,3,4,3,18,1,8,1,10,4,8,2,10,2,8,3,10,5,},
{4,479,19,6,4,7,19,6,4,2,18,3,3,2,18,2,4,83,10,1,18,2,15,3,7,1,14,10,15,1,18,1,8,37,10,3,18,1,4,3,19,5,4,16,10,3,8,11,14,5,15,1,18,2,8,2,18,2,8,2,10,4,8,6,18,1,14,2,18,1,8,1,10,1,8,21,10,4,8,9,18,1,15,15,8,74,10,5,8,10,10,8,18,7,3,1,18,1,9,1,10,2,8,1,18,5,4,411,19,3,4,4,3,10,18,1,4,1,18,1,3,1,16,1,3,1,18,1,4,6,18,1,9,1,18,1,15,1,18,1,15,1,14,3,15,1,18,1,15,1,14,2,3,1,14,4,3,3,18,1,4,3,3,2,14,2,15,1,14,3,15,2,14,1,17,1,16,5,3,1,18,1,4,103,3,1,16,3,3,4,4,79,19,1,3,1,16,1,3,5,14,2,15,1,8,1,14,1,16,1,3,1,15,1,8,3,15,1,14,1,15,1,14,1,16,3,18,1,4,27,18,5,3,1,18,1,4,17,19,3,18,1,3,1,14,2,8,1,7,1,17,1,16,7,14,2,3,2,18,1,4,3,18,1,3,1,16,1,3,1,18,1,10,3,9,1,18,2,10,3,18,1,3,7,18,2,3,1,16,1,3,2,14,3,16,5,3,3,4,7,18,1,3,5,19,2,4,2,18,2,4,107,18,1,3,1,18,1,4,2,18,1,3,1,16,22,3,2,19,1,4,3,3,1,16,4,3,4,18,1,4,71,19,1,4,1,19,1,3,2,16,439,3,2,16,3,3,1,16,7,3,1,4,127,19,6,4,3,18,1,3,1,18,3,14,1,18,1,4,4,19,4,4,8,19,4,4,6,10,2,8,15,10,5,8,1,18,1,8,3,10,4,8,4,10,10,8,8,10,3,8,2,10,3,8,1,18,2,4,6,19,6,4,336,10,6,8,8,10,4,},
{4,481,19,3,4,8,19,5,4,3,18,5,4,83,18,1,10,2,18,2,14,1,15,2,7,4,15,4,14,2,15,1,18,2,8,1,18,3,8,26,10,1,8,5,10,4,18,1,4,4,19,3,4,17,10,3,8,3,10,4,8,4,18,1,14,3,15,2,18,8,8,6,18,2,8,1,18,1,15,1,14,2,15,1,8,1,10,2,8,11,18,3,8,6,10,4,8,6,18,2,15,1,18,1,8,6,15,9,8,31,15,1,8,37,10,2,8,1,10,5,8,13,10,4,9,1,8,1,10,1,18,9,9,1,10,2,8,1,18,7,4,409,19,5,4,1,3,1,16,10,3,5,14,1,18,2,4,2,18,3,9,1,8,1,18,1,15,1,14,4,15,1,18,1,15,1,14,2,3,3,14,2,18,1,3,3,4,4,3,1,16,1,3,1,14,1,15,4,8,1,15,1,14,2,16,6,3,1,4,103,3,1,16,3,3,4,4,79,19,1,3,1,16,1,3,5,15,4,14,1,16,2,14,1,8,4,15,1,14,1,16,4,3,1,4,27,18,5,3,1,18,1,4,16,19,4,18,1,3,3,14,2,16,7,14,1,15,2,3,3,18,1,4,2,10,1,3,3,18,1,10,3,18,1,3,1,18,4,14,1,3,7,18,1,15,1,3,1,16,1,3,1,14,4,16,4,3,4,18,1,4,7,18,1,3,3,19,3,4,1,18,2,3,1,18,1,4,96,19,1,3,1,18,1,4,6,18,1,3,3,4,2,18,1,3,1,16,22,3,1,18,1,4,4,3,1,16,4,3,2,18,2,4,76,19,1,3,1,16,438,3,2,16,12,3,1,18,1,4,3,19,2,4,124,19,1,4,4,18,7,4,4,19,4,4,18,10,1,8,12,18,4,10,5,8,6,10,4,8,3,10,10,8,7,10,4,8,2,10,3,8,1,18,3,4,2,19,1,4,1,19,7,4,337,10,5,8,9,10,3,},
{4,492,19,5,4,2,9,2,18,3,4,3,19,3,4,73,10,2,9,4,10,2,8,1,18,1,14,1,15,2,7,3,15,7,18,6,8,15,18,3,8,9,10,2,8,5,10,2,4,26,10,2,9,1,18,1,8,2,10,3,8,5,18,1,15,1,18,2,8,4,18,3,15,1,18,4,8,2,18,1,15,1,14,2,15,5,18,1,8,1,10,1,8,12,18,2,8,17,18,1,15,2,8,8,15,8,8,30,15,2,18,2,8,35,10,7,8,2,18,1,8,12,10,3,8,2,10,1,18,9,10,3,8,1,18,9,4,407,19,4,4,1,3,2,16,10,3,4,18,1,3,4,18,6,8,1,18,1,14,1,3,1,14,2,18,3,14,2,3,4,14,1,3,4,4,3,18,1,3,1,16,1,3,1,14,1,15,1,8,2,15,3,14,2,16,2,3,2,16,2,3,2,4,102,3,1,16,3,3,4,4,80,3,1,16,3,3,3,14,4,16,3,3,1,18,2,8,3,14,1,16,4,3,1,4,28,18,6,4,16,19,4,18,1,16,4,17,1,16,6,14,2,15,2,14,2,3,2,18,3,3,4,18,1,10,1,18,1,3,4,14,2,3,4,14,2,3,2,14,2,3,2,14,3,3,2,16,2,3,2,18,1,4,2,18,1,3,4,18,1,4,4,3,2,4,3,19,1,3,9,4,92,18,2,4,7,18,1,3,6,16,15,3,3,16,5,3,1,18,1,4,4,3,1,16,5,3,4,4,76,3,2,16,452,3,4,16,1,3,2,4,131,10,1,8,2,18,1,4,4,19,4,4,18,18,1,8,13,18,5,8,1,10,4,8,4,10,4,8,4,10,10,8,6,10,4,8,2,10,2,8,2,18,3,4,2,19,9,4,333,19,3,4,2,10,4,8,12,},
{4,492,19,4,4,2,9,1,8,2,18,2,4,3,19,4,4,70,18,1,10,2,8,2,10,7,18,1,14,1,15,2,7,2,8,6,15,2,8,2,18,1,15,1,18,3,8,11,18,5,8,11,10,6,18,2,4,26,10,2,9,1,8,4,10,2,8,5,18,2,8,7,18,2,15,1,14,3,15,1,18,2,15,1,14,4,15,1,18,1,8,37,18,2,8,8,15,8,8,29,15,3,18,1,8,36,10,6,8,3,18,2,8,1,10,2,8,13,10,1,18,3,10,2,18,2,8,1,10,3,9,1,18,4,9,1,18,5,4,408,19,3,18,1,3,1,16,3,3,4,16,3,3,4,18,2,14,1,3,3,18,1,8,2,18,1,15,1,18,1,8,1,18,1,14,4,15,2,14,3,3,8,18,1,4,2,18,1,3,1,16,2,3,1,14,1,8,1,9,1,8,1,15,3,14,2,16,2,14,1,3,3,16,1,3,1,4,102,3,1,16,3,3,5,4,79,18,1,3,2,16,1,3,10,18,1,4,2,18,2,15,1,3,1,16,5,18,1,4,22,18,1,4,4,18,2,9,1,18,3,4,17,19,3,3,1,16,10,14,3,3,1,14,1,18,1,15,1,3,4,14,1,3,5,18,1,3,11,14,1,15,1,14,1,3,4,14,1,15,2,14,1,3,1,16,2,14,1,18,1,4,5,3,1,16,3,3,7,4,2,3,2,16,8,3,1,18,1,4,94,19,2,4,3,18,1,3,3,16,19,3,1,18,3,3,2,16,3,3,1,4,4,18,1,3,1,16,4,3,1,18,1,3,2,19,1,4,75,3,3,16,451,3,2,16,4,3,1,4,131,10,1,8,1,9,2,18,1,4,3,19,4,4,18,18,1,15,1,8,7,10,5,18,7,10,4,8,3,10,4,8,1,18,1,8,3,10,10,8,13,18,5,4,2,19,9,4,332,19,5,4,1,10,4,8,5,10,1,8,6,},
{4,492,19,3,4,2,18,1,8,3,18,2,4,2,19,5,4,70,18,2,10,3,18,3,10,4,8,1,14,1,15,1,8,1,7,2,8,6,15,2,8,1,18,2,14,1,18,2,8,12,18,4,8,12,10,6,4,5,19,3,4,20,10,2,18,2,8,13,10,5,8,2,18,2,14,4,15,2,14,5,18,1,8,2,10,2,8,20,10,2,8,3,18,1,15,4,18,1,8,13,18,1,15,7,8,6,15,1,8,22,15,3,8,37,10,6,8,2,18,3,8,2,10,1,8,1,10,1,8,11,10,2,18,1,10,3,18,2,10,3,8,2,18,6,4,1,18,2,4,410,18,1,3,6,14,2,3,2,16,2,3,1,14,5,15,4,18,1,15,4,18,1,15,6,14,7,3,4,16,1,3,1,18,1,4,3,3,1,16,2,3,2,14,1,8,1,9,1,15,4,14,2,16,2,14,1,18,1,3,4,4,10,3,8,18,1,4,83,18,1,3,1,16,2,3,5,18,1,4,80,3,9,18,3,4,4,18,1,3,2,16,5,3,1,4,21,18,2,4,3,18,2,9,1,10,1,9,1,18,2,4,20,3,2,16,3,3,6,14,2,3,3,15,2,14,6,3,8,16,1,3,3,14,2,3,4,14,1,3,1,16,2,3,1,14,1,8,2,14,1,3,1,16,2,3,1,18,1,4,5,3,1,16,9,3,1,18,1,3,2,16,9,3,1,4,92,19,5,4,3,18,1,3,3,16,18,3,1,4,2,19,2,4,1,3,1,16,3,3,1,4,4,19,1,3,2,16,2,3,1,19,1,4,2,19,1,3,1,19,1,4,74,3,5,16,455,3,1,4,125,19,4,4,2,18,5,4,3,19,4,4,18,18,1,15,2,8,5,10,2,4,6,18,5,10,4,8,3,10,4,8,10,10,6,8,8,10,2,8,1,18,3,4,5,19,5,4,336,19,5,4,1,18,1,10,4,8,4,10,2,8,5,},
{4,492,19,2,4,3,18,1,8,1,18,4,4,1,19,5,4,71,18,9,10,3,8,1,7,1,8,2,7,1,8,7,15,2,18,3,14,1,18,2,8,13,18,1,8,15,10,5,4,3,19,5,4,20,10,9,8,3,18,1,8,3,10,6,8,2,18,2,14,10,15,1,18,1,8,2,10,1,8,16,10,2,8,8,18,1,15,4,18,1,8,12,18,1,15,11,8,28,15,1,8,37,10,4,8,10,10,3,8,10,10,1,18,1,10,5,8,1,10,3,8,2,18,5,4,413,3,2,16,3,3,2,15,1,18,1,15,1,14,5,15,3,14,3,15,1,8,1,9,1,8,1,15,3,8,2,15,1,14,2,15,1,8,1,15,1,14,3,3,2,15,1,18,1,3,5,18,1,4,4,3,1,16,2,3,3,18,1,15,5,14,1,3,1,16,2,3,5,4,11,3,1,16,4,3,6,18,1,4,80,18,1,3,1,16,2,3,4,16,1,3,1,4,81,18,5,3,2,19,1,4,8,18,1,3,2,16,3,3,1,18,1,4,21,18,2,4,3,18,3,9,3,18,1,4,20,18,1,3,1,16,2,3,4,16,2,3,3,16,2,3,1,14,3,17,3,7,1,14,1,3,7,16,3,3,2,14,1,3,5,14,1,3,1,16,3,14,1,15,1,14,2,16,4,3,1,4,4,18,1,3,1,16,9,3,3,16,10,3,1,4,92,19,5,4,2,18,1,3,4,16,18,3,1,4,2,19,3,4,1,19,1,3,3,4,5,19,1,18,1,3,3,4,81,19,3,18,2,3,2,16,444,3,2,16,5,3,2,4,124,19,5,4,2,18,4,4,4,19,4,4,18,18,1,15,2,8,2,10,1,8,2,10,2,4,7,10,15,8,2,10,2,8,1,18,3,8,3,10,5,8,8,10,3,18,2,4,6,19,4,4,337,19,5,4,1,18,1,10,5,8,10,},
{4,489,19,5,4,2,18,1,8,1,18,1,15,2,18,2,4,1,19,5,4,70,18,1,3,3,18,6,10,2,8,5,7,1,8,6,15,1,14,2,15,1,18,1,14,2,18,2,8,26,10,2,18,3,4,5,19,6,4,20,10,9,8,2,18,3,8,2,10,5,8,2,18,4,14,7,15,1,18,1,15,1,18,1,8,4,15,2,8,13,10,2,8,10,18,1,15,2,18,1,8,6,18,1,8,5,15,11,8,59,18,3,8,6,10,2,8,11,10,4,8,3,10,5,8,1,18,2,10,10,18,3,4,1,18,1,4,412,3,2,16,4,3,2,14,2,15,1,14,8,15,2,14,1,15,1,8,3,15,1,14,2,8,3,15,1,14,2,15,2,14,4,3,2,15,1,18,1,3,3,18,2,4,4,3,2,16,3,3,4,14,1,15,3,14,1,16,4,3,3,4,12,16,4,3,9,4,79,18,1,3,1,16,3,3,3,16,1,3,1,18,1,4,85,18,1,4,11,18,1,3,4,18,1,4,22,18,2,4,4,18,3,4,24,18,1,3,2,18,2,3,1,16,3,3,2,16,3,3,1,16,4,17,1,6,2,14,1,3,16,14,2,15,1,3,1,16,11,3,1,18,2,3,4,16,9,3,1,18,1,3,1,16,9,3,1,19,1,4,2,19,1,4,4,3,3,4,85,19,2,4,1,18,1,3,9,16,15,3,1,18,1,4,2,19,3,4,1,19,1,4,95,19,2,4,1,18,1,16,437,3,2,16,4,3,5,16,3,3,2,4,123,19,6,4,1,18,4,4,4,19,5,4,18,9,1,8,3,10,5,4,13,10,7,18,1,10,2,18,2,10,2,18,3,8,16,10,4,4,4,19,5,4,340,19,5,4,2,18,1,10,4,8,10,},
{4,488,19,5,4,3,18,1,8,1,18,1,15,2,18,2,4,1,19,5,4,69,18,1,3,4,18,7,8,13,15,1,14,5,18,2,8,26,10,2,4,9,19,6,4,20,10,9,8,1,18,3,8,3,10,5,8,2,18,6,15,1,14,3,15,5,18,1,8,2,18,1,14,1,15,1,8,26,18,1,8,7,15,2,8,4,18,1,15,9,8,83,10,12,8,1,18,2,10,6,8,2,10,2,18,2,4,414,18,1,3,1,16,5,3,3,14,10,15,2,14,2,15,3,14,3,15,1,8,1,15,1,14,9,3,2,14,1,3,2,18,1,4,6,3,1,16,5,3,4,14,1,18,3,3,1,16,4,3,2,18,1,4,12,3,1,16,2,3,7,16,2,3,1,4,80,3,1,16,4,3,5,4,100,18,1,4,30,18,2,4,26,18,2,4,2,3,1,16,4,3,1,16,2,3,1,16,6,17,2,3,4,14,1,3,15,16,13,3,3,16,12,3,3,16,8,3,2,4,2,19,4,4,1,3,1,16,3,3,1,4,88,18,1,3,2,18,3,3,3,16,16,3,3,19,3,4,97,19,2,4,2,3,1,16,441,3,3,18,1,3,2,16,2,3,2,18,1,4,124,19,5,4,1,18,3,4,5,19,5,4,18,10,1,8,3,18,1,4,32,18,1,8,10,18,1,4,7,18,1,4,5,19,6,4,340,19,5,4,3,18,1,10,2,8,11,},
{4,488,19,5,4,2,18,2,8,3,18,3,4,2,19,3,4,61,19,6,4,2,18,2,3,2,14,1,18,1,8,1,18,4,14,2,18,1,8,5,18,1,8,6,18,1,14,2,3,1,14,1,18,2,8,7,18,1,15,2,8,7,18,2,8,5,18,2,8,1,10,1,4,10,19,5,4,21,18,1,10,7,18,4,8,8,10,3,8,3,18,4,15,2,8,1,18,1,14,3,15,1,18,1,8,1,18,2,8,6,10,1,8,2,18,1,8,4,18,2,8,11,15,1,8,8,15,2,8,4,15,2,14,1,15,7,8,14,15,1,8,14,18,4,8,50,10,7,8,3,10,2,8,1,18,3,8,2,10,3,8,1,9,3,8,1,18,1,4,414,18,1,3,1,16,4,3,2,14,2,3,2,14,12,3,2,14,3,15,3,14,2,15,1,8,1,15,2,14,2,3,7,18,1,19,3,4,2,18,1,3,1,16,6,3,3,18,4,3,4,16,1,3,1,18,1,4,14,19,1,3,10,19,1,4,81,3,2,16,2,3,5,18,1,4,156,19,2,4,2,19,1,4,1,18,1,16,17,3,2,14,2,3,1,16,2,3,2,14,1,18,2,3,7,16,4,3,1,16,20,3,2,16,2,3,1,16,8,3,2,4,1,19,6,4,1,3,1,16,3,3,2,4,93,18,1,3,1,16,20,3,3,19,1,4,100,19,1,3,4,16,4,3,2,16,429,3,8,16,1,3,2,19,1,4,125,19,5,4,9,19,5,4,18,10,2,9,1,18,1,4,2,19,3,4,24,19,3,4,2,18,1,8,7,10,2,4,15,19,4,4,342,19,4,4,3,18,1,8,13,},
{4,489,19,4,4,1,18,3,8,4,18,2,4,3,19,1,4,61,19,8,4,1,18,2,14,3,8,2,18,1,8,3,14,2,8,8,18,1,8,3,18,2,14,1,3,3,18,1,8,7,18,2,15,2,8,7,18,2,8,4,18,3,9,1,10,1,4,12,19,1,4,23,18,1,10,7,18,4,10,5,8,3,10,5,8,5,18,2,8,1,18,1,14,4,18,1,8,1,18,1,8,10,18,1,8,4,18,2,8,10,15,2,8,7,15,3,8,4,15,9,8,15,15,1,8,9,18,1,8,4,18,3,8,53,10,4,8,5,10,1,8,2,18,1,8,4,10,4,9,2,8,1,18,2,4,413,18,1,3,1,16,5,3,3,16,3,14,3,17,1,16,3,3,7,14,7,15,3,14,5,18,1,3,4,4,1,19,3,4,1,18,1,3,1,16,8,3,1,18,1,4,3,18,2,3,4,18,1,4,17,19,1,18,1,3,3,18,1,3,3,4,82,18,1,3,8,4,157,19,5,4,1,18,1,16,16,3,1,14,3,17,1,16,2,3,1,14,2,15,1,14,1,3,5,16,7,3,1,16,19,3,3,16,11,3,1,18,1,4,1,19,6,3,1,16,6,3,1,4,93,3,1,16,4,3,2,16,17,3,2,19,1,4,100,19,2,3,10,16,427,3,4,16,4,3,2,4,163,18,3,4,2,19,5,4,23,19,3,4,2,18,1,8,2,10,1,8,4,10,2,4,362,19,4,4,2,18,2,8,12,},
{4,489,19,3,4,2,18,2,15,1,7,3,8,1,18,2,4,64,19,9,18,1,8,2,18,1,15,1,18,1,8,4,10,2,8,11,18,4,14,3,3,1,14,1,18,1,8,25,18,1,10,3,4,36,18,1,10,3,18,1,10,20,8,5,15,1,14,1,15,2,14,3,15,1,18,1,8,7,18,2,8,2,18,2,8,16,15,1,8,14,15,11,8,28,18,5,15,1,8,52,10,3,8,12,10,6,9,1,18,4,4,412,3,2,16,13,17,2,16,7,3,4,14,11,15,1,14,1,18,3,3,1,18,1,4,2,19,4,18,1,3,3,16,2,3,1,16,2,3,2,18,1,4,29,19,1,3,2,18,2,3,3,18,1,4,81,18,1,3,6,4,132,18,2,4,24,19,4,4,1,18,1,3,1,16,3,3,8,14,2,3,1,16,1,3,2,14,2,16,2,3,1,14,2,15,2,14,1,3,1,16,13,3,5,16,29,3,1,18,2,3,6,16,6,3,1,19,1,4,93,3,6,16,19,3,3,19,1,4,100,19,3,4,6,3,3,16,425,3,2,16,5,3,2,19,1,4,156,19,4,4,1,18,3,4,3,19,5,4,23,19,4,4,1,18,1,8,2,10,7,4,362,19,4,4,3,18,1,8,3,10,1,8,8,},
{4,489,19,3,4,2,18,2,14,3,7,1,18,1,8,1,18,1,4,63,19,9,4,1,18,2,8,4,18,2,8,2,10,4,8,2,18,2,8,6,18,2,14,5,18,1,8,23,18,1,8,2,10,4,4,36,10,2,18,3,9,1,10,15,8,9,15,1,14,2,15,1,18,1,8,1,18,3,8,3,18,2,8,2,18,2,8,9,10,2,8,23,15,7,8,2,15,2,8,30,18,3,8,24,18,1,8,44,10,6,9,1,18,2,3,1,18,2,4,411,3,2,16,19,3,3,14,2,3,2,14,7,3,1,16,1,3,1,14,3,18,2,3,2,18,1,4,1,19,5,18,1,3,5,16,4,3,1,4,37,3,1,19,1,4,83,3,3,16,1,3,1,19,1,4,125,18,1,3,2,18,1,4,4,18,1,4,24,19,3,4,1,18,1,3,1,16,1,3,4,16,2,3,4,14,2,3,1,16,1,3,2,14,1,3,1,16,2,14,1,15,1,8,1,18,1,15,1,3,1,16,15,3,3,16,30,3,3,16,13,3,1,4,94,18,2,4,3,3,1,16,7,3,15,4,111,3,3,16,404,3,2,16,17,3,2,16,4,3,3,19,1,4,156,19,4,4,2,18,2,4,1,19,6,4,24,19,4,4,2,18,1,8,2,10,5,18,1,4,362,19,5,4,2,18,2,8,1,10,2,8,5,10,3,},
{4,494,18,2,15,1,14,3,18,3,4,63,19,7,4,3,18,1,14,1,18,1,8,2,18,1,14,1,15,1,18,1,10,6,8,8,18,3,14,2,18,3,8,6,18,1,8,1,18,1,8,14,18,3,8,1,10,4,4,27,19,5,4,4,10,2,18,3,10,14,8,11,18,2,14,1,15,1,8,4,18,1,8,3,18,2,8,3,10,5,8,4,10,2,8,2,18,2,8,17,15,8,8,11,15,2,8,25,18,1,8,23,18,2,8,29,10,3,8,6,10,4,8,4,10,4,9,1,8,1,18,2,3,2,4,2,19,4,4,405,3,2,16,18,8,1,10,1,18,1,15,2,14,5,3,1,16,2,3,3,16,2,3,4,18,1,3,3,4,2,19,3,4,1,18,1,3,5,16,4,3,1,4,16,19,5,4,58,3,2,4,41,19,1,18,1,3,2,16,1,3,4,4,121,19,1,3,1,16,2,3,2,4,27,18,1,19,4,4,1,3,1,16,1,3,3,16,7,3,2,16,2,3,4,16,1,3,1,14,1,18,2,14,1,3,2,16,15,3,2,16,19,3,2,16,27,3,1,4,98,3,8,19,1,4,125,3,3,16,399,3,1,16,3,3,3,16,17,3,1,18,1,3,2,16,1,3,4,19,1,4,156,19,4,4,2,18,2,4,1,19,6,4,24,19,5,4,1,18,1,8,6,18,1,4,364,19,4,4,2,18,2,8,1,10,2,8,8,},
{4,494,18,3,14,3,18,2,10,1,4,63,19,5,4,3,18,2,14,2,18,1,8,1,18,2,14,1,18,1,8,1,10,6,8,8,18,7,8,5,18,5,8,14,18,3,8,1,10,4,4,26,19,6,4,4,10,1,18,3,10,7,8,10,18,4,8,3,18,1,8,3,18,1,8,1,10,3,8,2,18,1,8,2,18,2,8,2,10,6,8,4,10,2,8,2,18,2,8,17,15,2,14,3,15,3,8,10,15,4,8,23,18,1,8,54,10,5,8,4,10,6,8,4,10,4,9,2,18,2,3,1,4,1,19,6,4,404,3,2,16,3,3,6,16,7,3,1,14,1,8,1,9,1,18,2,15,1,14,3,15,1,14,1,3,1,16,2,3,9,18,2,3,2,4,3,19,2,4,2,18,2,3,3,16,3,3,2,4,16,19,5,4,58,3,2,4,44,3,2,16,3,3,1,4,81,3,2,18,1,4,37,19,1,3,1,16,3,3,1,18,1,4,24,18,1,3,3,4,1,19,1,4,2,3,5,16,12,3,11,16,6,3,2,16,7,3,1,16,8,3,1,16,11,3,2,16,27,3,1,4,99,3,1,18,2,4,131,3,7,16,393,3,3,16,2,3,4,16,16,3,7,4,159,19,5,4,1,18,2,4,1,19,6,4,25,19,3,4,2,10,2,8,5,18,1,4,364,19,4,4,3,18,1,10,3,8,6,10,2,},
{4,494,18,1,8,1,18,1,14,2,15,1,18,1,8,1,10,1,4,3,19,2,4,55,19,5,4,5,18,3,14,1,15,1,8,2,18,1,15,1,18,1,8,1,10,11,8,5,18,2,8,9,18,3,15,2,18,1,8,5,18,1,8,6,18,4,8,1,9,1,10,3,4,25,19,7,4,3,10,1,18,3,10,8,8,3,18,1,8,3,10,1,8,11,10,1,8,3,10,3,8,2,18,1,8,6,10,3,8,1,10,1,8,2,18,2,8,1,10,2,8,15,15,3,8,3,15,2,14,3,15,2,8,12,15,2,8,74,10,1,8,4,10,6,8,2,10,7,8,7,9,2,10,2,18,2,4,1,19,6,4,404,3,1,16,3,3,2,4,4,18,1,3,1,16,5,14,1,18,2,3,1,16,1,3,2,14,2,3,2,14,2,3,1,16,2,3,1,18,2,3,5,18,1,4,8,19,2,4,2,18,2,3,3,16,2,3,1,4,18,19,4,4,53,19,4,4,48,18,1,3,1,16,2,3,1,18,1,4,80,3,3,4,38,19,1,3,1,16,2,3,1,18,1,4,21,3,7,18,2,3,9,16,11,3,3,16,5,3,5,16,3,3,2,16,16,3,2,16,11,3,1,16,27,3,1,4,235,18,1,3,5,16,391,3,1,18,1,4,2,3,1,16,3,18,2,3,1,16,10,3,2,16,4,3,1,16,3,3,2,4,159,19,5,4,4,19,6,4,30,10,4,8,3,18,1,4,3,19,2,4,359,19,5,4,3,18,1,10,2,8,5,10,3,},
{4,494,18,3,15,1,18,3,8,2,10,1,4,1,19,3,4,54,19,6,4,1,18,1,3,2,18,6,8,1,18,1,14,2,18,1,8,2,10,10,8,3,18,2,8,11,18,6,8,5,18,1,8,5,18,6,8,1,10,3,4,25,19,7,4,2,10,1,18,3,10,4,18,2,10,2,8,1,18,5,8,1,10,3,8,10,10,2,8,2,10,3,8,2,18,1,8,6,10,2,8,4,18,3,8,1,10,2,8,2,10,3,8,9,15,4,8,4,15,6,8,2,15,3,8,6,15,2,8,75,10,1,8,4,10,6,8,2,10,6,8,6,18,1,8,2,9,2,10,1,18,2,4,1,19,6,4,404,3,5,4,1,19,3,4,2,18,1,3,5,18,1,4,2,3,1,16,2,3,3,16,2,3,5,18,1,4,2,18,1,3,3,18,1,4,9,19,3,4,2,18,3,3,3,18,1,4,15,18,1,3,1,19,1,4,1,19,3,3,2,4,50,19,5,4,49,18,1,3,2,18,1,3,1,4,80,19,1,3,2,4,40,3,2,18,1,4,21,3,1,16,4,3,5,16,2,3,3,16,16,3,1,16,7,3,2,18,1,3,2,16,20,3,2,16,39,3,1,4,237,18,1,4,2,18,1,3,2,16,1,3,2,16,386,3,1,18,1,4,2,3,4,18,1,4,1,3,2,16,6,3,6,16,7,3,1,19,1,4,159,19,4,4,5,19,6,4,31,10,2,8,2,10,2,4,2,19,4,4,359,19,6,4,5,8,4,10,4,},
{4,495,18,6,8,1,10,1,4,2,19,4,4,54,19,3,4,2,18,1,3,3,18,4,14,2,18,1,14,1,3,1,14,1,15,1,8,5,10,7,8,2,18,3,8,12,18,5,8,10,18,8,9,1,10,2,4,24,19,8,4,2,10,2,18,1,10,9,8,1,18,1,8,5,10,4,8,4,10,2,8,3,10,1,8,5,10,1,8,2,18,2,8,1,10,2,8,2,10,2,8,5,18,2,8,5,10,3,8,9,15,4,8,5,15,3,8,3,15,5,8,4,15,4,8,57,10,1,8,22,10,4,8,4,10,2,8,10,18,7,4,2,19,5,4,404,18,1,3,3,4,2,19,4,4,2,18,1,3,5,4,2,18,1,3,3,16,7,3,2,4,3,18,1,3,2,18,1,4,11,19,3,4,1,18,1,4,2,18,1,4,16,3,5,18,2,3,4,18,1,4,46,19,7,4,4,3,1,18,1,4,48,3,2,4,146,3,1,16,2,3,5,18,1,3,5,16,26,3,4,16,9,3,4,16,7,3,2,16,40,18,1,4,241,19,2,4,1,18,1,3,1,16,386,3,3,4,3,19,1,3,2,4,2,3,1,16,4,3,6,16,2,3,7,19,1,4,159,19,3,4,2,18,2,4,2,19,5,4,27,19,3,4,2,10,1,8,3,10,2,4,1,19,5,4,360,19,6,4,4,18,1,8,4,10,3,},
{4,496,18,4,8,3,18,1,4,1,19,5,4,52,19,4,4,1,18,1,3,3,14,1,18,1,8,1,18,2,15,2,8,1,15,1,3,2,15,1,18,1,14,2,18,1,8,5,10,3,8,2,18,3,8,27,18,3,8,2,18,4,8,1,10,1,4,24,19,8,4,2,10,11,8,1,18,2,8,5,10,4,8,16,10,1,8,4,10,2,8,2,10,2,8,1,18,1,8,2,18,8,8,1,10,3,8,8,15,3,8,11,15,2,14,3,15,9,8,80,10,3,8,5,10,2,8,5,10,3,8,3,18,6,4,3,19,3,4,406,18,2,4,1,19,6,4,3,3,1,18,1,3,3,4,3,18,1,3,1,16,8,3,1,18,1,4,3,18,1,3,2,4,12,19,3,4,6,19,2,4,11,3,3,16,4,3,2,16,4,3,1,18,1,4,44,19,8,3,4,16,1,3,1,19,1,4,48,18,1,4,145,18,1,3,8,18,1,3,5,16,27,3,3,16,7,3,7,16,5,3,3,16,39,3,2,4,246,3,2,16,386,3,1,4,4,3,2,4,2,3,11,16,1,3,5,18,1,19,2,4,160,19,2,4,3,18,2,4,2,19,5,4,26,19,5,4,1,18,4,8,1,18,1,4,1,19,5,4,360,19,7,4,3,18,4,8,2,10,2,},
{4,499,18,5,4,2,19,4,4,51,19,4,4,2,18,1,3,2,18,2,8,2,18,1,14,1,18,1,8,3,14,2,18,2,14,2,8,6,10,2,8,33,18,3,8,3,18,3,8,1,10,1,4,2,19,3,4,19,19,8,4,2,10,10,8,1,18,4,8,3,10,4,8,11,18,1,8,2,18,2,8,1,10,2,8,3,10,3,8,3,18,1,15,1,18,2,15,1,14,7,15,1,8,11,15,2,8,11,15,2,14,4,15,9,8,58,9,1,8,21,10,3,8,5,10,3,8,6,10,2,8,3,18,2,3,1,18,2,4,415,19,6,4,3,18,1,4,1,18,1,3,2,4,4,3,1,16,8,3,1,4,4,3,2,4,13,19,4,4,3,19,4,4,8,18,1,3,11,14,1,3,6,4,43,19,6,4,1,3,1,16,6,3,1,4,132,19,1,4,2,19,1,4,57,3,12,16,2,3,1,16,29,3,1,16,8,3,3,16,1,3,3,16,4,3,1,14,2,3,2,16,38,3,1,16,1,3,1,4,242,19,3,4,1,3,1,16,387,3,2,18,1,4,3,18,1,3,17,4,169,18,2,4,2,19,5,4,26,19,5,4,2,18,4,4,2,19,5,4,360,19,8,4,4,18,4,8,2,},
{4,500,18,4,4,2,19,3,4,51,19,4,4,3,18,3,8,4,18,1,14,1,18,1,8,3,18,1,14,1,18,1,15,1,14,2,18,1,8,39,18,3,8,4,18,4,10,1,4,1,19,5,4,16,19,10,4,2,10,10,8,1,18,3,8,1,10,7,8,10,18,2,8,2,18,2,8,1,10,8,8,3,18,1,15,3,18,2,15,1,14,5,18,1,8,22,15,3,14,5,15,2,18,1,15,7,8,57,9,3,8,19,10,4,8,3,10,6,8,5,10,3,8,2,18,5,4,414,19,3,4,1,19,1,4,7,3,1,18,1,4,4,3,1,16,8,3,1,4,4,18,2,4,14,19,4,4,2,19,4,4,8,3,12,14,2,3,5,18,1,4,42,19,5,4,1,3,1,16,8,3,1,4,124,19,1,3,3,4,3,19,5,4,55,3,7,16,47,3,3,16,2,3,1,14,1,16,4,14,1,18,1,3,2,16,38,3,4,4,237,18,1,3,2,19,1,4,1,19,3,4,2,3,1,16,388,3,2,4,2,3,3,18,1,3,6,18,2,3,5,18,1,4,172,19,6,4,26,19,5,4,8,19,4,4,362,19,7,4,7,18,2,8,1,},
{4,492,19,5,4,3,18,4,4,2,19,2,4,53,19,4,4,2,18,3,8,6,15,1,18,1,8,2,15,1,14,3,3,2,14,1,8,39,18,3,8,5,18,3,10,1,4,2,19,4,4,16,19,8,4,4,10,10,8,5,10,8,8,9,18,2,8,4,10,9,8,4,18,3,8,26,15,7,14,5,15,3,8,2,15,8,8,54,10,1,8,1,10,1,8,19,10,14,8,5,10,4,8,2,18,4,4,425,18,1,3,1,18,1,4,3,18,1,3,4,16,4,3,1,18,1,4,24,19,6,4,9,3,8,14,2,16,3,3,1,18,1,3,2,18,1,4,43,19,3,4,2,3,1,16,9,3,1,4,108,18,1,3,2,4,8,3,5,16,3,3,1,18,1,4,3,19,4,4,54,3,5,16,13,3,1,18,1,3,2,16,28,3,2,16,4,3,2,16,2,3,1,8,1,18,1,14,1,3,2,14,2,3,1,16,33,3,2,16,4,3,1,18,1,4,239,18,1,3,2,18,1,4,2,19,2,4,2,18,1,3,1,16,380,3,5,16,4,3,8,18,2,3,1,18,3,3,2,18,1,4,174,19,7,4,26,19,6,4,6,19,5,4,369,19,4,4,4,18,1,8,1,},
{4,492,19,6,4,2,18,3,4,2,19,3,4,53,19,4,4,2,18,2,8,8,18,4,15,1,14,2,3,2,14,1,15,2,8,2,10,1,8,13,10,3,8,18,18,3,8,8,18,1,4,2,19,4,4,16,19,7,4,5,10,24,8,4,18,2,8,7,10,8,8,1,10,2,8,5,18,1,8,6,10,3,8,17,15,7,14,4,15,2,8,9,15,5,8,58,10,1,8,16,10,4,8,3,10,5,8,7,10,4,8,2,18,4,4,423,18,1,3,1,18,1,4,3,18,1,3,5,16,3,3,2,4,25,19,5,4,10,18,2,3,5,14,3,16,3,3,1,18,4,4,44,19,2,4,1,3,1,16,6,3,2,16,2,3,1,4,108,3,1,16,1,3,2,4,6,3,1,16,9,3,3,19,4,4,54,3,6,16,13,3,1,18,1,3,2,16,28,18,2,16,4,3,2,16,3,14,1,8,1,9,1,15,1,14,1,3,3,16,32,3,1,19,2,3,1,16,3,3,1,4,240,3,3,4,8,3,1,16,380,3,5,16,6,3,2,16,3,3,2,18,4,3,2,18,1,4,174,19,7,4,28,19,1,4,2,19,1,4,7,19,4,4,370,19,5,4,3,18,2,},
{4,492,19,6,4,6,19,4,4,52,19,4,4,3,18,2,8,9,18,2,8,1,18,1,14,1,3,3,14,3,18,1,8,1,10,2,8,10,10,4,8,18,18,4,8,8,18,2,4,1,19,4,4,16,19,6,4,2,10,29,8,2,18,5,8,4,10,2,8,2,10,4,8,3,10,1,8,1,10,2,8,2,18,2,8,5,10,2,8,18,15,2,8,3,15,2,14,3,15,2,8,10,15,6,8,44,18,3,8,10,10,4,8,14,10,1,8,6,10,2,8,8,10,2,8,4,9,1,8,1,18,3,4,10,19,2,4,411,3,2,4,4,3,5,16,3,3,2,18,1,4,17,3,3,18,1,4,20,18,1,3,1,18,3,14,4,16,3,3,4,18,1,4,47,3,1,16,10,3,1,4,108,3,1,16,1,3,9,16,10,3,1,16,1,3,6,18,1,4,45,19,2,4,2,18,1,3,8,16,44,3,3,16,2,3,3,16,4,3,1,18,1,8,1,14,1,3,1,16,34,3,1,19,2,3,1,16,3,3,1,4,239,3,2,19,1,4,9,3,2,16,381,3,1,16,2,3,1,16,11,3,9,4,173,19,6,4,414,19,5,4,5,},
{4,492,19,6,4,5,19,5,4,52,19,4,4,2,18,3,8,9,18,1,8,3,15,1,14,2,3,3,14,1,18,1,8,1,10,1,8,13,10,2,8,19,18,3,8,8,18,2,4,2,19,3,4,17,19,5,4,2,10,19,8,1,10,9,8,1,18,5,8,2,10,11,8,1,18,1,8,1,10,4,8,1,18,7,8,4,18,1,8,16,15,2,8,4,15,6,8,11,15,4,8,45,18,3,8,11,10,3,8,21,10,1,8,14,10,1,9,2,18,5,4,7,19,5,4,407,18,1,3,2,4,5,18,1,3,4,16,2,3,2,4,18,3,1,16,3,3,1,4,11,19,1,18,1,3,4,18,1,4,1,18,1,3,2,18,3,14,4,16,3,3,5,4,46,18,1,16,3,3,1,16,2,3,5,4,109,3,5,16,24,3,1,4,45,19,4,3,10,16,8,3,1,14,1,3,1,16,15,3,1,16,16,3,8,16,5,15,1,18,2,3,2,16,13,3,1,16,19,3,1,19,3,16,3,3,1,4,239,19,2,4,4,19,2,4,4,18,1,3,3,16,394,3,5,16,1,3,4,18,1,4,172,19,5,4,414,19,6,4,4,},
{4,493,19,4,4,5,19,6,4,52,19,5,4,1,18,3,8,8,18,1,8,7,14,1,3,2,14,1,15,1,18,1,8,5,18,1,8,10,10,1,8,16,18,1,8,12,18,2,4,3,19,6,4,22,10,18,8,2,10,6,8,1,18,4,8,2,10,13,8,1,18,1,8,2,10,2,8,1,18,6,15,1,8,2,18,2,8,18,15,2,8,6,15,8,8,6,15,5,8,6,15,1,8,55,10,1,8,7,18,1,8,27,10,2,8,2,18,7,4,4,19,5,4,405,19,1,3,2,19,1,4,7,18,1,3,6,18,1,4,15,18,1,3,2,16,4,3,1,4,8,18,1,3,1,16,2,3,2,16,1,3,2,18,3,3,1,15,1,9,1,8,1,14,6,17,1,14,2,3,4,4,43,18,1,3,7,16,2,3,3,18,1,4,114,3,2,16,24,18,1,4,2,18,1,3,1,16,1,3,1,4,34,18,1,3,2,4,2,19,2,3,1,16,1,3,5,16,3,3,1,16,8,3,1,18,1,14,1,16,33,3,4,18,2,3,1,16,5,15,1,14,1,18,1,9,1,3,1,16,12,3,2,16,19,3,1,19,2,4,1,3,1,16,2,3,1,4,245,19,3,4,2,18,1,4,4,3,1,16,393,3,3,16,6,3,2,4,208,19,4,4,4,19,3,4,372,19,8,4,2,},
{4,503,19,3,4,54,19,5,4,2,18,2,8,8,18,1,8,5,10,2,8,1,14,1,3,1,14,1,18,2,8,4,18,3,8,13,18,3,8,24,18,1,4,3,19,6,4,23,10,24,8,1,18,4,8,1,10,14,8,4,10,3,8,1,18,2,8,3,18,1,15,1,18,1,8,1,18,2,8,18,15,3,8,6,15,7,8,6,15,3,8,7,15,3,8,54,10,4,8,13,10,5,8,1,10,2,8,11,10,3,8,1,18,1,8,1,18,6,4,3,19,6,4,404,19,1,3,1,18,1,4,10,3,3,18,1,4,17,3,1,16,5,3,1,4,9,3,1,16,7,3,1,14,5,15,2,3,1,16,2,14,2,15,3,14,1,3,3,18,1,4,43,3,1,16,2,3,2,18,1,3,2,16,1,3,2,18,1,3,1,4,1,19,3,4,112,3,1,16,24,3,1,18,2,3,1,16,3,3,1,4,32,3,5,4,1,19,2,3,1,16,3,3,1,16,5,3,2,16,5,3,3,14,1,3,1,16,32,3,5,18,2,3,2,16,4,3,2,14,1,9,1,18,1,16,2,3,2,16,8,3,3,16,18,3,1,4,4,3,2,19,1,4,245,19,4,4,6,3,2,16,402,3,2,19,1,4,205,19,12,4,373,19,7,4,2,},
{4,560,19,6,4,1,18,2,8,5,10,1,8,2,18,1,8,5,10,2,8,1,14,2,18,1,8,4,18,12,8,6,18,3,8,24,18,2,4,2,19,6,4,26,10,19,8,2,18,4,8,2,10,11,8,2,10,1,8,1,18,2,10,4,8,2,10,2,8,2,18,4,8,2,10,2,8,16,15,16,8,6,15,5,8,5,15,4,8,53,10,6,8,10,10,7,8,14,10,1,8,3,18,8,4,2,19,6,4,432,18,1,3,3,18,2,3,1,16,5,18,1,4,8,3,1,16,5,3,9,14,1,3,1,16,3,17,1,14,1,8,2,15,1,14,1,3,2,18,1,4,39,18,1,4,4,3,1,16,1,3,2,18,2,3,7,18,1,19,3,4,113,3,1,16,24,3,3,16,3,3,2,4,13,19,3,4,13,3,3,16,4,3,1,18,1,3,1,16,9,3,1,18,1,3,1,16,5,3,3,16,30,3,2,16,2,3,6,18,2,3,1,16,4,3,1,16,1,3,3,16,1,3,1,4,2,3,1,16,8,3,5,16,15,3,1,4,4,18,1,3,1,4,246,19,5,4,3,18,2,4,1,18,1,3,1,16,401,3,3,19,1,4,204,19,12,4,376,19,6,},
{4,560,19,6,4,2,18,1,8,8,18,1,8,6,10,1,8,1,18,2,8,1,10,3,8,1,18,1,8,2,18,12,8,2,18,5,8,24,18,1,4,3,19,5,4,7,19,1,4,2,19,1,4,16,10,5,8,4,10,8,8,3,18,3,8,2,10,12,8,2,10,1,8,1,18,2,10,4,8,2,10,2,8,3,18,3,8,1,10,2,8,17,15,4,8,2,15,1,8,1,15,4,8,9,15,9,8,1,15,6,8,54,10,5,8,5,10,11,8,19,9,2,18,5,4,3,19,4,4,433,18,1,3,4,18,1,3,2,16,3,3,1,4,9,3,2,16,2,3,11,16,6,14,1,15,3,14,1,3,3,18,1,4,3,18,1,3,1,18,1,19,2,4,28,3,4,18,1,4,1,18,1,3,1,16,1,3,2,18,1,3,7,16,1,3,1,19,3,4,113,3,3,16,29,3,2,4,11,19,5,4,11,19,1,16,8,3,3,16,8,3,1,9,1,3,1,16,5,3,1,14,1,3,1,16,22,3,3,16,4,3,9,16,1,3,1,18,2,3,4,16,7,3,1,4,2,3,1,16,5,3,8,16,15,3,1,4,253,19,5,4,1,18,1,3,2,4,2,3,1,16,403,3,2,19,1,4,204,19,11,4,376,19,6,},
{4,568,18,1,8,8,18,1,8,8,18,2,8,1,10,2,8,6,18,2,14,2,15,1,18,7,8,1,18,5,8,24,18,2,4,2,19,7,4,4,19,6,4,16,10,1,9,2,18,4,8,4,10,4,8,8,10,12,8,2,10,3,18,2,8,1,10,3,8,2,10,2,8,1,18,1,8,2,18,1,8,42,15,16,8,55,10,4,8,5,10,4,8,4,10,2,8,20,9,3,18,4,4,438,18,4,4,5,3,3,18,1,4,10,3,4,14,3,3,1,14,3,15,2,14,1,17,1,16,7,14,4,3,1,16,2,3,5,16,2,3,4,4,25,3,14,16,2,3,4,16,1,3,1,19,3,4,38,18,2,4,71,19,1,3,4,16,30,3,2,18,1,4,9,19,5,4,11,3,1,16,8,3,1,18,2,3,1,16,6,3,1,18,1,10,1,18,1,16,5,3,1,18,1,3,1,16,22,3,4,16,3,3,5,18,1,3,2,16,2,3,2,18,1,9,1,18,1,3,2,16,7,3,1,4,2,3,1,16,4,3,1,18,2,3,3,16,18,3,1,19,1,4,258,3,3,4,3,3,2,16,402,3,2,4,205,19,9,4,377,19,6,},
{4,568,18,1,8,8,18,1,8,8,18,2,8,10,18,1,15,1,14,1,15,1,18,4,15,2,18,1,8,1,18,1,15,1,18,3,8,24,18,2,4,3,19,6,4,4,19,6,4,17,18,6,8,5,10,3,8,5,10,15,8,2,10,3,18,3,10,3,8,2,10,1,8,2,18,2,8,43,15,16,8,58,10,1,8,36,10,3,8,1,18,4,4,436,18,1,3,2,18,1,4,6,18,2,4,12,3,3,18,1,8,1,14,1,17,1,16,2,14,1,7,1,8,2,7,1,17,1,16,2,14,2,16,4,14,2,3,1,16,13,3,2,4,24,3,1,16,3,3,1,16,4,3,3,16,4,3,3,16,2,3,1,4,1,19,1,4,38,3,5,18,1,4,29,3,6,4,3,3,2,19,1,4,27,3,5,16,32,3,1,4,8,19,5,4,12,3,1,16,8,3,1,4,2,3,1,16,6,3,1,18,1,10,1,3,1,16,5,3,1,18,1,3,1,16,23,3,3,16,2,3,5,18,2,3,2,16,3,3,2,18,1,9,1,18,1,3,1,16,7,3,1,4,2,3,5,18,1,4,2,18,1,3,2,16,18,3,1,4,258,18,1,3,2,4,5,3,3,16,401,3,2,4,205,19,7,4,379,19,4,4,1,},
{4,562,19,4,4,2,18,2,8,7,18,1,8,6,18,4,8,2,18,1,8,7,18,2,15,2,18,4,14,1,15,1,18,1,8,1,18,1,15,1,18,3,8,24,18,3,4,2,19,16,4,2,18,4,4,2,19,3,4,7,18,4,8,10,10,24,8,1,18,2,8,1,10,3,8,4,18,3,8,4,18,2,15,2,8,23,15,4,8,6,15,17,8,89,15,2,8,5,10,2,9,1,18,5,4,7,19,6,4,421,18,2,3,1,18,1,4,4,18,1,3,1,18,1,4,13,3,4,18,1,15,1,14,1,16,3,17,1,7,1,8,2,14,4,15,2,14,1,16,3,14,2,16,7,3,3,16,5,3,2,4,23,3,6,16,10,3,5,18,1,4,34,19,1,4,3,3,2,16,5,3,1,4,28,3,1,16,4,3,2,18,1,4,2,3,1,16,1,3,4,4,24,3,1,16,36,3,1,4,9,19,3,4,2,18,2,4,10,3,1,16,6,3,1,19,1,4,1,18,1,3,1,16,7,3,1,18,1,3,1,16,5,3,1,14,1,3,1,16,24,3,5,16,2,3,2,18,1,4,1,18,1,3,1,16,4,3,2,18,2,3,1,16,7,3,1,4,4,18,2,4,7,3,1,16,16,3,2,4,258,3,2,4,7,3,3,16,401,3,1,19,1,4,595,},
{4,562,19,4,4,2,18,2,8,11,15,4,18,3,8,1,18,1,15,1,18,1,8,7,18,7,15,1,18,2,8,1,18,5,8,23,18,4,4,3,19,12,4,5,18,4,4,2,19,4,4,6,18,3,8,2,10,4,8,4,10,25,8,4,10,3,8,5,15,2,8,1,10,1,8,1,18,3,15,3,8,5,15,4,8,8,15,32,8,51,18,3,8,33,15,5,18,1,8,7,18,4,4,6,19,8,4,419,18,1,3,3,18,2,4,3,3,2,18,1,4,13,3,7,16,5,14,2,16,2,14,1,15,3,14,2,16,2,17,1,14,1,16,7,3,1,18,2,3,7,18,1,4,22,18,1,3,5,16,9,3,6,18,1,4,33,19,3,4,1,3,1,16,8,3,1,4,26,3,1,16,5,3,3,4,2,3,2,16,4,19,1,4,23,3,2,16,35,3,1,4,9,19,2,4,1,19,1,3,1,16,1,3,2,4,3,18,2,4,2,19,3,3,1,16,5,3,1,19,2,3,1,16,8,3,3,16,6,3,3,16,1,3,1,16,22,3,1,18,2,3,1,16,3,3,1,18,1,4,2,3,1,16,4,3,3,18,1,3,1,16,7,3,1,18,1,4,9,19,2,4,2,3,1,16,15,3,1,4,258,18,1,3,2,4,10,3,2,16,398,3,2,4,596,},
{4,562,19,4,4,3,18,2,8,10,15,4,18,1,8,4,18,1,8,10,18,7,8,3,18,4,8,25,18,3,4,3,19,10,4,6,18,3,4,3,19,8,4,3,18,2,8,2,10,5,8,2,10,27,8,5,10,5,8,1,14,2,8,3,18,1,8,2,15,4,8,3,15,6,8,4,15,8,8,4,15,23,8,51,18,4,8,22,10,4,8,6,15,6,8,9,18,2,4,6,19,8,4,416,18,2,3,4,18,7,4,4,19,3,4,8,3,2,16,14,14,1,15,1,14,3,17,1,16,12,3,1,18,2,3,6,18,1,4,1,19,3,4,20,3,5,16,7,3,8,4,33,19,3,4,1,3,1,16,9,3,1,4,21,3,3,16,5,3,5,4,4,3,2,16,1,3,1,4,7,18,1,3,1,18,1,4,15,19,1,3,2,16,33,3,1,4,11,3,2,16,3,3,7,18,1,4,1,19,3,3,1,16,4,3,1,19,2,3,1,16,8,3,3,16,6,3,4,16,23,3,1,4,2,3,1,16,4,3,1,4,2,3,2,16,2,3,6,16,7,3,2,4,9,19,4,4,1,3,1,16,13,3,2,4,258,18,1,3,1,18,1,4,11,3,2,16,396,3,2,4,597,},
{4,562,19,4,4,3,18,2,8,11,15,3,18,1,8,9,18,2,8,5,18,6,8,3,18,3,8,10,10,3,8,15,18,2,4,3,19,8,4,6,10,2,18,2,4,3,19,8,4,3,18,3,8,2,10,21,8,1,10,8,8,2,10,4,8,3,10,4,8,1,15,2,18,1,8,1,18,2,8,2,15,13,8,4,15,6,8,8,15,20,8,42,18,2,8,8,18,4,8,9,10,2,8,10,10,6,8,5,15,7,8,9,18,2,4,5,19,8,4,415,18,1,3,6,18,5,4,3,19,6,4,9,18,1,3,3,16,1,3,1,16,9,14,1,15,2,14,1,17,1,16,13,3,1,14,1,18,2,3,5,4,2,19,3,4,20,3,7,16,5,3,8,18,1,4,32,19,3,4,1,3,1,16,10,4,20,3,1,16,6,3,2,4,1,18,2,3,3,4,3,3,3,4,4,18,3,3,2,16,1,3,1,4,17,18,1,3,2,16,30,3,2,18,1,4,9,3,1,16,12,3,1,19,4,3,1,16,4,3,1,19,2,3,1,16,5,3,7,16,6,3,1,18,1,3,2,16,22,3,1,4,2,18,1,3,1,16,3,3,1,4,2,18,1,3,17,18,1,4,9,19,4,4,1,3,1,16,11,3,3,4,270,19,2,4,2,3,5,16,392,3,1,18,1,4,597,},
{4,562,19,5,4,2,18,2,8,12,18,1,15,1,18,1,8,8,18,4,8,5,18,3,8,5,18,3,8,30,10,1,4,2,19,4,4,7,10,1,18,1,4,1,10,2,18,2,4,2,19,9,4,4,18,3,8,2,10,29,8,1,10,6,8,3,10,2,8,2,18,5,8,2,18,1,15,12,8,19,15,5,14,1,15,12,8,38,18,1,8,4,18,3,8,9,18,2,8,8,10,4,8,10,10,6,8,6,15,7,8,10,18,3,4,3,19,7,4,414,18,1,3,3,18,8,4,4,19,6,4,11,18,3,8,2,15,1,3,1,16,5,14,1,8,1,9,1,8,1,15,1,17,1,16,13,3,1,14,2,3,5,18,1,4,1,19,4,4,20,3,2,16,3,3,5,16,3,3,2,16,4,3,2,4,32,19,5,3,1,16,9,3,1,4,18,3,1,16,5,3,1,4,4,18,1,3,1,16,3,3,5,4,1,19,2,4,1,18,1,3,4,16,3,3,1,4,18,18,1,3,1,16,29,3,12,16,7,3,2,16,5,3,2,4,2,18,1,16,5,18,1,4,1,3,1,16,4,3,9,16,3,3,3,18,2,3,1,16,5,3,2,16,3,3,1,16,11,3,1,18,1,4,3,3,1,16,2,3,1,19,2,18,1,3,1,4,1,18,1,3,4,18,2,4,2,18,2,4,14,19,4,4,1,3,1,16,10,3,2,19,1,4,271,19,4,4,4,3,2,16,391,3,2,4,597,},
{4,562,19,5,4,3,18,2,8,2,18,2,8,8,15,1,18,1,8,8,18,3,8,14,18,3,8,29,10,3,4,8,18,2,4,2,10,1,18,1,10,3,8,1,18,1,4,2,19,9,4,5,18,3,8,1,10,16,8,2,10,11,8,1,10,7,8,2,10,2,8,1,18,1,8,2,18,2,8,1,18,1,15,14,8,18,15,6,14,3,15,9,8,14,15,1,8,26,18,1,8,2,18,3,8,18,10,1,8,13,10,7,8,5,15,9,8,10,9,1,18,1,4,4,19,6,4,414,18,11,4,5,19,5,4,4,18,3,4,6,18,1,8,1,10,3,18,1,3,2,16,1,3,1,14,1,15,2,8,1,9,1,15,1,17,1,16,13,3,6,16,1,3,2,4,1,19,4,4,20,18,1,3,3,16,2,3,4,16,9,3,2,18,1,4,31,19,5,3,1,16,10,3,1,19,1,4,16,18,1,3,1,16,2,3,2,4,4,3,2,16,8,3,1,19,4,4,1,3,2,16,5,3,2,19,1,4,17,3,3,16,27,3,2,16,6,3,1,16,12,3,2,16,5,3,1,18,1,4,1,3,1,16,4,3,2,18,1,3,1,16,3,3,7,18,1,3,1,16,3,3,1,16,1,3,1,18,2,3,1,16,5,3,7,16,11,3,1,18,1,4,2,18,1,3,2,4,1,19,2,4,4,18,3,4,22,19,2,4,1,18,1,3,1,16,7,3,4,4,274,19,3,4,5,3,1,16,392,3,1,18,1,4,596,},
{4,562,19,6,4,4,18,4,8,8,18,2,8,2,18,2,8,6,18,1,8,14,18,3,8,29,10,3,4,5,18,5,10,2,18,2,10,3,8,1,18,1,4,2,19,11,4,4,18,1,8,2,10,16,8,2,10,15,8,2,10,2,8,5,18,1,8,3,18,1,8,1,18,1,15,13,8,10,15,16,14,2,15,10,8,44,18,1,8,33,10,6,8,6,15,10,8,9,9,1,18,1,4,4,19,6,4,415,18,3,3,4,18,1,4,7,19,3,4,3,19,1,3,7,18,5,14,1,18,4,3,7,14,1,15,1,14,1,16,7,17,1,14,2,16,3,3,3,16,7,3,1,4,2,19,2,4,22,18,1,3,2,16,1,3,2,14,2,3,1,16,1,3,1,16,6,3,2,4,32,19,4,4,1,3,1,16,11,3,2,4,17,18,1,19,1,4,4,18,1,3,1,16,11,3,1,19,3,4,1,3,1,16,7,3,3,18,1,4,17,18,1,3,1,16,26,3,1,16,7,3,1,16,13,3,1,16,6,3,1,4,2,3,1,16,4,3,1,18,1,3,2,16,2,3,3,16,1,3,2,18,2,3,1,16,3,3,1,16,2,3,5,16,2,3,5,18,1,3,2,16,12,3,1,4,5,19,4,4,31,18,1,16,7,3,1,19,1,4,278,19,2,4,5,3,2,16,392,3,1,4,596,},
{4,563,19,5,4,4,18,4,8,8,18,2,8,2,15,1,18,1,8,21,18,3,8,31,10,1,4,3,18,3,3,1,18,3,10,3,9,1,10,3,18,2,4,2,19,11,4,4,10,20,8,1,10,3,8,2,10,10,8,1,10,3,8,10,18,1,15,14,8,4,15,16,8,4,15,3,14,1,15,12,8,74,10,6,8,6,15,8,14,3,15,3,8,7,9,1,18,1,4,5,19,4,4,417,18,7,4,7,19,2,4,4,3,4,16,6,3,13,16,9,17,3,14,4,17,1,16,12,3,1,4,26,18,1,3,4,14,2,3,5,16,5,3,1,4,32,19,4,4,1,3,1,16,13,3,1,4,21,18,1,16,14,3,1,19,2,4,1,3,1,16,10,3,2,4,17,3,1,16,25,3,1,16,29,3,1,4,3,3,5,18,1,3,2,16,1,3,2,16,3,3,2,18,2,3,1,16,8,3,2,18,1,3,6,18,1,4,2,3,1,16,13,3,1,18,2,4,2,19,5,4,30,3,1,16,4,3,3,4,288,3,5,16,388,3,1,4,596,},
{4,564,19,5,4,5,18,2,8,8,15,2,8,2,15,2,8,1,10,1,8,7,18,2,8,9,18,5,8,25,10,1,8,4,18,10,9,1,10,6,8,1,18,1,4,8,19,6,4,4,10,23,18,3,10,14,8,2,10,3,8,2,18,1,8,1,18,1,15,2,18,1,8,2,15,10,8,4,15,5,8,2,15,7,8,6,15,17,8,54,18,3,8,7,15,3,8,5,10,6,8,5,15,10,14,4,15,6,8,4,18,1,4,427,18,4,4,14,3,6,16,12,3,4,16,10,17,3,14,6,16,12,3,2,4,27,18,2,3,5,14,1,3,5,16,1,3,2,18,1,4,31,19,4,4,1,3,1,16,13,3,1,4,11,18,1,3,3,4,6,3,1,16,15,3,2,18,1,3,1,16,11,3,2,4,15,18,1,3,1,16,24,3,2,16,19,3,3,16,2,3,5,18,1,4,8,18,1,3,6,16,2,3,1,4,2,18,1,16,9,3,1,18,1,4,2,3,1,16,3,18,1,4,3,3,1,16,15,3,3,4,1,19,4,4,30,3,1,16,4,3,1,19,1,4,14,19,1,3,2,4,262,3,2,18,1,4,11,18,1,3,1,16,387,3,1,19,1,4,595,},
{4,565,19,4,4,7,18,3,8,5,18,2,8,5,10,1,8,6,18,4,8,9,18,3,8,26,10,1,8,3,18,9,8,1,10,7,8,1,18,2,4,8,19,6,4,4,10,4,8,2,10,15,8,1,18,1,3,2,18,1,10,16,8,1,10,3,8,1,18,1,8,1,18,1,15,2,8,3,15,13,8,2,15,3,8,4,15,5,8,8,15,18,8,69,10,5,8,7,15,10,14,5,15,4,18,1,8,4,18,1,4,444,3,8,16,25,17,2,14,7,16,14,3,1,4,27,18,1,3,3,16,1,3,1,14,2,3,7,4,32,19,5,18,1,16,12,3,2,4,10,18,1,3,1,16,3,3,1,4,5,3,1,16,16,3,3,16,13,3,1,4,14,18,1,3,1,16,24,3,2,16,20,3,1,16,4,3,5,18,1,4,7,18,1,3,2,18,1,4,2,3,3,18,1,4,3,3,2,16,7,3,1,4,4,3,3,4,4,18,1,3,6,16,10,3,2,4,2,19,3,4,30,3,2,16,2,3,2,4,14,19,1,3,1,16,1,3,1,4,262,3,2,18,1,4,11,18,1,3,1,16,388,3,1,4,595,},
{4,564,19,6,4,7,18,2,8,4,18,3,8,6,10,2,8,3,18,6,8,7,18,4,8,3,10,3,8,23,18,5,8,4,10,3,8,9,4,8,19,6,4,4,10,5,8,2,10,14,18,1,16,2,14,1,10,6,8,4,10,7,8,2,10,2,8,1,18,7,15,2,8,2,15,2,14,1,15,7,8,24,15,9,14,1,15,5,7,1,8,58,18,1,8,5,10,8,8,9,15,6,14,3,15,10,8,5,9,1,4,443,3,10,16,24,17,1,14,6,3,1,16,16,3,1,4,26,3,3,16,3,14,1,3,1,16,3,3,1,4,36,19,4,4,1,3,1,16,3,3,1,16,6,3,1,4,1,19,8,4,2,18,1,3,1,16,5,3,1,4,4,3,1,16,16,3,3,16,13,3,1,4,14,18,1,3,1,16,54,3,8,18,3,4,15,19,1,3,6,4,19,3,2,16,6,3,2,4,36,19,1,3,4,4,15,3,1,16,2,3,1,4,263,19,1,4,6,19,3,4,1,18,1,3,2,16,390,3,1,4,594,},
{4,567,19,2,4,8,18,2,8,4,18,2,8,3,10,2,8,2,10,2,8,4,18,3,15,2,8,8,18,1,8,5,10,4,8,21,18,3,8,4,10,4,8,6,18,1,8,4,18,5,10,1,4,12,10,5,8,3,10,13,18,1,16,2,14,1,10,7,8,4,10,6,8,2,10,2,8,2,18,6,15,1,8,3,15,2,14,2,15,6,8,27,15,11,7,1,8,64,10,7,8,8,15,11,14,1,15,11,8,5,18,1,4,1,18,1,4,440,3,12,16,22,3,5,14,2,3,1,16,16,3,1,4,26,3,1,16,1,3,2,16,2,14,1,3,1,16,3,18,1,4,36,19,3,4,3,3,5,16,4,3,2,4,1,19,2,4,2,19,4,4,2,3,1,16,7,3,1,4,4,3,1,16,15,3,2,16,14,3,1,4,15,3,2,16,61,3,3,19,1,4,18,18,1,3,1,19,1,4,21,3,6,18,1,4,39,18,2,4,16,3,1,16,2,3,1,4,265,19,8,4,1,18,1,3,3,16,388,3,1,18,1,4,594,},
{4,577,18,1,8,9,10,5,8,3,10,2,8,4,18,2,15,1,8,8,18,2,8,4,10,3,8,3,18,2,8,2,10,4,8,16,10,3,8,14,18,3,10,3,18,1,4,2,10,12,8,3,10,7,8,2,10,5,18,1,3,2,18,1,10,8,8,4,10,5,8,6,18,5,14,1,15,1,8,3,15,1,14,4,15,4,8,23,15,2,8,4,15,10,8,42,10,2,8,22,10,4,8,7,15,15,14,5,15,10,18,6,10,3,4,440,18,1,3,15,16,12,3,1,14,1,3,2,16,1,3,1,14,4,3,1,16,14,3,1,18,1,4,25,3,1,16,1,3,1,14,1,16,2,14,2,16,2,3,1,18,1,4,46,18,1,3,10,4,1,19,3,4,2,3,2,16,7,3,1,18,1,4,4,3,1,16,1,3,3,16,25,3,1,4,17,3,2,16,63,3,2,18,1,4,104,3,1,16,2,3,1,4,264,19,10,4,3,18,1,3,1,16,386,3,1,4,596,},
{4,578,10,1,8,8,10,5,8,2,10,5,8,3,18,1,8,9,18,3,8,4,10,1,8,1,10,2,8,1,18,2,8,2,10,4,8,16,10,2,8,7,18,2,8,7,18,2,8,1,10,14,9,1,8,5,10,6,8,4,10,4,8,1,18,2,8,1,10,8,8,5,10,4,8,6,18,4,14,2,15,1,8,2,15,1,14,4,15,5,8,22,15,3,8,3,15,3,14,1,15,1,8,2,15,3,8,42,10,3,8,32,15,16,14,4,15,11,18,1,8,1,9,4,10,4,4,440,18,3,3,3,18,2,8,1,10,2,18,4,3,1,16,11,3,2,16,4,14,4,3,2,16,2,3,2,16,6,3,5,19,4,4,21,3,1,16,1,3,2,16,2,14,2,3,3,18,1,4,46,18,1,3,6,16,4,3,1,19,3,4,2,3,1,16,10,18,1,4,1,19,2,4,1,18,1,4,2,18,1,3,1,16,23,3,1,4,19,18,1,3,6,16,18,3,3,16,38,3,2,4,102,19,1,16,2,3,1,4,265,19,10,4,4,18,1,3,2,16,384,3,1,4,596,},
{4,578,10,2,8,3,10,9,8,2,10,6,8,21,10,2,8,6,10,1,8,4,18,2,8,12,10,1,8,6,18,4,8,5,18,1,8,1,18,2,8,3,10,13,8,3,10,9,8,3,10,5,8,1,10,10,8,5,10,4,8,4,10,2,8,1,18,1,8,2,18,1,14,1,15,3,14,4,15,1,8,2,15,4,8,21,15,3,18,1,8,2,15,1,14,3,15,2,8,1,15,5,8,11,15,2,8,62,15,16,14,2,15,4,8,8,15,1,8,2,9,4,10,4,4,441,10,2,9,1,18,1,9,1,10,5,9,1,18,2,3,2,16,18,17,1,14,1,17,1,16,7,3,2,16,3,3,4,16,1,3,1,19,3,4,18,18,2,3,3,16,4,14,1,15,1,14,1,3,1,16,1,3,1,4,40,18,1,3,9,16,7,3,1,18,1,4,1,19,1,4,1,18,1,16,11,3,1,4,2,19,6,4,1,3,1,16,22,3,1,4,23,19,1,3,3,16,16,3,1,18,2,3,2,16,38,3,2,4,101,3,1,16,2,3,1,4,265,19,2,4,9,19,3,4,2,3,2,16,384,3,2,4,594,},
{4,579,18,3,8,1,10,17,8,22,10,1,8,9,18,4,8,20,18,2,8,7,18,2,8,2,18,3,8,1,9,2,10,21,8,3,10,9,8,2,10,4,8,5,10,6,8,3,10,2,8,4,18,2,15,2,14,5,8,4,15,2,8,22,15,3,18,1,8,2,15,1,14,4,15,3,14,1,15,7,7,1,15,2,7,1,8,3,15,3,8,58,15,17,14,2,15,5,8,12,9,1,8,2,9,1,10,4,4,431,3,2,18,1,4,7,10,10,18,1,3,4,16,27,17,1,14,3,16,1,3,4,16,2,3,1,19,4,4,16,18,1,3,4,14,1,17,1,16,4,14,2,3,1,16,1,3,2,18,1,3,2,4,36,3,1,16,17,3,1,4,3,3,1,16,12,18,1,4,1,19,7,3,1,16,22,3,1,4,24,18,1,3,1,16,16,3,1,18,1,4,2,18,1,3,2,16,38,3,1,4,100,3,1,16,3,3,1,18,1,4,274,19,6,4,1,3,3,16,383,3,1,19,1,4,593,},
{4,575,19,2,4,4,18,2,10,16,8,8,18,2,8,15,10,2,8,4,18,4,8,29,18,5,8,1,18,1,8,1,18,4,8,3,10,10,8,1,10,6,8,4,10,8,8,3,10,4,8,3,10,9,8,2,10,6,8,1,18,2,15,2,14,3,15,2,8,27,15,3,18,1,8,2,15,1,14,4,15,2,14,3,15,6,7,4,8,3,15,3,8,27,18,1,8,28,15,18,14,3,15,8,8,13,10,4,4,429,18,1,3,8,18,2,4,1,10,4,18,1,14,3,3,7,16,22,17,2,16,4,17,1,14,1,3,1,16,2,3,3,16,2,3,1,19,4,4,11,19,1,3,8,14,3,16,6,3,1,16,2,3,2,16,2,3,1,4,2,19,2,4,30,3,1,16,19,18,1,4,2,3,1,16,11,3,1,18,1,19,4,3,4,16,23,3,1,4,24,3,1,16,11,3,1,16,4,3,1,18,1,4,5,3,1,16,38,3,1,4,100,3,1,16,3,3,2,4,274,19,6,4,2,18,1,3,6,16,379,3,1,4,593,},
{4,574,19,5,4,3,18,1,8,1,10,13,8,10,18,3,8,5,10,2,8,12,18,3,8,6,18,1,8,10,18,1,8,13,18,2,8,5,18,6,8,3,10,9,8,2,10,5,8,6,10,6,8,3,10,4,8,2,10,18,8,7,15,1,14,2,15,2,8,31,15,8,14,1,15,3,8,1,15,6,8,5,15,1,8,15,18,1,8,11,18,3,8,27,15,32,8,8,18,1,8,3,18,2,4,428,3,2,16,1,3,9,18,3,9,2,14,1,3,10,16,22,17,1,16,6,3,2,16,3,3,2,16,2,3,1,19,4,4,11,3,8,14,4,16,13,3,1,4,1,19,4,4,4,19,1,3,1,19,1,4,21,3,1,16,19,3,1,18,1,4,2,18,1,3,4,16,4,3,3,16,1,3,1,19,4,3,1,16,26,3,2,4,23,3,1,16,3,3,14,4,6,18,1,3,1,16,28,3,3,16,1,3,5,18,1,4,100,3,2,16,1,3,3,4,274,19,6,4,8,18,1,3,2,16,377,3,1,18,1,4,592,},
{4,574,19,6,4,2,18,2,10,13,8,7,18,6,8,3,10,4,8,20,18,3,8,9,18,2,8,12,18,1,8,6,18,2,8,7,10,8,8,5,10,3,8,15,10,4,8,1,10,18,8,5,10,3,8,1,14,4,8,1,10,3,8,10,15,1,8,18,15,8,8,6,15,2,8,6,15,1,8,28,18,1,8,18,15,1,8,9,15,34,8,8,18,5,4,426,3,5,18,1,14,5,3,6,14,1,3,1,14,3,3,8,16,28,14,2,16,3,3,3,16,1,3,1,4,1,19,3,4,12,19,1,3,1,18,2,3,3,14,3,17,1,16,12,3,1,19,1,4,1,19,4,4,3,18,1,3,1,16,1,3,5,18,1,4,16,3,1,16,18,3,1,18,1,4,4,19,3,3,1,16,9,3,1,4,1,19,2,3,1,16,27,3,2,4,22,3,4,4,12,19,1,4,8,3,1,16,20,3,8,19,1,4,1,18,1,3,2,18,1,4,105,19,1,3,2,4,276,19,5,4,11,3,1,16,377,3,2,4,592,},
{4,574,19,6,4,2,18,2,10,6,8,3,10,4,8,3,18,9,8,4,10,3,8,8,18,3,8,9,18,4,8,30,18,2,8,6,10,10,8,4,10,3,8,15,10,18,8,2,10,3,8,5,10,3,8,1,15,1,14,3,8,1,10,3,8,9,15,2,8,21,15,2,8,17,15,1,8,47,15,2,8,13,15,8,8,8,15,12,8,6,15,2,18,6,4,425,3,5,15,1,8,1,15,1,14,3,7,1,14,1,3,10,14,1,3,4,16,31,14,2,3,1,16,2,3,5,4,1,19,3,4,16,18,1,3,3,14,2,16,2,17,2,16,9,3,1,4,2,19,3,4,4,3,1,16,7,3,2,4,15,18,1,3,4,16,14,3,1,18,1,4,3,19,4,3,1,16,10,18,1,19,2,3,5,16,25,3,1,4,23,18,1,4,23,3,2,16,17,3,8,18,1,4,112,19,1,4,278,19,3,4,12,3,1,16,378,3,2,4,591,},
{4,575,19,5,4,4,10,6,8,5,10,3,8,2,18,7,8,6,10,2,8,9,18,3,8,8,18,3,8,31,18,3,8,4,10,6,8,1,10,6,8,2,10,7,8,13,10,17,8,2,10,2,8,10,18,1,15,1,14,1,15,1,8,2,10,2,8,9,15,1,8,12,10,1,8,9,15,2,8,112,15,4,18,6,4,3,19,2,4,419,3,6,14,2,3,1,17,1,14,5,3,7,16,2,3,4,16,17,3,1,6,1,17,1,16,11,17,1,14,3,3,3,14,1,3,2,18,1,19,4,4,16,18,1,3,3,14,1,17,1,16,2,17,1,14,3,17,2,14,1,3,1,16,2,3,4,18,1,4,5,3,1,16,4,3,1,16,5,3,1,18,1,4,16,18,1,3,1,16,15,3,1,4,3,19,3,3,1,16,11,3,1,18,1,4,3,18,1,3,3,16,25,3,1,4,47,18,1,16,19,3,6,18,1,19,3,4,2,19,4,4,397,18,1,3,2,16,377,3,2,4,590,},
{4,575,19,4,4,5,10,6,8,6,10,2,8,1,18,3,14,2,18,1,8,6,10,3,8,10,18,3,8,6,18,3,8,30,18,1,8,1,18,5,8,2,10,5,8,5,10,16,8,10,10,8,8,1,10,8,8,2,10,3,8,1,10,3,8,2,15,2,8,17,15,1,8,12,10,3,8,8,15,1,18,1,8,9,15,4,8,93,15,6,8,4,18,6,4,2,19,4,4,418,3,8,16,2,17,2,16,1,3,1,14,1,18,1,14,1,3,4,16,24,14,1,6,1,17,1,16,9,17,2,3,3,14,1,3,3,14,1,3,2,4,1,19,4,4,17,18,1,3,2,14,2,16,2,17,1,14,1,7,1,14,6,3,4,16,2,3,2,4,3,3,1,16,2,3,4,16,5,3,1,18,1,4,16,18,1,3,3,16,3,3,1,16,9,3,1,4,2,19,1,4,1,3,1,16,14,18,1,4,3,3,2,16,25,3,1,18,1,4,48,3,1,16,20,3,4,18,1,19,10,4,396,18,2,3,2,16,378,3,1,18,1,4,588,},
{4,584,10,3,8,12,18,3,14,1,18,2,8,2,10,6,8,12,18,1,8,4,18,6,8,2,10,1,8,2,18,1,8,22,18,7,8,4,10,5,8,4,10,8,8,2,10,8,8,7,18,1,8,1,10,6,8,3,10,8,8,2,10,7,8,1,15,1,14,2,15,1,8,1,10,1,8,27,10,2,9,1,8,17,18,1,15,8,8,3,15,2,8,17,18,3,8,59,15,12,8,6,18,4,4,1,19,5,4,415,19,1,4,2,3,7,16,3,17,1,16,3,3,1,14,1,3,3,16,18,3,3,16,6,17,1,16,14,3,7,18,1,4,1,19,4,4,18,18,3,14,2,17,3,16,2,17,1,14,1,15,2,14,1,16,8,3,3,16,3,3,3,16,7,3,1,4,19,18,1,3,1,16,13,3,1,4,3,3,1,16,14,3,1,19,2,4,1,3,1,16,25,3,2,4,24,3,3,18,1,4,21,3,1,16,22,3,2,18,1,4,1,19,9,4,399,18,1,3,1,16,379,3,1,18,1,4,586,},
{4,584,10,3,8,11,18,2,14,2,18,2,8,2,10,8,8,4,18,2,8,6,18,7,8,8,18,1,8,12,18,2,8,5,18,8,8,6,10,5,8,3,10,7,8,5,10,9,8,2,10,2,8,3,10,3,8,9,10,4,8,2,10,9,15,1,14,2,15,1,8,30,9,4,8,6,9,1,8,6,15,11,8,2,15,4,8,15,18,2,8,60,15,3,14,7,15,1,14,1,15,1,8,7,18,3,4,1,19,5,4,414,19,3,4,1,18,1,3,4,16,3,3,1,14,1,16,4,3,5,16,18,3,2,14,1,3,3,16,18,3,7,18,1,4,1,19,3,4,20,18,2,15,1,14,2,17,1,16,4,14,2,15,2,14,1,16,8,3,1,16,5,3,2,16,6,3,1,18,1,4,19,18,1,3,1,16,13,3,1,18,1,4,2,3,1,16,14,3,1,19,2,4,1,3,1,16,25,3,1,4,25,3,1,16,2,3,1,4,21,3,1,16,1,3,3,16,18,3,2,18,1,4,3,19,7,4,72,3,10,19,1,4,317,18,1,3,2,16,378,3,1,4,586,},
{4,584,18,1,10,2,18,1,8,5,10,1,8,3,18,1,14,3,18,2,8,2,10,9,8,5,18,4,8,3,18,2,14,2,18,2,8,2,10,2,8,3,18,3,8,12,18,2,8,3,18,5,14,1,18,4,8,1,10,7,8,2,10,10,8,3,18,1,8,3,10,8,8,2,10,2,8,3,10,3,8,1,18,3,8,6,10,2,8,1,18,1,8,1,10,5,8,1,10,3,8,1,15,2,14,1,15,4,8,5,15,1,8,21,9,1,10,10,8,4,15,12,8,2,15,4,8,13,18,2,8,43,15,7,8,12,15,2,14,8,15,3,8,7,18,3,4,1,19,6,4,413,19,4,4,1,3,2,16,4,3,1,14,2,16,4,3,1,14,1,3,2,14,1,3,1,16,18,3,1,14,5,16,2,17,2,16,12,3,2,14,2,3,3,18,1,4,21,19,2,4,2,18,2,14,3,6,1,16,6,14,1,15,2,16,7,3,4,16,7,3,2,16,1,3,1,18,1,4,18,3,2,16,16,3,1,4,3,3,1,16,14,3,1,19,3,3,1,16,24,3,1,4,25,3,1,16,2,3,1,18,1,4,20,3,1,16,1,3,1,18,1,3,1,16,14,3,3,16,1,3,2,18,1,3,4,4,1,19,5,4,70,18,1,3,1,16,10,3,3,18,1,4,3,19,4,4,307,18,2,3,2,16,377,3,2,4,585,},
{4,584,18,1,10,2,8,5,10,2,8,1,18,2,14,3,18,2,8,3,10,10,8,6,18,2,8,3,18,5,8,2,10,3,8,2,18,2,8,12,18,3,8,4,18,9,8,2,10,7,8,3,10,7,8,5,18,2,8,3,10,7,8,2,10,2,8,2,10,4,8,1,18,2,8,1,10,2,8,2,18,1,8,1,10,2,8,3,10,4,8,2,10,3,8,3,15,2,14,1,15,2,8,2,10,1,8,24,9,1,10,10,8,2,18,3,15,17,8,55,15,12,8,9,15,2,14,9,15,3,8,7,18,3,4,1,19,7,4,412,19,4,4,1,18,1,3,6,14,2,3,1,16,2,3,1,14,1,3,3,14,2,3,2,16,7,3,5,16,3,3,1,14,1,18,1,14,1,15,1,8,1,15,1,3,1,16,1,14,2,16,8,3,2,16,1,3,1,14,4,3,3,18,1,4,20,19,4,4,2,18,1,14,3,6,1,16,6,14,3,3,1,16,6,3,5,16,6,3,2,16,1,3,1,4,18,3,1,16,19,18,1,4,3,3,1,16,14,3,1,19,2,3,1,16,24,3,1,4,26,3,4,4,20,3,5,16,14,3,3,16,1,3,3,16,4,3,1,4,2,19,3,4,69,18,1,3,1,16,14,3,1,4,2,19,5,4,309,18,1,3,7,16,369,3,1,16,2,3,2,4,584,},
{4,584,10,3,8,2,18,2,8,1,10,2,8,1,14,3,18,1,8,2,10,1,8,1,10,10,8,1,10,1,8,17,10,3,8,2,18,3,8,5,18,2,8,5,18,3,8,5,18,6,8,5,10,7,8,3,10,6,8,18,10,7,8,3,18,1,8,2,10,3,8,2,18,1,8,2,10,5,8,12,15,2,8,1,10,3,8,11,10,2,8,2,10,2,8,5,9,4,8,1,9,1,10,7,8,2,18,2,8,2,14,3,15,3,18,1,15,1,14,2,15,6,8,23,18,2,8,29,15,2,14,2,15,11,8,5,15,3,14,10,15,3,8,8,18,2,4,2,19,6,4,413,19,4,4,3,3,3,18,3,3,2,14,1,3,5,14,4,3,1,16,5,3,1,14,3,18,1,14,1,3,3,15,1,8,2,14,2,8,1,15,1,16,2,14,2,16,7,3,4,14,3,3,3,14,2,18,2,4,3,18,2,3,1,18,1,4,12,19,5,4,1,18,1,14,2,17,2,16,4,17,1,14,3,3,1,14,1,3,2,16,5,3,4,16,6,3,4,18,1,4,2,19,3,4,12,3,1,16,5,3,3,16,11,3,1,18,1,4,2,18,1,16,14,3,1,4,2,3,1,16,24,3,1,4,28,3,3,18,1,4,19,19,1,3,2,16,4,3,1,16,22,3,1,4,60,18,1,3,4,4,5,18,1,3,2,16,16,3,1,18,1,4,1,19,4,4,1,18,2,4,310,18,1,4,3,18,1,3,1,16,368,3,1,16,3,3,1,4,584,},
{4,582,19,1,4,2,10,2,8,3,18,1,8,1,10,1,8,2,18,3,8,1,10,12,8,19,10,3,8,4,18,2,8,13,18,2,8,16,10,8,8,4,10,5,8,19,10,7,8,4,10,4,8,4,10,5,8,8,18,1,8,7,10,3,8,5,10,1,8,4,10,3,8,2,10,3,8,3,9,1,10,2,9,1,8,3,9,2,10,3,9,1,8,2,18,1,15,1,18,1,10,1,9,1,18,1,14,4,15,2,18,1,15,7,8,23,18,4,8,28,15,10,14,1,15,4,8,5,15,1,14,6,15,3,14,4,15,2,8,9,18,1,4,3,19,5,4,414,19,3,4,4,18,8,3,5,14,6,15,1,14,1,3,2,14,1,15,2,18,3,3,2,9,1,10,2,18,1,3,2,14,2,16,2,14,2,16,3,17,2,14,9,3,2,14,4,3,1,18,2,3,6,4,11,19,5,4,1,18,1,3,1,16,7,14,1,15,1,14,1,16,2,14,2,3,1,16,6,3,2,16,7,3,5,4,2,19,3,4,12,3,2,16,3,3,1,18,2,3,1,16,12,3,1,4,2,18,1,16,15,3,1,4,1,3,2,16,4,3,2,16,16,3,2,4,17,19,1,4,10,3,2,16,1,3,1,19,1,4,19,3,3,16,27,18,1,4,58,3,2,16,4,3,1,4,3,3,2,16,19,3,1,4,3,19,2,3,5,4,313,18,1,3,1,16,371,3,2,4,583,},
{4,578,19,6,4,2,10,1,8,10,10,13,8,27,18,2,8,13,18,2,8,13,10,5,8,2,10,2,8,6,10,6,8,12,10,3,8,4,10,6,8,3,10,5,8,4,10,4,8,17,10,2,8,2,15,2,8,1,10,3,8,3,10,3,8,2,10,2,8,4,9,3,8,6,9,2,8,3,18,1,15,2,8,1,10,2,8,1,18,1,15,1,14,3,15,1,8,3,15,5,8,24,18,3,8,20,10,3,8,4,15,15,8,6,15,1,14,14,15,1,8,9,18,1,4,3,19,8,4,424,18,2,3,2,14,5,3,1,14,1,15,1,8,1,15,1,14,1,3,2,14,3,3,4,18,1,10,3,14,1,3,3,16,3,14,2,16,3,17,2,14,7,3,3,14,4,3,16,4,5,19,5,4,1,3,1,16,8,14,3,16,2,3,1,14,2,3,1,16,14,3,5,18,1,19,4,4,13,18,1,3,3,4,3,3,1,16,13,3,1,18,1,3,1,16,15,3,4,16,4,3,1,16,17,3,1,18,1,4,16,3,2,4,10,3,1,16,3,3,1,4,20,18,1,3,2,16,26,3,3,4,48,19,1,4,1,19,3,4,1,18,1,3,2,16,5,3,4,16,22,3,5,16,5,3,2,4,312,3,4,16,369,3,2,4,582,},
{4,578,19,6,4,2,18,2,8,2,10,2,8,2,10,15,8,2,18,1,8,16,18,1,8,23,18,1,8,14,10,5,8,11,10,7,8,9,10,4,8,4,10,7,8,2,10,5,8,2,10,5,8,4,10,5,9,1,8,11,18,1,14,1,15,1,8,1,10,3,8,4,10,6,8,19,18,1,15,1,8,1,10,3,8,2,15,1,14,2,15,1,18,1,8,3,15,4,8,22,18,1,8,19,15,1,8,4,10,3,8,4,15,3,8,2,15,9,8,7,15,2,14,6,15,1,14,6,15,1,8,9,18,1,4,4,19,8,4,326,18,4,3,3,4,12,19,5,4,73,18,1,3,3,14,4,3,3,15,1,8,1,14,1,3,3,14,3,3,4,10,3,18,1,3,2,16,5,17,2,16,2,17,1,14,13,15,3,14,2,3,9,16,5,3,1,18,1,4,4,19,2,4,3,3,1,16,8,17,2,16,4,14,2,3,1,16,2,3,2,16,5,3,1,16,3,3,6,19,5,4,19,18,1,3,1,16,1,3,1,16,55,3,1,18,1,4,16,3,2,4,10,3,1,16,3,3,1,4,22,3,1,16,24,3,2,16,3,3,1,4,46,19,7,3,1,16,45,3,1,4,300,18,1,4,11,18,1,3,4,16,369,3,1,4,581,},
{4,578,19,5,4,2,18,4,8,1,10,2,8,2,10,15,8,12,10,2,8,29,18,1,8,7,18,1,8,1,18,1,8,5,10,4,8,12,10,7,8,17,10,4,8,3,10,12,8,2,18,1,8,2,10,6,8,2,15,2,8,4,15,2,8,2,15,1,18,1,8,5,18,1,8,3,10,4,8,1,18,2,8,16,10,1,8,1,18,1,15,1,18,1,8,6,18,1,15,1,18,2,15,6,8,1,15,1,8,18,15,4,8,3,15,2,8,12,15,1,8,13,15,11,8,7,15,5,14,3,15,4,14,4,15,2,8,9,18,1,4,6,19,6,4,325,18,1,3,8,4,10,19,6,4,73,3,5,14,1,18,1,14,1,3,3,18,2,14,1,3,4,14,1,18,1,3,3,4,4,3,1,16,4,3,3,16,3,17,1,14,13,7,2,15,1,8,3,15,3,14,3,3,3,16,6,3,5,18,2,4,2,18,1,3,3,16,13,14,2,16,2,14,2,16,4,3,1,14,2,3,3,16,1,3,4,4,1,19,4,4,18,3,2,16,59,3,1,4,16,3,2,4,10,3,1,16,3,3,1,18,1,4,19,19,1,4,2,16,24,3,2,16,4,3,1,18,1,4,44,19,4,4,1,18,1,3,1,16,46,3,1,4,315,18,2,3,2,16,367,3,1,18,1,4,580,},
{4,578,19,4,4,4,18,4,10,2,18,2,10,15,8,11,10,4,8,27,18,2,8,6,18,5,8,6,10,1,8,15,10,6,8,23,10,13,8,3,10,6,8,3,15,2,8,4,14,2,18,1,8,12,10,1,8,14,9,1,10,2,9,2,10,5,18,1,14,1,15,1,18,2,8,1,10,2,8,2,15,2,14,1,15,2,8,1,15,5,8,16,15,6,8,3,15,2,8,27,15,9,8,6,15,4,8,2,15,14,8,9,18,3,4,4,19,6,4,325,18,1,3,8,18,3,4,8,19,4,4,74,3,6,18,4,3,6,14,1,3,5,4,4,18,1,3,1,16,2,3,5,16,3,14,1,7,2,14,3,17,2,14,3,7,7,8,5,15,2,14,4,3,1,16,10,3,4,18,2,14,2,17,1,16,12,14,2,16,2,14,3,16,3,14,4,3,2,16,2,3,3,4,2,19,2,4,19,3,1,16,3,3,7,16,16,3,1,16,33,3,1,4,16,18,2,4,10,16,5,3,1,4,18,19,4,3,1,16,23,3,2,16,5,3,1,19,1,4,45,19,1,4,1,18,1,3,1,16,47,3,1,18,1,4,297,19,2,4,2,19,2,4,14,18,1,3,2,16,365,3,2,4,580,},
{4,578,19,4,4,17,18,1,10,11,8,1,10,4,8,4,10,4,8,27,18,3,8,3,18,7,8,23,10,5,8,9,18,2,8,9,10,1,8,2,10,18,8,1,18,2,8,4,18,2,8,3,18,1,15,2,8,2,10,1,8,2,18,1,8,3,10,4,8,14,10,11,18,1,15,2,18,1,8,5,18,1,15,1,14,3,15,1,8,1,15,7,8,14,15,6,8,4,15,7,8,21,15,11,8,2,15,6,8,3,15,4,8,2,15,7,8,8,15,1,18,5,4,3,19,4,4,327,18,5,3,4,18,6,4,82,3,3,16,1,3,2,18,1,4,3,18,1,3,4,14,1,18,1,14,1,3,2,18,1,4,4,18,1,3,2,16,1,3,3,16,5,17,1,14,1,7,1,14,1,17,1,16,2,17,2,14,4,7,11,14,5,3,4,16,11,3,2,14,3,17,1,16,12,3,2,16,3,14,2,3,1,16,2,14,2,3,3,16,3,3,3,4,23,3,1,16,1,3,2,18,1,4,5,3,1,16,14,3,3,16,33,3,1,4,1,19,1,4,8,18,1,4,17,16,5,3,1,4,18,19,4,3,1,16,31,3,1,4,46,18,1,3,1,16,50,3,4,4,293,19,6,4,14,18,3,3,6,16,359,3,2,4,580,},
{4,526,18,2,4,50,19,2,4,6,19,7,4,1,19,1,4,5,18,1,10,16,8,3,10,3,8,13,18,2,8,13,18,9,8,29,10,2,8,11,18,1,8,6,10,13,8,2,10,8,8,2,18,1,14,1,15,1,8,2,10,2,8,4,18,2,8,3,10,1,8,5,10,5,8,5,10,3,8,6,10,5,8,3,10,2,8,1,18,2,8,7,15,1,14,4,15,1,8,1,15,9,8,13,15,5,8,5,15,6,8,22,15,3,8,1,15,14,8,9,15,7,8,5,15,8,18,2,4,329,18,4,9,2,18,4,3,2,18,4,3,4,18,3,3,3,18,1,4,3,18,3,4,69,3,2,16,2,3,1,18,1,4,1,19,1,4,2,3,1,16,1,3,2,18,2,3,3,4,5,3,1,16,1,3,5,16,4,14,6,16,2,3,1,14,6,7,9,14,6,3,1,14,1,3,5,16,8,3,3,14,2,17,1,16,17,17,1,14,6,16,2,3,2,16,3,3,1,18,1,4,23,18,1,3,1,18,1,4,7,3,1,16,14,3,1,16,33,3,2,19,3,4,6,3,4,4,16,3,1,16,4,3,1,4,18,19,4,3,1,16,31,3,1,18,1,4,42,3,4,16,55,3,1,4,292,19,6,4,6,10,2,4,6,10,3,9,1,18,5,3,3,16,357,3,1,4,580,},
{4,524,18,15,10,1,4,44,19,13,4,5,10,15,8,17,18,5,8,2,10,3,8,7,18,8,8,16,18,2,8,5,18,4,8,6,10,3,8,13,10,10,8,1,10,4,8,12,18,1,15,2,10,4,8,1,15,2,18,1,8,7,10,1,8,3,10,5,8,5,10,2,8,5,10,5,8,7,18,1,8,2,10,2,8,2,18,2,15,1,14,4,15,1,8,1,15,9,8,24,15,5,8,28,15,12,8,9,15,7,18,1,8,2,15,10,18,2,4,330,18,3,9,2,18,10,3,10,18,4,3,2,18,5,4,66,3,1,16,2,3,1,18,1,19,3,4,1,3,3,18,2,3,4,4,4,18,1,3,4,18,2,3,6,14,1,18,2,14,1,3,5,14,5,15,3,7,6,14,6,16,4,3,1,14,1,3,1,16,3,3,3,16,2,3,3,16,1,17,2,16,12,14,1,17,1,16,4,14,6,17,1,14,3,16,3,3,1,18,1,4,26,19,3,4,1,3,3,16,48,3,1,19,5,4,6,3,1,16,1,3,2,4,16,3,1,16,4,3,1,4,18,19,4,3,1,16,31,3,1,4,5,18,1,4,36,18,1,3,1,16,59,3,1,18,1,4,290,19,7,4,1,19,2,4,2,10,2,4,6,10,1,9,1,10,1,9,1,18,3,9,1,10,3,18,2,3,1,16,355,3,1,4,580,},
{4,522,18,18,10,1,4,42,19,16,4,4,18,1,10,13,8,12,10,3,8,2,18,5,8,1,10,5,8,6,18,8,8,23,18,4,8,2,18,1,8,4,10,4,8,7,18,2,8,2,10,10,8,1,10,4,8,6,18,3,8,4,18,1,8,1,10,4,8,1,15,2,18,1,8,1,10,1,8,1,18,2,8,1,10,2,8,4,10,5,8,1,18,2,8,8,10,5,8,10,10,1,8,2,18,2,8,1,18,1,15,1,14,3,15,1,8,3,15,4,8,27,15,3,8,30,15,8,8,13,15,7,18,3,15,10,18,5,4,327,18,2,8,3,18,1,15,7,9,1,18,1,14,1,3,1,14,2,3,7,18,3,3,2,18,5,4,67,3,3,4,1,19,3,4,1,3,2,18,1,4,2,18,1,3,1,18,1,4,4,18,1,3,5,18,1,3,7,18,4,3,7,14,4,15,2,7,1,8,1,7,3,14,5,17,1,16,5,14,3,16,3,3,3,16,2,3,2,16,2,17,3,16,7,3,4,14,4,16,3,14,4,17,1,14,4,16,2,3,1,18,1,4,26,19,4,3,1,16,6,3,1,16,35,3,3,16,6,3,1,4,1,19,3,4,7,3,1,16,1,3,1,4,18,3,4,18,1,4,19,19,2,4,1,3,1,16,30,3,1,19,1,4,1,19,1,4,1,18,1,3,3,4,35,3,1,16,61,3,1,4,290,19,10,4,2,18,1,10,1,4,6,10,1,18,1,9,1,18,1,3,2,18,1,9,1,10,5,18,1,16,3,3,1,16,1,3,3,16,347,3,1,4,580,},
{4,522,18,11,10,1,18,6,10,1,4,41,19,19,4,4,18,1,10,11,8,10,10,6,8,2,18,4,8,1,10,5,8,7,18,7,8,6,10,1,8,17,18,2,8,3,18,2,8,3,10,3,8,13,10,12,8,4,10,5,8,1,18,2,8,5,10,4,18,1,15,2,8,3,18,1,15,1,18,1,8,1,10,2,8,1,15,2,8,2,10,4,8,1,18,1,15,1,8,8,10,5,8,5,9,1,10,1,8,6,18,1,8,1,10,2,8,1,15,1,14,2,15,1,8,24,15,5,8,39,15,6,8,13,15,8,18,3,15,11,18,6,4,319,19,5,4,1,18,6,15,7,9,1,18,1,14,1,3,1,14,2,3,9,18,3,3,2,18,2,4,2,18,1,4,68,19,3,4,1,3,3,18,1,4,9,3,14,18,1,4,1,18,2,3,7,14,5,8,4,7,2,14,5,16,7,3,2,16,6,3,3,14,1,3,2,14,3,17,5,14,4,3,2,14,2,15,2,17,1,16,3,17,1,14,1,17,2,14,4,3,2,18,1,4,27,19,3,3,1,16,36,3,7,4,3,3,1,16,5,3,2,4,10,3,2,4,10,3,2,4,35,3,1,16,28,3,1,19,3,4,1,18,1,3,1,16,2,3,1,4,11,3,4,4,14,3,5,18,1,3,2,16,60,3,1,4,288,19,12,4,1,18,2,10,3,18,1,10,4,18,3,3,3,18,1,9,1,10,4,18,1,3,6,18,1,3,1,16,347,3,1,19,1,4,579,},
{4,483,10,22,4,7,10,3,18,2,10,4,18,11,10,3,18,6,4,41,19,20,4,4,10,10,8,11,10,6,8,2,18,4,8,1,10,5,8,7,18,8,8,28,18,3,8,4,10,1,8,18,10,6,8,4,10,7,8,5,10,2,8,3,18,1,15,2,18,1,8,2,18,1,14,2,8,2,10,1,8,1,18,1,15,1,8,2,10,5,8,4,10,1,8,7,10,4,8,5,10,2,8,6,18,1,8,1,10,2,8,1,18,1,14,2,15,1,8,15,15,3,8,4,15,9,8,13,15,3,8,22,15,3,8,20,15,3,18,3,15,11,18,7,4,317,19,5,4,2,18,2,14,1,15,2,14,4,15,2,14,1,15,1,8,1,15,1,14,3,15,1,14,2,3,8,14,1,18,9,4,66,19,4,18,1,3,2,18,1,4,10,18,1,3,3,18,2,3,2,18,1,4,2,18,3,4,4,18,2,3,7,18,3,8,1,10,1,8,2,14,7,16,4,17,1,16,10,3,2,14,10,7,2,15,3,14,5,8,2,14,1,16,4,14,1,17,1,14,5,3,2,18,1,4,27,19,1,4,1,3,1,16,35,3,3,18,3,3,2,18,1,4,3,3,1,16,7,3,3,4,19,3,2,4,35,18,1,16,3,3,3,16,21,3,2,19,3,4,1,3,1,16,4,3,1,4,8,18,1,3,1,16,4,3,1,4,11,19,1,3,1,16,5,3,3,16,60,3,1,4,288,19,11,4,1,18,1,3,1,18,2,10,7,18,2,3,4,18,2,9,3,10,2,18,7,3,1,16,347,3,2,4,579,},
{4,483,10,23,4,6,10,9,18,8,9,2,10,5,18,5,10,1,4,44,19,17,4,3,10,10,8,10,10,7,8,2,18,3,8,2,10,5,8,7,18,7,8,16,10,4,8,8,18,4,8,18,18,4,8,2,10,6,8,2,10,15,8,1,15,2,14,2,15,1,8,2,18,1,14,3,8,1,10,1,8,1,15,2,8,1,10,5,8,4,10,3,8,7,10,4,8,13,18,1,8,1,10,2,8,2,18,1,15,1,8,14,15,18,8,12,15,4,8,3,15,4,8,39,15,2,18,3,15,11,8,2,18,5,4,317,19,4,4,3,18,1,3,1,14,1,15,4,14,2,15,2,14,1,15,3,14,2,15,2,14,4,3,5,14,3,18,1,8,2,18,4,4,67,19,4,4,19,19,1,4,4,19,1,4,11,18,2,3,3,18,1,4,2,10,2,9,1,15,1,14,1,3,3,14,2,3,4,17,3,16,10,3,2,14,2,7,1,14,2,6,2,7,4,8,2,15,2,14,3,15,1,8,2,7,1,17,1,16,2,17,1,14,6,3,2,18,1,4,30,3,1,16,11,3,3,16,19,3,4,18,3,3,8,16,8,3,2,4,57,16,4,3,2,16,20,3,2,16,1,3,1,18,1,4,2,19,1,3,1,16,4,3,2,4,2,18,1,3,4,16,5,3,1,4,10,18,1,3,1,16,6,3,2,16,62,3,1,4,287,19,8,4,2,19,1,4,1,3,3,18,1,10,8,18,1,3,4,18,2,9,2,10,3,9,1,18,3,3,2,18,1,3,1,16,347,3,2,18,1,4,578,},
{4,483,10,5,4,5,10,5,4,7,10,1,4,6,18,20,9,1,10,2,9,1,18,5,4,57,19,6,4,3,10,7,8,11,10,8,8,2,18,1,8,3,10,6,8,7,18,1,8,21,10,5,8,6,18,7,8,6,10,1,8,10,18,5,8,1,10,21,8,3,15,1,14,2,15,1,8,3,15,1,14,3,8,2,15,3,8,1,10,5,8,4,10,3,8,24,15,1,18,1,8,1,10,1,8,15,15,6,8,2,15,12,8,12,15,4,8,4,15,4,8,40,15,1,18,4,15,10,8,3,18,4,4,317,19,4,4,1,18,2,3,2,14,1,15,3,7,10,14,1,15,2,14,2,15,1,14,2,16,1,17,1,14,4,15,1,8,3,18,1,15,1,18,4,19,1,4,65,19,2,4,18,19,9,4,18,18,1,9,1,15,1,14,1,3,10,17,5,16,8,3,2,14,2,7,1,14,1,17,1,6,1,7,5,8,1,15,2,14,4,15,1,8,2,7,1,14,1,17,2,14,7,3,2,18,1,4,30,3,1,16,2,3,5,16,2,3,5,16,1,3,4,16,2,3,2,16,5,3,1,16,3,3,9,16,16,3,1,4,5,3,2,4,3,3,3,4,12,19,1,18,1,19,2,4,27,18,1,16,4,3,2,16,19,3,2,16,4,18,1,19,2,3,1,16,5,3,4,16,10,3,1,4,9,3,2,16,7,3,1,16,62,3,1,4,287,19,6,4,4,19,2,3,3,18,1,10,8,9,1,18,1,3,2,18,1,9,4,10,4,18,3,3,2,18,1,3,2,16,13,3,2,16,332,3,2,4,578,},
{4,512,18,21,10,2,18,5,4,58,19,6,4,5,10,4,8,3,18,3,8,6,10,7,8,3,18,1,8,2,10,7,8,2,18,5,8,18,10,1,8,3,10,5,8,2,18,13,8,3,10,3,8,10,18,3,8,3,10,18,8,1,18,1,15,2,8,2,15,2,8,2,10,2,8,1,15,1,14,1,15,1,18,1,8,2,18,1,15,1,8,2,10,1,8,3,10,4,8,1,10,2,8,3,10,3,8,18,15,2,8,1,10,1,8,12,15,8,8,5,15,8,8,7,15,2,8,4,15,4,8,50,18,3,15,12,8,2,18,5,4,316,19,4,4,1,3,4,14,1,15,2,14,3,7,7,15,4,14,2,15,1,14,3,16,1,3,1,14,1,15,2,18,1,15,1,14,1,15,1,18,2,8,1,10,1,18,1,3,2,4,77,19,4,4,4,19,7,4,18,18,1,3,7,14,2,3,2,16,2,3,1,16,4,17,1,6,1,14,1,17,1,16,4,3,4,14,3,17,3,7,5,14,3,3,1,14,4,15,2,14,7,17,3,14,1,3,1,16,1,18,1,4,4,19,2,4,24,3,1,16,2,3,1,18,1,4,3,18,2,4,3,3,1,16,2,18,1,4,2,18,1,16,2,3,2,16,3,3,5,16,17,3,3,16,6,3,1,4,4,3,3,4,2,18,1,3,1,16,2,3,2,4,7,3,4,16,1,3,6,4,3,19,1,4,17,18,1,3,2,16,4,3,1,16,20,3,1,16,5,3,1,19,2,4,1,3,1,16,5,3,2,16,12,3,5,4,4,3,3,16,8,3,1,16,60,3,1,4,287,19,6,4,1,18,3,19,2,18,1,3,2,18,1,4,5,10,3,9,1,18,3,10,3,9,2,10,4,9,1,18,6,3,2,16,12,3,2,16,18,3,2,16,312,3,2,4,578,},
{4,483,10,3,4,13,10,2,18,13,8,2,18,3,3,2,18,19,4,58,19,9,4,2,10,3,8,3,18,4,8,6,10,7,8,5,10,7,8,3,18,3,8,20,10,9,8,4,18,5,8,2,18,5,8,4,10,3,8,15,10,17,8,1,18,1,14,1,15,1,8,1,10,1,8,2,10,4,8,4,18,5,8,2,10,3,8,1,10,4,8,27,18,2,8,6,15,6,8,2,15,2,8,2,15,5,8,8,15,4,8,6,15,4,8,2,15,10,8,46,18,2,15,13,8,1,18,5,4,316,19,4,18,1,3,3,14,2,15,2,14,4,15,6,8,1,15,4,14,1,15,1,14,3,16,1,3,1,14,1,15,1,8,2,15,1,14,2,15,1,8,2,10,1,18,1,3,2,19,1,4,75,19,6,4,2,19,8,4,18,3,1,16,1,3,2,16,1,3,2,14,3,3,1,16,8,17,1,6,1,14,1,17,1,16,2,3,1,14,2,3,4,14,2,16,2,17,1,6,1,7,1,14,10,7,2,14,8,16,2,3,4,18,1,4,4,19,4,4,22,18,1,3,3,4,10,3,2,4,4,3,2,4,2,3,4,18,1,3,3,16,17,3,3,16,6,3,1,4,4,3,3,4,2,3,1,16,4,3,1,4,5,18,1,3,1,16,10,3,1,19,1,4,1,19,3,4,15,3,1,16,34,3,1,19,2,18,1,3,1,16,24,3,1,19,1,4,2,3,4,16,67,3,1,4,288,19,6,4,1,18,2,4,1,19,2,18,1,3,1,18,1,4,1,19,2,4,4,10,3,18,3,10,3,9,1,10,2,9,3,18,4,9,1,10,1,9,1,18,1,3,2,16,1,3,2,16,3,3,1,16,4,3,2,16,16,3,3,16,314,3,1,19,1,4,577,},
{4,483,10,4,18,12,10,1,18,13,8,1,10,3,8,1,18,1,3,4,18,3,3,1,18,2,8,1,18,9,4,59,19,10,4,1,10,3,8,2,18,5,8,5,10,9,8,1,10,9,8,3,18,3,8,22,10,10,8,9,18,6,8,1,18,2,8,1,10,2,8,14,10,18,8,4,10,8,8,2,10,2,8,1,18,1,14,1,18,1,8,1,10,6,9,1,10,2,8,21,10,1,8,4,10,2,8,1,18,2,8,2,18,2,14,3,15,4,8,2,15,2,8,5,15,4,8,7,15,4,8,2,15,4,8,4,15,11,8,48,15,14,18,5,4,321,3,2,14,4,7,1,14,4,15,13,14,6,15,7,8,4,18,1,3,1,18,1,4,75,19,6,4,2,19,4,4,2,18,1,3,4,18,7,4,5,18,1,3,6,14,7,16,8,17,2,16,4,17,1,14,3,3,1,16,7,17,1,14,9,7,1,8,3,7,3,14,4,3,6,4,6,19,6,4,1,18,1,3,4,4,40,18,1,3,2,16,28,3,1,4,6,3,6,16,3,3,1,4,2,18,1,3,2,16,13,3,1,19,4,4,15,3,1,16,34,3,2,18,1,3,1,16,26,3,3,16,70,3,1,18,1,4,289,19,5,4,4,19,2,18,2,4,1,19,3,4,4,10,3,18,3,10,2,9,2,10,2,9,1,18,4,9,2,10,2,18,1,3,2,16,5,3,5,16,2,3,2,16,7,3,1,16,8,3,3,16,314,3,2,4,577,},
{4,483,10,4,18,12,9,3,18,11,8,4,18,1,14,2,3,2,14,1,18,5,8,2,18,2,3,2,18,4,4,4,19,3,4,53,19,10,4,1,10,3,8,3,18,3,8,5,10,19,8,4,18,1,8,14,10,23,8,7,18,8,8,1,10,2,8,6,18,1,8,2,10,4,8,2,10,33,8,1,18,3,8,1,10,10,9,2,8,4,18,3,8,9,10,9,8,2,18,1,8,1,9,1,8,1,18,1,14,3,15,1,18,2,8,10,15,4,8,8,15,2,8,11,15,11,8,12,15,1,8,35,15,1,8,4,15,3,14,4,15,4,18,3,4,320,18,3,14,4,7,2,15,1,14,2,15,13,14,6,15,9,8,3,18,2,4,76,19,5,4,7,3,13,18,5,3,1,16,2,3,1,15,1,14,10,16,5,17,4,16,4,17,1,14,4,16,4,3,4,14,7,7,3,8,2,7,5,14,2,3,6,4,7,19,5,4,1,18,1,3,1,16,4,3,1,4,39,18,1,3,1,16,25,3,3,16,1,3,1,4,5,19,1,3,1,16,4,3,5,18,2,3,1,16,16,3,1,19,4,4,14,3,1,16,36,3,1,16,36,3,2,16,61,3,1,18,1,4,293,19,1,4,5,19,2,4,2,19,4,4,4,18,1,9,1,18,4,10,1,9,3,10,2,9,1,8,4,18,6,3,2,16,4,3,1,18,3,3,1,16,1,3,4,16,6,3,3,16,5,3,1,18,1,3,1,16,316,3,4,4,574,},
{4,477,18,3,4,2,10,5,18,12,9,2,10,1,9,1,18,14,14,4,18,1,8,1,10,3,8,2,18,8,4,6,19,5,4,51,19,10,4,1,10,1,8,12,10,2,8,3,10,10,8,19,10,28,8,5,18,3,14,1,18,1,8,2,18,3,8,1,10,2,8,8,10,5,8,4,10,18,8,2,10,3,8,3,10,3,8,1,18,3,8,4,10,10,8,11,10,12,9,1,8,5,9,1,10,2,8,1,18,2,15,1,8,9,15,4,8,24,15,12,8,12,15,1,8,34,15,4,8,2,15,3,14,4,15,4,18,3,4,2,19,3,4,315,18,3,14,4,7,3,15,16,14,7,15,9,18,3,4,3,19,3,4,71,19,3,4,5,18,1,3,8,14,1,3,2,14,3,3,6,14,1,15,2,18,2,15,2,14,8,16,4,17,2,6,3,17,1,16,3,17,1,14,4,17,2,14,16,7,7,14,3,3,3,18,2,4,7,19,4,4,1,18,2,3,1,16,4,3,1,18,1,4,36,18,1,3,1,16,5,3,1,16,21,3,1,18,2,3,3,4,3,3,2,16,5,3,7,16,18,3,1,19,3,4,14,3,1,16,136,3,1,4,298,19,4,4,2,19,3,4,6,18,2,4,3,10,1,8,1,18,1,8,1,10,3,9,1,10,1,9,1,8,1,18,1,3,2,18,1,4,2,18,1,3,1,16,4,3,1,18,1,4,1,18,1,3,3,19,2,18,1,3,1,16,5,3,3,16,5,3,1,4,1,18,1,16,316,3,5,4,573,},
{4,475,10,2,18,4,10,6,18,11,9,1,10,5,18,14,14,2,18,1,8,1,10,7,18,1,3,1,18,5,4,5,19,7,4,40,19,4,4,6,19,9,4,2,18,1,8,8,10,5,8,5,10,7,8,11,10,3,8,7,10,28,8,4,18,4,14,1,18,1,8,11,10,1,8,3,10,8,8,2,10,19,8,2,10,1,8,1,18,2,8,1,10,3,18,3,8,2,10,1,8,2,10,2,8,1,10,8,8,1,10,1,8,6,10,9,8,2,10,3,8,6,10,3,9,1,8,11,15,5,8,4,15,5,8,15,15,6,8,3,15,3,8,4,15,2,8,5,15,2,8,2,15,3,8,29,15,9,14,4,15,1,14,1,15,2,18,3,4,2,19,5,4,311,18,5,14,4,7,1,15,18,14,7,15,6,14,3,18,5,4,1,19,5,4,69,19,2,4,2,18,3,3,7,18,3,15,1,14,1,15,4,14,1,3,2,16,2,3,1,14,1,8,1,9,1,8,3,15,2,14,5,15,1,14,2,16,3,17,3,6,2,17,2,16,2,17,1,14,11,15,1,14,10,6,2,14,1,7,3,15,2,14,2,3,2,18,1,4,10,19,2,4,1,3,4,16,5,3,1,4,36,3,1,16,28,3,1,4,2,3,3,18,1,4,2,3,1,16,5,3,1,18,1,4,1,18,1,3,3,16,20,3,1,4,16,3,1,16,135,3,1,18,1,4,298,19,10,4,10,10,1,9,2,8,3,9,1,10,3,18,1,3,4,4,3,18,1,3,4,18,1,4,2,18,1,3,3,19,2,4,1,3,9,16,5,3,1,4,2,3,1,16,318,3,3,4,572,},
{4,475,10,2,4,1,18,2,10,13,8,1,9,2,10,9,9,1,18,8,8,1,10,3,8,1,18,3,8,1,10,6,18,7,4,4,19,8,4,40,19,4,4,6,19,8,4,3,18,1,8,7,10,6,8,5,10,7,8,4,18,3,8,3,10,6,8,6,10,27,8,4,18,2,8,2,18,2,8,1,10,1,8,8,10,19,8,3,10,16,8,2,10,4,18,2,8,6,10,13,8,6,10,9,8,1,18,1,8,1,10,1,8,6,9,1,10,3,8,8,18,1,8,3,15,1,14,1,15,3,18,1,8,3,15,5,8,18,15,1,8,12,15,3,8,4,15,2,8,3,15,2,8,29,15,9,14,7,15,2,18,2,4,3,19,4,4,311,18,1,3,1,18,3,14,3,15,18,14,9,15,6,14,4,18,5,4,2,19,4,4,66,3,16,18,3,15,2,14,2,15,4,14,5,15,4,8,1,15,5,14,1,15,1,8,1,15,1,14,3,3,1,16,3,3,3,16,3,3,4,14,1,3,1,14,4,15,1,8,3,15,1,14,12,15,4,14,1,3,2,18,1,4,14,3,4,16,5,3,1,4,34,18,1,3,2,16,28,3,1,4,3,3,3,4,2,3,1,16,4,3,1,4,3,18,1,3,1,16,5,3,2,16,16,3,1,4,15,3,1,16,64,3,1,16,69,3,1,4,302,19,8,4,2,18,2,4,6,10,3,18,3,8,1,10,3,18,1,14,1,18,1,3,3,4,11,3,1,16,1,3,1,19,2,4,2,19,3,4,1,18,1,3,2,16,6,3,1,4,2,3,1,16,320,3,1,4,572,},
{4,475,10,2,4,1,18,2,10,3,18,1,10,9,8,2,10,9,8,1,18,8,8,1,10,5,8,5,10,6,18,2,10,2,18,2,4,5,19,7,4,40,19,4,4,6,19,2,4,3,19,2,4,2,18,2,8,7,10,7,8,5,10,6,8,5,18,2,8,3,10,6,8,6,10,1,8,1,10,29,8,2,18,1,8,2,18,1,8,2,10,3,8,3,18,1,8,2,10,19,8,3,10,15,8,3,10,4,18,2,10,2,8,1,18,1,8,1,10,14,8,10,10,5,18,2,8,6,10,2,9,1,8,8,18,1,8,2,15,1,18,1,8,2,15,1,14,1,15,3,18,3,15,5,8,9,15,3,8,11,15,1,8,15,15,1,8,12,15,2,8,22,15,13,14,2,15,3,18,2,4,2,19,5,4,311,18,1,4,1,18,2,14,3,15,17,14,10,15,8,14,3,18,2,3,2,18,1,4,1,19,4,4,65,18,1,3,1,16,2,3,1,16,1,3,8,14,3,15,1,18,1,15,8,8,4,15,2,14,3,15,1,8,3,15,5,8,2,15,1,14,3,16,5,3,12,14,2,15,1,8,3,15,1,14,5,7,2,14,10,3,2,18,1,4,13,19,1,3,4,16,5,3,1,4,33,19,1,3,1,16,28,3,3,4,4,3,2,4,2,3,2,16,3,3,1,4,3,18,1,3,1,16,24,3,1,4,14,3,1,16,64,3,2,16,68,3,1,4,3,3,4,4,295,19,9,4,9,10,3,9,1,18,1,14,1,18,1,9,1,10,2,18,1,3,3,16,1,3,1,18,1,4,10,3,1,16,1,3,1,19,1,4,3,19,3,4,2,3,2,16,6,3,1,4,3,3,1,16,3,3,1,16,315,3,1,19,1,4,571,},
{4,475,10,2,4,2,10,4,18,3,10,5,18,4,10,4,18,3,3,5,18,4,8,2,10,5,8,4,10,4,8,1,10,3,18,2,10,3,18,1,4,7,19,11,4,34,19,4,4,14,18,3,8,10,10,15,8,9,10,7,8,4,10,33,8,8,10,3,8,1,18,3,8,2,10,37,8,2,10,4,8,3,10,2,8,1,18,1,8,1,10,13,8,12,10,4,8,7,10,3,9,1,8,8,15,5,8,2,15,3,18,3,15,6,8,6,15,1,18,1,8,1,15,5,8,9,15,3,8,25,15,2,14,1,15,1,8,27,15,9,14,1,15,2,14,1,18,2,4,3,19,4,4,2,19,4,4,307,18,1,3,1,14,2,15,10,8,1,15,7,14,9,15,10,14,2,18,2,3,3,18,1,4,2,19,2,4,62,3,12,14,1,18,1,14,5,3,1,14,1,15,10,8,1,9,2,8,1,15,1,14,4,15,1,8,3,15,1,14,3,8,2,15,1,14,3,16,6,3,3,18,3,3,1,14,1,3,5,14,1,15,1,8,2,15,1,14,4,7,1,8,1,7,2,14,7,3,4,18,1,4,12,18,1,3,5,16,5,3,1,4,33,3,1,16,4,3,2,16,23,3,2,4,10,3,1,16,2,3,1,4,4,18,1,16,26,3,1,4,13,3,1,16,134,3,1,4,2,3,2,16,3,3,1,19,1,4,293,19,10,4,3,19,2,4,3,10,4,9,1,18,1,15,1,18,1,8,1,9,1,8,1,3,1,16,3,3,3,18,2,3,1,18,1,4,4,18,1,3,1,16,2,3,1,4,2,19,2,4,1,18,1,3,4,16,6,3,1,4,1,19,3,3,1,16,1,3,2,16,316,3,1,18,1,4,570,},
{4,475,10,8,18,4,10,2,18,7,10,1,8,1,18,2,3,7,18,4,10,6,8,4,10,5,8,2,10,2,8,1,10,5,4,7,19,13,4,32,19,4,4,13,18,1,3,1,18,1,8,1,10,1,8,8,10,13,8,10,10,7,8,1,10,1,8,2,10,21,8,2,10,13,8,8,10,2,8,1,18,3,8,1,10,37,8,2,10,4,8,1,18,1,8,1,10,3,8,2,10,2,8,1,10,8,8,1,10,1,8,13,10,5,8,1,10,1,8,4,10,3,8,2,18,1,8,1,10,2,8,2,18,1,15,5,18,4,8,2,18,3,15,5,8,4,15,4,8,13,15,5,8,24,15,1,14,4,15,1,8,15,18,2,8,6,15,1,8,2,15,12,14,2,3,1,18,1,4,2,19,11,4,306,18,1,3,1,14,2,15,10,8,6,15,3,14,2,15,10,14,3,15,3,14,4,3,3,18,2,4,62,19,1,4,2,3,1,16,1,3,5,18,6,15,1,14,7,15,1,14,1,15,2,8,2,15,4,8,5,15,2,14,2,8,2,15,3,14,4,15,1,14,4,3,1,16,3,3,3,18,6,3,7,14,1,15,2,14,5,8,2,15,2,14,5,3,4,18,2,4,12,19,1,3,4,16,8,3,1,4,32,19,1,3,1,16,3,3,2,16,23,3,1,4,12,3,2,4,6,16,27,3,1,4,12,3,1,16,134,3,1,4,2,3,3,16,3,3,1,4,293,19,16,4,2,10,5,18,1,3,2,15,1,9,1,10,1,3,1,16,6,3,4,18,1,4,4,3,2,16,1,3,1,4,1,19,2,4,1,18,1,3,6,16,5,3,1,19,4,3,3,16,6,3,2,16,310,3,1,4,570,},
{4,478,10,5,18,15,3,4,18,2,8,4,18,3,8,2,10,2,8,6,10,5,8,2,10,8,4,6,19,14,4,32,19,3,4,11,18,6,8,10,10,9,8,12,10,49,8,1,18,1,8,4,18,1,8,1,10,2,8,1,18,2,8,2,10,37,8,2,10,4,18,2,10,8,8,1,10,8,8,11,10,11,8,2,18,1,8,1,10,3,8,1,18,2,8,1,10,2,8,1,18,3,15,1,14,2,15,2,18,1,8,4,18,2,8,2,18,2,15,4,18,4,8,11,15,7,8,18,18,2,8,5,18,1,15,1,14,3,15,2,8,23,15,10,7,5,14,3,18,2,4,3,19,10,4,305,18,1,14,3,15,5,14,2,15,3,8,8,15,12,14,5,15,2,14,3,17,1,14,2,3,1,18,2,4,61,19,4,3,1,16,1,3,6,14,11,15,6,8,4,15,6,8,4,18,1,8,2,15,1,14,2,3,7,14,1,3,7,18,1,4,5,18,1,3,13,14,2,18,1,8,1,15,1,14,2,3,8,4,2,19,2,4,9,3,5,16,9,3,2,4,32,3,2,16,25,3,3,19,2,4,2,19,2,4,2,3,2,4,10,3,1,16,26,3,1,4,12,3,1,16,134,3,1,18,1,4,4,3,5,4,294,19,13,4,7,18,1,3,4,9,1,10,1,9,1,16,6,3,2,16,3,3,1,4,5,3,3,19,2,4,1,3,5,4,2,3,1,16,4,3,1,19,2,4,2,3,6,16,2,3,3,16,311,3,1,4,569,},
{4,478,10,4,8,1,18,14,14,1,3,1,14,1,18,2,8,2,10,4,8,5,10,4,8,5,10,5,8,1,10,2,8,2,10,4,4,2,18,2,4,2,19,14,4,32,19,3,4,2,18,10,15,1,18,1,8,2,10,1,8,9,10,10,8,5,18,1,8,6,10,49,8,6,18,1,8,1,10,2,8,1,18,2,8,1,10,38,8,1,10,5,8,2,10,19,8,5,10,16,8,1,18,2,8,7,10,2,8,1,18,1,8,1,18,1,15,1,14,1,15,2,14,1,18,1,8,1,10,1,8,2,18,2,8,3,15,5,18,1,8,14,15,6,8,19,15,2,8,5,18,1,15,4,18,4,8,11,15,2,8,6,15,13,7,5,14,3,18,1,4,3,19,10,4,304,18,2,14,3,15,5,14,2,15,3,8,9,15,6,14,14,16,2,14,3,18,3,4,60,19,4,18,1,3,7,14,11,15,8,8,3,15,2,14,2,15,2,8,1,9,2,8,2,18,1,3,3,18,1,3,6,18,2,3,4,18,1,4,7,18,1,3,8,18,2,3,4,14,4,3,9,18,1,4,1,19,4,4,8,3,1,16,1,3,3,16,10,3,1,4,33,18,1,3,1,16,23,3,4,19,1,4,3,19,2,4,2,3,2,4,9,18,1,3,1,16,26,3,1,19,1,4,11,3,1,16,134,3,1,18,1,4,6,3,3,4,295,19,1,4,1,19,9,4,8,18,1,3,3,14,1,10,3,14,1,3,1,16,5,3,3,16,2,3,1,4,5,18,1,19,3,4,1,3,4,18,1,4,3,3,4,18,1,19,2,4,1,3,5,18,2,3,5,16,306,3,7,4,568,},
{4,479,10,3,8,2,18,2,8,4,18,4,8,1,18,12,8,2,10,10,8,7,10,3,8,1,18,3,9,1,10,3,18,3,4,6,19,10,4,36,18,13,8,1,10,3,8,2,10,14,8,5,18,4,8,5,10,49,8,2,10,2,8,7,18,3,10,37,8,1,10,12,8,2,10,8,8,2,10,4,8,3,10,13,8,2,10,1,8,2,18,3,8,12,18,1,15,3,14,1,18,1,8,1,10,1,8,2,18,2,8,3,15,4,18,1,8,6,15,2,8,6,15,6,8,20,15,2,18,1,8,5,18,1,8,5,15,2,18,1,8,8,15,1,8,10,15,12,7,4,15,1,14,3,18,2,4,3,19,1,4,1,19,7,4,304,18,1,3,1,14,3,15,3,8,2,15,1,14,1,15,2,8,10,15,5,14,15,16,2,14,1,15,2,18,1,3,1,18,1,4,60,19,4,4,1,18,1,3,3,18,1,3,1,14,2,15,4,14,8,15,4,14,2,15,2,8,3,15,5,8,1,10,1,8,1,18,1,14,1,3,2,18,1,4,2,18,5,4,2,18,3,4,11,18,6,4,3,18,2,3,5,16,3,3,4,18,3,4,2,19,4,4,8,3,5,16,9,3,1,4,35,3,1,16,23,3,2,16,1,3,2,4,1,19,4,4,2,3,2,4,8,3,2,16,28,19,1,4,11,16,135,3,1,18,1,4,311,19,4,4,8,3,3,14,1,9,1,10,4,18,2,3,1,16,3,3,1,4,2,3,1,16,2,3,2,18,1,4,3,19,3,4,1,18,1,3,3,18,1,4,4,18,1,3,1,18,1,4,1,19,2,4,1,3,1,16,2,3,1,4,4,18,1,3,1,16,308,3,1,4,2,18,1,3,3,4,568,},
{4,475,18,3,4,1,10,3,8,5,10,9,8,8,18,3,8,3,10,10,8,7,10,2,8,1,18,1,3,2,18,1,9,1,10,2,18,3,4,6,19,10,4,36,10,1,8,2,18,8,8,2,10,4,8,1,10,7,8,12,18,4,8,6,10,49,8,1,10,4,8,7,18,2,10,36,8,2,10,13,8,1,10,5,8,5,10,4,8,2,10,14,18,2,8,1,10,1,8,8,10,2,8,6,18,3,15,1,14,1,15,1,8,1,10,1,8,2,18,2,8,2,18,1,15,4,8,6,18,1,15,7,8,27,18,1,15,1,18,1,8,12,18,2,8,7,15,2,8,7,18,2,15,13,7,5,15,1,14,2,15,1,18,2,4,6,19,4,4,305,18,1,14,1,15,6,8,2,15,3,8,10,15,5,14,8,15,1,14,7,16,1,17,1,14,1,8,2,18,1,14,1,18,2,4,1,18,2,3,1,18,1,4,5,19,1,18,1,4,47,19,4,4,2,18,1,3,4,14,2,18,3,15,1,14,6,15,6,14,3,15,2,8,3,15,5,8,1,18,2,3,3,4,35,18,1,3,3,16,2,3,4,18,1,4,5,19,5,4,8,18,1,3,5,16,6,3,2,18,1,4,35,3,1,16,9,3,1,16,14,3,1,16,3,3,1,19,4,4,2,3,2,4,7,3,1,16,30,4,12,3,1,16,134,3,2,18,1,4,310,19,4,4,8,18,1,3,1,18,2,8,1,9,2,10,4,18,1,16,3,3,1,4,2,18,1,3,1,16,3,3,1,18,1,4,1,19,5,4,1,3,2,18,1,4,9,19,1,4,1,18,1,16,3,3,1,4,5,3,1,16,3,3,3,16,302,3,1,4,3,3,2,4,569,},
{4,474,18,5,10,18,8,2,10,5,8,8,10,5,8,2,10,7,8,2,10,1,8,1,14,1,3,2,14,1,18,1,8,3,18,2,4,7,19,9,4,36,10,1,8,12,10,3,8,2,10,6,8,5,18,3,8,15,10,56,8,1,18,2,8,2,18,2,10,36,8,2,10,9,8,1,10,8,8,3,10,1,8,1,10,4,8,2,10,14,8,1,18,2,8,1,10,3,8,4,10,4,8,4,9,1,8,2,18,2,14,2,18,2,8,4,18,1,8,1,18,2,15,3,18,1,8,5,18,1,15,2,14,3,15,3,8,27,18,4,8,5,10,3,8,3,18,1,8,7,18,1,8,9,18,4,15,10,7,8,14,1,15,1,18,2,4,314,18,2,14,1,15,6,8,3,15,1,8,10,15,3,14,10,15,4,14,7,15,1,8,2,15,1,14,1,18,5,3,1,18,1,4,4,18,1,3,4,18,1,3,3,18,1,4,40,19,5,4,1,18,1,3,4,18,1,14,1,15,1,18,1,15,1,14,6,15,2,8,1,15,6,14,4,15,2,18,9,3,1,18,1,4,3,19,5,4,21,19,3,4,4,18,1,3,6,18,1,4,6,19,6,4,10,3,7,16,1,3,2,18,1,4,37,3,1,16,9,3,2,16,13,3,1,16,3,3,1,4,2,19,2,4,10,3,2,16,29,3,1,4,12,3,1,16,136,3,1,18,1,4,309,19,6,4,8,10,1,18,1,3,2,18,1,9,1,10,2,9,1,3,2,16,3,3,1,4,3,16,4,3,1,18,1,4,1,19,5,4,1,18,1,4,4,19,2,4,6,3,1,16,2,3,1,19,3,4,2,18,1,3,1,16,2,3,1,19,1,4,1,3,1,16,303,3,3,18,1,4,570,},
{4,474,18,5,10,30,8,3,10,4,8,3,10,7,8,2,10,1,8,1,14,1,3,2,14,2,18,6,4,10,19,1,4,1,19,2,4,36,18,1,8,9,10,4,8,13,18,8,8,6,10,5,8,2,10,56,8,5,18,2,10,46,8,3,10,7,8,3,10,5,8,2,10,15,8,4,10,5,8,2,10,4,8,7,18,1,15,1,14,2,15,1,18,2,8,4,18,8,8,1,18,2,15,10,8,22,18,1,8,6,18,1,8,5,10,1,8,24,18,4,15,5,8,3,15,2,7,9,14,1,15,1,18,8,4,300,18,2,4,2,18,5,15,7,8,10,15,6,14,5,15,11,14,5,7,1,15,1,8,2,15,3,14,1,15,1,18,2,3,1,18,1,4,3,3,12,18,1,4,38,19,6,4,1,3,4,18,1,14,2,15,2,14,6,15,1,8,2,15,7,14,5,15,2,14,1,3,4,18,1,4,5,19,6,4,20,19,8,4,2,18,4,4,8,19,5,4,12,3,6,18,2,4,39,3,1,16,8,3,3,16,18,3,1,4,13,3,1,16,31,18,1,4,11,18,1,3,2,16,135,3,1,18,1,4,308,19,7,4,7,10,1,9,1,3,3,18,1,10,2,18,1,3,7,4,2,3,1,16,2,3,2,4,1,19,6,4,3,19,5,4,5,18,1,3,1,16,2,3,1,19,3,4,2,18,1,3,4,4,2,3,1,16,305,3,2,18,1,4,569,},
{4,474,10,27,8,3,10,6,8,2,10,12,8,4,10,1,8,1,3,2,18,3,14,1,18,8,10,5,4,41,18,3,8,9,10,2,8,12,18,10,8,4,10,8,8,1,10,55,8,6,18,1,8,1,10,34,8,1,10,4,8,1,10,5,8,3,10,9,8,3,10,4,8,2,10,15,8,7,10,2,8,4,10,2,8,4,18,2,8,1,18,1,14,2,15,1,14,2,15,1,18,1,9,1,10,1,9,1,8,7,18,1,15,1,14,4,15,1,8,29,18,1,8,37,18,5,15,2,18,2,8,3,15,2,7,9,14,4,18,8,4,10,19,4,4,279,19,3,4,2,18,1,3,2,18,3,3,1,14,1,18,1,8,1,15,8,8,6,15,8,14,4,15,2,8,2,15,7,14,5,7,2,14,2,15,1,18,1,15,1,14,1,3,3,18,2,4,3,3,17,4,35,19,6,4,1,18,1,3,5,14,1,15,2,14,2,15,3,14,1,15,4,14,2,15,5,14,5,3,6,4,6,19,6,4,20,19,11,4,30,18,1,3,1,18,1,4,1,19,4,4,37,3,1,16,7,3,2,18,1,3,1,16,17,3,2,4,13,3,1,16,31,3,1,4,13,3,2,16,90,3,3,16,42,3,1,4,308,19,8,4,6,10,1,18,1,3,3,18,1,9,2,18,2,9,2,18,1,3,6,18,1,3,1,18,1,4,1,19,8,4,1,19,6,4,2,10,2,18,1,3,2,16,2,3,1,19,2,4,5,18,1,19,1,4,3,3,1,16,307,3,2,19,1,4,567,},
{4,461,10,2,18,4,10,35,8,2,10,6,8,3,10,8,8,5,10,2,8,1,18,1,3,2,18,1,8,1,18,9,9,1,10,6,4,40,18,3,8,2,10,3,8,19,18,8,8,4,10,9,8,1,10,27,8,3,10,20,8,2,10,3,8,1,18,1,8,6,10,9,8,3,10,22,8,2,10,3,8,1,10,5,8,2,10,11,8,1,10,25,8,4,10,2,8,8,18,1,8,4,18,2,15,3,18,2,8,1,10,3,8,4,9,1,8,2,15,1,14,4,15,1,18,1,8,9,15,3,8,24,9,1,8,8,18,2,8,2,10,3,8,18,18,1,15,2,18,2,15,1,8,3,15,4,7,8,15,1,14,2,15,2,18,2,3,3,18,3,4,8,19,5,4,276,19,5,4,3,18,1,3,3,18,1,14,2,15,1,8,1,15,8,8,5,15,10,14,3,15,1,8,3,15,6,14,6,7,1,15,1,14,2,15,3,14,1,3,3,18,1,4,4,3,13,16,3,3,1,18,1,4,34,19,6,4,3,18,1,3,4,14,1,15,1,14,1,15,8,14,5,15,2,14,2,3,9,18,1,4,6,19,3,4,23,19,12,4,32,19,6,4,36,3,1,16,7,3,4,16,15,3,4,4,12,3,2,16,32,18,1,4,13,3,1,16,92,3,1,16,4,3,3,16,35,3,1,4,308,19,8,4,5,18,3,3,3,18,1,9,2,18,2,10,3,18,1,3,1,16,2,3,1,18,1,10,2,4,2,19,6,4,4,19,5,4,2,10,1,18,2,3,4,4,1,19,2,18,1,3,1,4,5,19,3,3,1,16,309,3,1,4,567,},
{4,460,10,3,18,4,10,30,8,1,10,11,8,4,10,7,8,5,10,3,8,1,18,1,14,2,15,2,18,1,8,3,18,3,8,1,9,1,10,8,4,5,19,3,4,31,18,1,8,3,10,3,8,11,18,1,15,2,8,7,18,5,8,5,10,10,8,2,10,25,18,1,3,3,18,1,8,1,10,15,8,2,10,6,8,1,18,5,8,2,10,5,8,6,10,23,8,1,10,49,8,3,10,3,8,7,18,2,8,1,9,1,10,1,9,1,8,2,18,1,15,1,18,1,8,1,10,5,8,2,18,1,8,1,9,2,8,1,15,1,14,2,3,1,14,1,18,1,8,1,18,2,8,1,15,3,8,2,15,3,8,5,10,1,8,1,15,1,14,1,15,1,8,1,15,2,18,2,8,4,10,1,8,1,18,1,15,1,18,1,8,1,10,2,8,1,18,3,8,1,10,1,9,1,8,4,10,1,8,8,18,5,8,7,18,1,15,1,18,3,15,1,18,1,8,2,15,2,14,1,7,9,15,1,8,5,18,10,4,7,19,3,4,276,19,4,4,4,18,1,3,2,14,1,15,1,14,1,15,2,8,3,15,6,8,2,15,13,14,3,15,1,8,2,15,2,14,2,15,2,14,7,15,5,14,6,18,2,4,3,18,1,3,11,14,1,3,2,16,1,3,2,4,35,19,8,4,1,18,1,3,5,14,1,18,1,14,2,15,2,14,4,3,5,14,1,3,6,18,1,4,5,19,1,4,33,19,2,4,3,19,4,4,31,19,8,4,36,3,1,16,7,3,4,16,15,3,1,4,14,3,2,16,32,3,1,18,1,4,13,3,1,16,39,3,2,16,25,3,2,16,21,3,1,16,6,3,2,18,1,3,1,16,35,3,1,4,308,19,10,4,3,18,2,3,3,18,1,10,3,9,1,18,2,9,1,10,1,9,1,18,1,3,1,16,2,18,1,10,1,8,1,18,1,4,1,19,5,4,1,18,1,3,2,4,2,19,4,4,2,18,1,3,5,4,1,19,2,4,1,3,3,4,2,19,4,4,1,3,1,16,309,3,2,4,566,},
{4,451,18,4,4,5,10,2,8,2,18,3,8,1,10,3,8,2,10,10,8,2,10,11,8,2,10,11,8,4,10,5,8,6,10,4,8,1,15,2,14,2,15,1,8,5,18,1,8,2,9,1,10,2,8,6,18,1,4,3,19,5,4,29,18,2,8,3,10,2,8,8,15,2,8,2,15,3,8,8,18,3,8,3,10,12,8,3,10,25,18,1,16,2,3,1,18,1,8,1,10,14,8,4,10,4,8,2,18,5,8,1,10,6,8,4,10,75,8,3,10,3,8,8,18,1,9,1,10,2,9,4,18,2,10,7,8,1,18,2,8,1,9,1,8,1,18,1,15,1,14,2,15,1,8,2,18,1,15,5,8,2,15,1,14,1,15,1,8,3,9,1,10,2,8,1,14,2,18,1,8,1,18,4,8,4,10,1,8,1,15,2,18,1,8,3,18,4,8,1,9,2,8,14,18,4,8,5,10,1,8,1,18,1,15,1,18,1,8,1,18,1,15,3,8,2,15,2,7,9,8,6,15,1,18,13,4,3,19,3,4,275,19,4,4,5,18,1,3,2,14,1,15,4,8,3,15,17,14,3,15,1,14,3,15,3,14,11,15,7,14,3,18,1,15,1,14,2,18,5,3,3,16,7,14,3,3,2,16,1,3,1,18,1,4,36,19,7,4,1,18,3,3,6,14,2,3,15,18,1,4,4,19,4,4,72,19,7,4,37,3,1,16,7,3,2,16,16,3,1,18,1,4,14,3,1,16,34,3,1,4,13,18,1,16,37,3,4,16,25,3,2,16,20,3,1,16,7,3,2,18,1,3,1,16,35,3,1,4,309,19,3,4,2,19,6,4,2,18,4,10,4,18,4,9,1,10,1,9,1,18,1,3,2,18,1,8,1,18,2,4,2,19,4,4,1,18,1,3,2,4,4,19,2,4,2,18,1,3,4,18,1,4,1,19,1,4,2,3,3,4,1,19,4,4,1,19,1,3,1,16,3,3,1,16,305,3,2,4,566,},
{4,451,9,2,10,3,4,2,18,2,10,3,8,1,18,3,8,1,10,3,8,2,10,9,8,3,10,14,8,5,10,5,8,14,10,5,8,1,14,4,15,1,8,4,18,4,8,6,18,4,4,3,19,8,4,18,19,3,4,4,18,2,8,13,18,1,15,3,18,4,8,8,18,1,8,4,10,11,8,5,10,25,18,1,3,2,18,1,10,16,8,4,10,4,8,2,18,4,8,2,10,70,8,2,10,9,8,1,10,3,8,4,10,2,8,9,9,1,10,2,9,2,10,1,9,1,18,2,10,3,9,2,10,2,9,1,18,2,8,4,18,2,8,2,9,1,8,1,15,1,14,3,15,1,8,1,15,1,14,2,15,1,18,2,15,1,18,1,10,2,8,1,18,1,15,2,8,12,14,1,15,1,9,1,10,1,18,4,8,3,18,3,8,2,10,1,8,2,18,1,8,18,18,2,8,3,15,4,8,4,7,1,8,4,7,3,8,4,15,3,18,14,4,2,19,3,4,275,19,2,4,2,18,2,4,3,18,1,3,2,14,1,15,23,14,8,15,2,14,11,15,4,14,1,15,3,14,2,15,1,18,2,15,1,14,1,3,2,18,2,14,2,3,3,16,6,3,8,4,37,19,7,4,3,18,3,3,11,18,6,4,7,19,5,4,116,3,1,16,24,3,2,4,14,19,1,3,1,16,34,3,1,4,14,3,1,16,37,3,1,16,48,3,2,16,9,3,4,16,2,3,1,16,30,3,1,4,316,19,5,4,7,10,2,18,1,3,2,18,1,9,1,10,2,9,1,15,1,3,1,18,4,4,2,19,5,4,11,18,1,3,4,18,1,4,4,3,2,18,1,4,1,19,2,4,1,3,3,16,3,3,3,16,2,3,3,16,299,3,2,4,566,},
{4,448,10,2,8,2,10,5,18,1,8,2,10,3,8,10,10,6,8,4,10,9,8,4,10,2,8,6,10,4,8,14,10,5,8,2,14,3,15,2,8,4,18,1,15,3,18,1,8,6,18,4,4,2,19,9,4,16,19,4,4,4,18,1,8,11,15,2,18,2,15,4,18,1,8,14,10,12,8,4,10,26,8,1,18,2,8,1,10,16,8,4,10,5,8,5,10,72,8,2,10,9,8,1,10,4,8,4,10,1,8,4,10,4,9,2,10,2,9,1,8,1,10,1,9,1,18,2,9,1,10,1,8,2,9,2,10,1,8,1,18,3,8,1,9,2,8,2,10,3,8,1,15,1,14,2,15,1,8,2,15,1,14,1,15,2,8,2,15,2,10,2,8,2,18,1,8,2,10,1,8,9,18,1,14,1,18,1,10,2,18,1,14,1,18,1,8,1,9,1,10,1,8,1,18,3,8,1,10,1,8,2,18,3,8,23,15,1,14,1,15,1,8,16,15,4,18,4,15,3,18,7,4,1,19,4,4,277,18,1,3,2,18,4,3,1,14,1,15,8,14,1,15,15,14,19,15,3,8,1,15,1,14,2,15,4,14,1,15,1,18,2,15,1,14,1,3,3,14,4,3,1,16,10,3,5,18,1,4,37,19,7,4,5,18,2,3,1,18,2,3,3,18,3,4,12,19,6,4,117,3,3,16,4,3,7,18,1,3,9,18,1,4,16,3,2,16,33,3,1,4,14,3,1,16,86,3,1,16,11,3,2,18,1,3,2,16,31,3,1,4,317,19,4,4,7,10,1,18,1,3,3,14,1,18,1,10,3,9,1,18,5,4,3,19,5,4,7,19,2,4,2,18,4,4,5,3,2,18,1,4,1,19,1,4,1,3,2,16,4,3,2,4,2,18,1,3,1,18,2,3,2,16,299,3,1,19,1,4,565,},
{4,448,8,3,10,4,8,6,10,3,8,9,10,3,8,7,10,4,8,2,10,2,8,6,10,1,8,6,10,3,8,4,10,4,8,6,10,6,8,2,14,4,15,1,8,4,15,5,18,1,8,3,10,2,8,1,18,3,4,2,19,9,4,12,19,7,4,5,18,1,8,12,18,8,8,13,10,44,8,2,10,19,8,1,10,6,8,4,10,89,8,4,10,10,9,1,10,1,9,1,8,2,10,1,9,1,18,2,9,2,8,2,9,2,8,1,18,4,8,1,10,2,8,2,10,2,8,2,15,2,18,1,8,5,15,2,8,4,10,2,8,5,10,1,8,6,18,2,8,2,18,2,10,2,18,2,8,1,10,3,8,3,10,3,8,1,18,4,8,2,10,4,8,14,9,1,10,1,9,1,18,1,14,1,18,1,15,3,8,13,15,4,18,3,15,8,18,3,4,1,19,4,4,276,18,1,3,4,18,2,14,2,15,4,14,1,15,1,14,4,15,2,8,1,15,12,14,6,15,1,14,12,15,2,8,2,15,1,14,2,15,4,14,1,15,3,14,1,3,1,16,2,14,5,16,12,3,5,4,38,19,6,4,28,19,5,4,121,19,1,3,4,18,1,4,10,19,1,4,22,19,1,3,1,16,32,3,1,4,14,18,1,3,1,16,74,3,1,16,16,3,3,16,4,3,1,18,1,3,2,16,30,3,2,4,316,19,5,4,7,18,1,3,5,14,1,18,1,9,2,15,1,18,1,10,4,4,14,19,5,4,5,19,3,4,2,18,1,4,4,3,1,16,4,3,2,4,8,3,1,16,299,3,2,4,565,},
{4,447,10,1,8,2,10,5,8,6,10,5,8,5,10,5,8,6,10,6,8,15,10,3,8,4,10,5,8,7,10,4,8,3,15,1,14,3,15,2,8,2,15,3,14,1,15,3,8,2,10,4,8,1,18,2,4,3,19,8,4,12,19,6,4,6,10,2,8,16,18,2,15,1,18,1,8,9,10,76,8,2,10,92,8,2,10,10,9,2,8,1,18,2,9,2,18,1,8,2,9,1,8,2,9,1,8,1,18,1,15,1,18,1,8,2,9,1,10,2,8,1,18,1,8,10,9,1,8,1,18,1,15,1,18,1,8,10,10,2,8,1,10,1,9,1,8,3,18,1,8,2,18,2,8,4,10,2,9,1,8,3,10,3,8,1,18,2,8,3,10,8,8,13,9,1,8,1,18,1,15,1,18,2,15,2,8,13,15,4,18,2,15,7,7,1,15,1,18,3,4,2,19,2,4,276,18,1,3,5,18,1,15,6,14,7,15,2,8,1,15,12,14,6,15,1,14,2,3,2,14,7,15,2,8,2,18,1,15,1,14,2,15,4,14,2,15,1,14,2,3,1,16,2,14,4,16,13,3,5,18,1,4,41,19,1,4,195,3,2,16,31,3,1,4,15,3,1,16,12,3,3,16,22,3,3,16,33,3,3,16,3,3,2,16,10,3,3,16,4,3,1,18,1,3,2,16,23,3,8,4,317,19,5,4,7,18,1,3,5,14,1,15,4,8,1,10,4,4,14,19,6,4,4,19,4,4,6,3,5,18,1,4,9,18,1,3,1,16,299,3,2,4,564,},
{4,447,10,1,8,3,10,4,8,5,10,6,8,5,10,9,8,1,10,8,8,1,10,1,8,3,15,2,8,6,10,3,8,5,10,4,8,15,15,2,14,2,15,6,14,1,15,3,18,1,8,2,10,5,18,3,4,2,19,11,4,9,19,5,4,6,10,3,8,2,10,2,8,2,10,3,8,8,18,1,15,2,8,8,10,93,8,1,10,38,8,1,10,50,9,2,8,1,18,2,8,2,18,2,9,1,10,1,8,2,10,1,9,1,18,1,15,1,18,1,8,2,10,3,18,1,15,1,18,1,8,4,10,2,8,3,10,2,15,1,14,1,15,1,8,13,10,1,9,1,8,3,18,1,8,4,18,2,8,1,10,2,8,1,18,3,8,1,9,1,10,1,8,1,18,3,8,1,10,10,8,5,10,5,8,1,15,1,14,1,18,2,15,1,18,1,8,2,15,1,8,15,15,2,8,2,18,1,15,1,8,2,15,6,18,3,4,277,18,1,3,8,18,2,15,4,14,8,15,15,14,17,15,6,14,3,15,4,14,4,3,1,16,3,14,3,17,1,16,4,17,3,16,6,3,6,4,237,3,2,16,32,19,1,4,14,18,1,16,12,3,2,16,22,3,1,18,2,3,2,16,31,3,4,16,1,3,4,16,16,3,1,18,3,3,1,16,5,3,2,16,14,3,5,4,322,19,4,4,8,18,1,14,1,3,3,14,1,15,2,8,5,10,2,9,1,18,2,4,12,19,4,4,2,18,1,3,2,18,2,4,1,19,4,4,4,3,3,4,12,18,1,3,4,16,296,3,2,4,564,},
{4,447,10,1,8,2,10,5,8,5,10,6,8,5,10,19,8,5,15,2,18,1,8,2,10,5,8,5,10,3,8,17,15,2,7,1,15,10,8,3,10,4,8,2,18,2,4,2,19,14,4,6,19,5,4,5,10,8,8,2,10,4,8,7,18,1,15,2,8,7,10,145,8,2,10,37,9,2,8,1,18,3,8,3,10,5,9,1,18,1,15,1,18,1,8,1,9,1,10,2,9,1,8,1,18,2,8,2,10,4,8,3,9,1,8,1,15,1,14,1,15,1,18,4,8,8,9,1,10,1,9,1,8,3,18,2,8,3,18,2,10,2,8,1,18,1,14,2,18,1,8,1,9,1,8,1,18,3,8,1,10,10,8,4,10,1,8,4,10,2,8,1,18,1,14,2,15,1,18,2,8,2,15,2,8,18,18,1,15,1,8,1,15,3,8,1,15,1,8,1,15,2,18,2,4,276,18,1,3,8,14,1,15,5,14,9,15,9,14,2,15,4,14,12,15,9,14,5,15,3,14,3,3,1,16,4,3,1,14,3,16,4,17,4,16,5,17,1,14,1,3,5,18,1,4,237,3,3,16,30,19,1,4,14,19,1,16,12,3,2,16,15,3,4,16,2,3,2,4,2,18,1,3,1,16,31,3,2,16,3,3,4,16,14,3,3,4,3,18,1,3,1,16,4,3,2,16,12,3,3,18,1,4,1,18,1,4,323,19,4,4,8,18,3,15,1,18,2,15,2,18,1,8,5,10,1,8,1,18,3,4,11,19,4,4,1,3,2,16,1,3,3,18,1,19,4,4,5,18,1,4,11,18,1,3,3,18,1,4,2,18,1,3,1,16,294,3,2,4,564,},
{4,445,10,3,8,1,10,7,8,4,10,6,8,5,10,18,8,6,18,3,8,2,10,4,8,6,10,2,8,18,7,4,15,8,8,10,18,1,10,1,4,2,19,14,4,6,19,3,4,5,10,10,8,2,10,4,8,7,18,3,8,5,10,42,8,1,10,27,8,3,10,14,8,2,10,92,8,1,10,6,8,1,18,3,8,2,10,7,8,5,10,1,8,6,10,4,9,1,8,1,9,1,8,2,18,1,15,2,18,2,15,1,18,1,8,1,9,1,8,1,18,1,8,5,10,2,8,3,18,5,8,1,10,4,8,1,18,3,8,1,9,1,8,2,18,1,8,1,10,12,9,4,10,1,18,1,14,2,18,1,8,1,10,3,8,1,18,3,8,1,18,2,14,1,15,1,8,18,15,2,8,1,7,4,8,1,7,2,15,1,18,2,4,275,18,1,3,5,14,2,3,1,14,4,15,3,14,3,15,2,14,4,15,3,14,2,15,2,14,19,15,7,8,1,15,1,14,5,15,3,14,4,16,5,14,4,17,1,16,2,17,2,14,1,17,2,16,3,17,3,14,3,3,4,4,240,3,1,16,29,18,1,4,14,3,1,16,11,3,3,16,14,3,5,16,3,3,1,4,3,3,1,16,31,3,2,16,4,3,3,16,1,3,1,16,12,3,3,4,4,3,2,16,4,3,2,16,10,3,2,19,1,4,327,19,10,4,2,18,4,15,1,18,1,15,5,8,1,10,4,18,3,4,13,19,2,4,1,3,2,16,3,3,2,19,3,4,12,18,1,3,8,18,1,4,5,3,1,16,288,3,7,4,564,},
{4,445,10,11,8,4,10,6,8,5,10,11,8,17,10,4,8,31,7,1,15,8,8,5,15,2,18,2,8,1,10,1,4,3,19,13,4,13,10,10,8,4,10,3,8,7,18,1,15,1,18,1,8,5,10,41,8,5,10,24,8,3,10,14,8,3,10,90,8,3,10,3,9,1,10,1,8,5,9,1,10,9,8,6,10,2,8,1,10,4,9,1,8,2,9,2,18,4,8,1,18,1,14,1,18,1,9,1,10,1,9,1,8,6,10,1,9,1,8,2,18,6,9,1,10,4,8,1,18,4,8,4,10,15,9,1,10,2,8,1,14,2,18,1,8,2,10,2,9,1,18,2,9,2,18,2,15,2,8,17,15,4,7,4,8,1,7,3,18,3,4,273,18,2,3,4,14,9,15,2,14,2,15,3,14,29,15,8,8,1,15,1,14,4,15,2,14,6,16,5,14,4,17,10,14,3,17,1,14,4,3,3,18,1,4,240,3,5,16,24,18,1,4,14,3,1,16,10,3,3,16,15,3,6,16,2,3,1,4,3,3,1,16,6,3,1,16,19,3,2,16,3,3,2,16,5,3,3,16,13,3,3,4,2,19,2,4,1,18,1,3,2,16,2,3,4,16,4,3,5,4,330,19,9,4,2,18,4,8,1,18,1,15,5,8,3,10,1,8,1,18,3,4,13,19,2,4,1,19,1,3,1,16,4,3,1,19,2,4,13,3,8,18,1,4,6,18,1,3,2,16,287,3,1,18,1,3,2,18,1,4,565,},
{4,444,10,13,8,3,10,6,8,5,10,4,8,3,10,3,8,17,10,4,8,4,10,4,8,28,15,6,8,3,7,1,14,3,18,2,8,1,10,1,4,4,19,14,4,6,10,14,8,5,10,1,8,8,18,1,8,8,10,25,8,1,10,13,8,2,18,2,8,2,10,41,8,2,10,71,8,1,10,18,8,4,10,3,9,3,8,2,9,2,10,6,9,2,10,2,8,6,10,2,8,1,10,4,8,1,18,2,8,3,18,3,8,1,18,3,9,1,10,2,9,1,8,2,18,1,8,2,9,1,8,4,18,5,9,1,10,3,8,1,18,7,8,1,9,1,10,16,9,3,8,5,18,1,8,2,18,2,8,1,9,1,18,2,8,6,15,1,8,12,15,4,7,4,8,1,7,3,18,3,4,273,18,2,3,4,14,10,15,1,14,2,15,4,14,16,15,2,14,7,15,13,14,4,15,1,14,7,16,5,14,5,17,7,14,10,3,4,4,244,3,1,16,24,19,1,4,15,3,1,16,8,3,3,16,17,3,5,16,2,3,1,18,1,4,2,3,1,16,6,3,1,16,19,3,2,16,4,3,2,16,4,3,3,16,3,3,1,16,9,3,3,4,2,19,4,4,1,19,1,3,3,18,2,3,7,18,1,4,333,19,7,4,2,18,5,8,2,18,1,15,5,14,3,3,3,18,1,4,13,19,4,3,6,4,1,19,2,4,27,18,1,3,3,16,262,3,2,16,15,3,3,16,4,3,2,4,568,},
{4,443,10,16,8,4,10,3,8,5,10,3,8,4,10,2,8,11,18,1,8,4,10,5,8,5,10,5,8,11,7,6,8,11,15,3,14,1,15,1,8,2,7,1,14,3,18,5,10,1,4,3,19,15,4,4,10,10,8,1,10,4,8,24,10,24,8,3,10,9,8,5,18,1,8,2,10,132,8,5,10,2,8,2,9,5,10,5,9,1,8,11,10,3,8,1,10,2,8,2,18,1,15,2,18,1,8,2,18,2,8,2,18,1,8,2,10,3,8,2,18,1,8,2,9,1,8,6,18,2,8,1,9,1,10,2,8,1,18,1,8,3,18,4,9,1,10,2,9,1,8,1,9,1,10,12,9,2,10,3,8,2,18,6,8,1,9,1,18,1,8,1,9,1,10,1,8,3,15,3,8,10,18,1,15,4,7,4,8,2,7,2,14,1,18,2,4,273,18,2,14,7,15,4,14,3,15,1,14,1,15,5,14,15,15,23,14,2,15,3,14,7,16,5,14,2,17,1,14,2,17,2,16,2,17,2,14,11,3,4,18,1,4,244,3,4,16,19,3,1,4,16,18,1,3,1,16,7,3,1,18,2,3,1,16,18,3,6,4,1,19,2,3,1,16,27,3,1,16,4,3,3,16,3,3,1,18,1,3,1,16,3,3,2,16,4,3,6,18,1,4,2,19,5,4,1,18,1,3,1,4,4,18,2,4,338,19,6,4,3,18,5,8,2,15,2,14,5,3,5,18,1,4,13,19,4,4,1,19,1,3,3,18,1,4,1,19,2,4,28,18,1,4,2,3,1,16,261,3,2,16,14,3,6,16,2,3,2,18,1,4,567,},
{4,443,10,15,8,6,10,3,8,3,10,4,8,4,10,2,8,10,18,2,8,4,10,5,8,6,10,2,8,9,15,2,7,9,8,11,15,2,14,1,15,2,8,1,7,2,15,1,18,7,4,3,19,15,4,3,8,2,10,14,8,24,10,24,8,4,10,8,8,8,10,45,8,4,10,82,8,5,10,2,8,5,9,2,10,1,9,1,8,16,10,2,8,6,18,1,14,2,15,1,8,1,9,1,18,4,8,2,18,1,8,1,10,2,8,2,18,1,8,2,9,1,8,4,9,1,8,10,10,2,8,1,18,1,8,1,9,1,10,3,8,1,18,1,9,1,10,11,9,2,18,1,8,1,10,2,8,2,18,2,8,4,9,2,18,2,8,1,9,1,8,3,18,1,15,2,8,4,18,6,15,4,7,4,8,4,7,1,18,3,4,273,18,2,14,6,15,2,8,2,15,1,14,5,15,4,14,3,15,1,14,11,15,23,14,3,15,2,14,8,17,1,16,3,17,1,14,5,17,2,16,2,3,1,14,5,3,1,17,2,6,1,7,1,14,3,3,3,18,1,4,212,19,1,18,1,4,28,19,1,4,1,18,1,3,1,4,1,19,1,3,1,16,18,3,1,4,17,19,1,3,1,16,6,3,1,18,1,4,2,3,2,16,18,3,1,4,2,19,4,3,1,16,27,3,1,16,4,3,3,16,3,3,1,18,1,3,1,16,3,3,1,16,4,3,1,18,1,19,1,4,7,19,6,4,346,19,6,4,3,18,6,15,2,14,5,15,1,18,5,4,14,19,6,4,19,18,1,4,19,3,1,16,260,3,2,16,10,3,16,19,1,4,565,},
{4,443,10,16,8,5,10,10,8,3,10,3,8,3,10,3,8,2,18,3,8,25,7,2,15,1,7,10,8,6,7,3,8,4,7,5,15,2,18,7,4,3,19,15,4,2,18,1,8,2,10,17,8,13,10,23,8,8,10,20,8,1,10,45,8,5,10,3,8,3,10,20,8,1,10,54,8,2,10,4,8,3,9,1,8,2,9,4,8,2,15,3,18,1,8,10,10,3,8,3,10,1,8,1,18,1,14,2,18,1,9,1,10,1,8,1,18,1,8,3,18,3,9,1,10,1,9,1,8,3,10,2,8,3,9,1,10,2,8,9,10,9,8,2,10,4,9,2,8,1,9,5,18,4,8,2,15,2,8,6,18,4,8,1,9,2,8,2,18,1,8,1,18,1,8,4,18,7,15,3,7,4,8,5,18,2,4,272,18,3,15,1,14,1,7,1,14,4,15,1,8,3,15,2,14,3,15,4,14,4,15,1,14,11,15,22,14,2,15,4,14,28,3,1,14,2,6,2,14,1,7,1,14,2,3,2,18,1,4,212,19,2,4,28,19,2,4,2,19,2,18,1,16,18,3,1,4,18,18,1,3,3,16,3,3,1,18,1,4,3,3,1,16,18,3,1,4,1,19,5,3,1,16,25,3,3,16,4,3,4,16,2,3,1,4,2,3,1,16,1,3,6,18,1,4,9,19,6,4,347,19,5,4,4,18,5,15,2,14,5,8,1,10,1,18,4,4,15,19,5,4,18,3,2,19,1,4,19,3,3,16,257,3,1,16,10,3,6,18,2,3,8,18,1,19,1,4,565,},
{4,38,19,1,4,404,10,16,8,5,10,10,8,3,10,3,8,2,10,5,8,1,18,3,8,3,10,1,8,2,18,2,8,7,18,5,8,2,15,3,7,1,15,2,7,1,8,8,7,1,8,5,7,4,8,6,7,4,15,2,18,7,4,3,19,12,4,4,18,1,8,2,10,17,8,11,10,25,8,4,10,24,8,2,10,2,8,2,10,3,8,1,10,20,8,3,10,13,8,5,10,3,8,3,10,81,8,2,10,2,8,3,9,1,10,1,9,1,8,1,18,1,14,3,18,1,8,1,10,2,8,1,10,1,8,4,10,5,8,2,10,1,8,1,15,2,18,1,8,1,9,1,10,4,8,1,18,2,8,3,9,1,10,2,8,2,10,2,8,3,10,3,9,1,8,7,18,2,8,1,10,4,8,1,18,2,8,1,10,5,9,1,18,10,14,1,3,2,14,1,15,1,10,3,8,1,18,6,9,1,10,2,8,10,18,4,8,1,18,1,15,3,7,3,8,6,18,2,4,3,19,2,4,266,19,1,3,1,18,1,15,1,14,3,15,11,14,2,15,4,14,4,15,1,14,4,15,1,14,7,15,17,8,1,15,2,14,3,15,3,14,4,15,2,14,2,17,1,14,17,3,2,14,3,6,2,17,1,6,1,14,3,3,2,18,1,4,242,19,5,4,2,3,1,16,17,3,1,4,21,18,1,3,1,16,3,18,1,4,3,3,1,16,17,3,1,4,1,19,5,4,1,3,1,16,25,18,1,4,1,3,1,16,5,3,2,18,1,3,3,4,2,3,2,4,3,18,1,4,366,19,5,4,5,18,4,15,3,18,1,15,1,18,1,10,1,18,4,4,39,3,3,4,20,18,2,3,1,16,254,3,3,16,4,3,2,16,4,3,6,18,1,4,3,18,1,3,2,18,1,4,569,},
{4,37,19,1,4,405,10,15,8,6,10,16,8,2,10,5,8,7,10,1,8,10,18,1,15,1,14,2,15,1,18,1,15,1,8,6,15,1,8,15,7,2,15,1,7,1,8,6,15,1,7,2,15,3,18,8,4,3,19,10,4,3,18,3,8,3,10,17,8,4,10,1,8,5,10,57,8,2,10,18,8,3,10,4,8,2,10,15,8,1,10,4,8,4,10,63,8,1,10,18,8,1,10,2,9,2,10,3,9,1,8,1,18,1,14,2,15,1,8,1,10,6,8,3,10,9,8,1,18,1,8,1,10,6,8,1,18,2,8,1,9,1,8,2,10,2,9,2,10,2,8,4,10,2,8,7,18,3,8,1,10,3,8,1,18,3,8,1,10,5,9,2,8,2,18,4,3,5,14,2,8,1,10,3,18,2,3,4,18,1,9,1,10,1,9,1,8,10,18,4,8,2,15,3,7,3,8,6,18,3,4,2,19,3,4,266,3,1,14,4,15,18,14,4,15,2,14,2,15,2,14,7,15,17,8,1,15,2,14,3,15,3,14,4,15,2,14,4,15,3,14,7,15,4,14,2,3,1,14,5,6,1,17,1,14,4,3,2,18,2,4,242,19,4,4,2,18,1,3,2,16,10,3,5,18,1,4,23,3,3,4,4,3,1,16,4,3,5,16,3,3,5,18,1,4,1,19,4,4,2,3,1,16,20,3,3,16,1,3,1,4,2,3,1,16,2,3,4,18,1,4,2,18,2,4,375,19,5,4,7,18,6,4,45,3,2,19,1,4,22,18,1,3,1,16,252,3,2,16,13,3,3,16,1,3,2,4,3,18,1,3,1,18,1,4,570,},
{4,36,18,2,4,405,10,14,8,7,10,2,8,5,10,6,8,3,10,5,8,3,10,4,8,4,10,2,8,8,15,6,8,29,18,1,15,2,18,1,8,1,18,4,8,3,18,6,4,14,18,1,10,2,8,9,10,15,8,2,10,1,8,3,10,2,8,4,10,101,8,1,10,93,8,2,18,3,8,1,10,4,8,1,10,4,8,2,10,10,8,1,10,5,8,2,10,2,8,4,10,2,9,1,8,4,18,7,8,2,10,2,8,2,9,1,10,1,9,1,10,3,18,3,8,1,9,4,10,7,9,2,18,1,3,1,16,1,3,2,9,1,10,1,9,2,10,3,18,1,14,1,3,1,16,2,3,1,15,1,9,1,10,1,8,12,18,3,8,4,15,1,7,1,15,1,7,1,15,6,18,3,4,2,19,5,4,264,18,1,14,4,15,17,14,5,15,6,14,7,15,25,14,11,15,3,14,2,15,2,14,5,15,1,14,13,15,1,14,2,3,3,18,1,4,239,3,4,4,1,19,2,4,4,3,1,16,3,3,6,19,1,4,34,3,1,16,5,3,1,19,1,4,2,18,1,3,3,4,13,18,1,3,1,16,19,3,1,4,2,3,2,4,2,18,1,3,2,19,1,4,383,19,5,4,85,3,2,16,250,3,1,16,20,3,4,4,572,},
{4,36,19,1,4,406,10,7,8,2,10,5,8,3,15,1,8,11,10,6,8,2,10,4,8,3,10,5,8,4,10,3,8,11,15,2,8,8,18,1,8,20,15,3,18,1,8,1,18,3,8,5,18,1,15,1,18,16,8,1,10,4,8,14,10,13,8,2,10,2,8,4,10,195,8,5,10,4,8,3,10,3,8,2,10,5,8,3,10,7,8,3,10,2,8,10,18,7,8,2,9,1,10,2,8,2,10,4,9,1,8,1,18,2,8,3,18,3,8,1,9,1,10,7,18,1,3,1,16,1,3,1,18,1,10,7,18,1,14,1,16,3,3,1,18,1,9,1,8,1,15,1,14,1,8,1,9,1,10,1,8,8,18,1,15,1,8,5,7,1,15,7,18,4,4,2,19,6,4,261,18,3,14,3,15,17,14,5,15,7,14,12,15,1,14,2,15,15,14,4,7,2,14,6,7,4,14,2,15,3,14,14,3,1,14,7,3,2,18,1,4,219,3,3,4,16,18,1,3,1,16,3,3,1,19,1,4,5,18,1,3,3,18,1,4,38,19,1,3,1,16,5,3,1,18,1,4,4,3,2,4,15,18,1,3,8,16,2,3,10,4,412,19,5,4,15,18,3,4,49,18,1,3,1,16,255,3,1,16,4,3,2,16,11,3,1,4,572,},
{4,442,10,9,8,2,10,5,8,14,10,19,8,50,15,2,18,7,8,4,18,4,8,4,18,5,8,2,10,9,8,12,10,4,8,3,10,7,8,3,10,20,8,2,10,149,8,1,10,14,8,3,10,10,8,1,18,3,8,2,10,4,8,4,10,1,8,3,10,3,8,3,18,2,8,1,10,6,8,17,18,1,8,2,9,4,8,1,9,1,10,6,9,1,18,2,8,3,18,5,8,2,18,1,9,1,10,2,9,2,10,1,9,1,3,2,18,1,10,5,8,1,18,1,9,1,8,1,14,1,16,3,15,1,10,2,18,1,3,1,14,1,18,1,9,1,10,1,8,2,15,2,8,16,15,5,18,2,4,3,19,5,4,255,18,1,4,4,18,4,14,2,15,18,14,1,15,9,14,2,15,27,14,15,7,3,14,28,3,2,18,1,4,1,19,4,4,213,3,1,16,2,3,1,4,16,3,1,16,5,3,1,4,47,18,1,3,1,16,5,3,1,19,1,4,30,19,1,3,2,4,422,19,6,4,14,18,1,3,3,18,1,4,22,19,4,4,22,18,1,16,260,3,2,16,11,3,7,4,566,},
{4,396,18,4,10,3,4,39,10,9,8,2,10,6,8,9,10,3,8,5,10,5,8,1,10,8,8,4,10,2,8,27,10,5,8,14,15,2,18,5,8,5,18,3,8,6,18,3,8,2,10,11,8,12,10,3,8,3,10,8,8,1,10,143,8,2,10,41,8,3,10,10,8,1,18,4,8,2,10,4,8,8,10,4,8,1,18,3,8,1,10,5,8,19,9,1,10,3,9,1,8,4,10,5,9,1,18,2,8,1,9,1,8,1,18,5,8,2,18,2,9,2,18,1,8,1,10,2,18,2,10,6,18,4,3,2,16,1,3,1,10,2,15,1,3,3,18,1,9,1,10,1,8,1,18,1,15,3,8,16,15,3,18,4,4,3,19,4,4,254,18,1,3,2,18,1,4,1,18,2,15,4,14,1,15,5,14,2,15,20,14,3,15,16,14,3,15,8,14,15,15,2,14,30,3,1,18,1,4,2,19,4,4,211,3,1,16,3,3,1,4,16,3,1,16,6,3,1,4,46,3,7,4,457,19,6,4,15,18,1,3,1,18,2,4,21,19,6,4,22,3,1,16,259,3,2,16,16,3,2,18,1,4,565,},
{4,395,18,6,10,2,4,39,10,4,8,1,10,5,8,1,10,7,8,8,10,4,8,4,10,5,8,1,10,8,8,4,10,2,8,1,18,1,8,22,10,8,8,15,15,1,18,5,8,20,10,5,8,2,10,3,8,13,10,2,8,2,10,151,8,4,10,37,8,3,10,14,8,1,18,4,8,1,10,10,8,3,10,4,8,2,18,2,8,1,10,3,8,5,10,3,8,12,9,1,10,3,9,1,8,2,18,1,8,2,10,5,9,1,18,2,9,1,10,1,8,1,18,4,9,2,8,1,18,2,8,1,18,2,8,1,10,2,18,1,8,1,10,2,9,1,18,1,9,3,18,2,3,2,14,1,9,1,10,2,8,1,16,2,3,1,15,1,8,1,10,2,8,1,18,1,14,2,15,1,18,1,8,7,15,4,8,3,15,6,18,4,4,2,19,3,4,254,18,1,3,3,18,2,14,3,15,8,14,3,15,19,14,3,15,16,14,3,15,9,14,13,15,2,14,8,15,3,14,20,3,2,18,1,4,1,19,4,4,210,3,1,16,3,3,1,19,1,4,16,3,2,16,5,3,1,4,47,19,1,3,1,19,2,4,459,19,6,4,40,19,6,4,22,3,1,16,256,3,1,16,21,3,1,18,1,4,565,},
{4,34,18,1,4,360,18,7,10,2,4,38,10,4,8,1,10,14,8,6,10,4,8,4,10,15,8,23,10,1,8,5,10,5,8,9,18,3,8,7,15,1,18,5,8,22,10,2,8,20,10,6,8,3,10,73,8,3,10,10,8,2,10,57,8,4,10,36,8,4,10,13,8,3,18,2,8,2,10,11,8,2,10,5,8,3,10,3,8,1,18,1,15,2,8,1,10,6,8,2,9,1,8,6,9,2,10,1,9,1,8,1,18,4,8,3,10,5,8,2,9,2,8,1,18,3,8,1,10,3,9,1,8,1,18,3,8,1,10,2,9,1,10,3,18,3,9,2,18,1,3,3,14,1,10,2,9,1,3,1,16,2,3,1,8,1,9,1,10,2,8,1,18,1,15,3,18,1,8,8,15,3,8,2,15,7,18,2,3,3,4,1,19,3,4,255,18,1,3,3,14,1,3,1,14,3,15,6,14,5,15,55,14,5,15,4,14,7,15,3,7,2,14,4,7,1,14,3,17,1,6,1,14,10,3,2,18,1,19,4,4,210,3,1,16,2,3,1,19,1,4,18,3,7,4,511,19,4,4,41,19,6,4,14,19,3,4,5,3,4,16,275,3,1,4,566,},
{4,33,3,1,18,1,4,360,18,8,10,1,4,38,10,6,8,2,10,12,8,2,10,3,8,6,10,18,8,21,10,2,8,5,10,4,8,9,18,5,8,6,15,2,18,4,8,32,10,7,8,5,10,6,8,4,10,71,8,5,10,7,8,4,10,22,8,5,10,31,8,2,10,35,8,2,10,17,8,6,10,25,8,1,18,1,14,1,15,1,8,1,10,6,8,2,9,2,8,1,18,3,8,1,10,2,9,1,8,1,18,5,8,4,10,6,9,1,8,3,18,1,8,1,10,6,18,3,9,1,10,1,9,3,10,2,18,3,9,1,10,1,8,1,3,1,16,2,3,1,18,2,3,1,16,2,3,1,18,1,10,2,9,1,8,2,18,2,8,13,15,8,18,4,3,3,4,259,18,1,3,2,14,2,3,1,14,2,15,6,14,6,15,27,14,1,15,27,14,4,15,5,14,7,15,3,7,2,14,8,17,2,14,9,3,4,4,2,19,2,4,210,3,3,4,24,18,1,3,2,4,544,19,1,4,1,19,1,4,9,19,6,4,11,19,8,4,7,3,1,16,254,3,1,16,18,3,2,4,566,},
{4,32,18,1,3,1,18,1,4,359,18,4,3,3,18,2,10,3,4,36,10,6,8,2,10,16,8,6,10,6,8,2,10,5,8,1,10,6,8,2,18,2,8,16,10,2,8,5,10,3,8,9,18,8,8,4,18,1,15,1,14,1,15,1,18,2,8,13,10,1,8,18,10,17,8,2,18,1,8,2,10,5,8,5,10,60,8,6,10,4,8,7,10,21,8,2,18,3,8,2,10,66,8,2,10,18,8,1,10,21,8,1,10,9,18,1,14,1,18,1,8,1,10,4,8,4,9,1,8,1,18,4,8,1,10,2,9,1,8,1,18,3,8,2,9,1,8,1,18,1,8,1,10,6,8,1,18,1,8,1,9,1,8,2,9,1,10,5,18,2,8,1,9,3,8,2,9,2,18,3,9,2,18,1,3,1,16,3,14,2,16,2,3,1,18,1,9,1,10,1,9,2,8,4,10,2,8,3,18,2,8,5,15,9,18,1,8,1,18,2,3,3,4,255,18,6,14,5,15,8,14,2,15,1,14,1,15,11,14,4,15,8,14,1,15,1,14,4,15,17,14,4,15,6,14,4,15,4,14,5,15,5,7,5,14,7,17,1,14,9,3,2,16,1,3,1,18,1,4,214,18,1,4,571,19,5,4,8,19,5,4,11,19,10,4,1,18,1,4,4,3,1,16,254,3,3,16,17,3,1,18,1,4,565,},
{4,32,18,1,3,1,4,360,18,3,14,3,3,1,14,1,18,1,8,1,10,2,4,36,10,6,8,3,10,5,8,1,10,8,8,8,10,5,8,2,10,4,8,3,10,5,8,1,18,3,8,24,10,1,8,11,18,8,8,3,18,1,14,3,18,2,8,10,10,4,8,6,10,2,8,6,10,2,8,1,10,17,8,6,10,3,8,7,10,25,8,2,10,35,8,4,10,2,8,8,10,16,8,1,10,5,8,2,18,3,8,1,10,67,8,1,10,10,8,5,10,10,8,4,10,13,8,2,10,3,8,1,10,3,8,1,18,1,8,2,10,2,8,2,18,1,8,6,18,2,8,2,9,3,8,4,9,2,10,1,8,1,18,1,8,1,10,6,8,1,18,1,8,1,10,1,9,2,8,2,9,1,10,3,8,1,18,2,8,1,9,2,8,3,18,3,9,2,18,1,3,5,18,2,14,1,18,1,10,3,8,5,9,1,10,4,8,1,18,4,8,4,15,9,8,3,18,1,3,3,4,255,3,3,18,3,14,5,15,23,14,5,15,4,8,1,15,2,14,6,15,16,14,6,7,1,15,3,14,5,15,3,14,5,15,4,7,8,14,3,6,1,14,2,6,2,14,9,3,1,16,2,3,1,18,1,4,785,19,6,4,23,19,4,4,4,19,1,4,1,18,1,3,2,18,1,3,2,16,255,3,3,16,17,3,2,4,565,},
{4,393,18,4,14,5,15,1,8,2,10,1,18,1,4,35,10,6,8,3,10,3,8,3,10,8,8,8,10,19,8,1,18,4,8,13,10,1,8,9,10,1,8,13,18,3,8,6,18,1,14,2,18,2,8,8,10,2,8,1,10,4,8,5,10,4,8,4,10,19,8,2,18,1,8,3,10,2,8,10,10,25,8,2,10,36,8,2,10,2,8,9,10,15,8,10,18,1,8,2,10,77,8,6,10,10,8,1,18,2,8,2,10,13,8,5,10,3,8,3,10,3,8,1,18,3,8,13,9,1,10,5,9,1,8,1,9,1,10,5,8,4,10,2,9,1,8,2,9,1,10,2,9,2,8,1,18,1,8,1,10,2,8,1,18,4,9,1,10,1,9,1,14,1,3,4,14,1,18,2,9,1,10,3,9,1,18,1,8,1,9,4,10,4,8,2,18,3,8,3,18,1,15,9,8,3,18,1,14,1,3,1,18,1,4,255,3,3,18,2,14,6,15,3,14,3,15,18,14,4,15,4,8,1,15,2,14,4,15,19,14,5,7,2,15,1,14,6,15,1,14,7,15,4,7,8,14,1,6,3,7,3,14,1,6,1,14,1,6,1,14,1,7,1,14,4,3,1,16,3,3,1,4,784,19,7,4,2,18,1,3,2,18,1,4,7,18,1,3,3,4,4,19,2,4,1,19,2,4,1,3,2,18,1,4,3,18,1,3,4,16,4,3,4,16,241,3,2,16,5,3,3,16,19,3,1,18,1,4,563,},
{4,393,18,6,14,3,18,1,8,3,18,3,4,32,10,7,8,3,10,2,8,4,10,7,8,9,10,8,8,1,10,10,8,18,10,1,8,9,10,2,8,6,10,2,8,14,18,3,8,6,10,10,8,3,10,4,8,6,10,18,8,1,18,3,8,1,10,3,8,7,10,72,8,7,10,17,8,3,18,3,8,5,10,79,8,5,10,3,8,2,10,4,8,2,18,2,8,2,10,14,8,4,10,3,8,3,10,3,8,1,18,3,8,2,18,1,8,2,10,2,9,1,8,1,18,2,8,2,10,4,8,1,9,1,10,6,8,1,18,2,8,2,9,1,10,2,9,1,8,2,10,2,8,2,10,2,18,2,10,2,9,1,8,1,9,3,10,2,9,1,18,1,3,4,18,1,14,1,18,1,10,2,18,1,14,1,18,1,8,1,10,4,9,1,8,1,9,1,8,18,15,5,18,3,4,247,19,3,4,6,18,5,14,6,15,3,14,4,15,28,14,2,15,22,14,12,15,3,14,5,15,5,7,1,14,3,7,4,14,1,6,2,7,5,6,1,17,1,6,1,14,1,7,2,14,2,15,1,14,1,3,1,16,2,3,1,4,775,19,4,4,5,19,6,4,1,3,3,16,4,3,3,18,1,3,3,16,3,3,10,16,2,3,3,18,2,3,2,16,4,3,7,16,236,3,1,16,3,3,2,16,5,3,3,16,20,3,1,18,1,4,562,},
{4,392,18,6,15,1,14,4,18,7,4,30,10,1,8,2,10,4,8,1,10,4,8,4,10,8,8,10,10,6,8,2,10,9,8,28,10,4,8,1,10,1,8,2,10,4,8,18,10,18,8,9,10,17,8,2,18,2,8,1,10,4,8,6,10,73,8,7,10,18,8,2,18,4,8,2,10,76,8,5,10,8,8,2,10,4,8,1,18,3,8,2,10,5,8,2,10,7,8,3,10,3,8,4,10,3,8,2,18,2,8,4,10,3,9,1,8,1,18,3,8,1,10,3,8,3,10,3,9,1,8,1,9,1,8,1,14,1,18,1,8,1,10,4,9,1,8,2,10,2,8,2,10,2,18,2,10,3,9,1,10,3,9,1,18,4,14,1,3,1,18,1,3,3,8,2,14,1,3,1,18,1,10,5,9,1,8,1,18,1,8,5,9,2,8,1,18,2,8,9,15,4,18,3,4,245,19,6,4,5,18,4,15,1,14,13,15,12,14,1,15,15,14,2,15,23,14,9,15,5,14,5,15,2,8,1,15,2,7,1,14,4,7,2,14,4,7,5,14,10,3,2,16,1,3,1,18,1,4,773,19,6,4,5,19,5,3,1,16,10,3,2,16,7,3,1,16,10,3,3,18,1,3,2,16,3,3,2,18,1,4,4,3,1,16,237,3,1,16,2,3,3,16,3,3,4,16,21,3,1,4,562,},
{4,392,18,4,8,2,7,2,14,1,7,3,15,1,14,2,18,4,4,29,10,7,8,1,10,6,8,1,10,9,8,2,10,7,8,2,10,5,8,2,10,9,8,3,10,2,8,5,10,7,8,4,10,14,8,1,10,4,8,16,10,13,8,3,10,3,8,3,18,3,8,3,10,17,8,6,10,4,8,1,18,1,8,3,10,31,8,2,10,41,8,6,10,13,8,4,10,3,8,3,18,1,8,3,10,77,8,5,10,7,8,12,10,5,8,2,10,8,8,1,10,3,8,6,10,3,8,7,10,3,8,2,18,2,8,2,10,3,8,3,10,3,8,3,18,3,8,1,10,4,9,2,10,3,8,2,10,2,18,2,10,6,9,1,18,1,14,1,18,1,10,2,9,1,18,1,14,1,3,1,16,2,3,1,18,2,9,1,10,6,8,1,18,4,8,2,9,1,10,2,8,1,18,3,8,10,15,1,8,2,18,2,4,4,19,4,4,237,19,6,4,3,18,5,15,1,14,3,15,4,14,7,15,12,14,1,15,15,14,2,15,24,14,8,15,5,14,4,15,6,14,13,15,2,14,10,3,3,16,1,3,2,4,2,19,1,4,770,19,6,4,10,3,1,16,28,3,8,16,2,3,2,18,1,4,3,19,1,4,2,3,1,16,237,3,2,16,2,3,2,16,2,3,1,18,1,3,3,16,20,3,1,4,562,},
{4,392,18,3,8,2,7,7,14,4,18,5,10,1,4,26,10,6,8,4,10,7,8,2,10,5,8,3,10,5,8,3,10,5,8,2,10,9,8,2,10,17,8,2,10,7,8,3,10,4,8,2,10,2,8,15,10,13,8,6,10,1,8,2,18,4,8,2,10,19,8,3,10,1,8,1,10,5,8,2,10,2,8,2,10,4,8,2,10,23,8,3,10,32,8,3,10,6,8,5,10,7,8,4,10,2,8,5,10,5,8,3,10,73,8,2,10,5,8,4,10,5,8,10,10,9,8,2,10,3,8,1,10,8,8,1,18,2,8,3,10,3,8,4,10,4,8,9,10,2,8,2,10,3,8,5,18,1,8,1,9,1,10,8,9,3,10,2,8,3,10,5,9,1,18,1,14,1,18,1,10,3,9,1,18,1,3,1,16,2,3,1,14,1,9,1,10,7,8,2,18,4,8,2,10,2,9,1,18,3,9,3,10,2,8,9,18,1,4,4,19,5,4,236,19,6,4,2,18,5,15,2,14,3,15,3,14,8,15,21,14,3,15,3,14,10,15,15,7,6,14,4,15,4,14,4,15,8,14,22,3,7,18,1,4,1,19,2,4,770,19,5,4,10,18,1,16,3,3,6,16,5,3,3,16,9,3,2,18,2,3,6,16,2,3,3,4,4,19,3,18,1,3,2,16,235,3,2,16,2,3,2,16,2,3,1,18,1,3,4,16,9,3,1,16,1,3,5,16,2,3,2,4,562,},
{4,390,10,2,18,3,8,2,15,1,14,2,7,2,14,6,18,6,4,25,10,8,8,4,10,5,8,6,10,2,8,10,10,12,8,1,10,4,8,2,10,19,8,3,10,3,8,5,10,3,8,19,10,11,8,4,18,2,8,4,18,1,14,2,18,1,8,2,10,20,8,2,10,3,8,1,10,8,8,2,10,3,8,4,10,21,8,4,10,31,8,4,10,6,8,4,10,7,8,6,10,1,8,7,10,12,8,2,10,33,8,2,10,29,8,6,10,10,8,1,18,1,8,7,10,10,8,2,10,4,8,1,10,3,8,3,10,2,18,2,8,8,18,2,8,1,10,3,8,2,18,2,8,2,10,2,8,3,10,5,8,6,10,9,9,1,8,2,10,2,8,2,10,1,9,1,18,2,10,4,9,2,18,2,10,4,9,1,18,2,3,3,18,1,10,5,9,6,8,1,18,2,8,1,9,9,10,1,8,9,18,3,4,4,19,5,4,233,19,6,4,3,18,6,15,1,14,3,15,3,14,4,15,1,14,5,15,6,14,1,15,12,14,4,15,3,14,11,15,15,7,4,14,6,15,1,14,6,15,2,14,3,15,5,14,7,7,3,14,10,3,2,16,1,3,4,19,5,4,446,19,3,4,4,19,2,4,314,19,4,4,5,18,6,3,1,16,3,3,1,18,1,9,1,18,3,3,6,18,2,3,2,16,4,3,3,18,1,4,4,18,1,3,3,16,3,3,1,18,2,4,5,19,2,4,1,3,2,16,236,3,5,16,2,3,1,18,3,3,3,16,8,3,3,4,4,3,3,4,563,},
{4,390,8,1,10,1,18,3,8,1,15,1,7,5,14,5,18,7,4,14,10,1,8,1,10,17,8,4,10,5,8,17,10,13,8,1,10,26,8,1,10,4,8,5,10,4,8,17,10,11,8,10,18,1,14,2,18,2,8,1,10,21,8,1,10,6,8,1,10,6,18,2,8,1,10,1,8,6,10,7,8,5,10,8,8,4,10,31,8,2,10,10,8,3,10,6,8,14,10,12,8,2,10,33,8,2,10,30,8,4,10,10,8,1,18,2,8,2,10,13,8,4,10,4,8,1,10,1,8,5,10,1,8,1,18,2,8,1,10,2,8,2,18,5,8,1,10,3,8,1,18,3,8,1,10,3,8,3,10,4,8,4,10,6,9,1,10,3,9,2,8,1,18,2,8,2,18,2,10,1,9,1,18,2,10,6,9,3,10,6,9,1,18,1,15,1,8,1,10,3,9,1,8,3,9,1,10,3,8,1,18,2,8,2,9,6,8,12,18,4,4,3,19,6,4,231,19,5,4,4,18,3,8,1,18,1,15,2,14,3,15,4,14,9,15,21,14,4,15,2,14,11,15,10,14,28,15,4,14,11,3,2,14,2,3,9,18,2,4,1,19,7,4,269,19,2,4,173,19,13,4,311,19,1,4,6,18,2,3,1,18,4,3,1,16,3,3,1,9,1,10,4,9,1,18,1,3,2,18,1,4,4,3,5,18,3,4,5,18,2,3,2,16,2,3,2,18,2,4,5,19,2,4,2,3,1,16,236,3,9,18,2,3,3,16,8,3,3,18,1,4,569,},
{4,390,10,2,18,3,15,1,14,1,7,8,14,1,15,1,18,6,10,2,4,13,9,1,8,1,10,6,8,2,10,3,8,4,10,4,8,2,10,6,8,11,10,29,8,1,10,32,8,7,10,21,8,6,18,5,8,1,10,34,8,2,18,2,8,4,10,2,8,2,10,2,8,2,10,4,8,1,18,1,8,2,10,8,8,4,10,5,8,2,10,25,8,1,10,11,8,5,10,8,8,1,18,2,8,5,10,75,8,1,10,19,8,1,18,1,8,1,10,13,8,2,18,1,8,1,10,6,8,5,10,2,8,4,10,2,8,4,18,3,8,2,10,3,8,4,10,3,8,2,18,1,8,1,10,2,8,4,10,7,8,6,18,7,8,3,9,1,10,16,9,2,10,3,9,1,18,2,8,3,10,3,8,1,18,1,8,2,10,1,9,1,18,8,15,1,8,8,15,1,18,4,4,2,19,8,4,228,19,5,4,4,18,3,15,13,14,5,15,5,14,3,15,6,14,2,15,10,14,2,15,5,14,8,15,11,14,14,7,1,15,2,14,17,15,2,14,5,3,11,18,2,4,3,19,8,4,252,3,8,18,2,3,3,4,4,3,2,4,24,3,3,4,128,19,5,4,4,3,3,18,1,4,6,19,13,4,314,18,6,3,4,16,4,3,1,18,1,10,3,9,1,18,5,4,6,18,2,4,4,18,1,3,3,18,3,3,7,18,1,4,4,18,1,4,4,18,1,3,1,16,234,3,7,18,1,3,2,18,1,3,2,16,4,3,1,16,8,3,2,4,568,},
{4,391,10,1,18,3,15,1,14,1,7,9,15,1,18,5,8,1,10,1,4,13,18,1,8,1,10,12,8,4,10,13,8,11,10,28,8,1,10,12,8,1,10,51,8,2,18,3,8,2,10,7,8,2,10,25,8,2,18,3,8,5,10,1,8,6,10,3,8,1,18,2,8,2,10,8,8,3,10,45,8,5,10,8,8,1,18,2,8,4,10,90,8,2,10,4,8,3,10,13,8,4,10,6,8,3,10,11,8,3,18,4,8,1,10,4,8,4,10,2,8,1,18,2,8,1,10,2,8,3,10,7,8,8,18,5,8,2,9,1,10,10,9,4,10,7,9,1,8,1,18,3,8,3,9,1,10,1,9,1,8,3,9,3,18,3,9,1,18,4,15,2,8,8,18,5,4,2,19,7,4,228,19,4,4,3,18,4,15,1,14,3,15,12,14,3,15,5,14,3,15,5,14,7,15,2,8,3,15,15,14,2,15,10,14,7,15,4,7,2,14,1,7,2,15,1,14,17,15,2,3,6,18,3,3,5,18,1,4,6,19,9,4,250,3,1,16,8,3,3,16,1,3,2,19,1,4,1,18,1,3,1,18,1,4,23,3,1,16,2,3,1,4,110,19,1,4,17,19,5,4,2,18,1,3,5,18,3,4,3,19,13,4,314,18,6,14,1,3,3,16,4,3,1,18,1,10,1,9,3,18,5,4,11,18,1,3,1,16,3,3,1,18,1,3,2,16,1,3,2,18,1,3,1,18,2,4,5,18,2,4,2,10,1,18,1,3,1,16,230,3,9,4,3,18,2,3,1,16,4,3,4,16,7,3,1,18,1,4,5,18,2,4,560,},
{4,392,18,3,15,1,7,9,8,2,18,5,8,1,10,1,4,13,8,2,10,29,8,6,18,2,8,6,10,91,8,5,10,36,8,6,18,1,8,13,18,1,8,2,10,38,8,2,10,10,8,2,10,13,8,5,18,3,8,1,10,107,8,4,10,5,8,3,10,20,8,3,18,4,8,1,10,4,8,10,10,11,8,7,10,2,9,1,8,5,9,1,10,11,9,5,10,2,9,4,8,1,18,1,8,1,9,2,8,4,18,2,8,1,9,2,8,3,9,2,10,1,9,3,8,1,18,1,8,12,18,3,4,3,19,6,4,228,19,3,4,4,18,4,15,2,14,1,15,14,14,2,15,5,14,3,15,5,14,8,15,2,8,2,15,3,8,2,15,10,14,6,15,7,14,3,15,5,8,3,7,1,14,5,7,1,14,13,15,1,14,2,3,6,18,1,4,18,19,3,4,193,19,2,4,8,18,1,3,3,4,38,18,1,3,7,16,12,3,5,18,1,4,25,3,1,16,2,3,1,4,109,3,13,4,6,19,3,4,3,18,3,3,2,18,5,4,5,19,1,18,1,4,4,19,6,4,312,18,1,3,2,18,5,3,4,16,2,3,1,14,1,18,1,8,1,18,10,3,4,4,5,3,1,16,4,3,4,16,1,3,2,18,1,4,9,18,3,10,1,18,1,3,5,16,225,3,6,18,3,4,1,19,2,4,3,18,1,3,1,16,3,3,2,16,1,3,3,16,5,3,1,18,1,4,567,},
{4,392,18,2,8,2,15,1,7,7,8,3,18,7,4,11,10,33,8,14,10,43,8,2,10,56,8,3,10,28,8,2,10,1,8,5,10,2,8,2,10,1,8,9,10,37,8,4,10,9,8,4,10,12,8,5,18,2,8,2,10,105,8,7,10,23,8,3,10,2,8,4,18,2,8,1,10,4,8,5,10,2,8,3,10,9,8,8,10,4,8,4,9,1,10,12,9,8,8,3,18,2,8,1,9,2,8,1,18,1,8,2,18,2,9,1,10,1,9,1,8,2,9,1,10,5,9,2,8,13,18,3,4,3,19,12,4,226,18,5,15,30,14,2,15,3,14,7,15,2,8,1,15,4,8,2,15,12,14,5,15,6,14,3,15,5,8,3,7,1,14,4,15,3,14,7,3,1,14,6,3,3,18,4,4,20,19,1,4,191,19,4,4,8,18,1,3,1,16,3,3,1,4,36,18,1,3,1,16,19,3,1,16,3,3,2,18,1,4,24,3,3,19,1,4,52,19,5,4,52,18,1,3,1,16,11,3,2,19,3,4,2,19,2,4,1,18,3,3,4,18,4,3,2,4,2,3,6,18,1,4,1,19,8,4,310,18,8,3,2,18,3,14,1,3,1,14,1,18,8,3,2,18,1,3,1,16,3,3,1,4,5,3,2,16,9,3,1,18,1,4,9,18,3,10,1,18,2,3,1,18,2,3,1,16,226,3,4,18,4,4,1,19,2,4,4,3,8,18,2,3,1,16,4,3,2,4,567,},
{4,392,18,2,8,2,15,1,14,4,7,3,8,3,18,7,4,10,10,34,8,13,10,40,8,10,10,52,8,3,10,28,8,2,10,12,8,2,10,10,8,2,10,44,8,4,10,13,8,7,10,53,8,1,10,25,8,2,10,4,8,8,10,17,8,1,10,1,8,1,10,1,8,1,10,20,8,5,10,2,8,6,10,5,8,4,10,13,8,8,10,5,9,1,8,3,10,13,9,4,8,12,18,2,9,1,8,1,18,1,8,1,9,1,10,1,9,1,8,1,9,1,10,6,9,2,8,14,18,4,4,2,19,13,4,223,18,5,14,6,15,11,14,2,15,4,14,2,15,5,14,4,15,14,14,1,15,17,14,4,15,3,14,8,15,4,14,5,15,7,14,2,3,10,18,1,4,22,18,1,3,8,4,185,19,4,4,2,18,2,4,1,18,1,3,4,16,4,3,1,4,32,3,4,16,27,3,1,4,3,18,1,3,15,4,60,19,6,4,41,18,2,4,5,19,6,3,1,16,11,3,6,18,1,4,3,18,1,3,2,16,2,3,1,18,3,3,6,16,2,3,4,18,1,4,1,19,7,4,311,18,1,4,1,18,4,3,3,18,8,3,2,18,4,3,2,18,2,3,1,16,3,3,4,4,3,3,2,16,7,3,1,18,1,4,10,18,2,10,2,18,2,10,1,18,1,3,4,16,225,3,2,18,2,3,3,4,7,18,3,3,3,18,1,10,2,18,1,16,4,3,1,18,4,4,564,},
{4,392,18,3,8,1,15,1,14,4,7,3,8,2,18,7,4,11,10,34,8,13,10,39,8,8,18,1,8,4,10,73,8,1,10,33,8,2,10,45,8,4,10,3,8,6,10,6,8,3,10,53,8,3,10,19,8,2,10,2,8,4,10,2,8,9,10,11,8,5,10,15,8,2,10,7,8,7,10,5,8,2,10,6,8,3,10,12,8,9,10,6,9,1,8,3,10,7,9,2,10,5,9,2,8,12,18,2,8,1,10,3,9,1,10,1,9,3,10,8,9,1,8,14,18,5,4,3,19,11,4,222,18,3,14,13,15,1,14,8,15,4,14,3,15,4,14,4,15,13,14,3,15,6,8,8,15,2,14,3,15,3,14,8,15,4,14,6,15,7,14,2,3,8,18,3,4,21,18,1,3,1,16,1,3,2,16,4,3,2,4,185,19,3,4,1,3,5,16,8,3,1,4,30,19,1,3,1,16,32,3,1,4,2,3,1,16,14,3,2,4,60,19,4,4,41,18,1,3,2,18,1,4,4,19,6,3,1,16,18,3,2,18,2,3,1,16,4,3,3,16,9,3,4,4,3,19,5,4,315,18,4,3,1,18,14,3,1,18,1,4,3,18,1,3,4,16,1,3,1,4,4,18,1,3,1,16,4,3,3,4,13,10,2,18,2,10,2,18,1,3,1,18,1,3,2,16,225,3,4,16,1,3,1,18,1,4,9,18,1,3,3,10,3,3,1,16,3,3,1,10,2,18,2,4,564,},
{4,393,18,2,8,1,15,1,7,1,14,2,7,4,8,2,18,7,4,11,18,4,8,4,18,1,8,1,10,7,8,5,10,5,8,4,10,2,8,24,10,28,8,2,18,1,8,3,18,2,15,1,14,1,15,1,18,1,8,2,10,67,8,2,10,4,8,2,10,21,8,1,10,10,8,2,10,47,8,11,10,62,8,4,10,17,8,20,10,11,8,7,10,13,8,2,10,3,8,10,10,24,8,12,10,6,9,1,8,5,10,6,9,3,10,3,9,3,8,8,9,3,8,1,18,2,8,2,10,5,8,1,9,1,10,9,9,1,8,14,18,7,4,2,19,14,4,217,18,5,14,22,15,3,14,3,15,5,14,2,15,7,14,3,15,5,14,1,15,3,14,2,15,2,8,9,15,2,14,1,15,6,14,3,15,4,8,3,14,5,15,3,14,7,3,5,18,1,9,1,10,4,4,15,18,4,3,8,16,4,3,1,4,165,19,1,4,11,19,3,4,7,18,1,3,2,16,11,3,1,4,28,18,1,3,3,16,33,3,3,16,12,3,1,16,4,3,5,4,44,18,4,4,2,18,3,3,1,18,1,4,34,18,3,4,4,18,1,3,5,18,3,4,3,19,4,4,1,3,2,16,19,3,4,16,16,3,3,18,2,4,3,19,4,4,318,18,9,4,15,18,2,3,1,18,1,4,5,18,1,3,4,18,1,4,15,10,2,18,2,10,2,18,5,3,1,16,229,3,2,4,8,18,1,4,1,3,1,16,2,3,1,18,1,10,1,9,1,3,1,16,1,3,1,18,1,10,2,18,2,4,564,},
{4,393,18,3,15,5,7,1,15,2,8,2,18,6,4,11,18,11,8,2,10,4,8,6,10,4,8,31,10,27,8,3,18,1,15,5,14,3,18,1,8,2,10,66,8,3,10,4,8,4,10,19,8,1,10,59,8,2,18,4,8,6,10,61,8,3,10,17,8,21,10,12,8,4,10,14,8,3,10,4,8,9,10,24,8,10,10,7,9,1,8,5,10,7,9,1,8,2,9,3,8,10,9,1,10,2,9,1,8,1,18,1,8,1,9,1,10,6,8,1,9,1,10,3,9,3,10,1,9,1,10,2,9,2,8,8,15,1,18,10,4,4,19,14,4,212,18,4,3,1,18,2,14,23,15,3,14,4,15,8,14,9,15,4,14,1,15,3,14,2,15,2,8,2,15,3,8,4,15,1,14,3,15,5,14,1,15,6,8,3,15,1,14,8,3,3,14,1,15,1,18,3,14,1,18,1,9,1,10,6,4,13,18,2,3,14,16,2,3,1,4,164,19,7,4,6,19,5,4,2,19,1,3,4,16,11,3,2,4,28,3,1,16,35,3,3,16,13,3,2,16,7,3,1,4,41,19,1,3,3,16,3,3,3,16,4,3,2,18,1,3,2,19,1,4,27,3,1,16,2,3,10,18,3,3,2,18,1,4,2,19,3,4,1,3,1,16,41,3,2,18,4,4,1,19,3,4,315,19,2,4,5,18,4,4,34,19,3,4,10,10,3,18,8,3,2,16,229,3,1,18,1,4,9,3,1,16,3,3,1,18,1,10,1,3,3,18,1,10,2,18,2,4,564,},
{4,394,18,3,15,1,8,2,18,3,8,2,18,5,4,12,10,2,18,11,8,1,10,4,8,5,10,3,8,10,10,1,8,8,10,6,8,3,10,5,8,4,10,22,8,5,18,1,15,1,18,1,15,3,14,1,15,1,18,1,8,1,10,68,8,2,10,4,8,4,10,19,8,5,10,55,8,2,18,4,8,13,10,43,8,3,10,6,8,2,10,14,8,1,10,4,8,20,10,31,8,2,10,8,8,5,10,14,8,1,10,7,8,11,10,6,8,2,10,1,8,6,10,7,9,1,8,16,10,3,8,3,9,1,10,2,9,2,10,3,9,1,10,2,8,3,9,2,10,6,9,4,10,2,8,1,18,1,15,2,18,9,4,6,19,12,4,211,18,5,14,17,15,3,14,6,15,4,14,5,15,6,14,9,15,4,14,2,15,2,14,2,15,8,8,2,15,2,14,11,15,6,18,3,3,10,18,2,9,1,10,11,4,4,18,10,3,6,14,2,3,1,14,4,3,2,16,2,3,1,4,78,18,2,4,14,3,17,18,1,4,52,19,6,4,1,3,5,18,1,4,1,19,4,3,2,16,1,3,4,16,10,3,1,4,30,3,1,16,33,3,4,16,23,3,1,4,38,18,1,3,2,16,20,3,3,4,23,3,1,16,5,3,6,18,5,3,3,4,2,19,1,4,1,19,3,3,1,16,40,3,2,18,3,4,2,18,1,3,2,18,1,4,309,19,11,4,2,18,2,4,15,19,7,4,6,19,1,4,5,19,9,4,5,10,4,18,2,8,1,18,5,3,2,16,229,3,1,18,1,4,7,18,1,3,7,18,2,10,4,18,3,4,563,},
{4,394,18,4,8,5,18,6,4,13,10,3,8,2,18,5,15,1,18,2,8,9,10,4,8,8,10,8,8,4,10,13,8,5,10,20,8,7,15,1,8,3,18,2,8,2,10,69,8,3,10,3,8,5,10,18,8,1,10,1,8,3,10,46,8,5,10,4,8,2,18,3,8,14,10,43,8,11,10,13,8,8,18,1,8,4,10,4,8,7,10,33,8,2,10,8,8,2,10,16,8,4,10,2,8,6,10,1,8,5,10,5,8,11,10,7,9,1,8,17,10,3,8,3,10,3,9,1,8,1,9,1,10,4,9,1,8,1,18,3,9,2,10,6,9,2,10,3,9,1,18,1,15,2,18,7,8,1,18,6,4,3,19,10,4,211,18,2,15,2,14,16,15,8,14,5,15,2,14,6,15,4,14,2,15,4,14,3,15,4,14,7,15,12,14,16,3,2,18,1,3,7,18,5,10,13,4,3,18,1,3,13,14,10,3,1,14,1,3,1,16,1,3,1,4,76,18,1,3,4,4,12,3,1,16,17,3,1,18,1,4,52,19,5,3,1,16,4,3,2,4,1,19,4,3,1,16,14,3,2,18,1,4,30,3,1,16,33,3,3,16,23,3,1,4,1,19,2,4,34,18,1,3,2,16,24,3,1,4,22,18,1,3,1,16,9,3,2,18,1,3,8,4,4,19,1,4,1,3,1,16,41,3,1,18,5,3,2,16,1,3,1,4,308,19,12,4,18,19,10,4,2,19,20,4,1,18,2,10,4,18,5,9,1,10,1,18,2,3,1,16,228,3,2,18,1,4,6,18,1,3,8,18,1,9,1,10,3,18,3,4,563,},
{4,394,18,3,8,9,18,2,4,12,9,1,8,2,10,3,8,7,18,5,8,4,10,6,8,3,10,14,8,15,10,25,8,2,18,1,15,1,18,1,8,3,15,1,8,7,10,71,8,1,10,4,8,4,10,62,8,8,18,1,8,6,10,1,8,7,18,1,8,11,10,44,8,10,10,12,8,6,18,5,8,4,10,3,8,7,10,33,8,2,10,8,8,2,10,16,8,4,10,2,8,5,10,3,8,4,10,5,8,11,10,6,9,1,8,18,10,3,8,2,10,2,9,4,8,2,9,1,10,1,9,1,8,3,18,2,8,1,9,2,10,6,9,2,10,2,9,1,8,1,18,18,4,5,19,6,4,211,18,2,14,15,15,13,14,4,15,1,14,6,15,4,14,2,15,10,14,8,15,12,14,2,15,2,14,2,15,5,14,2,3,10,18,3,4,8,10,7,18,1,3,8,14,2,3,6,14,2,3,3,14,8,3,5,4,75,19,1,3,1,16,3,3,1,18,1,4,10,3,1,16,19,3,2,4,49,3,8,16,1,3,4,4,2,19,4,3,1,16,13,18,1,4,1,18,1,3,5,18,2,3,2,4,22,3,1,16,34,3,1,16,23,3,1,19,4,4,31,3,2,16,28,3,1,19,1,4,12,19,5,4,2,18,1,3,2,16,11,3,2,16,3,3,8,18,1,4,2,3,1,16,41,3,4,18,3,3,3,4,3,19,5,4,300,19,14,4,16,19,32,4,1,18,2,10,4,18,2,10,7,18,1,3,1,16,228,3,2,18,1,4,5,18,1,3,1,16,4,3,5,18,2,10,3,18,2,4,562,},
{4,394,18,4,8,8,10,2,4,11,10,1,8,3,10,4,8,8,18,4,8,3,10,6,8,1,10,16,8,15,10,24,8,2,15,1,14,2,15,1,8,3,18,2,8,4,10,79,8,2,10,18,8,1,10,44,8,1,18,1,8,5,18,2,8,2,18,2,8,2,10,1,8,6,18,3,8,5,10,1,8,4,10,20,8,2,10,23,8,10,10,7,8,9,18,5,8,5,10,3,8,8,10,1,8,4,10,12,8,1,10,15,8,1,10,7,8,3,10,16,8,4,10,1,8,5,10,4,8,4,10,3,8,7,10,2,8,4,10,5,9,1,8,2,18,3,8,14,10,3,8,6,10,2,8,2,9,2,8,2,9,2,8,1,18,1,8,2,9,1,10,6,9,5,8,1,18,7,8,4,18,8,4,4,19,6,4,210,18,2,14,13,15,1,14,2,15,13,14,12,15,2,14,3,15,11,14,9,15,1,14,2,15,15,14,5,3,6,18,3,4,12,18,2,9,3,18,2,3,8,18,1,15,2,14,5,15,3,14,13,3,1,16,1,3,1,18,1,4,75,3,5,4,10,3,1,16,22,3,1,4,47,3,2,16,3,3,3,16,2,3,1,18,1,3,2,4,4,19,1,4,1,18,1,3,1,16,4,3,3,16,4,3,1,4,3,3,1,16,4,3,2,16,1,3,1,4,22,3,1,16,58,3,1,19,4,4,30,3,2,16,29,3,1,4,12,19,6,4,1,3,2,16,13,3,2,16,4,3,7,18,1,4,2,3,1,16,42,3,5,18,1,3,3,4,3,19,5,4,300,19,10,4,1,19,3,4,16,19,32,4,1,18,1,3,1,18,1,10,4,18,1,10,8,18,1,3,1,16,228,3,2,18,1,4,5,3,3,16,2,3,2,16,2,3,2,18,1,10,3,18,1,3,1,18,1,4,561,},
{4,394,10,1,8,1,18,4,8,4,10,3,4,12,10,7,8,11,18,2,8,3,10,25,8,13,10,17,8,9,14,3,15,1,8,9,10,62,8,1,10,1,8,1,10,30,8,6,10,43,8,4,10,2,8,2,18,1,8,2,18,2,8,7,18,3,14,1,18,1,8,4,10,8,8,2,10,11,8,7,10,23,8,26,18,3,8,7,10,3,8,13,10,32,8,1,10,1,8,5,10,16,8,4,10,1,8,4,10,5,8,13,10,4,8,4,9,1,10,2,9,1,8,3,18,3,8,17,10,1,8,3,15,1,8,1,10,2,8,6,10,2,8,5,9,1,10,5,9,2,8,6,18,4,8,9,18,4,4,220,18,2,14,5,15,3,14,10,15,9,14,1,18,1,14,16,15,5,14,3,15,5,14,1,15,4,14,4,15,6,8,1,15,6,14,7,3,8,4,14,3,7,14,1,3,7,14,1,15,5,14,3,15,4,14,5,7,2,14,1,17,1,6,1,14,2,3,1,16,1,3,1,18,1,4,89,3,1,16,23,3,2,4,44,18,1,3,2,16,3,3,4,16,2,18,2,3,5,18,2,4,3,3,1,16,2,3,2,18,1,3,5,4,3,18,1,16,8,3,1,4,23,3,2,16,56,3,1,19,4,4,28,3,3,16,30,3,1,4,1,19,1,4,10,19,4,4,2,3,1,16,15,3,2,16,5,3,1,14,1,18,1,3,2,18,1,4,3,3,1,16,10,3,1,16,36,3,2,16,1,3,1,18,1,4,2,19,5,4,300,19,2,4,2,19,6,4,16,18,1,3,1,18,1,4,2,19,31,4,2,3,2,18,1,10,11,18,1,3,2,16,229,3,3,4,6,18,1,3,4,16,2,3,1,18,2,10,3,18,1,3,1,18,1,4,561,},
{4,395,10,2,18,4,8,1,10,5,4,12,10,7,8,17,10,26,8,10,10,17,8,9,15,1,14,3,15,2,8,8,10,61,8,5,10,29,8,2,10,2,8,2,10,50,8,2,10,1,8,2,18,1,8,4,18,4,8,8,10,8,8,2,10,9,8,10,10,23,8,5,10,4,8,12,18,3,8,2,18,1,8,2,10,2,8,4,10,3,8,13,10,20,8,2,10,10,8,7,10,12,8,7,10,2,8,3,10,5,8,5,10,3,8,7,10,3,8,34,18,2,8,2,10,1,8,6,10,2,8,6,10,5,9,2,18,3,8,17,18,4,4,219,18,2,15,1,14,3,15,5,14,11,15,6,14,4,15,1,14,13,15,3,14,1,15,1,14,5,15,3,14,2,15,4,14,5,15,11,14,4,3,10,18,1,4,14,18,1,3,9,14,1,18,2,14,4,15,2,7,4,15,2,14,1,15,3,7,2,14,1,6,2,7,2,6,2,17,2,14,1,3,1,16,1,3,1,18,1,4,88,3,1,16,25,3,2,4,43,3,1,16,2,3,4,18,2,3,3,18,1,3,2,16,4,3,1,16,1,3,1,4,2,18,1,3,3,18,2,3,4,18,3,3,2,16,8,3,1,19,1,4,23,3,2,16,55,3,1,4,1,19,2,4,28,3,2,16,29,3,3,4,1,19,2,4,10,19,4,4,1,3,1,16,10,14,1,17,1,16,4,3,1,14,1,16,5,14,1,18,2,3,2,18,1,4,3,18,1,3,1,16,9,3,1,16,39,3,2,18,1,4,2,19,4,4,305,19,5,4,15,3,5,4,6,19,27,4,1,18,1,3,2,18,1,10,3,18,3,10,2,18,4,3,1,16,231,3,1,18,1,4,6,18,1,3,2,16,2,3,2,18,1,10,3,4,1,3,3,18,2,4,559,},
{4,397,18,5,10,3,18,2,4,12,10,7,8,19,10,10,8,6,10,7,8,10,10,17,8,2,18,1,8,7,15,6,8,8,10,60,8,6,10,19,8,1,10,69,8,5,18,1,14,3,18,1,8,1,10,4,8,3,10,8,8,2,10,8,8,7,18,2,8,2,10,7,8,5,10,3,8,1,10,7,8,4,10,5,8,12,18,3,8,4,10,4,8,3,10,3,8,13,10,19,8,4,10,11,8,1,10,2,8,2,10,10,8,9,10,2,8,2,10,5,8,5,10,5,8,7,10,2,8,8,9,1,8,3,9,1,10,1,8,39,9,1,10,4,9,2,18,3,8,3,18,1,8,14,18,3,10,3,4,6,19,3,4,208,18,3,14,2,15,6,14,8,15,8,18,1,15,1,14,1,15,3,14,5,15,1,14,6,15,6,14,11,15,4,14,3,15,9,14,5,3,5,18,4,4,15,18,2,3,4,18,1,3,4,14,1,18,3,14,3,18,1,15,2,7,2,8,2,15,2,14,8,6,5,17,2,14,2,16,1,3,1,4,88,3,1,16,28,3,1,4,41,19,1,3,1,16,1,3,3,18,5,3,4,16,7,3,1,18,1,4,2,18,1,3,10,16,12,3,1,18,1,4,22,3,2,16,54,3,1,18,1,4,29,19,1,3,1,16,31,3,1,4,1,19,4,4,10,19,2,4,2,3,1,16,10,14,1,7,2,14,1,16,3,3,3,16,3,3,1,18,2,15,1,3,2,18,1,4,4,18,1,3,1,16,48,3,2,18,1,4,1,18,1,3,1,19,1,4,308,19,4,4,6,3,2,18,1,4,5,3,2,16,3,3,6,4,2,19,7,4,10,19,9,4,1,18,1,3,3,10,2,4,7,18,4,3,1,16,231,3,1,4,7,3,5,14,1,18,1,10,2,4,2,3,4,18,1,4,559,},
{4,418,10,8,8,21,10,7,8,25,10,4,8,4,10,8,8,2,18,1,8,7,18,3,15,3,8,8,10,60,8,5,10,19,8,3,10,69,8,3,18,1,15,1,14,3,18,1,8,1,10,4,8,3,10,8,8,2,10,8,8,7,18,2,8,2,10,4,8,10,10,8,8,4,10,5,8,7,18,1,8,9,10,1,8,1,10,12,8,1,10,4,8,4,10,20,8,6,10,26,8,9,10,3,8,1,10,5,8,7,10,1,8,10,10,1,8,8,10,6,8,16,18,1,8,14,18,1,8,7,9,1,10,5,8,2,18,2,8,3,18,7,8,7,18,5,10,2,18,3,4,2,19,5,4,209,18,2,14,3,15,5,14,1,15,14,18,3,15,3,14,4,15,3,14,5,15,6,14,11,15,4,14,4,15,9,14,2,3,4,18,3,4,17,18,2,3,2,18,8,14,1,15,1,8,2,18,1,14,3,18,1,15,1,14,1,7,1,15,1,8,2,15,2,14,8,6,2,17,1,14,1,17,1,16,2,14,1,3,3,4,88,3,1,16,4,3,2,16,17,3,2,16,4,19,1,4,41,3,3,18,2,10,1,18,6,14,1,3,1,16,8,3,1,18,1,4,1,18,1,3,4,16,19,3,1,4,13,19,1,4,4,19,3,18,1,3,2,16,54,3,1,4,29,18,1,3,1,16,31,3,1,4,2,19,10,4,4,19,1,4,2,3,1,16,11,14,1,15,3,14,2,3,2,14,1,15,1,14,1,3,2,15,1,18,2,3,3,18,1,4,5,3,1,16,2,3,5,16,43,3,3,16,2,19,1,4,308,19,2,4,6,18,1,3,1,16,1,3,1,18,1,4,3,18,1,3,1,16,1,3,2,16,1,3,2,16,4,3,1,18,1,4,1,19,6,4,10,19,9,4,2,18,1,3,2,18,1,4,9,18,3,3,1,16,231,3,2,4,6,18,1,3,1,16,2,3,3,18,2,4,1,19,1,4,1,3,4,4,559,},
{4,418,10,10,8,20,10,5,8,34,10,7,8,11,18,2,8,5,10,3,8,2,10,25,8,1,10,34,8,4,10,95,8,1,18,8,8,2,10,7,8,7,10,9,8,12,10,1,8,12,10,6,8,6,10,3,8,2,18,1,8,2,10,2,8,1,18,3,8,3,10,46,8,4,10,2,8,2,10,11,8,2,10,12,8,10,10,9,8,2,10,2,8,10,10,2,8,9,10,6,8,17,18,2,8,22,10,7,8,1,18,2,8,4,18,4,15,2,8,2,18,1,8,3,18,7,10,2,4,3,19,6,4,209,18,2,3,3,14,2,15,3,14,1,15,10,14,4,15,7,14,1,15,5,14,7,15,2,14,9,15,4,8,2,7,2,14,1,7,9,15,1,8,1,18,2,14,1,3,3,4,19,18,3,3,1,14,1,18,1,8,3,15,2,14,2,15,3,8,2,15,1,14,2,15,10,14,12,3,6,4,2,19,1,4,86,18,1,3,1,16,3,3,3,16,22,3,1,18,1,4,40,18,1,3,3,18,1,9,1,18,1,14,1,3,2,14,1,18,2,3,1,16,9,3,4,16,1,3,1,16,21,3,1,4,12,19,3,18,1,3,3,16,2,3,3,16,52,3,1,4,29,3,2,16,32,3,1,4,1,19,11,4,6,18,1,3,1,16,2,3,1,16,7,3,9,14,1,8,2,15,1,18,3,3,4,18,1,4,5,3,1,16,3,3,5,16,47,3,2,4,315,18,1,3,1,16,2,3,1,10,4,18,2,8,3,18,1,3,2,16,4,3,1,18,1,4,2,19,4,4,11,19,9,4,12,18,2,4,3,3,1,16,231,3,3,18,1,4,5,16,4,3,4,18,1,4,1,19,2,4,1,18,1,3,1,18,1,4,558,},
{4,417,10,12,8,3,10,2,8,14,10,4,8,4,10,2,8,10,18,1,8,18,10,6,8,3,10,2,8,14,10,30,8,1,10,33,8,3,10,97,8,1,18,3,8,1,10,2,8,1,18,3,8,1,10,5,8,3,18,1,8,4,10,10,8,18,10,2,8,4,10,7,8,4,10,3,8,3,18,2,8,1,10,2,8,1,14,2,18,1,8,3,10,33,8,3,10,10,8,3,10,31,8,12,10,6,8,1,10,3,8,1,18,1,8,2,18,2,8,3,10,3,8,8,10,7,8,9,10,1,8,7,18,1,8,22,10,9,8,6,18,4,15,2,18,1,8,1,18,1,8,2,18,2,15,1,18,5,10,2,18,1,4,1,19,7,4,210,18,1,3,4,14,1,15,1,8,1,15,10,14,6,15,4,14,4,15,5,14,7,15,1,14,6,15,9,8,1,7,10,8,1,7,2,8,1,18,1,14,1,3,3,4,18,18,2,3,3,14,2,8,4,15,1,14,3,15,1,8,3,15,2,14,2,15,11,14,9,3,7,4,2,19,2,4,87,18,1,3,2,16,2,3,2,16,3,17,2,16,18,3,1,4,40,18,1,14,1,3,2,15,1,9,1,18,1,14,1,3,3,14,1,15,1,3,1,16,9,3,6,16,21,3,1,18,1,4,10,19,4,3,1,16,6,3,2,16,52,3,1,4,28,3,1,16,32,3,2,4,1,19,2,4,4,19,5,4,4,18,3,3,5,16,6,3,9,16,1,17,1,14,3,15,1,8,1,18,1,3,4,18,1,4,5,3,1,16,3,3,2,18,3,3,2,16,1,3,1,16,44,3,1,4,315,18,1,3,1,16,3,8,1,10,1,8,2,10,5,18,1,3,3,16,2,3,4,18,1,19,3,4,5,18,2,4,2,18,2,4,1,19,9,4,12,18,2,4,4,3,1,16,230,3,4,18,1,4,4,3,1,16,4,3,1,16,2,3,1,4,1,19,2,4,2,18,1,4,559,},
{4,33,3,5,4,6,18,1,19,1,4,370,10,13,8,18,10,1,8,2,10,2,8,3,10,3,8,20,15,1,18,1,8,2,10,4,8,1,10,6,8,3,10,4,8,9,10,4,8,3,10,83,8,2,10,65,8,2,10,9,8,2,10,4,8,1,18,3,8,1,10,5,8,2,18,3,8,5,10,8,8,17,10,5,8,1,10,16,8,2,18,2,8,4,15,1,18,1,8,1,10,1,8,2,10,33,8,2,10,46,8,13,10,3,8,3,10,2,8,1,18,2,8,6,10,4,8,1,10,3,8,3,10,6,8,40,10,12,8,7,18,3,8,5,18,1,15,2,18,4,8,1,10,1,4,3,19,7,4,210,18,1,3,4,14,1,15,1,8,1,15,11,14,6,15,3,14,16,15,3,14,3,15,10,7,5,8,1,7,4,8,2,7,2,14,2,3,3,18,1,4,15,18,3,3,4,14,2,15,5,14,3,15,3,8,2,15,2,14,12,15,1,7,2,14,9,3,5,19,4,4,71,18,1,3,1,18,1,4,9,19,2,4,4,3,2,16,1,3,2,16,22,3,1,4,38,18,1,3,6,14,1,18,2,15,1,14,1,3,3,14,1,16,7,3,1,14,3,3,4,18,1,3,2,16,4,3,1,16,14,3,1,4,11,19,4,3,1,16,59,3,1,4,2,19,1,4,26,3,1,16,32,3,1,19,4,4,4,19,5,4,2,18,1,3,6,18,1,3,1,16,8,3,8,16,5,3,1,18,2,3,3,18,1,4,6,18,1,3,6,18,4,3,3,16,43,3,1,18,2,3,1,18,1,4,308,18,5,3,3,14,4,8,3,14,1,3,2,16,1,3,7,16,1,3,5,18,1,4,4,18,3,10,1,18,3,4,2,19,6,4,8,19,3,4,4,19,3,4,1,18,1,3,1,16,1,3,1,16,225,3,6,4,5,3,1,16,2,3,2,16,2,3,2,4,1,19,3,4,560,},
{4,33,3,5,4,5,19,1,3,2,4,369,10,14,8,5,10,6,8,6,10,3,8,5,10,5,8,18,15,3,8,2,10,11,8,2,10,7,8,6,10,5,8,2,10,150,8,4,10,15,8,3,10,6,8,2,18,3,8,5,10,8,8,5,10,2,8,3,18,1,8,5,10,6,8,6,10,10,8,9,18,1,8,1,10,6,8,1,10,31,8,1,10,47,8,12,10,7,8,3,18,1,8,5,10,10,8,6,10,1,8,40,10,13,8,15,18,7,10,2,4,2,19,8,4,210,18,1,3,4,14,1,15,1,8,1,15,2,14,2,15,7,14,7,15,1,14,16,15,11,14,8,7,3,8,1,7,4,8,2,7,1,14,2,3,1,16,1,3,1,18,1,4,13,18,1,3,8,14,3,15,4,14,3,15,9,14,10,15,2,7,2,14,7,3,1,14,1,3,4,18,1,19,4,4,6,3,2,18,1,4,61,3,5,4,6,19,4,4,4,18,1,3,1,16,2,3,1,16,17,3,1,16,4,3,1,4,37,18,1,3,1,16,3,3,1,16,3,3,1,14,1,15,2,14,1,3,3,16,7,15,1,10,1,18,1,14,3,18,5,3,1,16,2,3,3,16,13,3,1,4,12,19,2,4,1,3,1,16,58,3,1,19,1,4,1,19,2,4,25,3,1,16,32,3,1,4,1,19,4,4,5,19,2,4,2,19,1,3,1,16,4,3,3,9,1,18,1,16,9,3,1,16,2,3,3,16,7,3,1,18,1,3,3,18,2,4,6,18,4,3,2,18,1,10,1,4,4,18,1,3,2,16,40,3,4,16,1,3,1,19,1,4,306,18,7,14,1,3,1,16,4,14,3,3,1,16,4,3,2,18,1,3,2,16,7,3,1,18,1,4,4,18,2,10,1,18,1,3,2,18,1,4,1,19,6,4,8,19,4,4,4,19,3,4,1,18,4,3,3,16,222,3,6,4,5,3,1,16,2,3,4,18,1,4,1,19,3,4,560,},
{4,33,19,1,3,4,4,6,3,2,4,369,10,16,8,2,10,7,8,7,10,2,8,4,10,7,8,14,18,2,15,3,8,3,10,5,8,1,10,64,8,4,10,110,8,3,10,25,8,2,18,2,8,3,10,10,8,3,10,4,8,2,18,4,8,3,10,5,8,3,18,4,8,1,10,5,8,7,10,6,8,2,10,5,8,2,10,55,8,3,10,21,8,11,10,8,8,9,10,4,8,2,10,4,8,47,10,4,8,2,10,8,8,7,10,2,8,5,18,3,8,2,18,1,8,1,10,2,4,2,19,8,4,210,18,2,3,3,14,1,15,4,14,2,15,10,14,11,15,20,14,11,15,2,14,7,3,3,16,1,3,1,4,1,19,4,4,8,18,1,3,7,14,6,15,1,8,1,15,2,14,1,15,10,14,4,15,2,14,4,15,3,14,8,3,5,18,1,4,1,19,4,4,4,18,1,3,6,4,58,18,1,3,1,16,3,3,3,4,4,19,3,4,5,3,2,16,2,3,3,16,14,3,3,16,2,3,1,4,37,3,2,16,3,3,2,16,4,3,1,15,2,14,4,3,1,16,6,8,1,10,1,3,2,14,1,15,1,18,1,14,1,3,2,18,2,3,1,16,1,3,3,16,12,3,1,18,1,4,15,3,1,16,58,3,1,19,3,4,25,3,2,16,32,3,1,4,1,19,4,4,8,18,1,3,1,16,5,3,5,16,22,3,2,16,2,3,6,18,1,4,3,10,3,18,5,4,4,18,1,3,2,16,38,3,4,16,3,3,1,4,307,18,1,3,2,18,3,14,1,3,1,16,5,3,1,14,2,3,1,16,5,3,2,16,9,3,1,4,4,10,1,9,1,18,5,4,2,19,5,4,8,19,4,4,6,19,2,4,6,3,1,16,223,3,5,18,1,4,2,19,2,3,1,16,2,3,1,4,4,19,4,4,560,},
{4,34,18,1,3,2,18,1,4,6,19,2,4,369,10,17,8,1,10,7,8,7,10,3,8,3,10,8,8,9,18,2,15,7,8,3,10,5,8,6,10,59,8,4,10,110,8,3,10,26,8,5,10,11,8,3,10,4,8,2,18,4,8,2,10,2,8,7,18,4,8,1,10,5,8,6,10,14,8,2,10,53,8,3,10,6,8,3,10,13,8,4,18,1,8,5,10,10,8,5,10,2,8,2,10,3,8,3,10,4,8,42,15,2,8,4,10,1,8,3,10,7,8,5,10,1,8,3,10,2,8,5,15,1,18,1,8,3,18,1,8,1,10,2,4,2,19,7,4,213,18,1,3,3,14,1,15,3,14,2,15,13,14,8,15,5,14,2,15,7,14,24,3,6,18,1,19,6,4,5,18,1,3,6,14,2,15,1,14,4,15,2,8,3,15,1,14,1,15,10,14,4,15,2,14,4,15,3,14,8,3,4,18,1,4,4,19,1,4,4,18,1,3,1,16,5,3,2,4,57,3,1,16,6,3,2,4,2,19,4,4,1,18,5,3,1,16,3,3,2,16,14,3,6,4,35,18,1,3,8,16,5,14,9,16,3,3,1,15,1,8,1,3,1,16,1,3,1,14,1,15,1,3,1,16,2,3,1,14,1,3,3,14,1,3,3,16,5,3,2,16,2,3,1,18,1,4,16,18,1,3,1,16,55,3,2,4,1,19,3,4,24,18,1,3,1,16,32,3,1,4,2,19,3,4,8,18,1,3,1,16,10,3,2,16,27,3,2,16,3,3,1,18,1,4,1,10,4,18,5,4,4,18,2,3,1,16,17,3,1,16,20,3,1,16,5,3,1,4,308,18,2,3,2,18,2,3,1,16,2,3,4,14,3,3,1,16,16,18,1,4,2,18,3,3,2,18,2,3,1,18,1,4,2,19,4,4,8,19,5,4,2,18,1,4,10,3,1,16,224,3,2,16,2,3,2,4,1,19,3,3,1,16,1,3,1,4,3,19,5,4,560,},
{4,415,10,25,8,8,10,3,8,2,10,9,8,8,18,2,15,5,8,5,10,5,8,7,10,15,8,3,10,39,8,5,10,139,8,4,10,12,8,2,10,4,8,2,18,5,8,10,18,2,8,3,10,78,8,1,10,11,8,3,10,13,8,4,18,1,8,4,10,11,8,5,10,2,8,2,10,2,8,4,10,5,8,23,15,1,18,1,8,16,15,2,8,7,10,6,8,12,10,1,8,4,18,2,8,4,18,1,8,1,10,2,4,2,19,6,4,215,18,1,3,2,14,1,15,3,14,2,15,1,8,2,15,12,14,17,15,3,14,14,17,3,14,7,3,5,18,1,4,1,19,6,4,3,18,1,3,7,14,2,18,6,8,4,15,8,14,3,15,3,14,20,3,5,4,8,3,8,16,1,3,2,4,55,3,1,16,4,3,3,16,1,3,2,4,1,19,2,4,1,19,1,3,4,18,3,3,1,16,11,14,1,17,1,16,1,3,1,16,2,3,1,18,4,19,1,4,35,3,5,18,1,3,2,14,2,3,1,16,6,3,1,14,2,3,2,14,3,3,3,14,4,3,2,14,1,16,5,3,1,14,1,18,2,9,1,18,1,14,1,3,4,18,1,10,2,18,2,4,19,3,1,16,55,3,1,4,2,19,3,4,23,18,1,3,1,16,32,3,1,4,2,19,4,4,5,3,5,16,11,14,1,3,1,16,13,3,1,14,2,3,1,16,16,3,2,10,3,4,3,18,1,3,2,4,4,18,1,3,1,16,24,3,1,16,3,3,2,16,14,3,1,4,309,18,2,3,2,18,2,16,2,14,1,9,2,8,2,15,2,14,1,3,4,16,12,3,9,18,1,3,1,18,1,4,2,19,4,4,8,19,6,4,12,3,1,16,229,3,1,18,1,19,4,3,3,18,1,4,2,19,4,4,560,},
{4,56,19,1,4,354,10,2,4,2,10,15,8,2,10,2,8,14,10,3,8,2,10,10,8,9,18,4,8,6,10,5,8,8,10,54,8,4,10,158,8,2,10,4,8,2,18,5,8,5,18,1,8,6,10,109,8,8,10,12,8,9,10,3,8,3,10,5,8,22,18,1,15,2,8,25,10,4,8,2,18,3,8,15,18,1,8,4,18,1,8,1,10,2,4,3,19,5,4,215,18,2,3,1,14,2,15,1,8,1,15,3,8,2,15,12,14,18,15,1,14,14,3,1,16,4,3,2,14,2,3,6,18,1,4,2,19,6,4,2,18,1,3,6,18,1,15,2,14,1,15,2,18,2,8,5,15,9,14,26,3,4,18,1,4,8,3,3,14,1,18,2,14,1,3,2,16,1,3,2,4,53,19,1,16,4,3,4,16,2,3,2,19,2,18,1,3,1,16,3,3,1,18,1,10,2,18,1,16,17,3,1,18,3,4,37,3,1,16,2,3,1,18,1,9,1,18,1,3,3,18,1,3,1,16,6,3,1,16,3,14,1,15,1,14,4,16,1,3,1,14,2,3,2,14,1,16,5,3,1,14,1,3,1,18,1,9,1,10,2,18,2,3,1,18,1,9,1,10,3,18,1,4,19,3,1,16,55,3,1,19,5,4,23,3,1,16,33,18,1,4,1,19,5,4,4,19,1,3,1,16,1,3,6,16,8,3,2,16,13,3,3,16,19,3,1,18,1,4,5,3,2,18,1,4,3,18,1,3,1,16,3,3,1,16,12,3,2,16,5,3,3,16,2,3,3,16,10,3,3,19,1,4,311,18,2,4,2,3,2,9,1,10,3,18,1,14,3,3,4,16,17,3,5,18,2,4,2,19,4,4,8,19,6,4,9,18,1,4,2,3,4,18,1,3,1,16,225,3,1,4,1,19,3,4,1,3,2,18,1,4,2,19,3,4,561,},
{4,54,18,1,3,2,18,1,4,353,10,19,8,18,10,3,8,1,10,11,8,18,10,6,8,5,18,1,8,2,10,53,8,4,10,159,8,2,10,4,8,1,18,2,8,2,18,2,8,4,18,2,8,2,10,114,8,2,10,16,8,8,10,15,8,20,15,3,8,16,10,3,8,2,18,2,8,2,10,4,8,2,18,1,15,1,18,1,8,22,10,2,4,2,19,6,4,216,18,1,3,2,14,1,15,4,8,3,15,12,14,33,3,3,16,3,3,8,18,1,4,3,19,6,4,2,3,5,14,1,15,4,14,2,15,3,8,4,15,9,14,9,15,6,14,9,3,3,14,1,18,2,14,1,18,1,4,7,18,2,3,1,14,1,7,1,8,3,14,2,3,4,18,2,4,18,18,1,3,5,18,1,4,24,18,1,3,1,16,5,3,3,16,3,3,4,16,4,3,2,10,3,3,1,16,4,3,2,16,10,3,2,18,2,4,37,3,1,16,2,3,2,18,1,3,7,16,10,14,4,17,1,16,2,14,2,16,2,14,1,3,1,16,5,3,1,16,1,3,2,18,1,10,2,18,6,3,4,4,16,3,1,16,56,3,1,19,4,4,24,3,1,16,32,3,1,4,2,19,5,4,4,3,1,16,3,3,6,16,10,3,1,16,10,3,2,16,21,3,2,4,2,19,2,4,1,18,1,3,3,18,1,9,1,15,1,3,1,16,2,14,1,15,1,3,1,16,11,3,2,16,4,3,14,16,1,3,4,19,1,4,319,18,1,10,3,9,1,14,1,3,4,16,7,3,3,16,10,14,1,18,2,3,2,18,2,4,2,19,4,4,23,18,1,3,4,18,1,10,1,4,2,3,1,16,224,3,2,4,1,19,4,4,1,19,7,4,560,},
{4,54,3,3,18,1,4,353,10,18,8,18,10,4,8,1,10,11,8,5,10,5,8,5,15,1,8,2,10,8,8,6,10,53,8,3,10,159,8,3,10,4,8,1,18,2,8,3,18,1,8,4,18,2,8,2,10,127,8,5,10,1,8,7,10,15,8,20,18,1,15,1,18,1,8,2,10,2,8,11,10,3,8,3,18,2,8,2,10,2,8,2,18,5,8,5,18,1,8,2,18,1,8,13,10,2,4,2,19,5,4,217,18,1,3,3,14,1,8,4,15,14,14,33,3,5,16,2,3,5,18,1,4,6,19,4,4,3,3,4,14,1,15,1,14,2,15,17,14,2,15,5,14,4,15,3,8,3,15,2,14,7,3,4,14,1,8,1,10,1,9,1,10,2,4,4,18,2,3,1,18,2,15,1,7,1,8,4,15,1,14,2,3,4,18,2,4,15,18,1,3,1,16,5,3,1,18,1,4,23,3,1,16,20,3,3,9,1,18,1,3,1,16,3,3,3,16,10,3,3,18,1,4,38,3,2,16,1,3,4,16,1,3,2,14,1,3,2,16,11,17,3,16,2,17,2,16,2,14,1,17,1,16,9,14,1,9,1,10,2,18,2,3,4,16,2,3,1,4,16,3,1,16,55,3,1,18,1,19,4,4,23,3,1,16,33,3,1,4,3,19,4,4,4,3,2,16,2,3,3,18,1,14,1,3,3,16,11,3,1,14,1,3,1,16,5,14,1,3,1,16,21,3,2,18,1,4,1,19,3,4,1,18,1,3,2,15,3,14,1,16,2,15,1,9,1,8,1,14,1,16,9,3,8,19,1,4,2,3,1,18,1,4,2,18,2,4,2,18,1,3,2,19,1,4,324,10,3,9,1,18,1,3,1,14,1,3,2,16,8,3,3,16,8,3,1,18,4,3,1,18,3,4,2,19,2,4,24,18,1,3,3,18,1,10,2,4,3,3,1,16,221,3,5,19,12,4,560,},
{4,54,3,3,4,354,10,18,8,17,10,4,8,2,10,10,8,5,10,6,8,9,10,8,8,5,10,54,8,2,10,30,8,1,10,128,8,3,10,4,8,2,18,1,8,7,18,3,8,2,10,122,8,9,10,3,8,2,10,1,8,3,10,9,8,2,10,3,8,25,10,2,8,13,10,2,8,3,18,1,8,3,10,1,8,2,18,1,15,2,18,1,8,6,18,2,8,2,18,2,8,12,10,2,4,225,18,1,3,2,14,1,8,3,15,6,14,1,15,6,14,3,15,2,14,29,3,7,16,1,3,4,18,1,4,13,18,1,3,4,14,5,15,24,14,3,15,2,8,5,15,2,14,8,3,3,18,1,10,7,18,1,3,4,18,1,14,1,7,4,15,2,14,2,3,7,4,14,3,1,16,7,3,1,18,1,4,22,3,1,16,9,3,4,16,2,3,5,16,3,3,5,16,1,3,2,16,6,14,3,3,1,16,1,3,2,18,1,4,40,3,1,16,4,3,4,14,4,16,11,17,2,16,3,17,3,16,5,3,2,16,3,3,2,18,1,4,3,18,1,3,4,16,2,3,1,4,16,3,1,16,55,3,1,4,1,19,4,4,22,3,2,16,32,3,1,18,1,4,11,19,1,3,12,16,12,3,2,16,2,3,1,14,2,16,10,3,2,14,2,3,2,16,4,3,2,18,3,4,1,19,4,4,2,18,2,15,1,8,1,15,3,8,3,18,1,14,1,3,2,16,5,3,8,4,340,10,4,9,2,10,1,9,1,3,1,16,9,3,1,18,2,3,1,16,6,3,1,18,3,9,1,18,2,3,1,18,1,4,26,18,3,3,3,18,3,4,4,3,1,16,219,3,5,18,1,19,8,4,564,},
{4,54,3,2,4,354,9,1,10,12,8,1,10,5,8,5,10,6,8,5,10,4,8,4,10,8,8,3,10,9,8,10,10,9,8,1,10,72,8,1,10,13,8,2,10,19,8,6,10,99,8,1,10,3,8,4,10,5,8,2,10,2,8,3,18,5,8,2,10,121,8,9,10,7,8,3,10,8,8,30,10,2,8,7,10,2,8,16,18,1,15,3,8,11,18,2,8,12,10,2,4,226,18,1,3,1,14,1,8,3,15,1,14,1,15,1,14,7,15,3,14,3,15,1,14,19,15,4,14,5,3,4,18,1,4,2,18,1,3,3,18,2,4,16,3,5,14,4,15,20,8,2,15,8,8,2,15,12,14,1,3,2,14,1,9,1,10,5,18,1,3,4,18,1,15,1,14,1,7,1,14,8,3,6,18,1,4,13,3,1,16,7,3,6,4,18,3,1,16,10,3,3,16,2,3,2,18,1,3,2,16,4,3,8,16,5,14,3,3,4,4,41,18,1,3,2,16,1,3,6,14,4,17,1,16,9,17,1,16,4,17,1,14,1,17,1,16,4,14,2,3,1,16,2,3,3,18,1,4,4,3,4,16,2,3,1,4,16,18,1,3,1,16,53,3,1,18,1,4,2,19,2,4,22,19,1,3,1,16,32,3,2,4,14,18,2,3,4,14,1,3,2,14,1,3,2,16,11,14,1,15,1,14,2,15,2,3,1,16,10,3,2,18,5,3,2,14,1,18,1,8,1,18,3,4,2,19,4,4,2,18,2,15,1,8,1,9,1,8,1,15,1,8,1,10,1,8,1,18,3,3,1,16,3,3,2,18,2,4,345,18,1,9,3,18,2,10,1,18,1,3,1,16,9,3,1,18,1,10,1,18,1,16,7,3,2,18,1,10,1,18,2,3,1,18,1,4,25,18,1,3,1,18,9,4,3,3,1,16,218,3,2,18,1,4,2,18,1,4,2,19,7,4,564,},
{4,53,18,3,4,354,9,1,8,1,10,11,8,1,10,6,8,2,10,9,8,4,10,3,8,5,10,7,8,3,10,6,8,17,10,23,8,3,10,30,8,2,10,49,8,14,10,98,8,1,10,2,8,5,10,5,8,2,10,3,8,2,18,4,8,3,10,53,8,5,10,63,8,8,10,8,8,3,10,8,8,16,10,2,8,12,10,1,8,7,10,3,8,3,15,4,18,1,8,7,18,1,15,3,18,1,8,4,18,1,8,20,10,2,4,226,18,1,3,1,18,1,8,3,15,1,14,35,15,3,14,5,3,2,16,1,3,2,18,1,4,19,19,3,4,2,18,1,3,1,14,8,15,3,8,6,15,1,14,2,15,18,14,3,15,3,8,2,15,2,18,1,8,3,15,1,14,2,9,1,10,5,18,1,3,2,14,1,18,2,15,2,7,2,14,1,7,1,14,1,7,1,14,3,15,2,14,1,3,1,16,2,3,1,18,1,4,12,18,1,3,1,16,4,3,5,16,3,3,1,18,1,4,16,3,1,16,15,3,1,14,3,3,1,16,5,3,8,16,4,14,2,3,2,16,1,3,1,18,1,4,43,19,1,3,9,14,2,3,1,16,3,17,1,16,5,17,1,16,4,17,2,16,5,3,1,14,3,15,2,14,1,3,1,18,1,4,3,18,1,3,4,16,2,3,1,4,17,3,1,16,53,3,1,4,26,18,1,3,1,16,33,3,1,4,15,18,3,14,1,3,1,18,2,14,2,15,1,14,1,3,5,16,7,15,1,9,1,15,1,14,1,3,1,16,8,3,2,16,3,3,3,14,1,8,1,9,1,18,4,8,1,18,4,4,1,19,5,4,2,14,2,15,1,8,1,18,1,15,2,8,2,18,4,3,4,4,19,18,2,3,1,18,1,3,2,18,1,4,322,18,2,9,1,18,1,3,4,16,1,3,3,16,2,3,6,9,1,10,1,18,1,3,2,16,5,3,1,18,5,4,22,3,6,18,3,10,3,18,2,3,5,16,217,3,3,18,1,4,6,19,5,4,565,},
{4,410,8,2,10,4,8,3,10,22,8,5,10,1,8,7,10,6,8,2,10,18,8,6,10,11,8,1,10,11,8,3,10,29,8,3,10,48,8,15,10,100,8,6,10,10,8,1,18,4,8,2,10,7,8,1,10,47,8,3,10,80,8,4,10,5,8,1,10,1,8,15,10,3,8,27,15,2,14,2,15,1,8,6,18,1,15,4,8,5,18,1,8,20,10,2,4,227,18,2,15,1,8,2,15,1,14,42,3,2,16,2,3,1,18,1,4,19,19,5,4,2,18,2,14,8,15,2,8,3,10,1,8,2,15,1,14,2,15,14,14,1,15,2,14,4,15,2,8,3,15,3,18,1,8,2,18,1,15,1,14,1,15,1,8,1,10,3,18,1,14,6,15,1,7,3,6,1,7,3,14,1,6,1,14,2,15,2,3,1,16,2,3,2,18,1,4,12,3,2,16,2,3,5,16,4,3,1,18,1,4,16,3,1,16,15,14,3,3,3,16,7,3,5,16,6,3,4,4,46,18,1,3,5,18,2,14,8,16,4,17,1,16,4,17,1,14,2,17,1,16,1,17,1,14,1,3,1,14,2,15,1,8,2,18,2,4,5,18,2,3,5,4,17,3,1,16,52,3,2,4,26,3,1,16,34,3,1,4,15,18,1,10,2,18,2,8,1,18,3,8,1,18,1,14,2,15,1,18,1,15,1,14,2,3,2,16,2,3,1,14,3,3,2,16,7,3,2,14,1,3,1,16,3,3,2,14,1,8,1,10,1,8,5,18,4,4,1,19,6,4,1,18,14,3,2,18,1,4,16,18,1,3,9,4,322,18,3,3,2,16,4,3,2,18,3,14,1,18,3,3,2,18,1,10,2,8,1,14,1,16,6,3,1,18,3,4,3,19,2,4,18,19,1,3,1,18,2,3,1,18,2,10,6,18,1,3,2,16,221,3,3,4,7,19,2,4,567,},
{4,55,19,1,18,1,4,353,9,1,10,5,8,3,10,17,8,2,10,4,8,9,10,1,8,3,10,5,8,1,10,22,8,4,10,22,8,3,10,29,8,4,10,46,8,8,10,2,8,5,10,102,8,5,10,10,8,1,18,4,8,1,10,8,8,1,10,20,18,1,10,105,8,2,10,1,8,2,18,1,8,2,10,4,8,3,10,1,8,4,10,1,8,8,10,3,8,6,10,2,8,6,18,2,8,14,15,3,8,6,15,4,8,4,18,1,15,1,18,2,8,11,18,1,8,3,10,1,8,3,10,2,4,19,19,10,4,4,19,4,4,190,18,2,15,1,8,1,15,2,14,23,7,1,14,17,3,3,16,2,3,1,4,20,19,6,4,2,8,1,15,1,14,6,15,1,8,8,15,9,14,5,15,3,14,2,15,2,14,3,15,1,8,4,15,1,14,4,15,1,18,1,15,1,14,1,3,7,14,1,15,1,3,3,14,1,7,2,6,2,7,3,14,1,17,1,16,1,14,3,3,7,4,12,3,1,16,1,3,6,16,3,3,1,18,1,4,17,3,1,16,3,17,2,16,10,3,1,14,1,3,7,16,5,3,4,14,3,17,1,16,3,3,2,18,1,4,47,3,4,18,1,4,2,18,1,3,1,14,5,17,1,16,9,17,1,14,1,7,1,14,4,3,1,14,5,18,2,4,3,18,1,4,4,3,3,18,1,4,14,18,1,3,3,16,52,3,1,4,27,3,1,16,34,3,1,4,14,18,2,10,2,9,1,8,1,9,2,8,1,10,2,9,1,15,2,8,1,10,1,8,1,15,3,14,3,3,1,16,4,14,2,16,2,3,3,16,1,3,1,14,1,18,2,3,5,14,1,15,1,8,1,18,2,8,3,18,4,4,1,19,6,4,1,18,9,9,2,18,5,4,16,3,2,16,8,3,1,4,2,18,1,3,3,18,1,4,310,19,1,4,3,18,1,3,7,16,2,3,2,18,1,8,1,9,1,18,3,14,1,3,2,18,1,10,2,8,1,18,1,3,1,16,5,3,1,18,1,4,3,19,4,4,26,10,5,18,2,3,1,16,222,3,3,18,1,4,574,},
{4,58,19,2,4,350,10,6,8,3,10,17,8,20,10,80,8,1,10,5,8,2,10,10,8,2,10,18,8,1,10,13,8,10,10,108,8,8,10,9,8,1,18,3,8,1,10,9,8,1,10,126,8,2,10,2,8,3,10,6,8,1,10,6,8,7,10,5,8,6,10,2,8,6,18,2,8,6,18,1,15,3,8,5,15,1,18,1,8,5,15,4,8,4,18,1,15,2,18,2,8,11,18,1,8,2,10,1,8,4,10,2,4,15,19,15,4,2,19,6,4,189,18,2,15,3,14,10,15,2,14,28,3,7,18,1,4,21,19,4,4,3,10,1,8,1,14,6,15,1,8,10,15,7,14,5,15,3,14,1,15,3,14,8,3,1,16,1,3,2,14,1,15,1,18,1,15,1,14,1,3,2,16,4,3,1,14,2,16,2,3,1,14,3,17,2,14,2,7,1,14,1,17,1,16,2,14,3,3,4,16,1,3,2,4,11,18,1,3,11,4,18,3,1,16,3,17,2,16,10,3,2,16,2,3,6,16,4,3,5,14,2,3,1,16,2,3,2,18,1,4,49,18,3,4,3,18,1,16,1,14,5,17,1,14,1,17,2,16,6,17,1,14,1,15,2,14,3,3,2,14,2,3,2,18,1,4,9,18,1,3,1,18,1,4,15,3,4,16,51,3,1,18,1,4,27,3,1,16,34,3,1,4,13,18,1,3,2,18,1,9,1,18,5,8,1,10,1,8,1,15,2,8,6,15,1,14,2,3,1,16,4,3,1,14,1,3,2,18,2,3,3,14,1,9,2,15,1,14,3,3,2,14,6,18,5,4,2,19,5,4,8,18,4,3,2,18,1,4,17,18,1,3,1,16,9,3,4,16,1,3,4,19,1,4,307,19,4,4,1,18,2,3,2,18,1,4,1,18,1,3,4,14,1,18,1,10,3,18,2,14,1,3,1,14,1,9,1,10,1,8,1,18,3,14,1,3,1,16,3,3,1,18,1,4,2,19,5,4,18,19,3,4,5,18,4,9,1,10,2,3,1,16,224,3,2,4,574,},
{4,56,19,4,4,350,10,7,8,2,10,18,8,11,10,2,8,8,10,77,8,3,10,17,8,1,10,17,8,3,10,11,8,5,10,4,8,4,10,6,8,2,10,96,8,3,18,3,8,7,10,7,8,6,10,65,8,1,10,87,8,6,10,7,8,7,10,1,8,3,10,2,8,12,15,1,8,10,15,5,8,5,15,2,18,3,8,17,18,2,8,1,10,1,4,14,19,16,4,2,19,6,4,189,18,2,14,11,15,4,14,16,7,2,14,9,3,3,16,1,3,1,18,1,4,23,19,3,4,4,18,1,8,1,7,1,14,6,15,4,14,1,15,2,8,4,15,7,14,6,15,2,8,1,15,2,14,3,8,1,15,1,16,7,3,1,15,5,14,2,3,1,16,2,3,1,14,1,16,6,17,1,14,2,17,1,16,1,17,1,14,1,7,1,14,1,17,2,14,6,3,2,16,1,3,2,4,11,18,3,3,8,4,18,3,1,16,15,17,1,16,4,3,6,16,4,3,6,16,1,3,3,18,1,4,49,19,5,4,2,3,2,16,1,3,2,14,5,17,1,16,6,17,1,14,3,15,2,14,1,3,2,14,3,3,2,18,1,4,2,19,2,4,3,19,1,4,18,3,4,16,51,3,1,4,27,3,1,16,35,3,1,4,10,3,2,18,2,3,9,14,1,15,1,14,1,3,2,14,3,15,2,14,1,3,4,16,6,3,1,14,2,15,1,14,2,15,2,18,3,15,1,14,3,3,1,16,2,3,2,16,1,3,1,14,1,15,1,3,1,18,1,4,6,19,4,4,6,18,3,3,3,18,1,4,16,18,2,3,1,16,10,3,2,16,5,3,4,18,1,4,2,3,2,18,1,4,299,19,5,4,7,10,1,18,5,8,1,10,3,18,4,10,1,9,1,18,1,3,1,14,1,18,1,10,1,3,1,16,2,3,1,4,3,19,6,4,18,19,5,4,3,18,5,10,3,3,1,16,223,3,2,4,574,},
{4,56,19,4,4,350,10,28,8,10,10,2,8,8,10,77,8,3,10,9,8,2,10,6,8,3,10,2,8,2,10,10,8,4,10,10,8,6,10,113,8,6,10,2,8,4,10,9,8,6,10,47,8,2,10,13,8,3,10,86,8,6,10,6,8,10,10,7,8,11,18,2,8,7,15,5,8,27,18,1,8,2,10,1,4,14,19,16,4,2,19,6,4,189,18,1,3,1,14,3,15,2,14,6,15,4,14,16,7,3,14,8,3,5,4,29,18,3,15,1,7,2,14,5,15,3,14,3,15,1,8,3,15,3,8,1,15,14,14,4,15,1,14,1,16,7,14,1,8,1,9,1,15,1,14,4,3,1,16,2,3,1,16,8,14,3,16,2,14,1,7,2,6,1,17,2,14,4,15,1,14,1,3,1,16,2,3,1,4,12,10,1,18,1,3,6,16,1,3,1,18,2,3,1,18,1,4,14,16,21,3,7,16,3,3,9,18,1,4,49,19,6,4,1,3,3,16,2,3,3,14,6,17,1,16,2,17,2,14,4,15,2,14,1,3,1,14,1,15,1,14,2,18,2,4,2,19,2,4,2,19,2,4,18,18,1,3,1,18,1,3,1,16,51,3,1,4,26,18,1,3,1,16,35,3,1,4,10,3,2,18,1,4,1,18,1,3,5,16,2,3,12,16,10,3,1,15,1,14,1,15,1,18,2,15,1,14,1,3,1,14,1,15,2,14,4,16,6,3,1,14,1,3,2,18,1,4,6,19,5,4,5,18,5,4,16,18,3,3,1,16,19,3,5,16,2,3,3,18,1,4,296,19,6,4,6,10,1,18,7,10,2,18,4,10,2,18,1,3,1,18,1,9,1,10,1,18,1,16,2,3,1,4,3,19,5,4,19,19,5,4,3,18,5,10,3,18,1,3,1,16,214,3,2,16,2,3,3,16,1,3,2,18,1,4,573,},
{4,56,19,6,4,348,10,27,8,21,10,77,8,10,10,1,8,2,10,7,8,8,10,5,8,15,10,5,8,6,10,132,8,6,10,43,8,6,10,13,8,3,10,86,8,5,10,8,8,9,10,6,8,7,10,1,8,5,18,3,8,9,15,4,8,26,10,2,4,14,19,16,4,2,19,6,4,189,18,1,3,1,14,2,15,4,14,1,15,8,14,16,7,3,14,8,3,3,18,1,4,27,18,2,3,3,14,2,7,3,14,5,15,2,14,2,15,1,8,4,14,2,8,2,15,12,14,4,17,1,16,8,3,1,14,1,15,1,9,2,15,1,3,5,16,11,14,3,16,2,14,1,7,2,6,1,17,2,14,6,3,2,16,1,3,1,18,1,4,11,18,2,3,12,4,14,16,19,17,1,3,3,16,2,3,9,14,2,3,3,18,2,4,49,19,6,3,3,16,7,14,6,16,2,14,6,15,2,14,3,15,2,18,2,4,4,19,6,4,15,18,2,4,2,10,1,18,1,3,1,16,24,17,1,16,24,3,1,18,1,4,26,3,1,16,36,3,1,4,10,18,2,4,3,18,2,3,3,16,3,3,11,16,11,3,1,18,3,14,2,3,1,16,2,3,1,14,3,15,2,14,1,16,6,3,1,16,1,3,2,18,2,4,5,19,5,4,25,3,2,18,1,3,2,16,7,3,2,16,4,3,2,16,2,3,6,16,5,3,1,4,296,19,6,4,5,18,2,3,5,14,1,18,1,10,2,18,4,4,3,18,1,10,3,18,1,16,2,3,1,18,1,4,1,19,5,4,20,19,6,4,4,18,4,10,2,18,3,3,1,16,214,3,2,4,2,18,1,3,4,4,573,},
{4,56,19,6,4,348,10,22,8,26,10,74,8,4,10,1,8,11,10,7,8,8,10,4,8,17,10,7,8,3,10,131,8,6,10,44,8,6,10,13,8,3,10,65,8,1,10,20,8,4,10,9,8,9,10,3,8,9,10,4,8,3,18,1,15,2,18,1,8,8,15,4,8,26,10,2,4,14,19,15,4,4,19,4,4,190,18,1,3,1,14,1,15,2,8,2,15,7,14,19,7,3,14,6,3,5,4,2,19,1,4,23,18,1,3,6,14,2,7,1,8,2,15,1,14,4,15,5,8,3,15,1,14,2,15,1,8,1,15,4,8,7,15,1,14,2,16,10,14,1,15,3,8,2,14,1,3,2,16,14,14,6,7,1,14,1,6,1,17,1,6,1,14,5,3,5,4,10,18,2,3,3,18,3,3,9,4,13,3,1,16,17,14,3,3,1,16,4,3,12,18,2,4,50,19,5,4,1,3,2,16,9,17,1,14,4,17,1,16,1,17,1,14,1,17,2,14,8,18,3,4,5,19,6,4,14,3,2,18,1,4,1,10,1,18,1,3,1,16,24,14,1,16,24,3,1,4,27,3,1,16,35,3,1,18,1,4,16,18,2,14,1,3,5,14,2,3,8,16,11,3,2,14,1,3,4,16,2,3,1,14,3,8,2,15,1,3,1,16,8,3,1,18,2,4,3,18,1,4,1,19,5,4,24,18,1,3,3,18,2,3,1,16,6,3,2,16,4,3,2,16,1,3,4,16,1,3,1,16,6,3,1,19,1,4,295,19,6,4,3,18,2,3,7,14,1,18,1,10,2,4,8,10,2,18,1,3,4,18,1,4,1,19,5,4,20,19,7,4,3,18,7,10,2,18,1,3,1,16,213,3,1,18,1,4,4,3,2,18,1,4,573,},
{4,56,19,5,4,349,10,21,8,26,10,39,8,3,10,32,8,4,10,3,8,7,10,2,8,2,10,7,8,2,10,6,8,10,10,2,8,8,10,192,8,5,10,12,8,3,10,49,8,2,10,14,8,2,10,19,8,4,10,11,8,7,10,4,8,7,10,4,8,4,18,5,8,8,15,5,8,25,10,2,4,14,19,12,4,201,3,2,14,1,15,2,8,2,15,5,14,21,15,1,8,1,7,1,14,6,3,4,18,1,4,1,19,3,4,21,18,1,3,5,14,4,7,3,15,7,8,6,15,1,14,2,15,1,8,1,15,2,8,9,15,1,14,1,3,1,16,8,3,1,14,1,8,2,15,4,14,2,3,1,16,14,3,1,14,6,17,3,14,1,7,2,14,3,3,5,4,9,3,6,18,2,8,1,15,1,14,2,3,5,16,1,3,1,19,1,4,11,3,1,16,16,17,2,14,1,17,1,16,6,3,1,14,1,18,1,14,1,3,1,16,2,3,3,18,1,4,34,3,8,4,16,18,1,3,1,16,3,3,2,16,7,14,3,17,1,16,3,17,1,14,6,3,1,14,1,18,3,3,5,4,1,19,5,4,1,18,2,3,1,18,3,4,7,3,1,16,1,3,1,18,3,3,1,16,2,3,3,16,19,17,1,16,23,3,1,4,2,19,1,4,25,3,1,16,35,3,1,4,17,10,1,9,1,18,1,15,1,14,1,3,2,14,1,18,1,15,1,3,9,16,11,3,1,16,3,3,2,16,1,3,1,14,1,15,1,14,2,15,1,8,1,15,1,14,1,3,4,16,4,3,1,18,3,4,2,18,1,4,2,19,3,4,22,18,1,3,1,18,4,3,2,18,2,3,3,16,12,3,3,16,10,3,1,18,1,3,2,4,296,19,3,4,2,18,2,3,5,18,3,9,1,10,2,4,8,10,1,18,1,3,3,18,1,4,2,19,5,4,21,19,8,4,3,18,1,10,2,18,4,10,1,18,1,3,1,16,213,3,2,18,1,4,579,},
{4,56,19,4,4,350,10,18,8,15,10,3,8,4,10,1,8,6,10,6,8,1,10,32,8,5,10,29,8,2,18,1,8,2,10,4,8,3,10,6,8,2,10,13,8,7,10,6,8,7,10,23,8,2,10,163,8,1,10,89,8,2,10,55,8,5,18,4,8,9,15,4,8,27,10,1,4,2,18,2,4,11,19,5,4,4,19,1,4,202,3,2,14,2,15,1,8,1,15,2,14,1,15,1,14,22,7,1,15,1,8,1,15,5,14,2,3,4,4,1,19,4,4,19,18,1,3,5,14,4,15,1,7,4,15,5,8,9,15,6,8,5,15,3,8,1,15,2,14,1,16,4,14,5,15,1,8,2,15,1,14,6,3,1,16,13,3,2,14,5,16,2,17,1,7,3,14,4,3,3,18,1,4,8,3,6,14,1,18,2,8,2,15,1,14,1,3,1,16,2,3,2,16,1,3,1,18,1,4,11,3,1,16,17,17,3,16,6,3,1,15,1,18,1,14,1,3,1,16,3,3,2,4,35,3,1,16,6,3,1,4,17,3,2,16,1,3,4,16,6,14,3,16,5,17,2,16,1,3,2,14,1,3,1,14,1,18,2,3,4,16,1,3,1,4,1,19,4,4,2,3,6,18,1,4,6,3,7,16,2,3,1,4,2,3,1,16,4,3,2,16,12,17,1,16,23,3,1,19,4,4,24,3,1,16,34,3,1,4,13,18,1,4,3,18,1,9,1,10,1,9,2,18,4,9,1,18,1,14,1,3,5,14,2,3,2,16,15,3,3,14,2,3,2,14,1,15,1,8,2,15,1,14,3,3,1,16,3,3,1,18,4,4,28,18,1,3,3,18,3,3,2,18,3,3,5,16,9,3,3,16,11,3,4,4,295,19,4,4,3,18,1,3,2,18,1,4,4,10,3,4,8,18,1,3,1,16,1,3,2,4,2,19,6,4,22,19,7,4,4,10,2,18,4,10,1,18,1,3,1,16,212,3,4,18,1,4,578,},
{4,410,10,18,8,15,10,8,8,6,10,6,8,3,10,30,8,5,10,28,8,2,18,2,8,2,10,13,8,2,10,13,8,5,10,8,8,3,10,26,8,3,10,163,8,1,10,145,8,5,18,1,15,2,18,2,8,9,15,1,8,1,15,1,8,29,10,3,9,2,10,1,4,221,18,1,3,1,14,2,15,2,14,26,7,1,15,1,8,1,15,2,8,1,15,2,14,2,3,3,18,1,4,1,19,4,4,17,18,1,3,8,14,2,15,1,8,3,7,2,15,4,8,4,15,5,8,2,15,5,8,4,15,4,8,1,15,2,14,1,16,3,14,1,15,2,14,2,15,1,8,2,15,2,14,6,3,1,16,10,17,2,3,3,14,4,17,3,14,1,7,1,8,1,7,1,14,4,18,3,4,8,3,6,18,3,15,1,14,1,15,1,14,1,3,1,16,3,3,3,18,1,4,12,3,1,16,17,17,4,14,2,3,2,16,1,3,1,14,1,18,1,14,1,3,1,16,3,3,1,18,1,4,33,18,1,3,1,16,2,3,2,16,4,3,1,4,17,3,3,14,1,3,2,16,6,14,1,15,1,14,1,16,8,3,1,14,1,15,1,14,1,18,1,9,1,18,1,3,1,16,3,3,2,19,4,4,3,3,6,4,8,3,4,16,4,3,1,4,2,3,1,16,4,3,4,16,10,14,1,16,22,3,1,18,1,19,4,4,24,3,1,16,34,3,1,4,12,3,5,18,1,9,1,10,3,9,1,18,1,9,3,18,1,15,1,3,3,14,1,15,1,18,1,15,2,14,1,3,3,16,12,3,5,16,1,3,2,14,1,9,2,15,1,14,4,3,7,18,1,4,28,18,2,3,1,18,1,15,1,18,2,9,1,18,1,3,1,16,1,3,2,16,2,3,2,16,8,3,3,16,15,3,2,4,294,19,7,4,15,18,2,4,2,3,1,16,1,3,3,18,1,4,1,19,5,4,24,19,7,4,2,18,1,10,3,18,2,10,2,18,2,3,1,16,210,3,6,18,1,4,577,},
{4,54,18,1,3,1,18,2,4,352,10,20,8,2,10,1,8,8,10,10,8,6,10,6,8,3,10,31,8,10,10,22,8,5,10,30,8,4,10,8,8,2,10,28,8,2,10,133,8,1,10,177,8,3,18,1,15,4,18,1,8,4,15,5,8,30,18,1,8,1,10,3,8,2,4,14,10,2,4,205,18,1,3,1,14,2,15,2,14,27,7,1,15,3,8,2,14,2,3,4,4,2,19,3,4,17,18,1,3,8,14,2,15,2,8,3,7,2,15,9,14,3,15,2,8,2,15,4,8,4,15,6,14,5,15,1,8,2,15,1,14,1,15,6,14,4,16,11,17,2,14,1,3,3,14,8,7,2,14,4,18,2,4,8,3,7,18,1,9,2,18,1,14,4,16,5,3,2,4,13,3,1,16,19,17,2,14,3,3,1,16,1,3,1,14,3,3,1,16,3,3,1,4,34,3,1,16,9,3,1,18,1,4,15,18,1,3,2,18,2,3,2,16,5,14,1,15,1,7,1,17,1,16,8,14,2,15,1,14,1,15,1,18,1,14,1,16,4,3,1,4,2,19,3,4,2,18,1,3,2,16,2,3,2,4,10,3,1,16,5,3,1,4,2,18,1,3,1,16,3,3,4,16,9,17,1,14,1,17,1,16,21,3,1,4,1,19,3,4,25,3,1,16,34,3,1,4,12,3,1,16,1,3,3,14,1,18,1,9,1,10,1,9,1,18,1,15,1,18,1,9,3,18,1,15,3,18,2,15,2,14,3,3,4,16,11,3,1,16,6,3,1,14,9,3,6,18,1,4,27,18,7,10,1,18,1,3,1,16,5,3,2,16,8,3,3,16,16,3,2,4,293,19,8,4,14,3,1,18,1,4,2,3,1,16,1,3,3,18,1,4,1,19,5,4,25,19,7,4,2,18,1,10,1,18,5,9,1,10,1,18,1,16,210,3,1,18,1,3,2,18,2,3,2,4,576,},
{4,54,3,3,18,2,4,3,19,4,4,344,10,23,8,7,10,11,8,5,10,44,8,14,10,15,8,5,10,6,8,3,10,16,8,4,10,7,8,8,10,163,8,1,10,24,8,1,10,31,8,2,10,113,8,1,10,7,8,2,18,1,15,4,8,3,15,6,8,32,10,5,4,14,10,2,4,205,18,1,3,1,14,2,15,2,14,30,15,3,14,1,3,4,18,1,19,4,4,17,18,1,3,4,14,8,15,1,8,3,15,1,14,4,15,3,14,7,15,2,8,1,15,6,8,1,15,6,14,5,15,2,8,2,14,2,15,7,14,2,17,1,16,10,14,21,18,1,4,6,18,1,3,8,18,1,9,3,18,1,14,3,17,1,16,5,3,2,18,1,4,8,19,2,4,2,3,1,16,2,17,1,16,6,17,3,16,3,17,2,16,1,17,2,14,5,16,2,3,1,14,1,15,1,14,1,3,1,16,2,3,1,4,34,3,1,16,10,3,1,4,15,3,2,18,2,14,1,3,5,14,3,7,2,16,8,14,1,15,3,3,2,14,2,3,2,16,1,3,1,18,1,4,6,18,1,3,1,16,4,3,1,19,1,4,10,3,1,16,5,3,1,4,2,18,1,3,1,16,4,3,4,16,8,14,5,16,19,3,1,4,1,19,3,4,22,19,3,3,1,16,33,3,1,18,1,4,12,3,1,16,3,3,1,15,2,8,1,9,1,15,1,14,1,3,1,14,1,15,1,18,1,9,5,18,1,15,1,14,1,3,9,16,20,3,1,14,1,3,2,14,1,15,1,14,1,3,2,16,3,3,1,18,1,4,27,18,8,3,2,16,15,3,2,16,17,3,2,18,1,4,293,19,7,4,8,19,2,4,3,18,2,4,3,3,1,16,2,3,1,18,1,4,2,19,3,4,28,19,6,4,4,18,2,4,1,18,2,8,1,10,2,3,1,16,209,3,1,18,1,3,1,18,1,4,2,3,2,18,1,4,575,},
{4,54,18,2,4,4,19,6,4,344,10,23,8,6,10,12,8,4,10,5,8,1,10,13,8,5,10,21,8,13,10,15,8,4,10,8,8,4,10,13,8,6,10,6,8,10,10,186,8,2,10,31,8,2,10,121,8,3,18,1,15,2,18,1,8,3,15,6,8,32,10,9,18,8,4,1,18,1,10,2,4,6,18,2,4,197,18,1,3,1,14,1,15,3,14,25,17,1,14,7,3,4,18,1,4,1,19,4,4,15,18,2,3,2,14,6,15,6,8,2,15,2,14,15,15,11,14,5,16,1,17,1,14,1,15,2,8,2,15,1,14,3,15,4,7,3,14,1,17,1,16,3,17,3,16,3,17,1,14,1,7,1,14,6,15,3,14,3,17,1,14,5,3,1,18,1,4,5,18,1,3,1,16,2,3,6,18,4,14,4,17,1,16,5,3,3,4,4,3,2,4,2,19,4,3,1,16,8,17,4,16,3,17,5,14,5,17,1,16,2,14,1,8,1,15,1,14,1,16,1,3,2,4,33,18,1,3,1,16,10,3,1,18,1,4,13,3,10,14,2,17,1,14,1,7,2,17,1,16,4,17,1,16,1,14,1,15,1,8,1,15,1,14,1,3,3,14,1,18,2,3,1,18,1,4,8,3,1,16,4,3,1,4,11,3,2,16,4,3,2,18,2,3,1,16,4,3,3,16,9,14,1,15,1,14,4,17,1,16,16,3,1,18,1,4,2,19,1,4,22,19,4,3,1,16,33,3,1,4,13,3,1,16,3,3,1,14,3,15,1,14,1,16,2,3,1,14,1,15,1,18,1,9,5,15,1,3,10,16,2,3,1,16,18,3,1,16,2,14,1,15,1,14,1,3,1,16,4,3,2,4,27,18,1,3,2,18,6,3,2,16,14,3,2,16,17,3,3,4,296,19,3,4,9,19,3,4,2,18,1,4,4,18,1,3,3,4,1,19,5,4,29,19,6,4,6,18,3,10,2,18,1,16,209,3,3,4,3,19,1,3,1,19,1,4,575,},
{4,50,19,3,4,3,19,10,4,344,10,21,8,7,10,11,8,4,10,5,8,5,10,7,8,8,10,21,8,13,10,13,8,6,10,26,8,6,10,7,8,5,18,2,8,2,10,29,8,2,10,197,8,3,10,100,8,1,10,10,8,11,15,7,8,30,10,9,8,1,18,5,8,1,10,6,18,17,4,186,18,1,3,2,14,1,15,4,14,19,17,2,14,3,17,1,14,6,3,5,4,1,19,5,4,15,18,1,3,2,14,1,15,1,14,4,15,2,8,5,15,2,14,21,15,6,14,5,17,1,16,1,17,1,14,1,15,9,8,2,15,1,14,1,7,1,14,2,17,1,16,2,17,1,14,1,17,2,14,2,16,1,17,1,14,1,15,1,14,5,15,3,14,3,17,2,14,2,8,2,15,1,3,2,4,4,18,1,3,1,16,2,3,2,18,1,3,9,14,4,16,4,3,2,18,3,3,3,16,1,3,1,4,2,19,4,3,1,16,8,17,3,16,4,6,2,17,5,14,4,3,1,16,1,14,1,15,2,3,3,4,33,18,1,3,1,16,7,3,1,16,4,3,1,18,1,4,12,18,1,3,1,16,2,3,5,14,2,3,1,16,2,14,3,17,1,16,2,17,1,14,3,8,1,15,1,14,1,16,3,3,1,18,2,4,7,18,2,4,2,3,1,16,4,3,1,4,2,19,1,4,8,3,2,16,5,3,4,16,3,3,3,16,10,15,1,8,1,15,1,14,4,17,1,16,15,3,1,4,26,19,4,3,1,16,32,3,1,18,1,4,13,3,1,16,4,3,5,16,2,3,1,14,2,15,5,9,2,15,1,3,1,14,1,3,6,16,5,3,2,16,18,3,1,14,1,3,7,18,2,4,27,3,2,18,2,14,1,18,4,3,1,16,14,3,2,16,17,3,3,18,1,4,307,19,4,4,3,19,13,4,30,19,7,4,4,18,4,8,1,10,1,3,1,16,209,3,2,4,581,},
{4,50,19,15,4,345,10,19,8,9,10,10,8,5,10,4,8,2,18,2,8,2,10,2,8,12,10,22,8,5,10,6,8,1,10,13,8,7,10,14,8,1,10,4,8,4,10,7,8,2,10,8,8,2,18,1,14,2,18,2,8,2,10,26,8,3,10,196,8,5,10,111,8,14,15,5,8,28,10,6,8,6,18,3,8,4,10,3,8,3,18,15,4,186,18,1,3,1,14,2,15,4,14,10,3,1,16,1,17,1,14,1,16,1,14,3,17,1,16,1,17,3,14,1,17,1,14,6,3,4,18,1,4,1,19,4,4,15,18,1,3,2,14,1,15,1,8,1,15,1,14,3,15,2,8,4,15,2,14,5,15,3,14,5,15,3,14,6,15,5,14,4,16,4,14,2,15,1,8,2,15,2,8,2,15,1,14,1,15,2,14,2,15,1,14,2,17,1,16,2,14,2,17,2,14,2,17,2,14,7,15,2,14,2,16,1,17,1,14,2,15,1,8,1,9,1,8,1,14,1,3,2,4,4,3,1,16,3,3,1,18,1,9,1,18,1,3,8,14,3,17,3,14,2,3,2,18,2,3,4,16,1,3,1,4,2,19,4,3,1,16,7,17,3,16,5,6,2,17,1,16,1,17,4,14,3,3,1,16,1,14,3,16,1,3,2,4,32,18,1,3,1,16,3,3,2,16,1,3,4,16,4,3,1,4,12,18,1,3,1,16,3,3,3,14,4,16,2,14,3,17,1,16,1,17,1,6,1,7,1,14,1,7,1,8,1,15,1,3,1,16,2,3,2,18,1,4,7,18,1,3,2,4,2,18,1,3,1,16,2,3,1,4,2,19,3,4,7,18,1,3,1,16,5,3,4,16,3,3,3,16,9,14,1,15,1,8,1,15,1,14,3,15,1,14,1,16,15,3,1,4,26,19,3,4,1,3,1,16,32,3,1,4,14,3,1,16,11,3,1,14,4,3,1,16,1,3,1,18,1,9,1,15,1,14,5,3,3,16,4,3,1,14,2,16,18,3,1,14,1,3,1,16,2,3,3,18,3,4,6,19,2,4,15,19,3,4,2,18,3,3,2,18,4,3,3,16,11,3,2,16,17,3,3,18,3,4,306,19,3,4,2,19,14,4,30,19,8,4,4,18,2,3,1,18,1,10,2,3,1,16,208,3,2,18,1,4,580,},
{4,50,19,12,4,348,10,18,8,9,10,10,8,5,10,5,8,2,15,1,18,1,8,15,10,24,8,3,10,20,8,9,10,17,8,5,10,18,8,2,14,2,18,1,8,2,10,19,8,2,10,5,8,3,10,197,8,4,10,88,8,1,10,1,8,2,10,20,8,5,10,2,8,7,15,5,8,27,10,7,8,20,18,2,8,2,18,2,8,6,9,2,10,2,18,6,4,178,18,1,3,1,14,3,15,3,14,9,3,1,16,2,3,2,17,1,14,3,17,1,16,2,17,1,14,9,3,4,18,1,4,19,18,1,3,2,14,2,8,3,7,2,14,3,15,4,14,6,15,1,8,3,15,1,14,3,15,5,14,6,15,4,14,3,17,1,16,3,14,3,15,1,8,2,15,2,8,2,14,2,15,1,7,1,14,2,7,2,17,1,16,1,17,4,16,1,17,1,14,3,16,2,17,1,14,2,7,3,14,2,17,1,16,2,17,1,14,1,8,1,10,2,9,1,18,1,3,3,18,1,4,2,3,2,16,3,3,1,8,3,14,2,3,6,14,2,17,5,14,1,17,1,3,9,4,2,19,4,3,1,16,7,17,2,16,6,6,1,14,1,17,1,16,1,17,2,16,1,17,1,14,3,17,2,14,3,16,1,3,2,4,31,18,1,3,1,16,8,14,2,3,1,16,4,3,1,4,13,3,2,16,2,3,3,14,4,17,2,14,1,7,1,6,4,7,5,14,1,17,1,3,2,14,1,15,1,18,2,4,5,10,1,18,1,3,2,4,3,18,1,3,2,18,1,4,1,19,4,4,8,3,2,16,4,3,2,18,1,3,2,16,3,3,3,16,8,3,1,15,2,14,4,15,1,14,1,16,10,3,2,16,2,3,1,18,1,4,26,19,3,4,1,3,1,16,32,3,1,4,14,3,1,16,11,3,1,14,3,3,1,16,3,14,1,15,1,14,1,3,1,14,5,3,2,16,4,3,1,14,2,16,2,3,3,16,1,3,1,16,11,3,2,16,4,3,1,18,3,4,6,3,4,4,14,19,4,4,2,18,1,3,1,16,2,3,4,4,2,18,1,3,2,16,29,3,1,18,1,4,2,18,5,3,1,18,1,4,300,19,19,4,30,19,10,4,2,18,2,14,1,18,2,10,1,3,1,16,206,3,3,18,3,19,1,4,578,},
{4,50,19,11,4,349,10,17,8,8,10,11,8,6,10,4,8,17,10,46,8,12,10,18,8,5,10,18,8,2,15,2,8,2,10,13,8,1,10,13,8,3,10,161,8,1,10,125,8,9,10,17,8,5,10,2,8,7,15,5,8,28,10,7,8,5,7,3,8,7,18,3,8,7,18,3,8,3,9,2,10,3,9,3,18,2,4,177,18,1,3,2,14,8,15,2,14,5,3,1,16,2,3,1,14,6,16,2,17,1,14,9,3,3,18,1,4,19,18,1,3,1,14,3,7,1,8,3,7,6,14,5,15,2,14,1,15,2,8,4,15,1,14,2,15,4,14,7,15,3,14,4,17,1,16,2,17,1,14,1,15,3,8,2,14,2,8,2,14,6,7,2,17,1,16,1,17,4,16,1,17,1,14,1,7,1,14,1,17,1,16,2,14,2,7,2,17,1,16,1,17,1,16,2,17,1,14,1,8,1,9,1,10,2,18,2,3,3,18,2,3,2,16,2,3,2,14,1,15,1,8,1,7,2,14,1,3,6,14,2,17,7,3,5,18,2,3,1,18,1,4,2,19,2,4,2,3,1,16,7,3,1,17,1,16,6,17,3,16,1,17,2,16,1,17,1,14,2,16,2,14,3,17,1,16,1,3,2,4,31,3,1,16,4,3,1,16,3,17,1,14,2,3,1,16,1,3,2,16,1,3,1,18,1,4,12,3,8,14,4,17,1,6,3,17,3,6,1,7,4,14,4,15,1,18,8,9,1,18,1,3,2,4,4,18,2,4,2,19,4,4,8,18,1,3,1,16,3,3,2,18,1,4,2,3,2,16,2,3,3,16,9,14,1,15,1,14,3,15,2,14,1,17,1,16,9,3,1,16,2,3,1,18,1,4,27,19,2,4,2,3,2,16,31,3,1,4,14,3,1,16,11,3,1,14,3,16,4,3,1,14,1,16,2,14,2,15,1,14,4,3,2,14,5,16,2,3,3,14,2,3,1,16,2,3,2,16,6,3,2,16,4,18,1,10,1,18,2,4,6,3,1,16,1,3,2,18,1,4,13,19,5,4,2,3,7,4,2,3,3,16,23,3,3,16,2,3,2,18,3,3,9,19,1,4,300,19,12,4,2,19,1,4,32,19,5,4,1,19,3,4,2,10,1,18,2,8,1,10,2,3,1,16,207,3,2,18,2,3,3,19,2,4,575,},
{4,50,19,6,4,6,18,1,4,347,10,16,8,7,10,6,8,3,10,4,8,5,10,2,8,15,10,10,8,3,10,2,8,3,10,23,8,15,10,47,8,6,10,13,8,5,10,6,8,2,10,11,8,4,10,151,8,1,10,123,8,4,18,2,8,5,10,17,8,12,15,8,8,31,10,4,8,4,7,3,8,6,18,7,8,4,18,4,8,2,9,2,10,16,4,100,19,5,4,64,18,1,3,2,14,8,15,3,14,5,17,1,16,1,14,3,18,2,15,1,14,1,17,1,16,1,17,1,14,3,17,2,14,5,3,2,4,20,18,1,3,1,14,1,15,1,14,1,7,2,8,1,7,7,14,3,15,1,8,3,15,3,8,1,10,2,8,2,15,1,14,1,15,4,14,7,15,1,14,7,16,2,14,1,15,1,8,1,15,4,14,2,15,2,8,1,15,1,14,4,7,1,14,1,17,1,16,1,17,3,6,1,14,11,17,1,16,3,17,1,14,1,15,1,8,3,18,4,3,12,14,1,7,2,17,1,3,6,14,3,17,6,14,2,3,4,4,9,3,2,16,3,3,1,16,3,3,1,17,1,16,6,17,6,16,1,17,1,14,2,16,2,14,4,16,1,3,2,4,31,18,1,3,1,16,2,3,2,16,3,17,1,14,2,16,1,3,5,4,13,3,9,14,2,17,6,16,3,17,1,7,4,14,2,3,1,14,1,15,1,18,9,3,1,18,1,10,5,18,1,4,2,19,4,4,8,18,1,3,2,16,1,3,2,4,5,3,1,16,2,3,3,16,9,14,1,15,1,14,2,15,1,7,2,14,1,17,1,16,12,3,1,4,31,18,1,3,2,16,31,3,1,4,14,3,1,16,4,14,2,16,5,3,1,14,1,15,1,14,1,3,1,16,3,3,2,16,2,3,1,14,2,15,3,14,8,16,3,3,2,14,2,3,5,16,6,3,2,16,3,3,1,9,1,10,1,18,1,3,2,18,1,4,4,3,5,18,1,4,2,3,2,4,8,19,2,4,2,19,1,4,1,10,1,18,3,4,6,3,1,16,15,3,2,16,6,3,8,18,1,4,1,18,1,3,1,16,8,3,2,19,1,4,334,19,2,4,13,19,6,4,2,10,1,8,2,10,3,18,1,3,1,16,206,3,11,19,1,4,572,},
{4,50,19,6,4,2,18,5,4,347,10,16,8,7,10,5,8,4,10,4,8,3,10,4,8,13,10,12,8,12,10,17,8,16,10,16,8,5,10,25,8,7,10,15,8,4,10,18,8,6,10,96,8,4,10,157,8,3,10,16,8,2,18,2,8,4,10,19,8,11,15,8,8,32,10,3,8,3,15,4,8,6,18,2,15,1,18,2,8,3,18,8,8,1,9,1,10,28,4,89,19,6,4,63,3,3,14,13,3,5,18,3,4,1,18,2,3,2,16,1,3,2,14,1,3,7,18,1,3,1,18,1,4,19,18,1,3,2,14,3,7,8,15,1,14,3,15,2,8,3,15,2,8,2,10,2,8,2,15,1,14,11,15,1,14,8,17,1,14,2,15,1,8,2,15,9,14,2,7,1,14,1,7,1,14,2,17,4,14,1,7,4,15,2,14,4,17,1,16,3,17,1,14,1,15,1,8,3,15,1,14,2,3,3,18,2,3,10,14,2,17,1,3,5,14,5,17,1,14,2,17,1,14,3,3,3,4,9,18,1,3,1,16,12,17,9,16,2,17,1,14,1,17,1,16,2,14,1,15,1,14,3,3,1,18,1,4,32,3,2,16,1,3,2,16,7,3,2,14,1,18,3,4,3,19,1,18,1,4,6,3,6,14,2,3,1,14,4,17,3,16,5,17,1,7,2,15,1,14,6,15,1,8,2,18,7,9,1,10,3,18,2,3,2,4,1,19,4,4,8,18,1,3,4,18,1,4,5,18,1,3,1,16,3,3,1,16,9,14,1,18,1,14,1,18,4,14,1,3,2,16,9,3,2,18,1,4,30,3,4,16,31,3,1,4,14,18,1,16,3,3,1,14,3,3,3,16,2,3,1,14,1,15,1,14,1,3,3,14,1,3,1,16,2,3,1,14,2,18,1,8,2,15,6,14,2,3,1,16,2,3,4,16,1,3,12,16,3,3,1,10,2,3,1,16,2,3,1,4,4,18,1,3,5,18,2,3,2,18,1,4,9,18,1,3,1,4,2,18,1,8,1,18,1,4,6,3,2,16,15,3,2,16,6,3,8,4,2,3,2,16,9,3,2,4,333,19,7,4,9,19,5,4,3,18,1,8,1,10,4,18,1,3,1,16,207,3,2,16,5,3,4,19,1,4,571,},
{4,50,19,2,4,3,18,8,4,347,10,17,8,6,10,4,8,7,10,1,8,4,10,12,8,7,10,17,8,11,10,11,8,5,10,3,8,4,10,19,8,3,10,27,8,8,10,16,8,2,10,17,8,5,10,19,8,4,10,76,8,5,10,145,8,1,10,7,8,7,10,10,8,3,10,3,8,4,10,27,8,6,18,1,8,1,18,2,15,5,8,3,15,2,14,2,15,2,8,13,18,2,8,11,18,1,15,3,18,1,8,2,18,1,15,2,18,1,8,3,18,2,8,4,18,3,8,1,9,1,8,1,18,3,10,30,4,88,19,6,4,63,3,3,18,2,14,2,15,2,14,2,3,9,4,6,18,1,3,13,18,1,4,21,18,1,3,1,14,1,3,1,14,4,7,3,17,1,14,1,8,2,14,3,15,2,8,2,18,1,15,2,8,5,15,2,14,7,15,5,14,7,17,2,14,1,15,5,14,1,15,1,8,2,15,1,14,4,7,1,8,2,7,1,14,3,17,3,14,1,15,1,8,5,15,1,14,2,17,1,16,3,3,1,14,1,15,1,14,2,15,4,14,1,3,3,14,2,8,1,15,1,14,1,3,3,14,1,3,1,16,2,14,20,3,2,18,1,4,9,3,1,16,12,17,1,14,4,17,4,16,3,3,3,16,1,3,1,14,2,3,3,18,1,4,33,18,1,3,3,16,8,17,1,14,4,3,10,18,1,3,4,14,3,15,2,14,1,3,1,14,5,17,1,16,5,14,1,7,1,15,1,14,1,17,1,16,1,14,5,8,2,15,2,18,2,15,2,18,1,9,1,10,1,9,1,18,1,3,4,4,2,19,2,4,10,3,5,4,6,3,1,16,3,3,2,16,7,3,1,18,4,4,4,18,1,3,1,16,9,3,1,18,1,4,31,3,1,16,35,3,1,18,1,4,13,3,1,16,2,3,1,14,3,15,1,14,2,3,1,16,2,14,1,15,2,14,1,3,7,14,1,15,1,18,3,15,3,18,2,15,1,14,2,3,1,16,3,3,1,16,4,3,1,16,2,3,1,18,1,3,2,18,2,3,1,16,4,3,1,18,2,16,3,3,1,4,5,3,13,18,1,4,5,3,4,18,2,3,1,18,1,4,3,18,3,3,8,16,8,3,2,16,5,3,3,16,5,3,1,4,2,3,1,16,11,3,1,18,1,4,332,19,8,4,8,19,4,4,4,18,1,8,1,10,2,8,1,10,1,18,1,3,1,16,215,3,2,19,1,3,1,19,1,4,570,},
{4,50,19,2,4,2,18,7,8,1,10,1,4,347,10,17,8,4,10,3,8,13,10,16,8,6,10,18,8,9,10,11,8,5,10,4,8,2,10,20,8,1,10,28,8,8,10,36,8,4,10,19,8,5,10,77,8,4,10,112,8,2,10,31,8,3,10,1,8,11,10,8,8,5,10,3,8,3,10,29,8,3,18,2,8,4,18,1,15,3,18,1,8,3,15,1,14,4,15,1,8,12,18,4,8,10,18,1,15,2,18,2,8,1,18,1,15,3,18,1,8,3,18,2,8,2,10,1,8,1,18,3,10,3,9,1,18,1,10,31,4,10,18,1,4,12,18,5,4,50,18,1,4,10,19,5,4,63,18,1,3,2,18,2,3,2,18,2,14,1,3,8,18,1,4,8,3,12,4,22,18,4,3,2,14,4,7,2,17,2,7,2,14,3,15,2,8,2,15,3,8,4,7,5,14,4,7,1,8,3,15,1,8,1,14,2,17,1,14,4,17,1,14,2,15,1,14,2,7,2,14,1,7,1,8,2,7,1,14,1,17,2,14,1,15,1,8,1,15,1,14,8,8,6,15,1,14,2,16,1,3,3,14,1,8,2,14,3,15,1,18,1,15,1,14,6,8,2,14,3,17,1,14,1,16,3,14,4,6,3,14,13,3,1,18,1,4,10,3,1,16,7,17,1,16,4,14,2,7,1,14,2,17,1,16,5,3,10,18,1,4,35,18,1,3,1,16,9,17,2,6,1,14,2,17,1,16,7,3,7,14,2,15,3,14,6,3,1,16,5,17,1,14,1,15,1,14,1,16,3,3,1,14,1,15,1,14,2,15,4,8,2,15,2,8,1,15,1,14,2,15,1,3,1,16,3,18,1,19,4,4,9,3,3,16,1,3,1,18,1,4,5,18,1,3,1,16,2,3,2,16,6,3,1,18,1,4,9,19,1,3,3,16,6,3,1,4,32,3,1,16,36,3,1,4,13,19,1,3,1,16,2,3,2,14,1,15,2,14,1,16,3,3,1,15,2,14,1,3,3,14,5,18,4,14,2,18,3,15,2,14,1,3,1,16,2,3,2,16,7,3,1,18,1,14,1,18,1,9,1,18,1,3,1,16,4,3,1,18,1,3,1,16,3,3,1,4,5,3,2,16,2,3,2,15,1,18,2,3,1,16,3,3,1,18,1,4,3,18,1,16,3,3,3,16,1,3,2,18,1,3,4,4,2,18,1,3,10,16,9,3,3,16,5,3,2,4,2,3,1,16,11,3,1,18,1,4,332,19,7,4,17,18,1,10,3,8,1,10,1,18,1,16,216,3,1,4,2,19,2,4,570,},
{4,54,18,7,8,1,10,1,4,7,18,1,3,1,4,337,10,18,8,3,10,7,8,8,10,1,8,1,10,16,8,8,10,9,8,4,10,6,8,7,10,1,8,3,10,6,8,3,10,6,8,1,10,43,8,1,10,50,8,4,10,142,8,4,10,14,8,2,10,24,8,1,10,3,8,2,10,25,8,3,10,35,8,11,10,5,8,5,10,4,8,4,10,30,8,8,18,1,15,4,8,2,15,3,14,2,15,2,8,13,18,2,8,11,18,1,15,2,18,1,8,2,18,2,15,2,18,1,8,1,18,1,15,2,18,1,8,4,18,3,10,4,18,1,10,24,8,2,18,1,8,1,10,7,18,2,10,3,9,1,10,3,18,3,10,15,9,1,8,1,10,15,9,2,10,1,9,1,10,1,9,2,10,2,4,18,9,5,10,2,18,4,4,3,19,5,4,63,18,1,3,3,14,1,3,2,18,2,3,8,18,1,4,5,19,2,4,2,18,1,3,1,18,2,4,30,18,8,14,1,6,1,7,1,14,1,17,2,14,1,7,1,14,2,15,9,8,3,7,6,14,2,7,1,8,4,15,2,14,2,17,1,14,6,15,2,14,5,7,1,15,1,7,1,14,2,17,2,14,11,15,1,8,5,15,1,14,2,17,1,14,5,18,1,8,1,14,2,15,2,8,1,15,1,14,6,15,2,14,2,17,1,16,1,17,2,16,2,14,6,6,1,14,13,18,1,4,11,3,1,16,12,17,1,14,4,17,1,16,4,3,1,14,2,3,5,14,1,3,3,4,35,18,1,3,1,16,10,17,2,14,3,3,2,16,4,3,8,14,3,15,1,14,6,17,1,16,5,17,1,14,4,16,4,14,5,15,1,8,3,18,1,15,3,14,1,16,1,3,1,15,2,3,1,16,2,3,1,19,4,4,9,3,2,16,3,3,1,18,1,4,6,3,3,18,1,3,6,18,1,4,3,19,3,4,7,3,2,16,4,3,2,4,32,3,1,16,36,3,1,4,2,19,3,4,1,19,2,4,6,3,2,16,2,3,2,14,2,3,1,16,3,3,1,14,2,3,5,14,3,15,1,18,1,8,1,18,2,14,2,18,2,14,2,15,1,14,2,3,3,14,1,3,1,16,2,3,2,16,3,3,1,18,2,14,1,3,1,16,4,3,1,18,2,3,1,16,3,3,1,4,5,18,1,3,2,16,2,14,1,10,3,3,1,16,4,3,1,4,2,18,1,3,1,16,2,3,1,18,2,3,1,16,2,3,3,16,2,3,1,19,2,4,1,3,4,18,3,3,3,16,9,3,3,16,4,3,2,18,1,4,1,3,2,16,11,3,1,18,1,4,330,19,9,4,12,18,4,10,5,8,1,10,1,18,1,16,216,3,1,4,574,},
{4,60,18,1,10,2,4,7,3,2,4,336,10,19,8,2,10,10,8,4,10,20,8,15,10,1,8,6,10,6,8,12,10,11,8,2,10,28,8,2,10,65,8,3,10,142,8,7,10,11,8,4,10,28,8,2,10,23,8,4,10,35,8,12,10,4,8,5,10,3,8,4,10,31,8,8,18,3,15,2,8,1,15,7,8,14,18,2,8,11,18,3,8,4,18,1,15,1,18,3,15,3,18,2,8,4,18,1,8,1,10,27,8,1,18,4,8,1,10,6,8,1,18,2,10,6,18,4,10,34,8,5,10,4,4,15,10,1,8,4,10,2,18,5,4,3,19,5,4,63,18,1,3,5,18,7,3,1,18,2,4,7,19,3,4,40,18,3,14,9,15,10,8,1,7,2,14,1,7,2,8,3,7,1,15,1,8,5,15,2,14,5,15,2,14,2,15,2,14,4,7,3,14,2,17,1,16,2,17,2,16,2,17,1,14,5,15,1,8,4,15,1,14,6,15,1,18,1,14,2,15,2,14,2,15,2,8,1,18,1,15,1,14,8,17,1,16,3,14,4,17,2,14,3,17,1,14,10,17,2,14,1,18,1,4,11,3,1,16,4,17,2,16,1,17,1,16,4,17,1,14,3,17,1,16,4,3,1,14,4,3,4,14,1,3,3,18,1,4,35,3,1,16,10,17,1,14,5,3,13,14,10,17,1,16,2,3,1,14,3,15,2,14,1,17,1,16,4,14,5,15,1,8,2,18,2,8,1,15,2,3,1,16,1,3,1,9,2,3,4,4,1,19,3,4,9,18,1,3,1,16,4,3,1,4,7,18,3,3,4,14,1,18,1,4,2,19,6,4,4,19,1,4,2,19,1,3,5,4,33,3,1,16,36,3,1,18,1,4,1,19,6,4,6,18,1,3,1,16,9,3,1,14,2,3,5,14,3,15,1,18,4,14,3,15,2,14,2,15,3,14,1,3,2,14,2,3,4,16,3,3,1,18,2,3,1,16,4,3,1,18,1,9,1,18,1,3,1,16,3,18,1,4,4,18,1,3,5,18,1,10,2,8,1,3,1,16,5,4,2,18,1,3,1,16,2,3,1,10,2,3,1,16,7,3,1,19,2,4,1,3,2,16,1,3,2,18,2,3,4,16,7,3,1,18,1,3,1,16,5,3,1,18,3,3,1,16,12,3,1,18,2,4,328,19,7,4,14,18,2,3,1,18,2,10,6,18,1,3,1,16,216,3,1,4,574,},
{4,50,19,3,4,7,18,2,4,7,3,3,4,336,10,56,8,5,10,1,8,8,10,1,8,22,10,11,8,5,10,27,8,2,10,179,8,4,10,32,8,3,10,11,8,2,10,29,8,1,10,25,8,2,10,35,8,9,10,1,8,4,10,2,8,6,10,3,8,3,10,32,8,14,15,5,8,29,18,3,8,4,18,1,15,1,18,3,15,1,14,2,18,1,8,5,18,1,8,1,10,27,18,5,9,1,10,7,9,1,8,1,10,6,18,4,10,36,8,2,10,5,4,15,9,1,8,3,10,3,8,1,18,5,4,2,19,5,4,64,3,5,18,1,4,16,19,8,4,38,18,1,3,2,14,3,3,2,14,1,15,3,14,4,15,3,8,1,15,1,14,3,15,1,8,7,15,6,14,3,15,6,14,4,7,3,14,3,16,8,14,2,15,3,8,2,15,2,8,1,15,1,14,6,15,2,14,6,15,2,18,1,15,3,14,4,3,2,14,1,16,4,14,3,17,1,16,1,17,1,14,15,17,1,14,1,3,1,18,1,4,7,19,2,4,1,3,1,16,4,17,4,16,4,17,2,14,1,17,2,16,4,14,6,3,7,18,1,4,35,18,1,3,1,16,8,17,1,14,1,7,2,15,2,14,4,3,6,18,2,3,3,14,10,3,1,14,4,15,1,8,2,14,1,16,5,3,1,14,2,15,5,8,2,15,3,14,1,3,1,14,1,10,2,18,1,3,3,4,2,19,2,4,9,18,1,3,1,16,4,3,1,4,8,18,2,3,2,14,2,15,1,8,1,4,3,19,5,4,5,19,3,4,37,18,1,3,1,16,37,3,2,4,2,19,4,4,7,3,1,16,8,3,1,14,2,18,1,14,2,3,3,14,2,15,3,18,1,15,1,14,4,15,2,14,3,15,3,14,2,3,5,14,1,3,2,14,1,18,1,9,1,18,1,3,1,16,3,3,1,18,1,10,1,9,1,3,1,16,3,18,1,4,5,3,3,18,4,14,1,3,4,16,4,3,1,18,1,4,1,18,1,3,1,16,1,3,1,9,1,10,1,18,1,16,7,3,1,18,1,4,1,3,2,16,6,3,4,16,7,3,1,18,1,3,1,16,5,3,1,18,3,3,1,16,12,3,3,4,328,19,5,4,15,18,6,8,1,10,3,18,2,3,1,16,6,3,4,16,2,3,1,16,204,3,1,19,1,4,573,},
{4,50,19,7,4,3,18,2,4,6,18,1,3,2,18,1,4,337,10,24,8,5,10,18,8,3,10,5,8,4,10,3,8,28,10,12,8,2,18,1,8,2,10,29,8,1,10,75,8,3,10,101,8,5,10,32,8,2,10,78,8,2,10,25,8,7,10,3,8,12,10,2,8,3,10,36,8,11,15,4,8,36,18,2,15,1,18,2,8,1,18,1,15,2,18,1,8,7,10,24,8,1,18,7,8,1,10,10,18,3,10,5,18,2,10,20,18,1,10,20,4,16,9,1,8,2,10,4,8,2,18,4,4,2,19,5,4,64,18,1,3,2,18,2,4,17,19,8,4,38,18,6,14,1,3,1,14,7,18,3,15,4,14,2,15,1,8,3,15,18,14,1,15,1,14,1,15,3,8,1,7,1,14,1,17,1,16,9,14,1,15,1,8,5,15,2,8,1,15,1,14,6,15,2,14,6,15,1,8,4,15,1,14,3,16,8,14,1,15,1,14,1,17,1,16,1,17,1,14,17,3,1,18,1,4,6,19,4,3,1,16,3,14,4,17,10,16,3,17,1,14,9,3,4,18,1,4,36,3,1,16,8,17,1,7,1,8,1,7,3,15,1,14,1,15,1,8,1,18,1,3,3,18,5,3,2,14,3,3,3,17,2,14,6,15,1,8,3,14,1,17,1,16,4,3,1,14,2,15,3,14,1,15,1,8,3,15,2,14,2,15,1,10,2,18,1,3,3,18,1,4,2,19,1,4,10,3,2,16,3,3,1,4,8,18,1,3,1,14,4,15,1,8,1,4,5,19,3,4,3,19,6,4,35,18,1,3,1,16,40,3,1,4,1,19,4,4,8,16,8,3,1,18,4,14,1,3,2,14,1,15,1,18,3,15,2,14,2,3,2,14,7,8,2,14,1,3,1,16,5,3,1,14,1,18,4,14,1,3,4,18,1,9,2,18,1,3,1,16,2,3,1,4,6,3,3,18,4,3,1,16,1,3,1,14,1,18,1,3,1,16,4,3,1,4,2,3,3,18,1,10,2,3,1,16,6,3,4,16,18,3,3,16,5,3,1,18,2,3,1,16,11,3,5,4,6,19,2,4,320,19,5,4,14,10,1,18,6,8,1,10,2,8,1,18,1,3,1,16,5,3,2,18,3,3,5,16,203,3,2,4,573,},
{4,50,19,8,4,3,18,1,4,6,18,1,3,1,19,1,4,339,10,22,8,9,10,14,8,4,10,5,8,4,10,4,8,6,10,3,8,18,10,12,8,2,18,1,8,2,10,104,8,5,10,11,8,3,10,86,8,4,10,72,8,2,10,38,8,4,10,23,8,7,10,4,8,16,10,38,8,10,15,4,8,30,10,2,8,4,18,1,15,2,18,1,8,3,15,2,8,3,10,1,8,4,10,23,8,1,18,11,8,3,18,1,10,4,18,3,10,5,18,2,10,20,18,1,10,21,4,14,10,7,8,3,18,4,4,2,19,5,4,86,19,8,4,39,18,1,9,1,10,2,9,1,18,1,14,5,15,1,18,5,14,2,15,3,8,4,15,1,14,2,15,3,8,1,15,10,14,3,15,2,8,3,7,2,14,1,16,10,14,1,15,1,8,4,15,1,14,1,15,1,8,2,15,1,14,3,15,4,14,5,15,1,8,5,15,2,14,2,16,8,14,1,15,1,14,2,16,1,17,1,14,17,3,1,18,1,4,3,19,7,3,1,16,2,3,1,14,4,17,10,16,3,14,3,3,2,14,5,3,4,4,38,3,1,16,7,14,1,8,2,7,1,14,4,18,1,8,1,18,1,3,3,18,4,3,3,14,3,3,1,16,4,14,6,15,1,8,3,14,2,3,2,14,2,3,2,14,2,15,2,14,1,15,1,8,2,15,4,8,1,9,1,8,1,18,2,3,4,18,1,4,12,18,1,3,2,16,3,3,1,4,6,18,1,3,2,18,1,14,1,3,2,14,1,18,1,4,11,19,7,4,34,3,1,16,41,3,2,4,2,19,8,4,2,3,1,16,7,14,1,9,1,18,3,14,1,3,2,15,1,18,4,15,1,14,3,3,3,14,3,3,2,14,1,15,2,14,1,16,7,3,1,14,1,18,2,14,1,3,4,18,4,3,3,16,1,3,1,4,2,19,4,4,1,3,1,18,2,3,6,18,2,3,1,16,4,3,1,4,3,3,3,9,1,10,1,3,1,16,7,3,3,16,18,3,3,16,5,3,1,4,2,3,1,16,10,3,1,18,2,3,2,18,1,4,5,3,4,4,10,19,1,18,1,4,4,3,4,18,1,4,298,19,4,4,3,19,2,4,7,18,8,8,2,10,4,18,2,16,4,3,1,18,1,9,2,18,3,3,1,18,2,3,1,16,203,3,2,18,1,4,572,},
{4,50,19,8,4,352,10,21,8,13,10,9,8,7,10,4,8,4,10,4,8,6,10,3,8,18,10,12,8,4,10,107,8,4,10,11,8,2,10,34,8,1,10,8,8,2,10,118,8,1,10,37,8,4,10,9,8,5,10,10,8,7,10,3,8,2,10,1,8,5,10,4,8,4,10,6,8,3,10,30,8,11,15,2,8,30,10,5,8,2,18,1,15,2,18,1,8,8,10,2,8,3,10,20,8,3,18,2,14,1,18,4,14,2,3,3,18,4,10,4,18,2,10,6,18,2,10,14,9,2,10,21,18,1,10,2,4,1,10,3,4,2,10,17,8,2,18,5,4,2,19,5,4,86,19,7,4,41,10,4,9,1,18,1,14,3,15,2,18,1,15,1,18,2,15,1,14,3,15,2,8,4,15,1,14,3,15,1,8,3,15,2,14,1,15,10,8,4,7,1,14,1,17,1,16,10,14,1,15,1,8,3,15,4,8,3,15,8,14,3,15,1,8,7,15,1,14,2,16,8,14,1,15,1,14,2,17,1,14,19,18,1,4,2,19,8,3,1,16,2,3,1,14,3,17,5,14,1,17,5,16,2,17,1,14,3,16,2,14,5,3,3,18,1,4,35,19,2,4,2,18,1,3,2,16,4,14,1,8,2,14,4,15,1,8,3,3,2,14,2,18,3,3,3,14,3,3,1,16,4,14,7,15,3,14,7,3,2,14,1,15,2,14,2,8,3,15,3,8,2,15,1,14,1,18,1,3,1,16,3,3,1,4,13,18,1,3,2,16,2,3,1,18,1,4,2,18,4,3,2,18,1,14,1,3,4,18,1,4,10,19,6,4,35,3,1,16,42,3,1,18,1,4,1,19,8,4,2,3,3,16,3,3,2,18,1,10,1,18,3,14,3,18,4,15,1,14,4,3,3,14,2,3,3,14,1,15,2,14,1,16,8,3,1,15,1,18,1,14,1,3,4,18,3,3,6,4,1,19,4,4,2,18,3,3,3,14,2,18,3,3,6,4,3,18,1,3,3,18,2,3,1,16,7,3,2,16,17,3,3,16,6,3,1,4,2,3,1,16,10,3,1,4,2,3,2,4,6,3,1,16,2,3,1,4,10,3,3,19,1,4,2,3,6,4,5,18,2,4,290,19,4,4,1,19,4,4,7,18,7,8,4,10,3,8,1,18,1,3,1,16,2,3,1,18,1,10,3,9,1,18,3,10,2,18,1,3,1,16,202,3,3,19,1,4,571,},
{4,50,19,9,4,351,10,21,8,14,10,3,8,13,10,2,8,5,10,4,8,5,10,3,8,19,10,23,8,3,10,99,8,3,10,45,8,2,10,8,8,2,10,169,8,1,10,15,8,3,10,5,8,3,10,2,8,2,10,8,8,1,10,6,8,4,10,30,8,10,15,3,8,30,10,5,8,2,15,2,18,2,8,8,10,1,8,4,10,19,8,3,18,8,14,1,3,4,14,1,18,2,9,1,10,11,9,1,18,2,10,12,9,1,18,3,9,1,10,19,18,4,10,8,8,11,10,4,8,1,18,6,4,2,19,5,4,127,19,5,4,2,10,5,8,1,14,3,15,3,14,2,8,1,15,1,14,6,15,1,8,2,15,6,8,3,14,4,15,2,8,3,15,3,8,3,7,1,14,1,16,8,17,1,14,5,15,6,8,2,9,2,8,1,15,11,8,5,15,3,14,2,16,4,14,1,16,2,17,1,14,7,17,2,14,15,18,1,4,2,19,8,3,1,16,3,17,4,16,2,17,5,16,1,17,2,16,3,17,1,14,1,17,1,16,2,3,1,14,4,3,3,18,1,4,36,19,3,4,2,18,1,3,1,16,3,14,2,7,1,14,4,15,1,8,3,14,1,3,1,14,5,3,3,14,3,3,1,16,5,14,4,17,2,14,6,15,3,14,2,16,1,14,5,8,3,15,4,14,2,15,1,9,1,3,1,16,3,3,1,4,14,3,2,16,2,3,2,18,2,3,2,18,4,15,1,14,1,3,1,16,2,3,2,18,1,4,2,19,3,4,5,19,4,4,36,3,1,16,42,3,2,4,1,19,8,4,4,18,1,3,1,16,1,3,1,18,1,4,3,18,1,3,1,18,1,3,2,18,4,14,4,15,1,14,2,3,2,14,3,3,2,14,4,3,1,16,8,14,1,18,1,15,1,3,4,14,1,18,2,14,1,3,4,18,1,4,1,19,3,4,1,18,4,9,1,18,4,14,1,3,8,18,1,4,4,3,4,18,1,3,1,16,7,3,2,16,17,3,2,16,6,3,1,18,1,4,2,3,1,16,9,3,2,4,6,3,2,4,2,3,1,16,2,3,1,4,10,3,1,16,1,3,2,18,1,4,1,18,1,3,1,16,3,3,3,4,3,18,2,3,3,4,287,19,9,4,8,18,6,8,2,18,3,10,3,8,1,18,1,3,3,18,1,9,1,10,1,18,4,10,4,18,1,3,3,16,199,3,3,19,3,4,569,},
{4,52,19,8,4,4,18,1,4,345,10,20,8,31,10,2,8,6,10,1,8,7,10,3,8,25,10,16,8,4,10,235,8,1,10,12,8,5,10,99,8,3,10,17,8,6,10,30,8,10,15,3,8,30,10,5,8,2,18,3,8,12,10,18,8,2,10,1,8,5,9,5,18,2,14,1,3,3,14,1,18,1,9,1,10,27,9,4,10,16,9,3,10,1,18,3,10,6,8,13,10,5,8,1,18,1,15,1,14,1,18,3,4,3,19,4,4,126,19,5,4,3,18,1,9,1,18,1,8,3,14,3,15,1,8,1,7,1,14,2,7,1,8,1,15,1,14,2,3,3,14,1,18,1,8,5,15,3,8,2,15,1,14,2,15,2,8,5,15,3,8,2,14,1,16,9,14,7,15,2,14,1,15,1,8,3,9,2,8,1,15,5,14,1,15,5,8,3,15,5,14,2,16,3,3,1,14,11,17,2,14,14,15,1,18,2,4,1,19,8,3,1,16,4,17,3,16,3,17,3,16,2,17,2,16,3,17,1,14,2,16,2,3,1,14,5,3,2,18,1,4,35,19,5,4,2,18,1,3,1,16,2,17,1,14,5,7,1,8,3,7,1,14,4,7,1,14,1,17,2,14,5,3,1,16,3,17,1,16,2,14,2,17,1,16,3,17,1,14,5,15,3,14,2,17,1,14,4,15,5,14,4,15,1,9,1,3,1,16,3,3,1,4,14,3,8,16,2,3,1,18,1,8,2,15,1,14,2,17,1,3,4,18,1,4,1,19,4,4,5,19,2,4,37,3,1,16,43,3,1,18,1,4,1,19,7,4,6,3,1,18,1,4,4,18,1,3,2,18,5,3,4,14,10,3,6,14,1,3,1,16,6,14,1,18,1,15,1,14,1,3,4,14,2,3,5,18,1,4,2,19,3,3,1,18,2,3,1,18,2,9,1,18,3,14,1,3,2,14,1,18,3,3,1,18,1,4,3,18,1,3,4,18,2,3,1,16,1,3,2,16,3,3,1,16,18,3,2,16,6,3,2,4,2,3,1,16,8,3,2,4,7,3,1,16,1,18,2,16,2,3,1,18,1,4,5,19,1,4,4,3,2,16,1,3,2,18,2,3,1,16,5,3,1,18,1,4,1,3,4,16,2,3,1,4,286,19,9,4,8,18,11,10,4,18,4,9,1,18,6,10,6,18,1,3,2,16,199,3,2,19,2,3,1,19,1,4,568,},
{4,56,19,5,4,3,18,2,4,344,10,20,8,31,10,2,8,14,10,3,8,24,10,15,8,3,18,1,8,2,10,92,8,5,10,138,8,1,10,12,8,5,10,99,8,4,10,13,8,7,10,26,8,1,10,3,8,11,15,4,8,31,10,4,8,17,10,31,9,1,8,1,18,5,9,1,10,60,8,14,10,6,8,1,18,6,4,2,19,4,4,126,19,4,4,2,18,4,14,2,18,1,8,1,14,2,15,2,7,1,14,4,15,1,18,1,15,1,14,1,3,4,15,1,8,5,15,1,14,1,15,1,8,1,10,1,8,1,15,2,8,3,10,1,8,3,15,5,14,1,16,8,17,1,14,1,15,2,14,4,15,4,8,6,15,1,14,1,15,2,14,3,15,12,14,2,16,3,14,11,17,3,14,13,7,1,8,1,18,1,3,2,4,1,19,7,3,1,16,5,17,1,16,4,17,3,16,2,17,2,16,3,14,7,3,2,14,4,18,1,4,35,19,6,4,2,3,1,16,4,17,2,14,2,7,1,8,3,15,1,14,14,16,2,14,2,16,2,17,1,14,1,17,1,16,4,17,1,14,6,15,2,14,7,15,4,14,3,8,1,9,1,18,1,16,4,3,1,4,14,18,1,3,4,16,6,3,1,18,1,8,1,14,4,3,5,4,1,19,4,4,44,3,1,16,44,3,1,4,1,19,12,4,7,18,6,14,1,3,6,14,5,15,1,18,1,8,1,14,1,3,5,14,3,3,2,16,4,14,1,15,1,14,1,3,7,16,2,3,1,14,1,18,3,4,1,19,2,4,2,18,1,3,4,18,9,3,3,18,1,10,2,18,2,3,4,10,2,3,5,16,1,3,2,16,18,3,2,16,7,3,1,4,2,16,9,3,1,4,7,3,1,16,2,3,2,16,1,3,1,19,1,4,7,19,1,4,4,3,7,16,6,3,6,16,2,3,1,18,1,4,285,19,9,4,4,18,5,9,2,8,1,18,7,8,1,10,2,8,1,18,3,9,2,18,6,10,6,9,1,3,2,16,200,3,1,19,1,4,1,19,2,4,568,},
{4,56,19,5,4,349,10,2,8,1,10,17,8,31,10,2,8,30,10,2,8,6,10,17,8,3,18,2,8,2,10,92,8,5,10,151,8,3,10,101,8,5,10,6,8,2,10,4,8,5,10,28,8,14,15,4,8,33,10,5,8,4,18,2,8,8,10,34,9,3,10,28,9,2,10,31,8,15,10,8,8,2,18,4,4,2,19,4,4,126,19,4,4,1,18,1,3,3,14,1,3,2,18,2,15,2,8,2,15,1,14,4,15,1,18,2,14,1,3,4,14,1,18,1,8,1,18,3,15,1,14,1,15,1,8,1,10,2,8,4,10,2,8,2,15,5,14,1,17,1,16,7,17,1,14,2,15,2,14,4,15,4,8,2,15,4,14,2,15,2,14,3,15,5,14,1,15,6,14,2,3,1,16,1,3,1,14,5,17,2,14,3,17,2,16,1,17,1,14,7,17,2,14,3,7,1,15,1,8,1,18,1,3,2,4,1,19,7,3,1,16,5,17,1,16,4,17,3,16,1,17,1,14,2,17,3,14,2,15,2,14,3,3,2,14,4,18,1,4,35,19,7,4,1,3,1,16,6,14,3,8,3,15,1,7,1,14,3,7,2,14,4,3,1,14,3,16,2,14,2,16,2,17,1,14,2,17,2,16,2,17,3,16,2,17,1,14,1,15,2,14,9,15,2,14,2,15,1,10,1,9,1,3,1,16,3,3,1,18,1,4,16,18,1,3,1,16,8,14,1,15,1,14,5,3,4,18,1,19,4,4,43,18,1,3,1,16,44,3,1,4,1,19,13,4,5,18,5,3,6,16,2,3,3,14,2,15,1,18,1,8,2,15,1,3,1,16,2,3,2,14,6,3,3,14,1,15,1,14,2,3,6,16,2,3,3,18,2,4,6,3,2,16,1,3,2,14,1,18,3,8,1,18,4,3,2,18,1,10,2,9,1,18,1,3,4,10,2,9,1,18,4,3,4,16,17,3,2,16,7,3,1,18,2,16,2,3,2,16,5,3,1,4,2,19,1,18,1,4,3,3,1,16,2,3,2,16,1,3,1,4,8,18,1,3,1,4,2,19,1,3,1,18,2,3,4,16,6,3,2,16,7,3,1,4,285,19,9,4,4,18,5,8,1,9,1,8,1,18,8,8,2,18,3,9,1,10,2,9,1,18,4,9,1,10,2,18,2,10,3,18,1,3,1,16,200,3,1,19,1,4,571,},
{4,57,19,4,4,7,18,1,4,342,10,18,8,33,10,1,8,17,10,2,8,10,10,4,8,4,10,8,8,4,10,5,8,8,10,352,8,5,10,5,8,4,10,2,8,6,10,29,8,11,15,6,8,33,10,7,8,2,18,3,8,2,10,2,8,2,10,93,8,18,10,12,8,1,18,4,4,2,19,4,4,126,19,4,4,1,3,3,18,2,3,2,18,2,8,5,15,1,14,2,7,1,18,1,14,1,3,2,14,1,3,1,14,1,18,2,15,1,14,1,3,1,14,2,15,2,18,1,8,1,10,4,8,1,10,1,9,1,8,2,15,5,14,2,17,1,16,2,17,1,14,1,17,1,16,1,17,2,14,7,15,7,14,6,15,3,14,1,15,6,14,1,15,1,8,2,15,4,14,2,16,1,14,5,17,2,14,3,17,3,16,1,17,2,14,12,15,1,8,1,18,1,3,1,18,1,4,1,19,7,3,1,16,5,17,2,16,3,17,3,16,1,17,1,14,3,17,1,14,2,15,2,8,1,15,1,14,2,3,2,14,4,18,1,4,36,19,7,3,4,16,3,3,1,14,2,15,1,8,1,15,1,7,2,14,3,7,4,14,2,3,1,14,3,16,2,14,2,16,2,17,1,14,4,17,3,16,5,14,2,15,3,14,9,15,2,8,1,10,1,15,1,3,1,16,3,3,1,18,1,4,14,19,2,4,1,3,1,16,9,14,3,15,1,14,2,3,5,19,3,4,44,3,2,16,44,3,1,4,1,19,12,4,3,19,2,4,5,18,1,3,6,16,3,3,2,14,2,15,2,8,2,15,1,14,1,3,2,14,11,15,2,8,1,15,1,14,1,3,1,14,2,18,2,14,1,3,1,16,3,3,1,18,3,4,4,18,1,3,1,16,1,3,4,18,1,8,1,18,2,15,1,18,5,10,2,18,1,3,4,18,2,9,1,10,1,18,1,3,2,18,2,3,3,16,5,3,1,16,11,3,2,16,7,3,1,18,1,3,1,16,2,3,4,16,3,3,1,4,2,3,2,4,2,3,1,16,3,3,2,16,2,19,1,4,1,18,1,3,1,18,1,4,3,3,6,18,2,3,3,16,7,3,2,16,6,3,3,18,2,4,282,19,9,4,4,10,1,18,12,8,1,18,2,8,2,18,3,9,1,10,10,18,3,9,1,10,1,18,1,3,1,16,3,3,5,16,192,3,1,19,1,4,571,},
{4,410,10,4,8,1,10,14,8,51,10,4,8,8,10,7,8,1,10,7,8,4,10,9,8,3,10,243,8,2,10,111,8,3,10,6,8,8,10,32,8,10,15,6,8,34,10,7,8,2,18,3,8,1,10,97,8,18,10,3,8,2,10,9,8,1,18,3,4,2,19,4,4,127,19,3,4,1,18,1,3,2,18,6,10,1,8,1,18,1,15,1,18,2,14,2,8,1,18,1,3,3,18,5,14,1,3,3,14,1,15,1,18,2,8,1,9,1,10,2,8,4,15,2,14,1,15,1,8,2,15,1,14,2,17,3,14,3,17,3,14,5,15,8,14,3,3,1,14,3,15,9,14,3,8,2,15,1,14,5,16,1,17,1,14,4,17,2,14,3,17,1,14,1,17,1,16,1,17,2,14,5,17,1,14,7,15,1,18,2,4,3,19,6,3,1,16,1,3,2,16,2,17,2,16,4,17,2,16,1,17,1,14,7,15,3,14,2,3,1,14,2,15,1,14,2,18,1,4,37,19,6,18,1,3,4,16,1,3,3,14,2,15,2,7,3,14,1,6,1,7,4,14,6,16,2,14,2,16,2,17,1,14,6,17,1,16,5,17,1,14,2,15,2,14,9,15,2,8,1,9,1,15,1,3,1,16,3,3,1,18,1,4,13,19,3,4,1,3,1,16,9,14,2,15,3,14,1,3,3,16,1,3,1,19,3,4,43,18,1,3,2,16,44,3,1,4,1,19,3,4,2,19,7,4,3,19,2,4,6,18,1,3,1,18,2,3,7,14,3,15,3,14,1,16,4,3,3,16,1,3,2,14,6,15,2,14,3,15,1,8,2,15,1,3,1,16,3,3,1,18,1,4,1,18,2,4,3,3,7,18,1,9,2,18,10,3,2,18,5,10,1,9,1,3,2,18,3,3,9,16,10,3,2,16,6,3,2,18,1,3,1,16,2,3,5,16,1,3,2,4,2,16,2,4,2,3,1,16,3,3,2,16,1,3,1,4,2,3,3,4,4,3,1,16,4,3,1,18,1,3,2,16,8,3,2,16,6,3,6,18,1,4,280,19,8,4,5,10,1,18,2,14,1,18,7,8,1,10,2,8,4,18,3,10,12,18,3,10,1,18,1,3,2,16,1,3,1,18,1,10,1,9,1,18,2,3,1,16,191,3,2,4,571,},
{4,411,8,1,10,1,8,2,10,14,8,52,10,12,8,3,10,3,8,4,10,2,8,4,10,257,8,2,10,120,8,7,10,33,8,10,15,5,8,35,10,7,8,1,18,2,15,1,18,1,8,1,10,10,8,1,10,48,18,3,10,4,8,1,10,12,9,1,10,17,8,18,10,1,18,4,8,10,18,3,4,2,19,4,4,137,18,5,14,1,3,1,18,9,14,1,3,1,14,1,18,3,14,1,3,2,14,2,15,1,18,2,8,1,10,1,9,1,15,1,14,3,15,2,14,1,15,1,8,2,15,1,14,1,17,2,14,6,17,2,14,4,15,1,8,1,15,2,14,2,15,3,14,6,15,6,14,1,15,1,14,5,8,2,14,6,16,2,14,12,16,2,17,2,14,3,17,2,14,8,18,1,4,2,3,2,4,2,19,4,3,1,16,1,3,1,14,1,16,2,14,1,17,1,16,5,17,1,16,1,14,10,15,1,14,4,15,2,14,2,18,1,4,39,19,4,4,1,18,2,3,2,16,2,3,2,14,1,15,2,8,1,7,3,14,1,6,2,7,1,8,2,14,6,16,2,17,2,16,2,17,1,14,4,17,1,14,1,17,1,16,2,14,3,17,1,16,1,14,1,15,2,14,8,15,1,8,3,15,3,3,1,16,2,3,1,18,1,4,12,19,3,4,2,3,1,16,8,14,1,8,2,15,2,14,3,3,1,16,2,3,1,19,3,4,43,18,1,3,3,16,43,3,1,19,4,4,4,19,5,4,4,19,3,4,4,18,5,14,1,3,3,14,8,16,14,3,4,14,7,3,5,18,2,4,5,3,3,18,1,3,3,14,1,9,1,10,1,9,1,8,1,18,16,9,2,18,6,3,3,18,3,3,2,16,10,3,3,16,5,3,1,18,2,3,7,16,2,3,1,18,1,4,1,19,1,16,2,4,2,3,1,16,3,3,2,16,1,3,1,19,2,3,4,4,3,19,1,3,2,16,2,3,2,18,1,3,1,16,16,3,3,16,3,3,1,4,280,19,8,4,3,10,2,18,6,8,2,18,3,8,1,10,2,8,1,18,3,8,1,9,1,10,14,18,8,10,2,18,2,10,2,18,1,16,184,3,8,19,1,4,570,},
{4,410,10,4,8,1,10,13,8,54,10,18,8,2,10,1,8,6,10,44,8,2,10,278,8,1,10,55,8,5,10,5,8,3,10,26,8,11,15,4,8,3,15,2,8,10,10,2,8,18,10,8,8,1,18,3,8,1,10,10,8,1,10,48,18,8,10,30,8,17,10,2,18,4,8,4,18,1,15,1,8,4,18,3,4,2,19,4,4,142,18,3,4,2,18,3,4,1,18,12,8,3,18,1,8,2,18,1,14,7,15,1,8,2,15,1,14,4,15,1,14,7,15,1,14,2,15,1,8,1,15,2,14,2,15,3,14,5,15,3,14,1,15,2,14,2,15,2,14,2,3,1,14,1,15,2,14,1,3,1,14,18,16,3,17,2,16,2,17,2,14,8,18,1,4,1,18,1,3,2,18,1,4,1,19,4,3,1,16,1,3,1,14,1,17,1,16,1,14,1,17,1,16,5,17,1,16,1,17,1,14,14,15,2,14,2,18,1,4,39,19,4,4,3,18,1,3,3,18,3,14,2,15,1,8,1,15,1,7,1,14,1,6,2,7,3,14,6,3,1,16,5,17,2,14,2,17,2,14,1,17,1,16,2,14,4,16,1,14,10,15,2,8,2,15,3,9,1,18,1,3,3,18,1,4,2,19,2,4,8,19,2,4,2,18,1,3,2,16,7,15,1,10,1,8,3,14,2,3,4,18,1,19,3,4,43,18,1,3,2,16,44,18,1,4,1,19,3,4,5,19,4,4,4,19,3,4,5,18,6,15,2,14,6,3,1,16,20,3,1,14,3,3,1,16,3,3,1,14,2,18,2,4,5,3,3,18,5,9,1,8,1,15,1,14,1,18,1,15,1,18,3,14,3,18,3,9,1,18,13,3,1,18,2,9,1,18,1,3,3,16,9,3,1,18,1,3,4,16,2,3,4,16,8,3,1,18,1,4,1,18,1,3,2,4,2,3,1,16,4,3,2,18,1,19,3,3,1,16,1,3,1,4,2,19,2,4,1,3,1,16,2,3,2,18,1,3,1,16,3,3,1,16,8,3,2,16,8,3,1,18,1,4,279,19,8,4,3,10,2,9,1,18,5,8,2,18,2,8,1,10,3,8,1,18,1,8,1,10,17,18,4,10,6,18,2,10,3,3,1,16,181,3,10,19,1,4,570,},
{4,411,10,3,8,1,10,13,8,50,10,1,8,4,10,1,8,8,10,12,8,6,10,43,8,4,10,90,8,3,10,121,8,3,10,123,8,9,10,22,8,11,15,6,8,1,15,1,8,10,10,3,8,17,10,10,8,1,18,2,10,18,8,2,10,36,18,1,10,4,18,1,3,1,16,3,3,1,18,1,10,16,18,7,10,2,18,5,8,16,10,2,8,1,18,3,8,4,18,2,15,2,8,2,18,3,4,3,19,4,4,144,19,1,4,7,10,8,9,2,10,5,8,1,15,1,14,8,15,4,14,4,15,7,8,3,15,5,14,6,15,2,14,1,15,4,14,5,15,2,14,1,3,1,16,1,14,7,15,2,14,3,15,3,14,7,17,1,16,7,17,2,14,5,17,1,14,2,18,2,3,3,4,3,19,2,4,1,3,3,14,3,17,1,16,5,17,2,16,2,14,2,17,1,14,1,7,2,15,1,14,3,15,1,14,3,15,2,14,2,18,2,4,42,19,2,4,2,3,2,4,3,18,1,3,2,14,1,15,1,8,2,14,3,6,1,7,2,14,4,17,2,14,2,17,1,16,4,17,4,14,2,17,1,16,3,14,3,17,1,14,3,17,1,16,1,14,2,15,5,8,1,15,5,14,1,3,2,18,1,4,1,19,3,4,13,18,1,3,2,16,7,14,1,8,4,15,1,3,1,16,2,3,1,18,1,4,47,18,1,3,2,16,44,18,1,4,1,19,4,4,5,19,3,4,12,18,6,8,2,15,1,14,1,16,2,3,1,14,1,3,1,16,21,14,3,3,1,16,3,3,1,14,3,3,2,18,1,4,1,18,4,3,2,14,1,18,3,15,1,3,4,15,1,9,2,18,1,14,3,3,1,14,1,18,1,9,1,18,6,9,2,14,1,3,1,18,3,14,1,3,2,18,4,3,1,16,5,3,2,16,1,3,1,18,2,3,1,16,1,3,1,18,1,3,1,16,3,3,2,16,8,3,2,18,2,3,1,19,1,4,2,3,1,16,5,3,1,18,1,19,2,18,1,3,3,4,3,19,3,3,1,16,1,3,2,18,1,3,2,16,1,3,2,16,8,3,2,16,7,3,2,4,280,19,9,4,2,10,3,8,2,18,3,8,2,18,1,8,1,10,4,8,1,18,1,10,17,8,1,10,9,9,1,8,1,9,1,10,1,9,1,18,1,14,1,3,1,16,180,3,10,19,1,4,570,},
{4,411,10,16,8,58,18,3,8,3,10,12,8,7,10,43,8,5,10,88,8,4,10,74,8,1,10,46,8,4,10,5,8,2,10,114,8,6,18,3,8,2,10,20,8,13,15,7,8,11,10,1,8,18,10,10,8,1,18,2,10,18,8,2,10,36,18,1,10,4,18,1,3,1,16,3,3,1,10,12,18,3,10,19,8,3,10,4,8,4,18,1,10,3,8,1,18,3,8,4,18,1,15,3,8,2,18,3,4,2,19,5,4,142,19,6,4,4,10,8,9,2,10,5,9,1,15,1,14,2,15,2,14,7,15,2,14,2,15,7,8,5,15,6,14,3,15,6,14,2,15,3,14,2,8,1,15,1,14,1,16,2,14,6,15,9,14,2,17,2,14,3,17,1,16,3,17,1,16,2,17,3,14,9,3,3,4,7,3,4,14,2,17,1,16,5,17,2,16,5,14,1,7,1,8,2,15,2,14,1,15,1,14,3,15,2,14,2,18,2,4,42,19,3,4,6,18,1,3,3,14,1,8,2,15,1,14,8,17,1,16,1,17,1,14,2,17,1,16,8,17,3,16,3,17,1,14,2,17,1,14,3,17,1,16,1,17,1,14,2,15,10,14,1,3,2,4,2,19,3,4,13,18,1,3,2,16,7,17,1,15,1,8,3,14,1,3,1,16,1,3,2,4,49,3,2,16,44,3,1,4,2,19,4,4,4,19,2,4,14,10,1,9,1,18,2,8,1,9,1,10,1,8,1,14,1,16,3,14,1,16,23,14,2,3,1,16,3,14,1,15,1,14,2,16,1,3,1,18,2,3,2,18,2,3,4,18,2,14,1,3,1,16,3,14,1,8,1,10,1,8,1,18,2,3,4,18,3,9,1,18,1,3,2,18,1,9,1,18,1,14,1,18,4,3,3,18,1,9,1,18,1,3,1,16,4,3,4,18,1,10,1,18,1,16,2,18,2,3,1,16,3,3,1,16,9,3,3,18,1,4,4,3,1,16,6,3,1,4,2,3,2,16,1,3,1,4,3,19,3,3,2,18,1,4,2,18,1,3,3,16,5,3,2,16,2,3,3,16,6,3,1,4,281,19,9,4,3,10,4,8,1,18,2,8,4,10,4,8,2,10,16,18,1,8,1,10,8,9,1,18,1,9,2,8,1,18,2,15,1,14,1,3,1,16,179,3,7,4,2,19,1,4,571,},
{4,411,10,15,8,57,18,2,14,1,18,1,8,2,10,10,8,11,10,43,8,4,10,91,8,1,10,75,8,1,10,32,8,5,10,9,8,3,10,122,8,11,10,18,8,15,15,8,8,30,10,9,8,1,18,2,8,1,10,12,8,2,10,7,8,2,10,29,18,3,10,3,8,2,18,2,3,3,18,1,10,9,18,4,10,30,8,3,10,2,8,1,18,4,8,4,18,2,15,1,8,3,18,3,4,2,19,5,4,142,19,7,4,1,19,1,4,1,10,7,9,1,18,5,8,1,10,2,18,1,15,4,14,10,15,4,14,2,15,21,14,3,15,1,8,2,15,3,14,2,16,1,17,1,14,2,15,1,14,2,15,3,14,1,15,4,14,3,16,2,17,1,14,3,17,8,14,9,15,1,3,3,19,1,4,8,18,1,3,2,14,2,16,5,17,1,14,1,16,6,14,1,7,2,15,2,14,2,15,1,14,3,15,2,14,2,18,1,4,43,19,5,4,5,3,3,14,1,8,4,7,2,17,2,14,3,16,3,14,2,17,1,16,15,17,2,16,1,17,1,14,3,16,2,14,4,15,8,14,1,3,1,18,1,4,1,19,4,4,13,3,2,16,9,15,1,8,2,15,1,14,1,3,3,18,1,4,50,3,1,16,44,3,1,10,1,4,2,19,4,4,2,19,3,4,14,10,2,9,1,18,2,9,1,10,1,9,1,15,1,14,1,3,1,16,26,14,5,8,2,15,1,14,1,16,2,18,2,3,5,16,2,3,1,18,1,8,1,15,1,3,1,16,3,14,1,15,1,8,1,9,2,8,1,3,2,16,1,3,3,18,1,9,1,18,1,3,3,18,2,9,1,18,4,14,1,3,3,18,2,3,1,16,4,3,1,18,2,3,2,18,2,3,5,16,1,3,2,18,1,3,1,16,7,3,5,4,4,3,1,16,6,3,5,16,1,3,1,4,2,19,3,4,7,3,2,16,4,3,1,18,1,4,2,3,1,16,3,3,2,16,5,3,1,4,2,3,2,4,3,3,4,4,17,3,2,4,251,19,9,4,4,10,4,8,1,18,1,8,4,10,19,9,1,18,1,10,11,9,2,8,3,9,1,8,1,18,4,3,1,16,177,3,1,4,580,},
{4,411,10,8,8,2,10,4,8,58,18,3,8,2,10,11,8,12,10,1,8,1,10,3,8,4,10,204,8,1,10,30,8,8,10,50,8,2,10,81,8,10,10,11,8,1,10,7,8,16,15,6,8,22,10,2,8,7,10,10,18,2,8,1,10,2,8,1,10,9,8,3,10,4,8,2,18,1,8,1,10,28,18,3,10,2,8,1,10,18,18,2,9,1,10,17,8,1,10,18,8,2,18,4,8,4,18,1,15,1,8,3,18,3,4,1,19,5,4,143,19,9,4,1,10,6,9,1,18,5,14,1,18,1,9,1,10,1,8,1,18,1,8,1,15,2,14,8,15,6,14,3,15,6,8,1,15,2,14,1,15,9,14,4,15,1,8,2,15,1,14,7,15,2,14,7,15,2,14,3,17,1,16,2,17,1,14,4,17,6,14,10,15,1,3,3,4,10,3,2,14,2,16,5,17,2,16,5,17,1,14,2,7,2,15,1,14,2,15,1,14,3,15,2,14,2,18,2,4,42,19,6,4,4,18,1,3,3,18,1,8,3,7,1,14,1,17,4,14,1,17,1,16,2,14,3,16,15,17,3,14,1,15,2,14,1,16,2,17,1,14,4,15,7,14,1,3,1,4,2,19,4,4,13,18,1,3,1,16,9,15,1,8,2,14,1,3,3,18,1,4,51,3,1,16,44,14,1,10,1,18,1,4,1,19,9,4,2,18,2,4,10,10,3,9,1,18,1,9,1,10,2,15,1,14,2,16,26,3,1,14,4,8,2,15,1,14,1,16,2,15,1,18,1,3,5,16,2,3,1,14,1,18,1,9,1,14,1,16,2,3,2,14,1,15,1,8,1,9,1,18,1,14,1,3,1,16,4,3,2,18,1,3,4,18,7,14,1,3,2,18,2,3,2,16,2,3,1,18,3,3,2,18,2,3,2,18,1,3,4,18,2,3,1,16,5,3,6,18,1,4,4,18,1,3,1,16,3,3,3,16,1,3,3,16,1,3,1,19,1,4,5,18,1,4,5,3,1,16,4,3,2,4,3,3,1,16,10,3,1,4,2,3,1,16,1,4,2,3,1,16,4,3,1,4,16,3,2,19,1,4,251,19,8,4,4,10,5,8,1,10,12,9,1,18,2,10,9,18,1,10,12,9,1,8,2,9,4,8,1,9,1,10,1,18,1,16,176,3,2,4,580,},
{4,73,19,1,4,337,10,10,8,43,10,5,8,8,10,2,8,6,10,14,8,14,10,3,8,4,10,235,8,8,10,17,8,3,10,30,8,2,10,80,8,1,10,1,8,7,10,21,8,4,10,1,8,12,15,3,8,11,18,2,8,11,10,3,8,7,10,9,8,1,18,1,8,1,10,1,8,2,10,9,8,3,10,3,8,2,18,2,8,1,10,18,8,1,10,6,8,1,18,3,10,3,18,2,10,8,8,3,10,5,8,1,18,1,9,3,10,17,8,2,10,16,8,3,18,4,8,3,18,3,8,4,18,2,4,1,19,4,4,127,19,5,4,12,19,8,4,2,10,4,9,3,18,5,15,1,18,1,8,3,15,3,14,8,15,2,8,4,15,2,14,2,15,3,14,2,15,4,14,2,15,7,14,6,15,2,14,6,15,3,14,20,17,9,14,8,18,3,4,11,18,1,3,1,14,2,17,2,14,1,17,1,16,8,14,1,7,1,14,2,7,1,15,2,14,5,15,1,8,1,14,3,18,1,4,43,19,5,4,4,18,1,3,3,18,4,15,1,14,6,17,1,16,1,17,1,14,3,17,1,16,14,17,1,14,3,8,1,15,1,14,1,16,2,17,1,14,5,15,6,18,2,4,1,19,5,4,13,18,1,3,1,16,9,14,1,8,1,15,1,3,3,18,1,4,48,19,3,4,1,3,1,16,44,14,1,10,1,18,1,4,1,19,9,4,2,18,2,4,10,10,2,9,1,8,3,10,1,9,1,15,1,14,2,16,27,17,1,14,1,16,1,14,4,17,1,16,2,14,3,3,1,16,2,3,5,18,1,10,1,9,1,3,3,14,4,15,1,14,3,3,1,16,4,3,3,16,2,3,2,14,2,15,3,14,3,15,1,18,2,15,1,14,1,3,2,18,3,14,1,3,2,18,1,9,1,15,2,9,1,18,1,3,2,14,1,18,2,3,1,16,3,3,7,18,1,4,2,18,1,3,1,18,1,4,2,16,2,3,4,16,2,18,2,16,2,18,1,4,3,3,4,4,4,3,1,16,3,3,3,18,3,3,1,16,10,3,1,4,2,3,2,4,2,3,1,16,4,3,2,4,16,19,2,4,251,19,9,4,1,19,1,4,1,10,14,9,1,10,3,18,3,10,12,18,3,10,8,9,5,8,2,9,1,10,1,9,1,18,1,16,175,3,2,18,1,4,8,19,1,4,570,},
{4,72,18,1,3,2,4,336,10,9,8,45,10,1,8,17,10,13,8,16,10,5,8,2,10,236,8,7,10,18,8,4,10,30,8,1,10,83,8,3,10,29,8,12,15,1,8,11,18,2,8,13,10,2,8,9,10,5,8,1,10,3,8,1,10,14,8,6,18,1,8,2,10,18,8,6,10,3,8,1,18,1,8,1,10,2,18,3,10,4,8,6,10,6,8,2,10,34,8,9,18,3,8,6,18,1,8,2,18,2,4,1,19,4,4,126,19,6,4,13,19,7,4,1,18,13,15,6,8,1,15,2,14,2,15,3,14,1,15,4,8,4,15,2,14,1,15,4,14,1,15,4,14,1,15,8,14,12,15,4,14,3,17,1,16,2,17,1,14,11,17,2,14,1,17,1,16,2,17,7,14,7,3,1,18,1,4,12,3,3,14,5,16,8,14,1,7,1,14,3,7,2,15,2,14,3,15,1,8,1,15,1,14,2,18,1,4,54,18,6,14,8,16,2,14,3,17,3,16,2,17,2,16,9,14,2,7,1,8,1,15,1,16,3,17,1,16,1,17,1,14,5,15,3,14,1,18,2,4,1,19,4,4,14,18,1,3,1,16,9,14,1,15,1,14,1,3,2,18,1,4,49,19,4,4,1,3,3,16,41,3,1,8,1,4,2,19,9,4,1,18,1,3,2,18,1,4,8,18,2,8,6,15,2,14,2,16,36,17,2,14,3,3,1,16,1,3,5,14,1,9,2,14,1,3,5,14,4,15,1,14,1,3,1,16,3,3,3,16,5,3,1,14,7,15,1,18,8,14,1,3,1,14,1,18,2,14,1,15,1,9,1,18,1,14,1,3,1,14,3,3,1,16,2,3,2,18,4,3,2,18,1,4,1,18,1,3,3,4,2,3,1,16,1,3,1,18,1,4,1,18,1,3,2,4,2,3,1,16,1,3,1,18,1,4,1,18,1,3,1,16,2,3,1,18,1,4,3,3,11,16,5,3,2,16,1,3,2,18,1,4,2,18,1,3,1,18,1,3,2,16,4,3,2,18,1,4,268,19,11,4,2,10,11,8,3,10,3,18,3,10,12,18,3,10,10,9,3,8,3,10,3,3,1,16,176,3,1,18,1,4,4,3,5,18,1,4,568,},
{4,72,18,1,3,3,4,2,19,7,4,325,10,10,8,60,10,2,8,1,10,12,8,5,10,3,8,8,10,245,8,4,10,8,8,1,10,25,8,3,10,134,8,23,18,1,8,20,18,1,8,4,10,5,8,2,10,9,8,1,10,8,8,2,18,4,8,2,10,6,9,1,10,5,8,1,10,4,8,3,10,12,8,1,18,2,10,13,8,3,10,12,8,4,10,20,8,3,10,1,8,6,18,3,8,4,18,3,10,1,18,2,4,1,19,4,4,126,19,5,4,16,19,1,4,4,18,12,15,3,14,4,18,1,8,8,15,5,8,1,10,3,8,1,15,1,14,1,15,16,14,6,15,1,14,8,15,1,14,16,15,1,14,2,17,1,16,3,17,1,16,2,17,3,16,2,17,2,14,1,7,1,15,2,14,3,3,1,18,1,4,12,3,1,16,1,3,1,14,5,16,3,17,2,16,2,17,1,7,1,15,1,14,3,15,1,7,2,15,2,14,2,15,1,8,1,15,1,14,2,18,1,4,57,18,2,3,2,14,7,17,1,16,1,14,6,17,2,14,2,16,9,17,1,14,1,7,1,8,1,14,1,16,6,14,5,15,3,14,1,18,2,4,19,18,1,3,1,16,8,3,1,15,2,14,1,3,2,4,50,19,4,4,1,18,1,3,3,16,41,14,1,10,1,4,1,19,5,4,6,18,1,3,1,18,1,4,5,10,2,9,1,18,4,8,1,10,1,8,1,14,5,16,36,17,1,16,1,3,1,15,1,18,1,3,3,14,2,3,3,14,2,3,1,16,4,3,1,14,1,15,1,14,1,3,5,16,1,3,5,16,4,3,10,15,1,18,1,15,1,14,1,3,1,14,2,15,1,14,2,15,1,14,1,3,2,15,1,18,1,15,1,3,8,18,10,3,1,16,1,3,1,4,2,18,1,3,1,18,1,4,3,18,1,4,3,3,1,16,2,3,3,16,3,3,1,18,1,4,2,18,6,3,2,16,1,3,2,18,1,3,1,16,4,3,1,4,1,3,2,4,6,3,2,16,3,3,5,4,268,19,12,4,2,10,10,8,1,18,2,9,1,10,2,18,3,10,13,8,1,10,12,9,1,8,2,18,2,8,2,18,1,3,1,16,177,3,1,18,1,4,1,3,2,16,4,3,2,19,1,4,567,},
{4,73,3,3,18,1,4,1,19,10,4,323,10,9,8,60,10,14,8,6,10,3,8,3,18,2,8,2,10,253,8,8,10,2,8,3,10,9,8,2,10,7,8,3,10,134,8,24,18,2,8,19,18,3,8,1,10,3,8,5,10,7,8,2,10,9,8,1,18,2,8,3,10,6,18,2,10,4,18,1,10,5,8,2,10,29,8,3,10,12,8,3,10,20,8,5,10,2,8,11,18,3,8,1,18,2,4,1,19,4,4,126,19,4,4,3,18,1,4,4,18,3,4,9,18,3,3,3,14,12,3,2,14,1,15,5,8,4,15,4,14,1,15,1,8,1,10,2,8,1,15,1,14,1,15,15,14,11,15,2,14,6,17,1,14,2,15,1,14,5,17,2,14,3,15,2,14,1,17,1,16,6,17,3,16,2,17,1,14,2,15,3,7,1,14,2,3,1,18,1,4,3,19,1,4,7,18,1,3,1,16,2,14,5,16,2,17,1,14,3,16,1,17,1,7,1,8,1,14,3,15,2,8,2,15,3,8,2,15,2,14,1,18,1,4,58,18,2,3,2,14,4,7,1,14,1,17,1,16,1,14,8,7,1,14,1,16,10,14,1,7,1,15,1,14,1,16,6,14,1,15,5,8,1,15,2,18,2,4,18,18,2,3,1,16,8,3,1,15,1,14,2,3,1,18,1,4,50,19,4,4,1,3,2,16,43,3,1,18,1,4,1,19,4,4,6,18,6,4,3,10,2,18,5,8,1,10,1,8,1,14,1,16,2,14,2,16,38,17,1,14,1,15,1,14,1,3,1,14,2,18,1,14,1,3,1,16,9,15,1,8,1,14,1,3,9,14,1,3,1,16,8,3,3,16,2,3,1,14,2,3,2,16,1,3,2,14,3,3,2,16,2,3,1,14,1,18,1,15,1,3,1,16,2,3,1,16,1,3,1,14,1,18,2,3,2,18,1,9,2,18,3,3,1,16,1,3,1,4,2,18,1,3,1,18,1,4,7,3,1,16,3,3,2,16,3,3,1,4,2,3,3,18,4,3,1,16,3,3,1,18,2,3,1,16,1,3,2,18,1,4,1,18,2,4,2,3,2,4,2,3,1,16,4,3,5,4,8,19,1,3,1,19,1,4,257,19,12,4,2,10,9,8,1,18,2,8,1,10,3,18,2,9,1,10,19,9,1,8,2,9,1,10,3,9,1,8,3,18,1,8,1,18,2,3,5,16,173,3,1,18,2,3,1,16,6,3,2,19,1,4,566,},
{4,73,18,1,3,3,4,1,19,9,4,324,10,9,8,55,10,8,8,1,10,10,8,10,18,4,8,1,10,253,8,4,18,4,8,7,10,8,8,3,10,6,8,2,10,135,8,13,18,1,15,2,18,1,8,7,18,4,8,16,18,4,8,1,10,1,8,10,10,4,8,3,10,8,8,1,18,2,8,2,10,6,18,1,4,6,18,1,10,25,8,2,10,40,8,2,10,4,8,5,10,1,8,13,18,6,4,1,19,4,4,130,18,3,3,1,18,4,14,2,18,3,4,1,18,3,4,3,18,2,14,1,3,1,14,20,3,1,14,4,15,3,8,1,15,1,14,2,8,1,10,2,8,1,15,2,14,1,15,12,14,13,15,2,14,6,17,1,14,2,8,2,15,2,14,3,17,2,14,5,16,7,17,5,14,2,7,5,14,2,3,1,18,1,4,2,18,2,4,6,3,2,16,2,17,1,14,2,17,1,14,2,17,1,14,4,17,1,16,2,7,1,8,1,14,2,7,2,15,1,8,3,15,1,8,4,15,1,18,2,4,54,19,4,4,1,18,1,3,3,14,3,7,1,14,1,17,2,14,3,7,3,14,2,7,1,14,1,16,10,17,1,14,1,15,1,14,1,16,5,17,1,14,1,8,7,15,1,18,2,4,18,18,2,3,2,16,7,3,1,18,1,14,1,18,2,4,51,19,2,4,2,3,2,16,45,18,1,4,1,19,3,4,2,19,1,3,1,18,4,9,1,18,3,3,2,18,8,15,1,8,1,10,1,8,1,3,1,16,42,17,2,14,6,15,1,14,1,3,1,16,4,3,1,14,1,16,2,14,1,8,1,15,1,14,1,16,6,3,4,16,8,3,1,14,1,16,4,3,1,14,1,16,4,3,6,16,3,3,1,18,2,3,1,16,5,3,5,18,1,10,2,3,2,18,1,3,3,4,2,3,4,4,5,3,1,16,3,3,1,4,2,3,1,16,2,3,1,19,2,3,1,16,3,3,4,16,4,3,4,4,2,3,6,16,1,3,1,4,2,3,1,16,4,3,6,18,1,4,6,3,1,16,2,3,1,4,4,18,1,3,4,4,7,18,2,4,242,19,8,4,2,10,5,9,1,10,1,8,3,18,1,8,1,10,5,9,1,10,19,9,1,8,1,18,2,8,10,18,1,14,2,18,2,9,1,18,1,3,1,16,171,3,1,18,1,4,2,3,2,16,7,3,3,4,564,},
{4,74,3,1,16,1,3,1,18,1,19,8,4,324,8,1,10,8,8,23,15,1,18,1,8,33,10,5,8,2,10,10,8,14,10,254,8,5,18,3,8,1,10,2,8,4,10,9,8,3,10,142,8,13,15,3,18,1,8,7,18,5,8,4,10,1,8,11,18,3,10,2,8,3,10,2,8,6,10,3,8,3,10,7,8,6,10,6,18,1,4,6,10,22,18,1,10,2,8,1,10,41,8,5,10,2,8,4,10,5,8,11,18,5,4,1,19,4,4,126,18,3,3,2,14,8,7,2,8,2,18,7,8,2,14,18,15,1,14,3,3,2,14,5,15,2,14,4,8,3,15,3,14,1,15,10,14,15,15,1,14,8,15,1,8,1,15,3,14,10,17,1,16,4,17,5,14,4,7,1,14,7,18,1,4,2,18,2,4,5,3,1,16,4,17,1,14,11,16,2,7,1,8,1,14,2,7,2,15,1,8,8,15,2,18,1,4,54,19,4,4,1,18,1,3,4,14,5,17,2,14,1,7,1,8,1,7,5,17,1,16,10,17,1,14,1,7,1,14,1,17,1,16,4,14,1,7,1,8,8,18,2,4,18,18,3,3,4,16,4,3,1,18,3,4,52,19,2,4,1,19,1,3,1,16,46,18,1,4,1,19,4,4,2,18,4,9,3,18,2,3,3,14,3,15,2,18,1,15,2,8,1,9,1,15,1,14,1,16,17,17,2,16,26,14,1,15,1,14,3,15,1,18,1,14,1,16,5,14,1,16,1,14,2,15,2,14,1,3,1,16,6,3,2,16,10,3,1,16,20,14,2,16,2,3,1,16,4,3,3,14,1,18,1,10,1,18,1,3,1,16,1,3,4,4,1,18,1,3,1,16,2,3,1,18,1,4,2,18,1,3,1,16,4,3,1,4,2,3,1,16,2,3,1,19,2,3,1,16,5,3,2,16,5,3,2,4,3,3,1,16,6,3,1,4,2,3,1,16,7,3,4,4,5,3,1,16,3,3,1,4,4,3,1,16,4,3,1,18,1,4,5,3,2,4,243,19,8,4,2,10,4,8,1,9,1,8,1,9,1,8,2,10,26,8,1,18,6,8,4,10,1,8,2,18,4,9,1,10,2,18,1,16,171,3,2,4,2,3,1,16,10,3,2,4,563,},
{4,74,3,1,16,1,3,2,4,1,19,7,4,323,10,1,8,1,10,7,8,23,15,4,18,1,8,37,10,11,8,2,10,2,8,7,10,258,8,8,10,3,8,3,10,10,8,3,10,141,8,13,18,1,15,2,8,8,18,4,8,17,18,2,8,1,10,2,8,2,10,4,8,5,10,5,8,2,10,6,8,6,10,7,4,6,10,62,8,2,10,3,8,5,10,1,8,4,10,4,8,14,18,3,4,2,19,4,4,125,18,1,3,5,14,8,7,1,8,3,18,1,14,4,18,1,8,1,10,1,8,1,14,1,3,1,14,16,15,2,14,4,15,7,14,4,15,6,14,4,15,6,14,13,17,2,14,26,16,3,17,5,14,3,15,2,14,2,17,3,14,4,18,3,4,5,3,1,16,5,17,1,14,6,17,1,14,4,16,1,14,1,7,1,8,1,14,2,7,3,15,1,8,7,15,2,18,1,4,54,19,4,4,2,3,4,14,6,16,1,17,1,7,1,8,1,7,2,8,1,7,1,14,1,16,7,17,2,16,1,17,1,14,1,7,2,14,2,16,3,17,1,14,1,15,1,8,3,15,1,8,3,15,1,18,3,4,19,18,2,3,4,16,3,3,1,18,3,4,55,18,1,3,1,16,46,3,1,4,1,19,4,4,4,18,7,3,2,14,2,3,2,14,1,15,1,18,1,15,3,8,1,15,1,14,1,16,18,17,1,16,26,14,1,15,1,14,3,15,1,9,1,15,1,3,1,16,5,3,1,14,1,15,2,14,2,3,2,14,1,3,2,16,2,3,2,16,35,3,2,16,2,3,1,14,1,18,1,9,1,18,3,3,1,16,4,3,1,18,1,10,1,18,1,3,1,16,2,3,1,18,2,3,3,16,4,3,1,4,2,3,1,16,2,3,1,4,2,3,1,16,5,3,2,16,5,3,1,4,4,3,1,16,6,3,1,4,2,3,4,16,3,3,4,18,1,4,4,3,2,16,3,3,1,4,3,3,1,16,6,3,2,4,2,18,1,3,6,4,241,19,7,4,3,10,3,9,1,10,16,18,2,10,11,8,2,18,10,8,1,9,1,8,1,15,1,18,1,10,2,18,2,9,1,10,2,3,1,16,172,3,2,16,11,3,4,18,1,4,560,},
{4,74,18,1,3,3,18,1,4,1,19,6,4,323,10,8,8,16,15,1,8,7,15,2,14,1,15,2,18,1,8,37,10,10,8,2,10,2,8,5,10,265,8,3,10,3,8,2,10,13,8,1,10,142,8,23,18,1,8,4,18,1,8,18,10,1,8,3,10,7,8,5,10,3,8,3,10,2,8,8,10,7,4,6,10,52,8,3,10,7,8,2,10,5,8,6,10,6,8,14,18,3,4,2,19,4,4,124,3,7,14,6,7,4,15,3,14,5,18,1,8,1,18,1,14,6,15,1,14,11,15,6,8,2,15,4,14,7,15,4,14,5,15,2,14,14,17,3,14,14,16,2,17,2,14,1,15,2,14,7,17,3,14,2,17,2,14,2,15,3,14,1,17,1,16,2,17,1,14,4,3,2,18,1,4,4,18,1,3,1,16,5,17,1,14,5,17,1,16,2,17,1,14,4,8,2,14,2,7,4,15,1,8,2,15,6,18,2,4,54,19,3,4,2,3,4,14,2,17,1,14,1,7,1,14,1,16,2,7,1,8,1,7,2,8,1,7,1,17,1,16,7,17,4,14,4,17,1,16,3,14,2,7,3,14,4,15,3,14,1,18,1,4,15,19,3,4,1,18,2,3,4,16,3,3,1,18,3,4,55,18,1,16,47,3,1,4,2,19,4,4,4,18,9,14,1,3,2,14,1,15,8,14,1,16,12,14,2,16,31,14,5,18,2,14,1,3,1,16,5,3,1,14,4,3,9,16,12,3,2,16,6,3,1,16,13,3,1,14,1,3,1,16,2,3,1,18,1,10,3,9,1,14,1,3,1,16,4,3,1,10,2,18,1,3,4,18,1,3,1,16,2,3,1,16,4,3,1,4,2,18,1,3,1,16,1,3,1,18,2,3,1,16,5,3,2,16,5,3,1,4,3,18,1,3,1,16,6,3,1,4,2,3,4,16,3,3,3,18,1,4,4,18,1,3,1,16,4,3,1,4,2,3,1,16,8,3,1,4,2,3,8,19,1,4,239,19,8,4,2,10,20,18,2,10,10,18,4,8,3,18,6,8,3,18,1,8,1,10,2,8,1,18,2,9,1,10,1,18,1,16,187,3,4,4,559,},
{4,75,18,1,3,3,18,2,4,3,19,1,4,1,18,1,3,1,18,1,4,320,10,8,8,16,15,4,8,4,15,4,18,2,8,33,10,3,8,4,10,6,8,4,10,1,8,3,10,192,8,1,10,1,8,3,10,70,8,1,18,1,8,5,10,34,8,2,10,122,8,9,18,1,8,10,18,3,8,2,10,1,8,1,18,2,8,16,10,2,8,3,10,4,8,1,10,2,8,5,10,3,8,3,10,2,8,9,10,6,4,6,10,53,8,2,10,7,8,2,10,6,8,4,10,7,8,13,18,3,4,2,19,5,4,123,18,1,3,6,14,5,7,7,14,8,15,2,14,6,15,2,14,9,15,3,14,2,15,8,14,2,15,2,14,3,15,3,14,21,17,3,14,15,17,1,16,3,14,2,15,1,14,4,15,2,14,6,17,1,14,3,15,3,14,2,17,3,6,1,7,1,14,2,3,2,18,2,3,4,16,3,14,2,17,1,14,3,15,1,14,2,16,4,14,3,7,4,14,1,7,2,14,2,15,4,14,3,15,1,7,1,14,1,18,1,4,59,3,4,14,2,17,1,14,3,16,2,7,1,8,1,7,2,8,1,7,1,16,9,17,3,14,3,17,1,16,4,17,1,14,3,6,1,17,2,14,6,18,2,4,14,19,3,4,1,3,9,18,4,4,55,18,1,16,48,3,1,4,1,19,4,4,5,18,2,3,1,14,2,18,4,14,2,15,7,8,2,14,1,16,12,14,2,16,31,3,1,14,2,3,3,14,3,16,2,3,1,16,4,14,1,15,2,3,1,16,3,3,4,14,1,3,1,16,11,14,2,16,5,3,1,14,1,3,2,16,6,14,2,16,3,3,1,14,1,3,1,16,3,14,1,10,3,9,1,14,1,16,5,18,1,10,2,9,1,18,5,3,1,16,2,3,2,16,3,3,1,18,1,4,1,18,1,3,3,18,2,3,1,16,5,3,2,16,5,3,1,4,3,3,1,16,7,3,1,4,2,3,4,16,3,3,3,4,4,18,1,3,1,16,4,3,2,4,2,3,1,16,8,3,1,18,3,3,9,18,1,4,237,19,8,4,2,10,6,9,1,10,5,9,2,10,6,9,1,10,11,18,3,8,5,18,7,8,3,18,1,8,2,9,1,8,1,18,1,8,1,18,1,3,1,16,188,3,3,18,2,3,2,18,1,4,553,},
{4,76,3,6,18,1,4,3,3,4,4,320,10,7,8,4,18,1,15,4,8,8,15,4,8,37,10,8,8,4,10,6,8,8,10,9,8,5,10,7,8,1,10,42,8,2,10,129,8,3,10,68,8,8,10,34,8,1,10,129,8,3,15,1,18,1,8,1,9,1,8,8,18,3,8,3,18,2,8,15,10,3,8,2,10,4,8,9,10,3,8,2,10,3,8,7,18,1,8,1,10,6,4,6,10,54,8,2,10,6,8,4,10,4,8,4,10,7,8,11,18,5,4,1,19,6,4,27,19,1,4,95,3,7,14,3,15,1,7,7,14,7,3,2,14,3,15,3,14,2,15,2,14,8,15,4,14,2,15,3,14,3,15,2,14,2,15,2,14,4,15,2,14,17,17,6,14,5,17,2,14,10,16,4,14,6,15,2,14,11,15,2,7,8,14,1,3,2,18,2,3,5,16,1,14,1,7,2,14,3,15,2,14,2,16,4,14,2,7,1,14,3,7,4,14,2,15,2,7,1,14,4,15,2,14,1,3,1,18,1,4,58,18,1,3,3,14,6,16,2,14,1,7,2,8,2,7,1,16,8,17,4,14,2,16,10,17,3,16,2,14,2,15,1,18,3,4,14,19,3,18,1,3,5,18,6,3,2,18,1,4,54,3,1,16,49,18,1,19,4,4,6,18,1,3,3,14,1,15,1,18,2,14,2,15,1,18,1,15,6,8,1,15,1,14,1,16,11,14,2,16,32,14,2,3,2,16,1,3,1,14,1,15,1,14,3,3,1,16,3,14,1,8,1,15,1,14,1,16,3,3,1,18,3,14,2,16,11,14,1,15,1,14,1,16,4,3,1,14,1,15,2,14,2,3,1,16,2,3,1,15,2,16,2,3,1,14,2,3,1,16,3,14,1,9,1,10,2,8,1,3,1,16,4,3,1,9,1,10,1,9,1,18,3,10,1,9,1,18,1,3,1,16,1,3,1,18,1,3,1,16,3,3,2,18,2,3,3,18,1,3,2,16,6,3,1,16,6,18,1,4,1,18,1,3,1,16,5,3,6,16,1,3,2,16,5,3,1,4,4,3,1,16,5,3,2,18,1,3,1,16,9,3,1,18,1,4,2,18,1,3,6,16,1,3,2,4,237,19,8,4,2,10,5,9,1,18,1,8,1,10,3,18,3,10,1,4,2,10,15,18,2,8,1,10,3,8,3,18,1,8,1,18,1,8,1,18,2,8,1,10,1,8,5,18,2,8,1,18,2,3,1,16,190,3,5,18,1,4,552,},
{4,76,18,1,3,1,16,3,3,9,4,324,10,3,8,4,18,2,15,3,8,9,15,2,8,36,10,7,8,2,10,10,8,2,10,3,8,3,10,7,8,10,10,3,8,5,10,38,8,5,10,129,8,2,10,65,8,11,10,17,8,2,10,39,8,1,10,105,9,1,8,2,15,1,18,1,8,5,9,2,10,2,8,2,18,6,15,1,8,15,10,3,8,2,10,3,8,14,10,4,8,7,18,2,9,1,10,5,18,1,10,21,8,2,10,4,8,1,10,33,8,4,10,3,8,4,10,3,8,5,10,3,8,2,10,2,8,9,18,6,4,1,19,2,4,30,3,3,4,94,3,6,14,5,7,8,14,6,3,2,14,3,15,2,14,3,15,6,14,3,15,5,14,2,15,3,14,3,15,2,14,2,15,2,14,10,15,1,14,2,3,1,17,1,14,4,17,8,14,5,17,2,16,1,17,2,14,9,17,1,16,3,14,6,15,2,14,12,15,2,8,3,7,4,14,1,3,11,14,1,7,1,14,6,17,2,16,3,14,4,17,1,14,1,7,1,8,2,7,1,14,2,7,1,15,1,7,1,14,4,15,1,7,1,14,1,3,2,4,59,18,2,3,2,14,4,17,1,16,2,17,1,7,2,8,2,14,1,16,8,17,1,14,1,17,3,16,3,17,2,16,6,17,1,6,1,14,2,17,1,14,2,8,2,18,2,4,14,19,2,4,1,18,1,3,5,18,3,4,1,18,2,3,2,18,1,4,54,3,1,16,49,3,1,4,1,19,3,4,7,18,1,3,3,14,4,15,1,8,2,15,4,8,1,15,1,14,3,17,1,16,10,14,2,16,32,3,1,14,2,3,1,16,2,3,1,14,1,15,3,14,1,16,3,14,1,8,2,14,1,16,4,3,2,15,1,14,2,16,11,14,1,15,1,14,1,16,4,3,1,14,1,15,3,14,4,15,1,8,1,15,1,3,2,14,1,15,3,14,4,8,1,9,2,14,1,16,4,3,1,18,1,9,2,18,1,3,3,18,3,3,1,16,1,3,1,18,2,16,3,3,1,18,2,3,4,18,1,3,2,16,6,3,1,16,6,3,1,18,2,3,1,16,4,3,4,16,4,3,3,16,4,3,1,4,3,3,1,16,6,3,3,16,10,3,1,4,3,18,6,3,4,4,237,19,9,4,3,10,2,9,1,18,3,10,2,4,2,18,2,4,4,10,13,18,1,10,5,8,6,9,1,10,1,8,4,10,3,8,1,18,2,8,1,10,2,18,1,3,1,16,185,3,2,16,7,3,2,4,552,},
{4,77,3,2,16,3,3,7,18,1,4,319,18,6,8,6,18,1,8,50,10,7,8,3,10,9,8,3,10,2,8,5,10,4,8,12,10,2,8,5,10,39,8,4,10,196,8,2,18,3,8,1,10,23,8,2,10,37,8,3,10,105,8,3,18,2,8,3,9,1,10,3,9,1,8,2,18,8,8,10,10,1,8,3,10,3,8,3,10,3,8,11,10,9,8,3,10,2,8,3,10,4,18,2,9,1,10,20,8,2,10,4,8,1,10,23,8,3,10,6,8,7,10,1,8,4,10,3,8,6,10,1,8,3,10,2,8,9,18,4,4,3,19,2,4,30,3,3,4,94,18,1,3,4,14,6,15,1,7,5,14,14,15,2,14,1,15,2,8,1,15,4,14,4,15,4,14,2,15,2,14,4,15,2,14,2,15,1,14,14,16,1,17,6,16,4,17,6,14,1,17,1,16,3,17,2,14,3,17,3,14,4,17,1,16,2,17,1,14,19,15,1,8,4,7,2,14,3,3,4,18,1,3,4,14,3,7,1,14,6,17,1,14,2,17,2,14,4,17,1,14,1,7,1,8,2,7,1,14,2,7,1,15,2,14,5,7,1,3,3,4,61,18,2,14,4,17,3,16,1,14,1,7,1,8,2,14,1,16,8,17,3,16,5,14,1,17,1,16,6,17,1,14,1,7,1,14,3,15,1,8,1,9,1,18,3,4,16,18,1,3,1,18,2,3,2,18,3,4,2,18,1,3,2,18,1,4,54,3,1,16,49,3,1,4,11,18,1,3,5,14,2,18,2,8,4,15,3,14,2,15,1,14,1,16,8,17,1,14,2,17,1,16,33,3,3,16,2,3,1,14,1,18,1,9,1,15,1,14,1,16,2,3,1,14,4,16,4,3,2,14,2,3,1,16,2,3,2,16,6,3,2,14,2,3,1,16,3,3,1,14,2,15,1,14,4,15,4,3,1,14,1,18,1,9,1,18,1,15,1,14,7,3,1,16,3,3,1,18,1,10,2,18,1,3,2,16,1,3,2,18,2,3,3,18,2,3,1,16,1,3,1,18,1,9,1,18,1,3,1,16,3,3,3,16,14,3,1,18,2,3,1,16,2,3,4,16,5,3,3,16,4,3,1,4,2,3,1,16,6,3,3,16,11,3,1,4,2,18,1,3,2,18,5,3,2,4,238,19,10,4,2,10,2,8,1,18,5,4,4,19,2,4,2,10,12,18,2,10,5,8,5,10,5,8,2,10,3,8,1,18,2,9,1,10,2,3,1,16,195,3,2,4,552,},
{4,78,18,1,3,1,16,2,3,6,4,320,18,2,8,6,15,1,18,3,8,10,18,1,8,42,10,4,8,4,10,4,8,29,10,108,8,2,10,71,8,2,10,64,8,5,18,1,8,1,10,8,8,1,10,32,8,1,10,19,8,1,18,1,8,2,10,35,8,2,10,1,8,1,18,2,8,4,10,8,8,2,10,50,8,8,10,4,9,1,8,1,18,8,15,1,18,1,8,2,18,3,8,1,10,2,8,2,10,2,8,2,10,5,8,7,10,2,8,2,18,1,8,2,10,9,8,2,18,1,8,1,10,3,8,2,10,25,8,1,10,31,8,2,10,6,8,9,10,5,8,7,10,3,8,1,10,4,8,10,18,2,4,1,19,4,4,17,19,2,4,10,18,1,3,3,4,21,19,7,4,63,19,3,4,1,3,4,18,2,14,2,15,2,14,1,15,1,8,2,15,1,14,15,15,4,8,3,15,2,14,1,15,1,14,5,15,2,14,2,15,2,14,2,15,2,7,1,14,3,15,1,14,1,17,1,16,1,14,5,17,1,14,3,17,5,16,2,17,2,16,3,17,4,16,1,17,3,16,3,17,1,14,4,17,3,16,1,17,2,14,5,17,2,14,12,17,2,14,3,15,1,8,5,7,1,14,8,15,1,14,11,17,2,14,4,17,3,14,3,7,6,14,1,7,3,15,1,7,1,14,6,3,2,18,1,4,61,18,1,14,2,3,2,14,3,16,1,14,2,8,1,15,1,14,1,16,15,17,1,6,2,16,6,6,1,7,1,8,2,7,1,14,1,8,2,18,1,3,3,4,16,18,4,3,3,18,2,4,3,18,2,4,55,18,1,3,1,16,48,3,1,18,1,4,10,18,1,3,7,18,3,8,3,15,2,7,1,8,2,7,1,14,2,16,6,14,4,17,1,16,38,3,1,14,2,15,2,14,1,3,2,14,2,3,1,16,7,3,1,14,1,16,2,3,1,14,1,16,2,14,2,16,8,3,4,14,3,3,3,14,1,3,6,14,1,8,2,18,1,3,3,14,2,3,1,16,2,3,3,18,3,10,2,9,1,16,3,3,7,18,2,3,3,18,1,10,1,18,1,3,1,16,5,3,2,16,12,3,2,18,2,3,6,16,6,3,3,16,3,3,1,18,1,4,2,3,1,16,4,3,5,16,10,3,9,18,2,3,3,4,239,19,9,4,2,10,3,8,3,18,2,4,2,19,3,4,3,10,5,9,2,10,5,8,2,10,3,8,8,9,1,8,4,10,3,8,3,9,3,14,1,16,191,3,1,16,3,3,2,18,1,4,552,},
{4,79,18,1,3,3,18,4,4,315,18,1,10,1,9,1,4,1,18,4,8,5,7,1,14,2,18,1,8,24,18,5,8,5,10,1,8,6,10,2,8,18,10,5,8,6,10,3,8,11,10,97,8,1,10,20,8,1,10,36,8,1,10,100,8,6,10,8,8,4,10,50,8,3,10,35,8,1,18,2,8,2,14,2,18,1,8,1,18,1,8,1,10,8,8,2,10,49,8,2,18,2,8,3,9,1,10,5,8,1,18,1,15,1,14,2,18,5,15,2,8,2,18,1,15,1,18,1,8,1,10,3,8,1,10,10,8,3,10,1,8,2,10,2,8,2,18,2,10,12,8,1,10,15,9,2,10,13,8,2,10,31,8,2,10,3,8,12,10,5,8,5,10,5,8,1,10,4,8,10,18,2,4,1,19,4,4,16,19,4,4,6,18,1,3,5,18,1,4,21,19,7,4,62,19,4,4,1,18,1,3,3,18,2,14,2,15,1,8,1,14,1,15,1,8,2,15,1,14,14,7,2,8,1,7,4,8,1,7,1,14,16,7,2,14,4,7,2,17,1,16,1,14,1,7,2,14,1,17,4,16,2,17,4,16,1,17,3,16,4,17,2,16,2,17,2,16,4,17,1,14,7,17,3,14,3,15,1,14,2,17,1,14,4,17,2,14,6,17,1,14,4,15,1,8,1,10,2,8,2,14,9,7,2,14,3,7,2,14,2,17,1,14,2,17,2,14,4,17,3,6,1,14,2,7,5,14,4,7,3,15,1,14,5,18,2,3,1,18,1,4,60,18,2,3,3,14,3,3,1,14,2,15,2,14,1,17,1,16,9,17,2,16,4,17,3,16,4,17,1,6,1,7,1,8,5,18,2,3,2,18,1,4,15,18,4,14,1,3,5,4,57,19,2,4,2,3,2,16,47,14,2,18,1,8,1,10,2,4,6,18,1,3,9,14,1,8,3,7,3,8,2,7,1,14,2,17,1,16,4,14,1,7,3,14,1,17,1,16,39,14,4,3,3,18,1,15,1,16,3,3,2,16,3,3,2,16,3,14,3,15,2,14,1,16,8,3,2,14,1,15,1,14,1,3,11,14,1,18,2,3,1,16,3,3,3,16,1,3,2,18,5,9,1,10,1,18,1,16,4,3,6,18,2,3,3,18,1,10,1,18,1,3,1,16,5,3,2,16,11,3,4,18,1,4,3,18,1,3,1,16,5,3,5,16,3,3,1,4,3,16,4,3,5,16,11,3,2,16,5,3,7,4,242,19,6,4,2,10,3,8,1,10,2,8,1,18,1,4,1,19,4,4,3,10,1,8,3,18,3,8,3,10,1,9,1,8,2,10,2,9,1,8,13,10,2,8,3,10,2,8,1,18,1,3,1,16,191,3,1,16,3,3,4,19,1,4,550,},
{4,80,18,2,4,5,19,3,4,314,10,1,18,5,8,5,7,1,18,2,8,6,18,1,14,2,18,1,8,3,10,1,8,20,10,2,8,3,18,1,8,2,10,2,8,4,14,2,8,1,10,1,8,6,14,1,7,1,10,9,8,2,10,6,8,7,10,100,8,1,10,51,8,2,10,2,8,3,10,102,8,2,10,10,8,4,10,87,8,1,18,4,8,1,18,2,8,4,10,59,8,2,18,3,8,2,10,6,8,1,18,1,14,3,18,5,15,2,8,2,18,2,8,2,10,14,8,2,10,2,8,2,10,2,8,2,10,45,8,2,10,32,8,17,10,4,8,4,10,6,8,1,10,4,8,9,18,3,4,1,19,4,4,15,19,7,4,4,3,5,18,1,4,3,19,1,4,18,19,8,4,61,19,4,4,2,18,2,3,1,14,4,15,1,8,1,14,1,15,1,8,2,15,1,14,2,3,2,14,10,7,5,14,10,17,2,14,2,17,2,14,2,17,2,14,2,17,3,14,1,7,2,6,1,17,1,14,1,7,2,14,1,6,1,17,3,16,2,17,1,16,4,17,1,14,2,17,1,16,6,17,4,16,3,17,1,14,13,15,1,14,21,15,1,8,1,10,2,8,1,15,1,14,5,17,3,14,8,16,2,17,1,14,1,17,1,14,5,17,5,6,1,14,1,7,4,14,2,17,2,14,2,7,1,14,6,3,3,18,1,4,60,18,2,14,1,17,2,14,5,15,1,8,1,15,1,14,2,16,6,17,6,16,5,17,1,16,4,17,1,7,2,8,5,18,4,4,16,18,1,3,2,14,1,3,6,18,1,4,3,19,4,4,49,19,4,18,1,3,2,16,48,14,1,15,1,8,1,10,1,4,7,18,1,3,8,14,1,15,1,8,2,7,3,14,6,16,3,17,1,14,1,7,2,14,2,16,40,14,3,3,2,16,1,3,1,18,1,15,1,16,3,3,2,16,4,3,1,16,3,14,3,15,2,14,1,16,9,3,1,14,3,3,15,16,3,3,4,14,1,18,3,3,1,16,1,3,1,18,1,9,1,3,1,16,3,3,1,16,4,3,8,18,1,3,2,16,5,3,2,16,9,3,2,18,1,3,2,16,1,3,1,4,2,18,1,3,2,16,4,3,1,4,2,18,1,3,1,16,3,3,2,18,2,3,1,16,3,3,4,16,9,3,4,16,7,3,1,18,2,3,1,16,1,3,2,4,2,19,2,4,238,19,6,4,2,10,8,4,1,19,4,4,3,9,2,8,12,9,1,10,1,9,1,8,20,18,1,14,1,3,1,16,198,3,2,4,550,},
{4,83,19,7,4,312,10,3,18,6,8,13,18,1,14,2,18,1,8,2,10,3,8,5,10,1,8,13,10,1,8,3,18,1,8,9,14,2,8,1,10,1,8,2,18,2,8,2,14,1,8,1,10,3,8,2,10,107,8,1,10,10,8,1,10,8,8,3,10,41,8,3,10,1,8,2,10,115,8,4,10,86,8,2,18,4,8,2,10,18,8,2,10,44,8,2,18,2,8,3,10,5,9,1,8,1,18,9,15,2,18,1,8,1,18,2,8,1,10,19,8,2,10,2,8,3,10,44,8,2,10,33,8,16,10,5,8,1,10,8,8,12,18,5,4,1,19,3,4,15,19,8,4,3,18,1,3,4,18,1,4,2,19,3,4,18,19,7,4,62,19,4,4,3,18,2,3,2,14,2,15,1,8,1,15,2,8,2,15,1,14,2,3,3,14,6,17,1,14,2,7,1,14,4,17,2,14,2,16,1,17,1,14,4,17,1,16,6,17,1,16,2,17,1,16,4,14,1,7,2,14,1,17,1,14,1,7,2,14,2,17,4,16,5,17,2,14,3,17,2,16,4,17,2,6,1,14,1,17,1,16,2,17,1,14,18,15,2,14,10,15,1,14,5,15,1,8,3,15,1,14,16,17,1,16,1,17,1,14,4,7,1,14,1,17,1,16,2,17,3,6,1,14,2,7,3,14,1,17,1,16,1,17,1,14,2,7,1,15,1,14,6,3,3,4,61,18,1,14,1,3,4,14,1,3,1,14,1,15,2,14,4,16,3,17,2,14,3,6,1,17,3,16,9,6,1,7,3,8,3,15,1,3,2,18,1,4,17,18,1,3,9,18,1,4,2,19,6,4,48,19,4,4,1,18,1,3,1,16,49,14,1,15,1,18,1,4,8,18,1,3,6,14,5,15,2,7,1,14,1,17,2,14,7,7,2,14,1,17,2,16,7,17,1,16,32,3,2,16,4,3,1,15,1,14,1,3,1,16,1,3,2,16,5,3,1,16,3,14,3,15,2,14,2,16,1,3,1,14,1,3,2,16,3,3,1,14,3,3,14,16,5,3,1,14,1,18,1,8,2,18,1,3,1,16,2,3,4,16,2,3,2,16,5,3,9,16,17,3,2,18,1,3,2,16,1,3,1,4,2,3,1,16,6,3,1,4,2,18,1,16,3,3,5,16,4,3,3,16,10,3,1,18,1,3,2,16,8,3,2,16,2,3,1,18,1,4,2,19,2,4,239,19,6,4,1,10,8,4,1,19,3,4,4,10,3,9,3,8,2,9,1,10,2,9,4,8,21,18,1,14,2,3,4,16,194,3,3,19,1,4,549,},
{4,82,19,8,4,311,10,3,18,8,8,26,10,1,8,15,15,1,18,1,8,5,15,1,14,2,8,3,10,2,8,1,15,1,14,1,3,1,14,1,18,1,8,3,10,2,8,4,10,105,8,4,10,7,8,2,10,8,8,3,10,41,8,2,10,112,8,2,10,4,8,6,10,20,8,1,10,64,8,7,10,18,8,3,10,44,8,10,10,4,8,5,18,6,8,2,18,1,8,2,10,2,8,3,10,13,8,3,10,2,8,2,10,16,8,1,18,1,10,29,8,1,10,32,8,16,10,5,8,1,10,8,8,12,18,2,15,1,14,1,18,2,4,16,19,9,4,3,18,1,3,5,4,2,19,4,4,19,19,6,4,62,19,5,4,3,18,1,3,3,18,3,15,2,8,2,15,1,14,2,3,2,16,1,3,2,14,12,16,2,14,2,16,2,14,3,3,1,14,1,3,1,16,8,17,1,16,4,17,1,14,2,17,2,14,5,17,5,16,2,17,1,14,2,17,3,14,3,17,7,14,2,17,5,14,15,15,3,14,7,17,1,14,2,15,1,14,6,8,3,14,2,17,1,14,3,15,1,8,2,15,2,7,1,14,3,15,1,14,7,7,2,14,1,17,1,16,2,17,2,14,4,7,3,14,2,17,2,14,2,15,3,14,5,3,3,4,61,18,2,3,6,14,7,16,3,17,1,14,1,7,2,14,2,17,1,16,10,17,1,7,5,8,1,18,1,3,3,18,1,19,3,4,14,18,1,3,7,18,2,4,3,19,5,4,49,19,4,4,1,18,1,3,1,16,50,14,1,18,1,4,10,18,7,3,2,14,1,15,1,8,1,15,1,14,1,16,1,17,1,14,5,15,3,14,1,17,1,16,9,17,1,16,32,3,1,16,4,3,1,14,2,3,1,16,1,3,1,14,1,3,1,16,4,3,1,14,1,3,1,16,2,14,12,3,1,16,1,3,1,14,1,15,2,14,1,3,2,16,2,3,9,16,6,3,1,14,1,18,1,8,2,14,1,16,4,3,3,16,2,3,2,16,4,3,3,16,2,3,1,14,2,3,1,16,17,3,6,16,1,3,1,4,2,3,1,16,7,18,1,4,1,3,1,16,3,3,2,18,1,3,2,16,4,3,3,16,10,3,2,16,11,3,4,18,1,4,1,19,3,4,3,18,1,3,3,18,1,4,231,19,6,4,1,18,1,10,7,4,1,19,2,4,5,10,14,8,19,9,1,8,2,18,4,14,1,3,3,16,191,3,5,19,1,4,549,},
{4,82,19,8,4,311,10,2,18,9,8,26,10,2,8,13,15,2,8,5,18,1,14,1,3,1,14,1,18,1,8,1,10,2,8,2,15,1,14,3,18,1,8,2,10,1,8,6,10,104,8,2,10,10,8,1,10,9,8,3,10,155,8,2,10,4,8,9,10,17,8,1,10,88,8,4,10,44,8,6,10,1,8,6,10,4,9,1,8,17,10,6,8,1,10,4,8,5,10,20,8,1,18,1,10,3,18,2,10,25,8,1,10,31,8,16,10,3,8,4,10,6,8,13,18,2,15,1,14,1,18,2,4,16,19,7,4,4,18,1,3,5,4,2,19,5,4,96,3,2,18,2,9,2,18,2,8,1,9,1,15,2,14,2,3,2,16,2,17,1,14,6,3,5,16,2,14,2,16,2,14,2,3,5,16,13,17,5,14,3,17,4,14,2,17,1,16,1,17,1,14,3,17,1,14,5,17,3,14,1,17,2,14,3,17,6,14,13,15,3,14,7,17,1,14,9,15,1,8,1,15,1,14,3,17,1,14,1,15,1,8,4,15,2,14,3,15,2,14,6,7,2,14,1,17,1,16,2,17,2,14,3,7,5,14,1,17,2,14,1,15,1,8,2,15,1,14,5,3,3,18,1,4,61,18,2,3,6,14,2,16,1,17,1,14,2,16,4,14,2,7,1,14,1,17,1,16,10,17,1,14,1,7,3,14,4,3,3,4,1,19,3,4,13,18,2,3,3,14,3,18,3,4,3,19,5,4,49,19,3,4,3,3,1,16,50,3,1,18,3,4,13,10,1,18,1,3,3,18,1,8,1,14,1,16,6,17,1,14,1,15,1,8,1,15,1,14,1,17,1,16,9,17,1,16,32,3,1,16,4,14,1,15,1,3,1,16,2,3,1,15,1,14,1,16,4,3,1,15,1,14,2,3,2,14,12,3,1,14,1,15,1,8,1,15,1,14,1,3,2,16,3,3,4,16,1,3,2,16,7,3,1,14,1,8,1,9,1,18,1,3,1,16,4,3,7,16,4,3,3,16,3,14,1,15,1,14,1,3,1,16,13,3,1,16,1,3,3,16,2,3,2,16,1,3,1,18,1,3,1,16,8,3,3,16,1,3,3,18,1,4,1,19,1,3,1,16,4,3,3,16,4,3,2,16,11,3,1,16,5,3,4,4,1,19,3,4,3,18,1,3,5,4,231,19,6,4,2,18,1,10,6,4,8,10,14,8,1,18,1,8,11,18,2,8,4,9,1,8,2,18,3,8,3,18,1,14,1,3,1,16,188,3,3,4,554,},
{4,82,19,8,4,311,10,2,18,8,8,48,18,1,14,4,8,3,18,1,14,2,8,1,10,2,8,1,14,2,18,1,8,8,10,77,8,2,10,24,8,2,10,21,8,2,10,118,8,2,10,35,8,2,10,4,8,9,10,79,8,2,10,24,8,5,10,45,8,3,10,6,8,8,9,1,10,4,9,1,8,8,18,1,8,2,10,6,8,2,10,2,8,5,10,21,18,2,10,2,8,1,18,2,4,5,10,5,8,2,10,45,8,10,10,8,8,5,10,5,8,14,18,2,15,1,18,3,4,16,19,5,4,3,18,4,3,4,18,1,4,1,19,6,4,96,18,3,9,1,10,1,9,1,18,1,15,1,18,2,15,2,14,3,3,1,16,3,17,1,14,4,16,4,3,2,16,1,3,1,14,2,3,2,14,1,3,1,16,2,3,3,16,17,17,3,14,1,17,4,14,2,17,1,16,2,17,1,14,7,17,1,16,2,17,1,14,6,17,1,14,2,17,4,14,2,17,2,14,8,15,3,14,13,15,1,8,1,15,5,14,3,17,1,14,1,15,1,8,1,10,1,8,1,15,1,14,5,15,2,14,6,7,2,14,2,17,1,16,1,17,1,14,3,7,2,8,2,7,2,14,4,8,4,15,1,14,4,3,3,4,63,18,2,3,6,16,3,14,2,16,5,17,1,14,2,17,1,16,3,17,2,16,3,17,3,14,1,7,2,14,1,17,1,14,3,3,3,4,1,19,3,4,7,19,3,4,2,18,3,3,2,14,3,18,5,4,4,18,1,4,51,19,3,4,2,18,1,3,1,16,51,3,4,18,1,4,13,18,1,3,1,18,2,15,1,14,1,16,7,14,1,15,1,8,2,15,1,14,1,17,1,14,1,17,1,16,38,3,1,14,1,16,4,14,2,16,3,14,1,18,1,15,1,3,1,16,3,3,1,14,1,15,1,14,2,3,1,14,14,18,1,8,1,15,1,3,2,16,5,3,2,16,10,3,2,14,1,8,1,9,1,18,1,14,1,16,3,3,8,16,4,3,3,16,3,3,1,18,2,3,1,16,12,3,2,16,2,3,1,16,3,3,4,18,1,3,1,16,8,3,5,18,1,3,1,18,1,4,2,3,1,16,4,3,3,16,4,3,2,16,11,3,1,16,5,3,3,4,2,19,2,4,3,18,1,3,4,18,1,4,3,18,1,4,229,19,5,4,4,10,5,4,6,18,1,10,11,9,3,8,2,18,2,8,10,18,2,8,2,10,2,8,5,9,1,10,3,9,1,18,1,3,4,16,184,3,3,4,555,},
{4,83,19,6,4,312,10,2,18,5,8,50,15,1,14,3,15,1,8,4,18,1,14,2,8,4,18,1,14,1,18,1,8,8,10,76,8,2,10,25,8,1,10,77,8,4,10,60,8,4,10,41,8,6,10,81,8,3,10,22,8,1,18,3,8,1,10,2,8,3,10,51,8,4,9,1,10,7,9,1,8,2,18,1,8,4,18,2,8,1,10,6,8,9,10,22,8,1,18,1,10,2,8,1,18,1,4,6,10,4,8,6,10,42,8,7,10,10,8,24,18,6,4,18,19,3,4,4,18,1,14,1,18,3,14,1,3,2,4,2,19,5,4,98,18,2,10,2,8,1,18,1,15,1,14,1,15,4,14,5,17,2,14,4,17,1,16,3,3,2,16,1,3,1,14,3,3,2,16,4,3,1,16,20,17,3,16,2,17,1,14,2,17,1,16,3,14,4,15,2,14,1,17,1,16,2,14,11,17,3,14,2,17,2,14,2,17,1,14,5,15,3,14,13,8,4,15,1,14,1,15,1,7,1,14,2,17,1,14,1,8,4,15,1,14,8,17,1,14,4,7,3,14,2,17,2,14,3,7,2,8,2,7,1,14,4,15,1,8,5,15,1,14,2,3,4,4,64,18,1,3,5,16,4,14,1,17,1,16,5,17,1,14,2,17,1,16,2,17,1,14,2,3,1,14,7,17,2,3,4,18,3,4,1,19,3,4,6,19,6,3,1,14,1,15,1,14,3,18,1,14,1,18,5,4,2,18,1,3,3,4,2,18,1,4,47,19,4,4,1,18,1,3,1,16,54,3,2,18,1,4,15,18,1,14,1,3,1,16,8,14,1,8,2,15,1,14,3,17,1,16,10,17,1,14,1,17,1,16,25,14,2,3,2,16,1,3,1,14,1,3,1,16,2,3,1,14,1,18,2,15,1,3,4,14,1,15,1,14,2,3,1,14,10,15,2,14,1,15,3,14,1,3,2,16,5,3,2,16,2,3,1,16,6,3,2,14,1,15,1,18,1,8,1,18,1,14,1,3,4,14,1,3,5,16,5,3,4,16,2,3,2,14,1,3,2,16,4,3,4,16,3,18,1,3,1,16,2,3,2,16,2,3,1,18,1,3,4,16,9,3,2,18,3,3,1,18,1,4,2,3,1,16,3,3,4,16,4,3,2,16,11,3,2,16,3,3,1,18,2,4,3,19,1,4,2,18,2,3,5,18,1,4,2,18,1,3,1,18,1,4,229,19,4,4,5,10,1,8,1,10,2,4,6,9,2,8,1,9,5,10,2,8,4,18,4,8,14,9,1,10,1,9,1,8,3,9,1,10,6,9,1,18,2,10,1,9,1,3,1,16,182,3,5,4,554,},
{4,83,19,5,4,312,10,3,18,4,8,9,18,2,8,3,10,4,8,13,10,1,8,12,10,2,8,3,18,1,14,5,8,3,18,1,8,3,18,1,3,3,14,1,18,1,8,1,10,1,8,9,10,82,8,2,10,16,8,2,10,76,8,7,10,59,8,4,10,42,8,4,10,82,8,3,10,21,8,1,18,1,14,2,18,1,8,1,10,2,8,3,10,1,8,4,10,54,8,6,18,3,8,5,10,4,8,12,10,22,8,1,10,5,4,6,10,4,8,6,10,42,8,6,10,11,8,23,18,7,4,11,19,6,4,7,18,4,8,2,18,1,3,1,18,1,4,1,19,3,4,101,18,2,9,2,18,2,14,4,15,4,14,6,7,2,14,6,17,1,14,1,17,1,16,2,14,2,16,17,17,3,16,12,17,3,16,3,14,4,15,2,14,2,16,2,14,27,15,1,14,14,8,2,10,1,8,1,15,1,14,2,15,2,14,3,8,3,15,1,14,8,17,3,14,1,17,1,14,2,15,2,7,1,14,3,17,2,14,2,7,3,14,5,15,2,8,4,15,1,14,2,3,3,18,1,4,64,18,1,3,5,16,2,17,3,16,5,17,1,14,1,7,1,14,2,3,6,14,5,3,1,16,2,3,4,18,1,4,13,19,4,4,1,18,1,3,1,14,5,18,1,14,4,18,5,3,7,4,46,19,4,4,1,3,2,16,54,3,2,18,2,4,14,18,1,3,1,16,9,14,1,15,2,14,2,17,1,14,1,16,4,17,3,16,2,17,1,14,1,15,2,14,1,16,24,14,6,3,1,16,4,3,1,15,2,18,1,9,1,8,1,14,1,3,2,14,3,3,2,14,10,15,3,14,1,15,1,14,2,3,3,16,3,3,7,16,5,3,1,14,1,15,3,18,1,15,2,14,1,3,2,14,3,3,1,14,1,3,1,16,7,3,1,14,3,16,3,3,11,16,1,3,2,18,1,3,1,16,2,3,4,18,2,3,4,16,9,3,1,4,2,18,1,3,3,18,2,3,7,16,4,3,3,16,11,3,3,16,2,18,1,4,8,18,1,3,4,16,2,3,4,18,1,4,231,19,4,4,4,18,3,10,3,18,2,10,2,9,1,8,11,18,5,8,15,9,3,8,3,10,4,9,2,10,1,8,1,18,2,8,1,9,1,18,3,3,1,16,179,3,7,4,552,},
{4,84,19,4,4,312,10,2,8,1,18,3,8,10,18,2,8,2,10,5,8,23,7,2,8,2,10,1,8,3,15,1,14,4,18,1,8,2,18,3,8,2,18,1,3,1,16,2,14,1,8,1,10,3,8,8,10,81,8,3,10,6,8,2,10,1,8,4,10,3,8,2,10,3,8,1,10,35,8,1,10,31,8,10,10,61,8,4,10,42,8,4,10,100,8,7,18,4,8,1,10,1,8,4,10,59,8,2,18,2,8,1,18,3,8,2,10,2,8,1,10,4,8,1,18,1,8,7,10,32,4,6,10,1,9,2,8,6,10,43,8,6,10,11,8,21,18,9,4,11,19,6,4,4,18,5,8,5,18,1,4,1,19,4,4,102,18,5,14,4,15,5,7,8,14,8,16,2,14,2,16,7,17,3,16,5,17,2,14,2,17,1,16,13,17,1,16,4,14,3,15,4,14,45,15,1,8,3,14,2,15,3,14,3,8,2,15,1,14,1,15,1,14,10,17,3,14,1,7,3,14,2,17,4,14,1,7,1,8,1,7,1,14,1,17,2,14,5,15,1,8,2,15,1,14,2,3,3,18,1,4,64,18,1,3,6,16,1,14,2,16,6,17,1,14,1,7,1,15,1,14,1,3,11,16,3,3,1,18,2,3,1,18,1,4,3,19,1,3,1,19,1,4,8,19,2,4,2,18,1,3,2,14,1,3,2,14,1,3,3,14,3,18,3,3,3,16,4,3,1,4,46,19,4,4,1,3,2,16,54,3,3,18,2,4,13,18,1,3,1,16,5,17,1,14,1,16,1,14,5,17,2,14,1,16,4,17,1,16,3,14,1,15,1,8,2,15,1,14,1,16,22,17,2,14,3,15,3,14,1,16,3,3,1,14,1,15,1,14,1,18,1,9,1,10,1,18,1,14,2,15,2,14,4,15,2,14,3,15,2,14,2,15,1,18,1,15,2,14,4,3,6,14,1,3,6,16,2,3,3,15,1,18,1,14,2,3,2,14,9,3,1,16,7,3,1,14,3,16,4,14,4,3,5,16,1,3,2,18,2,3,1,16,2,3,1,18,1,3,2,18,3,3,2,16,10,3,1,4,2,3,2,16,1,3,9,16,5,3,2,16,12,3,1,18,2,3,2,4,8,18,1,3,5,16,5,3,1,18,1,4,1,18,3,4,227,19,5,4,3,18,3,10,4,8,1,10,2,9,1,8,11,18,5,8,17,9,2,8,1,9,1,10,3,8,4,10,1,9,1,8,2,10,4,18,1,3,1,16,178,3,3,16,3,3,2,4,551,},
{4,81,3,2,4,316,10,2,18,1,8,1,18,3,8,24,10,2,8,15,18,1,14,1,7,1,8,13,18,7,14,2,18,1,8,1,10,3,8,8,10,60,8,1,10,21,8,2,10,6,8,3,10,1,8,1,18,2,8,1,10,3,8,2,10,2,8,2,10,34,8,2,10,24,8,14,10,65,8,3,10,42,8,5,10,25,8,2,10,3,8,2,10,65,8,10,18,2,8,6,10,54,8,2,9,2,10,1,9,2,8,4,18,3,8,1,10,10,8,6,10,33,4,6,10,1,8,1,9,1,8,6,10,43,8,6,10,11,8,20,18,10,4,3,19,5,4,3,19,6,4,1,18,7,8,5,10,1,4,2,19,4,4,104,18,4,14,8,7,9,15,2,14,5,16,2,14,2,16,13,17,1,14,5,17,1,16,16,17,1,14,4,15,5,14,2,15,3,14,39,15,2,8,2,14,2,15,2,14,4,15,2,14,2,8,2,14,9,17,1,16,1,17,1,14,5,17,2,16,1,17,1,14,2,7,1,8,1,7,1,14,1,17,2,14,6,15,1,8,1,15,1,14,2,3,3,18,1,4,65,3,6,14,3,16,7,14,4,3,1,16,1,3,6,16,5,3,1,18,3,3,1,18,1,4,3,18,1,3,2,4,12,3,2,14,2,3,7,14,1,18,4,14,1,3,7,4,46,19,4,4,1,18,1,3,1,16,53,3,5,18,1,4,13,18,1,3,1,16,4,17,1,14,4,15,1,14,2,17,1,14,3,17,1,16,7,17,1,15,1,8,1,15,1,14,2,16,23,17,1,14,3,8,2,14,2,3,2,14,2,15,3,18,5,8,1,9,1,8,1,18,1,14,2,15,4,14,2,15,2,14,2,15,2,18,2,15,1,14,1,15,3,14,3,18,4,14,2,18,1,14,1,3,5,14,1,8,1,18,1,14,1,3,1,16,3,3,2,14,6,3,2,16,5,3,2,14,3,16,4,14,4,3,4,16,3,3,1,18,3,3,1,16,1,3,5,18,3,3,1,16,10,3,1,4,2,3,1,16,3,3,1,18,1,3,3,16,3,3,2,16,2,3,1,16,14,3,1,18,1,4,7,3,11,16,5,3,1,18,4,4,227,19,6,4,3,18,2,10,4,9,1,10,4,9,1,8,3,9,4,8,3,18,3,8,14,9,1,8,3,10,6,8,1,18,2,8,1,9,3,8,1,9,1,10,3,9,1,18,4,3,2,16,174,3,3,16,3,3,2,4,551,},
{4,80,18,1,3,3,4,314,10,2,18,1,8,7,10,1,8,7,10,2,8,11,10,3,8,15,18,1,8,9,10,3,8,2,18,2,8,3,18,1,14,2,8,1,10,4,8,10,10,59,8,2,10,26,8,8,18,2,8,2,10,2,8,2,10,2,8,2,10,33,8,4,10,23,8,13,10,67,8,1,10,43,8,5,10,24,8,9,10,12,8,2,10,5,8,1,10,43,8,18,10,54,8,5,9,1,10,2,9,2,8,2,18,2,8,1,10,10,8,7,10,9,8,2,10,23,4,5,18,2,9,1,10,1,8,3,10,45,8,7,10,10,8,13,18,2,8,5,18,10,4,2,19,7,4,2,19,5,4,2,18,2,8,2,18,3,8,2,18,2,8,1,10,1,4,1,19,5,4,97,19,3,4,5,18,5,15,1,14,7,7,7,14,7,17,1,14,3,17,1,16,2,17,1,16,8,17,1,14,3,7,2,6,1,17,1,16,15,17,1,14,3,15,1,8,5,15,5,18,1,15,2,14,3,15,2,14,31,15,1,14,1,15,1,8,2,15,4,14,2,15,3,14,3,8,2,15,2,14,8,17,2,14,4,17,1,16,3,17,1,14,1,7,1,8,3,7,1,14,4,17,2,14,3,15,3,14,1,3,4,4,65,3,6,14,3,16,8,14,4,3,6,16,4,3,2,18,1,4,3,18,2,4,4,19,1,4,7,3,2,18,1,4,1,18,2,3,3,14,1,3,1,16,2,3,2,14,2,18,2,8,2,18,1,14,1,3,7,4,4,19,5,4,37,19,4,4,1,18,1,3,1,16,52,3,6,18,1,4,13,18,1,3,2,16,3,14,2,15,1,14,2,15,1,14,1,17,1,16,1,17,1,14,2,17,1,16,2,17,2,16,3,17,1,15,1,8,1,15,1,14,2,16,23,14,3,15,1,8,2,14,3,15,1,18,2,14,1,15,1,18,2,15,2,18,1,8,1,10,4,8,1,18,2,8,2,15,3,18,2,15,1,14,1,15,2,18,2,15,2,18,9,14,2,18,1,15,1,14,1,3,4,14,1,15,1,8,1,18,1,14,1,16,5,3,2,14,6,3,2,16,3,3,2,14,5,16,2,3,1,14,5,3,3,16,3,18,1,4,3,18,1,3,4,18,1,3,1,18,3,3,3,16,8,3,1,4,2,3,1,16,3,3,2,18,1,3,2,16,5,3,2,16,15,3,1,18,1,4,4,18,1,3,3,16,3,3,9,16,4,3,3,18,1,4,227,19,6,4,3,18,2,10,4,8,3,10,2,9,1,8,3,9,3,8,3,18,5,8,3,18,3,8,6,9,2,8,3,10,6,18,3,8,1,9,1,10,1,9,1,8,2,9,3,18,2,10,3,9,1,18,1,3,1,16,173,3,4,16,2,3,3,19,1,4,549,},
{4,80,18,1,3,3,4,314,10,1,8,17,10,1,8,8,10,4,8,17,18,1,8,5,18,2,8,3,10,3,8,1,18,1,14,1,18,1,10,3,18,1,3,1,14,1,8,1,10,3,8,1,18,1,8,7,10,88,8,2,18,2,8,4,18,3,8,10,10,17,8,2,10,14,8,1,18,1,8,2,10,23,8,11,10,18,8,1,10,94,8,6,10,22,8,12,10,10,8,2,10,5,8,1,10,43,8,4,10,1,8,4,10,58,8,3,10,10,8,7,10,6,8,2,10,2,8,7,10,8,8,2,10,28,9,1,18,1,8,2,10,2,8,1,10,46,8,8,10,9,8,13,18,2,8,7,18,8,4,3,19,12,4,2,18,2,8,1,10,2,8,1,18,1,14,1,18,1,8,1,18,2,8,1,10,1,4,1,19,4,4,97,19,6,4,3,18,2,8,2,18,2,14,8,7,6,14,5,7,1,14,6,17,2,14,1,17,1,16,7,17,1,6,2,7,2,6,1,17,1,16,15,17,1,14,1,17,1,14,1,7,1,8,1,10,3,8,2,15,4,8,3,15,1,14,1,7,1,14,1,15,2,14,30,15,4,8,6,15,2,8,2,14,2,17,1,14,2,8,4,15,3,14,5,17,1,14,4,16,3,17,2,14,1,7,1,8,3,15,1,7,1,14,3,17,1,14,5,15,2,14,1,3,4,4,66,3,5,14,2,17,1,16,2,17,1,6,1,16,5,14,2,18,1,4,3,18,1,3,7,4,5,18,2,4,12,3,11,16,3,3,1,14,1,18,1,8,4,15,1,14,2,18,3,3,3,4,4,19,6,4,36,19,4,4,1,18,1,3,1,16,51,14,2,16,2,3,1,14,2,18,1,4,12,18,2,3,4,16,1,3,1,14,1,15,1,14,4,16,8,14,2,16,3,14,1,15,1,8,1,14,2,17,1,16,21,17,1,14,4,8,3,15,2,8,3,15,1,14,1,15,1,9,2,15,1,14,1,18,1,9,1,10,5,8,2,18,8,15,3,18,2,15,3,18,7,3,7,16,1,3,1,14,2,18,1,9,1,18,1,14,1,16,6,3,1,14,7,3,2,16,2,3,1,15,1,8,1,15,1,14,8,3,1,14,2,3,2,16,3,3,1,18,1,4,4,18,1,3,2,18,9,3,1,16,7,3,1,4,2,3,1,16,4,3,3,16,23,3,1,4,3,18,2,3,4,16,3,19,1,4,3,18,1,3,3,8,1,15,1,16,4,3,1,18,2,4,228,19,6,4,3,18,1,10,4,8,4,9,1,8,8,18,13,8,5,9,3,8,2,9,1,10,6,18,3,8,2,10,1,9,1,8,1,18,2,8,4,9,1,10,2,9,1,18,1,3,1,16,173,3,4,16,1,3,10,4,544,},
{4,81,3,3,4,313,18,4,8,23,10,5,8,19,10,2,8,1,14,3,8,1,18,2,14,4,18,2,8,1,10,3,8,1,18,2,10,4,8,1,18,1,8,6,10,23,8,3,10,63,8,1,18,1,14,1,18,1,8,16,10,11,8,3,10,4,8,4,10,11,8,2,18,1,8,2,10,4,8,2,10,3,8,2,10,12,8,2,10,3,8,5,10,10,8,3,10,59,8,1,10,41,8,6,10,21,8,3,10,1,8,5,10,2,8,3,10,53,8,2,10,3,8,1,10,2,8,2,10,64,8,4,10,3,8,1,10,5,8,4,10,9,8,2,10,2,8,5,10,6,8,1,10,2,8,3,10,19,8,1,10,4,8,2,18,1,8,4,10,49,8,13,10,1,8,3,10,2,8,12,18,3,8,8,18,2,15,2,18,3,4,2,19,11,4,2,18,3,8,1,10,2,8,1,15,1,14,1,18,5,10,1,4,102,19,6,4,4,18,1,10,3,8,1,18,6,15,1,7,7,14,4,7,2,14,3,7,2,14,1,17,1,14,2,17,1,16,7,17,6,16,2,17,1,16,8,17,3,16,2,14,4,15,1,8,1,10,3,8,2,15,5,8,2,15,1,14,1,7,1,14,1,15,1,14,31,15,4,8,2,10,2,8,1,15,3,8,1,15,1,14,5,15,5,8,1,15,1,14,10,17,1,16,1,17,2,14,2,7,3,8,3,15,1,14,9,15,2,3,4,4,66,18,1,3,4,17,1,14,1,6,1,16,2,6,1,7,1,17,1,16,4,3,1,14,1,18,1,4,5,18,1,3,3,18,1,4,20,3,10,16,3,3,1,14,1,15,1,8,5,15,1,14,2,8,2,10,1,18,1,3,2,4,4,19,6,4,37,19,3,4,2,3,1,16,51,14,2,16,2,14,2,15,1,18,2,4,11,18,1,3,6,14,2,15,3,14,2,16,8,14,5,15,1,8,1,15,1,14,2,16,19,17,1,16,1,17,1,14,3,15,2,8,4,15,1,8,4,18,2,9,1,8,1,15,2,18,1,9,1,10,4,8,4,18,1,15,1,18,6,15,8,14,2,18,3,14,1,3,5,16,3,3,1,14,1,15,1,18,1,8,1,15,1,3,1,16,6,3,5,14,2,3,4,16,1,3,1,18,1,9,1,15,2,14,5,3,3,15,1,18,1,3,2,16,2,3,2,4,5,18,1,3,2,18,4,3,2,18,3,3,1,16,7,3,1,4,2,3,1,16,4,3,1,18,2,16,7,3,1,16,8,3,2,16,4,3,1,18,1,4,2,3,4,16,2,3,2,16,1,3,1,4,1,19,2,4,1,18,1,3,1,16,2,14,2,16,4,3,1,18,5,4,228,19,4,4,2,18,1,10,4,8,10,18,16,8,2,9,6,8,2,9,1,10,6,18,3,8,2,10,1,8,2,18,4,8,5,9,2,18,1,3,1,16,2,3,2,16,164,3,1,16,3,3,8,16,6,3,1,19,1,4,543,},
{4,81,18,1,3,2,4,309,10,4,18,5,8,22,10,5,8,15,10,2,8,2,10,1,8,1,7,1,14,2,18,2,14,1,3,1,16,4,14,1,8,1,10,11,8,7,10,23,8,4,10,57,8,2,10,4,8,1,18,2,8,4,18,1,8,1,10,3,8,4,18,3,8,1,10,10,8,1,18,3,8,1,10,3,8,4,10,6,8,3,10,3,8,3,10,4,8,4,10,2,8,6,10,7,8,1,10,18,8,6,10,12,8,2,10,44,8,1,10,42,8,4,10,22,8,2,10,4,8,2,10,59,8,2,10,2,8,2,10,68,8,3,10,3,8,4,10,3,8,3,10,10,18,1,8,1,10,2,8,5,10,1,8,1,10,4,8,2,10,1,8,3,10,19,8,2,10,2,8,1,18,3,8,1,9,1,10,20,8,2,10,17,8,5,10,7,8,13,10,7,8,11,18,3,8,8,18,2,15,2,18,3,4,2,19,7,4,5,10,4,8,1,18,3,15,1,18,1,8,1,18,1,14,1,3,1,18,3,4,101,19,8,4,8,10,5,8,2,7,6,14,3,7,2,14,4,7,2,14,4,17,1,16,3,17,2,16,2,17,2,16,3,17,5,16,2,17,5,6,1,14,1,17,1,16,2,14,1,7,3,8,2,10,3,8,2,15,1,8,1,15,1,14,4,15,1,14,29,15,1,14,5,15,2,8,4,10,2,8,1,15,1,14,1,15,2,14,4,15,3,14,3,15,1,8,2,14,6,15,2,14,3,17,1,14,7,7,1,8,3,14,3,15,3,14,3,15,2,3,4,4,66,18,1,3,3,16,1,17,1,14,2,6,1,17,6,16,3,3,1,18,2,4,29,3,11,16,2,3,1,14,1,15,1,8,5,14,3,8,3,18,1,3,2,4,6,19,4,4,42,3,1,16,55,14,1,15,1,8,2,9,1,18,2,4,9,18,1,3,2,14,5,15,4,14,3,17,1,16,6,14,3,15,1,8,3,15,1,14,2,16,19,17,1,16,1,17,1,14,1,15,7,8,2,14,1,15,1,9,1,10,3,8,1,15,2,18,2,8,2,9,2,8,1,18,1,8,1,9,1,8,1,18,1,15,1,18,2,15,2,18,1,8,1,15,2,14,2,15,2,14,5,18,2,14,1,3,5,16,3,3,1,14,1,15,3,14,1,3,1,16,11,3,2,16,2,3,2,16,1,3,1,15,1,8,1,15,1,14,1,15,1,14,2,3,1,16,2,3,1,14,1,9,1,18,1,3,5,4,5,18,3,4,1,18,1,4,2,18,2,3,3,18,1,3,1,16,5,3,2,18,1,4,2,3,1,16,4,3,1,4,2,16,6,3,3,16,6,3,3,16,3,3,1,18,1,4,1,18,1,3,2,16,4,3,3,16,1,3,1,19,3,4,1,3,1,16,9,3,1,18,5,4,5,19,3,4,220,19,4,4,5,10,2,8,4,18,2,8,1,9,1,8,2,18,5,14,1,18,9,8,2,9,1,10,4,9,2,8,1,9,2,10,2,8,1,9,1,10,2,18,4,8,4,18,2,14,1,18,1,8,2,18,2,9,1,10,2,18,1,14,1,3,3,18,1,3,1,16,159,3,1,16,2,3,13,16,7,3,1,4,543,},
{4,82,3,2,19,1,4,307,10,4,18,5,8,19,10,2,8,7,10,3,8,19,14,4,3,1,16,5,3,1,8,1,10,9,8,3,10,1,8,2,18,1,8,2,10,22,8,4,10,45,8,2,10,10,8,3,10,4,8,1,14,2,8,6,10,3,8,2,18,4,8,1,10,10,8,2,18,4,8,1,10,1,8,2,18,2,8,2,10,4,8,1,18,3,8,11,18,1,8,2,18,4,8,5,10,4,8,1,10,2,8,1,10,7,8,4,10,5,8,2,18,1,8,6,10,10,8,2,10,7,8,1,10,105,8,1,10,5,8,2,10,59,8,2,10,2,8,1,10,69,8,11,10,3,8,2,10,10,18,1,8,1,10,2,8,4,10,6,8,3,10,1,8,3,10,19,8,4,18,4,8,1,10,19,8,4,10,16,8,3,10,19,8,1,10,1,8,2,10,1,8,3,10,1,8,13,18,2,8,9,18,5,15,1,18,2,4,1,19,6,4,6,10,4,18,1,14,1,18,2,8,3,18,2,3,1,18,3,4,101,19,9,4,12,18,1,8,1,18,3,8,1,7,1,14,16,17,2,16,2,17,1,14,1,17,3,16,6,17,1,6,1,17,1,16,2,17,1,6,1,17,2,6,1,14,2,17,1,16,1,17,1,14,1,7,3,8,2,10,2,8,2,15,4,14,41,15,1,8,4,10,1,8,2,15,1,14,5,15,4,14,5,15,2,14,2,15,1,8,1,14,2,8,3,15,1,14,9,7,1,8,3,15,1,14,2,15,3,14,3,8,1,18,1,3,4,4,67,18,1,3,2,16,1,17,1,14,1,7,2,6,1,17,2,6,2,17,1,16,4,3,1,18,1,4,29,3,2,18,6,14,1,3,4,14,1,15,1,8,6,14,3,8,1,10,1,8,1,18,1,3,2,18,1,4,1,18,2,4,3,19,2,4,43,3,1,16,54,14,2,8,4,18,2,4,10,18,3,14,2,15,4,8,1,15,2,14,4,16,4,14,2,15,3,8,2,15,3,14,2,17,4,16,6,17,1,14,1,16,6,14,6,15,7,14,2,10,4,18,1,14,1,15,1,18,1,8,5,18,3,8,2,18,2,8,2,14,2,18,1,8,1,18,1,15,1,14,3,15,2,14,2,3,1,14,4,3,5,16,3,14,1,18,2,15,1,14,1,3,2,16,11,3,1,14,1,16,2,3,2,16,1,3,1,15,2,14,4,3,1,16,4,3,6,18,1,4,6,18,1,3,1,18,1,4,5,18,1,3,2,18,2,3,1,16,4,3,3,18,1,4,2,18,1,3,1,16,3,3,1,4,2,3,1,16,5,3,1,18,2,3,1,16,5,3,3,16,2,3,1,18,3,3,1,16,10,3,1,19,2,4,2,3,1,16,7,3,2,18,7,4,3,19,6,4,218,19,4,4,6,18,1,8,6,18,3,8,1,18,3,14,2,18,7,8,1,18,2,8,4,9,1,10,4,9,3,10,1,9,1,18,1,8,1,10,1,9,1,18,1,14,1,18,4,8,3,18,3,8,2,18,2,8,1,10,2,9,1,8,1,18,3,10,1,18,1,3,1,16,162,3,5,18,1,3,2,16,1,3,3,16,7,3,2,4,542,},
{4,82,3,3,4,303,10,1,9,3,8,1,10,1,8,1,18,2,8,22,10,4,8,6,10,1,8,1,10,2,8,7,10,2,8,1,18,1,14,3,18,1,8,1,10,2,8,1,18,1,3,1,16,3,3,1,14,1,18,5,8,1,10,7,8,9,10,22,8,2,10,47,8,2,10,8,8,4,10,5,8,1,14,3,8,1,10,3,8,1,10,1,8,2,18,3,15,2,8,1,10,5,8,8,18,4,8,3,18,4,8,1,10,4,18,1,3,3,18,1,8,1,18,2,8,1,18,5,8,3,18,1,3,2,18,6,8,1,10,3,8,2,10,2,8,2,10,2,8,2,10,2,8,1,18,2,8,1,10,4,8,2,18,3,8,1,18,1,8,3,10,17,8,1,10,35,8,3,10,74,8,4,10,24,8,2,10,33,8,1,18,1,8,1,10,17,8,2,10,50,8,12,10,2,8,3,10,9,8,3,10,1,8,5,10,5,8,3,10,2,8,2,10,20,8,5,18,2,8,7,10,5,8,4,10,5,8,3,10,1,8,1,10,14,9,3,10,7,9,3,10,13,8,19,18,2,8,9,18,8,4,1,19,7,4,5,10,3,8,1,18,2,8,2,10,2,18,1,4,1,18,2,4,28,19,5,4,71,19,12,4,13,18,3,14,12,3,11,16,9,17,2,16,3,17,1,14,2,6,1,17,3,16,1,17,2,6,1,17,1,14,1,7,1,8,4,7,1,14,32,17,2,14,8,15,2,14,1,15,1,8,8,14,4,15,2,14,2,15,1,14,3,15,2,14,4,8,2,14,2,15,1,8,1,10,1,8,1,14,1,17,1,16,1,17,1,14,3,15,2,14,1,15,1,8,3,15,1,14,6,15,1,8,1,18,1,3,2,18,1,4,69,3,1,16,2,3,1,7,2,6,1,17,1,7,2,6,1,17,1,16,5,3,1,18,1,4,26,19,1,4,3,18,8,15,3,18,2,8,4,15,1,8,2,15,1,14,2,8,1,10,2,8,1,14,1,3,5,18,1,4,47,3,1,16,3,3,2,16,48,17,1,14,1,7,1,8,3,18,4,4,9,18,3,14,3,15,10,14,5,15,8,8,1,15,2,14,5,17,1,16,3,17,1,14,1,15,1,14,1,16,4,17,1,14,1,15,2,14,4,15,3,14,3,15,1,8,1,10,3,8,1,15,1,14,1,15,1,18,2,8,4,18,6,8,1,10,1,9,1,18,1,14,1,18,1,8,1,18,3,14,3,8,2,14,1,3,1,14,3,3,5,16,3,3,1,15,1,8,2,15,1,14,1,3,1,16,1,3,1,14,3,3,1,16,6,14,2,3,6,14,2,3,4,16,9,3,2,4,7,18,1,3,2,4,1,19,2,4,1,18,1,3,2,18,3,3,9,18,1,4,2,3,1,16,2,3,1,4,3,3,2,16,5,3,3,16,5,3,3,16,1,3,1,4,2,3,3,16,10,3,1,19,3,4,1,3,1,16,6,3,1,15,1,8,1,18,9,4,2,19,5,4,219,19,4,4,5,18,1,8,6,18,1,14,2,18,3,14,1,3,1,14,1,8,2,18,1,14,1,18,1,8,4,18,6,9,1,10,5,9,1,10,2,9,3,18,2,3,1,18,5,8,1,18,3,8,2,9,1,8,7,18,5,3,1,16,166,3,4,16,12,3,2,4,541,},
{4,82,3,3,4,303,8,3,10,3,18,2,8,23,10,5,8,4,10,5,8,10,14,3,18,1,8,2,10,3,18,1,3,1,16,2,3,1,18,1,10,3,8,1,18,2,8,1,10,7,8,4,10,1,8,10,10,65,8,2,10,3,8,8,10,6,8,1,14,3,8,1,10,2,8,3,18,1,15,2,8,2,18,1,8,2,10,4,8,2,18,5,8,2,18,1,14,1,3,1,14,1,18,1,8,1,18,4,8,3,10,2,8,1,3,1,16,1,3,2,18,1,8,1,18,4,3,3,18,4,3,5,18,2,14,1,18,2,8,3,18,1,8,1,10,2,8,6,10,2,8,1,18,2,8,1,10,3,8,2,18,3,8,6,10,16,8,2,10,35,8,3,10,32,8,2,10,40,8,4,10,23,8,3,10,33,8,1,18,2,10,4,8,2,10,61,8,6,18,2,8,6,10,2,8,3,10,7,8,3,10,1,8,6,10,6,8,2,10,16,8,2,10,5,8,16,10,4,8,5,10,5,8,2,10,17,9,2,10,8,9,2,10,14,8,19,18,1,8,16,18,2,4,13,10,3,8,3,10,3,18,1,4,32,19,6,4,72,19,10,4,14,18,13,3,17,16,9,17,5,16,2,17,5,6,1,7,2,8,2,7,2,14,5,15,1,7,1,14,16,17,1,14,8,17,2,14,1,15,1,14,6,15,2,14,2,15,1,8,3,15,2,8,2,15,1,14,3,15,2,14,2,15,2,14,2,15,2,14,3,15,1,10,1,8,1,14,2,8,1,10,2,8,1,15,1,14,6,15,3,14,1,8,1,10,2,8,1,14,6,15,1,8,1,18,1,3,1,18,1,4,70,18,1,16,2,3,1,7,2,17,2,7,2,6,1,17,1,16,3,3,1,16,1,3,1,18,1,4,26,19,3,4,4,18,6,8,7,15,1,8,4,15,2,8,2,10,1,8,1,15,1,3,6,18,1,4,46,18,1,3,1,16,2,3,3,16,46,17,1,14,1,7,3,15,2,14,3,18,2,4,8,18,1,10,1,9,1,15,1,14,1,15,8,8,3,15,1,14,3,15,2,8,1,15,2,14,2,15,2,8,3,15,3,14,8,15,2,14,5,15,1,8,2,14,1,3,2,14,1,15,1,8,1,15,1,14,3,18,1,8,3,18,5,8,3,18,2,8,3,18,4,8,1,10,2,18,1,15,1,18,5,15,1,14,2,9,2,14,1,3,1,14,3,3,5,16,3,3,1,15,1,8,1,15,1,14,1,3,1,16,2,3,1,14,1,15,2,14,1,16,6,14,3,3,1,14,2,3,1,14,3,3,4,16,2,3,2,16,5,3,1,18,1,4,7,18,1,3,2,19,3,4,2,3,2,18,4,3,9,18,1,4,1,18,1,16,2,3,1,4,3,18,1,3,2,16,4,3,3,16,5,3,2,16,2,3,1,4,2,3,1,16,11,3,1,18,1,19,3,4,1,3,2,16,2,3,1,14,2,18,1,9,3,18,8,4,3,19,4,4,221,19,3,4,3,18,2,8,6,18,3,8,2,18,1,3,3,18,2,3,2,18,2,8,3,18,3,15,1,18,1,8,1,9,1,10,9,9,1,18,3,14,1,18,5,8,11,18,9,3,2,16,165,3,2,16,15,3,1,4,540,},
{4,82,3,4,4,302,10,6,8,26,10,5,8,2,10,5,8,4,10,1,8,4,18,3,14,1,18,1,8,1,10,1,8,3,18,1,14,1,3,3,14,1,18,1,8,1,10,1,8,1,10,3,8,1,10,7,8,4,10,2,8,9,10,9,8,1,10,35,8,2,10,22,8,7,10,7,8,2,18,2,8,4,15,2,14,3,18,1,8,1,10,5,8,2,18,2,8,1,18,2,3,2,18,1,10,2,18,1,3,3,18,3,14,1,18,1,8,1,10,5,18,1,16,3,3,1,18,4,14,1,3,9,16,3,3,4,14,1,8,2,18,2,8,1,10,5,8,6,18,2,8,2,10,2,8,1,18,5,8,1,10,2,8,3,10,6,8,3,10,7,8,1,18,1,8,1,10,35,8,1,10,54,8,1,10,10,8,2,10,10,8,1,10,58,8,5,10,66,8,2,18,2,8,9,10,7,8,1,10,6,8,10,10,3,8,1,10,2,8,1,10,24,8,1,18,2,8,2,18,4,8,5,18,1,8,10,10,50,8,36,18,6,10,3,4,6,10,8,18,1,4,1,18,1,4,3,19,4,4,25,19,5,4,76,19,6,4,16,18,14,3,1,18,12,3,1,16,15,17,6,6,1,14,1,7,4,14,3,7,2,15,2,14,2,15,2,14,3,15,1,14,18,17,1,14,2,15,2,14,5,15,2,14,3,15,3,14,2,8,2,15,1,14,3,15,8,14,4,15,2,8,2,15,2,8,1,10,2,8,1,15,1,14,1,15,2,14,4,15,1,8,1,15,1,8,1,10,2,8,1,15,1,14,5,15,2,18,1,3,1,18,1,4,70,3,1,16,3,14,1,7,1,6,1,17,1,7,2,6,1,17,2,16,2,3,3,4,27,19,4,4,3,10,1,18,6,8,5,15,2,8,5,15,3,8,3,14,1,3,7,18,1,4,45,18,1,3,1,16,1,3,4,16,43,17,1,14,1,7,1,8,2,7,1,14,5,18,3,4,8,18,1,9,2,18,3,8,3,15,4,8,3,15,2,14,2,15,18,14,5,15,4,14,2,15,1,8,3,15,1,14,3,15,1,8,1,15,1,14,1,15,2,18,2,15,3,18,2,8,1,9,2,8,1,18,1,15,1,18,1,8,3,18,5,9,1,8,1,18,1,15,1,18,3,8,1,18,2,14,1,15,1,9,2,18,1,14,1,18,3,14,1,3,7,14,1,15,2,14,1,3,1,16,4,14,4,16,6,14,9,3,15,4,2,19,2,4,2,19,2,4,1,18,2,4,9,10,2,18,1,3,2,16,1,3,3,18,4,3,1,16,2,3,1,18,1,4,2,18,1,3,2,16,5,3,2,16,4,3,2,16,3,3,1,4,2,3,1,16,10,3,1,19,1,4,1,19,1,4,5,3,1,14,1,15,1,8,1,9,4,8,1,18,2,14,1,18,5,4,4,19,3,4,222,19,3,4,2,18,3,8,1,18,1,14,2,18,1,8,1,10,3,8,1,18,1,3,7,14,1,18,8,8,1,9,1,10,7,9,1,10,3,18,10,8,9,18,11,3,1,16,183,3,1,18,1,4,538,},
{4,83,3,3,4,301,10,1,18,2,10,2,8,1,18,1,8,27,10,11,8,1,18,1,8,6,18,3,8,3,10,3,8,1,3,3,14,1,18,1,8,2,10,8,8,1,10,3,8,8,10,1,8,9,10,7,8,2,10,36,8,3,10,12,8,1,10,8,8,2,10,4,8,1,10,6,8,1,18,1,14,3,18,1,8,2,18,1,15,1,14,4,18,1,8,1,10,5,8,1,18,3,8,1,18,2,14,1,18,2,8,1,18,1,3,4,18,5,8,2,18,4,3,1,16,3,3,6,16,1,3,2,16,13,3,2,18,1,3,1,18,1,10,3,8,1,10,2,8,2,10,2,8,2,18,2,8,2,10,2,8,1,18,1,8,2,18,1,8,1,10,3,8,3,10,5,8,4,10,5,8,4,10,2,8,2,10,98,8,2,10,69,8,3,10,14,8,3,10,50,8,3,18,1,8,2,10,6,8,2,10,7,8,1,10,7,8,9,10,3,8,1,10,27,8,1,18,2,8,1,18,5,8,5,18,1,8,11,10,13,8,1,10,35,8,36,18,6,8,1,10,2,4,6,18,1,10,6,18,2,4,3,19,6,4,17,18,3,4,6,19,4,4,76,19,5,4,44,18,1,3,3,16,5,17,1,16,7,17,5,6,1,14,7,7,2,15,2,7,1,14,2,15,2,14,3,15,2,14,37,15,1,8,2,15,1,14,2,15,1,8,4,15,1,8,1,15,1,14,3,15,1,8,2,15,2,8,2,10,1,8,7,14,4,15,1,8,3,10,2,8,1,15,1,14,5,15,2,18,2,4,71,18,1,3,1,16,2,14,2,17,4,6,1,17,2,3,4,18,1,4,28,19,4,4,2,10,1,9,1,18,4,15,2,18,1,8,2,15,1,14,2,8,6,15,1,14,1,15,1,18,1,8,1,18,1,3,7,18,1,4,46,18,1,3,7,16,36,17,5,14,1,7,1,8,3,7,1,14,4,18,3,4,10,18,1,9,1,8,2,18,1,8,4,15,2,8,3,15,3,14,1,15,12,14,3,15,11,8,2,15,2,8,4,15,2,14,2,8,1,10,1,8,1,15,1,8,1,18,1,15,3,14,1,15,1,18,1,8,2,9,2,8,1,18,1,14,2,8,1,9,1,18,7,8,1,18,5,8,1,18,2,15,2,18,1,8,1,18,5,14,1,3,4,14,4,15,1,14,1,3,1,16,4,3,3,14,1,16,6,3,1,14,2,3,2,14,1,15,3,14,1,3,14,4,2,19,3,4,2,19,2,4,12,10,1,9,1,18,1,3,2,16,1,3,2,18,1,10,1,9,1,18,2,3,2,16,2,3,1,4,2,3,5,16,3,3,2,16,4,3,2,16,4,3,1,18,1,3,1,16,9,3,1,18,1,4,8,18,1,15,1,8,1,9,1,10,1,9,1,18,2,8,1,18,7,4,6,19,1,4,223,19,4,4,1,18,8,10,3,8,1,14,1,3,8,14,2,18,6,8,1,10,10,9,1,10,2,18,10,8,5,18,1,8,1,18,6,8,2,18,6,3,2,16,182,3,1,18,1,4,537,},
{4,83,18,1,3,2,4,301,18,7,8,28,10,4,8,3,10,3,8,11,10,6,18,1,3,1,16,1,3,2,18,1,10,10,8,1,10,3,8,5,18,1,8,12,10,7,8,1,10,38,8,5,10,29,8,2,18,1,14,1,3,1,16,1,3,2,14,1,18,1,8,3,15,1,14,1,15,1,18,2,8,1,10,8,8,1,18,3,10,1,8,1,18,1,3,4,18,2,10,1,9,1,8,2,18,2,3,5,16,2,3,3,16,1,3,1,16,19,3,3,18,1,10,2,8,1,18,2,8,3,10,2,8,1,18,4,8,2,10,1,8,2,10,2,8,9,10,3,8,3,10,6,8,4,10,3,8,3,10,69,8,1,10,1,8,1,10,7,8,2,10,16,8,2,10,64,8,2,10,2,8,4,10,13,8,5,10,49,8,5,10,8,8,5,10,3,8,1,10,7,8,6,10,2,8,1,10,2,8,1,10,28,8,6,18,2,8,11,10,1,8,6,10,16,8,1,10,1,8,3,9,1,10,23,8,40,18,5,14,1,18,1,10,2,4,5,18,2,8,1,10,4,8,1,18,2,4,2,19,6,4,18,18,6,4,108,19,3,4,23,3,4,16,2,3,2,16,7,17,4,14,2,6,5,14,1,7,6,14,2,15,2,14,4,15,1,14,7,15,2,14,28,15,1,8,2,15,1,14,2,8,2,10,2,8,1,15,1,8,2,15,2,8,4,15,2,8,5,15,1,8,3,15,1,14,4,15,1,8,3,10,2,8,2,14,6,18,3,4,71,18,1,3,7,16,2,3,5,18,2,4,1,19,3,4,24,18,1,4,2,19,2,4,2,10,1,18,2,3,1,15,2,14,2,15,3,14,1,3,1,14,1,15,1,8,7,15,2,8,1,18,1,15,1,14,1,3,5,18,1,4,47,3,11,16,7,3,3,16,20,17,1,14,1,7,2,14,3,7,2,8,1,7,3,14,3,18,2,8,1,10,1,4,10,18,1,8,2,18,3,8,4,9,2,8,1,15,15,14,8,15,8,8,2,15,2,8,2,15,2,8,1,15,2,8,1,10,3,8,2,15,6,18,2,8,3,18,2,14,1,18,1,8,2,18,2,8,1,18,1,14,2,18,4,15,2,18,3,15,1,14,2,15,2,18,3,14,3,3,3,14,2,15,3,18,1,14,1,16,4,3,1,14,1,3,1,16,7,3,6,14,1,15,1,18,1,15,1,3,6,18,2,3,7,4,1,19,2,4,2,18,1,4,6,18,2,4,7,18,1,3,3,16,1,3,3,18,1,9,1,18,2,10,1,18,1,3,1,16,3,3,1,18,5,3,1,16,3,3,2,16,4,3,3,16,3,3,5,16,7,3,1,18,1,4,2,18,1,3,3,4,2,18,12,4,6,18,2,4,226,19,4,4,1,18,5,8,1,10,3,9,1,18,1,3,2,16,3,3,1,16,1,3,3,14,1,18,6,8,1,10,14,18,3,8,5,18,1,8,5,18,2,8,3,18,3,8,3,18,1,14,1,18,2,9,1,10,1,18,1,4,1,18,1,3,1,16,181,3,2,18,1,4,535,},
{4,84,3,1,18,1,4,301,18,7,10,2,8,13,10,3,8,4,10,2,8,4,10,4,8,3,10,3,8,2,10,2,8,2,10,2,8,1,10,6,8,1,18,1,3,1,16,2,3,1,18,1,10,1,8,2,10,12,8,3,18,3,8,12,10,39,8,2,10,5,8,6,10,28,8,2,18,1,14,1,3,1,16,3,3,1,18,1,8,1,10,1,8,5,18,1,8,1,10,9,8,1,9,1,10,2,18,1,3,1,16,2,3,1,18,1,10,2,8,2,18,2,3,2,16,1,3,1,16,31,3,2,18,2,3,2,18,3,8,1,10,2,8,1,18,4,8,2,10,6,8,5,10,4,8,5,10,5,8,2,10,6,8,1,18,1,8,2,10,67,8,6,10,4,8,3,10,16,8,1,10,65,8,7,10,12,8,6,10,49,8,4,10,2,8,2,10,5,8,6,10,11,8,6,10,5,8,1,10,8,8,2,10,22,8,13,10,6,8,4,10,17,8,3,9,1,10,23,8,37,18,5,8,2,18,1,14,1,15,1,8,2,18,3,4,2,18,1,10,6,8,1,18,1,4,3,19,6,4,16,18,1,4,1,18,10,4,101,19,6,4,25,18,1,3,6,16,7,17,1,6,1,14,2,6,2,17,4,6,2,14,12,15,2,14,6,15,1,8,1,15,1,14,28,15,2,8,1,15,1,14,2,8,1,10,3,8,1,15,1,8,7,15,1,14,1,15,1,8,4,15,2,8,3,14,4,15,1,8,5,10,1,8,2,14,6,18,2,4,73,18,1,3,6,16,2,3,4,18,1,4,2,19,5,4,22,3,2,18,1,4,5,10,1,18,2,3,1,14,7,3,1,16,2,14,1,8,5,10,1,8,1,15,1,14,2,15,1,8,1,15,1,14,1,16,2,3,1,18,3,4,47,3,4,18,5,3,9,18,1,3,2,16,1,3,3,16,10,17,1,16,3,17,1,7,13,8,4,9,2,10,1,4,9,18,1,9,1,8,1,18,3,8,5,9,2,8,1,15,13,14,12,15,2,8,3,15,5,8,1,15,3,8,3,10,5,8,1,15,1,18,13,8,3,18,2,8,1,18,1,14,2,18,4,14,2,18,2,15,3,14,3,15,2,14,9,15,1,18,1,8,1,18,1,14,1,16,4,14,1,15,1,3,1,16,7,3,1,14,1,3,5,14,1,15,1,14,1,3,2,18,2,3,5,16,4,3,2,19,4,3,3,18,1,4,13,18,1,3,5,18,4,3,1,18,1,10,1,9,1,3,1,16,3,3,1,18,5,3,1,16,3,3,2,16,4,3,3,16,2,3,2,18,1,3,4,16,5,3,2,4,3,18,1,3,3,18,2,3,4,18,8,4,7,18,1,4,226,19,4,4,1,18,5,10,3,8,1,14,1,3,1,16,4,3,5,14,1,18,7,9,1,10,6,9,1,10,7,18,3,9,3,8,8,18,2,8,10,18,1,14,1,18,2,10,2,4,2,18,1,3,1,16,182,3,2,4,534,},
{4,388,18,6,10,2,8,11,10,4,8,5,10,3,8,2,10,6,8,3,10,6,8,2,10,8,8,1,14,1,3,1,16,3,3,1,8,1,10,1,8,1,10,13,8,2,18,5,8,14,10,22,8,1,10,13,8,2,10,3,8,9,10,28,8,1,18,1,15,1,14,1,3,3,14,1,15,1,8,2,10,5,8,2,10,12,8,1,3,1,16,3,3,1,10,3,18,2,3,2,16,38,3,3,18,4,10,2,18,4,8,2,10,2,8,1,10,3,8,4,10,6,8,1,18,3,8,2,10,12,8,1,18,1,8,2,10,27,8,2,10,38,8,7,10,3,8,3,10,82,8,5,10,13,8,5,10,50,8,11,10,2,8,7,10,8,8,1,10,3,8,5,10,4,8,2,10,8,8,2,10,24,8,11,10,7,8,3,9,1,10,17,8,2,9,1,10,7,9,2,10,15,8,4,10,2,8,31,18,2,8,5,18,9,10,9,4,3,19,6,4,17,18,1,10,1,8,1,18,12,4,97,19,6,4,26,18,3,3,3,14,2,16,6,6,1,14,1,6,1,17,7,6,2,17,1,6,1,14,8,15,3,14,2,15,2,8,5,14,9,15,1,14,19,15,3,14,2,8,1,10,3,8,1,15,1,8,6,15,1,14,2,15,1,8,4,15,2,8,2,15,1,14,3,15,1,8,9,14,6,3,1,18,1,4,74,18,2,3,3,16,4,3,2,18,1,4,2,19,6,4,22,3,3,18,2,4,1,10,3,18,2,14,8,3,1,16,2,14,1,15,3,8,2,10,1,8,2,14,3,8,1,18,1,14,1,3,1,16,2,3,3,18,1,4,46,18,1,3,1,18,3,4,3,18,4,3,6,18,1,3,2,16,1,3,4,16,8,17,1,14,1,17,3,14,1,7,11,14,1,8,3,10,2,9,2,10,9,9,2,8,2,18,2,9,2,8,6,15,6,8,2,15,5,14,13,15,2,8,3,15,3,8,2,15,3,8,1,15,1,8,2,10,5,8,1,18,3,8,2,18,3,15,1,14,1,15,1,18,1,8,1,9,1,10,2,8,1,18,2,8,1,18,2,14,1,18,4,14,3,15,5,14,2,15,2,14,5,15,1,18,2,15,2,8,2,15,1,14,1,3,1,16,3,14,1,15,1,14,1,16,7,3,1,14,2,3,5,14,2,3,2,18,2,3,3,16,8,3,1,4,2,3,1,16,2,3,3,18,1,4,11,18,1,3,4,18,1,10,2,9,1,18,1,3,2,18,1,9,1,18,2,3,2,14,1,18,3,3,2,16,3,3,4,16,3,3,1,18,1,3,5,18,1,3,4,16,5,3,1,4,4,18,1,3,8,18,3,10,2,18,1,4,4,19,1,4,8,19,2,4,222,19,4,4,2,18,4,8,1,10,2,18,1,3,1,16,4,3,2,18,5,8,1,9,4,8,2,9,2,10,5,9,1,10,6,9,1,18,3,9,1,10,2,8,1,18,1,8,4,18,1,15,1,18,2,8,10,18,2,3,1,18,2,10,1,4,3,18,1,3,1,16,182,3,2,4,533,},
{4,388,18,5,10,4,8,1,10,1,8,7,10,5,8,5,10,5,8,1,10,7,8,2,10,5,8,1,10,8,8,1,18,1,3,1,16,3,3,1,18,1,10,1,8,2,10,14,8,3,18,2,8,5,10,3,8,8,10,35,8,2,10,4,8,7,10,25,8,1,10,3,8,3,18,1,14,3,18,2,8,2,10,18,18,1,3,1,16,4,3,1,10,3,18,1,3,2,16,18,3,6,16,17,3,2,18,5,3,3,18,1,8,2,10,1,8,8,10,6,8,2,18,4,8,1,10,11,8,1,18,3,8,1,10,27,8,2,10,41,8,4,10,4,8,1,10,82,8,5,10,14,8,4,10,51,8,2,18,2,8,16,10,13,8,4,10,3,8,1,18,1,8,1,10,8,8,2,10,27,8,8,10,7,9,1,8,1,9,1,10,19,8,1,9,1,10,7,9,2,10,23,8,29,18,2,8,2,10,1,8,3,18,1,14,4,3,1,14,1,18,1,10,9,4,3,19,6,4,16,18,1,9,1,8,1,18,4,8,3,18,1,14,2,3,2,18,2,4,96,19,6,4,29,18,1,3,3,14,1,3,1,17,1,14,1,17,1,16,2,17,1,14,1,17,3,16,2,17,8,14,7,15,2,14,3,15,1,8,5,15,1,14,9,15,1,14,15,15,2,14,7,15,1,8,3,15,2,8,5,15,1,14,4,8,4,15,5,14,3,15,1,8,7,10,1,8,1,15,1,14,1,15,2,14,2,3,1,18,1,4,76,18,2,3,7,18,1,4,2,19,6,4,22,3,4,18,1,10,4,18,2,14,8,3,1,16,2,14,1,15,1,14,2,15,1,8,3,18,1,14,3,18,1,8,1,14,1,3,1,16,5,3,1,18,1,4,51,19,2,4,4,18,8,3,3,18,2,3,2,16,5,17,1,14,10,6,1,14,2,7,3,14,1,7,2,8,1,10,4,8,1,18,2,9,1,10,2,9,6,8,3,18,1,8,1,10,2,8,1,15,1,8,2,15,7,8,3,15,5,14,4,15,1,14,8,15,3,8,1,15,4,8,2,15,2,8,2,15,1,8,1,10,6,8,7,18,2,15,1,14,1,15,1,18,1,9,1,10,3,9,1,10,2,9,1,18,2,15,1,18,3,15,1,14,6,15,2,14,8,15,1,18,3,15,1,18,1,15,2,14,1,3,5,14,2,3,1,16,7,3,1,14,3,3,6,14,1,18,3,3,2,16,10,3,2,16,5,3,2,18,1,4,9,18,2,3,4,18,1,10,2,9,1,18,1,3,3,18,1,9,1,10,1,18,5,3,3,16,3,3,4,16,3,3,5,18,3,3,4,16,5,3,1,4,2,18,1,3,1,18,3,3,2,16,2,3,2,4,3,18,2,4,4,19,6,4,2,19,4,4,222,19,4,4,3,18,3,10,3,18,1,3,5,14,1,18,1,8,1,10,2,9,1,18,1,9,2,10,4,9,10,10,4,9,1,18,1,9,1,18,3,10,2,8,1,18,2,8,2,18,2,15,2,18,1,8,6,15,2,8,1,18,3,3,2,14,1,18,1,4,4,3,1,16,183,3,2,4,532,},
{4,392,18,1,10,7,8,4,10,7,8,5,10,4,8,4,10,7,8,1,10,10,8,4,14,1,3,1,16,2,3,2,10,1,8,2,10,15,8,10,10,2,8,10,10,5,8,4,10,25,8,2,10,35,8,1,18,2,8,4,10,2,15,1,14,1,15,1,8,2,10,19,18,1,3,1,16,5,3,1,18,1,10,1,9,1,18,1,3,1,16,10,3,1,16,8,3,7,16,4,3,4,16,9,3,2,18,2,3,6,18,1,8,3,18,3,8,4,10,6,8,2,18,3,8,2,10,10,8,2,18,3,8,1,10,27,8,2,10,42,8,3,10,4,8,1,10,81,8,6,10,5,8,2,10,8,8,1,10,52,8,2,18,3,8,16,10,14,8,2,10,3,8,1,18,2,10,9,8,2,10,26,8,11,10,50,9,3,10,8,8,29,18,2,8,6,18,1,14,2,18,2,14,2,18,1,8,1,10,6,8,1,10,1,4,4,19,6,4,13,18,2,9,1,8,1,18,1,15,4,8,4,14,5,18,5,4,92,19,6,4,30,3,8,16,2,17,2,16,6,17,2,14,1,17,4,14,1,7,1,14,5,15,2,14,3,15,2,8,1,15,1,14,8,17,1,14,3,15,2,14,13,15,3,14,6,15,5,8,5,15,1,14,2,15,1,14,3,15,1,8,3,15,6,14,1,15,3,8,6,10,1,8,1,15,5,14,1,3,1,4,2,19,2,4,75,18,2,3,2,18,3,4,2,19,6,4,22,18,1,3,3,18,2,9,1,10,2,9,1,18,2,14,1,15,2,14,2,15,3,3,1,16,2,14,1,15,1,14,2,15,1,18,4,15,6,14,1,16,6,3,1,4,50,19,6,4,8,18,1,3,3,4,2,18,1,3,6,14,10,17,1,16,1,17,1,14,5,15,1,8,1,10,4,8,1,15,1,14,2,18,2,8,2,18,2,8,6,18,1,8,1,10,1,9,1,18,1,15,1,18,2,15,7,8,1,9,1,8,1,15,5,14,3,15,5,14,3,15,10,8,8,10,2,8,2,9,3,8,6,18,5,8,1,10,7,9,1,18,5,15,1,14,3,3,2,14,2,15,2,14,9,15,1,14,1,15,1,18,2,15,1,14,1,3,3,14,2,3,1,16,9,3,2,14,3,3,3,16,2,3,1,18,1,9,1,18,2,3,1,16,19,3,2,18,1,4,6,18,5,3,3,18,2,9,1,18,1,14,1,3,4,18,1,9,5,18,1,14,1,3,2,16,4,3,2,16,4,3,2,16,1,3,2,4,3,3,1,16,1,3,1,16,6,3,1,18,2,3,2,18,3,3,1,16,3,3,1,4,3,18,3,4,2,19,14,4,223,19,4,4,5,10,5,18,6,8,1,10,3,8,1,18,1,8,1,9,1,10,3,9,2,18,4,9,4,10,4,18,2,9,1,18,3,10,2,18,6,15,3,18,1,8,5,15,4,18,8,4,2,18,1,3,1,16,183,3,3,4,531,},
{4,94,19,1,3,2,19,1,4,295,10,16,8,3,10,4,8,3,10,1,8,5,10,6,8,1,10,1,8,2,10,6,8,1,18,4,14,1,3,4,8,1,10,1,8,1,10,4,18,1,10,12,8,21,10,4,8,5,10,24,8,3,10,34,8,1,18,1,14,2,18,1,8,4,18,1,14,2,18,1,8,1,10,15,8,1,10,3,18,1,14,1,3,2,16,5,3,1,10,2,18,1,3,1,16,4,3,8,16,7,3,5,16,4,3,3,18,2,3,2,16,9,3,4,16,2,3,3,18,3,14,1,3,1,14,1,18,1,8,3,10,7,8,6,10,10,8,2,18,3,8,2,10,71,8,2,9,1,10,85,8,3,10,2,8,2,10,4,8,3,10,60,8,3,18,2,8,17,10,19,18,3,10,43,8,5,10,49,9,4,10,8,8,35,15,1,8,1,15,3,18,2,15,1,18,2,8,7,18,3,4,3,19,6,4,13,18,1,9,1,8,1,18,1,15,1,14,2,15,2,8,3,15,1,14,6,3,4,18,1,4,92,19,4,4,31,18,1,3,9,16,1,17,1,16,5,17,2,14,6,7,2,15,1,14,10,15,1,14,9,17,2,14,3,15,2,14,5,15,1,14,6,15,4,14,5,15,1,8,2,15,3,8,3,15,2,14,3,15,2,14,2,8,4,15,6,8,1,15,3,8,6,10,2,8,1,15,1,18,2,15,1,18,2,4,1,19,4,4,84,19,3,4,23,18,1,3,3,14,1,18,2,8,1,10,2,18,1,14,1,3,1,14,1,15,2,14,2,15,1,8,2,14,1,3,2,14,1,15,1,14,3,15,3,18,2,8,2,15,2,8,1,15,1,14,1,16,5,3,1,18,1,4,46,19,10,4,8,18,1,3,1,4,4,18,1,3,5,14,1,18,1,14,1,3,1,14,7,16,2,17,1,14,4,8,1,10,3,8,2,14,2,3,3,14,1,18,4,8,1,10,3,8,1,18,1,15,1,8,3,15,2,18,2,15,6,8,4,15,6,14,2,15,1,8,2,15,11,14,3,15,1,8,8,10,1,9,1,8,3,9,1,10,1,9,1,8,2,18,2,8,3,18,3,8,1,10,7,9,1,18,5,14,4,3,3,14,1,15,3,14,10,15,1,8,2,14,1,3,1,16,2,3,1,14,2,16,9,3,2,14,3,3,4,16,2,3,1,18,1,9,1,18,1,3,2,16,20,3,5,18,4,3,2,18,2,3,4,18,2,14,1,3,1,14,2,3,3,14,1,18,1,9,1,10,1,9,1,18,1,15,1,18,1,3,1,16,3,3,3,16,4,3,2,16,1,3,1,4,4,3,1,16,7,3,2,18,2,3,2,18,2,3,1,16,4,3,1,4,2,18,1,3,3,4,1,19,3,4,2,19,10,4,224,19,3,4,5,10,7,18,2,14,1,18,1,8,1,10,3,8,1,18,3,10,4,9,2,18,4,9,3,10,3,9,2,18,5,8,2,18,10,8,5,15,6,18,8,3,2,16,183,3,3,4,531,},
{4,94,3,4,4,295,18,1,4,2,8,3,10,8,8,4,10,5,8,3,10,1,8,5,10,6,8,1,10,1,8,3,10,5,8,1,18,1,14,1,18,1,8,1,18,4,8,1,10,6,8,1,18,2,10,10,8,21,10,5,8,5,10,20,8,7,10,34,18,1,14,1,15,1,18,1,8,1,10,2,8,1,3,2,16,1,3,1,15,1,10,4,8,5,10,2,8,3,10,1,8,1,10,3,18,1,14,1,18,3,3,1,16,3,3,1,18,1,10,2,18,1,3,1,16,3,3,8,16,7,3,4,16,6,3,2,18,3,3,1,16,4,3,1,16,5,3,3,16,3,3,8,14,1,8,1,10,3,8,8,10,13,8,3,18,5,8,4,10,68,8,2,9,1,10,13,8,2,10,20,8,3,10,47,8,3,10,2,8,1,10,5,8,1,18,1,8,1,10,59,8,23,10,18,8,1,18,2,8,1,10,45,8,1,9,1,10,51,9,2,10,11,8,8,10,2,8,22,15,4,18,11,14,1,18,6,4,3,19,5,4,10,18,6,15,1,14,2,15,7,14,5,3,6,18,1,4,2,19,5,4,121,3,3,14,1,3,4,14,1,17,3,16,3,17,1,14,3,7,1,14,2,7,2,8,1,15,1,14,12,17,1,16,1,17,1,14,5,17,2,14,4,15,1,14,5,15,3,14,3,15,2,8,2,15,2,14,4,15,1,8,3,15,2,8,2,15,1,14,5,8,8,15,6,8,1,15,3,8,6,10,1,8,2,18,6,4,1,19,4,4,72,19,5,4,28,19,1,18,4,3,4,14,3,18,1,9,2,18,1,3,3,14,1,15,1,14,1,15,1,8,3,15,1,14,2,15,2,14,1,3,1,14,3,18,2,8,6,15,1,14,1,16,6,3,1,4,46,19,4,4,2,19,4,4,15,18,1,3,4,14,3,3,2,14,7,17,2,14,4,10,3,8,1,15,1,14,2,3,4,14,1,18,3,8,2,10,3,8,1,14,1,15,6,18,3,15,6,8,2,15,7,14,2,15,3,8,6,15,7,14,2,15,1,8,6,9,3,8,2,9,3,8,2,18,4,8,6,9,1,10,2,9,1,10,3,8,1,18,5,15,1,14,1,15,1,14,2,3,3,14,1,15,2,14,2,3,1,14,1,15,2,14,4,15,1,18,2,15,1,3,1,16,2,14,2,3,1,16,9,3,1,14,4,3,3,16,4,14,1,18,2,3,2,16,24,3,7,18,1,10,1,18,1,3,2,18,3,3,2,18,1,9,1,18,1,15,1,3,3,15,1,9,2,18,4,3,4,9,1,18,1,3,1,16,3,3,2,16,1,3,1,4,3,18,1,3,1,16,4,3,1,16,1,3,2,18,3,3,5,16,3,3,1,18,1,4,2,3,1,16,2,3,1,19,3,4,1,18,2,4,1,19,9,4,233,18,1,3,1,14,1,18,3,3,3,14,1,8,1,10,3,8,1,14,2,18,1,9,1,10,5,9,1,18,2,9,2,10,4,18,2,10,2,18,10,8,2,18,1,8,8,15,5,14,1,18,2,9,2,18,1,3,4,16,167,3,2,16,13,3,5,4,531,},
{4,94,3,4,4,297,18,1,9,1,8,4,10,16,8,2,10,1,8,6,10,4,8,2,10,2,8,2,10,2,8,2,10,1,8,2,18,1,8,4,10,3,8,1,10,6,9,1,10,3,18,2,10,6,8,17,10,10,8,4,10,18,8,9,10,31,8,1,18,1,14,1,3,1,14,1,18,1,8,1,10,1,8,2,3,1,16,3,3,1,18,1,10,3,8,6,10,2,8,3,10,5,18,2,8,1,10,2,18,1,16,3,3,1,10,3,18,1,3,1,16,3,18,1,10,1,18,4,3,2,16,2,3,3,16,11,3,7,16,4,3,3,16,8,3,2,14,1,3,3,16,2,3,1,14,1,18,1,8,10,10,9,8,2,10,1,8,5,18,2,8,2,18,4,8,5,10,62,9,1,8,3,10,13,8,4,10,9,8,1,10,9,8,4,10,46,8,3,10,8,8,2,10,60,8,22,10,18,8,1,18,2,8,1,10,114,8,3,10,8,8,18,15,5,8,2,18,8,14,3,18,5,4,14,18,9,15,4,8,2,15,2,14,8,3,7,4,2,19,6,4,120,18,1,3,1,18,2,3,3,14,6,17,2,14,3,7,6,8,2,14,8,15,2,14,2,17,1,16,1,17,1,14,5,17,1,14,4,15,1,14,6,15,1,8,2,15,4,8,3,15,7,8,6,15,1,14,6,15,1,8,1,10,3,8,2,15,2,8,2,15,7,8,9,18,3,8,1,18,2,4,1,19,4,4,72,19,6,4,27,19,1,3,2,18,2,3,3,14,5,8,1,18,1,14,1,3,3,14,3,15,1,18,1,8,3,15,1,14,1,15,1,14,1,3,3,14,2,18,5,8,3,15,1,14,1,16,6,3,1,4,46,19,3,4,3,19,4,4,16,18,1,3,9,14,11,15,1,10,2,8,1,14,5,3,1,14,1,3,1,14,2,18,2,8,2,10,3,18,1,14,1,15,1,18,1,14,2,15,1,18,3,15,36,14,1,15,1,8,1,9,1,15,1,8,2,9,1,8,5,9,1,8,3,18,3,8,4,18,3,8,1,9,2,8,1,9,1,10,2,18,7,15,2,14,2,3,2,14,2,15,1,18,1,15,1,14,3,15,3,14,2,15,2,18,3,14,1,3,2,14,2,3,1,16,8,3,2,14,1,15,2,14,1,3,3,16,4,3,1,18,2,3,2,16,28,3,1,16,1,3,1,18,8,3,2,18,3,14,1,3,2,16,1,3,1,18,1,9,1,18,4,14,1,3,2,14,1,10,1,9,1,3,1,16,3,3,2,16,1,3,1,4,3,3,1,16,4,3,1,18,1,3,3,18,2,3,4,16,5,3,1,18,1,4,1,18,1,3,1,16,2,3,1,4,1,19,1,4,1,18,1,3,2,4,2,19,2,4,3,19,3,4,233,18,1,3,2,14,1,18,1,14,1,3,3,18,1,8,1,18,2,8,1,18,1,14,2,18,1,10,7,9,3,10,4,18,3,10,2,18,7,8,10,18,2,8,1,15,1,8,1,15,4,14,2,18,1,9,1,18,2,3,2,18,1,3,2,16,166,3,2,16,11,3,7,4,531,},
{4,94,19,3,4,299,8,9,10,15,8,7,10,2,8,3,10,2,8,6,10,11,8,2,10,2,8,2,10,5,18,2,10,6,8,2,18,1,8,6,10,1,8,6,10,12,8,2,10,19,8,18,10,5,8,2,10,15,18,1,3,1,16,2,3,1,18,1,10,2,18,1,3,1,16,4,3,1,8,1,10,1,8,1,18,2,8,2,10,10,8,1,18,3,10,3,9,1,3,1,16,3,3,1,18,1,10,2,18,1,3,1,16,2,3,1,9,1,10,2,9,1,18,2,3,7,16,9,3,6,16,2,3,4,16,2,3,5,16,3,3,2,18,1,9,1,18,1,14,1,3,1,16,3,3,1,14,1,18,4,8,1,10,2,8,4,10,8,8,6,18,1,8,2,18,2,8,1,18,2,14,3,18,5,8,1,10,58,8,7,10,13,8,4,10,19,8,3,10,47,8,2,10,7,8,3,10,15,8,1,10,45,8,2,18,1,8,6,18,1,8,12,10,18,8,1,18,1,8,1,10,71,9,1,10,55,8,17,15,1,8,6,18,2,8,2,18,8,8,3,18,1,4,6,18,2,4,5,18,9,14,2,15,1,8,5,15,1,14,8,3,7,18,1,4,2,19,5,4,123,18,1,3,3,14,11,15,1,7,3,15,2,8,1,15,2,14,6,15,1,8,2,15,1,14,13,15,2,14,6,15,1,8,3,15,1,8,5,15,3,8,2,15,1,14,1,15,1,8,4,15,1,14,7,15,1,8,1,10,3,8,1,15,3,8,2,15,1,14,3,15,1,8,11,18,1,15,2,8,1,18,3,4,2,19,2,4,73,19,4,4,25,19,3,4,2,18,1,3,4,14,6,18,2,14,7,15,2,18,1,8,2,18,2,14,1,3,4,14,1,15,1,18,2,15,1,14,2,8,3,14,2,16,6,3,1,4,53,19,3,4,17,18,1,3,10,14,7,15,2,8,3,15,1,14,5,18,3,14,1,18,3,8,3,10,2,18,1,14,1,8,2,15,2,18,4,14,2,15,16,14,6,15,8,8,3,18,1,15,2,8,1,9,1,18,1,15,1,8,2,18,4,8,5,18,11,9,1,8,1,18,2,9,2,18,7,15,1,14,2,3,1,14,2,15,2,18,1,8,1,15,1,14,2,15,2,18,2,14,1,15,1,18,4,8,2,14,2,15,1,14,1,16,9,3,2,14,1,18,2,3,5,16,3,3,6,16,30,3,1,18,7,3,2,18,1,14,1,3,4,16,2,15,1,8,1,15,1,14,3,3,4,14,1,18,1,3,2,16,2,3,3,18,1,4,2,18,1,3,1,16,3,3,1,4,2,18,1,3,6,16,7,3,1,18,2,3,2,16,2,3,1,4,2,18,1,3,1,16,1,3,1,18,1,4,242,18,1,3,2,14,1,18,1,14,2,3,1,18,1,10,2,18,6,8,1,10,14,18,3,10,2,18,3,8,1,18,2,8,11,15,4,8,3,15,3,18,2,15,1,18,4,10,2,9,1,3,1,16,167,3,5,16,4,3,4,16,1,3,4,4,531,},
{4,397,10,1,8,10,10,10,8,14,10,3,8,6,10,4,8,2,10,2,8,1,10,6,18,5,10,5,8,2,10,2,8,9,10,1,8,5,10,13,8,1,10,24,8,14,10,4,8,3,10,13,8,1,14,1,3,1,16,3,14,1,8,2,18,1,3,1,16,5,3,1,8,1,10,1,18,3,8,1,10,11,8,1,18,3,10,3,18,1,3,5,18,1,10,2,18,1,3,3,18,1,10,3,9,1,18,3,3,6,16,8,3,2,18,1,3,3,16,4,3,3,16,2,3,4,16,4,3,1,18,1,10,2,9,1,18,1,3,6,14,2,3,1,14,1,18,1,8,4,10,10,8,5,18,2,8,1,18,5,14,4,18,4,8,1,10,58,8,1,18,5,8,1,10,14,8,4,10,76,8,2,18,2,10,62,8,1,15,2,8,2,10,2,8,1,18,2,8,10,10,20,8,2,10,62,8,1,10,68,8,13,15,3,8,15,18,2,8,4,18,6,3,1,18,2,10,3,18,3,3,1,14,1,15,1,18,3,15,3,8,6,15,2,14,8,3,7,18,1,4,2,19,4,4,125,18,1,3,2,18,2,14,12,15,2,8,2,15,1,14,3,15,2,14,1,15,2,8,2,15,1,14,3,15,2,14,7,15,2,14,7,15,1,8,2,15,1,8,4,15,1,14,2,15,1,8,3,15,2,8,4,14,5,15,3,14,1,15,1,10,4,8,1,15,3,8,2,14,2,15,2,8,2,15,2,8,7,18,1,14,1,15,1,8,1,18,4,4,2,19,1,4,102,19,4,4,1,18,1,3,3,14,3,17,1,14,2,15,4,14,1,15,1,14,6,15,2,18,3,14,1,3,4,14,1,18,1,15,2,14,3,8,3,15,1,14,3,17,1,16,3,3,1,4,50,18,1,4,23,18,5,3,1,18,1,14,1,3,3,14,2,15,1,18,1,8,6,15,1,14,5,18,9,15,1,8,1,10,2,15,1,14,2,15,1,14,1,15,2,18,3,14,3,15,8,8,2,15,4,14,9,15,2,14,1,15,2,8,2,9,2,8,1,18,2,8,2,18,9,8,5,18,10,9,1,18,7,9,2,18,3,15,1,3,4,15,1,9,3,18,1,15,1,14,4,15,2,14,2,18,1,8,1,15,1,18,1,8,2,15,1,14,1,15,1,14,1,16,8,3,4,18,2,3,5,16,3,3,4,14,1,3,2,16,30,3,3,18,5,14,1,3,2,16,2,3,2,16,1,3,1,15,1,8,1,14,1,3,1,14,1,3,2,16,3,3,1,14,1,3,7,18,1,4,2,3,1,16,4,3,1,4,2,18,1,3,5,16,8,3,2,18,2,3,3,18,1,4,2,3,5,4,242,18,8,9,1,10,2,8,1,18,3,8,1,9,1,10,7,9,1,10,7,18,3,10,2,18,5,8,1,18,2,8,1,18,3,8,4,15,5,8,3,15,2,18,2,14,2,18,4,10,3,18,1,3,1,16,166,3,6,16,2,3,4,16,4,3,2,19,1,4,530,},
{4,400,10,1,9,1,10,2,18,1,9,1,8,4,10,8,8,13,10,6,8,4,10,3,8,6,10,7,18,4,10,2,18,1,10,2,8,2,10,2,8,8,10,2,8,5,10,11,8,7,10,23,8,3,10,2,8,5,10,7,8,3,10,11,14,1,16,4,14,1,8,2,18,1,3,1,16,3,3,1,18,2,8,1,9,1,8,3,10,15,8,2,9,1,10,2,18,1,3,4,18,1,10,4,18,3,10,1,18,4,3,2,18,1,3,2,16,1,3,2,16,8,3,5,16,6,3,3,16,2,3,3,16,4,3,1,18,1,10,2,9,1,18,1,3,3,14,2,3,6,14,1,18,2,8,2,10,12,8,3,18,2,8,1,18,1,14,7,18,1,10,62,8,1,18,6,9,1,10,4,8,1,10,9,8,4,10,65,8,4,10,6,8,2,18,1,14,1,18,1,10,61,8,1,18,1,15,2,18,1,8,1,10,2,8,1,18,2,8,9,10,51,8,2,10,32,8,2,10,57,8,4,10,7,8,12,15,1,14,2,15,1,8,2,15,1,18,1,10,6,8,1,18,1,8,2,15,1,14,1,18,1,8,4,18,5,3,1,18,1,8,4,18,2,14,4,15,1,18,2,8,1,18,1,8,8,15,2,14,7,3,8,18,1,4,2,19,4,4,55,18,3,3,1,18,2,3,10,18,10,4,23,19,3,4,18,18,1,3,1,18,2,14,13,15,1,8,2,14,3,15,3,14,3,15,3,14,4,15,2,14,6,8,1,15,1,14,8,15,1,8,1,15,2,8,3,15,1,14,3,8,9,14,2,15,6,14,1,15,2,8,1,10,2,8,1,15,3,8,2,15,3,8,12,18,1,14,2,8,2,18,1,3,2,4,3,19,2,4,100,19,4,4,1,3,3,14,4,17,1,14,2,15,5,18,1,14,8,18,1,8,1,18,1,14,1,3,3,14,1,18,1,15,1,14,3,15,2,8,4,15,1,14,2,17,2,16,1,3,2,4,47,18,1,3,6,19,1,4,1,3,5,19,1,4,12,18,2,10,1,18,1,3,2,18,2,14,2,3,1,14,1,18,1,8,1,10,2,8,3,15,2,14,5,15,1,18,1,8,2,18,6,14,1,8,1,10,2,15,1,14,1,3,1,14,4,15,1,8,1,9,1,18,1,14,2,15,7,8,1,9,2,8,1,15,3,14,2,3,3,14,4,15,5,8,2,9,2,8,1,18,1,15,1,18,4,15,2,18,4,8,1,9,4,8,1,18,8,8,1,9,2,18,6,9,3,18,3,14,1,3,1,16,2,3,1,15,1,9,3,15,1,14,2,3,3,14,2,3,2,15,1,18,1,15,2,8,1,18,1,14,2,15,1,14,1,16,2,3,1,14,1,3,1,16,2,3,5,18,2,14,1,3,5,16,1,3,4,14,2,3,2,16,33,3,1,18,1,10,2,9,1,18,1,3,1,16,3,3,3,14,1,8,2,14,1,3,1,14,2,3,1,16,3,3,1,18,1,3,4,14,1,3,1,18,2,10,1,18,1,16,5,3,1,4,2,3,1,16,13,3,2,18,2,4,7,18,1,3,3,4,242,18,2,4,1,18,1,4,2,18,1,10,4,8,2,9,1,10,7,9,7,10,3,9,1,18,3,9,2,18,4,8,2,18,4,15,2,18,1,8,3,15,5,8,2,15,3,18,2,14,1,3,1,18,6,4,1,18,1,3,1,16,165,3,5,16,13,3,3,4,529,},
{4,405,18,1,8,5,10,7,8,12,10,7,8,4,10,1,8,1,10,2,18,1,8,1,10,1,8,2,10,8,8,2,10,2,18,2,10,6,8,8,10,3,8,3,10,12,8,5,10,1,8,2,10,30,8,1,10,8,8,3,10,9,8,1,18,1,3,1,16,3,14,1,8,2,15,1,3,1,16,3,3,1,8,1,10,4,8,2,10,7,8,3,10,3,8,1,10,3,18,2,10,3,18,1,3,2,18,2,10,8,18,4,3,2,18,1,3,1,16,2,3,1,16,8,3,5,16,8,3,1,16,4,3,2,16,3,3,2,18,1,9,1,18,6,8,1,18,2,14,1,3,4,14,1,18,3,8,1,10,14,8,1,18,4,14,3,18,3,8,2,10,61,8,2,18,5,8,1,10,4,8,9,10,2,8,4,10,62,8,7,10,7,8,1,18,1,14,1,18,1,10,11,8,2,10,43,8,3,10,1,8,2,15,2,18,1,8,2,10,2,8,10,10,54,9,2,10,18,9,1,10,12,8,1,10,58,8,2,10,9,8,12,15,1,14,2,15,1,8,2,15,1,18,1,10,6,8,4,18,1,14,1,18,1,8,4,18,7,8,3,15,3,14,4,15,2,18,1,8,10,15,3,14,6,3,9,18,1,4,2,19,4,4,52,18,1,3,2,16,7,3,1,16,16,3,4,18,2,4,17,19,6,4,16,18,2,4,2,18,1,3,1,14,11,15,3,14,3,15,3,14,3,15,3,14,4,15,2,14,3,15,2,8,3,14,2,15,2,14,4,15,4,8,2,14,2,16,1,3,1,14,1,8,1,15,2,8,6,15,2,8,2,15,5,14,2,8,1,10,3,8,1,15,2,8,8,15,3,8,7,15,2,8,2,15,1,14,1,3,1,4,4,19,3,4,99,19,3,4,1,3,2,16,1,3,1,14,3,17,2,14,1,15,7,14,7,15,1,18,2,14,2,3,1,14,1,18,2,15,1,14,1,3,1,14,1,18,1,8,7,14,1,17,1,14,1,3,3,4,47,3,16,4,11,18,1,10,3,18,1,3,1,18,3,14,3,15,1,8,1,10,2,8,2,15,1,14,5,15,10,14,3,8,1,10,1,8,1,14,1,16,3,14,4,18,2,15,1,14,2,15,7,8,1,9,1,8,1,15,2,14,10,15,7,8,2,9,2,8,1,15,3,8,2,15,2,8,1,9,1,8,2,10,5,9,2,18,3,8,1,9,6,18,5,8,1,9,1,10,1,9,1,18,3,14,1,3,1,16,2,3,1,18,1,10,1,9,1,18,1,15,1,14,3,3,2,14,2,3,2,15,1,18,1,14,4,3,2,14,1,3,1,16,2,3,6,14,1,3,3,15,1,18,1,14,1,3,10,14,4,3,1,16,33,3,2,18,3,3,2,16,2,3,3,15,1,8,2,14,1,3,1,15,1,14,1,3,1,16,3,3,1,14,3,18,6,9,1,3,1,16,5,3,1,4,2,3,1,16,13,3,2,18,2,4,8,18,3,4,4,18,3,4,3,19,1,18,1,4,8,19,4,4,225,10,14,9,4,18,2,9,2,10,2,18,2,10,2,18,2,9,1,18,7,8,2,18,1,15,1,18,4,15,10,18,4,4,5,18,2,3,1,16,166,3,4,16,15,3,2,4,529,},
{4,406,8,5,10,2,8,3,10,16,8,9,10,2,8,1,10,4,18,2,10,20,8,8,10,19,8,1,10,6,8,3,10,36,8,3,10,8,8,1,18,1,14,1,3,1,16,2,3,1,8,2,14,1,3,1,16,3,3,1,14,1,8,1,10,4,8,1,18,1,8,1,10,6,8,1,18,3,8,1,10,3,8,1,18,2,8,1,10,4,18,1,3,1,18,2,10,9,8,1,18,4,3,2,16,9,3,10,16,11,3,2,16,2,3,1,18,5,8,2,18,1,8,4,18,2,14,3,18,6,8,1,10,12,8,1,18,1,14,1,18,6,8,1,10,63,8,2,18,2,8,5,10,2,8,2,18,1,8,4,18,3,8,1,10,2,8,3,10,62,8,8,10,8,8,8,10,51,8,6,15,1,18,1,8,9,10,31,8,1,10,57,8,3,10,68,9,2,8,5,18,5,8,3,18,4,8,2,18,2,8,1,10,5,8,1,10,3,8,1,18,1,8,1,10,1,8,4,18,3,15,1,14,2,15,1,18,1,8,1,18,2,15,2,14,3,15,2,8,10,15,4,14,13,3,3,18,1,4,1,19,4,4,44,19,3,4,2,18,1,3,4,16,29,3,14,18,1,4,3,19,7,4,20,18,1,3,4,14,17,15,8,14,2,15,2,14,2,15,1,8,1,10,2,8,1,15,4,14,8,15,1,8,1,15,1,16,4,15,1,8,1,14,2,15,1,8,6,15,2,8,1,15,2,8,2,7,1,14,1,15,1,8,1,10,3,8,1,15,1,14,1,15,1,8,7,15,1,14,2,15,1,8,4,10,1,8,2,15,1,8,2,15,1,18,2,4,5,19,3,4,98,19,3,18,1,3,1,16,2,3,1,14,1,7,1,14,1,17,2,14,1,7,2,15,5,14,5,15,9,18,1,15,2,14,1,3,1,14,1,8,1,10,1,8,1,18,3,8,2,14,1,3,1,14,1,3,3,4,46,19,1,3,9,16,2,17,1,14,3,3,1,18,1,4,10,18,2,8,2,18,1,14,2,15,1,8,1,15,1,14,2,15,1,8,4,15,1,14,6,15,2,14,6,15,2,14,3,15,1,8,1,15,1,14,1,16,3,14,1,15,1,14,6,15,8,18,1,8,2,15,2,14,5,15,4,18,6,15,3,18,1,9,2,8,1,15,3,8,1,9,1,8,2,10,11,8,1,18,2,10,3,9,4,18,4,8,2,9,3,18,4,3,2,16,1,3,1,18,1,10,1,8,1,15,3,14,8,15,2,14,1,3,7,16,6,3,6,15,1,18,1,14,1,3,9,18,1,3,3,18,1,3,1,16,35,3,2,18,2,3,6,14,1,18,1,9,1,14,2,18,1,14,1,3,1,16,3,3,1,14,1,18,1,10,2,9,1,18,1,14,1,18,3,3,2,16,5,18,2,3,1,16,13,18,1,4,1,18,1,3,6,18,2,4,1,10,2,4,4,18,1,3,9,18,1,4,6,19,5,4,215,19,5,4,8,10,14,18,3,10,3,9,1,10,3,18,2,9,2,18,6,9,1,10,1,9,1,18,2,14,1,3,1,14,1,18,13,10,1,4,6,18,1,3,1,16,167,3,3,16,14,3,2,4,530,},
{4,407,8,3,10,3,8,4,10,16,8,5,10,5,8,1,10,3,8,1,18,2,10,20,8,6,10,2,8,2,10,17,8,1,10,46,8,1,10,9,8,1,18,2,3,3,8,1,9,1,14,1,3,1,16,3,3,1,18,1,10,6,8,3,10,5,8,1,18,1,14,2,18,1,8,1,10,3,14,1,3,2,18,1,10,1,8,1,10,2,18,1,3,1,18,2,10,4,8,1,10,1,8,2,10,2,8,2,10,1,8,1,14,1,3,1,16,2,3,2,16,4,3,10,16,8,3,2,16,2,3,2,16,1,3,2,18,2,3,2,18,1,10,2,8,2,10,4,8,2,18,2,8,2,18,4,8,1,10,13,18,1,14,1,18,2,8,4,10,5,8,5,10,53,8,6,10,6,8,6,18,4,8,1,10,2,8,3,10,61,8,9,10,8,8,2,15,1,14,2,18,1,8,2,10,51,8,2,15,3,8,12,10,31,8,2,10,41,8,1,10,15,8,2,10,7,8,4,10,22,8,2,10,33,9,2,8,3,18,6,8,9,18,3,8,2,10,7,8,3,10,2,8,8,15,5,8,3,15,6,8,10,15,5,14,5,7,3,6,2,14,3,3,3,4,1,19,3,4,45,19,4,4,1,3,1,16,12,17,2,16,33,3,1,18,1,4,2,19,7,4,21,3,7,14,2,15,1,14,12,15,5,8,2,15,3,14,3,15,1,8,1,10,2,8,1,15,4,14,4,15,2,14,3,8,1,14,1,16,4,15,1,8,1,14,3,15,1,8,2,15,1,7,2,15,1,7,5,8,1,7,2,15,1,8,5,15,4,8,2,15,4,14,4,8,7,15,1,8,2,15,1,18,5,4,2,19,3,4,2,19,2,4,94,19,3,4,1,3,1,16,3,17,1,14,1,7,1,17,2,6,1,7,3,15,4,14,4,15,4,14,1,15,8,14,3,8,1,9,1,8,1,18,3,8,2,15,1,14,2,3,3,4,47,18,3,3,5,16,2,17,1,6,2,7,1,6,1,3,2,18,1,4,4,18,5,3,2,14,6,15,2,14,3,15,1,14,13,17,2,16,1,17,1,14,6,15,2,14,2,16,3,14,7,15,13,14,4,15,3,18,1,8,7,18,2,15,3,8,2,15,4,8,1,9,1,8,1,9,1,10,12,18,2,10,3,9,3,10,2,8,4,10,3,9,2,18,4,3,3,8,1,10,1,18,1,15,8,14,3,15,2,3,9,16,5,3,2,14,3,15,1,18,3,3,5,18,6,3,1,18,3,3,1,16,35,3,1,18,4,3,4,18,1,9,2,18,1,14,1,15,1,14,1,16,4,14,1,15,1,8,1,10,2,9,1,15,1,14,1,18,2,14,1,3,2,16,5,18,2,3,1,16,11,3,2,4,2,3,2,16,5,3,4,18,2,4,2,18,1,3,1,16,7,3,2,18,4,4,3,19,5,4,215,19,6,4,8,10,13,18,3,9,1,10,2,9,2,10,2,18,7,3,1,18,2,9,1,10,1,9,1,18,2,3,3,18,6,3,3,18,5,4,6,3,1,16,169,3,2,16,13,3,2,18,1,4,530,},
{4,407,18,1,8,2,10,2,8,7,10,5,8,2,10,1,8,1,10,2,8,2,10,2,8,3,10,9,8,2,10,11,8,1,10,12,8,3,10,1,8,4,10,7,8,4,10,6,8,3,10,10,8,2,10,14,8,2,10,27,8,1,10,1,9,1,18,4,3,1,16,2,3,2,18,1,8,1,10,2,9,1,8,2,10,8,8,1,18,1,14,3,18,1,10,3,8,1,3,1,16,1,3,1,18,1,10,4,18,1,3,1,18,1,10,7,8,1,18,2,8,1,10,4,18,1,3,18,16,4,3,1,16,2,3,7,16,3,3,1,18,5,8,1,10,1,8,2,10,4,8,2,18,3,8,4,10,5,8,2,10,8,8,1,18,2,8,2,10,1,8,1,10,4,8,2,18,3,8,3,10,7,8,2,10,41,8,6,10,11,8,3,18,3,8,1,10,3,8,3,10,61,8,4,10,12,8,1,18,1,14,1,3,2,14,1,15,1,8,1,10,52,8,16,10,74,9,1,8,1,10,50,8,1,10,36,8,2,18,3,8,6,18,2,8,5,18,3,8,1,10,6,8,2,18,1,15,2,8,5,15,1,8,6,15,1,14,1,15,2,8,3,15,5,8,9,15,5,14,6,7,3,6,1,17,1,14,2,3,4,18,1,19,4,4,44,19,4,4,1,3,1,16,12,17,1,6,1,17,1,16,3,17,2,16,27,3,1,18,1,4,2,19,7,4,20,18,1,3,6,18,3,15,3,14,14,15,1,8,2,15,3,14,3,8,4,15,1,14,3,15,1,14,3,15,1,8,2,15,1,14,2,15,1,14,1,16,4,15,1,8,1,15,1,14,6,17,1,14,2,7,2,14,3,7,1,8,2,15,2,8,3,15,4,8,1,15,2,14,4,15,5,8,8,15,2,18,5,4,2,19,3,4,97,19,4,4,1,18,1,3,1,16,3,17,3,6,1,14,1,7,3,15,2,8,1,15,1,14,12,15,6,14,2,18,9,15,2,3,3,4,50,18,1,3,2,14,4,6,3,17,2,3,3,18,3,3,6,16,4,3,3,14,13,17,3,14,3,17,1,16,5,14,6,15,2,14,2,16,2,14,3,3,2,14,5,15,7,14,7,15,3,18,10,15,3,8,2,15,1,14,2,15,2,8,2,9,2,10,11,9,1,18,1,9,3,18,1,9,1,10,4,8,3,10,5,18,4,3,2,14,1,18,1,8,1,15,10,14,3,15,2,14,1,3,4,14,2,3,2,16,3,3,2,14,2,15,1,18,5,3,4,18,9,9,1,18,1,3,2,16,34,3,2,9,1,10,1,18,2,3,2,18,1,9,1,10,2,18,1,14,2,3,1,16,3,3,1,14,1,8,2,9,2,18,1,14,2,9,1,18,1,3,3,16,4,3,1,18,2,3,1,16,10,3,1,4,3,3,1,16,11,3,3,18,2,3,2,16,5,3,1,14,1,18,3,3,1,18,1,4,4,19,4,4,215,19,7,4,11,10,10,18,1,8,1,9,1,10,1,9,1,18,2,10,2,9,1,18,14,14,5,3,2,14,1,3,5,18,3,3,8,16,182,3,4,4,531,},
{4,408,9,1,10,3,8,2,10,2,8,3,10,4,8,5,10,2,8,1,10,3,8,2,10,4,8,2,10,4,8,2,10,11,8,1,10,17,8,3,10,4,8,7,10,6,8,4,10,8,8,3,10,15,8,2,10,26,9,2,8,1,18,3,3,1,16,2,3,2,18,1,10,4,8,1,18,1,8,2,10,6,8,1,18,1,14,3,18,1,10,4,18,1,16,2,3,1,18,1,10,4,18,3,10,8,18,2,8,1,10,4,18,2,3,2,18,1,8,1,10,2,8,1,18,1,8,1,18,1,3,6,16,4,3,6,18,3,3,3,16,1,3,1,18,5,8,1,10,2,8,3,10,3,8,6,10,7,8,1,18,1,8,2,10,7,8,4,10,5,8,1,18,7,8,2,10,6,8,3,10,41,8,3,10,16,8,1,18,2,8,2,10,3,8,3,10,3,8,2,10,55,8,3,10,13,8,1,18,1,14,1,3,3,14,1,8,1,10,50,8,3,10,3,8,8,10,1,8,3,10,165,8,5,10,4,8,1,18,2,8,1,10,1,8,3,18,3,8,2,10,5,8,2,18,1,15,2,18,1,8,3,18,1,15,1,8,5,18,1,14,2,15,2,8,7,15,5,8,4,15,5,14,8,6,3,17,1,14,2,3,4,18,1,4,1,19,3,4,44,19,4,18,1,3,1,16,3,3,1,17,1,16,6,17,1,14,14,17,1,16,5,17,2,16,13,3,2,18,1,4,2,19,6,4,20,18,1,3,5,18,3,8,2,15,2,14,4,15,2,14,8,15,1,8,2,15,2,14,4,8,2,15,2,14,4,15,2,14,3,15,1,8,1,15,1,14,2,15,1,14,2,17,1,16,1,14,1,15,1,8,1,15,1,14,4,17,1,16,3,14,1,15,1,8,1,14,3,7,1,8,2,15,7,8,3,15,2,14,4,15,4,14,1,15,1,8,6,15,2,8,1,18,3,3,1,18,1,4,2,19,4,4,97,19,3,4,2,3,1,16,5,17,1,6,2,14,5,8,2,14,13,15,4,18,2,15,1,14,2,15,1,18,8,3,3,4,50,3,3,14,4,7,1,6,1,17,2,16,2,3,5,16,11,3,1,16,2,14,7,17,1,16,1,17,1,14,3,17,3,16,2,17,1,16,6,17,1,14,4,15,1,8,2,15,1,14,4,16,3,14,6,15,6,14,2,3,2,14,2,15,5,18,4,15,2,18,2,15,7,14,1,15,2,14,1,15,2,8,3,9,2,8,2,18,1,8,1,9,1,10,3,9,1,18,1,9,2,18,2,9,1,10,3,8,3,10,4,9,1,10,1,9,1,18,11,15,1,8,2,15,2,8,2,14,3,15,1,18,2,14,1,3,3,18,2,14,1,3,2,16,1,3,2,14,1,15,1,14,1,18,6,14,3,18,7,3,2,18,4,3,2,16,34,3,2,18,2,3,3,18,2,10,1,9,1,18,1,3,3,16,3,3,1,15,1,10,1,9,1,8,1,18,2,14,2,9,2,3,2,16,4,3,1,18,1,9,1,18,1,3,1,16,3,3,2,16,4,3,1,18,1,4,2,3,1,16,15,3,9,14,1,18,3,14,1,3,1,18,2,4,4,19,3,4,216,19,14,4,4,10,9,9,4,18,4,9,1,10,1,18,4,9,1,18,13,3,8,18,3,3,2,16,188,3,5,18,2,4,529,},
{4,408,10,3,18,2,10,3,8,10,10,8,8,2,10,4,8,2,10,4,8,1,10,12,8,1,10,12,8,2,10,4,8,1,10,4,8,8,10,6,8,6,10,6,8,3,10,16,8,2,10,17,8,1,10,1,8,2,18,2,8,2,18,1,14,1,3,3,14,2,3,4,18,1,10,4,9,1,10,2,8,1,10,5,18,2,14,3,18,1,8,1,10,3,8,1,3,4,18,1,10,4,18,3,10,7,8,2,10,7,14,1,3,2,8,1,10,1,8,1,18,1,8,1,10,3,18,1,3,2,16,6,3,6,18,5,3,4,18,1,8,1,18,2,8,1,10,4,8,6,10,7,8,2,10,3,8,5,10,5,8,1,18,3,8,1,10,3,8,2,18,1,14,3,18,1,8,3,10,4,8,4,10,63,8,6,10,2,8,3,10,3,8,2,10,54,8,4,10,5,8,3,10,4,8,1,18,1,14,1,3,3,14,1,8,1,10,51,8,3,10,3,8,8,10,1,8,3,10,79,8,1,9,1,10,85,8,4,10,4,8,7,18,5,8,2,10,4,8,4,15,2,8,3,15,2,8,2,15,4,14,2,15,1,18,1,8,7,15,3,14,1,15,2,8,1,15,7,14,8,6,3,17,2,14,1,3,4,18,1,4,1,19,5,4,42,19,4,18,1,3,1,16,3,3,1,17,4,16,2,17,2,14,15,17,2,16,1,17,1,14,4,17,2,16,10,3,4,18,2,4,26,18,2,3,1,14,2,15,2,18,1,8,2,15,2,14,14,15,4,14,2,17,1,14,2,8,2,14,6,15,2,14,4,15,3,14,1,15,4,14,2,15,6,14,1,16,4,7,1,8,2,7,1,14,1,15,1,8,1,15,1,8,3,15,5,8,4,15,3,14,1,15,1,8,2,15,2,14,2,8,6,15,2,8,3,18,1,3,2,18,1,4,1,19,4,4,102,3,1,16,6,17,3,14,4,15,1,8,1,14,14,15,4,18,1,15,1,3,2,14,1,18,8,3,2,18,1,4,50,3,5,14,3,17,4,16,1,3,4,16,5,3,1,14,1,3,1,16,2,3,1,14,2,17,1,16,2,17,1,14,3,17,1,14,1,17,1,16,2,14,3,17,2,16,3,14,2,17,1,16,1,14,2,16,3,14,2,15,2,8,1,9,1,8,1,15,1,14,3,16,3,14,7,15,5,14,1,3,3,14,2,15,23,14,2,15,10,8,1,10,3,8,1,18,1,8,5,9,2,8,1,18,2,8,2,10,2,18,1,9,1,10,2,18,12,8,1,18,1,14,1,18,1,8,2,18,1,14,1,15,1,18,3,14,1,3,3,14,3,3,5,15,1,18,1,15,1,18,5,14,3,18,7,3,4,18,3,3,3,16,35,3,6,18,4,3,3,16,4,14,1,9,3,18,2,14,1,18,1,9,2,14,1,3,2,16,3,3,1,18,1,10,1,9,1,3,1,16,3,3,1,18,1,3,6,18,1,3,1,16,8,3,2,16,6,3,8,18,10,4,222,19,14,4,4,10,9,18,1,9,1,18,3,9,3,10,2,9,1,18,3,9,1,18,3,9,1,18,2,9,2,18,2,10,1,9,1,18,1,3,7,18,4,3,1,16,180,3,2,16,6,3,2,18,1,3,5,4,529,},
{4,411,18,2,8,1,10,3,8,2,10,15,8,1,10,36,8,3,10,8,8,9,10,6,8,9,10,4,8,1,10,18,8,1,10,16,8,4,18,5,14,1,3,4,14,1,18,2,14,1,3,1,14,1,8,1,10,7,8,1,9,1,10,3,18,2,14,2,18,1,8,1,10,5,18,1,3,2,14,1,18,1,8,1,10,5,8,2,10,7,8,2,10,6,8,1,14,1,3,2,10,2,8,1,18,1,8,1,10,3,8,1,3,2,16,4,3,1,18,1,9,1,18,2,3,2,18,1,10,1,9,2,10,1,18,5,8,4,10,6,8,5,10,7,8,2,10,2,8,4,18,1,8,2,10,4,8,1,18,3,8,1,10,3,18,2,14,1,3,2,18,1,8,2,10,5,8,4,10,56,8,4,10,4,8,2,10,3,8,1,10,2,8,3,10,3,8,2,10,53,8,5,10,4,8,6,10,1,8,1,18,1,14,1,3,3,14,1,18,1,10,6,8,1,10,45,8,4,10,1,8,13,10,20,8,1,10,58,8,2,10,4,8,1,10,88,8,8,18,5,8,2,10,6,8,1,18,1,15,2,8,2,15,2,8,2,15,1,14,4,15,2,8,9,15,2,14,1,15,8,14,9,17,1,6,3,17,2,14,1,3,5,4,2,19,4,4,43,19,2,4,1,3,1,16,6,17,6,14,6,15,3,14,3,15,3,7,1,14,12,17,1,16,7,3,8,18,6,4,16,18,1,4,1,18,3,14,2,15,9,14,13,15,1,14,3,16,2,14,2,15,2,14,6,15,2,14,4,15,3,14,1,15,2,8,3,15,4,8,4,14,1,16,3,14,1,8,2,15,1,14,1,15,1,8,1,15,1,8,3,15,5,8,6,15,5,14,4,15,1,8,5,15,2,8,3,18,4,4,2,19,4,4,100,18,1,3,1,16,9,17,2,14,2,15,2,14,4,15,9,14,4,15,1,18,1,15,1,3,2,14,1,18,10,4,51,3,5,14,3,17,2,6,1,14,1,3,5,16,4,3,1,15,2,14,2,3,1,14,4,16,3,17,1,14,5,16,2,14,5,17,1,16,1,14,8,3,2,14,2,15,1,8,2,10,1,9,1,8,1,15,1,14,2,3,2,14,9,15,4,14,2,3,1,14,2,15,9,14,3,15,5,14,2,15,5,14,3,15,1,14,7,15,1,18,1,8,1,9,1,8,1,18,1,15,1,18,1,8,2,18,7,8,1,10,3,18,1,9,1,10,7,9,1,18,2,9,2,18,2,9,1,18,10,15,1,14,1,3,3,14,3,3,4,14,1,18,2,14,2,18,4,3,2,14,1,18,9,3,5,18,2,3,2,16,40,3,8,16,2,3,1,14,1,8,1,9,2,18,1,15,2,14,2,3,2,16,1,3,2,16,1,3,2,9,1,10,1,9,1,18,1,3,1,16,1,3,2,18,5,3,3,16,9,3,2,16,6,3,2,16,1,3,2,18,2,9,1,18,11,4,222,19,13,4,4,10,7,9,5,18,6,10,2,18,7,3,2,18,3,3,2,18,6,3,3,18,5,3,1,16,7,3,2,16,171,3,2,16,5,3,2,18,2,3,5,4,529,},
{4,412,18,1,10,58,8,4,10,6,8,11,10,1,8,16,10,35,8,7,18,2,14,1,3,6,8,1,9,1,14,1,3,1,14,1,8,1,10,5,9,1,8,3,10,3,8,1,18,1,14,2,18,2,10,6,8,1,18,1,8,3,10,14,8,3,10,5,8,1,18,2,3,1,18,1,10,3,8,2,10,3,18,1,3,7,10,2,18,2,3,1,18,1,10,2,18,3,8,1,18,2,10,11,8,1,10,16,8,1,18,5,8,1,10,6,8,2,10,4,8,1,18,1,14,1,3,1,14,1,8,1,10,6,8,2,10,59,8,1,18,3,8,1,10,2,8,2,10,7,8,2,10,5,8,1,10,53,8,5,10,3,8,6,18,2,15,1,14,2,3,1,14,2,18,1,8,1,10,53,8,11,10,1,8,5,10,19,8,3,10,62,8,3,10,8,8,2,10,77,8,10,18,3,8,2,10,5,8,2,15,4,8,1,15,1,8,3,18,1,14,3,15,3,8,9,15,11,14,9,17,2,6,1,14,4,3,5,18,1,4,1,19,4,4,46,3,1,16,1,3,2,16,4,17,5,14,6,15,2,8,1,15,4,8,3,7,2,14,12,17,1,16,4,14,2,3,14,18,2,4,7,18,1,4,1,10,1,4,1,18,10,14,4,15,2,8,1,15,2,14,15,17,1,16,2,14,2,15,1,14,4,15,1,14,2,15,2,14,2,15,1,8,2,15,2,14,3,15,1,8,3,15,1,8,2,10,1,8,1,10,2,15,1,16,4,15,1,10,1,8,1,14,1,15,2,8,4,15,1,14,2,15,6,8,2,15,5,14,4,15,1,8,4,15,2,8,6,18,4,4,1,19,3,4,99,18,1,3,4,16,9,17,1,14,1,15,2,14,3,15,3,8,3,15,5,14,4,18,1,15,1,3,2,14,1,18,10,4,51,3,5,14,4,6,1,7,1,14,2,3,1,14,2,3,5,14,1,8,2,15,1,14,1,3,1,14,1,15,2,14,2,16,2,14,6,17,1,14,9,15,6,14,5,15,1,8,2,9,2,8,1,15,2,14,7,15,2,14,4,15,3,14,5,15,8,14,5,15,4,14,3,15,4,14,6,3,3,14,2,15,1,18,1,8,2,15,4,18,1,8,1,18,3,14,2,18,2,8,1,10,3,18,1,10,9,18,2,9,5,18,10,14,1,3,11,14,1,18,2,14,2,18,4,3,2,14,1,18,5,3,1,18,2,9,1,18,2,3,4,18,1,3,2,16,44,3,2,14,1,3,2,16,1,3,1,14,1,8,1,18,2,15,3,3,1,16,7,3,1,18,2,9,2,18,2,3,2,18,2,3,6,16,6,3,2,16,2,3,2,16,3,3,2,18,1,3,2,16,2,3,1,18,6,3,2,18,2,4,229,19,13,4,5,10,1,9,1,18,3,9,1,10,2,4,8,10,1,9,1,18,3,3,2,16,1,3,5,16,1,3,3,18,1,10,3,18,2,9,1,10,2,9,1,18,1,3,2,16,5,3,1,4,2,3,1,16,171,3,3,16,2,3,5,18,4,4,530,},
{4,412,18,1,10,30,8,1,10,12,8,1,10,14,8,3,10,6,8,29,10,35,8,7,18,1,14,1,3,6,14,1,18,1,14,1,3,2,18,1,10,3,8,1,18,1,8,1,9,1,8,5,18,2,14,2,18,2,10,27,8,3,10,5,8,1,18,1,8,1,10,5,8,1,10,3,8,1,18,2,3,4,18,1,10,2,9,1,18,3,10,2,18,2,10,11,8,5,10,4,8,5,10,7,8,1,18,1,14,2,18,1,8,2,10,7,8,1,18,2,8,3,18,4,8,1,10,4,8,2,10,60,8,1,18,4,8,1,10,2,8,3,10,66,8,5,10,3,8,7,18,1,14,5,18,1,8,1,10,3,8,3,10,42,8,1,10,7,8,3,15,1,8,5,10,2,8,2,10,22,8,5,10,60,8,3,10,8,8,2,10,76,8,7,10,2,8,2,18,3,8,2,10,5,8,1,18,1,15,6,8,3,15,4,8,12,15,12,14,8,17,2,6,1,14,4,3,5,18,1,4,1,19,4,4,46,3,1,16,1,3,1,14,1,16,5,17,1,16,1,17,1,14,2,17,2,14,3,15,1,8,11,15,1,14,11,17,1,16,4,14,4,3,13,18,2,4,5,10,4,18,9,15,2,14,4,15,2,8,3,15,1,14,1,15,3,14,10,17,1,16,1,17,1,14,2,15,1,14,4,15,1,14,3,15,3,8,4,15,2,14,1,15,1,8,4,15,1,8,2,10,1,8,1,10,2,8,1,16,4,14,1,8,2,15,1,14,1,15,2,8,3,15,1,14,1,15,3,8,1,15,2,8,3,15,1,14,9,8,4,15,1,8,2,15,2,18,2,10,1,8,1,18,1,3,2,18,1,19,2,4,100,3,3,14,2,17,1,16,9,14,2,15,1,14,3,15,2,8,6,15,2,14,4,15,1,18,1,14,1,3,3,15,1,18,9,4,51,18,1,3,4,14,3,17,2,6,1,14,2,3,1,14,2,3,1,16,1,14,3,8,1,10,2,15,1,14,4,15,1,14,19,15,1,8,2,15,11,8,4,15,7,14,1,15,4,14,4,15,15,14,5,15,4,14,3,15,3,14,6,3,4,14,1,15,1,18,1,15,10,18,1,15,3,18,2,10,4,9,1,10,2,18,2,10,5,18,16,14,4,3,2,14,1,3,1,14,1,3,4,14,1,15,1,18,1,14,2,18,1,8,1,18,1,14,1,3,2,14,1,18,4,3,2,18,1,9,1,10,2,18,1,3,4,18,3,3,2,16,43,3,1,18,1,14,1,3,3,18,1,8,1,18,1,15,1,14,2,15,1,3,1,16,6,3,1,14,1,18,8,3,2,16,12,3,2,16,7,3,2,18,3,3,2,18,7,3,1,18,2,4,230,19,14,4,4,18,4,9,1,10,3,4,8,18,3,3,3,16,10,3,1,18,1,10,2,18,2,3,7,16,6,3,1,4,2,18,1,3,1,16,170,3,7,18,1,3,1,18,5,4,530,},
{4,412,18,1,10,30,8,1,10,11,8,4,10,19,8,22,10,3,8,6,10,10,8,4,10,22,8,1,18,2,8,2,18,1,14,1,3,1,14,3,3,1,14,1,8,1,18,1,3,1,16,3,14,1,10,3,18,1,14,1,18,1,9,1,10,1,9,1,8,1,15,1,3,3,14,1,18,1,8,1,10,10,8,2,10,17,8,2,10,13,8,1,10,5,18,2,3,3,18,1,10,3,8,2,10,15,8,1,18,3,8,1,10,4,8,6,10,7,8,1,18,1,14,2,18,1,8,5,10,3,8,1,18,1,3,2,14,1,18,2,8,1,10,4,8,1,10,11,8,3,10,38,8,5,10,9,8,1,18,2,8,1,10,2,8,2,18,2,8,1,10,64,8,2,18,1,8,2,10,9,8,2,18,1,15,1,14,2,15,1,18,1,8,1,10,4,8,3,10,41,8,2,10,7,8,2,15,3,8,4,10,3,8,1,10,23,8,4,10,61,8,3,10,7,8,2,10,32,8,1,10,43,8,12,18,1,8,3,10,4,8,1,15,3,8,2,15,2,8,3,15,3,8,13,15,14,14,7,17,3,14,5,3,4,18,1,4,2,19,7,4,41,18,1,3,1,16,1,3,1,14,1,3,1,16,6,17,1,6,1,14,1,17,3,14,3,8,7,15,3,8,2,15,1,7,1,15,1,14,6,17,2,16,5,17,1,14,6,3,11,18,4,4,1,18,1,10,2,8,2,18,3,14,5,15,4,14,3,15,2,8,4,15,4,14,14,15,1,14,4,15,3,14,3,15,1,8,3,15,1,8,7,10,1,8,1,15,2,8,2,15,2,10,1,8,1,16,5,14,1,15,2,14,3,15,1,8,2,15,4,8,2,15,1,8,4,15,1,14,9,8,4,15,1,8,3,15,1,14,1,18,1,10,2,18,1,3,2,18,1,4,3,18,1,3,1,4,97,3,3,14,3,17,1,16,8,14,6,15,2,8,5,18,1,15,2,14,3,15,1,18,2,15,1,3,3,14,1,18,9,4,49,19,1,4,2,3,7,16,6,3,1,17,1,16,2,14,3,15,1,8,2,7,1,14,8,15,4,14,10,15,2,8,1,15,3,14,2,15,2,8,3,15,5,8,2,15,7,14,2,15,4,14,4,15,15,14,3,15,6,14,1,15,3,14,8,3,1,16,1,3,1,14,1,15,1,8,1,15,7,14,1,15,4,8,2,18,1,8,1,10,7,18,1,9,1,10,3,4,12,18,7,14,2,15,3,14,2,15,1,14,3,3,1,14,2,15,1,14,1,15,1,18,1,8,1,18,2,3,3,18,4,3,3,18,1,10,2,18,2,3,3,18,4,3,3,16,41,3,1,18,2,3,2,14,1,8,1,9,1,18,1,15,1,14,3,3,1,16,5,3,1,14,1,18,3,9,1,18,4,3,1,16,14,3,7,16,4,3,1,18,1,4,9,18,4,4,2,19,3,4,231,19,8,4,4,18,4,10,4,4,8,18,2,3,3,16,11,3,2,18,1,3,2,16,14,3,1,18,3,3,1,16,170,3,6,18,2,10,2,18,6,4,528,},
{4,415,10,39,8,6,10,18,8,32,10,9,8,4,10,22,8,1,18,1,14,1,18,2,14,1,3,2,14,1,18,4,9,1,18,1,16,4,18,1,10,2,8,1,14,1,3,1,14,1,8,1,10,1,8,1,14,1,3,4,18,1,10,5,8,2,10,5,8,1,18,1,8,1,10,7,8,3,10,12,8,2,10,7,8,1,10,6,18,4,10,19,8,1,18,4,8,1,10,3,8,2,18,4,8,2,10,4,8,3,10,1,8,1,18,3,8,2,18,3,8,1,10,2,8,1,18,1,14,1,3,4,18,2,9,1,18,2,14,1,18,1,8,2,10,8,8,3,10,37,8,2,18,2,8,8,10,3,8,1,18,2,8,2,10,1,8,1,18,3,8,1,10,64,8,1,18,2,8,1,10,10,8,2,18,3,8,3,10,49,8,2,10,6,8,3,15,2,18,1,8,4,10,28,8,3,10,62,8,1,10,9,8,1,10,31,8,3,10,42,8,9,18,4,8,3,10,4,8,1,15,2,18,1,8,2,15,2,8,1,15,5,8,11,15,8,14,1,15,8,14,6,17,3,14,6,3,4,18,1,4,2,19,6,4,41,18,1,3,1,16,1,3,1,14,3,17,1,16,5,17,3,16,1,17,2,14,2,15,1,8,4,15,5,8,3,7,2,14,4,17,3,16,7,17,1,14,2,15,2,14,9,3,6,18,7,15,3,14,6,15,4,7,2,15,1,8,7,15,1,8,1,15,1,14,12,15,2,14,4,15,3,14,3,15,1,8,3,15,2,8,8,15,2,8,1,15,1,14,2,15,1,8,1,15,1,14,1,16,4,14,1,15,1,14,3,15,6,8,3,15,1,8,4,15,1,14,8,15,1,8,8,15,1,14,1,15,1,8,1,10,2,18,1,3,2,18,2,3,4,4,96,3,3,14,4,17,1,16,6,14,2,15,1,14,5,15,2,8,3,18,1,15,3,14,3,15,1,18,3,14,1,3,1,14,2,18,2,9,2,18,5,4,49,19,2,4,2,18,1,3,4,16,6,17,3,16,1,17,1,14,1,7,1,14,2,7,1,14,2,17,5,14,2,7,1,8,1,15,4,14,3,15,1,14,5,15,4,14,4,15,1,8,4,15,10,18,3,15,1,14,2,15,6,14,3,15,2,18,3,15,6,18,1,15,5,18,4,15,4,8,1,15,1,14,3,15,1,14,2,15,1,14,1,3,2,14,2,15,6,8,1,15,2,14,3,15,2,8,5,10,2,8,2,10,7,4,17,18,4,8,1,18,2,15,3,18,2,15,1,14,5,15,1,18,4,14,1,3,1,18,5,3,2,18,2,9,1,10,2,18,2,3,2,18,7,3,1,16,40,3,1,18,2,14,1,3,1,18,1,9,2,15,1,14,2,3,3,16,4,3,1,18,7,3,3,16,14,3,8,16,4,3,2,4,14,19,5,4,230,19,8,4,4,10,6,9,1,18,1,4,7,18,1,3,2,16,14,3,3,16,17,3,3,16,171,3,8,18,2,3,6,18,1,4,527,},
{4,406,19,5,4,5,10,1,8,2,10,13,8,1,10,21,8,6,10,17,8,30,10,3,8,1,10,31,8,1,10,2,8,2,14,2,3,3,14,1,18,1,8,4,18,1,3,1,16,2,3,1,18,1,8,1,9,1,18,1,14,1,3,2,14,1,18,1,8,1,15,1,3,3,18,2,10,4,8,1,18,4,8,1,10,3,18,2,8,1,10,19,8,2,10,1,8,2,10,1,8,1,18,1,8,1,10,1,8,2,18,1,8,1,10,6,8,1,10,17,8,1,18,3,3,2,18,2,8,1,10,4,18,2,14,1,18,2,8,2,10,2,8,6,10,2,8,1,18,1,8,2,18,6,8,1,10,1,9,1,8,1,18,2,3,9,18,1,8,1,10,49,8,8,18,2,8,1,10,3,8,1,18,3,8,3,18,3,8,1,10,64,8,1,18,2,8,1,10,10,8,1,18,1,8,2,10,51,8,3,10,6,8,6,18,2,8,4,10,27,8,3,10,106,8,1,10,34,8,1,10,7,8,7,18,6,8,9,15,1,8,3,15,2,8,1,15,1,14,4,15,6,8,5,15,7,14,5,15,3,14,8,17,3,14,5,3,5,18,1,4,2,19,6,4,42,3,1,16,1,3,1,14,4,17,1,16,4,17,4,14,8,15,7,8,2,7,2,14,5,17,2,16,8,14,2,15,3,14,8,3,9,14,1,18,6,15,1,14,7,15,4,8,2,15,7,8,2,15,2,14,9,15,2,14,5,15,3,14,3,8,2,10,1,8,2,15,1,8,3,15,3,8,2,15,1,8,1,10,1,8,1,14,1,16,1,14,1,8,1,10,1,8,1,16,4,14,1,15,1,14,3,15,2,8,5,15,3,8,5,14,2,15,3,14,3,8,10,14,2,8,1,10,3,18,3,3,5,18,1,4,95,3,1,16,1,3,1,14,4,17,1,16,6,14,1,15,2,14,5,15,10,14,1,15,1,18,6,14,2,18,2,9,2,18,5,4,6,19,2,4,41,19,3,4,2,18,2,3,2,16,5,14,6,7,2,14,1,17,2,16,4,17,2,14,3,7,1,15,5,14,3,15,1,14,2,15,2,14,2,15,2,14,3,15,3,8,2,15,10,14,1,15,2,18,2,15,2,14,1,15,3,18,2,15,2,14,2,15,2,18,1,8,1,18,1,15,4,18,4,15,2,18,6,15,1,18,1,8,3,15,1,14,2,15,1,8,1,15,2,8,1,15,1,14,9,15,1,8,2,15,1,14,4,15,2,8,4,18,5,10,2,18,3,10,1,4,2,19,2,4,15,18,2,9,1,18,1,15,1,14,2,15,1,8,2,18,1,15,1,14,5,18,4,14,1,3,1,18,9,9,1,10,3,9,1,18,10,3,1,16,39,3,1,9,1,18,1,14,1,3,1,14,1,18,2,14,1,3,2,16,7,18,1,10,1,18,1,3,2,14,2,3,1,16,17,3,6,16,1,3,3,16,3,3,1,18,1,4,9,19,9,4,230,19,8,4,4,10,6,18,3,4,6,3,1,16,16,3,2,16,192,3,5,16,6,3,3,16,2,3,3,4,525,},
{4,406,19,7,4,3,10,1,8,3,10,12,8,1,10,20,8,8,10,9,8,5,10,3,8,18,10,2,8,8,10,36,8,5,18,1,14,1,3,1,14,2,18,1,8,1,10,3,8,1,18,1,3,1,16,2,14,1,8,1,18,1,14,1,3,3,14,1,15,1,18,2,14,1,3,2,18,1,10,5,18,1,3,4,18,2,10,4,8,1,10,12,8,2,10,4,8,1,10,2,8,1,10,1,8,1,10,3,8,6,10,13,8,1,10,5,8,2,10,4,18,1,14,1,3,4,14,1,18,1,8,1,10,3,8,1,18,1,14,3,18,2,8,9,10,2,8,1,18,1,8,2,18,4,3,4,14,1,18,2,3,2,16,5,3,3,18,1,8,1,10,50,8,3,10,1,8,3,18,2,8,5,18,8,8,1,10,8,8,2,10,55,8,3,10,10,8,1,18,2,8,2,10,48,8,5,10,5,8,4,18,1,8,4,18,1,8,2,10,1,8,2,10,27,8,2,10,148,8,3,10,3,8,2,18,2,14,1,15,1,18,2,8,4,18,1,15,2,8,2,18,1,8,3,15,2,8,2,15,1,14,4,15,6,8,4,15,7,14,6,15,1,14,10,17,2,14,5,3,3,14,1,3,2,18,1,4,2,19,5,4,42,3,1,16,1,3,1,14,5,17,1,16,3,17,2,16,1,17,1,14,3,17,4,14,2,15,2,8,1,15,4,8,1,15,1,14,7,6,1,17,1,16,7,14,2,7,1,15,9,14,3,3,1,14,2,3,5,14,14,15,3,8,4,15,1,14,3,15,2,8,8,15,7,14,2,17,1,14,2,15,2,14,4,8,4,15,2,8,2,15,1,14,2,15,2,8,1,15,1,8,1,10,1,8,1,16,3,14,1,10,1,8,1,16,8,14,1,8,1,15,2,8,2,15,2,14,2,15,2,8,4,15,3,8,2,15,1,14,1,15,1,8,10,15,2,8,1,10,4,18,2,3,8,4,93,3,1,16,1,3,1,14,4,17,1,16,2,17,2,16,1,17,1,14,1,15,2,14,5,15,13,18,3,9,1,18,2,14,1,18,10,4,4,19,5,4,39,19,4,4,3,18,1,3,1,16,3,3,1,14,2,7,2,14,3,7,2,14,1,16,6,17,1,14,8,15,2,14,2,15,2,14,2,15,2,14,6,15,1,18,1,15,1,18,1,8,1,18,1,14,2,15,8,14,2,15,1,18,1,15,7,8,2,18,1,15,5,18,4,15,3,18,12,14,1,18,1,9,1,10,1,9,1,15,1,14,2,8,2,15,1,8,3,14,9,15,1,8,2,15,3,14,3,15,2,8,1,10,1,8,1,18,7,3,2,18,2,4,2,19,3,4,9,19,3,4,2,18,2,8,1,18,1,14,3,15,1,18,1,9,1,8,1,15,1,14,1,3,2,14,3,18,15,9,1,10,3,9,1,18,4,3,2,18,4,3,1,16,38,18,1,10,1,18,1,14,1,3,1,14,1,18,2,14,1,3,1,16,3,3,3,16,1,3,1,9,1,10,1,18,1,3,1,14,2,3,1,16,17,3,15,18,1,4,9,19,9,4,231,19,7,4,5,10,4,18,1,3,5,18,1,4,2,18,1,3,1,16,15,3,3,16,192,3,5,16,7,3,2,16,2,3,3,4,525,},
{4,406,19,8,4,2,10,1,8,3,10,11,8,1,10,11,8,1,10,9,8,8,10,8,8,7,10,3,8,17,10,2,8,4,18,1,8,3,10,37,8,10,10,4,8,2,14,1,16,2,3,1,14,1,3,2,16,2,14,1,8,1,9,1,8,1,14,2,8,1,10,5,9,1,18,1,3,2,16,1,3,2,18,1,8,1,10,11,8,1,10,5,8,2,10,6,8,2,10,2,8,1,10,1,8,2,10,1,8,2,10,15,8,2,10,3,8,3,18,1,8,1,10,2,18,1,3,2,16,1,3,2,18,3,8,3,18,6,14,2,18,1,8,6,10,2,8,1,18,3,8,2,18,2,3,1,16,13,3,2,18,2,8,5,10,6,8,2,10,45,8,1,18,2,8,5,18,6,8,2,10,4,8,5,18,2,8,1,10,50,8,3,10,1,8,3,10,9,8,1,15,2,18,3,8,1,10,47,8,5,10,4,8,3,18,3,8,4,18,1,8,1,10,2,8,2,10,176,8,3,10,4,8,2,18,1,15,3,18,1,8,6,15,2,18,2,15,4,14,2,8,3,15,1,14,2,15,3,14,1,15,3,8,4,15,3,14,10,15,1,14,1,15,1,14,9,17,1,14,6,3,1,14,4,3,1,18,1,4,3,19,6,4,39,3,3,14,5,17,1,16,3,17,2,16,1,17,1,7,2,14,1,16,4,17,1,14,1,15,1,8,4,15,4,14,9,17,2,16,1,17,4,14,1,7,3,15,10,14,16,15,2,14,6,15,2,8,4,15,1,14,4,15,1,8,9,15,1,8,1,15,2,14,4,17,2,14,1,15,2,14,4,8,2,15,1,14,2,15,1,8,3,15,1,8,4,15,1,8,1,10,1,8,1,16,4,14,1,16,9,3,1,8,1,15,5,14,5,15,7,8,2,15,1,14,1,15,1,8,4,10,2,8,8,10,3,8,1,18,1,3,8,18,1,4,2,19,3,4,87,3,1,16,1,3,1,14,4,17,1,16,2,17,1,14,1,17,1,14,1,15,3,14,6,15,8,18,3,15,3,18,1,9,2,18,1,3,1,14,1,18,12,4,1,19,6,4,39,19,5,4,1,18,1,3,1,16,1,3,3,14,5,17,1,14,1,7,2,14,1,16,4,17,1,6,1,14,1,7,3,14,8,15,3,14,2,18,2,14,6,18,1,8,2,18,2,15,1,14,3,18,7,14,2,18,3,15,6,18,4,15,3,18,6,15,3,18,11,14,1,18,1,9,1,10,1,9,1,18,1,14,2,8,1,9,1,18,1,8,1,9,1,8,1,15,1,14,9,15,1,8,1,15,6,14,1,15,1,8,1,10,1,8,2,18,4,14,1,3,4,18,1,4,2,19,5,4,7,19,4,4,1,18,4,14,1,3,2,14,1,18,1,8,1,18,1,14,6,3,1,14,2,18,15,9,1,10,2,8,1,18,4,3,1,18,3,9,1,3,2,16,21,3,3,16,12,3,1,9,1,10,1,9,1,18,1,14,1,18,3,15,1,3,2,16,2,3,1,14,2,3,2,8,1,9,1,14,2,8,1,18,1,3,1,16,16,3,3,16,4,3,3,18,1,3,1,18,2,4,11,19,5,4,239,19,4,4,6,10,3,18,1,3,1,16,1,3,4,18,2,3,2,16,15,3,3,16,193,3,13,16,1,3,2,18,2,4,525,},
{4,406,19,8,4,2,10,27,8,2,10,8,8,8,10,8,8,7,10,1,8,17,10,5,8,6,10,38,8,3,10,11,8,1,18,1,3,6,16,3,14,1,8,1,9,1,8,1,15,1,18,1,10,3,18,2,3,4,16,2,3,2,18,1,8,1,10,11,8,1,10,5,8,1,10,7,8,2,10,2,8,1,10,1,8,2,10,13,18,4,8,3,10,3,8,3,18,1,8,1,10,2,8,1,14,1,3,1,16,2,3,1,18,1,8,1,18,4,14,3,18,2,14,1,3,2,14,1,8,5,10,2,8,2,18,3,8,2,18,2,3,1,16,12,3,1,18,2,8,1,10,11,8,4,10,45,8,9,18,4,8,1,10,5,8,5,18,3,8,1,10,47,8,5,10,7,8,3,10,2,8,1,18,1,14,2,8,2,18,1,8,2,10,47,8,4,10,4,8,2,18,1,15,2,18,1,8,6,10,112,8,5,10,53,9,2,10,6,8,1,10,8,8,3,18,4,8,5,18,1,15,8,14,1,15,2,8,2,15,1,14,2,15,2,14,3,15,2,8,4,15,2,14,5,15,10,14,8,17,1,14,5,17,1,14,5,3,2,18,1,4,3,19,6,4,38,18,1,3,4,14,4,17,1,16,2,17,4,14,3,16,4,17,1,14,1,15,1,8,4,15,2,8,1,15,1,14,9,17,6,6,1,14,1,7,8,15,3,8,1,15,1,14,12,17,3,14,2,15,1,14,6,15,3,8,3,15,2,14,3,15,1,8,6,10,1,8,4,15,2,14,7,15,1,8,1,14,4,15,2,14,3,15,1,8,7,15,1,14,1,8,1,10,1,8,1,16,14,3,1,15,5,14,5,15,5,8,2,15,2,8,2,15,2,8,5,10,1,8,8,10,2,8,3,18,1,14,1,3,1,18,1,3,5,4,2,19,4,4,86,3,4,14,3,17,2,14,6,15,2,14,6,15,8,18,7,9,1,18,1,3,6,18,9,4,1,19,6,4,39,19,6,4,1,3,1,16,1,3,3,14,2,7,1,14,1,17,1,16,1,17,1,14,1,7,1,14,1,17,1,16,2,17,1,6,1,7,5,14,1,17,2,14,5,15,2,14,3,18,2,15,1,14,3,15,1,18,5,15,1,14,3,15,1,18,1,8,1,18,5,15,2,18,2,15,1,14,1,15,6,18,2,15,6,18,3,15,1,14,2,15,1,18,10,14,2,15,1,18,1,9,1,8,1,18,3,9,2,18,2,8,3,15,3,14,6,15,4,8,7,10,2,8,1,18,1,15,1,18,1,14,1,3,5,18,1,4,3,19,5,4,6,19,4,4,1,18,3,15,1,14,1,3,2,14,1,18,1,8,1,18,1,14,3,15,1,14,2,3,2,14,1,18,13,14,1,18,1,8,1,10,1,9,1,18,9,10,1,18,1,3,3,16,5,3,2,16,9,3,3,18,3,3,2,16,11,9,1,10,1,18,1,14,2,18,4,14,1,3,3,14,3,3,1,14,1,8,1,9,1,18,1,15,1,8,1,18,1,3,1,16,16,3,2,16,5,3,3,18,4,4,13,19,4,4,238,19,5,4,5,10,3,18,1,16,5,3,2,18,1,3,1,16,15,3,3,16,196,3,5,18,2,3,6,18,3,4,525,},
{4,116,19,1,4,289,19,7,4,3,10,25,8,1,10,2,8,2,10,6,8,9,10,8,8,23,10,52,8,1,10,12,18,1,3,2,16,2,3,2,16,3,3,2,15,2,8,1,10,3,8,1,3,1,16,6,3,3,18,2,8,1,10,13,8,3,10,9,8,1,10,20,18,1,3,1,16,1,3,1,18,1,10,8,8,1,10,4,8,1,3,1,16,2,3,1,18,1,8,1,18,2,14,2,3,3,14,1,18,1,3,3,15,1,8,5,10,3,8,4,18,5,3,3,16,8,3,2,18,3,8,1,10,6,8,3,10,3,8,3,10,45,8,1,18,2,8,2,10,3,8,1,18,2,8,2,10,5,8,4,18,2,14,1,18,1,8,1,10,47,8,1,18,3,8,1,10,6,8,1,18,2,8,1,10,2,8,1,14,3,8,1,10,1,8,3,10,48,8,3,10,3,8,2,18,1,15,2,18,1,8,5,10,68,8,3,10,21,8,2,10,18,8,7,10,60,8,1,10,7,8,6,18,5,15,16,8,1,15,1,14,2,15,1,8,1,15,1,14,2,15,2,8,3,15,2,14,5,15,12,14,13,17,1,14,5,3,4,18,1,4,2,19,5,4,39,18,1,3,4,14,3,17,3,6,2,17,2,16,5,17,1,16,1,17,1,14,2,8,3,15,1,14,1,15,1,8,2,15,1,14,7,17,7,6,2,14,1,7,3,8,3,15,7,14,21,15,2,7,2,15,2,8,3,15,4,8,10,15,3,14,8,8,2,14,9,15,1,8,2,15,2,8,3,15,1,14,1,8,1,10,1,8,1,16,14,3,1,15,1,14,1,15,3,14,3,15,2,8,1,15,3,8,3,15,1,14,1,15,4,8,13,10,1,8,2,18,2,8,2,18,1,3,7,4,2,19,4,4,28,3,2,4,57,3,3,14,3,17,1,14,4,17,1,14,2,15,2,14,6,15,7,18,8,9,1,18,1,3,1,16,4,3,1,18,1,9,1,18,5,3,2,4,1,19,6,4,40,19,5,4,1,3,1,16,2,3,1,16,1,3,1,14,1,7,1,14,1,17,1,16,2,6,1,7,2,6,1,17,2,6,1,14,5,7,1,14,1,16,1,17,1,14,1,15,1,14,3,15,2,14,2,15,1,18,3,14,2,15,1,18,2,14,7,18,3,8,2,18,4,15,1,18,3,14,3,15,2,14,6,15,8,14,4,15,1,18,8,15,1,14,1,3,1,14,2,18,4,8,1,9,1,8,1,18,1,15,1,8,5,15,2,14,8,15,1,8,1,10,5,8,2,10,1,8,1,18,1,15,1,18,1,14,1,3,3,14,1,3,1,18,2,4,2,19,15,4,1,18,1,15,3,14,1,3,1,14,1,15,1,8,1,9,1,18,1,14,2,18,4,14,3,18,11,9,2,18,2,9,1,10,1,9,1,18,9,9,1,18,2,3,1,18,1,3,2,16,2,3,3,16,7,3,1,18,1,4,8,3,2,16,9,9,1,10,1,18,1,3,2,14,1,18,2,8,1,15,1,3,2,14,1,18,1,3,3,18,1,9,1,10,1,18,1,14,1,15,1,18,5,3,2,16,10,3,3,16,5,3,4,18,2,3,6,18,1,4,1,18,1,4,7,19,2,4,238,19,6,4,4,10,3,18,1,16,2,3,2,16,2,3,3,16,15,3,1,18,1,3,1,16,17,3,1,16,182,3,10,18,2,4,525,},
{4,115,19,1,3,1,19,1,4,288,19,7,4,2,18,1,10,10,8,2,10,12,8,2,10,2,8,2,10,5,8,11,10,7,8,15,10,8,8,2,10,1,8,4,10,56,8,2,14,1,3,1,16,3,3,7,14,1,15,1,8,1,10,1,9,1,15,1,3,1,16,7,3,2,18,2,8,2,10,12,8,4,10,16,8,1,10,12,8,1,18,1,3,3,18,1,8,1,10,1,8,2,10,10,18,1,3,3,18,1,8,2,18,2,14,1,3,2,14,1,18,2,14,1,3,1,14,1,18,1,8,5,10,5,8,6,18,4,3,1,16,6,3,6,18,1,8,1,10,3,8,3,10,6,8,2,10,45,8,1,18,2,8,1,10,5,8,3,10,10,8,1,18,1,14,1,18,1,8,1,10,46,8,1,18,3,8,2,10,6,8,2,18,1,8,3,18,1,14,2,15,1,8,1,10,52,8,3,10,3,8,3,15,2,8,6,10,68,8,4,10,3,8,3,10,14,8,2,10,18,8,7,10,60,8,2,10,5,8,1,18,3,8,3,18,3,15,6,8,1,18,1,15,3,8,5,15,2,8,1,15,1,14,2,8,2,14,3,15,3,8,3,15,2,14,3,15,14,14,18,3,5,18,1,4,2,19,4,4,40,3,1,16,2,3,1,14,6,6,1,17,2,16,5,17,1,14,1,17,1,14,3,15,3,14,3,8,2,15,1,14,7,17,5,6,2,17,2,6,1,14,1,7,2,8,3,15,7,8,3,15,1,14,18,15,6,8,1,15,2,8,8,15,2,8,1,15,1,14,12,8,2,14,8,15,2,8,1,15,3,8,3,15,1,14,1,8,1,10,1,8,1,16,7,3,1,16,6,14,3,15,7,8,4,15,1,8,3,15,1,14,2,15,2,8,13,10,1,8,2,18,3,8,2,18,3,3,5,18,1,4,1,19,4,4,27,3,3,19,1,4,57,3,1,16,1,3,1,14,18,15,7,18,9,14,1,3,1,16,3,3,2,18,9,4,3,19,4,4,40,19,6,18,1,3,3,16,2,14,3,16,3,17,1,14,3,17,2,14,1,7,1,14,2,6,1,14,3,17,1,14,2,15,1,14,2,15,6,18,4,14,1,15,1,18,2,14,1,3,2,14,3,18,4,8,2,18,4,15,2,18,2,15,1,14,1,15,3,14,6,15,1,14,11,15,1,18,7,15,1,14,2,3,2,14,3,18,2,8,1,9,1,8,1,15,2,18,1,8,4,15,3,14,8,8,1,10,6,8,4,15,2,14,1,3,3,14,1,3,2,18,1,4,2,19,15,4,1,18,2,14,1,15,1,14,3,18,2,9,1,18,4,8,2,18,15,10,2,18,2,8,2,18,14,10,1,9,1,18,1,3,3,18,2,3,1,16,6,3,1,4,10,3,1,16,9,18,1,10,1,18,1,3,2,14,2,15,1,18,2,3,2,14,2,3,2,15,1,18,1,8,2,18,1,15,1,14,2,18,1,10,4,18,2,3,1,16,8,3,1,18,1,3,1,16,5,3,4,18,1,3,1,16,6,3,4,4,7,19,1,4,238,19,6,4,4,18,1,8,2,18,1,3,4,16,2,3,1,18,1,3,1,16,15,3,1,18,1,3,1,16,18,3,1,16,182,3,2,16,4,3,5,18,1,4,524,},
{4,116,19,1,4,289,19,6,4,4,10,9,8,4,10,11,8,3,10,8,8,11,10,5,8,14,10,10,8,5,18,1,8,2,10,53,8,2,10,1,9,1,18,1,3,2,16,2,3,2,14,1,3,5,14,1,9,1,10,1,18,1,3,1,16,9,3,2,18,1,8,1,10,1,8,2,10,3,8,2,10,7,8,2,10,30,8,1,18,7,8,7,10,5,8,1,18,1,8,8,14,2,8,2,18,1,14,1,18,2,8,6,10,5,8,3,10,2,8,2,18,3,3,2,16,5,3,4,16,2,3,1,18,1,10,2,18,3,10,7,8,2,10,45,8,1,18,2,8,1,10,5,8,1,10,12,8,1,18,3,8,1,10,45,8,1,18,4,8,1,10,3,8,2,10,4,8,3,18,1,15,3,8,2,10,1,8,1,10,49,8,2,10,3,8,5,18,2,8,6,10,76,8,2,10,12,8,1,10,20,8,6,10,63,8,2,10,3,8,1,18,2,15,1,18,1,8,3,15,4,8,1,15,4,8,2,15,2,8,9,15,3,8,1,15,1,14,5,15,3,8,2,15,9,8,1,15,8,14,20,3,5,18,1,4,2,19,2,4,40,3,1,16,2,3,1,14,4,7,2,17,1,16,8,17,1,16,1,17,1,14,4,15,1,14,3,15,3,14,1,15,1,14,3,15,2,14,1,17,3,14,4,17,2,14,2,7,1,8,3,15,1,14,2,15,1,8,2,15,1,8,4,14,20,15,7,8,8,15,1,14,8,15,1,14,5,15,3,14,5,15,10,8,5,10,1,8,1,16,5,3,1,8,1,10,1,8,1,14,1,16,3,3,1,14,1,15,5,8,2,15,2,14,1,15,1,8,4,15,2,14,2,15,2,8,9,15,1,14,1,15,1,8,10,10,3,8,1,14,1,3,1,14,1,3,2,18,1,4,1,19,3,4,26,3,2,4,2,3,2,18,1,4,55,3,1,16,3,17,1,14,1,7,1,14,14,15,1,18,1,15,4,18,7,14,2,18,1,14,1,3,1,16,2,3,2,18,1,14,4,18,4,4,56,18,1,3,2,16,1,3,1,14,2,17,1,16,2,14,7,7,1,14,11,15,1,18,1,15,1,18,1,15,1,14,2,18,5,15,1,18,1,15,1,3,2,14,2,18,2,15,1,14,2,18,7,14,4,18,4,15,1,14,5,15,2,14,1,3,1,14,4,15,1,14,1,3,2,14,1,18,5,14,4,18,2,14,1,3,2,14,4,18,1,8,2,18,5,15,3,18,2,15,1,14,2,3,2,14,4,8,1,10,5,9,1,8,1,15,1,8,2,15,1,14,2,3,1,14,3,3,1,18,1,4,7,19,10,4,1,18,1,3,3,18,26,9,1,10,2,8,1,18,28,3,5,18,1,4,8,18,3,3,8,14,1,18,2,14,2,3,3,15,2,3,5,15,1,8,2,18,1,15,1,18,1,15,1,14,2,18,2,14,1,18,1,8,1,9,1,18,2,3,12,16,2,3,2,16,1,3,5,16,9,3,1,18,1,4,245,19,6,4,3,18,3,14,5,3,1,16,1,3,1,4,2,3,1,16,15,3,1,18,1,3,1,16,19,3,2,16,188,3,4,18,1,4,523,},
{4,406,19,6,4,3,18,1,10,7,8,1,10,2,8,2,10,11,8,5,10,7,8,13,10,3,8,7,10,1,8,5,10,11,8,3,18,3,8,5,10,24,8,3,10,23,8,1,18,1,8,1,18,1,3,4,16,2,14,1,8,1,18,1,14,1,3,3,18,1,10,1,18,1,3,1,16,10,3,3,8,1,10,1,8,1,18,1,8,5,10,7,8,1,10,9,8,2,10,15,8,1,10,3,18,3,8,1,10,1,8,1,18,1,3,2,18,1,8,1,18,4,8,1,10,9,8,2,18,1,8,3,18,1,8,1,10,2,18,3,8,7,10,5,8,2,10,3,8,2,18,3,3,2,16,6,3,1,16,5,3,1,18,1,9,1,14,1,3,1,18,1,10,4,8,1,10,2,8,2,10,45,8,4,10,11,8,1,10,7,8,1,18,2,8,2,10,43,8,1,18,4,8,2,10,3,8,3,10,4,8,1,18,1,15,2,18,1,8,5,10,7,8,2,10,3,8,2,10,35,8,2,10,3,8,12,10,23,8,3,10,112,8,4,10,39,8,6,18,2,15,1,18,1,8,3,15,3,18,1,8,2,15,3,8,12,15,5,14,7,15,1,8,4,15,12,14,3,15,3,14,5,3,1,14,15,3,4,18,1,4,1,19,2,4,40,3,1,16,3,14,4,7,2,17,1,16,3,17,2,16,2,17,4,14,4,15,2,14,6,15,2,14,1,15,1,8,1,15,1,14,1,17,3,14,8,7,1,8,3,15,1,7,2,15,1,8,4,10,2,8,1,15,1,7,1,14,1,15,2,14,17,15,8,8,5,15,1,14,22,15,4,14,1,15,8,8,2,10,1,8,1,14,1,16,4,8,1,10,3,8,1,14,1,3,1,14,3,15,3,14,1,15,1,8,3,15,1,14,1,15,1,8,4,15,1,14,1,15,3,8,9,15,1,14,3,8,10,10,4,18,4,3,2,4,30,3,2,4,2,3,3,18,1,4,55,3,3,14,16,15,2,18,1,15,4,18,1,8,2,18,4,3,2,18,2,3,4,18,2,3,4,18,4,4,57,18,1,3,3,17,1,14,2,16,2,14,7,7,2,14,5,15,2,14,2,15,1,18,10,14,1,3,2,14,2,3,2,14,1,18,1,9,1,18,1,14,1,3,1,14,1,18,8,15,1,14,1,18,2,9,1,18,2,15,1,14,4,15,1,18,2,14,1,3,1,14,4,18,2,14,1,3,1,14,6,3,3,14,1,18,2,14,2,3,2,14,1,18,3,8,1,18,5,15,2,18,3,8,2,15,1,14,8,8,1,10,5,15,2,8,3,15,1,14,6,18,2,4,6,19,6,4,1,19,3,4,2,18,1,3,2,18,25,10,3,8,2,18,25,10,4,18,2,3,2,18,5,4,1,18,4,10,2,9,1,8,1,18,2,8,1,18,2,14,2,15,1,18,2,15,1,14,1,3,2,14,3,3,1,16,1,3,1,14,1,8,1,9,1,8,1,14,2,15,1,18,1,15,1,14,2,3,1,16,1,3,1,14,1,18,3,9,1,10,1,9,2,10,1,9,1,18,1,3,2,16,5,3,2,16,1,3,4,16,10,3,2,4,245,19,6,4,2,18,6,8,2,18,1,3,3,4,2,18,1,3,1,16,13,3,1,18,1,4,1,3,1,16,19,3,1,18,1,3,1,16,174,3,1,16,13,3,3,18,1,4,523,},
{4,406,19,6,4,3,10,7,8,2,10,14,8,6,10,6,8,14,10,2,8,6,10,4,8,5,10,10,8,4,18,1,8,10,10,19,8,3,10,4,8,1,10,21,18,1,3,1,16,2,3,2,16,2,18,1,10,2,18,1,14,2,8,1,9,2,3,1,16,13,3,1,18,1,10,1,8,2,18,2,8,3,10,16,8,3,10,18,18,8,3,2,14,1,18,5,8,2,10,4,8,3,18,2,14,3,18,1,8,1,18,1,8,1,10,1,8,1,18,5,8,7,10,2,8,4,10,1,8,2,18,4,3,1,16,14,3,3,14,1,18,1,10,3,8,3,10,1,8,1,10,14,8,1,10,31,8,7,10,3,8,2,18,3,8,3,10,7,8,5,10,40,8,2,18,5,8,6,10,4,8,2,18,1,15,1,18,1,8,4,10,8,8,2,10,41,8,1,10,4,8,8,10,28,8,1,10,24,8,1,10,88,8,2,10,41,8,7,18,3,8,3,15,4,18,2,15,4,8,3,15,10,14,9,15,2,8,4,15,2,14,1,15,2,14,2,15,6,14,27,3,4,18,1,4,11,19,2,4,29,3,1,16,3,14,6,17,1,16,2,17,1,14,2,17,1,16,1,14,2,17,3,14,3,8,3,15,1,14,8,15,2,14,8,7,5,15,1,8,2,15,5,8,2,10,3,8,2,15,8,14,13,15,6,14,1,15,2,8,3,15,1,14,4,15,1,8,3,14,16,15,2,14,2,15,1,8,3,15,3,14,1,15,2,8,2,15,1,14,1,16,2,14,1,8,1,10,4,8,5,15,2,14,2,15,1,8,3,15,3,8,3,15,3,8,2,15,2,8,2,15,1,8,2,10,1,8,3,15,1,14,2,7,1,8,7,18,1,8,3,10,2,8,1,18,3,3,2,18,1,4,4,19,1,4,24,3,2,4,3,3,3,4,56,18,2,14,16,15,2,18,1,15,5,18,4,9,1,18,1,3,2,18,7,3,5,15,1,18,7,4,54,18,1,3,2,17,1,14,2,16,1,17,1,14,7,7,2,14,8,15,2,18,1,15,1,14,1,18,3,4,2,18,2,3,8,15,1,18,2,14,3,18,11,9,2,18,2,15,1,14,3,15,1,18,3,15,1,14,3,15,1,18,4,14,2,3,4,14,3,3,2,14,4,3,2,18,2,9,3,18,2,14,3,15,1,18,3,8,4,15,2,14,6,15,3,8,1,10,2,8,1,15,1,8,3,15,1,14,6,18,3,4,4,19,7,4,2,19,3,4,1,18,28,10,2,8,1,18,1,8,1,18,5,8,2,18,19,9,3,18,1,3,4,18,10,8,2,18,9,8,2,18,1,14,6,3,3,14,1,8,2,18,1,14,2,15,1,18,2,14,1,3,1,16,3,3,1,14,1,3,2,18,1,9,2,10,3,18,1,3,1,16,7,3,5,16,7,3,5,4,248,19,4,4,3,18,3,8,1,10,3,18,1,3,2,18,1,4,3,3,1,16,13,3,1,4,2,3,1,16,14,3,3,16,1,3,1,18,2,3,1,16,176,3,7,16,4,3,4,18,1,4,523,},
{4,406,19,5,4,3,10,8,8,1,10,14,8,3,18,2,8,2,10,5,8,15,10,3,8,3,10,7,8,4,10,10,8,9,18,3,8,3,10,4,8,2,10,10,8,12,10,16,9,2,10,2,14,1,16,3,3,4,10,3,8,1,18,2,10,1,9,1,18,1,3,1,16,13,3,1,18,1,10,1,18,2,14,1,18,1,8,1,10,18,8,2,10,18,8,1,18,8,3,2,18,8,8,2,10,2,8,1,18,2,14,1,3,4,14,1,18,1,8,4,18,10,8,7,10,2,8,1,18,5,3,3,16,13,3,2,18,1,8,1,10,3,8,2,10,10,8,1,10,6,8,1,10,32,8,2,18,2,8,2,10,3,8,1,18,5,8,1,10,3,8,1,10,5,8,2,18,1,8,2,10,39,8,2,18,7,14,1,18,1,8,1,10,3,8,3,18,3,8,5,10,7,8,2,10,9,8,3,10,35,8,8,10,79,8,1,10,105,8,8,18,2,8,3,18,1,15,10,8,2,15,1,14,17,15,3,8,3,15,2,14,9,15,3,14,28,3,4,18,2,3,1,18,1,4,6,19,5,4,27,18,1,3,4,14,5,6,1,17,3,14,2,17,2,14,8,8,3,14,19,7,1,15,7,8,2,15,2,8,2,10,5,8,2,15,9,14,12,15,4,14,3,15,4,14,5,15,1,8,1,10,1,8,1,15,1,14,19,15,1,8,1,15,2,14,6,15,1,8,3,15,1,14,1,15,1,8,4,10,5,8,1,15,2,14,3,15,6,8,1,15,5,8,2,15,6,8,1,10,1,8,3,15,1,14,3,7,1,8,4,15,2,18,2,14,1,18,1,8,2,10,1,8,2,14,1,3,3,18,1,4,3,19,4,4,21,18,2,4,3,18,1,3,2,4,57,18,2,14,1,17,1,16,1,17,2,16,2,17,1,14,4,15,1,14,1,15,3,18,2,15,4,18,4,9,1,18,1,14,1,3,1,18,2,9,1,10,1,9,1,18,2,3,2,16,1,3,2,15,1,18,11,4,51,18,1,3,2,14,2,3,2,14,13,3,1,14,2,15,1,18,3,14,2,18,2,4,3,18,2,3,8,14,1,18,2,14,2,15,1,18,7,8,1,9,5,18,3,15,1,14,2,18,5,14,3,18,6,14,1,3,3,14,1,18,3,14,1,3,3,14,2,3,1,18,2,9,1,10,2,9,1,18,3,14,1,18,7,8,2,18,2,15,2,14,8,9,2,15,2,8,4,15,1,14,3,15,2,18,4,4,2,19,8,4,2,19,3,4,2,18,4,3,1,18,22,10,2,8,1,18,1,8,1,18,12,8,1,18,17,3,4,14,1,18,6,14,1,18,12,8,3,18,2,15,1,14,5,3,1,14,1,18,1,8,2,18,1,14,2,18,2,8,1,14,1,3,1,16,3,3,4,14,1,9,3,18,2,3,1,16,8,3,5,16,5,3,3,18,4,4,248,19,4,4,4,18,2,10,4,8,1,18,1,3,1,4,4,3,1,16,13,3,1,4,2,18,1,3,1,16,12,3,2,18,1,3,3,18,1,9,1,18,1,3,2,16,3,3,6,16,165,3,3,18,2,3,11,4,523,},
{4,134,19,2,4,269,19,5,4,4,10,3,8,2,10,11,8,2,10,5,8,3,18,1,8,2,10,6,8,15,10,15,8,1,10,13,8,3,10,2,8,7,10,6,8,4,10,6,8,9,10,4,8,2,10,8,18,2,10,3,8,1,3,3,18,1,3,6,18,1,10,3,8,1,18,1,9,2,18,2,3,2,16,12,3,1,18,1,10,1,8,1,3,2,14,1,18,1,8,1,10,18,8,2,10,18,8,1,18,10,8,2,18,2,14,3,18,2,8,1,10,3,8,1,18,1,14,1,3,4,14,1,18,1,8,1,10,1,8,3,18,10,8,4,10,4,8,1,18,4,8,1,10,1,8,1,18,1,3,1,16,2,3,4,16,6,3,1,18,1,9,1,10,2,8,4,10,9,8,2,10,6,8,1,10,32,8,2,18,1,8,3,10,3,8,1,18,5,8,1,10,2,8,3,10,4,8,5,10,34,8,7,18,6,14,3,10,3,8,1,18,1,15,2,18,2,8,7,10,6,8,2,10,9,8,2,10,35,8,4,15,2,8,4,10,185,8,1,10,3,8,2,18,2,8,5,15,10,8,1,15,2,14,16,15,9,14,2,15,1,14,35,15,3,14,1,3,6,4,4,19,7,4,29,18,1,3,4,14,3,7,1,14,1,17,4,16,2,14,8,15,1,8,1,14,3,3,2,14,16,15,2,14,3,15,2,8,6,10,5,8,2,15,1,14,3,15,5,14,3,15,1,14,9,15,2,14,5,15,3,14,5,8,2,10,2,15,1,14,19,15,2,14,9,15,1,8,2,15,2,8,7,10,3,8,1,15,2,14,5,15,3,8,2,15,1,14,2,15,1,8,3,15,4,14,1,15,1,8,1,10,1,8,3,15,1,14,3,7,1,8,4,15,4,14,2,8,2,10,2,8,1,14,2,3,4,18,1,4,2,19,4,4,24,18,1,3,3,4,58,18,1,14,1,17,1,16,1,17,1,16,5,14,4,15,5,18,1,15,6,18,2,8,1,18,1,14,2,18,1,8,1,9,3,18,2,3,5,18,12,4,52,18,1,3,11,14,6,3,3,14,1,18,4,14,1,3,1,18,1,4,4,18,2,3,8,14,1,18,2,14,2,15,1,18,3,14,2,18,3,8,3,9,1,18,3,9,2,18,1,14,1,18,5,14,3,18,14,14,1,3,4,18,5,9,2,18,2,8,1,9,1,18,2,8,1,18,3,14,1,18,7,14,4,18,2,3,1,14,1,18,1,8,1,15,1,14,1,15,1,8,3,15,1,14,1,7,1,15,3,18,1,3,3,18,1,4,1,19,8,4,2,19,4,4,1,18,16,3,2,18,9,10,2,9,1,8,3,18,11,8,1,18,17,14,5,18,2,8,1,18,2,15,3,18,4,15,1,18,3,15,2,18,2,8,2,18,1,15,1,14,4,18,2,14,2,18,1,8,2,18,1,14,2,15,1,18,2,14,1,3,1,16,3,3,1,14,1,3,2,14,1,18,1,9,1,18,1,3,1,16,9,3,2,16,2,3,2,16,5,3,4,18,1,3,2,18,1,4,3,18,1,3,3,18,1,4,239,19,5,4,2,18,4,10,3,8,1,18,2,4,3,18,1,3,1,16,13,18,1,4,3,3,3,16,9,3,1,18,1,9,1,10,1,9,1,3,2,9,1,10,1,9,1,18,2,3,3,18,2,4,3,18,1,3,1,16,161,3,2,16,2,3,15,18,1,4,522,},
{4,405,19,5,4,4,10,3,8,2,10,6,8,8,10,2,8,8,10,6,8,15,10,37,8,3,10,7,8,4,10,8,8,6,10,4,8,4,10,6,8,1,18,2,10,3,3,2,16,1,3,7,18,1,10,4,18,3,9,1,18,1,3,2,16,13,3,1,18,1,8,1,18,1,3,2,18,1,8,2,10,12,8,1,10,4,8,3,10,6,8,3,10,4,8,2,10,3,8,5,18,5,8,3,18,2,14,4,18,1,8,1,10,3,8,1,18,1,14,2,3,2,14,1,18,1,8,1,10,2,8,1,18,1,8,3,18,9,8,3,10,4,8,2,18,2,8,1,10,4,3,7,16,4,3,3,18,1,10,1,8,2,18,1,8,2,10,9,8,3,10,6,8,1,10,24,8,2,10,3,8,8,10,4,8,2,18,4,8,1,10,2,8,5,10,2,8,4,10,34,8,7,18,3,8,3,18,1,14,1,3,1,14,1,10,2,8,1,15,1,14,3,15,1,8,11,10,3,8,1,10,45,8,6,15,2,8,5,10,86,8,4,10,98,8,2,18,1,15,1,8,5,18,1,15,3,18,1,15,8,14,14,15,10,14,2,15,3,14,1,3,1,14,19,15,1,14,12,15,4,14,1,3,5,18,1,4,3,19,8,4,28,18,1,3,3,16,1,3,1,14,2,7,2,14,3,17,1,16,1,17,1,14,8,15,2,14,4,3,1,14,3,17,1,14,16,15,4,8,4,10,6,8,2,15,1,14,4,15,4,14,2,15,4,14,7,15,1,14,13,15,1,8,5,15,7,14,12,15,1,14,3,3,1,14,6,15,1,8,3,15,1,8,12,15,1,14,7,15,1,8,2,15,2,14,1,15,1,8,3,15,4,14,2,8,6,15,1,14,3,8,5,15,2,14,3,15,1,8,1,10,2,8,1,14,4,3,3,18,1,4,2,19,3,4,23,18,2,3,2,4,58,18,1,15,1,14,1,17,2,14,1,16,5,14,4,15,6,18,1,15,3,14,1,15,1,18,4,15,1,18,8,14,1,3,3,14,1,18,2,9,1,8,1,18,8,4,54,18,3,3,16,14,1,18,7,4,3,18,3,14,1,3,3,14,5,18,8,14,2,18,3,8,2,18,3,14,1,18,1,9,2,18,1,14,1,18,2,15,3,14,1,3,1,14,1,18,8,9,5,18,2,3,3,18,10,10,3,18,22,15,1,14,2,15,1,8,4,7,2,15,3,18,1,3,4,4,2,19,7,4,2,19,3,4,3,18,14,3,3,18,4,9,1,18,4,10,3,8,3,18,29,15,2,14,1,3,1,14,1,18,1,8,1,18,3,15,4,18,1,15,4,18,3,15,1,18,2,8,2,18,2,15,1,18,8,8,1,18,2,14,2,18,3,14,1,3,1,16,3,3,1,15,1,3,2,14,1,18,1,8,1,14,1,16,7,3,7,18,1,3,1,16,4,3,9,18,3,3,5,18,1,4,239,19,5,4,2,18,1,3,1,18,2,10,2,8,1,18,2,4,3,18,1,3,1,16,12,3,1,4,3,18,1,3,4,16,6,3,2,18,2,10,3,18,2,10,5,18,3,10,2,4,4,18,1,3,1,16,160,3,2,16,4,3,6,18,6,3,1,18,1,4,522,},
{4,404,19,6,4,2,18,1,10,4,8,2,10,3,8,3,18,5,8,14,10,6,8,4,10,2,8,7,10,7,8,3,10,23,8,2,10,13,8,5,10,8,8,3,10,3,8,2,18,3,8,2,10,6,8,1,18,1,9,1,10,2,18,1,3,1,16,2,3,4,16,1,3,1,18,1,10,5,18,1,3,1,18,2,9,1,14,1,3,1,16,6,3,2,16,5,3,2,18,2,3,2,18,1,10,14,8,1,10,3,8,4,10,6,8,3,10,4,8,2,10,8,8,5,18,1,8,2,18,1,14,3,3,1,14,1,18,1,8,1,10,4,8,1,18,5,8,2,10,2,8,1,18,1,8,4,18,2,8,1,18,5,8,3,10,13,18,2,3,3,16,6,3,3,18,5,8,2,10,4,8,1,10,2,8,2,10,8,8,1,10,25,8,1,10,4,8,3,18,1,8,2,10,6,8,7,10,3,8,2,18,1,8,4,10,36,8,3,10,2,8,3,18,3,8,4,18,1,14,1,15,1,10,2,8,1,14,4,18,1,8,8,18,2,8,2,10,48,8,1,18,1,8,4,15,2,8,6,10,84,8,5,10,98,8,1,18,2,15,2,8,5,15,3,8,2,15,11,14,9,15,14,8,1,15,1,14,1,3,2,14,23,15,3,14,5,15,3,18,1,15,2,18,1,3,3,18,4,4,1,19,7,4,28,18,1,3,1,16,3,3,1,14,3,7,3,14,2,17,5,16,1,17,1,14,22,15,2,14,6,15,6,8,10,15,1,14,4,15,4,14,2,15,5,14,10,15,1,14,9,15,2,8,4,15,2,14,2,15,4,14,2,17,2,14,5,15,3,14,5,15,1,8,1,15,2,14,2,8,2,15,2,8,6,14,2,15,1,8,3,15,1,14,7,15,1,8,3,15,4,8,1,15,5,14,2,8,7,15,1,14,2,8,6,15,1,14,3,15,1,8,1,10,1,8,1,15,1,14,1,15,2,18,1,14,1,3,2,18,1,4,3,19,2,4,25,18,2,4,57,18,1,3,1,14,2,17,1,14,2,17,1,16,3,17,1,14,7,15,3,18,1,15,2,14,3,18,2,15,2,18,4,15,1,14,3,18,7,8,1,9,2,8,1,18,3,8,1,18,3,4,58,18,1,3,5,14,3,3,4,14,2,18,1,14,1,3,1,18,4,4,4,18,1,3,1,18,4,14,6,18,8,15,1,14,1,18,7,14,1,3,1,15,1,9,1,10,1,18,1,14,9,18,3,3,1,14,1,18,2,9,1,10,2,9,3,18,3,14,1,18,5,3,1,18,4,10,1,4,12,18,13,15,1,14,2,15,1,8,8,15,1,18,1,14,1,3,3,18,1,4,1,19,7,4,9,18,3,4,6,18,4,3,3,18,3,10,2,18,4,9,1,10,2,9,1,8,2,18,29,15,1,18,1,14,1,3,1,14,1,18,1,8,1,18,2,15,6,18,4,8,2,18,4,8,2,18,14,15,1,14,1,18,2,15,1,14,2,3,1,16,1,3,1,14,1,18,1,15,1,14,2,18,2,3,1,16,8,3,5,18,2,3,1,16,4,3,6,16,1,3,6,18,1,4,1,18,1,3,2,4,242,19,2,4,2,3,3,18,1,8,1,10,1,8,1,18,2,4,3,3,2,16,11,3,1,4,2,3,2,16,3,3,1,16,1,3,2,16,3,3,1,14,1,18,4,9,1,18,1,3,2,18,1,10,6,9,1,18,2,4,5,18,1,3,1,16,159,3,2,16,5,3,4,18,9,3,1,4,521,},
{4,128,19,1,18,1,4,274,19,5,4,3,18,1,10,4,8,4,18,8,8,15,10,15,8,2,10,6,8,10,10,3,8,3,10,13,8,2,10,13,8,5,10,14,8,1,18,5,8,2,10,5,18,5,3,2,16,1,3,7,10,2,9,2,10,2,3,3,18,2,3,1,16,6,3,3,16,6,3,1,14,1,18,1,14,1,18,1,8,1,10,13,8,3,10,2,8,3,10,6,8,3,10,5,8,1,10,10,8,1,10,1,8,1,18,2,8,2,18,1,14,4,18,2,8,1,10,4,8,2,10,2,8,2,10,3,8,1,18,2,8,1,10,2,8,6,18,4,8,2,10,11,8,1,9,1,10,2,9,1,3,2,16,6,3,6,14,1,18,1,8,1,10,5,8,5,10,5,8,5,10,21,8,4,10,4,8,2,18,2,8,1,10,6,8,2,10,3,8,3,10,3,8,2,18,2,8,3,10,4,8,2,10,30,8,1,10,5,8,1,18,1,15,1,14,1,15,1,18,1,8,1,10,2,8,1,18,1,8,1,10,2,18,1,14,3,15,1,8,4,18,2,8,1,10,1,8,1,18,1,14,1,18,1,8,1,10,47,8,2,15,1,18,1,8,3,15,2,8,2,15,2,8,1,10,12,8,1,10,72,8,5,10,98,8,1,18,2,15,2,8,5,18,1,15,1,8,4,15,2,14,4,15,6,14,6,15,17,14,26,15,1,8,1,15,1,14,4,15,6,18,6,3,3,18,1,4,1,19,5,4,29,3,1,16,3,3,1,14,5,7,2,14,4,17,1,16,3,14,21,15,7,14,2,15,4,14,3,15,1,8,5,15,4,14,6,15,3,14,2,15,2,8,2,15,3,14,7,15,1,8,1,15,3,14,6,15,7,14,3,15,1,8,3,15,1,14,5,15,5,8,1,15,1,14,3,8,1,10,3,8,1,15,1,14,1,18,1,8,1,18,1,8,3,18,1,15,1,8,1,15,1,14,3,15,1,8,3,15,2,14,5,15,1,8,3,15,13,8,7,15,1,7,1,8,3,10,1,8,2,15,1,14,3,15,1,8,2,15,2,14,1,15,1,8,2,18,1,14,1,3,2,18,2,4,86,18,1,3,1,16,2,17,2,14,3,16,3,14,9,15,2,8,1,18,1,15,1,14,3,18,2,15,1,14,1,18,3,14,3,3,1,14,1,18,2,8,1,9,1,18,3,8,1,9,2,18,2,8,3,18,4,4,58,18,1,3,11,18,3,3,2,18,1,4,7,18,1,3,1,18,4,14,1,3,4,14,2,18,15,15,1,14,2,15,1,9,2,18,1,3,3,14,1,15,1,14,3,18,3,3,3,14,1,18,1,9,4,18,7,9,1,18,7,9,1,10,1,4,20,18,10,8,7,18,5,3,1,18,1,4,1,19,6,4,10,18,3,4,6,10,2,18,2,3,2,18,4,10,2,18,5,9,2,8,3,18,28,15,2,18,1,14,1,3,2,18,3,15,3,18,2,15,2,8,2,18,1,8,3,18,4,8,2,18,18,14,3,3,3,15,1,8,1,18,2,14,2,9,1,14,1,16,11,3,1,18,3,3,1,16,3,3,7,16,2,3,5,4,3,18,1,3,1,4,242,19,3,4,1,18,1,3,1,18,8,4,1,18,1,3,1,16,7,3,2,16,3,3,1,4,2,3,1,16,7,3,4,18,1,9,1,10,1,18,1,3,7,18,1,9,1,10,5,18,2,4,6,3,1,16,160,3,1,16,6,3,3,18,5,3,5,18,1,4,520,},
{4,128,18,1,19,1,4,274,19,5,4,3,10,2,8,4,18,2,14,5,18,2,8,20,10,18,8,18,10,13,8,2,10,14,8,4,10,12,8,6,18,5,8,2,10,2,18,1,3,4,16,2,3,6,18,1,4,3,18,1,3,1,10,2,3,6,16,5,3,3,16,7,3,1,18,2,8,4,10,12,8,3,10,11,8,1,10,18,8,3,18,8,8,3,10,14,8,4,10,2,8,6,18,4,8,4,10,4,8,1,14,1,18,1,10,2,18,2,9,1,10,2,18,1,3,1,16,7,3,6,18,1,10,4,8,1,10,3,8,2,10,6,8,5,10,21,8,4,10,4,8,5,10,6,8,2,10,3,8,3,10,3,8,6,10,3,8,2,18,2,10,36,8,1,18,1,14,3,18,1,8,1,10,4,8,3,15,1,14,2,15,1,18,1,8,3,15,3,8,1,10,1,8,1,18,1,14,1,18,1,8,1,10,47,8,2,15,1,18,1,8,2,15,3,8,2,15,1,8,2,10,5,8,1,10,80,8,4,10,96,8,2,18,3,15,2,8,6,15,1,8,3,15,3,14,4,15,5,14,7,15,10,8,2,15,4,14,8,15,1,14,7,15,3,14,8,8,2,15,1,14,4,15,3,14,3,15,2,18,4,15,1,14,1,3,2,18,1,4,1,19,3,4,30,3,1,16,3,3,1,14,1,15,1,14,3,7,2,14,1,17,1,14,4,17,1,14,6,17,2,14,1,7,1,8,1,7,2,14,6,15,16,14,3,15,1,8,4,15,1,14,3,15,2,14,5,15,3,14,2,15,2,8,2,15,7,14,3,8,3,15,2,14,6,15,7,14,3,15,1,8,4,14,4,15,1,8,7,18,1,8,2,10,5,8,1,18,1,8,6,15,1,14,1,15,2,14,2,15,1,18,3,15,4,14,4,15,1,8,4,15,13,8,4,10,1,8,2,7,1,8,4,10,1,8,1,14,4,8,2,15,1,14,2,15,1,8,4,18,1,15,1,18,5,4,84,3,1,16,5,17,1,14,2,17,2,14,2,15,2,14,6,15,2,8,2,15,2,14,1,15,1,18,2,15,2,18,2,15,1,14,2,15,4,18,2,8,1,18,4,9,2,18,2,8,3,18,1,14,2,18,3,4,57,18,3,3,7,18,4,3,2,18,1,4,3,19,2,4,2,18,1,3,1,18,4,14,1,3,4,14,1,3,1,14,4,15,1,18,5,8,3,18,2,15,1,14,2,15,1,18,2,14,1,3,3,18,3,15,1,18,4,3,3,14,1,18,8,9,4,10,1,9,2,18,5,10,2,4,8,19,4,4,11,18,8,8,5,18,5,4,12,18,1,4,7,18,3,4,6,10,3,18,2,3,1,18,4,9,1,18,3,3,1,18,1,9,2,18,8,8,1,9,2,18,16,14,5,15,3,14,1,3,2,18,2,15,4,18,2,15,2,8,6,18,24,14,6,15,1,18,1,8,1,18,1,14,1,18,1,9,1,18,1,3,1,16,11,3,1,18,1,3,2,16,3,3,4,18,2,3,8,4,1,19,2,4,244,19,4,4,6,18,6,3,1,16,7,3,3,16,2,3,1,4,2,3,1,16,8,3,2,18,1,10,3,18,1,3,1,16,1,3,2,16,1,3,2,18,2,9,1,10,4,18,2,4,6,18,1,3,1,16,165,3,4,18,4,3,5,18,1,4,521,},
{4,404,19,4,4,3,10,2,8,3,18,2,14,2,3,3,14,2,18,1,8,3,10,3,8,14,10,18,8,8,18,1,8,2,18,2,8,1,18,1,8,5,10,7,8,1,10,20,8,5,10,11,8,5,18,7,8,2,10,1,18,1,3,1,16,2,3,3,18,1,3,4,18,1,4,4,18,2,9,1,18,1,3,5,16,15,3,1,18,2,8,1,10,2,8,2,10,12,8,3,10,30,8,3,18,2,8,5,10,18,8,3,10,3,8,7,18,4,8,6,10,1,8,1,14,2,8,1,10,1,8,2,9,1,10,2,18,1,3,1,16,7,3,5,14,1,8,1,10,17,8,3,18,1,8,4,10,17,8,2,18,1,8,1,10,1,8,2,10,2,8,4,10,7,8,1,10,2,8,4,10,10,8,4,18,1,8,1,10,36,8,1,18,1,15,1,14,2,18,1,8,1,10,5,8,1,15,4,18,4,15,3,18,1,8,3,18,2,8,2,10,48,8,4,15,4,8,4,10,6,8,1,10,80,8,3,10,96,8,2,18,4,15,3,8,5,15,6,14,5,15,3,14,4,15,14,8,3,15,4,14,16,15,1,8,2,15,1,14,6,15,1,8,2,15,1,14,3,15,4,14,5,15,1,8,2,18,1,15,1,14,1,3,3,4,2,19,2,4,30,18,1,3,2,16,1,3,1,14,1,15,1,14,3,7,1,14,1,17,2,14,1,7,1,14,5,15,1,14,2,17,2,14,1,7,1,8,3,7,4,14,3,15,1,8,4,15,15,8,3,18,1,14,4,15,4,14,4,15,6,8,2,15,8,14,1,15,1,8,3,15,3,14,6,15,3,14,6,15,1,8,5,15,1,8,11,10,9,8,3,10,1,8,2,14,2,15,1,18,1,15,1,18,3,15,4,8,2,15,1,14,3,15,1,8,5,15,4,8,2,15,2,8,2,15,2,8,4,10,2,8,6,10,1,8,1,14,3,15,1,8,2,14,2,15,1,8,8,18,2,3,2,18,1,4,82,18,1,3,1,16,3,17,1,16,2,14,15,15,1,8,2,15,2,14,1,15,1,18,2,15,4,14,2,15,1,18,3,14,1,15,1,18,6,9,2,18,1,15,1,8,3,15,1,14,3,18,2,4,60,18,1,3,4,18,4,4,1,18,3,4,3,19,3,4,2,18,1,3,1,18,3,14,1,3,11,14,2,18,2,8,1,9,4,8,1,18,1,15,1,14,1,15,1,18,1,15,1,14,3,3,1,14,1,18,1,9,1,18,6,3,2,18,2,14,2,18,3,14,1,18,3,9,4,10,4,18,3,9,1,10,1,4,8,19,5,4,3,19,3,4,10,18,6,8,2,18,2,4,22,18,3,4,6,10,3,18,11,14,1,18,1,9,2,18,8,8,3,18,15,14,6,15,1,18,1,14,2,3,2,18,2,15,3,18,3,15,2,8,6,18,10,14,2,18,12,15,1,14,2,15,1,18,11,3,2,16,3,3,2,16,5,3,3,16,2,3,4,18,4,3,7,4,1,19,2,4,244,19,5,4,5,18,3,10,2,3,1,16,8,3,1,18,1,3,1,16,2,3,1,4,2,3,1,16,8,3,1,18,1,10,3,9,1,14,1,16,3,3,4,14,1,18,1,8,1,9,2,8,1,9,1,10,2,18,7,3,1,16,165,3,9,16,3,3,1,18,1,4,521,},
{4,410,18,1,10,1,8,2,18,2,14,3,3,3,14,1,18,2,8,2,10,5,8,12,10,14,8,7,18,2,8,8,18,5,8,4,10,29,8,6,10,10,8,1,10,1,8,1,18,1,14,1,3,2,18,2,8,2,18,3,3,2,16,1,3,2,10,3,9,1,3,3,4,4,18,1,10,2,9,1,3,1,16,2,3,3,16,3,3,1,16,9,3,2,18,1,10,19,8,4,10,30,8,3,10,30,8,8,18,2,8,12,10,4,18,1,3,3,16,7,3,5,18,1,8,1,10,11,8,2,10,5,8,3,18,1,8,2,10,14,8,3,10,1,8,1,18,2,8,2,18,2,8,1,10,1,8,4,10,8,8,5,10,11,8,5,10,37,8,2,18,3,8,2,10,4,8,1,18,1,15,2,18,2,15,5,8,4,18,2,8,3,10,1,8,1,10,25,8,1,10,17,8,2,10,2,8,4,15,2,14,1,15,1,8,4,10,103,8,2,10,81,8,2,18,3,15,5,8,4,15,5,14,3,15,3,14,6,15,12,14,2,15,2,8,3,15,3,14,16,8,1,10,2,15,1,14,6,15,4,14,1,15,3,14,9,15,5,14,1,3,2,18,1,4,1,19,3,4,1,19,1,4,27,19,1,4,1,3,1,16,1,3,2,14,8,7,2,14,2,16,2,14,6,8,4,7,4,14,4,15,2,8,1,15,3,14,2,15,1,8,2,15,5,8,6,18,1,15,1,14,2,15,6,14,4,15,21,8,3,15,1,14,6,15,1,14,6,15,2,8,3,10,1,8,1,10,6,8,1,18,2,8,3,10,10,8,1,10,3,8,1,15,1,14,1,18,6,14,3,15,1,8,3,15,7,8,2,15,4,8,1,15,1,14,2,8,2,14,1,15,1,8,12,10,1,8,1,14,3,8,3,14,2,15,1,8,2,15,2,8,4,18,2,3,3,4,82,18,1,3,1,16,3,14,1,16,2,17,1,14,14,15,2,8,1,15,7,14,5,15,1,18,3,14,2,18,7,8,1,18,1,15,2,18,2,15,1,14,3,18,2,4,61,18,1,3,2,18,1,4,1,19,1,4,7,19,5,4,2,18,1,3,1,14,3,3,9,16,2,3,3,14,1,18,1,8,2,9,3,8,1,18,1,14,2,15,1,18,1,15,1,18,3,14,1,18,1,9,2,18,6,14,1,18,16,9,1,10,3,9,1,18,4,4,8,19,6,4,2,19,8,4,5,18,3,8,5,18,2,4,2,19,4,4,17,18,2,4,6,10,2,18,6,10,2,18,6,9,1,10,1,18,14,8,2,18,10,14,6,18,2,14,2,3,1,14,1,18,3,15,2,18,1,8,1,18,1,15,2,8,6,18,10,14,2,18,13,15,1,18,2,8,2,18,9,15,1,3,1,16,3,3,2,16,6,3,1,18,1,3,4,18,7,3,5,18,3,19,4,4,241,19,8,4,6,10,1,3,1,16,8,3,1,18,2,3,1,16,2,4,3,3,1,16,6,3,1,18,1,10,2,9,1,18,2,14,1,16,2,3,3,14,2,18,2,8,3,18,1,9,1,10,3,18,2,3,1,18,3,3,1,16,165,3,1,16,1,3,7,16,3,3,1,18,1,4,521,},
{4,409,18,1,10,2,8,2,18,1,14,1,3,3,14,2,18,2,8,3,10,7,8,9,10,7,8,6,10,2,8,7,18,3,8,7,18,6,8,4,10,5,8,2,10,10,8,2,10,11,8,7,10,6,8,4,18,2,14,1,3,2,18,2,3,10,10,4,18,1,3,1,18,1,4,4,18,1,10,2,18,1,3,1,16,1,3,1,18,1,3,1,16,4,3,2,16,5,3,3,18,2,10,3,8,1,10,16,8,4,10,31,8,1,10,31,8,23,10,2,9,1,18,1,3,3,16,7,3,4,18,1,8,2,10,11,8,3,10,5,8,4,10,15,8,3,10,1,8,1,18,2,8,2,18,2,8,7,10,8,8,2,10,13,8,4,10,38,8,6,10,2,8,4,18,3,8,1,18,1,15,1,14,3,15,1,8,4,15,2,8,1,10,3,8,2,10,24,8,1,10,17,8,2,10,3,8,2,18,1,15,1,14,2,15,1,8,3,10,97,8,2,10,5,8,2,10,14,8,1,10,67,8,1,18,2,15,1,18,3,15,3,8,2,15,2,14,3,15,1,14,3,15,3,14,6,15,11,14,4,15,2,8,1,15,4,14,16,15,1,10,2,14,2,16,2,14,3,15,3,14,2,15,2,14,10,15,6,3,2,18,1,4,2,19,5,4,24,19,4,4,1,3,3,16,2,17,1,14,5,7,1,15,1,14,2,17,1,16,1,17,1,14,5,8,3,7,3,14,6,15,5,14,3,15,1,8,3,15,4,8,5,15,1,14,3,18,1,8,3,15,3,14,4,15,1,8,2,15,10,8,5,15,1,14,1,15,1,8,4,15,1,14,12,15,2,8,4,10,7,8,1,18,3,8,8,10,4,8,2,10,2,8,2,18,1,8,2,18,4,15,1,14,2,15,1,8,7,15,9,8,1,15,1,14,2,15,2,14,1,15,1,8,6,10,1,8,7,14,2,15,1,8,3,14,2,8,2,15,1,14,1,15,2,8,4,18,1,14,1,3,2,18,1,4,3,3,2,4,11,19,1,4,64,3,1,16,3,14,2,16,3,17,1,14,3,17,2,14,8,15,9,14,8,15,2,14,2,15,1,18,1,15,1,18,6,15,5,14,3,18,2,4,3,18,1,4,61,19,5,4,3,19,6,4,3,18,1,3,12,16,3,3,2,14,1,15,1,8,3,9,1,8,1,18,1,15,1,14,2,15,1,18,1,15,1,18,1,9,1,18,3,9,2,18,2,3,1,14,1,18,4,9,1,18,4,9,3,18,4,14,1,18,3,9,1,10,3,18,5,4,7,19,6,4,2,19,8,4,6,18,3,8,3,10,2,4,3,19,4,4,26,18,3,9,1,10,1,18,2,10,2,18,2,10,1,9,1,18,2,9,2,18,13,8,2,9,2,8,1,18,8,14,4,15,1,18,3,14,3,15,1,18,1,8,1,18,4,8,2,15,2,8,2,18,2,8,2,18,10,14,1,18,3,9,2,18,10,15,1,18,1,8,2,18,1,15,1,14,1,15,1,18,2,14,1,15,1,9,1,8,1,14,1,16,3,3,1,18,1,16,2,3,2,16,2,18,1,10,1,18,1,3,2,18,2,9,1,18,6,3,3,18,1,4,2,18,1,3,3,19,1,4,241,19,9,4,5,10,1,3,1,16,3,3,3,16,1,3,1,19,1,4,2,3,3,4,3,18,1,3,1,16,5,3,1,18,1,10,2,18,1,14,3,3,2,14,1,18,1,8,2,18,2,8,4,18,1,10,3,9,1,18,6,3,1,16,169,3,3,16,5,3,2,4,521,},
{4,408,18,2,10,2,8,3,14,1,3,2,14,2,18,1,8,1,10,6,8,2,10,3,8,4,10,12,8,25,18,6,8,4,10,4,8,3,10,9,8,4,10,6,8,18,18,9,3,1,16,4,3,1,18,1,3,6,18,1,10,3,4,5,18,1,3,6,9,1,18,1,16,11,3,2,18,1,10,3,18,2,8,1,10,18,8,2,10,31,8,1,10,4,8,2,10,4,8,2,10,18,8,19,18,1,14,2,18,2,14,1,18,4,3,1,16,7,3,4,18,2,9,1,8,3,10,4,8,2,10,2,8,4,10,5,8,3,10,16,8,2,10,3,8,1,18,5,8,7,10,23,8,3,10,35,8,6,10,6,8,3,18,1,8,4,18,1,15,1,14,3,18,1,8,3,18,1,14,1,15,1,10,4,8,2,10,24,8,1,10,18,8,1,10,3,8,2,15,2,14,1,15,2,8,2,10,89,8,2,10,7,8,2,10,5,8,1,10,60,9,1,10,5,9,3,10,14,8,1,18,4,8,2,15,3,8,2,15,2,14,7,15,1,8,1,15,2,14,5,15,2,8,2,15,7,14,5,15,6,14,16,15,1,8,2,14,1,3,1,17,2,14,4,15,2,14,2,15,1,14,11,15,2,14,1,15,3,18,4,4,2,19,4,4,24,19,4,4,1,18,1,3,1,16,4,17,1,14,1,7,1,14,1,17,1,14,1,7,1,14,10,15,1,8,1,7,4,14,6,7,1,15,3,14,3,15,1,8,4,15,8,14,4,18,2,8,3,18,1,15,1,14,5,8,4,15,2,14,3,15,2,8,7,14,2,15,1,8,4,15,2,14,7,17,1,14,3,15,4,8,3,10,4,8,1,10,1,8,1,18,11,8,1,10,3,8,2,10,6,8,2,15,2,18,1,8,1,15,1,14,2,15,1,8,6,15,1,14,2,15,8,14,2,15,2,14,1,15,1,8,14,15,2,8,4,15,2,8,2,7,5,8,4,18,1,14,2,18,3,3,3,18,1,4,9,19,1,18,1,4,63,18,1,3,1,16,3,14,2,17,1,16,1,17,4,16,3,14,8,15,8,14,11,15,1,18,5,15,1,18,4,8,2,15,1,8,1,7,3,15,1,8,2,10,1,18,3,4,55,19,2,4,1,19,7,4,4,19,6,4,3,18,1,3,8,14,2,3,2,16,2,3,3,14,1,15,1,18,3,8,2,18,1,14,2,3,1,14,1,15,1,18,2,9,2,18,6,3,2,18,4,9,1,18,3,10,4,18,4,3,1,14,1,18,3,10,4,18,2,4,5,18,1,4,3,19,6,4,2,19,12,4,2,18,2,8,2,10,3,8,1,18,1,4,1,19,5,4,25,18,7,10,3,18,2,10,2,18,2,9,2,8,3,18,3,14,2,18,5,8,1,9,3,8,2,18,7,15,2,18,6,3,2,14,1,18,6,8,3,18,2,8,2,18,2,8,2,18,14,9,2,18,9,15,1,14,2,18,2,15,1,14,2,15,1,18,2,14,2,8,1,18,1,14,1,16,3,3,2,16,1,3,5,18,1,10,2,18,1,3,2,18,5,10,2,18,1,3,3,4,4,18,1,3,2,4,246,19,4,4,6,10,1,18,1,3,8,4,2,18,2,4,5,3,2,16,6,3,1,10,2,3,2,14,2,3,1,14,1,18,1,8,1,10,2,8,3,18,2,8,2,10,3,18,1,3,1,18,2,4,2,18,1,3,1,16,169,3,2,16,5,3,3,4,521,},
{4,408,18,1,8,1,10,3,8,2,18,1,14,1,3,1,18,3,8,1,10,3,8,1,10,2,8,2,10,3,8,3,10,13,8,23,18,9,8,11,10,18,8,7,10,5,8,5,18,3,8,2,18,2,3,4,16,5,3,3,16,3,3,2,18,1,10,2,18,2,3,5,16,1,3,3,18,1,9,1,18,1,16,11,3,1,18,1,10,4,18,2,8,1,10,1,8,1,10,16,8,3,10,19,8,2,10,4,8,1,10,4,8,1,18,2,8,4,10,3,8,1,18,2,8,3,10,2,8,3,10,2,8,1,10,6,8,3,18,4,8,2,10,5,8,6,18,1,14,3,3,3,18,3,3,1,16,7,3,3,18,1,9,1,10,3,8,14,10,5,8,2,10,22,8,3,18,1,8,7,10,28,8,5,10,30,8,6,10,6,8,9,18,1,15,4,8,4,18,1,8,1,10,6,8,1,10,44,8,1,10,1,8,2,15,1,14,1,15,1,8,5,10,44,8,2,10,42,8,2,10,7,8,2,10,73,9,2,10,14,8,2,18,2,8,3,15,3,18,1,8,1,15,2,14,4,15,1,14,2,15,6,14,1,15,4,8,2,15,7,14,5,15,6,14,15,15,2,8,1,15,1,14,8,15,3,14,13,15,2,14,1,7,1,8,3,18,3,4,2,19,4,4,24,19,5,4,1,18,1,3,1,16,3,14,4,17,1,14,13,7,2,6,5,7,1,14,1,17,1,6,1,7,3,14,4,15,1,8,5,15,2,14,1,15,2,14,5,18,2,8,3,18,1,14,2,15,2,14,3,15,1,8,3,15,1,14,4,15,1,8,8,14,2,15,1,8,5,15,1,14,2,15,2,14,7,15,5,8,9,18,11,8,1,10,2,8,4,10,5,8,1,18,1,15,1,18,1,8,2,15,1,14,5,15,1,8,3,15,1,14,2,15,8,14,2,15,4,8,21,15,2,14,2,7,2,8,1,7,1,8,6,18,4,3,4,4,74,3,5,14,1,17,1,16,1,17,1,14,2,17,2,16,2,17,1,14,8,15,4,8,2,15,1,14,4,3,2,14,6,18,3,15,1,18,6,8,3,15,1,7,6,8,3,18,1,3,1,18,1,4,54,19,10,4,4,19,6,4,4,18,1,3,7,14,1,15,1,14,2,3,3,18,10,14,1,3,2,14,1,15,2,18,1,9,2,18,1,14,2,18,3,3,2,18,6,3,1,18,1,10,4,18,10,10,3,18,1,4,6,18,3,4,1,19,6,4,2,19,13,4,1,18,3,8,1,10,2,8,1,10,1,4,3,19,2,4,7,19,2,4,2,18,2,4,13,18,6,10,3,18,3,9,3,18,3,9,1,8,3,18,2,14,3,18,2,8,3,18,2,9,3,8,1,18,14,14,1,3,2,18,4,8,6,18,2,8,2,18,29,15,1,14,2,18,1,15,1,14,3,15,1,18,1,8,1,15,2,18,1,15,1,3,1,16,6,3,6,18,3,3,2,18,3,3,1,18,1,3,6,18,1,4,3,18,1,3,2,4,246,19,5,4,5,18,7,3,2,18,1,19,2,4,1,18,1,4,2,18,1,3,3,16,7,3,1,18,1,10,1,3,1,16,1,14,1,15,1,14,2,8,1,10,4,8,3,18,1,8,1,10,4,18,3,4,4,3,1,16,4,3,4,16,2,3,2,16,158,3,2,16,4,3,3,4,521,},
{4,409,18,1,10,3,8,3,18,6,8,4,10,6,8,4,10,7,8,5,10,2,8,20,18,13,8,9,10,18,8,6,10,7,8,3,18,2,8,1,10,3,8,1,3,2,16,1,3,3,16,10,3,4,16,1,3,3,16,5,3,4,18,1,3,1,16,11,3,1,18,1,10,16,8,1,10,9,8,2,10,19,18,2,10,3,8,3,10,2,8,1,18,6,8,1,10,4,8,1,18,1,8,3,10,1,8,2,18,2,10,2,8,2,10,3,8,5,18,5,8,1,10,6,8,7,18,1,3,2,18,1,8,1,18,1,3,4,16,6,3,1,16,1,3,2,9,1,10,5,8,1,18,1,8,1,10,2,8,1,18,1,8,5,10,3,8,4,10,24,8,2,10,2,8,5,10,28,8,1,18,1,14,1,18,2,8,1,10,30,8,6,10,4,8,13,18,1,15,1,14,1,15,2,8,1,10,8,8,2,10,2,8,2,10,39,8,3,15,1,14,2,15,1,8,5,10,44,8,3,10,19,8,1,10,19,8,5,10,6,8,1,10,79,9,1,10,10,8,4,10,2,8,1,15,3,18,1,8,1,15,1,14,5,15,7,8,1,15,11,14,1,15,4,14,3,15,5,14,16,15,3,14,10,15,1,8,1,15,1,14,9,15,2,14,2,15,2,14,1,7,1,8,3,18,1,3,2,18,1,4,1,19,4,4,24,19,5,4,2,18,1,16,2,3,1,14,5,17,3,14,3,17,2,14,6,6,6,7,2,17,1,14,1,7,1,8,1,7,1,14,5,15,1,8,3,15,3,14,7,18,3,8,2,18,1,14,3,8,3,14,2,15,2,8,2,15,1,14,3,15,1,8,9,15,1,14,1,15,1,8,4,15,5,8,1,15,2,14,1,15,2,14,1,15,7,8,13,18,2,8,3,18,4,8,5,10,1,8,4,18,1,15,1,8,2,18,1,15,2,14,5,15,1,8,1,15,1,14,3,15,3,14,2,15,5,8,2,15,1,8,7,15,1,7,1,8,3,15,2,8,1,10,2,8,1,15,2,8,3,14,3,7,1,8,3,7,1,8,2,10,2,8,2,18,3,3,3,18,1,4,73,3,4,14,2,16,3,17,1,7,2,14,1,17,1,16,1,17,1,14,1,15,3,14,4,15,4,8,3,15,1,14,3,3,4,14,3,15,1,18,3,15,2,18,6,8,3,15,1,7,4,14,1,7,1,8,2,18,2,3,1,18,1,4,54,19,10,18,2,4,4,19,2,4,6,18,2,3,6,14,1,15,4,18,12,14,1,3,2,14,4,18,2,3,3,14,1,18,2,3,2,18,6,3,2,18,1,4,3,18,2,9,1,10,1,9,2,18,7,4,8,18,3,4,2,19,8,4,6,19,5,4,1,18,5,10,2,18,1,4,13,19,1,18,2,3,1,18,1,19,1,4,15,18,3,10,3,18,15,14,2,18,2,10,4,8,1,18,2,8,2,18,6,15,1,18,4,9,3,18,1,3,3,18,4,8,6,18,28,8,1,18,3,15,1,14,2,15,1,18,1,15,1,14,1,3,1,14,1,18,2,8,1,18,3,15,1,3,2,16,8,3,2,16,1,3,5,18,2,3,3,16,5,3,2,4,3,3,3,19,1,4,1,18,1,19,1,4,242,19,5,4,5,18,3,10,2,18,1,3,3,18,1,19,2,4,1,18,1,3,3,16,10,3,1,18,1,8,1,3,1,14,1,18,1,8,1,15,2,8,2,10,1,8,7,10,5,18,1,4,5,18,1,3,1,16,2,3,10,16,157,3,2,16,4,3,2,18,1,4,521,},
{4,137,19,6,4,50,19,4,4,221,10,1,8,1,18,2,8,5,10,1,8,1,10,3,8,3,10,7,8,6,10,3,8,5,10,2,8,11,18,8,8,3,18,3,8,5,18,2,8,3,10,18,8,2,18,1,8,4,10,6,8,2,18,2,8,1,10,3,8,1,3,6,16,10,3,2,16,12,3,4,18,1,3,3,16,6,3,1,16,1,3,1,18,1,10,16,8,1,10,30,18,2,8,6,10,2,8,1,18,6,8,1,10,4,18,2,8,2,18,4,14,1,18,1,8,1,10,1,8,2,10,3,8,5,18,4,8,1,10,7,8,6,10,1,8,1,14,2,8,1,10,1,18,1,3,4,16,8,3,2,10,4,8,2,18,1,14,2,18,1,8,7,10,4,8,4,10,4,18,1,10,19,8,1,10,4,8,3,10,29,18,1,14,2,18,1,8,1,10,32,8,6,10,2,8,10,10,4,8,1,15,1,14,2,15,1,8,1,10,8,8,1,10,3,8,2,10,38,8,3,18,1,14,3,8,2,10,1,8,3,10,4,8,1,10,4,8,2,10,33,8,2,10,20,8,1,10,12,8,1,10,8,8,3,10,86,8,1,9,1,10,9,8,2,10,4,8,2,15,2,18,1,8,2,15,1,14,3,15,4,14,2,15,3,8,1,15,10,14,3,15,9,14,15,15,1,8,2,15,1,14,11,15,3,14,10,15,1,14,2,15,4,8,3,18,2,3,1,18,1,4,3,19,7,4,19,19,5,4,3,18,1,3,1,18,2,3,1,14,5,3,1,14,10,17,1,14,10,7,3,14,7,15,6,14,5,15,1,18,5,14,4,15,1,8,2,15,6,14,5,15,1,8,9,15,9,8,17,15,3,8,6,10,1,8,1,18,4,8,3,18,1,15,2,18,1,8,6,18,1,8,2,18,1,8,4,15,2,14,5,15,4,14,2,15,9,8,1,15,2,8,6,10,1,8,1,15,1,14,1,15,1,8,2,15,2,8,1,10,2,8,1,14,1,15,4,14,3,7,1,8,3,15,1,7,1,15,1,8,5,10,2,18,1,3,2,18,1,4,5,18,1,19,1,4,66,3,3,14,1,18,1,14,1,16,3,17,1,7,2,14,2,16,1,14,1,15,1,8,1,15,2,14,5,15,4,8,2,15,1,14,4,3,2,14,3,15,2,18,2,15,3,18,6,8,2,15,3,7,2,14,3,18,4,3,1,18,1,4,54,19,9,4,1,18,1,3,1,4,7,18,1,4,7,18,2,3,3,18,6,4,11,18,1,3,2,18,2,3,1,18,3,3,3,18,6,4,5,18,2,4,5,18,2,10,2,18,7,4,10,18,3,4,2,19,7,4,7,19,2,4,3,18,6,4,15,3,2,18,3,19,1,4,16,10,5,18,1,3,1,18,12,14,1,3,1,14,1,18,1,10,5,9,1,18,2,8,2,18,11,8,1,9,1,8,1,18,1,3,3,18,7,8,3,18,33,14,1,15,1,18,2,15,1,14,1,3,1,14,1,18,2,8,1,18,3,15,1,3,1,16,9,3,2,16,3,3,3,18,2,3,3,16,5,3,2,4,3,3,7,19,1,4,242,19,3,4,7,18,1,10,3,18,1,3,3,18,1,19,2,4,1,3,2,16,12,3,2,18,1,3,1,14,1,18,1,8,3,18,2,8,7,10,7,4,6,3,1,16,1,3,1,18,5,3,1,18,1,4,3,3,1,16,144,3,2,16,5,3,1,16,3,3,1,18,2,3,1,16,3,3,2,4,522,},
{4,136,19,8,4,1,3,2,18,2,4,10,18,1,3,4,4,28,19,6,4,215,19,3,4,2,10,1,8,10,10,10,8,7,10,5,8,4,10,3,8,6,10,1,8,20,10,1,8,8,10,1,8,2,10,15,18,7,8,1,10,5,8,1,18,3,8,4,18,4,3,2,16,7,3,2,16,16,3,2,18,1,10,3,3,1,16,4,3,1,18,4,10,31,8,3,10,13,8,1,18,1,14,1,18,2,8,1,10,6,8,2,18,3,8,2,10,3,8,1,18,4,3,3,14,2,18,2,8,4,10,6,8,2,18,2,8,1,10,8,8,1,18,2,8,3,18,4,8,2,18,3,14,1,3,1,16,8,3,2,10,3,18,1,3,1,18,3,3,3,18,1,10,11,8,1,10,62,8,1,18,2,8,1,10,34,8,18,10,3,8,2,15,2,18,1,8,1,10,8,8,1,10,39,8,1,10,3,8,1,18,7,8,1,10,8,8,2,10,37,8,2,10,43,8,1,18,2,10,38,9,3,10,40,9,4,10,1,9,1,10,9,8,1,10,3,8,5,15,2,18,1,8,3,15,3,14,2,15,2,14,4,15,3,8,1,15,10,14,2,15,5,14,7,15,3,14,7,15,1,8,1,10,1,9,1,14,2,17,1,14,2,15,3,14,11,15,2,14,5,15,5,18,1,15,5,18,2,4,6,19,5,4,30,18,1,3,7,14,5,15,3,14,26,15,2,14,4,7,1,15,1,8,2,15,3,14,5,15,1,8,2,15,2,14,9,8,6,10,2,8,2,15,1,14,4,15,3,8,12,15,1,8,1,10,3,8,6,18,3,8,2,15,1,14,3,18,1,8,1,18,5,8,5,18,3,8,7,15,1,14,5,15,10,8,2,15,5,18,1,8,5,10,1,8,2,15,1,14,1,15,2,8,5,18,1,14,2,15,1,14,2,3,1,14,4,15,2,8,1,15,1,14,2,15,1,8,2,10,5,3,3,18,4,3,3,4,66,3,1,16,1,3,1,14,4,17,1,16,2,14,6,15,4,8,1,15,1,14,3,15,3,14,1,15,1,8,2,15,1,14,9,15,10,8,3,15,5,18,9,4,56,19,5,4,4,18,1,3,11,4,7,18,1,4,4,18,2,4,5,19,6,4,10,18,5,4,2,18,2,4,22,18,2,4,13,18,2,4,3,19,3,4,12,18,7,4,13,18,8,4,14,18,2,10,2,8,3,18,2,10,1,18,2,3,1,18,5,8,1,9,1,18,1,3,2,18,1,8,1,10,2,9,2,8,2,9,1,8,6,18,8,8,1,18,4,3,2,18,9,8,1,18,17,9,1,18,4,9,3,18,12,14,1,3,1,14,1,15,1,18,1,8,2,18,2,8,1,18,1,3,1,16,7,3,2,14,1,3,1,16,2,3,2,18,2,3,6,16,2,3,3,18,1,4,4,3,4,16,2,3,1,18,1,4,251,18,2,10,2,18,2,3,1,18,1,4,3,18,1,3,3,16,11,3,6,18,1,10,2,18,2,8,1,10,2,9,1,8,1,18,1,8,4,9,1,10,3,4,5,18,1,3,1,16,1,14,1,9,1,18,2,9,1,18,2,4,3,19,2,3,1,16,144,3,2,16,3,3,2,16,3,3,8,18,1,4,522,},
{4,136,19,8,18,1,3,4,18,1,4,5,18,4,3,5,4,28,19,6,4,214,19,4,4,2,10,1,8,2,10,4,8,4,10,9,8,8,10,8,8,14,18,2,8,15,10,2,8,10,10,15,8,1,18,6,10,7,18,6,9,1,10,1,18,2,3,2,16,7,3,3,16,15,3,4,10,2,18,1,10,1,3,1,16,2,3,1,8,1,10,35,8,2,10,14,8,1,18,1,14,3,18,1,8,1,10,7,8,2,18,2,8,1,10,3,8,1,18,1,14,1,18,1,14,1,3,3,14,2,18,2,8,4,10,6,8,2,18,2,8,1,10,8,8,1,18,1,8,2,10,1,8,1,18,2,8,2,18,2,8,2,10,1,18,1,3,3,16,7,3,1,18,1,10,2,3,8,18,1,10,32,8,4,10,38,8,3,10,26,8,2,10,7,8,4,10,2,8,21,10,18,8,1,10,28,8,2,10,3,8,1,18,7,8,1,10,7,8,4,10,81,8,1,18,2,10,38,9,3,10,39,9,1,8,3,9,2,10,4,9,1,10,4,9,1,8,1,10,3,8,1,18,1,8,4,18,2,8,3,18,2,15,2,14,9,15,1,8,2,15,9,14,2,15,4,14,8,15,3,14,7,15,1,9,1,10,2,14,1,16,2,14,2,15,3,14,10,15,4,14,4,15,4,8,2,18,1,15,2,8,3,18,4,4,3,19,5,4,31,18,1,3,7,14,2,15,3,8,1,15,1,14,6,15,2,14,23,7,3,8,2,15,1,14,2,15,3,14,3,15,1,8,3,14,4,15,2,14,3,15,1,8,3,15,1,8,1,10,3,8,1,15,1,14,6,15,2,8,2,9,2,8,4,9,1,8,4,10,3,8,3,10,2,8,6,18,1,14,3,15,1,18,8,8,14,15,8,8,4,15,3,8,2,15,5,8,9,15,1,14,2,15,2,8,3,18,1,14,6,3,1,14,5,15,1,8,1,15,1,14,2,7,1,8,3,10,4,18,1,3,3,18,2,3,4,4,66,3,1,16,1,3,1,14,1,15,1,7,2,14,1,17,1,16,1,14,2,15,1,14,3,15,2,14,1,7,1,8,2,14,3,15,1,8,1,15,1,14,2,15,1,8,1,15,1,14,1,15,2,14,2,15,2,14,2,15,2,14,2,15,6,8,2,15,2,8,2,18,2,8,4,18,4,4,67,3,8,16,3,3,1,4,18,19,7,4,56,18,2,4,2,19,3,4,4,18,4,4,3,10,1,18,8,4,12,3,1,18,3,8,2,18,3,4,12,19,1,3,1,18,1,4,1,10,2,8,1,10,2,8,1,10,1,18,9,9,1,18,2,3,1,18,1,9,1,10,2,18,2,8,1,9,2,8,6,18,3,8,2,18,3,8,1,18,26,8,2,18,5,8,1,18,4,10,2,9,1,18,3,14,1,18,7,14,4,18,2,9,1,8,1,18,1,15,1,8,1,18,1,14,1,16,6,3,2,18,2,14,1,3,1,16,2,3,3,16,2,3,4,16,1,3,1,18,3,3,2,18,1,4,2,3,1,16,6,3,2,18,1,3,1,18,1,4,252,18,1,4,5,18,1,3,6,16,9,3,6,18,1,10,1,18,2,8,1,10,2,9,1,18,4,14,2,18,1,9,1,10,3,4,4,18,1,16,2,18,1,10,1,18,1,15,1,18,2,4,3,19,3,3,1,16,145,3,2,16,2,3,2,16,3,3,8,18,1,4,522,},
{4,136,19,7,4,1,18,1,3,2,16,1,3,3,18,5,3,4,18,2,3,1,18,1,4,15,19,7,4,5,19,7,4,214,19,4,4,2,10,1,8,2,10,4,8,5,10,6,8,7,10,2,8,3,10,3,8,1,10,2,8,11,18,6,8,25,10,34,18,2,10,1,18,1,3,2,16,2,3,3,16,5,3,2,16,14,3,6,10,1,18,1,10,1,18,1,3,2,18,1,8,1,10,49,8,4,14,2,3,1,14,1,18,1,8,1,10,1,8,2,10,3,8,2,18,2,8,1,10,3,8,1,15,1,14,4,18,1,14,2,18,1,8,3,10,9,8,3,18,1,8,1,10,9,8,1,10,2,8,1,18,3,8,5,10,2,8,1,18,1,3,6,16,4,3,1,9,1,18,1,3,1,16,3,3,2,18,1,9,1,10,3,8,3,10,25,8,8,10,36,8,1,18,1,8,2,10,34,8,4,10,2,8,7,10,1,8,11,10,4,8,3,10,1,8,1,10,3,8,10,10,32,8,1,18,4,8,4,10,7,8,1,18,2,8,2,10,17,8,1,10,62,8,1,18,1,8,1,10,80,9,2,8,1,9,3,10,10,8,1,9,1,10,1,9,1,18,1,15,1,8,6,18,5,15,2,14,9,15,12,14,2,15,5,14,6,15,4,14,8,8,1,10,1,8,1,14,1,16,2,14,3,15,2,14,2,15,2,14,6,15,4,14,3,15,5,8,3,15,2,8,4,18,4,4,2,19,8,4,29,18,1,3,1,18,2,3,4,18,2,14,1,15,1,8,2,15,1,14,1,15,6,14,2,15,2,7,2,15,2,14,2,15,2,14,12,7,2,8,1,15,1,14,3,15,7,8,3,15,2,14,7,7,1,15,2,7,1,14,1,7,1,8,1,10,1,8,2,15,1,14,8,15,1,8,2,10,1,9,1,8,8,10,3,8,2,10,9,8,1,18,1,15,1,14,1,15,4,18,5,8,16,15,2,14,1,15,2,8,5,15,9,8,4,18,2,8,4,15,1,14,3,15,1,8,4,18,1,3,2,14,1,15,2,14,4,15,3,8,1,15,1,14,2,7,1,8,4,10,3,18,1,3,1,14,2,18,3,3,3,4,66,3,2,14,1,15,1,8,2,7,1,14,2,17,1,14,9,7,1,8,2,14,3,15,1,8,2,15,1,14,1,15,3,14,1,15,2,14,2,15,1,14,4,15,1,14,2,15,5,8,1,15,4,8,2,15,2,8,1,10,3,8,1,18,3,4,67,18,1,3,8,16,2,3,1,18,1,4,17,19,24,4,12,19,3,4,11,19,4,4,19,18,5,9,1,10,2,18,1,15,1,18,1,8,2,18,4,4,12,18,5,14,1,18,3,4,12,19,1,3,2,18,3,10,1,8,1,18,5,4,3,18,9,8,1,9,2,8,2,9,2,8,2,10,2,8,2,18,1,15,1,14,1,18,1,8,2,18,3,8,1,18,5,14,2,18,26,8,1,18,4,9,1,10,1,8,1,18,3,14,1,18,4,14,7,15,1,18,1,8,2,18,2,8,1,18,1,14,1,3,2,16,4,3,1,15,1,18,2,14,1,3,1,16,7,3,4,16,1,3,1,18,2,3,4,18,2,3,1,16,6,3,2,16,2,3,1,4,2,18,1,3,1,18,1,4,8,19,5,4,15,19,5,4,220,18,2,3,1,18,2,3,2,16,10,3,2,18,1,3,1,16,1,3,1,18,2,10,1,8,1,9,1,10,1,8,1,18,3,15,1,14,3,15,1,8,1,9,1,18,2,10,2,9,1,3,1,16,2,9,1,10,1,9,1,18,3,4,3,19,3,3,1,16,145,3,2,16,7,3,9,18,1,4,521,},
{4,144,18,1,3,3,16,1,3,3,18,3,3,5,18,1,10,1,18,1,4,15,19,9,4,4,19,7,4,215,19,3,4,2,10,1,8,1,18,1,8,1,10,4,8,6,10,1,8,7,10,5,8,4,10,2,8,14,18,6,8,4,18,5,8,16,10,26,18,2,10,5,18,4,3,2,16,2,3,5,16,3,3,3,16,14,3,4,16,1,3,1,8,1,10,3,18,3,8,1,10,33,8,1,10,14,8,5,18,1,14,3,18,1,8,1,10,1,8,2,10,3,8,2,18,1,14,1,18,1,8,1,10,2,8,1,18,1,14,1,3,2,14,1,18,2,8,4,10,10,8,5,10,12,8,1,18,3,8,5,10,3,8,1,18,5,3,2,16,2,3,1,18,3,3,1,16,4,3,1,18,8,10,25,8,8,10,36,8,4,10,20,8,1,10,13,8,4,10,4,8,5,10,3,8,7,10,4,8,6,10,3,8,15,10,28,8,2,18,1,8,4,10,6,8,1,10,2,8,1,18,2,8,2,10,15,8,5,10,60,8,3,10,42,9,2,10,36,9,3,10,13,8,4,18,1,15,1,18,1,8,5,18,1,15,3,18,1,15,2,14,9,15,12,14,2,15,7,14,3,15,3,14,10,15,1,8,2,14,1,16,1,14,8,15,2,14,4,15,6,14,3,15,5,8,9,18,4,4,3,19,7,4,27,19,2,4,4,18,7,14,1,15,4,18,3,15,1,14,2,15,4,8,2,15,8,14,12,15,2,14,3,15,2,8,1,15,3,8,7,15,1,14,6,7,2,14,2,7,1,8,5,15,2,14,7,15,1,8,1,10,2,8,3,10,2,8,3,10,2,8,4,10,9,8,2,18,1,15,3,18,7,8,6,10,4,8,5,15,5,8,5,15,1,14,3,15,4,18,1,8,4,18,2,8,4,15,2,14,1,15,2,8,4,18,1,14,3,8,3,15,6,8,1,15,1,14,2,7,1,8,8,18,7,3,2,4,66,3,2,14,1,15,1,8,3,7,1,14,2,7,2,14,2,15,2,14,3,15,1,8,2,15,1,14,1,15,1,8,3,15,4,14,5,15,3,14,6,15,2,14,1,15,1,8,2,15,1,14,2,15,1,8,2,15,1,18,1,10,5,18,2,4,73,18,1,3,7,4,17,19,25,4,10,19,4,4,10,19,6,4,18,18,6,8,1,18,1,14,2,18,1,8,1,18,4,4,13,18,1,3,2,18,5,4,13,3,4,18,8,4,6,18,11,9,3,8,2,10,2,8,1,18,1,15,1,14,2,18,1,8,3,18,1,8,4,18,9,9,3,18,24,9,2,18,9,14,7,15,1,18,1,8,1,9,1,18,2,8,1,18,1,15,1,3,6,14,1,18,1,8,1,18,1,14,1,3,1,16,8,3,2,16,2,3,4,16,3,3,3,16,10,3,2,18,1,3,3,4,7,19,6,4,14,19,6,4,210,19,7,4,4,18,1,3,2,18,2,3,1,16,10,3,1,18,2,3,1,16,1,3,2,8,1,10,2,8,1,10,1,8,1,18,1,14,3,3,4,14,1,18,1,15,1,8,1,10,2,8,1,3,1,16,1,3,1,10,2,9,1,18,1,14,1,18,1,4,3,19,3,3,1,16,154,3,5,18,1,3,4,18,1,4,520,},
{4,141,18,3,3,6,18,5,3,5,18,3,4,15,19,10,4,3,19,6,4,221,18,4,10,5,8,12,10,6,8,29,18,6,8,3,18,1,8,15,10,22,18,3,8,1,10,3,18,3,3,2,16,1,3,3,18,4,3,1,16,3,3,3,16,14,3,1,18,1,3,2,16,1,3,1,18,1,10,3,8,1,18,3,10,32,8,1,10,15,8,6,18,3,8,1,10,2,8,2,10,2,9,1,8,2,18,1,3,2,18,1,8,3,10,1,8,1,3,3,14,1,18,1,8,4,10,7,8,8,10,12,8,5,10,1,8,10,18,2,3,4,18,1,9,1,18,2,3,1,16,5,3,6,18,2,10,24,8,4,10,41,8,3,10,31,8,1,10,1,8,6,10,6,8,4,10,11,8,2,15,2,8,2,10,5,8,2,18,4,8,10,10,27,8,6,10,9,8,6,10,15,8,5,10,61,8,2,10,41,9,3,10,52,9,1,8,3,18,1,15,1,18,1,8,5,18,1,15,3,18,2,15,1,14,8,15,6,14,2,15,5,14,2,15,7,14,3,15,2,14,11,15,1,8,1,15,1,14,1,17,1,14,8,15,1,8,1,15,1,14,2,15,2,8,1,15,3,14,5,15,4,8,9,18,7,4,3,19,5,4,26,19,5,4,7,18,1,14,1,18,8,14,2,18,1,8,1,15,2,8,2,15,8,14,17,15,1,8,12,15,1,14,11,8,6,15,2,14,7,8,1,9,1,10,1,9,1,10,5,8,5,18,1,8,3,10,1,9,2,10,7,8,2,15,1,8,4,15,1,14,1,18,2,8,6,10,7,8,3,15,5,8,4,15,1,14,4,15,1,8,1,15,1,18,1,8,10,15,4,8,6,15,1,14,1,8,4,15,2,8,6,7,2,8,11,18,4,14,1,3,2,4,66,3,3,18,1,8,3,7,1,15,1,7,4,15,1,8,2,15,1,14,1,15,2,8,1,15,5,8,2,15,4,14,2,15,6,14,6,15,2,14,1,15,1,8,2,15,2,14,1,15,1,18,3,8,1,10,5,18,1,4,4,19,2,4,71,18,2,3,2,18,1,4,16,19,26,4,2,19,6,4,2,19,4,4,9,19,7,4,20,18,14,4,12,18,1,3,3,18,4,4,13,19,1,3,4,18,8,4,8,18,2,4,3,18,4,9,1,10,2,8,2,10,1,9,1,8,1,18,1,15,2,14,1,18,1,8,6,10,1,9,1,18,8,9,4,18,24,9,1,18,11,14,5,15,2,18,1,8,1,9,1,8,1,18,1,8,2,18,1,14,1,3,1,16,1,3,2,14,1,18,1,8,1,9,1,18,3,3,1,16,7,3,1,16,3,3,4,16,3,3,2,16,2,3,2,16,6,3,6,18,1,4,7,19,5,4,15,19,6,4,210,19,9,4,2,18,1,3,2,18,3,3,3,16,7,3,1,18,2,3,1,16,1,3,2,18,1,10,5,18,1,14,3,3,4,14,1,15,1,14,1,18,1,10,2,8,1,14,1,3,2,10,2,9,1,18,3,4,6,3,1,16,154,3,4,18,2,3,4,4,521,},
{4,141,18,5,3,1,18,2,4,4,18,4,3,3,18,3,4,15,19,10,4,3,19,1,4,226,18,5,10,4,8,10,10,7,8,5,10,1,8,13,10,4,8,3,10,1,18,10,8,1,18,2,8,15,10,22,18,3,10,4,18,3,3,2,16,1,3,1,18,1,10,5,18,1,3,1,16,1,3,4,16,14,3,1,18,2,3,3,10,5,8,1,18,2,10,49,8,1,18,2,8,2,18,1,8,2,10,3,8,1,18,1,8,1,9,2,8,2,18,1,3,2,18,1,8,3,10,1,18,1,3,1,16,1,3,1,14,1,8,1,10,1,8,3,10,6,8,3,10,2,8,4,10,9,8,5,10,5,8,3,18,2,8,4,18,2,14,1,3,1,14,1,18,1,10,2,9,1,18,1,3,2,16,7,3,3,18,1,9,1,10,3,8,1,10,20,8,3,10,10,8,3,10,30,8,2,10,31,8,9,10,5,8,5,10,5,8,3,10,3,8,1,18,2,8,2,10,3,8,2,18,2,14,3,18,1,8,3,10,1,8,2,18,3,8,2,10,28,8,4,10,8,8,2,10,31,8,1,10,19,8,5,10,26,8,2,10,101,8,3,18,2,8,7,18,4,15,2,14,7,15,7,14,2,15,4,14,3,15,6,14,4,15,2,14,6,15,2,14,4,15,2,14,4,15,3,14,3,15,1,8,2,15,3,8,2,15,1,14,7,15,4,8,10,18,3,3,3,18,1,4,2,19,5,4,26,19,7,4,5,18,14,15,2,8,2,15,9,14,16,15,1,8,10,10,1,8,1,15,1,14,11,8,3,10,1,8,3,15,1,14,7,15,1,8,2,10,7,8,2,18,1,15,1,18,1,8,10,10,4,8,3,10,2,8,1,15,3,18,1,8,9,10,3,8,5,15,4,8,3,15,2,14,4,15,1,8,1,15,1,18,1,8,2,18,2,8,6,15,2,8,4,15,1,8,23,7,1,14,2,8,2,10,1,8,2,18,3,3,3,4,66,3,3,18,1,8,7,7,2,8,4,15,11,18,2,15,1,14,1,15,4,18,2,8,1,18,1,14,5,15,3,14,2,15,1,18,1,8,1,15,2,14,2,18,2,10,4,18,3,4,2,19,4,4,66,19,3,4,23,19,14,4,1,19,10,4,3,19,6,4,2,19,3,4,6,19,11,4,10,19,2,4,8,18,8,8,1,18,4,4,12,19,1,3,4,18,2,10,1,4,14,3,5,18,6,3,1,18,2,4,13,18,4,10,2,9,1,8,3,18,6,8,1,9,1,8,4,9,2,18,2,9,10,18,4,8,2,18,15,9,1,18,5,14,3,18,3,8,1,18,2,14,2,15,1,18,5,8,3,18,4,14,1,3,3,14,1,15,1,18,1,9,1,8,1,18,2,14,1,3,1,16,7,3,1,16,1,3,3,4,2,3,2,16,6,3,2,16,4,3,9,4,6,19,5,4,2,18,2,4,12,19,6,4,210,19,9,4,3,18,1,3,1,18,2,10,1,18,2,3,1,16,7,3,1,18,2,3,3,18,2,8,2,10,2,8,1,14,4,3,3,14,1,18,2,14,1,18,1,10,2,18,1,14,1,3,1,14,1,9,1,10,1,9,1,18,3,4,6,3,4,16,151,3,4,18,3,3,2,18,1,4,521,},
{4,149,19,2,4,5,18,7,4,15,19,4,4,236,18,6,8,5,10,2,8,4,10,6,8,7,10,7,8,3,10,2,8,3,10,5,8,2,18,1,4,10,18,3,8,14,10,20,18,2,10,11,18,2,3,2,18,1,10,6,3,4,18,2,3,1,16,1,3,8,16,3,3,1,18,1,10,2,18,3,10,1,18,1,10,4,8,2,10,49,8,1,18,5,8,1,10,3,8,1,18,3,8,1,10,1,9,1,18,1,14,1,3,1,18,1,8,1,10,2,8,2,14,1,3,2,14,1,8,2,10,1,8,4,10,10,8,4,10,8,8,5,10,4,8,3,18,7,8,2,18,4,8,1,10,2,9,1,18,1,3,1,16,8,3,2,18,2,10,3,8,2,10,31,8,5,10,64,8,8,10,5,8,5,10,3,8,2,15,1,18,1,8,2,10,5,8,6,18,1,14,6,18,1,8,2,10,1,8,2,18,3,8,2,10,28,8,4,10,8,8,2,10,30,8,2,10,19,8,6,10,25,8,3,10,42,9,1,10,57,8,3,18,1,8,11,18,1,15,1,14,5,15,4,8,4,15,2,14,2,15,4,14,3,15,5,14,5,15,2,14,6,15,1,14,5,15,2,14,3,15,1,8,2,15,1,14,3,15,1,8,7,15,1,14,7,15,4,8,7,15,2,18,1,8,1,18,2,3,3,18,3,4,2,19,3,4,7,19,6,4,13,19,8,4,14,18,5,15,1,8,2,15,7,8,2,15,2,14,1,15,3,14,10,15,1,8,4,15,4,8,4,15,1,14,10,7,1,8,3,10,2,8,2,15,1,14,1,15,5,14,2,15,1,8,2,10,6,8,1,18,1,15,2,18,1,8,3,18,3,8,2,18,1,8,2,10,3,8,2,10,4,18,1,15,1,18,2,8,10,10,2,8,6,15,8,14,4,8,2,15,2,18,2,15,1,18,1,8,1,10,2,8,2,15,3,8,4,15,2,8,6,15,3,8,13,7,1,14,2,8,2,10,1,8,2,18,1,14,2,3,3,18,1,4,2,19,2,4,61,3,3,15,2,8,6,7,2,8,1,10,2,8,1,15,1,8,2,15,4,14,2,15,2,18,2,15,2,18,5,8,2,18,1,14,2,15,6,14,3,15,1,8,2,15,1,14,2,18,1,8,1,10,3,18,3,4,3,19,4,4,66,19,9,4,17,19,8,4,3,19,1,4,8,19,4,4,4,19,5,4,7,3,3,4,1,19,12,4,10,19,7,4,1,19,1,4,2,18,7,10,2,8,1,18,1,10,1,4,12,3,4,18,2,10,2,4,13,18,1,3,4,18,7,3,2,18,1,4,9,19,3,4,2,18,1,4,1,18,1,9,2,8,1,18,5,8,5,10,1,8,2,18,1,8,3,18,2,9,1,10,3,9,5,18,4,8,1,9,1,8,1,18,15,8,1,18,5,14,3,18,7,15,1,18,6,8,3,18,1,15,2,18,2,14,1,3,1,14,1,18,2,8,2,18,2,14,1,3,2,16,2,3,1,16,4,3,3,18,1,4,4,3,2,16,5,3,2,16,4,3,4,16,2,3,5,18,1,3,1,18,1,4,1,19,3,4,1,18,1,3,4,4,8,19,6,4,1,19,3,4,4,18,1,4,6,19,4,4,195,19,9,4,5,10,3,18,1,3,6,16,3,3,1,18,2,3,2,18,4,8,2,18,2,14,2,15,1,14,1,3,2,14,1,18,1,8,2,18,2,9,2,18,1,14,1,3,1,14,1,18,1,10,2,9,1,18,3,10,3,18,3,4,2,18,1,3,1,16,148,3,7,18,2,3,2,4,522,},
{4,147,19,7,4,24,19,3,4,2,3,3,4,232,18,10,8,1,10,2,8,4,10,6,8,5,10,15,8,1,10,8,4,12,18,3,8,4,18,3,8,2,10,39,9,1,18,2,10,5,9,1,18,1,3,2,18,3,3,10,16,3,3,1,18,1,10,5,18,2,10,4,8,4,10,47,8,1,18,2,14,1,18,2,8,1,10,3,8,2,18,3,8,1,18,2,3,1,14,1,8,1,10,3,18,2,3,3,18,1,10,1,8,10,10,6,8,3,10,10,8,5,10,2,8,4,18,2,14,1,18,2,8,6,10,3,9,1,18,2,3,1,16,8,3,2,18,1,10,5,8,2,10,30,8,5,10,65,8,9,10,4,8,8,18,1,15,1,14,1,15,1,18,1,8,1,10,6,8,4,18,1,15,1,14,4,15,1,18,1,8,2,10,2,8,2,18,3,8,1,10,30,8,3,10,8,8,2,10,30,8,2,10,50,8,3,10,41,9,2,10,57,9,1,8,4,10,1,8,9,18,1,15,1,14,3,15,6,8,4,15,2,14,2,15,4,14,5,15,2,14,6,15,2,14,9,17,2,14,2,15,4,8,3,15,1,14,2,15,1,8,1,10,3,8,3,15,2,14,8,15,3,8,7,15,2,18,1,8,2,18,1,14,1,3,2,18,2,3,2,4,2,19,1,4,7,19,8,4,12,19,8,4,8,19,5,4,4,18,2,15,1,8,3,15,5,8,3,15,7,14,9,15,2,8,3,15,1,14,4,15,1,8,2,14,11,15,2,8,5,15,2,14,1,15,1,8,4,15,1,14,3,15,1,8,7,15,3,8,5,18,1,8,3,18,2,8,2,10,2,8,1,10,5,8,1,18,1,8,4,18,2,15,3,8,3,10,1,8,8,15,3,8,3,15,2,14,3,8,2,18,1,15,4,18,1,8,1,10,2,8,1,15,1,14,2,15,1,8,11,15,3,8,13,18,1,14,3,8,2,10,1,8,2,15,1,14,1,15,1,14,1,3,3,4,1,19,4,4,60,18,1,3,2,14,2,15,1,8,5,7,1,8,2,10,2,8,4,15,4,14,3,15,1,8,1,18,1,15,2,8,2,18,3,8,3,15,2,18,3,8,2,15,1,14,4,15,1,18,1,15,1,18,4,8,1,9,1,18,1,3,2,18,1,4,3,19,4,4,66,19,10,4,20,19,4,4,1,18,1,4,3,18,1,3,1,18,3,3,2,4,1,19,2,4,1,18,2,4,2,19,4,4,8,3,3,18,1,19,12,4,10,19,10,4,3,18,5,10,4,18,1,4,12,18,5,10,2,9,1,4,13,3,4,18,1,8,2,18,8,4,9,19,4,4,4,18,7,8,7,9,1,8,1,18,2,8,1,18,3,10,5,9,3,8,1,18,3,8,1,9,2,8,1,18,34,8,1,18,6,15,1,14,2,15,1,18,1,14,2,18,2,8,3,18,2,14,1,3,5,16,3,3,4,18,1,4,4,3,2,16,10,3,4,16,3,3,6,16,1,3,1,18,1,4,1,19,2,4,1,3,3,16,1,3,1,4,7,19,6,4,3,19,2,4,4,3,1,18,1,4,4,19,6,4,194,19,9,4,5,18,2,10,1,18,1,3,3,18,2,3,1,16,3,3,2,18,1,3,2,18,6,3,3,14,1,18,2,14,2,15,1,8,1,10,2,8,1,18,1,8,1,18,1,14,1,3,3,18,1,9,1,10,1,9,1,18,8,4,4,3,1,16,1,3,3,16,1,3,1,16,142,3,7,18,4,4,522,},
{4,144,19,15,4,19,19,2,4,2,3,5,4,232,18,11,8,6,10,4,8,6,10,24,4,13,18,9,8,1,10,14,8,1,10,13,9,1,10,14,18,2,3,2,18,4,9,2,18,1,3,3,18,2,3,2,16,6,3,2,18,4,10,7,8,6,10,39,8,4,10,5,18,4,8,1,10,5,8,1,18,1,14,1,18,2,3,2,18,1,8,1,10,2,8,1,14,2,3,2,14,1,8,1,10,1,8,1,18,2,8,3,18,1,8,3,10,6,8,3,10,12,8,9,18,4,8,7,10,2,8,1,18,1,3,3,16,6,3,2,18,1,10,6,8,1,18,2,8,1,10,28,8,2,18,2,8,2,10,58,8,3,10,5,8,10,10,1,8,5,10,1,8,3,18,2,15,1,18,1,8,2,10,2,8,3,10,3,8,3,18,5,8,2,10,3,8,7,10,30,8,3,10,9,8,1,10,6,8,3,10,19,8,2,10,52,8,2,10,43,9,1,10,58,8,2,9,1,10,2,8,9,18,1,15,2,14,1,15,6,8,5,15,2,14,2,15,6,14,3,15,2,14,16,16,3,17,1,14,2,15,3,18,3,15,1,14,1,15,1,8,1,10,4,8,1,15,1,18,1,15,3,14,7,15,2,8,5,15,5,8,4,18,1,14,2,18,2,3,2,18,1,4,9,19,8,4,14,19,6,4,8,19,7,4,2,18,4,8,4,15,2,8,4,15,13,14,4,15,4,14,6,15,2,14,13,15,1,8,4,15,1,14,2,15,1,8,4,15,1,14,7,15,1,8,2,15,4,8,1,10,2,8,3,10,3,8,8,10,4,8,7,18,4,8,3,10,1,8,16,15,3,8,3,18,1,15,2,18,1,8,5,15,1,14,3,15,1,8,5,10,1,8,1,18,1,14,2,15,1,8,14,18,2,3,1,14,1,8,6,15,3,18,2,3,2,18,1,19,4,4,58,19,2,4,2,18,1,3,2,14,1,18,1,8,3,7,2,8,2,10,2,8,4,15,4,14,3,15,1,8,2,15,2,8,2,18,3,8,3,15,2,18,1,8,4,15,1,14,4,15,2,18,2,8,1,18,5,3,2,18,1,4,2,19,5,4,66,19,10,4,21,19,3,18,2,4,2,18,1,3,2,18,3,3,2,18,1,4,3,3,2,4,2,19,4,4,2,18,1,4,6,18,1,3,1,18,1,4,1,19,9,4,12,19,12,4,2,18,1,3,2,18,1,10,1,8,3,18,1,4,16,10,4,4,13,3,3,18,1,10,2,8,1,18,7,4,8,19,1,4,1,19,4,4,4,18,6,8,5,18,1,8,2,9,2,18,6,10,5,9,1,8,2,18,4,8,1,10,1,9,1,8,1,18,21,9,4,8,1,18,2,8,1,18,4,8,3,18,5,15,1,14,4,3,2,14,1,18,2,8,2,9,2,18,1,3,1,16,6,3,1,18,2,3,4,18,2,3,4,16,8,3,3,16,1,3,1,16,5,3,2,16,4,3,1,18,1,4,4,3,3,4,8,19,5,4,10,18,2,4,3,19,7,4,196,19,8,4,3,18,1,3,2,10,2,3,3,18,1,9,1,3,2,16,1,3,2,18,1,3,1,16,2,3,1,18,4,3,1,16,2,3,1,18,1,8,1,10,1,8,1,18,3,8,4,18,1,15,1,14,1,3,3,18,1,9,4,18,1,3,4,18,2,4,4,3,2,4,3,18,1,4,1,18,1,3,1,16,141,3,5,18,4,4,7,18,1,19,1,4,514,},
{4,144,19,16,4,21,3,1,16,3,3,2,4,235,10,1,4,2,18,6,8,2,18,8,8,1,18,1,8,2,10,20,8,1,10,3,4,15,18,8,10,14,8,3,10,7,18,7,10,2,18,4,9,3,18,3,3,2,16,3,3,7,16,2,3,2,18,1,3,1,16,7,3,1,18,3,3,1,18,1,10,8,8,4,10,40,8,1,18,3,8,1,10,4,8,1,18,1,3,1,18,2,8,1,10,4,8,1,3,6,18,1,10,1,8,1,18,1,3,2,14,3,18,3,14,3,18,6,8,1,10,7,8,1,10,13,8,14,10,3,8,4,10,1,8,1,3,1,16,8,3,2,18,2,10,6,18,3,8,1,10,23,8,1,10,4,8,2,18,1,8,2,10,56,8,6,10,5,8,13,15,1,8,2,10,1,8,2,18,1,15,1,18,1,8,3,10,3,8,3,10,3,8,9,10,4,8,1,18,1,8,2,10,34,8,1,10,16,8,3,10,74,8,2,10,14,8,1,10,88,9,1,10,3,8,9,18,1,15,9,8,5,15,2,14,3,15,6,14,2,15,3,14,7,15,1,14,6,16,5,14,2,15,2,18,4,14,1,18,1,8,1,10,5,8,1,15,5,14,7,15,2,8,1,15,2,8,2,15,2,8,7,15,3,18,1,15,1,3,3,18,1,4,8,19,7,4,15,19,5,4,9,19,8,4,2,18,2,8,11,15,6,8,1,15,1,8,4,15,2,14,3,15,3,14,7,15,2,14,3,15,2,14,8,15,2,8,3,15,1,14,3,15,1,8,3,15,1,14,2,16,1,3,1,14,1,3,1,14,2,15,3,14,1,15,1,8,2,10,2,8,3,10,4,8,7,10,4,8,9,18,1,8,4,10,2,8,16,18,2,8,8,18,2,8,2,18,1,14,3,7,1,8,2,10,4,8,1,18,1,14,2,15,1,8,13,18,3,3,1,18,1,8,6,15,3,8,2,18,1,3,1,18,1,19,4,4,58,19,3,4,2,3,3,14,1,8,3,7,2,8,2,10,2,8,3,15,3,8,1,15,1,14,3,15,1,8,2,15,2,8,2,18,1,15,2,18,1,8,1,18,1,15,1,18,2,8,4,18,1,14,3,15,2,18,2,8,1,9,1,18,2,3,2,18,4,4,3,19,3,4,69,19,7,4,19,18,1,4,5,18,4,3,2,14,1,18,3,3,2,18,2,4,1,18,1,3,2,4,2,19,2,4,12,18,2,4,2,19,8,4,13,19,11,4,2,18,1,3,2,18,1,4,1,8,1,10,2,4,16,10,5,4,13,18,1,3,2,18,1,10,2,8,1,18,6,4,9,3,1,19,1,4,1,19,2,4,5,18,6,8,3,18,1,15,3,18,1,9,5,18,3,10,4,8,5,18,2,8,1,9,1,10,1,9,1,8,1,18,4,8,2,18,14,9,1,10,4,9,1,18,7,8,2,18,5,15,1,14,1,3,2,14,2,3,1,14,2,18,3,8,3,14,1,3,1,16,1,3,1,16,4,3,5,16,2,3,3,16,3,3,2,16,5,3,4,16,7,3,2,16,5,3,1,4,4,3,2,18,1,4,8,19,5,4,13,19,9,4,199,19,6,4,2,3,3,18,1,10,1,18,3,10,2,18,1,3,4,18,1,3,1,16,2,3,1,18,3,3,2,16,2,3,1,18,1,10,3,8,1,18,1,15,1,8,2,9,1,8,1,18,1,15,2,3,3,18,1,9,1,18,2,9,1,18,1,3,5,18,1,4,4,3,1,18,1,4,6,3,1,16,141,3,7,18,3,4,5,3,3,4,514,},
{4,144,19,16,4,11,19,4,4,5,18,1,3,1,16,2,3,2,4,234,10,6,18,4,8,1,10,1,8,1,18,8,8,4,10,19,8,2,10,2,4,25,10,5,8,2,10,7,8,1,10,8,18,9,3,3,18,2,10,1,18,1,3,2,16,6,3,2,16,8,3,8,16,1,3,1,18,1,10,2,18,3,10,52,8,4,18,1,8,1,10,3,8,1,14,1,3,3,18,1,10,4,18,1,3,1,16,2,3,2,18,1,8,1,9,1,18,1,3,3,14,1,18,1,8,1,18,1,3,4,14,2,18,4,8,2,10,11,8,4,10,6,8,14,10,5,8,2,10,1,18,1,3,1,16,8,3,3,18,1,9,1,10,4,8,1,18,2,8,1,10,24,8,1,10,5,8,3,10,55,8,18,15,2,8,11,15,3,18,1,8,2,10,8,8,14,18,3,8,1,10,52,8,1,10,14,8,6,10,56,8,2,10,13,8,2,10,91,8,11,18,2,15,2,14,4,15,2,8,4,15,2,14,3,15,3,8,1,15,3,14,1,15,4,14,3,15,3,14,7,17,1,16,5,14,2,15,2,18,1,14,3,18,1,10,6,18,1,15,4,14,8,15,6,8,8,15,5,18,2,14,1,3,3,18,5,4,3,19,6,4,10,19,10,4,10,19,9,4,3,8,11,15,8,8,5,15,2,14,2,15,3,14,11,15,3,14,5,15,6,8,3,15,1,14,2,15,1,8,3,15,1,14,2,17,1,16,2,3,1,14,3,15,2,14,1,15,1,8,7,9,1,10,4,8,3,15,2,8,1,10,4,8,26,10,3,8,7,10,5,8,1,15,1,14,1,18,1,8,2,15,1,14,3,8,2,10,5,8,2,18,1,8,9,15,1,8,4,18,5,8,6,14,3,15,1,8,1,18,1,3,2,19,4,4,58,19,4,4,1,3,3,14,1,15,1,8,1,15,1,14,2,7,1,8,6,15,3,8,2,15,1,14,1,15,2,8,2,15,2,8,2,15,1,14,1,15,2,18,2,15,2,18,1,8,4,18,1,15,1,14,1,15,1,18,1,8,4,9,1,18,2,3,3,18,2,4,101,18,1,4,7,18,3,3,1,14,1,18,11,4,6,18,1,4,10,18,2,4,4,19,7,4,15,19,8,4,27,10,1,18,3,4,13,18,1,3,2,18,1,10,2,18,2,8,2,18,2,10,1,4,9,3,1,19,1,4,8,18,5,8,1,9,1,8,1,15,1,14,3,15,1,8,1,9,1,10,2,9,3,18,1,8,2,10,1,9,1,8,9,9,2,8,2,18,4,8,3,18,13,10,5,9,1,18,7,8,1,18,5,15,2,14,2,3,1,14,3,18,4,15,1,18,3,3,3,14,1,3,1,16,2,3,2,16,1,3,1,18,1,3,1,16,3,3,3,16,2,3,2,16,5,3,5,16,6,18,1,3,1,16,4,3,1,18,1,4,4,3,2,18,1,4,1,3,1,18,1,4,5,19,5,18,1,3,3,4,8,19,5,4,12,19,4,4,189,19,6,4,2,3,2,4,9,18,1,3,2,18,1,3,4,18,1,8,1,18,1,3,2,16,3,14,1,10,2,8,1,18,1,14,2,18,1,8,1,9,1,8,1,18,2,8,1,18,1,3,2,18,9,3,2,18,5,3,2,18,1,4,5,3,1,16,138,3,1,16,2,3,18,19,1,4,513,},
{4,144,19,15,4,11,19,6,4,4,18,1,3,1,16,2,3,1,18,1,4,233,10,2,8,3,10,9,18,3,3,2,18,3,8,1,10,4,8,1,10,17,8,1,10,3,4,26,10,1,8,4,10,11,8,1,18,1,10,4,18,3,10,1,18,4,3,2,16,2,3,5,16,6,3,2,16,10,3,2,18,3,10,1,18,1,3,1,18,1,10,4,18,1,8,1,10,53,8,3,18,1,8,1,10,4,3,2,16,1,3,1,14,1,10,3,18,1,3,1,16,4,3,1,18,1,9,1,8,1,14,1,3,1,16,2,3,1,18,1,8,1,18,1,3,3,14,2,18,2,8,4,10,12,8,6,10,4,8,16,10,3,8,3,14,1,16,9,3,4,18,2,9,2,18,1,3,2,14,1,8,1,10,86,8,19,15,4,8,7,18,1,15,2,18,1,8,3,10,9,8,13,18,5,8,1,10,5,8,2,10,59,8,7,10,71,8,2,10,30,9,1,10,60,8,3,10,1,9,1,8,2,18,3,8,3,15,2,14,5,15,2,8,2,15,3,14,3,15,2,8,3,15,2,14,1,15,10,14,9,17,1,16,3,17,1,14,2,15,1,14,1,3,1,14,2,8,1,10,5,9,1,18,1,15,4,14,9,15,5,8,3,9,2,8,2,15,9,14,1,3,7,18,1,4,2,19,6,4,1,18,1,3,1,18,1,4,6,19,10,4,10,19,10,4,2,8,6,15,1,8,4,15,3,8,4,15,3,8,5,15,5,14,11,15,4,14,3,15,3,8,2,15,2,8,3,15,2,14,1,15,2,8,2,15,2,14,3,3,2,14,3,15,2,14,1,15,1,8,5,18,3,9,1,10,3,8,2,15,3,8,2,10,3,8,19,15,3,8,3,10,4,8,7,10,6,15,1,14,1,15,1,8,3,15,1,14,2,8,2,10,1,8,2,10,4,8,8,15,3,18,1,8,3,18,5,8,5,15,1,14,4,18,2,3,2,4,1,19,2,4,42,19,3,4,1,18,1,3,1,19,1,4,10,19,4,4,1,3,4,14,1,15,1,14,3,7,1,8,6,15,3,8,2,15,3,8,3,15,2,8,2,15,1,14,2,15,5,8,6,15,1,14,1,15,1,8,1,10,2,8,1,18,4,3,2,18,2,4,102,18,1,4,3,18,6,15,1,18,5,9,1,10,2,18,5,4,5,18,1,3,1,18,1,4,4,18,7,4,4,19,8,4,14,19,8,4,26,18,6,4,13,3,2,18,5,10,2,18,2,4,20,18,4,8,2,10,1,18,1,3,3,14,1,18,1,8,1,9,1,10,4,9,1,8,5,18,2,8,3,9,5,8,3,18,4,8,4,18,12,9,1,10,4,9,1,18,6,8,2,18,5,14,8,18,1,8,2,15,1,14,1,18,1,14,1,3,3,18,3,3,4,16,1,3,1,18,1,3,1,16,2,3,4,16,2,3,2,16,4,3,1,18,1,3,4,16,6,3,2,16,3,3,2,18,2,4,2,18,1,3,2,18,2,3,2,4,6,19,4,3,1,16,2,3,1,18,1,4,3,18,2,4,2,19,4,4,2,3,2,4,8,19,6,4,188,19,6,4,14,18,1,3,1,18,2,3,3,18,4,3,4,14,1,10,2,8,1,14,2,15,1,18,1,8,1,10,1,9,1,8,2,10,1,9,1,18,4,3,1,14,1,18,1,9,3,18,8,3,2,18,1,4,4,18,1,3,1,16,1,3,2,16,134,3,14,16,3,3,5,19,1,4,513,},
{4,144,19,8,4,18,19,6,4,4,18,1,3,2,16,1,3,2,18,1,4,231,9,1,8,5,10,9,8,1,18,2,3,2,18,2,8,2,10,3,8,3,10,16,8,1,10,3,4,2,19,6,4,18,10,1,18,4,10,11,18,4,9,2,18,2,10,5,18,1,3,1,16,3,3,2,16,8,3,3,16,9,3,1,18,1,8,1,10,5,8,2,10,9,8,1,10,51,8,1,18,1,8,1,10,4,18,1,3,1,16,1,3,2,10,3,3,1,16,5,3,1,18,1,9,1,8,1,18,1,3,2,16,1,3,1,14,1,18,2,14,4,18,1,8,2,10,16,8,7,10,2,8,2,10,2,8,2,10,2,8,15,14,1,3,1,16,9,3,2,18,5,14,1,3,3,14,1,8,1,10,52,8,1,10,31,8,1,18,2,8,5,10,3,8,9,15,2,8,9,15,1,14,1,18,1,8,1,10,7,8,12,10,4,8,3,18,4,8,1,10,6,8,2,10,57,8,7,10,51,8,1,10,53,8,1,10,60,8,1,10,3,8,2,18,3,8,3,15,2,14,4,15,7,14,4,15,2,8,3,15,1,14,2,15,7,8,1,15,2,14,10,17,1,16,2,17,1,14,3,3,2,14,1,18,1,9,1,10,5,9,1,18,1,15,3,14,10,15,5,8,3,9,3,8,1,15,9,14,2,3,7,18,1,4,5,19,1,4,2,18,1,3,2,4,2,18,1,3,1,18,1,4,3,19,8,4,12,19,9,4,1,18,1,8,3,15,2,7,1,8,10,18,2,15,1,18,1,8,6,15,5,14,5,15,3,14,2,15,1,8,2,15,6,8,9,15,2,14,1,15,6,14,7,15,1,8,1,15,4,18,1,15,3,18,3,8,1,10,2,8,3,7,1,8,3,10,3,8,1,18,2,8,4,10,2,8,10,15,3,8,3,10,2,8,9,10,5,8,1,15,1,14,1,18,1,8,1,10,1,8,2,15,2,8,2,10,1,8,3,10,5,8,1,18,1,8,2,18,1,15,1,18,2,14,1,18,1,8,1,10,1,18,6,8,5,15,1,14,1,3,3,14,1,3,2,18,1,4,44,19,4,3,5,4,10,19,3,4,1,18,1,3,3,18,2,14,4,15,1,8,4,15,5,8,1,15,2,8,4,15,2,8,2,15,1,14,2,15,2,18,1,15,2,8,6,15,3,8,1,10,2,8,1,18,7,4,2,19,2,4,103,18,1,3,1,18,3,15,2,8,2,18,3,9,1,10,2,9,1,18,6,4,3,18,4,4,4,18,5,9,1,4,4,19,8,4,14,19,6,4,28,18,1,3,3,18,3,4,12,18,7,10,2,18,3,4,17,18,7,8,1,10,1,18,1,3,3,18,2,9,2,10,5,9,1,8,2,18,3,8,5,10,3,9,1,8,3,18,4,8,4,18,8,9,1,18,7,8,1,18,7,8,2,18,5,14,8,18,4,14,1,18,1,14,1,3,2,14,1,18,3,3,6,18,1,3,3,18,1,9,1,3,3,16,1,3,1,16,5,3,1,18,1,3,7,16,3,3,1,16,3,3,10,18,2,3,2,18,1,4,2,18,2,4,3,19,2,18,1,16,3,3,1,18,1,4,2,18,1,3,1,18,1,4,2,19,4,4,1,3,1,16,1,3,1,4,7,19,6,4,188,19,6,4,2,19,2,4,10,18,12,14,1,3,2,14,1,10,2,15,1,14,2,18,1,8,1,9,1,10,2,9,1,10,4,8,1,18,1,3,3,15,1,9,1,10,1,8,1,18,8,3,1,18,1,4,4,18,1,3,1,16,1,3,1,4,2,3,1,16,134,3,6,16,3,3,3,16,6,3,2,4,515,},
{4,145,19,6,4,9,18,2,4,8,19,5,4,5,18,1,3,4,18,1,8,1,10,2,4,228,18,1,9,1,8,5,10,10,18,5,8,2,10,3,8,4,10,20,4,2,19,6,4,8,19,5,4,5,18,5,10,11,8,1,18,3,9,2,18,2,10,4,18,1,3,1,16,9,3,2,16,2,3,5,16,8,3,1,18,1,10,1,9,1,18,2,10,63,8,3,18,1,8,1,10,4,18,1,3,1,16,2,3,1,18,2,3,1,16,6,3,1,18,3,3,2,16,2,3,1,14,1,18,2,15,2,18,1,8,3,10,17,8,7,10,2,8,2,10,2,8,2,10,2,8,4,10,1,8,2,18,1,8,7,15,1,14,1,3,2,16,7,3,3,18,1,3,1,18,2,3,1,16,2,3,1,14,1,8,2,10,51,8,1,10,31,8,1,18,2,8,5,10,2,8,1,18,2,10,3,8,15,18,1,15,1,8,1,10,8,8,3,18,1,8,1,10,12,8,8,10,26,8,1,10,36,8,7,10,28,8,3,10,26,8,1,10,66,18,3,10,26,9,1,10,17,8,8,15,5,14,2,15,6,14,3,15,3,8,3,15,1,14,2,15,2,8,1,15,3,8,3,15,2,14,1,15,1,14,8,16,2,17,1,14,2,3,3,18,2,10,6,9,1,8,1,18,1,15,1,14,11,15,6,8,3,9,2,8,1,15,4,8,1,15,2,14,1,15,2,14,1,17,1,16,2,3,2,16,1,3,2,18,1,4,2,18,2,4,3,18,1,3,2,18,2,3,4,18,1,4,1,19,8,4,16,19,5,4,1,18,1,8,2,15,2,7,2,8,11,18,2,8,8,15,3,14,5,15,1,8,3,15,2,8,4,15,6,8,5,15,1,8,2,15,3,14,2,15,2,8,2,15,1,14,5,15,1,8,2,15,8,18,2,14,1,18,1,8,10,10,2,8,1,15,2,18,2,8,14,18,1,15,1,18,1,8,16,10,2,8,2,18,1,15,1,8,2,10,2,8,2,15,1,8,6,10,5,8,1,18,1,8,2,18,1,14,1,18,4,10,2,18,8,8,3,15,1,14,1,3,3,18,2,3,1,18,1,4,45,19,3,18,1,3,1,16,2,3,1,4,15,18,1,3,1,18,4,14,4,15,1,8,2,15,9,8,3,15,3,8,1,15,1,14,3,15,1,18,1,8,1,15,1,18,1,8,3,15,1,18,1,15,4,10,3,18,1,14,1,18,5,4,3,19,2,4,6,19,2,4,91,18,1,4,3,18,1,3,1,14,1,18,2,15,2,8,2,15,1,18,2,8,1,10,2,9,1,8,2,18,12,4,3,9,2,18,2,9,1,10,1,4,4,19,8,4,14,19,5,4,29,18,1,3,3,14,1,18,2,4,14,18,2,3,2,18,3,3,3,18,1,4,15,18,8,8,1,10,1,18,1,3,3,18,1,9,2,18,1,9,1,10,3,9,1,10,1,8,2,18,2,8,7,10,3,8,2,18,1,8,2,18,3,8,1,9,2,8,1,18,3,8,2,18,2,9,2,18,6,8,1,18,7,8,2,15,2,18,1,8,1,18,1,14,3,15,1,14,4,15,1,18,5,14,3,18,2,14,3,3,4,14,1,3,4,18,1,3,6,16,4,3,7,18,1,3,2,16,7,3,6,16,2,3,2,18,1,3,4,18,1,3,5,4,1,19,2,4,1,3,1,16,3,3,1,18,2,3,2,18,1,4,7,3,1,16,1,3,1,18,4,4,3,19,5,4,191,19,3,4,3,19,3,4,10,18,3,10,4,18,2,8,2,18,2,14,1,18,1,10,2,15,1,14,2,18,1,8,1,10,9,8,1,14,1,3,2,18,1,10,1,8,1,18,11,4,4,3,1,16,2,3,1,4,3,3,2,16,132,3,4,16,6,3,2,16,6,3,1,19,1,4,515,},
{4,160,3,3,18,2,4,5,19,2,4,3,18,1,3,2,18,1,10,1,18,2,3,2,18,1,10,3,4,230,8,6,10,10,8,1,18,3,8,2,10,3,8,5,10,20,4,2,19,6,4,8,19,9,4,5,10,4,8,1,10,7,8,1,18,3,10,2,18,2,10,3,18,1,3,1,16,6,3,1,16,1,3,2,18,2,3,1,16,3,3,4,16,7,3,1,18,1,10,64,8,4,18,4,10,4,18,1,16,4,3,2,16,7,3,1,18,1,14,1,3,2,16,3,3,1,18,1,8,2,18,2,8,4,10,17,8,7,10,2,8,2,10,1,8,3,10,2,8,4,10,2,8,1,18,1,8,7,18,2,3,1,16,9,3,5,18,1,3,1,16,2,3,1,14,1,8,1,10,85,18,2,10,2,8,2,18,1,8,1,10,1,8,1,18,1,8,1,10,4,8,10,18,1,8,6,10,4,8,9,10,8,8,1,10,9,8,5,10,6,8,2,10,20,8,1,10,5,8,1,10,22,8,4,10,25,8,3,10,6,8,4,10,24,8,2,10,5,8,1,10,52,4,12,10,24,9,1,8,1,10,16,8,7,18,1,15,14,14,3,15,3,8,2,15,2,14,3,15,1,8,2,15,2,8,3,15,5,14,2,16,3,17,2,16,2,17,1,14,2,3,3,18,1,9,1,10,3,9,1,18,1,9,3,18,1,14,12,15,5,8,1,15,2,8,4,15,2,8,4,15,1,14,1,15,2,14,1,3,1,16,1,3,1,14,1,3,9,18,2,10,2,18,1,3,1,18,1,3,2,16,2,3,2,4,2,19,9,4,14,19,5,4,1,10,1,8,1,15,1,14,2,7,1,8,12,18,1,8,3,15,1,8,2,10,1,8,2,15,2,14,6,15,1,8,1,10,2,8,7,15,3,14,1,15,1,8,5,15,3,8,1,15,2,14,2,15,2,8,3,14,5,15,1,8,6,14,1,15,1,18,1,8,1,18,2,14,2,8,8,7,1,8,3,15,1,14,2,15,1,18,3,8,3,18,5,8,11,18,2,15,1,18,2,8,1,18,1,8,4,18,1,8,2,15,2,8,6,10,1,8,1,15,2,8,5,10,4,8,5,18,1,14,3,18,1,8,1,10,3,18,7,8,3,15,1,14,1,3,2,14,1,18,4,4,41,3,4,4,1,19,2,4,1,3,1,16,2,3,1,4,18,18,1,9,1,8,1,15,1,14,3,7,1,8,1,7,1,14,2,15,7,8,2,15,7,14,2,15,1,8,2,15,1,8,3,15,6,18,1,10,3,18,1,3,1,18,5,4,2,19,3,4,5,19,1,3,2,19,1,4,89,18,1,3,1,18,1,4,2,18,5,15,4,14,1,18,2,8,1,18,2,9,2,8,1,18,14,10,2,9,1,18,1,9,1,10,2,4,6,19,6,4,49,18,1,3,2,14,1,3,2,19,1,4,14,18,1,3,2,18,2,3,5,4,13,18,4,10,2,18,4,8,1,10,1,18,1,3,2,18,1,10,3,18,2,9,2,18,1,9,2,8,2,18,1,8,5,18,2,8,2,10,2,8,2,18,1,8,2,18,4,8,1,9,1,8,1,18,3,9,2,18,2,10,2,9,1,18,4,8,1,9,1,10,1,8,1,18,4,8,1,9,1,18,1,14,2,18,1,8,1,18,1,14,3,18,1,15,1,14,2,15,1,18,11,3,2,14,1,3,2,16,1,3,2,16,8,3,1,14,1,3,1,16,3,3,1,18,1,3,5,18,2,3,1,16,2,3,2,16,4,3,2,16,2,3,2,16,2,3,13,4,1,19,2,4,1,3,2,16,2,3,1,18,2,3,2,4,4,18,4,3,6,18,3,4,1,19,3,4,198,19,5,4,10,18,2,4,5,18,1,10,2,18,3,8,1,9,1,8,1,18,1,15,1,18,3,8,1,10,4,18,1,8,1,10,3,18,1,14,2,8,1,9,1,8,1,18,11,4,3,18,1,3,1,16,2,3,1,18,1,4,3,3,1,16,133,3,2,16,8,3,2,16,5,3,1,18,1,19,1,3,3,19,1,4,510,},
{4,160,18,1,3,3,18,1,4,5,19,1,4,2,3,5,18,1,10,1,18,4,10,5,4,3,19,3,4,223,9,1,8,2,10,4,18,3,8,1,18,2,8,1,10,2,8,5,10,3,8,8,10,18,4,2,19,6,4,8,19,10,4,4,10,14,18,2,10,2,18,4,3,1,16,10,3,1,18,1,10,2,18,1,3,1,16,3,3,1,18,1,3,3,16,1,3,5,18,1,10,4,8,2,10,8,8,2,10,47,8,2,18,9,8,1,18,1,3,1,16,13,18,2,3,1,16,5,14,1,18,1,8,2,18,2,8,5,10,16,8,1,10,8,8,7,10,1,8,4,10,1,8,7,10,1,8,4,3,1,16,9,3,2,18,5,3,2,14,1,18,1,8,1,10,85,8,2,10,4,8,4,18,2,10,5,8,8,15,1,18,3,8,5,18,5,8,3,10,10,8,5,10,7,8,4,10,35,8,2,10,17,8,8,10,13,8,1,10,12,8,1,10,10,8,1,10,24,8,2,10,58,4,12,10,24,9,2,10,10,9,1,10,4,8,4,9,1,8,3,15,15,14,3,15,6,14,4,15,6,8,2,15,4,14,3,16,2,17,1,14,5,15,2,3,2,18,2,10,4,18,2,9,2,8,1,18,1,14,11,15,5,8,2,15,3,8,9,15,1,14,1,15,2,14,5,3,2,16,1,3,7,9,1,10,2,18,1,3,4,16,3,3,1,18,1,4,2,19,10,4,12,19,4,4,2,18,1,8,1,15,2,14,1,15,1,8,13,18,1,8,8,15,4,14,3,15,1,8,1,10,3,8,7,15,1,14,3,15,1,8,1,10,1,8,3,15,3,8,1,15,2,14,2,15,3,8,1,15,1,14,3,15,3,8,3,15,2,8,5,18,2,14,1,18,1,8,1,10,5,8,2,14,2,8,2,15,2,14,1,18,5,8,2,18,6,8,10,18,1,15,3,18,2,15,2,8,2,15,1,14,1,18,1,15,1,14,1,15,1,8,6,10,1,8,1,18,1,15,1,8,14,18,5,8,1,10,2,18,6,3,1,14,1,8,3,14,1,3,2,14,1,18,2,4,43,18,1,16,4,3,1,4,4,3,1,16,1,3,1,19,1,4,17,18,4,14,3,15,1,7,1,14,2,15,19,8,7,15,2,8,2,15,3,8,1,10,2,18,1,3,1,18,3,4,3,19,4,4,6,3,3,4,90,18,6,8,1,18,1,15,4,14,2,15,1,18,4,8,2,18,9,14,2,3,2,18,1,8,1,9,2,18,2,8,1,10,2,4,7,19,5,4,49,18,1,3,2,14,1,3,2,19,1,4,15,18,4,3,5,4,3,19,1,4,8,18,5,10,3,18,3,8,1,10,1,18,1,3,2,10,4,18,6,9,1,8,2,18,1,8,2,10,2,8,2,18,2,8,9,18,3,8,3,18,3,9,2,18,2,10,3,9,1,18,3,8,1,10,2,9,1,18,4,8,2,18,1,14,2,18,2,14,3,15,1,18,2,14,2,18,6,15,2,18,3,14,1,3,2,14,2,3,4,16,8,3,1,18,1,3,1,16,3,3,6,18,2,3,2,16,12,3,2,16,2,3,2,16,2,3,4,16,1,3,4,18,1,19,2,4,1,3,5,18,2,3,1,18,1,4,4,3,2,18,2,3,8,18,1,4,1,19,2,4,199,19,5,4,18,10,2,18,2,8,4,18,5,9,1,10,3,8,1,18,2,10,5,9,1,8,2,18,7,10,1,18,7,3,1,16,3,3,1,18,1,4,4,3,1,16,142,3,3,16,4,3,7,4,510,},
{4,162,18,6,4,4,18,1,3,1,16,2,3,1,18,1,10,2,8,1,18,3,8,1,10,1,8,2,10,2,4,2,19,4,4,3,18,2,4,216,18,1,8,1,10,2,18,11,8,6,10,3,8,7,18,2,10,4,8,3,10,5,8,2,10,4,4,2,19,6,4,8,19,10,4,4,10,7,18,4,10,3,18,2,9,1,10,2,18,2,3,1,16,6,3,2,16,4,18,1,9,1,3,3,16,3,3,4,18,7,8,1,10,13,8,4,10,40,8,3,10,4,8,2,18,4,8,1,18,1,3,4,16,13,3,1,18,2,3,1,16,4,3,1,14,1,15,1,18,2,15,1,18,1,8,5,10,25,8,8,10,1,8,9,10,3,8,3,18,1,14,1,3,1,16,7,3,2,18,1,9,1,10,4,8,4,10,87,8,2,10,5,8,1,18,3,8,1,10,1,8,3,10,1,8,3,18,1,15,3,18,1,8,1,18,2,8,3,18,1,14,4,18,1,8,3,10,8,8,8,10,3,8,2,10,3,8,3,10,3,8,3,10,50,8,6,10,12,8,3,10,23,8,2,10,82,4,12,10,41,8,4,10,2,8,2,15,12,14,4,15,3,14,1,15,2,8,1,15,2,14,2,15,3,14,4,15,5,14,11,15,3,3,2,18,1,4,5,18,2,9,1,8,1,15,1,14,1,15,2,14,6,15,8,8,3,15,2,8,1,9,2,8,6,15,1,7,1,8,2,15,1,7,1,14,2,17,1,16,2,3,2,14,5,15,1,8,1,10,2,15,1,3,5,16,1,3,4,18,1,4,2,19,9,4,16,18,3,8,3,15,1,7,2,8,11,18,3,8,3,15,3,8,3,15,1,14,3,15,1,8,1,10,1,8,2,15,2,14,1,18,1,10,2,8,1,14,4,8,1,10,2,8,7,15,1,14,2,15,3,14,5,15,4,8,2,15,1,14,2,15,1,10,2,8,3,18,3,10,5,8,3,14,2,8,3,18,4,8,1,18,1,8,1,10,1,8,1,18,2,8,1,18,3,8,3,18,11,8,1,18,1,14,2,18,1,15,1,14,2,8,2,18,1,15,1,18,1,8,4,10,2,8,2,18,2,8,5,18,5,8,2,18,3,10,3,18,7,3,4,8,2,18,1,3,3,18,2,3,1,18,1,4,35,19,5,4,1,18,1,3,1,16,4,3,2,4,3,3,4,4,16,3,4,18,2,14,6,15,2,14,2,15,3,14,4,15,1,8,8,10,4,8,1,15,1,14,1,15,1,8,2,15,1,14,2,18,1,8,2,18,1,3,2,18,1,4,2,19,6,4,7,18,2,4,4,19,3,4,84,18,4,9,2,15,6,14,2,15,3,18,2,8,2,18,7,14,6,18,4,15,2,18,2,4,16,18,2,4,42,18,1,3,2,14,1,18,3,4,19,18,1,3,4,18,1,4,3,18,1,3,3,18,1,4,5,18,3,10,2,8,1,18,1,8,1,10,4,18,3,10,3,18,1,4,6,10,2,8,1,18,1,8,1,10,1,8,1,10,3,8,3,18,3,8,2,18,2,8,2,18,2,8,2,18,3,8,1,9,2,18,2,10,3,9,1,18,2,14,1,18,1,10,2,9,1,18,7,15,1,18,3,14,3,18,3,14,2,18,3,14,1,18,2,14,2,15,2,14,6,3,4,16,2,3,2,16,4,3,1,14,1,3,2,16,6,3,2,18,1,3,2,16,12,3,3,16,2,3,2,16,2,3,2,16,2,3,9,16,1,3,3,18,4,4,5,3,1,16,1,3,1,18,2,3,3,16,3,3,1,4,8,18,1,4,217,10,2,9,1,18,4,8,1,18,5,10,4,8,1,14,2,8,1,10,5,18,6,3,1,18,1,10,3,18,4,3,2,16,3,3,1,18,1,4,6,3,1,16,141,3,4,16,3,3,7,4,510,},
{4,166,18,2,4,4,3,1,16,3,3,1,18,2,8,1,18,3,8,1,10,2,8,1,18,4,4,1,19,4,4,2,18,1,3,3,4,215,18,1,10,2,8,1,18,7,8,1,18,3,8,4,10,4,8,8,18,2,10,4,8,3,10,4,8,3,10,4,4,2,19,6,4,8,19,10,4,5,10,5,18,5,8,1,10,2,18,1,3,1,18,2,9,1,18,1,3,1,16,6,3,1,18,2,16,4,18,2,3,4,16,3,3,3,18,1,10,19,8,5,10,11,8,2,10,3,8,4,10,20,8,2,10,9,8,1,10,2,18,1,3,3,16,14,3,1,18,2,3,1,16,3,14,1,18,1,14,2,18,4,8,5,10,25,8,9,10,2,8,7,10,3,8,2,18,4,3,2,16,6,3,2,9,1,10,102,8,1,18,1,8,7,10,2,8,2,15,4,8,3,18,2,8,1,18,1,14,1,3,3,14,1,18,1,8,6,10,2,8,11,10,3,8,3,10,2,8,2,10,4,8,3,10,50,8,3,10,15,8,2,10,24,8,3,10,14,8,1,10,66,4,12,18,1,9,1,10,39,8,5,10,1,8,2,18,1,15,11,14,3,15,4,14,1,15,2,8,1,15,2,14,2,15,3,14,6,15,2,14,10,15,5,3,2,18,1,4,5,10,1,9,1,10,1,18,1,14,1,3,1,15,1,18,1,14,5,15,2,8,3,15,4,8,4,15,1,8,1,9,2,8,6,7,2,8,3,7,2,14,1,16,3,3,1,14,6,15,2,8,1,15,1,14,1,17,1,3,10,18,1,4,2,19,9,4,15,18,1,3,1,14,1,15,1,8,3,7,3,8,10,18,3,8,3,15,2,8,4,15,1,14,2,15,1,8,1,10,2,8,1,15,3,14,1,8,1,10,2,18,1,14,1,3,1,14,1,15,1,8,9,15,2,14,2,8,2,14,5,15,1,8,2,15,1,8,3,14,3,15,1,10,2,8,4,18,1,8,1,10,4,8,4,14,2,18,1,8,2,18,4,10,1,18,2,10,1,8,2,18,1,8,2,18,2,8,3,18,1,14,3,18,9,14,6,18,1,8,2,18,2,8,3,10,1,8,4,18,1,8,3,10,1,8,2,18,10,4,3,18,1,3,2,18,2,4,1,18,2,3,3,18,1,8,1,18,1,3,3,18,2,3,2,4,34,19,5,4,1,18,1,3,3,16,5,3,1,4,2,18,1,3,3,4,16,18,1,3,4,18,1,14,1,3,2,14,2,15,1,8,1,15,1,14,2,15,2,14,5,15,1,8,4,10,3,8,2,10,3,8,1,15,1,14,1,15,1,8,2,15,1,14,2,18,1,8,2,18,1,3,1,18,2,4,2,19,6,4,11,19,5,4,85,18,1,3,1,18,2,8,1,15,3,8,2,15,2,14,2,15,2,18,2,15,1,18,5,15,3,14,4,3,1,14,2,15,1,14,5,18,2,4,15,18,1,3,1,18,1,4,41,18,1,3,2,14,2,18,2,4,20,18,1,3,2,18,2,4,2,18,1,3,4,18,7,10,2,18,4,10,6,18,1,10,1,8,2,10,1,4,7,10,2,8,2,10,2,8,2,10,2,8,1,18,5,8,2,18,2,8,6,18,3,8,1,9,2,18,2,9,1,10,2,9,1,18,2,14,1,18,1,10,2,8,1,18,3,8,1,18,2,15,2,18,3,14,3,18,3,15,2,18,2,14,2,15,2,14,7,15,1,14,5,3,6,16,3,3,1,14,1,18,1,14,1,3,1,16,5,3,5,16,12,3,3,16,2,3,2,16,6,3,2,18,1,3,1,16,7,3,1,18,1,9,1,18,2,4,2,18,2,4,1,18,1,3,1,16,1,3,5,16,4,3,1,18,1,4,1,18,2,4,224,18,9,8,2,10,5,18,3,8,3,10,2,18,6,3,1,18,1,10,1,8,1,10,1,18,4,3,2,16,2,3,1,18,1,10,1,18,1,4,5,3,1,16,139,3,5,16,6,3,6,19,1,4,508,},
{4,167,18,1,4,3,18,1,3,1,16,4,3,3,18,2,8,1,10,5,8,1,18,2,4,2,19,3,4,2,3,3,18,1,4,30,19,1,4,3,19,8,4,174,10,2,8,1,18,4,8,7,10,8,8,11,10,2,8,11,10,4,4,2,19,6,4,8,19,12,4,6,10,1,18,2,3,1,18,4,8,2,18,1,3,5,16,6,3,1,18,1,10,2,3,1,16,2,3,1,18,3,3,1,18,1,3,1,16,6,3,1,18,1,10,15,8,1,10,2,8,7,10,9,8,9,10,34,18,1,3,4,16,1,3,6,16,5,3,1,18,2,14,1,3,3,14,1,8,1,10,1,18,1,15,1,18,2,8,2,10,30,8,17,10,4,8,2,18,5,3,3,16,5,3,1,18,5,8,1,10,101,8,9,18,1,15,2,18,1,8,3,18,3,14,5,8,2,10,1,8,2,18,2,8,5,18,1,8,3,10,1,8,3,10,4,8,3,10,2,8,1,10,5,8,3,10,94,8,5,10,18,8,2,10,59,4,12,18,1,10,16,9,1,10,17,9,2,10,4,8,9,18,1,15,11,14,1,15,5,14,1,15,2,8,1,15,2,14,22,15,6,3,1,18,1,4,6,10,3,18,1,14,1,3,1,14,8,15,9,8,3,15,1,8,14,7,2,14,1,16,3,3,1,14,10,3,2,14,2,3,4,14,1,3,4,4,3,19,8,4,15,18,2,15,1,14,1,15,1,8,2,7,3,8,10,18,3,15,1,8,7,15,2,14,1,15,2,8,1,10,2,8,1,15,2,18,1,8,2,10,2,8,1,14,4,18,1,8,5,15,7,8,2,14,5,15,1,8,2,15,1,8,3,14,4,8,1,10,1,8,4,18,1,8,1,10,3,8,5,14,2,18,1,8,1,18,2,4,6,18,3,8,3,18,2,8,3,18,2,14,4,15,1,18,2,15,1,18,3,14,2,15,2,14,2,15,5,8,2,10,2,8,1,15,1,14,1,18,1,8,2,10,4,8,1,18,9,4,5,18,3,4,1,18,4,3,1,18,1,8,2,18,1,3,6,18,1,4,34,19,4,4,1,18,1,3,1,16,1,3,6,16,2,3,1,18,1,3,3,4,18,18,1,3,8,14,1,18,1,15,1,14,3,15,2,14,2,15,1,8,1,15,2,14,1,15,1,8,1,10,4,8,1,15,1,8,1,10,3,8,1,15,1,14,4,15,1,8,2,10,2,18,3,4,2,19,10,4,7,19,4,4,2,19,2,4,83,18,4,15,4,8,2,15,2,14,2,15,5,18,5,15,3,14,9,3,1,14,4,18,2,10,3,4,10,18,4,4,2,19,4,4,35,18,1,3,3,14,1,18,1,4,22,18,1,3,2,18,3,3,2,18,2,3,1,18,4,8,1,10,3,8,1,18,1,3,1,18,2,10,1,8,1,10,6,8,2,10,2,4,6,10,5,8,4,18,8,8,8,18,3,8,2,10,1,9,1,18,3,9,1,10,1,9,1,18,4,10,2,18,4,8,1,18,2,14,2,18,1,8,1,18,1,14,5,15,1,18,2,15,1,14,4,18,3,15,1,14,9,18,2,15,1,14,2,3,6,15,1,18,3,3,1,16,26,3,4,16,2,3,6,16,8,3,1,18,1,3,2,18,6,3,7,16,5,3,1,18,3,4,6,19,5,4,207,19,4,4,4,18,2,3,1,14,1,18,1,8,1,10,9,8,2,18,2,8,3,18,2,8,2,18,2,3,1,18,1,10,3,18,4,3,5,9,1,10,1,18,3,10,3,18,1,3,2,16,137,3,4,16,7,3,2,16,3,3,2,18,1,4,507,},
{4,171,3,2,16,6,3,2,10,9,4,3,19,4,4,1,3,3,18,1,4,25,19,18,4,173,18,1,8,4,10,17,8,16,10,1,8,6,10,5,4,3,19,4,4,9,19,12,4,6,18,1,3,7,18,4,3,3,16,6,3,2,10,3,3,4,18,2,10,2,18,1,3,4,16,3,3,1,18,2,10,2,8,2,10,3,8,3,10,3,8,1,18,1,8,6,18,2,8,3,10,4,8,1,10,4,8,2,18,3,8,1,10,30,9,1,10,4,18,1,3,2,18,2,3,2,18,1,9,1,18,2,3,5,18,1,8,1,9,1,18,1,3,3,18,1,10,3,18,1,14,2,15,1,8,2,10,30,8,2,10,3,8,11,10,2,8,5,18,3,8,2,18,2,3,2,16,4,3,2,18,5,8,2,10,4,8,1,10,94,8,1,18,1,15,1,8,7,18,1,8,7,18,1,15,1,14,2,15,1,8,2,10,2,8,1,15,1,14,2,18,1,8,2,18,1,14,2,15,1,8,2,10,3,8,1,10,3,8,4,10,1,8,1,10,6,8,3,10,117,8,3,10,13,8,1,10,44,4,12,10,17,9,1,10,17,9,3,10,5,8,8,18,1,15,3,18,1,8,3,15,9,14,1,15,4,14,22,15,7,18,2,4,6,10,2,9,1,18,1,14,10,15,9,8,18,15,1,7,1,14,2,17,2,14,3,3,4,14,4,17,1,14,4,3,1,14,4,3,3,18,1,4,3,19,7,4,15,18,3,14,2,8,3,7,1,8,22,15,2,8,4,10,2,8,4,10,3,8,2,14,3,15,2,14,1,15,1,8,2,15,1,14,4,15,5,14,5,15,1,8,2,15,1,8,1,10,2,15,1,14,3,8,1,10,1,8,5,10,4,8,5,14,2,18,3,4,8,18,2,10,3,8,2,10,2,8,2,18,3,14,7,15,1,14,4,15,3,14,2,15,3,8,2,10,1,8,2,14,2,18,1,8,1,10,5,8,1,18,9,4,1,19,4,4,8,18,2,8,1,18,4,3,4,18,1,4,33,19,5,4,1,3,1,16,2,3,2,14,1,18,1,14,1,3,1,16,2,3,3,18,1,4,2,19,3,4,16,18,2,3,5,14,4,3,2,14,4,8,2,15,2,14,1,15,1,8,1,10,4,15,1,14,2,8,1,10,3,8,1,14,2,3,1,14,1,8,2,10,3,8,1,18,1,4,3,19,11,4,6,19,4,4,2,19,6,4,79,18,4,14,1,15,2,8,3,15,2,14,1,15,4,18,1,15,1,18,3,15,8,14,5,3,5,14,2,15,1,18,1,10,2,18,1,4,7,18,3,4,4,19,6,4,35,18,1,3,3,18,1,4,22,18,6,3,2,18,3,15,1,18,1,8,3,10,3,18,1,3,3,18,1,8,2,10,1,18,1,10,1,8,4,10,3,4,6,10,5,8,1,10,2,8,1,18,8,8,5,9,2,8,1,18,1,8,4,10,2,18,4,9,2,18,9,8,1,18,3,14,2,18,3,15,1,14,4,15,1,18,2,14,5,15,1,18,2,15,1,14,4,3,1,14,2,3,1,14,1,18,3,14,1,3,8,14,1,18,1,10,1,18,1,3,1,16,24,3,13,16,3,3,2,16,3,3,6,18,4,3,3,16,9,3,1,18,3,4,6,19,6,4,206,19,6,4,3,18,1,3,2,18,1,9,1,10,4,8,1,10,4,9,1,8,2,18,2,8,2,18,2,10,2,18,5,10,2,18,7,3,1,18,1,10,2,18,3,10,4,9,1,3,2,16,136,3,4,16,14,3,1,18,1,4,506,},
{4,161,19,1,4,1,19,3,4,5,3,2,16,1,3,2,16,3,3,2,10,9,4,3,19,4,4,1,18,1,3,1,18,1,4,25,19,10,4,4,19,6,4,160,19,6,4,5,18,1,8,5,10,2,8,3,10,11,8,14,10,5,8,2,18,1,8,2,10,5,4,16,19,14,4,4,3,6,16,1,3,2,10,1,9,3,18,1,3,1,16,6,3,1,18,1,10,1,18,8,10,2,18,1,3,7,18,2,10,2,8,3,10,3,8,2,10,4,18,3,8,4,18,4,8,3,10,1,8,3,10,4,8,2,18,3,8,1,10,35,8,1,3,2,8,1,10,1,8,2,10,2,18,2,3,2,18,2,10,3,8,1,18,1,3,2,14,1,8,1,10,1,8,1,18,1,14,4,15,1,8,2,10,1,8,5,10,29,8,9,10,3,8,1,15,1,8,2,18,6,8,1,18,2,3,1,16,4,3,1,18,3,8,1,18,4,8,1,10,2,18,2,10,80,8,1,10,13,8,1,18,1,15,1,14,1,15,1,8,19,10,2,8,1,18,1,14,3,15,1,8,2,15,1,14,2,15,1,18,1,8,1,10,5,8,1,10,1,8,6,10,4,8,1,10,1,8,3,10,117,8,3,10,58,4,12,10,36,9,2,10,6,8,8,15,2,18,1,8,6,18,1,15,6,14,1,15,4,14,22,15,2,8,1,15,4,18,2,4,6,10,1,8,1,18,2,14,3,15,3,14,4,15,9,8,6,9,1,8,7,15,6,14,6,17,1,16,3,14,4,17,2,14,4,17,1,14,6,3,2,18,1,4,3,19,6,4,15,18,2,15,1,14,2,15,1,8,2,15,1,8,14,10,2,8,3,15,2,8,3,10,3,8,6,10,3,8,1,18,1,15,1,14,3,15,2,14,2,8,2,15,1,14,5,15,3,14,6,15,2,8,1,15,1,8,1,10,2,8,1,15,2,18,1,8,1,10,3,8,3,10,3,8,6,18,1,14,1,18,2,4,9,18,2,10,9,8,2,18,2,14,11,15,1,18,2,14,2,15,2,8,5,15,2,18,2,8,4,18,9,3,3,4,1,19,4,4,8,18,8,3,2,18,1,4,34,19,4,4,2,3,4,14,2,15,1,14,2,16,2,3,3,18,1,4,2,19,4,4,18,18,2,3,6,16,1,3,2,15,3,8,2,18,1,15,2,8,1,10,4,8,1,14,1,3,2,8,1,10,3,8,1,14,1,3,2,15,1,8,2,10,3,8,1,9,1,4,4,19,14,4,4,19,1,4,4,19,7,4,77,18,4,14,1,15,1,8,4,15,2,14,1,15,4,18,1,15,13,14,4,3,2,14,7,18,4,4,5,18,3,4,3,19,8,4,25,19,5,4,5,18,1,3,3,18,1,4,23,18,3,4,1,18,1,3,2,18,1,10,1,8,7,10,2,8,1,18,1,3,1,18,2,8,2,18,3,10,1,8,2,10,3,4,7,18,1,10,1,8,2,18,1,10,6,18,7,8,1,9,1,8,1,9,1,10,1,9,1,18,2,8,4,10,2,9,1,18,3,8,1,9,1,18,8,8,1,18,5,15,1,18,3,14,1,15,1,18,6,14,6,18,2,14,13,3,1,16,2,3,1,14,3,3,1,16,1,3,1,14,1,10,1,9,1,3,1,16,18,3,1,16,4,3,10,16,6,3,5,16,1,3,2,16,2,3,6,18,1,3,2,16,7,3,1,18,1,9,2,18,2,4,4,18,2,4,1,19,5,4,204,19,9,4,2,18,1,3,2,18,1,9,1,10,9,8,1,10,1,8,1,18,2,8,1,9,1,18,1,9,1,10,2,18,6,10,1,18,4,10,2,9,1,18,3,9,1,18,2,10,6,18,1,3,4,16,134,3,3,16,15,3,1,4,506,},
{4,160,19,6,4,5,18,1,3,8,18,1,10,8,4,2,19,6,4,2,18,1,4,26,19,10,4,1,18,1,4,2,19,6,4,160,19,6,4,4,18,2,8,3,10,3,8,6,10,7,8,1,10,2,8,4,10,1,8,8,10,6,8,4,10,5,4,16,19,14,4,4,18,1,3,2,18,2,3,1,16,2,3,1,18,4,3,2,16,6,3,4,18,1,10,3,18,3,10,2,3,2,18,1,10,1,18,1,3,2,18,1,10,9,18,1,10,5,8,1,18,4,8,2,18,4,8,8,10,5,8,4,10,37,8,2,10,6,9,1,18,4,10,4,18,1,14,3,15,1,8,2,18,1,14,6,18,1,8,8,10,33,8,4,10,3,8,1,15,2,18,10,3,2,16,3,3,3,18,2,8,5,10,2,14,1,18,1,10,1,18,1,10,78,8,1,10,14,8,1,14,2,15,2,18,1,8,11,10,4,8,4,18,1,14,4,15,1,8,1,18,1,14,3,15,1,18,1,8,1,10,5,8,1,10,1,8,6,10,5,8,4,10,117,8,3,10,58,4,12,10,10,9,1,10,27,8,1,10,5,8,8,15,2,8,10,18,1,15,8,14,4,15,2,14,12,3,1,17,1,14,2,15,2,8,1,15,4,8,1,10,2,4,4,18,3,15,1,14,3,15,1,18,1,15,14,8,6,9,1,10,6,8,2,15,10,14,2,16,4,14,1,15,2,14,1,17,2,14,1,7,2,17,2,14,8,18,3,4,2,19,6,4,13,18,4,14,2,15,1,8,2,15,2,8,7,18,1,8,4,10,4,8,2,15,2,8,2,10,4,8,2,18,1,8,2,10,4,18,1,14,5,15,2,14,2,15,2,14,2,15,2,14,15,8,1,10,3,8,4,10,3,8,3,10,3,8,4,10,1,8,1,18,4,4,9,18,2,10,11,8,2,18,4,15,1,14,6,18,1,8,2,15,1,14,1,15,1,8,5,15,2,18,2,8,4,18,4,8,3,18,6,4,1,19,6,4,9,18,3,4,38,19,6,18,1,3,2,14,7,3,3,14,1,3,2,4,2,19,4,4,18,10,2,9,1,18,1,3,4,16,2,3,1,14,3,18,4,15,1,18,1,8,1,10,2,8,1,15,1,14,1,16,1,14,1,8,1,10,2,8,2,15,1,14,2,8,7,10,1,4,6,19,2,4,1,19,9,4,9,19,7,4,76,18,1,3,1,18,3,14,1,15,4,8,2,15,20,14,4,3,2,14,5,3,3,14,1,18,3,4,4,10,2,18,1,4,2,19,9,4,25,19,5,4,4,18,1,3,4,18,1,4,24,18,1,4,2,18,1,3,2,18,1,8,9,10,1,8,1,18,3,10,1,9,1,8,1,18,1,3,1,4,5,10,2,4,6,18,6,8,1,10,6,18,6,8,1,10,1,9,1,10,2,9,1,18,2,8,1,9,1,8,2,10,3,9,1,18,4,9,2,18,2,14,2,18,2,9,1,8,1,18,1,15,1,18,3,15,2,18,1,15,1,18,1,8,3,18,2,15,1,14,6,18,2,14,1,3,1,14,6,3,5,16,4,14,3,16,3,14,1,9,1,18,1,3,1,16,17,3,2,16,5,3,8,16,4,3,1,16,3,3,6,16,4,3,5,18,1,3,2,16,7,3,1,18,3,3,2,18,3,3,3,4,1,19,5,4,8,3,2,18,1,4,193,19,10,4,2,18,3,10,10,8,1,10,2,8,1,18,1,10,6,18,6,10,2,18,3,10,3,18,6,10,1,9,1,18,2,10,1,9,1,3,6,16,152,18,1,4,505,},
{4,160,19,10,4,8,18,2,4,11,19,7,4,7,18,2,4,19,19,7,4,3,18,1,3,1,18,1,4,1,19,10,4,156,19,6,4,4,18,1,8,14,10,4,8,4,10,9,8,5,10,6,8,4,10,6,18,6,4,9,19,7,4,1,19,6,4,7,18,1,10,1,18,1,3,3,18,1,3,6,18,1,3,1,16,6,3,1,18,1,10,3,18,1,3,2,18,2,3,2,18,1,10,1,18,3,10,1,8,2,10,3,18,5,10,5,8,1,18,3,8,13,18,1,8,2,10,4,8,4,10,41,18,2,8,1,10,6,18,5,14,2,18,2,8,1,18,1,14,1,3,1,14,6,18,1,8,7,10,40,8,8,18,6,3,2,16,5,3,1,14,1,8,1,10,6,18,2,10,1,18,1,10,76,8,1,10,16,8,1,15,1,14,1,15,1,18,2,8,7,10,2,8,1,10,5,8,2,18,1,14,7,15,2,14,3,15,1,8,3,10,1,8,2,10,3,8,6,10,1,8,1,10,3,8,3,10,26,8,4,10,89,8,1,10,59,4,12,10,10,9,1,10,1,4,6,10,20,8,1,10,5,8,8,15,2,8,11,15,8,14,4,15,3,14,3,15,2,14,2,3,1,14,3,17,1,16,1,14,2,15,7,8,1,10,4,9,1,18,3,14,4,15,2,18,3,15,6,8,2,15,3,8,7,9,1,10,5,8,3,15,5,8,5,15,1,14,1,17,1,16,3,14,1,15,1,8,1,7,1,14,5,17,2,14,7,15,1,18,4,4,1,19,8,4,10,18,5,15,2,8,3,15,3,8,6,18,2,8,3,10,3,8,14,18,1,8,1,10,3,8,1,15,1,14,4,15,1,18,1,15,1,14,5,15,1,8,1,15,1,14,16,9,1,10,2,8,3,10,4,8,3,10,3,8,4,10,2,18,1,4,5,19,6,4,2,18,1,10,14,8,7,18,3,8,3,18,1,15,2,8,4,15,4,18,1,8,4,18,4,8,1,10,1,8,1,18,6,4,1,19,6,4,9,18,4,4,2,19,4,4,31,19,6,3,1,16,1,3,1,14,5,3,1,16,2,3,1,14,1,3,4,18,1,4,2,19,2,4,5,19,1,4,2,19,1,4,9,18,1,10,3,18,3,3,1,16,2,3,3,14,2,18,1,8,2,15,3,8,2,15,1,14,2,3,1,14,1,8,1,10,1,8,6,10,2,8,1,15,2,8,2,10,2,18,1,4,8,19,8,4,2,18,2,4,6,19,6,4,76,3,3,18,2,15,12,18,5,15,6,14,2,15,1,14,4,3,3,14,5,3,6,18,2,10,1,18,2,10,2,4,4,19,8,4,24,19,5,4,4,18,1,3,5,18,1,4,28,18,1,3,2,18,1,8,5,15,1,18,1,8,2,10,1,18,1,4,4,18,3,4,7,10,1,18,2,10,1,4,1,18,8,10,7,18,5,8,1,10,1,9,1,10,2,9,1,18,2,8,1,9,1,8,2,9,1,10,2,9,2,18,3,10,2,18,1,14,3,18,2,9,2,18,5,14,2,18,2,8,1,9,2,8,1,18,1,15,1,14,7,18,2,14,1,3,2,14,1,3,1,14,1,15,1,14,1,3,6,16,2,3,1,14,3,16,2,14,2,3,2,16,25,3,1,18,2,3,1,16,1,3,3,16,3,3,2,16,4,3,4,16,6,3,7,16,8,3,9,16,1,3,1,4,2,19,3,4,8,18,1,3,3,18,1,4,11,19,2,4,12,19,5,4,162,19,12,4,6,10,6,8,2,10,2,18,1,4,5,18,7,10,3,18,12,9,1,18,1,3,4,16,4,3,2,16,152,3,3,18,1,19,1,4,501,},
{4,160,19,12,4,3,19,1,4,15,19,9,4,4,18,3,4,20,19,3,4,5,18,1,3,2,18,1,4,1,19,13,4,153,19,5,4,4,18,1,8,15,10,5,8,1,10,9,8,6,10,10,8,1,10,3,18,1,10,3,18,2,9,1,10,1,18,2,4,8,19,6,4,4,19,4,4,8,10,2,18,1,3,5,16,1,3,2,18,1,10,1,18,1,16,7,3,1,18,1,10,2,18,1,3,2,10,1,18,1,3,2,18,1,10,3,8,4,10,1,18,7,10,4,8,1,18,1,8,4,18,2,8,3,10,3,8,3,18,2,8,2,10,4,8,6,10,39,8,3,10,6,18,1,3,2,18,2,15,2,8,2,18,1,14,4,15,1,14,4,15,1,18,3,8,4,10,42,8,4,10,2,8,1,18,1,14,1,18,2,8,1,18,1,3,2,16,4,3,1,14,1,10,7,8,2,10,1,18,1,10,64,8,1,10,28,8,2,15,1,18,1,8,10,10,2,8,3,10,1,8,2,18,1,14,6,15,2,14,3,15,1,18,1,8,9,10,1,8,8,10,4,8,1,10,27,8,6,10,83,8,1,10,56,8,1,10,6,4,12,10,12,4,6,10,26,8,8,15,2,8,13,15,6,14,4,15,8,14,2,3,1,14,4,16,1,14,2,15,7,8,1,9,1,10,2,8,1,18,2,14,3,3,1,14,1,15,1,18,1,15,1,18,6,15,1,8,2,15,5,8,6,9,4,10,2,8,6,15,1,8,7,15,1,14,2,16,3,14,1,15,1,8,1,15,1,7,1,14,6,17,3,14,4,15,1,8,2,18,2,4,1,19,9,4,8,18,1,3,1,18,3,15,1,8,3,15,7,8,4,18,3,8,13,18,3,8,3,15,1,18,1,8,1,10,2,8,1,15,1,14,1,15,1,18,1,8,3,15,1,14,5,15,1,8,2,14,12,3,3,14,1,15,1,8,4,10,5,8,3,10,3,8,4,10,2,4,6,19,6,4,2,18,2,10,21,8,3,10,2,8,1,15,3,8,2,15,5,18,2,8,4,18,2,8,5,18,2,10,1,18,1,4,3,19,5,4,9,18,3,3,1,4,1,19,6,4,31,19,3,4,2,3,1,16,2,14,5,16,3,3,1,14,1,3,6,4,3,19,1,18,1,4,2,19,6,4,8,10,4,4,3,18,1,3,3,16,2,3,1,14,1,8,1,9,1,18,1,14,1,3,7,14,1,15,1,8,1,10,1,8,1,18,1,8,1,10,5,18,1,15,2,18,1,8,1,10,2,9,1,18,6,3,1,18,1,4,1,19,7,4,1,18,1,3,2,18,1,4,6,19,3,4,78,3,3,18,2,15,1,14,3,15,4,18,6,8,4,18,3,15,2,14,2,15,2,14,3,3,1,14,7,3,4,14,1,3,1,14,1,18,1,10,5,4,4,19,8,4,24,19,4,4,2,18,1,3,1,18,1,3,5,14,1,18,1,4,17,19,1,4,10,18,1,3,3,18,1,8,4,18,5,4,13,18,2,10,1,18,2,8,1,10,1,18,9,9,1,10,6,18,4,8,1,10,3,9,1,8,9,9,3,18,3,10,2,18,1,14,1,18,4,9,2,8,1,18,4,14,1,18,2,8,1,9,2,8,1,18,1,15,1,14,7,15,1,18,2,14,2,3,3,14,3,3,1,16,7,3,4,16,1,3,1,15,1,14,1,16,28,3,2,16,9,3,1,16,4,3,2,18,1,3,1,16,6,3,2,18,2,3,5,16,11,3,6,4,2,19,2,4,9,3,4,18,1,4,10,19,4,4,10,19,6,4,162,19,13,4,5,10,6,8,2,10,2,4,6,18,3,10,1,18,1,10,5,18,13,3,2,16,162,3,4,4,501,},
{4,160,19,18,4,12,19,11,4,23,18,1,3,2,18,1,4,4,18,7,4,3,19,12,4,147,19,8,4,5,18,1,10,1,8,13,10,16,8,3,10,2,8,3,10,10,8,1,10,2,18,2,10,2,8,1,18,1,8,4,18,1,4,8,19,4,4,5,19,3,4,9,10,2,8,1,3,2,16,2,3,3,18,3,3,1,16,7,3,1,18,1,10,2,18,3,10,2,3,2,18,1,8,1,10,1,8,3,10,1,4,6,18,4,10,3,8,1,18,3,8,1,18,3,8,4,10,1,8,3,18,6,8,12,10,6,8,2,10,4,8,5,10,29,8,4,15,2,8,2,15,1,14,1,15,2,8,2,14,4,15,1,18,1,8,5,10,39,8,1,10,4,8,3,10,2,8,2,18,2,8,1,10,1,8,1,14,1,3,1,16,4,14,1,18,1,10,1,8,2,18,5,10,67,8,2,10,27,8,22,18,1,15,1,14,3,18,4,15,3,8,6,18,2,8,3,10,1,8,9,10,6,8,1,10,24,8,6,10,83,8,1,10,63,4,2,19,3,4,4,19,2,4,1,10,7,9,2,10,3,4,6,10,27,8,6,18,1,15,1,18,1,8,15,15,4,14,4,15,3,14,2,15,3,14,2,3,1,14,7,15,5,8,2,18,1,8,1,10,1,8,1,18,1,15,4,14,3,15,1,18,1,15,2,18,1,8,7,15,4,18,1,8,21,15,7,14,2,16,2,14,2,15,3,14,7,17,4,14,2,15,1,8,2,18,2,4,2,19,8,4,8,18,1,3,2,18,1,14,2,8,2,15,5,14,2,15,8,18,1,8,2,15,8,18,1,15,4,18,1,8,1,18,1,15,2,8,1,10,3,8,3,10,3,9,1,18,1,15,1,14,4,15,1,8,2,14,12,3,3,14,2,15,1,8,4,10,5,8,1,10,4,8,2,10,1,9,2,18,1,4,6,19,6,4,2,18,2,8,2,10,1,8,4,10,18,8,2,15,3,8,2,15,2,8,2,18,3,8,1,10,2,8,3,18,3,8,1,10,5,4,17,18,2,3,2,18,1,4,1,19,5,4,35,3,1,16,3,14,1,7,3,14,2,17,1,16,2,3,1,14,2,3,4,18,1,4,2,3,2,4,3,19,5,4,7,18,2,10,3,4,5,18,1,3,1,16,3,18,1,10,2,18,1,3,1,16,6,3,2,18,1,8,2,18,2,8,1,10,4,8,1,18,3,8,1,10,3,9,1,18,6,3,1,4,2,19,2,4,7,3,2,18,1,10,1,18,2,4,84,3,3,18,2,15,1,14,3,15,3,18,12,8,3,15,6,14,5,15,1,8,2,15,2,14,4,15,1,14,2,15,1,18,1,8,1,9,1,8,1,18,4,4,5,19,5,4,23,19,4,4,1,18,1,3,8,18,2,4,29,18,1,3,2,14,1,15,1,18,8,4,12,18,2,3,1,18,1,8,1,9,1,10,2,8,2,10,2,9,1,18,3,3,2,18,1,9,1,10,4,18,3,8,2,9,1,10,1,9,1,8,11,18,1,9,1,18,3,10,2,18,1,14,1,18,3,8,1,9,1,10,1,9,2,18,2,14,1,15,1,18,1,9,1,10,1,9,1,8,1,15,1,14,8,18,4,15,1,14,1,3,3,14,2,3,1,16,13,3,1,15,1,14,1,16,27,3,3,16,14,3,2,18,1,3,1,16,6,3,2,4,2,18,1,3,6,16,9,3,4,18,1,4,14,18,1,16,1,3,1,18,1,4,2,19,4,4,4,19,5,4,2,3,2,4,6,19,9,4,161,19,12,4,4,10,6,8,1,9,1,10,2,4,6,18,3,10,1,18,2,10,4,18,5,9,1,10,3,9,1,18,4,3,5,16,158,3,2,18,2,4,501,},
{4,164,19,14,4,13,19,2,4,2,19,6,4,22,18,1,3,1,16,2,3,1,18,1,4,1,18,2,3,2,18,1,8,1,10,2,18,1,4,6,19,9,4,146,19,7,4,5,18,1,10,3,8,11,10,19,18,1,8,1,10,2,8,1,10,12,8,2,10,5,8,6,18,4,4,11,18,1,4,14,10,2,8,1,3,2,16,2,3,1,18,1,10,2,18,1,3,1,16,8,3,1,18,1,10,5,8,1,10,1,18,2,10,1,8,3,10,2,4,8,18,4,10,2,18,5,8,10,18,3,8,2,18,5,8,10,10,4,8,3,10,3,8,6,10,25,8,2,10,3,8,2,18,1,15,2,8,2,14,2,8,4,14,3,15,2,8,4,10,46,8,3,10,3,8,4,10,1,8,1,18,1,3,1,16,3,3,1,14,1,8,2,18,7,10,95,8,2,10,3,8,14,18,1,8,17,10,1,8,2,15,1,14,2,15,1,8,7,18,2,8,3,10,5,8,3,10,23,8,6,10,93,8,1,10,52,4,3,19,9,4,2,10,6,18,1,9,1,10,3,4,6,10,28,8,5,18,2,8,18,15,2,14,5,15,2,14,1,15,4,14,10,15,4,8,3,15,1,8,3,15,1,14,1,15,4,14,1,15,1,18,1,8,1,15,2,18,1,8,7,18,1,15,3,18,1,8,5,10,1,8,6,18,2,8,2,10,3,9,1,8,1,15,8,14,5,15,3,8,1,15,1,7,2,15,1,14,1,17,2,14,5,15,1,8,2,18,3,4,2,19,7,4,8,18,1,3,3,14,2,15,1,8,1,15,4,14,3,15,9,18,1,15,4,18,2,15,5,18,5,15,1,14,1,15,1,8,1,10,10,8,1,18,2,15,4,8,2,14,18,8,4,10,7,8,4,10,2,9,1,18,2,4,6,19,5,4,3,18,2,8,2,18,5,8,6,10,10,8,4,15,1,14,1,15,1,8,2,15,1,8,4,18,2,8,2,10,2,8,2,18,4,10,5,4,17,3,4,18,1,4,2,19,4,4,34,3,1,16,3,14,1,7,5,14,2,17,2,14,4,3,3,18,1,4,2,3,2,4,3,19,5,4,4,18,3,3,1,18,3,10,1,4,6,18,1,3,3,18,1,10,2,18,1,3,1,16,6,3,2,18,5,8,1,10,3,8,5,10,4,8,1,18,6,3,1,18,1,4,9,18,3,9,1,10,1,9,1,18,2,4,3,18,2,4,2,18,1,4,76,3,3,18,2,14,2,15,4,18,9,8,7,15,1,8,3,15,2,14,3,15,2,8,3,15,1,14,9,15,1,14,5,18,4,4,3,19,5,4,22,19,3,4,2,18,1,3,7,18,3,4,30,3,3,14,3,18,5,4,13,3,4,18,1,10,2,8,3,10,3,18,3,3,2,18,2,9,1,10,3,18,5,8,1,10,1,8,2,18,1,8,7,18,6,9,1,10,2,18,5,8,2,9,1,10,1,9,1,18,1,15,1,14,1,18,1,8,1,10,2,9,1,15,1,14,1,3,2,14,1,15,1,14,4,18,1,8,1,18,3,14,2,3,1,14,3,3,1,16,7,3,1,16,5,14,3,16,19,3,2,16,6,3,3,16,13,3,5,16,7,3,1,4,2,3,5,18,2,3,1,16,8,3,1,18,2,4,16,18,1,3,2,4,2,19,6,4,3,19,6,4,1,3,1,16,1,18,1,4,6,19,9,4,163,19,9,4,5,10,4,9,1,10,2,8,1,10,1,4,6,18,3,4,3,10,2,4,4,18,3,9,1,10,4,9,1,18,8,3,2,16,157,3,1,18,1,3,3,4,499,},
{4,166,19,12,4,18,19,6,4,16,19,2,4,2,18,1,3,1,16,3,3,1,18,3,3,3,18,2,10,2,18,4,10,1,4,4,19,7,4,146,19,6,4,3,18,4,10,4,8,8,10,4,8,3,10,15,8,4,10,12,18,1,8,1,10,6,8,5,18,5,10,1,9,5,10,3,18,3,10,3,4,1,10,3,4,5,18,1,10,1,8,1,18,1,3,3,16,1,3,1,18,1,10,2,18,1,3,1,16,6,3,3,18,1,10,1,18,1,10,3,8,1,10,8,4,9,18,4,10,2,18,4,8,2,10,1,8,8,18,3,8,1,10,1,8,1,18,4,8,11,10,12,8,1,10,14,8,1,18,3,8,1,10,9,8,3,18,2,15,1,14,2,15,1,8,2,14,2,8,3,15,1,14,3,15,1,8,4,10,47,8,3,10,3,8,3,10,1,8,1,18,1,14,2,3,1,16,3,3,1,18,3,8,1,10,2,8,1,18,2,8,1,10,85,8,7,10,1,8,3,10,3,8,20,10,9,8,2,10,2,8,1,18,1,14,4,15,1,8,6,18,1,15,1,18,1,8,3,10,3,8,2,18,1,8,1,10,121,8,2,10,51,4,3,19,10,4,2,10,6,8,1,10,4,4,6,10,29,8,4,18,1,8,13,15,2,8,6,15,1,14,8,15,1,8,2,15,1,14,10,15,3,8,3,15,1,18,1,8,2,15,1,14,1,15,6,8,2,18,1,15,1,18,2,8,6,15,4,8,6,10,2,8,5,18,2,8,2,9,1,10,1,9,2,8,1,15,8,14,6,15,1,8,4,15,2,14,1,17,2,14,6,8,2,18,4,4,2,19,6,4,8,18,1,3,4,14,2,15,6,14,1,15,6,18,2,15,2,18,2,15,1,8,4,15,4,8,4,18,1,15,1,14,2,15,1,8,1,10,10,9,1,8,4,15,2,8,1,15,1,14,14,15,1,8,1,15,2,8,1,10,1,8,2,10,7,8,5,9,1,18,2,4,7,19,4,4,4,18,2,10,1,8,1,18,12,8,2,10,6,8,2,18,2,8,1,18,1,14,1,15,1,8,4,10,2,8,8,18,5,10,5,18,5,3,2,18,1,4,8,18,1,3,3,18,1,4,3,19,4,4,33,3,1,16,3,14,1,8,2,7,1,14,1,7,3,14,4,15,1,18,2,3,3,18,4,4,4,18,1,4,8,18,1,3,6,18,2,4,7,3,1,18,1,4,4,3,1,16,7,3,3,18,2,8,3,18,4,9,1,10,6,18,21,10,2,18,3,10,2,18,6,4,77,3,2,14,1,15,1,14,2,15,1,8,1,15,2,18,13,15,4,8,2,15,3,14,4,15,2,8,2,15,1,14,11,3,2,14,2,18,1,3,3,18,2,4,2,19,5,4,25,18,1,3,8,18,2,4,31,19,1,3,2,14,3,3,2,18,2,4,13,18,1,3,4,18,6,10,2,9,1,18,8,9,1,10,2,18,5,8,1,9,1,8,1,18,2,8,7,18,5,9,1,10,3,9,1,18,7,8,2,18,4,9,2,10,1,8,1,14,1,3,2,14,2,18,3,15,1,18,2,8,1,18,3,15,1,14,7,3,1,16,4,3,3,16,3,14,3,16,11,3,2,16,7,3,2,16,6,3,2,16,13,3,5,16,9,3,3,16,3,3,6,18,3,3,3,18,1,4,19,3,2,4,2,19,7,4,1,19,8,3,2,18,1,4,1,18,2,4,6,19,6,4,166,19,6,4,6,10,2,9,2,10,2,18,2,4,13,10,1,4,5,18,3,10,5,9,2,8,1,18,2,4,3,18,2,3,3,16,154,3,4,16,1,3,2,4,497,},
{4,167,19,11,4,18,19,6,4,15,19,3,4,2,3,1,16,4,3,1,18,10,3,3,18,1,10,2,4,6,19,4,4,146,19,5,4,3,18,2,8,4,10,3,8,6,10,6,8,3,10,16,8,2,10,13,8,1,18,1,8,1,10,5,8,5,15,1,14,2,8,1,10,20,18,1,4,3,18,1,3,9,10,3,18,1,16,4,3,4,18,1,10,6,8,1,10,8,18,1,4,9,18,7,8,2,10,8,8,7,10,3,8,10,10,3,18,2,8,1,10,25,18,2,3,2,18,1,8,2,10,9,8,1,18,2,14,3,15,1,8,3,15,1,14,1,8,3,15,2,14,1,15,1,8,4,10,49,8,1,10,5,8,2,10,1,8,1,18,1,14,1,18,1,14,1,16,2,3,2,14,1,18,2,8,1,10,2,8,1,18,3,8,1,10,54,8,5,10,24,8,6,18,2,8,4,10,2,8,14,10,1,8,5,10,11,8,1,10,1,8,2,15,1,14,4,15,1,18,2,8,3,18,1,15,1,14,2,8,2,18,1,8,1,10,1,8,1,18,1,15,2,18,1,8,1,10,121,8,2,10,50,4,2,19,11,4,2,10,11,4,6,10,29,8,18,15,1,8,7,15,1,14,7,15,2,8,2,15,1,14,10,15,3,8,3,15,1,8,3,15,5,18,1,15,2,8,3,18,1,8,9,18,2,8,7,10,2,8,6,18,2,8,6,15,6,8,1,15,1,14,6,15,1,8,5,15,1,14,2,17,1,14,6,8,2,15,1,14,1,3,1,18,2,4,1,19,6,4,8,18,2,3,3,14,3,15,12,8,2,15,4,18,1,8,2,10,2,8,2,18,2,8,2,10,1,8,2,18,1,14,3,18,1,8,1,10,4,8,1,10,4,9,2,8,3,15,1,14,1,15,2,14,1,15,5,14,6,15,1,8,2,9,1,8,2,10,2,8,2,10,7,8,5,10,1,18,1,4,8,19,4,4,4,18,2,10,2,18,2,10,3,8,1,18,8,8,7,15,1,14,1,15,1,18,2,15,2,8,5,10,1,8,2,18,2,8,6,18,2,8,1,10,3,8,1,18,5,3,4,4,9,18,1,3,2,4,2,18,1,4,1,19,4,4,32,3,1,16,3,3,1,15,1,8,1,7,1,14,2,7,1,8,1,7,2,14,2,15,1,8,2,15,1,3,4,18,2,4,4,18,1,3,6,18,1,4,2,18,1,3,2,18,1,3,5,18,1,4,8,19,3,4,1,18,1,3,1,16,5,3,4,18,1,10,3,18,1,14,1,3,1,18,2,10,6,8,1,18,4,9,2,18,15,10,1,9,1,18,3,10,2,18,1,3,2,18,3,4,77,3,3,15,1,14,1,15,2,8,1,15,2,18,10,15,9,14,10,15,2,14,11,3,3,14,2,3,5,18,1,4,1,19,6,4,24,18,1,3,1,18,2,3,5,18,1,4,33,18,2,14,1,3,4,18,1,4,14,18,1,3,5,18,6,4,1,18,5,10,3,18,10,8,2,18,2,8,2,18,2,8,2,18,6,10,3,9,3,18,11,8,4,18,1,14,4,15,1,18,5,8,1,18,2,14,12,3,3,14,2,3,1,16,3,14,2,3,1,16,1,3,1,17,1,16,2,14,1,3,1,16,4,3,2,16,6,3,3,16,6,3,3,16,11,3,1,18,2,3,2,16,17,3,2,18,2,10,4,18,3,4,14,18,2,3,1,18,1,4,2,18,2,4,2,19,16,3,3,18,8,4,2,19,5,4,167,19,5,4,6,10,2,8,1,9,1,10,2,18,2,4,20,18,1,9,1,10,5,9,2,10,3,4,6,18,1,3,2,16,153,3,2,16,4,3,1,4,497,},
{4,170,19,6,4,22,19,5,4,13,19,4,4,1,18,1,3,1,16,4,18,1,8,1,10,1,18,2,8,2,18,1,14,1,3,2,16,2,3,1,18,1,10,3,18,1,4,6,19,5,4,143,19,4,4,4,18,1,8,6,10,3,8,6,10,4,8,8,10,4,8,5,10,4,8,1,10,13,8,1,18,3,8,1,10,3,8,5,7,3,8,1,10,1,8,1,10,16,18,4,10,1,18,1,3,1,16,2,3,1,14,1,18,5,10,2,18,1,3,2,16,3,3,3,18,1,10,17,4,11,18,5,10,33,18,2,8,3,10,12,8,1,10,9,8,1,18,1,3,3,18,1,8,1,18,2,8,1,10,8,8,1,18,1,14,3,15,1,8,1,10,2,8,1,14,1,15,2,8,9,10,45,8,2,10,11,8,2,18,2,14,1,3,3,14,1,18,4,10,2,18,4,8,1,10,52,8,7,10,24,8,2,10,3,8,1,18,2,8,2,10,3,8,14,10,3,8,5,10,2,8,4,10,4,8,1,10,1,8,2,15,1,14,3,15,4,18,1,8,2,18,1,14,3,8,2,15,1,18,1,8,2,18,1,14,2,18,1,8,1,10,11,8,5,10,104,8,3,10,50,4,3,19,10,4,2,10,46,8,27,15,1,14,1,15,6,8,3,15,2,14,5,15,3,14,1,15,3,8,1,15,2,8,4,15,8,8,22,10,2,8,2,10,3,8,1,18,11,15,1,8,3,15,1,14,6,15,2,8,4,15,1,14,8,15,1,8,1,18,2,3,3,18,1,4,1,19,5,4,9,18,2,14,1,3,1,14,4,15,11,8,6,15,1,18,1,8,1,10,5,8,2,18,1,8,5,18,1,14,3,18,1,8,1,10,2,8,1,18,2,8,1,9,1,8,5,15,1,14,5,15,2,8,4,15,1,8,1,15,1,14,2,15,1,8,2,10,1,8,2,10,2,8,6,10,4,8,3,9,1,4,6,19,1,4,3,19,4,4,4,18,2,10,2,18,1,8,1,10,5,18,9,8,1,18,1,15,1,14,1,15,1,14,3,15,1,18,2,8,8,18,1,15,2,18,1,8,2,10,3,8,6,18,7,3,3,4,10,18,2,4,2,18,1,4,1,19,4,4,32,3,1,16,1,3,3,14,2,17,1,16,1,17,1,7,3,14,3,15,1,8,2,7,1,14,1,17,1,14,3,18,1,4,4,18,1,3,7,18,2,3,2,18,3,3,4,18,1,4,5,19,1,4,2,19,4,4,1,18,1,3,1,16,4,3,3,18,1,9,1,10,3,9,1,3,2,18,1,8,1,10,5,9,1,8,1,18,3,8,4,9,1,8,1,18,3,9,2,18,6,9,2,18,4,8,3,18,2,8,1,10,1,4,78,3,4,14,1,15,5,18,12,15,5,14,6,3,1,14,2,17,1,3,1,14,4,7,3,14,4,7,1,15,1,14,1,17,1,16,1,14,4,3,4,18,1,4,1,19,6,4,24,18,1,3,1,18,2,3,5,18,2,4,33,18,1,3,5,4,15,18,5,3,1,18,1,8,3,18,1,4,6,10,5,18,9,8,2,18,1,8,3,18,2,8,3,18,4,9,1,10,3,9,2,8,1,18,10,8,1,9,1,18,3,15,1,14,1,15,1,18,2,15,2,18,1,8,1,18,2,8,1,18,1,15,1,14,5,15,2,14,10,16,4,14,6,17,2,14,3,17,1,16,1,3,3,16,4,3,4,16,8,3,1,18,1,3,2,16,9,3,1,18,2,3,3,16,16,3,2,18,1,10,3,18,5,4,13,18,1,3,3,18,1,4,5,19,3,4,3,19,9,4,1,19,1,3,4,18,4,3,3,18,1,4,2,18,1,19,3,4,178,10,1,9,1,18,1,9,1,10,2,18,2,4,20,10,6,18,2,9,1,10,3,4,6,18,1,3,2,16,159,3,1,4,497,},
{4,199,19,5,4,12,19,4,4,2,3,1,16,2,3,1,18,1,10,3,8,2,10,2,8,1,14,1,16,5,14,1,10,3,18,2,4,5,19,5,4,143,19,2,4,5,18,2,10,2,8,14,10,3,8,8,10,4,8,5,10,19,18,2,3,1,18,1,10,3,8,5,7,3,8,1,10,18,18,1,3,1,18,2,8,1,18,1,16,2,3,1,14,1,18,1,8,4,10,3,3,8,18,1,10,6,4,1,9,1,10,1,4,2,9,2,4,2,10,2,4,13,10,1,18,1,10,4,8,4,10,27,18,2,8,2,10,23,8,1,18,1,3,3,18,2,14,2,18,1,8,3,10,6,8,1,18,1,15,2,8,1,10,3,8,2,15,2,8,7,10,61,8,4,15,1,14,1,15,1,18,1,8,2,18,2,10,2,9,1,18,4,10,88,8,1,18,2,8,1,10,4,8,13,10,4,8,7,10,10,8,2,15,3,8,2,18,1,15,2,18,1,8,2,18,1,14,2,15,1,8,1,18,1,15,1,14,1,18,2,15,1,14,3,18,1,8,1,10,8,8,1,10,12,8,4,10,1,8,1,10,92,8,3,10,50,4,2,19,11,4,1,10,6,9,1,10,9,9,1,10,30,8,27,15,3,8,2,15,3,8,3,15,2,14,5,15,1,8,1,15,4,8,2,15,2,8,5,15,8,8,21,10,2,8,1,10,4,9,1,18,12,8,4,15,1,14,7,15,3,8,2,15,3,14,2,15,4,8,2,18,2,3,2,18,1,4,1,19,5,4,9,10,1,18,2,14,5,15,5,8,3,15,4,8,8,10,6,8,8,14,1,3,1,14,1,18,1,10,3,8,1,15,1,14,1,18,2,8,2,18,2,15,2,14,4,15,3,8,1,10,2,8,4,15,3,8,5,10,2,8,6,10,4,8,2,18,2,4,4,19,4,4,3,19,3,4,4,18,2,10,2,8,1,10,6,8,1,18,10,14,2,15,2,14,2,15,1,18,1,8,7,15,1,8,1,15,3,18,1,8,2,10,4,8,2,18,11,3,2,4,10,19,1,18,2,4,3,19,4,4,32,3,1,16,1,3,1,18,1,14,2,17,1,16,1,17,1,14,1,7,4,15,2,14,2,8,1,7,1,17,2,14,2,3,2,18,1,4,3,18,1,3,7,18,2,3,2,18,1,8,1,18,1,3,4,18,1,4,4,19,9,4,1,3,2,16,2,3,3,18,1,10,6,18,1,3,1,18,1,9,1,10,3,8,2,18,1,15,1,14,1,15,1,18,1,8,2,18,1,8,1,10,2,18,3,8,3,18,11,8,3,18,1,8,1,10,2,4,78,3,3,18,2,15,2,14,1,15,2,18,11,15,5,14,6,3,1,17,1,14,1,17,1,16,2,14,4,7,3,14,2,17,2,14,1,7,1,14,1,17,1,16,1,17,1,14,1,15,1,14,1,3,3,18,2,4,1,19,6,4,24,18,1,3,8,18,2,4,33,18,1,3,4,18,1,4,14,19,1,3,1,18,5,15,1,8,2,18,1,4,8,10,4,18,11,8,4,18,3,8,3,18,3,10,4,18,3,8,1,18,1,14,2,18,6,8,2,18,1,15,2,14,1,15,1,18,1,8,2,15,1,14,1,18,6,14,2,3,2,14,1,15,2,14,11,3,1,16,3,14,4,7,2,14,1,17,1,14,6,3,1,16,5,3,1,18,1,3,2,16,8,3,1,18,1,3,2,16,10,3,6,16,14,3,4,18,2,3,5,18,2,4,11,18,1,3,4,18,1,4,2,18,2,4,2,19,2,4,3,19,5,4,1,19,2,4,2,18,1,3,1,16,3,3,1,18,1,9,1,18,1,3,1,16,1,3,2,18,2,3,2,4,1,19,1,4,178,10,2,9,2,10,2,18,2,4,13,18,1,4,6,10,6,18,2,9,1,10,3,4,5,18,1,3,1,16,161,3,1,18,1,4,496,},
{4,198,19,6,4,12,19,5,4,1,3,3,18,1,10,3,18,1,10,5,7,1,17,1,16,4,14,1,10,3,8,1,18,4,4,3,19,4,4,149,18,2,10,4,8,16,10,2,8,1,10,3,8,1,10,5,8,5,10,11,18,2,10,3,18,2,10,1,18,1,3,3,8,1,10,2,8,4,7,1,6,1,7,1,8,1,10,4,8,2,10,12,8,1,18,4,10,1,8,1,3,2,18,1,10,1,18,1,8,1,10,6,18,2,10,1,18,1,3,1,16,2,3,1,18,1,4,1,18,2,4,12,10,2,4,13,10,5,8,3,10,21,8,2,10,6,8,1,10,26,8,1,18,1,14,1,3,5,14,1,18,1,10,10,8,7,10,1,8,1,15,2,8,5,10,63,8,8,10,2,8,2,10,3,18,4,8,1,10,85,8,2,18,2,8,1,10,6,8,6,10,3,8,2,10,5,8,3,18,2,8,2,10,5,8,2,10,3,8,2,18,1,8,5,18,1,15,1,8,3,18,1,15,1,18,1,8,2,18,2,14,3,18,1,15,1,14,2,15,1,8,1,10,3,8,5,10,12,8,7,10,92,8,3,10,3,8,1,10,43,8,2,10,1,4,2,19,10,4,2,10,6,18,2,10,35,8,31,15,2,8,5,15,1,8,2,15,2,8,1,15,1,14,3,15,1,8,2,15,4,8,2,15,3,8,5,15,2,8,2,15,4,8,7,18,1,8,12,10,2,8,2,10,3,9,1,8,1,18,1,9,1,18,2,15,1,18,6,15,1,8,4,15,1,14,8,15,1,8,5,14,3,15,2,8,4,18,1,3,2,18,1,4,1,19,4,4,2,19,1,4,8,18,3,15,2,14,1,15,5,8,4,15,5,8,9,10,5,8,7,14,3,8,1,10,3,8,1,18,4,8,2,18,2,15,9,8,1,10,2,8,4,15,7,8,2,10,3,8,2,10,2,8,2,10,3,18,2,4,3,19,5,4,13,18,3,4,1,10,1,4,2,18,11,8,2,18,1,15,1,18,1,8,1,18,1,15,1,14,1,15,1,8,2,15,1,8,4,15,1,8,2,15,1,18,1,8,14,18,6,3,1,18,1,4,11,3,3,4,2,19,4,4,32,3,3,18,2,14,2,6,1,14,1,7,4,8,1,10,2,14,2,7,2,17,1,16,1,14,2,3,3,18,3,10,2,18,1,3,5,18,2,3,2,18,3,3,4,4,5,19,9,4,1,18,1,3,6,18,1,10,6,18,1,3,1,18,2,10,2,8,2,18,1,15,1,14,2,18,6,8,1,10,2,8,2,18,14,8,4,10,5,18,3,4,73,3,2,18,3,8,1,15,1,14,1,15,1,8,1,18,10,15,1,14,5,15,1,14,9,16,2,14,2,15,2,7,3,14,1,17,1,16,2,17,1,14,2,16,2,3,1,14,1,8,1,15,1,3,3,18,1,4,2,19,6,4,23,18,3,3,6,18,1,8,1,18,1,4,33,3,3,18,3,4,14,3,2,18,1,10,1,18,3,15,2,8,1,18,1,4,7,18,4,4,5,18,7,8,3,15,1,8,2,15,1,8,3,18,2,9,1,10,4,18,3,9,1,18,1,14,2,18,1,10,2,9,1,18,2,8,2,18,2,15,3,18,1,8,2,14,3,18,5,14,2,3,2,14,1,15,2,14,1,3,2,14,19,17,2,16,3,17,1,3,1,16,6,3,2,16,4,3,2,16,36,3,4,16,8,3,1,18,3,3,1,18,1,4,5,18,4,3,4,18,1,10,2,3,2,18,1,4,1,19,3,4,3,19,4,3,3,18,1,4,2,3,1,16,4,3,1,18,2,3,1,16,2,3,3,18,1,4,183,10,5,18,2,4,11,18,2,4,6,10,6,18,2,10,4,18,1,4,3,18,1,3,1,16,2,3,1,16,159,3,2,18,3,4,493,},
{4,199,19,5,4,12,19,5,4,2,18,1,4,10,10,1,18,1,14,1,16,4,3,1,8,1,10,3,8,1,18,3,10,2,4,1,19,4,4,44,19,4,4,86,19,4,4,11,10,5,8,3,10,1,8,13,10,6,8,3,10,4,8,4,10,9,8,2,18,3,10,2,18,1,10,2,8,1,3,3,8,1,10,1,8,1,14,3,7,1,8,1,7,2,8,1,10,2,8,4,10,3,8,1,10,5,8,1,18,1,8,2,18,3,8,1,10,2,18,1,8,1,10,14,3,3,18,1,4,3,18,1,4,27,10,6,8,1,10,22,8,3,10,32,8,1,18,2,3,6,14,1,18,2,8,1,10,11,8,6,15,1,8,3,10,1,8,1,10,59,8,5,10,3,8,4,10,7,9,1,18,3,8,1,10,85,8,4,10,7,8,5,10,3,8,3,10,5,8,6,10,6,8,2,10,3,8,4,10,3,8,4,10,2,8,6,18,1,15,1,14,1,18,3,14,2,18,1,8,1,10,4,8,4,10,11,8,10,10,91,8,2,10,49,4,4,19,8,4,3,10,6,18,2,9,1,10,34,8,17,9,1,10,1,9,1,8,7,15,2,8,11,15,3,8,1,15,1,14,3,15,1,8,2,15,4,8,1,15,4,8,10,18,1,15,1,18,1,8,25,10,2,9,1,8,1,18,1,8,2,18,1,8,2,9,1,8,1,18,1,15,3,8,4,15,1,14,6,3,1,14,2,15,2,8,3,14,5,15,1,8,1,10,1,8,1,18,1,14,1,3,1,18,1,4,2,19,4,4,1,19,2,4,3,19,3,4,2,18,4,15,6,8,5,15,5,8,11,10,3,8,5,18,1,14,3,8,1,10,4,8,1,18,3,8,2,18,2,15,1,8,6,15,3,8,1,10,1,8,6,18,1,15,5,8,5,10,7,4,6,19,6,4,20,18,5,8,7,18,2,8,2,18,1,15,1,14,1,15,1,18,1,8,1,15,1,18,1,8,2,15,2,8,16,10,1,8,1,18,8,4,11,18,1,3,1,18,1,4,2,19,4,4,30,19,1,4,1,3,2,18,1,9,1,8,2,7,4,14,1,7,1,8,1,10,2,8,1,14,1,16,1,14,2,17,2,14,2,3,4,14,1,18,1,10,3,18,1,3,4,8,2,3,2,18,3,3,3,18,1,4,5,19,9,4,3,18,5,10,7,18,4,10,3,9,2,18,2,14,1,18,2,8,1,18,3,9,1,10,2,9,1,8,1,18,14,8,4,10,5,18,3,4,10,19,4,4,59,18,5,8,1,18,2,8,2,18,8,15,1,14,2,15,1,14,3,15,4,14,10,15,1,8,1,15,1,14,5,17,1,16,2,17,1,14,1,16,2,14,2,8,1,18,1,14,1,3,1,18,1,4,2,19,7,4,22,18,4,3,5,18,2,4,35,18,1,3,1,18,2,4,15,19,1,3,2,18,1,10,1,18,4,15,1,18,3,4,6,18,2,3,1,18,1,4,6,18,6,8,2,18,6,8,3,18,1,8,1,9,3,10,1,8,1,18,2,8,1,18,1,14,2,18,1,10,3,8,1,18,9,8,1,18,1,14,1,3,1,14,2,18,2,14,4,3,2,14,1,15,1,14,2,3,2,14,3,3,2,14,12,17,3,16,8,3,2,16,2,3,1,16,43,3,3,16,9,3,5,18,1,4,4,18,4,3,4,18,2,10,1,18,1,3,3,18,1,19,4,4,3,19,3,3,1,16,2,3,1,4,2,18,1,3,1,16,3,3,1,18,2,3,1,16,4,3,2,18,1,3,3,18,1,4,178,18,2,10,4,18,1,4,11,18,2,4,6,10,1,9,1,18,2,10,2,18,2,10,3,18,1,4,4,18,1,3,1,16,2,3,3,16,159,3,3,4,493,},
{4,200,19,3,4,13,19,6,4,8,19,2,4,4,18,1,3,1,16,4,3,1,8,1,10,2,8,3,10,3,4,1,19,1,4,33,18,2,10,5,4,6,19,6,4,84,19,6,4,6,10,8,8,3,10,3,8,12,10,7,8,1,18,1,10,7,8,2,10,6,8,2,18,1,8,1,10,1,8,1,18,2,10,2,18,1,10,1,8,1,14,1,3,1,14,1,8,2,18,1,3,1,16,2,18,1,8,3,10,2,18,3,10,4,18,11,10,16,8,3,10,2,18,1,4,29,18,1,4,3,10,1,18,2,10,22,18,2,10,5,8,3,10,7,8,3,10,8,8,2,10,2,18,2,10,3,18,6,3,1,18,3,3,5,16,1,3,1,18,1,10,12,8,4,18,2,8,1,10,3,8,1,10,58,8,4,10,4,8,1,18,3,8,1,10,5,8,1,18,3,8,1,10,86,8,1,10,10,8,1,18,2,8,2,10,1,8,7,10,3,8,2,10,9,8,1,10,13,8,3,10,4,8,2,9,2,8,1,18,3,8,1,18,1,14,2,8,1,10,19,8,2,18,1,8,3,10,3,8,3,10,140,4,8,19,4,4,4,10,6,8,3,9,1,10,33,9,2,8,1,9,1,8,2,18,1,8,1,18,3,8,2,18,2,8,1,9,2,10,1,8,2,18,3,8,3,18,1,15,2,8,9,15,4,8,3,15,15,8,44,10,3,8,1,9,1,8,1,14,2,15,1,8,1,10,1,9,1,8,1,14,5,15,1,14,5,15,2,8,1,15,2,14,4,15,1,8,1,10,1,8,1,15,1,14,1,3,1,18,2,4,2,19,4,4,4,19,4,4,3,18,3,8,2,18,1,15,2,8,9,15,3,8,7,15,2,8,1,10,3,8,5,15,1,14,2,15,1,8,1,10,4,8,1,18,1,15,3,18,2,8,9,18,6,9,3,8,2,18,6,8,6,10,1,4,8,19,8,4,21,18,4,8,2,10,3,8,2,15,8,8,2,18,3,15,3,8,16,10,1,8,1,15,1,14,1,18,2,3,2,18,2,4,47,19,5,3,2,14,1,8,1,10,2,8,1,14,3,17,1,14,1,8,3,14,1,16,3,14,3,15,2,14,5,15,1,14,1,8,1,10,2,18,1,3,2,14,1,10,2,18,1,3,1,18,1,9,1,18,1,3,1,16,1,3,1,18,1,4,5,19,13,4,3,10,4,9,1,8,1,10,2,18,1,3,1,18,1,10,7,18,4,9,2,18,2,10,2,9,1,18,1,8,5,18,3,8,5,18,3,8,1,9,1,10,1,8,1,18,5,4,12,19,5,4,57,19,2,4,1,18,4,10,2,18,3,8,1,18,1,15,2,8,1,10,1,8,1,14,3,15,2,18,7,15,1,14,8,15,4,14,5,17,1,16,1,17,5,14,1,15,2,14,1,3,1,18,1,4,2,19,7,4,21,19,3,4,1,18,1,3,3,19,1,4,56,19,2,3,2,18,5,8,1,18,4,4,6,18,2,3,1,18,1,4,8,18,14,8,3,18,2,8,1,9,1,8,1,18,8,9,1,10,1,9,1,18,3,3,1,18,7,3,2,14,1,15,3,14,6,15,2,14,2,3,1,14,3,3,2,14,2,3,2,14,4,15,3,14,2,17,2,16,8,17,2,16,3,14,1,3,1,16,52,3,7,4,4,18,1,3,2,10,1,9,1,3,4,18,4,14,1,3,3,4,1,19,2,4,2,18,1,3,1,18,1,4,3,18,1,16,2,3,1,18,1,4,1,18,2,3,1,16,2,3,2,16,6,3,6,4,179,18,2,9,1,10,2,18,1,4,10,10,2,18,1,4,6,18,2,3,1,18,1,10,2,18,2,9,1,10,1,18,2,4,4,18,1,3,4,18,2,3,2,16,158,3,2,4,493,},
{4,216,19,5,4,8,19,4,4,4,18,1,16,5,3,1,18,2,14,1,18,2,10,2,18,3,4,9,10,3,4,2,10,10,18,2,10,3,8,1,10,1,8,7,10,7,4,2,19,5,4,84,19,5,4,3,18,2,10,9,8,4,10,3,8,13,10,15,8,1,10,5,8,1,10,2,8,1,18,2,10,2,18,2,8,1,10,3,8,1,14,3,8,2,3,1,16,3,3,1,8,1,10,4,18,3,10,3,18,10,4,8,10,10,8,2,9,1,8,1,4,31,18,1,4,2,10,1,18,3,10,22,18,1,10,6,8,3,10,6,8,4,10,8,18,1,9,1,10,2,18,2,10,3,18,3,10,1,9,1,18,5,3,7,18,1,10,14,8,3,18,1,8,1,10,62,8,1,18,2,8,2,10,3,18,5,8,1,10,4,8,1,18,2,8,1,10,11,8,3,10,36,8,7,10,37,8,2,10,2,8,1,18,1,8,2,10,2,8,5,10,1,8,1,10,3,8,2,10,5,8,1,10,2,8,2,10,13,8,3,9,1,10,3,9,1,10,3,9,1,8,3,9,1,8,1,15,1,18,1,9,1,10,18,8,2,15,3,8,1,10,4,8,3,10,133,9,1,10,4,9,1,10,1,4,16,10,7,8,3,10,34,9,12,18,3,9,3,18,9,15,2,8,8,15,5,8,5,15,10,8,38,18,1,8,7,10,6,8,1,14,3,18,1,8,2,18,1,15,1,14,3,15,1,8,1,15,1,14,2,3,1,14,2,15,6,14,3,8,3,14,3,18,3,4,1,19,4,4,4,19,5,4,2,18,3,8,3,18,1,8,1,15,1,8,8,7,4,8,2,15,2,18,1,8,1,15,2,8,9,15,4,8,6,15,2,14,1,15,2,18,1,8,6,18,2,8,1,18,6,9,2,18,16,4,7,19,8,4,23,18,4,8,1,10,3,8,2,7,2,15,7,18,3,15,4,8,18,14,2,18,1,14,1,3,2,18,1,4,48,19,4,4,1,18,1,3,2,8,1,10,2,8,1,7,1,14,2,17,1,14,1,7,3,17,1,16,4,14,2,15,1,8,1,15,1,14,3,15,1,14,1,3,1,14,1,8,1,10,1,18,1,14,1,18,2,10,2,18,5,3,3,4,12,19,8,4,2,10,4,8,2,10,1,18,5,10,2,18,2,10,2,18,4,9,2,18,2,10,2,18,3,9,1,8,2,18,4,8,8,18,1,9,2,8,1,18,4,4,12,19,5,4,1,18,1,3,1,18,1,4,53,19,4,4,1,3,2,18,2,10,1,8,4,15,3,8,1,10,2,14,3,18,7,8,1,18,1,15,6,14,1,15,5,18,1,15,1,3,1,14,1,15,2,14,1,17,2,6,2,7,1,6,1,14,1,7,1,15,1,14,1,18,1,4,2,19,7,4,21,19,9,4,57,19,5,18,1,3,1,18,8,4,6,18,1,3,2,4,9,18,13,8,4,15,1,8,3,18,1,14,1,18,4,3,1,18,2,10,2,18,11,3,2,14,2,15,1,14,1,3,2,14,1,15,1,14,2,15,1,14,5,3,4,14,2,3,2,14,2,15,5,14,2,17,1,16,8,17,1,6,1,17,1,16,3,17,2,16,51,3,7,4,4,18,1,3,3,9,1,18,1,3,1,16,1,3,1,18,3,14,2,18,2,3,2,18,1,4,3,18,1,3,3,4,4,3,1,16,2,3,2,18,1,10,1,18,1,16,2,3,2,16,6,3,4,16,1,3,1,18,1,4,179,18,1,9,2,10,1,18,1,4,8,18,2,10,3,4,4,18,4,3,1,18,1,10,2,18,2,10,2,18,2,4,3,18,2,3,3,18,1,9,1,10,2,18,1,3,2,16,156,3,2,4,493,},
{4,228,19,7,4,2,18,1,3,1,16,6,3,3,18,1,10,3,18,1,10,2,18,2,10,16,8,2,10,3,8,9,7,1,8,7,10,4,4,2,19,5,4,84,19,4,4,3,18,3,10,10,8,4,10,1,8,15,10,9,8,2,10,2,8,3,10,8,8,1,18,1,8,8,18,1,14,3,8,1,18,1,3,1,16,3,3,1,18,1,10,2,8,1,18,7,4,28,10,1,18,2,4,35,10,2,18,2,10,27,8,1,10,1,8,1,18,1,8,1,10,4,8,8,10,3,8,1,18,2,9,1,10,9,9,1,10,4,18,3,3,6,18,1,10,5,8,3,10,3,8,1,10,5,8,5,10,61,8,3,18,2,8,1,10,2,8,6,10,5,8,2,10,10,8,4,10,34,8,2,18,2,8,2,10,3,8,2,10,36,8,4,18,1,8,2,10,3,8,3,10,3,8,1,10,4,8,1,10,3,8,3,10,11,8,10,9,3,10,4,9,1,8,2,9,1,10,1,9,1,18,2,9,1,10,1,8,2,10,4,8,1,10,10,8,2,15,3,8,2,10,3,8,5,10,135,9,1,10,2,4,9,10,13,9,1,8,2,9,1,10,45,9,2,18,2,9,3,18,9,15,3,8,7,15,5,8,5,15,11,8,37,18,1,8,7,10,7,15,1,14,2,18,1,8,3,18,1,15,1,14,1,15,2,8,1,15,1,14,5,15,3,8,3,15,1,14,2,15,3,14,1,15,2,18,3,4,1,19,14,4,2,18,2,8,5,15,1,8,7,7,6,15,3,8,2,18,1,15,2,8,2,18,1,15,1,8,5,15,2,8,6,15,2,14,3,15,2,8,4,15,4,18,6,9,2,18,6,4,4,18,6,4,5,19,6,4,29,18,3,8,5,7,2,15,6,14,4,15,5,8,16,15,1,14,3,18,1,14,1,3,3,18,1,4,40,19,2,4,5,19,3,4,2,18,1,3,2,14,1,8,4,7,1,14,4,7,3,6,1,17,1,16,2,14,3,15,2,14,3,15,1,14,1,3,2,14,1,15,1,18,3,4,4,18,4,3,2,18,1,4,2,19,2,4,9,19,6,4,3,10,2,9,1,10,4,18,4,4,5,10,1,18,2,3,1,18,3,9,1,18,1,9,3,18,3,8,3,18,2,15,2,18,1,8,3,18,1,8,1,10,2,18,2,9,1,10,1,9,1,18,2,4,10,19,7,4,2,3,3,18,1,4,2,19,3,4,1,19,1,4,45,19,4,4,1,18,1,3,3,18,1,10,3,8,1,15,3,8,3,15,1,14,1,15,1,18,3,15,1,14,1,15,1,18,3,15,2,18,3,15,7,18,2,14,6,7,7,15,1,14,1,18,1,4,2,19,6,4,24,19,5,4,49,19,2,4,8,19,2,4,1,19,2,3,4,18,3,3,2,18,1,4,7,18,3,4,13,10,2,18,6,8,7,18,1,14,2,18,4,3,1,18,2,10,3,9,1,18,1,9,1,18,7,3,2,14,2,15,1,14,13,3,4,14,2,3,2,14,2,18,1,8,2,15,1,14,3,17,1,16,8,17,3,16,7,3,1,16,49,3,2,16,1,3,1,18,1,4,3,18,1,3,5,18,2,16,2,3,1,18,1,9,1,18,1,3,2,14,1,18,2,10,4,18,2,3,4,18,1,4,1,18,1,3,2,16,2,3,2,18,2,16,3,3,7,18,1,9,1,18,1,3,1,16,1,3,1,18,1,4,180,18,1,9,1,10,1,4,6,10,2,18,4,10,6,18,1,3,1,18,4,10,6,18,4,10,2,18,1,14,1,3,1,14,1,18,1,10,3,18,1,3,1,16,157,3,2,4,493,},
{4,228,19,8,4,2,18,1,3,1,16,7,3,1,18,1,10,5,8,2,10,4,18,2,10,3,8,3,10,4,8,1,18,3,8,2,18,3,8,18,18,1,4,1,19,8,4,82,19,1,4,4,18,3,8,1,10,3,8,5,10,1,8,2,10,2,8,1,10,1,8,4,18,1,8,9,10,1,8,2,10,4,8,6,10,1,8,4,10,7,8,1,18,2,8,3,18,1,14,2,18,1,8,2,14,4,3,4,16,1,3,1,10,2,18,8,4,3,19,4,4,3,19,9,4,47,10,30,8,2,10,2,8,2,10,4,8,6,18,2,8,1,10,2,18,1,3,2,8,1,10,4,9,1,18,2,10,1,9,1,18,2,10,2,18,5,3,5,9,1,10,1,9,1,10,3,3,3,18,1,10,2,8,1,10,9,8,1,10,58,8,6,18,1,14,1,18,1,10,7,8,2,10,15,8,2,18,1,8,2,10,20,8,1,10,14,8,1,18,1,8,3,10,4,8,1,10,32,8,3,18,5,8,2,10,4,8,3,10,10,8,2,18,1,8,2,10,11,8,14,9,1,10,3,8,1,9,3,8,1,18,2,8,5,10,3,8,3,10,9,8,2,15,1,8,11,10,135,9,1,10,2,4,8,10,15,9,2,10,46,9,2,18,3,9,2,18,2,9,4,18,3,8,8,15,4,8,7,15,11,8,47,10,6,18,1,14,1,15,1,18,1,8,4,15,1,14,1,15,2,8,1,15,2,14,5,15,1,8,4,15,1,14,2,15,2,14,1,15,1,8,2,18,3,4,2,19,13,4,2,18,2,8,2,10,1,8,2,18,1,8,7,15,2,7,3,15,3,18,1,8,4,18,1,15,3,18,1,8,4,18,1,8,7,18,1,15,1,14,4,15,2,8,4,15,2,14,1,15,2,18,8,4,20,19,6,4,24,19,2,4,5,18,2,8,5,15,7,14,5,15,2,18,1,8,16,15,1,14,2,15,1,8,2,14,1,3,3,18,1,4,40,3,2,4,5,19,2,4,1,18,1,3,1,18,2,3,2,14,1,8,3,7,1,14,1,7,2,17,2,7,3,14,1,17,1,16,1,14,5,15,4,14,1,3,1,16,1,3,2,14,1,18,1,4,7,18,1,3,1,18,2,4,2,19,3,4,9,19,5,4,4,18,3,10,4,18,1,10,1,18,2,4,5,18,8,9,1,10,1,9,2,18,3,8,2,18,2,15,2,18,3,8,1,18,2,8,1,10,2,18,3,9,1,10,2,4,3,19,4,4,3,19,8,4,1,18,1,3,5,4,1,19,6,4,44,19,4,4,1,18,1,3,4,18,1,10,2,8,2,15,1,8,4,18,1,15,1,18,4,14,2,15,2,18,2,15,2,18,1,8,2,15,2,14,1,15,4,8,2,18,1,15,1,14,2,7,8,8,1,15,1,14,1,18,1,4,4,19,4,4,24,19,5,4,49,19,2,4,6,19,4,4,2,19,1,3,2,18,1,3,1,18,3,3,3,4,9,18,1,4,13,10,2,18,7,8,1,10,2,8,3,18,1,3,2,18,1,8,1,18,5,9,5,10,1,9,1,18,5,3,2,14,3,15,1,14,11,15,1,14,2,3,5,14,4,18,1,8,1,15,1,14,4,17,1,16,8,17,3,16,6,3,2,16,49,3,1,16,2,3,1,4,4,3,1,16,5,3,2,16,2,3,2,18,2,3,2,14,1,18,1,10,5,18,1,3,6,18,1,10,1,18,1,3,2,16,3,3,3,16,3,3,2,18,1,10,1,18,2,10,2,4,1,18,1,3,2,4,182,9,2,10,1,4,5,10,3,18,3,10,6,18,1,3,1,18,1,10,8,9,1,18,3,9,1,10,3,18,4,9,1,10,1,9,1,18,1,3,2,16,156,3,2,4,493,},
{4,228,19,8,4,2,18,2,3,2,16,4,3,1,18,1,10,1,18,1,10,2,18,2,10,5,18,4,8,1,18,1,8,2,10,6,8,2,18,1,8,2,18,5,8,1,10,2,8,5,18,1,8,8,4,5,19,4,4,11,19,12,4,42,19,8,4,14,18,1,8,3,10,3,8,8,10,7,8,1,18,2,8,6,10,3,8,2,10,4,8,3,9,1,18,1,9,1,10,2,8,4,10,7,18,3,10,1,8,1,14,1,3,2,18,1,10,2,8,1,14,1,3,2,18,2,3,4,8,1,10,2,18,6,10,1,4,2,19,18,4,45,10,6,8,1,10,24,8,2,10,3,8,2,10,4,8,1,18,1,8,1,10,2,18,1,14,2,18,1,10,1,8,1,3,2,18,5,3,3,18,1,3,3,18,2,3,2,4,2,18,2,3,7,18,1,10,2,3,1,16,1,3,2,18,1,10,5,8,2,10,62,8,7,18,1,3,1,14,1,8,1,10,6,8,3,10,13,8,5,10,79,8,1,18,1,14,3,18,1,8,2,10,5,8,1,18,2,8,1,10,9,8,2,18,1,8,2,10,11,8,6,10,1,8,4,18,4,8,4,9,2,8,1,18,1,14,2,18,3,8,3,10,2,8,4,10,4,8,2,10,2,8,7,15,2,8,5,10,4,8,2,10,4,8,1,10,127,4,6,18,2,9,1,10,15,9,1,10,34,9,3,10,9,9,2,8,6,9,1,10,4,9,1,8,9,15,4,8,8,15,9,18,2,8,33,18,1,8,13,10,5,8,2,18,3,8,4,15,1,14,2,15,4,14,5,15,1,8,4,15,1,14,2,15,1,8,1,15,2,8,3,18,2,4,3,19,12,4,3,18,3,8,2,18,9,15,4,14,2,15,2,18,1,8,4,18,4,8,3,18,1,15,1,18,1,8,7,18,2,15,1,14,5,15,1,8,3,7,1,15,4,18,7,4,4,19,5,4,13,19,4,4,25,19,5,4,3,18,4,8,3,15,8,14,2,15,2,8,3,15,5,18,4,8,4,15,3,14,1,7,1,8,3,14,2,3,1,14,1,18,7,4,34,3,2,4,1,19,5,4,2,3,3,14,5,8,2,14,2,7,2,17,1,14,1,7,1,8,2,14,2,17,1,14,5,7,1,15,3,14,1,3,1,16,1,3,3,18,1,4,7,18,1,3,2,4,1,19,4,4,10,19,5,4,4,18,2,8,1,10,4,18,1,10,2,18,1,4,5,18,1,3,1,18,2,10,1,9,1,18,2,9,1,10,3,8,1,18,12,15,2,8,1,9,1,10,1,9,1,18,3,10,2,4,3,19,4,4,3,19,8,4,1,18,1,3,1,14,2,3,3,4,2,19,4,4,45,19,2,4,1,18,1,3,1,18,3,3,2,18,1,8,8,18,1,15,1,18,4,15,3,18,3,15,2,8,3,15,1,14,3,15,3,8,2,9,1,8,1,14,2,15,1,8,1,7,1,14,3,7,1,8,2,15,2,18,1,4,32,19,5,4,7,19,1,18,1,3,2,18,1,4,41,19,2,4,2,19,4,4,2,18,2,4,1,10,1,18,4,3,3,19,1,4,29,18,3,10,2,8,2,10,1,8,1,18,2,8,1,9,1,18,5,9,2,18,1,9,3,18,5,3,5,14,1,15,2,14,1,3,1,14,1,15,1,14,3,15,3,18,3,14,1,3,4,14,2,3,1,14,2,15,1,14,6,17,1,16,7,17,1,14,1,17,3,16,3,17,1,3,1,16,4,3,1,16,44,3,2,16,3,3,1,4,3,18,1,16,10,3,3,14,1,18,6,9,1,10,1,9,1,18,1,3,5,18,4,3,2,16,2,3,3,16,4,3,1,18,2,3,2,18,1,10,1,4,186,18,1,9,2,10,1,18,4,4,6,10,6,18,3,10,8,18,5,10,4,9,1,18,7,3,1,16,155,3,3,18,1,4,492,},
{4,229,19,7,4,3,18,3,3,4,18,1,10,4,18,3,10,4,18,1,3,4,18,2,8,1,10,4,8,3,18,2,3,1,18,4,8,9,18,5,8,6,18,2,4,3,19,5,4,10,19,12,4,42,19,8,4,14,18,1,10,9,8,3,18,1,10,1,18,1,4,3,10,3,8,1,18,2,8,6,10,3,8,3,10,4,8,2,18,2,9,1,10,3,8,3,18,1,8,1,10,5,8,1,18,2,8,1,18,1,3,2,14,1,8,1,10,2,14,1,3,3,8,1,10,1,8,1,3,3,18,1,10,3,18,1,4,7,19,19,4,39,10,3,4,1,10,6,8,2,10,36,8,2,10,2,18,1,14,1,18,1,9,1,10,1,18,1,3,1,16,1,3,10,16,2,3,1,18,1,3,1,18,1,4,2,18,2,3,1,16,4,3,2,18,1,10,1,9,1,3,1,16,2,3,1,18,1,10,3,8,1,18,1,8,1,10,63,8,7,18,1,14,2,8,1,10,6,8,1,18,1,8,1,10,13,8,4,10,79,8,1,18,2,14,1,3,1,18,1,8,1,10,7,8,1,18,2,8,2,10,9,8,4,10,2,8,1,10,9,8,3,10,4,8,3,18,6,8,1,9,1,10,1,9,1,18,1,15,1,14,3,15,1,18,1,8,3,10,2,8,4,10,5,8,1,10,2,8,5,15,1,14,3,15,1,8,2,10,6,8,2,10,4,8,1,10,127,4,5,18,2,9,6,10,45,9,1,8,4,10,8,8,8,10,6,8,8,18,1,15,4,18,1,8,7,18,1,15,5,18,1,8,37,18,2,8,4,18,2,8,6,10,4,8,9,18,1,15,1,14,3,15,5,14,3,15,1,8,4,14,3,8,3,15,1,8,1,10,3,18,1,4,3,19,13,4,3,18,19,14,3,15,1,18,1,8,2,18,4,8,2,18,2,15,1,18,1,8,1,9,1,8,4,18,5,14,4,15,1,8,5,15,3,14,2,3,1,18,3,4,4,19,6,4,42,19,6,4,2,18,1,14,2,18,1,8,3,15,1,8,14,15,1,14,1,15,2,18,8,15,4,7,2,8,4,14,2,18,2,8,1,18,3,3,2,4,34,3,2,4,1,19,5,4,2,3,1,16,1,3,1,14,6,7,1,14,2,15,2,14,2,15,1,8,2,15,1,14,2,7,2,14,3,7,2,15,2,14,2,3,5,18,1,4,6,18,2,4,1,19,5,4,9,19,6,4,1,18,5,8,1,10,3,8,1,18,1,10,2,18,1,4,5,18,1,3,1,18,1,10,2,9,1,18,2,10,4,9,1,18,1,8,1,18,10,15,1,18,4,9,2,18,2,9,1,10,1,4,2,19,5,4,3,19,7,4,1,18,1,3,1,18,2,8,1,18,1,3,3,4,1,19,4,4,48,3,3,18,2,3,3,18,1,8,7,18,12,15,2,8,3,15,1,14,6,15,1,8,1,10,1,8,1,15,1,14,1,8,2,15,1,14,3,7,1,8,1,15,3,8,1,10,1,4,34,19,3,4,6,3,5,18,1,4,45,19,1,3,3,18,2,10,1,8,1,10,2,18,1,8,1,18,1,14,1,3,2,19,1,4,9,19,1,4,19,18,3,8,1,10,1,8,2,10,2,18,2,9,1,10,1,18,3,8,1,9,2,18,10,3,5,14,1,15,2,14,3,15,5,18,5,15,1,3,4,14,2,3,3,14,1,3,2,14,4,17,1,16,7,17,1,14,8,3,1,16,4,3,2,16,42,3,3,16,3,3,1,18,1,4,2,18,1,3,1,16,10,3,2,18,1,9,2,18,5,9,1,18,2,3,3,16,1,3,2,18,4,3,1,16,2,3,3,16,4,3,3,16,2,3,1,10,1,4,186,18,3,10,2,9,1,18,2,4,6,10,7,18,2,10,4,18,4,9,2,18,3,10,5,18,1,3,2,18,2,10,1,9,1,18,1,3,1,16,153,3,5,18,1,4,491,},
{4,230,19,7,4,3,18,5,4,4,18,2,3,1,18,2,10,3,18,1,3,1,16,1,3,3,18,1,8,1,10,4,8,2,18,2,3,5,18,1,8,1,10,2,8,1,18,1,8,5,18,3,8,10,18,2,4,1,19,6,4,9,19,12,4,30,19,6,4,6,19,8,4,7,18,7,10,13,4,8,10,2,8,3,10,2,8,3,10,3,8,3,10,1,8,1,10,4,9,1,18,1,8,1,18,3,10,1,8,4,10,6,8,1,18,3,3,1,14,1,8,1,10,2,18,1,16,3,3,1,18,1,10,2,8,1,3,2,18,1,10,1,4,9,19,21,4,38,10,10,8,3,10,23,18,1,10,7,8,1,10,7,18,2,10,3,18,1,16,7,3,1,4,2,3,1,16,3,3,1,4,3,18,1,3,1,18,2,3,1,16,5,3,2,10,1,9,1,3,1,16,2,3,1,8,1,10,1,8,1,18,1,14,2,8,1,10,64,8,6,18,1,14,1,18,1,8,1,10,6,8,1,18,1,8,1,10,13,8,3,10,80,18,2,14,3,8,1,10,8,8,5,10,14,8,3,10,3,8,1,10,11,8,4,18,5,8,1,9,1,10,1,9,1,8,1,18,1,15,1,14,3,18,1,8,4,10,1,8,4,10,9,8,4,15,1,14,4,8,5,10,3,8,3,10,3,8,1,10,131,18,2,9,1,10,3,9,3,10,45,8,2,18,2,8,1,9,1,10,7,8,2,18,4,8,2,10,6,9,1,8,7,15,6,8,7,18,1,15,4,8,24,10,1,8,14,18,2,8,5,18,1,8,6,10,2,8,2,15,1,18,1,10,2,8,5,15,2,14,3,15,2,8,2,15,1,14,3,15,1,8,3,15,1,14,3,8,3,18,1,8,1,10,3,18,1,4,3,19,6,4,2,19,5,4,8,18,1,8,8,18,5,15,1,3,2,14,1,15,1,8,3,18,1,15,2,18,2,15,2,18,1,8,2,10,1,8,3,18,4,15,7,8,6,15,2,14,2,3,1,18,2,4,5,19,6,4,24,19,1,4,9,19,3,4,5,19,6,4,2,18,1,3,2,14,1,8,17,15,5,18,6,8,3,15,3,8,9,18,4,3,3,4,34,3,2,4,1,19,5,4,2,3,3,14,1,15,2,14,5,15,2,7,1,14,2,15,3,14,3,7,5,15,2,14,6,3,4,4,8,19,7,4,7,19,6,4,2,18,5,8,1,10,3,18,2,10,2,4,6,18,1,3,1,18,1,9,1,10,1,18,3,10,5,8,3,18,10,15,2,18,3,9,1,18,2,9,1,10,1,4,2,19,4,4,5,19,6,4,1,18,1,3,1,18,1,8,2,18,1,3,3,18,1,4,2,19,2,4,48,3,1,16,1,3,6,14,1,18,2,8,5,18,12,15,2,8,3,15,1,14,7,15,1,9,1,8,1,15,2,8,2,15,1,14,3,7,3,15,1,8,2,9,1,18,1,4,3,18,1,4,30,19,2,4,6,3,7,4,44,19,1,3,4,18,1,10,4,8,4,18,2,19,1,4,29,18,3,8,2,18,1,8,1,10,2,8,2,9,2,18,2,8,1,9,3,18,11,3,4,14,1,15,2,14,2,15,1,18,2,15,3,18,3,9,2,18,1,3,4,14,2,3,6,14,4,17,1,16,6,17,1,14,6,15,3,14,1,16,4,3,1,16,44,3,2,16,4,3,1,4,2,18,1,3,1,16,10,3,1,18,1,9,1,10,1,9,2,10,3,9,1,18,3,3,3,16,1,3,2,18,3,3,2,16,3,3,1,16,6,3,1,16,3,3,1,18,1,3,1,18,2,4,179,19,3,4,5,10,1,9,1,18,1,4,7,10,14,18,3,10,3,18,2,9,1,10,4,18,1,3,3,18,1,10,2,18,1,3,1,16,149,3,1,16,2,3,7,19,1,4,490,},
{4,230,19,7,4,12,18,6,10,2,3,1,16,3,3,2,18,1,10,2,18,1,10,2,18,3,3,2,16,3,3,2,8,1,10,2,8,1,18,9,8,10,18,2,4,3,19,7,4,7,19,11,4,27,19,9,4,6,19,8,4,4,10,22,4,4,19,4,4,2,10,1,8,3,10,2,8,3,10,3,8,5,18,2,8,1,10,2,8,1,10,1,18,1,3,1,18,2,10,1,8,3,10,6,8,1,18,2,14,1,3,1,18,1,10,2,8,1,3,1,16,3,14,1,18,1,8,1,10,2,18,1,3,1,18,1,10,1,4,3,19,27,4,37,10,8,8,5,10,27,8,1,10,7,18,1,10,3,18,2,8,1,10,2,18,1,16,5,3,3,18,1,4,2,18,1,3,1,16,2,3,1,18,1,4,2,3,5,16,5,3,8,10,2,18,1,3,2,14,1,10,67,8,7,10,7,8,2,10,15,8,1,10,41,8,4,10,35,8,1,18,5,10,4,8,4,10,3,8,8,10,8,8,1,18,2,8,1,10,2,8,2,10,10,8,6,9,1,8,4,9,1,10,1,9,1,8,2,18,2,14,1,15,1,8,10,10,13,8,1,14,4,8,6,10,2,8,3,10,3,8,2,10,120,8,1,10,9,9,2,10,4,9,3,10,43,9,1,8,6,9,2,10,5,8,1,18,3,8,5,9,1,10,4,9,1,8,8,15,3,14,1,15,3,8,50,18,1,8,12,10,2,8,2,18,1,14,1,8,1,10,2,8,4,18,1,15,3,14,2,15,2,8,3,15,1,14,2,15,2,18,1,15,2,14,2,15,1,8,2,18,2,8,1,10,3,18,1,4,1,18,1,4,1,19,5,4,3,19,4,4,10,18,14,3,3,18,2,8,2,18,5,15,1,18,2,9,3,8,1,18,14,8,4,18,6,4,7,19,6,4,19,19,7,4,7,19,5,4,5,19,5,4,1,18,1,3,4,18,3,15,4,8,9,7,2,15,3,8,3,18,1,8,1,18,2,8,3,15,3,8,9,18,2,3,1,18,2,3,1,18,1,4,34,18,2,4,2,19,3,4,3,18,1,14,3,15,2,14,4,15,1,8,1,15,1,14,1,15,3,14,5,7,1,8,1,7,3,15,1,7,2,14,4,15,1,14,1,3,3,18,1,4,6,19,8,4,6,19,7,4,2,18,2,8,1,14,1,18,1,10,2,8,1,18,6,4,5,18,7,8,1,10,5,8,3,18,5,8,5,18,2,15,1,18,5,10,2,4,2,19,4,4,5,19,5,4,1,18,1,3,2,18,1,8,3,18,1,3,3,18,1,4,1,19,2,4,48,3,1,16,1,3,7,15,2,18,5,15,2,8,2,18,6,8,1,18,1,15,6,14,4,3,2,14,1,15,1,8,7,15,1,14,2,15,2,14,2,15,1,8,2,18,6,4,29,19,2,4,6,19,1,3,7,4,43,18,2,3,3,18,1,10,3,8,5,18,1,4,31,18,7,10,3,8,2,18,3,9,1,10,1,9,1,8,1,18,6,9,3,18,3,3,3,14,1,15,1,18,1,15,1,14,1,15,1,18,3,15,1,18,4,9,2,18,1,3,2,14,2,18,1,14,1,3,5,14,5,17,1,16,1,17,2,16,1,17,2,14,6,15,4,14,1,16,49,3,1,16,4,3,1,18,1,4,3,3,1,16,10,3,1,18,1,10,2,9,1,18,1,9,3,18,5,3,1,16,3,3,1,18,4,3,1,16,14,3,5,4,179,19,4,4,4,18,3,4,7,10,5,9,1,10,2,18,2,10,4,3,2,18,1,10,3,18,2,10,4,8,1,3,4,18,1,9,1,18,1,3,2,16,148,3,2,16,2,3,3,16,4,3,1,4,490,},
{4,230,19,7,4,19,3,2,16,2,3,2,18,1,10,5,18,1,3,1,18,3,3,2,16,2,3,2,18,1,10,3,8,1,18,2,8,1,18,5,8,10,18,2,4,4,19,6,4,14,19,1,4,29,19,10,4,17,10,22,18,1,4,2,19,5,4,2,10,2,18,2,8,1,10,2,8,3,10,3,8,4,18,4,10,2,8,1,10,1,18,1,3,1,18,2,10,11,18,1,14,1,3,1,14,1,18,1,10,2,8,1,3,1,16,2,3,1,18,3,10,6,4,2,19,14,4,8,19,6,4,36,10,4,8,9,10,27,8,2,10,9,8,1,3,2,18,2,10,1,18,1,16,5,3,2,18,1,4,5,18,1,3,6,16,2,3,3,16,4,3,4,16,1,3,3,18,1,10,1,18,1,3,3,8,1,10,6,8,2,10,82,8,1,10,8,8,1,10,38,8,1,18,4,8,1,10,8,8,1,10,26,8,5,10,5,8,3,10,3,8,2,18,3,8,4,10,8,8,1,18,3,10,2,8,3,10,7,8,6,10,5,9,2,8,5,9,1,8,1,18,2,8,3,18,1,8,7,10,7,8,1,10,4,8,1,18,1,14,3,18,1,8,1,18,2,8,2,10,1,8,1,18,2,8,6,10,120,8,1,10,6,9,1,10,5,9,1,10,46,8,7,9,4,8,3,18,6,8,3,18,2,8,1,9,1,10,3,8,1,18,1,8,7,18,1,15,1,14,3,15,2,18,1,8,53,10,1,8,6,10,4,8,3,18,1,8,1,10,2,8,1,18,4,15,6,8,3,18,3,14,1,18,3,14,3,18,4,14,1,18,1,8,1,10,3,18,3,4,1,19,4,4,13,19,1,4,20,18,13,10,3,18,4,3,2,18,4,4,4,18,5,4,37,19,8,4,8,19,4,4,11,18,1,3,4,18,8,8,8,7,2,15,3,8,4,18,4,8,2,15,3,8,3,7,1,8,5,18,1,14,1,3,1,18,3,4,21,3,2,4,11,18,5,4,5,18,1,8,3,15,1,14,6,8,2,15,1,14,9,7,3,8,4,7,1,14,7,3,3,18,1,4,5,19,3,4,2,19,3,4,6,19,7,4,2,18,2,8,1,18,2,8,1,10,1,18,8,10,3,9,1,18,4,14,1,18,2,10,6,8,3,18,5,8,6,18,7,10,2,4,6,18,1,3,1,4,2,19,6,4,1,18,1,3,2,14,1,8,3,18,2,3,2,18,1,4,51,18,1,3,7,14,5,15,1,18,2,14,1,18,1,8,1,9,1,18,8,15,5,14,5,16,1,3,1,14,1,15,1,8,4,15,2,8,2,18,1,8,3,15,1,14,3,15,2,18,5,4,26,19,5,4,5,19,2,18,1,3,6,18,1,4,27,19,3,4,7,3,2,18,5,3,4,18,5,8,3,18,1,19,2,4,22,19,2,4,4,19,2,18,14,9,1,10,1,8,1,18,7,10,2,9,1,18,3,3,4,18,16,3,1,14,1,18,1,8,1,18,1,14,1,3,4,14,3,3,1,14,1,3,1,16,2,17,1,14,10,15,4,14,2,16,3,3,2,16,48,3,1,4,5,3,1,16,6,3,3,18,1,9,1,10,1,9,1,18,8,10,1,18,1,3,1,16,4,3,1,18,1,4,1,18,1,3,1,16,13,3,6,18,1,4,178,19,5,4,13,10,4,18,1,9,1,18,2,3,1,18,2,10,3,3,3,18,4,9,1,10,4,18,1,3,8,16,149,3,2,16,2,3,2,16,5,3,1,4,490,},
{4,231,19,7,4,17,18,1,3,5,10,7,18,1,3,5,16,5,3,2,18,2,8,5,18,4,8,7,10,2,8,3,10,1,4,4,19,5,4,44,19,9,4,10,18,1,10,3,18,1,10,22,8,2,18,2,4,2,19,6,4,2,10,1,18,3,8,5,10,3,8,4,18,4,8,1,10,3,18,1,3,1,18,2,10,9,18,1,8,1,18,2,3,1,14,1,18,3,14,1,3,6,18,2,10,5,4,2,19,13,4,11,19,3,4,36,10,2,8,1,10,2,8,9,10,26,8,2,10,10,18,1,3,2,18,2,3,1,16,5,3,2,18,1,10,1,4,5,18,1,3,2,16,14,3,2,16,3,3,2,18,2,3,3,18,1,10,3,18,2,8,2,18,2,8,1,10,78,8,4,10,46,8,1,18,5,8,1,10,8,8,1,10,33,8,3,10,5,8,2,18,4,8,2,10,10,8,1,18,2,8,1,10,2,8,4,10,6,8,2,18,2,8,1,10,8,8,1,18,3,8,2,9,1,8,2,10,1,8,1,18,4,8,5,10,13,8,1,18,5,14,2,18,1,8,3,15,1,14,1,18,1,8,3,18,1,8,1,10,2,8,2,10,5,8,1,10,110,8,1,10,6,9,1,10,4,9,1,18,1,9,2,10,12,9,1,10,31,8,6,10,4,8,2,18,8,8,4,18,2,8,2,9,1,8,1,18,2,8,7,18,2,15,4,18,2,8,52,10,3,8,5,10,3,8,6,10,2,8,2,15,2,8,1,18,1,15,1,14,1,15,1,18,3,8,3,18,4,3,4,18,2,10,1,18,10,4,2,19,3,4,13,19,5,4,19,18,6,10,2,18,3,10,2,18,9,4,7,18,3,4,38,19,7,4,2,18,5,4,2,19,4,4,11,18,2,3,3,18,9,8,8,7,1,15,3,8,4,18,4,15,5,8,2,7,3,8,4,18,1,3,1,18,1,10,2,4,21,3,3,4,2,18,1,19,1,4,6,18,1,3,1,18,1,3,4,18,5,8,1,10,1,8,2,7,1,14,1,7,2,14,1,15,1,8,2,14,7,3,1,14,3,7,2,8,4,7,2,14,7,3,3,18,1,4,18,19,7,4,1,18,6,8,2,18,3,3,1,18,4,9,2,18,2,8,2,18,4,9,1,10,6,8,2,18,9,8,5,18,2,14,1,18,2,10,2,4,6,18,1,3,1,18,1,4,1,19,5,4,1,18,1,3,2,14,1,15,1,8,1,15,1,18,1,8,1,18,1,14,1,3,2,18,1,4,51,18,1,3,2,18,1,3,3,14,1,15,1,14,4,18,2,14,1,18,1,9,2,18,1,14,2,15,5,14,10,17,1,3,1,14,1,15,2,8,3,14,2,18,1,8,1,9,2,10,1,8,2,15,1,14,4,15,1,8,2,18,2,4,26,19,5,4,8,18,3,3,3,18,1,4,27,19,1,3,1,19,2,4,5,18,1,3,5,18,3,3,3,18,5,8,1,15,1,14,1,3,2,19,2,4,18,18,3,3,1,19,1,4,3,19,3,18,13,8,1,9,2,18,2,8,2,18,3,9,3,18,4,3,4,18,18,9,2,18,1,14,1,3,3,14,3,3,4,16,2,3,1,14,10,15,4,14,2,3,1,16,1,3,2,14,1,3,2,16,2,3,2,16,41,3,2,4,5,18,1,3,1,16,5,3,1,18,1,10,4,18,2,3,5,18,2,10,1,18,1,16,5,3,1,4,2,18,1,3,1,16,12,3,3,18,1,3,3,18,2,4,177,19,5,4,14,10,3,18,1,10,1,3,3,18,1,10,4,3,4,18,3,10,4,18,2,3,3,18,2,3,2,16,161,3,1,4,490,},
{4,232,19,7,4,16,3,3,18,2,10,2,18,1,10,4,8,1,18,2,3,4,16,6,3,2,18,2,8,4,10,1,8,15,10,3,4,2,19,5,4,8,18,13,4,23,19,6,4,6,18,7,10,26,8,2,18,3,4,2,19,6,4,2,10,1,18,3,8,5,10,4,8,5,18,2,8,1,10,3,8,1,18,3,10,8,18,2,8,2,18,2,14,1,3,1,16,2,3,2,14,1,3,4,18,2,8,1,10,1,18,1,10,2,4,2,19,10,4,41,19,5,4,7,10,2,8,1,10,7,8,4,10,24,8,1,18,2,8,1,10,9,8,4,18,1,3,1,16,4,3,4,18,2,3,7,16,20,3,6,18,2,8,2,18,1,3,2,18,4,8,1,10,67,8,1,10,10,8,4,10,46,8,5,10,44,18,2,8,1,10,4,8,1,18,5,8,2,10,5,8,2,10,4,8,1,18,2,8,1,10,2,8,4,10,6,8,1,18,2,8,2,10,1,8,4,10,3,8,1,18,1,14,3,18,1,8,1,10,3,8,2,18,4,8,4,10,8,8,1,10,4,8,1,18,2,8,2,18,1,14,2,15,1,18,1,8,1,18,1,14,2,15,1,18,1,8,1,18,2,8,2,10,1,8,2,10,128,9,1,18,2,9,1,10,12,9,1,10,32,9,7,10,1,9,2,8,2,18,7,8,4,18,2,8,5,18,1,8,7,18,7,8,53,10,4,8,4,10,3,8,3,10,2,8,3,9,1,8,1,18,2,8,2,18,1,14,1,15,1,18,3,8,3,18,4,3,2,18,3,4,2,18,9,4,2,19,5,4,12,19,21,4,47,19,3,4,25,19,2,4,3,18,1,3,3,18,4,4,3,19,1,4,16,18,11,8,8,15,3,8,4,18,4,15,5,8,1,7,2,14,1,7,1,8,3,15,1,14,1,18,2,4,22,3,4,18,1,4,1,18,1,19,1,4,6,3,11,18,1,8,1,10,2,8,1,7,3,8,1,15,2,8,1,15,1,14,10,7,3,8,1,7,1,8,3,7,2,14,5,18,2,3,3,4,18,19,6,4,2,18,5,8,1,18,1,8,2,18,7,8,2,18,3,9,3,8,1,10,7,9,1,8,1,18,11,8,3,9,1,18,5,10,3,4,6,3,1,18,1,4,1,19,3,4,3,18,1,3,1,18,2,8,3,18,3,3,4,18,1,4,5,19,3,4,1,19,1,4,44,3,3,14,1,18,2,15,2,18,1,8,1,18,1,14,2,8,2,15,1,14,3,15,3,14,2,3,1,16,3,3,2,14,6,8,1,15,1,8,3,14,1,3,1,14,1,15,1,8,1,9,1,10,3,8,1,14,5,18,1,8,1,18,3,4,18,19,2,4,6,19,4,4,8,18,1,3,1,18,2,3,2,18,1,4,26,19,1,3,2,19,1,4,1,18,5,3,6,18,5,3,1,18,6,14,2,3,3,19,4,4,6,18,5,4,3,18,3,3,3,19,1,4,1,19,4,18,12,8,1,9,2,8,1,18,2,8,2,18,10,3,3,18,14,9,2,18,4,8,1,18,1,14,2,3,2,14,3,3,2,14,1,3,1,16,2,3,1,14,9,15,4,14,4,3,2,15,1,8,1,9,1,18,1,3,2,18,2,3,1,16,40,3,4,18,1,4,3,18,1,3,1,16,4,3,1,18,1,10,2,9,1,10,1,9,1,18,1,3,6,18,1,10,1,18,1,16,5,18,1,4,2,3,1,16,12,3,4,18,5,3,2,18,1,4,175,19,6,4,16,10,1,18,1,3,2,18,1,10,5,3,5,18,1,10,3,9,1,18,3,3,1,18,2,4,2,18,1,3,1,16,161,3,1,4,490,},
{4,233,19,7,4,15,18,2,4,3,10,2,18,1,10,2,18,1,3,7,16,8,3,1,18,1,10,9,8,10,10,5,4,2,19,5,4,7,18,2,8,1,18,12,4,22,19,3,4,9,18,2,8,5,10,5,8,1,10,20,8,2,18,3,4,1,19,7,4,2,10,1,8,1,18,2,8,5,10,4,8,7,10,16,18,2,8,1,10,2,8,1,14,1,16,4,3,1,18,2,3,3,18,2,10,5,4,2,19,10,4,40,19,6,4,7,10,1,8,2,10,4,18,3,10,2,8,3,10,20,8,2,10,2,8,3,10,5,8,1,10,7,18,1,3,1,16,3,3,6,16,29,3,2,16,2,3,1,18,1,3,9,18,1,10,68,8,2,10,8,8,4,10,46,8,2,10,48,18,1,8,1,10,4,8,1,18,4,8,4,10,5,8,2,10,4,8,5,10,11,8,2,18,1,8,1,10,3,8,1,18,1,8,2,10,2,8,1,18,1,14,1,3,2,14,1,8,1,10,3,8,2,18,1,15,2,18,1,8,3,10,9,8,10,18,2,15,1,18,4,14,3,15,1,18,4,8,4,10,112,8,1,10,15,9,1,18,2,10,49,9,1,8,10,18,6,8,36,10,1,8,42,10,3,8,5,10,1,8,4,10,2,8,1,18,2,8,2,18,2,10,2,18,1,14,1,15,1,18,5,8,2,18,6,4,14,19,6,4,12,19,24,4,2,19,3,4,10,19,1,4,1,19,2,4,25,19,8,4,24,18,1,3,6,18,3,4,15,19,2,4,4,18,1,4,7,18,2,15,2,8,6,15,1,8,8,18,1,8,4,15,1,14,4,15,3,18,4,4,20,18,2,3,3,16,1,3,1,18,1,4,8,18,1,3,9,14,2,15,1,8,1,10,1,8,7,7,2,14,5,15,4,8,2,7,6,8,3,7,2,14,4,18,2,3,3,4,18,19,6,4,2,10,1,8,1,18,2,8,2,18,2,8,2,18,8,3,2,18,1,10,7,9,1,8,1,10,2,9,1,18,12,8,3,9,2,18,5,10,2,18,1,4,6,18,1,4,6,18,1,3,1,18,2,8,5,15,1,14,2,3,4,18,1,3,1,18,2,4,1,19,6,4,42,18,1,3,3,18,5,8,1,10,1,8,1,14,2,18,2,14,1,3,1,14,2,15,3,14,1,3,1,16,6,14,5,15,1,8,1,15,1,8,3,14,1,3,2,15,1,18,1,9,1,10,4,15,1,14,5,18,1,8,1,18,2,4,18,19,2,4,7,19,2,4,9,18,1,3,1,18,5,4,25,19,1,3,2,19,2,18,2,3,9,18,4,8,1,18,1,3,1,18,2,8,2,18,2,14,2,3,6,19,2,4,4,18,9,3,6,18,1,4,1,18,2,19,2,18,11,10,3,8,1,18,2,8,1,9,2,18,5,3,1,18,21,9,1,10,1,9,1,18,1,14,1,18,2,14,9,3,1,14,2,3,1,16,1,3,1,14,9,15,3,14,5,3,1,14,1,18,1,8,1,9,2,18,2,10,1,9,1,3,1,16,44,3,1,18,1,4,3,3,1,16,4,3,1,18,1,10,1,9,2,10,2,18,1,3,2,16,2,3,2,18,1,10,1,18,1,16,5,3,1,4,2,3,1,16,11,3,5,18,4,3,3,18,1,4,175,19,7,4,15,18,1,3,3,18,1,10,4,18,1,3,2,16,2,3,1,18,1,10,2,9,1,18,1,3,3,18,2,4,4,3,2,16,160,3,1,19,1,4,489,},
{4,234,19,6,4,6,19,3,4,11,10,4,18,1,3,1,16,3,3,3,16,7,3,2,18,1,4,3,10,7,8,7,18,1,8,2,10,5,4,2,19,4,4,7,18,2,8,13,18,1,4,30,18,3,10,2,8,3,10,29,8,2,18,3,4,1,19,8,4,1,10,2,18,2,8,3,10,7,8,2,10,2,8,2,10,12,8,1,10,3,18,2,10,3,8,1,3,1,16,4,3,1,18,2,3,2,18,1,10,7,4,2,19,10,4,39,19,7,4,6,10,2,8,2,10,4,18,3,8,1,10,1,8,3,10,20,18,1,3,1,8,1,10,3,8,1,18,1,8,1,10,3,3,1,18,1,10,6,3,1,16,3,3,3,16,21,3,3,16,12,3,2,18,1,3,4,18,1,3,4,18,1,10,68,8,2,10,8,8,3,10,68,8,1,10,33,8,1,18,3,8,1,10,3,8,1,18,1,8,1,10,4,8,2,10,5,8,1,10,2,8,2,10,11,8,3,10,3,8,1,18,2,8,1,10,2,8,1,18,1,14,1,3,2,14,1,18,1,10,3,8,2,18,5,8,1,10,11,8,5,18,3,8,7,18,1,14,4,15,1,18,3,8,8,10,108,8,1,10,15,9,1,18,1,9,1,10,1,4,5,10,19,8,1,10,23,8,8,9,3,8,1,18,4,8,3,9,1,8,5,10,1,8,27,10,1,8,43,10,2,8,8,18,1,8,2,10,1,8,1,18,2,8,1,10,1,8,2,10,1,8,1,18,1,14,1,15,1,18,7,4,12,19,2,4,5,19,1,4,18,19,29,4,9,19,6,4,24,19,18,4,14,18,3,3,1,14,3,18,3,4,14,19,4,4,12,18,3,15,1,8,8,10,4,8,6,10,1,18,1,3,2,14,1,15,2,18,5,4,20,3,6,16,1,3,1,18,1,4,8,18,1,3,6,14,5,15,1,8,9,7,1,14,2,7,1,15,1,14,1,15,1,8,6,15,1,14,1,7,2,14,2,7,1,8,3,7,2,14,3,15,1,8,1,18,1,3,2,4,17,19,7,4,2,10,1,8,1,18,2,8,2,18,2,8,3,18,5,8,1,18,1,3,2,18,1,10,7,18,2,8,1,9,1,8,1,18,12,8,4,9,1,18,6,10,1,18,1,4,7,18,1,4,4,18,1,3,2,18,2,8,5,15,1,14,7,3,4,18,1,4,1,19,4,4,42,3,4,18,2,14,1,18,1,8,1,10,2,8,1,14,1,3,1,15,1,18,1,14,3,15,2,14,2,3,2,16,6,14,5,15,1,7,2,8,2,18,1,14,1,3,2,18,2,9,1,10,4,8,1,14,5,7,1,18,3,4,38,18,1,3,1,18,3,4,27,19,1,3,1,19,2,18,2,3,4,14,3,15,2,8,6,18,1,14,2,8,1,10,1,8,5,18,1,3,7,18,6,15,3,14,1,15,1,8,1,15,1,14,1,3,5,18,6,19,4,4,1,18,5,10,4,8,3,9,1,10,1,9,1,18,5,14,1,18,14,9,2,18,2,9,2,18,1,9,1,10,2,18,1,3,2,14,13,3,6,14,6,15,1,8,1,15,1,14,12,18,1,9,1,18,2,3,1,16,44,3,1,4,3,3,1,16,3,3,1,18,1,4,2,18,2,10,2,18,1,3,1,16,5,3,1,10,1,18,1,3,1,16,4,3,3,18,1,3,2,16,9,3,1,18,2,3,8,18,1,4,180,19,4,4,14,3,3,18,1,10,4,18,2,3,2,16,2,3,1,8,1,10,2,9,1,18,1,3,3,18,1,4,5,18,1,3,1,16,159,3,2,18,1,4,489,},
{4,235,19,5,4,5,19,5,4,11,18,4,3,1,16,3,3,10,18,2,4,6,18,2,8,1,10,1,8,8,18,2,10,6,4,8,10,2,8,7,10,7,8,5,18,7,4,22,18,1,10,2,8,4,10,29,8,1,10,2,8,2,18,2,4,1,19,8,4,1,10,3,18,2,8,1,10,3,8,2,10,7,8,2,10,2,8,2,10,13,8,1,10,3,18,1,3,1,16,4,14,1,8,1,10,1,18,2,10,3,18,1,10,1,18,3,4,3,19,8,4,39,19,7,4,6,10,8,8,1,18,1,3,2,18,1,10,1,8,3,10,20,18,1,3,1,18,1,10,3,18,2,10,3,18,1,3,2,10,5,18,1,3,6,16,19,3,2,18,4,3,2,16,10,3,3,16,2,3,1,18,3,3,2,18,1,10,4,8,1,10,145,8,1,10,32,8,1,18,3,8,1,10,4,8,4,10,13,8,1,18,1,8,1,10,10,8,4,10,1,8,2,18,2,10,2,8,1,18,1,14,3,18,3,8,1,9,1,8,4,18,4,8,1,10,11,8,4,18,5,8,1,10,2,8,3,18,1,15,1,14,4,15,1,18,2,8,4,18,2,8,2,10,123,9,1,18,1,9,1,10,2,4,6,10,2,9,1,10,15,8,1,10,23,8,7,10,4,8,3,18,2,8,3,10,1,8,5,10,2,8,18,10,1,8,23,18,3,8,6,18,1,8,18,10,2,8,8,18,2,8,1,10,1,8,1,18,2,8,2,10,2,8,1,18,10,4,13,19,3,4,3,19,2,4,19,19,14,4,4,19,10,4,9,19,6,4,24,19,18,4,7,18,9,8,1,15,3,18,3,8,1,18,1,4,13,19,6,4,2,19,6,4,2,18,6,8,7,10,4,8,5,10,1,18,1,3,2,18,1,9,1,18,2,4,23,18,1,3,6,16,2,3,1,4,8,18,2,15,3,14,3,15,2,14,2,7,1,8,9,7,1,14,2,7,1,8,1,15,1,8,5,10,1,8,1,14,2,7,2,14,2,7,1,8,3,7,2,14,3,15,1,18,2,3,1,18,1,4,16,19,6,4,3,10,2,8,3,18,3,8,6,18,3,8,1,18,1,14,2,18,1,9,1,10,5,8,1,18,1,14,1,18,1,8,2,18,9,15,1,18,2,8,2,9,1,8,2,18,4,3,1,18,1,10,2,4,12,3,3,18,1,8,7,15,1,14,7,3,4,18,1,4,1,19,3,4,41,3,4,18,2,14,1,3,2,18,1,8,1,9,1,18,1,14,1,3,1,14,1,15,1,14,2,18,2,15,1,14,3,3,1,16,6,3,1,14,7,15,1,8,1,18,6,10,5,8,1,7,1,14,4,7,2,18,3,4,38,18,3,4,24,19,8,18,1,3,5,14,1,15,1,8,7,15,1,8,1,15,3,8,4,18,1,8,1,10,2,18,2,3,7,18,1,14,1,15,5,7,4,14,4,15,1,8,2,18,2,3,1,18,2,19,6,18,5,10,3,8,2,9,3,8,3,18,18,10,2,9,1,18,1,9,2,18,1,9,1,10,2,18,1,3,3,14,1,18,4,15,1,14,2,15,2,18,1,14,1,3,6,14,6,15,1,8,1,15,1,14,8,3,2,14,2,18,3,3,2,16,12,3,3,16,30,3,1,4,2,3,1,16,2,3,1,18,1,4,3,18,2,10,2,18,1,3,2,16,4,3,1,9,1,10,1,3,1,16,6,3,1,18,2,3,1,16,8,3,2,10,2,18,4,3,4,4,181,19,5,4,3,18,1,4,8,18,1,3,2,18,1,10,3,18,2,3,4,16,2,14,1,10,3,9,1,3,5,18,1,4,4,3,2,16,158,3,4,18,1,3,1,19,1,4,486,},
{4,245,19,5,4,4,19,4,4,5,18,2,3,6,18,6,4,2,19,1,4,8,18,1,8,1,10,1,8,7,18,3,10,2,8,5,10,1,4,4,18,3,8,7,10,7,8,7,18,4,8,1,18,11,10,6,18,5,10,4,8,9,10,22,8,4,10,4,18,1,4,2,19,7,4,1,10,3,8,3,10,2,8,4,10,5,8,1,18,2,10,2,8,2,10,17,18,1,16,4,3,1,10,4,8,1,10,4,18,1,3,3,4,48,19,8,4,4,10,10,8,1,10,1,18,1,3,2,18,1,10,1,8,3,10,21,18,3,10,2,8,2,10,2,18,1,3,3,8,1,10,2,18,1,3,2,18,2,10,1,3,1,16,13,3,2,16,5,3,1,18,1,19,2,4,2,18,2,3,5,16,5,3,4,16,1,3,1,18,1,10,1,18,3,10,5,8,3,10,45,8,2,10,22,8,2,10,69,8,1,10,36,8,2,18,1,8,1,10,4,8,4,18,2,8,1,10,11,18,2,8,2,10,2,8,2,10,6,8,4,18,3,8,1,10,2,18,1,3,3,18,1,9,1,8,1,18,2,15,1,8,4,18,2,15,1,18,1,8,1,10,7,8,8,18,2,15,1,18,2,8,1,10,3,8,3,18,1,15,1,14,3,15,1,18,2,8,4,18,1,14,1,18,1,8,2,10,6,8,3,10,50,8,5,10,45,8,1,10,3,8,1,10,7,9,1,18,3,10,2,4,8,18,1,9,1,10,14,8,1,10,21,8,8,10,3,8,6,18,1,8,2,10,2,8,25,10,3,8,4,10,3,8,14,18,4,8,3,18,4,8,10,10,3,8,4,10,3,8,6,18,2,8,2,10,2,8,2,18,1,8,1,10,2,18,1,14,1,18,7,4,15,19,8,4,36,19,18,4,2,19,6,4,24,19,5,4,3,19,2,4,12,18,3,10,3,8,7,10,1,8,6,18,2,10,2,4,10,19,6,4,2,19,6,4,4,18,6,8,11,18,1,8,2,10,1,18,1,3,2,18,1,4,5,19,4,4,17,18,1,3,3,18,2,3,1,16,2,3,1,4,8,18,2,8,3,14,8,8,3,7,2,8,4,7,2,8,11,14,2,7,2,14,2,7,1,8,3,7,1,14,4,15,1,14,1,3,2,18,1,4,16,19,6,4,2,10,3,8,2,18,1,14,2,18,1,8,1,18,10,14,2,18,1,8,6,18,1,14,2,18,12,15,1,18,2,8,1,9,3,18,8,10,2,4,11,18,1,3,2,18,2,15,1,14,1,7,1,8,4,14,3,3,1,14,2,18,2,3,4,18,1,4,1,19,5,4,36,3,3,16,1,3,2,18,1,3,4,14,1,18,3,14,2,18,6,14,4,3,2,14,3,3,3,14,4,17,1,14,3,15,1,18,1,4,8,10,2,8,1,7,1,14,2,7,3,14,2,18,2,4,38,18,3,4,2,18,1,4,20,19,1,3,3,19,1,4,3,19,1,18,1,3,5,15,1,8,5,15,2,7,1,15,3,8,6,14,1,8,1,10,2,18,1,19,1,3,7,18,2,15,1,8,2,15,3,7,1,8,2,7,1,14,1,7,1,8,1,10,3,18,1,3,3,18,1,4,1,19,2,3,4,18,1,3,1,18,2,10,3,8,4,18,2,8,2,18,2,8,1,9,3,18,2,3,2,18,8,10,2,9,2,10,1,9,1,18,2,9,2,18,8,8,2,18,1,14,1,18,3,14,1,3,4,14,8,15,1,8,1,15,1,14,5,18,3,14,1,3,1,14,1,18,1,8,2,18,1,3,1,16,9,3,8,16,29,3,6,18,1,4,4,18,7,3,1,16,3,3,1,10,2,3,1,16,7,18,2,3,1,16,6,3,3,18,1,10,3,18,4,3,2,18,1,4,1,19,2,4,178,19,6,4,2,18,1,4,2,19,3,4,3,18,2,4,5,18,1,3,5,16,1,3,1,8,1,10,4,3,2,16,3,3,1,18,1,4,2,18,1,3,1,16,148,3,1,16,10,3,1,16,1,3,6,4,485,},
{4,244,19,6,4,4,19,8,4,2,18,6,4,8,19,8,4,2,18,1,10,2,8,1,7,2,8,1,10,1,8,2,18,2,8,1,10,2,8,6,10,2,18,5,8,3,10,1,8,4,10,5,8,1,10,1,8,4,10,1,8,4,10,1,8,10,10,7,8,1,18,4,8,2,18,4,8,10,10,29,4,2,19,7,4,2,10,2,18,3,8,7,10,4,8,1,18,1,8,1,10,2,18,1,3,1,18,2,8,1,10,5,8,2,10,6,8,1,3,1,16,3,14,1,8,1,10,2,18,1,10,4,8,1,18,1,3,4,4,47,19,8,4,3,18,1,10,7,18,1,8,1,10,2,8,1,10,1,18,1,3,2,18,1,10,2,8,2,10,21,8,1,18,1,8,4,10,3,3,4,18,1,10,2,18,1,3,2,18,1,10,2,3,1,16,5,3,11,16,1,3,3,18,1,4,1,19,2,4,1,3,8,16,5,3,2,16,4,3,1,10,8,8,1,18,1,8,2,10,44,8,4,10,14,8,1,10,5,8,3,10,100,8,3,10,3,8,3,10,4,8,3,10,1,8,1,18,2,8,1,10,10,8,1,18,2,8,1,10,1,8,6,10,4,8,4,18,2,8,1,10,3,18,1,3,3,8,1,9,1,8,1,14,3,18,1,8,4,18,3,8,1,10,6,8,1,18,2,8,1,10,4,8,2,18,4,10,5,8,3,18,1,15,3,18,1,8,6,18,1,14,1,18,2,8,1,10,6,8,4,10,49,8,5,10,45,8,2,10,2,8,2,10,6,9,4,10,2,4,8,18,1,9,1,10,35,8,8,10,3,8,4,10,2,8,31,10,2,8,5,10,3,8,10,18,14,8,11,10,3,8,5,10,2,8,11,10,1,8,2,18,1,8,1,10,2,18,1,14,1,18,6,4,16,19,8,4,37,19,17,4,2,19,6,4,25,19,3,4,15,18,5,8,2,10,2,8,6,10,5,8,2,18,3,8,1,10,1,4,10,19,6,4,2,19,6,4,8,18,3,15,1,8,7,18,5,8,1,18,1,3,1,18,1,4,4,19,6,4,17,3,1,16,2,3,1,18,2,3,1,16,1,3,2,4,8,18,2,8,3,18,1,14,5,3,1,14,2,7,2,15,1,7,2,8,15,15,1,14,3,15,1,14,2,7,1,8,3,7,2,14,5,3,3,4,4,19,2,4,10,19,6,4,2,10,2,8,4,18,2,8,2,18,4,8,3,18,5,8,1,18,2,14,2,15,1,18,2,15,1,18,16,8,1,9,3,18,7,3,1,18,2,10,1,4,10,18,1,3,1,18,3,15,1,14,1,7,2,8,3,15,1,14,4,15,1,8,1,18,1,14,1,3,4,18,1,4,1,19,5,4,34,18,1,3,2,16,2,3,2,18,1,3,2,16,2,3,1,18,2,14,1,3,1,14,1,18,6,14,2,15,1,14,7,3,2,14,3,17,1,16,1,17,2,14,2,18,1,4,8,10,2,8,1,7,4,8,2,18,1,3,2,18,1,4,31,19,2,4,6,18,2,4,2,18,2,19,1,4,18,19,1,3,3,19,1,4,3,3,6,14,1,15,2,8,2,7,2,14,1,7,2,15,1,8,4,15,2,8,2,15,1,8,1,10,2,18,1,3,7,18,4,8,2,15,3,7,1,8,6,10,3,18,2,3,2,18,1,4,1,19,2,3,4,18,1,3,2,18,4,8,1,9,2,8,1,18,2,9,1,10,1,8,2,10,3,9,1,18,2,3,1,18,8,9,1,10,2,9,1,18,1,9,3,18,8,8,1,18,2,9,1,8,2,18,4,14,1,3,2,14,10,15,4,14,4,18,1,8,2,18,1,14,1,18,2,8,2,3,2,16,1,3,4,16,3,3,2,18,1,3,3,18,1,3,3,16,29,3,5,18,1,4,3,18,5,3,1,18,2,3,1,16,4,18,2,3,1,16,7,18,2,3,1,16,4,3,2,18,1,3,2,18,1,10,5,4,6,19,2,4,179,19,5,4,5,19,4,4,9,3,7,18,1,10,2,8,1,18,1,3,2,16,4,3,1,18,1,4,2,3,1,16,163,3,2,16,2,3,2,4,484,},
{4,244,19,6,4,4,19,8,4,3,18,1,10,2,4,3,19,15,4,2,10,2,8,2,14,1,7,1,8,1,10,1,8,1,18,3,10,1,8,1,10,3,8,4,10,2,18,2,8,5,10,2,8,5,10,2,8,3,10,2,8,2,10,3,8,1,10,4,8,4,10,10,8,8,18,1,14,4,15,1,8,3,10,4,8,3,10,3,8,1,10,16,8,1,9,2,8,1,18,2,10,2,4,3,19,5,4,2,10,2,8,1,18,4,8,1,10,4,8,2,10,8,14,1,3,4,18,1,10,10,8,1,10,1,18,1,3,1,16,2,18,1,10,8,18,1,3,5,18,1,4,46,19,7,4,5,10,2,8,2,10,10,8,1,18,3,10,12,8,1,10,4,18,1,10,4,8,1,18,3,10,3,8,1,18,1,8,1,10,2,3,2,18,4,10,2,18,2,10,2,3,2,16,4,3,2,4,2,18,3,3,2,16,3,3,1,18,3,4,2,18,1,3,2,16,19,3,1,18,1,10,2,9,1,18,1,3,2,8,1,10,1,8,2,10,38,8,3,18,2,8,3,15,1,14,1,15,1,8,1,10,9,8,5,10,4,8,1,18,2,8,1,10,112,8,4,10,1,8,4,10,10,8,3,10,2,8,2,10,2,8,3,10,5,8,6,10,1,8,2,14,1,3,2,18,2,3,2,14,3,18,1,8,1,9,1,8,2,18,3,8,1,10,5,8,1,18,2,9,1,10,3,8,2,9,1,8,1,18,2,8,1,10,5,8,2,18,4,15,1,18,1,8,2,18,6,15,1,18,2,8,2,10,5,8,3,10,47,8,3,10,16,8,1,10,50,4,8,18,1,9,1,10,35,8,6,10,4,8,3,10,3,8,38,10,1,8,1,10,1,8,4,10,1,8,2,18,1,8,2,18,8,8,1,18,1,15,1,18,1,8,7,18,4,8,31,18,4,8,1,18,1,3,1,18,1,4,2,19,8,4,6,19,8,4,40,19,14,4,38,18,16,8,12,10,6,8,1,18,6,4,9,19,6,4,2,19,6,4,5,19,1,4,3,18,4,8,3,18,11,4,3,19,8,4,17,3,1,16,2,18,2,3,5,4,9,18,5,14,4,3,1,16,2,3,1,14,1,15,4,8,15,18,1,14,3,15,2,7,1,8,5,7,2,14,5,3,2,18,1,4,3,19,6,4,6,19,5,4,3,18,3,8,2,10,1,8,4,18,3,8,1,10,2,18,6,8,1,18,2,14,2,15,1,18,20,8,2,9,1,8,1,18,6,3,1,18,2,4,11,18,1,3,1,18,2,8,2,7,2,8,3,7,2,14,3,15,1,8,2,15,1,14,1,3,5,18,1,4,1,19,2,4,35,3,8,18,1,3,5,14,1,3,4,18,1,8,1,18,8,15,1,14,4,3,3,14,4,17,1,16,2,3,2,18,1,4,8,18,1,8,1,18,1,7,1,8,1,18,1,14,2,8,1,18,1,3,1,18,1,4,33,19,2,4,4,18,3,4,2,18,2,19,1,4,16,19,1,4,1,19,5,4,2,3,5,18,1,14,3,7,9,8,4,14,2,15,1,8,5,18,2,3,6,10,2,18,1,14,1,15,4,7,3,8,7,10,2,18,1,3,3,19,8,3,4,18,3,10,1,9,2,8,2,9,1,10,6,9,1,8,1,18,9,10,4,18,8,3,2,18,2,9,2,8,6,18,2,14,1,3,2,14,3,15,3,14,5,15,3,14,5,18,1,8,2,18,7,3,3,14,1,18,2,14,1,3,4,18,1,3,8,16,13,3,1,16,14,3,1,18,2,3,2,18,1,4,3,18,1,3,2,9,2,3,2,18,2,3,1,16,3,3,1,18,1,3,1,16,6,3,1,18,2,3,1,16,3,3,2,18,2,3,2,18,1,10,5,4,4,19,4,4,182,19,5,4,3,19,7,4,5,3,6,18,1,10,2,18,1,3,1,16,8,3,1,4,2,3,1,16,168,3,1,4,484,},
{4,245,19,4,4,5,19,8,4,8,19,15,4,3,10,2,8,2,7,2,8,1,10,1,8,2,18,1,8,3,10,1,18,1,8,1,10,1,8,3,10,2,18,2,8,8,18,1,8,8,10,1,8,1,18,1,8,1,10,7,8,4,10,6,8,3,10,2,8,7,14,2,3,2,14,2,18,1,8,4,10,3,8,3,10,2,8,2,10,11,9,2,8,1,10,2,18,6,10,2,18,1,4,4,19,3,4,2,10,2,18,6,8,1,10,3,8,1,18,2,8,2,10,4,18,1,3,1,16,3,3,2,8,1,10,1,18,1,8,1,10,7,8,1,14,1,3,1,16,1,3,1,10,3,8,1,14,1,18,1,10,3,3,1,16,2,3,1,18,1,10,2,4,46,19,6,4,5,18,1,10,2,8,2,10,11,8,1,18,1,10,23,8,1,18,2,8,1,10,3,8,1,18,2,10,2,18,1,3,1,18,1,10,1,18,2,10,2,18,3,3,1,16,5,3,2,18,1,4,5,3,2,16,2,3,1,4,5,18,1,3,1,16,21,3,2,18,3,3,3,8,1,10,40,8,2,18,1,14,3,18,3,14,2,15,1,8,1,10,8,8,8,10,2,8,1,18,1,8,2,10,112,8,3,10,16,8,2,10,3,18,2,8,1,10,1,8,3,10,5,8,2,10,6,8,1,18,1,3,2,14,2,3,2,14,1,18,1,14,1,18,1,8,1,10,1,8,2,18,3,8,1,10,5,8,1,18,1,8,1,10,4,8,2,10,1,9,1,8,2,10,2,8,2,10,3,8,2,18,1,8,2,18,2,8,3,18,2,8,2,18,1,15,2,18,1,8,3,10,4,8,2,10,48,8,1,18,1,10,17,8,1,10,50,4,8,10,1,9,1,10,34,8,6,10,4,8,4,10,2,8,39,10,2,8,4,10,2,8,5,18,8,8,2,18,2,8,6,18,5,8,29,18,2,8,5,18,1,3,1,18,1,4,2,19,8,4,6,19,7,4,43,19,1,4,3,19,1,4,41,18,4,10,2,8,1,18,1,8,28,10,2,18,7,4,9,19,6,4,6,19,1,4,5,19,4,4,2,18,2,10,4,18,8,4,6,19,7,4,18,3,1,16,1,3,1,18,2,3,3,18,2,4,10,18,2,3,1,14,1,18,4,3,2,16,1,3,1,14,1,15,1,8,1,15,2,8,15,15,1,14,2,15,2,8,8,7,2,6,1,14,4,3,2,18,1,4,2,19,6,4,6,19,4,4,3,18,4,8,1,10,5,8,2,18,2,8,1,10,2,18,3,8,4,18,1,15,2,14,1,15,1,18,2,8,3,18,5,8,2,18,4,8,2,18,3,8,3,18,6,3,2,18,1,4,11,18,4,8,3,7,1,8,2,7,2,14,4,8,3,15,1,14,4,3,3,18,1,19,2,4,34,18,1,3,8,18,2,3,4,14,2,3,3,14,1,18,7,8,1,18,2,15,1,14,3,3,2,14,6,17,2,3,2,18,1,4,8,18,3,8,2,18,1,7,1,18,1,8,2,18,2,4,35,19,3,18,8,19,2,4,15,19,4,4,1,19,2,4,1,19,1,3,4,18,2,14,3,7,2,6,3,7,4,8,2,10,1,8,1,14,3,8,5,18,1,3,7,10,2,18,2,8,2,15,2,8,4,10,2,8,4,10,2,8,1,14,1,3,3,19,7,18,1,3,4,18,2,10,2,9,4,10,6,9,2,8,1,9,1,18,7,10,4,18,4,9,2,18,1,3,3,18,1,9,1,10,2,9,1,8,5,18,2,14,1,3,1,14,3,15,5,14,4,15,1,14,7,15,1,18,1,8,2,18,7,14,2,18,1,8,1,10,1,9,1,18,1,3,3,14,1,18,3,3,6,16,11,3,2,16,13,3,2,18,3,3,1,18,1,4,3,18,3,10,1,9,1,18,1,3,1,18,2,3,1,16,3,3,2,16,6,3,8,18,2,3,4,18,1,9,1,10,4,4,2,19,6,4,182,19,6,4,2,19,8,4,4,3,6,10,2,18,1,3,1,16,9,3,3,16,169,3,1,4,484,},
{4,254,19,4,4,2,19,2,4,3,19,1,4,4,19,13,4,4,18,1,8,2,10,2,8,7,10,1,8,2,10,1,18,2,10,1,8,2,10,3,18,3,8,14,10,3,8,1,18,1,8,1,10,7,8,4,10,5,8,5,10,2,8,5,14,1,3,4,14,1,8,11,10,3,8,2,10,6,8,3,10,1,9,1,18,2,9,1,10,2,9,1,18,1,9,1,8,2,10,2,18,3,4,8,10,3,8,3,18,3,8,4,14,1,3,4,8,1,18,1,3,1,16,5,3,2,18,2,3,2,8,1,10,4,18,4,14,1,16,1,3,1,8,1,10,1,14,1,3,2,18,1,10,3,18,1,16,2,18,1,10,1,18,2,4,45,19,5,4,4,18,3,10,6,8,4,10,3,8,2,10,14,8,1,10,5,18,1,10,12,8,1,18,2,10,2,18,2,10,2,9,1,10,2,18,1,3,4,16,4,3,4,18,1,4,3,18,1,3,4,4,6,3,1,16,22,3,2,16,2,3,3,18,1,8,1,10,25,8,2,10,12,8,3,18,1,15,2,18,1,15,1,14,3,15,1,8,3,10,7,8,6,18,1,8,2,10,2,8,4,10,105,8,2,10,4,8,3,10,20,8,1,14,2,8,1,10,1,8,2,10,5,8,2,10,7,8,1,18,1,14,1,3,1,14,2,3,2,15,1,18,2,8,2,9,1,8,1,18,3,8,2,10,5,9,1,8,1,9,1,10,2,8,3,9,1,8,2,10,4,8,1,9,1,10,3,8,2,18,2,15,3,18,1,8,6,18,1,14,1,15,1,8,3,10,5,8,2,10,48,8,2,10,69,4,7,10,1,9,1,10,34,8,7,10,3,8,4,10,2,8,39,10,3,8,3,10,3,8,4,18,4,8,15,18,5,8,36,18,2,4,2,19,8,4,102,18,1,3,1,18,1,8,1,10,2,8,14,10,1,8,10,18,9,4,3,18,2,4,2,19,5,4,2,19,7,4,11,19,6,4,15,19,3,4,1,19,4,4,21,18,1,3,7,18,1,4,12,18,2,3,2,18,1,4,1,18,2,3,4,14,1,8,3,15,1,8,4,7,4,8,7,15,3,8,11,7,2,14,4,3,2,18,1,4,2,19,5,4,13,18,2,3,1,18,2,8,2,10,6,8,12,18,2,15,3,18,2,8,4,18,4,8,2,18,5,8,1,18,2,8,2,18,9,3,1,18,2,4,10,18,4,8,3,7,3,14,6,8,3,15,1,14,4,3,4,4,2,18,1,4,33,18,1,3,7,18,11,3,2,18,1,8,1,9,1,18,6,15,1,14,7,15,2,14,7,18,1,4,7,18,1,3,1,14,1,18,1,8,1,18,2,8,4,18,1,4,36,19,2,3,1,18,8,3,1,19,1,4,15,19,8,18,1,3,4,18,2,3,1,17,1,14,1,6,4,17,3,6,1,7,2,8,1,10,1,8,1,14,3,8,2,10,2,8,1,3,9,18,2,8,1,10,1,8,1,15,1,8,1,10,2,8,6,10,4,8,1,15,1,3,3,19,7,18,1,3,3,18,3,10,1,8,4,9,1,10,5,9,3,8,1,9,1,18,7,10,4,18,3,10,3,18,2,3,2,18,1,9,1,10,2,8,5,18,2,14,2,3,1,14,3,15,4,14,5,15,1,14,8,15,1,18,7,8,3,14,1,15,1,8,1,10,2,8,1,18,1,3,4,18,4,3,5,16,22,3,4,18,2,3,2,18,6,10,3,9,1,18,3,3,1,16,12,3,3,16,2,3,3,18,1,3,1,16,3,3,2,18,5,4,2,19,6,4,182,19,16,4,4,18,1,3,4,18,1,10,2,3,1,16,25,3,2,16,155,3,1,4,484,},
{4,255,19,3,4,2,19,2,4,2,19,4,4,2,19,13,4,4,18,2,8,1,10,2,8,7,10,1,8,2,10,1,8,2,10,6,8,3,10,2,8,9,10,3,8,1,18,1,14,2,18,1,8,1,10,6,8,3,10,1,8,4,10,2,8,6,10,2,8,3,14,1,16,3,3,1,14,2,8,1,10,2,8,8,10,3,8,1,10,6,8,1,18,2,10,1,8,1,18,3,9,1,10,7,8,1,18,1,3,3,18,1,4,7,10,6,18,7,14,1,16,4,3,1,16,8,3,5,8,1,10,3,18,4,8,1,14,1,16,2,14,2,3,2,14,1,8,1,10,2,8,1,3,1,16,1,3,1,18,1,10,3,18,1,4,41,19,7,4,4,18,1,10,4,8,1,10,3,8,5,10,11,8,1,18,1,10,5,8,1,18,1,8,1,10,3,18,3,10,1,8,2,10,5,18,5,3,2,18,9,3,3,16,5,3,5,4,3,18,1,3,1,18,1,4,7,3,1,16,23,3,1,16,3,3,1,18,2,8,2,10,8,8,2,10,14,8,3,10,5,8,1,18,2,8,1,10,2,8,1,18,2,8,2,14,1,3,4,14,1,15,1,8,6,10,3,8,7,18,1,14,2,18,1,8,1,10,3,8,2,10,106,8,1,10,4,8,2,10,10,8,3,10,7,8,1,18,1,14,2,8,1,10,1,8,1,10,5,8,3,10,7,8,1,14,1,3,2,14,4,18,1,8,3,9,1,8,1,18,4,8,1,10,10,9,1,8,1,18,1,8,1,9,1,8,2,10,4,9,1,10,4,8,3,15,1,14,1,15,3,18,1,8,2,10,1,8,1,18,1,15,1,14,1,15,1,8,6,10,2,8,2,10,48,8,2,10,70,4,6,10,35,8,7,10,4,8,4,10,3,8,39,10,1,8,5,10,1,8,5,18,2,8,6,10,3,8,2,18,3,8,7,18,4,8,33,10,1,4,3,19,8,4,101,18,1,3,1,18,2,8,1,10,2,8,9,10,1,8,14,18,2,4,14,19,6,4,3,19,7,4,10,19,6,4,14,19,8,4,22,18,1,3,7,4,14,18,1,3,1,18,1,4,3,18,1,3,4,14,1,18,1,8,1,18,1,15,2,8,3,7,5,8,5,15,2,18,1,8,12,7,3,14,5,18,1,4,2,19,4,4,14,18,1,3,1,18,3,8,3,18,1,8,1,10,5,8,1,18,2,8,8,18,6,8,6,18,1,8,4,18,7,8,3,18,4,8,1,9,1,18,2,3,1,18,2,4,8,18,6,8,4,7,2,14,5,7,1,8,3,15,4,14,1,3,5,18,2,4,34,3,7,18,11,3,3,18,2,14,1,3,1,18,3,15,1,14,8,15,1,8,1,15,3,14,4,18,1,4,2,18,6,3,1,18,5,8,2,10,2,4,38,3,2,18,4,3,5,19,1,4,16,19,6,4,1,18,1,3,4,18,2,14,1,17,4,6,2,17,1,16,2,17,1,14,2,15,1,8,2,15,1,14,1,15,1,8,3,10,1,8,1,3,4,18,2,3,4,18,1,8,1,10,2,8,2,10,2,8,9,18,2,3,3,19,9,3,1,18,10,8,1,9,1,10,4,9,2,8,2,9,1,8,1,18,6,10,4,9,1,18,1,9,1,10,3,9,1,18,4,9,3,18,2,8,3,18,3,14,7,15,1,14,6,15,1,14,10,15,1,18,5,8,1,10,1,9,1,18,1,14,1,18,1,8,1,9,1,18,2,14,1,3,3,18,4,3,5,16,22,3,2,18,3,3,4,18,2,3,3,10,2,9,1,18,3,3,2,16,12,3,2,16,4,3,1,18,2,3,1,16,3,3,2,18,2,3,2,18,1,4,2,19,6,4,182,19,16,4,2,19,2,4,1,18,2,3,1,18,2,10,1,18,1,3,1,16,9,3,3,16,13,3,7,18,1,3,2,16,147,3,1,4,484,},
{4,260,19,22,4,5,18,3,8,1,18,3,8,1,10,3,8,2,10,3,8,2,10,1,8,1,10,2,8,3,10,1,8,2,10,6,8,2,18,1,8,1,10,1,18,1,10,1,18,1,3,1,16,2,3,1,8,2,10,2,8,1,10,2,8,2,10,2,8,5,10,1,8,2,10,3,8,3,7,1,14,2,16,3,17,1,14,1,8,2,10,5,8,1,10,3,8,3,10,2,8,1,10,3,8,4,18,2,10,1,18,2,9,2,10,8,8,1,18,2,3,1,18,1,4,8,10,6,8,1,18,1,3,2,14,1,18,2,3,1,16,14,3,3,18,1,10,1,8,1,18,1,3,1,18,1,8,1,10,2,8,1,14,1,16,3,3,2,18,1,10,3,18,1,16,2,3,1,18,2,3,5,4,40,19,6,4,4,10,6,8,2,10,3,8,1,10,6,8,1,18,3,8,1,10,1,8,1,18,2,10,5,18,3,10,2,18,1,10,2,18,2,10,1,8,1,10,3,8,1,10,1,18,1,3,3,18,3,3,2,18,2,3,4,18,1,3,5,16,4,3,3,4,13,3,2,16,13,3,1,16,8,3,2,16,3,3,2,18,1,10,2,8,2,10,7,8,2,10,20,8,1,18,1,14,1,3,1,18,1,8,1,10,1,8,1,18,1,14,1,18,1,10,1,8,1,3,1,16,2,3,1,14,1,8,1,15,1,8,2,10,1,8,1,18,1,8,1,10,3,8,7,18,1,3,2,14,1,18,1,10,127,8,5,10,7,8,1,18,2,8,4,10,4,8,7,10,3,18,1,14,1,3,4,14,1,18,1,8,1,10,1,8,4,18,3,8,2,10,10,8,3,9,1,8,1,18,2,8,1,10,7,8,4,15,2,18,2,15,1,18,1,8,4,18,1,15,1,14,1,15,1,18,5,8,4,10,48,8,3,10,110,8,8,10,5,8,3,10,3,8,51,18,2,8,6,10,4,8,1,18,4,8,5,18,6,8,31,10,2,9,1,4,2,19,8,4,92,19,6,4,3,18,1,3,1,18,2,8,1,10,2,8,5,18,1,8,2,10,2,8,6,18,2,8,2,18,4,4,8,19,3,4,5,19,6,4,2,19,8,4,11,19,5,4,14,19,6,4,24,18,1,3,7,4,14,18,3,4,3,18,1,3,5,18,7,8,2,7,3,8,6,15,2,8,12,7,2,8,2,7,1,14,4,18,1,4,3,19,2,4,2,18,2,4,11,18,1,3,1,18,1,10,1,18,6,10,5,8,1,18,1,15,1,18,1,8,9,18,4,8,8,9,2,8,2,18,2,8,1,18,3,8,2,9,2,8,1,18,9,4,7,18,3,10,2,18,1,14,1,15,1,8,3,7,2,14,1,17,2,14,1,7,1,8,3,15,5,14,1,3,5,18,2,4,34,3,8,18,10,3,4,18,1,3,3,18,2,14,1,3,1,14,3,15,3,18,1,8,3,15,4,14,2,18,4,3,4,18,8,10,3,4,38,3,3,18,2,3,3,19,2,3,2,4,16,19,4,4,3,18,2,3,3,18,1,14,4,6,2,17,3,16,2,17,1,6,1,17,1,14,1,8,3,15,1,8,5,18,1,3,4,18,2,3,5,18,14,3,7,19,10,18,11,9,1,10,5,9,1,8,2,10,1,9,2,18,5,10,4,9,2,10,5,9,1,18,4,9,1,18,5,8,3,18,2,14,13,15,1,14,11,18,6,9,1,8,1,18,1,14,1,18,4,14,2,15,1,18,7,3,4,16,2,3,2,16,18,3,2,18,2,3,1,16,4,3,3,16,1,3,1,18,1,9,1,18,4,3,3,16,11,3,1,16,4,3,3,10,1,18,1,3,1,16,1,3,2,18,6,4,2,19,6,4,182,19,22,4,1,18,2,10,2,18,1,3,1,16,3,3,2,16,3,3,1,4,2,18,1,3,1,16,11,3,6,18,1,10,2,18,1,3,1,16,147,3,1,4,484,},
{4,260,19,23,4,5,18,6,8,1,10,3,8,7,10,4,8,7,18,6,8,1,10,4,18,1,3,1,16,3,3,1,8,1,10,2,8,3,10,5,8,1,7,3,8,1,10,1,8,1,10,4,8,3,7,1,14,1,17,1,16,3,14,1,8,2,10,11,8,1,10,6,8,1,18,2,8,2,18,1,10,1,8,1,18,1,8,1,10,4,8,7,18,5,4,7,10,6,8,1,18,2,14,1,18,3,14,1,3,1,16,15,3,1,18,2,14,1,16,2,3,2,18,2,3,2,16,3,3,1,18,1,10,4,3,1,16,2,3,2,16,6,3,1,4,39,19,6,4,4,10,6,8,2,10,3,8,1,10,6,8,1,18,3,10,3,9,1,18,1,10,4,18,4,10,3,8,1,10,4,8,1,10,2,18,4,3,3,18,1,10,1,18,1,3,1,16,1,3,3,16,3,3,4,18,1,3,6,18,1,4,2,19,1,4,11,3,1,16,13,3,2,16,12,3,1,18,2,9,1,10,32,8,1,14,1,3,2,16,1,3,1,18,1,10,2,8,1,14,2,18,1,3,1,16,4,3,1,18,1,15,1,8,1,10,2,8,4,10,2,8,4,10,1,8,2,18,1,3,3,18,1,10,127,8,5,10,8,8,4,18,2,8,1,10,3,8,5,18,2,8,1,10,1,8,1,18,1,3,3,14,2,18,1,8,2,10,1,9,1,8,2,18,4,8,2,10,1,9,1,10,7,9,1,8,5,15,2,8,2,9,1,10,4,8,4,18,1,14,1,15,1,8,2,18,2,8,2,15,6,18,2,14,3,15,1,18,1,8,2,10,47,8,3,10,110,8,4,10,1,8,3,10,14,8,30,18,4,8,15,18,1,8,2,10,3,8,2,10,4,8,2,18,3,8,5,18,6,8,31,10,2,8,1,4,3,19,7,4,92,19,6,4,2,18,4,8,8,18,2,8,1,9,1,8,4,18,2,8,2,18,8,4,7,19,4,4,5,19,6,4,2,19,8,4,30,19,5,4,4,18,3,4,18,3,7,18,1,4,18,19,1,4,2,18,1,3,2,18,6,14,2,18,2,8,2,7,2,8,6,15,1,18,1,8,8,10,2,8,2,7,2,8,2,7,1,14,3,18,3,4,5,18,1,3,2,4,11,18,2,10,2,18,6,10,2,18,1,10,2,8,1,15,1,14,1,15,1,8,9,18,2,15,1,18,2,8,7,9,2,8,2,18,2,8,1,18,4,8,1,9,3,15,2,18,7,4,7,18,3,10,2,18,1,14,2,8,4,7,1,14,1,17,2,14,1,7,1,8,3,7,2,15,3,14,1,3,5,18,1,4,35,18,1,3,2,18,2,14,1,3,2,14,1,18,2,3,2,18,2,3,10,14,1,18,1,14,1,3,2,14,2,15,1,18,4,8,5,15,2,14,4,18,8,10,2,8,1,18,4,10,1,4,39,19,1,3,2,18,3,3,1,19,3,3,2,19,1,4,16,19,2,4,4,18,3,3,2,18,1,14,4,7,1,6,2,17,6,16,1,17,1,14,1,8,6,15,2,18,3,3,2,4,2,18,1,3,6,18,1,4,1,18,2,3,4,18,3,3,8,19,11,18,10,9,1,10,10,9,2,18,4,10,4,9,3,10,5,18,9,8,2,10,2,9,1,18,1,14,17,15,3,14,5,18,6,8,2,18,1,15,1,18,1,15,1,14,3,18,1,8,1,9,2,18,1,14,1,3,1,18,3,3,1,14,1,3,3,18,1,3,1,16,2,3,2,16,6,3,1,16,7,3,2,18,1,3,1,16,10,3,4,18,2,3,6,16,14,3,3,18,2,3,2,18,2,9,1,18,4,4,2,19,6,4,183,19,21,4,3,10,2,18,1,3,1,16,3,18,2,16,3,3,1,4,3,3,1,16,9,3,3,18,2,3,3,18,1,10,2,18,1,3,1,16,142,3,2,16,2,3,2,4,484,},
{4,260,19,10,4,2,19,4,4,6,19,2,4,9,18,3,8,9,10,5,8,1,14,1,3,1,16,8,3,1,10,1,18,1,10,1,8,1,18,1,3,1,16,3,3,1,18,1,10,3,8,3,10,5,8,1,7,1,17,1,7,1,8,1,10,6,8,5,14,1,17,2,14,1,7,1,8,2,10,1,8,3,10,1,8,5,10,5,8,1,10,2,8,3,10,4,8,2,10,3,8,4,10,2,8,3,18,4,10,9,18,3,10,3,8,4,10,2,8,1,14,1,3,1,16,15,3,3,16,10,3,1,8,1,10,2,8,1,18,2,3,1,16,11,3,1,19,1,4,34,19,9,4,4,10,5,8,3,10,3,8,2,10,6,18,2,8,1,10,1,18,1,10,3,9,1,10,2,18,1,3,3,18,1,10,4,8,1,10,4,8,1,18,11,3,4,16,5,3,2,4,3,18,2,4,2,19,6,4,6,18,1,3,3,4,2,3,1,16,8,3,5,16,12,3,1,18,4,8,1,10,3,8,4,10,22,8,1,18,1,3,1,16,3,3,1,14,1,10,3,18,1,3,2,16,4,3,2,14,1,15,1,8,1,10,3,8,5,10,2,8,2,10,2,8,1,14,3,18,1,8,1,10,2,8,3,10,118,8,1,10,3,8,5,10,4,8,1,10,4,8,2,18,1,3,2,18,1,8,1,10,3,8,8,18,1,14,3,18,2,8,8,18,3,8,2,9,1,8,4,9,2,10,3,8,2,10,2,8,1,18,1,15,2,18,1,8,1,10,4,9,1,8,2,15,3,14,1,15,1,8,3,18,2,15,1,14,2,15,1,18,1,15,2,18,2,15,2,14,1,15,1,18,1,8,2,10,47,8,1,18,1,8,1,10,111,8,3,10,19,8,29,18,4,8,15,18,1,8,1,10,5,8,1,10,4,8,3,18,2,8,5,18,5,8,32,10,3,4,6,19,4,4,87,19,9,4,3,18,5,8,2,18,4,8,1,18,3,8,5,18,3,8,3,18,5,4,3,19,11,4,5,19,5,4,2,19,8,4,30,19,4,4,4,18,5,4,17,3,3,18,4,4,17,19,3,4,3,18,8,14,2,15,1,8,4,7,1,8,6,15,1,18,1,8,3,15,3,8,2,10,2,8,2,7,2,8,2,7,1,14,2,15,1,18,11,4,9,10,2,18,2,10,2,18,5,4,5,10,1,18,1,14,2,15,2,8,2,18,1,15,2,18,1,8,2,18,2,15,2,18,1,8,7,9,2,8,2,18,6,8,1,9,4,15,3,18,6,10,2,4,6,18,2,10,2,18,1,3,1,14,1,15,1,8,4,7,1,14,1,17,1,14,1,7,1,8,3,7,2,15,2,14,2,3,5,18,1,4,4,19,1,4,30,18,6,14,1,3,1,18,3,3,2,18,2,3,9,18,3,14,1,3,2,14,2,18,5,8,4,15,3,14,3,3,1,18,5,9,1,10,5,8,1,18,3,4,40,19,2,18,5,19,6,4,16,19,2,4,4,18,3,3,3,14,2,7,4,6,5,17,1,16,3,14,1,15,1,8,1,10,2,8,2,15,1,14,1,18,2,4,1,3,2,18,1,4,3,19,1,3,5,18,4,3,3,18,4,3,6,19,12,18,10,9,1,10,11,9,2,18,3,9,1,10,3,9,3,10,5,18,9,8,2,10,3,18,1,14,8,3,1,14,8,15,4,14,3,15,1,18,7,8,2,18,3,14,3,8,1,10,3,9,1,14,1,3,3,18,2,3,4,10,1,18,1,16,2,3,2,16,14,3,1,18,1,3,2,16,13,3,1,18,1,4,1,18,2,4,4,18,1,3,1,16,13,3,1,16,1,3,2,18,2,9,4,18,4,4,3,19,4,4,196,19,8,4,4,10,1,18,1,3,1,16,2,3,1,18,1,3,1,16,3,3,1,18,1,4,1,18,1,3,1,16,8,3,2,18,1,4,4,18,5,3,1,16,142,3,9,18,1,4,481,},
{4,260,19,10,4,1,19,4,4,7,19,3,4,10,18,2,8,8,10,3,8,1,18,1,3,2,16,9,3,1,10,2,18,1,3,1,16,5,3,1,8,1,10,3,8,2,10,6,18,1,17,1,16,1,17,1,8,1,10,5,8,4,10,2,8,1,7,1,8,11,18,1,14,1,18,2,8,1,10,6,8,2,10,6,8,1,10,2,18,1,8,13,10,8,18,5,10,5,8,1,10,3,8,2,18,1,14,3,3,1,16,4,3,1,16,18,3,1,18,1,10,3,8,1,3,2,16,12,3,1,4,34,19,10,4,4,10,20,18,2,10,4,18,1,3,7,18,4,10,3,18,4,10,9,18,1,3,3,16,6,3,2,18,1,4,7,19,6,4,3,18,2,3,5,4,2,3,1,16,6,3,6,16,13,18,1,10,1,9,1,18,3,10,3,8,1,18,1,8,2,10,22,18,1,14,1,3,1,16,3,3,1,14,1,10,3,9,1,3,1,16,5,3,2,14,1,15,1,8,1,10,4,8,4,10,2,8,2,10,2,8,1,15,3,18,2,8,4,10,117,8,3,10,4,8,3,10,5,8,2,10,3,8,2,14,1,3,2,18,1,8,1,10,3,8,1,18,2,8,6,18,1,14,2,18,1,8,3,10,3,8,4,18,2,8,1,9,1,8,2,18,3,8,2,10,3,8,1,18,1,10,2,18,1,14,1,15,1,18,2,9,1,10,3,8,3,15,2,14,4,15,1,18,2,15,2,14,3,15,1,18,1,15,2,18,5,15,2,18,1,8,2,10,45,8,1,18,2,8,1,10,42,8,1,10,29,9,1,10,38,8,5,10,19,8,26,18,5,8,15,18,1,8,1,10,4,8,9,18,3,8,4,18,6,8,31,10,5,4,5,19,3,4,86,19,10,4,2,18,1,3,1,18,6,14,3,18,14,8,1,18,4,4,4,19,11,4,7,19,3,4,6,19,6,4,29,19,3,4,3,18,7,4,17,18,1,3,1,18,2,4,19,19,4,4,8,18,3,3,2,14,1,18,1,8,3,7,1,8,11,15,3,8,2,10,2,8,6,14,3,18,10,4,11,10,1,18,6,4,9,10,1,18,1,15,10,8,3,18,1,15,3,18,1,8,3,18,2,8,4,18,5,15,2,8,2,9,2,8,1,18,1,15,1,18,7,10,1,8,1,4,7,18,1,10,2,18,1,3,1,14,1,15,1,8,4,7,1,14,1,16,1,14,1,7,1,8,4,15,3,14,3,3,4,18,1,4,1,19,5,4,29,18,7,14,1,18,1,9,1,18,1,3,2,18,2,3,1,16,2,3,5,18,5,3,2,14,1,18,8,8,2,18,1,15,4,14,1,3,1,18,1,9,1,10,10,18,3,4,43,19,9,4,16,19,4,4,3,18,4,3,2,14,4,7,3,6,1,7,3,17,1,16,3,14,1,15,1,8,1,10,2,8,2,15,2,18,1,10,1,4,1,3,3,18,1,4,3,19,1,3,4,18,1,4,1,18,3,3,3,18,3,3,6,19,13,18,2,3,1,18,6,8,1,10,6,8,2,10,2,9,4,18,2,9,1,10,1,9,2,18,2,9,4,10,1,9,1,18,9,8,2,9,1,10,1,9,1,18,1,14,1,18,3,14,11,15,2,18,3,15,3,18,8,8,4,18,2,14,2,18,1,9,1,10,4,15,1,3,3,18,2,14,1,3,2,18,1,10,1,18,1,3,2,18,2,16,4,3,3,16,7,3,1,18,1,3,1,16,14,3,1,18,1,4,9,18,1,3,1,16,14,3,1,18,6,3,5,18,1,4,1,19,4,4,196,19,8,4,4,10,1,18,1,3,4,18,1,3,1,16,2,3,6,16,7,3,3,18,1,4,5,18,4,3,1,16,142,3,10,18,1,4,480,},
{4,260,19,8,4,3,19,4,4,7,19,9,4,5,18,2,8,4,18,4,8,1,18,1,3,2,16,10,18,1,10,1,8,1,3,1,16,8,18,1,10,3,8,1,10,6,8,1,14,1,3,1,16,1,3,1,18,1,10,3,8,6,10,2,8,2,10,3,8,4,10,1,8,2,18,1,3,4,18,1,10,4,8,2,18,1,8,1,10,8,18,2,8,3,18,3,8,2,10,17,8,1,10,4,8,2,10,1,8,3,10,2,8,1,18,1,14,1,3,2,16,3,3,1,16,15,3,2,16,1,3,1,18,1,10,4,3,2,16,10,3,1,18,1,4,35,19,10,4,4,10,20,18,2,10,2,9,1,3,2,16,1,3,1,16,4,3,1,18,2,3,1,18,1,10,2,18,1,3,2,18,1,10,10,18,1,3,2,16,5,3,2,18,2,4,8,19,5,4,2,3,2,16,1,3,5,18,3,3,2,16,4,3,4,16,14,3,2,10,2,18,3,10,4,8,4,10,20,8,2,18,1,3,5,14,1,18,1,10,4,18,1,3,1,16,4,3,2,18,1,8,1,10,5,8,4,10,1,8,3,10,3,8,2,18,1,14,3,18,1,8,1,10,118,8,3,10,12,8,7,18,1,14,2,18,1,10,5,8,1,18,1,14,1,18,1,8,1,10,3,8,1,18,1,14,1,3,1,14,1,18,2,8,1,10,2,9,1,8,5,9,1,10,1,8,1,18,1,14,2,18,1,8,1,9,1,10,3,8,2,10,1,9,1,18,1,14,1,15,1,8,1,9,1,10,3,9,1,8,4,15,1,14,6,15,3,14,6,15,2,18,1,8,3,18,1,15,1,14,1,18,1,8,3,10,43,8,1,18,2,10,112,8,7,9,2,10,1,9,2,10,1,9,3,8,1,10,7,9,1,10,1,9,2,8,23,18,3,8,13,18,1,8,2,18,1,8,1,10,4,8,9,18,3,8,5,18,5,8,32,10,4,4,4,19,4,4,83,19,11,4,3,18,2,3,1,18,1,8,3,18,2,14,3,18,3,3,2,18,14,4,4,19,10,4,3,18,1,4,14,19,6,4,33,18,1,3,5,18,1,4,18,18,2,4,20,19,8,4,8,18,1,3,2,18,2,8,1,18,1,15,3,8,9,15,3,8,2,10,1,8,6,15,2,18,11,4,12,10,1,18,2,4,6,19,4,4,3,18,1,15,1,18,1,8,4,15,5,8,3,15,5,8,2,18,1,15,3,8,2,18,2,15,1,18,6,8,2,15,1,8,6,18,4,10,1,9,1,4,7,18,4,14,3,8,4,7,1,14,1,16,1,17,1,14,1,8,5,15,2,14,4,3,3,18,1,4,1,19,5,4,29,18,7,14,1,15,1,18,2,3,2,18,2,3,9,18,18,8,1,15,2,18,3,8,1,10,10,4,47,19,8,4,17,19,7,3,1,18,5,14,6,7,5,14,1,16,3,3,1,14,1,8,1,10,2,8,2,18,1,8,2,10,1,18,2,3,3,18,1,4,2,19,3,3,2,19,5,3,3,19,4,3,3,19,18,18,7,9,1,10,4,8,6,9,1,10,2,9,1,8,2,9,2,8,1,18,2,9,2,18,16,8,1,18,7,14,10,15,1,18,1,15,1,18,12,8,2,9,1,8,1,18,2,15,3,18,1,10,4,9,1,18,1,14,1,3,1,14,1,18,4,14,1,18,1,9,1,18,1,3,2,18,1,3,1,16,4,3,1,18,1,3,1,16,7,3,1,18,1,3,1,16,15,18,1,4,3,18,1,3,2,18,1,4,3,18,1,3,1,16,12,3,1,18,2,3,5,16,4,3,3,18,1,4,199,19,10,4,2,10,2,18,2,9,2,18,1,3,3,18,2,3,2,16,12,3,3,18,1,4,2,10,4,9,1,3,1,16,140,3,1,16,4,3,6,18,1,4,480,},
{4,263,19,5,4,4,19,3,4,7,19,9,4,5,18,4,8,3,18,1,3,16,10,2,18,1,16,9,18,1,10,10,8,1,3,4,18,1,8,1,10,2,8,6,10,7,8,1,18,2,8,3,18,1,14,1,3,4,18,1,8,1,10,1,8,1,18,4,8,1,10,1,8,1,10,1,18,1,8,1,10,1,8,1,18,3,8,2,18,5,8,2,10,9,18,3,8,1,10,3,8,1,10,1,8,1,10,2,8,2,10,2,8,2,10,3,8,1,18,1,3,3,16,17,3,1,18,2,3,2,18,1,10,4,18,1,3,1,16,5,3,2,16,1,3,2,18,1,4,36,19,10,4,4,10,16,9,1,10,3,3,6,16,8,3,4,10,2,3,1,16,1,3,1,18,1,10,1,8,1,10,3,18,5,3,2,16,6,3,4,18,1,4,7,19,5,4,1,18,1,3,1,16,2,3,3,18,1,10,2,18,1,3,3,16,4,3,3,16,14,3,2,10,3,18,2,10,4,8,1,18,1,8,2,10,21,8,1,18,2,14,4,18,2,9,2,18,2,3,3,16,3,3,2,18,1,10,4,8,4,10,3,8,1,18,2,8,2,10,4,8,1,14,3,15,1,8,1,10,119,8,2,10,13,8,7,18,2,8,1,10,6,8,1,18,2,8,1,10,4,18,1,14,3,18,2,8,1,10,2,9,1,8,2,9,1,8,2,9,2,8,1,15,1,14,2,15,1,8,1,10,4,9,1,8,1,10,1,9,1,18,1,15,2,8,1,10,4,9,1,8,4,15,1,14,4,3,2,14,4,15,2,14,4,15,1,18,1,8,3,15,1,14,3,15,1,18,1,8,2,10,42,8,1,18,1,8,1,10,112,8,12,9,4,8,1,9,1,10,6,9,2,10,1,9,4,8,8,9,1,8,11,18,1,8,14,18,5,8,2,10,3,8,10,18,1,8,7,18,5,8,34,10,2,4,3,19,5,4,81,19,12,4,3,18,5,8,1,18,3,14,2,18,2,9,1,18,2,3,2,18,13,4,2,19,6,4,2,19,4,4,2,18,2,4,15,19,5,4,33,18,2,3,5,4,40,19,12,4,5,18,6,14,3,15,1,8,8,15,1,8,10,15,2,18,12,4,20,19,6,4,2,18,1,15,1,8,5,15,5,8,3,15,5,8,2,15,4,18,1,8,1,18,1,15,1,18,8,15,3,8,2,18,1,8,1,18,5,10,1,9,1,4,8,18,3,14,3,15,1,8,3,15,1,14,1,17,2,14,1,8,5,15,1,14,3,15,1,14,1,3,1,16,1,3,2,4,2,19,4,4,29,18,2,3,1,18,4,14,2,18,3,3,12,18,17,15,3,18,4,8,1,10,8,18,2,4,48,19,6,4,17,19,7,3,3,18,4,14,6,7,2,8,2,7,1,14,1,16,3,3,1,14,1,8,1,10,3,8,2,10,2,8,1,18,3,3,3,19,12,3,3,19,26,4,2,18,5,10,3,8,8,9,1,10,2,9,1,8,4,18,1,8,1,9,1,8,1,18,27,14,6,15,1,18,13,8,1,9,2,8,3,18,2,15,2,18,1,8,2,9,3,8,1,18,3,15,1,18,2,8,2,18,7,3,1,16,3,3,1,10,2,3,1,16,7,3,1,18,1,3,1,16,6,3,4,16,4,3,1,4,4,3,1,16,2,3,1,4,3,18,1,3,1,16,11,3,2,18,2,3,1,16,10,3,2,18,1,4,199,19,9,4,2,18,1,10,6,18,3,10,1,18,1,3,1,16,4,3,2,16,4,3,3,16,1,3,4,18,1,10,3,9,2,18,1,3,1,16,139,3,1,16,5,3,5,18,1,4,480,},
{4,282,19,9,4,6,18,4,10,2,18,1,3,1,16,2,3,1,18,3,4,2,18,5,3,5,16,8,3,1,18,1,10,6,8,1,10,1,8,2,18,1,3,4,14,1,8,14,10,3,8,1,18,1,8,3,18,2,3,4,18,1,8,1,10,1,8,1,18,4,8,1,10,2,18,2,8,1,10,1,8,1,18,7,8,3,18,2,8,5,10,5,18,4,10,1,8,8,10,4,8,4,14,1,3,4,16,11,3,1,16,4,3,1,4,3,18,1,4,6,18,1,3,2,16,5,3,2,4,33,19,15,4,2,10,8,18,1,10,8,9,1,18,2,10,1,18,1,3,1,16,16,3,1,10,2,3,3,18,1,10,5,3,6,16,11,3,1,18,1,4,12,18,1,3,3,18,2,10,1,8,2,10,1,18,1,3,2,16,6,3,1,16,15,3,2,18,4,9,1,10,4,8,1,18,1,8,1,10,23,8,1,18,7,10,1,9,1,3,2,16,3,3,4,18,1,9,1,10,3,8,1,18,1,14,2,8,1,10,3,18,1,14,1,18,1,8,4,10,3,18,1,15,1,14,1,18,1,10,102,8,1,10,32,8,9,10,8,8,2,10,5,8,4,10,5,9,1,8,1,9,2,8,2,9,1,8,1,18,1,14,1,3,1,14,1,15,1,8,1,10,8,8,1,18,2,8,1,10,5,8,2,18,1,8,1,15,1,14,4,3,3,14,3,15,2,14,4,15,2,8,2,18,1,15,1,14,3,15,2,8,2,10,42,8,1,18,1,8,1,10,31,8,1,10,74,8,19,9,3,8,1,9,1,10,8,9,1,10,1,9,3,8,20,18,2,8,9,18,10,8,4,18,2,8,11,9,1,10,3,8,2,18,4,8,35,10,2,4,3,19,4,4,1,19,5,4,75,19,11,4,2,18,1,4,3,18,7,14,1,18,1,8,1,10,3,18,15,4,3,19,6,4,2,19,4,4,13,18,2,4,7,19,3,4,29,19,2,4,3,18,1,3,4,4,46,19,8,4,4,18,2,4,1,18,2,14,4,8,17,10,1,8,1,15,1,14,1,18,1,8,1,18,4,4,7,19,2,4,15,19,8,4,1,18,3,8,6,15,3,8,5,15,4,8,2,15,4,18,2,15,2,18,6,8,2,15,6,18,3,3,2,18,2,4,9,18,4,15,3,8,4,15,1,14,3,8,5,15,1,14,3,15,1,14,1,3,4,4,2,19,4,4,30,18,1,3,3,15,2,14,3,18,2,3,2,16,1,3,1,18,1,3,5,18,6,3,1,18,12,15,1,14,1,15,2,18,2,14,1,18,1,8,2,18,3,10,1,4,2,18,2,4,48,19,6,4,23,19,2,3,2,18,4,14,5,7,3,8,3,14,1,16,4,14,1,8,1,10,3,8,3,10,1,8,1,18,1,10,1,18,1,3,4,19,35,4,7,18,5,8,1,10,1,8,10,9,1,10,1,9,1,8,1,18,1,8,4,9,2,18,15,14,2,18,14,15,2,18,4,15,3,18,8,9,1,8,1,18,1,15,3,14,2,15,1,18,5,8,4,18,4,8,1,9,1,8,1,18,1,15,1,18,1,8,1,18,2,3,3,16,1,3,1,10,2,18,1,3,2,16,5,3,1,18,1,3,1,16,5,3,1,4,3,3,2,16,2,3,1,4,4,18,1,16,4,3,1,18,1,3,4,16,10,3,2,9,1,18,1,3,1,16,11,3,3,4,203,19,4,4,3,18,1,10,6,18,2,10,1,18,1,3,1,16,3,3,9,18,3,3,5,18,2,3,6,16,143,3,5,18,2,4,479,},
{4,282,19,7,4,15,3,3,18,1,4,6,18,1,10,3,18,1,3,5,16,6,3,2,18,1,10,1,8,1,10,3,8,4,18,2,3,2,14,2,18,4,8,6,18,2,8,4,10,2,8,1,18,3,8,2,18,1,14,1,3,4,18,1,14,1,3,4,18,1,8,2,18,1,3,2,18,1,10,2,8,1,18,2,8,4,10,2,8,1,18,16,8,2,18,2,8,5,10,4,8,3,18,1,14,1,3,3,16,8,3,3,18,2,3,4,18,1,4,12,18,1,3,5,18,1,4,1,19,2,4,30,19,16,4,2,10,8,18,1,10,4,8,1,18,3,3,5,16,17,18,1,10,2,3,1,16,1,3,1,8,1,10,4,18,1,3,2,16,14,3,2,18,1,4,12,18,2,10,3,8,4,10,1,18,1,3,3,16,21,3,2,18,3,8,1,10,4,8,1,18,2,8,1,10,4,8,3,10,17,8,2,18,1,8,3,18,2,3,1,16,5,3,1,18,4,9,1,10,2,8,2,14,1,3,1,14,1,8,1,10,3,14,2,8,5,10,3,8,1,18,2,8,1,10,136,8,4,10,2,8,1,10,3,8,2,10,7,8,6,10,7,9,4,8,4,18,1,14,3,18,1,8,1,10,2,8,2,10,5,8,1,18,2,10,5,8,1,18,1,15,1,18,2,15,1,14,1,15,1,14,1,3,3,14,3,15,1,18,1,15,3,18,1,15,2,18,2,15,1,14,3,18,1,8,6,10,41,8,2,10,15,8,2,10,12,8,5,10,14,8,2,10,55,8,20,10,4,9,1,10,6,9,1,10,4,9,1,8,17,18,7,8,7,18,7,8,1,18,3,8,4,18,2,8,11,10,5,9,1,8,2,18,3,8,35,18,1,4,3,19,11,4,2,19,5,4,64,19,14,4,1,18,2,4,4,18,8,10,5,18,3,8,4,18,6,4,4,19,5,4,4,19,1,4,4,18,2,4,9,18,1,10,2,4,6,19,5,4,10,19,4,4,12,19,4,4,3,18,1,3,2,18,1,4,46,19,8,4,8,18,2,14,3,15,1,8,12,15,2,8,2,10,1,8,1,15,1,14,1,18,1,8,1,18,3,4,3,19,8,4,14,19,8,4,1,18,3,8,3,15,1,8,9,15,5,8,2,18,1,15,3,18,3,15,1,18,2,8,2,18,3,8,1,18,1,15,3,14,2,3,5,18,2,10,1,4,9,18,4,15,2,7,2,8,2,15,1,14,2,15,1,8,3,10,1,8,1,15,1,14,3,15,1,14,2,3,3,18,1,4,1,19,4,4,30,18,1,3,3,18,2,15,1,14,1,3,2,18,1,3,1,16,2,3,1,18,2,3,1,16,1,3,2,18,1,3,3,18,1,3,2,18,12,15,1,14,1,15,2,18,1,15,1,14,2,18,6,4,52,19,2,4,2,19,2,4,24,18,2,3,2,18,3,14,5,7,3,8,3,14,1,16,3,3,1,14,1,8,1,10,3,8,6,10,2,18,1,3,4,19,2,4,1,19,21,4,3,19,5,4,9,18,5,8,6,7,2,15,2,18,2,8,3,18,2,8,2,18,1,8,2,18,4,9,1,18,10,15,1,14,1,18,3,8,2,18,13,9,2,18,1,15,1,14,1,15,2,18,9,14,2,15,1,18,1,15,6,14,1,15,1,18,1,8,3,9,1,8,1,18,2,8,1,10,2,8,1,18,2,8,2,18,1,14,1,18,2,3,1,18,1,10,2,3,1,16,1,3,2,16,3,3,1,18,2,3,1,16,4,3,2,4,3,18,1,3,3,4,5,3,1,16,8,3,3,16,9,3,2,18,2,3,1,16,5,3,9,4,203,19,4,4,4,18,1,10,8,18,1,3,2,16,1,3,2,18,1,3,4,18,7,3,9,18,2,3,1,16,143,3,5,18,2,4,479,},
{4,299,19,3,4,4,19,1,4,1,19,2,4,4,10,5,8,1,18,3,14,1,3,1,16,5,3,1,18,1,10,2,18,2,10,2,8,1,18,16,8,2,18,3,8,2,18,2,8,1,10,1,8,1,18,3,8,3,18,1,3,5,16,5,18,1,8,1,18,1,3,3,18,1,10,11,18,4,8,2,18,9,8,1,10,3,8,5,18,1,8,2,10,4,8,4,14,1,3,1,16,8,3,2,18,3,3,2,18,4,4,8,19,2,4,2,19,2,4,4,19,5,4,30,19,15,4,2,18,1,10,3,18,2,10,6,18,2,3,4,16,2,3,1,16,17,3,1,18,1,10,1,18,1,16,2,18,1,10,1,8,1,10,1,18,1,3,4,16,5,3,2,16,5,3,2,4,15,8,1,10,4,8,3,10,1,18,1,3,5,16,21,3,2,9,1,10,5,8,1,18,3,8,1,10,3,8,4,10,17,8,2,18,3,10,1,18,1,3,1,16,6,3,2,18,2,9,3,8,2,18,1,14,1,3,1,14,1,8,1,10,2,8,1,14,2,8,1,10,1,8,2,10,4,8,1,18,2,10,138,8,7,10,1,8,3,10,5,8,11,10,4,9,1,8,1,10,1,8,5,18,1,15,1,14,1,15,1,18,1,8,1,10,1,9,1,18,2,10,5,8,1,18,2,8,1,10,4,8,1,15,7,14,2,3,2,14,3,15,2,18,1,8,4,18,2,15,2,14,2,18,1,8,1,10,2,8,5,10,40,8,2,10,13,8,4,10,12,8,6,10,69,8,20,9,1,10,9,9,8,8,17,18,8,8,5,18,8,8,2,18,2,8,4,18,2,8,1,9,2,8,8,9,1,10,5,9,1,8,2,18,2,8,35,18,1,4,4,19,10,4,2,19,8,4,60,19,8,4,1,19,5,4,8,18,1,3,1,14,1,18,4,8,1,10,12,8,1,18,2,4,7,19,4,4,9,18,2,8,1,10,1,4,7,10,6,18,2,4,2,19,6,4,9,19,7,4,9,19,6,4,52,19,7,4,8,18,6,8,4,7,1,8,7,15,2,8,2,10,1,8,1,14,2,18,3,4,3,19,10,4,14,19,8,4,1,18,3,8,2,15,2,8,9,15,5,8,3,18,1,15,2,18,1,8,1,18,3,8,3,18,3,8,2,15,3,14,1,3,6,18,2,10,1,4,9,18,2,8,1,18,1,15,2,7,1,15,2,8,2,15,3,8,1,15,1,8,1,10,1,8,1,14,8,3,2,18,1,4,1,19,4,4,30,18,1,3,3,18,1,8,2,18,1,3,2,18,1,3,1,16,2,3,1,18,2,3,3,18,2,3,6,18,13,15,2,18,1,8,2,18,2,8,2,18,4,4,52,19,1,4,4,19,1,4,22,19,1,4,2,18,1,3,2,18,3,15,1,14,5,7,2,15,1,8,2,14,1,3,1,16,2,3,1,18,1,8,1,10,3,8,2,15,2,8,1,9,3,8,1,18,1,3,3,19,2,4,1,19,14,4,3,19,3,4,19,18,5,8,4,7,4,15,4,8,2,15,1,18,1,8,2,18,2,8,1,18,3,9,3,18,13,8,1,9,2,8,1,18,12,9,2,18,2,14,1,15,1,18,4,14,3,18,3,14,2,15,1,18,2,15,5,14,1,18,1,8,1,9,3,8,4,18,1,8,1,10,2,18,3,8,1,18,2,8,1,10,3,9,1,3,1,16,4,3,3,4,2,18,1,16,4,3,4,18,2,3,2,18,1,4,6,3,1,16,7,3,1,4,2,3,1,16,10,3,1,18,2,3,7,18,1,3,3,18,3,4,204,19,5,4,3,18,1,10,2,9,1,18,1,9,1,10,3,18,1,3,2,16,1,3,2,18,1,3,3,18,1,10,1,18,1,3,9,18,3,14,1,18,3,3,2,16,145,3,2,18,1,4,480,},
{4,298,19,14,4,2,10,1,8,1,10,7,8,1,14,1,3,1,16,2,3,2,18,1,8,1,18,4,10,2,18,8,10,2,18,6,8,3,18,3,10,1,8,1,18,2,8,9,18,1,3,3,16,7,3,1,14,1,16,2,3,3,18,2,10,9,18,3,10,4,18,7,10,5,8,2,10,3,8,3,10,5,8,3,18,1,3,1,16,7,3,1,18,3,4,2,18,1,4,13,19,16,4,29,19,15,4,2,18,2,10,5,18,5,3,5,16,21,3,1,10,1,18,1,3,3,10,1,18,1,9,1,10,1,18,1,3,4,16,5,3,2,16,2,3,4,4,16,10,1,9,1,4,2,8,1,9,2,8,1,10,1,18,4,3,2,16,22,3,1,10,6,8,1,18,2,8,2,10,2,8,5,10,18,8,4,10,1,3,1,16,7,3,2,18,6,8,1,15,1,14,2,15,1,10,3,8,1,14,1,15,1,10,8,8,2,10,140,8,6,10,1,8,3,10,6,8,4,18,2,8,4,10,5,8,1,10,1,8,10,10,2,8,1,14,2,8,1,10,1,8,4,18,2,8,3,10,1,9,1,8,2,15,1,8,3,15,2,14,7,15,2,18,1,8,1,10,2,8,2,15,1,14,3,15,1,8,1,10,4,8,5,10,39,8,2,10,29,8,7,10,68,8,21,10,4,9,2,10,1,9,2,8,4,9,5,8,12,18,12,8,4,18,5,15,1,18,3,8,2,18,2,8,4,18,1,8,2,9,1,8,8,18,1,8,2,10,6,8,2,18,1,8,35,18,2,4,7,19,6,4,2,19,8,4,60,19,6,4,4,19,3,4,9,18,1,3,2,14,1,18,3,8,1,10,14,4,8,19,2,4,4,18,8,8,3,10,1,4,6,10,7,18,1,4,2,19,6,4,8,19,8,4,9,19,8,4,54,19,2,4,9,10,1,18,6,8,3,7,2,8,6,15,2,8,3,18,2,15,1,18,2,4,4,19,10,4,15,19,5,4,3,18,2,14,1,15,2,8,5,15,10,8,5,15,2,18,2,15,2,18,2,8,2,18,4,15,4,14,1,3,6,18,1,10,1,4,10,18,3,15,1,14,1,15,1,7,1,15,1,8,1,15,2,8,4,15,1,8,1,10,1,8,1,14,9,3,1,18,1,4,1,19,4,4,30,18,1,3,3,18,1,8,1,9,1,18,1,3,2,18,2,3,3,18,3,3,2,18,2,3,6,18,16,8,9,18,1,4,80,19,2,4,1,18,1,3,2,18,3,14,3,17,2,14,4,15,3,3,1,16,2,14,1,8,1,10,4,8,2,15,3,8,2,9,1,10,1,9,1,18,1,3,2,19,2,4,1,19,13,4,5,19,2,4,19,18,5,8,3,7,5,15,1,14,3,15,3,18,1,8,2,18,6,9,3,18,1,9,1,18,10,9,2,10,2,9,1,8,1,18,11,9,2,18,2,15,1,18,6,14,1,18,4,14,2,15,1,8,1,18,1,15,7,8,4,18,2,8,1,18,2,8,1,10,2,8,1,18,1,8,4,9,1,10,3,18,1,3,1,16,5,3,1,18,1,4,3,3,1,16,3,3,2,16,2,3,4,4,7,3,2,16,6,3,1,4,2,3,1,16,6,3,1,16,2,3,2,18,2,3,2,18,8,4,208,19,6,4,3,18,6,9,2,18,1,3,2,16,1,3,2,18,5,10,1,18,1,3,1,16,3,3,2,18,4,9,2,18,1,3,1,18,2,3,2,16,145,3,2,18,1,4,480,},
{4,279,19,1,4,1,19,3,4,7,19,3,4,4,19,14,4,2,10,1,18,1,8,5,10,3,8,1,18,1,8,5,18,1,3,2,8,1,10,2,8,1,18,2,8,1,10,1,18,3,4,4,18,4,10,3,8,1,18,1,8,1,10,3,8,4,10,6,8,1,18,1,3,6,16,2,3,3,16,4,3,4,18,1,10,2,4,7,18,2,10,3,4,1,18,2,4,8,10,2,18,2,10,12,18,3,3,5,16,2,3,1,18,1,9,1,4,18,19,16,4,28,19,16,4,2,18,1,10,2,18,1,10,1,18,1,3,2,16,1,3,2,18,1,3,5,16,21,18,1,10,1,18,1,3,2,18,1,4,2,10,1,18,5,3,1,16,3,3,2,16,1,3,2,18,4,4,9,19,1,4,19,10,1,3,1,16,2,3,4,16,16,3,2,18,1,10,3,8,6,10,4,8,2,10,23,9,1,18,1,16,9,3,6,15,1,8,1,18,2,8,1,10,4,8,1,15,1,8,1,10,101,8,1,10,27,8,3,10,19,8,1,10,14,8,4,18,1,8,1,10,2,8,2,10,5,8,1,10,2,8,4,9,1,10,5,9,1,18,1,14,2,18,1,8,1,18,2,15,1,18,1,8,2,18,2,8,9,15,2,14,6,15,3,14,1,18,1,10,2,8,1,18,1,15,1,14,3,15,1,8,1,10,3,8,9,10,32,8,1,10,3,8,2,10,31,8,4,10,39,8,3,10,27,8,5,10,3,8,7,18,4,8,2,9,1,10,4,9,2,8,8,9,2,8,12,18,11,8,7,18,4,15,1,18,3,8,8,18,1,8,9,18,5,8,1,10,5,8,2,18,1,8,32,10,2,8,2,18,4,4,4,19,6,4,2,19,8,4,57,19,10,4,15,18,3,3,1,18,5,4,7,10,5,4,13,18,7,8,1,18,1,8,4,18,1,4,6,10,2,8,2,10,4,4,2,19,6,4,9,19,7,4,8,19,12,4,62,10,2,9,1,8,1,18,3,8,2,7,4,8,10,15,1,18,4,4,4,19,10,4,24,3,2,14,1,15,1,8,4,15,10,8,6,15,2,18,2,15,2,18,2,8,2,18,3,15,1,14,2,15,3,14,3,3,2,18,2,10,1,4,10,18,3,14,3,7,1,8,2,15,2,8,3,15,2,8,1,10,1,8,1,14,4,15,1,14,4,3,1,18,1,4,1,19,4,4,30,18,1,3,3,18,1,8,2,18,2,3,1,18,3,3,4,18,4,3,3,18,2,3,1,18,14,15,7,8,5,18,1,4,79,19,3,18,2,3,2,18,3,14,2,16,3,14,6,8,1,14,1,16,2,18,1,10,2,8,3,10,1,8,1,18,1,15,4,9,1,10,2,18,1,3,2,19,2,4,1,19,13,4,26,18,6,8,2,7,3,6,1,14,6,15,1,14,1,18,1,8,2,18,6,9,2,18,6,9,3,18,4,9,2,10,2,9,2,18,27,15,2,18,2,15,3,18,1,8,1,18,1,15,3,18,1,15,2,18,5,8,1,9,1,10,1,8,7,10,2,9,1,18,1,3,4,16,3,3,1,18,1,4,2,3,1,16,4,3,6,18,1,4,7,3,2,16,6,3,1,4,2,3,1,16,9,3,1,18,2,3,3,18,1,9,1,18,6,4,208,19,6,4,7,18,4,3,2,16,2,3,2,18,2,9,1,18,3,3,1,16,4,3,1,18,5,10,2,18,1,3,5,16,143,3,3,18,2,3,2,19,1,4,477,},
{4,278,19,6,4,5,19,5,4,5,19,12,4,3,10,1,18,1,8,5,10,10,14,1,3,2,10,3,18,2,8,1,10,4,4,10,8,1,10,9,8,2,10,5,8,2,18,6,3,2,18,3,3,1,16,6,3,2,4,48,18,2,3,2,18,1,10,1,4,4,19,6,4,9,19,16,4,23,19,7,4,1,19,1,4,5,19,6,4,4,10,1,18,1,3,3,16,4,3,7,16,20,3,1,18,1,10,1,18,2,4,4,18,1,3,2,18,2,3,3,16,1,3,5,18,4,4,6,19,6,4,19,3,1,16,2,3,1,10,1,18,1,3,2,16,1,3,4,16,11,3,2,18,5,10,33,18,1,3,1,16,12,3,3,18,1,8,3,10,4,8,3,10,131,8,1,10,36,8,3,18,2,10,2,8,2,10,5,8,6,10,8,8,1,15,1,14,1,15,4,14,1,15,1,18,2,15,2,8,3,18,1,8,3,15,1,8,2,15,11,8,2,10,1,8,2,15,1,14,3,18,1,8,1,10,2,8,11,10,25,8,1,10,5,8,1,10,3,8,2,10,32,8,2,10,10,8,1,10,23,8,2,10,4,8,2,10,28,8,3,10,5,8,7,18,4,8,2,9,1,10,3,9,1,8,1,18,23,4,7,18,4,8,8,18,6,8,20,18,4,8,1,9,1,10,5,8,1,18,1,8,32,10,2,8,3,18,4,4,4,19,5,4,2,19,8,4,34,19,9,4,13,19,11,4,3,19,1,4,13,18,5,4,27,18,2,9,1,8,1,18,2,8,7,18,3,4,4,10,3,8,1,10,4,4,3,19,4,4,10,19,7,4,8,19,12,4,62,10,5,8,5,15,2,18,7,8,1,9,1,8,1,18,6,4,4,19,10,4,24,18,1,3,1,14,2,8,3,15,11,8,5,18,1,15,2,18,2,15,2,18,2,8,1,18,2,15,2,14,3,15,4,14,3,18,3,10,2,4,9,18,3,15,1,14,1,15,2,8,2,15,1,14,1,15,1,8,2,15,3,8,2,14,3,15,2,14,2,3,2,18,2,4,3,19,2,4,15,19,4,4,12,18,1,3,2,18,1,8,2,18,7,3,4,18,3,3,2,18,19,15,5,18,8,4,78,19,3,4,1,18,1,3,2,18,3,14,2,16,4,14,3,17,1,14,3,16,1,3,1,8,1,10,2,8,3,10,2,8,1,15,4,9,1,10,3,18,1,3,2,19,1,4,2,19,8,4,31,18,5,15,2,7,3,6,1,14,8,15,1,8,2,18,14,8,1,9,2,18,4,8,1,9,3,18,22,8,1,18,6,15,1,18,1,8,2,18,1,15,1,18,15,8,2,9,1,8,8,18,4,9,2,18,1,3,1,16,3,3,1,4,2,18,1,3,1,16,4,3,5,18,1,4,6,18,1,3,2,16,5,3,2,18,2,16,9,3,2,18,1,3,4,18,4,3,4,4,5,19,1,4,202,19,6,4,8,18,4,3,4,18,2,10,3,18,1,3,1,16,4,3,2,18,3,3,1,18,1,10,2,3,6,16,141,3,10,19,1,4,476,},
{4,278,19,5,4,5,19,8,4,2,19,8,4,8,10,9,8,2,10,5,8,1,18,1,3,1,18,1,8,1,10,1,8,2,10,4,4,3,19,6,4,3,10,16,18,6,8,1,18,6,3,2,16,1,3,2,16,3,3,1,18,1,4,38,19,7,4,5,18,3,4,5,19,7,4,10,19,2,4,2,19,1,4,3,19,5,4,23,19,8,4,16,10,2,18,1,3,1,16,6,3,2,16,25,3,2,18,1,4,5,3,11,18,3,3,4,18,1,4,4,19,7,4,20,3,3,18,1,10,1,18,1,3,3,18,2,3,1,16,5,3,3,16,5,3,1,18,1,3,3,18,1,10,4,8,2,10,22,8,2,10,3,18,1,3,1,16,13,3,1,18,1,8,1,10,2,8,1,10,4,8,1,9,1,10,7,9,1,10,32,8,2,10,11,8,1,10,70,8,2,10,38,8,1,10,6,18,1,14,1,18,1,8,2,18,2,8,1,10,4,8,1,18,2,8,1,10,3,8,4,10,4,8,1,15,1,14,3,15,2,14,4,18,1,10,2,8,1,18,1,15,2,14,1,15,1,8,3,15,1,8,3,15,1,14,2,15,1,8,5,10,1,8,1,18,1,15,1,14,1,18,1,8,1,10,3,8,5,18,3,8,1,10,1,8,2,10,24,8,1,10,8,8,3,10,61,9,3,10,3,9,1,18,2,9,1,10,26,9,2,10,13,8,4,9,2,8,2,9,3,10,6,9,1,18,3,4,7,18,3,4,18,18,5,8,1,18,1,8,26,9,1,10,1,8,4,18,4,8,3,10,3,8,1,15,1,8,39,18,3,4,6,19,2,4,4,19,6,4,33,19,11,4,12,19,7,4,1,19,8,4,44,18,1,8,2,18,3,8,5,10,1,8,3,18,4,10,6,8,1,10,1,9,1,4,17,19,5,4,11,19,11,4,60,18,3,10,6,8,4,18,2,4,2,18,3,4,2,18,6,10,2,4,4,19,10,4,24,18,1,14,2,18,1,8,2,15,3,8,1,15,7,8,4,18,1,15,4,18,1,8,3,18,3,15,4,14,3,15,2,14,5,18,2,8,1,10,2,4,10,18,2,9,1,8,1,15,1,14,1,18,2,15,2,14,2,15,6,14,1,15,4,14,2,3,2,18,2,4,15,19,10,4,11,18,1,3,1,18,2,8,2,18,9,3,1,18,3,3,2,18,21,14,2,18,5,14,2,18,3,4,79,19,2,4,1,18,1,3,2,18,3,14,2,16,4,17,6,3,2,18,1,10,8,8,5,10,3,18,1,3,3,4,3,19,9,4,32,18,1,3,3,14,2,7,2,14,10,18,10,8,2,18,4,8,4,18,17,15,1,18,10,8,2,10,2,8,1,18,5,8,1,9,1,8,1,18,11,8,2,18,2,8,1,10,2,8,2,18,1,8,3,9,1,10,1,8,1,14,2,15,1,8,1,9,2,10,1,18,1,16,4,3,1,18,1,4,1,18,1,3,1,16,4,3,2,18,2,4,4,18,4,3,1,16,4,3,2,18,3,3,1,16,10,3,2,16,3,3,3,18,1,3,1,16,3,3,1,18,1,4,4,19,4,4,200,19,4,4,8,18,11,8,2,10,1,18,1,16,4,3,1,18,1,9,1,10,1,18,1,3,3,18,2,3,1,16,2,3,3,16,140,3,5,16,1,3,2,16,3,3,1,4,476,},
{4,278,19,4,4,2,18,2,4,1,19,9,4,3,19,7,4,13,10,4,8,1,10,5,8,2,18,2,8,5,10,4,4,2,19,8,4,4,18,2,4,10,10,2,18,4,10,4,18,5,3,3,18,1,3,1,16,2,3,2,4,38,19,9,4,11,19,8,4,19,19,1,4,26,19,8,4,2,10,3,18,2,4,9,10,1,3,2,16,7,3,1,16,24,3,3,18,1,4,5,3,1,16,2,3,16,18,1,4,2,19,10,4,19,18,3,8,2,18,1,3,2,18,1,4,2,18,1,3,8,16,6,3,4,18,1,10,4,8,2,10,22,18,2,10,3,3,1,16,13,3,2,18,1,10,5,8,4,10,4,9,1,8,3,9,1,10,4,9,1,10,28,8,1,10,82,18,2,10,35,8,4,10,6,8,1,18,2,8,1,10,1,8,1,18,1,8,1,10,4,8,1,15,1,14,1,8,1,10,2,8,1,18,1,15,1,18,1,8,1,10,5,18,1,14,3,15,2,14,1,3,2,14,1,8,1,10,2,8,1,18,1,15,1,14,3,8,8,15,2,8,1,10,3,8,4,18,1,15,1,18,1,8,1,10,2,8,6,18,2,15,1,18,1,8,1,10,5,8,2,10,2,8,2,10,24,8,3,10,57,8,2,10,3,18,4,10,1,4,1,18,4,10,41,8,1,18,6,10,10,18,3,4,14,19,1,4,10,19,1,4,4,18,4,8,3,10,4,8,21,10,1,8,4,9,1,8,1,18,6,8,1,10,2,8,1,18,1,8,39,18,8,4,46,19,11,4,13,19,5,4,2,19,8,4,18,19,4,4,1,19,3,4,17,18,2,8,3,18,2,8,3,10,2,8,7,18,2,8,1,10,4,8,2,10,1,4,18,19,3,4,18,19,4,4,59,18,2,3,2,18,2,10,5,8,2,9,1,10,2,4,9,18,4,10,3,4,5,19,3,4,3,19,2,4,24,18,5,8,2,15,2,8,3,15,5,8,4,15,6,18,1,8,4,18,2,15,1,18,1,15,2,14,2,15,3,14,5,18,2,8,1,10,3,4,5,18,1,4,2,18,2,10,3,18,1,14,1,18,2,15,1,14,4,15,3,14,2,15,3,14,2,3,5,18,1,4,15,19,10,4,11,18,3,8,3,18,12,3,2,18,29,14,2,15,1,18,2,4,79,19,4,3,2,18,2,3,2,17,1,16,4,17,4,16,2,3,1,14,1,8,1,10,8,8,5,10,2,8,1,18,1,3,3,4,3,19,8,4,33,18,1,3,3,14,2,7,2,14,2,6,1,14,8,18,12,15,3,18,1,8,4,18,5,15,3,18,1,15,2,18,5,15,1,18,11,8,1,10,3,8,1,18,4,8,1,10,2,9,1,18,9,9,2,8,3,10,4,8,1,18,2,8,2,9,1,10,1,18,1,14,2,15,1,8,1,9,2,10,1,9,1,14,1,16,4,3,1,4,2,3,1,16,5,3,3,18,1,4,4,18,1,3,1,18,1,3,1,16,4,3,1,18,1,10,1,18,1,3,1,16,4,3,8,16,6,3,3,16,4,3,3,18,1,4,1,19,4,4,213,18,4,10,5,18,3,10,1,18,1,16,3,3,2,18,1,10,2,18,1,3,6,16,2,3,2,18,1,3,5,16,133,3,5,16,8,3,2,4,1,19,1,4,473,},
{4,278,19,4,4,2,18,1,4,2,19,9,4,25,10,7,8,2,18,5,8,1,10,2,8,1,18,2,4,4,19,7,4,19,18,1,4,11,18,3,4,1,18,1,3,2,18,1,4,1,19,2,4,36,19,10,4,2,19,2,4,4,19,10,4,46,19,8,4,1,10,10,18,6,16,34,3,3,4,4,3,1,16,4,3,5,16,10,18,1,4,3,19,10,4,22,18,1,9,1,8,1,10,1,18,1,4,6,3,1,18,2,3,3,16,8,3,1,18,1,10,1,18,2,10,2,18,2,8,1,10,20,8,1,18,2,10,2,18,1,3,1,16,12,3,2,18,1,4,1,18,1,10,3,8,1,18,1,15,1,18,1,8,1,9,1,10,3,8,1,14,1,3,1,18,1,10,5,8,3,10,110,8,1,10,46,8,2,10,2,8,3,10,4,8,1,18,2,8,2,18,1,14,1,3,1,14,1,18,1,10,6,8,1,14,4,15,1,14,1,3,2,14,1,8,1,9,2,18,1,15,1,8,1,15,1,14,2,8,10,10,3,8,1,18,1,15,4,18,1,8,2,10,2,8,1,15,3,8,2,18,3,8,3,10,3,8,3,10,2,8,2,10,84,8,1,9,1,10,2,9,1,18,1,4,18,10,12,4,52,19,16,4,3,18,2,8,1,10,9,8,21,18,2,8,3,18,3,8,1,18,2,8,1,10,2,8,7,18,1,8,31,18,13,10,4,4,10,19,5,4,4,19,3,4,2,19,2,4,2,19,1,4,3,19,1,4,6,19,11,4,13,19,5,4,3,19,7,4,9,19,2,4,7,19,8,4,10,18,4,10,2,18,2,8,9,10,2,8,6,18,4,10,4,8,2,4,99,18,1,10,2,18,3,3,3,18,2,8,5,10,3,4,3,19,2,4,5,18,2,4,36,10,3,4,1,18,8,8,1,15,2,8,3,15,16,8,4,15,1,18,1,15,1,18,1,15,7,14,3,15,1,18,4,8,1,10,1,8,1,10,4,18,5,8,1,10,2,9,1,18,2,14,7,15,1,8,1,15,2,14,5,3,7,18,2,4,13,19,4,4,1,19,1,4,2,19,3,4,10,18,3,8,4,18,48,10,1,18,1,4,4,19,3,4,71,19,1,3,3,18,2,3,2,17,1,16,3,17,4,16,3,3,1,14,1,8,1,10,8,8,8,18,4,4,3,19,8,4,33,18,1,3,3,18,1,15,1,7,2,14,1,6,2,14,8,18,6,4,1,18,5,15,3,8,3,9,1,8,1,18,2,15,1,18,10,9,2,18,15,8,3,18,4,8,1,10,2,9,1,18,12,8,1,10,5,8,1,18,4,8,1,9,1,8,1,15,1,14,1,15,1,18,1,9,4,18,1,3,1,16,3,18,1,10,2,18,1,3,2,16,5,3,2,4,4,18,3,3,2,16,3,3,1,18,2,3,1,16,5,3,2,18,2,4,3,3,1,16,7,3,1,14,2,3,7,18,1,4,1,19,4,4,220,18,4,8,1,18,2,3,4,18,1,10,2,18,1,3,6,16,2,3,2,18,1,3,1,18,3,3,1,16,132,3,1,18,2,3,2,16,10,3,3,18,1,4,472,},
{4,278,19,5,4,3,19,10,4,17,19,6,4,3,10,3,8,6,18,4,8,1,10,2,18,3,4,4,19,7,4,2,19,6,4,2,19,8,4,18,18,1,4,3,19,2,4,36,19,10,4,2,19,15,4,47,19,8,4,2,10,7,8,1,3,5,16,8,3,3,16,12,3,1,16,7,3,2,16,2,3,3,18,1,4,3,3,1,16,3,3,1,16,2,3,3,16,11,4,4,19,9,4,23,18,2,8,3,9,1,4,7,18,2,3,2,16,8,3,1,9,1,10,1,18,6,8,1,10,4,8,4,10,12,8,1,18,1,8,1,10,1,9,1,18,1,3,1,16,4,3,2,16,6,3,1,18,1,4,3,18,1,10,2,18,1,14,1,15,1,18,1,8,1,9,1,10,3,18,1,3,2,14,1,8,1,10,4,8,1,18,2,8,2,10,160,8,1,10,2,8,7,18,1,14,1,3,2,14,1,18,1,10,6,8,1,15,1,14,2,15,1,18,1,15,1,3,2,14,1,8,3,15,2,8,2,15,3,8,8,9,1,10,3,8,1,15,1,14,3,15,1,8,2,10,2,8,2,15,1,14,2,18,4,8,14,10,84,8,2,10,1,9,1,18,2,4,4,19,5,4,73,19,17,4,3,18,2,10,9,8,4,10,5,8,12,18,1,8,2,9,1,8,6,18,2,8,3,10,3,8,2,18,1,15,1,18,1,8,29,18,15,9,1,18,4,10,2,4,6,19,6,4,2,19,15,4,6,19,10,4,13,19,6,4,3,19,6,4,9,19,4,4,6,19,8,4,9,18,4,9,1,10,2,18,2,8,16,18,6,8,1,10,4,4,99,9,1,10,2,18,3,3,5,14,1,18,3,8,1,10,2,4,4,19,3,4,41,10,3,18,5,8,3,18,2,15,2,8,4,15,10,14,1,15,5,18,1,8,2,18,1,15,1,18,2,8,2,15,6,14,2,15,1,18,3,14,2,18,4,10,2,8,1,18,6,9,2,8,1,18,3,14,6,15,4,14,5,3,1,16,1,3,2,16,1,3,2,18,2,4,10,19,1,4,2,19,4,18,1,3,2,18,1,4,1,19,3,4,9,18,4,8,2,18,9,3,1,18,23,3,1,18,18,4,2,19,5,4,70,19,1,3,3,18,2,3,2,17,1,16,3,17,4,16,3,3,1,14,1,8,1,10,8,8,4,7,1,15,1,8,1,18,5,4,3,19,7,4,34,18,1,3,3,18,1,8,1,7,1,14,11,3,1,14,1,18,4,4,5,18,6,8,2,9,2,18,1,15,4,18,2,9,1,18,5,9,3,18,21,8,4,18,6,3,1,18,6,10,6,8,2,18,6,15,3,18,1,8,4,3,1,16,2,3,1,18,1,9,2,18,3,3,1,16,5,3,1,18,1,4,4,18,2,3,2,16,3,3,2,18,1,3,1,16,6,3,1,18,2,4,3,3,1,16,7,3,1,14,1,18,1,8,1,18,1,3,5,18,1,4,1,19,4,4,221,18,3,10,3,18,2,3,2,18,1,10,2,18,1,3,7,16,1,3,2,18,2,10,2,18,1,3,1,16,130,3,3,18,2,3,1,16,12,3,3,4,472,},
{4,278,19,5,4,3,19,10,4,15,19,10,4,1,10,3,18,2,10,10,18,3,4,4,19,8,4,1,19,17,4,2,19,2,4,4,19,5,4,6,19,5,4,37,19,7,4,4,19,12,4,50,19,9,4,5,10,3,3,1,16,12,3,1,18,1,3,3,16,5,3,2,16,2,3,4,16,3,3,2,18,2,3,2,16,1,3,2,4,4,3,1,16,3,3,4,16,14,4,4,19,8,4,18,19,5,4,1,18,2,8,3,10,1,4,8,18,1,3,2,16,7,3,2,10,3,8,1,18,3,8,1,10,4,8,2,10,2,8,2,10,16,18,1,3,1,16,11,3,3,4,3,18,1,10,2,18,1,14,1,15,1,8,1,9,1,10,4,18,1,3,3,18,1,8,1,10,3,8,1,18,3,8,1,10,109,8,2,10,48,8,2,10,3,8,6,18,1,14,1,3,2,14,1,8,1,10,6,8,1,18,1,15,2,8,2,18,1,3,2,14,1,8,3,15,2,10,2,8,1,15,1,18,1,8,8,9,1,10,2,8,1,18,1,14,3,15,2,8,2,10,3,8,1,15,7,8,2,18,1,8,3,18,6,8,2,10,59,8,3,10,12,8,1,10,6,8,1,10,2,8,2,10,2,18,2,4,4,19,6,4,33,19,2,4,12,19,1,4,1,19,6,4,17,19,17,4,5,10,10,8,2,10,8,8,12,10,2,9,2,8,1,9,2,8,2,18,2,8,1,10,4,8,2,15,3,18,1,8,28,18,7,8,2,18,13,4,6,19,6,4,2,19,16,4,5,19,8,4,9,18,1,4,3,19,8,4,3,19,5,4,9,19,5,4,6,19,8,4,8,18,6,9,2,18,2,8,18,18,5,8,1,10,3,4,99,10,3,8,1,18,2,3,5,14,2,18,2,8,1,9,1,10,1,4,4,19,4,4,41,18,7,8,4,15,3,8,2,15,10,14,4,15,1,14,1,15,2,18,1,8,2,18,1,15,2,18,1,8,3,15,4,14,3,15,1,18,1,15,1,14,1,3,5,14,1,18,1,8,1,18,2,14,3,18,1,8,1,9,1,8,4,18,1,15,2,14,4,15,4,14,5,3,4,16,2,3,1,18,2,4,9,19,1,3,2,4,1,19,3,4,1,18,1,3,2,18,1,4,2,19,3,4,6,18,1,3,3,18,3,15,1,18,8,3,3,18,5,3,1,18,26,8,2,18,7,4,2,19,5,4,70,19,1,3,3,18,2,3,2,16,3,17,2,6,1,17,2,16,4,14,1,8,1,10,8,8,4,15,3,18,5,4,3,19,6,4,35,18,1,3,3,8,2,7,1,14,4,7,3,14,6,18,2,4,8,18,6,9,3,18,2,14,1,15,2,8,4,18,3,8,2,9,2,8,1,15,3,18,27,3,1,18,6,10,8,8,1,18,4,8,2,18,1,15,1,18,4,9,1,18,1,3,3,18,3,3,2,18,1,3,1,16,4,3,3,18,1,4,3,18,1,3,1,16,6,3,1,10,1,18,1,3,1,16,6,3,3,4,2,3,1,16,8,3,1,18,5,3,2,18,1,4,2,19,3,4,214,19,5,4,3,18,3,10,5,18,2,8,1,10,2,18,1,3,7,16,2,3,1,18,2,10,2,18,1,3,1,16,129,3,6,16,12,3,4,4,472,},
{4,278,19,6,4,2,19,9,4,13,19,13,4,2,10,2,4,1,18,1,4,2,10,1,4,1,10,4,4,1,18,2,4,3,19,33,4,4,19,8,4,2,19,6,4,40,19,3,4,5,19,9,4,1,19,1,4,52,19,9,4,6,18,1,3,1,16,11,3,1,18,1,4,1,18,3,3,1,16,2,3,4,16,2,3,1,18,2,3,1,16,2,3,1,18,1,4,3,18,1,3,3,4,4,3,1,16,3,3,4,16,14,3,1,4,4,19,8,4,18,19,5,4,1,18,1,8,4,10,1,4,8,3,3,16,3,3,2,16,2,3,1,18,1,10,2,8,1,18,3,8,1,10,4,8,10,10,13,18,1,3,2,16,10,3,1,16,1,3,1,4,3,18,2,3,3,18,1,9,1,8,1,9,1,10,2,18,1,3,1,16,2,3,1,18,3,8,1,9,1,8,2,18,1,8,2,10,72,8,1,10,36,8,2,10,48,8,2,10,4,8,3,10,1,8,2,14,2,15,1,8,1,10,5,8,6,10,2,8,1,3,2,14,1,8,3,18,2,8,2,18,1,15,2,18,1,8,3,18,1,15,1,8,2,10,3,18,1,14,3,15,1,8,4,10,2,8,2,18,2,15,4,18,1,8,2,18,2,8,2,18,6,8,3,10,6,8,1,10,20,8,2,10,29,8,4,10,11,8,1,10,5,8,2,10,2,8,2,10,2,18,2,4,4,19,6,4,21,19,21,4,4,19,10,4,26,19,7,4,6,10,19,8,11,9,1,10,3,9,3,10,1,9,1,8,1,18,3,10,4,8,2,15,2,18,2,8,36,18,15,4,5,19,6,4,2,19,16,4,5,19,7,4,5,18,7,4,2,19,8,4,3,19,1,4,13,19,4,4,7,19,2,4,1,19,5,4,8,18,6,8,2,18,2,8,20,18,4,10,4,4,98,10,2,18,3,14,1,3,5,14,2,18,2,8,2,9,1,4,5,19,4,4,39,18,8,8,4,15,3,8,1,15,11,14,6,15,2,18,1,8,2,18,3,8,4,15,3,14,3,15,1,8,1,15,1,14,1,3,2,16,1,3,5,18,1,3,3,14,2,18,2,8,1,18,2,8,1,9,1,8,1,18,1,15,2,14,10,15,1,14,3,18,1,3,2,16,1,3,3,4,9,19,1,3,2,4,1,19,3,4,1,18,1,3,3,18,1,4,1,19,4,4,5,3,2,18,4,14,3,18,7,3,4,18,27,14,2,18,1,8,3,18,7,4,1,19,5,4,71,19,1,3,3,18,3,3,1,16,2,17,1,6,2,17,2,16,5,14,1,18,1,10,8,8,1,15,3,14,2,18,6,4,4,19,4,4,35,18,3,3,2,8,2,7,1,14,2,7,5,15,1,14,5,18,2,4,10,18,5,8,1,9,1,18,2,15,2,18,1,8,12,15,3,18,1,8,1,9,5,18,15,9,2,18,3,3,1,18,6,8,1,10,8,18,4,8,3,18,5,9,1,8,1,18,1,14,1,18,4,3,5,16,1,3,2,18,1,3,3,4,3,3,1,16,7,3,1,10,2,3,1,16,9,3,1,18,2,3,1,16,7,3,2,18,4,4,3,19,2,4,216,19,7,4,6,10,9,8,1,18,1,3,2,18,3,3,1,16,2,3,1,18,2,10,1,18,1,3,2,16,129,3,3,16,14,3,5,4,472,},
{4,278,19,16,4,14,19,13,4,18,19,7,4,4,19,24,4,4,19,8,4,2,19,6,4,48,19,6,4,60,19,6,4,7,3,1,16,11,3,1,4,6,3,2,4,2,3,2,16,1,3,1,18,1,4,1,18,1,3,1,16,1,3,1,18,1,4,4,18,1,3,1,19,3,4,2,3,2,16,1,3,2,18,2,3,1,16,14,3,2,4,4,19,8,4,18,19,5,4,1,10,1,8,3,10,2,18,3,4,5,3,1,16,5,3,2,16,2,3,1,18,1,10,1,18,1,3,2,8,1,10,7,8,2,18,5,8,2,10,12,18,2,3,4,16,10,3,1,4,3,18,1,3,1,16,2,3,1,8,1,10,1,18,2,10,2,14,1,3,1,16,2,3,1,18,4,8,1,10,2,8,2,10,72,8,2,10,36,8,2,10,45,8,5,10,4,8,3,10,1,8,2,18,2,8,1,10,6,8,5,10,3,8,1,3,2,14,1,18,1,8,1,10,1,8,2,18,1,15,1,14,3,15,1,8,2,18,1,15,2,8,1,10,4,14,3,8,13,18,1,15,2,18,1,8,2,18,2,8,2,18,2,8,1,18,3,8,4,10,26,8,2,10,6,8,3,10,21,8,4,10,17,8,1,10,5,9,1,18,2,4,4,19,8,4,18,19,22,4,4,19,10,4,28,19,8,4,4,10,1,9,1,10,17,8,10,9,1,10,3,9,3,10,1,9,1,8,1,18,3,8,1,10,2,8,3,18,2,8,37,18,17,4,7,19,3,4,10,19,1,4,4,19,3,4,6,19,6,4,4,18,8,4,2,19,12,4,12,19,5,4,17,18,16,8,20,18,5,10,3,4,92,18,1,3,1,18,1,4,1,18,2,10,2,18,2,3,3,14,5,15,1,18,1,8,2,18,2,4,4,19,12,4,32,18,9,8,3,15,1,14,1,15,1,8,1,15,15,14,2,15,2,18,2,8,1,18,2,8,5,15,2,14,3,15,2,8,1,15,1,3,1,16,4,3,8,14,1,18,4,15,1,18,1,8,1,9,2,8,2,15,2,14,8,15,4,8,1,10,1,18,1,3,5,18,1,4,9,19,2,4,6,3,3,18,1,4,3,19,5,4,2,18,2,4,1,18,3,14,2,3,2,18,6,3,7,18,23,14,1,3,1,14,1,18,1,8,2,18,3,8,2,18,3,4,1,19,5,4,71,19,3,18,4,3,2,17,1,6,1,7,1,6,1,17,1,16,6,3,1,14,1,8,1,10,6,8,1,15,1,14,5,18,3,3,2,18,1,4,4,19,4,4,30,19,2,4,3,18,3,3,1,14,1,8,2,7,4,8,3,7,1,15,1,14,5,18,2,4,11,18,8,15,2,8,9,15,2,18,2,15,3,18,1,9,1,10,7,9,2,18,11,9,2,18,9,8,2,10,4,4,5,18,3,8,3,18,1,15,2,18,2,8,1,18,7,3,2,16,2,3,3,18,1,4,1,18,1,16,1,3,1,4,3,3,1,16,6,3,1,18,1,10,2,3,2,16,8,3,1,18,2,3,2,16,7,3,2,18,2,4,3,19,3,4,1,3,2,4,213,19,9,4,9,10,4,8,1,18,4,9,2,18,1,3,3,18,2,10,1,18,1,3,4,16,127,3,3,16,9,3,2,16,1,3,7,4,472,},
{4,278,19,16,4,14,19,13,4,5,19,5,4,3,19,2,4,2,19,8,4,5,19,23,4,4,19,8,4,2,19,6,4,48,19,5,4,61,19,8,4,1,19,3,4,1,18,1,3,9,18,1,3,1,4,1,19,2,4,2,19,2,18,2,4,2,3,2,16,1,3,1,4,2,18,1,3,2,18,1,4,2,19,2,4,4,19,2,4,2,3,3,18,1,4,2,18,1,3,1,16,13,3,1,18,1,10,1,4,4,19,7,4,19,19,5,4,1,18,1,8,2,10,2,18,5,4,4,3,1,16,5,3,2,16,2,3,2,18,2,3,2,10,6,8,1,18,3,14,4,18,1,8,2,10,12,8,1,18,1,3,1,18,1,3,3,16,9,3,1,18,1,4,2,18,1,16,3,3,1,18,1,8,1,18,2,10,1,18,1,16,4,14,1,18,1,14,1,3,1,14,1,18,1,9,1,10,75,8,2,10,85,8,2,10,9,8,2,18,1,8,1,10,7,8,5,10,3,15,1,3,1,16,1,3,1,15,1,8,1,10,2,8,1,15,1,14,4,15,1,8,2,15,3,8,1,10,3,8,1,14,2,15,1,8,1,10,3,8,2,15,1,18,3,8,3,15,3,18,1,8,2,18,2,8,6,18,2,8,2,18,2,8,1,10,33,8,4,10,21,8,3,10,24,18,1,4,5,19,8,4,18,19,22,4,4,19,10,4,28,19,9,4,3,10,1,8,3,10,16,8,3,18,5,8,2,10,2,9,1,8,3,10,1,9,1,8,1,18,2,8,2,10,1,8,11,18,1,8,31,18,18,4,25,19,2,4,7,19,4,4,4,18,5,9,2,18,2,4,3,19,11,4,12,19,4,4,15,18,11,9,3,18,4,8,23,18,5,10,3,4,66,19,1,4,23,3,1,16,1,3,1,18,1,3,1,18,4,3,4,14,4,15,3,8,1,15,2,18,2,4,3,19,13,4,31,18,9,8,3,15,20,14,1,15,2,18,2,8,8,15,2,14,2,15,2,8,2,14,1,3,1,16,4,3,1,14,2,3,3,14,2,18,5,14,2,18,1,8,1,9,1,8,2,15,4,14,5,15,3,8,1,18,1,8,1,10,2,18,1,3,4,18,1,4,16,18,2,3,2,18,1,4,3,19,6,4,1,19,1,4,3,18,2,14,2,3,3,18,6,3,6,18,6,3,2,18,14,3,4,18,1,8,2,18,3,9,2,18,3,4,1,19,4,4,72,19,3,3,3,18,1,14,3,7,2,6,1,17,1,16,3,17,1,16,2,14,1,15,1,8,1,10,4,8,3,15,1,14,5,18,2,3,3,18,1,4,6,19,2,4,30,19,3,18,5,3,1,14,1,8,2,7,3,8,4,7,1,14,7,18,1,4,13,18,7,8,7,9,1,8,2,15,4,18,2,15,1,18,1,9,1,10,8,9,2,18,9,9,4,18,8,8,1,10,5,4,5,18,5,8,2,18,6,9,1,18,6,3,1,16,2,3,1,18,2,4,3,3,2,4,3,3,1,16,6,3,1,18,5,3,1,16,7,3,14,18,2,4,3,19,3,18,1,3,2,18,1,4,212,19,10,4,8,10,5,18,3,9,1,10,3,3,3,18,5,3,4,16,127,3,2,16,6,3,13,19,1,4,471,},
{4,280,19,14,4,14,19,12,4,6,19,5,4,4,19,11,4,5,19,5,4,2,19,16,4,6,19,6,4,2,19,6,4,114,19,13,4,5,19,2,3,2,4,1,19,4,4,3,19,3,4,2,3,4,18,1,4,2,3,3,4,2,19,9,4,4,19,2,4,1,18,1,3,1,16,12,3,2,18,1,10,1,18,1,4,2,19,6,4,22,19,6,4,1,9,1,10,1,18,3,3,4,4,3,18,1,3,1,16,4,3,1,18,2,3,1,16,1,3,3,18,1,14,1,18,1,10,5,8,1,18,1,3,5,14,2,18,2,10,14,9,1,18,4,3,1,16,10,3,4,16,3,3,2,14,1,18,1,9,1,10,1,3,1,16,3,3,1,18,1,8,1,14,1,3,2,18,1,8,1,10,3,8,2,10,70,8,1,10,97,8,1,18,2,8,1,10,8,8,2,18,1,8,1,10,2,8,1,14,1,3,3,14,1,8,1,10,3,8,1,15,2,18,1,8,4,15,2,14,1,15,1,8,3,15,1,14,2,8,1,10,3,8,2,15,14,18,3,8,5,18,1,8,3,15,1,14,2,18,1,8,1,10,30,8,5,10,22,8,2,10,24,4,6,19,8,4,18,19,19,4,7,19,8,4,32,19,8,4,2,10,1,9,2,10,16,8,4,18,1,15,3,18,2,8,2,10,1,8,42,18,3,8,9,18,25,4,6,18,6,4,4,18,2,4,6,18,1,4,9,18,6,8,1,9,2,18,3,4,3,19,10,4,24,18,18,8,1,9,2,8,1,18,2,8,25,18,4,10,2,8,1,4,90,3,1,16,1,3,2,18,4,14,1,3,3,14,3,15,8,18,3,4,6,19,10,4,30,18,3,8,3,18,1,14,1,15,2,8,2,15,5,14,2,15,9,18,2,15,2,14,1,15,2,18,2,8,7,18,1,15,5,8,2,15,1,14,1,3,1,16,3,3,1,14,1,15,1,14,1,3,2,14,1,18,3,8,2,18,1,14,3,15,1,8,1,15,17,18,1,10,3,18,4,4,4,19,2,4,10,18,3,3,1,18,2,4,2,19,7,4,1,18,1,4,4,18,3,3,3,18,3,3,1,18,3,3,5,18,1,9,1,18,2,3,5,18,13,3,4,18,6,8,1,9,1,18,3,4,77,19,3,3,3,18,3,14,2,6,2,16,3,17,1,14,3,15,1,8,1,10,4,8,6,14,4,18,2,3,3,18,1,4,6,19,1,4,31,19,1,3,4,18,3,3,1,18,1,8,2,7,3,8,3,15,1,14,8,18,1,4,13,18,6,8,7,10,3,8,1,18,1,15,2,18,3,15,2,18,1,9,1,10,7,9,1,18,5,8,3,18,2,9,6,18,6,9,1,10,5,4,5,18,6,8,1,18,10,9,1,10,2,18,1,16,2,3,1,18,1,4,3,18,1,3,1,18,1,4,3,18,1,3,1,16,4,3,1,18,2,3,2,10,2,18,1,3,1,16,7,3,6,18,1,9,1,18,1,3,3,18,4,4,3,19,2,4,1,3,2,4,215,19,10,4,8,10,3,9,1,18,2,9,1,10,1,9,1,10,2,18,1,3,1,18,2,4,2,18,1,3,5,16,134,3,5,16,1,3,2,18,1,3,7,18,1,4,468,},
{4,280,19,14,4,17,19,1,4,14,19,19,4,9,19,1,4,4,19,1,4,9,19,4,4,8,19,4,4,4,19,4,4,116,19,13,4,3,19,3,4,2,19,6,4,2,19,4,4,1,19,2,4,5,3,2,4,2,19,10,4,4,19,2,4,1,3,2,16,11,3,1,18,2,4,1,18,1,4,3,19,6,4,22,19,5,4,1,18,1,10,1,18,1,3,4,16,2,3,1,4,3,18,1,3,6,18,2,3,5,18,1,8,1,10,5,8,1,18,1,3,5,18,5,10,16,9,1,18,1,3,2,16,15,3,6,18,1,14,1,16,4,3,1,8,1,10,1,18,1,3,2,14,1,18,1,8,2,10,1,8,1,10,109,18,1,10,30,8,1,10,28,8,1,18,3,8,1,10,7,8,1,18,1,14,1,18,1,10,2,18,1,14,1,3,3,15,1,8,1,10,2,9,1,15,1,14,1,15,1,8,5,15,4,8,3,15,3,8,1,10,2,8,2,18,1,15,2,14,4,15,2,14,2,15,2,14,2,15,1,18,1,15,1,18,1,8,7,18,1,14,3,18,2,8,1,10,29,8,5,10,48,4,6,19,8,4,18,19,11,4,16,19,2,4,37,19,8,4,2,10,12,8,10,18,1,15,1,14,2,15,1,18,2,8,4,18,3,8,49,18,46,4,2,18,7,4,2,18,5,8,1,9,1,10,1,9,1,10,2,9,1,18,4,4,2,19,11,4,15,18,2,4,6,18,3,9,1,18,5,8,4,18,5,8,29,10,1,8,1,18,4,10,2,9,1,10,1,4,89,3,4,18,4,14,1,3,2,14,3,15,10,18,2,4,7,19,9,4,29,18,4,8,3,18,1,14,1,15,2,8,2,15,5,14,2,15,8,8,3,15,6,18,1,8,7,15,6,8,2,15,1,14,1,3,1,16,2,3,1,14,1,15,1,18,2,3,2,18,4,8,2,18,1,15,18,14,4,18,3,10,2,4,6,19,1,3,2,19,1,4,9,3,3,18,4,4,1,19,7,4,6,18,4,3,2,18,2,3,2,18,5,3,3,18,1,10,1,18,2,3,6,18,12,3,4,18,10,3,1,18,1,4,77,19,1,3,5,18,1,10,1,8,1,14,1,17,2,16,3,6,1,7,1,14,2,15,1,8,1,10,3,8,5,10,1,8,1,18,1,14,1,3,2,18,2,3,3,18,1,4,38,19,1,3,4,18,1,3,1,18,3,8,2,7,2,8,3,15,1,7,1,14,8,3,1,18,1,4,14,18,4,8,1,10,2,8,3,10,3,8,3,18,3,8,1,18,1,15,1,14,1,15,1,18,1,9,2,10,3,9,2,18,5,8,4,9,4,18,2,10,3,18,6,10,4,4,7,18,17,10,2,18,1,3,3,4,4,18,1,4,6,18,1,3,1,16,2,3,1,18,1,9,1,18,1,3,2,10,2,18,1,3,1,16,6,3,6,18,1,10,1,18,2,3,3,18,6,4,1,19,2,4,223,19,8,4,8,10,1,18,3,10,1,4,1,18,1,10,1,18,3,4,4,3,4,16,99,3,4,16,33,3,2,16,3,3,5,16,5,3,1,4,468,},
{4,280,19,14,4,32,19,14,4,170,19,37,4,5,19,16,4,2,18,1,3,1,16,11,3,1,4,6,19,12,4,18,19,5,4,2,18,2,3,1,18,1,3,1,16,3,3,1,18,1,10,2,18,1,3,2,10,3,18,1,3,2,18,5,10,3,8,1,18,3,3,6,18,1,8,1,10,1,8,1,18,2,10,17,18,1,3,1,16,16,3,4,16,2,3,2,16,3,3,1,18,1,10,2,18,1,14,2,18,2,8,2,10,111,18,1,10,59,8,1,18,3,8,1,10,7,18,1,14,3,8,2,18,1,14,4,18,1,8,1,10,2,8,1,14,1,3,1,14,1,15,1,18,1,8,3,18,2,8,8,10,1,8,2,15,2,18,1,8,2,15,2,14,2,15,2,14,6,15,3,18,1,8,6,18,2,14,2,18,3,8,2,10,29,8,4,10,48,4,6,19,8,4,3,19,4,4,10,19,11,4,54,19,10,4,2,10,7,8,15,18,1,15,1,14,2,18,1,8,1,18,1,8,4,18,3,8,48,18,6,8,2,18,55,9,2,10,5,18,4,4,2,19,11,4,21,10,2,18,2,9,3,18,4,8,1,10,1,9,1,8,2,18,5,8,24,18,1,8,3,10,1,8,1,18,2,3,1,18,2,10,3,18,2,4,88,3,3,18,4,14,5,15,10,18,4,4,5,19,11,4,3,19,3,4,19,10,2,4,1,18,5,8,1,18,2,15,3,8,2,15,15,8,3,18,1,15,4,18,1,8,7,18,1,15,6,8,2,15,1,14,1,3,3,14,1,15,1,18,2,15,1,14,2,18,2,15,1,18,1,8,2,18,1,15,18,14,4,3,3,10,2,4,6,3,3,19,1,4,8,18,1,3,3,18,2,3,1,18,1,4,2,19,6,4,5,18,7,9,1,18,1,3,2,18,1,9,2,18,2,3,1,16,1,3,1,18,1,9,1,18,3,3,4,18,14,3,3,18,2,9,2,18,6,3,1,18,1,4,77,19,1,3,5,8,1,10,2,14,1,16,1,17,1,16,3,6,1,7,1,14,2,15,1,8,9,10,1,8,2,18,1,14,1,3,3,18,3,4,39,19,1,3,4,18,5,15,2,7,2,8,3,7,1,14,6,7,1,14,2,3,1,18,2,4,16,10,2,8,1,10,5,8,9,18,1,15,1,14,2,15,1,18,3,9,2,18,5,3,1,18,2,9,6,18,1,4,16,19,3,4,5,18,3,4,4,18,6,4,3,18,2,3,2,18,1,4,3,18,2,4,7,18,1,3,2,9,1,10,1,18,1,3,3,9,1,18,1,3,1,16,6,3,3,16,2,3,1,18,3,3,2,16,1,3,3,18,4,3,1,4,1,19,2,4,224,19,8,4,14,10,2,18,3,4,3,3,4,16,99,3,1,4,2,3,1,16,33,3,1,16,4,3,4,16,6,3,1,18,1,4,467,},
{4,280,19,14,4,32,19,14,4,119,19,5,4,46,19,28,4,2,19,8,4,3,19,17,4,2,18,1,3,1,16,10,3,1,18,1,4,6,19,12,4,18,19,5,4,1,18,5,3,1,16,4,18,1,10,2,18,3,10,4,18,2,10,2,8,2,10,4,8,1,3,3,16,2,3,2,18,1,8,1,10,4,8,2,10,11,8,1,18,2,10,3,18,1,3,1,16,16,3,1,18,1,3,1,16,6,3,1,14,1,18,1,10,3,8,2,18,1,8,2,10,7,8,1,10,165,8,1,18,3,8,1,10,6,8,1,18,1,14,3,8,2,18,1,15,1,18,1,8,6,18,1,14,1,3,1,14,2,15,1,18,2,8,8,10,4,8,1,15,1,14,1,15,1,18,1,8,3,15,6,14,1,15,1,14,3,15,1,8,1,18,1,8,8,18,2,8,9,10,26,8,3,10,39,8,5,10,5,4,6,19,4,4,6,19,6,4,8,19,12,4,51,19,12,4,3,10,6,8,15,18,1,15,2,14,1,15,1,8,7,18,3,8,2,18,2,8,41,18,6,8,1,18,1,8,4,18,16,8,1,18,15,9,1,18,4,8,1,18,17,8,1,9,1,10,4,9,1,18,3,4,3,19,2,4,1,19,8,4,20,10,1,8,1,18,2,9,3,18,3,8,4,10,1,8,2,18,5,8,2,10,2,8,19,18,1,8,3,10,1,8,1,18,1,3,3,18,9,10,1,18,1,4,2,18,4,4,77,18,10,15,11,8,1,18,4,4,6,19,1,4,2,19,14,4,16,10,2,8,1,10,2,18,7,15,19,18,3,8,1,18,2,15,4,18,1,8,7,18,1,15,2,8,1,15,6,14,1,3,2,14,1,15,1,18,1,8,1,18,1,15,2,18,4,15,1,8,2,18,2,8,2,15,2,14,3,15,4,14,3,15,2,14,4,18,1,3,3,18,1,10,1,4,6,19,1,3,2,19,1,4,8,18,1,3,3,18,2,3,1,18,1,4,4,19,1,4,8,18,7,9,1,18,1,3,2,18,2,9,1,18,2,3,1,16,2,3,1,18,5,3,2,18,16,14,2,18,2,9,2,8,1,18,3,8,1,18,3,4,77,19,1,3,5,18,1,10,2,14,1,17,3,16,2,14,5,15,2,8,5,10,3,8,2,18,1,3,3,18,3,4,41,3,4,18,4,8,1,15,3,8,3,7,1,14,5,7,3,14,2,3,2,18,1,4,16,10,3,8,5,18,3,8,1,10,2,8,3,18,3,15,1,18,14,8,1,9,2,10,2,9,1,18,1,4,14,19,6,4,20,18,1,3,3,18,1,4,3,18,1,4,9,18,2,10,2,18,1,3,2,18,1,9,1,18,1,3,1,16,6,3,1,18,1,3,1,16,2,3,1,18,2,3,2,16,1,3,4,18,1,4,2,18,1,3,1,4,1,19,3,4,223,19,8,4,2,19,7,4,1,19,1,4,4,10,1,18,3,4,3,18,1,3,3,16,97,3,2,4,3,3,1,16,39,3,2,16,7,3,2,4,467,},
{4,280,19,14,4,34,19,8,4,122,19,16,4,37,19,27,4,4,19,6,4,3,19,17,4,3,3,2,16,8,3,2,4,7,19,12,4,18,19,5,4,2,10,4,8,1,3,1,16,3,3,1,9,1,18,6,10,4,9,1,18,4,10,4,18,1,3,1,16,3,3,1,10,19,18,2,3,2,18,2,10,1,18,1,3,1,16,15,3,1,18,2,3,2,16,5,3,1,8,1,10,158,8,4,10,20,8,4,10,7,8,2,15,1,14,1,15,1,8,2,18,2,8,1,10,2,8,4,18,1,14,4,15,1,18,1,15,1,18,1,8,3,18,1,15,2,8,1,10,4,8,1,15,1,14,2,18,1,8,3,15,11,8,5,9,1,8,2,10,1,8,4,10,4,8,6,10,25,8,3,10,19,8,2,10,17,8,7,10,4,4,17,19,5,4,8,19,13,4,49,19,8,4,8,10,6,8,2,18,2,8,11,18,2,15,2,18,1,8,1,10,1,8,6,18,1,8,3,18,2,8,43,18,2,8,9,18,15,8,10,18,5,8,2,9,1,10,4,8,2,18,4,8,8,18,5,8,1,10,3,8,1,18,3,4,6,19,10,4,9,19,1,4,2,19,2,4,4,18,4,8,1,10,1,8,1,18,4,8,8,18,3,8,29,18,1,3,3,18,3,3,3,18,11,4,77,10,1,18,7,8,5,15,6,7,1,15,1,8,1,18,5,4,8,19,4,4,4,19,6,4,16,10,4,8,1,18,6,15,7,7,1,15,12,18,5,15,5,18,1,8,8,18,1,15,1,8,1,15,1,14,2,15,3,14,1,3,1,14,2,15,1,18,2,14,2,15,10,8,2,15,2,14,3,15,4,14,9,18,2,3,2,18,1,4,15,19,3,4,2,18,10,4,3,18,1,3,3,4,3,18,7,9,1,18,1,3,2,18,5,3,4,18,33,9,1,18,3,4,8,19,4,4,65,19,1,3,5,18,1,10,1,8,1,14,4,17,1,14,7,15,1,8,2,10,6,8,1,18,2,3,3,18,2,4,42,3,4,18,3,8,2,15,3,8,1,15,2,14,4,7,5,14,3,3,1,18,1,4,16,10,3,18,9,10,2,8,1,18,20,8,2,9,1,10,2,9,1,18,1,4,15,19,7,4,3,19,5,4,9,18,2,3,6,18,1,4,10,18,2,10,1,9,1,14,1,3,1,18,1,9,1,10,1,18,1,3,1,16,6,3,1,18,1,3,1,16,2,3,1,18,3,3,6,18,1,4,232,19,18,4,5,18,3,4,4,18,1,3,1,16,98,3,1,4,3,18,1,16,49,3,1,18,1,4,467,},
{4,280,19,14,4,164,19,16,4,40,19,11,4,1,19,2,4,1,19,1,4,1,19,6,4,6,19,4,4,4,19,16,4,5,3,2,16,6,3,1,18,1,4,8,19,12,4,18,19,5,4,1,10,1,18,1,10,2,18,1,10,1,18,1,3,1,16,2,3,4,18,1,3,4,18,1,10,2,3,6,18,1,10,2,8,1,3,1,16,2,3,1,18,1,10,19,18,2,3,1,18,3,9,1,18,1,3,1,16,14,3,5,16,5,3,1,18,1,10,158,8,5,10,17,8,1,10,2,8,3,10,8,8,3,18,2,8,2,18,2,8,1,10,2,8,1,18,1,15,1,8,2,15,1,14,3,15,4,8,3,15,1,14,2,8,1,10,1,8,2,10,1,8,1,15,1,14,2,15,1,8,3,15,5,8,2,15,2,18,1,8,3,9,2,8,8,10,4,8,4,18,2,8,1,10,25,8,3,10,18,8,3,10,15,8,6,10,1,8,1,10,5,4,17,19,5,4,8,19,14,4,48,19,8,4,8,10,5,9,1,8,3,18,2,8,6,18,1,8,1,18,3,8,4,10,2,8,10,18,1,15,1,8,14,18,1,8,41,18,5,8,5,18,2,8,12,18,3,8,3,10,5,8,3,18,1,8,2,10,3,8,6,18,1,15,2,8,2,10,3,8,3,18,2,4,6,19,2,4,2,19,5,4,8,19,6,4,3,18,4,8,5,18,2,8,10,18,2,8,27,10,1,8,2,18,1,14,3,18,2,3,3,18,12,4,75,10,2,18,6,8,6,15,3,7,1,15,1,7,2,15,1,8,2,18,9,4,5,19,2,3,2,18,1,4,1,19,6,4,16,10,4,18,6,15,7,7,2,15,11,18,6,15,3,18,2,8,3,18,4,8,2,18,1,8,3,14,2,15,3,14,1,3,1,14,2,15,1,18,1,15,1,14,2,15,2,14,2,15,2,14,3,15,4,14,4,15,3,14,10,18,2,3,2,18,2,4,13,19,5,4,2,18,7,3,3,18,2,3,1,16,1,3,2,18,8,9,2,18,8,3,5,18,33,8,1,18,4,4,7,19,5,4,65,19,2,4,1,18,1,3,3,18,2,15,1,14,9,15,2,18,1,8,1,10,6,18,2,3,3,18,1,4,44,3,4,18,4,15,3,8,2,15,1,14,4,15,1,7,3,14,5,18,2,4,16,10,2,18,2,3,7,18,1,10,2,18,4,10,2,9,1,18,12,9,1,18,2,8,1,9,1,10,3,18,1,4,14,19,8,4,2,19,10,4,5,18,2,3,6,18,1,4,6,18,2,4,1,18,2,8,2,18,1,14,2,18,1,10,2,18,1,3,1,16,6,3,3,16,2,3,1,18,2,9,1,10,1,18,5,4,235,19,18,4,1,19,1,4,1,18,3,4,4,18,1,3,1,16,97,3,1,18,1,4,2,18,1,3,1,16,48,3,2,18,1,4,467,},
{4,280,19,14,4,164,19,16,4,3,19,4,4,91,18,1,3,2,16,4,3,1,4,6,19,2,4,8,19,6,4,17,19,6,4,2,8,1,10,2,18,1,10,2,18,1,3,8,16,2,3,2,10,1,18,1,3,1,16,5,3,1,18,1,10,2,8,1,18,1,3,1,18,1,10,9,8,1,10,11,18,3,10,3,18,1,3,1,16,14,3,3,16,6,3,1,18,1,9,2,18,1,8,1,9,1,10,47,8,1,10,95,8,4,10,7,8,4,10,17,8,7,10,3,8,2,10,2,8,2,10,2,8,4,14,2,15,1,8,2,18,1,14,2,8,3,15,1,14,3,15,3,8,3,15,1,3,1,14,1,8,1,10,1,15,2,9,1,10,1,15,1,14,3,15,2,14,2,15,4,8,2,15,2,8,4,10,1,8,2,18,2,8,5,10,3,8,1,15,1,14,1,18,1,8,1,18,3,8,3,10,2,8,2,10,18,8,4,10,35,8,5,10,8,4,17,19,5,4,8,19,14,4,48,19,7,4,5,18,5,8,1,9,4,8,5,18,1,8,5,18,5,8,3,10,2,8,2,15,4,8,5,18,2,8,10,10,1,8,2,18,3,8,3,18,1,8,11,18,3,15,2,18,1,8,20,18,3,8,12,18,4,8,5,18,1,8,1,18,2,8,2,10,2,8,2,18,3,8,3,10,3,8,1,18,1,8,8,10,3,9,1,8,3,18,5,4,8,19,4,4,7,19,5,4,4,18,3,8,1,10,2,8,2,10,2,8,2,10,3,8,7,18,1,8,27,10,3,8,1,18,6,3,2,18,6,3,1,18,6,4,74,10,1,18,4,8,2,18,2,8,3,15,5,8,1,15,2,7,1,14,2,15,1,8,1,18,5,3,1,18,4,4,3,18,1,3,2,16,1,3,1,4,2,19,6,4,7,10,2,4,7,10,3,18,5,8,6,15,3,7,1,15,12,18,4,15,5,18,2,8,3,18,1,15,1,18,2,8,6,14,2,15,1,8,1,15,1,14,1,3,2,14,1,15,3,14,6,15,2,14,12,15,3,14,10,18,4,4,14,19,6,4,2,18,5,14,1,3,2,18,3,3,4,18,3,3,1,18,4,9,1,18,9,3,3,18,28,14,1,3,2,14,1,15,1,18,11,4,3,19,5,4,69,18,1,3,3,18,1,8,1,14,7,15,4,18,1,8,3,10,2,8,2,18,1,3,3,18,1,4,45,3,3,18,2,8,2,18,1,14,2,15,1,8,2,15,1,14,4,15,1,7,2,6,1,17,4,14,1,18,1,4,17,10,2,18,1,3,8,18,1,4,2,18,2,4,2,10,2,9,3,18,1,9,3,18,8,8,2,9,1,10,2,9,1,18,1,4,13,19,9,4,2,19,14,4,1,18,1,4,1,18,1,3,2,16,1,3,1,18,1,4,1,10,5,18,1,3,2,18,2,9,2,18,4,8,1,9,2,18,1,14,1,16,7,3,4,18,1,10,1,18,2,10,2,4,3,19,4,4,235,19,17,4,1,18,3,4,1,10,3,18,1,3,2,16,9,3,4,16,83,3,1,9,1,10,1,18,2,3,1,16,3,3,3,16,41,3,2,18,2,4,467,},
{4,280,19,14,4,129,19,7,4,13,19,4,4,3,19,3,4,5,19,16,4,2,19,6,4,92,18,1,3,4,4,7,19,4,4,6,19,5,4,17,19,7,4,1,10,1,8,1,10,2,9,1,10,3,3,2,16,9,3,1,18,2,16,7,18,1,10,5,8,5,10,5,8,2,10,11,9,1,10,3,9,1,3,1,16,23,3,2,18,5,8,1,10,4,8,8,10,34,8,2,10,95,8,5,10,6,8,1,10,20,8,4,18,1,8,1,10,4,8,5,10,5,8,1,18,1,15,1,14,2,15,2,14,1,3,1,14,1,8,1,10,1,8,1,15,1,14,2,15,1,14,2,15,1,8,3,14,1,3,1,14,1,8,2,15,2,8,1,10,1,8,1,15,1,14,9,15,2,8,1,15,2,8,2,18,2,8,2,14,2,15,1,18,3,8,5,15,1,14,2,15,1,18,5,15,1,18,2,8,3,10,18,8,4,10,33,8,1,10,1,8,4,10,9,4,17,19,5,4,8,19,14,4,4,19,3,4,53,18,1,9,2,8,1,18,1,8,7,9,1,8,8,18,2,8,9,15,5,8,6,18,1,8,2,18,2,8,10,18,1,8,4,18,2,8,9,18,4,15,3,18,1,8,7,18,4,8,14,10,3,8,6,18,4,8,7,18,3,8,5,18,3,8,2,10,4,8,1,18,2,8,8,10,1,8,5,18,6,4,7,19,4,4,6,19,6,4,3,18,4,8,1,10,3,8,1,10,7,8,16,18,5,8,14,10,2,8,5,18,1,8,1,18,4,8,2,18,6,8,2,18,2,4,73,10,2,18,4,8,3,18,1,8,1,15,7,8,2,15,2,14,2,15,1,8,4,18,2,14,1,18,4,4,2,18,1,3,1,16,3,3,1,4,3,19,5,4,6,10,10,18,8,8,6,15,3,7,1,15,12,18,5,15,4,18,3,8,2,18,4,8,6,14,2,15,3,14,1,3,2,14,1,15,6,14,3,15,1,14,2,3,1,14,10,15,1,14,10,3,2,18,3,4,15,19,6,4,1,18,7,14,1,18,2,10,1,18,1,3,3,18,19,3,2,18,5,3,1,18,16,3,2,18,5,14,1,3,3,14,1,15,1,18,11,4,3,19,4,4,69,18,1,3,3,18,1,8,1,15,1,14,1,15,2,14,3,15,3,18,9,3,3,18,1,4,46,3,3,18,1,8,1,18,2,15,3,8,2,15,2,14,5,7,2,17,1,16,3,17,1,14,1,18,1,4,19,18,1,3,7,18,1,4,8,10,2,9,8,18,2,9,4,8,1,18,1,8,1,10,4,4,12,19,10,4,3,19,13,4,1,18,1,4,1,18,2,3,2,18,1,4,2,10,4,18,2,3,2,14,1,18,6,8,1,9,2,18,3,3,1,16,2,3,2,16,3,3,2,18,1,10,2,18,2,10,2,4,3,19,5,4,234,19,17,4,2,18,2,10,4,18,2,3,2,16,6,3,2,18,1,10,2,18,1,3,1,16,81,3,1,18,1,10,2,18,1,3,2,16,4,3,6,16,37,3,2,18,2,4,467,},
{4,280,19,4,4,2,19,11,4,125,19,18,4,2,19,15,4,5,19,12,4,3,19,5,4,94,19,1,4,9,19,6,4,2,19,6,4,18,19,7,4,2,10,2,18,3,10,2,18,1,3,1,16,10,18,2,3,1,16,5,3,1,18,1,10,5,8,1,3,2,18,2,10,18,8,1,9,1,10,1,9,1,18,1,3,1,16,2,3,5,16,16,3,5,18,1,8,1,10,5,8,2,18,2,8,3,10,34,8,3,10,84,8,2,10,10,8,4,10,24,8,5,18,3,8,1,10,5,8,3,10,6,8,1,18,1,8,1,18,1,15,1,14,3,3,1,14,1,8,2,18,1,14,1,15,2,18,1,14,3,15,1,8,1,15,1,14,2,15,1,8,2,15,2,8,3,15,1,14,3,15,2,14,2,3,1,14,2,15,1,18,1,15,4,14,2,15,1,14,3,15,1,8,1,15,2,18,1,8,4,18,1,15,1,14,1,15,1,18,4,15,1,14,3,18,1,8,1,10,19,8,4,10,16,8,2,10,13,8,4,9,1,8,3,10,9,4,30,19,6,4,4,19,13,4,26,19,5,4,20,10,4,8,8,18,1,8,1,9,3,18,5,8,5,18,1,15,2,18,1,8,1,15,3,18,1,8,10,18,2,8,12,10,1,8,2,18,2,8,9,18,2,8,2,18,1,15,2,18,1,8,8,18,2,15,1,18,1,8,2,10,1,8,4,10,4,8,1,10,4,8,1,18,2,8,3,18,4,8,8,18,3,8,6,18,1,8,2,10,3,8,19,18,11,4,1,19,5,4,5,19,5,4,4,18,2,8,5,10,9,8,9,18,3,8,5,18,4,8,12,10,1,8,6,10,1,8,10,18,6,8,1,18,4,4,72,10,2,8,1,18,3,8,3,15,7,8,3,15,5,18,2,8,2,18,3,8,1,10,3,18,2,3,2,16,3,3,1,4,14,10,2,18,3,10,4,18,10,15,1,8,2,15,6,8,1,15,4,18,4,15,3,18,12,8,5,18,1,8,5,15,1,14,2,15,2,14,2,3,1,14,2,15,3,8,2,15,2,14,5,3,1,14,5,3,1,14,2,15,2,14,11,3,2,18,2,4,16,19,5,4,2,18,1,3,1,18,7,8,1,10,2,18,22,3,3,18,3,3,2,18,16,3,3,18,5,14,6,18,10,4,5,19,3,4,69,3,4,18,4,14,4,18,1,14,1,3,5,18,7,4,47,18,1,3,3,18,1,10,1,18,1,14,1,15,1,8,4,15,2,14,5,7,2,14,1,17,1,16,1,17,1,14,2,3,1,18,1,4,19,19,1,3,5,18,1,4,12,10,1,9,1,18,3,9,5,10,3,9,1,18,2,9,1,10,3,4,12,19,10,4,3,19,13,4,2,18,2,4,6,10,3,9,1,18,4,15,1,14,4,15,1,18,2,8,1,9,1,10,1,18,1,3,2,16,1,3,1,18,1,3,1,16,4,3,1,9,2,18,5,4,3,19,7,4,232,19,17,4,2,10,1,18,9,3,1,16,3,3,3,18,1,4,3,10,1,18,1,3,1,16,81,3,1,10,1,9,1,18,2,3,2,16,3,3,1,18,1,10,1,9,1,3,2,16,38,3,3,4,467,},
{4,286,19,12,4,124,19,17,4,3,19,15,4,20,19,5,4,91,19,5,4,8,19,14,4,18,19,7,4,1,18,1,9,1,8,1,9,1,18,2,10,3,3,1,16,10,18,1,10,1,18,1,3,1,16,2,3,2,18,2,10,5,3,1,16,2,3,1,18,1,8,1,10,17,8,1,18,3,3,2,16,2,3,1,18,2,3,2,16,20,3,1,18,1,10,5,8,2,18,3,8,3,10,34,8,2,10,85,8,2,10,38,8,3,10,2,8,4,10,5,8,3,10,6,8,2,10,2,8,1,18,2,14,3,8,2,15,1,14,1,15,1,8,2,15,1,14,6,15,1,8,1,10,2,8,6,14,4,15,2,14,1,3,1,14,2,15,4,14,4,15,1,14,3,15,2,14,2,15,1,18,1,8,3,18,1,15,2,14,1,15,2,18,2,15,1,14,2,15,1,18,1,8,1,10,20,8,2,10,32,8,4,9,1,10,2,9,1,10,9,4,43,19,11,4,24,19,6,4,10,18,10,8,1,10,4,8,3,18,5,8,1,9,3,18,4,8,6,15,2,14,1,15,1,18,2,8,25,10,3,8,4,18,3,8,12,18,1,8,10,18,1,15,2,8,2,10,1,8,4,10,9,8,1,18,3,8,14,18,4,8,8,10,2,8,20,18,11,4,1,19,6,4,4,19,6,4,3,18,2,8,5,10,6,8,2,10,1,8,9,18,4,8,4,18,4,8,15,15,3,8,1,10,3,8,2,10,2,8,12,18,6,4,69,18,1,10,2,8,1,18,4,8,1,15,6,8,3,15,4,8,1,18,3,8,6,10,2,8,1,18,1,3,2,16,3,3,1,18,1,4,14,10,8,8,1,18,3,8,2,18,4,15,10,8,2,15,2,18,2,8,2,18,2,15,2,18,12,8,5,18,3,8,1,18,1,15,1,14,3,15,2,14,1,3,2,14,1,15,1,8,1,15,3,8,1,15,3,14,1,15,1,14,1,3,2,14,8,15,2,14,12,3,1,18,2,4,17,19,4,4,1,18,1,3,2,18,6,8,2,10,2,18,2,10,2,18,1,3,1,18,16,3,7,18,17,3,3,14,1,18,6,15,1,14,3,18,11,4,5,19,2,4,69,18,1,3,4,18,1,8,1,18,1,3,3,14,1,18,1,3,6,18,6,4,48,3,4,18,1,10,1,15,1,14,1,15,1,8,3,15,4,14,2,3,1,14,2,7,1,14,1,17,3,7,1,14,2,18,1,4,20,19,2,3,2,19,1,4,13,10,1,9,1,18,3,8,2,9,3,10,3,9,1,18,2,9,1,10,3,4,12,19,9,4,10,19,7,4,2,18,1,4,7,10,3,18,1,14,1,3,1,18,3,14,1,3,3,14,1,15,1,18,1,8,1,10,2,18,1,3,3,18,1,10,1,18,1,16,4,3,1,18,7,4,3,19,7,4,248,19,1,4,1,18,1,4,1,10,1,18,7,10,1,3,1,16,3,3,1,18,1,4,5,10,1,9,1,18,1,3,1,16,75,3,3,16,1,3,1,18,1,10,1,9,1,18,4,3,1,16,2,3,2,9,2,18,1,3,2,16,1,3,1,16,36,3,1,18,1,4,467,},
{4,286,19,12,4,128,19,14,4,4,19,13,4,4,10,9,4,6,19,6,4,90,19,6,4,5,19,17,4,18,19,7,4,1,18,3,10,4,18,1,10,1,18,1,16,9,3,1,18,1,10,2,18,1,3,3,18,1,10,1,8,1,18,2,10,2,18,1,16,3,3,2,18,4,8,1,10,12,8,1,18,2,3,3,16,1,3,5,16,21,3,1,18,1,10,5,8,2,18,1,8,4,10,3,8,3,10,176,8,1,10,7,8,4,18,2,8,2,15,1,14,1,18,1,8,2,18,1,14,5,18,1,8,1,10,5,8,5,14,7,15,4,14,3,15,3,8,1,15,1,14,4,3,2,14,1,15,1,18,1,8,3,18,1,15,1,14,3,15,4,18,1,8,1,10,5,8,1,10,50,8,3,9,1,10,1,9,2,10,30,4,11,10,5,18,3,10,2,4,3,19,11,4,20,19,8,4,5,10,15,8,4,10,4,8,1,18,4,8,1,9,7,8,7,18,4,8,15,10,2,8,18,18,7,8,14,18,2,8,3,18,1,15,1,18,1,8,3,18,1,8,2,10,5,8,3,18,5,8,1,9,3,10,2,9,1,8,8,18,2,8,30,18,12,4,1,19,5,4,1,19,10,4,3,18,4,8,3,10,2,8,2,10,3,8,1,10,1,8,9,18,3,8,6,18,3,8,14,15,1,14,3,8,14,18,1,8,6,18,5,4,68,18,2,10,2,18,3,14,1,18,1,8,1,15,2,8,7,15,1,14,2,15,2,18,2,8,4,18,1,8,5,18,1,3,6,18,1,10,1,4,13,10,7,18,4,8,4,18,1,8,5,15,5,7,1,15,1,8,2,15,1,18,2,8,4,18,15,8,4,18,6,15,1,14,3,15,2,14,4,15,1,8,1,15,1,14,2,15,2,8,1,15,3,14,1,3,2,14,22,3,1,18,2,4,17,19,4,4,1,18,8,8,1,18,1,8,1,10,1,8,1,18,2,10,1,9,1,18,1,3,1,18,7,9,1,18,8,3,5,18,3,3,3,18,41,4,74,18,1,3,3,18,3,14,1,3,2,14,2,18,1,3,3,18,4,10,1,4,50,19,1,3,4,8,1,10,1,18,1,14,2,15,1,8,2,15,5,14,2,17,3,16,2,17,1,6,1,7,2,14,1,18,2,4,37,10,2,8,1,18,2,8,6,10,2,9,1,8,1,9,1,10,6,4,10,19,8,4,14,19,5,4,3,19,2,4,7,18,2,14,1,18,1,14,1,15,1,14,1,3,3,14,2,18,2,9,1,10,1,8,1,18,1,3,2,18,1,10,1,18,1,16,4,3,1,18,7,4,2,19,8,4,254,18,1,3,7,16,3,3,1,4,5,18,3,9,1,18,1,14,1,3,1,16,72,3,2,18,2,3,2,18,1,10,1,9,1,18,5,3,12,16,23,3,3,16,9,3,1,4,468,},
{4,286,19,12,4,133,19,9,4,4,19,13,4,3,10,12,4,4,19,6,4,90,19,6,4,4,19,18,4,19,19,6,4,1,18,1,9,1,8,1,10,1,18,2,10,3,3,1,16,9,3,1,18,1,10,3,18,2,10,4,18,1,14,1,8,1,18,1,16,4,3,6,18,1,10,12,18,2,3,8,16,23,3,1,18,1,10,5,8,4,18,8,8,1,10,150,8,2,10,16,8,1,10,6,8,3,10,10,8,1,18,3,8,1,18,1,15,2,18,2,15,1,14,2,15,1,8,2,10,5,9,1,8,6,14,4,15,1,8,1,15,2,8,2,15,3,8,5,15,1,14,3,3,2,14,2,15,1,8,4,18,1,15,1,14,2,15,1,18,1,8,3,10,5,8,3,10,55,9,1,10,31,4,9,10,6,18,2,10,4,4,5,19,8,4,19,19,6,4,7,10,17,8,4,10,3,8,1,18,4,9,2,18,3,9,4,8,2,18,6,8,17,10,3,8,2,18,2,8,14,18,6,8,14,18,2,8,4,18,3,8,2,18,1,8,1,10,6,8,2,18,6,9,1,10,1,9,1,10,3,9,1,8,38,18,2,8,6,18,6,4,1,19,4,4,2,19,11,4,3,18,3,8,2,10,2,8,3,10,2,8,21,18,3,8,14,15,1,14,2,15,1,8,21,18,5,4,67,10,1,18,3,8,1,18,3,14,1,18,2,15,2,8,6,15,1,14,4,15,1,18,1,8,6,18,2,8,2,18,1,14,1,3,4,18,2,10,1,9,1,18,1,4,12,18,2,10,3,9,1,18,5,8,9,15,8,8,2,15,1,18,1,8,4,18,15,8,1,18,1,8,2,18,3,15,3,14,10,15,1,8,2,15,1,14,3,8,3,15,1,8,1,15,1,14,1,3,1,14,2,3,2,14,2,15,3,14,12,18,4,4,17,19,4,4,2,18,10,8,1,18,3,9,2,18,8,9,2,18,4,3,1,18,4,3,4,18,3,3,2,18,43,4,73,18,1,3,4,18,3,3,2,18,8,10,3,4,50,18,1,3,4,8,1,10,1,8,1,14,2,15,1,8,2,15,5,14,3,17,1,16,2,17,2,14,1,7,2,8,1,18,2,4,37,10,2,9,1,18,7,8,2,9,4,10,2,9,2,10,2,4,10,19,8,4,15,19,11,4,5,18,4,3,6,14,1,18,3,8,1,9,1,8,1,18,2,3,1,18,1,9,1,18,1,3,1,16,4,3,2,18,3,10,2,4,2,19,8,4,248,19,4,4,3,18,2,3,2,16,6,3,1,4,5,3,2,18,1,10,3,18,1,3,1,16,71,3,2,18,2,3,2,18,1,9,2,18,5,10,1,9,1,3,2,16,1,3,1,18,2,3,4,16,23,3,1,18,1,3,1,16,4,3,2,16,3,3,1,4,468,},
{4,286,19,12,4,135,19,4,4,7,19,5,4,3,19,5,4,3,10,12,4,5,19,5,4,90,19,6,4,4,19,18,4,20,19,5,4,2,18,1,8,1,18,2,3,4,16,3,3,1,16,6,3,3,18,1,10,8,18,1,3,1,16,5,3,2,16,3,3,1,18,1,10,12,8,1,18,4,9,1,18,1,3,1,16,25,3,1,8,1,10,2,8,1,18,1,8,1,10,3,8,1,18,1,14,1,3,4,18,1,8,1,10,176,8,3,10,10,8,2,18,2,10,1,8,1,15,1,14,3,18,1,8,2,10,7,8,2,18,1,8,3,10,2,8,1,14,4,15,2,8,1,10,2,8,6,9,2,8,3,18,1,14,4,15,1,18,1,8,3,18,1,15,3,18,1,8,1,9,1,10,7,8,3,10,55,9,2,10,31,4,8,10,6,8,2,10,4,4,7,19,2,4,1,19,3,4,19,19,5,4,7,10,17,8,5,10,3,8,1,18,22,8,16,10,2,8,2,18,4,8,18,18,3,8,12,18,2,8,8,10,1,8,2,10,7,8,5,18,2,9,1,10,1,9,1,10,3,8,1,18,1,8,7,18,3,8,36,18,5,4,2,19,3,4,2,19,8,4,2,19,2,4,2,18,3,8,2,10,2,8,3,10,2,8,22,18,2,8,15,15,3,8,22,18,4,4,67,10,1,18,3,10,1,8,2,18,4,14,1,15,1,18,7,14,1,3,2,14,1,18,3,8,6,15,1,8,2,15,2,14,1,3,3,18,2,10,1,18,2,4,12,18,4,8,1,18,5,8,10,15,11,18,3,8,2,18,14,8,2,18,5,15,2,14,11,15,2,8,2,15,1,14,3,8,5,15,1,14,4,3,2,14,1,15,4,14,13,18,3,4,24,18,13,8,1,9,1,18,14,3,2,18,3,3,3,18,2,9,1,18,28,8,2,18,4,8,2,18,12,4,72,18,1,3,4,18,11,10,1,4,1,10,2,4,50,18,1,3,4,8,1,10,1,8,1,14,2,15,7,14,2,15,1,14,2,17,2,14,2,7,2,15,1,8,1,18,2,4,37,10,2,9,1,18,6,8,5,9,2,10,1,9,2,18,2,10,1,4,12,19,6,4,20,19,6,4,5,18,4,3,2,16,1,3,2,14,1,18,1,9,1,10,1,8,1,18,1,8,1,18,2,14,1,3,2,18,2,3,2,16,3,3,5,10,2,4,1,19,9,4,248,19,3,4,6,3,1,16,7,3,1,18,1,4,3,18,1,3,1,18,2,9,2,18,3,3,5,16,67,3,1,18,2,3,2,18,4,10,2,18,1,9,1,10,2,18,1,3,3,18,2,16,27,3,5,16,1,3,1,4,2,3,3,18,1,4,468,},
{4,286,19,12,4,119,18,1,10,3,18,3,4,36,10,12,4,7,19,2,4,92,19,5,4,4,19,18,4,21,19,2,4,3,10,1,18,1,8,1,18,3,3,1,16,3,3,4,16,5,3,3,18,1,10,8,3,1,16,5,3,1,18,1,3,2,16,1,3,2,18,1,10,14,8,1,18,1,9,1,10,2,3,1,16,9,3,3,16,13,3,1,8,1,10,2,8,1,18,1,8,2,10,2,8,1,18,1,3,1,16,3,3,1,14,1,8,1,10,176,8,4,10,9,8,2,18,2,8,2,15,1,14,2,15,1,8,1,10,8,8,4,15,3,8,3,15,1,14,2,15,2,8,2,10,2,8,2,10,1,9,1,8,1,18,2,8,6,15,1,14,3,15,1,18,1,8,1,18,5,8,2,10,3,8,5,10,3,8,1,10,57,9,2,10,29,4,1,10,18,18,1,4,31,19,4,4,8,10,17,8,7,10,1,8,1,18,22,8,16,10,1,8,3,18,3,8,20,18,4,8,19,10,9,8,1,10,2,8,1,10,2,9,1,18,1,8,1,10,2,8,1,9,1,10,2,18,3,9,3,8,4,18,3,8,4,9,3,8,28,18,5,4,7,19,2,4,2,19,4,4,2,19,2,4,2,18,3,8,1,10,2,8,4,10,2,8,22,18,3,8,2,9,1,8,36,18,4,4,67,18,5,8,4,18,5,8,5,18,2,3,2,18,4,8,5,15,2,8,3,15,2,14,2,3,1,18,2,8,1,18,2,4,3,18,1,4,7,18,11,8,8,15,1,8,1,15,5,14,1,15,5,18,26,15,2,14,5,15,7,18,2,8,1,15,4,8,5,15,1,14,2,15,1,14,1,3,2,14,1,15,1,8,1,15,3,14,7,15,1,14,4,18,3,4,25,18,3,3,1,18,6,3,1,18,2,8,1,18,5,3,3,18,6,3,3,18,2,3,3,18,7,9,1,18,8,3,2,18,14,8,1,18,4,8,3,18,11,4,74,19,2,18,7,4,59,18,1,3,4,8,2,15,1,14,2,15,6,14,3,15,2,14,3,7,5,8,1,18,1,3,1,18,1,4,36,10,2,8,1,18,1,8,3,18,2,8,2,10,1,8,1,9,2,10,4,9,2,18,1,4,14,19,4,4,20,19,7,4,7,18,1,3,1,16,2,3,2,18,2,10,1,9,1,18,1,14,1,18,4,3,2,18,3,3,2,16,2,3,5,18,1,10,1,4,3,19,7,4,248,19,4,4,5,18,1,3,1,16,6,3,2,18,3,3,2,18,1,8,1,18,10,3,7,16,60,3,1,18,3,3,1,18,4,10,2,9,2,10,2,18,1,3,3,9,1,18,1,16,29,3,5,4,3,3,2,18,1,4,468,},
{4,286,19,12,4,113,19,2,4,4,18,1,10,10,18,3,10,2,4,1,18,3,4,1,10,2,18,3,10,2,4,1,18,1,4,2,10,11,4,14,10,2,4,106,19,18,4,24,18,3,10,3,8,1,10,1,18,1,3,1,16,2,3,1,18,1,3,1,16,5,3,4,18,1,10,7,18,1,3,1,16,4,18,1,10,3,18,3,8,1,10,12,8,1,10,6,9,1,18,1,3,2,16,2,3,3,16,1,3,4,16,13,3,1,8,1,10,2,8,1,18,1,8,5,14,1,3,2,16,2,3,1,14,1,8,1,10,47,8,2,10,130,8,6,10,2,8,4,18,2,15,1,18,4,8,1,10,1,8,3,10,4,8,2,10,2,8,1,15,1,14,8,15,1,8,1,10,2,8,1,18,3,8,2,14,2,3,1,14,1,18,1,8,4,18,1,14,4,15,3,18,3,8,3,10,2,9,1,8,1,18,3,8,1,10,3,8,2,10,17,8,1,10,39,9,1,10,57,18,1,4,22,19,4,4,5,19,1,4,3,10,15,8,11,9,1,8,1,18,13,8,32,18,1,8,11,10,2,8,4,18,4,8,18,10,3,8,8,10,5,9,1,8,1,9,2,8,2,10,1,9,1,18,3,9,3,8,5,18,3,8,2,9,1,10,2,9,1,8,18,18,2,8,7,18,7,10,2,4,4,19,2,4,2,19,4,4,7,18,2,8,1,10,2,8,28,18,3,8,39,18,6,4,2,10,1,9,2,4,60,18,6,8,5,18,2,8,3,10,3,8,1,18,7,8,5,15,2,8,5,18,2,3,1,18,2,8,1,18,2,9,1,10,3,9,2,10,1,18,15,8,7,15,7,14,1,15,7,18,26,15,1,14,4,15,2,18,2,15,1,18,2,15,2,18,2,8,4,15,1,8,3,15,2,14,2,15,1,14,4,15,1,8,2,15,3,14,4,15,4,18,1,14,1,18,4,4,26,18,5,8,2,18,2,3,2,18,7,3,6,18,3,3,3,18,1,3,2,18,5,3,2,18,12,3,1,14,1,18,18,8,3,18,5,8,2,18,4,4,7,19,3,4,67,18,2,4,64,3,4,18,1,8,1,15,1,14,2,15,3,14,4,3,1,14,1,15,2,7,6,14,2,15,1,14,1,3,2,4,28,19,5,4,3,10,2,18,2,8,3,18,2,8,1,10,3,9,1,10,8,18,2,10,2,18,6,4,28,19,8,4,6,18,1,3,2,16,1,3,1,18,5,3,3,18,1,8,1,18,1,14,1,3,1,18,4,3,1,16,3,3,4,18,2,4,4,19,7,4,247,19,4,4,6,3,2,16,5,3,2,18,1,3,3,18,1,10,2,8,1,18,4,9,2,18,5,3,1,18,1,4,3,3,1,16,59,3,1,18,1,10,1,18,7,10,2,9,1,18,3,3,3,9,1,18,1,3,1,16,30,3,2,18,1,4,4,18,2,4,6,19,4,4,458,},
{4,286,19,12,4,112,19,4,4,3,18,1,10,10,8,1,10,3,9,1,18,4,9,1,8,1,10,21,4,14,10,2,4,107,19,9,4,2,19,2,4,28,18,4,9,1,8,2,10,1,18,1,3,3,18,2,3,2,16,4,3,2,16,2,3,1,18,1,10,6,18,1,3,1,16,3,14,1,10,19,8,3,10,4,18,2,10,1,18,1,3,11,16,13,3,1,18,1,10,3,8,6,18,2,14,1,3,3,18,1,8,1,10,47,8,1,10,131,8,13,18,1,14,1,15,1,8,1,10,1,8,3,18,1,14,2,8,1,10,3,8,2,10,2,8,1,14,8,15,1,8,1,9,1,10,2,18,1,14,2,15,1,8,1,18,1,14,1,3,2,14,1,15,1,8,2,9,1,10,1,8,1,18,1,14,2,15,3,18,2,8,9,18,4,8,1,10,2,8,3,10,15,8,3,10,84,8,1,9,1,10,11,4,22,19,5,4,2,19,4,4,3,10,12,8,5,10,2,8,5,9,4,18,10,9,3,8,31,18,2,8,2,10,2,8,6,10,1,8,15,10,2,8,3,10,3,8,4,10,2,8,3,18,4,8,5,10,2,9,4,18,2,9,1,8,1,18,2,8,1,9,2,8,7,18,2,8,2,9,1,10,2,9,1,8,18,18,3,8,6,18,3,8,2,18,1,10,5,4,2,19,2,4,3,19,2,4,9,18,2,8,1,10,1,8,25,10,1,9,1,8,1,18,4,8,4,18,1,8,11,10,2,8,21,18,6,10,4,4,59,10,2,18,6,8,7,10,7,18,2,8,2,18,2,8,4,15,3,8,6,18,1,3,1,18,1,10,1,9,1,18,2,8,1,10,2,8,3,10,1,18,14,8,4,15,19,18,27,15,1,14,4,18,3,8,4,18,3,8,4,15,2,8,1,15,1,14,3,15,1,14,5,15,2,8,1,15,9,18,9,4,27,18,7,3,1,18,7,3,7,18,1,9,1,18,1,3,3,18,8,3,2,18,12,3,1,18,33,4,3,18,1,4,3,19,4,4,132,3,4,15,1,8,1,14,4,15,2,14,4,3,1,14,1,15,1,8,1,15,1,8,4,7,1,14,4,3,2,18,1,4,27,19,6,4,2,10,1,9,1,18,2,8,3,18,2,8,1,10,3,9,2,10,7,9,1,18,1,10,3,9,1,18,5,4,27,19,8,4,7,18,1,3,3,18,1,3,1,14,1,18,2,3,3,14,1,18,1,9,1,18,4,8,1,18,1,3,2,16,1,3,4,16,1,3,2,18,2,4,2,19,8,4,246,19,4,4,6,18,1,3,1,16,4,3,6,18,2,10,2,18,10,10,2,18,1,4,4,18,1,3,1,16,3,3,1,16,6,3,3,16,45,3,1,18,7,9,3,10,2,18,3,3,4,18,1,3,3,16,24,3,6,4,4,18,1,3,2,18,1,4,5,19,6,4,456,},
{4,286,19,10,4,115,19,4,4,2,10,11,8,1,10,2,8,1,18,3,9,1,8,1,10,6,8,5,10,6,18,1,10,5,4,14,10,4,4,106,19,8,4,32,18,1,9,1,8,2,18,1,8,1,10,1,18,1,3,2,18,6,3,2,16,7,3,1,10,2,18,2,10,3,18,1,16,2,3,1,8,1,10,4,8,3,10,12,8,2,10,5,8,1,18,1,9,1,18,1,3,1,16,1,3,4,16,1,3,8,16,9,3,1,14,1,18,1,10,3,8,5,10,1,8,2,18,4,8,1,10,180,8,2,18,1,8,5,10,4,8,1,18,1,8,1,10,2,8,1,14,3,3,1,14,1,8,1,10,3,8,2,10,1,8,1,14,1,3,1,14,1,15,1,8,1,15,3,8,2,9,1,8,2,15,3,14,1,15,1,18,1,8,1,18,1,14,2,15,1,8,1,9,2,10,3,8,1,18,1,8,1,18,3,8,3,9,1,10,2,9,1,8,5,18,1,15,1,18,2,8,5,10,15,8,3,10,84,9,5,10,8,4,22,19,11,4,5,10,2,9,1,8,2,9,1,10,3,8,6,10,3,8,3,9,2,10,1,9,2,18,1,4,9,18,1,8,5,18,1,8,15,9,1,8,1,10,2,8,3,10,3,8,3,18,1,8,18,10,1,8,6,10,10,8,5,18,7,8,3,18,3,9,3,8,1,18,3,8,2,18,2,8,1,9,1,8,2,9,1,10,3,9,1,8,5,10,2,9,1,8,2,18,1,8,15,18,5,8,11,10,4,18,1,4,2,19,3,4,13,18,2,8,26,9,1,10,1,9,1,8,1,18,3,8,4,18,2,8,31,18,2,8,2,18,6,8,1,10,2,18,1,4,6,18,4,4,24,18,2,4,22,9,1,8,1,10,1,18,6,8,3,18,1,8,1,10,3,18,2,10,1,8,1,10,1,18,6,8,4,15,4,8,4,18,3,8,1,10,1,9,1,18,1,9,1,10,4,8,1,10,2,18,6,15,1,18,1,8,4,15,1,8,4,15,18,18,30,15,1,14,3,18,3,8,5,18,5,15,1,14,1,15,3,3,2,14,1,15,1,14,5,15,2,8,1,15,1,18,1,15,7,18,10,4,28,18,13,3,7,18,1,9,1,18,1,3,2,18,17,3,4,18,1,3,1,14,1,18,31,8,1,18,6,4,2,19,4,4,131,18,1,3,4,14,1,7,1,14,4,15,2,14,5,15,2,8,8,15,3,14,2,18,2,4,2,19,6,4,17,19,7,4,2,10,1,18,3,9,1,8,2,18,2,8,1,10,3,9,3,10,6,9,2,10,7,9,1,18,2,4,26,19,8,4,9,18,2,3,3,18,2,3,4,18,1,9,2,8,1,18,5,3,3,14,1,3,2,16,1,3,3,18,1,4,3,19,7,4,256,18,1,3,1,16,2,3,5,18,17,10,2,4,6,3,5,16,4,3,7,16,44,3,2,18,4,10,7,9,2,18,1,3,4,18,2,3,3,16,9,3,1,16,12,3,1,4,5,18,2,3,2,16,3,3,1,18,1,4,2,18,1,3,1,4,2,19,4,4,456,},
{4,286,19,9,4,115,19,5,4,2,10,3,8,2,10,8,8,2,18,2,8,1,10,6,8,6,10,11,4,126,19,2,4,1,19,5,4,31,18,1,9,1,8,1,10,1,8,3,18,1,3,2,18,1,10,2,3,3,18,2,3,2,16,6,3,1,10,2,18,2,8,1,10,3,18,2,10,5,8,1,14,1,3,1,18,1,8,1,10,19,8,2,3,2,16,1,3,14,16,8,3,1,14,1,18,1,8,1,10,2,8,4,10,6,8,3,10,180,8,2,18,1,8,2,18,1,8,2,10,3,8,4,10,2,8,1,14,3,3,3,14,1,18,1,8,1,9,2,8,1,14,1,3,2,15,1,8,1,10,1,9,1,15,2,9,1,10,1,8,1,15,1,14,6,15,1,8,3,18,1,8,2,9,1,8,1,9,1,10,3,9,3,8,4,9,1,10,4,8,1,18,1,8,1,10,1,8,1,18,1,15,2,18,1,8,6,10,15,8,1,10,8,8,1,10,72,18,1,4,7,18,2,10,7,4,24,19,10,4,5,18,5,9,1,10,2,9,1,8,8,9,1,10,2,9,1,10,4,4,11,10,1,9,2,8,19,10,10,8,20,10,3,8,5,10,3,8,3,10,5,8,4,18,2,8,6,10,1,8,1,18,3,9,1,10,1,9,1,18,8,9,2,18,2,9,1,10,3,9,1,8,5,9,3,8,1,18,2,8,29,10,5,18,3,4,17,18,3,8,1,18,1,8,12,18,1,8,10,10,3,8,2,18,2,8,4,18,2,8,4,18,1,8,10,10,1,8,14,18,3,8,2,18,6,8,1,18,14,10,1,18,1,4,12,18,13,4,2,18,2,4,16,9,1,8,1,10,2,18,1,3,1,18,3,8,3,18,1,8,1,10,2,8,5,10,1,18,7,8,1,18,1,15,6,8,2,15,1,18,2,8,1,10,1,8,4,10,3,8,1,10,2,8,1,18,3,8,2,15,3,8,3,15,2,8,3,15,19,18,11,9,3,10,1,9,1,18,11,8,2,18,2,15,1,14,2,18,4,8,2,9,1,8,1,18,5,15,1,14,2,15,1,14,1,3,1,16,1,14,1,15,1,14,2,15,5,8,1,18,2,15,5,18,10,3,1,18,2,4,28,18,9,3,1,18,2,3,5,18,1,3,1,18,19,9,2,18,1,3,3,18,11,8,1,18,11,15,1,18,10,8,2,9,2,18,3,4,3,19,3,4,130,19,2,3,4,14,1,15,1,7,5,15,2,14,4,15,5,8,7,15,3,14,2,18,2,4,1,19,6,4,16,19,8,4,2,18,3,8,1,9,1,8,2,18,2,8,1,10,3,9,4,10,5,9,2,10,7,9,2,18,1,4,29,19,4,4,11,18,1,3,3,18,3,3,4,18,1,10,2,18,5,14,1,3,2,18,1,14,1,3,1,16,3,3,2,18,1,4,4,19,5,4,257,3,8,18,9,10,1,18,10,4,4,18,1,3,2,18,2,3,1,16,3,3,1,18,2,3,3,18,2,3,1,16,44,3,2,18,3,10,10,3,2,16,1,3,1,18,2,3,5,16,4,3,5,16,8,3,3,18,1,4,5,18,1,3,1,16,6,3,1,18,2,3,1,16,1,3,1,18,1,19,4,4,456,},
{4,286,19,8,4,113,19,7,4,3,10,3,8,2,10,8,8,4,10,2,8,2,10,3,8,4,10,10,4,6,19,4,4,15,19,1,4,107,18,1,3,2,18,1,19,2,4,27,10,1,9,1,8,7,10,1,18,2,3,1,18,1,3,7,16,7,3,1,10,2,3,2,9,1,10,10,8,1,3,2,14,1,8,1,10,20,18,2,3,4,18,1,10,2,9,1,3,2,18,2,3,2,18,1,3,1,16,5,3,3,14,1,18,1,8,1,10,1,8,7,10,4,8,2,10,54,8,1,10,128,8,3,18,2,8,2,10,1,8,6,10,2,8,3,18,1,3,1,16,3,3,1,8,1,10,2,8,1,14,1,3,1,14,1,15,1,10,1,9,1,8,1,15,2,9,2,8,1,15,1,14,2,15,1,14,1,3,2,14,1,15,1,8,1,10,1,8,4,18,2,8,1,10,7,9,2,10,4,9,1,8,1,18,1,8,3,18,3,8,2,10,2,8,4,10,16,8,3,10,3,8,4,10,64,4,20,10,3,4,6,19,5,4,17,19,6,4,7,18,3,4,3,18,1,8,8,9,1,10,3,9,3,10,1,4,1,19,5,4,6,10,7,8,10,9,1,10,2,9,1,10,4,8,3,10,5,8,8,10,2,8,9,10,3,8,5,10,1,8,5,10,3,8,7,10,8,18,2,9,1,10,3,18,8,9,1,8,1,18,2,8,1,10,2,9,2,8,5,9,3,8,34,10,3,18,3,4,17,18,4,8,12,18,2,8,9,9,1,10,3,9,1,8,1,18,1,8,5,18,2,8,30,18,3,8,1,18,6,8,2,18,13,10,2,18,2,4,6,18,7,3,1,18,17,4,13,9,1,8,1,10,2,18,1,3,2,18,2,8,1,18,1,8,1,18,2,10,3,8,5,10,1,18,2,10,1,8,4,18,1,15,9,18,2,8,1,10,6,8,3,10,2,18,4,8,2,15,10,8,1,15,19,8,2,18,6,8,1,9,2,10,5,9,1,18,9,8,3,18,10,8,4,18,3,15,4,8,1,14,1,16,2,14,4,15,1,8,1,15,2,8,3,18,2,15,1,18,16,4,28,18,9,3,1,18,2,3,4,18,2,3,2,18,4,9,2,18,19,9,1,10,1,9,1,18,14,8,3,18,3,15,1,18,9,8,1,9,3,18,3,4,2,19,4,4,129,19,2,3,5,15,1,8,3,7,3,15,4,18,1,8,2,15,1,14,2,15,4,8,4,15,4,18,3,4,2,19,6,4,15,19,8,4,2,18,3,8,3,18,3,8,1,10,3,9,3,18,2,9,1,10,2,9,3,10,2,9,3,10,1,9,2,18,2,4,44,18,1,3,2,18,1,4,2,10,1,3,1,16,2,3,1,14,1,9,1,10,1,18,2,9,2,18,6,3,2,16,2,3,1,18,1,3,2,18,1,4,3,19,4,4,259,18,11,4,8,10,3,18,1,3,2,18,3,10,2,18,1,3,4,16,4,3,1,18,2,3,3,18,1,10,1,18,1,3,1,16,42,3,3,18,3,10,4,18,2,9,1,10,4,3,3,18,6,3,2,16,3,3,1,16,1,3,1,18,1,3,1,16,7,3,1,4,2,18,1,3,1,18,2,3,2,18,1,3,1,16,7,3,3,16,3,3,2,4,2,19,4,4,453,},
{4,287,19,7,4,112,19,8,4,2,10,14,8,3,10,8,8,2,10,11,4,2,19,10,4,8,19,8,4,106,18,1,3,2,18,1,19,2,4,16,10,11,8,8,10,2,18,2,3,5,16,9,3,1,16,1,3,1,9,1,10,1,3,2,9,1,10,10,14,1,16,2,3,1,8,1,10,5,8,3,10,13,18,2,3,2,18,1,9,1,10,3,9,1,18,4,3,1,18,2,3,2,16,2,3,2,18,2,8,2,10,2,8,4,18,1,8,8,10,27,18,2,10,24,8,3,10,127,8,2,18,4,8,4,18,3,8,1,10,5,8,1,14,1,16,3,3,1,8,1,10,2,18,1,14,3,8,3,15,3,8,2,14,4,15,1,14,1,3,3,14,1,8,1,10,2,9,1,8,1,18,1,15,2,18,1,8,2,9,1,10,3,8,5,10,2,8,2,18,1,15,1,18,4,8,2,10,3,8,5,10,15,8,3,10,2,8,5,10,15,9,3,10,45,4,9,19,8,4,5,10,2,4,6,19,6,4,16,19,6,4,14,18,2,8,2,18,3,8,1,9,1,10,3,9,3,10,1,4,1,19,5,4,6,10,10,8,1,10,1,8,5,9,1,10,6,8,6,10,5,8,6,10,3,8,10,10,1,8,12,10,1,8,7,10,5,8,2,10,3,9,1,10,4,18,8,8,2,18,2,8,11,9,2,8,19,10,3,9,1,8,11,10,3,18,2,8,1,10,1,4,16,18,4,8,13,18,1,8,9,9,1,10,3,9,1,8,21,10,1,8,18,18,2,8,2,18,3,8,2,10,2,8,1,18,12,10,2,18,2,4,1,10,1,4,2,18,23,3,2,18,6,4,10,10,2,18,1,3,3,18,2,8,5,10,4,8,4,10,5,8,2,18,2,15,5,8,3,15,1,18,2,8,1,10,1,18,3,4,1,10,1,8,3,10,2,18,3,8,2,15,11,8,1,15,11,8,1,15,6,18,1,8,2,18,4,8,1,9,3,10,6,9,1,18,10,8,3,18,2,8,1,18,7,8,4,18,4,15,2,8,1,14,1,3,2,14,4,8,2,15,2,8,3,18,17,3,1,18,2,4,28,18,3,10,2,18,7,3,2,18,3,3,4,18,2,9,2,18,6,3,2,18,1,9,1,18,8,9,1,10,2,9,1,18,14,8,3,18,3,15,1,18,9,8,3,18,4,4,2,19,4,4,129,19,2,3,4,18,1,8,6,15,3,8,6,15,1,14,1,15,6,8,2,15,3,8,2,18,3,4,2,19,5,4,15,19,8,4,2,18,2,8,3,18,4,8,3,9,2,10,1,9,1,18,5,9,2,10,3,9,5,18,3,4,45,18,2,4,3,10,1,3,1,16,3,3,1,8,1,10,1,9,1,18,1,9,2,18,7,3,3,14,1,3,4,18,1,4,2,19,3,4,265,18,1,3,2,18,3,4,8,10,3,9,1,3,3,18,1,9,1,10,2,18,2,3,3,16,3,3,2,18,2,3,4,18,1,10,1,3,1,16,43,3,2,18,2,9,1,10,4,18,2,9,1,10,4,9,1,3,2,18,3,9,1,10,1,9,1,3,8,18,2,3,1,16,6,3,1,4,2,3,3,16,3,3,2,16,8,3,1,16,5,3,1,4,2,19,5,4,452,},
{4,288,19,5,4,113,19,6,4,4,10,14,8,1,10,5,8,4,10,3,8,2,10,9,4,2,19,10,4,4,19,12,4,106,19,3,4,19,10,3,4,1,10,5,8,9,10,1,18,2,3,7,16,9,3,3,18,1,9,1,3,2,9,1,10,7,8,1,18,1,14,1,3,1,16,2,14,1,8,1,10,4,8,2,18,2,8,1,10,13,8,1,18,5,8,1,10,3,18,1,3,4,18,1,9,1,3,1,16,2,3,1,18,1,8,1,10,1,8,2,10,3,8,2,18,5,8,4,10,27,18,1,10,1,18,1,10,24,8,1,18,1,8,1,10,128,8,1,18,11,8,1,10,4,8,1,18,1,14,1,3,1,16,2,14,1,8,1,10,1,8,1,14,1,3,1,14,1,15,1,8,1,15,2,14,1,15,3,14,4,15,2,14,1,3,3,14,1,8,1,10,2,8,2,18,1,14,1,15,1,18,1,8,1,18,2,8,3,18,5,8,3,18,1,15,1,14,3,15,1,18,1,8,1,10,4,8,2,18,1,8,3,10,15,8,3,10,2,8,5,10,9,9,1,10,4,9,3,10,37,9,1,10,7,4,9,19,9,4,4,10,2,4,7,19,5,4,18,19,3,4,17,9,1,18,5,9,1,10,3,9,2,10,2,4,1,19,7,4,4,10,1,8,1,9,1,8,2,10,15,9,1,10,1,8,9,10,4,8,6,10,4,8,17,18,3,8,10,10,3,8,1,18,3,10,8,18,8,8,2,18,3,8,11,10,3,8,15,18,1,8,1,10,5,8,16,10,1,4,14,10,1,9,1,18,3,8,2,9,1,8,1,9,2,8,7,18,1,8,10,9,1,10,2,9,2,8,15,10,1,8,4,10,2,8,18,18,2,8,6,10,4,8,1,18,51,4,8,18,4,3,3,18,3,8,4,10,4,8,3,10,6,18,4,15,4,8,3,15,2,18,7,4,1,10,2,8,2,10,1,18,5,15,12,8,1,15,14,18,5,8,3,18,2,8,2,9,4,10,5,9,1,18,14,8,1,9,1,8,1,18,7,8,1,9,1,8,1,18,7,15,1,14,1,3,1,14,4,8,2,15,2,8,3,18,1,8,2,18,17,4,29,18,3,10,1,18,12,3,4,18,2,9,1,18,6,3,3,9,1,10,1,18,2,3,4,18,2,9,1,18,13,15,1,18,3,8,3,18,4,15,1,18,2,8,3,18,2,8,3,18,4,4,3,19,4,4,129,19,2,3,3,18,2,8,11,9,1,8,3,15,2,8,2,15,4,8,2,15,2,8,4,18,3,4,2,19,4,4,7,19,6,4,3,19,4,4,5,18,1,9,2,8,1,18,5,8,3,10,4,9,1,18,4,9,2,10,4,9,3,18,4,4,50,10,1,3,1,16,3,3,1,18,1,10,2,9,2,8,1,18,6,9,1,18,1,3,2,14,1,3,1,16,2,3,2,18,1,4,270,18,1,3,2,18,1,4,11,10,2,3,2,18,1,9,3,10,1,18,2,3,2,16,2,3,2,18,6,3,7,16,41,3,2,18,2,10,13,18,6,10,1,9,1,18,1,3,7,10,2,3,1,16,8,3,1,16,21,3,2,4,2,19,5,4,452,},
{4,290,19,2,4,114,19,6,4,4,10,11,8,2,10,7,8,3,10,4,8,3,10,8,4,2,19,10,4,4,19,12,4,104,19,6,4,17,18,1,9,1,10,2,4,6,8,3,10,2,8,3,10,2,18,4,3,2,16,13,3,2,9,1,18,1,3,2,18,1,10,1,18,2,10,4,8,1,14,1,3,2,16,1,3,2,18,2,8,2,10,2,8,1,18,3,8,1,10,13,8,2,18,4,10,3,18,1,3,4,18,1,10,1,18,1,16,2,3,1,10,4,8,1,10,4,8,2,18,4,8,2,10,6,8,2,10,21,18,3,10,23,8,1,18,2,8,1,10,127,8,1,18,1,14,2,18,3,14,1,18,3,8,1,18,2,8,3,10,1,8,2,14,1,3,3,18,1,8,2,14,1,3,2,14,1,15,2,14,3,15,2,14,7,3,4,14,1,9,1,10,2,8,1,18,1,15,1,14,2,15,1,18,2,8,3,18,2,14,2,15,1,18,1,8,1,9,1,8,1,18,1,15,1,14,1,3,1,14,1,15,1,8,8,18,3,8,2,10,16,8,2,10,4,8,3,10,8,9,1,10,4,9,1,18,2,10,34,9,1,10,1,9,2,10,7,4,9,19,9,4,4,10,2,4,7,19,5,4,38,18,7,9,2,10,5,4,1,19,7,4,4,18,1,9,2,8,2,10,13,9,3,8,11,10,4,8,6,10,2,8,18,18,4,8,6,18,2,8,1,9,1,10,2,8,1,18,3,10,7,9,1,18,3,8,1,10,1,9,1,18,2,8,2,18,7,8,8,10,2,8,15,18,1,8,1,10,4,8,14,10,2,8,1,18,2,4,13,10,1,9,1,18,4,8,1,9,1,8,2,9,2,8,1,18,1,8,16,9,3,8,3,9,2,8,2,18,1,8,1,9,1,8,5,10,2,8,5,10,1,8,12,18,1,8,5,18,1,8,7,10,4,8,1,18,22,15,2,8,6,15,6,18,16,4,6,18,2,3,1,18,2,3,3,18,4,8,2,10,5,8,3,10,1,4,4,10,1,18,6,15,1,8,6,18,6,4,2,10,5,18,4,15,12,8,2,15,13,18,6,8,2,18,6,8,1,18,2,9,5,18,14,8,2,10,1,8,1,18,1,3,1,18,5,8,1,9,1,8,1,18,1,15,1,18,1,8,1,18,2,15,2,14,5,15,2,18,1,15,3,8,1,18,3,8,1,18,19,4,28,18,17,3,2,18,6,9,1,18,2,3,3,18,1,10,1,18,2,3,3,18,5,3,2,15,6,18,4,15,1,18,2,8,3,18,8,15,1,8,4,15,3,18,2,8,1,18,1,4,4,19,3,4,129,19,2,3,3,18,1,8,11,9,2,8,7,18,1,15,3,8,1,15,7,14,3,18,1,4,2,19,4,4,6,19,6,4,11,18,2,9,2,8,1,15,3,8,6,10,4,9,1,18,3,9,2,10,7,9,2,18,2,4,50,18,1,3,4,18,2,9,4,18,3,3,2,14,1,18,1,9,1,18,2,14,1,15,1,3,1,16,3,3,2,4,271,18,2,4,12,10,2,18,3,9,4,18,2,3,4,18,2,9,1,18,5,3,1,16,3,3,1,18,1,3,1,16,3,3,2,16,36,3,2,18,2,10,15,18,4,10,1,9,1,18,1,3,6,18,1,10,2,18,1,3,2,16,29,3,2,4,2,19,4,4,452,},
{4,406,19,6,4,4,10,11,8,3,10,2,8,2,10,15,18,1,10,4,4,2,19,10,4,4,19,12,4,102,19,8,4,17,18,4,4,8,10,1,18,2,10,4,18,2,10,1,8,1,10,1,18,1,16,14,3,1,18,1,10,1,18,1,3,2,18,5,10,4,18,1,14,1,3,6,18,1,8,1,10,3,8,1,18,2,8,1,10,13,8,1,18,2,10,3,8,1,18,2,14,1,3,1,16,2,3,1,18,1,10,1,18,1,3,2,18,1,10,2,8,3,10,6,8,4,10,8,18,2,10,47,8,1,18,2,8,1,10,126,8,2,18,1,14,2,8,2,14,1,3,1,14,1,8,1,10,2,8,1,18,4,8,1,10,1,8,1,14,1,3,1,16,1,3,1,18,1,8,1,18,1,14,1,3,2,14,4,15,2,14,7,3,6,14,1,9,1,10,1,9,1,18,2,14,4,15,1,8,1,9,1,10,1,8,2,18,1,14,2,15,1,8,1,10,2,9,1,18,1,14,4,18,1,8,2,18,1,15,2,18,2,8,2,18,4,8,1,10,15,8,2,10,5,8,4,10,6,9,1,10,3,9,1,18,3,9,1,10,5,9,1,10,27,9,4,10,7,4,9,19,9,4,13,19,5,4,33,19,1,4,19,19,7,4,4,18,1,10,16,9,4,8,5,10,1,8,6,10,4,8,2,18,1,8,6,18,1,8,4,10,3,8,10,18,1,8,7,18,4,10,2,8,1,18,2,8,1,10,4,9,1,18,6,10,3,18,2,9,2,18,7,8,9,10,1,8,14,18,3,9,1,10,1,9,1,8,15,10,2,8,1,18,3,4,12,18,6,8,2,18,2,9,2,18,2,8,7,9,1,8,14,9,1,8,2,18,2,8,1,9,1,8,5,10,2,8,1,15,2,18,1,8,1,10,1,8,5,18,1,8,4,18,3,8,5,18,1,8,8,10,2,8,2,18,7,3,1,18,14,15,1,8,5,18,1,15,6,18,6,8,1,18,17,3,2,18,2,3,2,18,7,10,5,8,2,10,2,4,4,18,7,8,6,18,5,10,3,4,2,10,2,18,6,15,12,8,2,15,2,14,1,15,11,18,34,8,2,9,1,8,1,18,1,3,2,18,5,8,3,14,2,18,3,15,1,14,2,15,1,14,1,3,2,14,1,15,8,18,3,8,2,18,16,3,1,18,1,4,21,19,4,4,2,18,22,3,2,18,1,10,1,9,1,3,4,18,1,9,1,18,2,3,2,18,6,3,2,14,1,15,5,18,7,8,3,18,6,15,4,8,2,18,1,15,3,18,2,8,1,18,1,4,4,19,4,4,128,19,2,3,3,18,1,8,20,18,1,15,3,18,1,15,2,14,7,3,2,18,1,4,1,19,4,4,7,19,5,4,6,18,7,9,1,8,1,18,1,15,2,18,1,8,1,10,2,8,3,9,1,10,3,9,1,18,3,9,2,10,6,4,11,19,5,4,38,18,3,3,1,18,2,4,1,18,6,9,1,18,1,3,3,14,2,18,2,15,1,18,1,3,1,16,3,3,2,18,1,4,284,10,3,18,7,3,5,18,1,3,1,18,1,10,2,18,1,3,4,16,3,3,2,16,2,3,4,16,35,3,2,18,1,4,6,18,2,10,4,18,2,10,3,18,5,3,3,18,1,3,3,18,1,10,2,9,1,18,2,3,2,16,29,3,1,4,1,19,6,4,450,},
{4,406,19,6,4,4,10,8,8,1,10,2,8,2,10,3,8,2,10,1,8,2,18,3,10,7,8,1,18,1,8,1,10,4,4,3,19,9,4,4,19,11,4,103,19,8,4,29,18,3,10,7,8,2,18,1,16,14,3,1,18,1,10,1,9,1,18,3,3,3,18,1,10,4,8,4,18,1,3,3,14,1,8,1,10,4,8,3,10,13,8,1,18,1,8,1,10,3,18,1,3,2,18,1,3,1,16,2,3,1,18,3,3,2,10,3,8,4,10,17,18,2,8,1,10,46,8,3,10,118,8,2,10,9,8,1,18,2,8,2,18,3,8,1,10,2,8,1,18,1,14,2,18,1,8,2,18,1,14,1,3,1,16,1,3,1,15,1,8,2,14,1,3,4,14,1,15,2,8,1,15,2,14,5,3,4,14,1,15,1,8,1,10,2,18,1,15,2,18,5,8,1,10,1,9,1,8,2,18,1,15,1,14,1,18,1,8,1,10,3,8,1,15,1,14,3,15,1,18,2,15,1,14,2,15,1,18,5,15,1,18,1,8,1,10,16,8,1,10,6,8,4,10,10,9,1,18,2,10,45,4,10,19,8,4,13,19,4,4,33,19,2,4,2,19,1,4,16,19,6,4,5,18,1,9,1,10,15,9,1,8,2,18,1,8,3,10,4,8,8,10,1,8,2,18,1,8,5,18,2,8,3,10,4,8,14,18,1,8,1,10,2,8,2,18,2,8,1,10,2,9,2,10,5,18,7,10,3,8,1,18,1,9,2,18,9,8,10,18,1,8,11,18,3,8,18,10,2,8,1,18,3,4,12,18,4,8,4,18,2,9,2,18,2,8,6,9,2,8,4,9,2,8,14,9,1,8,9,15,1,8,8,18,2,8,1,18,1,8,1,18,3,8,18,18,22,8,6,15,2,14,4,15,2,18,4,8,3,18,1,8,2,18,26,8,1,10,5,8,2,4,1,18,9,15,3,8,1,15,5,18,4,10,5,4,1,18,7,15,5,8,5,15,1,8,1,15,3,14,1,15,12,18,5,8,1,18,9,14,5,18,15,8,2,18,2,3,1,18,2,8,1,18,2,8,3,18,1,14,2,18,2,15,2,14,1,15,1,8,1,15,1,14,1,3,1,14,1,15,2,14,5,15,1,18,21,3,3,4,19,19,5,4,2,3,2,18,13,9,2,18,4,3,3,18,1,9,1,18,1,3,5,18,3,3,1,18,2,9,1,18,6,15,1,14,3,15,1,18,9,8,1,18,2,15,1,18,11,15,3,18,5,4,3,19,4,4,128,19,2,3,2,18,1,8,4,7,1,8,17,15,5,14,2,17,1,16,1,17,1,14,3,3,3,18,1,4,2,19,1,4,9,19,3,4,6,18,9,8,1,18,1,15,1,18,1,8,2,10,2,8,2,18,1,8,1,10,4,9,2,18,2,9,1,10,5,4,12,19,6,4,36,18,1,3,1,18,1,4,5,18,1,3,3,18,1,8,1,10,1,9,1,3,5,14,1,18,1,15,1,18,1,3,2,16,2,3,3,18,1,4,283,10,4,9,1,18,3,9,1,18,2,3,1,16,1,3,1,18,2,3,2,18,3,3,4,16,3,18,1,3,1,16,2,3,4,16,35,3,1,18,1,4,7,18,2,10,4,18,2,10,4,18,4,3,2,18,2,3,3,18,1,10,4,9,1,18,2,3,2,16,28,3,1,4,1,19,7,4,448,},
{4,406,19,3,4,1,19,1,4,5,10,7,8,2,10,2,8,1,10,2,8,2,10,2,8,1,18,1,10,2,18,2,10,1,8,1,10,4,18,1,3,1,14,1,8,1,10,1,8,1,10,2,4,4,19,8,4,5,19,10,4,104,19,4,4,31,18,2,10,2,8,1,10,3,8,2,10,1,8,1,18,1,3,1,16,13,3,2,10,3,18,3,3,4,10,4,8,1,10,3,8,1,14,1,3,2,18,1,8,1,10,21,8,1,10,4,18,1,3,1,18,1,10,2,18,1,3,3,18,1,3,3,10,3,18,4,8,1,10,10,8,2,10,3,8,1,18,2,8,1,10,46,8,2,10,81,8,1,10,36,8,4,10,10,8,1,10,5,8,2,18,1,15,2,18,2,8,1,15,1,14,4,16,1,3,1,15,1,8,2,15,1,14,1,16,3,14,1,18,1,8,1,10,1,9,1,10,2,8,1,15,1,14,2,3,3,14,1,18,1,10,3,8,1,15,1,14,1,15,1,8,1,10,3,9,1,8,5,15,4,18,1,8,1,10,2,9,1,8,1,15,1,14,4,15,4,18,2,15,4,18,1,8,2,10,17,8,2,10,5,8,3,10,58,4,12,19,6,4,12,19,5,4,33,19,11,4,11,19,6,4,3,18,2,8,1,10,6,8,5,10,3,9,3,18,2,8,1,10,4,8,25,10,3,8,4,15,1,18,1,8,5,9,1,8,3,18,1,8,1,10,4,8,1,18,1,8,1,10,6,9,1,18,5,8,1,9,1,18,1,8,1,10,2,8,2,9,2,8,1,18,4,8,1,18,4,8,4,18,7,8,13,18,6,8,2,18,1,8,1,18,1,8,5,18,1,8,6,18,1,4,12,18,3,9,1,10,2,8,7,18,1,8,9,9,3,10,2,8,14,9,1,8,41,10,1,8,2,18,9,8,3,18,9,8,2,15,3,8,1,15,3,14,4,15,3,18,7,8,4,18,5,15,2,18,2,15,2,8,1,18,1,15,1,14,1,18,2,14,2,18,6,8,1,18,3,10,3,8,1,18,4,8,2,18,1,15,11,18,4,10,1,8,3,10,1,4,1,10,1,18,2,3,1,18,7,8,3,9,2,8,2,15,17,18,1,15,1,18,3,8,2,18,36,8,2,9,2,8,1,18,1,15,1,14,1,18,2,15,2,18,3,15,1,14,2,15,1,18,1,15,2,14,3,15,2,8,1,15,6,18,14,3,4,18,1,4,17,19,6,4,1,3,1,18,3,9,1,18,6,15,1,18,9,14,1,3,2,14,1,18,3,3,6,14,1,18,12,14,2,15,1,18,1,15,1,18,4,15,2,18,3,15,1,14,3,15,1,18,18,4,1,19,4,4,129,3,3,18,1,10,1,8,2,15,2,8,3,15,3,8,3,15,2,8,7,7,3,14,2,17,3,16,4,14,2,3,1,18,1,4,20,18,12,8,8,18,1,8,1,9,1,10,1,9,2,10,1,9,1,18,2,9,1,10,5,4,12,19,6,4,37,18,2,4,5,18,1,3,4,9,1,10,2,18,1,3,3,18,2,3,11,18,1,4,1,19,5,4,276,10,6,18,2,10,2,8,1,3,1,16,1,3,1,18,1,8,1,18,1,3,10,18,1,10,1,3,1,16,2,3,1,18,2,3,2,16,34,3,1,4,7,18,1,4,1,18,1,10,3,9,1,18,2,10,5,9,2,8,1,18,3,14,1,3,1,16,1,3,1,18,1,10,4,3,2,10,3,18,1,3,1,16,26,3,1,4,2,19,6,4,448,},
{4,406,19,2,4,4,18,2,10,7,8,2,18,2,8,1,10,3,18,2,8,1,10,2,18,2,10,2,18,2,10,2,18,1,3,1,18,2,3,2,14,1,8,1,10,2,8,2,10,1,4,3,19,7,4,156,18,1,10,2,8,1,10,3,8,2,10,1,8,1,3,2,16,8,3,5,18,2,10,1,18,2,10,1,18,2,3,1,16,2,3,1,9,1,10,3,8,1,10,4,18,1,14,2,18,2,10,1,9,1,10,21,18,2,8,1,18,3,10,3,18,1,3,1,16,1,3,4,18,2,3,3,18,2,10,10,8,3,10,4,8,2,10,46,8,1,10,82,8,1,10,38,8,3,10,16,8,1,18,1,14,1,15,1,8,4,15,1,14,2,15,1,14,3,15,1,8,3,15,1,3,1,16,2,14,1,18,1,8,1,10,5,8,1,15,6,8,1,10,2,8,1,15,3,8,1,10,4,9,1,18,1,15,9,8,2,10,1,9,1,8,1,15,1,14,1,3,2,14,2,15,9,8,5,10,16,8,2,10,5,8,3,10,58,4,1,10,1,4,9,19,6,4,12,19,3,4,35,19,12,4,10,19,3,4,5,10,2,8,2,10,6,8,5,10,4,9,2,18,2,9,1,10,3,8,26,10,3,8,4,15,1,18,1,8,4,9,2,8,1,18,3,8,1,10,4,9,1,18,2,10,4,9,1,8,1,18,5,8,1,9,2,8,1,18,1,8,7,18,3,8,3,18,3,8,4,18,8,8,12,18,13,8,2,18,3,8,5,18,5,4,8,18,3,8,1,10,3,8,16,9,3,10,1,9,1,8,23,10,4,8,33,18,1,15,3,8,8,15,8,8,2,15,4,8,2,15,2,14,3,15,2,8,2,15,6,8,6,15,9,8,2,14,2,15,2,14,2,15,4,18,4,14,1,18,1,8,1,10,1,8,1,18,1,14,1,3,1,18,2,8,2,15,12,18,4,10,1,8,4,10,3,18,8,8,2,9,1,10,3,8,2,18,1,15,4,18,1,15,11,8,4,18,1,9,2,8,1,18,6,8,4,18,25,8,1,9,3,8,1,18,1,15,2,18,2,15,1,18,1,8,2,18,2,15,2,18,3,15,2,14,2,15,2,8,1,15,8,18,1,15,1,18,4,15,1,18,1,8,2,18,2,14,1,3,1,16,1,3,2,18,1,4,16,19,5,4,2,3,1,18,2,9,2,18,3,9,2,18,1,15,2,18,8,14,1,3,3,14,1,18,3,3,5,18,2,9,1,18,8,9,1,18,1,3,2,14,1,15,1,14,2,18,4,15,1,18,4,15,1,14,1,15,1,18,4,9,1,18,14,4,1,19,4,4,128,18,1,3,1,16,2,18,1,10,1,8,1,15,3,8,2,15,5,8,8,15,1,7,3,14,1,6,1,17,2,16,8,3,2,18,2,4,11,18,3,4,1,18,2,4,1,18,12,8,12,9,2,10,3,9,7,10,1,4,12,19,6,4,40,19,3,4,1,18,1,3,4,9,1,10,2,18,1,3,2,18,1,10,1,18,2,3,2,18,3,3,6,4,1,19,5,4,280,10,2,18,2,10,3,18,1,3,2,18,1,10,1,18,1,14,1,3,5,16,1,3,2,18,1,10,2,18,1,16,2,3,1,18,1,3,4,16,33,3,1,4,10,10,2,9,1,18,3,10,11,18,1,3,1,16,2,3,1,10,3,9,1,3,2,18,1,10,1,18,2,10,1,3,1,16,5,3,4,16,16,3,1,18,1,4,2,19,5,4,448,},
{4,411,9,3,8,1,10,5,8,1,18,5,10,2,18,3,8,1,10,1,8,1,18,3,8,1,18,3,3,2,16,1,3,4,18,1,8,2,18,1,3,2,18,1,10,1,4,2,19,6,4,158,18,1,10,9,8,1,3,1,16,4,3,5,18,2,10,4,18,3,10,2,18,1,3,1,16,2,3,1,18,1,10,2,8,2,10,4,8,1,18,6,10,7,18,3,10,10,8,1,3,2,18,1,10,2,9,1,18,3,3,1,16,3,3,5,16,1,3,2,18,1,10,8,9,1,8,5,10,41,8,2,10,6,8,3,10,53,8,3,10,6,8,1,10,78,8,1,18,1,14,1,8,5,15,1,14,1,15,1,8,2,15,2,8,4,10,1,8,1,14,1,3,1,14,2,18,1,8,7,10,2,8,4,10,1,9,1,15,2,8,1,10,6,15,1,14,4,15,7,8,4,14,2,3,3,14,6,15,3,8,7,10,23,8,1,10,64,4,7,19,5,4,50,19,12,4,15,10,15,8,4,9,1,10,2,9,5,10,3,8,43,18,2,8,1,10,4,8,1,18,2,9,1,10,2,9,1,8,1,18,5,8,1,9,4,8,1,18,9,8,1,9,2,8,12,18,5,8,11,18,3,8,5,18,4,8,3,18,7,8,1,18,3,3,1,18,1,4,7,18,5,8,22,9,2,8,24,10,2,8,36,15,3,8,6,15,9,8,2,15,3,8,4,15,2,14,1,15,3,8,2,15,6,8,5,15,10,8,1,15,1,14,2,15,4,18,3,15,1,18,2,8,1,18,1,14,1,18,1,8,1,10,1,8,1,18,1,14,1,3,1,18,2,8,2,18,1,15,11,18,4,10,2,8,3,10,4,18,7,8,9,18,4,15,14,8,2,9,3,18,5,9,3,10,1,9,2,8,1,18,25,8,1,9,2,18,2,15,2,18,4,8,2,18,8,15,3,18,1,15,12,18,2,15,1,18,2,8,2,18,3,14,1,3,4,18,3,4,14,19,5,4,2,18,3,9,3,18,1,9,3,18,1,15,2,18,9,14,2,3,1,14,1,18,4,3,4,18,4,3,3,18,6,3,2,14,2,3,1,14,1,18,17,8,1,18,4,8,1,18,8,4,1,19,4,4,128,3,2,16,1,3,1,8,1,10,1,8,1,15,2,8,4,15,2,8,8,15,2,7,2,14,2,17,2,16,11,3,3,18,1,4,6,10,3,9,1,18,2,9,3,18,1,9,1,18,12,8,13,9,1,10,5,9,1,18,4,10,1,4,13,19,5,4,38,19,5,4,2,18,1,3,2,18,1,10,3,18,4,4,2,18,4,4,1,18,1,3,6,4,1,19,5,4,287,18,1,3,2,8,1,10,1,8,1,18,2,14,2,3,2,16,1,3,2,18,1,10,2,18,1,16,2,3,1,18,1,3,4,16,32,3,2,4,10,10,2,18,4,10,4,9,3,10,4,9,1,18,1,3,3,18,1,10,3,3,1,16,2,3,1,10,1,18,1,10,1,18,1,3,4,16,1,3,2,18,2,3,2,16,12,3,3,18,1,4,2,19,5,4,448,},
{4,411,10,1,8,2,10,5,8,1,18,6,10,2,18,1,3,1,18,4,3,7,16,4,3,3,18,2,14,1,3,3,18,1,10,1,4,2,19,6,4,158,18,2,8,2,10,4,8,2,10,1,3,1,16,3,3,1,18,5,10,1,8,1,10,4,18,1,3,2,18,1,10,1,9,1,3,1,16,3,3,1,18,1,10,8,8,3,18,3,9,1,10,6,18,3,10,10,8,1,3,2,18,1,10,2,18,1,3,4,16,3,3,1,16,6,3,2,10,9,8,4,10,41,8,3,10,6,8,3,10,53,8,4,10,5,8,2,10,5,8,4,10,39,8,2,10,27,8,1,18,2,8,2,10,2,8,5,10,1,8,6,10,2,8,1,14,8,18,1,8,1,10,3,9,1,8,4,15,1,14,2,8,1,10,5,8,1,15,1,14,1,3,1,14,2,15,2,8,1,15,1,14,3,15,1,8,2,15,1,14,2,3,5,14,4,18,1,8,1,15,1,18,1,8,2,18,1,15,1,18,1,8,2,10,86,18,1,4,6,19,6,4,50,19,12,4,14,10,10,8,1,10,6,8,3,9,2,10,4,9,1,10,5,8,19,18,1,8,3,10,2,8,4,10,1,8,12,18,2,9,1,10,4,9,1,8,5,18,5,8,1,9,1,10,2,9,4,18,8,8,1,9,2,10,1,9,1,8,16,18,8,8,3,18,3,8,13,18,2,8,1,18,3,8,1,18,2,3,2,18,1,4,6,10,1,9,1,18,4,8,21,9,3,8,5,9,2,10,4,8,53,18,3,8,4,18,1,15,3,18,3,15,2,8,10,15,5,8,3,18,5,8,5,15,1,18,1,15,15,18,1,8,1,18,5,8,2,18,3,8,1,18,10,15,10,14,1,18,3,10,4,8,5,10,2,18,5,8,13,15,1,14,2,15,3,8,1,18,2,15,4,18,1,8,1,9,3,8,1,18,5,9,1,10,5,9,1,18,26,8,2,18,8,8,3,18,12,15,9,18,6,8,3,18,4,3,5,14,1,18,2,4,15,19,3,4,2,18,3,9,7,8,1,18,27,3,6,18,3,14,1,3,1,14,4,18,8,9,1,18,13,8,1,18,8,4,1,19,4,4,127,18,1,3,4,8,3,15,2,8,14,15,1,14,3,17,1,16,15,3,2,18,1,4,6,10,1,9,2,8,1,18,2,8,1,9,1,8,3,18,12,8,9,9,1,8,1,18,2,9,1,10,5,9,1,18,5,4,13,19,5,4,38,19,5,4,3,18,1,3,1,18,2,10,2,4,7,18,1,4,4,3,5,18,1,4,2,19,4,4,277,19,4,4,7,3,2,8,1,10,2,8,1,18,2,14,1,3,4,18,1,9,1,10,2,18,1,3,1,16,1,3,6,16,32,3,1,18,1,4,10,10,2,18,3,9,1,10,3,9,1,18,2,9,1,10,6,18,1,3,2,18,1,10,3,3,1,16,2,3,1,9,2,10,2,18,1,3,6,10,3,3,1,16,9,3,4,18,3,4,3,19,3,4,449,},
{4,410,18,1,10,7,18,4,8,2,18,1,8,2,10,1,18,1,3,1,18,2,3,4,16,9,3,1,16,1,3,7,18,1,10,1,4,2,19,6,4,158,18,3,10,1,8,1,10,3,8,2,10,1,18,1,3,4,18,1,10,7,18,1,3,1,18,1,3,3,18,3,3,1,16,3,3,1,18,1,10,10,8,1,18,4,10,16,8,1,10,3,3,1,16,1,3,1,10,2,18,1,16,6,3,1,16,7,3,2,18,1,10,9,8,1,10,43,8,2,10,7,8,2,10,5,8,2,10,47,8,1,18,2,8,1,10,5,8,2,10,5,8,5,10,17,8,3,10,18,8,1,18,1,8,1,10,27,8,1,18,1,8,2,10,2,8,4,10,2,8,5,10,3,8,1,18,1,14,3,3,3,14,1,15,1,8,1,10,2,8,1,15,2,8,3,15,1,3,2,15,1,9,1,10,2,9,1,8,2,15,1,14,1,3,1,14,2,15,1,18,1,8,1,15,1,14,4,15,1,18,1,15,1,14,2,3,1,16,3,3,1,14,4,8,2,15,2,18,2,15,2,18,1,8,2,10,85,4,8,19,6,4,51,19,11,4,14,10,18,8,3,9,1,10,4,9,2,10,5,8,13,10,2,8,3,18,1,8,3,10,2,8,3,10,2,9,1,8,1,10,1,9,1,8,3,9,1,8,4,18,2,10,6,9,1,8,2,18,6,8,1,9,2,10,2,9,2,10,1,9,1,8,1,18,1,9,2,8,1,18,2,8,3,9,1,10,1,9,1,8,6,18,2,8,2,9,1,8,6,18,11,8,9,18,4,8,6,18,2,8,1,18,5,4,6,10,1,9,1,18,4,8,20,9,1,10,3,8,5,10,6,8,40,10,3,8,12,18,1,8,5,18,1,15,1,18,2,8,2,18,2,8,10,15,5,8,15,15,14,8,4,18,4,8,2,18,15,15,8,18,1,14,1,18,3,10,4,8,6,10,1,18,6,8,4,18,1,8,3,9,1,8,3,15,1,14,3,15,2,8,3,15,5,8,2,9,1,18,7,9,1,10,4,9,1,8,1,18,26,8,2,18,6,8,1,18,14,15,1,18,3,15,5,18,13,15,1,18,1,14,1,3,5,18,2,4,20,18,4,9,5,8,3,18,17,8,1,9,1,8,1,18,6,14,6,15,1,18,2,14,2,18,2,15,2,18,6,9,3,18,17,9,2,18,3,4,1,19,4,4,120,19,2,4,5,3,2,16,1,3,1,18,1,8,3,15,1,8,14,15,2,14,2,17,1,16,16,3,2,18,1,4,6,10,1,8,2,18,4,9,1,8,3,18,12,8,11,18,2,9,1,10,5,9,1,18,5,4,13,19,5,4,39,19,6,4,2,18,3,4,14,3,4,18,1,4,4,19,3,4,274,19,7,4,7,18,3,10,3,18,2,3,2,18,5,8,1,10,1,18,1,3,10,16,29,3,2,4,11,10,3,9,2,10,4,9,4,10,6,18,1,3,3,9,1,10,2,18,1,3,3,18,1,10,3,18,1,3,6,18,1,4,2,3,1,16,6,3,3,18,2,3,2,18,4,4,454,},
{4,409,18,3,10,6,8,1,18,2,8,1,10,2,18,1,8,1,10,1,8,1,3,4,16,10,3,6,16,1,3,1,14,1,18,3,10,1,4,3,19,5,4,159,18,3,10,5,8,2,10,1,18,1,3,2,18,4,10,3,18,2,3,11,16,3,3,1,18,4,10,1,8,1,18,2,10,3,8,1,18,4,10,15,8,2,10,3,3,2,18,3,3,1,16,5,3,1,16,8,3,1,18,1,8,1,10,53,8,2,10,13,8,3,10,48,18,2,8,1,10,14,8,3,10,18,8,2,10,18,8,2,10,18,8,6,10,5,8,3,10,3,8,9,10,6,8,1,15,1,14,1,3,4,14,1,8,2,18,1,14,3,8,3,15,1,3,2,14,1,8,3,15,1,8,1,9,1,8,1,15,1,14,3,15,1,8,2,15,1,14,1,3,2,14,2,15,2,14,2,3,5,14,3,15,1,8,2,15,1,14,2,15,2,18,3,8,1,10,83,18,2,4,8,19,5,4,77,10,18,8,3,10,5,9,2,10,7,8,11,10,4,8,5,10,2,8,4,10,1,8,1,9,1,10,1,9,1,8,1,18,1,8,1,9,1,8,2,10,1,9,1,18,2,10,7,9,1,8,1,18,4,8,1,9,2,8,1,9,1,10,2,9,2,10,1,9,1,8,1,18,1,9,2,8,2,9,1,8,4,9,1,8,2,18,7,8,2,9,1,10,3,8,3,18,11,8,8,18,6,8,2,10,2,8,1,18,2,8,2,18,4,4,6,10,1,9,1,18,3,9,1,8,1,10,1,8,7,18,2,8,8,9,2,10,3,9,1,8,2,9,1,8,1,10,2,9,1,10,1,9,1,8,38,18,1,8,2,10,3,8,5,10,2,8,11,18,3,8,3,18,2,8,11,15,4,8,23,15,2,8,2,15,2,8,5,18,3,8,3,18,12,8,2,15,7,18,2,3,1,18,2,10,4,8,8,10,1,18,5,8,7,10,3,8,2,14,4,15,3,8,4,15,4,18,9,8,1,9,5,18,28,8,1,18,5,8,3,18,6,15,3,18,4,15,1,18,3,15,4,18,16,14,1,3,6,18,2,4,18,18,5,9,5,8,4,18,16,8,7,18,2,15,2,14,3,15,2,14,3,18,10,9,4,18,6,14,2,18,9,10,2,18,2,4,2,19,3,4,121,19,2,4,4,3,4,18,1,10,1,8,3,15,1,8,14,15,1,14,2,17,1,16,17,3,2,18,2,4,5,18,7,8,5,18,4,8,1,18,7,8,10,18,2,9,2,10,4,9,1,18,5,4,56,19,8,4,18,3,2,18,4,4,4,19,1,4,275,19,8,4,6,18,4,10,2,18,1,14,1,3,1,18,1,10,3,8,1,18,2,8,2,18,3,3,4,18,1,10,2,3,1,16,28,3,1,18,1,4,11,10,9,9,2,18,2,10,7,18,1,3,2,18,1,10,3,18,1,3,2,18,1,10,3,18,1,3,6,18,1,4,2,18,1,3,3,16,3,3,1,18,3,3,3,18,4,4,454,},
{4,409,18,3,10,3,8,3,10,6,18,2,8,1,14,1,16,3,3,1,16,9,3,1,8,1,10,1,8,1,3,3,16,1,3,1,18,1,10,3,18,1,4,2,19,5,4,161,18,2,8,1,10,1,8,1,10,6,18,8,3,3,16,3,3,2,18,2,3,5,16,1,3,7,14,1,3,1,14,1,10,4,18,5,10,15,8,2,10,1,18,1,3,2,18,2,3,2,16,14,3,1,18,1,10,15,8,1,10,38,8,2,10,6,8,1,10,6,8,3,10,48,18,3,8,1,10,73,8,5,18,1,8,2,10,4,8,3,10,3,8,9,10,2,8,1,10,4,9,1,8,1,14,2,3,1,14,2,15,2,3,3,14,1,8,1,10,2,8,1,14,2,15,5,8,1,10,2,8,1,14,3,15,1,8,2,15,1,14,1,3,2,14,2,15,3,14,2,3,2,14,4,15,1,8,2,18,1,15,1,14,3,18,3,8,2,10,17,8,2,10,57,4,13,19,1,4,84,10,3,9,1,18,2,8,1,9,1,10,6,8,1,10,5,8,1,10,6,9,2,10,8,8,10,10,5,8,13,10,1,8,2,18,1,8,1,10,5,18,2,9,1,10,6,9,1,8,1,18,4,9,3,18,2,8,2,18,2,9,2,18,2,9,2,8,2,9,1,8,1,18,2,8,3,18,8,8,2,9,1,10,3,8,3,18,14,8,2,18,10,8,1,10,2,8,1,18,2,8,1,18,5,4,6,10,1,18,3,9,1,10,3,8,5,10,1,8,1,18,1,8,9,9,1,10,5,9,1,10,1,9,2,8,43,18,1,8,1,10,5,8,5,10,2,8,10,18,2,8,17,15,4,8,23,15,2,8,2,15,2,8,5,18,1,15,1,18,1,8,3,18,12,8,1,18,1,15,8,18,1,3,1,18,2,10,4,8,8,10,1,9,1,18,4,8,7,10,2,8,2,15,1,14,5,15,3,8,5,15,4,18,10,8,1,18,35,8,4,18,6,15,1,14,1,15,1,18,4,15,1,18,1,8,1,18,2,15,2,18,3,8,3,18,4,15,2,18,5,14,1,3,2,14,1,18,2,3,2,18,2,4,11,18,12,9,4,18,2,8,3,18,1,8,1,18,15,8,5,18,9,14,2,18,2,8,1,9,1,18,6,9,5,18,1,9,1,18,15,9,2,18,2,4,2,19,3,4,121,19,1,4,4,18,1,3,4,18,1,10,1,8,3,15,2,8,12,15,2,14,2,17,2,16,6,17,2,16,7,3,1,14,2,18,2,10,2,18,1,4,1,10,1,18,1,15,1,18,5,8,3,9,1,8,6,18,7,8,9,9,3,18,1,9,10,18,5,4,14,19,8,4,30,19,9,4,3,18,1,4,9,19,3,4,1,18,2,4,1,18,4,4,279,19,8,4,12,18,3,8,1,10,3,8,1,18,2,8,2,18,4,3,3,18,1,10,2,18,1,3,1,16,27,3,1,18,1,10,20,9,2,18,2,4,8,18,1,3,1,18,1,10,4,3,2,18,1,10,3,3,5,16,1,3,1,18,1,4,4,18,1,3,2,16,2,3,1,18,2,3,2,16,1,3,2,18,2,4,3,19,4,4,448,},
{4,410,18,1,10,2,8,1,10,1,8,4,10,4,8,1,18,1,3,1,14,1,3,1,16,2,3,5,16,3,3,2,18,1,10,1,9,1,18,1,8,2,18,1,3,3,8,1,10,1,8,1,18,1,4,2,19,6,4,161,18,3,10,1,8,1,10,1,8,4,10,1,18,7,3,2,16,6,3,5,16,10,3,3,14,1,10,3,18,7,8,1,10,9,8,1,10,4,18,6,3,2,16,15,3,1,18,2,10,53,8,2,10,5,8,2,10,5,8,4,10,35,8,3,10,10,8,1,18,1,8,1,10,74,8,8,10,4,8,3,10,3,8,1,15,2,8,6,10,2,8,2,10,5,8,1,15,1,14,5,3,1,14,2,18,1,8,1,10,2,9,1,15,2,8,2,15,3,8,1,10,2,8,1,15,1,14,2,15,1,8,2,15,1,14,2,3,1,14,2,15,2,14,9,15,1,8,2,18,2,15,1,14,1,15,1,8,2,18,2,8,2,10,16,8,3,10,30,8,2,10,23,4,11,19,5,4,77,19,1,4,2,19,1,4,1,10,3,9,1,18,2,8,1,9,1,8,1,10,6,8,1,10,12,9,2,10,8,8,11,10,4,8,7,10,2,8,9,10,4,9,1,18,2,8,1,9,1,8,1,9,1,10,3,9,1,18,4,8,1,9,3,18,10,8,4,9,1,8,1,18,3,8,2,18,8,8,3,10,2,9,1,8,2,18,15,8,2,18,10,8,1,10,1,8,3,18,1,8,1,18,5,4,6,10,1,9,1,18,2,10,4,8,1,18,2,8,1,10,2,8,11,9,1,10,9,8,43,18,1,8,1,10,5,8,10,18,2,8,5,18,2,8,19,15,2,8,7,15,5,8,1,15,1,18,2,8,11,15,2,8,5,18,1,14,2,8,3,18,11,8,2,18,1,15,8,18,4,10,3,8,5,10,1,8,2,10,2,9,1,18,3,8,8,10,1,8,2,18,1,15,1,14,6,15,2,18,1,8,4,15,4,18,41,8,1,18,4,8,2,9,1,8,1,18,6,14,2,15,1,18,21,15,1,18,6,14,1,3,2,18,3,14,1,3,3,18,1,4,9,18,14,9,3,18,2,8,1,9,2,8,4,18,9,8,1,18,4,8,8,18,3,8,1,18,5,9,2,8,1,18,3,8,1,9,5,8,2,9,3,18,11,3,1,18,5,4,2,19,3,4,126,3,2,16,1,3,1,18,1,10,2,8,3,15,1,8,12,15,3,14,3,17,13,16,3,14,3,18,3,10,4,18,7,8,9,18,7,8,3,18,3,8,4,9,1,10,1,9,2,18,1,9,1,18,3,9,5,18,5,4,14,19,10,4,28,19,10,4,12,19,3,4,5,18,1,3,1,18,1,4,279,19,8,4,12,18,1,8,2,10,4,18,3,10,1,8,1,18,4,3,3,18,1,10,3,18,1,3,1,16,24,3,3,18,1,10,20,9,1,10,1,18,2,4,9,18,3,10,1,18,1,10,1,18,1,3,2,18,1,10,2,3,4,16,3,3,1,18,1,4,4,18,1,3,1,16,3,18,2,3,1,16,3,3,1,18,1,4,3,19,5,4,448,},
{4,404,19,5,4,1,9,2,8,3,10,5,18,4,3,7,18,1,3,6,18,1,10,3,18,2,8,1,10,2,18,3,10,3,18,1,4,2,19,6,4,161,18,1,3,1,18,1,10,2,8,1,18,8,8,1,10,2,18,1,3,2,16,8,3,1,16,12,3,3,18,1,10,2,18,1,3,1,18,8,8,1,10,5,8,3,10,4,18,1,3,1,18,1,10,2,18,1,3,1,16,2,3,1,16,8,3,1,16,3,3,5,18,1,10,3,9,1,10,11,8,2,10,34,8,3,10,4,8,1,10,6,8,4,10,5,8,1,10,42,8,3,10,4,18,1,10,5,8,2,10,57,8,2,10,2,8,9,10,3,8,8,14,2,8,12,10,3,9,1,8,1,15,1,14,5,18,1,8,1,10,1,9,2,10,2,8,2,10,2,8,2,15,1,8,4,15,1,14,2,15,1,18,1,8,2,14,8,15,2,14,6,15,1,8,1,18,2,8,2,18,2,8,2,18,3,8,2,10,14,8,4,10,29,8,4,10,22,4,6,19,10,4,76,19,5,4,1,10,4,9,1,10,5,8,1,10,4,8,1,10,22,8,1,10,1,8,10,10,4,8,2,18,2,8,2,10,2,8,9,10,4,9,1,18,5,8,1,9,3,18,5,8,4,18,12,8,3,18,3,8,3,18,4,8,11,18,5,8,5,18,6,8,2,18,10,8,8,10,2,18,3,4,1,10,6,18,1,9,1,10,3,8,1,18,3,8,2,10,1,9,3,8,9,9,3,10,6,9,1,8,45,10,4,8,10,18,3,8,3,18,4,8,3,18,1,8,17,15,16,8,9,15,4,8,4,15,1,14,2,18,1,8,1,18,12,8,2,18,1,15,1,8,1,15,3,14,2,15,1,18,6,10,1,8,5,10,5,18,3,8,12,15,1,14,8,15,2,18,1,8,3,18,1,15,3,18,20,8,2,18,25,8,1,9,2,18,6,15,1,14,1,15,1,18,2,8,1,18,20,8,2,18,2,15,1,14,1,3,1,14,1,18,3,14,1,3,4,4,8,18,14,8,1,9,3,18,2,8,1,9,3,8,4,18,8,8,1,18,1,15,2,18,1,8,13,18,3,8,1,18,3,8,2,9,5,8,1,18,2,8,2,9,2,8,1,18,5,8,3,18,2,3,2,18,3,4,3,19,3,4,125,18,1,3,1,16,2,3,1,18,1,8,18,15,1,14,6,17,9,14,3,17,1,16,1,17,1,14,1,15,2,14,2,18,1,10,3,9,1,18,6,8,9,18,6,8,5,18,2,8,4,9,2,10,2,9,1,18,1,9,1,18,4,9,2,18,1,9,1,18,3,9,1,18,1,4,14,19,10,4,30,19,8,4,12,19,5,4,3,18,1,3,1,4,281,19,7,4,12,10,5,18,4,8,1,10,2,3,8,18,1,9,1,10,2,18,1,3,1,16,22,3,1,18,4,9,1,10,22,4,11,18,2,10,1,18,1,10,1,18,1,3,2,18,1,10,2,18,1,3,3,16,3,3,1,18,1,4,5,3,1,16,3,3,1,14,1,16,4,3,1,18,1,4,2,19,6,4,448,},
{4,404,19,6,4,1,18,1,8,2,10,6,18,2,3,2,18,5,10,2,8,1,18,1,8,2,10,7,9,1,18,1,9,1,8,1,10,7,4,3,19,6,4,162,18,1,3,1,18,11,8,1,10,3,18,1,3,1,16,21,3,3,18,3,3,2,18,3,3,1,18,1,3,3,18,1,10,5,8,1,18,2,10,4,18,3,10,2,3,1,16,2,3,3,16,6,3,2,16,7,3,2,18,1,9,1,8,1,18,2,10,8,8,3,10,37,8,2,10,10,8,2,10,2,8,1,10,3,8,2,10,7,8,3,10,45,8,2,10,58,8,7,10,3,8,6,18,1,15,3,8,3,14,2,8,1,10,1,8,5,15,2,14,2,15,1,8,1,10,3,9,1,8,1,18,1,15,1,14,1,18,1,8,1,10,2,9,1,8,3,10,6,8,2,15,2,8,2,15,2,14,1,15,2,8,2,15,1,14,7,15,2,14,7,15,1,18,1,8,7,18,1,15,1,18,1,8,2,10,15,8,3,10,17,8,2,10,10,8,4,10,22,4,6,19,10,4,76,19,5,4,1,10,15,8,1,10,21,8,2,10,1,8,12,10,3,8,5,10,2,8,1,18,1,8,5,9,1,8,1,10,4,18,7,9,2,18,6,8,2,18,6,9,1,8,1,18,2,8,2,18,2,8,2,18,2,8,5,18,3,8,10,18,5,8,9,18,4,8,3,18,9,8,1,10,1,8,2,10,2,8,1,10,15,9,2,8,1,18,4,8,3,9,6,8,8,9,1,10,7,8,47,10,2,8,3,18,2,8,2,10,1,8,2,18,4,8,2,18,4,8,3,18,2,8,16,15,16,8,4,15,1,8,4,15,4,18,1,8,3,18,1,14,2,18,1,8,1,18,1,8,6,18,1,15,1,14,1,18,2,8,2,18,2,8,2,15,2,14,3,18,6,10,1,8,5,10,5,18,2,8,1,9,1,8,9,18,1,15,2,14,2,15,11,18,1,15,3,18,2,8,1,18,18,9,2,8,1,18,24,8,1,9,2,8,1,18,5,15,3,18,2,8,1,18,19,8,3,18,3,15,1,14,2,18,3,14,1,3,4,4,7,18,15,8,1,9,3,18,2,8,1,9,2,8,6,18,4,8,4,18,1,15,2,8,18,18,3,8,2,9,1,10,2,9,1,8,1,18,1,15,2,18,2,8,5,18,1,8,5,18,2,3,2,18,2,4,4,19,2,4,125,18,1,3,1,16,3,14,1,8,17,15,2,14,9,17,7,14,3,17,1,16,1,17,1,14,1,15,2,14,2,18,1,10,3,8,1,18,4,8,6,18,10,8,6,18,2,8,4,9,2,10,1,9,4,18,8,9,1,18,1,9,3,18,1,4,12,19,11,4,31,19,7,4,12,19,7,4,303,10,4,18,1,3,2,18,1,8,1,10,3,14,1,3,9,10,3,18,1,3,3,16,19,3,1,10,3,8,1,18,1,10,21,4,14,10,3,18,1,3,2,18,1,10,3,14,1,3,2,16,3,3,2,18,1,4,4,18,1,3,3,18,2,3,1,16,3,3,1,18,1,4,2,19,6,4,448,},
{4,391,19,6,4,7,19,6,4,2,8,2,10,6,8,1,18,3,10,2,8,1,10,4,8,2,10,2,8,2,10,2,8,1,18,1,10,2,8,3,10,3,4,5,19,8,4,163,18,3,4,2,10,1,8,1,18,3,8,2,10,4,18,1,3,1,16,24,3,5,18,3,3,1,18,1,3,1,16,2,18,1,10,5,18,1,14,1,18,1,10,8,18,1,3,1,16,1,3,9,16,11,3,1,18,5,8,1,10,2,8,3,10,2,8,3,10,49,8,1,10,3,8,1,10,4,8,1,10,7,8,3,10,64,8,2,10,40,8,1,18,3,8,2,10,2,8,6,18,2,14,3,8,1,10,1,8,1,15,2,8,1,10,1,8,4,15,2,14,4,18,1,8,1,10,2,9,1,8,3,18,1,8,1,10,2,8,1,15,1,14,2,8,1,9,1,10,5,8,2,15,2,18,1,8,2,15,8,14,6,15,3,14,6,15,1,8,8,18,1,15,1,18,2,8,1,10,15,8,3,10,16,8,4,10,9,9,2,8,1,10,23,4,6,19,10,4,71,19,10,4,1,10,37,8,2,10,3,8,4,10,1,8,5,10,4,8,4,10,2,8,7,9,1,8,1,10,4,18,7,8,1,18,11,8,1,9,1,18,2,9,2,18,2,9,2,18,2,8,2,18,2,8,2,9,2,8,2,18,1,8,10,18,6,8,10,18,1,8,6,18,8,8,1,10,1,8,1,10,19,9,1,18,4,8,3,18,1,8,2,9,4,8,8,9,2,10,10,9,1,8,47,18,4,8,1,10,1,8,2,18,3,8,3,18,4,8,3,18,2,8,16,15,14,8,6,15,1,8,4,15,1,14,2,15,1,18,1,8,3,18,1,14,2,18,1,8,8,18,1,15,1,14,1,18,2,8,1,18,2,15,1,8,2,15,1,14,4,18,6,10,1,8,6,10,4,18,2,8,1,10,1,8,4,18,2,8,1,18,2,15,3,14,1,15,14,18,1,8,4,18,7,8,3,18,8,9,2,8,1,18,7,8,1,18,17,9,2,8,1,18,6,15,2,18,21,8,3,18,10,14,2,3,3,4,6,18,16,9,2,10,1,9,1,8,14,18,1,8,1,18,3,15,2,18,1,8,18,18,2,8,3,9,4,8,1,15,4,18,5,8,1,18,1,8,3,18,6,4,133,3,1,16,3,3,1,18,1,8,2,15,1,8,3,15,2,8,4,15,2,8,1,15,2,14,11,6,1,17,5,6,1,14,3,17,1,16,1,17,1,14,2,15,1,18,3,10,3,8,1,18,4,8,2,18,2,8,2,18,10,8,7,18,1,8,4,9,2,18,1,9,7,18,4,9,4,10,1,9,1,18,2,10,3,18,5,4,3,19,12,4,49,19,8,4,306,18,1,3,1,14,1,18,1,8,1,10,3,18,1,3,4,18,2,3,3,18,1,10,1,9,1,18,1,3,5,16,16,3,1,18,1,10,1,18,1,10,2,18,1,10,4,4,23,19,1,4,10,10,2,18,2,10,3,18,1,3,4,16,1,3,2,18,1,10,6,9,1,10,3,18,1,3,3,18,1,4,3,19,6,4,448,},
{4,390,19,8,4,6,19,6,4,2,9,1,10,11,9,2,10,2,8,2,10,4,8,4,10,1,18,3,10,1,8,3,10,2,4,5,19,9,4,168,10,2,8,1,10,9,3,2,16,25,3,2,18,1,8,2,18,2,8,1,18,1,16,2,18,1,10,5,18,1,14,2,8,1,10,7,3,3,18,1,3,1,16,2,3,2,18,1,3,2,16,10,3,4,18,3,8,1,10,6,8,1,18,2,10,49,8,2,10,3,8,1,10,77,8,4,10,40,8,1,18,2,8,3,10,1,8,8,15,1,14,3,8,1,10,2,8,1,15,1,8,6,15,1,14,4,15,1,18,1,8,2,9,1,10,3,8,2,9,1,10,1,9,1,14,1,3,2,14,1,15,1,8,1,10,4,8,2,15,3,8,1,9,2,8,1,15,9,14,6,15,2,14,2,15,2,14,2,8,2,18,1,8,2,10,2,8,1,18,3,8,2,10,16,8,2,10,16,8,3,10,35,4,7,19,9,4,16,19,6,4,49,19,6,4,2,19,3,4,1,10,19,8,4,10,12,8,4,10,4,8,3,10,2,8,5,10,4,8,3,10,1,8,7,9,1,10,1,9,1,10,3,9,1,18,19,8,2,18,2,9,2,8,2,9,2,18,6,8,1,9,3,8,2,18,1,8,6,18,8,8,3,18,1,8,4,18,5,8,6,18,8,8,3,10,6,18,2,10,12,18,4,8,3,18,2,8,1,9,2,8,9,9,2,10,2,9,3,10,7,9,1,8,47,18,3,8,1,10,2,8,1,18,2,8,5,18,2,8,5,18,1,8,16,15,3,8,17,15,2,8,1,10,1,8,1,15,1,14,3,15,1,8,3,18,1,14,2,18,1,8,8,18,1,15,1,18,3,8,2,15,2,8,3,15,1,14,2,18,7,10,1,8,6,10,3,8,1,18,2,8,1,9,2,8,2,18,3,15,9,8,5,15,3,14,2,15,2,8,2,9,1,8,1,18,7,8,2,9,1,8,1,18,8,8,2,18,16,15,1,18,9,8,3,18,6,15,2,18,21,8,2,18,5,8,1,18,3,8,1,18,1,15,1,14,2,3,1,18,2,4,3,18,18,8,1,9,1,10,2,8,5,18,3,8,7,18,3,15,2,18,1,8,7,15,3,8,6,18,1,8,2,18,2,8,5,9,1,8,2,18,1,15,3,18,3,8,4,9,1,8,2,18,3,4,135,18,1,3,1,16,2,3,1,18,1,8,1,9,1,8,1,15,1,8,2,15,1,7,1,15,2,8,2,15,5,14,9,7,2,14,2,6,1,17,4,6,1,14,2,17,1,16,3,14,2,15,1,18,1,8,1,10,4,8,2,18,3,8,2,18,2,8,1,18,10,8,7,18,3,8,3,9,1,18,3,8,1,9,1,8,1,9,1,10,2,18,3,9,3,18,1,9,1,10,2,18,2,10,2,18,2,9,3,10,1,4,3,19,4,4,2,19,7,4,48,19,9,4,305,18,4,8,1,10,3,18,1,3,2,18,4,3,3,18,1,10,1,18,6,3,1,16,12,3,4,18,1,8,1,10,9,4,16,19,2,4,4,19,8,4,4,18,1,10,1,18,2,10,4,3,2,14,1,18,1,3,2,18,1,8,1,18,1,9,1,10,10,18,2,4,4,19,6,4,448,},
{4,390,19,8,4,6,19,5,4,3,10,4,18,2,10,2,8,2,9,2,18,2,9,1,8,3,10,5,8,2,10,6,8,3,10,1,18,1,4,3,19,11,4,168,18,1,10,3,8,1,10,1,8,2,10,4,18,1,3,2,16,25,3,1,18,1,10,2,8,2,10,1,8,1,3,2,18,1,10,5,8,1,14,2,18,1,8,1,10,5,18,1,3,3,18,1,3,1,16,2,3,5,16,8,3,6,18,3,9,1,10,6,8,1,18,2,10,46,8,6,10,2,8,1,10,51,18,1,10,24,8,4,10,41,8,8,18,3,8,4,18,1,14,1,3,1,14,1,8,1,10,2,8,1,18,1,8,2,18,1,8,3,18,2,15,1,8,7,10,4,9,1,8,2,15,1,3,1,16,2,14,1,15,1,9,1,10,3,9,1,8,1,18,3,8,2,10,2,8,2,15,2,14,2,15,4,14,9,15,3,14,2,18,1,8,1,18,2,8,2,10,1,8,2,18,2,8,1,10,19,8,1,10,53,4,7,19,8,4,17,19,6,4,49,19,5,4,7,10,18,8,5,10,12,8,4,10,5,8,2,10,3,8,4,10,6,8,1,10,1,8,6,9,1,10,6,18,6,9,2,18,4,9,1,8,2,18,3,8,2,18,8,9,2,18,6,8,1,9,3,8,2,18,2,8,4,18,3,8,8,18,11,8,6,18,10,8,2,10,5,18,2,10,12,18,3,8,1,10,2,8,1,18,3,8,10,9,2,10,3,9,4,10,6,9,1,8,47,18,3,8,2,10,1,8,33,15,2,8,17,15,1,18,1,8,3,15,1,14,1,3,1,14,1,15,1,8,4,15,2,8,9,18,1,15,3,18,1,8,2,14,2,15,1,8,2,15,1,14,2,18,6,8,1,10,1,8,5,10,4,8,1,18,2,8,5,18,2,15,10,8,5,18,1,15,3,14,1,15,2,18,1,8,3,18,7,8,4,18,2,15,2,18,32,8,2,18,8,15,1,18,1,15,1,18,19,8,1,18,3,15,1,18,1,8,2,18,2,8,2,18,1,15,1,14,2,18,24,8,1,9,1,10,2,9,1,8,2,18,9,8,1,18,1,8,1,18,3,15,1,18,1,8,8,15,3,8,5,18,2,8,2,18,2,8,3,18,1,8,6,18,3,8,2,9,6,18,3,4,3,19,1,4,131,18,1,3,2,16,2,14,1,9,2,8,2,15,1,8,1,15,1,7,1,14,1,7,1,15,2,8,3,15,3,14,3,17,1,14,9,6,1,17,3,6,2,14,2,17,1,16,3,14,2,15,1,8,2,10,4,8,1,18,4,8,2,18,13,8,7,18,3,8,4,18,6,9,1,10,2,9,1,18,1,9,4,18,1,9,1,10,2,18,2,10,2,8,1,18,1,9,1,10,1,9,2,4,10,19,6,4,49,19,8,4,299,19,3,4,7,18,2,10,2,18,3,10,2,18,2,3,2,18,1,10,2,9,1,18,5,3,2,16,9,3,3,18,1,8,1,10,12,4,7,19,4,4,5,19,13,4,5,18,1,10,1,18,2,8,1,10,3,14,1,3,3,14,1,8,1,10,2,18,3,10,8,9,1,18,2,4,3,19,7,4,448,},
{4,390,19,8,4,6,19,5,4,3,18,1,10,2,4,1,18,1,4,1,10,2,18,7,9,1,10,4,4,1,10,3,9,1,4,3,10,2,4,1,10,2,9,1,4,5,19,10,4,169,18,1,10,2,18,1,8,1,10,2,8,1,10,6,18,1,3,4,16,21,3,1,18,1,10,6,18,2,10,7,8,1,14,2,18,1,8,1,10,4,18,1,3,1,18,3,3,1,16,2,3,3,16,10,3,6,18,2,10,1,9,1,10,6,8,3,10,45,8,3,18,1,8,6,10,19,8,3,10,53,8,3,10,44,8,1,10,4,8,2,18,3,8,3,10,1,8,1,14,3,8,1,10,2,8,1,18,1,15,2,8,5,18,1,8,4,18,1,15,1,18,1,8,1,10,3,8,1,9,1,8,1,18,1,14,1,3,1,16,1,3,1,14,1,15,1,8,6,18,3,8,6,15,1,14,3,15,1,18,2,15,1,14,2,15,1,14,11,15,1,8,1,18,1,8,2,10,3,8,4,10,12,8,3,10,3,8,3,10,51,4,9,19,4,4,20,19,7,4,48,19,5,4,7,10,17,8,5,10,14,8,2,10,6,8,2,10,3,8,4,10,6,8,6,10,7,9,1,18,12,9,1,10,2,8,1,18,2,8,1,10,2,18,6,9,4,8,1,18,5,8,2,9,2,8,2,18,8,8,3,18,1,8,4,18,14,8,4,18,11,8,4,10,6,18,1,10,9,9,1,18,2,9,1,10,2,8,1,18,3,8,11,9,1,10,3,9,8,10,1,9,3,8,47,18,1,8,36,15,3,8,16,18,1,15,1,18,1,8,3,14,1,16,2,3,1,14,1,15,1,8,3,15,1,18,1,8,3,18,1,8,2,15,6,14,1,15,1,8,2,14,2,15,1,8,2,15,1,14,1,15,1,8,2,18,4,10,1,8,3,10,7,8,1,10,1,8,1,18,2,8,3,18,1,15,1,14,3,15,1,18,1,8,2,15,4,18,1,8,3,18,2,15,6,18,16,15,1,18,39,15,1,18,4,15,3,18,24,8,2,18,2,8,2,18,1,15,1,14,2,18,14,8,1,9,2,18,8,8,1,10,2,8,1,18,4,8,1,18,14,8,2,15,2,8,4,15,4,8,4,18,1,8,3,18,2,8,3,15,2,8,10,9,2,10,2,9,2,18,3,4,2,19,3,4,129,18,1,3,4,14,1,15,1,9,2,8,2,15,1,7,3,14,2,15,1,8,5,15,2,14,2,17,2,14,9,17,4,6,2,14,1,17,1,16,3,14,3,15,1,8,1,10,5,8,1,18,4,8,2,18,7,8,1,18,5,8,6,18,15,9,8,18,1,9,1,10,2,9,2,10,1,9,1,18,2,8,1,10,1,9,1,10,1,4,10,19,6,4,50,19,7,4,299,19,4,4,7,18,2,10,1,18,2,10,4,18,4,10,2,9,1,18,6,3,2,16,7,3,1,18,4,10,1,18,2,10,2,18,1,10,5,4,8,19,23,4,6,10,1,18,1,3,1,18,1,10,3,18,1,3,3,14,1,8,1,10,2,18,4,10,7,18,3,4,2,19,8,4,448,},
{4,391,19,11,4,50,19,6,4,174,10,10,8,2,10,1,18,2,3,1,16,8,3,5,16,9,3,2,18,1,10,15,8,1,18,5,10,2,9,2,10,1,18,1,16,2,3,2,16,14,3,5,18,1,10,2,9,1,8,1,10,6,8,3,10,43,8,4,18,2,8,7,10,7,8,2,10,7,8,4,10,54,8,1,10,51,8,1,18,2,8,2,10,3,8,2,15,2,8,4,15,1,14,1,15,1,8,1,10,3,8,2,15,1,18,1,8,1,15,1,3,2,14,1,8,1,10,2,8,4,18,1,14,2,3,1,14,2,18,2,15,2,8,3,18,1,15,6,8,2,15,2,14,1,15,1,8,3,15,1,14,2,15,2,14,1,3,2,14,3,3,3,14,2,15,1,8,2,10,4,8,4,10,12,8,3,10,3,8,4,10,48,4,35,19,7,4,25,19,1,4,21,19,6,4,5,18,1,9,1,10,12,8,2,10,3,8,3,10,16,8,1,10,8,8,1,10,8,8,8,10,2,8,1,10,7,8,1,18,12,10,3,9,1,8,1,18,1,8,1,10,2,9,1,18,1,8,2,18,1,9,1,10,3,9,3,18,3,8,3,9,2,8,2,18,7,8,4,18,21,8,1,18,12,8,1,18,3,10,1,4,5,18,2,10,9,9,1,8,1,9,1,10,2,8,2,18,2,8,12,9,9,8,2,9,4,8,36,10,2,8,29,18,1,15,2,8,14,15,4,8,14,15,5,8,2,14,1,16,2,3,1,14,2,15,1,8,6,18,1,15,3,14,3,15,3,14,1,15,1,8,2,14,2,15,1,8,2,15,3,8,2,18,1,3,1,18,1,8,1,10,1,8,2,10,2,18,3,8,1,10,1,8,1,10,3,18,1,15,1,18,1,8,3,18,1,14,3,15,1,8,4,15,5,18,2,8,5,18,1,15,4,18,26,8,1,18,26,15,2,18,4,15,3,18,20,8,2,18,2,8,2,18,2,8,3,14,2,3,1,18,14,9,1,10,1,9,1,18,8,8,1,9,2,8,1,18,1,15,2,8,1,9,1,8,1,18,13,8,1,18,1,15,3,8,3,15,1,14,2,15,1,8,6,9,1,8,1,14,2,18,1,8,5,9,1,8,3,9,1,8,4,9,3,10,1,9,2,18,3,4,2,19,3,4,129,3,4,18,1,9,4,8,1,15,1,7,4,14,2,15,1,8,6,15,1,14,2,17,2,14,8,17,7,6,1,17,1,16,2,17,1,14,2,15,2,8,1,10,4,8,1,18,5,8,2,18,5,15,1,18,1,8,1,18,5,8,6,18,17,9,4,18,2,8,1,9,5,8,1,18,4,8,2,10,3,4,8,19,10,4,352,19,6,4,10,18,2,4,3,18,3,10,2,9,1,18,7,3,2,16,6,18,1,10,2,8,1,18,1,8,1,10,1,18,1,10,1,4,9,19,3,4,3,19,23,4,1,18,1,3,1,4,4,3,2,18,1,4,1,10,2,8,1,14,2,3,2,14,1,10,1,4,6,18,3,4,3,18,3,4,3,19,7,4,448,},
{4,395,19,7,4,14,19,1,4,14,19,3,4,1,19,4,4,4,19,3,4,6,19,6,4,174,10,1,8,1,18,2,8,1,10,5,18,1,8,1,10,2,18,1,3,1,16,8,3,5,16,10,3,2,18,2,10,6,8,1,18,3,10,3,8,1,18,2,14,1,3,2,18,1,10,4,18,1,16,2,3,2,16,15,3,4,18,4,8,1,10,7,8,3,10,43,8,12,10,7,8,1,10,8,8,3,10,35,18,1,10,72,8,3,10,5,8,2,15,1,8,4,14,3,8,1,10,3,8,2,15,1,14,1,15,1,14,1,3,2,14,1,8,1,10,2,8,5,15,1,14,4,15,2,14,1,15,1,8,4,15,1,14,5,15,4,14,1,15,1,18,1,8,2,18,1,15,4,14,6,3,2,14,1,15,2,8,2,10,6,8,2,10,5,8,2,10,6,8,3,10,3,8,4,10,2,8,1,10,31,8,2,10,6,4,42,19,8,4,22,19,8,4,13,19,8,4,5,9,1,10,13,8,2,10,3,8,3,10,7,8,2,10,16,8,1,10,6,8,5,10,3,8,1,10,3,8,1,10,7,18,2,9,1,10,1,9,1,18,1,9,4,18,3,9,1,10,2,9,1,8,2,9,1,10,3,9,3,8,1,9,1,10,3,9,1,10,1,9,1,8,1,18,1,8,5,9,1,8,2,18,7,8,3,18,40,4,6,18,2,10,8,9,2,8,22,9,3,8,8,9,1,8,1,10,2,8,13,10,1,8,4,18,2,8,13,10,3,8,21,18,1,8,6,18,1,15,2,8,13,15,6,8,14,15,5,8,1,14,1,16,2,3,1,14,2,15,1,8,6,18,1,15,2,14,5,15,2,14,2,8,2,15,1,14,1,15,2,8,2,15,1,18,1,8,2,18,3,10,5,18,5,8,2,10,2,8,1,14,2,15,1,8,2,18,1,15,1,14,2,15,1,18,1,8,4,15,6,18,1,8,5,18,2,15,1,14,2,18,18,15,1,14,1,15,2,14,1,15,1,18,29,15,2,18,5,15,1,18,22,8,4,18,3,8,2,18,1,14,2,3,1,18,14,9,1,10,1,8,1,18,8,8,4,18,1,15,1,18,2,9,1,8,1,18,13,8,2,15,2,18,1,8,3,15,4,8,2,15,2,8,4,15,2,18,1,8,5,9,2,8,6,9,6,18,4,4,2,19,3,4,129,3,4,10,2,9,1,8,2,15,3,7,1,15,1,7,1,15,2,8,7,15,1,14,2,17,1,14,9,17,7,6,1,17,3,14,3,15,2,8,1,10,3,8,2,18,4,8,3,18,13,8,6,18,9,9,1,18,7,9,1,10,1,9,2,18,2,8,1,9,5,18,5,8,1,9,1,10,3,4,8,19,12,4,351,19,5,4,18,18,1,10,1,9,1,18,1,9,1,18,3,10,3,18,1,3,4,16,1,3,1,18,1,10,3,18,2,10,2,4,7,19,7,4,2,19,24,18,1,3,2,4,3,18,1,3,1,4,2,10,2,8,1,18,2,14,1,3,2,18,1,4,7,18,2,4,9,19,6,4,449,},
{4,396,19,6,4,5,19,11,4,11,19,23,4,180,10,1,18,1,3,2,14,1,8,1,10,2,8,1,10,1,8,1,18,1,10,1,18,2,3,2,16,9,3,3,16,11,3,3,18,1,10,4,18,1,3,3,18,1,8,1,10,2,8,1,18,1,9,1,8,1,18,1,3,1,18,2,10,2,18,1,3,3,18,2,3,1,16,1,3,2,16,11,3,3,18,2,3,3,8,2,10,6,8,1,18,2,10,51,8,4,10,53,18,2,10,27,8,3,10,50,8,1,18,1,15,1,8,4,14,3,18,1,8,4,18,1,14,3,15,1,18,1,8,3,10,2,8,3,9,1,10,1,8,1,14,1,3,2,14,2,15,2,18,1,8,1,9,1,10,1,8,1,18,1,14,6,15,2,14,3,15,1,18,1,8,2,18,2,15,1,18,1,8,2,15,1,14,3,3,1,14,1,18,1,10,5,8,1,15,1,8,1,10,25,8,6,10,30,8,2,10,6,4,46,19,6,4,7,19,9,4,5,19,8,4,11,19,5,4,9,10,20,8,2,10,6,8,3,10,5,8,2,10,16,8,3,10,9,8,1,9,1,10,2,18,1,9,1,10,2,18,1,9,1,10,10,9,1,18,3,9,2,8,1,9,1,10,3,9,2,8,1,18,1,8,1,9,6,8,4,18,2,8,4,18,3,8,2,18,3,8,1,18,41,4,6,18,2,10,6,9,3,8,21,9,2,8,2,9,1,8,8,9,4,8,14,10,1,8,2,18,2,8,4,10,2,8,7,10,3,8,14,18,2,8,5,18,3,8,5,18,1,15,1,8,13,15,4,14,1,15,2,8,4,15,1,8,10,15,2,8,2,15,1,3,1,16,2,3,1,14,1,15,1,18,1,8,2,15,1,8,1,10,2,8,1,15,2,14,4,15,1,8,1,15,1,14,2,15,1,8,1,15,5,8,3,18,5,8,4,18,6,8,4,15,1,3,2,15,1,8,1,15,1,14,3,15,1,8,6,18,1,15,4,18,3,8,4,18,1,15,4,18,14,8,1,18,2,14,8,15,1,18,3,15,1,18,54,8,2,18,4,8,2,18,1,15,1,14,3,18,1,8,1,9,2,8,1,18,2,8,3,18,3,8,2,18,8,8,4,18,2,8,1,18,9,9,2,18,5,8,1,10,2,8,1,18,1,9,1,8,1,18,5,8,2,18,1,15,1,14,1,18,6,8,2,18,1,8,3,9,1,10,2,8,1,15,1,14,1,18,1,9,2,10,1,9,2,18,6,4,2,19,4,4,128,3,3,18,1,9,3,15,9,8,7,15,1,14,8,15,1,7,1,14,4,17,1,16,1,17,3,14,3,17,1,14,4,15,1,8,1,10,3,8,4,18,2,8,4,18,13,8,6,18,9,9,2,8,1,18,5,9,4,18,2,8,1,9,1,8,1,9,3,8,1,18,4,8,1,9,1,10,1,8,1,9,1,10,1,18,5,4,8,19,6,4,350,19,6,4,18,18,1,9,2,10,2,9,1,18,2,10,4,18,1,3,4,18,1,10,8,4,2,19,12,4,2,19,24,4,1,18,1,3,1,18,1,4,6,10,2,9,1,18,3,14,1,18,2,4,7,18,2,4,7,19,7,4,450,},
{4,397,19,5,4,4,19,12,4,4,19,30,4,175,19,3,4,3,18,1,3,2,14,1,8,1,10,2,8,1,10,5,18,2,3,2,16,9,3,1,16,14,3,1,18,1,10,3,8,1,18,1,3,3,18,1,10,2,8,1,18,2,10,2,8,1,18,1,3,1,18,2,9,1,18,1,3,2,18,3,3,4,16,13,3,1,18,2,3,3,8,2,10,6,8,1,18,2,10,25,8,1,10,25,8,3,10,11,8,1,10,71,8,2,18,1,10,27,8,1,10,21,8,2,15,2,8,1,10,2,8,1,14,3,18,1,8,5,18,1,15,2,18,1,8,1,10,1,8,1,9,1,10,3,8,2,9,1,10,1,8,1,15,1,14,4,15,2,18,1,8,2,10,2,18,1,14,6,15,9,18,1,15,2,18,1,8,3,15,1,14,1,3,1,14,1,15,1,8,1,10,5,15,1,14,1,8,2,10,26,8,4,10,30,8,3,10,5,4,46,19,6,4,6,19,10,4,5,19,9,4,10,19,5,4,6,10,1,4,1,10,21,8,2,10,3,8,1,10,2,8,2,10,23,8,3,10,9,8,2,9,1,10,1,9,1,18,2,10,2,18,1,10,11,9,1,18,3,9,1,10,1,9,1,8,3,9,2,8,1,18,5,8,8,18,2,8,4,18,2,8,3,18,10,8,2,18,32,10,1,4,6,18,2,10,4,9,1,18,8,8,1,18,1,8,49,18,2,8,4,10,3,8,23,18,2,8,4,18,4,8,5,18,1,8,14,15,4,14,1,15,2,8,19,14,2,16,2,14,1,15,2,8,3,15,1,8,2,10,1,8,1,15,1,14,4,15,2,8,1,15,1,14,2,15,1,8,1,15,5,8,3,15,2,18,12,8,4,15,1,14,1,16,1,3,1,15,1,8,1,15,1,14,3,18,1,8,3,18,2,8,1,18,1,15,4,18,2,8,5,18,2,15,3,18,13,8,2,18,1,15,1,14,8,15,1,18,50,8,1,18,7,8,2,18,4,8,1,18,2,15,1,14,1,15,1,18,2,8,1,10,2,8,1,18,2,8,1,10,2,8,1,18,3,8,1,18,7,8,5,18,2,8,1,18,9,9,2,18,5,9,1,10,2,9,2,10,2,8,1,18,4,8,1,18,2,15,2,18,4,8,3,18,3,8,3,9,1,8,1,18,1,14,2,18,1,8,1,9,1,10,1,9,2,18,6,4,3,19,2,4,129,3,3,18,1,9,2,8,1,15,9,8,3,15,3,8,1,15,1,14,2,17,1,14,5,15,2,14,4,17,3,14,1,17,2,14,7,15,1,8,1,10,3,8,2,10,2,18,2,8,4,18,13,8,7,18,3,8,2,18,3,8,1,9,4,8,1,9,2,8,1,9,3,18,3,8,7,18,2,8,2,9,2,8,2,10,1,9,1,18,5,4,7,19,6,4,351,19,4,4,22,10,3,18,2,10,5,18,3,8,1,10,8,4,3,19,12,4,3,19,23,4,2,18,2,4,6,10,3,18,6,4,9,19,2,4,4,19,7,4,451,},
{4,390,19,4,4,5,19,3,4,4,19,12,4,4,19,30,4,174,19,5,4,2,18,3,8,1,10,11,18,1,3,2,16,4,3,4,16,15,3,1,10,5,18,1,3,3,8,1,10,2,18,1,14,1,18,1,10,3,18,1,3,2,18,7,3,2,16,1,3,2,16,13,3,5,18,1,8,2,10,2,8,3,10,2,8,2,10,12,8,1,10,14,8,1,18,1,8,1,10,21,8,3,10,10,8,3,10,4,8,3,10,57,8,1,18,1,8,1,10,4,8,4,10,38,8,2,10,6,8,1,18,1,15,3,8,1,10,2,8,1,15,1,14,2,8,1,10,3,8,10,10,3,8,7,15,1,14,4,15,1,18,1,8,1,10,2,8,1,15,6,18,5,15,1,14,5,15,6,14,3,15,1,8,3,10,3,8,3,10,61,8,3,10,2,4,49,19,5,4,6,19,11,4,1,10,2,4,2,19,11,4,7,19,6,4,4,10,29,8,2,10,2,8,1,10,23,8,3,10,9,8,3,10,3,9,3,18,2,4,11,18,4,9,1,10,1,8,6,18,16,8,4,18,49,10,1,4,6,18,2,10,4,9,2,18,8,8,58,10,1,8,23,18,2,8,4,18,5,8,3,18,2,8,17,15,4,8,15,15,2,8,2,15,1,14,1,3,2,14,1,15,3,8,1,15,2,8,4,15,1,14,3,15,8,8,1,15,4,8,5,18,13,8,3,15,1,14,2,3,1,14,1,15,1,8,1,15,1,14,3,18,1,8,2,18,3,8,2,18,1,15,2,18,2,8,8,18,1,15,1,18,15,8,1,18,2,15,3,14,3,15,1,18,60,8,1,18,5,8,2,18,1,15,1,14,1,15,1,18,1,8,5,18,1,8,1,9,1,10,2,8,1,18,2,8,2,18,2,8,2,18,3,8,2,9,1,8,2,18,13,9,7,10,2,9,2,10,3,9,1,8,1,18,11,8,4,18,2,8,4,18,1,15,3,18,2,9,5,18,3,4,135,19,1,3,3,9,1,10,2,9,1,15,3,8,2,15,1,14,2,15,1,8,7,15,2,14,1,17,2,14,3,15,1,8,1,15,1,14,2,7,1,14,2,17,1,14,1,17,3,14,7,15,1,8,6,10,2,18,3,8,2,18,7,15,2,18,6,8,5,18,5,8,1,18,4,9,2,18,2,8,2,9,1,8,1,9,3,18,3,8,7,18,2,8,2,9,1,10,1,8,2,10,1,9,1,18,5,4,7,19,10,4,361,19,8,4,11,10,3,18,3,10,5,4,7,19,12,4,22,19,6,4,15,18,2,4,8,19,5,4,2,19,6,4,452,},
{4,390,19,5,4,5,19,2,4,4,19,12,4,4,19,30,4,174,19,5,4,3,18,1,8,1,10,8,8,1,18,2,9,1,10,1,18,2,3,1,16,22,3,1,18,3,8,2,18,2,3,1,18,1,10,2,18,1,3,3,9,1,10,2,18,1,3,3,18,4,3,3,16,17,3,1,16,2,3,1,18,2,9,1,10,2,8,1,18,2,8,1,10,16,8,1,10,14,8,1,18,2,10,21,8,2,10,11,8,2,10,4,8,4,10,2,8,1,10,54,8,1,18,1,8,1,10,5,8,1,18,1,8,2,10,37,8,2,10,5,8,2,18,4,8,1,10,3,8,1,18,1,8,2,10,3,8,3,10,1,8,6,10,3,8,4,9,1,10,2,8,1,15,2,14,2,15,1,18,1,8,1,10,1,9,1,8,1,18,3,15,1,18,1,15,1,18,5,15,1,14,2,3,1,14,2,15,5,14,4,15,1,18,2,8,6,10,3,8,3,10,8,8,1,10,8,8,4,10,36,8,2,10,1,4,51,19,2,4,7,19,11,4,2,10,3,4,9,19,15,4,4,10,30,8,2,10,15,8,4,10,6,8,2,10,9,8,2,10,6,9,2,18,2,4,12,18,3,8,1,9,2,8,2,18,20,8,4,18,49,10,1,4,6,18,1,9,1,10,5,9,1,18,2,9,1,8,2,18,1,8,3,18,5,8,52,10,3,8,3,18,2,8,16,18,3,8,4,18,5,8,2,18,1,8,19,15,2,8,16,15,2,8,3,14,3,15,1,8,1,15,7,8,1,15,2,14,2,15,9,8,1,15,5,8,5,18,3,14,1,18,10,15,1,14,5,15,2,14,3,15,1,8,2,18,1,15,1,18,2,8,2,18,5,8,9,15,7,18,15,15,1,18,58,9,2,8,1,18,8,8,1,18,2,15,2,18,1,8,1,9,1,8,3,18,2,8,1,9,1,10,2,8,1,18,2,8,3,18,1,8,3,18,2,8,2,9,1,8,2,18,1,15,3,18,10,9,1,10,4,9,2,18,1,9,2,10,4,9,1,18,6,8,1,18,5,8,3,18,2,8,3,18,1,15,2,18,7,9,2,18,3,4,135,19,1,3,3,18,2,9,2,8,1,15,2,8,2,15,1,14,1,15,2,8,8,15,1,14,5,15,2,8,1,15,1,14,7,17,1,16,2,17,1,14,5,15,1,8,6,10,2,9,1,18,1,15,1,18,1,8,2,18,7,15,3,18,6,8,3,18,11,9,1,18,2,8,1,9,2,8,1,18,1,8,1,9,2,8,1,18,1,8,2,18,2,8,3,18,4,8,1,9,6,8,1,18,2,8,1,9,1,10,1,4,6,19,12,4,358,19,14,4,6,10,3,9,2,10,5,4,8,19,12,4,23,19,6,4,23,19,6,4,2,19,6,4,452,},
{4,390,19,5,4,11,19,8,4,9,19,21,4,2,19,6,4,174,19,6,4,2,18,1,10,9,18,3,10,4,3,1,16,19,3,9,18,1,9,1,10,3,18,1,3,1,16,2,3,1,18,3,3,4,18,4,3,2,16,7,3,4,16,7,3,1,16,2,3,2,18,1,9,1,10,2,18,2,8,1,10,31,8,2,18,1,8,1,10,16,8,2,10,23,8,3,10,57,8,2,10,5,8,1,18,3,10,39,8,3,18,2,8,8,10,4,8,2,10,4,8,6,10,2,8,2,10,3,8,3,9,1,10,3,8,1,18,2,15,2,18,1,8,2,10,2,8,1,18,2,15,2,14,2,15,5,14,5,15,1,18,5,15,1,14,2,15,1,18,1,15,1,18,1,8,6,10,3,8,3,10,8,8,1,10,8,8,2,10,38,8,2,18,1,4,57,19,13,4,2,10,4,4,9,19,11,4,8,10,30,8,2,10,15,8,4,10,5,8,3,10,8,8,3,10,3,8,2,9,2,18,3,4,12,18,3,8,2,9,1,8,2,18,16,8,1,18,3,8,5,18,46,8,1,18,1,9,1,10,6,18,2,10,4,9,2,8,1,9,1,8,8,18,4,8,52,10,5,8,2,18,1,8,16,18,3,8,5,18,3,8,41,15,2,8,3,15,1,14,1,15,1,8,2,15,2,14,5,15,3,14,2,15,1,8,2,15,4,8,3,15,8,8,1,18,2,15,1,14,4,15,1,18,4,15,1,18,1,15,2,14,4,15,3,14,3,15,1,8,2,15,2,18,2,8,2,18,8,8,5,18,2,15,7,18,24,15,1,18,31,8,1,18,16,9,3,8,1,18,7,8,1,18,2,15,2,18,1,8,1,9,1,8,3,18,3,9,1,10,2,9,1,18,3,8,6,18,3,8,4,18,1,15,1,14,1,15,1,18,3,9,1,18,6,9,1,10,4,9,1,18,3,9,1,10,5,18,5,9,2,18,11,8,2,18,13,4,138,3,5,18,1,9,1,10,2,9,1,8,1,15,4,8,10,15,1,14,3,7,1,15,2,8,1,7,1,14,8,16,2,17,1,14,5,15,1,8,3,18,2,8,2,9,1,8,1,18,1,15,1,18,1,8,2,18,1,15,1,18,2,8,1,18,2,15,6,18,10,15,4,18,2,9,2,8,1,18,1,9,3,18,3,8,2,18,2,8,2,18,3,8,3,18,3,8,2,9,4,8,1,9,1,8,1,18,2,9,1,10,1,4,7,19,13,4,356,19,14,4,6,10,10,4,5,19,14,4,25,19,14,4,14,19,6,4,2,19,5,4,453,},
{4,390,19,7,4,11,19,5,4,19,19,1,4,1,19,1,4,192,19,4,4,3,10,12,18,5,3,1,16,20,3,8,18,2,10,2,18,1,3,1,16,3,3,8,18,1,9,2,3,2,16,7,3,5,16,7,3,1,16,2,3,1,18,2,10,2,8,1,18,2,8,1,10,28,8,6,10,16,8,4,10,40,8,4,10,44,8,1,18,3,8,1,10,32,8,2,10,5,8,2,18,3,8,8,10,5,8,2,10,4,8,1,18,1,8,1,10,4,8,2,10,3,8,4,10,4,8,5,9,1,10,3,8,3,18,1,15,1,14,1,15,5,14,5,15,3,18,2,8,2,15,1,14,2,15,1,18,1,15,2,8,7,10,3,8,1,10,9,8,1,10,48,8,1,18,2,4,47,10,2,4,7,19,10,4,6,10,5,4,8,19,11,4,8,10,23,8,1,10,6,8,2,10,15,8,4,10,4,8,2,10,10,8,2,10,3,8,1,18,1,8,1,9,3,18,2,4,12,18,3,8,5,18,15,8,3,18,2,8,5,18,40,8,1,18,5,8,1,18,1,9,1,10,6,18,2,10,4,9,4,8,8,18,4,8,41,10,1,8,6,10,2,8,3,10,5,8,18,18,3,8,48,15,1,14,2,8,8,15,1,14,7,15,1,14,3,8,3,15,3,8,2,15,2,8,2,15,6,8,1,18,2,15,1,14,4,15,8,14,4,15,1,8,1,15,2,14,2,15,1,18,1,8,2,15,2,18,1,8,3,18,8,8,4,18,3,15,7,18,10,15,2,18,12,15,1,18,31,8,1,18,16,9,1,10,2,9,1,18,10,15,1,18,2,8,6,18,2,8,1,9,2,8,1,18,3,8,6,18,3,8,4,18,2,15,2,18,3,9,1,18,7,10,4,9,1,18,1,3,1,18,1,9,2,10,4,9,1,18,17,8,2,18,13,4,138,19,1,3,5,18,1,9,1,10,1,9,1,18,1,15,2,8,11,9,1,8,1,15,1,14,2,7,1,15,1,8,2,7,1,14,8,17,4,14,3,8,4,15,2,18,1,8,3,18,1,15,2,18,1,8,1,18,2,15,1,18,1,8,4,18,4,15,2,18,9,15,5,18,2,8,2,18,1,8,1,9,3,18,7,8,1,18,4,8,3,18,4,8,2,9,1,8,2,18,1,8,2,18,2,9,2,18,1,4,9,19,10,4,355,19,17,4,6,10,8,4,4,19,11,4,30,19,13,4,15,19,4,4,461,},
{4,390,19,7,4,237,18,1,10,9,18,1,3,2,16,27,3,2,18,1,10,1,9,1,18,4,3,2,16,4,3,5,18,4,10,1,9,1,3,1,16,3,3,2,16,3,3,3,16,11,3,2,9,1,10,2,18,1,14,2,18,2,8,2,10,26,8,4,10,17,8,4,10,40,8,5,10,44,8,1,18,3,10,33,8,11,10,6,8,4,10,4,8,9,10,4,8,10,10,13,8,3,18,2,8,3,18,1,15,1,14,2,15,1,18,3,15,1,14,2,18,1,8,2,15,1,14,3,15,1,14,1,15,1,18,1,8,6,10,62,8,1,18,2,4,32,19,3,4,11,10,4,4,5,19,11,4,4,10,10,18,1,4,4,19,10,4,7,10,24,8,2,10,22,8,5,10,4,8,2,10,10,8,2,10,3,8,1,18,1,8,1,10,5,4,12,18,6,8,4,18,1,8,2,18,1,8,9,9,2,8,1,18,2,8,1,9,1,8,3,18,39,8,2,18,4,8,4,10,5,9,1,18,2,10,4,9,4,8,8,18,4,8,40,10,2,8,6,10,2,8,6,10,2,8,13,18,1,8,6,18,2,8,26,15,1,8,20,15,1,14,2,15,1,8,7,15,1,14,11,8,3,15,3,8,2,15,2,8,3,15,5,8,3,18,1,14,3,15,13,8,2,15,2,14,2,15,1,18,1,8,1,18,1,15,2,18,1,8,3,18,9,8,2,18,4,15,6,18,10,15,4,18,60,10,3,9,1,18,7,8,1,18,1,15,2,18,4,8,1,9,3,8,1,18,1,8,2,9,1,8,1,18,5,8,4,18,4,8,3,18,15,10,4,9,1,18,1,3,1,18,3,9,1,10,3,9,2,18,6,8,1,18,9,8,4,18,1,8,1,9,1,18,7,4,5,19,1,4,129,19,1,4,4,3,7,14,1,18,1,8,6,15,1,8,3,15,3,8,3,15,1,14,3,7,1,15,1,8,1,7,1,14,9,17,3,14,2,8,4,18,1,15,2,18,5,15,2,18,1,8,1,18,2,15,1,18,1,8,5,18,1,8,2,18,11,15,6,18,5,8,1,9,1,8,1,18,7,8,1,18,5,8,2,18,5,8,3,18,2,8,2,18,3,9,1,18,6,4,5,19,10,4,1,19,4,4,7,19,4,4,338,19,17,4,12,10,2,4,4,19,8,4,38,19,8,4,480,},
{4,391,19,7,4,236,18,1,8,1,10,7,8,1,3,1,16,14,3,3,16,12,3,2,18,1,10,2,18,2,3,3,16,5,3,5,18,4,9,1,18,1,3,2,16,2,3,7,16,12,3,2,18,1,10,1,18,1,3,3,14,2,18,1,8,1,10,25,8,5,10,17,8,4,10,1,8,5,10,34,8,4,10,45,8,3,10,35,8,2,18,1,14,1,18,1,8,4,10,3,8,3,10,2,8,4,10,2,8,3,18,1,8,5,10,4,8,1,18,3,8,2,10,1,8,2,18,2,8,1,10,14,9,1,8,2,10,3,8,2,18,2,8,4,18,1,14,2,15,1,18,3,15,1,14,6,18,3,8,5,10,60,8,1,15,1,18,1,4,31,19,5,4,10,10,4,4,5,19,11,4,4,10,12,4,4,19,7,4,9,10,24,8,2,10,21,8,1,10,22,8,1,10,3,18,2,10,6,4,12,18,6,8,5,9,7,8,5,9,3,18,2,8,1,9,2,8,5,18,36,8,2,18,3,8,4,9,1,8,1,10,4,9,1,18,2,10,3,9,2,8,1,9,3,8,24,9,1,8,1,9,1,8,32,10,2,8,8,10,1,8,34,15,1,8,11,15,3,8,16,15,7,8,7,14,2,15,2,14,2,15,2,14,4,8,3,15,1,14,1,15,2,8,1,15,2,8,3,15,4,8,2,10,2,8,1,15,1,14,2,15,9,14,1,15,2,8,3,15,2,14,1,15,2,18,3,15,1,18,2,8,3,18,9,8,2,18,1,8,3,18,1,15,3,18,10,15,1,18,1,15,4,18,47,9,1,8,1,18,11,9,1,10,2,9,1,18,15,8,1,9,1,10,2,9,1,8,2,9,2,8,1,18,6,8,3,18,1,15,2,18,3,8,4,18,12,10,4,18,7,10,4,9,1,18,3,14,1,18,2,9,1,18,9,8,2,9,1,8,2,9,3,18,5,4,5,19,3,4,128,19,1,4,5,18,1,3,7,18,1,8,5,15,2,8,3,15,3,8,2,15,1,14,3,7,1,15,1,7,3,14,2,17,2,14,5,17,2,14,1,15,1,8,1,10,2,8,1,15,2,18,6,15,2,18,3,15,2,18,1,8,8,18,13,15,3,14,2,15,4,18,1,8,1,18,2,15,2,18,10,8,2,18,22,4,5,19,15,4,6,19,6,4,337,19,17,4,2,19,4,4,6,10,2,4,4,19,8,4,38,19,8,4,480,},
{4,392,19,6,4,236,10,5,8,2,10,2,18,1,3,1,16,8,3,2,18,1,3,8,16,10,3,3,18,3,3,3,16,5,3,7,18,1,3,2,18,2,3,3,16,1,3,8,16,11,3,3,18,1,3,2,16,2,3,1,14,1,8,2,10,4,8,2,10,8,8,3,10,9,8,3,9,1,10,11,8,3,10,6,8,9,10,33,8,2,10,85,8,1,18,1,14,1,18,1,8,2,10,2,8,4,18,1,8,2,10,1,8,4,10,2,8,2,18,3,8,3,10,4,8,1,14,3,18,1,8,1,10,3,8,1,18,3,8,1,10,5,8,3,10,12,8,4,10,3,8,1,15,1,14,2,15,1,18,3,14,2,3,3,14,2,18,1,8,6,10,60,8,1,15,1,18,1,4,6,19,5,4,19,19,6,4,10,10,3,18,1,4,4,19,12,4,4,10,12,4,20,10,24,8,2,10,45,8,3,18,2,10,6,4,12,18,6,8,5,9,7,8,6,9,2,8,7,18,1,8,3,18,37,8,5,10,9,8,2,10,3,9,1,8,13,9,2,8,2,18,3,8,5,9,6,8,4,18,2,8,29,10,1,8,2,18,3,8,37,15,1,18,1,8,11,15,2,8,5,15,3,8,8,15,6,8,3,15,3,8,1,15,1,14,2,15,1,8,1,15,2,8,1,15,1,14,3,15,1,8,3,15,1,14,2,15,5,8,3,18,3,8,1,10,4,15,1,3,1,14,5,15,3,14,3,15,1,8,4,15,7,18,3,8,2,18,10,8,7,18,1,15,3,18,8,15,1,18,4,15,2,18,28,8,1,18,18,8,1,9,2,8,1,18,10,9,1,10,1,9,1,8,1,18,16,9,1,10,3,9,4,8,1,18,7,8,1,18,2,15,3,18,2,8,6,18,4,9,2,8,1,18,3,9,1,10,3,18,8,10,3,9,1,18,3,3,2,18,1,9,1,18,11,8,1,18,2,9,4,18,3,4,4,19,5,4,133,19,3,3,7,18,3,8,1,18,1,15,2,8,3,15,3,8,3,15,1,14,2,7,5,14,10,17,1,14,1,15,1,10,3,8,1,15,2,18,1,8,1,18,4,15,2,8,1,15,5,18,1,8,13,18,2,8,1,18,6,14,7,15,1,18,3,14,2,18,14,15,2,18,4,15,4,18,10,4,5,19,14,4,8,19,6,4,336,19,25,4,4,10,2,4,4,19,8,4,38,19,8,4,480,},
{4,392,19,5,4,238,10,3,8,4,10,2,3,2,16,5,3,6,16,4,3,4,16,9,3,11,16,3,3,3,16,3,3,18,16,11,3,1,16,2,3,2,16,2,3,2,18,1,8,1,10,4,8,3,10,7,8,1,18,3,10,24,8,3,10,8,8,8,10,32,8,1,10,87,8,6,18,1,14,1,3,1,15,1,18,2,8,2,10,4,8,11,10,3,8,1,14,1,3,1,14,1,18,1,8,2,10,3,9,1,8,1,18,3,8,4,18,3,8,2,10,19,8,1,18,1,15,2,18,1,8,2,18,1,14,1,3,3,14,2,18,1,8,11,10,6,8,3,10,46,8,1,18,3,4,5,19,6,4,18,19,5,4,5,10,8,18,2,4,2,19,15,4,3,10,13,4,19,10,24,9,1,10,46,8,3,18,2,10,5,4,13,18,3,8,1,18,2,8,5,9,6,8,15,18,2,8,4,18,18,8,2,18,10,8,1,18,5,8,5,10,14,8,14,9,2,8,1,18,6,8,3,9,7,8,3,18,2,8,24,10,2,8,5,18,5,8,13,15,1,8,35,15,2,8,5,15,3,8,8,15,4,8,4,15,6,14,2,8,2,15,1,8,3,15,1,14,2,15,1,8,3,15,1,14,2,15,5,8,3,18,3,9,1,10,4,18,1,14,5,15,2,18,1,15,1,14,3,18,1,8,1,9,1,8,1,15,8,18,1,8,3,18,3,8,3,18,1,8,1,18,2,8,9,15,1,14,1,15,1,18,7,15,2,18,53,8,1,9,1,10,1,9,1,18,10,9,3,18,18,9,1,10,5,9,1,8,1,18,12,15,1,18,4,8,3,9,2,8,3,9,3,8,1,18,2,8,1,10,2,9,1,18,9,10,2,9,1,18,3,3,2,18,18,9,2,18,2,4,4,19,6,4,130,19,8,3,6,18,4,15,2,8,5,15,1,8,3,15,1,7,1,14,1,7,7,14,10,15,1,10,3,8,1,15,2,8,2,18,2,8,2,18,1,15,1,8,2,15,5,18,1,8,2,18,2,8,7,18,1,8,5,18,4,14,2,3,1,14,5,15,1,18,1,15,1,14,1,15,1,18,14,14,2,18,4,15,4,18,4,8,1,18,4,9,1,18,1,4,12,19,5,4,10,19,6,4,345,19,15,4,11,19,6,4,40,19,6,4,481,},
{4,634,10,8,18,1,10,2,8,1,18,1,3,5,16,10,3,3,16,10,3,4,18,2,4,3,18,1,3,1,16,2,3,2,16,5,3,6,18,1,3,2,18,1,3,3,16,2,3,2,16,12,3,3,16,2,3,1,18,1,8,1,18,1,8,1,10,3,8,4,10,6,8,2,18,3,10,25,8,1,10,9,8,9,10,31,8,2,10,89,8,1,18,2,3,1,16,2,3,1,18,1,8,4,10,5,8,4,10,3,8,2,10,2,8,1,18,1,3,2,18,1,8,1,10,2,8,2,9,1,10,1,9,1,8,1,18,1,15,1,18,1,8,1,18,1,15,4,8,2,10,4,8,1,10,16,8,1,18,1,8,2,10,1,8,1,14,1,3,2,14,2,15,1,8,12,10,5,8,4,10,36,8,2,10,1,8,2,10,5,8,3,9,3,18,1,4,3,19,8,4,15,19,5,4,3,10,9,4,5,19,4,4,6,19,7,4,2,10,13,18,1,10,23,8,2,10,62,8,1,10,2,8,1,18,1,8,1,10,4,4,3,19,5,4,6,18,3,8,1,18,1,8,4,18,2,8,2,9,4,18,1,8,1,18,1,8,11,18,3,8,4,18,17,8,4,18,7,8,3,18,5,8,6,10,12,8,14,9,3,8,1,18,8,8,1,9,7,8,3,18,3,8,9,10,1,8,12,10,3,8,1,18,2,8,2,18,2,8,2,18,1,8,2,10,1,8,10,15,1,8,42,15,3,8,8,15,3,8,6,15,5,14,1,15,1,8,2,15,1,8,3,15,1,14,1,15,1,8,5,15,1,14,1,15,5,8,2,18,4,8,1,10,4,8,1,15,1,18,1,15,4,18,1,8,2,15,3,8,1,10,2,8,1,15,8,18,1,8,3,18,3,8,16,15,1,14,1,15,1,18,24,15,1,18,29,8,1,18,8,9,3,18,2,14,1,18,8,8,1,18,15,9,1,18,4,9,1,10,5,18,19,8,2,9,2,8,3,9,1,10,2,8,1,18,3,9,3,18,9,9,1,10,1,18,2,9,1,18,26,4,3,19,6,4,130,19,6,4,2,19,1,3,6,18,2,15,2,8,2,10,2,8,7,7,4,14,1,7,5,14,6,17,1,14,2,15,1,10,3,18,1,15,2,18,1,8,1,18,2,9,1,8,1,18,1,15,1,8,2,15,5,18,6,8,5,18,3,8,4,18,2,15,2,14,7,15,2,18,1,15,3,18,13,14,3,18,4,15,2,14,1,15,1,18,1,8,1,15,1,18,5,8,1,9,2,18,6,4,8,19,3,4,8,3,2,4,2,19,4,4,350,19,9,4,545,},
{4,634,10,10,8,1,10,2,18,1,3,4,16,10,3,3,16,13,3,2,18,1,4,4,3,2,16,1,3,1,16,6,3,2,18,1,3,2,14,1,18,5,3,2,16,2,3,1,16,7,3,2,16,3,3,6,14,1,8,1,10,1,8,2,10,3,8,2,10,8,8,6,10,36,8,6,10,32,8,3,10,88,8,1,14,2,3,1,16,2,3,1,8,1,10,2,8,2,10,5,8,3,10,4,8,5,14,1,3,1,14,1,8,1,10,2,8,2,18,1,8,4,18,3,8,1,18,1,15,1,14,1,15,1,18,1,8,2,10,4,8,6,10,16,8,1,14,1,3,1,14,2,15,1,8,13,10,5,8,2,18,1,8,3,10,14,8,1,10,19,8,1,10,1,8,4,10,4,8,3,9,3,18,1,4,3,19,8,4,16,19,2,4,5,10,8,4,4,19,6,4,6,19,7,4,3,10,10,8,3,10,16,9,1,10,66,8,5,10,3,8,1,9,1,10,4,4,2,19,6,4,6,18,3,8,5,15,1,18,3,8,1,9,2,8,2,18,3,8,5,18,2,8,4,18,3,8,4,18,16,8,2,10,1,9,1,8,1,18,15,8,3,18,2,8,1,10,11,8,15,9,2,8,2,18,7,8,4,9,6,8,13,10,2,8,2,10,2,8,8,10,2,8,1,18,1,15,1,14,1,18,4,8,4,10,2,8,37,15,4,8,12,15,3,8,8,15,3,8,6,15,7,8,2,15,1,8,3,15,1,14,1,15,1,8,2,10,2,8,1,15,7,8,2,18,4,8,1,10,5,9,2,8,1,18,2,8,1,9,1,10,2,8,4,10,2,8,1,15,1,14,1,15,6,18,1,8,1,9,1,8,1,18,3,8,16,15,1,14,1,15,1,18,23,15,2,18,29,8,1,18,9,8,2,18,2,14,1,18,3,8,1,9,2,18,18,9,1,18,2,14,1,18,2,9,1,10,4,8,1,18,12,8,3,18,4,8,1,9,2,8,4,9,1,10,1,8,2,18,2,8,1,9,2,18,10,9,1,18,2,9,4,18,22,4,4,19,5,4,130,19,8,4,2,19,2,3,6,14,2,15,2,8,10,7,3,14,1,7,2,8,4,7,1,14,4,17,1,14,3,8,3,18,1,15,2,18,4,9,2,8,1,15,1,8,3,18,1,15,3,18,3,15,1,18,3,8,2,18,11,15,2,14,1,15,4,14,2,15,1,18,2,15,3,18,13,14,2,18,6,15,1,14,1,15,1,18,1,8,1,18,3,15,1,14,1,18,1,8,1,9,2,8,1,18,6,4,18,3,1,16,1,3,1,4,2,19,3,4,350,19,9,4,545,},
{4,634,10,11,8,1,18,1,3,1,16,17,3,2,16,13,3,2,4,2,18,1,3,2,16,8,3,1,18,2,3,2,14,1,18,3,3,5,16,8,3,3,16,2,3,2,18,3,3,1,18,2,8,1,10,6,8,1,10,8,8,3,10,3,8,1,18,1,8,1,10,6,9,1,8,2,10,27,8,3,10,32,8,5,10,87,18,1,14,2,3,1,16,1,3,1,18,1,10,3,8,1,10,13,8,5,18,1,14,1,18,1,10,3,18,1,14,2,18,4,8,4,18,1,15,1,18,1,8,2,10,9,8,4,10,4,8,4,10,7,8,1,15,1,14,2,15,1,8,14,10,5,8,2,18,1,8,4,10,13,8,1,10,14,8,1,10,6,8,4,10,4,8,6,9,1,4,3,19,8,4,23,10,8,4,2,19,8,4,7,19,7,4,2,10,10,8,3,10,14,9,4,10,50,8,3,10,11,8,6,10,4,9,1,10,2,18,2,4,2,19,5,4,7,18,3,8,1,9,1,8,4,18,3,8,1,9,2,8,2,18,1,8,7,18,2,8,4,18,3,8,3,18,9,8,1,18,6,8,2,10,3,8,1,18,15,8,2,18,3,8,1,10,2,8,3,10,4,8,8,9,1,8,9,9,1,8,1,18,8,8,4,9,6,8,13,10,2,8,2,10,3,8,7,10,2,8,1,18,1,15,1,14,1,15,1,18,1,15,1,18,2,8,3,10,2,8,11,15,1,8,25,15,4,8,13,15,3,8,7,15,3,8,6,15,11,8,2,15,1,14,1,15,1,8,1,10,3,8,2,15,5,18,9,8,1,10,6,9,1,8,1,9,1,10,5,8,1,10,3,8,1,14,2,15,6,8,3,18,5,8,2,18,1,8,1,18,2,8,9,15,3,18,21,15,4,18,40,8,1,18,4,8,3,9,2,18,12,9,2,18,4,9,1,18,2,3,1,18,2,9,2,10,2,9,2,18,11,8,4,18,2,15,1,18,1,8,2,9,1,8,8,18,2,8,3,18,12,9,2,10,3,9,1,18,18,4,141,19,15,3,5,14,4,15,1,8,3,15,3,8,3,7,4,8,5,15,1,14,4,3,1,14,4,15,1,18,3,15,1,14,1,15,1,18,2,9,2,8,7,15,1,18,4,15,2,18,15,15,1,14,1,15,1,18,4,15,3,18,2,15,3,18,12,14,2,18,7,15,4,8,2,15,2,14,2,15,1,8,1,9,1,8,2,18,6,4,5,18,1,4,12,3,1,16,1,3,2,18,1,4,353,19,9,4,545,},
{4,635,10,2,8,1,10,5,18,2,3,2,16,35,3,1,18,1,3,3,16,8,3,1,18,2,3,3,18,2,3,7,16,7,3,3,16,2,3,7,14,1,18,1,8,1,10,3,8,3,10,8,8,1,10,5,8,1,18,1,8,1,10,6,8,4,9,1,10,60,8,4,10,81,8,2,10,4,8,2,18,3,14,1,18,1,10,14,8,2,10,2,8,6,18,1,8,1,10,2,8,1,14,3,18,4,8,4,18,2,8,5,10,7,8,2,18,1,8,6,18,2,8,2,10,7,8,1,15,1,14,1,15,1,8,13,10,6,8,2,15,1,18,1,8,3,10,28,8,1,9,1,10,6,8,4,10,4,8,5,9,1,18,1,4,5,19,5,4,22,10,9,4,2,19,7,4,8,19,7,4,2,10,10,8,2,10,14,9,3,10,52,8,3,10,12,8,5,10,5,18,4,4,2,19,5,4,6,18,5,8,6,18,2,8,5,18,1,8,7,18,3,8,3,18,3,8,3,18,6,8,2,18,6,8,3,9,1,10,3,8,1,18,3,8,1,18,11,8,3,18,3,10,2,8,3,10,3,8,1,18,1,8,17,9,1,18,1,8,1,18,8,8,3,9,6,8,14,10,1,8,2,10,3,8,3,10,1,8,6,18,2,14,5,15,1,18,1,8,29,15,4,8,8,15,3,8,14,15,3,8,8,15,3,8,5,15,4,8,3,15,4,8,1,15,1,14,2,15,1,8,1,10,3,8,2,15,3,8,2,18,11,10,5,8,3,10,9,8,1,14,2,15,6,8,3,18,3,8,2,18,6,8,9,18,69,8,1,18,2,8,1,9,3,10,2,9,1,18,10,9,4,18,13,9,2,18,11,8,1,9,2,8,1,18,1,15,2,18,1,8,6,18,1,8,4,18,3,8,2,18,12,9,1,18,1,10,5,18,16,4,134,19,1,4,7,19,15,3,7,16,1,3,1,14,1,15,1,8,2,15,2,8,6,7,2,8,6,15,1,14,7,3,1,14,1,18,1,8,1,9,1,18,1,14,2,18,1,9,3,18,1,15,1,8,8,18,1,15,3,18,11,8,1,18,3,15,1,14,1,15,1,8,1,9,2,8,1,18,6,15,2,18,12,14,2,18,5,9,2,18,1,15,2,18,1,9,2,18,1,14,3,15,1,8,3,18,3,8,1,18,3,4,4,18,6,4,8,3,4,16,1,3,1,18,1,4,352,19,9,4,544,},
{4,635,18,3,10,3,4,2,18,2,3,1,16,6,3,3,16,28,3,1,16,10,3,1,18,3,3,6,16,2,3,5,16,11,3,3,16,4,3,2,8,1,10,2,8,1,18,1,8,3,10,13,8,1,18,2,10,5,8,2,18,3,8,3,9,1,10,5,8,2,10,50,8,3,10,26,8,2,10,53,8,1,18,2,8,1,10,19,8,1,10,3,8,11,18,2,10,2,15,1,3,1,14,1,15,1,8,1,10,1,8,1,18,1,8,4,18,1,15,1,18,1,8,2,18,1,15,1,18,1,8,1,10,5,8,1,18,1,15,3,18,1,8,8,10,6,8,1,18,1,14,2,8,4,10,2,8,3,10,10,8,2,18,4,8,1,10,36,8,4,10,4,8,2,15,2,18,1,8,1,10,2,4,6,19,2,4,24,10,8,4,2,19,8,4,8,19,6,4,2,18,1,10,9,8,2,10,21,9,2,10,20,9,1,8,1,10,8,8,1,10,15,8,1,10,1,8,1,10,14,8,6,10,2,18,4,4,3,19,4,4,4,18,3,9,2,18,2,8,6,18,3,8,1,18,5,8,6,18,3,8,4,18,3,8,2,18,5,8,3,18,5,8,3,9,1,10,4,8,1,18,3,8,1,18,10,8,5,18,1,8,1,10,2,8,2,18,1,10,3,18,2,8,6,10,3,8,8,9,1,8,5,18,5,8,4,9,6,8,18,10,1,8,3,10,1,8,8,15,1,14,1,3,2,14,3,15,1,8,27,15,4,8,10,15,2,8,13,15,2,14,1,15,2,8,2,18,1,8,4,15,3,8,12,15,6,14,3,8,1,10,3,8,1,15,3,8,3,18,4,8,1,18,6,10,4,9,1,18,1,14,1,15,1,8,1,10,3,8,1,18,1,8,1,10,2,8,1,15,1,14,1,15,5,18,1,8,3,15,2,18,1,9,1,8,1,18,6,8,9,18,3,15,3,18,8,15,2,18,47,8,3,18,3,8,3,10,7,8,1,18,9,9,1,10,2,9,3,18,5,10,2,18,4,9,1,10,2,9,1,18,2,9,2,18,3,15,1,18,2,9,2,8,1,18,1,15,2,18,1,8,5,18,1,15,1,18,2,8,2,18,4,8,1,18,15,4,7,18,12,4,133,19,4,4,5,19,14,3,5,18,1,14,2,16,3,14,1,15,1,8,2,15,1,8,8,7,1,8,2,7,1,15,1,8,2,15,2,14,4,15,1,14,1,3,2,18,1,10,2,9,1,14,2,18,1,9,3,15,2,8,7,18,2,15,4,18,1,8,2,18,6,8,3,18,2,15,1,14,1,15,1,8,1,9,3,18,1,15,3,18,2,15,2,18,11,14,1,3,1,14,1,18,2,9,6,15,2,8,1,9,2,8,1,14,1,3,1,14,1,15,1,8,2,18,2,8,3,18,4,10,3,18,7,10,7,18,1,3,1,18,1,3,1,16,2,3,1,4,9,19,2,4,344,19,8,4,542,},
{4,644,18,1,3,1,16,6,18,1,10,1,18,1,3,2,16,36,3,11,16,2,3,5,16,19,3,1,8,1,10,2,8,1,14,1,18,1,8,3,10,12,18,2,8,1,10,6,8,2,18,2,8,3,9,1,10,3,8,4,10,50,8,2,10,83,8,2,10,19,8,3,10,2,8,2,18,2,8,11,14,3,18,1,8,1,10,1,8,6,14,2,15,1,18,3,15,1,18,1,8,1,10,4,9,1,8,2,15,1,14,2,15,2,18,1,8,3,18,1,15,1,18,1,8,1,10,6,8,1,15,1,14,1,18,3,8,1,10,3,8,1,10,12,8,1,18,3,8,2,10,15,8,4,10,4,8,1,10,12,8,4,10,4,8,2,15,2,18,1,8,1,10,2,4,41,19,11,4,6,19,5,4,3,18,1,10,9,8,2,10,21,9,2,10,30,9,1,10,31,8,2,10,2,8,1,18,2,10,2,18,4,4,4,19,3,4,4,18,2,10,1,9,1,18,4,9,4,8,1,18,9,8,5,18,4,8,10,18,12,8,5,9,1,10,1,8,1,18,2,8,3,18,10,8,1,10,2,8,2,18,1,8,1,10,2,8,4,10,2,18,2,8,6,10,1,8,11,9,1,8,13,9,8,8,6,18,2,15,2,8,19,18,1,14,1,3,2,14,1,3,1,14,1,18,1,8,12,15,1,8,4,15,4,8,7,15,2,8,21,15,1,8,4,15,10,8,1,15,4,8,8,15,2,8,2,15,8,14,1,15,1,10,3,8,1,15,2,8,5,18,3,8,2,18,5,8,1,10,3,9,1,18,1,14,2,18,1,8,4,18,2,8,3,15,1,14,1,15,5,18,1,8,3,18,2,8,3,18,1,8,13,18,5,15,1,18,10,15,1,18,28,9,2,18,17,8,3,18,3,10,10,9,1,18,9,9,2,10,1,9,3,18,4,9,1,10,1,9,1,18,2,14,1,18,1,9,1,10,3,8,2,9,2,8,1,18,1,15,2,18,1,8,1,9,2,8,1,18,3,8,6,18,1,15,2,18,5,8,2,18,16,4,10,18,4,9,1,18,4,4,133,19,5,4,4,19,5,4,1,19,8,3,5,18,3,3,1,16,3,14,1,8,1,10,1,8,8,7,2,8,2,7,2,8,3,15,2,14,3,15,1,14,1,3,2,8,1,10,3,18,1,14,1,18,1,9,2,8,1,18,1,15,1,8,9,18,5,8,3,18,11,14,1,18,1,8,1,9,2,8,1,18,1,15,1,18,2,15,4,18,11,14,3,18,2,9,4,10,1,9,2,18,2,8,1,9,1,8,1,14,1,3,1,14,2,18,2,15,2,8,3,18,2,14,1,18,2,10,2,9,3,18,3,9,1,10,4,9,1,18,1,9,1,10,3,3,1,16,2,3,1,18,5,4,3,19,5,4,342,19,8,4,542,},
{4,644,18,1,3,1,16,6,3,1,8,1,10,2,18,1,3,1,16,39,3,10,16,22,3,2,10,3,8,1,18,3,8,1,10,12,18,1,3,1,18,1,10,3,8,2,10,3,8,7,10,3,8,4,10,64,8,2,10,90,18,2,8,1,10,2,8,2,18,1,14,1,15,1,18,3,8,2,10,3,8,2,14,3,15,1,8,5,10,2,8,1,14,1,3,1,14,1,15,1,8,3,10,4,8,2,10,2,9,1,18,1,15,1,18,1,15,3,18,1,8,2,18,1,15,2,8,2,18,2,10,4,18,1,14,2,18,2,8,1,10,2,8,2,10,13,8,1,18,2,8,1,10,1,8,1,10,14,8,8,10,14,8,4,10,5,8,2,18,1,8,1,10,6,4,32,19,1,4,4,19,12,4,6,19,4,4,3,18,1,10,70,8,1,10,24,8,4,10,1,8,1,18,1,8,1,10,2,8,3,18,1,4,5,19,2,4,5,10,1,9,1,18,4,9,1,10,3,9,1,18,5,9,2,18,3,9,1,8,5,18,4,8,5,9,1,8,4,18,8,8,8,18,5,8,2,18,5,8,1,18,4,8,5,18,2,8,2,10,3,8,11,9,4,8,3,18,4,8,15,9,1,8,3,9,6,10,2,9,1,8,2,18,1,15,1,14,2,15,1,8,1,9,4,8,4,9,1,10,2,8,1,18,4,8,1,18,1,14,3,18,2,8,1,10,4,8,1,18,2,8,3,18,1,14,3,18,1,8,1,18,1,15,2,14,2,15,4,8,3,15,3,8,4,15,2,18,1,8,2,15,1,8,5,10,2,8,1,15,6,8,1,15,1,8,5,15,1,14,3,15,3,14,2,15,1,8,7,15,6,8,2,15,3,8,2,15,2,8,17,18,5,9,2,10,3,9,1,8,1,15,3,8,3,15,5,14,1,15,2,18,1,8,2,18,2,8,5,18,2,8,1,9,2,8,5,18,2,8,3,18,45,8,1,9,1,10,1,9,1,18,17,9,1,18,3,8,1,10,4,9,3,10,4,18,3,9,3,18,6,9,2,18,12,8,1,9,1,10,2,8,1,10,3,8,1,15,1,18,3,8,1,9,1,8,1,18,5,8,3,10,1,8,1,18,1,14,1,18,4,3,1,18,1,9,2,18,6,9,2,18,8,4,10,18,2,10,3,9,1,18,1,3,1,18,1,4,2,19,4,4,127,19,10,4,3,19,1,4,1,19,9,3,4,19,2,4,1,18,1,3,1,16,2,3,1,18,1,10,2,8,2,15,5,14,2,8,2,15,6,14,2,15,2,14,4,8,1,10,3,9,1,18,1,8,2,18,3,8,7,9,1,10,1,8,4,18,2,8,1,10,1,8,2,18,1,15,2,18,10,9,1,18,2,14,1,15,1,18,2,15,4,14,1,15,1,18,4,8,3,18,1,15,2,14,1,15,1,18,2,8,4,10,2,9,1,8,1,15,1,14,1,15,2,14,2,3,2,14,4,15,1,18,1,15,6,18,1,9,1,10,3,9,1,18,1,8,1,10,5,9,1,3,2,18,1,10,2,18,1,3,2,18,2,3,3,18,1,4,2,19,12,4,339,19,4,4,543,},
{4,645,3,1,16,5,3,1,18,1,9,1,18,2,10,1,3,2,16,1,3,1,16,5,3,4,16,29,3,1,16,3,3,4,16,9,3,3,16,9,3,2,18,1,10,3,18,1,3,2,14,1,18,1,10,11,18,1,3,2,18,1,10,3,18,2,8,1,10,2,8,8,10,1,8,1,18,2,8,1,10,65,18,2,8,1,10,81,8,7,18,1,14,1,18,1,8,1,10,4,8,1,18,2,8,4,10,4,8,1,18,1,15,1,14,2,15,2,8,4,10,2,8,1,14,3,15,1,8,1,9,2,10,4,8,2,10,3,8,1,18,3,15,1,14,1,15,1,18,1,8,2,18,2,8,1,18,1,14,2,8,1,10,3,8,1,18,3,8,1,10,3,8,2,10,13,8,1,18,1,8,1,10,17,8,6,10,1,8,1,10,14,8,4,10,6,8,3,10,10,4,3,10,3,4,21,19,3,4,2,19,14,4,11,18,1,10,70,8,3,10,29,8,2,10,2,8,4,18,1,4,11,10,1,9,1,18,4,8,1,10,3,8,1,18,5,9,2,18,3,8,7,18,2,8,2,9,1,10,3,9,1,8,4,18,8,8,7,18,6,8,2,18,4,8,4,18,2,8,4,18,3,8,2,10,3,8,2,18,1,8,2,10,2,8,3,9,3,8,3,9,1,8,1,18,4,8,19,9,5,10,3,9,1,8,1,18,2,14,2,15,1,18,1,8,1,9,4,8,3,9,3,10,1,9,1,18,10,10,6,8,1,18,6,14,3,18,1,8,2,18,1,15,5,8,1,15,1,8,4,15,2,8,1,10,2,8,1,15,2,18,1,8,2,18,1,8,8,15,4,14,1,15,4,8,4,15,1,14,4,15,1,14,3,15,1,8,7,15,2,14,2,15,2,8,7,15,4,8,15,18,7,9,1,10,3,8,1,15,4,8,2,15,2,14,1,15,4,18,1,8,3,18,3,8,2,9,1,8,1,18,2,8,1,9,1,10,1,9,1,8,4,18,3,8,1,18,1,15,2,18,35,8,1,18,8,10,3,9,1,18,16,9,1,18,4,10,4,9,1,18,2,9,1,10,3,18,2,9,1,10,1,9,4,18,5,9,2,18,11,8,5,10,3,8,1,18,4,8,2,18,7,8,4,18,6,3,1,18,1,9,2,18,1,3,1,18,4,9,2,18,3,9,1,18,4,4,10,18,3,10,3,18,3,4,2,19,5,4,128,19,8,4,3,19,12,3,3,19,1,4,3,3,2,16,2,3,1,10,3,8,1,14,2,15,2,14,3,8,3,15,5,14,2,15,2,14,4,8,1,10,3,9,1,18,1,8,2,18,2,8,4,10,2,8,2,10,2,9,1,8,1,9,1,8,1,18,2,8,5,15,3,18,6,3,1,18,5,14,1,15,1,18,3,15,3,14,2,18,1,8,6,18,1,15,5,8,6,9,2,8,1,14,3,15,2,14,8,15,1,14,1,15,2,18,1,15,2,14,1,8,1,10,3,8,3,10,2,18,2,10,1,18,1,3,2,18,5,4,2,18,1,3,1,16,1,3,1,4,3,19,12,4,886,},
{4,646,3,5,18,1,10,1,18,3,10,1,8,1,18,2,10,1,18,1,3,1,16,3,3,1,18,1,3,3,16,33,3,4,16,6,3,5,16,1,3,1,16,4,3,4,18,1,10,3,8,1,18,1,3,3,18,1,10,11,18,3,10,3,9,1,18,3,8,12,18,2,8,1,10,13,8,4,10,45,8,3,18,2,8,1,10,82,8,2,18,1,14,1,3,3,14,1,18,1,8,1,10,6,8,1,10,7,8,2,15,1,14,3,15,2,8,4,10,3,8,1,15,1,18,1,8,3,18,1,8,2,10,3,8,1,9,1,10,2,8,2,15,3,14,2,15,1,8,6,14,2,8,1,10,11,8,2,10,14,8,1,10,18,8,4,10,28,8,3,10,23,4,11,19,10,4,4,19,8,4,5,10,77,8,3,10,29,8,2,10,3,8,2,10,9,18,4,9,2,18,5,9,3,18,3,9,1,18,1,9,1,10,2,9,1,18,3,8,1,9,1,8,2,10,2,9,1,8,2,10,2,9,1,8,8,18,16,14,1,18,3,8,2,18,4,8,3,18,3,8,4,18,3,8,3,10,1,8,6,9,1,10,2,8,2,9,3,8,5,18,3,8,25,9,3,8,2,18,1,15,3,18,2,8,2,9,1,8,1,9,4,10,1,9,5,8,1,18,7,8,1,10,6,8,1,18,6,14,3,18,1,8,17,10,2,8,3,18,1,8,2,18,2,8,1,18,1,15,2,8,6,15,7,8,4,15,1,14,7,15,1,8,8,15,1,14,1,15,3,8,1,15,2,8,3,15,5,8,13,18,6,15,1,18,2,9,1,10,2,9,1,8,1,18,1,15,2,8,4,15,3,18,1,15,2,18,2,8,2,18,3,8,3,18,3,8,1,9,3,8,3,18,6,15,2,18,44,9,1,10,2,9,1,18,18,14,2,18,1,9,1,10,3,9,1,18,3,9,3,18,2,10,2,9,1,18,1,9,3,18,2,14,1,18,2,9,2,18,10,8,6,10,2,8,1,18,13,8,3,18,5,4,2,18,3,9,1,18,6,9,2,18,9,4,9,18,6,4,5,19,5,4,127,19,9,4,3,19,13,3,2,19,1,4,3,3,5,18,1,10,2,8,1,15,3,14,4,8,1,10,1,8,2,15,1,14,3,15,4,14,4,15,1,8,1,10,2,15,2,8,1,9,2,8,2,18,2,8,1,10,2,8,2,10,2,8,5,18,1,15,3,8,3,18,7,3,2,18,2,9,1,18,5,9,1,18,4,15,2,18,1,8,6,18,2,15,3,18,2,8,4,18,2,8,1,15,1,14,1,3,1,14,1,18,1,15,6,14,2,15,4,18,1,8,2,15,1,14,1,18,1,10,2,9,1,8,1,15,1,18,1,9,2,18,6,3,4,18,1,4,3,3,3,4,5,19,10,4,886,},
{4,647,18,1,4,2,10,2,8,1,9,2,8,1,10,4,18,1,10,1,3,1,16,2,3,1,18,3,3,2,16,33,3,5,16,4,3,5,16,2,3,2,16,2,3,4,18,2,10,1,9,1,18,1,3,1,14,1,3,3,18,1,10,11,18,2,10,5,18,3,8,12,18,2,8,1,10,12,8,7,10,43,8,2,18,3,8,3,10,38,8,3,10,39,8,1,18,1,3,1,16,4,14,1,8,2,10,13,8,2,15,1,14,3,15,6,8,1,9,2,8,7,15,1,18,1,8,1,9,1,10,5,9,1,8,2,14,2,15,1,14,3,8,1,10,4,8,1,14,2,8,1,10,10,8,3,10,33,8,3,10,30,8,1,10,25,4,9,19,11,4,4,19,7,4,5,10,44,9,1,10,33,8,2,10,35,8,1,10,9,9,3,18,4,9,1,18,9,9,2,10,5,18,3,8,1,9,1,8,1,9,1,10,7,8,10,18,19,8,2,18,4,8,3,18,3,8,17,9,1,10,2,8,2,9,2,8,6,18,2,8,1,9,1,8,2,9,2,8,24,18,2,14,1,15,1,8,1,9,2,18,4,9,2,10,4,9,1,8,2,10,2,8,1,18,2,8,4,10,7,8,1,18,3,8,2,18,4,8,8,10,1,8,9,10,3,8,2,18,2,8,3,15,2,18,2,15,2,8,5,15,4,14,2,15,1,8,4,15,1,14,4,15,3,8,8,15,3,8,2,15,3,8,2,15,3,8,1,15,1,8,4,15,1,8,5,18,1,8,3,18,9,8,1,9,3,8,1,18,1,15,1,8,6,15,5,18,2,8,1,18,5,8,2,18,3,8,1,9,3,8,3,18,2,15,2,18,2,15,2,18,30,8,1,18,5,14,2,18,6,9,1,10,2,9,2,18,17,14,2,18,1,9,1,10,3,9,1,18,4,9,2,18,1,9,1,10,2,9,1,18,2,9,1,10,1,9,1,18,1,14,2,18,1,9,1,10,1,18,14,15,1,18,1,10,2,8,1,18,16,4,8,18,20,4,12,18,3,4,5,19,5,4,127,19,25,3,2,19,1,4,2,18,2,3,5,8,1,10,1,8,2,15,3,14,2,15,1,8,4,15,1,14,3,15,1,8,2,15,2,14,4,15,1,8,1,15,1,14,2,18,1,9,1,10,1,9,1,8,1,18,3,8,4,9,2,18,2,8,2,9,1,8,1,15,1,14,1,15,1,18,1,8,2,18,8,3,1,18,2,9,2,18,3,9,2,18,4,15,2,18,2,8,2,18,11,8,3,15,3,14,1,3,2,14,1,18,1,15,1,18,1,8,3,18,1,15,6,18,1,8,2,15,1,14,1,15,1,8,3,15,2,18,1,8,1,18,3,3,5,16,2,3,1,18,1,4,3,18,4,4,4,3,2,19,8,4,886,},
{4,650,8,4,10,3,9,1,18,1,10,2,3,2,16,1,3,2,18,3,3,1,16,34,3,9,16,14,3,2,18,2,3,6,14,1,8,1,10,18,8,3,10,2,8,10,18,2,8,1,10,4,8,1,10,6,8,9,10,42,8,2,18,3,8,1,10,1,8,1,10,38,8,3,10,39,8,1,18,1,3,1,16,4,14,1,10,2,8,2,18,2,8,3,10,3,8,3,18,1,15,1,14,4,15,5,18,1,8,1,9,1,8,12,10,4,9,1,8,2,15,1,14,2,15,1,14,3,8,1,10,4,8,1,15,1,14,1,8,3,10,8,8,2,10,34,8,3,10,56,4,8,19,12,4,4,19,5,4,7,10,4,8,1,10,58,8,1,10,14,8,3,10,43,18,7,9,3,18,7,8,1,9,1,10,4,9,1,10,1,18,4,8,2,9,1,10,3,9,1,10,1,9,1,8,3,18,3,8,4,9,1,8,1,18,3,8,3,18,12,8,2,18,4,8,3,18,3,8,15,9,1,8,1,9,1,10,1,9,1,8,3,9,1,8,6,18,1,8,2,9,1,8,2,9,2,8,5,9,1,8,17,18,2,15,1,14,1,18,1,9,1,10,1,9,1,8,1,18,2,8,1,9,1,10,5,9,1,8,2,9,2,18,3,8,2,9,1,8,1,10,7,8,1,18,3,8,3,18,3,8,8,10,1,8,10,10,2,8,2,18,2,8,7,15,2,8,4,15,2,8,1,15,2,14,2,15,1,8,5,15,1,14,3,15,2,8,10,15,1,8,4,15,2,8,2,15,3,8,9,10,1,8,2,18,1,8,3,18,3,8,1,9,1,18,5,8,5,15,1,8,6,15,6,18,1,8,1,18,5,8,2,18,3,8,1,9,3,8,1,9,1,8,2,18,1,15,2,18,2,15,2,18,36,14,2,18,6,8,1,9,2,10,2,9,2,18,15,14,2,18,1,9,1,10,3,9,1,18,4,9,3,10,3,18,3,9,1,10,2,18,5,9,1,18,3,9,1,8,3,18,19,4,3,18,6,4,11,18,6,8,3,18,3,9,1,18,3,4,14,18,3,4,1,19,8,4,126,19,26,3,2,19,2,18,4,3,2,16,1,3,1,14,1,8,3,15,6,8,3,15,2,14,4,15,5,14,3,15,2,14,3,15,1,9,1,10,2,8,1,18,12,9,2,18,7,15,2,18,6,14,1,18,2,9,2,18,3,8,2,18,5,15,2,18,3,15,4,18,5,15,2,8,3,15,1,14,1,15,1,14,1,3,2,14,1,18,1,15,1,18,1,8,3,18,1,15,7,18,3,14,2,18,1,8,1,18,1,15,2,18,2,8,1,10,1,18,1,3,3,16,4,3,4,18,1,4,2,18,1,3,7,4,3,19,4,4,887,},
{4,651,9,1,10,1,9,1,10,2,8,1,9,1,18,1,10,1,18,1,3,3,18,3,3,3,16,35,3,3,16,2,3,2,16,16,3,7,18,1,14,1,18,1,10,5,8,1,10,14,8,10,10,3,8,4,10,4,8,2,10,5,8,9,10,42,8,2,18,2,8,1,10,7,8,1,10,24,8,2,10,8,8,2,10,23,8,3,10,14,8,1,14,1,16,3,3,1,8,1,10,2,8,2,18,3,8,8,18,1,14,5,15,2,8,2,15,1,8,3,15,1,14,1,15,1,18,1,8,2,18,1,8,5,9,1,10,3,8,2,15,1,14,3,15,4,8,4,10,1,8,1,15,2,8,2,18,1,8,1,10,6,8,3,10,34,8,2,10,11,8,1,9,1,10,5,8,1,10,6,8,2,10,29,4,8,19,13,4,5,19,1,4,10,10,4,8,1,10,9,9,1,10,62,9,1,8,3,10,35,9,2,8,3,9,2,8,1,18,7,9,1,10,2,9,1,18,5,8,1,9,1,10,3,9,1,10,1,9,2,18,6,9,1,10,2,9,1,8,4,18,5,8,14,18,10,8,3,18,3,8,4,18,1,8,4,18,1,8,5,18,2,8,3,10,5,9,1,8,6,18,1,8,3,18,2,8,1,9,1,8,2,9,3,8,3,9,1,10,1,9,1,8,16,18,2,14,2,18,1,10,2,9,1,8,1,18,2,8,1,9,1,10,5,9,2,8,1,9,1,8,1,18,3,8,1,9,2,8,1,10,8,18,3,8,14,10,1,8,29,15,5,14,2,15,2,8,5,15,3,8,17,15,2,8,1,15,4,8,12,18,1,8,4,18,2,9,2,8,1,18,8,8,7,15,3,18,1,15,3,18,12,8,2,9,1,8,2,9,1,8,2,18,1,15,1,14,1,18,2,15,1,18,37,14,1,15,1,18,7,9,2,10,4,9,1,18,17,9,1,10,3,9,1,18,3,9,1,10,5,9,1,18,4,9,1,10,1,9,3,18,7,8,3,18,13,4,11,18,1,4,14,18,1,9,1,18,3,8,3,18,3,9,3,18,3,4,13,18,3,4,1,19,8,4,125,19,27,3,5,18,4,3,4,14,1,8,7,15,3,7,1,15,1,8,1,15,1,14,4,7,1,15,1,8,1,15,2,14,2,15,1,14,2,3,1,14,1,15,1,8,3,18,14,9,2,18,6,15,3,18,1,8,3,18,16,15,3,18,1,15,2,14,2,15,2,18,2,15,5,8,1,18,1,15,3,14,1,3,2,14,1,15,3,8,3,15,4,14,4,15,3,14,2,15,1,18,2,15,1,18,5,9,1,18,1,3,1,16,9,3,1,4,2,18,1,3,1,16,2,3,4,18,1,4,2,19,3,4,888,},
{4,655,18,1,8,2,10,1,18,5,10,1,18,1,3,4,16,29,3,1,16,22,3,2,16,3,3,6,18,1,8,2,18,2,10,4,8,1,9,1,10,9,8,1,18,2,8,8,15,2,8,2,10,4,8,3,10,3,8,2,10,6,8,8,10,44,8,1,18,2,8,1,10,7,8,1,10,3,8,3,10,16,8,2,18,2,8,1,10,32,8,1,18,1,8,1,10,15,8,1,18,1,14,1,3,1,14,1,10,4,8,13,18,3,15,2,8,7,18,1,14,1,3,1,14,5,15,1,8,2,18,2,8,2,10,2,8,1,18,1,14,5,15,1,8,4,15,1,18,1,8,2,18,2,8,2,18,1,8,1,10,2,8,7,10,33,8,3,10,7,8,1,10,3,8,2,10,5,8,2,10,5,8,2,10,28,4,8,19,14,4,9,18,6,10,79,8,3,10,11,8,2,10,6,8,2,10,14,8,2,18,4,8,1,18,7,9,1,10,4,8,1,18,3,8,1,9,1,10,3,9,4,18,7,8,1,9,1,8,1,18,9,8,4,9,2,8,22,18,3,8,4,18,1,8,10,18,1,8,4,10,5,9,1,8,8,9,1,8,1,18,2,8,4,9,3,8,2,9,1,10,3,9,1,8,2,9,2,8,4,9,1,8,6,18,2,15,1,14,1,18,1,9,1,10,1,9,2,8,2,9,2,10,3,9,5,8,4,9,3,8,3,9,1,10,6,8,1,18,2,8,17,15,2,8,15,10,2,8,8,15,9,8,18,10,1,8,7,15,4,8,1,15,1,8,11,18,2,8,4,18,2,9,1,10,1,9,1,18,8,8,5,15,8,18,8,8,1,18,4,8,5,9,1,8,2,18,2,15,2,18,24,8,2,18,23,8,1,9,1,10,3,9,1,18,17,9,1,10,3,9,4,10,5,9,1,18,6,9,2,10,2,9,1,18,12,8,1,18,8,4,22,19,3,4,2,10,2,9,1,18,2,8,3,18,2,8,1,9,2,18,5,4,6,19,3,4,4,18,2,4,1,19,8,4,125,19,19,4,2,19,8,3,3,18,5,14,1,3,3,14,1,8,6,15,1,14,2,7,1,8,3,14,5,15,2,8,1,15,5,14,4,15,2,18,2,4,13,18,8,15,1,18,22,15,6,14,2,15,9,18,1,8,1,18,2,15,1,14,1,3,2,14,1,15,3,18,1,8,1,18,1,15,2,14,1,15,2,14,4,15,2,14,2,15,1,18,1,15,2,18,2,3,3,18,1,10,1,18,1,3,1,16,8,3,3,18,1,3,1,16,2,3,4,4,2,19,2,4,890,},
{4,656,9,1,8,1,18,5,10,1,18,1,3,3,16,29,3,4,16,21,3,9,18,1,9,1,10,2,8,1,18,2,10,2,8,1,18,2,10,10,18,4,8,2,18,4,15,2,8,2,10,1,8,1,10,17,8,7,10,45,8,1,18,1,8,1,10,11,8,4,10,16,8,1,18,3,8,1,10,33,8,2,10,17,8,3,10,3,8,3,10,2,8,2,18,1,15,1,18,2,8,8,18,1,8,6,15,1,3,2,14,6,18,1,8,5,10,2,8,1,18,1,14,5,15,1,8,2,18,1,15,1,14,2,8,3,18,2,8,5,18,5,8,1,10,18,8,1,10,10,8,7,10,11,8,3,10,6,8,1,10,4,8,3,10,28,4,8,19,13,4,9,10,1,9,2,8,1,18,2,8,1,10,93,8,1,10,7,8,2,10,8,8,2,10,4,9,1,8,1,18,6,9,1,18,3,9,2,10,5,9,1,18,3,8,1,9,1,10,2,9,1,18,2,9,2,18,2,10,1,9,1,18,14,8,5,10,2,9,1,8,3,9,4,8,14,18,3,8,4,18,1,8,15,10,6,8,7,9,1,10,2,8,1,18,1,8,5,9,1,8,4,9,1,10,1,9,1,8,4,9,1,8,10,18,4,15,1,18,1,9,1,10,1,9,8,8,2,9,2,10,1,9,1,8,2,10,5,9,1,10,1,8,4,10,5,8,1,18,1,8,17,15,1,8,9,10,1,8,4,18,1,8,1,9,1,10,1,8,8,15,10,8,20,15,1,8,4,15,1,14,1,15,1,8,5,10,1,8,4,15,6,18,1,8,5,9,5,18,6,8,4,15,6,18,2,15,2,18,4,8,4,18,4,8,8,18,2,15,2,18,24,9,3,18,5,15,2,18,16,9,1,10,2,9,1,18,9,9,1,18,3,9,2,18,5,9,2,10,5,9,4,18,8,9,1,10,3,18,16,8,1,18,3,4,23,19,3,4,2,10,3,8,5,18,2,8,1,10,1,9,1,18,5,4,6,19,4,4,7,19,6,4,125,19,20,4,2,19,8,3,6,18,3,3,1,16,3,14,1,8,5,15,1,14,2,7,1,8,3,14,6,15,7,14,5,3,1,18,1,4,14,18,8,8,3,18,2,15,1,18,2,8,1,18,15,15,17,18,1,8,2,15,1,14,1,3,2,14,2,15,6,14,2,15,2,14,2,3,1,14,2,15,1,14,1,15,2,18,1,15,4,3,3,18,1,10,2,3,1,16,11,3,2,16,2,3,1,18,1,3,2,18,1,4,1,19,2,4,1,18,1,4,888,},
{4,656,10,3,18,2,3,1,18,1,3,3,16,32,3,2,16,25,3,1,16,3,3,2,18,1,10,2,18,3,8,1,10,2,18,3,10,10,8,1,18,2,8,3,18,2,15,1,18,2,8,2,10,2,8,3,10,12,8,1,10,2,8,6,10,46,8,1,18,1,8,1,10,11,8,3,10,17,8,1,18,3,8,1,10,33,8,2,10,10,8,1,10,6,8,4,18,4,8,4,18,1,14,2,18,1,8,8,18,1,15,4,18,1,8,2,15,1,14,1,3,1,14,1,15,1,14,2,3,1,14,1,18,1,8,3,10,2,9,1,8,3,15,1,14,4,15,1,8,2,15,1,14,3,8,3,18,2,8,4,18,1,15,1,14,2,18,1,8,2,10,17,8,2,10,10,8,6,10,12,8,3,10,12,8,2,10,28,4,9,19,5,4,2,19,4,4,10,10,3,8,4,10,15,4,6,10,80,8,2,10,9,8,1,10,4,8,2,18,4,8,1,9,3,18,1,9,1,10,7,9,1,18,3,8,2,9,1,10,1,9,1,18,2,9,2,18,1,8,1,10,2,18,12,8,5,9,2,10,2,9,1,8,21,18,3,8,4,18,1,8,6,18,1,8,7,9,1,10,7,8,5,9,1,10,3,8,12,9,3,8,6,9,1,8,8,18,6,9,3,8,2,9,3,8,2,18,2,8,1,9,1,10,2,9,1,10,9,8,1,18,2,8,1,10,5,8,4,18,3,8,14,10,2,8,4,10,5,8,1,15,2,8,10,15,5,8,2,15,4,8,18,15,1,14,1,15,1,8,3,15,3,8,1,10,1,8,9,15,1,14,2,15,4,18,2,8,5,9,3,8,1,18,3,8,5,15,6,18,7,8,8,18,4,8,5,18,24,15,1,18,3,9,3,18,5,15,2,18,17,9,2,18,9,9,3,18,1,9,1,10,2,9,1,18,5,9,1,10,4,9,1,18,7,9,2,18,4,10,3,9,1,18,19,4,23,19,3,4,2,9,1,10,3,8,4,18,2,8,1,10,2,18,6,4,6,19,7,4,6,19,2,4,126,19,7,4,1,19,12,4,2,19,3,3,2,18,2,3,8,18,2,3,1,16,3,14,1,8,3,15,1,7,2,14,2,7,1,8,2,7,1,14,3,7,1,14,2,7,1,15,4,8,1,15,2,14,4,16,1,3,1,4,15,18,6,8,4,18,1,15,1,14,2,15,1,8,2,18,12,8,1,18,2,15,4,18,3,15,10,18,2,15,1,14,5,15,6,14,2,15,2,14,4,15,10,14,1,3,1,18,2,9,1,18,1,3,1,16,15,3,1,4,1,18,1,3,3,19,2,4,890,},
{4,658,8,1,10,1,18,2,3,2,16,34,3,2,16,29,3,1,18,1,10,3,18,1,3,1,18,1,8,1,10,1,8,1,18,3,10,11,18,3,8,1,18,2,15,2,18,1,8,1,18,1,8,1,10,2,8,1,18,1,8,1,10,11,8,9,10,47,8,1,18,1,8,1,10,32,8,4,10,45,8,3,10,3,8,4,18,1,14,1,18,3,8,4,18,1,15,2,18,1,8,7,18,1,15,3,14,1,15,5,14,2,15,1,18,1,14,2,3,1,14,1,15,1,8,3,10,2,8,5,18,1,15,1,14,3,15,1,18,1,15,1,14,3,18,1,8,2,18,1,15,1,8,1,10,2,8,1,18,1,15,1,14,2,18,1,8,1,10,19,8,2,10,9,8,5,10,14,8,2,10,12,8,2,10,26,9,1,10,1,4,17,19,1,4,11,10,5,8,3,10,15,4,7,10,79,8,1,10,10,8,3,10,1,8,6,9,7,10,7,9,1,8,1,18,1,8,4,18,5,9,2,10,2,9,1,18,12,8,5,9,2,10,2,9,1,8,16,18,1,8,4,18,3,8,3,18,3,8,4,18,4,8,6,10,7,8,6,10,3,9,1,8,1,9,1,8,14,18,1,8,3,9,1,8,8,18,5,8,2,9,1,8,8,18,2,8,2,10,2,9,1,10,6,9,1,10,2,8,1,18,3,10,5,8,4,18,3,8,14,10,3,8,3,10,4,9,1,8,1,18,1,15,1,8,12,15,3,8,4,15,3,8,10,15,2,8,1,15,2,14,1,15,1,14,3,8,3,15,1,18,1,8,1,10,2,8,9,15,1,14,2,15,2,14,2,15,1,18,1,9,2,18,3,9,3,8,1,18,3,8,6,15,5,18,7,8,8,18,4,8,5,18,24,15,1,18,4,8,1,18,16,15,1,18,18,9,6,10,2,9,1,18,6,9,1,10,3,9,1,18,1,14,1,18,5,9,2,18,4,9,1,10,4,9,1,8,2,18,15,4,23,19,3,4,2,18,1,10,1,9,1,8,5,18,2,8,1,10,3,4,11,19,7,4,2,18,2,4,130,19,20,4,3,19,2,3,2,18,2,3,7,14,1,18,2,14,1,16,3,14,1,15,1,8,2,15,1,7,2,14,2,7,1,8,1,7,1,14,2,17,1,14,7,15,6,14,3,16,1,3,1,4,19,18,3,8,3,18,1,15,1,14,2,15,1,8,2,15,1,18,3,8,2,18,5,8,4,18,1,15,2,18,1,8,2,18,2,15,4,18,2,15,6,14,5,15,2,14,2,15,2,14,8,15,1,8,1,15,4,14,4,18,6,3,2,16,13,3,1,18,1,4,2,18,1,3,2,4,1,19,1,4,890,},
{4,658,8,2,10,1,18,2,3,1,16,5,3,1,16,59,3,1,9,1,10,2,18,4,8,1,10,1,8,1,18,3,8,1,10,10,18,7,15,1,18,2,15,2,8,4,10,12,8,8,10,48,8,1,18,1,8,2,10,81,8,2,10,2,8,1,15,2,8,1,10,1,8,1,18,1,8,11,18,3,15,1,18,3,15,4,14,1,15,4,14,3,15,1,18,1,14,2,3,1,14,1,18,1,8,3,10,2,8,1,18,1,8,2,10,1,9,1,18,1,14,8,15,1,18,1,8,2,18,1,14,1,18,1,10,2,8,1,18,5,8,1,10,19,8,1,10,10,8,1,10,2,8,3,10,13,8,2,10,42,4,22,10,29,4,11,10,76,8,1,10,10,8,8,10,3,9,4,18,1,9,1,10,7,9,1,8,2,9,1,8,2,18,6,9,1,10,2,9,1,18,7,8,2,18,3,8,8,9,1,10,1,8,2,18,2,8,9,18,5,8,4,18,4,8,2,18,4,8,3,18,4,8,6,9,1,10,6,8,3,18,2,8,1,9,1,10,2,9,1,8,1,9,2,8,3,9,1,8,8,18,3,8,11,18,5,8,1,9,2,8,11,9,1,10,8,8,2,10,3,18,3,10,5,8,10,18,2,8,2,10,1,8,6,10,4,8,1,10,5,8,4,18,1,8,1,10,2,8,9,15,3,8,11,15,1,8,4,15,1,14,1,15,2,14,4,3,1,14,1,8,3,18,1,8,2,10,3,8,2,18,2,8,4,15,1,14,2,15,1,18,1,14,2,15,1,18,1,10,1,9,1,18,3,8,1,9,2,8,1,18,3,8,7,15,4,18,7,8,8,18,4,8,5,18,46,14,1,15,1,18,16,9,6,18,2,9,3,18,5,9,1,10,2,9,1,18,2,14,1,18,13,9,1,10,2,9,1,8,2,18,15,4,3,19,2,4,1,19,1,4,16,19,3,4,3,18,7,8,2,10,4,4,10,19,8,4,2,18,1,3,1,18,1,4,129,19,20,4,3,19,4,18,1,3,4,18,5,8,2,14,1,3,1,16,1,14,1,15,2,7,1,15,1,8,2,7,1,14,2,7,3,14,2,17,1,14,8,15,7,14,2,3,1,4,20,18,3,8,3,15,4,8,1,15,2,18,3,8,2,18,5,8,4,18,1,15,1,18,2,8,2,18,2,15,3,18,4,15,4,14,2,15,1,14,3,15,2,14,5,3,1,14,6,8,2,15,3,14,5,3,2,18,4,3,4,16,11,3,1,4,10,18,1,4,3,19,2,4,882,},
{4,659,9,1,8,1,10,1,18,1,3,1,16,4,3,2,16,59,3,1,10,2,18,1,3,1,18,2,3,1,18,2,8,1,18,3,8,1,10,10,8,1,18,7,8,2,15,1,14,2,18,1,8,1,10,13,8,8,10,48,8,2,18,1,8,2,10,84,8,1,14,2,8,8,10,2,8,2,10,1,8,2,18,2,15,1,14,2,15,1,18,2,8,1,18,1,15,2,18,1,8,3,18,1,15,2,8,2,15,1,14,2,18,1,8,1,10,1,9,1,10,3,8,1,18,2,8,1,10,2,8,1,14,7,15,2,18,3,15,1,14,1,18,1,10,2,8,1,18,3,8,2,10,3,8,1,10,30,8,3,10,13,8,2,10,42,4,10,10,4,4,7,10,20,8,2,10,8,4,11,10,20,8,5,10,51,8,1,10,10,8,7,9,1,10,4,9,3,18,1,9,1,10,7,9,3,10,2,8,1,18,4,8,1,18,1,9,1,10,3,18,6,9,4,8,15,18,3,8,8,18,4,8,4,18,4,8,1,18,5,8,2,18,5,8,7,10,6,8,2,18,4,8,1,9,1,10,1,8,2,9,2,8,2,9,2,8,4,9,2,8,3,18,1,8,6,18,3,8,5,18,1,8,4,9,1,8,7,9,5,10,2,9,1,10,4,9,1,18,1,8,1,10,3,8,1,18,2,8,1,10,3,8,2,10,4,8,5,18,1,15,1,18,1,8,1,10,1,8,7,10,3,8,1,10,5,8,6,10,2,9,1,8,5,10,1,8,2,15,2,8,10,15,4,8,2,15,1,14,8,3,1,14,1,18,1,8,1,18,1,8,2,10,1,8,4,15,1,14,1,18,4,8,2,14,2,18,2,15,2,18,1,8,1,10,1,9,1,18,3,8,1,9,2,8,1,18,3,8,9,15,1,18,5,15,2,18,1,8,8,18,3,8,1,9,2,8,2,18,47,14,2,18,16,9,5,18,5,9,2,18,5,9,3,18,5,9,1,18,5,9,1,10,1,9,1,18,3,10,2,9,1,8,1,18,17,4,1,19,6,4,15,19,3,4,3,18,7,8,1,10,1,8,1,10,3,4,10,19,9,4,3,18,1,4,129,19,20,4,3,19,2,18,2,3,4,18,2,8,1,18,1,8,4,15,1,14,1,15,1,8,2,15,1,7,1,8,4,14,17,15,1,14,1,15,1,8,2,15,1,14,2,18,2,4,20,18,4,8,2,18,1,15,2,8,1,15,2,18,3,8,2,18,6,8,4,18,3,8,2,18,2,15,4,18,2,15,4,14,3,15,2,14,2,15,2,14,5,3,4,14,3,8,2,18,1,15,1,14,2,15,3,14,1,3,3,18,5,3,4,16,9,3,1,4,14,19,3,4,881,},
{4,660,10,2,18,2,3,5,16,59,3,1,18,1,10,2,3,3,18,1,3,2,18,5,10,6,8,1,18,1,8,1,10,2,8,10,18,1,15,1,14,1,8,1,10,14,8,8,10,49,8,1,18,2,8,1,10,84,8,1,18,2,8,7,10,4,8,5,18,1,15,3,18,1,8,8,10,2,9,1,8,7,10,7,8,1,18,1,15,1,8,1,10,2,8,1,15,2,14,2,3,1,14,2,15,1,18,1,15,5,8,1,10,2,8,1,18,2,8,7,10,30,8,5,10,11,8,2,10,56,4,6,10,20,8,3,10,7,4,12,10,19,8,6,10,51,8,2,10,9,8,2,18,1,8,4,9,1,10,3,9,1,8,2,18,2,9,1,10,7,9,2,10,3,9,1,8,1,18,2,8,1,9,1,18,1,9,1,10,3,18,6,9,4,8,1,18,2,8,4,18,2,8,8,18,1,8,8,18,4,8,4,18,3,8,2,18,5,8,2,18,4,8,7,9,3,10,3,9,1,8,1,18,5,8,4,18,1,8,4,9,3,8,3,9,2,8,9,18,3,8,6,18,1,8,4,9,2,8,6,9,2,10,4,9,1,8,1,9,1,10,3,8,1,18,2,9,1,10,2,9,1,8,1,18,1,8,1,9,2,8,3,10,7,8,2,15,3,8,2,18,1,15,1,8,9,10,5,8,5,10,4,8,5,10,1,8,14,15,1,14,1,15,2,8,2,15,1,14,8,3,1,14,1,18,1,8,1,18,1,8,1,10,2,8,3,18,1,14,2,18,3,8,3,15,2,8,2,18,3,8,1,9,2,18,3,8,4,18,3,8,9,15,1,18,5,15,2,18,1,8,8,18,3,8,1,10,2,9,1,8,1,18,38,8,1,18,29,9,1,18,3,14,1,18,2,9,3,8,1,18,6,8,1,9,6,18,2,14,1,18,1,9,1,10,2,8,1,14,1,18,1,9,1,10,1,8,1,18,18,4,2,19,5,4,22,18,7,9,1,18,1,9,1,10,2,4,4,3,3,18,1,4,6,19,5,4,134,19,18,4,4,18,4,3,4,18,2,8,1,18,1,8,4,15,2,8,3,15,1,7,1,8,4,14,1,17,2,14,2,7,3,14,1,17,1,14,10,8,2,15,3,18,2,4,21,18,4,8,5,18,1,15,3,18,1,8,3,18,1,8,2,18,2,8,4,18,1,15,1,18,4,15,10,14,4,15,2,14,2,15,2,14,4,3,5,14,1,3,1,14,1,18,1,8,1,15,8,14,1,3,3,18,3,3,3,18,1,3,2,16,8,3,1,18,1,4,7,19,1,4,4,19,6,4,879,},
{4,661,10,1,4,3,10,1,18,1,3,1,16,57,3,1,16,1,3,2,18,3,3,1,16,1,3,2,16,1,3,1,14,1,18,4,8,1,10,5,8,1,18,2,8,1,10,6,8,6,15,2,8,1,10,14,8,1,18,1,8,7,10,48,8,1,18,3,10,19,8,2,10,56,8,1,10,5,8,4,18,2,8,5,10,4,8,7,18,1,8,7,10,6,9,1,8,4,10,6,8,1,10,3,8,1,15,2,8,3,18,2,15,1,14,4,15,1,18,1,15,2,18,3,8,1,10,2,18,1,14,1,15,1,8,1,10,2,8,3,10,31,8,6,10,1,8,2,10,65,4,5,10,31,4,12,10,19,8,4,10,8,8,2,10,43,8,2,10,9,8,7,9,1,10,3,9,1,18,1,9,4,10,7,9,2,10,3,9,1,8,1,18,2,8,1,9,1,18,1,10,5,18,6,9,2,8,2,18,1,8,11,10,1,9,1,8,6,9,1,10,1,8,3,18,3,8,5,18,3,8,3,18,3,8,2,18,2,8,10,9,1,8,3,10,2,8,1,18,6,8,3,18,3,8,9,9,3,8,4,9,1,8,3,18,3,8,19,9,2,10,3,9,1,8,3,10,2,9,1,8,1,18,2,8,1,9,1,10,2,9,1,8,7,10,5,8,1,10,1,8,2,18,3,8,2,14,2,15,1,8,9,10,4,8,1,18,1,8,3,10,4,8,17,10,1,8,2,15,1,14,1,15,1,8,2,15,3,14,9,18,1,8,3,10,1,8,2,14,2,3,3,18,3,8,4,18,1,8,3,18,1,8,4,18,4,8,2,18,4,8,9,15,2,18,2,8,1,18,1,15,2,18,1,8,4,18,2,8,2,18,2,8,1,10,4,8,1,18,12,8,1,18,25,8,2,18,5,8,1,18,29,9,3,18,8,9,1,10,4,9,1,18,4,9,1,10,2,9,1,18,3,9,1,8,1,18,6,8,2,18,10,4,3,19,4,4,27,18,5,10,2,4,4,3,1,16,1,3,2,4,2,18,2,4,3,19,2,4,136,19,17,4,2,19,1,18,4,3,5,14,1,8,3,15,1,8,9,15,1,7,1,8,2,7,1,14,1,17,1,16,2,17,1,14,1,7,3,14,1,17,2,14,9,15,4,8,2,18,2,4,21,18,3,8,5,18,1,15,3,18,1,9,2,8,4,15,2,18,1,8,3,18,1,15,10,14,2,15,4,14,2,15,7,14,4,3,7,14,1,15,1,18,1,15,4,18,6,3,2,18,3,3,6,16,1,3,2,16,5,3,2,18,1,3,1,18,1,4,8,19,8,4,878,},
{4,666,18,1,16,32,3,3,16,25,3,6,16,4,3,1,18,1,9,1,18,4,10,7,8,1,18,1,8,10,18,2,15,2,8,1,10,4,8,1,10,8,8,1,18,2,8,7,10,48,8,1,18,3,8,1,10,12,8,2,10,4,8,3,10,54,8,5,10,2,8,4,14,1,18,1,10,2,8,2,18,1,8,2,10,3,8,8,10,3,8,5,10,3,9,1,8,6,10,3,8,1,15,1,14,1,15,1,8,1,10,1,9,1,15,1,14,3,18,1,8,4,15,1,14,2,15,4,18,1,8,2,10,2,8,1,15,1,14,2,18,1,10,2,8,3,10,31,8,10,10,100,4,3,19,5,4,4,10,32,8,2,10,7,8,4,10,8,9,1,8,1,10,20,8,3,10,9,8,3,10,2,9,1,8,2,9,1,10,2,8,2,10,12,9,2,10,1,8,3,18,2,8,2,9,1,10,2,4,5,18,9,8,1,9,3,8,6,10,3,8,5,9,2,10,1,9,1,8,2,18,3,8,6,18,2,8,4,18,2,8,2,18,2,8,8,10,3,8,2,18,1,8,2,18,2,8,6,9,1,8,1,18,6,8,7,9,2,8,3,9,3,8,2,18,3,8,3,9,1,8,4,18,4,8,8,9,2,10,2,9,2,8,2,9,1,10,2,9,1,8,2,18,1,8,1,9,1,10,2,9,1,18,2,8,2,18,1,8,1,10,3,8,10,15,1,14,2,15,1,8,2,10,1,8,6,10,4,8,5,10,4,8,16,10,3,8,1,15,1,14,1,15,1,8,2,15,4,14,3,15,1,18,1,15,1,14,2,18,1,8,2,10,1,8,2,18,1,3,4,14,1,18,1,8,16,18,10,8,7,15,3,18,4,15,3,8,4,18,2,8,2,18,1,8,1,9,1,10,4,9,1,18,7,8,1,18,1,8,2,9,2,8,1,18,25,8,1,9,1,8,1,18,2,8,3,18,5,14,1,15,1,18,15,9,1,18,1,9,5,18,10,8,1,9,1,10,3,9,3,18,3,9,1,10,1,9,1,18,4,8,3,18,2,8,4,18,10,4,4,19,2,4,29,18,2,3,1,18,5,4,2,18,1,3,2,18,1,4,2,3,3,4,142,19,14,4,3,19,1,18,4,3,5,18,1,8,3,18,1,15,1,8,7,15,2,7,2,14,1,17,1,16,5,17,1,14,1,7,2,14,1,17,3,14,9,15,1,14,1,15,1,8,2,18,3,4,3,19,4,4,14,18,3,8,5,15,3,8,1,9,1,10,1,9,1,8,1,9,1,8,1,15,2,18,1,8,3,18,1,15,6,18,1,15,2,14,4,15,13,14,5,3,6,14,1,15,4,18,1,8,2,18,5,3,3,18,2,3,3,16,3,3,3,16,4,3,6,18,1,4,2,3,1,19,4,4,2,19,5,4,3,19,4,4,871,},
{4,666,3,1,16,31,3,5,16,1,3,1,16,22,3,6,16,3,3,1,18,2,8,1,18,2,14,1,18,1,10,8,18,3,8,3,18,7,8,2,10,4,8,2,10,7,8,1,18,3,8,7,10,49,8,1,18,2,8,1,10,11,8,3,10,4,8,1,18,2,8,1,10,53,8,9,10,1,8,1,14,2,10,2,8,1,18,3,8,2,10,6,8,2,10,6,8,4,10,2,8,2,15,3,8,2,10,3,8,1,15,1,14,3,15,1,10,2,15,1,14,3,15,1,8,4,18,1,14,2,15,3,18,1,8,2,10,3,8,1,15,1,14,2,8,1,10,2,8,2,10,31,8,10,10,66,9,5,10,30,4,2,19,6,4,4,10,40,8,5,10,8,9,1,10,21,8,2,10,10,8,3,10,3,9,1,8,1,9,3,18,1,8,1,9,1,10,10,9,2,8,1,9,1,8,4,9,2,10,3,4,6,18,1,9,1,18,8,9,4,8,6,10,2,8,11,18,3,8,2,9,2,8,12,18,2,8,8,10,2,9,1,8,1,18,3,8,1,18,2,8,8,18,2,8,11,9,2,8,3,9,3,8,2,18,3,8,2,9,2,8,16,9,4,8,6,9,2,8,2,18,1,8,2,9,1,10,1,9,1,18,2,8,4,9,1,8,12,15,1,14,2,15,1,8,10,10,2,9,1,8,2,18,1,8,2,10,3,8,10,10,1,8,6,10,3,8,1,15,3,8,2,15,2,8,2,15,1,14,1,15,1,18,3,15,2,18,1,8,4,18,2,3,4,14,1,18,2,8,16,18,10,8,6,15,3,18,4,15,2,18,1,8,4,18,2,8,2,18,1,8,1,9,1,10,4,8,1,18,11,9,3,8,1,18,25,9,1,8,1,18,2,8,3,18,5,15,1,18,16,9,2,10,1,9,3,18,11,8,1,9,5,10,2,8,1,18,3,9,3,18,4,8,8,18,12,4,11,19,5,4,18,18,1,3,4,18,2,4,6,19,2,18,1,3,1,18,1,4,144,19,13,4,1,19,1,18,2,3,7,14,1,18,1,8,3,18,1,15,1,8,7,15,2,7,1,14,1,16,9,14,3,17,4,14,11,15,1,8,2,18,4,4,1,19,5,4,14,18,3,8,4,15,3,8,1,9,3,8,1,9,1,8,1,18,1,15,1,18,1,8,3,18,2,15,1,14,1,15,6,14,4,15,5,18,1,8,1,18,1,15,6,14,7,3,3,14,3,15,2,18,3,15,2,18,3,3,4,18,1,3,2,16,4,3,2,16,5,3,3,16,2,3,6,19,2,4,3,19,4,4,3,19,6,4,870,},
{4,665,3,1,16,31,3,8,16,25,3,2,16,4,18,1,10,1,18,4,3,1,18,1,10,8,18,4,8,2,18,3,8,3,18,1,8,1,10,4,8,1,18,1,8,1,10,6,8,1,18,3,8,8,10,49,8,3,10,13,8,1,10,4,8,1,18,3,8,1,10,58,8,4,10,1,8,1,18,2,8,1,10,1,8,2,18,2,8,1,10,7,8,2,10,2,8,2,10,4,8,2,10,2,8,1,15,1,14,2,15,1,8,1,10,3,8,1,18,1,15,4,8,1,10,1,8,1,15,1,14,1,15,2,14,2,18,1,8,1,18,1,15,1,14,2,15,3,18,1,8,6,18,1,8,2,10,36,8,10,10,11,8,1,10,55,8,2,10,32,4,1,19,7,4,4,10,29,8,2,10,10,8,3,10,12,8,2,10,16,8,1,10,12,8,4,10,1,9,6,18,3,10,5,9,4,8,1,9,1,8,1,9,1,8,4,18,1,8,1,10,4,4,6,18,1,9,3,10,1,9,1,18,5,8,10,9,1,8,1,18,3,8,4,18,6,8,1,9,1,10,4,9,1,8,9,18,4,8,2,18,3,8,2,10,1,8,1,18,7,8,4,18,4,8,1,9,1,10,2,9,2,10,3,8,10,9,1,8,3,18,3,8,2,9,2,8,5,10,1,9,3,8,2,18,2,8,2,9,2,10,1,9,1,8,6,18,2,8,1,18,1,8,2,9,1,8,1,9,2,8,2,18,1,8,2,10,2,8,2,18,2,8,20,15,1,8,6,18,2,8,2,9,1,10,2,8,2,18,1,8,6,10,2,9,1,8,4,9,1,10,2,8,3,15,2,8,1,18,1,15,2,18,1,8,2,18,1,8,1,18,3,15,1,18,1,8,3,18,6,3,4,18,1,8,12,9,1,8,2,18,2,15,2,18,5,8,1,18,1,8,6,15,2,18,1,8,2,18,11,8,2,18,2,8,1,9,3,18,9,15,1,18,3,8,1,9,3,18,5,9,1,18,2,15,1,18,6,15,1,18,10,8,1,18,3,8,1,18,23,9,1,10,2,8,1,18,10,8,1,9,4,18,2,9,1,10,3,9,1,18,3,8,1,9,1,8,2,18,6,9,1,18,17,4,11,19,7,4,15,18,1,3,3,18,3,4,4,19,5,4,146,19,13,18,3,3,8,14,1,15,1,8,7,15,2,8,5,14,1,16,12,17,1,6,1,17,2,16,2,17,1,14,9,15,1,8,2,18,4,4,1,19,5,4,14,18,4,8,1,18,2,15,2,18,1,8,2,9,2,8,3,18,5,8,2,18,1,15,1,14,1,15,3,14,3,15,2,14,2,15,1,18,1,15,2,18,1,8,1,9,1,8,1,15,1,14,3,15,9,14,1,3,3,14,2,15,4,14,4,18,3,3,6,16,17,3,5,18,1,4,2,19,5,4,5,19,6,4,869,},
{4,665,3,1,16,31,3,3,16,1,3,4,16,31,3,1,10,1,18,5,8,1,10,8,8,2,18,1,8,3,18,3,8,5,10,4,18,2,8,1,10,6,8,1,18,3,8,7,10,70,8,2,18,2,8,2,10,58,8,4,10,2,18,1,15,1,18,1,8,5,10,4,8,1,10,3,8,7,10,3,8,5,15,1,14,3,8,1,10,3,8,1,18,2,8,4,10,1,8,1,15,2,8,2,15,2,8,3,18,3,8,2,18,2,8,2,10,1,8,4,10,37,8,1,10,4,8,4,10,6,8,2,10,5,8,2,10,2,8,2,10,51,8,1,10,16,8,1,10,8,9,1,10,5,4,2,19,7,4,4,10,24,8,1,10,4,8,2,10,20,9,1,10,4,8,3,10,23,9,1,10,4,8,1,10,7,9,7,10,3,9,1,8,1,18,2,8,9,18,1,8,1,10,4,4,6,10,1,9,1,10,3,9,1,18,5,8,3,9,1,8,9,18,2,8,3,18,6,8,2,9,1,10,5,8,1,18,4,8,5,18,3,8,2,18,3,8,1,10,2,8,1,18,1,8,10,18,4,8,1,10,3,9,2,10,3,9,1,8,6,18,1,8,7,18,2,8,2,9,2,8,4,9,1,10,3,9,1,8,1,18,3,8,2,9,3,8,2,18,2,8,2,18,5,8,1,10,2,8,5,18,1,8,2,10,2,8,1,18,1,15,1,18,1,8,1,10,1,9,1,8,13,9,1,8,3,15,2,8,3,18,4,8,7,18,2,8,4,9,1,10,1,9,1,8,5,9,1,8,7,15,3,18,1,8,6,18,2,15,1,18,1,8,2,18,5,8,2,18,1,3,3,18,2,8,14,18,2,15,2,18,3,8,3,18,1,8,6,15,2,8,2,18,11,8,3,18,3,8,2,18,1,15,1,18,5,8,2,18,1,15,1,18,4,8,1,9,1,8,1,18,4,9,2,18,1,15,1,14,1,18,6,15,1,18,3,15,2,18,5,8,1,18,27,10,3,18,1,14,1,18,3,8,1,18,5,8,1,9,3,18,3,9,1,10,4,9,1,18,5,8,1,18,6,9,1,18,12,9,3,18,8,4,5,19,7,4,16,18,1,3,4,18,2,4,3,19,6,4,2,18,2,4,141,19,8,4,2,19,1,3,12,14,1,15,1,8,2,15,1,8,4,15,1,14,1,15,1,8,5,14,1,16,13,17,3,16,3,17,1,14,11,15,2,18,2,4,1,19,5,4,16,18,5,15,2,8,9,18,5,8,1,18,1,14,2,15,2,14,4,15,2,14,2,15,1,18,1,15,1,18,2,8,1,9,1,8,1,15,1,14,3,15,1,18,1,15,4,18,1,15,2,14,2,3,3,14,2,15,2,14,6,18,2,14,1,3,5,16,2,3,4,16,15,3,2,4,4,19,2,4,1,18,2,4,2,19,8,4,868,},
{4,665,18,1,3,1,16,16,3,2,16,16,3,1,18,2,3,2,16,30,3,3,18,1,10,11,8,1,10,3,8,2,18,4,8,4,10,5,18,2,8,1,10,6,8,8,10,72,8,6,10,60,8,3,10,1,8,1,18,1,14,1,18,1,8,5,10,3,8,11,18,1,8,1,10,2,8,1,18,1,8,3,18,2,15,1,14,1,15,1,8,1,10,3,9,2,10,3,9,1,10,2,8,2,10,2,8,2,9,1,10,3,8,1,18,1,8,2,18,1,8,2,10,3,8,3,10,36,8,2,10,4,8,3,10,5,8,4,10,78,8,3,10,12,4,3,19,7,4,4,10,29,8,2,10,20,9,2,10,3,8,3,10,3,8,2,10,18,9,2,10,12,9,5,10,4,9,2,8,12,9,4,10,1,4,6,10,3,9,2,18,4,8,1,9,5,10,3,8,2,9,2,8,9,18,3,8,5,10,3,8,2,18,7,8,3,18,2,8,2,18,3,8,1,10,2,8,13,18,3,8,2,10,1,9,1,8,2,9,1,10,2,9,1,8,2,9,2,8,6,18,2,8,13,9,2,8,3,18,3,8,7,18,1,8,7,18,1,8,4,18,1,8,3,18,1,8,2,10,2,8,2,18,1,8,2,10,1,9,1,8,5,18,1,15,1,8,9,15,4,8,6,18,2,8,23,15,2,8,3,18,1,15,1,18,1,8,5,18,3,14,1,18,1,8,2,18,3,8,3,10,1,8,1,14,1,3,3,18,4,8,12,18,6,8,1,18,3,8,6,15,2,8,2,18,12,8,2,18,1,8,4,18,7,8,2,18,8,8,1,18,4,8,1,9,1,18,1,15,2,18,45,10,3,18,1,14,1,18,10,8,2,18,3,8,1,9,1,10,4,9,1,8,1,18,11,9,6,8,5,9,6,18,11,4,2,19,6,4,15,19,2,4,1,3,5,18,2,4,2,19,6,4,1,18,1,3,1,4,141,19,4,4,3,19,2,4,2,19,1,18,1,3,10,14,1,8,8,15,1,14,1,15,2,8,2,15,1,8,1,14,1,16,14,17,2,16,3,17,1,14,13,18,2,4,1,19,5,4,8,19,6,4,2,18,6,8,10,18,4,8,2,18,1,14,2,15,2,14,4,15,2,14,2,15,1,18,2,15,3,8,1,18,1,15,1,14,2,15,1,18,2,15,7,14,2,3,4,14,5,15,2,14,2,15,1,14,1,3,9,18,1,4,1,18,1,16,15,3,1,18,1,4,1,18,1,4,4,3,4,4,1,19,8,4,868,},
{4,665,18,2,3,1,16,15,3,3,16,15,3,5,16,31,3,2,8,1,10,10,8,2,10,4,8,1,18,4,8,3,10,5,8,1,18,1,8,2,10,6,8,7,10,15,8,1,10,55,8,6,10,17,8,1,10,6,8,1,10,37,8,5,14,2,18,1,8,5,10,3,8,2,18,1,15,1,18,1,8,2,15,2,8,2,14,1,15,1,8,3,15,1,8,5,18,1,14,3,8,1,10,6,8,2,10,2,8,2,10,8,8,7,10,48,8,2,10,5,8,5,10,78,8,3,10,12,4,3,19,6,4,5,18,1,10,49,9,2,8,2,10,2,8,4,10,1,8,4,10,17,9,1,8,1,9,1,10,1,9,1,10,18,9,5,8,8,10,2,18,5,4,5,10,3,9,1,18,4,9,6,10,5,8,1,9,2,8,14,18,1,8,6,18,8,8,11,10,2,8,15,18,3,8,1,18,3,8,3,9,6,8,3,18,4,8,23,18,1,8,7,18,1,8,2,9,2,8,19,10,1,9,1,8,5,15,4,8,8,15,4,18,1,8,4,18,3,8,21,15,3,8,10,18,4,15,1,18,1,8,2,18,1,14,1,18,2,8,2,10,1,8,1,14,1,3,3,18,4,8,21,18,1,8,6,15,2,8,2,18,5,15,1,18,6,8,6,18,8,8,1,9,1,18,2,8,1,18,2,15,1,18,2,8,1,9,1,18,6,15,2,18,26,8,1,18,17,9,2,10,2,18,7,9,1,8,1,18,8,9,8,8,1,18,11,9,5,18,3,9,3,10,3,9,2,8,2,18,9,4,3,19,5,4,14,19,4,18,1,3,4,18,3,4,2,19,6,4,1,3,2,18,1,4,138,19,4,4,9,18,1,3,2,18,5,14,1,3,1,14,1,15,1,8,8,15,1,14,1,15,6,14,1,17,1,16,14,17,1,16,3,17,1,14,13,18,2,4,2,19,4,4,7,19,8,4,2,18,4,15,1,18,1,8,8,18,7,15,1,14,2,15,2,14,3,15,3,14,2,18,3,15,6,14,1,15,2,18,2,15,1,14,3,15,3,14,2,3,6,14,2,15,1,8,2,18,1,15,1,14,1,3,9,18,2,4,2,18,1,3,1,16,13,3,1,18,2,3,2,18,1,3,2,16,3,3,1,4,1,19,7,4,869,},
{4,665,18,3,3,1,16,5,3,3,16,5,3,1,16,3,3,5,16,44,3,3,18,1,10,11,8,1,10,5,8,1,18,3,8,3,10,5,8,1,18,2,8,2,10,5,8,2,10,2,8,4,10,5,8,1,10,8,8,3,10,54,8,1,18,3,8,2,10,17,8,1,10,44,8,1,18,4,15,1,18,1,8,1,10,3,8,8,15,2,8,2,14,2,18,2,14,2,8,9,18,1,3,3,18,1,10,3,9,1,8,2,15,1,18,1,10,2,8,2,10,3,8,2,10,3,8,7,10,12,8,3,10,34,8,1,10,4,8,6,10,8,8,1,10,70,8,1,10,4,9,1,8,1,10,7,4,3,19,5,4,6,10,49,9,1,8,4,10,4,8,9,10,14,9,1,18,3,8,1,9,1,10,16,9,7,8,7,10,3,18,6,10,7,9,1,18,4,9,2,10,2,9,2,10,5,8,13,18,6,8,5,18,8,8,11,10,2,8,16,18,6,8,3,9,4,8,1,9,1,8,3,18,4,8,15,18,1,8,8,18,1,8,6,18,1,8,2,9,2,8,2,9,2,8,2,9,2,8,11,9,2,8,5,15,3,18,1,8,8,15,2,14,1,15,1,18,1,8,4,18,2,15,1,18,1,8,8,9,1,8,9,18,2,15,3,8,6,10,3,8,1,18,6,8,2,18,1,14,2,18,2,8,3,18,1,14,2,18,5,8,32,18,3,15,1,18,2,15,1,18,5,8,5,18,5,8,1,18,3,8,2,18,2,9,1,18,2,14,1,18,2,9,3,18,6,15,1,18,25,8,1,9,2,8,1,18,14,9,5,8,1,18,5,8,1,9,2,8,1,18,10,8,1,9,5,18,12,9,4,18,3,8,2,9,4,8,11,18,3,4,2,19,6,4,13,19,4,4,1,3,4,18,1,4,2,18,2,4,4,19,4,3,2,4,139,19,1,4,7,18,14,15,1,8,5,15,1,8,2,15,3,14,1,15,2,14,1,15,1,8,1,7,1,14,1,16,18,17,2,14,12,18,2,4,3,19,3,4,7,19,7,4,3,18,4,15,3,8,8,18,2,15,3,18,1,15,1,14,7,15,1,18,2,14,2,18,2,15,10,18,1,15,2,14,7,3,7,14,2,18,1,9,1,10,1,8,1,18,1,14,1,3,2,16,1,3,2,14,1,15,1,14,1,18,3,4,4,18,1,3,1,16,10,3,2,18,1,3,5,16,3,3,1,4,6,19,3,4,1,19,1,4,867,},
{4,666,10,1,4,1,18,1,3,1,16,3,3,2,18,2,3,1,16,2,3,2,16,3,3,1,18,1,4,2,3,2,16,35,3,2,16,6,3,3,18,2,10,11,8,1,10,5,8,1,18,2,8,2,10,6,8,1,18,3,8,2,10,5,8,2,10,2,8,2,10,6,8,2,10,7,8,1,10,57,8,1,18,3,8,1,10,56,8,3,10,4,8,1,18,5,8,2,10,3,8,2,18,1,8,4,18,1,15,2,8,2,14,2,15,1,18,1,14,1,15,1,8,6,15,1,8,1,10,1,8,1,14,1,3,1,14,1,18,1,10,2,8,1,15,2,14,2,15,1,8,1,9,1,8,5,18,1,8,2,10,2,8,7,10,9,8,8,10,34,8,9,10,16,8,1,10,67,8,1,18,1,9,1,10,5,18,1,4,3,19,4,4,7,10,49,8,5,10,5,8,3,10,2,8,4,10,13,9,1,18,3,8,1,9,1,10,15,18,3,8,2,9,3,8,7,10,3,18,4,9,2,18,1,9,1,10,6,18,4,9,2,10,2,9,3,10,4,8,12,18,7,8,5,18,6,8,23,18,2,8,6,18,4,8,5,9,3,8,6,18,4,8,1,9,2,8,11,18,2,8,8,18,1,8,3,9,1,8,2,18,1,8,2,9,1,8,3,10,6,9,1,8,11,9,1,10,1,9,3,8,1,15,3,8,10,15,3,18,1,8,5,18,3,8,5,18,1,8,2,9,1,8,9,18,1,15,3,18,2,8,2,9,1,8,2,10,3,8,1,18,1,15,1,18,1,8,3,10,1,8,1,18,1,14,2,18,3,8,2,18,3,8,36,18,4,15,1,18,8,8,4,18,5,8,1,9,2,18,2,8,2,18,2,9,1,8,1,18,1,15,1,18,2,9,3,18,13,15,1,18,10,8,1,18,7,9,4,18,13,9,3,18,3,9,1,18,5,8,1,9,3,8,3,18,9,8,1,9,3,8,1,18,12,9,2,18,5,8,17,18,2,4,2,19,7,4,12,19,4,4,3,18,2,4,3,18,1,3,1,18,2,3,1,4,1,19,3,4,1,3,2,4,137,18,18,8,12,15,1,8,2,15,5,14,3,15,2,14,1,17,1,16,15,17,5,14,5,15,3,14,2,7,1,18,4,4,2,19,3,4,6,19,7,4,3,10,2,9,1,18,1,15,4,8,7,18,1,15,4,18,1,15,1,14,8,15,2,14,2,15,3,14,2,15,13,14,4,3,5,14,3,15,1,8,1,10,3,8,1,18,1,14,1,3,1,16,1,3,2,14,1,18,6,4,4,18,1,3,1,16,10,3,3,16,7,3,1,4,2,18,1,3,1,18,1,4,2,19,3,18,1,3,1,4,866,},
{4,667,10,1,4,1,3,1,16,3,3,1,18,2,3,6,16,3,3,1,4,2,18,1,3,4,16,22,3,2,16,9,3,2,16,6,3,1,18,1,9,1,10,2,8,1,18,1,8,2,10,6,8,1,10,6,8,4,10,6,8,1,18,3,8,1,10,7,8,1,18,1,8,1,10,1,8,1,10,6,8,3,10,6,8,2,10,36,8,1,10,3,8,1,10,16,8,2,18,1,8,2,10,6,8,1,10,48,18,1,14,1,3,1,14,1,18,1,8,4,18,1,8,4,18,1,8,2,10,2,8,5,18,1,15,3,18,1,8,1,18,1,15,3,18,1,8,3,10,3,8,2,15,1,8,1,10,2,8,1,15,1,18,1,8,1,10,1,8,1,14,1,3,2,14,1,15,1,8,3,15,2,8,2,14,2,15,1,8,11,10,3,8,17,10,9,8,2,10,13,8,1,10,5,8,1,18,4,8,5,10,15,8,1,10,67,8,2,9,1,10,5,18,1,4,9,10,37,8,1,10,8,8,3,10,5,8,5,10,6,8,1,10,4,8,3,10,14,9,1,18,2,9,1,8,3,9,2,10,9,9,1,18,5,8,1,9,3,8,5,10,5,8,1,18,2,9,1,10,1,9,1,18,2,10,6,9,1,18,4,9,2,10,1,9,2,8,1,10,3,8,12,18,7,8,7,18,3,8,24,18,6,8,3,18,3,8,1,9,2,8,4,9,1,8,5,9,1,8,1,18,3,8,2,10,2,9,1,8,11,18,1,8,3,9,1,8,8,9,2,8,8,10,6,8,13,9,1,10,2,9,1,8,10,15,1,8,4,15,2,18,2,8,12,18,2,8,1,9,1,8,4,9,1,8,3,18,7,8,2,9,1,8,1,10,4,8,1,18,1,14,1,18,1,8,3,10,2,8,1,18,1,14,2,18,2,8,5,10,3,8,33,18,13,8,3,18,5,8,1,9,1,10,1,9,1,8,1,18,1,8,1,18,3,9,1,8,1,18,4,9,2,18,2,15,2,18,4,15,4,18,1,15,2,18,4,15,1,18,5,8,1,18,7,9,3,8,1,18,14,9,1,18,4,9,2,18,5,9,8,8,1,18,7,8,1,9,1,8,2,18,12,9,2,18,5,8,18,18,1,4,2,19,7,4,12,19,8,4,3,18,2,3,4,18,1,4,2,19,1,4,140,18,5,3,4,18,2,3,5,18,2,8,16,15,5,14,2,15,1,14,3,17,1,16,14,17,2,16,3,17,1,14,4,15,2,8,1,15,2,8,2,18,3,4,2,19,3,4,6,19,2,4,4,19,2,4,2,10,3,18,1,15,5,8,6,18,1,15,2,14,1,15,3,14,8,15,2,14,2,15,2,14,3,15,2,8,2,18,1,15,3,14,2,15,4,14,3,3,4,14,4,15,1,8,1,10,3,9,2,18,1,14,1,3,4,18,2,9,2,18,1,3,1,18,1,4,4,3,1,16,18,3,2,18,1,4,2,3,3,18,1,4,1,19,3,4,1,3,1,18,1,4,3,19,6,4,856,},
{4,667,10,1,4,1,18,1,3,3,18,6,3,2,16,4,3,1,4,2,3,2,16,1,3,3,16,19,3,4,16,12,3,6,9,1,10,3,18,1,3,3,18,1,10,6,8,2,10,5,8,3,10,6,8,1,18,3,8,1,10,6,8,2,18,1,8,3,10,5,8,3,10,7,8,2,10,36,8,1,10,3,8,2,10,16,8,2,10,7,8,3,10,13,8,3,10,30,8,1,18,1,3,4,18,1,8,1,10,2,8,1,10,3,8,2,18,1,8,8,18,1,14,2,18,5,8,4,10,4,8,5,9,1,10,2,9,1,8,1,10,2,8,1,3,1,16,2,3,1,15,1,8,1,18,1,15,1,14,1,15,1,8,2,14,2,8,8,18,1,8,23,10,8,8,3,10,12,8,3,10,4,8,1,18,4,8,5,10,83,9,1,8,1,9,1,10,6,4,6,10,5,9,1,10,34,8,2,10,7,8,3,10,5,9,1,8,4,10,12,8,2,10,15,9,5,8,2,9,1,10,8,9,1,18,5,8,2,9,3,8,5,10,4,9,1,8,1,9,2,10,2,9,1,18,2,9,1,10,7,18,4,9,5,8,1,10,3,8,13,18,4,8,37,18,5,8,6,10,2,8,6,18,2,8,2,9,1,8,1,18,3,8,2,10,2,9,1,8,32,18,1,8,1,10,6,8,14,9,2,8,9,15,4,8,3,15,2,18,3,8,11,18,1,8,6,9,3,8,2,18,5,8,1,18,1,8,5,10,3,8,1,18,1,15,1,18,1,8,3,10,2,8,1,18,5,8,2,10,7,8,3,18,3,8,25,18,15,8,1,18,6,9,1,10,3,9,1,8,2,18,3,8,2,18,4,9,1,18,2,15,1,14,1,15,1,18,4,15,3,18,3,15,1,18,10,8,1,18,7,8,3,18,20,8,1,9,1,18,8,8,1,9,5,18,22,9,3,18,5,8,12,18,2,8,4,18,1,4,2,19,7,4,8,19,1,3,1,4,2,19,8,4,2,18,1,3,1,18,3,3,3,4,122,18,9,4,3,18,1,4,8,18,5,3,11,18,2,8,17,15,5,14,6,17,1,16,13,17,1,16,5,17,1,14,4,15,2,8,4,18,3,4,2,19,3,4,6,19,1,4,5,19,2,4,2,10,3,8,2,15,5,8,5,18,1,15,6,14,8,15,1,14,8,15,1,18,1,8,3,18,1,15,1,14,3,15,1,8,2,15,1,14,3,3,3,14,4,15,2,8,1,9,1,10,1,9,2,10,2,8,1,14,1,3,3,14,1,18,4,3,3,18,1,4,2,18,1,3,1,16,17,3,2,18,3,3,4,4,1,19,3,4,1,18,2,4,3,19,7,4,855,},
{4,669,18,1,3,1,18,1,10,1,8,1,18,2,10,2,18,1,3,2,16,5,3,4,16,2,3,4,16,16,3,3,16,16,3,3,18,2,10,2,18,2,3,4,10,6,8,2,10,6,8,2,10,5,8,1,18,3,8,1,10,7,8,2,18,2,8,2,10,4,8,4,10,45,8,1,10,4,8,1,10,2,8,1,10,22,8,1,18,1,8,1,10,12,8,1,18,2,8,2,10,30,8,1,14,1,3,2,14,1,18,1,8,1,10,7,8,1,18,3,8,2,10,3,8,2,18,1,15,1,18,2,14,1,15,1,8,3,10,5,8,4,10,1,9,1,8,3,9,1,8,3,18,1,14,1,3,2,14,1,18,1,8,1,15,1,14,2,15,1,8,2,15,2,10,2,8,2,9,1,8,2,15,2,8,11,10,1,8,8,10,1,8,1,10,22,8,5,10,4,8,1,18,4,8,5,10,109,8,1,10,22,8,2,10,4,8,2,10,16,9,1,8,3,10,12,8,1,10,22,9,3,10,7,9,1,18,5,9,5,8,6,10,2,8,2,9,1,10,3,9,1,18,4,10,3,4,6,18,2,9,2,10,8,8,13,18,3,8,38,18,1,8,1,18,2,8,5,9,1,10,2,8,6,18,3,8,3,18,3,8,2,10,2,9,1,8,32,15,1,8,1,9,1,10,4,9,1,18,1,15,1,8,3,18,3,8,2,18,2,8,9,18,2,15,3,14,2,15,1,8,4,15,1,8,5,9,1,10,2,8,12,9,2,10,1,9,1,8,2,18,1,15,2,18,2,8,1,18,1,8,5,10,3,8,1,18,3,8,7,18,3,8,2,10,5,8,5,18,5,8,7,18,2,8,14,15,1,18,6,8,4,18,6,8,2,18,4,9,1,10,3,9,1,8,2,18,3,8,1,18,8,15,2,18,4,15,2,18,45,14,1,18,2,8,1,18,8,8,1,9,2,10,1,9,2,8,4,18,6,8,3,18,9,9,3,18,5,8,1,9,1,8,10,18,3,8,2,18,2,4,1,19,8,4,4,19,3,4,1,3,2,18,1,4,1,19,9,4,1,3,3,18,6,4,1,18,1,4,116,18,20,10,3,18,6,3,6,14,1,18,2,14,1,3,1,14,1,18,1,8,2,10,1,8,10,9,1,8,4,15,4,14,8,17,1,16,17,14,7,15,1,8,4,18,1,4,2,19,6,4,14,10,3,8,4,15,5,8,4,18,3,15,3,14,17,15,2,8,3,18,1,15,1,14,3,15,1,8,3,15,2,14,2,3,2,14,5,15,1,18,1,9,2,8,2,10,3,8,1,15,1,14,1,3,2,14,1,15,1,18,4,3,1,18,4,3,1,16,8,3,2,16,1,3,3,16,4,3,4,18,2,3,2,18,1,4,1,19,2,4,5,19,8,4,855,},
{4,670,18,1,4,1,8,2,10,2,8,2,18,1,3,1,16,12,3,5,16,15,3,2,16,17,3,2,18,4,9,1,18,2,3,2,16,1,3,1,18,1,10,6,8,1,10,6,8,3,10,4,8,2,18,1,8,2,10,6,8,3,18,3,8,1,10,3,8,3,10,53,8,3,10,20,8,5,10,11,8,3,18,2,8,1,10,31,8,1,18,3,8,1,10,8,8,1,18,3,8,3,10,3,8,4,18,1,14,1,15,1,8,1,10,4,8,1,10,1,8,1,15,2,8,1,10,2,8,1,15,2,8,2,18,2,8,2,15,1,14,3,15,2,14,3,18,1,8,1,10,1,8,2,10,4,9,1,8,1,18,1,15,1,18,1,8,3,10,2,8,4,10,6,8,3,10,25,8,6,10,5,8,2,18,1,8,6,10,3,8,2,10,7,8,1,10,119,8,2,10,4,8,2,10,7,8,2,10,7,9,1,8,3,10,35,9,1,8,1,9,2,10,5,9,12,8,6,10,2,8,2,9,1,10,3,18,6,9,1,18,1,4,6,18,3,9,1,10,3,8,1,10,4,9,1,8,1,9,2,8,10,18,1,8,30,9,2,8,16,9,1,10,2,8,6,18,3,8,3,18,4,8,1,9,2,8,33,18,1,8,1,9,5,8,1,18,1,15,1,8,2,18,3,8,8,15,3,8,2,18,1,15,3,14,5,15,1,8,1,9,1,8,4,18,2,8,1,10,3,9,1,8,11,9,4,8,1,18,2,15,2,18,2,8,4,18,3,8,1,10,3,8,4,18,3,8,8,10,4,8,1,18,2,8,16,15,4,18,2,15,3,8,5,15,2,18,6,8,5,18,5,8,3,18,3,9,1,10,3,9,1,8,1,18,4,9,2,18,6,15,1,18,2,8,1,9,1,18,2,14,1,18,8,8,1,18,50,9,4,8,2,9,4,8,1,18,5,8,3,18,3,9,9,18,4,8,1,9,2,8,10,18,2,15,1,18,3,4,1,19,7,4,5,19,4,18,1,3,1,18,1,4,2,19,8,4,2,3,3,18,1,9,1,18,6,4,114,18,5,14,1,18,16,8,2,18,10,14,2,18,1,8,1,18,2,15,2,18,1,8,1,10,2,8,2,15,2,8,4,10,3,9,1,8,3,15,4,14,10,16,16,14,8,15,1,8,2,18,2,4,2,19,6,4,7,18,5,4,1,10,6,8,2,15,4,8,8,18,1,15,2,14,16,15,4,8,2,18,1,15,1,14,2,15,1,18,1,8,3,15,3,14,9,15,1,8,2,15,2,8,1,10,3,8,1,15,1,14,1,3,4,14,1,18,6,3,1,16,8,3,2,18,1,3,2,18,2,3,2,16,2,3,4,18,2,3,2,18,1,4,7,19,9,4,855,},
{4,671,18,3,10,1,8,1,10,1,18,2,3,2,16,12,3,4,16,35,3,1,18,1,3,2,18,5,3,1,16,2,3,1,8,1,10,2,18,1,10,9,8,1,18,2,8,1,10,3,8,4,10,7,8,3,18,3,8,1,10,2,8,3,10,50,8,1,10,3,8,2,10,21,8,3,10,12,8,8,10,43,8,1,18,3,8,5,10,3,8,2,18,1,14,1,18,1,8,1,10,3,18,1,15,1,8,2,14,2,8,1,10,2,8,1,14,1,3,1,15,2,14,2,18,1,8,2,18,1,14,5,15,2,8,2,10,7,9,1,8,1,18,1,15,1,8,3,10,4,8,3,10,6,8,2,10,25,8,6,10,8,8,7,10,3,8,2,10,127,8,2,10,4,8,1,10,7,8,4,10,5,9,1,8,4,10,16,8,2,10,17,9,1,18,8,9,1,10,4,9,7,8,6,10,2,8,2,10,3,9,1,18,3,9,1,18,4,4,6,18,3,9,3,10,1,8,1,10,4,9,5,8,14,18,2,8,24,9,2,8,4,9,1,10,2,9,2,8,8,9,1,8,7,18,3,8,3,18,3,8,30,18,1,8,9,9,1,8,18,18,1,15,3,8,2,15,3,14,6,15,1,8,1,9,1,8,4,18,2,8,1,10,3,8,2,18,2,8,5,18,1,8,3,9,2,8,2,18,2,15,2,18,2,8,4,18,4,8,1,10,3,8,2,18,2,15,1,18,2,8,8,10,3,8,1,18,2,8,16,15,3,18,1,15,1,18,1,15,3,8,5,15,2,18,5,8,6,18,5,8,3,18,3,9,1,10,1,9,2,8,1,18,5,9,2,18,8,9,1,10,2,9,1,18,1,14,1,18,8,8,1,18,44,8,1,18,5,9,3,8,4,9,3,8,1,18,4,8,1,9,2,8,1,18,3,9,9,18,3,8,2,9,2,8,1,18,4,8,6,18,4,4,2,19,4,4,8,19,4,4,16,3,2,18,4,3,1,18,1,4,2,18,1,3,4,4,109,18,1,3,1,18,3,3,1,18,25,8,1,10,2,8,9,10,3,8,2,18,2,8,4,10,3,8,4,15,1,14,10,15,1,14,3,17,1,16,13,17,1,14,3,17,2,14,4,18,2,4,3,19,9,4,4,18,7,10,4,9,1,8,3,15,4,8,6,15,5,14,7,15,2,14,6,15,3,14,1,15,2,18,2,15,4,18,3,15,5,14,6,3,1,14,2,15,1,18,1,15,4,8,4,18,1,14,1,3,4,18,4,9,1,18,1,3,1,16,9,3,1,9,1,18,3,4,3,18,1,3,4,18,3,3,1,18,1,4,2,18,2,4,5,19,3,4,2,19,3,4,855,},
{4,671,18,1,3,2,10,1,8,1,18,1,3,3,16,14,3,3,16,30,3,2,16,3,3,1,18,1,3,3,18,1,10,3,3,1,16,2,3,1,18,1,10,2,18,2,10,8,8,1,18,3,10,13,8,5,18,2,8,4,10,52,8,2,10,2,8,1,18,1,10,3,8,1,10,32,8,2,10,3,8,3,10,39,8,1,10,3,8,1,18,3,8,4,10,5,8,2,18,1,8,2,10,2,8,1,14,2,15,2,14,2,10,2,8,1,14,1,3,2,15,1,18,1,14,2,8,4,15,1,14,3,15,2,8,3,9,1,10,6,8,2,18,2,8,2,10,4,8,4,10,5,8,2,10,24,8,7,10,10,8,1,18,2,8,3,10,4,8,1,10,127,8,2,10,12,8,5,10,3,9,1,8,5,10,15,8,4,10,16,9,1,8,1,18,7,9,1,10,4,9,5,8,1,9,2,8,4,10,3,8,1,9,1,10,2,9,1,18,3,9,1,10,1,18,4,4,6,18,4,9,2,8,2,10,8,9,1,8,13,18,5,8,19,18,2,8,1,9,2,8,4,10,5,9,1,8,20,18,4,8,8,9,1,8,6,9,2,8,7,9,2,8,5,18,3,8,10,9,2,8,9,10,2,8,2,15,4,8,3,15,2,14,5,15,2,8,6,18,2,8,1,10,3,8,1,18,1,15,1,18,1,8,5,18,1,8,3,9,1,8,3,18,6,8,1,10,2,8,1,18,4,8,2,10,3,8,1,18,2,15,1,18,2,8,8,10,3,8,14,18,1,8,4,18,1,15,2,18,1,8,2,18,1,15,1,18,2,8,4,15,2,18,5,8,7,18,5,8,2,18,1,15,2,8,1,9,1,8,1,18,6,8,1,9,2,18,7,9,1,10,4,18,1,15,1,18,8,8,1,18,43,8,2,18,4,8,1,9,3,8,1,18,2,8,1,9,4,18,4,8,1,9,3,8,2,18,1,9,9,18,6,8,1,18,6,8,4,18,4,4,3,19,4,4,8,19,4,4,16,18,1,3,2,18,5,4,2,18,1,3,4,18,1,4,108,18,1,3,1,18,27,8,2,10,6,8,4,10,3,9,1,8,2,18,1,8,1,18,1,8,4,10,3,8,4,15,1,14,3,15,1,8,3,15,3,8,1,15,1,14,4,17,1,16,10,17,1,14,4,17,1,14,6,18,1,4,1,19,11,4,4,18,1,3,1,18,2,3,1,14,1,18,1,8,1,10,3,8,2,15,2,14,2,15,2,8,6,15,5,14,5,15,4,14,6,15,2,14,3,15,2,18,2,15,3,18,1,15,5,18,2,15,3,14,3,3,2,14,2,15,3,14,3,15,1,8,3,18,1,14,1,3,4,18,4,3,2,16,9,3,1,18,2,3,2,18,1,4,3,18,1,3,3,18,2,3,3,4,2,3,1,18,1,4,11,19,1,4,856,},
{4,672,3,2,10,2,18,1,3,2,16,7,3,3,16,38,3,2,16,3,3,2,18,4,10,3,18,1,3,1,16,1,3,1,18,1,10,2,18,2,10,7,8,2,18,3,8,1,10,12,8,5,18,2,8,3,10,52,8,3,10,2,18,2,8,1,10,2,8,1,10,31,8,2,10,41,8,2,10,2,8,1,10,4,8,1,18,1,14,1,18,1,8,1,10,6,8,8,10,1,8,1,14,1,3,1,14,3,15,1,10,2,15,1,3,2,14,1,8,1,10,1,8,1,18,1,8,2,18,1,15,3,18,4,8,5,9,1,8,11,10,3,8,4,10,4,8,2,10,22,8,9,10,11,8,2,18,2,8,1,10,17,8,2,10,80,18,1,10,33,8,2,10,13,8,5,9,3,8,5,10,14,8,3,9,2,10,13,9,1,18,1,8,1,9,7,10,2,9,8,8,3,9,1,10,11,9,1,18,4,9,1,10,1,9,1,18,3,4,6,18,5,8,3,10,3,8,1,9,5,8,9,18,1,8,4,18,4,8,5,18,2,8,2,18,1,8,9,18,2,8,6,9,1,10,4,9,1,8,7,18,2,8,11,18,4,8,8,9,3,8,5,9,2,8,8,9,1,8,6,18,1,15,1,8,7,18,2,8,1,9,3,8,7,9,1,10,2,8,3,15,2,8,4,18,1,15,9,18,1,8,4,18,1,8,1,9,1,10,3,8,1,15,2,18,2,8,13,18,5,8,1,10,2,8,7,10,3,8,1,18,5,8,3,18,1,8,1,18,2,8,1,9,1,10,2,9,3,8,17,18,1,8,6,18,1,8,6,15,1,18,6,8,5,18,3,8,1,18,5,14,2,18,1,8,1,18,7,8,1,9,2,18,7,9,1,10,4,18,55,8,3,18,2,8,2,9,2,8,1,18,3,8,1,9,2,8,2,18,3,8,1,9,5,18,2,9,5,8,1,18,23,4,4,19,2,4,9,19,3,4,18,18,1,3,2,18,5,4,2,18,1,3,2,18,1,4,109,18,1,3,1,18,1,8,1,15,1,18,3,8,6,18,1,8,3,18,6,15,5,8,2,10,4,8,6,10,3,8,1,18,1,15,2,18,1,8,2,18,2,8,2,10,1,8,5,18,1,14,3,15,1,8,1,10,1,8,2,15,4,14,6,17,1,14,1,6,1,17,2,16,3,17,1,14,11,3,1,18,1,4,1,19,11,4,4,3,3,14,1,3,1,14,1,18,1,8,5,15,1,14,5,15,1,8,6,15,4,14,5,15,4,14,7,15,2,14,3,15,2,18,2,15,2,18,2,15,2,14,1,15,2,18,1,8,1,18,2,15,2,14,6,15,1,8,2,14,4,15,1,8,1,10,2,8,1,14,1,3,9,16,8,3,3,16,3,3,2,18,1,4,2,10,1,18,1,3,4,16,2,3,3,18,1,4,3,18,1,4,864,},
{4,672,18,4,3,2,16,7,3,4,16,38,3,3,16,3,3,2,18,2,10,4,18,1,3,2,18,1,10,4,8,1,10,6,8,4,18,2,8,1,10,10,8,3,10,4,8,3,10,53,8,2,10,3,8,1,18,2,8,4,10,30,8,2,10,37,8,1,10,3,8,4,10,1,8,1,10,4,8,1,18,3,8,1,10,6,8,3,10,2,8,5,14,3,15,1,14,1,8,1,10,2,14,1,3,2,14,1,8,1,10,1,8,3,18,1,14,3,15,1,8,3,18,3,15,1,18,2,8,3,18,2,8,3,18,1,15,2,8,1,10,3,8,4,10,4,8,2,10,16,8,5,10,5,8,6,10,10,8,4,9,1,10,15,8,3,10,115,8,2,10,14,8,2,10,4,9,1,8,4,9,1,10,9,8,1,10,4,8,2,9,1,10,1,9,2,10,12,9,1,8,1,9,1,10,2,9,4,10,5,18,2,9,1,10,1,9,2,8,3,10,6,8,1,10,1,8,1,10,1,9,2,18,3,9,1,10,1,9,2,10,1,9,1,18,2,4,6,10,1,9,2,18,3,8,1,10,3,8,3,9,3,8,16,18,2,8,6,18,1,8,2,18,3,8,2,18,1,8,4,18,3,8,7,9,1,10,1,9,1,8,9,18,2,8,2,9,1,8,8,18,3,8,6,18,1,8,2,10,3,9,1,8,2,9,2,8,4,9,2,8,12,15,1,18,1,8,4,9,1,8,1,15,2,8,2,9,2,8,8,10,3,8,10,18,2,8,3,15,5,8,1,18,3,8,1,10,4,8,1,15,2,18,1,8,2,18,1,8,10,9,4,8,1,18,1,8,1,10,2,8,1,10,4,8,3,10,2,18,5,8,7,18,2,8,3,9,1,10,3,8,22,15,1,18,2,8,4,15,2,18,7,8,3,18,4,8,1,18,5,14,2,18,9,8,1,9,1,18,8,9,1,10,4,8,1,18,38,9,3,18,13,8,4,18,2,8,4,18,4,8,2,9,1,8,2,18,3,8,2,9,1,10,1,9,1,18,2,8,1,9,1,10,1,9,2,18,4,9,2,18,17,4,12,18,2,4,24,3,1,16,1,3,1,18,3,4,4,18,2,4,110,18,3,15,1,8,14,15,12,8,1,9,2,10,2,8,2,15,3,8,1,9,1,10,2,8,1,15,2,18,1,8,2,18,4,8,7,18,1,15,1,14,2,15,1,10,2,8,2,15,2,8,2,15,1,14,1,15,2,7,1,14,2,15,1,8,1,15,1,14,1,16,3,17,1,14,8,15,2,3,2,18,1,4,1,19,11,4,3,18,1,3,5,14,9,3,3,14,2,15,1,8,5,18,2,15,2,14,1,15,2,14,2,15,4,14,8,15,2,14,2,15,2,18,1,15,3,18,2,15,4,18,1,8,1,18,2,15,5,14,4,15,1,8,2,14,5,15,1,8,1,10,2,8,1,14,1,3,8,16,8,3,1,16,7,3,1,4,2,10,2,3,1,16,7,3,1,18,1,4,2,18,1,3,2,18,1,4,862,},
{4,674,18,1,3,2,16,9,3,3,16,39,3,2,16,4,3,1,18,1,9,1,10,4,18,3,10,2,18,2,10,7,8,8,10,9,8,1,18,2,8,1,10,22,8,2,10,36,8,2,10,2,8,1,18,6,8,1,10,4,8,1,10,20,8,1,10,2,8,2,18,1,8,1,10,37,8,1,10,4,8,2,10,8,8,3,10,3,8,6,10,4,8,5,15,3,8,2,10,1,8,1,15,1,14,2,15,1,8,5,18,1,14,1,3,2,14,1,18,1,8,2,18,1,15,4,14,1,15,1,8,2,15,2,18,1,8,2,15,1,14,2,8,5,18,2,8,1,10,5,8,1,10,16,8,4,10,8,8,6,10,8,8,3,9,1,18,1,4,1,18,2,4,3,10,2,8,2,10,5,8,1,18,1,10,56,8,4,10,80,9,1,10,12,8,2,10,3,18,2,10,2,8,1,9,1,10,5,18,1,9,1,10,10,8,1,18,3,10,5,9,2,10,3,9,4,10,5,8,7,18,3,10,2,9,1,18,1,10,1,9,1,18,4,10,7,9,1,18,2,8,1,10,3,8,3,9,2,10,1,9,1,8,3,18,1,8,7,9,1,10,1,8,14,18,2,8,2,18,2,8,3,18,3,8,11,18,4,8,4,18,2,8,1,9,1,10,1,9,1,8,2,18,1,8,3,18,3,8,2,9,2,8,2,18,2,8,1,9,1,10,4,8,1,9,1,10,2,8,4,9,3,8,9,9,1,8,1,18,1,15,1,18,1,8,3,9,1,8,1,15,3,8,8,18,2,8,1,10,3,8,1,18,1,8,1,9,1,10,1,8,11,15,1,14,2,15,2,18,2,8,1,10,5,8,1,18,2,8,3,18,2,8,6,18,1,8,2,9,1,10,3,9,1,8,2,9,1,10,1,8,1,10,4,8,1,18,2,8,2,18,1,15,1,18,1,8,7,10,1,9,1,8,1,18,1,8,4,10,3,8,2,18,4,8,15,15,5,18,1,8,1,15,3,8,1,18,13,8,1,18,3,8,1,18,1,15,2,18,1,8,1,18,3,8,5,18,10,9,1,10,3,8,1,18,36,8,1,9,6,18,9,15,1,18,2,8,1,9,1,8,1,18,4,8,2,18,5,8,1,9,3,8,1,18,4,8,1,9,2,18,2,8,1,10,2,9,1,8,1,18,3,9,3,18,16,4,12,18,1,3,2,18,1,4,3,10,3,18,2,4,4,18,1,3,1,18,1,4,8,3,1,16,1,3,1,18,3,4,116,18,4,15,1,8,13,15,2,8,1,15,1,14,2,15,4,14,1,15,1,8,8,15,2,8,2,9,1,10,1,9,1,8,5,18,4,8,8,15,3,8,2,10,1,8,2,15,2,8,2,7,2,15,1,8,1,7,3,8,1,10,2,15,1,17,1,16,3,17,1,14,5,7,1,15,2,14,1,3,3,4,2,19,10,4,3,18,1,3,6,14,2,16,2,17,1,14,3,3,1,16,2,3,2,14,1,15,1,8,5,9,1,8,1,15,1,14,1,15,2,14,1,15,5,14,5,3,1,14,2,15,5,18,2,15,3,18,1,8,1,15,2,18,1,8,3,15,10,14,1,15,1,14,1,15,4,14,2,3,1,14,1,8,1,10,1,9,1,18,1,14,1,3,2,14,2,3,3,16,18,3,1,18,1,10,1,18,1,3,2,16,5,3,1,18,4,3,3,4,2,19,4,4,856,},
{4,675,3,3,16,29,3,3,16,19,3,1,16,4,3,1,18,1,10,5,8,2,10,4,8,2,10,6,8,8,10,9,18,3,10,23,8,2,10,32,8,2,10,7,18,3,14,2,18,1,8,1,10,3,8,2,10,19,8,2,10,1,8,2,18,2,8,1,10,42,8,2,10,13,8,10,10,1,8,9,10,1,8,2,18,1,15,4,18,1,15,2,8,1,15,1,3,1,16,1,3,1,14,1,15,1,8,2,15,1,14,2,15,2,14,2,18,2,14,2,8,3,18,1,14,2,15,1,8,7,10,23,8,2,10,10,8,4,10,11,8,1,10,1,4,8,10,1,8,1,9,1,10,5,8,2,10,121,8,2,10,18,9,3,10,9,8,3,10,2,8,2,10,2,8,1,9,1,10,4,18,3,9,1,10,2,9,1,10,6,9,1,18,3,10,5,9,2,10,4,9,3,10,4,8,9,18,2,10,2,9,1,18,1,10,1,9,1,18,3,9,1,10,7,18,3,8,1,10,3,8,2,9,1,10,3,9,1,8,5,18,1,8,3,18,1,8,1,10,2,9,1,8,12,18,3,8,2,18,2,8,4,18,2,8,7,9,1,8,3,18,4,8,7,9,1,10,1,8,3,18,1,8,3,18,3,8,2,9,2,8,5,9,1,10,3,9,3,10,1,9,1,8,16,9,2,8,1,18,4,8,3,15,4,8,6,15,3,18,1,8,6,9,1,10,1,9,7,10,2,9,1,8,1,15,5,18,2,8,1,10,6,18,3,9,2,8,1,18,3,8,3,9,3,10,4,9,2,8,1,9,2,10,6,8,1,18,2,8,2,18,2,8,4,9,2,8,2,10,1,9,1,8,6,10,2,8,3,18,5,8,6,18,1,8,8,15,9,8,2,18,11,8,3,18,7,8,1,18,3,8,3,9,1,8,1,18,11,8,1,9,2,18,37,8,1,9,5,18,7,9,2,18,12,8,1,18,5,8,1,9,3,8,1,18,4,8,1,9,2,18,3,9,3,18,4,9,4,18,13,4,13,18,1,3,1,16,1,3,2,4,3,10,3,18,2,4,4,18,1,3,2,4,8,3,5,18,2,4,117,18,2,15,3,18,1,15,2,8,8,18,2,8,2,18,1,15,1,8,2,15,2,14,2,15,1,8,7,15,2,8,4,9,2,8,6,18,2,8,6,9,1,8,2,18,3,8,4,15,2,8,2,15,3,8,1,15,3,8,1,10,2,8,1,14,1,16,3,14,7,15,2,14,1,3,3,18,1,4,1,19,5,4,7,18,2,3,6,14,2,16,3,14,3,3,1,16,4,14,2,15,2,8,2,10,2,8,1,15,1,14,1,15,8,14,4,3,2,14,2,15,8,14,1,15,2,18,1,15,2,18,1,8,2,18,1,15,2,14,2,15,3,18,1,15,4,14,2,15,1,8,1,15,1,14,2,3,1,14,1,15,1,8,1,9,1,8,1,18,1,14,2,18,2,3,3,16,20,3,1,18,1,3,4,16,4,3,2,18,3,3,2,18,1,4,1,19,4,4,856,},
{4,677,18,2,3,1,16,16,3,2,16,9,3,1,18,1,3,2,16,22,3,1,4,2,10,4,8,1,10,5,3,3,18,1,10,3,8,3,18,1,8,1,10,2,8,2,10,8,18,2,14,1,18,1,8,1,10,22,8,3,10,31,8,1,18,2,10,7,8,1,18,1,14,1,3,1,14,1,18,1,8,1,10,2,8,2,10,21,8,3,18,2,8,1,10,60,8,2,18,2,14,2,18,1,8,3,10,2,8,1,18,1,15,1,18,1,8,1,10,2,8,3,15,8,14,1,3,2,14,1,15,3,8,1,15,1,14,2,15,5,14,3,8,1,10,2,8,1,14,2,15,1,8,4,10,21,8,1,10,34,4,7,18,1,8,1,10,5,8,2,10,117,8,2,10,3,8,3,10,9,9,1,8,2,9,1,10,4,8,1,18,1,8,1,10,9,8,1,18,2,8,1,10,2,8,4,10,3,8,2,18,2,8,2,9,1,8,2,9,1,10,6,9,2,10,3,9,3,18,2,9,1,10,4,9,3,10,2,9,1,8,1,18,3,8,2,10,3,8,3,9,2,10,3,9,3,10,8,18,3,9,1,10,1,9,4,10,5,9,1,18,2,9,2,18,2,9,2,18,2,10,2,9,1,18,4,8,2,10,3,8,2,18,2,8,4,18,2,8,9,18,2,8,2,10,2,8,22,18,3,8,8,9,10,8,31,18,2,15,6,18,1,8,7,9,1,10,10,18,2,8,1,9,3,18,3,10,1,4,5,18,3,9,3,18,4,8,1,9,1,10,6,9,1,18,2,9,1,10,8,8,3,18,1,8,14,10,5,8,5,18,12,8,10,15,2,18,2,15,1,18,1,8,3,15,6,8,9,18,12,8,3,18,3,8,4,18,29,8,2,18,14,8,1,9,3,18,7,9,1,10,3,18,11,8,2,18,2,8,3,9,2,8,2,18,4,8,1,9,2,18,4,9,2,8,1,18,3,8,11,18,6,4,9,19,1,4,3,3,2,16,1,3,1,18,4,8,1,18,4,4,5,18,1,4,11,18,1,3,4,18,1,4,116,18,2,14,2,15,2,18,7,8,3,18,1,8,6,18,1,15,1,14,3,15,1,8,7,18,2,8,2,18,2,8,1,9,1,8,1,18,1,8,2,10,1,8,4,18,1,8,4,10,3,18,4,8,1,9,2,18,4,14,2,18,6,8,1,9,1,8,1,18,1,14,1,3,4,14,1,3,2,14,2,15,2,3,2,18,3,4,10,18,2,3,1,14,10,17,4,14,2,17,1,16,5,14,1,15,2,8,1,10,2,8,2,15,4,14,1,15,2,18,1,15,2,18,1,15,1,14,1,3,2,14,2,15,8,14,3,15,3,14,1,15,1,18,4,15,1,14,4,15,3,18,1,8,2,15,2,8,2,15,1,14,4,15,2,8,3,18,5,14,1,3,2,16,20,3,2,14,1,18,1,3,3,16,3,3,1,18,2,4,2,18,1,3,1,18,1,19,4,4,856,},
{4,678,18,1,3,1,16,16,3,2,16,9,3,4,16,21,3,1,18,1,4,2,18,4,8,1,10,4,3,1,16,3,18,1,10,3,8,5,10,2,8,2,10,7,8,1,18,1,3,1,18,1,8,1,10,7,8,1,10,7,8,2,10,5,8,2,18,1,8,1,10,30,8,1,18,1,14,1,18,1,10,8,8,1,18,1,14,1,18,2,8,1,10,2,8,2,10,21,8,2,18,2,8,1,10,56,8,6,18,2,14,4,18,1,8,3,10,1,8,1,15,2,8,1,10,3,8,3,15,2,14,4,15,2,14,1,3,1,14,1,15,2,14,2,8,2,14,2,15,1,8,2,15,1,14,3,15,1,8,1,10,2,8,1,15,2,8,2,10,8,8,2,10,5,8,2,10,6,8,3,10,23,8,2,10,8,4,7,18,1,9,1,10,5,8,1,10,12,8,3,10,103,8,1,18,1,8,1,10,2,8,1,18,2,8,1,10,8,8,4,10,4,9,1,8,2,10,9,8,1,18,2,8,1,10,3,8,2,10,3,8,2,18,1,8,8,10,11,18,2,9,4,10,5,8,2,9,1,10,1,9,1,8,1,18,3,9,1,10,5,8,1,18,2,9,1,10,14,18,3,9,2,8,1,18,1,9,1,10,6,9,1,18,2,10,2,18,2,9,1,10,1,18,2,9,1,10,1,9,1,18,4,8,2,10,3,8,2,18,2,8,3,18,4,8,7,18,3,8,2,10,4,8,28,9,5,8,4,9,3,8,34,15,6,8,5,9,1,8,3,10,10,18,2,10,5,9,2,10,1,4,6,18,2,9,1,10,2,9,1,18,3,9,1,10,7,18,1,14,1,18,1,9,1,10,7,8,6,10,3,8,10,10,5,8,7,18,10,8,10,18,1,15,5,8,3,15,5,8,11,18,12,8,2,18,2,8,1,9,3,8,1,18,4,14,2,18,6,8,3,18,13,9,1,10,3,9,1,8,1,18,10,8,1,9,3,8,2,18,6,9,1,10,4,18,12,8,9,18,4,8,2,9,1,18,8,8,14,9,1,18,3,4,9,19,3,4,1,18,1,14,1,16,2,14,1,15,1,8,1,14,4,3,1,18,2,4,1,18,1,4,16,18,1,3,5,18,1,4,3,18,2,4,109,18,2,14,3,15,2,18,3,15,3,18,4,8,2,10,3,8,2,18,1,15,2,18,3,8,5,18,3,10,2,18,2,8,2,18,2,8,2,10,2,8,8,9,1,10,2,9,1,18,3,9,1,10,2,9,1,18,11,14,1,18,1,9,2,14,1,3,3,14,2,3,3,14,2,18,3,10,2,18,2,4,2,18,2,4,2,10,1,18,2,14,1,17,2,14,7,6,5,17,6,16,4,14,3,8,2,10,1,8,2,15,2,8,2,15,6,18,2,14,2,3,1,14,1,15,2,14,1,15,6,14,2,15,3,14,3,15,2,18,3,15,1,14,4,15,3,8,1,15,3,8,1,15,1,14,4,15,2,14,1,15,1,8,1,9,1,8,1,18,6,14,1,3,2,16,19,3,1,18,1,9,1,18,3,3,1,16,3,3,1,18,1,4,3,3,2,4,1,19,3,4,856,},
{4,678,3,1,16,19,3,2,16,31,3,1,4,3,18,1,3,3,18,2,8,1,10,2,18,1,3,1,16,2,3,1,8,1,10,9,8,1,18,1,8,1,10,6,8,1,18,3,8,1,10,7,8,3,10,6,8,1,10,6,8,4,10,30,18,1,14,1,18,1,8,1,10,4,8,1,10,4,8,4,10,2,8,3,10,20,8,5,10,57,8,2,18,5,14,4,18,1,8,8,10,3,8,2,15,3,14,2,3,1,14,2,15,1,8,2,15,1,14,1,15,2,14,2,18,1,8,1,15,3,8,3,15,1,14,2,15,1,8,6,10,25,8,3,10,33,4,7,18,1,9,1,10,18,8,3,10,104,8,1,10,3,8,3,10,3,8,3,10,2,9,1,8,5,9,1,10,14,8,3,10,10,8,10,10,16,9,1,10,5,18,2,9,1,10,2,9,2,8,2,9,1,10,5,8,2,18,1,8,1,10,14,9,2,18,1,9,1,18,3,9,1,10,6,9,1,18,1,9,1,10,2,18,2,9,2,18,2,9,1,10,1,9,1,18,4,8,3,10,1,8,3,18,1,8,5,18,3,8,7,18,3,8,1,10,9,8,23,9,7,8,42,15,2,8,6,9,1,8,4,10,10,9,2,10,8,4,6,18,2,10,14,9,1,18,1,15,1,18,1,9,1,10,1,9,3,10,3,8,1,15,1,8,3,9,1,10,2,9,1,8,5,9,1,8,7,10,3,9,2,8,7,18,4,8,11,18,1,8,1,15,6,18,1,8,2,15,5,8,10,18,2,15,1,18,15,8,3,18,6,15,1,18,6,8,3,18,12,8,1,10,6,8,1,18,5,8,1,9,8,8,1,18,6,4,8,18,6,8,1,18,2,8,10,18,3,8,2,9,1,18,6,9,1,8,9,9,1,8,5,9,1,18,3,4,9,19,3,4,1,3,1,14,4,15,1,8,1,14,2,3,2,18,8,4,14,3,12,4,97,19,5,4,7,18,1,15,13,18,2,8,3,9,2,8,12,18,4,10,3,9,1,8,2,18,2,8,14,18,2,9,3,10,3,9,1,18,11,14,1,18,1,9,2,18,1,14,3,18,1,15,1,14,5,18,1,4,6,18,6,8,1,18,1,14,1,3,1,14,7,6,2,17,10,16,5,17,1,14,2,15,1,8,4,15,1,8,4,15,2,14,3,15,2,14,3,15,7,18,2,15,3,18,4,15,1,14,2,15,1,18,4,15,1,14,4,15,5,14,1,15,1,14,5,15,2,14,1,15,1,18,4,8,2,18,4,14,1,3,1,16,6,3,2,16,4,3,5,16,2,3,1,18,1,10,1,18,3,3,1,16,4,3,1,4,1,19,2,4,4,19,2,4,856,},
{4,677,3,1,16,12,3,3,16,5,3,3,16,4,3,1,16,25,3,1,4,2,18,1,3,1,16,2,3,1,18,2,10,3,18,1,3,1,16,2,14,1,10,10,8,1,18,1,8,1,10,6,18,3,8,1,10,7,8,4,10,5,8,2,10,6,8,3,10,30,8,1,18,1,14,1,18,1,8,1,10,3,8,1,18,1,8,1,10,3,8,3,10,2,8,4,10,20,8,4,10,58,8,1,18,10,8,3,18,2,8,4,10,2,8,1,18,1,14,2,15,1,14,5,15,1,8,6,15,1,14,1,15,1,8,6,9,1,8,1,18,1,15,1,18,1,8,4,9,1,10,8,8,7,10,12,8,2,10,34,4,7,18,1,10,19,8,3,10,104,8,1,10,4,8,2,10,3,8,13,9,1,10,13,8,2,10,14,9,1,8,4,9,4,10,3,9,1,10,14,9,1,18,2,9,1,10,4,9,2,10,7,8,2,9,1,10,7,9,1,18,1,9,1,10,6,9,2,18,3,9,1,10,3,8,2,9,2,8,1,10,4,9,1,10,2,18,2,9,4,8,17,18,2,8,7,18,2,8,3,10,8,8,22,9,7,8,49,9,2,8,6,9,1,8,1,9,1,10,6,9,1,18,1,10,8,4,6,18,1,9,1,10,13,9,1,8,1,18,3,9,1,10,1,8,2,9,1,10,2,8,2,15,2,8,1,9,1,10,3,8,6,9,1,10,2,8,7,10,2,9,1,8,24,15,14,8,11,18,6,8,4,18,23,8,2,18,14,9,1,10,5,9,1,18,5,9,14,10,1,4,13,18,12,8,8,18,1,9,1,18,4,9,3,8,2,18,1,8,4,9,2,8,2,18,7,4,10,19,2,18,1,3,1,15,2,14,2,15,2,14,2,3,2,14,1,18,7,4,15,3,11,4,1,19,1,4,94,19,6,4,7,18,2,15,1,18,2,15,1,18,1,15,2,14,5,15,2,18,4,8,5,9,2,8,2,18,2,8,2,18,3,8,1,9,1,10,1,9,2,8,2,18,3,8,11,18,4,9,1,10,4,9,2,18,5,9,2,8,1,18,3,14,1,18,1,8,1,9,1,18,4,8,2,18,1,15,2,14,1,3,1,18,1,4,6,18,6,8,1,15,1,14,1,3,1,14,7,17,8,16,3,17,2,16,2,17,2,16,1,17,1,14,2,15,2,8,2,15,1,8,5,15,1,14,1,15,4,18,3,15,7,18,2,15,4,18,3,15,1,14,2,15,7,14,5,15,2,14,8,15,4,18,1,15,1,14,1,15,1,18,4,9,1,18,1,14,1,3,1,16,6,3,1,14,1,3,2,16,3,3,1,18,2,14,1,3,1,16,1,3,1,18,1,10,1,9,1,8,1,9,1,18,1,3,1,16,4,18,1,4,1,19,2,4,861,},
{4,674,18,1,3,2,16,13,3,3,16,5,3,4,16,19,3,1,16,7,3,6,16,2,3,2,8,1,10,4,8,1,3,3,10,12,8,2,10,5,8,4,10,9,8,2,10,5,8,3,10,6,8,2,10,31,8,1,18,1,14,1,18,1,8,1,10,3,8,1,18,1,8,1,10,3,8,9,10,31,8,3,10,48,8,1,18,6,8,7,18,1,15,1,18,1,8,3,10,2,8,1,14,4,15,2,8,2,10,1,8,1,10,3,8,6,10,3,8,3,10,2,8,7,9,1,8,2,9,1,10,3,8,10,10,12,8,1,10,34,4,7,10,20,8,2,9,2,10,34,8,1,10,24,8,5,10,49,8,1,9,5,10,4,9,1,8,3,10,23,8,1,10,5,8,6,9,4,10,1,9,3,10,13,9,1,8,1,18,1,9,1,10,3,9,3,10,7,9,2,10,2,9,3,10,3,9,1,18,2,9,1,10,7,9,1,18,2,9,1,10,3,8,2,9,3,10,8,9,8,8,15,18,1,8,12,10,3,8,2,10,3,8,23,9,7,8,41,10,1,8,13,18,4,8,2,18,1,8,1,10,1,9,1,18,2,8,1,9,1,18,1,8,1,9,1,10,1,9,1,10,1,4,6,18,1,8,1,10,11,9,1,8,4,18,1,8,1,9,1,10,1,9,2,10,2,9,1,8,2,15,2,8,1,9,1,10,3,8,2,18,2,8,3,9,1,8,4,18,2,8,2,10,2,8,25,15,20,18,1,8,5,18,4,8,6,18,38,8,1,9,1,10,5,9,1,18,7,8,1,9,6,10,5,4,14,18,11,8,5,18,2,15,1,18,1,9,2,18,3,8,1,9,2,8,2,18,2,8,3,9,2,8,2,18,5,4,5,19,2,4,7,3,2,15,1,8,2,15,1,14,4,3,3,14,2,18,7,4,18,18,2,4,2,3,1,18,1,19,2,4,94,19,6,4,7,18,7,15,2,14,6,15,5,18,2,8,3,9,2,8,2,18,3,8,5,9,1,18,4,9,1,8,1,18,5,8,2,10,2,8,2,18,6,9,1,10,4,9,1,10,1,9,1,18,4,9,2,18,6,8,2,18,5,8,4,18,3,4,6,18,5,8,2,18,1,14,8,17,9,16,2,17,1,14,1,17,1,16,2,17,1,14,1,17,2,14,3,15,1,8,3,15,1,8,4,18,2,8,2,18,7,15,5,18,2,15,3,18,4,15,2,14,1,15,4,18,1,15,2,14,11,3,2,14,2,15,2,14,2,15,2,14,3,18,3,9,1,18,1,14,1,3,1,16,6,3,1,18,2,15,1,3,1,16,3,3,1,18,1,3,2,16,2,3,1,9,3,18,2,3,2,16,3,3,1,18,1,4,1,19,2,4,2,19,1,4,857,},
{4,674,3,1,16,15,3,3,16,4,3,6,16,32,3,1,16,1,3,1,18,1,10,6,8,1,10,19,8,3,10,19,8,3,10,6,8,2,10,31,8,1,18,2,8,1,10,4,8,1,18,2,10,2,8,4,18,2,8,4,10,30,8,4,10,48,8,3,18,2,8,2,10,5,8,2,18,1,15,1,18,1,8,2,10,2,8,1,18,1,3,3,14,1,8,3,10,6,8,4,10,6,8,2,10,2,8,2,10,1,9,1,8,3,9,1,8,14,18,2,8,1,10,7,8,3,10,13,8,4,10,19,4,7,10,19,18,3,4,2,10,34,8,1,10,23,8,7,10,1,9,1,10,57,9,1,8,2,10,22,8,3,10,5,8,5,9,2,18,2,9,2,8,1,9,1,10,7,9,2,10,3,9,4,10,3,9,3,10,2,8,2,10,8,9,1,18,2,9,3,10,1,9,1,18,2,9,1,10,6,9,1,8,2,9,1,10,3,8,2,9,3,10,10,9,6,8,33,10,3,8,23,9,7,8,40,10,3,8,2,15,1,18,1,8,5,18,1,8,2,18,8,8,2,18,1,15,1,18,4,8,1,9,2,18,2,4,4,18,2,8,1,10,7,9,3,8,1,18,4,8,2,9,1,10,5,9,1,8,4,18,1,8,2,10,1,8,45,15,20,18,2,8,11,9,2,8,1,18,40,9,1,10,4,9,1,18,9,8,1,9,5,10,4,4,15,18,9,8,6,15,3,18,2,9,1,18,3,8,5,18,3,8,2,9,3,18,6,4,4,19,4,4,5,18,1,3,2,15,1,10,1,8,2,14,1,3,1,14,2,3,5,18,1,10,2,18,4,4,20,19,2,4,2,19,2,4,94,19,6,4,5,18,9,15,2,14,10,15,3,18,1,8,5,18,4,8,1,10,3,9,2,18,1,3,2,18,1,9,2,8,2,18,3,8,2,10,2,8,1,18,3,9,1,18,4,10,3,9,2,10,2,18,4,9,1,8,1,18,6,8,2,18,6,8,3,18,3,4,6,18,5,8,2,18,1,15,1,14,2,15,1,14,5,17,10,14,3,17,1,14,8,15,1,8,3,15,3,8,3,9,1,10,2,9,1,18,6,15,5,18,2,15,3,18,2,8,1,18,2,15,5,18,1,8,2,15,2,14,9,3,4,14,5,15,2,14,4,18,4,14,1,3,4,16,3,3,2,9,2,14,1,3,1,16,2,3,1,15,1,14,1,3,1,16,2,3,1,18,1,10,2,18,3,3,2,16,1,3,3,4,1,19,3,4,1,18,2,4,856,},
{4,673,18,1,3,1,16,15,3,4,16,3,3,6,16,3,3,2,16,9,3,3,16,14,3,4,10,11,8,1,10,15,8,3,10,20,8,2,10,38,8,5,10,4,8,1,18,2,10,2,18,6,8,3,10,32,8,2,10,62,8,1,18,2,8,2,10,4,18,1,3,2,14,1,8,1,10,1,8,2,10,1,8,4,10,3,8,2,10,6,8,3,10,1,9,1,10,3,8,2,10,1,9,1,8,12,10,1,8,4,10,6,8,4,10,4,8,1,10,7,8,7,10,39,8,1,18,1,4,10,10,31,8,1,10,23,8,8,9,1,10,58,9,1,8,1,9,1,10,21,8,3,10,6,9,1,8,1,9,4,8,1,18,1,9,2,18,2,8,1,9,1,10,4,9,1,18,1,9,3,8,3,9,1,10,3,9,1,18,2,8,1,9,1,10,1,9,1,8,2,10,7,9,1,18,4,9,1,10,2,18,3,10,7,9,1,8,2,9,1,10,2,8,2,9,3,10,10,9,6,8,26,18,1,8,6,10,3,8,23,9,7,8,40,10,2,8,2,15,1,14,1,15,1,8,4,15,1,18,1,8,5,9,3,8,2,9,2,18,2,9,2,18,8,10,2,9,1,18,2,9,1,10,6,8,1,18,1,8,3,18,3,8,1,9,1,10,7,8,1,18,1,15,1,8,27,18,2,8,2,18,1,8,20,15,18,18,3,8,11,9,2,8,2,18,11,8,2,18,24,14,1,15,1,18,2,9,4,18,15,8,1,9,2,10,1,4,17,18,6,8,6,18,1,15,3,18,6,8,4,18,4,8,6,18,4,4,5,19,4,4,5,3,3,15,1,8,1,10,1,8,1,14,1,16,1,3,3,16,3,3,1,18,1,10,1,4,2,18,3,4,21,19,5,4,93,19,7,4,5,18,2,8,1,18,1,8,1,18,4,15,2,14,11,15,4,18,9,10,5,18,1,3,2,18,1,9,1,8,3,18,1,15,1,18,1,8,1,10,3,18,3,8,1,10,1,9,1,18,3,9,3,18,2,10,2,18,4,8,1,18,10,15,4,18,2,8,1,9,1,8,1,18,1,4,7,18,8,15,5,14,5,17,8,14,12,15,1,8,4,15,1,14,3,15,1,8,1,10,4,8,1,18,5,15,4,8,2,15,4,18,2,8,1,18,2,15,5,8,3,15,2,14,10,3,3,14,5,15,3,14,1,3,2,15,1,18,4,3,5,16,3,3,1,18,3,14,1,3,2,15,1,18,1,14,1,3,1,16,2,3,1,18,1,10,2,18,1,3,1,18,2,3,3,18,1,4,2,19,3,4,859,},
{4,673,3,3,16,14,3,1,18,1,3,2,16,12,3,3,16,7,3,4,16,13,3,2,18,1,3,1,18,1,10,4,8,2,10,4,18,2,8,1,10,13,8,4,10,21,8,1,10,38,8,3,10,6,8,1,18,1,8,1,10,2,18,1,14,1,18,3,8,2,10,47,8,1,10,50,8,1,18,2,8,2,10,3,8,1,14,1,3,2,14,1,8,6,15,2,8,2,10,2,8,2,10,5,8,2,18,1,8,2,10,4,8,15,10,3,8,4,10,5,8,4,10,4,8,4,10,4,8,7,10,27,8,3,10,8,9,1,18,1,4,4,19,4,4,4,10,54,8,6,10,2,9,1,10,21,8,1,10,37,8,3,10,34,9,1,8,2,9,2,8,1,18,3,10,4,18,2,8,1,9,1,18,3,8,1,9,1,10,2,9,1,18,4,9,1,10,10,9,2,18,3,9,1,10,3,18,3,9,1,10,7,9,1,8,2,10,2,8,2,9,2,18,1,9,1,10,9,9,5,8,23,10,2,8,9,10,3,8,24,9,6,8,41,10,1,8,2,14,3,15,1,8,2,15,2,18,1,8,1,9,1,8,2,9,4,8,2,9,2,8,2,9,2,18,3,9,1,8,2,18,1,8,1,10,2,9,1,8,2,9,1,10,4,9,1,18,5,8,2,18,2,8,1,9,1,10,2,9,2,10,3,8,1,15,2,8,6,15,1,18,1,8,1,10,4,8,7,10,2,8,3,18,7,8,21,15,12,8,4,15,1,18,2,8,15,18,11,8,4,18,15,8,1,18,7,14,2,15,1,18,18,15,1,18,6,4,11,19,2,4,5,18,5,9,1,8,3,18,1,15,4,18,4,9,2,8,2,18,4,8,7,18,4,4,5,19,5,4,4,18,1,3,3,14,1,8,1,10,2,14,1,16,3,3,1,16,3,3,1,18,1,4,4,18,3,4,19,19,6,4,92,19,8,4,3,18,4,8,2,18,6,15,2,14,3,15,1,14,5,15,8,18,2,8,1,18,1,15,1,18,1,10,2,9,1,10,3,3,2,18,1,9,1,18,2,8,1,18,3,8,1,10,2,8,1,18,2,8,1,9,1,10,1,9,1,18,3,9,2,18,3,10,2,9,1,18,2,8,1,9,1,8,1,18,3,8,3,18,1,15,3,18,2,15,1,18,2,8,1,9,1,8,1,18,2,4,5,18,3,8,2,18,1,15,1,18,1,15,3,8,3,15,2,14,15,7,2,14,1,15,3,14,2,15,1,8,4,15,1,14,4,18,1,10,4,8,1,18,2,9,1,8,2,18,1,15,2,18,1,8,1,18,2,15,3,18,6,15,4,8,4,15,1,14,11,3,5,14,2,15,1,18,1,8,1,15,1,14,3,18,8,3,2,16,2,3,2,14,1,18,2,14,2,18,1,8,1,18,1,3,4,18,1,10,2,18,2,4,9,19,3,4,858,},
{4,673,18,2,3,2,16,12,3,1,18,2,3,2,16,13,3,3,16,6,3,4,16,6,3,2,16,7,3,1,18,1,10,4,18,2,10,3,18,2,14,1,18,1,8,1,10,13,8,2,10,35,18,1,10,27,8,2,10,6,8,3,10,2,18,1,14,1,18,1,8,1,10,98,8,3,18,2,15,1,18,1,8,3,10,1,8,1,14,1,3,1,14,3,15,3,8,2,15,1,14,2,15,1,8,2,15,1,18,1,10,3,8,2,18,1,15,3,8,1,10,3,9,1,8,4,10,2,8,6,18,1,8,2,10,4,8,3,10,5,8,4,10,4,8,1,10,7,8,6,10,20,8,1,10,8,8,1,10,9,18,1,4,4,19,5,4,3,10,56,8,4,10,3,9,1,10,21,8,1,10,12,8,3,10,22,9,1,8,3,10,33,8,2,9,3,8,2,18,2,10,4,8,1,18,2,8,2,18,2,9,4,18,4,9,2,10,10,9,4,10,5,18,4,9,1,10,6,9,1,8,2,10,2,8,2,9,2,18,2,9,9,10,1,9,3,8,2,18,1,8,1,18,2,8,2,18,2,8,14,10,3,8,8,10,4,8,16,18,1,8,1,18,1,8,6,9,4,8,43,15,1,14,3,15,1,8,2,15,2,18,1,8,8,18,1,8,2,9,1,8,2,9,1,8,1,18,2,8,1,10,1,9,2,8,1,9,1,10,3,8,3,9,1,10,2,9,1,8,1,18,4,8,3,18,2,8,1,9,1,10,2,8,2,10,3,8,1,15,2,8,3,18,1,8,2,15,1,18,1,8,1,10,4,8,6,9,1,10,2,8,3,18,2,8,31,15,5,8,11,18,2,8,4,18,4,8,3,18,12,9,1,8,1,18,15,8,3,18,27,15,2,14,1,15,1,18,3,4,5,19,11,4,3,18,9,8,5,18,3,9,3,18,4,8,4,18,2,8,1,18,4,4,5,19,6,4,4,18,1,3,3,14,1,8,1,10,2,15,1,17,1,16,6,3,1,18,1,4,5,18,1,3,1,4,19,19,6,4,92,19,7,4,3,18,13,15,3,14,1,15,3,14,3,15,2,18,2,15,6,18,1,8,2,18,2,9,1,10,1,18,1,9,1,10,2,18,7,8,1,18,2,8,1,9,1,10,1,8,1,18,2,8,1,9,1,10,1,9,1,18,3,9,2,18,3,10,2,9,1,18,1,8,1,9,1,10,1,9,1,18,2,8,1,9,2,8,1,18,1,14,1,15,1,18,1,8,8,18,3,10,3,18,4,9,1,8,2,15,4,8,5,15,2,14,14,7,1,15,1,14,1,15,1,8,1,15,1,14,3,15,3,8,2,14,1,3,3,15,1,9,1,10,2,9,1,18,3,9,2,8,7,18,2,15,1,18,3,8,1,18,8,8,2,15,2,14,4,15,2,14,5,3,5,14,2,15,1,8,3,15,1,14,3,15,1,18,1,9,1,18,2,14,1,18,1,3,5,16,1,3,2,14,2,18,1,9,2,18,1,3,4,18,2,9,1,10,2,4,10,19,3,4,857,},
{4,675,18,1,3,1,16,12,3,1,18,1,10,1,18,1,3,2,16,8,3,1,16,3,3,3,16,7,3,4,16,6,3,1,16,3,3,2,16,2,3,1,8,1,10,3,18,2,10,3,8,1,3,3,14,1,8,1,10,28,8,2,10,1,8,1,10,7,8,1,10,46,8,1,18,1,8,1,10,2,18,2,8,1,10,3,8,2,10,53,8,1,10,35,8,6,18,5,8,4,10,1,8,1,14,3,15,1,14,4,15,2,14,3,15,1,8,2,15,2,8,1,10,1,8,2,15,5,8,1,10,3,8,5,10,1,8,2,18,2,15,2,18,2,8,2,10,4,8,3,10,5,8,4,10,4,8,1,10,7,8,6,10,11,8,1,10,26,18,1,4,4,19,6,4,3,10,56,8,3,10,38,8,4,10,10,8,2,10,11,8,3,10,33,8,2,10,4,8,1,18,2,10,4,9,1,8,2,9,5,18,5,9,1,10,2,9,1,10,8,9,4,10,7,9,1,18,2,9,4,10,5,8,2,9,2,8,1,9,1,10,2,8,1,18,9,9,1,10,1,9,2,8,3,18,1,8,5,18,3,8,24,10,4,8,3,10,1,9,3,8,9,18,3,8,6,9,3,8,44,15,1,14,3,15,1,8,3,15,1,8,3,18,3,8,1,18,3,8,5,9,1,8,1,18,2,8,1,10,2,9,1,8,2,10,2,9,1,8,2,18,1,8,3,18,6,8,1,9,2,8,4,9,2,18,1,8,1,9,1,10,3,8,1,15,1,8,2,15,1,18,1,8,2,18,1,8,1,9,1,10,4,8,5,10,2,8,7,18,1,8,31,15,5,8,10,18,2,8,4,18,19,8,2,18,14,8,1,9,1,8,3,18,11,15,1,18,17,15,1,18,4,4,4,19,12,4,6,18,5,8,4,18,4,9,3,18,3,8,2,9,2,8,1,18,6,4,6,19,5,4,5,18,1,3,2,14,2,8,1,10,2,8,1,14,1,16,2,3,4,14,1,10,1,4,5,18,2,4,20,19,4,4,93,19,7,4,3,18,12,15,4,14,1,15,4,14,1,15,3,18,9,8,2,18,2,8,2,18,1,9,1,10,3,18,6,8,1,18,1,8,3,9,2,8,2,9,3,18,3,9,1,10,2,8,1,18,2,10,2,18,2,10,4,18,2,8,1,9,2,8,1,15,1,14,1,15,1,8,2,9,1,8,6,18,2,8,1,9,2,18,4,8,1,10,2,8,1,15,3,8,7,15,3,14,13,15,5,14,3,15,1,14,1,15,1,8,1,15,2,14,1,3,2,14,1,18,2,8,2,18,1,15,1,18,1,9,2,8,8,18,4,8,2,18,2,8,1,18,2,15,3,8,2,15,2,14,3,15,3,14,6,3,2,16,1,3,2,14,1,15,2,8,3,15,1,14,3,18,1,9,1,18,2,3,1,18,3,3,7,14,1,18,1,8,2,18,1,14,2,3,4,18,2,10,1,4,10,19,4,4,856,},
{4,676,3,2,16,10,3,1,18,2,10,1,18,3,3,2,16,5,3,8,16,8,3,4,16,8,3,5,9,1,10,3,18,2,8,1,10,3,18,1,3,3,14,1,10,8,8,1,10,10,8,1,10,8,8,5,10,7,8,2,10,45,8,1,18,1,8,1,10,2,8,1,18,1,8,1,10,3,8,3,10,75,8,1,10,10,8,2,18,3,8,8,10,2,8,1,10,2,8,1,18,1,14,1,8,2,14,5,15,1,14,2,15,1,8,1,10,2,15,2,8,4,15,3,18,2,8,1,10,3,8,1,9,1,8,5,15,2,14,3,15,1,18,1,8,2,10,3,8,3,10,6,8,4,10,4,8,1,10,8,8,4,10,13,8,1,10,25,18,1,4,4,19,6,4,3,10,57,8,1,10,39,8,3,10,7,8,1,10,3,8,3,10,10,8,3,10,22,8,4,10,13,8,1,18,1,8,1,10,4,9,4,10,3,9,1,18,4,9,1,10,3,9,1,10,9,9,2,10,8,9,6,8,1,9,1,10,4,9,6,10,2,9,1,8,2,18,7,10,3,9,2,8,9,18,2,8,24,10,4,8,3,10,4,9,2,8,8,18,2,8,7,9,2,8,37,18,1,8,2,15,1,8,3,15,4,8,9,18,1,8,3,18,1,8,2,9,2,8,2,9,2,18,2,8,7,9,1,8,2,18,9,8,2,9,1,10,1,9,1,8,2,18,1,8,1,9,1,8,1,18,2,9,1,10,4,8,2,15,2,8,5,9,1,10,3,9,1,8,1,18,2,8,1,10,2,8,2,18,2,8,4,18,1,8,11,15,3,8,17,15,6,8,4,15,1,18,1,8,3,18,3,8,3,18,34,8,3,18,38,4,3,19,12,4,6,18,2,4,1,18,2,8,4,18,4,9,3,18,3,8,2,9,3,8,1,18,3,4,18,18,1,3,2,14,1,15,1,8,3,15,1,14,1,3,6,18,1,10,1,4,13,19,1,4,110,19,5,4,5,18,12,15,3,14,2,15,9,18,3,8,2,18,4,8,3,18,4,10,4,18,6,8,5,9,1,10,3,9,1,18,4,10,4,18,2,10,2,18,2,10,3,9,1,18,4,9,1,8,1,15,1,14,1,18,1,8,1,9,2,8,6,18,1,8,1,9,3,18,4,8,1,10,2,8,1,15,2,18,1,8,3,15,2,8,1,15,4,14,14,15,3,14,7,15,3,14,4,15,1,14,1,15,1,18,2,15,1,18,1,9,2,8,8,18,4,8,3,18,1,8,2,18,1,15,3,18,1,8,1,15,3,14,1,15,2,8,1,15,1,14,4,15,1,14,1,3,2,16,1,3,2,14,2,15,2,8,2,18,1,15,1,14,2,15,1,18,2,14,2,18,3,3,3,14,1,15,1,14,2,3,2,14,1,18,4,3,2,16,1,3,4,18,1,4,9,19,4,4,856,},
{4,676,18,1,3,1,16,2,3,3,16,1,3,1,16,3,3,1,18,2,10,4,18,1,3,8,16,3,3,2,16,9,3,4,16,8,3,4,10,3,18,1,3,2,18,1,10,4,14,1,3,1,16,2,3,1,10,8,8,2,10,18,8,3,10,9,8,2,10,30,8,3,10,11,8,2,18,1,8,1,10,2,8,2,10,2,8,2,18,2,8,4,10,32,8,3,10,34,8,1,10,2,8,2,10,9,8,1,18,5,8,2,10,1,8,2,10,4,8,2,10,1,8,1,18,1,15,1,8,1,18,1,14,4,15,6,8,2,15,1,14,1,15,1,18,1,8,1,15,3,8,3,10,4,8,1,9,1,8,2,18,2,15,2,14,4,15,1,18,1,8,1,10,4,8,2,10,7,8,4,10,4,8,1,10,52,4,4,19,5,4,4,10,98,8,1,10,12,8,2,10,5,9,1,10,5,9,1,8,1,9,1,10,16,8,2,10,5,8,4,10,12,8,3,10,4,9,1,10,6,9,1,18,4,10,5,9,1,10,14,9,6,10,2,9,1,18,2,9,1,10,6,9,4,10,3,9,2,8,2,18,4,9,1,10,3,9,3,8,27,10,1,8,7,10,2,8,4,10,4,9,3,8,7,18,2,8,34,18,1,8,9,18,5,15,1,8,4,15,2,8,17,9,2,8,2,9,1,8,1,18,2,8,10,18,4,15,2,18,2,8,4,10,2,9,1,8,1,18,2,8,1,18,3,8,1,10,4,9,1,8,1,15,2,8,2,9,1,8,3,10,3,8,1,18,2,8,2,10,2,8,1,18,1,15,2,18,1,8,1,9,1,8,1,18,1,8,10,18,1,15,3,8,16,15,13,18,6,8,3,18,8,8,1,18,25,8,1,18,18,8,2,18,21,4,3,19,11,4,10,18,9,8,1,9,2,8,1,18,1,8,3,9,2,8,2,18,3,4,18,3,3,15,1,8,2,7,1,14,7,3,1,14,1,8,1,10,1,4,12,19,5,4,107,19,5,4,4,18,9,15,7,14,2,15,3,18,2,15,4,18,1,8,6,18,3,8,3,18,3,9,1,10,3,18,2,9,2,18,2,8,6,10,3,18,1,14,1,3,2,18,1,10,3,9,1,18,2,9,2,18,2,10,2,9,1,18,5,9,1,8,1,18,3,8,1,9,1,8,3,18,2,15,2,18,1,8,2,18,6,8,1,10,2,8,1,18,2,8,3,15,8,14,10,15,2,14,2,15,1,8,1,15,1,14,1,15,2,14,5,15,4,14,1,15,1,14,3,15,4,18,1,8,10,18,3,8,3,18,1,8,1,18,3,15,1,18,3,15,6,8,1,15,1,14,4,15,1,14,1,3,5,14,3,15,2,8,1,15,2,14,6,18,5,3,1,18,2,8,1,18,1,14,2,3,2,14,1,18,3,3,1,16,2,3,4,18,1,4,9,19,4,4,856,},
{4,677,18,1,3,3,18,2,3,3,16,2,3,1,18,2,10,4,18,1,3,7,16,15,3,2,16,11,3,2,18,1,9,1,10,1,18,1,3,1,16,1,3,1,8,1,10,3,18,1,3,1,16,3,3,1,10,8,8,2,10,18,8,2,10,9,8,3,10,29,8,3,18,1,8,1,10,10,8,1,18,1,8,2,10,3,8,1,10,1,8,2,18,3,8,2,18,1,8,2,10,31,8,3,10,34,8,5,10,9,8,1,18,4,8,2,10,2,8,2,10,4,8,4,14,4,3,2,14,1,15,1,8,3,18,1,14,2,15,2,14,1,15,1,18,1,8,2,15,3,8,1,10,5,8,5,18,1,15,2,14,4,15,1,8,2,10,5,8,2,10,7,8,4,10,57,4,13,10,111,8,2,10,5,9,1,10,5,9,2,10,17,8,2,10,5,8,5,10,11,8,3,10,2,8,2,9,1,10,6,9,1,18,3,9,1,10,5,9,1,10,1,9,1,8,1,9,1,10,9,9,1,18,3,9,2,10,3,9,1,18,1,8,1,9,1,10,7,9,1,8,1,9,1,10,8,8,1,18,1,9,1,10,4,9,5,10,5,8,15,18,3,8,2,10,1,8,13,10,4,9,2,8,42,18,4,8,9,18,4,8,30,18,1,15,1,8,11,18,6,8,5,9,1,10,2,8,1,18,6,8,1,10,5,18,1,15,1,8,2,9,2,8,3,10,3,9,1,8,1,18,1,8,2,9,1,8,2,18,4,8,13,18,2,15,3,8,16,15,14,18,16,8,2,18,40,8,1,9,4,18,16,15,2,18,4,4,3,19,4,4,17,18,9,8,2,9,2,8,7,18,3,4,4,19,4,4,10,3,3,15,1,8,2,14,8,3,1,14,1,18,1,10,2,4,11,19,5,4,107,19,4,4,3,18,4,14,1,18,6,15,7,14,2,15,2,18,1,8,2,18,1,15,4,18,1,8,5,18,1,15,1,18,1,8,6,18,1,9,1,10,2,18,2,10,2,18,3,8,5,10,2,9,1,18,1,3,2,18,1,10,4,18,7,10,2,18,6,8,1,9,1,18,2,8,4,18,4,15,2,18,10,8,3,18,3,8,2,15,8,14,9,15,1,8,1,15,1,14,2,15,1,8,1,15,4,14,5,15,1,8,3,18,1,15,2,14,2,15,4,18,2,8,3,18,1,8,4,18,24,15,1,14,6,3,3,14,5,15,5,14,4,15,1,18,9,8,1,18,1,15,1,14,1,3,1,14,1,18,2,14,1,16,4,3,4,18,1,4,6,19,6,4,856,},
{4,678,18,2,4,4,18,1,3,1,16,2,3,1,18,2,10,5,18,2,3,5,16,29,3,2,18,2,3,4,10,4,18,1,3,5,10,8,8,2,10,18,8,2,10,8,8,4,10,29,8,3,18,2,8,1,10,9,8,2,18,1,8,2,10,4,8,2,18,3,8,2,18,2,8,2,10,31,8,2,10,33,8,2,10,1,8,3,10,9,8,6,10,3,8,2,10,3,8,1,18,2,8,1,18,1,14,1,3,4,14,2,15,1,8,1,10,1,8,2,14,2,15,4,8,2,18,1,15,2,18,1,8,1,10,3,9,1,8,1,18,2,8,3,15,4,14,4,18,1,8,1,10,4,8,3,10,8,8,1,10,10,8,6,10,43,4,13,10,111,8,1,10,11,9,1,8,2,10,18,8,1,10,7,8,3,10,9,8,1,10,2,8,2,10,2,8,3,10,4,9,6,10,6,9,2,8,2,9,1,10,9,9,1,18,3,9,1,10,4,8,1,18,1,8,1,10,8,9,3,10,8,9,1,8,1,9,1,10,3,9,6,10,7,8,13,18,3,8,2,10,2,8,9,18,1,8,2,10,5,9,1,8,42,18,3,8,11,18,1,8,32,18,1,15,2,8,10,18,5,8,2,10,2,8,2,10,4,8,1,18,5,8,1,10,4,9,1,15,2,8,1,9,2,8,4,10,4,9,1,8,24,18,1,15,3,8,16,15,14,18,2,8,1,18,6,8,2,18,5,8,1,18,4,8,1,18,34,8,1,9,4,8,1,18,18,14,1,18,6,4,2,19,2,4,11,19,3,4,5,18,9,8,1,9,1,10,2,9,1,8,1,18,7,4,3,19,5,4,10,3,2,14,1,15,1,8,1,7,1,17,1,16,1,14,8,18,1,8,1,18,1,4,9,18,1,4,2,19,5,4,106,19,4,4,3,18,6,15,1,18,4,15,11,18,1,8,2,18,1,15,4,18,9,8,7,9,1,10,1,9,1,18,2,10,2,18,3,8,1,9,1,8,1,18,2,8,2,18,1,3,3,18,1,10,3,9,1,18,7,9,1,18,2,3,1,18,4,8,2,18,2,8,1,9,1,8,1,18,2,15,1,18,1,15,1,14,2,15,1,18,9,8,3,18,1,8,3,15,10,14,7,15,1,8,3,15,3,8,1,15,6,14,2,15,2,8,4,18,1,15,1,18,1,15,6,18,2,8,1,18,2,8,4,18,16,8,5,18,4,15,1,14,1,3,1,14,8,17,1,14,5,15,2,14,5,15,1,18,11,15,1,14,2,15,2,14,1,3,1,16,3,3,3,18,1,4,2,19,11,4,856,},
{4,685,3,4,18,2,10,1,18,2,10,3,18,1,3,4,16,32,3,1,18,4,10,6,8,1,18,3,8,1,10,7,8,1,18,1,8,1,10,2,8,4,10,11,8,3,10,8,8,2,18,1,8,1,10,27,8,1,10,4,8,1,18,3,8,1,10,8,8,1,18,2,8,2,10,4,8,1,18,3,8,2,18,2,8,2,10,66,8,2,10,1,8,3,10,18,8,2,10,3,8,1,18,2,8,1,18,1,14,1,3,3,14,3,15,1,8,3,15,1,14,2,18,1,8,5,15,3,18,1,8,1,10,3,8,1,15,4,18,2,15,4,14,4,15,1,8,1,10,4,8,3,10,18,8,7,10,4,8,2,10,37,9,1,10,2,4,10,10,97,8,1,10,26,8,3,10,2,8,1,10,34,8,1,10,2,8,2,10,2,8,3,10,4,18,3,9,1,10,9,9,1,8,2,10,6,9,1,10,4,8,1,18,1,9,2,10,3,9,1,18,2,8,1,10,9,9,1,8,1,9,5,10,3,9,1,18,1,8,1,9,12,10,4,8,14,18,2,8,2,10,2,8,8,18,2,8,2,10,4,9,2,8,12,9,2,8,29,18,2,8,37,9,1,8,7,18,2,8,4,18,1,8,4,18,1,15,1,18,4,8,1,10,3,9,1,8,1,10,4,8,1,18,6,8,1,10,3,8,1,15,2,8,1,10,1,8,5,10,6,8,2,18,1,8,2,10,4,8,6,9,1,10,3,9,1,8,4,15,3,8,17,15,12,18,1,8,2,18,3,15,1,18,4,8,2,18,8,8,1,9,1,8,1,18,18,8,2,18,12,9,4,18,5,9,2,8,1,18,9,8,1,18,3,15,1,18,6,4,15,19,4,4,5,18,8,8,1,10,3,9,1,8,1,18,5,4,5,19,5,4,10,18,1,3,1,14,1,15,1,14,2,17,2,14,3,3,2,14,1,18,3,14,1,18,2,4,7,18,1,3,1,18,1,4,3,19,3,4,105,19,5,4,3,18,15,15,7,18,1,8,1,9,1,8,1,18,1,15,8,18,3,8,5,18,1,8,1,10,3,9,1,18,3,9,1,18,3,8,1,10,1,9,1,18,4,14,1,3,3,4,4,18,1,3,3,18,4,9,1,18,1,3,2,18,1,8,1,9,2,18,3,8,1,10,2,8,1,18,4,15,1,14,3,15,1,18,4,8,2,18,2,8,6,18,1,15,1,8,2,15,8,14,5,15,1,8,5,15,3,8,2,15,2,8,2,15,1,14,1,15,1,8,5,18,2,8,1,18,1,15,4,18,7,8,3,18,11,8,11,18,4,14,1,3,1,14,8,16,2,14,7,15,3,14,1,3,1,14,1,18,5,15,1,14,1,15,1,18,3,14,3,18,2,14,1,3,1,16,1,3,4,4,2,19,12,4,856,},
{4,685,18,1,3,3,18,5,10,3,18,2,3,2,16,1,3,2,16,30,3,1,18,1,10,6,8,3,10,1,8,1,10,9,8,1,18,2,8,4,18,1,8,1,10,3,8,2,10,6,8,2,18,1,8,1,10,7,8,6,10,25,8,3,10,3,8,1,18,3,8,3,10,6,8,1,18,3,8,1,10,4,8,3,18,1,8,2,18,2,8,2,10,67,8,5,10,17,8,1,18,2,10,3,8,1,15,2,8,1,18,1,14,1,3,3,14,1,15,5,8,2,15,1,18,1,8,1,10,1,8,3,15,4,8,2,10,2,9,1,18,1,14,4,15,5,8,1,18,1,14,3,15,1,8,1,10,3,8,4,10,15,8,11,10,3,8,2,10,37,9,1,10,3,4,9,10,124,8,3,10,36,8,5,10,3,8,2,10,4,9,1,18,2,9,1,10,11,9,1,10,12,9,2,10,4,9,1,18,2,8,1,10,9,9,2,8,1,9,5,10,4,8,1,9,2,8,1,9,1,8,8,9,2,8,31,18,2,8,3,9,3,8,14,9,2,8,28,18,2,8,6,9,1,8,31,9,1,8,13,15,1,18,1,8,7,18,1,8,2,10,3,9,2,10,4,8,1,18,6,8,5,15,1,18,1,9,1,10,1,8,5,10,7,8,2,18,1,8,1,10,4,8,6,9,1,8,10,18,2,8,16,15,11,18,2,8,2,18,3,15,2,18,3,8,2,18,8,9,3,8,1,18,16,8,3,18,11,9,2,10,1,9,2,18,5,9,2,8,1,18,13,15,1,18,8,4,13,19,5,4,5,18,1,9,1,18,6,9,1,10,3,8,1,18,5,4,5,19,5,4,10,18,1,3,1,14,4,17,2,14,2,16,2,3,1,14,1,18,1,8,1,18,1,14,2,18,2,4,5,3,4,18,1,4,3,19,2,4,104,19,6,4,3,18,15,15,1,18,1,15,2,18,3,8,4,18,2,15,4,18,1,15,1,18,1,15,1,18,2,8,1,18,1,8,3,18,1,8,1,10,3,18,2,14,1,18,6,9,2,18,3,14,1,3,3,18,1,4,5,18,9,3,2,18,1,9,1,10,2,18,4,9,1,10,1,9,1,8,1,18,3,15,1,14,3,15,1,18,1,8,1,18,1,8,1,10,2,8,1,18,1,8,6,15,2,8,3,15,9,14,3,15,2,8,5,15,2,8,6,15,2,8,6,15,2,8,2,18,1,15,5,18,5,8,2,18,15,8,1,9,6,8,1,18,2,8,1,18,1,14,1,3,1,14,9,17,1,14,7,8,3,14,1,3,1,14,1,18,5,14,4,18,3,14,2,18,1,8,1,18,2,3,3,16,1,3,1,18,1,4,2,19,11,4,856,},
{4,687,18,5,4,2,10,1,4,1,18,2,3,2,16,2,3,3,16,27,3,2,10,5,18,1,3,1,14,1,8,2,18,1,14,1,18,1,10,8,8,1,18,3,8,5,10,4,8,2,10,6,18,2,8,2,10,6,8,2,10,3,8,3,10,24,8,6,18,4,8,3,10,6,18,3,8,2,10,1,8,2,18,1,8,4,18,4,8,2,10,32,8,2,10,33,8,1,18,1,8,1,10,12,8,1,18,2,8,1,10,2,8,1,14,1,3,1,14,1,10,3,8,1,18,1,15,1,8,2,14,1,3,1,14,4,15,1,14,3,8,1,10,6,8,1,18,1,15,1,18,2,8,2,10,2,9,1,8,1,15,1,14,1,15,2,14,3,15,2,18,1,8,3,15,2,18,1,8,1,10,3,8,1,18,1,8,2,10,14,8,4,10,6,8,4,10,35,8,1,10,8,4,10,10,78,8,2,10,37,8,2,10,5,8,2,10,32,8,9,10,9,9,1,8,1,10,31,9,1,18,3,10,5,8,1,18,1,10,2,9,2,18,1,9,2,10,3,8,2,9,1,10,4,9,3,8,2,18,2,8,4,9,3,8,35,9,1,10,1,8,14,9,2,8,18,15,2,8,2,9,1,10,2,8,3,18,1,15,1,18,1,8,15,10,2,8,15,10,1,8,9,15,2,8,1,10,2,8,3,15,1,8,1,15,2,8,2,10,1,8,4,18,2,8,1,9,4,10,5,8,1,18,3,8,2,18,2,8,7,9,3,8,4,10,7,9,1,8,2,10,5,8,8,18,1,8,8,18,2,8,7,18,1,15,1,18,1,8,6,15,11,18,1,8,3,18,8,8,1,18,6,8,1,9,3,8,1,18,17,8,2,18,12,9,5,18,6,9,1,18,13,15,1,18,9,4,13,19,4,4,5,18,3,9,2,18,5,9,1,10,2,9,1,8,1,18,2,9,1,18,1,4,4,19,6,4,10,18,1,3,2,14,4,17,1,16,5,3,1,14,1,15,1,8,2,14,1,18,2,4,5,3,1,16,1,3,4,18,1,4,2,19,1,4,1,19,3,4,100,19,6,4,3,18,12,15,3,18,8,8,4,18,1,15,2,18,1,8,4,18,2,8,1,18,3,8,2,18,1,8,1,10,3,18,10,8,2,18,2,14,1,3,1,18,2,10,1,4,6,10,2,18,2,10,1,18,1,3,2,18,1,9,1,18,2,10,2,9,1,18,4,8,1,10,2,8,1,18,1,14,2,18,4,8,2,18,1,8,1,10,2,8,1,18,1,8,2,18,6,8,2,18,6,15,5,14,4,15,3,8,1,15,4,8,5,15,2,8,2,18,2,8,2,15,2,18,1,8,1,18,1,15,3,14,2,18,14,3,1,18,4,3,2,18,2,9,2,18,2,9,1,10,1,9,1,18,5,14,2,3,1,14,3,15,1,14,10,15,1,8,3,15,1,14,3,18,2,14,3,3,3,14,1,18,5,8,2,18,1,14,2,3,1,16,2,3,1,18,1,4,5,19,7,4,856,},
{4,688,18,4,4,2,10,1,4,1,18,1,3,8,16,26,3,2,9,1,10,4,18,1,3,3,18,2,3,2,14,1,8,1,10,3,8,1,10,3,8,1,18,2,8,2,10,8,8,1,10,7,8,3,10,7,8,1,10,5,8,2,10,24,8,6,18,2,8,5,10,5,8,1,18,1,8,4,10,1,8,1,18,3,8,3,18,4,8,3,10,31,8,3,10,24,8,2,10,7,8,2,10,12,18,1,14,1,3,1,14,1,8,2,15,1,3,3,10,3,8,1,14,2,8,2,15,1,14,9,15,1,8,1,10,5,8,2,18,1,8,3,10,3,8,1,18,1,15,2,18,1,15,1,14,5,15,1,8,1,10,1,8,1,18,2,8,2,10,3,8,1,18,1,8,2,10,14,8,3,10,8,8,3,10,34,8,3,10,13,4,3,10,79,8,2,10,44,8,2,10,28,8,2,9,1,8,10,10,8,8,2,9,1,10,24,9,3,10,4,9,1,18,2,9,1,10,5,18,2,8,1,10,3,9,2,10,4,9,1,8,1,18,1,9,1,10,3,9,3,8,2,18,2,8,3,10,3,9,1,8,35,9,1,10,1,8,39,9,1,8,4,18,2,8,9,9,1,8,6,10,2,8,15,10,1,8,8,18,1,15,2,8,1,10,3,8,1,15,3,8,3,10,2,8,10,9,1,10,5,8,1,18,3,8,12,9,3,8,3,10,8,8,3,9,1,10,3,8,7,18,3,8,3,9,1,8,13,18,1,8,4,15,1,8,3,15,10,18,3,8,1,18,15,8,1,9,2,18,33,9,3,8,1,18,2,9,1,18,4,8,1,18,13,15,1,18,3,8,3,18,4,4,13,19,2,4,6,18,4,10,1,9,1,18,4,8,1,10,3,8,1,18,2,9,1,18,1,4,4,19,5,4,11,18,1,3,2,14,3,17,1,16,8,14,1,8,2,14,2,18,1,4,4,18,1,3,1,16,3,3,3,18,1,4,2,19,4,4,100,19,7,4,2,18,5,15,2,18,5,15,3,18,2,8,3,18,5,8,2,18,2,15,1,18,1,8,4,18,7,8,1,18,2,8,1,18,13,8,2,18,4,10,2,4,6,10,2,18,2,10,2,3,2,18,1,10,1,18,4,9,2,18,4,8,1,10,1,9,1,18,1,14,2,18,1,8,3,18,1,8,1,18,1,8,1,10,2,8,1,18,2,8,2,18,1,15,2,8,3,18,7,15,7,14,4,15,7,8,3,15,1,14,1,15,5,8,1,18,1,15,3,18,3,15,1,14,3,18,4,9,2,18,22,10,2,9,1,18,1,9,2,18,1,14,1,3,2,14,6,15,1,14,7,15,1,8,3,15,1,14,1,15,2,14,6,3,2,14,4,15,1,18,1,10,1,9,1,18,2,14,1,3,1,16,3,3,1,18,1,4,1,18,2,4,2,19,6,4,856,},
{4,687,18,2,3,1,18,3,4,1,10,2,18,1,3,1,16,1,3,2,18,2,3,1,16,15,3,1,16,11,3,2,18,1,10,2,8,1,3,1,16,2,3,1,14,1,18,2,3,3,14,1,18,4,8,1,10,3,8,2,10,24,8,2,10,2,8,1,10,5,8,2,10,24,8,3,10,1,8,4,10,4,8,1,10,4,18,2,8,1,10,2,8,1,18,1,8,4,18,1,8,2,10,1,8,3,18,2,8,2,10,31,8,1,10,25,8,3,10,3,8,2,10,6,8,1,10,9,8,1,14,1,3,2,18,1,8,1,15,1,14,1,3,1,14,1,10,3,18,1,14,2,18,1,8,2,18,1,14,4,15,2,14,3,15,1,8,2,10,4,8,3,9,1,10,5,8,1,18,1,15,1,18,2,14,6,8,3,18,1,8,3,10,3,8,1,18,1,8,2,10,14,8,2,10,9,8,3,10,5,8,5,10,25,8,1,10,50,4,6,10,22,8,1,10,62,8,3,10,29,9,1,10,3,8,7,10,10,9,2,10,5,9,2,10,6,9,1,10,3,9,3,10,3,9,1,8,3,9,1,10,4,9,1,8,1,10,6,9,1,8,1,10,9,9,1,10,2,18,2,10,2,9,1,8,1,9,2,8,5,10,6,9,1,8,34,9,1,10,1,8,44,18,2,8,8,9,3,8,22,10,2,8,8,15,2,8,2,10,1,8,3,15,2,8,11,18,3,8,2,10,5,9,1,8,2,18,2,8,12,9,2,8,3,10,7,9,1,8,2,18,1,8,1,9,2,8,9,18,1,8,27,15,12,18,18,8,1,18,34,8,1,9,1,18,4,8,1,18,4,8,1,18,13,15,1,18,10,4,18,19,2,4,2,18,2,4,2,18,3,8,2,9,1,8,3,18,6,4,19,18,1,3,3,17,1,16,10,3,1,14,4,18,1,10,4,3,2,16,3,3,4,18,1,4,1,19,5,4,1,19,3,4,95,19,8,4,1,18,4,15,1,14,2,15,1,18,10,8,3,18,7,15,2,18,2,8,2,18,2,15,1,18,2,8,5,18,3,4,1,18,1,3,3,18,6,8,1,9,2,8,1,18,3,10,2,4,6,10,2,18,2,4,6,10,1,18,4,9,1,18,6,9,1,8,1,18,3,8,3,18,3,8,1,10,2,8,7,18,1,8,3,18,2,15,7,18,5,15,1,14,3,15,1,14,5,15,5,14,6,15,1,18,1,15,2,18,2,8,2,15,1,14,3,15,1,18,3,9,3,18,3,4,13,18,5,10,6,18,1,3,3,14,1,15,1,14,4,15,2,8,1,15,1,14,2,15,3,8,3,14,2,15,1,18,3,14,4,3,6,14,1,18,1,10,2,18,1,3,2,16,5,3,5,18,1,4,1,19,5,4,856,},
{4,688,18,3,4,2,10,1,9,1,10,1,18,1,3,1,16,1,3,1,4,3,3,2,16,24,3,2,18,1,3,5,16,3,3,1,18,3,3,7,14,1,8,1,10,29,8,2,10,34,8,8,10,8,8,1,18,2,8,1,10,2,8,8,10,4,8,1,18,3,8,1,10,56,8,1,18,2,8,2,10,2,18,2,10,5,8,2,10,9,8,1,14,1,3,2,14,1,18,1,15,1,14,1,15,1,8,1,10,3,18,1,3,2,14,1,8,1,10,1,8,1,14,1,3,1,14,2,15,3,14,3,15,1,8,2,10,4,8,1,10,7,9,1,18,1,15,1,18,2,14,6,15,1,8,1,18,2,8,2,10,4,8,4,10,13,8,3,10,17,8,5,10,10,8,2,10,13,8,1,10,50,4,6,10,21,8,3,10,60,8,4,10,22,8,2,10,11,8,5,10,10,8,2,9,1,10,3,9,1,18,2,9,1,10,5,9,1,10,3,9,6,8,5,10,22,9,2,10,2,18,2,10,2,9,1,8,2,9,2,8,2,9,2,10,7,9,2,8,33,9,1,8,33,10,2,8,3,15,2,8,7,9,10,8,22,10,2,8,8,18,2,8,7,15,1,8,2,10,1,8,9,18,2,8,2,10,5,9,1,8,7,9,2,8,12,10,5,9,1,8,4,18,2,8,2,18,2,8,2,9,3,8,23,10,2,8,5,15,13,18,48,9,1,8,1,18,31,8,1,18,7,4,17,19,3,4,5,18,2,8,4,18,9,4,20,3,2,16,16,14,2,8,1,10,3,3,2,16,3,3,5,4,1,19,10,4,94,19,8,4,2,18,3,15,1,14,2,15,1,18,12,8,2,18,2,15,1,18,11,15,1,18,2,8,5,18,2,4,3,18,1,3,1,18,9,8,1,18,4,10,1,18,1,4,2,18,2,4,2,18,4,4,7,18,2,3,1,18,6,3,1,18,1,9,1,10,1,18,4,9,1,8,1,18,3,8,1,9,1,10,1,9,1,8,1,18,1,8,9,15,9,18,3,8,1,18,1,15,1,14,10,15,2,14,8,15,4,18,1,8,2,15,1,14,2,15,2,18,3,9,2,18,2,9,1,10,1,4,14,18,5,10,5,18,6,14,5,15,1,8,2,15,1,14,1,15,1,18,1,15,2,18,1,15,1,14,2,15,1,18,7,14,1,3,6,18,1,10,2,18,1,3,2,16,1,3,3,16,4,3,3,4,2,19,4,4,856,},
{4,692,10,1,8,1,18,1,10,1,3,4,4,3,18,1,3,2,16,22,3,1,18,1,9,1,18,1,3,2,16,4,3,1,18,1,10,2,18,1,14,1,18,2,14,1,3,4,18,1,8,1,10,11,8,3,10,12,8,1,10,13,8,1,10,23,8,5,18,3,8,1,10,10,8,2,10,5,8,1,18,2,8,1,10,5,8,1,18,3,10,56,8,1,18,4,8,3,18,2,8,1,10,3,8,2,10,11,18,1,3,2,18,2,15,1,18,1,8,1,10,4,18,1,3,3,15,1,10,1,8,1,3,1,16,1,3,1,14,1,15,4,14,1,15,1,8,3,10,8,8,2,9,1,10,1,9,1,15,1,14,1,18,2,15,1,14,1,15,1,14,3,15,1,8,5,10,4,8,3,10,14,8,3,10,20,8,1,10,11,8,2,10,13,8,4,10,47,4,6,10,21,8,3,10,59,8,5,10,3,8,1,10,18,8,2,10,10,8,2,10,1,8,1,10,12,8,3,10,2,8,1,18,3,8,1,9,1,10,3,9,1,10,5,9,5,8,7,10,11,9,2,10,7,9,2,10,2,8,2,10,3,8,2,9,4,10,10,9,1,8,71,15,3,8,7,10,1,9,10,8,21,10,3,8,18,10,2,8,4,15,1,8,8,10,5,9,1,8,7,9,2,8,7,9,3,8,1,9,1,10,4,9,1,8,1,18,2,8,2,18,2,8,2,18,2,8,1,10,2,9,2,8,15,18,1,8,6,10,3,8,6,15,12,18,14,8,1,18,33,8,1,18,9,8,2,18,20,8,3,18,6,4,5,19,5,4,7,19,4,4,4,18,4,8,1,18,8,4,22,3,2,16,16,14,2,15,1,10,3,3,2,16,3,17,1,3,4,18,1,4,2,19,8,4,94,19,8,4,2,18,4,14,3,15,3,18,10,8,1,18,1,15,4,18,5,15,3,18,7,8,1,10,2,4,5,18,1,4,2,18,13,4,3,18,3,4,1,18,4,4,9,18,1,3,2,18,4,3,2,9,1,10,1,18,4,9,2,18,3,8,4,18,1,15,1,18,1,8,1,9,1,8,1,18,1,8,4,18,1,15,4,14,1,15,2,18,7,15,2,14,19,15,4,8,2,15,3,18,9,9,1,10,1,4,8,19,3,4,5,18,2,4,10,18,6,3,1,14,1,18,2,15,2,18,2,15,2,18,1,14,3,15,1,18,1,15,3,18,1,8,1,18,2,3,6,14,1,10,2,8,1,14,1,3,5,16,4,3,3,18,1,4,1,19,4,4,856,},
{4,691,10,1,8,1,9,2,18,1,3,2,18,1,4,4,18,2,3,2,16,20,3,1,18,1,10,2,8,1,3,1,16,4,3,1,10,4,18,2,8,1,18,1,3,4,18,1,8,1,10,11,8,1,18,2,8,1,10,12,8,1,10,13,8,1,10,23,8,1,18,7,8,1,10,10,8,2,10,5,18,3,8,1,10,5,8,1,18,3,10,5,8,2,10,48,8,1,18,1,14,1,18,4,8,2,18,1,8,5,18,1,8,1,10,5,8,3,10,3,8,1,14,5,18,1,8,1,10,4,8,1,14,1,3,2,14,1,8,2,3,3,14,2,15,1,18,1,8,1,18,1,8,1,10,2,8,2,10,6,8,1,18,3,9,1,8,1,15,1,14,1,18,1,8,1,18,4,15,2,8,5,10,5,8,2,10,15,8,2,10,33,8,2,10,13,8,3,10,48,4,6,10,21,8,3,10,15,8,1,10,27,8,3,10,12,8,5,10,4,8,2,10,17,8,2,10,8,8,3,10,6,8,2,10,6,8,4,9,1,10,1,8,1,18,3,8,3,18,1,8,1,9,1,10,6,9,2,10,6,8,4,10,10,9,1,8,1,9,1,10,2,9,1,10,3,9,2,10,7,9,1,10,16,8,46,10,1,8,24,15,3,8,7,10,1,9,10,8,23,9,1,8,18,10,2,8,4,15,1,8,2,9,1,10,3,9,1,8,1,9,1,10,3,9,1,8,1,18,1,8,12,18,1,8,7,10,2,8,3,18,3,8,2,18,2,8,2,18,2,9,1,10,2,9,1,8,4,18,3,8,2,9,1,10,1,9,1,8,4,18,1,8,6,10,4,8,6,15,11,18,7,8,1,18,6,8,1,18,65,8,3,15,2,18,7,4,2,19,6,4,6,19,6,4,2,18,3,8,1,10,1,9,1,8,1,18,3,9,1,18,1,4,22,18,1,3,2,16,16,17,2,14,1,8,1,10,1,9,1,18,1,3,2,17,1,14,5,3,1,18,1,4,3,19,7,4,94,19,8,4,2,18,4,14,4,15,3,18,4,15,3,18,5,15,3,18,1,8,2,18,1,15,4,18,6,8,1,10,3,4,12,18,6,3,1,18,2,4,21,18,3,10,2,18,1,3,2,18,1,10,1,18,4,9,1,10,1,18,6,8,1,18,1,15,2,8,3,18,1,8,4,18,2,15,7,18,5,8,1,18,1,15,1,14,19,15,2,14,2,18,2,15,2,18,10,9,1,10,1,4,8,19,4,4,17,18,5,3,2,18,7,15,1,18,2,14,3,15,1,14,2,15,1,18,1,9,1,18,2,14,1,3,6,18,1,8,1,18,2,14,1,3,1,14,1,3,4,16,2,3,4,18,1,19,4,4,856,},
{4,689,10,1,4,1,8,3,10,1,18,1,3,2,4,4,18,3,3,2,16,20,3,1,9,1,10,2,8,1,14,1,3,1,16,2,18,1,10,6,8,2,18,1,3,2,14,1,8,1,10,12,18,2,14,1,18,1,8,2,18,2,8,1,10,22,8,1,10,10,8,2,10,10,8,2,18,7,8,1,10,9,8,2,10,4,18,5,8,2,10,4,8,1,18,1,14,1,18,1,10,4,8,3,10,49,18,1,14,1,18,1,8,1,18,3,8,2,10,2,8,1,18,1,14,1,18,1,8,1,10,4,8,1,18,2,8,1,10,4,18,1,14,4,18,1,8,1,10,5,14,1,3,2,14,1,8,2,14,1,3,2,14,2,15,1,18,1,8,3,10,2,8,2,9,1,10,4,8,1,18,1,15,1,14,1,15,1,18,2,14,2,18,1,8,12,10,4,8,2,10,15,8,3,10,47,8,2,10,50,4,6,10,54,18,1,9,1,10,10,8,4,10,10,8,6,10,5,8,3,10,16,8,2,10,8,8,3,10,6,8,3,10,5,8,3,9,1,10,2,8,7,18,2,9,1,10,29,9,2,10,2,9,2,10,2,9,1,10,13,9,1,8,3,9,2,10,6,9,1,8,45,10,1,8,17,15,2,8,4,15,2,8,9,9,11,8,3,18,1,8,38,10,2,8,8,10,3,9,1,8,2,9,1,10,2,9,1,8,1,18,1,8,11,18,3,8,8,18,6,8,2,18,2,8,4,9,4,8,5,18,2,8,2,9,1,10,2,8,8,18,1,8,2,10,3,8,7,15,11,18,14,8,1,18,64,8,4,15,1,18,9,4,2,19,5,4,6,19,7,4,1,18,1,8,2,10,9,4,5,19,5,4,12,18,1,3,2,16,1,17,2,16,4,17,2,16,7,17,1,16,1,14,1,15,1,9,2,18,1,3,2,14,2,7,1,15,1,18,5,4,103,19,8,4,1,18,6,15,1,14,3,15,2,18,3,15,5,18,4,15,2,18,2,8,3,18,1,15,2,18,1,8,2,18,4,8,1,10,3,4,16,18,5,4,25,10,2,18,2,9,1,10,1,18,4,9,1,10,1,18,8,15,2,8,2,18,2,8,3,18,3,15,9,18,3,8,2,18,1,15,1,14,11,15,2,14,9,15,2,14,2,15,1,18,7,14,1,18,2,10,1,4,7,19,6,4,1,19,2,4,9,19,1,4,3,18,5,3,2,18,1,4,1,18,6,8,2,18,1,15,1,14,4,15,1,18,5,14,3,3,3,14,1,18,8,3,9,4,1,19,3,4,856,},
{4,689,8,5,18,1,3,1,18,2,4,2,18,1,3,3,18,2,3,1,16,18,3,1,16,1,3,1,10,3,8,1,18,1,14,1,3,1,18,1,10,9,18,4,10,9,8,3,18,5,8,2,18,2,8,1,10,11,8,2,10,20,8,1,10,11,8,1,18,4,8,1,18,1,8,3,10,9,8,2,10,3,8,1,18,3,8,4,10,5,18,1,14,1,18,1,8,1,10,2,8,1,18,1,8,2,10,49,8,1,18,1,8,4,18,1,8,2,10,2,8,1,14,2,18,1,10,4,8,1,18,3,8,1,10,4,8,1,18,1,14,3,18,1,8,1,10,5,8,1,14,1,3,1,14,1,15,1,18,1,14,2,3,1,14,2,15,1,8,8,10,5,8,1,14,4,15,1,18,1,15,2,18,1,9,1,8,1,9,3,10,1,9,1,8,10,10,7,8,1,10,8,8,2,10,48,8,1,10,51,4,5,10,55,18,2,10,10,8,5,10,8,8,6,10,7,8,4,10,13,8,2,10,9,8,3,10,6,8,3,10,5,8,2,10,3,8,4,9,1,10,2,8,3,9,1,10,29,9,8,10,14,8,6,9,2,10,4,9,1,8,45,10,1,8,18,15,6,8,3,10,2,8,7,9,1,8,2,9,6,8,49,18,1,15,1,8,1,9,1,10,2,9,1,8,2,9,4,8,1,18,1,8,10,18,15,8,5,18,3,8,13,18,1,8,3,9,2,8,8,18,3,8,1,10,2,8,1,18,1,8,5,15,8,18,2,15,1,18,14,8,1,18,64,8,4,18,7,3,1,18,2,4,3,19,4,4,6,19,7,4,1,10,2,9,1,10,9,4,4,19,6,4,12,18,1,3,1,16,2,17,1,14,1,17,1,16,3,17,2,16,9,17,1,14,1,8,1,9,1,18,1,14,1,3,1,14,1,7,1,15,1,8,3,18,5,4,5,18,4,4,4,19,3,4,85,19,7,4,2,18,7,14,3,15,1,18,5,15,4,18,1,8,2,18,2,15,1,18,1,8,4,18,1,15,2,18,1,8,3,18,3,10,2,18,2,4,8,19,6,4,32,10,1,18,2,3,1,18,7,9,2,18,4,15,1,18,8,8,2,18,1,15,14,18,1,8,1,9,1,18,1,15,1,14,10,15,1,14,1,15,1,14,14,15,1,18,1,8,3,18,2,14,1,18,2,10,1,4,6,19,11,4,8,19,3,4,6,18,2,4,5,18,3,8,1,9,1,8,1,18,1,15,1,14,3,15,1,18,7,14,1,3,4,14,1,18,5,8,1,9,2,18,2,3,6,4,860,},
{4,688,10,1,8,4,10,1,3,2,10,2,18,1,3,1,18,1,3,1,16,1,3,4,16,3,3,1,16,14,3,3,9,1,10,9,8,2,10,8,8,2,10,8,8,2,18,5,8,3,18,1,8,1,10,4,8,3,10,4,8,3,10,16,8,1,18,1,10,14,8,1,18,3,8,5,10,10,8,1,10,4,18,4,8,1,10,1,8,2,10,5,18,3,8,3,18,2,8,1,10,23,8,1,10,11,8,4,10,12,8,1,18,1,8,3,18,3,8,1,10,1,8,1,14,2,8,1,10,3,8,1,18,4,10,6,18,1,14,1,3,1,18,1,8,1,10,6,8,1,15,1,14,6,3,1,14,1,15,1,8,5,18,1,8,1,10,7,18,1,14,4,15,2,18,2,8,2,9,1,10,5,8,11,10,6,8,2,10,7,8,2,10,48,8,1,10,74,8,6,10,31,18,1,10,15,8,2,10,22,8,4,10,10,8,3,10,5,8,2,10,2,8,2,10,8,8,2,10,5,8,1,10,4,8,4,10,6,9,2,10,29,9,3,10,2,9,2,10,14,8,7,9,1,10,4,9,1,8,6,18,4,8,57,15,1,8,5,10,1,8,10,9,8,8,11,9,1,8,7,18,2,8,11,18,4,8,5,18,1,15,1,18,1,8,4,18,1,15,2,8,1,9,1,8,2,18,1,8,2,9,1,10,1,9,1,8,7,9,2,8,4,18,7,15,2,14,2,18,2,8,1,10,3,9,1,8,1,18,4,8,2,18,4,8,1,9,4,8,2,18,2,8,5,9,4,8,2,18,4,9,1,8,1,18,2,15,1,8,3,15,9,18,2,15,1,18,46,14,1,18,33,8,3,18,10,4,15,19,5,4,1,10,12,18,1,4,3,19,7,4,11,18,1,3,2,16,1,14,2,17,1,16,14,17,1,14,1,8,1,9,2,14,1,3,1,14,2,15,1,8,4,18,10,3,4,18,1,4,2,19,5,4,85,19,5,4,2,18,7,15,1,14,1,15,3,18,1,8,2,18,2,15,2,18,2,8,2,18,2,15,1,18,1,8,4,18,2,15,1,18,1,8,3,18,3,9,1,18,3,4,8,19,11,4,22,19,2,4,3,18,2,3,3,18,1,4,2,18,5,9,1,18,2,15,1,18,3,8,2,18,3,8,3,18,1,15,9,18,2,15,1,18,3,8,2,18,1,15,1,14,3,15,3,14,11,15,5,14,6,15,1,8,5,18,4,4,7,19,10,4,5,18,1,3,1,18,1,4,1,19,2,4,2,19,4,4,2,18,2,4,3,18,3,9,1,10,1,9,1,18,2,14,3,18,7,3,5,14,1,18,2,14,1,3,2,18,2,9,1,10,1,9,1,18,1,4,1,18,1,3,2,18,4,4,858,},
{4,687,18,1,9,1,8,5,18,2,8,1,10,1,3,1,16,1,3,2,16,2,3,3,16,2,3,3,16,10,3,5,18,1,9,1,10,1,18,2,10,5,18,3,10,18,8,1,18,1,14,2,18,1,8,1,10,2,8,2,10,4,8,1,18,4,8,1,10,2,8,2,10,18,18,2,10,14,8,1,18,4,8,8,10,11,8,1,18,2,8,1,10,8,8,1,18,3,8,2,18,3,8,1,10,22,8,1,10,11,8,5,10,13,8,4,18,1,14,2,18,1,10,1,8,1,14,2,8,1,10,2,8,2,18,2,8,2,10,6,8,1,18,2,8,1,10,8,8,2,14,3,3,3,14,1,18,1,8,4,18,1,15,1,8,1,10,6,8,1,15,1,14,3,15,1,14,1,15,1,8,4,9,4,10,1,8,2,18,4,8,2,10,1,8,2,10,7,8,2,10,6,8,2,10,103,8,2,10,19,8,6,10,64,8,2,10,5,8,4,10,9,8,3,10,6,8,2,10,23,8,5,10,6,8,1,18,1,9,1,10,3,9,5,8,4,10,3,8,1,10,6,8,2,10,4,9,2,10,3,9,1,18,1,9,3,10,12,8,6,9,2,10,3,8,7,18,5,8,5,18,1,8,53,10,3,8,3,10,3,8,6,9,10,8,7,9,5,8,4,18,2,8,11,18,4,8,3,9,1,8,1,15,2,18,1,8,3,9,1,8,1,14,2,8,4,15,1,18,1,8,1,9,3,8,7,9,2,8,8,18,3,15,2,18,2,8,2,9,1,10,3,8,1,18,5,8,1,9,1,18,4,8,1,9,4,8,2,18,2,8,4,9,1,10,4,9,1,8,1,18,4,8,2,18,1,15,12,18,4,15,1,18,46,14,1,18,33,8,4,18,13,4,3,18,2,4,12,10,1,9,3,10,2,9,3,10,2,18,2,4,4,19,7,4,11,3,2,16,1,14,2,17,1,16,14,17,1,14,1,15,1,8,2,14,3,15,4,8,2,18,1,14,2,3,1,14,1,18,2,3,2,18,1,3,5,18,1,4,1,19,6,4,85,19,4,4,3,18,7,15,2,18,3,8,3,18,4,8,3,18,1,15,2,18,1,8,4,18,2,15,1,18,1,8,3,18,5,3,2,18,1,4,7,19,12,4,20,19,4,4,3,18,5,4,6,18,1,9,1,18,5,8,1,10,1,9,1,18,3,8,3,18,5,15,4,18,7,8,2,18,1,15,8,14,7,3,1,14,1,15,1,18,1,15,2,18,1,15,1,14,7,15,1,8,4,18,5,4,5,19,12,4,5,18,1,3,1,18,1,19,8,4,8,18,3,10,1,18,5,14,2,18,2,9,2,18,2,3,4,18,2,8,1,18,1,3,4,18,2,9,2,10,1,4,2,18,2,4,2,18,1,3,2,18,1,4,856,},
{4,688,8,2,10,2,8,2,10,1,18,1,8,1,18,1,16,2,3,1,16,3,3,1,18,1,3,1,16,3,3,2,16,10,3,4,18,2,9,1,18,1,14,1,18,1,8,1,10,3,18,1,14,1,18,1,10,3,8,1,18,2,8,1,10,12,8,1,18,1,3,2,18,1,10,3,8,2,10,4,8,1,18,1,14,3,18,1,8,2,18,1,8,1,10,17,8,1,18,1,8,1,10,2,18,1,10,11,8,1,18,6,8,3,18,2,8,1,10,11,8,2,10,10,8,1,18,2,8,4,18,2,8,1,10,33,8,2,18,1,8,1,10,10,8,3,10,5,18,1,14,1,3,2,18,1,8,2,14,2,8,1,10,3,8,4,10,9,8,1,10,10,8,1,18,1,14,1,3,1,16,2,3,1,14,1,15,1,8,5,18,1,8,1,10,6,8,1,14,3,15,1,18,1,14,1,15,1,8,1,9,1,8,4,18,2,8,3,15,4,8,1,10,11,8,2,10,6,8,2,10,103,8,2,10,2,8,2,10,15,8,6,10,64,8,3,10,5,8,2,10,10,8,3,10,6,8,2,10,24,8,3,10,6,8,1,18,3,9,3,18,2,8,8,10,2,8,2,10,5,8,3,10,3,9,1,10,5,9,1,18,1,8,2,9,1,10,6,9,1,8,1,9,1,10,4,9,2,8,1,9,6,8,7,18,5,8,21,10,4,8,33,10,4,8,3,10,3,8,6,9,7,10,2,9,1,8,7,9,3,8,6,18,2,8,10,18,1,15,2,18,1,8,3,9,2,8,1,15,2,18,1,8,3,9,1,8,1,15,2,8,1,10,1,9,1,8,1,18,1,15,1,8,2,9,1,8,20,18,2,8,1,10,4,9,1,10,3,8,1,18,1,8,2,18,2,8,1,9,1,8,1,18,2,8,7,18,1,8,7,10,4,9,1,8,1,18,4,8,2,18,2,15,12,18,18,8,1,18,35,8,1,18,7,15,1,18,21,8,4,18,18,4,5,18,1,4,6,18,4,8,1,18,9,4,5,19,5,4,11,18,1,3,1,16,1,14,1,6,1,16,13,17,3,14,2,8,1,18,1,14,3,15,2,14,1,15,2,18,3,14,3,18,2,3,2,18,2,3,4,18,1,4,2,19,6,4,85,19,3,4,4,18,6,15,4,18,3,8,1,18,5,8,2,18,1,15,2,18,2,8,3,18,5,8,2,18,6,3,1,18,1,4,7,19,12,4,20,19,4,4,14,18,1,8,1,18,5,9,1,10,2,18,3,8,6,18,4,15,5,18,7,15,4,18,2,15,2,14,9,15,1,18,1,15,4,14,7,15,2,8,3,18,7,4,3,19,14,4,2,19,1,4,1,18,2,4,1,19,10,4,5,18,2,4,3,18,2,8,1,18,1,15,1,14,2,18,1,10,2,9,1,18,1,14,1,3,2,14,1,18,1,9,1,10,1,9,1,14,1,3,1,16,1,3,3,18,3,4,7,18,1,3,1,18,1,4,856,},
{4,687,10,3,4,1,10,1,8,4,10,1,3,1,16,6,3,2,16,15,3,5,18,3,3,4,18,1,10,2,14,2,18,1,8,1,10,2,8,1,18,1,14,2,18,1,8,1,10,10,8,1,18,1,3,1,14,1,8,1,10,3,8,2,10,4,18,2,14,1,3,2,14,1,18,2,14,1,18,1,10,15,8,4,10,2,18,2,10,12,8,3,18,9,10,11,8,2,10,9,8,1,18,2,8,2,10,2,8,5,10,32,8,3,10,11,8,1,18,1,8,1,10,5,18,1,3,3,18,1,8,2,14,2,8,1,10,28,8,1,14,1,3,1,16,2,3,2,14,1,15,2,18,1,8,4,10,3,8,1,10,1,8,1,15,1,14,1,3,1,14,1,18,2,14,1,15,1,8,1,9,1,8,1,18,7,15,2,18,1,15,2,8,1,10,11,8,3,10,4,8,2,10,101,8,1,10,6,8,2,10,85,8,3,10,6,8,1,10,5,8,2,10,12,8,2,10,5,8,3,10,7,8,4,10,5,8,2,10,3,8,5,18,7,8,8,10,2,8,4,10,4,8,2,10,10,9,1,18,2,8,1,9,1,10,6,8,3,10,7,9,3,8,1,18,1,8,34,10,3,8,34,10,3,8,4,10,4,8,4,9,6,10,5,9,1,8,15,18,1,8,10,18,2,15,2,8,2,9,4,8,1,15,2,8,1,9,4,8,1,15,1,18,1,10,3,8,1,18,1,15,1,18,1,8,17,9,5,8,2,9,1,10,4,9,1,8,1,9,1,8,3,10,2,8,2,9,7,8,1,18,5,8,2,9,3,18,1,8,1,10,3,9,1,8,3,18,3,8,2,18,2,15,4,18,1,15,2,8,1,15,4,18,10,8,2,18,6,8,1,18,34,8,1,9,1,18,7,15,2,18,43,4,3,18,3,4,4,18,17,4,4,19,4,4,11,18,1,3,1,16,1,14,2,16,11,17,6,14,1,15,1,18,1,14,2,15,3,14,1,15,4,18,6,14,1,18,4,3,4,18,1,4,2,19,7,4,83,19,5,4,3,18,5,15,5,18,2,8,1,18,5,8,1,18,2,15,2,18,15,4,3,18,1,4,8,19,11,4,22,19,4,4,12,18,7,8,1,10,3,18,3,8,1,18,2,8,5,18,2,15,5,18,7,15,2,18,4,15,3,14,8,18,2,15,1,14,1,15,2,14,9,15,2,18,1,15,2,18,5,4,3,19,18,4,3,19,11,4,9,18,1,9,1,10,1,8,1,18,1,14,2,18,1,9,1,10,3,18,2,3,1,18,2,9,1,10,2,18,1,3,6,18,2,4,866,},
{4,687,10,3,18,1,4,1,8,1,9,1,18,1,8,1,18,1,3,1,16,6,3,2,16,13,3,7,18,2,3,2,16,3,3,1,18,1,8,1,18,1,14,2,18,2,8,1,10,2,18,1,3,2,14,1,10,10,8,1,18,1,14,1,18,1,8,1,10,3,8,2,10,4,8,1,18,2,14,3,18,2,14,1,18,1,10,14,8,4,10,2,18,2,10,3,8,2,10,10,8,3,18,7,10,11,18,2,8,1,10,7,8,1,18,2,8,2,10,5,8,4,10,32,8,1,10,12,8,1,18,1,8,1,10,2,18,1,10,2,18,1,3,1,14,2,8,1,10,1,8,1,14,2,10,7,8,2,10,9,8,2,10,9,8,1,15,1,14,1,3,1,16,2,3,3,14,2,15,1,8,2,10,3,8,1,18,1,8,1,18,1,14,1,3,2,14,1,15,2,14,2,8,1,9,1,8,1,18,1,15,1,14,1,15,4,18,1,8,1,18,1,15,2,8,1,10,10,8,4,10,3,8,3,10,101,8,1,10,85,8,3,10,6,8,2,10,12,8,1,10,14,8,1,10,4,8,5,10,5,8,6,10,4,8,1,10,4,8,5,18,7,8,1,9,2,8,4,10,4,8,1,10,19,18,2,9,1,10,1,9,1,10,5,8,3,10,8,9,1,8,1,18,3,8,1,10,1,8,67,10,3,8,4,10,5,8,1,9,9,10,6,9,2,8,6,9,3,8,7,9,1,8,7,18,4,8,1,9,6,18,2,8,1,9,5,8,2,10,3,9,1,8,1,15,2,8,17,9,2,10,3,9,1,8,1,10,5,9,1,8,4,9,1,10,2,9,1,8,2,9,1,10,3,9,2,8,1,18,5,9,2,10,2,9,1,18,1,8,1,10,3,9,1,8,1,18,1,8,7,18,1,8,12,18,4,8,3,18,3,8,3,18,4,8,2,18,33,8,1,9,2,18,4,8,2,18,2,15,1,18,32,8,1,18,5,8,1,18,4,4,3,18,24,4,4,19,4,4,11,18,1,3,1,16,1,14,2,16,11,17,6,14,1,15,2,14,2,15,9,18,5,15,1,18,4,14,2,3,1,18,2,4,4,19,5,4,83,19,6,4,3,18,4,15,2,14,2,15,2,18,9,15,3,18,15,4,45,19,9,4,7,18,7,8,1,9,1,10,1,9,1,18,2,8,1,18,3,8,1,9,1,8,3,18,3,15,5,18,13,15,3,14,2,15,3,14,1,15,3,14,7,15,4,14,3,15,2,14,2,15,1,18,5,4,7,19,11,4,2,19,14,4,9,18,2,10,2,8,1,18,1,3,2,18,1,9,1,10,3,9,1,18,4,8,1,10,2,18,1,14,1,3,4,18,3,4,865,},
{4,688,10,1,4,2,10,1,8,1,9,1,18,1,8,1,3,1,16,22,3,4,16,1,3,2,18,1,9,1,18,1,3,1,16,4,3,1,8,2,18,1,14,1,3,2,18,1,10,2,18,1,3,2,18,1,10,4,8,4,10,3,8,1,18,1,8,1,10,11,8,1,18,1,14,1,18,2,8,1,18,1,14,1,18,1,8,1,10,8,8,1,10,4,8,1,18,1,10,4,18,1,10,3,8,1,18,1,8,1,10,12,8,1,18,7,8,1,10,10,8,1,18,1,10,7,8,1,18,2,8,1,10,8,8,3,10,52,8,1,18,2,8,7,10,6,8,1,18,2,8,1,10,3,8,3,10,2,8,1,18,1,8,1,10,5,8,5,15,1,14,1,3,1,16,3,3,2,14,2,15,1,8,1,10,3,8,1,15,2,14,1,3,3,14,5,18,1,9,1,8,1,18,1,14,2,15,1,18,1,15,2,8,3,18,1,15,1,18,1,10,10,8,9,10,187,8,5,10,5,8,2,10,27,8,2,9,1,10,2,8,4,10,5,8,8,10,2,8,3,10,4,8,2,10,3,18,5,8,2,10,3,8,2,10,4,8,1,10,14,9,1,10,5,18,2,9,1,10,1,9,1,8,3,10,13,9,1,18,4,8,70,10,1,8,6,10,4,8,1,9,3,8,3,9,3,10,7,9,3,8,4,9,4,8,5,9,3,8,6,18,1,15,1,18,1,8,2,9,8,8,3,9,4,10,4,9,1,18,1,15,2,18,1,8,9,9,1,8,6,9,1,10,5,9,1,10,7,8,2,9,1,10,3,8,3,9,3,10,2,9,2,18,4,9,2,10,2,9,1,8,1,18,1,9,1,10,3,8,1,18,2,8,3,18,4,8,14,18,1,8,4,18,12,8,1,18,33,8,3,18,3,9,4,18,34,8,2,18,2,8,2,10,2,8,1,18,3,4,1,18,17,8,1,9,4,18,4,4,4,19,2,4,12,18,1,3,1,16,1,14,2,16,11,17,2,6,1,17,3,14,2,15,6,18,1,15,2,14,3,18,1,15,1,18,4,15,1,18,4,14,2,18,3,4,4,19,4,4,83,19,6,4,3,18,5,15,1,14,3,15,1,18,9,15,2,18,2,15,3,18,2,8,2,18,4,4,48,19,10,4,9,18,5,9,2,8,1,18,2,8,1,18,1,15,2,8,7,18,3,15,3,18,14,15,5,14,3,15,3,14,5,15,1,14,1,15,4,7,1,14,2,7,1,15,1,14,6,3,1,18,7,4,2,19,10,4,2,19,5,4,18,18,2,10,4,18,4,10,6,18,3,10,3,18,2,3,1,18,5,4,865,},
{4,690,10,1,8,2,9,1,18,1,10,1,3,1,16,22,3,3,16,3,3,1,10,3,3,1,16,4,14,1,10,2,8,1,18,1,14,1,3,1,18,1,10,2,8,1,18,1,10,2,8,2,10,2,18,4,10,17,8,1,14,1,3,1,18,1,8,1,10,2,8,3,10,7,8,2,10,4,8,2,10,7,8,1,18,2,10,3,18,1,10,10,8,6,18,1,8,1,10,19,18,3,8,1,10,3,8,4,10,2,8,2,10,24,8,1,10,26,8,1,18,1,8,1,10,3,8,3,10,3,8,3,10,2,18,4,10,3,18,1,14,2,18,1,8,4,10,5,15,1,3,1,14,2,8,2,15,1,3,1,16,3,3,1,14,4,8,1,10,4,18,1,15,1,14,1,3,3,14,3,3,1,14,1,18,1,8,2,18,1,14,2,18,4,8,3,18,1,14,1,18,1,10,3,8,2,10,6,8,8,10,40,8,2,10,65,8,1,10,16,8,4,10,41,8,2,10,18,8,4,10,6,8,3,10,5,8,3,10,9,8,2,10,5,8,8,10,6,8,2,10,3,8,8,10,7,4,5,18,2,8,1,9,1,10,8,8,2,10,5,8,2,10,6,9,2,10,5,9,4,10,1,8,5,10,10,9,2,8,1,18,3,8,5,10,1,8,1,10,1,8,6,18,2,8,65,10,1,9,2,8,6,9,1,10,8,9,2,8,4,9,5,8,4,9,2,8,7,18,1,15,1,18,1,8,1,9,9,8,1,18,2,8,2,9,1,10,5,8,1,15,3,8,9,9,3,8,6,9,1,10,3,9,2,8,1,18,3,8,1,10,6,9,1,8,1,18,2,8,2,18,2,9,5,18,1,8,1,9,4,8,1,18,2,8,1,10,4,8,1,18,2,8,2,18,6,8,17,18,53,9,1,10,2,9,1,18,20,9,1,8,1,18,12,8,2,18,3,8,1,10,2,8,2,18,11,9,3,18,4,9,5,18,8,4,16,18,1,3,1,16,1,14,2,17,1,16,11,17,1,6,1,17,3,14,2,15,1,14,3,15,1,18,1,8,2,18,1,15,1,14,3,18,6,14,2,18,9,4,89,19,6,4,3,18,4,8,1,15,1,14,3,15,1,18,1,8,2,18,1,15,2,18,3,15,2,18,2,15,4,8,4,18,3,4,51,19,8,4,10,18,10,15,2,18,2,8,6,18,4,15,2,18,11,15,2,18,4,15,1,14,4,15,2,14,4,15,2,14,3,15,2,7,1,14,1,15,4,14,2,3,7,18,3,3,2,4,2,19,9,4,29,10,1,4,2,18,4,4,10,18,5,4,2,18,3,4,864,},
{4,689,10,1,8,5,10,1,3,2,16,20,3,4,16,2,3,1,18,1,9,1,10,2,3,1,16,4,18,1,10,3,8,1,14,1,3,1,18,1,10,7,8,1,10,1,8,1,18,1,3,1,18,3,8,1,10,15,8,1,14,2,8,1,10,3,8,3,10,7,8,2,10,4,8,1,10,2,18,1,10,5,8,1,18,1,8,1,10,3,18,1,10,10,8,6,18,1,8,1,10,18,8,1,18,2,8,1,10,4,8,4,10,2,8,2,10,49,8,2,18,3,10,3,8,3,10,2,8,2,18,2,8,1,10,1,8,1,18,1,14,1,18,1,10,2,8,1,14,1,3,3,14,1,8,1,10,6,9,1,14,1,3,2,14,1,8,2,15,1,3,4,14,2,15,1,14,1,15,1,8,1,10,4,18,1,14,1,3,3,14,1,15,1,14,2,3,1,14,2,18,1,8,2,18,4,14,2,8,4,15,1,18,1,8,1,10,3,8,1,10,9,8,5,10,107,8,1,10,15,8,4,10,43,8,1,10,29,8,1,10,18,8,3,10,4,8,7,10,7,8,2,10,3,8,9,10,5,4,6,18,2,10,16,8,2,9,1,10,7,9,2,10,9,8,5,10,8,8,5,18,3,8,13,18,2,8,47,9,1,8,15,18,1,8,1,10,6,9,1,8,3,9,1,10,9,9,1,8,6,9,2,8,10,9,2,8,2,18,2,8,3,9,3,8,2,9,1,10,2,8,1,18,4,8,1,10,2,9,3,8,1,15,2,18,1,8,9,9,3,8,2,18,2,8,2,9,1,10,2,9,1,8,2,18,1,14,3,8,1,10,7,9,1,8,3,18,4,9,7,10,2,9,1,18,4,10,4,18,3,8,1,9,2,8,2,18,3,8,13,18,57,9,1,10,3,18,20,8,1,18,8,8,1,18,1,8,2,18,6,8,1,10,2,8,6,9,2,18,5,9,2,18,5,8,1,9,3,8,2,18,7,4,16,3,2,16,1,14,2,17,1,16,5,17,1,14,1,16,5,17,1,16,1,17,1,6,1,14,7,15,1,8,2,18,1,15,1,14,3,18,5,15,1,14,2,18,13,4,4,19,5,4,76,19,7,4,5,18,9,8,4,18,11,8,1,9,1,8,1,18,4,4,52,19,7,4,14,18,3,8,1,9,1,8,1,18,10,8,1,18,17,15,4,18,1,15,1,14,3,15,4,14,3,15,2,14,3,15,5,8,2,15,1,14,2,3,12,18,1,4,2,19,8,4,48,18,2,4,6,18,1,4,863,},
{4,689,10,1,8,4,10,1,8,1,18,1,3,1,16,21,3,1,18,1,3,4,18,1,3,2,9,1,8,1,3,2,16,1,3,1,18,1,10,3,8,1,14,1,3,1,18,1,10,4,8,2,10,3,18,7,9,1,10,12,8,5,10,3,8,1,18,2,10,4,8,1,10,9,8,1,10,2,18,1,10,6,8,3,10,7,8,2,10,3,8,1,18,3,8,4,10,3,18,1,10,16,8,4,10,3,8,3,10,3,8,2,10,12,8,1,10,35,8,2,10,1,8,1,18,4,14,1,18,1,10,2,18,2,8,1,18,1,15,2,18,1,8,1,10,1,8,1,18,1,14,1,18,2,14,1,3,1,16,3,3,1,18,1,10,6,9,1,8,1,18,1,14,2,18,1,15,1,3,2,14,1,15,1,18,3,8,1,9,1,10,3,9,1,8,2,15,1,3,2,14,1,18,1,8,2,15,1,14,4,15,1,8,1,9,2,8,2,14,1,3,2,8,1,10,2,8,1,18,2,8,1,10,5,8,3,10,6,8,4,10,7,8,3,10,108,8,9,10,11,18,3,10,15,8,4,10,59,8,2,10,2,8,2,10,4,8,2,9,1,10,10,8,12,9,1,8,1,10,3,4,8,10,4,9,1,18,1,9,1,10,8,9,1,8,2,9,1,10,8,8,1,10,9,8,8,10,5,8,6,18,2,8,10,10,2,8,1,18,1,8,48,10,1,9,1,8,15,10,8,9,1,8,3,10,10,8,11,9,1,8,4,9,4,8,1,18,2,9,1,10,1,9,1,8,7,9,1,10,1,8,3,18,2,8,5,9,2,8,1,18,1,8,2,10,1,9,1,8,7,9,2,8,2,15,2,8,2,10,3,8,3,18,4,9,1,10,2,9,3,10,4,8,1,18,4,9,2,18,2,9,2,18,1,9,1,10,2,9,1,18,11,9,1,10,4,9,1,18,2,8,8,18,12,15,3,18,2,15,1,18,7,9,4,18,33,9,1,10,3,8,1,18,1,9,1,18,12,9,2,18,8,8,7,18,7,8,3,18,2,8,1,9,1,8,4,18,2,8,1,18,10,8,6,18,3,9,1,18,1,4,16,18,1,3,3,14,4,17,1,16,2,14,4,16,7,6,1,14,4,15,1,14,1,15,2,18,2,15,10,14,3,15,1,18,3,14,3,18,8,4,3,19,4,4,76,19,8,4,3,18,5,9,2,18,3,10,4,9,2,18,14,3,3,4,51,19,7,4,9,19,3,4,2,18,3,10,4,8,2,18,7,9,2,18,10,8,6,18,1,15,1,14,1,15,3,14,3,15,1,18,1,8,1,15,1,14,3,15,2,14,2,15,8,8,1,15,1,14,2,3,4,16,2,3,3,18,2,4,35,19,4,4,25,19,2,4,2,18,5,4,858,},
{4,689,10,3,8,2,10,2,18,1,3,1,16,21,3,5,18,2,3,2,18,1,10,1,18,2,3,1,18,1,10,5,8,3,10,2,18,1,10,1,8,1,18,1,10,2,8,1,18,5,3,2,9,1,10,4,9,1,8,3,10,3,8,1,18,2,8,1,10,4,8,2,18,2,10,4,8,1,10,9,8,1,10,2,18,1,10,8,8,1,10,7,8,1,18,1,8,1,10,2,8,1,18,4,8,3,10,3,18,1,10,18,8,1,10,10,8,2,10,6,8,1,10,3,8,3,10,16,8,3,10,2,8,2,10,12,8,2,10,2,8,1,14,1,3,2,14,1,8,1,10,2,14,2,18,1,8,1,18,1,15,1,18,1,8,3,14,4,3,2,16,1,3,2,14,1,8,1,10,8,9,1,18,1,14,2,3,3,18,1,9,1,10,2,8,2,10,3,8,1,18,3,15,1,3,2,15,1,8,1,10,2,18,1,14,5,15,1,10,2,8,1,15,1,3,1,16,1,3,1,18,1,10,2,8,4,10,5,8,1,18,1,8,2,10,6,8,4,10,6,8,3,10,7,8,1,10,55,8,1,10,43,8,6,10,2,8,1,10,12,18,3,10,16,8,2,10,56,8,1,10,3,8,2,10,2,8,2,10,4,8,2,10,11,8,7,10,2,9,1,8,1,9,1,8,3,10,2,4,8,10,3,9,1,18,2,9,1,10,8,9,3,10,19,8,2,10,4,8,2,10,5,8,6,18,2,8,3,18,1,8,6,10,2,8,1,18,1,8,48,10,2,8,13,10,10,8,4,10,1,8,1,10,4,8,1,10,3,9,1,8,10,9,2,8,3,9,4,8,1,18,1,8,1,10,2,9,1,8,12,15,3,8,1,15,3,8,1,10,1,8,3,9,1,10,2,8,4,18,2,8,1,9,1,8,2,15,3,8,2,10,2,8,4,18,4,9,7,10,4,18,4,9,2,18,3,9,2,10,6,9,1,18,9,10,5,9,1,8,9,18,24,8,1,9,3,8,2,18,8,8,3,18,17,8,1,9,1,18,2,8,1,9,3,8,2,9,1,8,1,18,11,9,2,18,7,8,7,18,7,8,1,18,5,8,1,9,2,8,1,18,4,8,1,18,11,8,6,15,1,18,1,9,1,18,1,4,16,18,1,3,3,14,4,17,2,14,5,16,7,17,1,14,4,15,16,14,2,15,5,14,4,15,1,18,1,15,1,14,1,3,4,4,2,19,3,4,78,19,7,4,3,18,5,10,1,18,2,3,1,18,2,10,3,18,15,4,1,18,1,3,1,18,1,4,66,19,4,4,2,18,3,10,4,8,2,18,7,10,2,18,11,8,5,18,1,15,1,14,2,15,2,14,3,15,1,8,2,15,1,14,4,15,13,14,2,3,2,14,1,3,1,16,2,3,3,18,7,4,30,19,5,4,23,19,4,4,1,18,2,3,3,18,1,4,857,},
{4,689,10,1,18,2,10,1,9,1,18,1,10,1,18,1,3,1,16,22,3,8,9,1,10,1,18,3,10,10,18,1,10,2,8,2,10,1,8,1,18,2,8,1,9,1,18,1,3,3,10,3,9,1,8,1,18,2,15,1,8,2,10,1,8,1,15,1,14,1,18,1,10,3,8,8,10,32,8,3,10,1,8,2,18,4,8,3,10,2,18,1,10,30,8,3,10,5,8,7,10,17,8,1,10,21,8,1,18,1,14,2,18,1,10,3,14,2,18,1,8,4,18,1,15,1,14,1,3,2,14,1,3,2,16,1,3,2,8,1,10,11,18,1,3,4,14,1,15,1,8,1,10,2,8,2,9,1,8,1,18,4,15,2,14,3,15,1,10,2,8,1,14,3,3,1,14,1,15,1,9,1,10,1,15,1,14,1,16,2,14,1,8,1,10,2,8,4,10,5,8,5,10,15,8,2,10,109,8,4,10,16,18,2,10,75,8,1,10,3,8,2,10,8,8,3,10,2,8,4,10,5,8,6,10,3,9,1,10,1,9,1,8,2,10,2,4,10,10,1,9,1,18,1,9,1,10,9,9,2,10,32,8,7,18,1,8,4,18,1,8,2,18,2,8,5,18,2,8,47,10,2,8,3,10,1,9,1,8,8,10,9,9,1,8,7,10,2,8,3,10,3,8,10,9,2,8,4,9,2,8,2,18,1,8,1,10,3,8,2,15,3,8,7,15,7,8,1,9,1,8,3,10,3,8,3,18,3,8,3,18,1,15,3,8,9,18,4,9,6,10,3,8,1,18,4,9,6,10,8,18,4,9,2,18,4,9,1,10,7,8,3,10,2,8,7,18,18,8,7,18,9,8,1,18,17,9,2,18,8,9,2,18,20,8,7,18,13,8,1,9,2,8,2,18,3,8,1,18,11,8,6,18,4,4,2,19,3,4,11,18,1,3,2,16,1,17,1,14,10,17,1,16,6,17,2,14,4,15,2,18,5,15,3,18,3,15,3,14,1,15,4,14,5,18,3,14,2,3,3,4,86,19,5,4,4,18,3,4,1,18,2,3,2,18,14,9,2,10,1,4,70,19,6,4,2,18,4,10,2,18,2,8,1,18,3,4,8,18,10,8,5,18,1,15,4,14,3,15,1,8,2,15,1,14,7,15,10,14,3,3,1,14,2,3,9,18,5,10,2,4,11,19,2,4,14,19,5,4,22,19,4,4,1,18,2,3,1,16,1,3,2,4,4,19,1,4,1,19,4,4,847,},
{4,688,18,4,10,1,9,1,18,1,10,1,18,1,3,1,16,3,3,1,16,15,3,3,16,2,3,2,16,2,3,5,18,1,9,1,10,5,18,1,10,7,8,2,10,1,8,1,14,1,18,1,10,1,9,1,3,3,18,1,10,3,9,1,8,1,18,1,14,2,18,1,8,1,9,1,8,1,15,2,8,3,18,4,8,5,10,33,8,6,18,2,8,4,10,2,18,1,10,29,8,4,10,5,8,6,10,40,8,1,14,1,3,1,14,1,18,1,10,3,18,1,14,1,8,1,10,1,8,4,15,1,14,1,3,2,14,1,3,1,16,3,3,1,9,1,10,3,9,1,18,1,9,1,10,4,9,1,18,1,3,4,14,2,18,1,10,2,8,1,18,3,15,1,18,1,8,2,15,1,14,4,15,1,9,2,8,1,14,2,3,2,14,1,15,1,9,2,15,1,3,1,16,1,3,1,14,1,18,1,8,6,9,1,8,1,10,4,8,3,10,12,8,1,10,3,8,1,10,99,8,2,10,10,8,1,10,86,8,2,10,7,8,1,10,12,8,10,10,6,8,5,10,5,9,1,8,2,10,2,4,10,10,2,9,1,10,6,9,1,10,2,9,2,10,33,8,12,18,1,8,3,18,2,8,3,18,3,8,47,9,2,8,3,10,2,8,8,10,8,8,14,9,1,10,2,9,1,8,7,18,1,8,1,9,1,10,1,9,1,8,3,9,2,8,1,18,2,8,1,10,3,9,1,8,1,15,4,8,7,15,5,18,1,8,6,10,1,9,1,8,3,18,2,8,4,18,2,15,1,8,8,9,4,18,2,9,9,8,2,18,4,9,1,10,2,9,2,10,3,9,1,10,4,18,1,3,1,18,1,9,5,18,4,10,12,8,7,18,19,8,5,18,27,9,2,18,8,8,1,9,1,8,1,18,1,8,1,18,5,14,1,18,31,8,1,9,2,8,2,18,3,8,1,18,9,8,9,18,3,4,2,19,4,4,11,3,3,16,1,17,1,14,10,17,1,16,6,17,2,14,3,15,2,18,5,15,3,18,3,15,9,14,4,15,1,18,2,15,1,14,1,3,2,18,3,4,84,19,6,4,10,18,2,4,1,18,1,3,2,18,1,4,3,18,8,4,70,19,5,4,3,18,4,8,2,18,5,4,9,18,5,8,1,18,4,8,1,9,2,8,2,18,2,15,1,18,1,15,4,8,3,15,1,14,9,15,4,14,14,3,4,14,5,18,3,4,10,19,7,4,10,19,5,4,22,19,4,4,2,18,1,3,2,16,1,3,1,18,1,4,2,19,8,4,846,},
{4,687,18,3,10,1,8,3,9,1,10,1,18,1,3,1,16,18,3,7,16,8,3,1,18,1,10,7,14,1,3,1,14,1,18,2,8,3,10,1,8,1,18,4,3,2,18,3,10,4,18,1,14,3,18,1,8,5,18,1,14,1,3,1,15,1,18,4,8,1,10,36,8,2,10,3,8,4,10,4,18,1,10,27,8,7,10,5,8,5,10,33,8,2,18,3,8,2,18,1,3,3,14,1,8,1,10,2,18,2,10,2,18,1,15,1,8,3,15,1,14,2,15,1,3,1,16,3,3,1,14,1,10,2,9,1,18,2,9,1,10,4,8,1,18,1,3,3,14,1,18,1,14,1,18,1,8,1,9,1,18,1,14,1,15,2,18,1,8,1,10,1,9,1,14,1,3,1,16,1,3,1,15,1,8,1,9,1,8,1,15,1,14,2,3,2,14,1,15,1,8,1,9,1,8,1,14,1,3,1,14,2,15,1,8,9,10,19,8,4,10,20,8,2,10,38,9,3,10,36,8,3,10,96,8,3,10,19,8,6,10,9,8,2,10,1,8,3,10,5,8,3,10,2,4,10,10,9,9,1,10,2,9,1,10,29,8,11,9,1,8,9,18,1,8,5,18,1,8,12,18,3,8,38,9,1,8,10,10,5,8,16,9,1,10,3,8,9,10,3,9,1,8,2,9,2,8,1,18,1,8,2,9,1,10,1,9,2,8,2,15,3,8,37,15,1,8,3,9,1,10,2,9,2,18,1,9,2,10,3,9,1,8,6,18,2,8,1,9,1,10,1,9,1,8,1,9,1,10,2,9,3,10,3,18,3,9,1,18,1,9,3,18,4,9,1,10,11,8,7,18,19,8,5,18,3,8,3,18,17,8,1,18,3,8,1,9,1,8,1,18,1,8,2,18,4,8,2,18,18,8,2,18,19,8,2,9,2,8,2,18,3,8,1,18,10,8,8,18,3,4,2,19,4,4,11,18,2,3,2,17,1,14,11,16,6,17,2,14,3,15,3,18,4,15,15,14,4,18,4,15,1,18,6,4,3,18,2,3,3,18,1,4,4,19,3,4,1,19,2,4,64,19,10,4,1,18,1,4,2,19,2,4,3,3,3,4,5,18,7,4,70,19,5,4,7,18,1,10,2,18,2,3,1,18,1,4,9,18,3,9,3,18,4,9,3,8,1,18,4,15,3,18,1,8,2,18,2,15,2,14,10,15,1,14,12,15,1,18,2,14,1,3,3,14,7,18,1,4,10,19,8,4,9,19,5,4,22,19,5,4,2,18,1,3,3,18,1,4,2,19,8,4,846,},
{4,687,18,1,3,1,18,1,10,1,8,2,10,2,18,1,3,5,16,15,3,1,18,4,3,2,16,8,3,1,8,1,10,6,8,1,3,2,14,1,18,2,8,5,18,1,3,1,14,1,3,3,18,1,9,1,18,2,10,3,8,1,14,2,18,1,8,3,10,2,8,1,18,1,3,2,14,1,18,3,8,2,10,36,8,2,10,4,8,2,10,5,18,1,10,27,8,7,10,4,8,5,10,3,8,2,10,18,18,2,10,9,8,2,18,1,14,1,18,4,3,1,16,2,3,1,18,1,8,1,10,1,8,2,10,2,18,2,8,3,15,1,3,2,14,1,3,1,16,4,3,1,18,2,8,1,18,1,8,1,10,5,8,1,18,1,14,4,18,1,14,2,8,2,18,1,14,4,18,1,10,1,9,1,14,1,3,1,16,1,3,1,14,1,8,2,15,2,14,5,15,1,8,2,15,1,14,4,15,1,18,1,8,6,18,1,8,1,10,19,8,4,10,20,8,2,10,38,9,3,10,38,9,2,10,95,8,3,10,18,8,6,9,1,10,8,8,3,10,2,8,2,10,5,8,3,9,1,10,2,4,9,10,7,9,3,10,32,8,5,10,2,8,3,10,6,8,24,18,2,8,5,10,2,8,43,10,4,8,18,10,2,9,1,8,9,10,3,9,1,8,2,10,2,8,1,18,1,8,1,9,4,8,4,15,3,8,16,15,2,8,10,15,1,8,7,15,1,8,4,10,3,9,1,18,1,9,2,10,3,9,1,8,8,9,3,8,1,18,1,9,1,10,2,9,1,18,2,9,1,10,2,18,2,9,2,18,2,9,3,18,3,9,1,10,1,9,2,10,7,8,2,18,26,8,3,18,3,8,5,18,8,8,4,18,8,9,6,8,1,18,22,8,2,18,21,8,1,9,2,8,3,18,2,8,1,18,10,8,7,9,1,18,2,4,2,19,5,4,12,18,2,14,1,17,1,14,2,17,2,14,3,15,1,14,3,17,2,16,4,17,1,14,4,15,5,18,1,15,12,18,2,15,2,14,3,15,1,18,9,3,1,18,5,3,5,18,1,4,3,19,6,4,65,19,9,4,4,19,4,4,1,19,1,3,1,18,1,4,82,19,5,4,8,10,2,18,4,4,9,18,2,9,1,10,3,18,4,9,3,8,1,18,4,15,2,18,2,8,2,15,2,18,1,15,2,14,9,15,1,14,10,15,1,14,1,15,1,8,2,15,1,14,2,3,1,14,4,3,4,18,3,4,7,19,8,4,9,19,5,4,23,19,5,4,2,18,1,3,2,18,1,4,2,19,7,4,847,},
{4,687,18,1,3,1,18,1,10,1,8,2,10,1,18,1,3,7,16,4,3,1,16,9,3,1,18,4,3,2,16,7,3,1,18,1,10,7,8,1,14,2,8,1,10,2,8,2,18,3,14,1,3,3,14,1,18,1,9,2,18,2,8,1,10,3,14,2,8,1,10,2,8,4,18,1,14,3,18,2,8,1,10,4,8,1,10,74,8,6,10,4,8,5,10,4,8,1,18,1,8,1,10,29,8,1,18,6,3,1,16,2,3,1,18,1,8,1,10,1,8,8,18,1,14,1,16,2,3,2,16,4,18,1,9,1,18,1,8,1,10,8,8,1,18,4,14,3,18,1,8,2,18,1,14,4,8,2,14,1,3,2,14,6,15,5,8,3,15,1,14,1,3,1,14,3,15,1,18,1,8,5,18,1,8,1,10,2,8,1,10,8,8,1,10,7,8,3,10,62,9,2,10,38,9,2,18,1,4,4,10,2,4,4,10,73,8,1,10,31,8,6,9,1,10,8,8,3,10,2,9,1,8,1,10,5,9,1,8,2,10,5,4,7,10,6,18,2,9,1,10,33,8,1,18,1,8,2,10,5,8,1,10,7,8,1,10,2,8,16,9,1,8,4,18,1,8,5,10,1,8,45,9,1,8,32,9,2,10,1,9,1,8,2,10,2,9,1,8,1,9,3,8,3,9,1,8,3,15,2,8,8,10,1,9,1,8,6,15,3,8,3,15,2,8,3,18,1,15,1,8,13,10,2,9,1,18,1,9,2,10,3,9,1,8,8,9,2,18,3,9,1,10,2,9,1,18,3,9,1,10,1,9,4,18,3,9,1,10,1,9,1,18,2,9,2,18,2,9,1,10,1,8,6,18,27,8,2,18,4,8,2,9,2,8,1,18,8,8,5,18,7,9,7,8,1,18,21,8,2,18,20,8,3,9,2,8,5,9,1,18,9,8,8,18,2,4,2,19,5,4,13,18,1,14,4,17,1,16,1,17,1,14,2,15,2,14,2,17,3,16,2,17,1,14,6,15,17,18,2,15,6,18,9,3,2,18,4,3,5,18,1,4,5,19,4,4,70,19,14,4,2,19,8,4,74,19,5,4,18,18,1,4,4,18,3,10,3,18,4,9,2,8,2,18,4,14,1,15,1,18,1,8,2,18,1,15,3,18,1,15,2,14,3,15,1,14,4,15,2,14,5,15,1,14,1,15,3,14,1,15,1,8,2,18,1,15,1,14,2,3,1,14,3,3,6,18,3,4,6,19,12,4,33,19,5,4,2,18,3,4,4,19,3,4,3,18,2,4,844,},
{4,688,18,2,10,1,8,2,10,1,18,1,3,7,16,4,3,2,16,5,3,4,18,3,3,2,16,8,3,1,10,7,8,1,18,1,14,1,18,1,10,3,8,2,18,3,14,1,3,4,18,2,9,4,10,3,15,1,14,1,10,3,8,1,18,1,8,5,18,2,8,1,10,75,8,2,10,3,8,3,10,6,8,6,10,4,8,1,18,1,8,1,10,30,8,3,18,1,14,2,3,4,18,1,10,3,8,3,10,1,8,1,18,1,15,1,18,1,14,1,16,2,3,4,16,2,14,1,9,2,10,9,9,3,8,1,18,1,14,1,15,1,18,2,8,1,9,2,18,1,14,1,3,2,15,2,14,8,15,6,8,3,15,1,14,1,3,1,14,3,15,1,18,1,8,5,18,1,8,1,10,2,8,1,10,16,8,2,10,63,9,1,10,41,4,12,10,104,8,9,10,5,8,4,10,3,9,1,10,7,9,1,10,6,4,6,10,5,8,1,18,2,9,1,10,33,8,3,10,5,9,1,8,3,9,2,10,7,8,1,10,1,8,5,10,2,8,5,9,2,8,7,9,1,10,1,8,53,9,2,8,23,9,1,8,7,9,1,10,2,9,5,8,2,9,1,10,1,8,2,15,3,8,6,10,3,8,2,15,2,8,3,15,1,8,4,15,3,8,2,15,2,8,9,10,1,8,3,9,1,10,1,9,3,10,4,9,1,8,8,9,1,8,1,18,1,15,1,18,1,9,2,10,2,9,1,18,3,10,1,9,1,10,2,9,1,18,3,10,2,9,1,18,2,9,1,10,1,9,2,8,8,18,26,8,3,18,4,8,3,9,1,8,2,18,7,8,7,18,3,8,1,9,7,8,6,18,11,8,1,18,6,8,2,18,7,8,3,18,11,8,6,9,4,18,7,8,6,18,4,4,2,19,6,4,13,18,1,14,4,17,1,16,1,17,1,14,2,15,1,14,3,17,1,14,2,17,2,14,7,15,17,18,3,15,4,18,16,3,5,18,5,4,1,19,4,4,70,19,24,4,75,19,4,4,10,19,3,4,4,18,3,4,3,18,3,10,3,18,1,14,2,18,1,8,1,9,1,8,2,18,4,15,2,18,1,8,2,18,1,15,1,14,1,15,1,18,2,15,1,14,2,15,3,14,3,15,2,14,5,15,5,14,2,15,1,18,3,15,1,14,1,3,3,14,3,3,5,18,3,4,8,19,10,4,32,19,6,4,13,18,1,3,2,18,1,4,843,},
{4,690,10,1,8,3,10,1,18,1,3,5,16,5,3,1,16,6,3,3,18,3,3,2,16,9,3,1,10,7,18,1,14,2,8,1,10,4,8,2,10,1,8,1,18,1,3,1,14,1,3,1,16,1,3,2,18,1,9,1,10,4,8,1,18,1,8,1,10,2,8,1,15,1,18,1,8,2,10,45,8,1,10,35,8,2,10,3,8,3,10,5,8,2,18,1,8,5,10,3,8,4,10,31,8,1,14,1,3,2,14,1,18,3,8,1,10,2,8,1,18,3,8,1,18,1,14,1,15,1,8,2,3,1,16,1,3,1,14,1,18,1,3,1,16,2,3,1,8,1,10,11,8,2,18,1,14,2,18,2,15,1,18,1,10,2,8,1,14,1,3,2,14,4,15,1,18,1,15,4,8,1,15,1,14,4,8,1,9,2,8,1,14,1,3,1,14,3,15,2,18,1,8,3,18,1,8,2,10,18,8,2,10,64,9,1,10,41,4,12,10,63,8,1,10,40,8,2,10,3,8,11,10,5,9,1,10,15,18,3,10,7,9,1,18,2,10,42,8,11,10,4,8,5,10,2,8,15,10,1,8,53,9,1,10,1,9,1,8,9,18,1,8,5,18,3,8,4,9,1,8,1,18,2,8,5,10,4,9,1,10,2,9,1,8,1,9,1,8,2,15,4,8,7,10,1,8,2,15,3,8,6,10,1,8,1,15,1,14,1,15,6,8,7,10,3,8,3,9,4,10,4,9,2,8,3,10,1,8,3,9,1,8,1,18,1,15,1,8,1,9,1,10,3,9,1,18,2,9,1,10,5,18,2,9,1,10,2,18,3,10,4,9,1,8,2,18,3,8,1,18,4,8,2,18,29,8,6,18,6,8,7,18,2,8,1,9,1,10,2,9,2,8,1,18,4,8,1,9,4,8,1,18,9,8,1,18,15,8,2,18,14,8,4,9,4,18,8,8,4,18,4,4,3,19,6,4,13,18,1,14,18,7,2,14,2,3,1,14,2,15,17,18,5,15,2,18,5,15,1,18,12,3,1,18,4,3,2,18,2,4,74,19,24,4,81,18,1,4,8,19,6,4,1,3,2,18,2,10,1,18,3,10,3,18,1,14,2,18,1,8,1,9,1,8,2,18,2,8,1,18,1,15,3,18,2,15,1,14,2,18,3,15,1,14,2,15,1,18,1,15,1,14,2,15,1,8,2,15,1,14,4,15,5,14,3,15,4,14,2,3,2,14,5,3,3,14,2,18,4,4,9,19,6,4,32,19,7,4,12,18,1,3,2,18,1,4,2,19,3,4,838,},
{4,690,10,1,8,5,3,2,16,15,3,2,18,1,10,1,18,1,3,2,16,10,18,1,10,3,8,2,10,1,8,1,18,1,14,1,18,1,8,1,10,4,8,2,10,1,8,1,3,4,16,1,3,1,18,1,9,1,10,6,8,2,10,1,8,1,14,2,18,1,8,2,10,45,8,2,10,34,8,2,10,4,8,1,10,4,8,10,10,4,8,4,10,30,18,1,3,3,14,1,8,1,10,1,8,2,10,3,8,1,18,3,15,1,14,1,18,1,10,2,3,1,16,1,3,1,14,1,8,1,14,1,16,2,3,1,18,1,10,10,9,1,18,2,14,1,3,1,14,1,8,2,14,1,15,1,10,3,18,1,14,5,15,4,18,1,8,4,14,3,15,1,8,1,9,1,10,1,8,1,14,4,15,1,18,1,15,2,8,2,18,2,8,1,10,19,8,2,10,33,8,2,10,46,8,1,10,23,4,13,10,62,8,3,10,44,8,8,10,24,9,1,18,2,9,4,10,3,9,1,8,2,10,42,8,12,10,3,8,4,10,1,8,73,9,1,8,8,18,1,15,1,8,5,18,3,8,6,18,2,8,5,9,1,10,3,9,1,10,2,9,1,8,4,15,4,8,9,15,2,14,1,15,1,8,1,10,6,8,2,14,3,15,4,8,6,10,4,8,1,18,1,8,3,9,2,10,4,9,2,10,4,8,5,18,2,8,1,9,1,10,3,9,1,18,2,9,1,10,1,9,1,10,8,9,1,18,2,10,4,9,1,8,1,18,7,8,5,18,28,8,6,18,6,8,7,18,2,8,1,10,3,9,2,8,1,18,4,8,1,9,5,18,24,8,3,18,16,8,2,9,5,18,15,4,3,19,5,4,13,18,1,3,1,14,18,7,2,14,4,15,14,18,2,15,3,18,5,15,6,14,1,15,1,18,16,14,1,3,2,18,2,4,92,19,4,4,91,19,6,4,2,18,6,10,3,9,1,15,1,14,2,15,1,18,1,8,2,18,3,8,1,18,1,15,3,18,2,15,1,14,2,18,3,15,1,14,2,15,1,18,1,15,2,14,1,15,1,8,2,15,1,14,1,3,2,14,2,15,4,14,4,15,3,14,1,3,2,14,3,15,1,14,4,3,2,14,4,18,2,4,9,19,5,4,33,19,7,4,10,18,1,3,3,18,1,4,1,19,4,4,838,},
{4,690,9,1,8,2,10,2,18,1,3,1,16,16,3,2,18,1,10,1,18,1,3,3,16,9,18,1,10,3,8,3,18,3,8,1,10,5,8,2,10,1,14,1,16,3,3,2,18,1,10,3,9,1,18,2,10,4,8,1,18,1,14,2,18,1,8,1,18,2,8,1,10,5,8,2,10,35,8,3,10,33,8,5,10,6,8,1,18,1,8,10,10,3,8,4,10,29,8,1,18,1,3,3,18,1,10,2,18,2,10,3,8,3,18,2,15,1,8,1,10,2,3,1,16,2,3,1,8,1,18,1,16,2,3,1,18,1,10,9,8,2,18,1,14,1,3,2,18,1,9,1,8,1,14,2,10,3,8,1,18,1,15,1,14,2,15,1,14,3,15,1,18,2,8,1,9,1,8,1,15,3,8,1,9,3,8,1,14,3,15,1,18,2,15,1,14,1,18,2,15,1,18,1,8,1,10,19,8,1,10,34,8,1,10,70,4,7,19,4,4,3,10,107,8,4,10,9,8,1,10,10,9,1,10,8,9,1,18,1,9,3,10,1,9,4,10,2,9,1,10,42,9,1,8,13,10,2,8,4,10,1,8,81,15,3,18,1,8,16,9,2,8,3,10,2,9,2,10,3,8,2,15,5,18,1,8,10,15,3,8,1,9,1,10,5,8,2,15,1,14,2,15,7,8,3,10,4,8,5,9,2,10,3,9,2,10,5,8,9,10,2,9,1,18,2,9,2,10,1,9,1,10,9,9,2,10,4,9,1,8,1,18,5,8,5,9,1,8,2,18,1,8,3,18,13,8,1,18,5,8,4,18,4,8,2,18,7,8,6,18,2,8,1,10,2,9,4,18,4,9,2,8,1,18,1,8,2,18,24,8,2,18,10,15,4,18,4,8,2,9,4,18,15,4,2,19,3,4,16,18,1,3,1,14,24,15,1,18,1,15,5,18,3,15,4,18,2,15,3,18,5,15,5,14,2,15,1,18,7,14,1,3,1,14,2,18,2,14,3,18,2,3,1,18,2,4,179,19,3,4,4,18,2,4,2,19,5,4,5,18,1,10,3,8,1,15,1,14,2,15,1,18,1,8,1,18,6,15,4,18,1,15,1,14,2,15,1,18,2,15,2,14,1,15,1,18,1,15,4,8,2,14,2,3,1,16,1,3,1,14,2,15,3,14,4,15,2,14,2,3,2,14,9,3,4,14,2,18,1,9,1,10,1,18,6,4,3,19,3,4,38,19,5,4,6,18,1,3,3,18,1,4,2,19,4,4,838,},
{4,690,9,1,8,2,10,2,18,1,3,1,16,17,3,1,18,1,9,1,18,1,3,4,16,4,3,2,16,1,3,1,8,1,10,4,8,2,18,2,8,1,10,4,8,4,10,1,14,1,16,3,3,1,10,3,9,1,18,2,3,1,18,1,10,3,8,2,14,3,18,1,8,1,18,1,15,1,18,1,8,6,10,36,8,1,18,1,8,1,10,33,8,5,10,6,14,2,18,1,8,1,10,6,8,3,10,2,8,4,10,29,8,1,18,1,3,1,14,1,18,1,8,1,10,1,8,1,14,2,8,1,10,2,8,3,18,3,8,1,10,2,3,1,16,2,3,1,10,2,14,1,3,2,18,1,8,1,10,6,8,2,18,3,14,2,18,1,8,1,10,1,8,1,14,2,10,3,8,1,18,1,14,4,15,1,14,1,15,2,18,1,15,1,8,3,15,2,8,2,9,1,8,2,15,4,18,1,8,2,15,1,14,1,15,3,18,1,8,1,10,32,8,1,10,92,4,6,19,6,4,2,10,106,8,4,10,9,8,2,10,9,8,2,9,1,10,7,9,3,10,4,9,3,10,46,8,1,9,1,10,3,9,1,8,7,10,2,8,3,10,2,8,70,15,1,8,9,15,2,18,1,8,16,9,1,10,3,8,3,10,2,8,2,10,3,8,1,18,1,15,5,8,6,15,3,8,3,15,2,8,2,9,1,10,2,9,1,10,1,8,3,15,10,8,2,10,4,8,3,18,2,8,1,9,7,10,4,8,3,18,1,8,2,9,1,8,2,9,2,18,3,9,4,10,14,9,1,8,2,18,6,8,3,9,3,8,7,18,8,8,5,18,2,8,2,9,3,8,2,18,4,8,1,18,7,8,7,18,1,8,1,9,6,8,1,18,2,9,3,8,1,18,3,8,3,18,2,15,1,14,2,18,29,15,4,18,4,8,2,9,3,8,1,18,14,4,2,19,2,4,17,18,1,3,1,14,1,7,2,14,13,17,2,14,5,15,2,8,1,15,5,18,4,15,2,18,3,15,3,18,6,15,3,14,3,15,1,18,6,14,4,18,3,14,3,18,8,4,174,19,6,4,3,18,1,3,2,4,3,19,4,4,1,19,1,4,3,10,2,9,1,18,1,15,1,14,2,18,9,15,20,8,1,15,1,14,2,3,3,14,2,15,3,14,4,15,2,14,2,3,2,14,6,15,1,14,2,3,5,14,2,18,3,3,6,18,1,4,2,19,2,4,38,19,7,4,4,18,2,3,1,18,1,4,2,19,5,4,838,},
{4,691,10,1,8,3,10,1,3,1,16,7,3,2,16,8,3,2,18,2,3,5,16,3,3,3,18,1,10,3,8,6,10,4,8,1,18,3,8,1,10,1,8,1,14,2,10,3,9,1,18,1,3,3,18,1,10,1,8,3,15,1,14,2,18,3,14,2,18,1,8,2,18,1,14,1,18,1,8,1,10,37,8,1,18,1,8,1,10,44,14,1,3,1,18,1,10,7,8,9,10,29,8,1,18,2,8,1,10,3,18,1,3,1,14,1,8,1,10,4,8,1,18,1,15,1,18,1,8,2,18,1,3,1,16,2,3,1,10,3,8,2,18,1,8,2,10,6,8,1,18,1,8,2,18,2,8,1,10,2,8,1,14,1,15,1,10,3,8,1,15,1,3,3,14,1,18,1,8,3,18,2,15,3,14,2,18,1,8,3,15,1,8,7,15,1,14,2,15,1,18,1,8,2,10,64,8,3,10,56,4,4,19,9,4,3,18,1,10,105,8,4,10,9,9,1,8,1,10,9,8,2,9,1,10,7,9,2,10,6,9,2,10,52,8,2,9,1,10,1,8,3,10,2,9,1,8,2,10,2,8,17,10,2,8,12,10,2,8,37,15,2,8,9,15,1,8,17,10,4,8,3,9,2,8,2,9,3,8,1,18,1,15,4,18,1,8,5,18,1,15,3,8,16,15,3,18,1,15,5,8,3,10,2,8,4,18,4,9,7,10,2,9,1,8,5,10,2,8,4,18,2,8,1,9,2,18,1,9,1,10,12,9,1,18,2,8,2,18,7,8,3,9,2,8,8,18,6,8,9,9,1,10,3,9,1,8,1,18,4,8,1,18,8,8,3,9,1,8,2,18,2,8,1,9,1,8,1,9,2,10,1,9,4,10,1,9,1,18,4,8,1,9,2,18,2,15,1,14,2,18,31,15,3,18,2,8,13,18,6,4,3,19,4,4,16,18,1,14,1,15,1,7,2,14,13,17,2,14,1,7,1,15,3,8,3,15,6,8,1,18,2,15,3,18,2,15,3,18,5,15,11,18,2,15,5,18,1,8,1,18,1,15,3,18,1,8,2,18,1,8,1,18,4,4,173,19,6,4,4,18,1,3,1,4,2,19,7,4,3,10,2,18,2,15,3,18,4,15,27,14,3,3,3,14,2,15,2,14,8,3,2,14,4,3,1,14,5,3,4,14,6,3,2,16,2,3,3,18,1,4,41,19,8,4,8,19,5,4,838,},
{4,692,8,3,10,1,3,2,16,5,3,4,16,3,3,6,18,1,3,1,16,2,3,3,16,1,3,5,18,1,10,3,8,2,10,1,8,1,10,6,8,1,18,1,14,2,18,2,8,2,10,4,18,1,3,1,16,1,3,2,10,2,14,1,3,1,14,1,15,3,18,1,14,2,18,2,8,4,18,2,8,1,10,8,8,2,10,28,18,2,8,1,10,42,8,1,3,2,8,1,10,9,8,4,18,2,8,2,10,3,8,2,10,24,8,1,10,4,8,1,14,3,8,1,10,5,8,1,18,3,15,1,14,2,3,1,16,1,3,1,18,1,10,5,9,1,10,8,9,2,8,3,10,3,9,1,18,2,10,3,8,1,15,1,14,1,3,2,14,1,15,1,8,3,18,3,8,1,15,1,14,2,8,4,15,1,8,1,10,2,8,4,15,1,14,2,15,1,8,4,10,87,9,3,10,32,4,4,19,9,4,4,18,1,10,105,8,3,10,9,9,1,8,1,10,10,9,1,10,8,9,1,10,33,9,1,10,27,8,2,9,2,8,3,9,2,8,3,9,1,10,1,8,16,10,4,8,10,10,3,8,30,15,1,8,18,9,1,10,2,9,1,8,13,10,3,9,1,8,8,9,2,8,2,15,3,18,2,8,3,18,1,15,5,8,2,10,1,8,2,18,1,8,7,10,2,8,1,15,1,18,3,15,3,8,11,18,10,9,4,8,6,10,1,8,4,18,1,8,1,9,2,18,2,9,2,10,11,18,2,14,1,18,1,8,1,18,7,8,3,9,2,8,10,18,3,8,2,18,2,8,5,9,1,10,5,9,1,18,4,8,1,18,2,8,1,18,5,8,2,9,3,8,1,18,2,8,1,9,1,8,1,9,1,10,2,9,4,10,1,9,1,18,4,9,3,18,37,15,1,18,3,8,13,18,5,4,4,19,4,4,15,18,1,3,1,14,1,8,2,7,1,14,15,7,1,8,7,15,6,8,2,18,2,15,2,18,12,15,2,18,4,15,10,8,12,18,3,4,173,19,5,4,10,19,7,4,2,18,3,14,1,15,16,14,1,15,10,14,1,15,6,14,4,3,2,14,2,15,3,14,4,15,1,14,2,3,3,14,3,3,2,14,5,3,6,14,3,3,1,16,6,3,2,18,1,3,1,18,1,4,40,19,6,4,6,19,5,4,839,},
{4,692,9,1,8,2,10,1,18,2,3,1,16,4,3,1,18,3,3,2,16,1,3,4,18,3,3,1,16,2,3,2,16,2,3,5,18,1,10,3,8,1,10,6,8,5,18,1,14,1,3,2,18,1,8,2,18,1,3,6,18,1,10,1,8,1,3,1,16,1,14,1,8,2,18,1,14,1,3,1,18,1,8,2,10,6,8,1,10,8,8,1,18,1,10,28,18,3,10,36,8,1,10,5,18,1,3,1,14,1,8,1,10,3,8,2,10,6,8,2,18,2,8,8,10,13,8,3,10,11,8,1,18,1,14,1,18,1,8,1,10,6,8,3,18,1,14,2,8,1,14,1,16,2,3,2,18,1,9,1,10,13,8,4,10,3,8,1,18,1,8,1,10,1,9,1,8,2,18,1,15,1,14,3,15,4,18,1,8,1,10,1,8,1,14,2,8,1,10,2,8,4,10,1,8,4,18,1,14,2,15,1,8,1,10,1,8,3,10,5,8,1,10,46,8,3,10,31,9,1,8,1,9,1,10,5,9,1,8,2,10,23,18,1,4,3,19,10,4,7,10,105,8,3,10,5,9,3,10,15,8,2,10,9,8,2,9,1,10,22,9,5,10,7,9,8,10,10,8,3,10,1,8,2,18,1,8,2,9,1,8,1,18,1,8,14,10,8,8,44,15,5,8,10,9,1,10,7,8,14,10,2,8,9,9,1,10,2,8,1,18,1,15,1,18,3,8,2,18,1,15,5,18,1,8,5,15,1,18,1,8,6,10,2,8,1,15,1,18,4,15,1,8,3,10,2,8,2,15,2,8,3,18,11,9,2,8,1,9,1,10,1,8,5,10,2,8,2,9,1,10,2,9,1,18,3,9,1,10,4,18,2,4,6,18,3,8,1,18,4,8,2,18,2,8,3,9,1,8,10,18,1,8,2,18,4,8,1,9,2,8,1,9,1,10,7,8,1,18,3,8,1,18,2,8,1,18,4,8,3,9,3,8,1,18,1,8,1,9,4,10,2,9,2,8,1,9,3,8,1,18,1,8,1,9,4,8,1,18,6,8,1,18,20,8,6,18,7,8,13,18,5,4,3,19,5,4,15,18,1,3,2,8,2,7,2,14,13,7,1,8,4,15,1,8,3,15,5,18,1,8,2,18,3,15,1,18,18,15,4,14,5,15,3,8,9,18,4,4,190,19,5,4,2,18,1,14,4,15,6,18,3,15,1,8,3,15,1,14,3,15,4,14,1,15,1,18,2,15,1,14,1,15,7,14,1,15,1,14,5,15,3,14,1,3,2,15,3,14,1,3,2,14,8,15,1,18,1,15,1,14,1,3,6,14,3,3,1,16,5,3,6,4,9,19,6,4,24,19,16,4,840,},
{4,692,9,1,8,1,10,2,8,1,10,1,18,1,3,1,16,2,3,1,18,5,3,4,18,5,3,1,16,3,3,3,18,2,3,3,8,1,10,4,8,1,18,4,14,1,3,1,14,1,8,1,10,2,8,1,14,1,3,1,16,1,3,1,18,2,3,6,18,1,9,1,10,1,14,1,16,2,14,1,8,2,15,1,14,2,18,1,10,17,8,2,10,28,18,2,8,1,10,42,8,1,18,1,8,1,10,3,8,3,10,6,8,2,18,2,8,8,10,13,18,2,8,1,10,6,8,4,10,1,8,1,14,2,18,1,10,7,8,1,18,1,8,1,15,1,14,1,15,1,10,1,8,1,3,1,16,3,3,1,18,1,8,1,10,11,8,6,9,1,10,1,9,1,8,2,9,1,10,1,9,1,8,2,18,2,14,2,15,2,14,2,8,1,10,2,8,1,15,2,8,1,10,3,8,1,15,1,8,7,15,1,14,1,18,1,10,2,8,3,10,4,8,4,10,10,8,1,10,31,8,7,10,29,9,3,10,5,9,1,10,25,18,1,4,3,19,11,4,6,10,97,8,1,10,9,8,4,9,1,8,2,9,2,10,15,8,3,10,4,9,5,10,24,9,1,8,1,9,2,10,9,8,2,9,1,8,2,18,1,8,2,10,8,9,1,8,2,9,1,10,1,9,1,8,1,18,1,8,8,18,1,8,11,10,6,8,48,15,2,8,4,9,2,8,4,10,7,8,13,18,1,8,1,10,2,8,4,18,2,8,7,18,1,8,2,18,4,15,5,18,2,8,5,15,1,18,1,8,6,10,1,8,1,18,1,15,1,18,1,8,2,18,2,8,3,10,2,8,1,15,3,8,4,18,3,9,4,18,6,8,2,10,1,8,4,10,2,8,2,10,3,9,2,18,1,9,4,10,1,9,1,18,2,4,6,18,3,8,1,18,3,8,2,18,3,8,6,18,2,8,9,18,4,8,2,9,1,8,2,9,1,10,6,8,1,18,3,8,7,18,2,8,2,9,3,8,1,18,1,8,1,9,4,10,2,9,1,18,3,9,2,8,2,9,1,10,1,9,3,8,1,18,5,8,2,18,20,8,1,18,11,8,13,18,6,4,4,19,4,4,15,3,2,14,1,8,2,7,1,14,12,7,1,8,2,10,2,8,7,15,5,8,2,18,16,15,1,18,3,8,2,18,1,15,3,14,6,15,2,8,10,18,3,4,71,19,6,4,115,19,3,4,2,18,1,3,2,14,2,15,5,8,1,18,2,15,2,8,3,15,2,14,1,15,4,14,1,15,16,14,4,15,1,8,2,15,1,14,3,15,3,14,1,3,2,14,7,18,2,14,3,3,3,16,1,3,1,14,1,15,2,14,1,3,1,16,4,3,2,16,4,3,1,18,1,4,7,19,6,4,24,19,16,4,840,},
{4,692,8,5,10,1,18,1,3,1,16,2,3,1,18,2,3,2,18,3,3,3,18,4,3,1,16,3,3,3,10,2,18,1,3,1,8,1,10,3,18,1,10,1,8,1,3,3,16,2,3,2,8,1,10,2,8,1,14,1,16,3,3,2,16,2,3,4,18,1,9,1,8,1,3,1,16,2,8,1,10,1,15,1,14,2,18,1,10,3,8,5,10,39,8,2,10,49,18,2,8,1,10,6,8,2,18,1,8,7,10,16,8,1,18,1,8,1,10,2,8,2,10,1,18,1,3,2,18,1,8,1,10,1,8,1,14,1,3,1,14,1,8,1,10,5,18,1,14,5,8,1,10,2,18,1,3,1,16,3,3,1,18,1,9,1,8,1,9,1,10,8,8,1,18,1,8,3,18,2,8,1,9,1,10,4,9,1,8,1,18,3,15,2,8,2,14,2,8,1,10,1,8,1,18,1,15,2,8,1,10,3,8,1,15,1,14,1,15,1,18,1,8,1,9,2,8,2,18,1,8,1,10,3,8,3,10,50,8,9,10,21,9,7,10,5,9,1,10,27,4,2,19,15,4,3,10,60,8,2,10,34,8,3,10,8,8,3,10,2,9,6,18,3,9,1,10,10,8,2,10,3,9,1,18,3,8,1,10,25,9,1,18,1,9,1,10,7,9,1,10,2,9,2,10,1,9,1,18,3,8,2,10,4,8,1,10,2,9,1,8,1,10,4,8,1,18,3,8,2,9,2,8,2,18,2,8,56,9,1,8,34,9,1,8,10,18,2,15,1,18,7,8,6,18,4,8,3,18,3,8,1,10,2,9,1,18,2,8,8,18,4,9,2,18,2,15,1,18,1,8,2,18,1,15,1,18,4,9,2,10,7,9,1,18,6,8,5,9,1,10,1,9,1,8,3,9,7,18,2,10,1,9,1,18,2,4,6,18,13,8,5,18,3,8,3,18,2,9,2,8,1,18,2,8,5,18,2,8,1,9,1,10,4,9,1,8,1,18,5,8,2,9,2,8,2,18,2,8,2,9,2,8,1,18,2,8,1,9,5,8,1,18,5,8,1,9,2,10,2,9,1,18,8,8,1,18,11,9,2,18,15,8,8,18,2,8,4,18,8,4,23,18,1,3,2,14,1,8,2,7,1,14,10,15,1,8,2,10,5,8,7,15,6,18,4,8,2,18,1,15,4,18,4,15,1,14,2,15,1,18,1,8,2,18,1,15,1,14,2,15,7,8,7,15,1,8,3,18,3,4,71,19,6,4,119,18,2,3,1,14,6,15,1,8,3,18,1,15,9,8,1,15,1,14,2,15,1,8,1,15,10,8,1,18,1,15,2,14,4,15,1,8,2,15,1,14,4,8,2,14,2,3,1,14,3,3,1,14,4,3,3,14,2,3,2,16,2,14,1,15,3,3,5,16,7,3,2,18,3,3,3,4,2,19,4,4,31,19,9,4,840,},
{4,693,8,4,10,1,18,1,3,1,16,2,3,1,18,2,3,8,18,4,3,5,18,1,10,9,18,1,10,1,18,1,3,1,16,5,3,1,8,1,10,2,8,1,18,1,3,1,16,2,3,3,16,1,3,4,18,3,3,3,8,2,3,2,14,1,8,3,18,1,14,1,18,2,14,1,18,1,8,1,10,38,8,1,10,3,18,1,10,46,18,1,14,1,8,1,10,6,8,1,18,2,8,1,10,2,8,2,10,18,8,1,18,2,10,2,8,1,18,3,3,2,18,1,8,2,18,1,14,1,3,1,14,1,8,1,10,4,8,1,14,2,3,1,14,2,18,1,10,4,18,1,3,4,14,1,18,2,8,1,9,1,10,6,8,6,18,2,8,1,10,6,8,1,18,4,8,1,9,1,8,1,18,1,15,1,8,2,15,1,14,1,15,1,18,1,8,2,9,1,8,1,15,1,14,1,15,2,18,1,8,1,9,1,10,2,8,2,10,4,8,3,10,51,8,8,10,15,9,2,10,3,9,1,8,4,9,2,10,6,9,1,10,27,4,3,19,15,4,2,10,43,8,2,10,50,8,4,10,3,8,1,10,10,9,2,8,1,9,3,18,3,10,14,9,1,8,1,18,3,10,26,9,1,18,1,9,1,10,7,9,1,10,2,9,1,8,1,10,2,18,3,8,2,9,1,10,2,8,3,9,1,10,2,9,1,10,4,9,1,8,3,9,1,10,1,9,1,8,59,10,3,8,4,10,2,8,25,9,1,10,2,8,9,18,2,15,4,18,2,15,1,14,1,15,1,8,14,18,2,8,1,10,3,8,1,18,1,8,3,18,1,8,6,18,2,9,2,18,4,8,2,18,2,8,1,9,1,18,2,9,1,10,9,9,2,18,4,8,3,10,3,8,7,9,3,10,1,9,1,18,2,9,2,18,2,4,6,18,3,8,1,18,6,8,7,18,4,8,3,18,2,9,2,8,1,18,2,8,4,18,5,8,1,9,1,10,2,9,1,8,2,18,1,8,2,18,1,8,2,9,2,8,2,18,3,8,2,9,1,8,1,18,2,8,1,9,4,8,2,18,6,9,5,18,8,9,1,8,1,18,10,9,2,18,15,8,8,18,1,15,1,8,4,18,7,4,24,18,1,3,2,15,1,8,2,14,7,15,5,8,2,10,7,8,5,15,5,8,2,18,3,8,2,18,1,15,4,18,3,15,2,14,3,15,1,18,1,8,1,18,2,14,2,18,1,8,3,15,3,8,7,15,2,8,2,18,5,4,69,19,5,4,5,3,2,4,113,18,4,15,1,14,2,3,2,15,1,8,3,18,1,15,7,8,3,15,3,8,2,15,8,18,1,8,2,18,1,15,2,14,3,15,3,8,1,18,1,15,1,14,3,8,2,15,1,14,1,3,1,14,6,15,1,14,1,3,3,14,2,3,2,16,2,3,1,14,1,15,2,14,5,3,1,16,8,3,2,16,4,3,1,4,1,19,4,4,880,},
{4,693,10,5,18,1,3,1,16,2,3,2,18,1,3,1,16,5,3,2,18,1,9,1,10,2,18,4,10,9,8,2,10,2,18,1,16,4,3,2,18,1,10,3,8,1,18,1,3,1,16,1,3,1,18,2,3,6,18,2,14,1,3,3,15,1,14,1,16,1,3,1,14,1,15,1,14,1,3,4,14,2,18,1,10,90,18,2,8,1,10,6,8,1,18,2,8,1,10,23,8,2,10,2,8,1,18,5,10,1,8,1,18,1,14,4,8,1,10,3,8,1,18,1,14,3,18,1,8,2,10,4,8,1,18,2,14,3,18,1,8,1,10,14,8,3,10,5,9,1,10,1,9,1,8,1,18,1,8,2,9,2,10,1,8,2,15,1,14,2,15,1,8,3,15,2,14,1,15,1,8,5,10,1,8,4,10,3,8,3,10,8,8,1,10,42,8,6,10,13,9,2,8,2,9,2,10,4,9,1,8,3,9,2,10,35,4,2,19,15,4,2,10,43,8,2,10,57,8,1,10,10,8,3,9,2,10,2,9,3,10,12,9,2,8,2,9,1,10,21,9,1,10,6,9,1,10,11,18,2,10,2,8,1,18,1,8,2,18,2,8,5,10,3,8,2,10,8,8,4,10,2,8,55,10,9,8,27,9,4,8,4,18,2,15,1,14,1,15,2,18,1,8,3,18,1,15,1,18,1,9,1,10,3,8,4,9,2,10,1,9,1,8,2,18,3,8,1,10,2,8,1,18,1,8,2,18,1,8,2,9,1,10,2,9,2,18,2,9,7,8,1,18,1,8,1,10,19,9,1,8,3,10,3,8,6,9,4,10,1,9,1,18,2,9,2,18,2,4,6,18,3,8,14,18,4,8,3,15,1,18,1,8,2,18,3,8,4,18,5,8,1,9,1,10,2,9,1,8,5,18,1,8,5,18,4,8,4,18,5,9,4,8,1,18,5,9,4,18,3,9,2,18,3,8,1,9,2,18,12,8,1,9,4,8,1,18,2,8,3,18,8,8,10,18,8,4,24,3,2,14,1,8,2,14,4,3,1,14,1,15,1,8,3,15,3,8,2,10,7,8,1,15,6,8,5,18,5,15,4,18,3,15,2,14,4,15,2,18,2,14,2,18,1,9,2,8,1,15,4,8,5,15,3,8,3,18,3,3,1,18,1,4,68,19,3,4,3,18,4,3,1,19,1,4,114,18,3,15,1,14,1,3,3,14,1,8,4,15,8,8,2,15,2,8,5,15,3,8,1,15,4,18,1,15,3,14,3,15,7,14,2,8,2,15,1,14,7,15,2,18,1,14,1,3,3,14,2,3,2,16,2,3,1,14,7,3,2,16,14,3,2,19,1,4,882,},
{4,692,3,3,18,2,10,2,18,1,3,4,18,1,3,1,16,6,3,2,18,1,10,15,3,2,10,2,18,1,16,3,3,1,18,3,10,3,8,1,14,1,3,3,18,3,3,1,16,2,3,3,18,1,14,2,18,1,14,1,3,1,16,3,3,1,14,1,3,5,14,1,18,1,10,91,18,2,8,1,10,7,18,2,8,1,10,23,8,2,10,2,8,1,18,3,8,1,10,3,18,1,14,1,18,3,8,1,10,3,18,3,8,5,10,6,8,1,18,1,14,2,18,1,8,1,10,3,8,1,10,17,9,1,8,1,10,2,9,1,8,1,9,2,8,1,9,1,10,2,18,1,14,4,18,1,8,2,14,3,15,1,10,2,8,3,10,7,8,4,10,51,8,1,10,16,9,1,8,5,9,1,10,7,9,3,10,37,4,2,19,14,4,2,10,43,8,2,10,47,8,1,10,8,8,1,10,11,8,1,18,1,9,2,10,6,9,1,10,4,9,1,8,2,10,3,9,3,10,9,8,2,10,12,9,2,8,3,9,1,10,2,9,2,10,10,18,2,9,1,10,2,9,1,10,1,9,1,18,2,8,2,18,1,8,1,9,1,10,3,8,1,18,1,8,1,10,7,9,1,8,1,18,1,8,1,10,2,8,55,10,9,8,29,10,3,8,4,18,2,15,1,18,2,8,2,9,1,10,15,9,1,8,4,18,1,8,1,9,2,18,2,8,2,18,2,9,2,10,3,18,5,9,1,10,4,8,1,18,1,9,1,10,20,8,12,9,3,10,2,9,1,18,2,9,3,18,1,4,5,18,4,8,6,18,2,8,6,18,5,8,2,15,1,18,1,8,2,18,2,8,6,18,3,8,2,9,4,8,5,18,2,8,4,18,5,8,3,18,5,8,1,9,4,8,3,18,3,8,2,18,4,9,2,18,3,9,3,8,1,18,11,8,1,9,5,18,2,8,1,9,1,8,1,18,8,8,10,18,7,4,25,3,2,14,1,15,1,7,1,14,1,17,2,14,1,3,1,14,1,8,1,10,2,8,1,15,1,14,3,8,2,10,6,8,1,15,1,14,1,15,3,8,7,18,2,15,1,18,3,15,1,18,4,15,2,14,5,15,1,18,1,15,1,14,3,18,1,8,2,18,1,15,4,8,5,15,3,8,1,9,1,18,2,3,2,18,1,4,68,19,3,4,2,18,1,3,2,18,1,19,1,4,117,18,3,14,1,3,3,14,1,18,1,8,2,15,2,8,4,15,5,8,8,15,6,18,2,15,7,14,1,15,5,14,2,8,2,15,1,14,3,15,2,14,2,15,2,18,2,3,4,14,2,3,2,16,2,3,1,14,2,15,1,14,4,3,3,16,14,3,1,4,882,},
{4,691,19,1,3,4,18,2,10,1,18,2,3,5,16,7,3,2,18,1,10,8,18,4,10,1,18,1,3,2,18,1,10,1,18,1,3,3,18,1,8,1,18,3,8,2,18,1,3,5,18,1,10,1,18,1,16,3,3,2,18,2,14,1,18,1,3,1,16,3,3,3,14,1,18,5,10,92,8,1,18,2,8,1,10,6,8,1,18,2,8,1,10,22,8,2,10,3,8,1,18,2,8,1,10,3,18,1,14,1,18,1,8,3,10,2,8,1,18,1,15,1,8,1,10,2,14,1,3,1,14,1,8,1,10,5,18,1,14,1,3,1,14,1,18,1,10,4,18,2,10,16,8,2,10,2,9,1,8,1,10,1,8,3,10,1,9,1,15,1,14,4,15,1,8,1,18,1,14,3,18,1,9,1,10,1,8,3,10,8,8,2,10,71,9,3,10,49,4,2,19,14,4,2,10,43,8,2,10,46,8,2,10,7,8,2,10,11,9,3,10,11,9,1,18,2,8,1,10,3,9,2,10,9,8,3,10,2,8,2,10,6,9,3,8,3,18,1,8,1,10,2,9,3,10,9,18,2,9,1,10,5,18,5,8,1,10,4,8,1,18,1,8,2,9,1,10,6,8,3,10,2,8,52,9,1,10,1,9,1,10,8,8,30,9,1,10,2,8,10,10,10,8,2,10,6,9,2,10,1,9,1,8,3,18,7,9,4,18,1,4,3,18,2,9,1,10,4,9,1,8,1,9,1,10,20,8,13,9,4,18,3,9,5,10,2,18,6,8,5,18,3,8,5,18,6,8,2,15,2,8,2,18,2,8,28,18,2,8,5,18,5,9,6,8,1,18,8,8,1,9,2,18,3,8,1,9,2,18,8,9,1,18,4,9,1,18,2,8,1,18,12,8,4,18,3,8,5,18,7,4,25,3,2,14,2,7,1,14,1,17,1,16,3,14,1,8,1,10,2,8,1,14,2,17,1,14,2,8,2,10,5,8,1,15,5,8,8,18,1,15,1,18,8,15,2,14,6,15,2,3,3,14,1,15,1,18,3,15,4,8,4,15,1,14,2,15,1,18,1,9,1,18,4,4,68,19,4,4,118,19,3,4,3,18,2,3,4,14,1,18,3,14,1,15,1,18,1,8,1,10,1,8,2,15,2,8,1,15,1,8,8,15,3,18,11,15,1,14,2,15,1,18,2,15,1,14,2,15,1,8,1,15,2,14,2,15,2,14,2,15,1,18,3,14,1,3,3,14,2,3,2,16,2,3,1,14,1,15,5,14,3,3,2,16,14,3,1,4,8,19,4,4,869,},
{4,691,19,1,3,3,18,2,4,1,10,3,18,1,3,3,16,9,3,1,18,1,10,2,18,2,10,2,9,1,18,1,3,3,18,2,3,1,16,2,3,1,18,2,3,3,18,1,8,1,18,1,3,1,18,3,3,4,16,2,3,1,18,2,16,4,3,3,14,1,18,1,3,1,16,2,3,1,14,1,3,1,14,1,18,1,8,1,10,2,8,1,10,45,8,1,10,11,8,2,10,33,8,2,18,3,10,6,8,1,18,2,8,1,10,6,8,2,10,20,8,3,10,3,18,1,14,1,18,1,8,1,10,4,8,2,18,1,8,1,10,1,8,1,3,1,16,1,3,1,14,1,10,5,8,1,18,1,14,1,18,1,8,1,10,3,8,1,18,2,8,1,10,15,18,2,8,1,9,3,10,1,8,2,18,1,8,2,15,1,14,1,15,2,14,1,15,1,18,1,15,1,14,2,15,1,8,4,10,135,4,3,19,12,4,3,10,113,9,2,10,12,8,1,18,2,8,1,10,3,8,1,9,1,10,7,8,5,10,2,8,2,10,5,9,1,8,2,9,2,10,1,9,3,10,2,9,3,10,9,9,2,10,6,9,1,8,4,9,1,10,3,8,3,18,3,8,1,10,6,8,1,18,1,8,51,10,6,9,1,8,2,10,2,9,1,8,33,10,1,9,1,8,4,9,1,10,4,9,1,10,10,8,2,10,12,9,1,18,4,9,2,18,5,4,6,10,5,9,1,8,1,9,1,10,2,9,1,8,1,9,6,10,9,9,1,8,10,18,1,8,2,9,14,18,6,8,5,18,3,8,5,18,2,8,1,18,3,8,2,18,5,8,1,9,1,10,1,9,2,10,2,9,1,8,24,18,2,8,3,18,4,9,6,8,1,18,8,9,3,18,4,9,2,18,7,9,2,18,1,3,2,18,16,8,5,18,3,8,2,15,2,8,1,18,6,4,26,3,2,14,4,17,1,16,3,14,1,9,1,10,2,15,1,14,1,16,3,14,1,7,1,8,2,10,4,8,2,7,1,15,3,8,2,15,3,8,3,18,10,15,2,14,6,15,1,14,1,3,1,16,2,3,1,14,1,15,2,18,2,15,4,8,4,15,1,14,1,15,1,18,8,4,66,19,5,4,3,19,1,4,113,19,5,4,2,18,1,3,4,18,2,15,1,14,3,8,1,10,3,8,1,15,2,8,1,18,1,8,1,10,1,8,2,15,1,8,3,15,3,18,8,8,2,18,1,15,1,14,2,15,1,18,3,15,1,14,1,15,5,14,2,15,4,18,3,14,1,3,2,14,4,3,4,14,1,15,5,14,6,3,1,16,12,3,1,18,1,4,6,19,6,4,868,},
{4,692,3,2,18,1,4,2,18,1,9,1,10,2,3,2,16,10,3,2,18,5,10,2,18,1,3,5,18,1,3,1,16,2,3,7,18,1,3,9,16,3,3,2,16,4,3,6,16,1,3,1,18,1,8,2,18,2,8,1,10,17,18,2,10,29,8,1,10,11,8,2,10,28,8,2,10,4,8,2,18,2,8,1,10,5,8,4,10,5,8,3,10,21,8,3,10,2,18,1,14,1,18,1,8,1,10,5,8,3,10,1,18,1,3,1,16,2,14,1,8,1,10,6,8,1,10,5,8,1,14,2,18,1,10,14,8,1,18,4,9,1,10,1,8,3,18,2,15,3,18,2,15,1,14,1,15,1,14,2,15,1,18,1,8,1,18,1,8,2,10,136,4,3,19,10,4,3,10,34,8,2,10,61,9,1,10,10,8,1,10,19,9,1,18,1,8,1,10,3,8,1,18,1,9,1,10,6,8,5,10,2,8,3,10,5,9,1,8,1,9,1,10,8,9,3,10,6,9,1,10,4,9,2,10,7,9,3,10,1,9,1,8,2,10,1,8,1,18,4,9,1,10,5,8,1,18,2,8,34,15,1,8,14,9,1,10,6,8,45,9,1,10,3,8,3,10,9,8,1,9,1,10,13,4,5,10,1,18,4,4,9,10,2,9,1,8,2,9,1,10,2,18,11,9,5,18,2,15,2,8,6,18,4,8,2,9,2,10,5,9,3,18,1,9,1,18,1,9,1,8,1,18,3,8,13,18,3,8,1,18,4,8,3,18,1,8,3,10,8,9,1,8,22,18,2,8,3,18,4,8,1,9,5,8,1,18,8,9,3,18,4,8,1,9,1,8,1,18,6,9,1,18,2,3,2,14,1,18,14,8,6,18,3,8,5,18,4,4,28,3,2,14,6,17,1,3,1,14,1,8,1,10,1,9,1,15,1,17,1,16,3,14,1,7,1,8,3,10,3,8,2,15,1,14,1,15,2,8,2,15,3,8,3,18,10,15,3,14,5,15,1,3,1,16,4,3,1,14,1,15,10,8,3,18,8,3,1,18,1,4,16,19,3,4,46,19,10,4,112,19,6,4,1,18,1,3,2,18,4,14,1,3,2,14,1,8,1,10,3,8,1,15,1,18,1,8,3,10,1,8,2,15,1,8,4,15,4,18,5,8,1,9,2,18,1,15,1,14,2,18,4,15,7,14,3,15,5,14,9,3,3,14,2,15,3,14,6,15,1,14,1,3,4,16,7,3,2,18,1,4,6,19,8,4,866,},
{4,693,18,1,4,4,9,1,10,2,3,1,16,11,3,10,16,3,3,2,18,1,3,1,16,3,3,3,16,2,3,5,18,1,3,5,16,3,3,3,16,5,3,6,18,1,10,2,8,1,14,1,18,1,10,9,8,1,10,7,18,2,10,6,8,1,10,22,8,1,10,11,8,2,10,28,8,2,10,5,8,1,18,3,10,4,8,3,10,18,18,1,10,13,8,2,10,2,18,1,14,2,18,1,10,8,8,1,15,1,3,3,14,1,18,1,8,1,10,8,8,3,18,1,14,2,18,1,10,13,8,1,18,3,14,1,18,1,10,3,8,3,18,1,15,2,18,1,8,2,15,1,14,4,15,1,8,2,18,1,8,2,10,109,8,1,10,27,4,3,19,9,4,2,10,34,8,3,10,61,9,2,10,9,8,3,10,18,9,1,10,4,18,2,9,1,10,5,8,1,18,2,9,1,10,3,8,3,10,7,9,1,10,23,9,1,8,1,9,1,10,8,9,1,8,4,10,2,18,4,8,1,10,5,8,1,18,3,8,1,10,1,8,31,15,1,8,15,10,5,8,54,10,9,8,1,9,1,10,11,4,6,10,1,18,3,4,10,18,3,8,3,10,1,8,1,15,1,14,1,18,3,14,1,18,7,9,3,18,2,15,2,8,6,18,3,8,3,9,1,10,6,9,2,8,3,18,1,9,3,18,2,9,2,8,2,18,1,8,6,18,3,8,4,18,3,8,3,18,1,8,2,9,1,10,8,9,1,8,7,9,1,8,14,18,1,8,4,18,4,8,1,9,5,8,1,18,8,9,2,8,1,18,5,9,3,8,1,18,6,14,1,3,3,18,3,14,1,18,12,8,4,18,3,15,1,8,4,18,3,4,29,3,2,14,2,7,3,14,3,15,1,8,1,9,1,8,1,14,1,16,4,14,1,7,1,8,4,10,2,8,1,15,1,14,2,15,1,8,3,15,3,8,3,18,1,15,1,18,8,15,5,14,4,3,1,16,3,3,2,14,1,15,10,8,1,10,2,8,1,18,4,9,1,18,4,4,4,19,3,4,8,19,6,4,44,19,10,4,112,19,6,4,2,18,2,4,1,18,3,3,3,18,1,8,1,10,3,8,1,15,2,18,1,8,4,18,1,15,2,8,4,18,8,8,1,9,2,18,2,14,2,18,1,8,1,18,2,15,4,18,1,8,1,15,2,14,2,15,2,8,1,15,1,14,2,15,1,18,2,15,2,14,1,15,1,14,12,3,1,14,2,18,2,14,5,3,1,16,5,3,2,18,2,4,5,19,10,4,864,},
{4,698,10,3,3,1,16,12,3,7,16,6,3,1,18,1,3,1,16,8,3,1,18,10,3,1,16,2,3,4,16,7,3,3,14,1,18,1,8,2,18,1,14,1,18,1,8,1,18,1,8,1,10,3,18,1,3,1,18,1,10,6,18,3,10,4,8,3,10,22,8,1,10,11,8,2,10,28,8,2,10,6,8,1,18,2,8,1,10,3,8,2,10,19,18,1,10,17,18,1,14,2,18,1,10,9,8,1,14,2,18,4,8,1,10,4,8,1,18,3,8,2,18,4,8,1,10,12,8,1,18,3,14,1,18,1,10,5,8,2,18,6,15,1,14,3,15,1,18,1,8,2,9,1,10,2,8,2,10,87,9,1,10,10,9,3,10,2,9,1,10,1,8,2,10,27,4,14,10,34,8,3,10,51,8,1,9,1,10,8,8,1,9,1,10,10,8,2,9,1,10,22,8,1,18,1,9,1,10,5,8,3,10,4,8,3,10,15,4,6,10,10,9,1,18,1,9,3,10,4,9,2,8,2,18,2,8,1,9,1,10,1,8,1,18,3,8,1,10,5,8,4,10,3,8,47,10,3,9,1,8,32,10,7,8,17,10,3,8,1,10,3,8,4,10,9,4,8,18,2,4,10,18,1,15,2,18,2,8,3,15,2,8,2,18,6,8,2,9,3,8,2,18,1,8,12,9,3,10,6,9,2,8,5,9,2,8,2,9,1,10,1,9,1,8,1,18,1,8,1,9,4,8,1,18,2,8,4,18,4,8,3,18,1,8,2,10,5,9,1,8,10,9,3,8,18,18,5,8,5,18,4,8,1,18,4,8,2,18,5,8,1,9,4,18,6,3,4,18,3,14,2,18,1,9,5,8,1,18,2,15,2,18,3,8,3,18,1,15,1,8,5,18,3,4,1,19,4,4,23,18,1,3,2,14,1,7,1,8,2,15,3,8,3,15,1,14,1,16,4,14,1,8,5,10,1,8,1,15,1,14,4,8,4,15,1,18,1,8,3,15,2,18,8,8,1,15,4,14,4,3,1,16,3,3,1,14,1,15,7,8,4,10,3,8,1,18,3,9,2,10,1,9,1,18,2,4,1,19,6,4,9,19,5,4,48,19,6,4,113,19,6,4,6,18,1,3,3,18,1,9,1,10,1,9,2,18,5,8,3,18,1,15,1,18,2,8,1,10,2,8,1,18,8,9,2,18,2,14,1,18,1,8,1,9,1,18,6,8,2,18,1,15,1,14,2,15,1,8,2,18,1,14,2,15,1,18,2,15,1,14,2,15,2,14,2,3,2,14,7,3,2,14,1,18,1,15,1,3,2,14,1,15,1,18,1,14,1,3,1,16,4,3,2,18,5,4,4,19,8,4,864,},
{4,699,10,2,18,1,3,1,16,12,3,5,16,6,3,2,18,1,3,1,16,7,3,1,18,1,10,1,18,1,3,1,18,6,10,1,18,1,16,2,3,1,18,1,9,1,18,1,3,1,16,6,3,2,14,2,18,1,8,2,14,2,18,3,8,1,10,3,18,1,3,1,18,1,10,7,18,1,10,6,8,2,10,34,8,2,10,28,8,2,10,7,8,1,18,1,8,1,10,2,8,1,18,1,8,1,10,36,8,1,14,3,8,1,10,9,8,1,18,4,14,2,8,1,10,4,8,1,18,3,8,2,18,4,8,1,10,12,8,1,18,4,8,1,10,6,9,1,8,2,18,3,8,1,18,1,14,3,15,2,8,1,10,3,8,5,10,85,9,1,10,10,9,2,10,5,9,1,8,1,10,27,4,14,10,88,8,2,10,21,9,1,10,24,8,1,9,1,10,5,8,1,9,1,10,5,9,1,8,2,10,15,4,6,10,11,9,2,8,1,18,1,9,2,10,2,9,1,8,2,18,2,8,2,9,4,8,3,9,1,10,2,9,1,8,4,9,1,10,5,8,2,10,1,8,1,10,3,8,39,9,1,8,33,10,8,8,29,9,1,10,7,4,20,18,1,14,1,15,1,18,1,8,4,15,2,8,2,18,5,8,2,9,1,10,3,8,15,9,1,10,8,9,1,8,6,9,2,8,2,10,2,9,1,18,2,8,1,9,4,8,1,18,3,8,3,18,4,8,3,18,1,8,2,9,1,10,4,8,11,9,5,8,16,18,12,8,1,9,2,8,1,18,3,8,1,18,5,8,2,9,4,18,5,3,5,18,3,3,2,18,1,9,5,8,1,18,2,15,3,18,2,8,3,18,1,15,1,8,2,9,1,8,2,18,3,4,1,19,4,4,24,18,1,3,1,14,1,8,8,18,1,14,1,3,1,16,3,17,1,15,1,8,6,15,2,14,4,15,1,8,3,15,2,8,3,18,1,15,1,18,6,8,3,15,4,14,5,3,2,14,2,15,6,18,1,8,6,10,2,8,1,18,2,8,1,10,2,9,1,8,1,18,2,4,1,19,6,4,9,19,5,4,49,19,4,4,117,19,5,4,5,18,4,4,1,18,5,14,1,18,6,15,1,14,1,18,1,8,1,10,2,8,1,18,8,8,1,9,1,18,4,9,1,10,1,18,5,8,3,18,1,15,1,14,1,15,1,18,1,8,2,18,1,15,1,14,1,15,1,18,1,15,2,14,2,18,2,15,1,14,2,3,2,14,9,15,1,14,1,3,2,14,1,18,1,8,1,18,1,14,1,3,1,16,4,3,5,18,2,4,6,19,5,4,864,},
{4,699,10,3,18,1,3,1,16,11,3,5,16,6,3,1,18,2,3,1,16,7,3,1,10,2,3,3,18,5,4,2,3,1,16,1,18,1,10,2,18,1,3,1,16,5,3,2,18,1,8,5,14,1,18,1,8,1,10,6,8,2,10,15,8,1,10,65,8,2,10,8,8,2,10,2,8,1,18,1,8,1,10,28,8,6,10,2,8,1,14,2,8,1,10,10,8,1,14,6,8,1,10,5,8,4,18,5,8,1,10,2,8,2,10,9,9,1,18,2,8,1,10,8,9,2,8,1,18,2,8,2,15,1,14,1,15,3,8,1,10,3,8,5,10,138,4,3,18,2,10,91,9,1,8,1,10,51,9,3,10,8,9,2,10,14,4,6,10,12,9,2,18,1,8,1,9,1,10,1,9,1,8,3,18,1,8,2,10,1,9,5,8,9,9,1,10,14,8,73,10,7,8,4,10,1,8,5,10,3,9,1,8,5,18,1,8,3,10,1,8,2,18,3,8,2,9,5,10,1,4,20,18,1,15,1,18,1,8,5,18,1,8,4,18,3,9,4,10,3,8,14,9,2,10,7,9,1,18,1,8,2,9,1,8,4,9,1,8,1,9,1,10,2,8,1,18,2,8,1,9,1,10,1,9,2,8,1,18,3,8,3,18,4,8,3,18,2,8,2,9,1,10,2,9,1,8,32,18,12,8,1,9,2,8,1,18,3,8,1,18,1,8,2,9,2,8,1,18,1,8,1,9,1,8,1,18,6,3,5,14,1,18,1,14,1,3,2,14,1,18,2,8,1,9,2,8,1,18,3,15,2,18,2,8,3,18,1,15,1,18,1,8,4,18,3,4,1,19,4,4,24,18,1,3,1,14,1,15,1,8,7,15,1,14,1,3,1,16,3,14,1,7,1,8,4,18,1,15,2,14,5,15,1,8,2,15,3,18,1,8,2,18,6,8,2,18,2,15,4,14,9,15,2,18,1,15,2,18,1,8,6,15,4,18,2,8,1,10,2,8,1,18,3,4,2,19,5,4,11,19,4,4,172,19,6,4,2,18,2,4,6,18,3,15,1,18,3,14,1,18,1,15,1,14,1,15,1,8,4,18,9,9,1,18,3,8,1,10,2,8,1,18,2,8,5,18,1,15,3,18,1,8,2,18,1,15,1,14,1,15,3,14,2,15,1,18,2,15,1,14,13,18,1,15,1,14,3,18,4,3,1,16,9,3,2,18,2,4,873,},
{4,698,18,5,3,1,16,11,3,4,16,7,3,1,18,2,3,1,16,6,3,1,18,1,10,2,3,1,16,1,3,2,18,3,4,3,18,1,3,1,18,1,10,1,18,1,3,2,16,4,3,3,18,1,8,3,10,1,8,1,18,1,8,1,10,20,18,1,10,83,8,1,18,1,8,1,10,24,8,5,18,6,8,1,18,3,10,6,8,2,10,2,8,1,18,1,14,4,3,1,14,1,8,1,10,7,8,1,18,4,8,1,18,1,8,1,10,2,18,2,8,1,10,9,8,2,10,11,9,1,8,5,18,3,15,1,18,1,8,1,10,1,8,7,10,285,8,3,9,1,10,8,9,1,8,1,10,7,9,6,10,1,4,6,10,14,9,1,18,1,10,3,9,1,10,2,9,2,10,2,9,5,8,1,18,2,8,7,10,12,8,1,10,2,8,73,10,4,8,9,9,1,10,5,9,1,8,8,10,3,8,3,18,1,8,3,18,5,4,20,9,1,18,1,9,1,8,4,15,1,8,8,9,3,10,4,8,9,9,1,8,4,9,4,10,4,8,1,18,2,8,2,9,2,8,4,9,1,10,2,9,1,8,5,9,3,8,1,18,3,8,3,18,1,8,1,18,2,8,3,18,1,8,40,18,10,8,1,9,4,18,3,8,1,18,1,8,1,9,4,18,13,14,1,3,1,14,1,18,1,14,1,3,3,14,2,18,3,8,2,18,10,15,1,18,1,8,3,18,4,4,1,19,4,4,24,18,1,3,1,14,1,7,1,8,6,15,1,14,2,16,4,14,1,7,1,8,3,15,1,14,3,15,1,7,2,14,2,15,7,18,1,8,1,18,8,15,5,14,6,15,1,14,1,15,1,8,2,18,1,15,1,14,1,15,1,8,1,9,4,15,1,14,1,3,2,14,2,15,1,8,2,10,2,18,4,4,3,19,3,4,9,18,1,4,3,19,3,4,172,19,7,4,4,19,3,4,3,18,6,14,1,18,5,8,1,18,10,9,6,10,2,8,1,18,2,8,5,18,1,15,3,8,3,18,1,15,3,14,4,15,1,18,3,15,1,14,2,15,1,18,2,15,1,14,6,18,2,14,3,18,3,14,1,3,1,16,12,3,2,18,1,4,871,},
{4,698,18,1,3,4,16,11,3,2,16,10,3,4,16,6,3,1,18,1,10,1,18,1,16,2,3,2,10,2,4,6,18,1,3,3,16,8,3,1,18,1,14,1,18,1,8,1,10,11,18,1,10,2,8,1,10,7,18,2,10,83,8,2,10,25,8,3,10,1,8,1,18,9,10,7,18,2,10,2,8,1,18,1,8,3,18,1,14,2,8,1,10,7,18,5,8,3,10,2,18,2,8,1,10,24,8,1,9,1,8,4,18,1,15,2,18,1,8,8,10,167,8,2,10,32,8,2,10,12,8,2,10,68,8,1,18,1,8,1,9,1,10,3,9,2,10,3,9,1,8,1,9,1,10,5,9,2,18,3,9,1,18,2,4,6,10,14,4,5,10,8,9,3,8,1,18,3,8,10,10,8,8,3,10,3,8,8,10,2,8,22,9,1,10,1,9,1,8,45,18,1,8,3,10,5,8,7,10,7,8,6,18,6,10,2,18,2,4,15,10,1,9,3,8,12,10,2,8,14,9,1,8,6,9,2,10,3,9,1,8,1,18,3,8,8,10,1,9,2,8,9,18,7,8,2,18,1,8,44,18,10,8,1,9,4,18,2,8,2,18,2,9,4,18,4,14,1,18,8,14,1,3,1,14,1,18,1,14,1,3,6,14,1,18,2,8,7,18,2,15,2,18,2,8,1,18,5,4,2,19,4,4,24,18,1,3,1,14,2,7,1,8,4,15,1,14,2,3,1,16,3,17,1,14,2,15,1,8,2,15,1,14,1,3,1,14,1,15,1,8,1,7,2,14,7,15,2,18,1,8,1,18,6,15,2,14,9,15,1,8,5,15,1,14,2,15,1,8,1,10,3,9,1,14,1,16,3,3,1,14,1,8,1,10,2,8,2,18,2,8,1,10,1,4,2,19,2,4,2,18,3,4,185,19,8,4,1,19,5,4,5,18,20,9,1,10,7,9,1,8,1,18,2,8,1,9,2,8,1,18,5,8,2,18,2,15,3,14,4,15,1,8,2,18,2,15,2,18,4,3,3,14,1,3,1,18,8,3,2,16,15,3,1,18,1,4,870,},
{4,698,3,2,16,13,3,2,16,12,3,3,16,6,3,1,18,1,10,1,18,1,3,1,16,2,3,1,10,1,18,1,4,6,3,2,16,10,3,1,18,1,14,1,18,1,8,1,10,3,8,2,10,17,18,2,10,2,8,1,10,22,8,1,10,58,8,1,10,24,8,1,18,2,8,1,10,2,18,2,8,2,18,3,8,1,10,8,18,2,10,2,18,1,15,1,8,1,10,2,8,1,14,2,8,5,10,3,18,1,14,1,18,3,10,5,18,2,8,1,10,25,8,2,10,1,8,2,15,1,14,2,15,1,18,1,8,7,10,167,8,3,10,31,8,1,10,37,9,3,10,25,9,2,10,16,9,3,10,4,9,1,8,1,10,4,9,1,10,7,9,1,18,3,9,2,10,1,4,6,10,14,4,6,10,6,9,4,18,4,9,3,8,3,9,1,8,4,10,6,8,4,10,3,8,8,10,2,8,21,9,1,10,2,8,26,9,1,10,2,9,1,8,16,15,1,18,1,8,2,10,4,8,8,10,9,9,1,8,2,9,1,18,10,4,15,10,1,9,1,10,2,8,11,10,4,8,10,9,5,8,5,9,5,8,8,9,1,8,7,9,3,8,2,18,3,8,4,18,4,8,2,18,1,8,18,9,2,8,24,18,10,8,1,9,5,8,1,9,1,8,1,18,2,9,1,10,2,9,1,18,13,3,2,18,3,14,1,3,1,18,1,3,4,18,2,8,6,18,1,8,1,18,1,15,2,18,2,15,1,18,4,4,3,19,4,4,24,18,1,3,1,14,1,7,2,8,3,15,1,14,2,3,3,16,1,17,1,14,3,15,1,8,3,14,1,3,2,14,1,7,2,14,9,15,1,18,7,15,1,14,10,15,1,8,1,10,5,15,1,14,1,3,1,14,1,18,1,10,3,9,1,14,1,16,3,14,2,8,1,10,2,8,1,18,1,8,2,10,3,4,3,18,1,3,4,18,2,4,4,18,3,4,66,18,2,4,109,19,4,4,1,19,8,4,6,18,3,10,4,9,1,18,10,10,8,9,1,18,4,8,1,9,2,8,1,18,4,8,2,18,3,8,1,7,1,15,2,14,1,15,3,8,2,18,8,3,2,14,1,18,1,3,1,18,8,3,2,16,1,3,2,16,13,3,1,18,1,4,1,18,3,4,865,},
{4,698,3,2,16,28,3,2,16,6,3,1,18,1,10,2,3,1,16,2,3,1,10,1,18,1,4,4,18,2,3,1,16,6,3,3,16,2,18,1,10,1,18,2,10,2,8,1,18,2,8,1,10,3,18,2,10,12,18,2,10,2,8,1,10,16,18,2,10,3,8,2,10,2,18,1,10,12,8,3,10,7,18,2,10,16,8,1,10,39,8,1,18,2,8,1,10,2,8,2,10,3,8,2,10,9,8,4,14,2,8,1,10,2,8,1,18,1,14,1,8,2,18,3,10,3,18,1,3,2,18,2,10,5,18,2,8,1,10,1,8,1,10,22,8,3,10,2,18,1,14,3,15,1,18,1,8,3,10,1,8,3,10,71,9,1,8,3,10,14,9,2,10,76,8,3,10,47,9,1,10,6,9,1,10,4,9,2,10,8,9,1,8,3,9,1,10,23,18,1,9,1,10,9,8,2,10,12,9,1,8,1,9,1,10,11,9,3,10,9,18,1,10,5,9,1,18,1,9,1,10,2,9,1,10,3,4,11,18,3,8,2,18,2,8,2,10,1,9,1,8,4,10,2,8,3,10,6,8,4,10,3,8,31,9,1,10,1,8,27,10,4,8,20,10,1,9,1,8,4,9,1,8,3,18,1,8,1,10,4,8,4,9,1,8,4,9,3,18,7,4,13,18,1,10,4,8,11,10,10,8,4,9,6,8,6,9,2,8,2,9,1,10,3,9,1,8,3,10,2,8,4,18,1,8,1,9,2,10,1,9,1,8,1,18,3,9,3,8,1,18,4,9,2,8,6,9,1,8,2,18,1,8,1,9,1,8,6,9,1,10,2,9,1,8,22,18,11,9,8,18,3,9,1,10,2,9,1,18,10,9,1,18,2,3,1,14,1,18,1,9,2,18,2,9,1,18,1,3,3,18,2,8,3,18,8,8,2,15,2,18,3,4,3,19,2,4,26,18,1,3,1,14,1,8,5,15,1,14,1,3,4,14,4,7,2,8,3,15,1,3,2,14,1,7,1,14,11,15,1,18,6,14,2,3,4,14,1,18,5,10,6,15,1,3,3,14,1,9,1,10,2,9,1,14,1,16,3,14,1,15,1,8,1,10,1,8,1,15,1,18,1,10,6,18,2,3,6,18,8,4,3,18,1,3,1,18,1,4,60,18,2,4,4,18,2,4,110,19,6,4,12,10,3,9,1,18,1,4,1,18,4,4,10,18,2,4,1,18,2,8,1,10,1,9,1,8,1,18,1,15,1,18,2,9,1,8,1,18,2,15,2,8,3,15,4,18,1,8,1,18,8,14,2,18,12,14,1,3,1,14,2,3,2,16,12,3,1,18,3,4,866,},
{4,698,18,1,3,2,16,35,3,1,18,1,10,2,3,1,16,2,3,1,10,1,18,1,4,2,18,1,3,3,16,6,3,3,16,3,18,1,9,1,18,1,8,1,10,2,8,3,10,3,8,1,18,2,8,1,10,2,18,2,10,4,18,1,10,23,18,2,10,7,18,1,10,11,8,5,10,6,18,1,10,7,8,2,10,48,18,3,10,3,8,2,10,9,8,1,10,4,8,3,18,1,14,2,8,1,10,3,8,4,14,2,18,1,10,3,18,1,14,1,18,2,8,1,10,6,8,1,10,24,8,4,10,1,8,1,15,1,14,3,18,1,8,3,10,2,8,3,10,72,8,3,10,14,9,3,10,76,8,1,10,48,9,1,8,1,10,4,9,1,8,4,10,1,9,1,10,9,9,1,8,4,10,8,8,2,10,24,8,3,10,12,9,1,8,1,9,1,10,21,9,2,10,4,9,1,18,3,9,1,10,1,9,1,10,3,4,12,18,2,8,5,9,1,10,1,9,1,8,4,10,2,8,3,10,6,8,4,10,3,8,29,9,1,10,3,8,15,10,2,9,1,8,10,9,1,10,1,9,1,8,8,15,1,18,1,8,16,10,2,8,2,18,1,8,1,10,3,8,8,9,8,18,4,4,12,18,2,9,3,8,12,10,11,8,4,9,1,10,2,9,3,8,4,9,2,8,3,9,1,10,4,9,1,8,1,9,1,10,2,18,5,8,1,9,1,10,2,8,1,18,3,8,1,9,1,10,1,9,1,8,1,18,3,8,1,9,2,8,3,9,1,8,2,9,1,8,11,9,1,10,2,9,1,8,23,18,10,8,2,9,3,8,1,18,1,8,1,18,3,9,2,10,1,9,1,18,2,9,2,8,2,18,2,14,1,18,4,14,1,18,2,9,1,10,4,18,1,14,1,3,1,14,1,18,2,8,1,18,10,8,2,15,1,18,4,4,2,19,3,4,26,18,1,3,1,14,1,15,1,8,4,14,2,3,4,14,3,15,3,8,3,15,1,3,1,16,1,17,1,14,13,15,5,14,3,3,1,16,1,3,3,18,2,4,7,10,2,14,1,3,1,16,2,3,1,18,1,9,1,10,1,9,1,15,1,3,2,14,1,8,5,15,2,10,4,8,1,18,1,3,2,16,4,3,4,18,4,14,1,3,1,18,3,3,3,4,65,18,7,4,3,19,4,4,99,19,3,4,1,19,1,4,13,10,4,4,8,19,4,4,8,18,2,9,1,18,5,9,2,8,1,18,3,15,1,8,11,18,18,9,1,8,1,18,1,15,1,14,2,15,1,14,2,3,5,16,6,3,1,18,1,3,1,18,1,4,28,19,4,4,834,},
{4,692,19,5,4,3,18,1,3,1,16,34,3,1,18,4,3,2,18,2,10,1,18,1,3,5,16,5,3,3,16,4,3,2,18,1,10,8,8,1,18,2,8,1,10,3,18,2,10,3,18,2,10,24,8,1,10,19,8,5,10,13,8,4,10,46,8,1,18,2,8,1,10,3,18,2,8,1,10,7,8,1,18,1,10,5,8,1,18,4,8,4,10,3,8,1,18,3,10,3,8,4,10,31,8,3,9,1,8,1,18,1,14,2,3,2,14,1,8,1,9,1,8,1,9,1,10,2,8,2,9,1,10,73,8,3,10,125,8,4,10,7,8,3,10,2,9,1,8,1,9,2,10,2,9,1,8,4,10,11,9,1,8,1,10,11,8,1,18,1,8,1,10,38,9,2,8,1,9,1,10,1,9,1,8,2,10,6,9,1,10,17,9,4,10,4,4,11,18,1,4,1,10,1,9,1,8,10,9,1,10,1,9,1,8,3,10,5,8,6,10,1,8,30,10,4,9,1,8,14,9,7,8,15,15,3,8,17,9,1,10,1,8,3,9,1,10,2,8,7,9,2,10,2,9,1,8,1,9,2,10,1,9,1,8,1,18,3,4,13,10,1,8,16,10,4,8,11,10,3,9,1,10,1,8,1,18,1,8,1,9,1,10,1,8,2,10,3,9,3,10,4,4,5,18,2,8,1,10,2,8,1,18,3,8,1,10,4,8,6,10,3,8,16,9,3,8,2,18,3,8,1,9,3,8,1,18,4,8,1,18,1,8,4,18,1,8,4,18,3,8,1,9,2,8,1,18,4,8,1,9,2,18,4,9,6,18,3,9,4,18,1,14,1,3,1,14,1,18,6,9,5,18,7,8,4,18,5,8,2,18,4,4,2,19,4,4,28,3,2,8,1,10,2,8,1,14,1,3,1,14,2,16,3,14,1,15,1,8,1,15,2,8,3,14,1,16,3,17,1,14,1,7,2,14,8,15,3,7,6,14,1,16,1,3,4,4,8,10,1,18,1,3,1,16,3,3,1,18,1,8,1,10,1,8,4,18,1,8,5,15,2,8,1,10,2,8,1,15,1,14,1,16,9,17,1,14,1,15,3,14,2,15,1,18,2,3,3,4,66,18,4,9,1,18,2,4,2,19,7,4,114,10,4,4,3,19,9,4,4,19,2,4,7,18,1,9,1,10,1,9,1,8,3,18,2,15,5,8,8,18,1,15,1,18,1,8,2,15,1,14,1,18,8,15,1,18,1,8,1,10,1,8,1,18,1,14,2,15,1,18,2,15,1,3,6,16,5,3,2,18,1,4,28,19,6,4,832,},
{4,692,19,5,4,3,18,1,3,1,16,34,3,1,18,1,10,1,18,4,10,1,18,1,10,1,3,1,16,1,3,2,16,4,3,4,18,2,3,1,16,3,3,2,18,1,10,7,8,1,18,1,8,3,10,3,18,2,10,2,18,2,10,25,8,2,10,4,8,1,10,12,8,6,10,8,8,2,10,4,8,4,10,45,18,3,10,4,18,2,8,1,10,7,18,2,10,6,8,1,18,6,8,1,10,3,8,1,18,2,8,2,10,37,8,1,18,2,9,1,8,1,15,1,3,4,18,1,8,1,10,1,8,1,9,1,10,2,8,2,10,75,8,3,10,124,8,4,10,7,8,3,10,1,9,1,8,11,10,24,8,1,18,1,8,1,10,20,8,2,10,18,9,2,8,4,9,1,10,5,9,1,10,4,9,1,10,15,9,1,10,1,9,2,18,1,4,13,18,1,8,16,10,5,8,38,10,4,8,14,9,8,8,14,15,3,8,15,9,1,8,3,10,1,8,2,10,3,9,1,8,2,9,2,8,4,10,4,8,2,9,1,10,2,8,1,18,3,4,1,18,11,10,2,8,14,10,3,8,5,9,4,8,1,9,1,8,3,10,3,9,1,10,1,9,1,18,1,8,1,10,2,8,2,10,3,9,1,8,1,9,2,10,2,18,1,4,6,18,1,8,1,10,3,8,1,18,2,8,1,10,3,8,6,10,4,8,16,9,3,8,2,18,3,8,2,9,3,8,1,18,2,8,1,9,1,8,2,9,2,8,1,18,1,8,2,9,9,18,5,9,2,18,3,8,1,9,3,8,1,9,2,8,2,9,5,18,1,15,1,3,2,18,2,9,1,18,4,9,3,8,6,18,2,8,3,18,6,8,2,18,4,4,2,19,4,4,28,18,1,3,1,18,1,10,2,8,1,14,1,16,1,14,2,16,3,17,1,15,1,8,1,15,2,8,3,14,1,16,4,14,1,7,2,14,8,7,5,6,1,7,3,6,1,16,1,3,3,18,1,4,9,3,2,16,2,3,2,18,5,10,2,8,1,18,1,8,4,15,2,8,2,15,1,14,2,16,12,6,1,14,1,7,1,14,2,7,1,15,2,14,1,3,2,18,1,4,66,18,3,8,1,10,1,18,1,4,3,19,6,4,114,10,4,4,2,19,10,4,4,19,2,4,8,18,1,10,1,18,2,8,2,18,3,15,4,8,8,18,1,15,2,8,2,15,2,8,2,15,6,14,1,18,1,8,1,10,1,8,2,14,2,18,1,8,1,9,1,8,1,14,1,3,3,14,2,3,4,16,1,3,1,14,1,8,1,10,1,4,20,18,1,3,2,4,5,19,5,4,832,},
{4,692,19,5,4,3,9,1,3,1,16,8,3,5,16,20,3,2,18,1,10,6,18,1,10,1,3,1,16,1,3,2,16,4,3,4,18,1,9,1,3,2,16,1,3,1,14,1,9,1,10,4,8,2,10,2,8,3,18,4,10,2,18,1,10,29,8,1,18,1,10,3,8,2,18,1,10,11,8,3,10,1,8,1,10,9,8,3,10,3,8,7,10,41,8,1,18,2,8,1,10,4,18,2,8,1,10,7,18,2,10,6,8,1,18,2,14,1,18,2,8,2,10,3,8,1,18,2,8,1,10,17,8,1,10,20,8,4,18,2,14,1,3,1,14,2,18,1,9,1,10,1,8,3,9,1,8,2,10,79,8,3,10,121,8,2,10,13,8,1,18,1,8,9,10,22,8,2,10,7,8,1,10,15,8,2,10,2,8,2,10,15,9,2,10,9,9,1,10,3,9,1,10,17,9,1,18,1,9,1,10,1,4,13,18,1,8,3,9,1,8,11,10,6,8,38,9,1,10,2,8,14,9,3,8,20,15,3,8,14,9,2,8,2,9,1,10,1,8,1,9,1,10,3,9,1,8,2,9,3,8,3,10,4,9,2,8,1,9,1,10,1,9,1,8,1,9,1,10,2,9,2,18,4,9,3,10,3,8,6,10,3,8,3,10,6,8,5,9,5,10,1,9,1,8,2,10,2,9,2,10,1,9,1,8,2,10,1,9,1,18,2,9,1,10,3,9,2,18,2,9,1,18,1,4,6,18,2,8,1,10,3,8,3,10,2,8,25,9,6,8,7,9,3,8,1,9,1,10,2,9,4,8,2,9,11,18,5,8,1,9,2,10,1,9,2,8,1,18,2,8,1,9,2,10,1,9,6,18,2,15,1,18,3,9,1,18,4,9,1,18,4,8,5,18,9,9,1,8,3,18,2,4,3,19,4,4,23,19,4,4,2,3,1,18,1,8,1,10,1,8,1,3,1,16,1,17,2,16,3,14,1,15,1,8,6,14,1,16,4,6,1,7,2,14,10,7,7,17,1,16,2,3,2,4,2,19,4,4,4,3,6,18,3,3,1,14,1,18,1,8,1,18,2,8,3,15,3,8,2,15,1,14,2,16,13,17,1,14,2,15,4,14,2,3,1,18,3,4,65,18,4,4,5,19,5,4,114,18,2,8,1,10,1,4,2,19,10,4,4,19,5,4,7,18,3,8,3,18,1,15,5,18,1,8,6,18,1,15,3,18,1,15,1,8,4,15,1,14,5,18,1,8,1,10,1,8,1,15,2,18,1,8,4,18,1,14,2,15,1,18,2,14,6,15,1,18,3,4,19,18,1,3,3,18,2,4,3,19,4,4,832,},
{4,692,19,5,4,4,3,1,16,7,3,7,16,19,3,3,18,1,10,6,18,1,3,1,16,1,3,2,16,4,3,1,18,1,3,2,18,1,10,1,18,1,3,3,18,1,9,2,10,3,8,5,10,3,18,2,10,3,18,1,10,29,8,1,18,1,10,3,8,1,18,3,10,10,8,3,10,9,8,5,10,4,8,2,18,1,8,2,10,42,8,1,18,1,8,1,10,4,8,3,10,7,8,1,18,2,10,4,8,3,18,1,14,2,18,1,8,2,10,4,8,1,18,2,8,1,10,39,9,1,8,1,18,4,14,2,18,1,8,1,9,1,10,1,8,1,18,2,8,2,9,1,10,79,8,6,10,133,8,1,18,1,8,1,9,1,8,7,10,22,8,1,10,7,8,3,10,14,8,2,10,1,8,1,18,1,8,1,9,1,10,15,9,1,10,13,9,1,10,17,9,1,18,1,9,1,10,1,4,13,18,1,8,3,10,3,9,1,8,7,10,6,8,16,9,1,8,23,10,1,9,1,8,9,15,3,8,2,10,2,8,21,15,2,8,8,18,2,8,2,9,1,8,1,9,1,10,1,9,1,8,3,9,1,8,1,9,1,10,4,9,1,8,1,9,7,10,4,9,1,8,2,9,1,10,3,9,2,10,2,9,1,8,5,9,1,10,1,9,1,8,6,10,4,8,3,10,6,8,5,9,1,10,1,9,3,10,2,9,2,10,3,9,1,10,1,9,1,8,2,10,1,8,1,18,2,8,1,10,4,9,1,18,4,4,6,18,3,10,4,8,3,9,2,8,23,9,8,8,7,9,3,10,4,9,1,10,1,9,4,10,4,9,5,8,1,18,6,9,1,10,3,9,1,18,3,8,1,9,1,10,4,9,1,8,4,18,4,9,1,18,11,8,5,18,7,9,3,8,1,18,2,4,4,19,4,4,22,19,6,4,1,18,1,3,1,18,1,8,2,3,1,16,6,14,2,8,5,7,1,17,1,16,4,17,1,14,7,3,2,14,3,7,2,6,1,7,4,14,1,16,2,3,2,4,1,19,6,4,3,18,5,4,2,18,2,3,2,18,2,15,1,8,8,15,1,14,1,16,17,14,1,7,1,15,5,18,1,3,2,18,2,4,60,19,2,4,8,18,1,4,2,19,5,4,114,18,5,4,1,19,10,4,4,19,6,4,7,18,10,15,1,18,3,8,4,18,10,14,6,18,1,8,1,18,1,14,2,18,2,8,2,18,11,15,2,18,2,15,1,14,1,18,2,4,19,18,1,3,2,18,4,4,1,19,4,4,832,},
{4,692,19,4,4,4,18,1,3,1,16,6,3,4,16,4,3,2,16,20,3,1,18,1,10,5,3,4,18,1,3,1,16,3,3,1,18,3,10,1,18,1,3,3,18,1,3,3,18,1,8,1,10,3,8,1,18,1,8,1,10,6,18,1,10,10,18,2,10,19,8,1,18,1,10,3,8,2,18,1,10,11,8,2,10,9,8,3,18,2,8,2,10,3,8,4,10,43,8,2,10,4,8,3,10,8,8,3,10,3,8,3,18,2,14,2,18,1,8,1,10,5,8,1,18,2,8,1,10,40,8,1,18,2,8,1,18,1,15,1,14,1,18,1,8,4,18,2,8,2,10,80,8,6,10,8,9,2,10,69,8,1,10,9,8,2,10,42,8,2,10,3,9,1,8,3,10,53,18,2,8,1,10,15,9,1,10,5,9,1,10,26,18,3,4,13,18,1,8,3,10,4,8,7,9,1,10,3,8,7,9,2,8,33,10,1,8,9,15,4,8,1,9,1,10,2,8,21,15,2,8,8,18,2,8,2,9,3,10,2,8,5,9,1,10,4,9,11,10,2,9,3,10,4,9,1,8,1,10,3,9,3,8,2,9,1,10,1,9,2,8,4,10,5,8,4,10,5,8,5,9,3,8,2,10,9,9,1,8,2,9,1,8,1,18,2,8,1,10,4,9,1,18,4,4,6,18,3,9,4,18,3,9,4,8,2,9,6,8,8,9,2,8,3,9,9,8,1,9,2,8,3,9,3,10,7,9,3,10,2,9,6,8,2,18,6,9,1,10,3,9,1,18,3,8,2,9,1,10,3,8,2,18,2,8,3,9,3,18,5,9,1,18,5,8,6,18,6,9,3,18,2,4,5,19,3,4,23,19,6,4,1,18,1,3,1,14,1,8,1,15,1,3,1,16,6,3,1,14,1,15,1,8,4,14,1,16,6,17,1,14,9,15,2,7,8,14,1,16,1,3,2,4,1,19,6,4,3,18,1,4,9,18,2,3,1,14,1,18,1,8,4,10,3,8,1,14,1,16,18,14,2,15,3,18,2,3,2,18,1,4,47,19,8,4,6,19,5,4,4,18,2,4,2,19,5,4,108,19,4,4,2,18,4,4,16,19,6,4,8,18,4,4,1,18,8,9,3,18,9,3,4,18,6,3,3,18,1,9,2,18,12,8,1,18,4,3,2,18,1,4,22,18,4,4,1,19,4,4,832,},
{4,692,19,4,4,4,18,1,3,1,16,6,3,3,16,5,3,3,16,19,3,2,10,4,18,1,3,2,16,1,3,3,16,3,3,1,18,1,9,1,10,2,18,1,3,8,18,1,10,3,8,2,10,6,18,2,9,1,10,9,18,1,10,20,8,1,10,4,8,1,10,23,8,1,18,2,8,6,10,1,8,5,10,43,8,2,10,4,18,1,8,1,10,8,8,2,10,5,8,1,18,4,14,1,18,1,8,1,10,6,8,1,18,2,8,1,10,35,8,2,10,3,8,1,18,2,8,2,18,3,8,4,18,3,9,1,10,95,9,1,10,68,8,1,18,1,8,1,10,7,8,3,10,41,9,2,10,5,9,2,10,11,8,1,10,42,8,1,18,1,8,1,10,3,8,1,10,11,9,1,10,4,9,2,10,5,9,2,10,19,9,1,18,2,4,13,18,1,8,3,10,3,9,1,8,18,10,2,9,1,8,32,9,1,8,9,15,4,8,1,9,1,10,2,8,20,15,2,8,9,18,1,15,1,18,1,8,1,9,2,10,3,8,5,9,1,10,4,9,4,10,3,9,7,10,6,8,2,10,6,8,2,9,4,8,3,9,1,10,4,8,5,10,5,8,5,9,2,8,3,10,8,9,1,8,5,18,1,8,1,10,10,4,6,10,2,9,1,18,7,9,4,8,2,9,16,8,3,9,3,8,4,9,6,8,2,9,4,10,3,9,1,10,2,9,10,8,2,18,4,8,1,18,2,8,1,10,3,9,1,18,2,8,3,9,1,10,2,9,1,8,1,18,3,8,2,10,3,9,1,18,5,9,2,18,4,8,8,18,8,4,3,19,6,4,23,19,5,4,2,18,1,3,1,14,1,8,2,3,1,16,6,14,2,15,2,8,3,14,1,16,6,17,1,14,10,15,1,7,8,14,1,16,1,3,2,4,1,19,6,4,6,19,4,4,5,18,4,8,3,10,3,8,1,14,1,16,9,17,1,16,9,17,1,14,2,15,2,14,1,3,2,4,48,19,8,4,6,19,6,4,8,19,3,4,109,19,4,4,2,18,4,4,20,19,1,4,3,19,3,4,10,18,3,3,1,18,24,3,3,18,5,3,1,18,14,3,2,18,1,4,25,18,1,4,2,19,3,4,832,},
{4,692,19,4,4,2,18,3,3,1,16,7,3,1,16,2,3,7,16,15,3,5,18,1,10,5,3,2,16,1,3,3,16,3,3,2,9,1,10,3,18,1,3,3,16,1,3,3,18,1,8,1,10,2,8,2,10,4,18,1,8,1,10,1,18,1,10,34,8,2,10,24,8,1,18,2,8,7,18,1,8,3,10,50,8,2,10,8,8,1,10,6,8,1,18,1,14,3,18,1,8,1,10,6,8,1,18,3,8,1,10,10,8,4,10,7,8,2,10,12,8,2,10,3,8,1,18,2,8,2,18,3,8,2,9,1,8,2,18,1,8,1,10,76,8,3,10,10,8,3,10,4,9,1,10,67,8,1,18,3,8,1,10,5,8,2,18,1,8,1,10,40,9,1,8,1,10,18,8,2,10,17,8,2,10,23,8,3,10,3,8,1,10,15,8,2,10,5,9,1,8,1,9,1,10,19,9,1,18,4,10,2,4,9,18,1,9,1,8,24,10,2,9,1,8,43,15,2,8,2,9,1,10,2,9,1,8,17,15,4,8,3,9,4,8,2,18,1,15,1,18,1,8,1,9,2,10,3,8,6,9,1,10,3,9,2,8,1,9,1,10,4,9,6,10,6,8,1,18,1,8,1,10,6,9,4,8,2,9,3,10,3,8,7,10,4,8,5,10,2,9,1,8,2,10,8,8,7,9,1,10,18,9,1,18,2,4,4,18,2,9,3,8,1,18,1,8,1,9,1,8,1,9,5,10,1,9,4,8,5,9,2,8,3,18,2,8,1,9,2,10,3,9,4,8,3,9,4,10,2,9,1,8,4,9,2,10,2,9,2,8,1,18,4,8,1,18,2,8,1,9,1,10,1,9,1,8,1,18,2,8,1,9,1,8,2,9,2,8,1,18,4,8,2,10,3,9,1,18,5,9,3,18,1,8,8,9,3,18,4,4,5,19,6,4,22,19,4,4,4,18,1,3,2,14,1,8,2,14,1,3,3,16,2,3,1,14,2,15,2,8,1,10,1,8,1,14,1,16,3,17,2,16,2,17,1,14,11,7,7,14,1,16,2,3,1,18,1,4,1,19,5,4,2,19,7,4,8,18,2,14,2,15,1,8,3,15,1,14,1,16,9,17,1,16,10,17,1,14,3,3,3,4,1,19,5,4,42,19,11,4,3,19,6,4,120,19,4,4,2,18,3,4,25,19,5,4,9,18,5,4,1,18,2,3,2,18,4,4,8,18,2,4,2,18,2,3,2,18,1,4,2,18,4,4,4,18,2,4,1,18,3,14,1,18,3,3,1,18,3,4,13,19,6,4,13,19,1,4,828,},
{4,692,19,4,4,2,18,1,3,3,16,6,3,1,16,3,3,9,16,14,3,4,18,3,10,3,18,1,3,2,16,1,3,3,16,1,3,2,18,1,10,4,9,1,18,1,3,1,16,3,3,1,18,2,8,1,10,7,8,1,18,1,8,1,10,7,18,3,10,26,18,1,8,1,10,24,8,1,18,1,8,2,10,1,8,2,18,5,8,2,10,2,8,3,10,55,8,1,10,5,8,1,18,1,14,3,18,1,8,1,10,7,8,2,18,1,8,1,10,11,8,4,10,7,8,2,10,17,8,2,18,1,8,3,18,2,8,1,9,1,10,2,8,1,18,1,8,1,10,22,18,2,10,37,8,1,10,14,8,3,10,10,8,3,10,3,9,3,10,66,8,1,18,3,8,1,10,5,8,4,10,40,9,1,8,1,10,18,8,2,10,17,8,2,10,8,8,3,10,3,8,3,10,6,8,3,10,2,8,2,10,8,8,1,9,1,10,4,9,1,8,2,10,5,8,2,9,1,10,2,8,2,10,15,9,1,18,4,10,2,4,9,10,1,9,2,8,64,9,1,8,8,9,1,10,2,9,1,8,14,15,6,8,4,9,4,8,3,18,2,8,1,9,2,10,3,9,1,8,6,10,3,9,1,8,1,18,1,9,1,10,7,9,1,8,1,9,1,10,6,8,3,9,1,10,5,9,11,8,9,10,3,8,5,10,3,9,2,8,1,9,1,10,5,9,1,8,7,10,20,18,1,4,6,18,2,9,3,8,1,18,3,8,2,9,7,8,6,9,3,8,1,18,3,8,1,9,1,10,6,9,2,8,1,18,2,8,4,10,2,9,1,8,4,9,1,10,5,9,1,8,1,18,3,8,1,18,4,8,4,9,3,8,5,18,1,8,1,18,1,8,3,10,3,9,2,18,5,9,3,8,2,18,1,8,1,18,1,8,3,10,2,9,1,18,3,4,5,19,7,4,19,19,6,4,5,18,2,14,1,18,1,10,2,15,1,14,8,15,1,8,2,10,1,8,1,14,1,16,3,14,1,6,1,17,1,16,7,3,1,14,2,17,1,16,1,17,1,6,1,7,4,14,3,16,3,3,1,4,1,19,5,4,2,19,13,4,2,18,2,14,3,18,1,8,2,15,1,14,3,16,19,14,1,3,2,16,2,3,1,19,6,4,42,19,12,4,3,19,4,4,121,19,5,4,7,18,2,4,20,19,5,4,11,18,1,4,4,18,1,3,2,18,1,4,17,18,2,4,15,18,10,4,13,19,6,4,12,19,3,4,827,},
{4,692,19,5,4,2,3,3,16,3,3,4,16,7,3,4,16,17,3,1,18,5,10,3,18,1,3,1,16,2,3,4,18,1,10,4,18,2,3,3,16,1,3,2,18,1,10,21,18,1,10,26,18,2,8,1,10,23,8,3,10,3,8,4,18,1,8,3,10,2,8,4,10,54,8,2,10,3,8,2,18,1,14,2,18,1,8,2,10,8,8,2,10,24,8,1,10,17,8,6,18,2,8,1,10,3,9,1,8,2,10,22,18,2,10,37,8,5,10,10,8,3,10,10,8,3,10,2,9,2,8,3,9,1,10,64,8,1,18,1,14,1,18,1,8,1,10,4,8,4,10,41,9,2,10,31,9,1,10,15,8,2,18,1,8,6,10,6,8,3,10,1,8,3,10,8,8,2,10,4,8,2,9,1,10,4,9,1,18,1,8,1,9,2,8,3,10,2,8,1,10,5,8,1,10,5,8,1,18,4,9,1,10,2,4,8,18,1,10,1,8,65,9,3,8,7,9,1,10,2,9,1,8,15,15,4,8,4,9,5,8,6,9,2,10,2,9,2,8,6,9,1,10,1,9,2,18,2,9,1,10,8,8,1,9,1,10,5,9,1,8,3,10,6,9,1,18,3,9,8,8,16,9,1,10,4,8,2,9,1,10,4,8,8,10,15,4,12,18,4,9,2,18,6,9,6,8,1,18,3,8,2,9,3,8,4,9,1,10,8,9,1,8,1,18,2,8,4,10,2,8,5,10,6,9,1,8,7,18,2,8,3,10,2,9,3,8,2,18,1,8,2,18,1,8,4,10,4,9,1,18,15,9,4,18,2,4,5,19,7,4,19,19,6,4,3,18,6,8,1,10,2,8,1,15,3,14,1,15,4,8,2,9,1,10,1,8,1,14,1,16,3,14,2,17,1,16,7,3,1,14,1,17,1,16,3,17,1,14,1,7,3,14,2,16,1,3,2,16,1,3,1,4,9,19,12,4,2,18,2,3,1,18,4,8,1,18,1,14,3,3,1,16,18,17,1,16,4,3,1,19,6,4,49,19,5,4,128,19,6,4,29,19,5,4,15,18,1,3,2,4,28,19,5,4,2,18,2,4,3,18,3,4,8,18,1,19,1,4,5,19,6,4,4,18,7,4,2,19,4,4,825,},
{4,693,19,2,4,4,3,2,16,4,3,4,16,6,3,6,16,16,3,2,18,1,3,1,18,1,10,4,18,1,3,6,18,1,10,2,18,1,3,1,18,1,3,2,16,1,3,4,18,2,10,8,18,1,10,9,18,1,10,2,18,1,10,25,8,1,18,2,8,1,10,23,8,3,10,3,8,3,10,1,8,3,10,3,8,4,10,36,8,2,10,6,18,1,10,2,8,3,10,4,8,1,10,4,8,2,18,3,8,1,10,54,8,5,18,2,14,1,18,1,10,3,9,1,8,1,10,23,18,2,10,37,8,5,10,23,8,3,9,3,8,7,9,5,10,57,8,1,18,1,14,1,18,1,8,1,10,3,8,1,18,1,8,2,10,74,9,1,8,2,10,14,8,2,18,1,8,7,10,6,8,1,10,2,8,2,10,15,8,2,9,1,10,3,9,3,10,2,9,1,8,4,10,1,8,1,10,5,8,2,10,2,9,1,8,4,9,3,10,2,4,8,9,1,8,19,10,5,8,42,9,2,8,11,9,1,8,15,15,3,8,5,9,5,8,6,9,5,10,1,9,1,8,6,9,3,18,2,9,1,10,8,9,2,10,4,9,3,10,6,9,1,10,2,18,3,9,1,10,3,9,3,8,17,9,1,10,4,8,1,18,1,8,1,10,2,9,1,8,9,10,15,4,12,10,1,18,3,9,3,18,7,9,1,18,7,8,3,9,2,8,4,9,1,10,7,9,3,8,6,9,2,8,5,9,1,10,6,9,1,8,11,10,2,9,1,8,1,9,1,8,1,18,2,8,8,10,4,4,1,18,19,4,4,19,6,4,22,19,5,4,3,18,5,8,2,10,4,8,2,15,1,8,4,9,3,10,2,8,1,14,1,16,3,17,1,6,1,17,1,16,8,14,1,16,5,17,1,7,1,8,2,7,1,14,1,3,5,18,1,4,12,19,8,4,2,18,1,3,1,18,6,15,2,14,3,3,2,16,20,3,1,18,1,19,5,4,36,18,1,4,6,18,5,4,3,19,4,4,129,19,6,4,30,19,2,4,40,19,13,4,17,18,1,19,1,4,5,19,5,4,3,18,1,3,8,18,1,19,6,4,824,},
{4,699,3,2,16,5,3,3,16,4,3,9,16,16,3,3,18,1,10,5,3,4,18,1,3,1,18,1,10,1,18,1,16,7,3,1,18,1,10,3,18,4,8,1,10,3,18,3,10,3,18,1,8,1,10,2,18,1,10,1,18,1,10,26,8,4,10,17,8,2,10,3,8,3,10,4,8,1,10,49,8,1,10,10,8,2,10,5,8,1,10,4,8,3,18,1,8,1,10,54,8,2,10,2,8,2,18,2,14,1,15,1,8,1,10,1,9,1,8,2,10,65,8,2,10,26,8,16,10,56,8,1,18,1,14,1,18,1,8,1,10,3,8,1,18,1,8,1,10,75,9,1,8,2,10,16,8,6,18,1,8,1,10,9,8,2,10,2,8,1,10,4,8,1,10,12,9,3,10,4,8,4,10,7,8,6,9,2,10,4,9,3,10,6,9,1,8,3,9,1,10,9,8,6,9,1,10,5,9,1,8,22,15,2,8,53,9,6,8,3,9,2,8,1,9,5,10,2,8,6,9,1,18,4,9,1,10,8,9,2,10,4,9,2,10,6,9,1,8,1,18,1,4,7,10,1,9,2,18,1,8,10,18,1,8,7,9,1,10,3,8,1,18,1,8,1,9,1,8,2,18,2,8,3,9,2,8,3,10,14,4,12,10,1,9,3,10,3,9,1,18,10,9,4,8,4,9,2,8,1,9,2,10,7,8,2,9,3,8,1,9,2,8,10,9,1,10,5,9,1,8,11,10,2,8,2,9,1,8,1,18,2,8,8,18,1,4,26,19,5,4,24,19,3,4,4,18,4,9,2,10,3,8,7,9,3,10,5,8,1,14,1,16,3,17,3,16,7,3,1,14,1,16,2,17,1,16,3,14,1,7,1,8,2,14,2,18,1,3,4,4,13,19,7,4,2,3,1,18,2,8,3,15,1,18,1,15,1,14,5,3,3,14,2,16,16,3,1,4,1,19,4,4,36,18,1,3,1,18,3,4,1,18,3,3,3,18,3,4,2,19,3,4,132,19,9,4,65,19,15,4,24,19,4,4,2,18,1,3,2,16,2,3,5,4,1,19,6,4,824,},
{4,699,3,2,16,5,3,9,18,3,3,5,16,16,3,2,18,1,10,5,18,1,3,2,18,3,3,3,16,8,18,1,10,2,18,1,3,1,16,1,3,1,18,1,8,1,10,4,18,1,10,1,18,1,10,1,8,1,18,2,10,1,18,2,9,1,18,1,10,27,8,4,10,16,8,4,10,1,8,3,10,2,8,4,10,50,18,2,10,6,8,2,10,11,8,4,10,55,8,1,10,4,8,1,18,1,14,3,18,1,8,4,10,93,8,16,10,57,18,3,8,1,10,3,8,3,10,75,9,1,10,20,8,1,10,1,8,2,18,1,8,1,10,9,8,2,10,2,8,2,10,2,8,2,10,11,9,1,8,2,10,18,8,3,9,1,10,6,9,2,8,1,9,1,10,5,9,2,8,1,9,1,10,10,9,1,8,6,9,1,10,5,9,1,8,3,10,1,8,18,15,1,8,44,9,1,8,8,9,4,8,5,9,7,8,1,10,2,8,7,18,1,9,2,18,1,10,10,9,2,10,3,9,2,10,6,8,1,18,1,4,8,10,1,9,1,18,2,9,7,8,7,9,3,8,3,9,2,8,3,9,1,8,2,18,2,8,1,10,2,9,3,8,4,10,12,4,12,10,8,9,2,18,7,9,5,8,5,9,3,10,5,9,2,8,3,9,1,10,4,9,1,8,8,18,2,8,1,9,1,10,3,9,2,8,4,9,5,8,2,9,1,8,1,18,2,8,2,18,2,8,3,18,5,4,4,19,3,4,20,19,5,4,24,19,2,4,2,18,1,3,1,18,3,10,7,8,6,9,1,10,5,9,1,8,2,15,1,14,1,17,1,16,2,17,5,16,6,17,1,16,6,17,1,14,1,7,1,8,1,14,2,18,2,3,3,18,1,4,12,19,7,4,2,3,1,18,8,14,2,3,5,14,1,15,2,14,3,16,12,3,1,4,2,19,4,4,37,18,5,3,8,18,2,4,2,19,2,4,132,19,10,4,64,19,16,4,22,19,4,4,2,18,1,3,2,16,6,3,2,4,1,19,5,4,825,},
{4,694,19,4,4,1,3,2,16,3,3,10,18,2,4,1,18,1,3,7,16,1,3,1,16,13,3,2,10,10,3,1,16,11,3,1,18,1,3,1,16,3,3,1,18,1,10,2,18,1,10,3,18,2,10,5,18,2,9,1,10,29,8,3,10,16,8,8,10,2,8,2,18,1,8,1,10,5,8,1,10,35,18,1,10,8,18,2,10,4,8,3,10,76,8,1,18,1,14,3,18,1,8,3,10,94,8,4,9,3,8,9,9,1,10,38,8,1,10,17,8,1,18,2,8,1,10,3,8,2,10,72,9,4,10,21,8,1,10,2,8,3,10,9,8,2,10,2,8,2,10,2,8,2,10,11,8,2,9,1,10,8,8,2,10,3,8,2,10,3,8,3,10,17,9,1,8,1,10,12,9,1,8,7,10,6,9,1,10,3,8,62,9,1,8,8,9,1,8,8,9,3,8,1,9,2,8,2,9,1,10,1,8,2,9,2,8,2,18,2,9,3,10,10,9,3,10,10,9,1,18,2,4,7,10,1,9,1,18,2,9,2,10,3,9,3,8,5,9,4,8,7,9,1,10,2,8,1,18,2,9,1,10,4,9,1,8,4,10,12,4,6,18,2,10,13,9,2,18,3,9,6,10,2,8,7,9,5,8,4,18,1,8,1,9,1,10,1,9,1,10,3,8,3,9,1,8,4,18,3,8,11,9,1,10,1,9,1,8,5,18,2,8,7,18,6,4,4,19,7,4,6,19,1,4,1,19,1,4,5,19,5,4,28,18,2,3,2,18,1,10,7,8,1,15,3,8,3,10,6,8,3,15,1,14,2,17,3,6,1,17,4,16,13,14,2,15,1,14,2,18,2,3,4,4,13,19,6,4,2,18,5,3,1,18,4,3,6,14,1,18,3,15,1,14,1,16,11,3,1,18,1,4,1,19,4,4,40,18,2,3,4,14,2,18,2,3,2,18,2,4,135,19,10,4,64,19,16,4,22,19,2,4,3,18,1,3,3,16,6,3,2,18,1,4,830,},
{4,694,19,4,4,1,3,2,16,3,3,11,4,4,3,9,16,2,3,2,16,9,3,1,18,1,10,6,18,2,10,1,3,1,16,3,3,2,16,6,3,1,16,5,3,1,8,1,10,7,18,1,10,5,18,2,10,8,8,3,10,19,18,1,8,1,10,17,8,7,10,3,8,2,18,1,8,1,10,38,18,3,10,15,18,2,8,1,10,33,8,2,10,41,8,1,18,1,14,2,15,1,18,1,8,3,10,94,8,3,10,5,9,1,8,8,9,1,10,36,9,1,8,2,10,16,8,1,18,2,10,54,9,1,8,1,10,23,8,2,9,1,10,21,8,1,10,1,8,3,10,5,8,2,10,22,8,4,10,9,8,2,10,3,8,2,10,3,8,3,10,18,8,1,9,1,10,12,9,1,10,1,8,6,10,4,9,1,8,2,9,1,8,33,15,3,8,30,15,1,8,13,9,3,8,2,9,2,8,2,9,2,8,3,10,2,8,1,18,2,9,3,10,10,9,3,10,9,9,3,18,1,4,7,10,1,18,3,9,1,10,7,9,3,8,4,9,2,8,3,18,2,8,1,10,5,8,2,10,3,9,1,10,2,8,3,9,1,10,12,4,6,18,3,10,13,9,1,18,3,9,9,8,17,9,1,10,1,9,2,10,1,9,1,8,2,9,1,10,1,8,4,18,5,8,10,9,1,8,4,18,2,8,11,18,3,4,4,19,8,4,4,19,6,4,4,19,2,4,30,18,1,3,2,14,1,15,1,8,1,10,7,8,1,15,1,14,2,15,1,8,1,10,4,9,2,8,1,15,5,14,8,17,2,16,3,17,1,16,6,14,1,17,1,14,4,3,1,18,1,3,4,18,1,4,23,18,1,3,2,18,1,4,3,18,7,3,1,18,5,3,1,16,9,3,1,18,1,4,1,19,5,4,41,18,1,3,4,14,2,18,6,4,137,19,3,4,1,19,1,4,1,19,1,4,77,19,3,4,23,19,2,4,2,18,1,3,7,16,2,3,3,18,1,4,830,},
{4,694,19,4,4,1,18,1,3,1,16,4,3,4,16,4,3,2,18,1,4,4,3,2,18,1,3,10,16,9,3,1,18,1,10,7,18,1,3,5,16,11,3,2,18,1,8,1,10,6,18,1,10,6,18,1,10,1,18,1,10,6,18,3,8,1,10,19,18,1,9,1,10,19,8,4,10,5,8,2,10,39,18,1,10,8,18,2,10,7,8,3,10,75,8,1,18,1,14,2,18,1,8,4,10,9,8,1,10,11,8,1,10,73,9,3,10,7,9,1,8,7,9,1,10,34,9,1,8,3,10,17,8,2,10,54,8,1,18,1,10,5,8,1,10,17,8,1,18,1,9,1,10,11,8,6,10,4,8,4,10,6,8,4,10,7,8,2,10,11,8,3,10,9,8,1,18,2,10,2,8,3,10,3,8,1,18,1,8,1,10,18,8,4,9,1,10,8,9,2,10,2,8,5,9,1,10,3,8,12,15,1,8,23,15,4,8,4,15,1,8,25,15,1,8,12,9,3,8,3,9,1,8,1,18,2,8,5,10,2,9,1,18,2,9,1,10,1,9,1,10,9,9,3,10,9,9,1,8,1,9,2,4,8,18,4,10,10,9,1,8,1,18,3,8,1,9,2,8,2,18,1,8,2,10,5,8,2,10,2,9,1,8,1,10,3,9,1,10,16,18,7,9,1,10,11,9,2,18,9,9,3,10,1,9,1,8,2,18,1,8,5,18,1,8,4,9,2,10,2,8,2,9,2,8,1,9,1,10,2,9,1,8,5,18,4,8,5,18,2,8,13,9,2,8,3,9,1,10,1,4,8,19,7,4,4,19,6,4,35,18,1,3,3,14,1,18,1,8,1,10,7,8,1,15,1,14,2,15,1,8,1,10,3,8,4,14,3,15,1,8,3,7,3,14,9,16,5,14,1,7,1,14,2,15,1,14,1,3,4,18,2,4,26,18,2,4,10,18,1,3,3,18,4,16,5,17,1,14,1,3,1,16,1,3,1,18,1,4,2,19,4,4,42,18,1,3,3,14,3,18,3,4,249,19,4,4,1,18,1,3,1,18,4,3,7,18,1,4,829,},
{4,694,19,4,4,1,18,1,3,1,16,4,3,2,16,8,3,1,4,4,18,3,3,7,18,2,3,1,16,10,3,1,18,4,10,2,18,1,3,3,18,2,3,1,16,9,3,3,18,5,10,11,18,2,10,6,18,4,8,1,10,2,8,1,18,1,8,1,10,14,18,1,9,1,10,5,18,1,10,71,18,3,10,8,8,2,10,74,8,2,18,1,14,2,18,1,8,2,10,6,8,3,10,14,8,1,10,71,8,3,9,1,10,9,9,3,10,1,9,1,8,2,9,1,10,34,8,4,10,17,8,1,18,1,8,1,10,48,8,2,10,3,18,1,8,1,10,5,8,1,10,17,8,2,10,13,8,4,10,5,8,2,10,8,8,4,10,7,8,2,10,3,8,1,10,7,8,3,10,9,8,1,18,1,8,1,10,3,8,2,10,3,8,2,10,4,9,1,10,7,8,3,10,4,8,1,9,1,8,6,10,9,8,5,9,1,8,1,9,1,8,14,15,2,8,21,15,4,8,22,15,4,8,3,15,2,8,12,9,3,8,3,9,2,8,7,10,1,8,2,18,1,9,1,10,2,9,1,10,6,9,1,10,2,9,2,10,7,9,1,10,2,9,1,18,1,9,1,10,1,4,8,18,3,9,1,10,11,9,1,8,1,18,2,8,1,9,2,10,1,8,3,9,1,10,5,9,1,8,1,10,3,8,1,9,1,10,12,9,1,18,4,9,1,18,4,9,3,18,1,9,1,10,11,9,2,18,3,8,2,18,2,8,1,9,3,10,3,8,8,18,3,8,1,9,1,10,3,9,1,8,2,9,4,10,2,9,1,8,7,18,2,8,5,18,3,8,6,18,2,8,1,9,1,8,2,9,1,10,1,9,1,8,2,9,1,4,8,19,9,4,3,19,6,4,35,3,4,18,1,8,2,10,6,8,2,15,3,8,2,10,4,9,1,8,2,14,3,15,1,8,3,7,1,14,6,17,1,14,3,15,1,14,1,16,4,15,1,8,1,15,3,14,1,3,4,4,41,18,4,4,2,18,1,3,2,16,3,3,4,18,1,4,3,19,4,4,43,18,2,3,4,18,2,4,251,19,3,4,7,18,2,3,6,18,1,4,828,},
{4,694,19,4,4,1,18,1,3,1,16,3,3,2,16,5,3,1,16,4,3,1,4,4,18,1,3,5,18,1,3,1,18,3,3,1,16,9,3,3,18,2,4,3,18,5,3,1,16,8,3,1,18,1,4,2,18,1,3,3,18,2,10,11,18,1,10,5,8,1,18,3,8,1,10,4,18,1,14,1,18,2,10,13,18,2,10,8,8,2,10,8,8,1,10,6,8,2,10,50,18,4,10,6,8,1,18,1,8,1,10,51,8,2,10,21,8,3,18,1,14,2,18,1,10,8,8,2,10,83,8,1,10,2,8,3,9,1,10,72,18,2,14,1,18,1,8,1,10,19,8,2,10,24,8,2,10,2,18,2,8,1,10,57,8,2,10,2,8,2,10,6,8,2,10,2,8,3,10,7,9,1,10,4,9,2,10,4,9,2,10,15,8,1,10,7,8,3,10,4,9,1,10,2,8,5,9,1,10,7,9,1,8,2,10,4,8,17,15,2,8,13,15,3,8,4,15,3,8,20,9,1,8,2,15,5,8,2,18,1,15,1,18,1,8,7,18,2,8,2,9,1,10,1,9,5,10,4,8,3,10,1,8,2,18,2,9,1,10,2,9,1,10,6,9,1,10,2,9,2,10,6,9,1,18,2,8,1,18,1,8,1,18,1,9,1,4,8,18,1,9,1,10,16,9,4,10,2,8,2,10,2,9,2,10,2,9,1,10,6,9,1,10,6,9,1,8,1,9,1,8,2,18,4,9,3,18,2,9,1,10,17,9,1,8,2,18,2,8,2,9,1,10,6,9,1,8,1,10,3,9,1,18,2,8,2,18,2,8,1,9,1,10,2,9,1,8,3,9,1,10,3,9,1,8,11,18,1,8,4,18,3,8,3,9,1,10,1,9,1,18,3,8,1,9,2,8,2,10,1,9,1,18,2,4,5,19,13,4,2,19,6,4,33,18,1,3,3,14,2,15,1,8,2,10,5,8,5,10,9,8,1,14,3,7,4,6,1,16,3,17,3,16,3,14,1,15,2,14,1,16,2,14,1,15,1,8,2,18,2,3,5,4,1,19,3,4,44,18,1,3,7,18,1,4,3,19,4,4,46,18,1,3,3,18,2,4,8,19,1,4,241,19,5,4,7,18,5,3,3,4,828,},
{4,694,19,4,4,2,3,1,16,3,3,1,16,5,3,2,16,4,3,1,18,1,4,2,9,1,18,1,3,2,16,2,3,1,18,3,10,1,18,1,3,1,16,11,3,2,4,5,18,4,3,1,16,8,3,1,4,4,3,3,18,1,10,5,18,2,10,5,18,1,10,5,8,4,10,5,18,1,14,2,18,1,10,8,18,2,10,3,18,2,10,4,8,1,10,3,8,1,18,1,10,7,8,2,10,6,8,2,10,53,18,2,10,4,8,3,10,33,8,3,10,16,8,2,10,20,8,4,18,1,14,2,18,1,8,1,10,95,8,3,9,1,10,18,8,1,10,52,8,1,18,1,3,3,18,1,10,19,8,2,10,6,8,2,10,4,8,2,10,10,8,1,10,3,18,2,9,1,10,18,8,1,10,37,8,2,10,3,8,2,10,5,8,1,10,4,8,3,10,34,8,2,10,7,8,3,10,7,8,6,10,6,9,1,8,2,10,5,8,17,15,2,8,13,15,3,8,4,15,3,8,2,9,3,8,15,9,1,8,2,15,5,8,17,9,1,10,3,9,1,8,1,10,4,9,1,8,2,10,2,8,3,9,1,10,2,9,1,10,5,9,2,10,2,9,2,10,4,9,2,18,5,8,1,18,3,4,7,10,4,9,1,18,1,9,1,10,13,9,2,10,2,8,2,10,2,8,3,9,1,10,7,9,2,10,1,9,2,10,1,9,1,8,2,18,7,9,3,8,2,9,1,10,5,9,5,10,1,9,1,10,5,9,1,8,2,18,1,8,2,9,1,10,7,9,1,8,1,10,4,8,2,9,2,18,2,8,1,9,2,8,5,9,2,10,1,9,1,8,8,10,2,8,1,18,2,8,2,9,1,8,2,18,3,8,2,9,1,10,2,18,3,8,1,10,2,8,2,10,1,9,1,18,2,4,4,19,13,4,4,19,4,4,34,3,3,14,1,8,1,15,2,8,2,10,5,8,3,10,11,8,1,15,1,14,3,7,1,14,1,17,1,16,5,17,1,16,4,17,1,14,5,15,1,8,3,18,2,3,4,18,1,4,1,19,3,4,45,18,2,3,5,4,5,19,2,4,48,18,5,4,7,19,3,4,243,19,2,4,12,3,3,18,1,4,827,},
{4,700,3,1,16,9,3,2,16,4,3,1,18,1,4,1,10,2,18,1,3,2,16,2,3,1,18,2,10,2,18,2,3,1,16,11,3,1,4,5,18,1,3,4,16,8,3,1,4,4,18,1,3,2,18,1,10,3,18,5,10,4,18,1,10,13,8,2,18,3,8,1,10,7,18,6,8,1,10,14,8,1,10,1,8,1,18,2,8,2,10,4,8,1,10,5,8,3,10,88,8,1,18,1,8,1,10,38,8,1,18,1,8,2,18,1,14,2,18,1,8,5,10,30,8,1,10,61,8,2,9,2,10,70,8,1,14,1,3,1,16,1,3,1,14,1,10,16,8,1,10,1,8,3,10,6,8,2,10,4,8,2,10,14,18,1,8,1,10,18,8,2,10,37,8,2,10,9,8,2,10,41,8,2,10,10,8,2,10,5,8,6,10,7,8,2,10,5,8,18,15,2,8,6,15,2,8,11,15,1,8,4,9,1,10,1,9,1,8,11,15,2,8,5,15,4,8,3,10,2,8,7,9,4,8,2,9,1,10,3,9,1,8,1,9,1,10,4,8,2,10,3,8,1,9,2,10,2,9,2,10,4,9,2,10,2,9,2,10,3,9,4,8,1,9,3,18,4,10,11,18,2,9,1,10,13,9,3,8,1,18,2,8,4,9,1,10,8,8,1,9,4,10,1,9,1,8,4,18,4,9,1,10,2,9,10,10,4,9,1,8,2,9,2,8,7,9,1,10,8,9,1,8,1,10,8,9,3,8,11,9,3,8,3,10,4,8,1,18,3,8,1,10,2,9,1,8,1,18,4,8,1,10,2,8,4,10,1,9,1,8,5,18,1,4,4,19,6,4,48,18,1,3,1,16,1,3,1,14,1,8,1,15,2,8,3,10,9,8,1,10,7,8,3,15,1,14,3,17,2,16,14,14,2,8,3,18,2,14,1,3,3,18,1,4,1,19,4,4,48,18,4,4,58,18,3,4,4,19,5,4,257,3,3,18,1,4,827,},
{4,698,19,1,4,1,3,1,16,6,3,3,16,6,3,1,18,1,10,3,18,2,3,1,16,2,3,1,18,1,10,3,18,2,3,1,16,10,3,1,18,1,4,5,3,6,16,7,3,1,18,2,4,2,18,1,3,2,10,4,18,4,10,18,8,1,18,1,8,2,18,2,10,9,18,2,10,1,18,1,8,2,10,13,8,4,18,3,8,2,10,8,8,1,18,3,8,1,10,87,8,1,18,1,8,1,10,38,18,2,8,2,18,4,8,1,18,3,8,1,10,94,9,3,10,18,8,1,10,50,8,1,14,1,3,1,16,2,3,1,8,1,10,15,8,4,10,6,8,3,10,4,8,1,10,35,8,2,10,46,8,4,10,13,8,1,9,1,10,34,8,1,10,3,8,2,10,5,8,8,9,1,10,4,9,1,8,2,10,4,8,8,10,3,8,14,15,3,8,16,9,1,10,1,9,1,8,4,15,3,8,4,15,2,8,5,15,2,8,4,10,4,9,1,8,5,9,2,10,1,9,1,8,1,18,1,9,1,10,3,8,2,9,1,10,4,8,2,9,1,10,3,9,2,10,2,9,2,10,4,9,1,18,1,9,1,10,1,9,9,10,4,9,1,18,2,9,2,18,1,10,9,18,2,9,1,10,12,9,2,8,3,18,4,8,2,10,8,9,1,8,2,9,1,10,4,9,1,8,1,9,3,8,1,18,1,9,2,10,6,9,2,8,2,9,1,10,5,8,6,18,2,8,3,9,2,10,21,8,1,18,2,8,2,9,1,8,5,10,3,8,1,18,1,8,1,10,4,9,1,8,1,18,2,8,1,9,1,10,2,8,1,18,4,8,2,9,1,10,2,9,1,8,1,9,3,8,3,9,1,10,1,4,4,19,6,4,48,3,4,18,1,8,1,15,2,8,2,10,8,8,4,10,2,8,1,18,4,15,1,18,1,15,1,14,2,17,1,16,16,17,1,15,1,8,2,18,1,14,1,3,4,18,1,4,2,19,4,4,106,19,3,4,4,18,2,4,2,19,5,4,257,18,1,3,2,18,1,4,827,},
{4,697,19,3,3,1,16,5,3,4,16,6,3,1,18,1,10,1,8,2,10,2,18,1,3,3,10,4,18,2,3,1,16,10,3,1,4,5,18,1,3,6,16,7,3,7,18,1,10,4,18,2,10,4,18,2,10,13,8,1,15,1,14,1,18,3,8,1,10,9,18,1,10,2,18,1,8,2,10,13,8,1,18,1,8,1,18,5,8,2,10,7,18,4,8,2,10,87,8,1,10,31,8,1,10,7,8,1,18,1,10,2,8,5,18,3,8,1,10,95,9,3,10,17,8,1,10,1,8,1,10,8,9,1,10,40,18,1,3,1,16,2,3,1,8,1,10,15,8,4,10,6,8,3,10,41,8,1,10,46,8,4,10,7,8,1,10,4,8,3,9,1,10,32,8,2,10,3,8,2,10,5,8,2,9,1,10,2,8,4,10,5,8,2,10,4,8,8,10,2,9,1,8,14,15,1,8,19,9,1,10,1,9,1,8,3,15,3,8,4,15,2,8,9,9,1,10,7,8,5,9,4,8,1,9,1,10,3,9,4,10,3,8,1,18,1,8,1,10,3,9,2,10,2,8,1,9,1,10,3,9,1,8,2,10,2,9,7,10,7,9,2,10,1,9,1,18,1,10,9,9,1,18,1,9,1,10,10,9,1,8,11,10,9,8,2,9,1,10,6,9,5,8,1,18,1,9,1,10,1,9,2,10,4,8,3,10,6,8,6,18,2,8,7,10,8,9,2,10,4,9,1,10,4,9,1,18,3,8,1,9,4,8,1,9,1,10,2,9,1,8,1,18,3,8,1,10,4,8,1,18,3,8,2,18,7,8,1,10,2,9,1,8,2,9,1,10,1,9,1,18,2,10,2,18,1,4,3,19,5,4,49,3,3,14,1,8,2,14,2,8,1,10,8,8,2,18,6,3,4,14,4,17,1,16,17,3,1,18,1,8,1,18,1,14,1,3,4,18,1,4,1,19,6,4,106,19,5,4,5,19,6,4,258,18,2,4,828,},
{4,696,19,4,3,1,16,5,3,3,16,7,3,1,18,1,10,1,8,2,10,2,18,1,3,2,18,1,10,2,8,1,10,2,18,2,3,4,16,5,3,1,4,6,3,1,16,2,3,3,16,12,3,3,18,1,10,3,18,2,10,5,18,2,10,8,8,6,15,1,14,2,18,2,10,11,18,1,10,1,18,1,8,2,10,8,18,1,10,4,8,4,18,4,8,2,10,7,8,1,18,3,8,2,10,119,8,2,10,6,8,2,10,2,8,4,18,1,15,1,18,2,8,1,10,115,8,5,10,38,8,1,10,8,8,1,3,2,16,1,3,1,18,1,10,25,8,3,10,32,8,1,10,42,8,1,10,11,8,3,10,8,8,3,10,2,8,5,10,18,9,3,10,11,8,2,10,10,9,1,8,1,10,3,9,1,8,3,9,1,10,4,8,3,9,1,10,1,8,10,9,1,8,36,9,1,10,1,9,1,8,20,10,9,9,1,8,2,9,7,10,5,9,1,8,2,10,2,8,1,18,1,8,3,9,1,8,1,9,1,10,2,8,2,9,1,10,2,9,1,8,2,10,2,9,6,10,12,9,2,10,9,9,1,10,2,9,2,10,6,9,1,8,11,9,1,10,5,9,1,8,1,9,1,10,1,8,2,10,10,9,2,8,1,9,2,10,1,9,2,10,14,8,5,18,2,8,8,10,7,8,1,18,1,10,3,8,2,10,5,8,3,9,3,8,4,9,2,8,3,18,3,8,1,10,2,9,1,8,1,18,5,8,6,18,2,10,2,9,1,18,1,8,1,9,1,10,1,9,1,18,2,10,2,18,1,4,3,19,4,4,50,3,2,18,1,8,2,18,1,14,2,8,1,10,6,8,1,18,6,3,2,18,2,3,4,14,2,16,6,17,1,16,12,3,1,18,1,8,1,18,1,3,3,18,1,4,3,19,5,4,107,19,6,4,4,19,5,4,1089,},
{4,696,19,2,4,1,19,1,3,1,16,4,3,1,16,10,3,1,18,1,10,4,18,2,3,1,18,2,10,6,18,1,10,1,18,1,3,3,16,3,3,1,4,7,3,1,16,18,3,2,18,5,10,4,18,2,10,9,8,8,18,1,3,1,14,1,8,1,10,11,18,3,8,2,10,8,18,2,10,3,8,9,10,8,8,2,18,2,8,1,10,119,8,4,10,6,8,1,10,2,8,3,18,1,14,2,18,1,8,1,10,111,8,2,10,3,8,6,10,37,8,1,10,9,14,1,3,3,14,1,8,1,10,59,8,2,10,53,8,2,10,9,8,4,10,1,8,6,9,1,10,16,9,1,8,2,10,6,8,2,10,3,8,1,10,17,8,4,10,3,8,37,15,1,8,15,9,1,10,2,8,6,9,2,8,12,9,1,10,1,9,1,8,2,10,4,9,2,8,1,9,2,10,3,9,4,10,4,8,1,18,1,9,1,8,2,18,1,8,5,9,1,10,2,8,2,9,4,8,2,9,1,10,1,9,5,10,13,9,2,10,12,9,2,10,6,8,1,18,1,8,5,10,3,9,2,10,5,8,4,9,2,10,11,9,2,18,1,9,2,10,2,9,1,10,15,8,11,18,2,8,2,10,6,8,1,18,1,8,3,18,2,8,1,10,7,9,1,8,2,18,5,8,2,10,3,18,3,8,2,18,5,9,3,8,1,18,2,9,2,18,2,9,2,8,1,18,1,8,1,10,3,18,2,10,1,9,1,18,1,4,56,18,1,3,2,8,2,18,1,14,3,15,1,8,1,10,4,8,1,18,1,14,1,3,2,18,5,4,3,18,3,3,1,16,8,17,1,16,11,14,1,18,2,3,2,18,2,4,3,19,5,4,108,19,14,4,1090,},
{4,699,3,1,16,4,3,2,16,9,3,2,18,1,10,4,18,3,10,11,3,3,16,2,3,2,4,6,3,2,16,17,3,3,18,3,10,6,18,2,10,8,8,10,18,2,10,4,8,1,18,1,8,1,10,6,18,3,8,1,10,32,8,2,10,45,8,1,10,74,8,4,10,10,8,2,18,1,14,1,18,1,8,1,10,112,8,2,10,3,8,6,10,47,8,1,14,1,3,3,18,1,8,2,10,51,9,1,10,4,8,1,18,1,8,1,10,52,8,2,10,6,8,2,10,2,8,3,10,3,8,5,9,4,10,13,8,2,10,7,8,2,10,22,9,1,8,4,10,1,8,36,15,2,8,11,15,2,8,3,10,2,9,1,8,4,10,3,8,18,10,3,9,4,10,4,9,1,8,2,9,1,10,4,8,1,18,1,8,1,9,1,8,7,9,1,10,2,8,3,9,2,8,3,10,2,9,4,10,12,9,11,10,5,9,3,10,5,8,1,18,1,8,3,9,2,10,3,9,2,10,5,8,3,9,1,10,12,9,2,8,1,18,1,9,1,10,12,8,6,10,1,8,10,18,2,15,1,18,1,8,2,9,1,10,4,8,1,18,1,8,2,18,3,8,1,10,7,9,1,8,9,10,3,9,1,8,2,18,6,8,1,9,3,18,3,9,2,18,2,8,2,18,2,9,1,10,3,8,1,18,1,9,1,18,1,4,57,18,1,3,1,18,1,10,2,18,1,14,4,18,1,8,3,18,3,3,2,18,2,4,9,18,1,3,1,16,8,17,2,16,9,3,1,14,1,18,4,4,3,19,7,4,108,19,14,4,1090,},
{4,698,18,1,3,1,16,4,3,2,16,9,3,2,18,1,10,2,8,2,10,1,18,1,10,4,18,6,10,1,18,1,3,2,16,3,3,2,4,5,18,1,3,1,16,17,3,1,18,1,10,1,18,3,10,2,18,1,10,12,8,3,10,3,8,4,10,2,8,1,10,5,18,3,10,2,18,7,10,84,8,1,10,70,8,4,10,10,8,1,18,3,8,1,10,113,8,1,10,5,8,6,10,47,8,1,14,1,3,2,18,1,8,2,10,50,8,2,9,1,10,3,8,4,10,47,8,1,10,3,8,2,10,6,8,2,10,2,8,3,10,5,8,2,9,1,10,1,9,1,8,2,9,1,10,11,9,1,8,1,9,1,10,6,8,1,18,1,8,1,10,17,9,1,10,6,8,3,9,1,8,36,15,2,8,11,15,3,8,2,10,3,8,4,10,2,9,1,8,22,9,1,10,6,8,1,18,1,8,1,10,5,8,3,9,1,10,2,8,1,18,1,8,4,10,2,8,7,9,1,10,2,9,3,10,12,9,1,18,2,9,1,8,2,9,1,10,4,9,1,10,6,9,2,10,5,9,1,8,1,10,7,9,1,8,3,10,4,8,2,9,1,10,6,9,1,8,1,10,3,9,4,8,2,9,1,10,5,8,1,10,6,8,9,18,1,8,7,18,3,8,5,9,1,10,1,9,1,8,4,18,3,8,1,10,2,8,2,10,2,9,2,10,7,9,1,8,3,10,4,9,1,18,4,8,1,9,3,18,4,9,3,18,4,9,2,10,2,9,1,8,1,18,1,4,59,18,1,3,1,18,1,10,1,8,1,10,1,18,1,3,5,18,7,4,12,3,1,16,9,17,4,16,6,14,2,18,3,4,1,19,6,4,116,19,9,4,70,19,1,4,1020,},
{4,699,3,3,16,2,3,2,16,7,3,3,18,2,4,1,10,1,8,2,10,3,8,2,10,1,3,4,18,1,10,2,18,1,3,1,16,3,3,1,18,1,4,6,3,2,16,2,3,2,16,12,3,1,18,1,10,4,18,1,10,1,18,3,10,10,8,4,10,4,8,2,10,8,8,1,18,2,8,1,10,2,18,6,8,1,10,83,8,2,10,85,8,3,10,44,8,1,10,46,8,2,10,21,8,1,10,5,8,5,10,49,8,1,14,1,3,1,14,1,18,3,8,3,10,46,8,3,10,3,8,2,18,2,8,1,10,45,8,2,10,4,8,1,10,23,9,1,8,3,9,1,8,1,9,3,10,3,9,4,10,7,8,1,18,1,8,1,10,6,8,3,10,3,9,1,10,4,8,2,10,5,8,4,9,1,8,4,10,1,8,30,15,2,8,11,15,3,8,2,9,1,10,1,9,1,8,4,10,2,8,14,15,2,8,6,9,1,10,6,9,1,18,2,9,1,10,4,8,3,9,1,10,3,8,1,18,1,8,5,10,1,8,7,9,1,10,2,8,1,9,1,10,13,9,1,18,2,8,3,10,13,8,1,10,14,8,4,9,1,10,3,9,2,10,7,8,2,10,3,9,4,8,2,9,1,10,5,8,1,10,5,8,9,18,2,8,2,10,1,9,1,8,13,9,3,8,2,18,3,8,8,9,1,10,9,9,1,8,1,9,1,10,3,9,2,10,4,9,1,18,8,9,1,18,4,9,1,10,1,9,2,18,3,4,59,18,3,10,1,8,1,10,1,18,2,3,4,18,4,4,15,3,1,16,10,17,4,16,4,17,1,14,2,18,3,4,1,19,6,4,116,19,6,4,1094,},
{4,700,18,1,3,2,16,1,3,2,16,7,3,2,18,4,10,4,4,1,10,2,8,1,10,1,3,4,18,1,10,2,18,1,3,1,16,3,3,1,4,6,18,1,3,6,16,12,3,2,18,2,10,2,18,1,10,9,18,1,10,5,8,3,10,3,8,3,10,8,8,1,18,1,8,1,10,3,18,3,10,2,18,1,8,1,10,28,8,1,10,54,8,2,10,85,8,2,10,44,8,2,10,46,8,2,10,21,8,2,10,5,8,4,10,50,14,1,3,4,14,2,18,2,8,1,10,16,8,2,10,9,8,3,10,10,9,1,10,5,9,2,10,4,8,2,18,1,8,1,10,45,8,1,10,5,8,2,10,11,8,1,10,11,8,6,9,6,8,1,9,1,10,8,18,2,8,1,10,6,8,4,10,1,8,2,10,3,8,3,10,5,8,4,10,1,8,2,9,1,10,3,8,13,9,1,10,1,8,15,15,1,8,16,9,3,8,20,15,2,8,4,9,1,10,8,9,1,18,1,8,1,10,4,8,1,18,1,8,1,9,1,10,4,8,1,18,1,8,5,10,1,8,7,9,3,8,2,10,14,18,3,8,2,10,13,9,1,10,14,8,4,9,1,10,3,9,2,10,4,9,1,10,1,9,1,8,2,10,4,9,3,8,2,9,1,10,5,9,1,10,1,9,1,8,4,10,5,8,3,18,1,8,2,9,1,10,2,9,1,8,12,9,1,10,2,8,1,18,3,8,5,9,2,10,15,9,3,10,7,18,12,9,1,10,1,9,2,18,4,4,4,19,4,4,52,18,2,10,3,18,6,4,19,18,1,16,4,17,2,16,5,17,2,16,5,14,4,18,2,4,1,19,6,4,1216,},
{4,701,18,1,3,4,16,7,3,1,18,4,4,2,10,5,8,2,10,1,3,2,16,1,3,1,18,1,10,2,18,1,3,1,16,3,3,1,4,5,18,1,3,2,18,3,3,2,16,12,3,3,18,1,10,11,18,2,10,11,8,3,10,17,18,1,10,17,18,1,10,13,8,2,10,53,8,1,10,132,8,2,10,37,8,1,10,9,8,1,10,6,9,3,10,12,8,1,10,60,18,1,3,7,14,1,18,1,10,16,8,2,10,9,8,3,10,10,9,2,10,11,8,3,10,52,8,1,10,12,8,1,10,10,9,1,8,1,9,1,8,1,9,5,8,3,9,1,10,8,8,1,18,2,10,7,8,3,10,2,8,2,10,1,9,1,8,3,9,1,10,6,8,2,9,1,10,1,9,1,10,6,8,2,9,2,8,7,9,1,10,2,9,1,8,9,15,1,8,36,9,2,8,6,15,2,8,3,9,1,10,9,9,1,8,1,9,1,10,3,9,1,18,2,8,1,9,1,10,4,8,2,10,2,8,3,10,1,8,7,9,2,8,3,9,1,10,13,9,1,18,1,8,3,10,9,9,3,10,18,9,3,10,2,9,1,8,2,9,1,10,2,8,5,10,5,9,2,8,3,9,1,10,7,9,1,8,3,9,1,10,5,8,2,18,2,8,2,9,1,10,2,9,2,8,2,9,4,8,2,9,2,8,2,10,2,8,1,18,2,8,1,9,2,8,2,10,2,9,2,10,3,9,1,8,3,10,7,8,1,18,2,9,1,10,7,18,10,8,1,9,4,18,4,4,3,19,5,4,52,18,1,3,1,18,1,8,2,18,3,4,4,19,2,4,16,18,1,3,1,16,3,17,4,16,9,17,1,14,4,18,2,4,1,19,6,4,1216,},
{4,702,18,1,3,3,16,6,3,2,18,1,10,1,18,2,10,3,8,6,10,1,3,2,16,2,3,1,18,1,4,2,3,2,16,2,3,1,4,5,3,2,18,1,4,2,18,1,3,1,16,14,3,2,18,1,10,21,8,1,10,1,8,4,10,17,18,2,10,30,18,2,10,131,8,3,10,3,8,1,10,48,8,2,10,36,8,3,10,15,9,7,10,68,8,1,14,1,3,7,14,1,18,1,8,1,10,15,8,2,10,9,8,3,10,24,8,1,10,78,8,1,9,2,8,1,9,3,8,4,9,1,10,8,8,1,18,2,10,7,8,3,10,5,9,1,8,3,10,7,8,2,10,9,8,2,9,1,10,1,9,1,8,7,9,1,8,6,9,1,10,2,8,38,9,3,8,7,15,1,8,3,10,7,9,6,10,3,9,1,18,2,8,1,9,1,10,4,8,2,10,2,8,3,10,2,8,12,9,1,10,11,9,3,10,12,8,1,18,1,8,1,10,6,9,2,8,5,10,7,9,1,10,1,9,1,8,4,9,2,8,3,10,6,9,3,8,2,18,1,8,1,9,1,10,6,9,1,8,2,9,1,10,6,9,1,8,1,18,2,8,2,9,8,8,5,10,2,8,2,9,2,8,1,18,2,8,1,9,2,8,2,10,2,8,3,9,3,8,2,9,1,10,6,9,1,18,4,9,1,10,5,4,7,18,12,4,3,19,6,4,52,18,1,3,2,18,4,4,3,19,4,4,17,3,1,16,6,17,1,16,9,14,4,3,2,18,1,4,1,19,5,4,200,19,5,4,1012,},
{4,704,18,1,3,1,16,6,3,1,18,2,10,6,8,6,18,1,3,2,16,1,3,2,18,1,4,3,3,4,4,5,3,2,4,3,3,2,16,3,3,1,16,10,3,1,18,1,10,21,8,3,10,15,18,2,10,35,8,1,18,2,8,1,10,1,8,2,10,37,18,2,10,87,8,4,10,2,8,2,10,86,8,2,10,14,9,3,10,1,9,7,10,66,8,1,18,1,14,1,3,3,14,4,8,2,10,11,8,2,10,2,8,1,10,9,8,3,10,12,9,2,10,89,8,1,9,1,10,2,9,3,8,5,10,8,9,1,18,2,8,1,10,16,8,2,10,12,9,1,10,7,9,2,10,1,9,1,8,13,9,1,10,4,8,9,15,2,8,21,15,3,8,2,9,3,8,10,9,1,10,6,9,2,18,1,9,3,10,3,9,2,10,2,8,2,10,3,9,1,8,2,10,2,8,3,10,2,8,10,18,2,8,1,9,1,10,4,9,2,10,3,9,2,10,7,8,3,10,4,8,1,18,1,8,1,10,6,9,3,8,4,10,7,9,3,8,4,9,2,8,2,10,7,8,1,9,2,8,4,9,11,10,6,9,1,8,1,18,1,8,5,9,5,8,5,9,1,10,1,9,1,8,4,18,1,8,2,9,1,10,1,9,1,8,2,9,2,8,1,18,1,8,4,9,1,10,7,9,1,8,1,18,5,10,5,4,8,18,2,9,2,18,4,10,1,4,5,19,6,4,53,18,4,4,4,19,5,4,17,18,1,3,1,16,15,14,1,15,2,14,1,3,2,18,1,4,1,19,4,4,200,19,6,4,1012,},
{4,706,3,1,16,4,3,2,18,1,10,6,8,6,10,1,18,1,3,6,4,11,18,2,4,4,3,6,16,9,3,1,18,1,10,1,18,1,10,1,18,1,10,7,18,2,10,8,8,1,18,2,8,1,10,4,8,3,10,9,18,2,10,7,8,1,18,1,10,14,8,2,10,9,8,1,18,2,8,1,10,1,8,2,10,37,18,2,10,87,8,5,10,1,8,1,10,87,8,2,10,1,8,3,10,2,8,2,10,3,8,3,9,2,10,4,9,5,10,19,8,2,10,37,8,1,10,9,8,1,14,3,18,4,8,1,10,11,8,3,10,2,8,1,10,10,8,1,10,13,8,1,18,1,8,1,10,33,4,17,18,1,4,16,10,16,8,1,10,4,8,2,10,2,8,1,9,3,8,3,9,1,10,8,8,1,18,2,8,1,10,4,18,2,10,10,8,2,10,11,8,1,9,1,10,7,8,18,10,6,8,2,10,3,8,2,15,2,8,21,15,3,8,3,9,1,8,10,10,1,9,2,18,1,4,4,18,6,4,1,18,1,4,4,10,1,9,1,8,1,9,1,10,1,9,1,8,2,9,1,10,2,8,3,10,3,8,9,18,2,8,1,9,2,10,2,9,1,18,2,9,1,10,1,9,3,10,7,8,3,10,4,18,2,10,6,9,2,10,3,8,3,10,2,8,1,10,3,9,1,8,1,9,1,10,15,8,8,9,3,8,4,9,3,10,6,9,2,8,3,18,4,8,1,9,1,10,2,9,2,8,1,18,1,8,1,9,2,8,3,18,3,8,1,9,1,10,3,9,1,8,1,18,2,8,3,18,3,8,1,9,1,10,5,9,1,8,2,18,6,10,5,4,8,18,2,9,1,18,3,4,8,19,6,4,58,19,8,4,17,18,1,3,1,16,9,17,2,16,4,14,1,8,1,15,1,14,1,3,2,18,1,4,1,19,4,4,200,19,5,4,1013,},
{4,706,3,1,16,3,3,1,18,3,10,1,8,2,10,3,8,2,10,2,8,2,10,1,18,2,3,5,18,1,4,9,18,2,4,4,18,1,3,6,16,9,3,2,10,2,18,2,10,7,18,1,10,9,18,2,8,1,10,5,8,1,15,1,18,1,10,18,18,2,10,12,8,4,10,10,18,2,10,40,18,4,10,86,8,2,18,1,8,3,10,88,8,2,10,1,8,3,10,2,8,2,10,3,8,4,9,1,10,67,8,1,10,10,8,1,18,1,8,2,18,2,8,1,10,13,8,1,18,1,8,1,10,26,8,3,10,32,4,36,10,25,9,2,8,1,18,1,8,1,9,1,10,8,8,4,10,5,8,2,10,10,9,1,10,12,8,1,9,1,10,6,9,2,10,2,8,5,9,1,8,11,9,1,10,8,8,2,15,2,8,20,15,4,8,13,9,1,10,1,8,1,9,1,4,18,10,1,9,2,8,4,9,1,10,3,8,1,10,3,8,13,18,1,9,11,10,8,8,3,10,3,8,2,10,6,9,2,10,4,8,1,10,3,8,2,10,2,9,2,10,15,9,1,8,7,9,5,8,3,9,1,10,5,9,3,8,6,18,3,8,1,9,1,10,2,9,1,8,4,9,2,8,1,18,1,8,1,18,3,8,1,9,1,10,3,8,2,18,3,8,3,18,2,8,1,10,5,9,1,8,1,18,3,8,1,18,2,8,1,9,5,10,1,4,8,10,1,9,1,10,1,18,2,4,3,19,2,4,4,19,6,4,57,19,9,4,17,18,1,3,1,16,9,17,2,16,4,14,1,15,1,14,1,3,2,18,1,4,2,19,4,4,200,19,4,4,3,18,3,4,16,19,7,4,985,},
{4,705,18,1,3,1,16,1,3,2,18,4,8,4,10,1,8,3,10,1,8,3,10,1,18,1,10,1,3,1,16,3,3,4,18,1,4,13,3,5,16,11,3,4,18,1,10,13,18,2,10,1,8,1,18,1,8,1,10,4,8,1,18,3,8,1,10,3,18,1,10,3,18,1,10,10,18,1,10,7,8,3,10,3,18,2,8,1,10,1,8,1,10,52,18,4,10,3,18,1,10,80,8,2,18,4,8,1,10,88,8,3,10,1,8,1,10,3,8,2,10,1,8,3,10,1,8,4,10,81,18,2,10,14,9,1,18,2,8,1,10,17,9,1,10,14,9,1,10,27,4,11,19,7,4,18,10,22,8,1,9,1,10,2,9,1,18,3,9,1,10,7,8,2,9,2,10,17,9,1,10,12,9,1,8,1,9,1,10,3,9,1,8,2,9,1,10,3,9,1,8,4,10,1,8,12,10,8,8,14,15,4,18,1,8,1,9,2,8,2,18,1,8,10,10,1,8,8,9,1,4,12,19,4,4,2,10,2,8,1,18,1,8,4,10,6,8,4,15,2,8,7,18,3,9,1,10,3,9,3,10,12,9,2,10,12,9,2,10,6,9,4,10,17,9,2,8,1,9,2,8,4,10,13,9,3,8,4,9,1,8,18,18,2,8,5,18,3,8,9,9,1,10,5,8,2,18,1,8,9,18,2,10,1,4,8,10,2,4,6,19,4,4,3,19,4,4,59,19,4,4,21,3,2,16,1,3,3,16,2,17,1,16,1,17,1,6,1,17,1,16,4,3,4,18,1,4,1,19,6,4,200,19,2,4,5,18,5,4,13,19,8,4,985,},
{4,705,18,1,3,1,16,1,18,1,10,2,18,2,10,1,8,8,10,1,8,3,10,3,18,1,16,3,3,5,4,13,18,1,3,4,16,14,3,1,10,9,18,2,10,4,18,1,10,1,8,2,10,4,8,1,18,1,14,2,18,1,10,4,18,1,8,1,10,2,18,1,10,15,8,7,10,1,8,1,18,2,10,56,18,2,10,78,8,2,10,4,8,4,18,3,8,1,10,88,8,3,10,4,8,1,10,1,8,4,10,3,8,3,10,81,18,2,10,1,8,2,10,3,8,1,10,7,9,1,18,2,8,1,10,12,8,1,9,1,10,2,9,1,18,1,9,1,10,3,9,1,10,7,8,3,10,27,4,5,19,1,4,1,19,11,4,7,19,4,4,7,10,7,8,1,10,17,9,2,18,2,9,1,10,7,9,1,18,1,9,1,10,14,8,6,9,1,10,1,8,1,9,1,10,8,8,2,10,4,8,3,9,2,10,2,9,1,8,17,10,1,9,1,10,5,8,6,15,1,18,1,8,7,15,4,18,1,8,5,15,1,8,9,10,3,8,5,18,3,4,11,19,5,4,2,10,2,8,1,18,1,9,1,10,1,8,4,10,4,8,6,10,3,8,4,18,3,9,1,10,4,9,2,10,13,9,2,10,12,9,3,10,2,9,2,8,4,9,1,10,9,9,5,10,2,8,3,9,2,8,1,18,1,8,1,9,1,10,6,9,2,10,5,9,1,8,5,9,7,8,9,9,1,8,3,18,1,8,2,9,2,8,2,18,3,8,7,9,3,10,4,9,1,8,2,18,1,8,8,18,3,10,1,4,7,10,3,4,5,19,5,4,91,18,1,3,1,16,1,3,3,16,1,17,7,16,2,3,4,18,1,4,2,19,5,4,201,19,2,4,3,18,14,4,5,19,10,4,984,},
{4,701,19,3,4,1,18,1,3,2,18,1,10,5,8,13,10,2,18,1,3,7,18,1,4,13,18,2,3,2,16,14,3,1,9,1,10,15,18,1,10,6,8,1,18,1,14,2,18,1,8,1,10,3,18,3,10,2,18,1,10,14,8,8,10,2,8,3,10,7,8,2,10,64,18,1,10,61,8,2,10,4,8,1,18,1,8,5,10,71,8,1,10,17,8,3,10,6,8,4,10,3,8,3,10,83,8,7,10,7,18,3,8,1,10,13,9,1,10,2,9,1,18,2,9,5,10,34,9,1,18,1,4,4,19,14,4,6,19,6,4,8,10,6,8,2,10,14,9,1,18,1,9,1,10,9,9,4,10,6,8,3,10,4,8,5,18,2,8,4,9,1,10,5,9,2,8,1,9,1,10,5,9,1,8,4,9,1,10,4,8,17,10,2,9,1,8,8,18,1,8,7,15,4,18,1,8,1,9,1,8,13,10,3,8,2,10,1,18,3,4,3,19,4,4,6,19,5,4,2,10,2,8,2,10,2,8,4,10,4,8,2,10,2,8,1,10,6,8,3,18,1,8,1,9,1,10,4,9,2,10,21,9,2,10,5,8,12,9,2,8,2,9,1,10,2,9,1,8,4,9,1,10,2,8,3,9,2,8,4,10,5,8,1,18,1,8,2,10,3,9,2,8,1,9,1,8,3,9,1,10,1,9,5,8,7,9,1,10,3,9,1,8,4,9,1,10,2,9,1,8,1,18,2,8,4,9,2,8,3,9,1,8,1,9,1,10,2,8,13,18,2,9,1,10,3,9,1,18,1,10,5,4,2,19,8,4,91,18,1,3,1,16,1,3,2,16,2,17,3,16,1,17,1,16,4,3,3,18,2,4,211,18,17,4,4,19,10,4,984,},
{4,700,19,4,4,2,3,2,18,1,8,1,10,5,8,12,10,1,18,3,3,3,16,1,3,1,18,1,4,9,18,2,4,4,18,1,3,2,16,14,18,1,10,16,18,1,10,6,8,1,18,1,14,2,18,1,10,5,18,1,8,1,10,4,18,3,10,10,8,8,10,2,8,3,10,3,8,2,10,2,8,2,10,2,8,2,10,60,18,1,10,61,8,2,10,4,18,3,8,1,10,73,8,2,10,52,8,1,10,66,8,8,10,3,9,1,18,5,10,17,9,1,18,2,9,5,10,34,9,1,18,2,4,3,19,14,4,6,19,6,4,8,10,1,8,1,10,5,8,1,10,14,9,2,10,10,9,3,10,7,8,13,18,3,8,3,10,3,9,1,8,3,10,10,8,2,9,1,10,4,8,11,10,1,8,16,18,1,8,7,15,1,8,20,10,1,8,3,4,7,19,4,4,6,19,4,4,3,10,1,9,2,10,4,8,3,10,15,9,1,8,2,9,4,10,4,9,2,10,20,9,2,10,5,9,1,8,6,18,2,8,4,18,2,8,4,9,1,8,4,9,1,10,2,8,3,9,3,8,3,9,1,10,3,9,1,8,1,18,2,8,1,9,1,10,7,9,2,10,2,9,5,8,4,18,1,8,2,9,1,10,4,8,4,10,4,9,1,8,5,9,3,8,4,18,1,8,1,10,2,8,1,18,1,8,11,18,3,9,2,18,4,9,1,10,3,4,2,19,8,4,92,3,4,16,2,17,2,16,7,3,2,18,2,4,212,18,2,15,1,18,5,8,1,18,5,14,1,18,3,4,3,19,10,4,984,},
{4,700,19,4,4,2,3,2,18,1,8,1,10,7,8,1,10,3,8,7,18,2,10,1,18,1,3,1,16,2,3,1,4,10,18,1,3,1,4,4,3,1,16,15,3,1,18,1,10,8,18,1,8,1,10,14,8,1,18,2,8,1,10,11,18,3,10,9,8,2,18,1,8,11,10,3,8,2,10,2,8,1,18,1,10,2,8,1,18,1,10,8,18,1,10,113,8,2,10,3,8,1,18,2,8,2,10,73,8,2,10,51,8,3,10,12,8,1,10,54,8,6,10,3,18,4,9,1,10,19,9,3,10,42,4,2,19,14,4,6,19,6,4,8,18,2,10,20,9,1,10,9,9,1,8,2,9,2,10,9,9,1,8,11,18,2,8,1,10,6,8,2,9,1,10,4,9,1,10,7,9,1,10,4,8,5,10,2,8,3,10,2,9,1,8,15,18,1,8,22,10,3,8,3,10,1,9,1,8,1,18,1,4,4,19,7,4,13,10,1,8,1,10,2,9,1,10,1,9,1,8,3,10,15,9,9,10,2,9,1,8,3,10,26,9,1,8,1,10,3,8,1,18,2,8,1,9,1,10,1,9,1,18,2,8,4,9,2,8,3,9,1,10,1,9,1,8,3,9,3,8,3,9,1,10,4,9,1,8,2,9,1,10,12,9,6,8,2,18,2,8,2,9,1,10,4,9,1,8,2,9,1,10,5,8,4,10,3,8,5,18,2,10,2,8,1,18,1,8,2,9,1,8,5,9,3,8,1,18,10,10,2,4,2,19,8,4,89,19,2,4,1,18,1,3,5,17,3,16,5,3,3,4,3,19,2,4,143,19,10,4,48,19,4,4,4,18,2,15,1,18,2,15,2,8,2,18,4,14,2,18,3,4,6,19,11,4,980,},
{4,700,19,4,4,2,3,2,10,1,8,1,10,11,8,7,18,2,10,2,3,1,16,2,3,1,4,10,3,2,18,1,4,3,3,1,16,15,3,1,18,4,9,1,10,2,18,4,10,19,18,1,10,10,18,1,10,10,8,4,10,4,8,7,10,2,8,2,10,2,8,2,10,2,8,1,18,1,8,1,10,7,18,2,10,26,8,2,10,88,8,6,10,125,8,4,10,61,18,1,4,6,9,3,8,3,10,1,18,5,10,21,9,1,10,43,4,4,19,12,4,10,19,2,4,8,18,2,10,29,8,1,18,3,8,1,10,2,9,5,10,4,8,6,10,2,9,2,8,1,18,2,8,1,10,6,8,2,10,4,8,2,9,1,10,7,9,1,10,2,8,5,10,3,8,4,10,1,9,1,8,11,9,1,8,14,9,3,8,2,9,4,8,2,10,5,8,4,18,2,4,2,19,10,4,12,10,1,8,1,10,2,9,1,8,1,9,2,10,22,9,5,10,1,9,1,8,3,10,32,18,2,8,1,10,3,8,2,9,1,10,1,8,1,9,1,10,2,8,2,10,3,9,1,8,4,9,1,10,1,9,1,8,2,9,2,10,5,9,1,8,1,9,1,10,9,9,8,8,3,18,2,8,2,10,4,9,1,8,3,10,5,9,1,8,2,10,3,9,1,8,1,18,1,8,3,18,1,8,1,10,2,9,1,8,1,9,3,8,5,9,3,8,1,18,11,10,1,4,2,19,7,4,89,19,4,4,1,3,5,14,3,17,1,16,3,3,3,18,1,4,2,19,3,4,142,19,12,4,46,19,6,4,2,18,2,14,2,15,2,14,1,15,1,18,2,15,2,18,2,14,2,18,6,4,10,19,4,4,980,},
{4,699,19,5,4,2,3,1,18,1,10,1,8,2,10,10,8,6,10,1,18,2,10,1,18,1,3,1,16,2,3,1,4,10,3,3,4,3,3,1,16,15,3,5,18,4,3,2,18,1,10,12,18,2,10,7,18,3,10,17,8,3,10,7,8,9,10,2,8,2,10,2,8,3,10,6,18,2,10,117,8,6,10,125,8,3,10,61,18,1,4,3,19,2,4,5,18,1,10,1,9,1,4,7,10,57,4,15,19,8,4,6,10,1,18,1,4,2,19,8,4,9,10,22,8,2,18,4,9,2,10,1,8,4,9,1,10,5,8,4,10,3,9,2,8,1,18,2,8,3,10,4,8,2,10,4,8,2,10,8,9,1,8,6,10,5,8,15,9,3,8,2,18,1,8,9,9,8,10,9,8,4,18,1,4,3,19,15,4,5,10,3,8,1,10,2,8,3,9,1,10,10,8,2,10,10,9,1,8,3,9,1,10,1,8,5,10,31,8,2,10,5,9,1,10,11,8,4,9,2,10,1,9,2,8,2,9,2,10,4,8,5,10,6,8,1,18,2,8,2,9,4,8,8,9,3,8,2,18,1,8,1,9,1,10,4,9,3,10,3,8,2,18,1,8,4,9,1,10,3,9,1,10,1,9,2,8,6,9,2,8,1,18,12,4,3,19,5,4,90,19,4,4,1,18,1,3,3,14,5,16,2,3,2,18,2,4,2,19,4,4,136,19,3,4,3,19,12,4,46,19,5,4,2,18,3,15,1,14,1,18,1,15,1,14,2,15,1,18,1,14,2,15,1,18,1,14,2,18,8,4,8,19,4,4,980,},
{4,698,19,7,4,1,18,2,8,3,10,5,8,4,10,2,8,4,10,5,18,1,3,1,16,1,3,1,18,1,4,10,3,1,16,1,3,2,4,2,3,2,16,14,3,1,16,3,3,2,18,1,10,1,18,3,10,2,18,1,10,10,18,3,10,7,18,3,10,17,8,1,10,9,8,6,10,16,18,2,10,111,8,1,10,6,8,6,10,125,8,1,10,1,8,1,10,61,18,1,4,2,19,7,4,11,10,57,4,16,19,6,4,7,10,2,4,2,19,12,4,6,10,19,9,1,18,4,8,3,9,3,8,6,9,2,8,4,10,5,9,1,8,2,18,2,8,4,10,2,9,1,8,2,9,1,10,13,8,4,15,1,8,2,10,5,8,8,9,1,10,2,9,1,8,2,9,1,10,2,9,1,8,12,9,7,10,9,8,1,9,1,18,3,4,4,19,15,4,5,10,2,9,1,8,1,9,1,10,3,9,3,10,9,8,5,10,7,9,1,8,3,9,1,10,1,9,1,8,3,10,21,9,1,10,10,9,2,10,17,8,5,9,1,10,2,9,2,8,2,9,2,10,3,8,1,18,4,9,1,10,5,8,1,18,3,8,4,9,1,8,12,18,3,8,1,9,2,8,3,9,1,10,3,9,1,8,6,9,1,10,6,9,3,8,8,18,6,8,1,18,6,4,3,19,4,4,90,19,4,4,2,3,2,18,2,14,4,3,3,18,1,4,3,19,5,4,135,19,5,4,3,19,10,4,47,19,4,4,3,18,2,15,5,14,2,15,2,14,2,15,1,18,1,15,2,18,15,4,1,19,4,4,980,},
{4,698,19,7,4,2,10,1,8,4,10,3,8,5,10,8,8,2,10,1,18,1,16,2,3,1,4,11,3,1,16,2,3,2,18,1,3,3,16,12,3,2,16,3,3,1,18,1,10,6,18,1,10,2,18,1,10,19,18,1,10,29,8,1,10,1,8,3,10,128,8,2,10,5,8,1,18,2,8,4,10,13,8,1,10,176,4,2,19,10,4,8,18,1,10,56,4,17,19,4,4,8,10,2,4,3,19,11,4,8,10,6,8,3,10,7,9,1,8,2,18,1,8,2,10,2,9,1,8,6,9,1,8,8,10,5,9,1,8,3,18,3,8,4,9,1,8,2,9,1,10,13,9,2,8,1,15,1,8,2,10,7,8,7,10,3,9,2,8,1,9,1,10,3,8,11,9,1,10,3,9,1,8,1,9,1,10,5,8,1,10,4,9,1,18,1,4,6,19,9,4,2,19,5,4,5,10,1,8,1,18,1,8,2,10,4,9,1,8,1,10,9,8,1,18,1,8,3,10,7,9,1,8,3,10,2,9,1,8,3,10,20,8,1,9,1,10,6,9,2,10,19,9,2,8,5,9,1,10,3,8,4,9,1,10,2,9,1,8,1,18,4,8,1,10,4,9,1,18,4,8,13,18,7,8,3,18,1,8,2,9,1,10,2,9,1,8,7,10,6,9,1,8,1,9,1,8,4,18,3,8,3,18,3,15,1,18,1,8,3,18,4,4,97,19,5,4,1,18,1,3,2,18,1,3,2,14,1,3,2,18,2,4,3,19,6,4,135,19,5,4,14,18,2,4,51,18,2,15,7,14,2,15,7,18,14,4,1,19,5,4,1,19,1,4,1,19,1,4,975,},
{4,698,19,7,4,1,10,1,8,5,10,2,8,7,10,7,8,2,10,1,3,1,16,2,18,1,4,10,18,1,3,1,16,4,3,3,16,12,3,3,16,4,18,1,10,5,18,3,10,1,18,1,10,52,8,2,10,7,8,1,10,120,8,1,10,6,8,1,18,2,8,3,10,14,8,2,10,175,4,2,19,10,4,9,10,56,4,35,19,10,4,8,10,5,8,4,10,4,8,1,10,2,8,5,10,4,8,5,10,2,8,3,18,2,8,2,10,7,8,4,18,2,8,4,9,1,10,2,9,2,10,11,9,3,8,4,10,7,8,7,9,1,10,2,9,2,8,1,9,1,10,3,9,1,8,10,9,1,10,3,9,2,8,1,9,1,10,2,8,3,10,4,18,1,4,6,19,9,4,3,19,4,4,5,18,2,15,1,18,2,8,1,9,1,10,3,9,1,8,1,9,1,10,8,8,3,9,2,10,7,9,1,8,3,10,3,8,3,10,20,8,1,9,1,10,6,8,1,18,1,8,1,10,4,8,2,10,10,8,4,9,2,8,3,9,2,10,2,9,1,8,3,9,1,10,2,9,1,8,1,18,1,8,4,9,1,10,3,9,1,8,1,18,2,8,15,18,5,8,2,18,4,8,1,10,2,9,1,8,1,18,1,8,2,10,1,9,1,8,2,10,6,9,1,8,4,18,6,9,1,8,2,18,3,8,5,18,3,4,97,19,6,4,1,18,3,3,1,18,4,4,3,19,7,4,46,18,3,4,86,19,5,4,4,18,10,3,4,18,1,4,43,18,8,15,1,8,1,15,6,14,1,15,11,18,1,15,1,18,8,4,2,19,9,4,974,},
{4,698,19,7,4,1,10,1,8,5,10,2,8,7,10,1,8,1,10,1,18,2,10,1,8,3,10,1,3,1,16,2,18,1,4,10,3,2,16,18,3,3,16,4,3,1,18,1,10,41,8,2,10,8,8,4,10,7,8,1,10,7,8,3,10,117,8,2,10,7,8,1,18,2,8,3,10,14,8,2,10,175,4,2,19,10,4,10,10,55,4,36,19,11,4,6,10,4,8,2,18,2,8,1,10,4,8,1,10,2,8,5,10,3,9,1,8,5,10,3,8,6,10,3,9,1,8,1,10,2,9,2,10,1,9,1,8,1,18,1,8,4,9,1,10,3,9,2,10,9,9,4,8,3,9,1,10,3,9,1,10,3,8,8,9,1,10,1,9,1,8,2,9,1,10,3,9,1,8,11,9,1,10,2,9,4,10,1,8,5,10,2,18,1,4,4,19,7,4,8,19,4,4,4,18,1,9,1,18,1,15,1,18,1,8,3,10,3,9,2,10,9,9,2,10,11,9,3,10,3,8,3,10,20,8,1,9,1,10,6,8,3,10,3,8,3,10,8,8,6,9,4,8,2,9,1,10,2,9,1,8,3,9,1,10,3,9,1,8,1,9,1,10,1,9,3,10,3,8,9,18,1,8,10,18,3,8,4,18,2,8,1,9,1,10,2,9,1,18,2,8,1,10,3,8,2,10,6,8,1,18,1,8,2,18,7,9,2,8,1,18,2,8,2,18,2,8,4,18,2,4,96,19,6,4,2,18,5,4,4,19,7,4,46,18,1,3,6,18,1,4,82,19,5,4,2,18,5,3,12,18,4,4,37,18,2,3,2,18,5,15,2,8,1,15,3,8,2,15,5,14,1,15,5,14,1,15,3,18,9,4,4,19,6,4,974,},
{4,698,19,7,4,1,18,1,8,5,10,2,8,9,10,1,18,2,10,1,8,3,10,1,3,1,16,1,3,1,18,1,4,10,3,1,16,18,3,4,16,4,3,1,10,1,18,2,10,1,18,1,10,36,18,2,8,1,10,8,8,1,18,3,8,1,10,10,8,4,18,3,8,1,10,61,8,1,18,1,8,1,10,52,8,2,10,7,18,3,8,1,10,16,8,2,10,175,4,2,19,10,4,10,10,53,4,31,19,3,4,7,19,8,4,6,10,2,9,2,8,5,10,4,9,1,10,2,8,15,10,2,8,5,10,4,8,2,10,2,9,2,10,2,8,6,9,1,10,4,9,1,10,3,9,2,8,2,9,2,10,1,9,2,8,3,10,2,8,5,10,2,8,13,9,1,10,3,9,1,8,2,9,3,8,6,9,2,10,4,8,7,10,2,4,3,19,8,4,9,19,4,4,3,18,1,10,1,9,1,18,2,8,4,9,1,10,2,9,2,10,60,9,3,10,2,8,3,10,8,8,6,9,1,10,2,9,1,8,3,9,4,8,2,9,1,10,2,9,2,10,4,9,2,8,1,9,1,8,3,9,3,8,4,18,1,8,5,9,4,8,1,18,2,8,2,9,2,8,4,10,3,9,1,18,2,8,1,10,3,8,2,10,2,8,2,10,2,8,1,18,1,8,2,18,7,9,2,8,12,18,1,4,97,19,5,4,10,19,8,4,45,18,2,3,7,4,82,19,4,4,2,18,1,3,3,14,2,3,5,14,2,3,8,18,6,4,18,18,4,4,3,18,2,4,4,10,1,9,1,18,1,14,4,18,3,15,6,8,1,15,6,14,1,15,4,14,5,15,1,18,6,14,1,18,1,4,4,19,6,4,162,18,1,3,1,4,810,},
{4,696,19,9,4,1,10,1,8,2,10,10,8,3,10,4,8,3,10,1,18,1,3,1,16,1,3,1,4,10,18,1,3,1,16,17,3,6,16,3,3,1,10,1,18,2,10,1,18,1,10,3,18,2,10,31,18,2,8,1,10,8,8,2,18,2,8,1,10,10,8,3,18,4,8,1,10,12,18,2,10,47,8,1,18,1,8,1,10,52,8,2,10,6,8,4,10,194,4,3,19,15,4,5,10,24,9,1,10,26,4,32,19,5,4,7,19,7,4,5,10,1,9,2,8,9,10,4,8,21,10,5,8,6,9,1,8,8,9,1,10,5,8,6,9,1,10,2,9,1,8,3,10,2,8,7,9,1,8,8,9,4,8,1,9,1,10,2,9,2,8,1,9,2,10,4,8,4,9,2,10,5,8,6,10,2,4,3,19,7,4,10,19,4,4,2,18,2,10,2,8,2,10,2,8,4,9,1,10,7,8,1,9,1,10,3,9,1,10,2,9,4,10,2,9,1,10,42,9,2,8,2,10,11,8,5,9,1,10,3,8,6,9,1,8,3,9,2,8,2,10,4,9,1,8,7,9,2,8,10,9,1,10,3,9,1,8,3,9,4,8,2,9,1,10,4,8,1,18,1,8,1,10,3,8,2,9,2,8,2,9,2,18,2,8,2,18,4,15,1,18,1,8,2,9,1,8,12,10,1,4,112,19,7,4,38,18,1,3,4,18,4,15,1,14,3,3,4,4,82,19,3,4,2,18,2,3,1,18,2,15,1,14,3,3,1,14,6,3,3,14,4,3,4,18,3,4,15,18,2,3,2,18,4,3,1,18,1,4,4,10,2,8,3,18,1,8,4,15,13,14,2,15,2,14,6,15,1,18,5,15,1,14,1,18,1,4,172,3,2,4,810,},
{4,696,19,9,4,1,10,1,8,1,10,17,8,1,18,2,8,1,18,1,3,2,16,1,3,1,4,10,18,1,3,1,16,17,3,7,16,2,3,1,10,7,18,3,10,31,18,2,8,1,10,9,8,4,10,5,8,1,10,4,8,4,18,3,10,14,18,1,10,3,18,1,10,43,8,2,10,53,8,1,10,7,8,2,10,196,4,3,19,15,4,4,10,1,8,1,10,50,4,32,19,6,4,7,19,7,4,4,10,1,9,3,10,4,8,4,10,4,8,13,18,1,8,7,9,3,8,19,9,1,10,2,8,14,10,2,8,10,10,3,8,3,9,6,10,2,9,2,8,1,9,1,10,6,8,3,9,2,10,5,8,6,10,2,4,2,19,6,4,13,19,1,4,4,18,1,9,2,8,3,10,3,8,3,9,1,10,2,9,1,8,2,10,2,9,1,10,3,9,2,10,2,9,3,10,2,9,3,10,5,8,3,10,1,9,1,8,2,10,29,9,1,8,3,10,11,8,5,10,4,8,2,18,1,8,6,9,1,8,5,10,3,9,1,8,6,9,4,8,9,9,2,10,3,9,1,8,3,9,3,8,2,9,1,10,4,8,2,9,1,10,3,9,1,8,1,9,2,8,1,9,3,8,1,18,1,8,2,18,4,15,2,18,1,8,6,10,1,8,5,10,3,4,113,19,2,4,41,18,1,3,1,16,3,3,2,18,3,15,1,14,4,3,2,18,1,4,86,18,2,14,2,15,3,14,6,15,4,14,13,18,11,4,3,18,3,3,2,14,2,15,1,18,1,14,2,18,4,10,4,8,8,15,15,14,8,15,5,14,2,18,1,10,1,4,2,18,6,4,163,18,2,4,810,},
{4,695,19,9,4,2,8,2,10,16,9,1,18,3,8,1,18,1,3,1,16,2,3,1,4,11,3,2,16,16,3,5,18,2,3,3,18,1,10,12,18,1,10,19,18,1,10,7,18,2,8,1,10,12,8,1,10,4,8,3,10,3,8,2,10,1,8,1,18,2,10,6,8,2,10,11,18,3,10,59,18,1,10,43,8,2,10,198,4,2,19,7,4,2,19,6,4,4,10,46,4,8,19,1,4,29,19,6,4,7,19,7,4,4,10,1,9,1,10,7,8,4,10,2,8,23,18,4,8,8,10,2,8,2,10,2,8,20,10,2,8,1,15,1,8,6,15,1,8,1,10,3,8,3,9,1,10,1,9,4,10,2,9,4,10,7,8,3,9,1,10,5,8,2,10,1,8,3,10,2,4,2,19,6,4,18,10,1,9,1,8,4,10,4,8,2,10,2,9,1,8,2,10,7,9,6,10,3,9,1,8,2,10,5,8,3,9,1,8,5,10,27,9,1,8,3,10,11,8,5,10,4,8,1,18,2,8,6,10,1,8,2,18,2,8,1,9,1,10,1,9,3,10,3,9,2,10,2,9,1,8,2,9,3,8,6,9,2,10,3,9,1,8,7,9,1,10,4,9,1,8,3,10,2,9,2,8,2,9,3,8,1,18,2,8,1,18,5,15,7,8,2,10,2,8,4,10,1,8,1,9,1,4,142,19,2,4,4,18,1,4,7,3,1,16,5,3,1,14,1,15,3,14,5,3,1,18,1,4,86,18,2,14,2,15,15,14,3,15,1,18,1,15,2,14,1,15,3,18,6,3,1,18,4,9,2,18,17,8,3,10,1,8,4,15,2,8,3,15,3,14,2,15,8,14,4,15,2,14,9,8,1,10,3,18,7,4,974,},
{4,694,19,9,4,2,10,1,8,3,10,3,8,1,10,11,18,3,9,1,10,1,18,1,3,3,18,1,4,10,18,1,3,1,16,18,3,3,18,1,10,2,3,3,18,1,9,1,10,2,18,1,10,28,18,1,10,7,8,2,10,19,8,3,10,2,8,2,10,1,8,3,10,2,8,6,10,9,18,2,10,62,18,1,10,41,8,4,10,4,8,1,10,194,4,3,19,4,4,3,19,6,4,4,10,1,8,1,10,42,4,5,19,7,4,29,19,4,4,8,19,7,4,4,10,9,8,28,18,3,8,6,10,10,8,20,10,1,8,1,15,2,8,1,10,1,9,1,8,3,15,1,8,1,10,3,8,3,9,1,10,2,9,3,10,2,9,4,10,7,8,3,9,1,10,5,8,6,10,2,4,2,19,6,4,18,18,1,10,1,8,5,10,3,8,2,10,2,9,1,8,1,10,9,9,4,10,3,9,1,8,3,10,5,8,4,9,1,8,1,10,17,8,1,9,1,10,12,9,2,8,1,10,11,8,3,10,1,8,1,10,4,8,1,18,2,8,2,10,2,8,2,9,1,8,2,18,2,8,2,9,1,8,1,9,1,10,9,9,6,8,2,9,1,8,1,9,4,10,2,9,1,8,9,10,5,9,2,10,3,9,7,8,3,18,5,15,7,8,2,10,2,8,6,18,1,4,141,19,4,4,2,18,1,3,2,18,1,4,4,18,1,3,1,16,6,14,5,6,1,14,2,18,1,3,1,18,1,4,85,18,2,14,1,18,2,15,18,18,4,15,3,18,5,14,3,18,2,8,1,9,1,8,2,18,14,15,4,8,6,15,3,8,1,9,1,8,1,15,3,14,2,15,2,14,2,15,4,14,5,15,3,14,4,15,3,8,1,10,2,8,1,18,2,3,3,18,3,4,973,},
{4,694,19,9,4,2,10,1,8,3,10,1,18,1,10,1,8,2,10,7,18,6,10,2,18,4,10,1,4,10,3,2,16,19,3,1,18,1,4,2,18,1,3,1,16,1,3,1,18,1,10,2,18,2,10,2,18,1,10,36,8,5,10,15,8,4,10,1,8,3,10,2,8,1,18,1,14,1,18,1,8,1,10,10,18,3,10,68,18,1,10,4,18,2,10,30,8,3,10,3,8,2,10,194,4,10,19,6,4,4,10,2,8,2,10,40,4,1,19,1,4,2,19,8,4,40,19,7,4,5,10,6,8,2,10,2,8,22,18,1,8,2,9,1,8,3,10,3,9,1,18,2,8,1,9,1,10,7,8,5,9,1,8,2,9,2,8,4,9,1,10,3,9,1,8,3,10,1,8,1,15,2,8,2,9,1,8,6,9,2,8,4,9,2,10,16,9,1,8,2,10,7,8,5,10,2,4,2,19,6,4,20,9,1,8,5,10,1,8,2,9,5,10,9,9,1,18,2,9,1,10,3,9,1,8,1,9,1,10,7,8,3,10,6,8,1,9,1,10,11,8,1,9,1,10,10,8,1,10,11,8,1,10,12,8,4,10,3,9,1,8,1,9,2,8,4,9,2,8,1,9,1,10,2,9,1,10,8,8,4,9,1,10,7,9,1,8,7,18,2,8,2,9,1,10,12,8,1,18,1,9,3,18,4,8,2,18,1,15,5,8,12,18,1,4,140,19,4,4,2,18,1,3,3,18,1,8,1,10,2,18,1,14,1,16,10,17,1,6,1,7,2,14,2,3,2,18,1,4,75,19,5,4,3,18,2,14,1,15,22,8,1,15,13,18,1,8,1,10,2,8,1,18,8,8,2,18,3,8,1,18,1,15,6,8,4,15,2,8,1,9,2,15,2,14,2,15,4,14,5,15,3,14,3,15,1,8,1,18,1,14,3,15,1,8,2,15,2,8,3,18,7,4,974,},
{4,694,19,6,4,5,10,3,8,1,10,1,18,2,8,2,10,7,18,6,4,3,18,1,4,1,10,2,4,10,3,1,16,19,3,1,18,1,4,3,18,1,3,1,16,1,3,1,9,1,10,2,18,1,10,4,18,1,10,4,18,1,10,1,8,1,18,1,10,27,8,1,18,3,8,2,10,8,8,3,10,3,8,1,18,1,8,1,10,2,8,2,10,2,8,1,18,1,14,1,18,2,10,12,18,2,10,67,18,2,10,4,18,2,10,30,8,2,10,4,8,1,18,1,10,195,4,10,19,5,4,4,10,3,8,2,10,38,4,2,19,11,4,52,10,5,8,4,10,1,8,11,15,2,8,11,10,2,9,2,10,5,18,1,8,2,10,7,8,5,10,2,8,2,10,2,8,4,9,1,10,4,8,3,10,1,8,1,15,2,8,2,9,1,8,13,9,1,10,3,9,2,10,8,9,1,10,3,8,2,10,8,8,4,10,2,4,2,19,6,4,20,10,1,8,8,9,5,10,3,8,1,10,5,18,3,10,4,18,2,10,8,8,3,10,6,8,2,10,11,9,2,10,9,8,2,10,9,8,3,10,9,8,2,10,2,8,1,9,1,10,4,9,1,8,6,9,1,8,3,9,1,10,2,8,1,9,1,10,7,8,4,9,1,10,7,9,1,8,2,9,2,8,3,18,4,8,1,10,12,9,5,18,3,9,2,8,2,18,1,15,3,8,13,18,1,4,140,19,4,4,1,3,4,14,2,8,1,15,1,14,2,17,1,16,11,17,1,7,3,18,1,3,3,18,1,4,74,19,5,4,3,18,1,3,1,14,1,15,2,8,1,15,1,7,1,15,16,8,2,15,13,18,1,8,1,10,2,8,1,18,1,15,1,18,6,8,2,18,3,8,2,15,12,8,1,9,2,15,1,14,3,15,2,14,7,15,1,18,1,15,1,14,1,3,1,14,1,15,1,8,1,18,1,14,3,15,1,8,2,15,4,8,3,18,6,4,1,18,4,4,968,},
{4,694,19,6,4,4,10,2,18,1,10,3,18,2,10,1,8,1,10,9,18,1,4,20,3,2,16,17,3,1,18,1,4,4,18,1,3,1,18,1,10,45,8,2,18,3,8,3,10,6,8,1,18,2,8,1,10,2,8,3,10,2,8,1,18,1,8,2,18,2,8,2,10,13,18,1,10,45,18,3,10,20,18,2,10,4,18,1,10,4,18,4,10,22,8,3,10,4,8,2,10,196,4,18,10,2,8,3,10,20,8,1,10,11,4,7,19,12,4,34,10,7,4,6,10,10,8,3,10,3,8,10,15,3,8,10,10,9,9,1,8,2,10,6,8,2,18,2,8,2,10,2,9,1,8,1,10,2,8,5,10,3,8,4,10,1,8,2,15,1,8,6,10,4,8,6,9,3,10,3,9,1,10,5,9,1,8,1,9,1,10,3,8,2,9,1,10,4,8,1,10,4,8,3,18,1,4,2,19,6,4,13,19,4,4,3,10,1,8,8,9,5,10,8,4,9,18,1,9,1,10,7,8,3,10,6,9,3,10,2,8,2,10,7,9,1,10,3,8,2,10,15,8,3,10,6,8,1,10,2,8,2,10,9,8,1,9,1,8,2,18,1,8,2,18,1,8,3,9,1,8,3,10,7,8,5,9,1,10,1,9,4,10,1,9,4,8,7,18,1,8,1,9,1,10,6,9,2,10,7,9,6,8,19,18,1,4,139,19,5,18,1,3,4,14,1,15,2,14,3,16,12,17,1,7,3,18,1,3,1,18,2,4,2,19,2,4,71,19,4,4,4,18,1,14,1,15,4,7,1,14,1,15,17,8,1,15,13,18,1,8,4,15,3,18,5,8,2,18,2,8,3,15,12,8,3,15,2,14,8,15,5,14,1,3,2,14,1,15,1,18,1,15,1,14,4,18,2,15,4,18,12,3,1,18,1,10,3,18,3,4,158,19,3,4,801,},
{4,694,19,5,4,3,18,1,10,3,18,3,10,1,18,2,10,12,4,20,18,1,3,1,16,16,3,2,4,5,18,1,10,12,18,2,10,32,8,4,18,5,8,1,10,5,8,1,18,3,8,5,10,1,8,1,18,2,8,4,10,61,18,3,10,16,18,2,10,13,18,4,10,21,8,4,10,202,4,18,10,2,8,3,10,31,4,5,19,15,4,34,10,23,8,3,10,3,8,10,15,3,8,9,10,1,8,2,10,8,9,1,8,1,10,3,8,3,18,1,15,2,18,1,8,2,10,2,9,1,8,1,10,2,9,1,8,4,10,3,8,4,10,1,8,8,10,5,9,1,8,5,9,3,10,1,9,1,10,1,9,1,10,5,8,2,10,5,8,1,9,1,10,9,8,3,18,1,4,3,19,7,4,10,19,5,4,3,10,1,8,8,9,5,10,7,4,11,18,1,8,2,10,5,8,2,10,12,9,1,10,11,8,2,10,24,8,4,9,1,10,10,8,1,9,1,8,2,18,5,8,1,9,1,8,6,9,1,10,4,8,5,9,6,10,4,9,1,8,7,18,1,8,2,10,5,9,1,8,1,18,1,10,6,9,4,10,1,9,3,8,18,18,1,4,138,19,6,18,1,3,2,14,2,15,1,8,1,14,1,17,1,16,3,17,2,16,10,6,1,7,2,18,3,4,2,19,4,4,70,19,4,4,3,18,2,15,3,8,1,15,1,7,1,14,1,15,17,8,1,15,13,18,3,8,1,18,1,15,2,18,6,8,1,18,1,15,2,8,3,15,19,14,6,15,4,14,2,3,2,14,2,15,2,14,4,15,6,18,1,15,1,18,8,14,1,3,2,18,1,10,3,18,1,3,2,18,3,4,155,19,6,4,798,},
{4,694,19,6,4,2,10,4,3,2,18,1,10,1,18,2,10,4,18,2,10,5,18,1,4,21,3,2,16,10,3,7,4,6,10,4,18,1,10,7,18,1,10,11,8,1,10,21,8,1,18,1,8,2,18,2,14,2,18,1,8,1,10,5,8,1,18,3,8,7,18,2,8,1,10,64,18,2,10,17,18,2,10,12,18,5,10,21,8,3,10,203,4,19,10,1,8,3,10,31,4,4,19,16,4,34,10,24,8,2,10,4,8,10,15,2,8,8,10,2,8,2,10,7,9,1,8,8,15,4,8,5,9,1,10,3,8,3,10,9,8,4,9,1,8,2,10,6,9,1,8,5,9,5,10,7,8,2,10,5,9,2,10,3,9,1,10,5,8,3,10,1,4,4,19,6,4,10,19,6,4,2,10,1,8,8,9,5,10,6,4,12,9,1,8,2,10,5,8,1,10,50,8,4,9,1,10,11,9,1,10,1,8,2,18,3,15,1,18,1,8,1,9,1,8,6,10,5,9,1,8,3,9,3,8,1,9,3,10,4,9,1,8,1,18,2,8,2,9,1,8,1,18,2,8,1,10,5,9,1,18,2,9,1,10,5,9,4,10,1,9,3,8,1,9,1,8,15,18,2,4,137,19,7,18,1,3,1,14,1,18,1,15,2,8,1,7,1,17,1,16,2,17,1,6,2,17,3,16,6,17,1,6,1,7,1,14,1,18,2,4,2,19,5,4,38,19,4,4,28,19,4,4,1,18,5,15,2,8,2,7,1,15,33,18,8,8,1,18,3,8,1,18,1,15,2,18,1,8,2,15,20,14,5,15,4,14,1,3,4,14,7,15,10,18,4,14,1,15,2,18,3,10,3,8,1,18,1,3,1,18,1,4,147,19,2,4,9,19,6,4,797,},
{4,694,19,6,4,2,10,3,8,1,3,2,18,1,10,1,18,1,10,3,8,2,10,7,18,1,4,20,10,1,18,1,3,1,16,9,3,1,18,1,3,2,18,2,3,1,18,1,4,6,10,1,18,4,8,1,10,1,18,1,10,2,18,1,10,11,8,1,18,2,8,1,10,19,8,2,18,1,8,2,18,1,14,3,18,1,8,1,10,4,8,3,18,3,8,5,18,3,10,99,18,3,10,22,8,1,18,1,8,1,10,189,9,1,10,13,4,18,10,2,8,5,10,28,4,3,19,13,4,1,19,3,4,34,10,25,8,2,10,4,8,20,10,2,8,2,10,6,9,2,8,7,15,5,8,6,10,3,8,2,9,1,10,8,8,4,9,1,8,3,10,6,9,1,8,4,9,6,10,16,9,4,10,5,8,2,10,2,18,1,4,3,19,6,4,10,19,6,4,2,10,1,8,8,9,5,8,2,10,3,18,1,4,12,10,1,8,1,10,12,18,2,10,28,8,2,10,11,8,6,9,1,10,2,8,1,10,10,8,2,18,2,15,1,14,1,18,1,8,1,9,1,8,2,10,2,8,2,10,6,9,6,8,2,9,1,10,5,9,1,8,1,18,2,8,2,9,1,8,1,18,2,8,1,10,5,9,1,18,3,10,6,9,2,10,2,9,1,8,15,18,2,8,2,18,2,4,137,19,6,4,1,18,1,3,1,18,1,8,2,7,3,17,1,16,2,17,1,7,4,6,1,17,1,16,6,17,1,14,2,18,2,4,1,19,6,4,37,19,5,4,29,19,2,4,2,18,4,8,1,15,2,8,3,15,33,18,8,8,2,18,2,8,1,18,1,15,2,18,1,8,1,18,1,15,5,8,2,15,9,18,1,8,1,18,2,15,1,14,5,15,1,14,2,3,6,14,6,15,9,18,4,15,3,18,3,8,1,10,3,8,1,18,2,4,148,19,3,4,8,19,7,4,796,},
{4,694,19,6,4,2,18,1,10,2,18,1,3,2,18,1,10,4,8,3,10,2,8,1,10,4,18,1,4,3,19,8,4,8,10,2,18,1,3,1,16,8,3,2,18,1,3,1,18,1,10,8,18,7,10,2,9,1,10,3,18,1,10,11,18,3,10,2,18,2,10,15,8,5,18,2,14,1,18,1,8,1,10,5,8,4,18,2,8,5,18,3,10,6,8,2,10,4,8,1,10,86,18,1,10,14,18,1,10,9,8,3,10,18,8,1,10,168,18,1,4,6,10,3,4,1,10,8,4,14,10,3,8,5,10,2,18,1,10,20,4,7,19,10,4,12,10,4,18,2,10,49,8,2,10,3,8,25,10,5,9,2,8,25,9,1,10,1,9,1,8,9,9,1,8,3,10,6,9,1,8,2,9,8,10,4,9,2,10,8,9,1,10,2,9,3,10,3,8,4,10,3,4,3,19,6,4,8,19,8,4,2,10,1,8,7,9,5,8,3,10,2,18,1,4,7,19,5,4,1,10,13,9,1,18,1,4,5,10,7,9,1,10,16,8,2,10,3,8,1,10,7,8,7,10,2,8,2,10,5,9,1,10,3,9,1,8,1,18,2,15,1,18,2,8,3,9,1,10,2,8,1,9,1,10,11,9,1,8,2,9,1,10,5,9,1,8,1,18,2,8,2,9,1,8,1,18,2,8,1,9,1,10,4,9,1,8,1,18,2,9,1,10,5,9,4,8,16,18,5,4,139,19,4,4,2,18,2,8,1,10,1,8,1,7,2,14,1,17,1,16,2,17,1,7,1,8,1,7,2,6,1,17,2,16,5,17,1,14,1,3,1,18,1,4,2,19,6,4,36,19,6,4,33,18,3,8,2,15,2,8,4,15,17,8,1,15,14,18,7,8,3,18,3,15,4,8,1,18,1,15,5,8,3,15,8,18,1,8,3,18,1,14,7,3,7,14,6,15,8,8,4,18,3,15,1,18,1,8,2,9,1,10,2,9,1,8,1,18,2,4,148,19,5,4,6,19,8,4,795,},
{4,694,19,6,4,2,18,2,10,1,8,1,3,2,18,1,10,4,8,7,10,3,18,1,4,2,19,10,4,1,18,1,10,2,18,1,10,4,3,2,16,7,3,2,18,3,10,2,18,2,10,2,9,1,10,2,18,1,3,2,18,4,10,1,18,2,10,16,8,1,10,4,18,1,10,16,8,1,10,3,8,1,18,3,8,1,10,4,8,3,10,1,8,1,18,2,8,5,18,2,8,1,10,5,8,2,18,1,8,1,10,3,8,2,10,17,18,1,10,81,18,3,10,8,8,3,10,18,8,1,10,168,4,12,10,7,8,1,4,8,10,8,8,6,10,1,18,1,10,20,4,5,19,11,4,12,10,62,8,24,10,5,9,1,8,1,9,1,8,1,9,1,8,38,10,6,8,3,9,15,10,4,8,3,9,1,10,2,9,2,10,2,8,5,10,5,4,3,19,5,4,7,19,8,4,3,10,1,8,1,10,1,8,5,10,2,9,4,8,1,10,3,4,8,19,5,4,1,10,13,18,1,4,6,10,7,9,1,10,5,9,1,10,10,8,2,10,3,8,1,10,7,8,7,10,2,9,1,10,6,8,1,9,3,8,3,18,2,8,5,9,1,10,3,9,1,10,5,9,2,10,4,9,1,8,2,9,1,10,4,9,2,8,5,9,1,8,4,9,1,10,6,9,1,18,1,9,4,10,3,9,3,8,14,18,3,4,143,19,4,4,2,18,2,10,1,8,1,15,1,14,2,6,2,17,1,16,1,17,1,7,1,8,2,7,2,6,1,17,2,16,4,17,1,14,1,18,1,4,4,19,4,4,36,19,6,4,2,18,4,4,28,18,3,8,2,15,2,8,4,15,17,8,1,15,10,18,12,8,1,18,4,15,4,18,1,15,5,8,5,15,7,18,1,8,3,18,1,15,1,14,2,3,11,14,6,15,2,18,1,8,3,15,1,8,5,18,3,15,1,18,1,8,2,9,1,8,3,18,3,4,148,19,6,4,6,19,9,4,793,},
{4,694,19,6,4,2,18,2,10,1,8,1,3,2,18,1,10,1,8,10,10,3,4,2,19,10,4,2,18,1,8,1,10,2,8,1,18,1,9,1,18,1,3,1,16,3,3,3,16,3,3,1,18,1,10,7,18,11,10,2,18,1,10,3,18,1,10,19,18,1,10,18,8,4,10,4,8,6,18,2,8,1,10,4,8,3,10,5,8,1,18,2,10,4,8,1,10,18,18,1,10,8,18,1,10,70,18,4,10,10,8,1,10,188,4,12,10,8,4,8,9,1,8,5,10,1,8,4,10,4,18,1,10,12,9,1,10,7,4,5,19,12,4,2,19,5,4,4,10,62,9,3,8,2,18,2,15,1,8,15,10,5,9,4,10,3,8,16,10,2,8,3,9,1,8,15,9,1,10,4,9,1,8,3,9,13,8,1,9,1,10,3,9,1,8,1,18,1,8,1,9,7,8,5,10,5,4,15,19,6,4,5,10,1,9,1,10,2,8,3,10,3,9,4,10,4,4,6,19,7,4,1,10,12,9,1,18,1,4,6,10,6,9,2,10,4,9,2,10,14,8,2,10,8,9,1,8,1,9,1,8,1,18,1,8,1,10,9,8,1,9,2,8,2,9,1,8,3,9,2,8,1,18,1,8,1,9,1,10,3,9,1,10,4,9,1,8,1,9,1,10,4,9,1,8,3,10,3,9,3,8,6,9,2,8,3,9,1,10,6,9,3,18,1,9,1,10,3,9,9,18,10,4,4,19,6,4,134,19,4,4,2,18,1,8,3,15,1,14,1,17,2,14,2,17,1,14,1,8,1,10,2,8,1,7,1,14,2,16,5,17,1,18,2,4,1,19,2,4,41,19,3,4,3,18,1,3,6,4,27,18,5,15,3,8,3,15,16,8,5,15,3,18,2,15,2,18,16,15,5,18,1,15,4,8,6,15,8,8,4,15,1,14,2,3,10,14,4,15,5,8,10,18,1,15,4,18,1,8,4,18,4,4,5,19,5,4,138,19,6,4,2,18,2,4,3,19,9,4,792,},
{4,694,19,5,4,2,18,3,10,1,8,1,18,2,8,1,10,1,8,9,10,4,4,1,19,11,4,2,18,1,9,1,8,2,9,1,18,1,9,1,18,1,3,5,18,1,3,1,16,2,3,2,18,1,10,3,9,1,18,5,3,2,18,4,3,2,18,1,8,1,10,25,18,1,10,18,8,4,10,3,8,7,18,2,8,1,10,5,8,6,10,1,8,1,18,2,10,23,18,2,10,7,18,1,10,57,8,1,10,4,8,1,10,5,18,1,10,203,4,13,10,8,4,8,9,1,8,10,10,3,4,4,10,10,18,1,10,6,4,5,19,20,4,3,10,40,8,1,10,25,9,1,8,1,18,1,15,1,18,1,8,15,10,4,8,1,9,2,10,5,8,15,10,8,8,14,9,1,10,3,9,1,8,5,9,9,8,4,9,1,10,3,8,2,18,1,8,2,9,6,8,5,10,5,18,1,4,13,19,6,4,6,10,5,8,1,9,1,10,4,9,2,10,5,4,6,19,7,4,1,10,12,9,1,18,1,4,6,18,2,10,2,18,2,9,1,10,5,9,2,10,5,8,1,10,7,9,1,8,2,9,1,10,7,9,2,10,1,9,1,18,1,8,1,10,9,9,2,8,3,10,2,8,1,9,1,10,2,18,2,8,2,10,3,8,8,10,5,8,3,10,3,9,1,8,1,9,1,10,1,9,1,8,3,9,5,8,2,9,1,10,5,9,3,18,2,9,1,10,1,9,1,18,2,9,1,10,3,9,3,18,10,4,4,19,6,4,134,19,3,4,3,18,2,15,2,14,2,17,2,7,2,17,1,14,1,8,1,10,2,8,1,15,1,14,3,16,4,14,1,18,1,4,2,19,2,4,40,19,4,4,1,3,4,16,4,3,1,18,1,4,27,18,4,15,3,8,2,15,18,8,7,18,4,8,4,18,12,15,10,18,1,8,6,15,8,8,3,15,1,14,2,3,8,14,5,15,6,8,10,18,1,15,5,8,4,15,2,18,3,4,3,19,6,4,138,19,6,4,1,18,4,4,3,19,8,4,792,},
{4,694,19,5,4,2,10,1,8,2,10,1,8,3,10,2,8,8,10,4,4,2,19,11,4,2,10,1,8,3,9,1,18,1,8,1,3,6,18,2,3,3,18,1,10,1,9,1,18,1,3,5,18,6,3,5,18,1,10,3,18,1,10,21,18,1,10,18,8,4,10,2,8,5,10,2,8,1,18,1,8,1,10,6,8,8,18,1,8,1,10,303,4,4,19,3,4,10,10,6,4,8,9,1,8,8,10,5,4,18,10,2,4,3,19,23,4,3,10,38,8,3,10,26,9,1,18,3,8,12,15,1,8,2,10,3,9,1,8,1,9,2,10,5,8,11,15,1,8,2,10,10,8,13,9,1,10,3,8,8,9,1,8,2,9,1,8,5,9,2,10,4,8,6,9,3,10,1,9,1,8,2,9,1,10,1,8,1,10,4,8,1,18,3,10,3,4,8,19,7,4,5,9,1,10,10,9,1,10,6,4,6,19,7,4,1,10,12,9,1,18,1,4,12,9,1,10,11,8,3,10,7,8,1,10,10,9,1,10,1,9,1,8,1,9,1,10,9,8,1,9,1,8,3,10,6,18,2,8,2,9,1,10,2,9,1,8,7,10,5,8,2,9,1,10,3,9,1,8,1,10,3,9,1,8,2,9,1,10,3,9,2,8,1,9,1,10,4,9,4,18,1,9,3,18,3,9,1,10,3,9,3,18,5,4,9,19,6,4,139,18,2,14,5,6,1,17,1,14,2,6,1,14,1,7,1,8,3,14,4,17,1,16,3,3,1,4,2,19,3,4,40,19,4,18,1,3,4,16,4,3,3,18,1,4,25,18,4,15,2,8,2,15,19,8,9,18,2,8,5,18,3,8,2,18,4,8,1,18,1,15,11,8,6,15,3,8,1,15,2,14,1,15,2,18,1,15,2,14,1,3,8,14,6,15,6,8,9,18,2,15,5,8,4,15,2,18,4,4,3,19,5,4,138,19,6,4,1,18,6,4,2,19,7,4,792,},
{4,694,19,5,4,2,10,9,8,4,10,1,8,3,10,3,4,4,19,10,4,2,10,1,8,5,10,1,18,1,3,3,18,2,3,1,18,2,10,2,9,1,18,2,3,2,16,2,3,12,18,1,10,4,18,1,10,21,18,1,10,17,8,2,18,1,8,8,10,4,8,2,10,3,8,1,10,2,8,8,18,1,8,1,10,302,4,3,19,5,4,10,10,5,8,1,18,1,4,7,9,1,8,8,10,5,4,18,10,2,4,1,19,24,4,5,10,36,8,4,10,27,8,4,10,3,8,8,15,1,8,2,10,3,8,1,18,1,8,1,9,1,10,3,9,1,8,11,15,3,8,2,10,1,8,4,10,4,8,3,9,1,10,2,8,3,9,1,10,1,9,1,8,3,9,2,8,2,9,2,8,11,9,2,10,5,8,3,9,1,8,2,18,1,9,1,10,3,9,3,10,3,8,1,10,2,8,4,9,1,10,3,4,8,19,7,4,5,10,18,4,6,19,7,4,1,10,13,18,1,4,12,10,12,8,3,10,32,8,3,9,2,10,6,8,1,18,1,8,1,9,1,8,1,10,3,8,6,9,1,10,5,9,2,10,4,9,2,10,4,9,2,10,4,9,5,10,3,9,3,10,1,9,3,18,4,9,1,10,3,18,7,4,10,19,6,4,139,18,1,3,2,14,2,15,1,7,2,14,3,6,1,14,10,3,1,16,1,3,1,18,1,4,1,19,3,4,42,19,2,4,1,3,13,18,1,4,25,18,3,15,2,8,1,15,22,8,15,18,2,8,8,18,1,15,10,8,7,18,1,8,3,15,1,14,3,15,2,14,3,3,1,14,11,15,6,8,9,18,1,15,7,8,3,18,1,15,2,18,1,8,1,18,2,4,4,19,4,4,138,19,5,4,2,18,7,4,1,19,7,4,792,},
{4,694,19,5,4,1,10,11,8,4,10,1,8,2,10,4,4,3,19,10,4,2,9,1,8,6,18,4,10,1,18,1,3,2,18,1,10,2,18,2,3,3,16,4,3,6,16,1,3,2,18,1,10,5,18,1,10,1,18,3,10,33,8,2,18,3,8,6,10,10,8,7,10,4,8,3,10,15,8,1,10,286,4,2,19,6,4,10,10,4,8,2,18,1,4,7,9,1,8,8,10,5,4,18,10,2,4,1,19,22,4,7,10,35,8,4,10,20,9,1,10,7,9,1,8,2,10,4,8,11,10,3,8,1,18,2,9,1,10,3,8,12,15,3,8,15,10,3,8,2,10,3,8,4,9,1,8,2,9,2,8,11,9,1,10,1,4,1,10,4,8,2,10,2,8,2,18,1,9,1,10,4,9,2,10,2,9,1,8,1,10,2,8,4,10,4,4,8,19,8,4,4,10,18,4,6,19,7,4,1,10,10,8,1,10,1,4,14,10,11,8,5,10,22,4,6,10,2,9,2,8,1,9,5,10,4,8,2,9,1,10,6,8,1,9,1,8,3,10,13,9,1,10,4,9,2,10,4,9,6,10,1,9,4,10,1,9,3,18,3,9,3,18,1,4,18,19,5,4,140,18,1,3,2,14,2,15,2,7,1,14,5,17,2,16,3,3,2,14,1,3,4,18,1,4,1,19,3,4,45,3,3,14,6,3,1,16,2,3,2,4,25,18,4,8,2,15,23,8,14,18,1,8,10,18,3,15,7,8,11,7,1,14,16,15,6,8,10,18,5,15,3,18,1,8,4,15,2,14,1,15,1,8,2,18,2,4,5,19,3,4,138,19,5,4,2,18,7,4,2,19,6,4,792,},
{4,694,19,5,4,1,10,11,8,4,10,4,4,6,19,10,4,2,10,1,8,6,10,5,18,1,3,2,18,1,10,2,18,1,3,3,16,7,3,2,16,3,3,1,8,1,10,40,8,5,18,2,8,6,10,12,8,1,18,1,8,6,10,20,8,2,10,79,18,2,10,37,8,1,10,167,4,2,19,6,4,11,10,2,9,1,8,1,10,1,4,7,10,1,8,9,10,4,4,22,19,20,4,9,10,34,9,1,8,2,10,21,9,3,10,6,9,1,8,2,10,4,8,12,9,2,8,2,18,1,9,1,10,6,8,17,15,3,8,4,15,1,8,3,10,2,8,2,10,3,8,1,15,2,18,1,8,2,9,3,8,3,9,1,8,6,9,1,10,1,4,5,10,1,8,2,10,2,8,1,18,2,9,1,10,3,9,3,10,2,9,1,8,1,10,8,8,2,18,1,4,8,19,6,4,5,18,1,10,4,9,1,8,1,10,11,4,6,19,5,4,3,10,9,8,2,18,1,4,14,10,14,8,4,10,20,4,6,18,1,10,2,9,1,18,2,9,2,8,2,10,16,9,2,10,13,9,1,10,3,9,1,10,5,9,3,10,2,9,2,10,2,9,3,10,2,9,1,10,1,9,1,18,2,10,3,4,20,19,2,4,142,18,1,3,1,14,2,15,1,8,2,15,1,14,4,17,1,16,5,3,6,18,1,4,50,3,2,14,3,6,2,14,3,3,1,16,2,3,1,18,1,4,24,18,4,15,6,8,1,15,18,8,14,18,2,8,6,10,2,8,4,15,7,8,11,7,3,14,8,15,7,18,1,8,16,18,2,15,2,18,1,8,5,15,2,14,2,15,1,8,2,18,3,4,5,19,1,4,139,19,5,4,2,18,1,8,2,18,1,14,2,18,2,4,1,19,6,4,792,},
{4,693,19,6,4,2,10,10,8,4,10,3,4,5,19,1,4,1,19,10,4,2,9,1,8,5,10,1,8,1,10,4,18,1,3,2,18,1,10,2,18,1,3,1,16,13,3,1,18,1,10,1,18,1,10,19,18,1,10,19,8,2,18,4,8,2,10,17,8,1,18,2,8,1,18,3,8,1,10,20,18,2,10,59,8,1,10,12,8,2,10,3,8,3,18,1,10,32,8,1,10,169,4,5,19,6,4,12,18,3,4,7,10,1,8,10,10,4,4,24,19,17,4,3,10,40,9,1,8,2,9,1,10,21,9,1,18,1,9,3,10,4,9,1,8,2,10,4,8,6,15,2,8,6,9,2,8,1,9,1,10,7,8,6,10,5,8,5,15,3,8,2,15,4,8,2,10,1,9,1,8,2,10,2,9,1,8,1,14,2,15,1,8,2,9,1,8,3,9,3,8,5,9,1,18,1,4,6,10,1,8,1,18,1,8,2,18,3,9,1,10,3,9,4,10,1,8,2,10,7,8,4,10,6,4,13,18,1,10,4,8,3,10,3,9,1,10,6,4,14,10,9,8,2,18,1,4,21,10,8,8,3,10,20,4,8,10,2,18,3,9,1,8,2,10,2,8,1,9,1,10,12,9,1,8,2,10,6,9,1,10,8,9,3,10,3,9,1,8,3,10,6,9,3,10,5,4,168,18,2,3,1,14,1,15,1,8,4,7,1,14,4,16,4,3,2,14,2,3,3,18,1,4,49,18,1,3,2,14,3,17,3,14,3,3,1,16,1,3,1,18,1,4,24,18,4,15,6,8,2,15,17,8,3,15,4,8,7,18,2,8,5,10,3,8,4,15,7,8,11,7,4,14,6,15,7,18,1,8,14,9,1,8,3,18,1,15,2,18,1,8,3,15,6,8,2,10,1,8,1,18,4,4,46,19,2,4,95,19,6,4,1,18,1,8,2,18,1,14,3,18,2,4,1,19,5,4,792,},
{4,692,19,7,4,1,18,1,10,5,8,1,10,4,8,5,10,1,4,2,19,16,4,2,10,1,8,8,10,3,18,1,3,3,18,2,3,2,16,13,3,1,10,1,18,1,10,1,3,2,8,1,10,2,18,2,8,1,10,11,18,1,10,19,8,3,18,1,8,3,10,12,8,2,10,4,8,1,18,3,8,3,10,21,18,2,10,38,8,1,10,5,8,1,10,32,18,3,10,33,8,1,10,168,4,7,19,4,4,23,8,8,10,7,4,23,19,17,4,3,10,41,9,1,8,2,10,22,9,5,10,4,9,2,10,5,8,14,9,2,8,1,9,1,10,7,8,6,10,6,9,1,8,4,15,1,8,9,9,2,8,2,10,2,8,2,15,3,8,6,9,1,8,2,9,3,8,2,9,1,4,7,10,1,8,1,18,1,8,2,18,3,9,1,10,4,9,1,18,1,8,2,9,2,10,8,8,3,10,7,4,12,9,1,10,4,8,3,10,2,9,2,10,6,4,14,10,10,8,1,9,1,4,22,10,7,8,4,10,19,4,8,10,2,8,1,18,1,9,2,8,1,10,3,8,1,9,1,10,18,9,2,8,2,9,1,10,6,9,1,8,1,9,2,10,3,9,4,10,7,9,1,10,6,4,167,18,4,15,1,8,5,7,1,14,4,17,2,14,2,3,2,14,1,3,2,18,2,4,50,18,1,3,2,14,1,7,1,14,1,17,3,14,3,3,3,18,1,4,25,18,3,15,5,8,3,15,6,8,4,15,7,18,1,8,2,15,5,8,6,18,2,8,6,10,1,8,4,15,8,8,13,15,2,14,5,15,2,18,1,15,2,18,4,8,13,9,3,8,2,18,1,15,1,18,2,8,3,15,4,8,1,15,1,8,3,18,6,4,45,3,2,18,1,4,94,19,6,4,1,18,4,14,4,18,1,4,1,19,5,4,792,},
{4,692,19,7,4,2,10,4,8,2,10,5,8,5,10,1,4,1,19,13,4,6,9,1,8,1,10,2,8,3,10,2,18,3,3,13,16,6,3,1,18,1,10,2,18,1,3,2,18,1,10,2,18,3,10,19,18,1,10,2,18,1,10,7,8,8,10,9,8,2,18,2,8,1,10,4,8,1,18,3,10,24,18,2,10,11,18,1,10,8,8,1,10,2,8,1,10,14,8,9,10,30,18,1,10,205,4,33,9,1,8,2,10,1,8,3,10,5,8,3,9,1,4,20,19,19,4,3,10,40,9,2,18,1,8,1,9,2,10,20,9,3,10,2,9,1,8,3,9,1,10,9,8,2,18,1,8,10,10,8,9,1,8,1,18,1,15,1,18,1,8,2,10,7,8,9,10,5,9,2,10,4,8,6,18,2,8,1,9,1,10,1,9,1,8,2,9,1,10,1,9,2,18,2,4,7,10,1,8,7,9,1,10,4,9,1,18,2,8,1,10,3,9,1,10,8,8,2,10,6,4,10,10,7,8,3,10,2,9,1,10,7,4,12,10,14,4,3,19,7,4,12,10,1,9,1,10,4,8,3,10,2,8,7,10,12,4,8,9,3,10,19,9,2,10,4,9,1,8,5,9,2,10,4,9,2,10,2,9,3,10,19,4,168,18,2,15,1,18,1,8,5,7,5,14,5,3,4,18,1,4,50,18,1,3,2,14,1,8,2,14,1,17,2,14,4,3,3,18,1,4,26,18,1,9,2,8,1,15,3,8,2,15,5,7,1,15,1,8,5,15,6,18,5,15,5,8,15,15,10,8,9,15,2,8,2,15,3,14,4,15,5,18,1,8,15,9,2,8,4,18,3,15,7,8,6,18,1,15,2,18,3,4,45,18,4,4,2,19,4,4,89,19,4,4,1,18,6,14,1,18,2,4,3,19,3,4,792,},
{4,692,19,7,4,1,10,5,8,2,10,6,8,4,10,1,4,1,19,11,4,3,10,2,4,3,10,4,8,2,10,4,18,1,3,1,16,2,3,4,18,2,3,2,18,1,3,2,16,5,3,2,18,2,3,2,16,2,3,1,18,1,10,2,18,1,9,1,10,30,8,2,10,2,8,3,10,8,8,3,18,3,8,1,10,2,8,1,10,2,8,1,18,1,8,1,10,6,8,2,10,15,8,1,18,2,10,11,18,1,10,8,8,6,10,12,8,12,10,27,18,1,10,205,4,33,10,5,8,3,10,4,8,3,10,1,4,5,18,2,4,1,18,7,4,5,19,17,4,5,10,1,8,2,10,1,8,1,10,33,9,8,10,23,9,2,8,1,18,3,10,5,8,1,10,4,8,13,10,8,9,1,8,1,18,3,8,2,10,6,8,7,10,8,8,1,10,4,8,7,18,2,8,1,10,2,8,3,9,1,10,1,9,2,18,2,4,7,10,1,8,8,9,1,10,3,9,1,18,2,8,1,10,2,8,3,10,7,8,5,9,1,10,6,18,2,10,10,9,1,8,2,9,1,10,10,4,7,10,3,4,1,10,16,4,2,19,7,4,12,18,1,9,1,10,4,8,2,10,3,8,7,10,5,8,2,10,6,4,6,18,1,9,2,10,11,9,1,10,2,8,1,10,5,9,1,8,1,10,4,8,6,9,1,10,5,9,1,8,1,10,2,9,1,8,2,10,10,9,1,10,8,4,168,18,2,15,1,8,5,7,2,8,1,7,5,14,3,3,3,18,1,4,51,18,1,3,2,14,1,8,2,14,1,17,2,14,3,3,5,4,27,9,3,8,1,15,2,8,3,15,2,14,1,7,2,8,6,15,6,18,5,15,5,8,13,15,5,8,2,15,4,8,10,15,2,8,2,15,5,14,2,15,1,18,1,8,1,15,2,8,4,18,5,8,12,18,3,15,6,18,2,15,4,18,1,15,3,14,2,15,1,18,3,4,28,18,2,4,13,18,5,4,1,19,5,4,88,19,4,4,1,18,2,14,1,18,8,4,796,},
{4,692,19,6,4,2,10,4,8,5,10,3,8,5,9,1,4,1,19,10,4,3,10,7,8,5,10,1,8,1,18,1,10,1,3,2,16,2,3,2,18,1,10,1,18,2,3,5,16,5,3,4,16,3,3,2,18,1,10,15,8,3,10,17,8,1,10,15,8,1,10,1,8,2,10,3,8,2,10,10,18,2,10,12,18,1,10,2,8,1,18,2,10,11,18,1,10,8,8,5,10,1,8,1,10,12,8,12,10,25,18,2,10,205,4,22,19,7,4,5,10,3,8,5,10,6,4,1,10,1,4,3,10,1,8,1,10,5,8,1,10,2,18,1,4,7,19,14,4,3,10,3,8,4,10,31,8,3,9,7,10,9,9,1,8,1,10,14,8,2,18,2,8,1,10,5,8,2,10,2,8,17,10,6,9,1,8,8,10,2,9,1,8,7,10,6,8,2,9,1,10,4,8,1,18,2,8,4,18,1,8,1,9,1,10,1,8,5,18,5,4,6,10,2,8,2,10,2,9,1,8,1,18,2,9,1,10,3,9,1,18,3,9,2,8,1,18,1,8,1,10,6,8,8,10,17,9,4,10,37,4,2,19,7,4,12,18,1,9,1,10,9,8,6,10,6,8,2,9,1,10,6,4,5,18,1,9,1,10,5,8,4,10,3,9,1,8,5,10,3,9,1,8,1,10,4,8,5,9,3,10,4,9,1,8,1,10,2,9,3,10,10,9,1,10,8,4,169,18,1,8,6,7,2,8,2,7,4,14,3,3,2,18,1,4,2,19,2,4,48,3,3,14,1,8,1,7,1,14,1,17,3,14,2,3,5,18,1,4,27,9,2,8,6,15,3,7,2,8,7,15,5,18,6,15,5,8,11,15,2,8,1,15,2,8,3,15,4,8,14,15,8,8,4,18,11,8,9,18,3,15,17,14,3,15,1,18,3,4,27,18,5,4,11,8,1,18,3,4,2,19,4,4,87,19,5,4,2,18,1,14,1,18,1,8,2,9,2,18,6,4,3,19,5,4,785,},
{4,692,19,6,4,2,10,3,8,14,9,1,4,1,19,11,4,2,10,1,8,2,10,2,8,6,10,1,8,1,9,1,18,1,10,1,3,1,16,3,3,1,18,1,10,1,18,1,10,1,18,2,3,4,16,5,3,3,16,4,3,2,18,1,10,14,8,1,18,2,8,1,10,52,8,1,18,1,10,15,18,2,8,1,10,20,8,7,10,1,8,1,10,10,8,14,10,23,18,2,10,205,4,21,19,8,4,5,10,1,8,8,10,4,18,2,10,3,18,1,10,10,4,9,19,13,4,2,10,3,8,4,10,29,8,6,9,6,10,9,8,3,10,15,8,3,10,7,8,1,10,1,8,2,18,1,8,15,10,9,9,1,8,1,18,1,15,2,18,1,8,10,10,4,8,5,9,1,10,1,9,1,8,2,18,3,8,5,10,2,8,2,9,2,8,1,18,4,10,1,4,6,10,1,8,1,10,4,9,1,8,1,18,2,9,1,10,3,9,1,8,2,9,3,18,2,8,1,10,4,8,7,18,2,8,2,9,1,10,8,9,1,10,6,9,3,10,39,4,1,19,7,4,12,10,1,9,1,10,9,8,4,10,9,9,3,10,6,4,4,18,1,9,1,10,5,8,4,10,3,9,1,8,5,10,3,9,1,8,1,10,4,8,2,9,6,10,4,9,2,10,2,9,3,10,9,9,2,10,8,4,170,18,1,8,4,7,3,8,1,7,2,14,3,17,1,3,4,18,1,4,1,19,3,4,47,18,1,3,3,14,1,7,1,14,2,17,2,16,1,17,1,3,1,14,1,3,4,18,1,4,27,18,1,9,2,8,6,15,4,8,7,15,1,8,1,15,2,18,7,15,6,8,9,15,3,8,24,15,8,8,5,15,2,18,8,8,8,18,4,15,19,14,1,15,1,18,7,4,23,18,1,3,1,18,3,4,10,10,2,8,2,18,2,4,1,19,4,4,86,19,6,4,2,18,1,14,1,18,1,8,2,9,2,8,1,18,3,9,2,18,1,4,2,19,6,4,784,},
{4,692,19,6,4,2,10,3,8,14,9,1,4,1,19,10,4,2,10,2,8,1,18,1,10,1,8,7,10,1,8,1,9,1,18,1,10,1,3,1,16,1,3,3,18,1,10,1,18,1,10,1,18,2,3,5,16,4,3,4,16,3,3,1,18,1,10,1,18,2,10,11,8,1,18,3,8,1,10,42,18,3,10,21,18,1,10,1,8,1,18,2,10,21,8,6,10,1,8,3,10,9,8,14,10,23,18,2,10,87,18,2,10,115,4,22,19,8,4,4,9,1,8,9,10,3,18,1,10,4,18,2,10,4,18,2,10,4,4,8,19,14,4,2,10,3,8,3,10,30,8,6,18,3,9,2,10,10,8,2,10,17,9,1,10,8,8,1,10,1,8,1,18,2,8,1,10,1,8,14,10,9,8,1,18,1,14,2,15,1,8,11,10,2,8,6,9,2,8,10,10,2,8,3,10,2,8,1,18,3,9,1,10,14,8,1,18,1,8,1,10,4,9,6,18,2,8,1,9,1,10,2,9,1,8,5,9,2,8,2,9,2,10,9,9,1,10,41,8,3,10,4,4,2,19,6,4,12,10,11,8,4,10,11,9,1,10,11,9,2,10,4,8,4,10,4,8,5,10,3,8,2,9,1,10,3,9,8,10,4,8,1,9,1,10,4,9,1,10,9,9,2,10,4,9,1,18,2,10,2,4,170,18,1,8,3,14,3,15,1,14,4,3,5,18,1,4,1,19,4,4,47,18,1,3,3,14,4,17,2,16,2,3,1,14,1,3,1,16,1,3,2,18,1,4,27,18,2,9,2,8,6,15,4,8,9,18,5,8,2,18,2,15,5,8,36,15,8,8,4,18,1,15,2,18,9,8,7,18,4,15,9,14,1,15,7,18,1,15,4,18,9,4,5,18,2,4,13,18,1,3,1,18,1,3,2,18,1,4,8,10,1,8,4,18,2,4,1,19,3,4,87,19,6,4,2,18,1,14,1,18,2,8,3,18,5,9,1,18,2,4,2,19,5,4,784,},
{4,692,19,6,4,2,10,4,8,13,10,1,4,1,19,10,4,2,10,3,8,1,10,1,8,11,18,1,3,3,18,1,3,1,18,1,10,3,18,3,3,4,16,4,3,1,18,2,3,1,16,3,3,1,10,2,3,3,10,10,8,1,18,2,8,1,10,42,18,4,10,14,18,2,10,5,18,1,10,1,8,1,18,1,8,1,10,28,8,4,10,8,8,16,10,110,18,3,10,108,18,3,10,2,4,23,19,8,4,4,9,1,8,8,10,7,18,5,10,3,18,6,4,8,19,13,4,3,10,1,9,1,8,2,10,33,8,3,9,2,18,3,9,1,10,38,8,2,10,2,8,2,10,2,8,14,10,2,9,2,10,5,8,1,18,1,14,2,15,1,8,22,10,4,8,3,10,3,8,4,10,2,9,1,18,3,10,15,9,1,8,1,9,1,10,5,9,2,10,2,9,1,18,3,9,1,10,3,9,9,10,4,9,1,10,6,9,1,10,33,8,1,10,7,8,3,10,4,4,2,19,6,4,12,10,9,8,7,10,10,9,3,10,16,8,2,10,5,9,1,8,4,10,3,8,3,10,2,9,2,10,5,9,4,10,19,9,1,10,3,9,1,18,4,10,2,4,170,18,3,14,7,3,5,18,1,4,2,19,4,4,48,3,3,14,5,17,2,16,1,3,1,14,2,3,3,4,29,18,2,9,2,8,6,15,2,8,10,18,4,8,6,15,4,8,36,15,8,8,4,18,1,15,1,18,11,8,6,18,4,15,1,18,1,15,11,18,20,4,1,18,7,4,2,18,2,4,2,18,2,4,1,18,4,3,2,18,1,4,8,18,2,8,2,18,3,4,1,19,3,4,87,19,6,4,2,18,15,4,3,19,4,4,784,},
{4,692,19,6,4,2,10,4,9,1,18,1,9,1,8,10,9,1,4,1,19,10,4,1,10,1,8,1,10,2,8,1,10,1,8,1,9,4,8,5,10,1,18,1,3,2,18,1,10,1,18,2,10,1,18,3,10,2,18,2,3,3,16,3,18,1,10,1,9,1,3,2,16,1,3,2,10,1,18,1,3,3,10,3,18,2,10,5,8,1,18,1,8,1,10,8,8,1,10,34,8,1,18,2,8,1,10,12,18,4,10,5,18,1,10,2,8,1,10,29,8,4,10,8,8,15,10,17,8,1,10,83,4,7,10,3,18,2,10,102,4,34,19,9,4,4,9,1,8,5,10,10,18,2,3,1,18,2,10,2,18,6,10,2,4,7,19,11,4,4,10,38,8,2,10,3,9,1,18,1,9,1,10,39,8,2,10,6,8,14,9,1,8,2,9,1,10,6,8,1,15,2,8,1,9,1,10,1,8,19,9,1,10,9,9,1,8,3,9,1,10,2,9,1,8,1,18,1,9,1,10,5,9,1,18,1,10,4,9,3,10,8,9,6,8,3,9,1,10,7,9,4,10,5,9,2,10,46,8,4,10,4,4,20,10,3,8,1,10,4,8,8,10,11,9,1,8,1,9,1,10,24,8,4,9,1,8,4,9,3,10,6,9,1,8,3,9,1,10,1,8,1,9,1,10,4,9,1,10,3,9,2,10,5,9,1,10,3,9,1,18,6,4,170,18,2,15,2,14,2,15,2,14,2,17,1,16,1,3,2,18,1,4,2,19,5,4,48,3,3,14,3,7,3,14,1,17,1,14,3,3,2,18,1,4,26,19,1,4,3,18,1,9,1,8,20,18,4,8,7,15,2,8,10,15,1,8,25,15,8,18,2,15,3,18,2,8,4,18,6,8,6,18,7,15,10,18,2,8,2,18,5,15,1,18,32,3,1,18,2,4,7,18,7,4,1,19,3,4,25,18,1,3,3,4,4,19,5,4,49,19,6,4,2,18,1,8,1,9,1,8,1,18,1,15,1,18,4,8,1,9,1,18,2,3,1,18,1,4,2,19,2,4,2,19,4,4,780,},
{4,692,19,6,4,2,10,4,9,1,18,3,8,3,10,2,8,4,9,1,4,1,19,10,4,1,10,1,8,1,10,4,8,1,9,1,18,2,9,1,8,4,10,1,18,4,10,2,18,2,3,4,10,3,18,1,3,6,10,3,18,1,3,6,16,1,3,2,10,2,8,1,3,2,18,1,10,4,8,2,10,8,8,3,10,48,18,4,10,6,18,1,10,31,8,3,10,9,8,16,10,16,8,1,18,1,8,1,10,2,18,1,10,79,4,8,10,2,18,2,10,101,4,12,19,3,4,19,19,10,4,4,18,4,8,2,10,5,18,3,10,2,18,2,3,2,18,2,10,2,18,4,10,4,4,7,19,1,4,1,19,7,4,4,10,39,8,2,10,44,8,3,10,5,8,7,10,2,8,9,9,1,10,6,8,1,18,2,8,1,10,3,8,18,10,10,8,2,18,1,8,1,10,3,9,2,10,6,9,1,18,2,9,1,10,3,8,3,9,1,10,7,9,1,8,3,9,3,8,1,9,1,10,7,9,5,10,4,9,2,8,1,9,1,10,3,9,1,10,28,8,1,10,12,8,4,10,4,4,20,10,8,8,7,10,4,8,2,10,5,9,1,8,3,10,25,9,1,8,7,9,4,10,5,9,1,8,3,9,1,10,1,8,1,10,5,9,1,10,3,9,2,10,4,9,2,10,4,18,6,4,170,18,5,8,1,9,1,18,2,3,4,18,1,4,3,19,1,4,1,19,3,4,48,3,3,14,3,7,4,14,5,18,2,4,25,19,2,4,4,18,2,8,19,18,5,8,6,15,3,8,8,15,3,8,25,18,1,8,2,18,1,15,8,8,7,18,5,8,6,18,8,15,9,8,6,18,39,4,6,18,6,4,3,19,3,4,24,3,6,18,1,4,2,19,6,4,48,19,6,4,2,10,3,8,1,18,1,14,1,15,1,18,3,8,1,18,2,3,3,18,1,4,5,19,5,4,779,},
{4,692,19,6,4,2,10,3,8,1,18,4,8,4,10,2,8,4,4,1,19,10,4,1,10,1,8,1,10,3,8,2,9,1,18,2,9,1,8,5,10,4,18,2,3,6,10,3,18,1,3,2,18,4,10,2,9,1,18,3,3,2,16,3,3,1,18,1,10,2,18,1,3,2,18,1,10,13,8,4,10,81,8,1,10,8,8,2,10,5,8,1,10,1,8,2,10,2,8,21,10,9,8,1,18,1,8,1,10,3,18,2,10,78,4,13,10,100,4,9,19,7,4,18,19,10,4,4,18,4,8,3,10,4,18,3,10,1,18,3,3,1,18,2,10,3,18,3,8,1,10,4,4,10,19,4,4,6,10,38,9,1,18,1,9,2,10,12,9,2,10,21,8,1,10,1,8,3,10,3,8,3,10,5,8,6,10,2,8,8,18,1,8,1,9,1,10,6,9,1,8,3,10,3,8,18,10,6,8,1,10,4,8,2,10,4,9,1,10,8,9,1,18,1,9,1,10,2,9,1,18,3,9,1,10,8,8,1,18,2,8,1,9,2,10,1,9,1,10,6,9,1,18,5,9,5,18,2,8,1,9,1,10,2,9,2,10,42,8,1,10,5,4,20,10,2,8,1,10,5,8,2,10,2,8,2,10,4,8,5,10,2,9,2,8,2,9,1,10,19,8,1,10,5,8,7,9,5,10,5,8,7,10,9,8,2,10,4,8,1,9,1,10,6,4,174,18,1,3,1,18,2,4,5,18,1,3,2,18,1,4,57,18,1,3,2,14,2,7,5,14,5,18,1,4,24,19,6,4,3,18,2,9,1,8,18,18,1,15,1,18,4,8,4,15,4,8,6,15,5,8,4,15,5,8,19,15,5,14,1,15,1,18,1,8,7,18,6,8,5,18,7,15,10,18,1,8,3,18,11,8,2,18,14,8,3,18,7,8,2,18,2,4,5,18,3,8,2,9,1,18,1,4,3,19,3,4,24,3,4,16,1,3,3,18,1,19,6,4,48,19,6,4,2,10,3,8,1,18,1,15,2,18,4,14,1,3,3,18,2,4,6,19,5,4,778,},
{4,692,19,6,4,2,10,3,8,1,9,1,18,3,8,4,10,3,8,1,9,1,4,1,19,8,4,2,19,1,4,1,10,5,8,2,18,3,9,1,8,5,10,2,8,1,10,1,18,1,3,6,18,7,10,4,18,5,3,3,16,3,3,1,8,1,10,2,18,1,3,2,18,1,10,9,8,5,18,2,8,2,10,88,8,3,10,4,8,6,10,5,8,17,10,8,8,1,18,1,8,1,10,3,18,4,10,77,4,13,10,99,4,9,19,8,4,18,19,9,4,4,10,1,18,3,9,1,8,2,10,4,18,11,10,2,8,1,18,4,8,1,10,3,4,20,10,38,9,1,18,1,9,2,10,10,9,1,8,2,9,1,10,20,8,6,10,3,8,3,10,5,8,5,10,3,8,7,18,2,8,1,9,1,10,7,9,1,8,2,9,2,8,20,10,5,8,2,10,8,8,2,10,5,9,2,10,2,9,2,10,2,9,1,18,2,8,1,9,2,10,2,9,5,8,4,10,3,9,2,10,6,18,6,9,7,10,3,9,1,10,12,9,1,10,2,9,1,10,6,9,1,10,27,4,19,10,8,8,2,10,8,8,5,10,3,9,2,10,4,8,2,10,7,9,2,10,11,8,6,9,1,10,3,9,1,8,2,9,1,10,4,9,1,8,1,9,2,10,12,8,2,10,3,8,2,9,1,10,5,4,175,18,2,4,8,18,2,4,58,18,1,3,2,14,2,7,5,14,5,18,1,4,24,19,6,4,4,18,3,8,17,18,1,15,6,8,2,15,6,8,4,15,7,8,2,15,6,8,15,15,1,18,1,8,1,18,1,15,2,14,1,15,4,18,1,8,9,18,4,8,5,18,7,15,10,18,17,8,2,18,2,15,2,18,3,15,3,18,2,8,4,18,1,8,1,18,1,15,2,8,3,18,4,4,2,18,3,8,1,9,1,10,2,4,3,19,3,4,25,3,4,16,4,3,1,4,1,19,5,4,48,19,6,4,2,10,3,8,1,18,1,15,1,18,2,15,1,14,2,3,4,18,2,4,6,19,5,4,778,},
{4,692,19,6,4,2,10,4,8,9,10,3,18,1,4,1,19,6,4,6,10,2,18,1,8,1,10,1,9,5,8,6,10,1,8,2,10,1,18,1,3,4,18,1,10,2,3,2,18,1,10,7,18,1,3,5,16,3,3,1,18,1,10,5,18,2,10,10,8,1,18,1,8,2,18,5,8,1,10,26,18,2,10,59,8,3,10,3,8,7,10,6,8,4,10,7,8,4,10,8,18,4,10,2,18,7,10,75,4,13,10,98,4,10,19,8,4,17,19,9,4,3,9,2,8,6,10,4,18,4,3,1,18,6,8,1,10,1,8,1,18,6,8,1,10,12,4,2,18,4,4,1,10,1,18,1,10,40,9,2,10,10,8,3,9,1,10,18,9,2,8,6,10,5,8,2,10,5,8,3,10,5,8,7,18,3,9,1,10,9,8,20,18,2,8,1,10,4,8,2,10,9,8,2,10,5,18,1,9,1,10,3,9,2,18,1,9,6,8,5,9,1,10,1,9,1,8,2,10,4,9,1,18,1,4,12,10,23,18,2,9,2,10,37,4,14,10,9,8,3,10,8,8,5,10,9,8,2,9,1,10,1,9,2,10,15,8,6,10,5,9,1,8,2,9,1,10,4,9,1,10,20,8,2,9,1,10,2,4,178,18,2,4,6,19,1,4,58,19,2,4,1,18,1,3,2,14,2,7,1,14,9,18,1,4,24,19,6,4,5,18,3,8,16,18,1,15,13,8,5,15,7,8,3,15,5,8,14,15,6,14,2,15,4,18,1,8,3,9,3,8,12,18,6,15,8,18,1,15,2,18,17,8,3,18,3,15,2,18,3,15,2,18,2,8,5,18,4,8,2,18,9,8,2,9,2,4,31,18,1,3,4,16,3,3,1,4,1,19,5,4,48,19,6,4,2,18,1,8,2,18,1,15,1,14,1,18,2,14,3,3,4,18,5,4,3,19,7,4,776,},
{4,692,19,6,4,2,10,5,8,9,10,2,4,2,19,5,4,7,10,1,18,2,8,1,10,1,9,1,18,2,8,1,10,1,8,6,10,1,8,2,10,1,18,4,10,3,18,1,3,3,18,1,9,1,10,1,18,5,3,4,16,3,3,1,18,2,10,5,8,1,10,11,8,1,18,4,14,1,18,3,8,1,10,14,8,4,10,12,8,1,18,1,8,1,10,17,8,1,10,36,8,3,10,3,8,7,10,19,8,2,10,7,8,1,18,3,10,3,18,7,10,75,4,13,10,98,4,10,19,8,4,16,19,9,4,3,10,1,8,5,10,5,18,13,10,1,8,1,18,8,8,1,10,12,18,5,10,54,9,1,18,1,8,2,10,4,9,1,8,2,10,11,9,3,8,4,10,22,8,7,18,3,9,1,10,9,9,1,8,7,10,4,8,7,18,3,8,2,9,1,8,2,18,1,8,1,10,9,9,1,8,1,10,4,9,1,18,1,9,1,10,3,9,1,18,2,9,1,10,4,9,1,8,6,10,7,9,1,18,2,4,12,10,23,8,1,18,2,9,1,10,37,4,14,10,9,8,2,10,4,8,1,10,3,8,6,10,9,8,2,9,2,18,2,9,1,10,13,8,5,10,8,8,3,10,4,9,1,10,19,9,1,10,5,4,2,19,8,4,172,19,6,4,56,19,4,4,1,3,2,14,12,18,1,4,24,19,7,4,6,18,2,8,16,15,13,8,6,15,5,8,6,15,2,8,15,15,5,14,3,15,1,18,2,8,5,9,6,8,7,18,7,15,8,18,1,8,2,15,1,18,17,8,1,10,2,8,1,18,3,15,1,18,3,15,2,18,2,8,5,18,3,15,3,18,9,8,3,18,1,4,31,18,1,3,6,16,1,3,1,4,1,19,5,4,48,19,6,4,2,18,4,14,1,15,1,8,1,18,1,15,1,14,5,18,4,9,2,18,1,4,3,19,8,4,774,},
{4,692,19,6,4,2,10,7,8,7,10,2,4,14,10,1,18,2,10,2,9,1,18,2,10,3,8,4,10,5,18,2,10,4,3,2,16,1,3,9,18,2,3,7,18,1,3,2,18,1,10,1,8,2,10,5,18,1,10,7,8,1,18,2,14,2,18,4,8,1,10,12,8,2,18,1,8,2,10,8,18,1,10,3,18,2,8,1,10,17,8,1,18,2,10,34,8,3,10,6,8,5,10,27,18,4,10,3,18,1,10,2,18,4,10,12,8,4,10,59,4,13,10,98,4,11,19,6,4,17,19,9,4,3,10,1,8,4,10,2,8,1,18,15,8,1,10,1,8,1,18,4,8,1,18,3,8,1,10,10,18,3,9,1,10,56,9,1,8,1,18,2,8,1,10,5,8,2,10,14,8,3,10,23,8,7,18,2,8,1,9,1,10,10,9,1,8,6,10,5,8,7,18,2,8,5,15,1,8,1,10,10,9,1,10,4,9,1,18,1,10,4,9,1,18,2,9,1,10,4,9,2,8,5,10,7,9,1,18,2,4,12,10,23,9,3,10,34,8,2,10,2,4,14,10,9,8,1,10,5,8,9,10,13,9,1,18,2,8,1,10,13,9,1,8,3,10,9,9,1,8,1,9,1,10,3,9,3,10,23,18,1,4,2,19,8,4,173,19,5,4,57,19,3,4,1,18,1,3,2,14,10,3,1,18,1,4,24,19,9,4,1,19,1,4,3,18,1,8,17,18,1,15,12,8,29,18,3,15,2,14,1,15,4,14,1,15,1,18,2,8,6,9,7,8,4,18,8,15,9,8,3,15,1,18,6,8,2,18,3,8,3,18,3,8,1,10,2,8,1,18,4,8,3,15,3,18,1,8,5,18,1,15,6,18,5,8,2,18,5,4,31,18,1,3,8,19,6,4,48,19,7,4,1,18,1,8,2,18,1,15,1,18,1,8,2,18,1,15,3,18,2,8,1,18,1,14,2,8,1,9,1,18,1,4,4,19,7,4,774,},
{4,692,19,6,4,2,10,7,8,6,10,2,4,15,18,2,10,3,8,1,18,2,10,3,8,4,9,1,10,5,18,1,10,3,18,1,3,1,16,3,3,1,16,5,3,2,10,2,3,3,18,1,3,7,8,1,9,1,10,6,18,1,10,7,8,1,18,1,3,2,18,5,8,1,10,12,8,1,18,3,8,1,10,12,18,2,10,8,8,2,10,8,8,1,18,3,10,12,8,1,10,22,8,4,10,5,8,5,10,25,8,1,18,1,8,1,10,4,18,1,10,3,18,2,10,13,8,3,10,60,4,13,10,67,18,2,10,28,4,35,19,7,4,5,10,2,8,2,10,2,8,1,18,13,3,1,18,2,10,2,8,1,18,3,8,3,18,1,8,1,10,5,18,2,10,3,9,1,18,2,9,1,10,59,9,1,8,3,10,4,8,1,10,16,8,2,10,21,8,12,10,4,9,2,8,3,9,1,10,3,8,3,10,6,8,13,18,1,15,2,8,1,10,15,9,1,8,1,10,4,9,2,10,8,9,1,8,4,10,7,9,1,18,2,4,12,10,13,9,1,10,46,8,2,10,2,18,1,4,13,10,8,8,2,10,5,8,8,10,1,8,1,10,12,9,1,18,2,8,1,10,10,9,4,10,12,9,2,10,4,9,1,8,2,9,1,10,17,9,1,10,2,4,5,19,7,4,173,19,6,4,57,19,3,4,2,18,1,3,2,14,4,3,1,14,4,3,2,4,25,19,11,4,2,18,3,9,1,8,21,15,6,8,29,18,3,15,1,14,2,15,2,18,1,15,1,14,1,15,1,18,1,8,4,18,1,8,3,9,6,8,2,18,10,15,9,8,3,15,5,18,2,8,3,18,2,8,3,18,3,8,1,10,2,8,1,18,1,8,8,18,2,15,1,18,1,8,4,18,1,15,5,8,2,18,2,8,4,18,4,4,31,18,2,3,5,16,1,3,1,4,1,19,4,4,49,19,7,4,1,18,1,8,3,18,1,8,2,10,1,8,1,18,4,8,2,18,1,3,2,18,1,8,1,18,2,4,4,19,6,4,774,},
{4,691,19,7,4,2,10,1,8,2,10,2,8,7,18,1,4,16,10,4,8,1,10,1,8,1,18,2,9,1,8,4,9,1,18,1,4,5,18,3,3,4,16,8,3,2,10,3,3,7,16,2,3,2,10,6,8,1,10,2,18,1,10,4,8,2,18,1,14,1,3,2,18,2,8,1,18,2,8,1,10,12,8,1,18,2,8,2,10,22,8,1,10,9,8,1,18,2,8,1,10,11,8,1,18,2,10,21,8,4,10,5,8,7,10,50,8,1,10,63,4,8,10,69,18,2,10,1,18,2,10,25,4,36,19,6,4,4,10,8,18,13,3,3,18,1,10,2,8,1,18,3,10,3,8,2,10,4,18,1,10,1,18,1,10,3,18,2,9,1,10,18,8,1,10,34,9,2,10,6,8,7,10,22,8,1,10,15,9,1,8,10,10,6,9,1,8,6,9,1,10,10,8,14,18,1,15,2,18,1,8,1,10,14,9,1,18,1,10,3,9,2,10,10,8,1,18,1,8,2,10,7,9,1,18,2,4,12,10,13,18,1,8,1,10,5,9,1,10,7,9,1,10,7,9,2,10,22,8,2,10,3,18,3,10,4,18,3,10,10,8,3,10,6,8,5,10,2,8,3,9,1,10,5,8,2,10,3,9,4,10,9,8,4,10,19,8,5,10,3,8,1,10,3,8,2,10,3,8,4,18,2,4,6,19,2,4,178,19,6,4,57,19,3,4,2,3,3,14,1,15,1,7,1,14,6,3,2,4,30,19,5,4,6,10,4,8,10,9,1,8,8,15,7,8,22,15,7,18,2,15,2,18,4,15,2,18,1,8,3,18,5,8,2,9,4,8,1,18,8,8,1,18,3,15,8,18,1,8,1,15,6,18,8,8,3,18,3,8,2,15,2,8,10,15,2,18,1,8,5,18,1,15,2,18,3,15,2,18,1,8,4,18,3,4,31,18,3,3,4,16,1,3,1,4,54,19,6,4,2,10,3,8,3,10,2,8,1,18,1,15,1,14,2,15,1,8,2,3,2,15,1,18,6,4,2,19,8,4,771,},
{4,690,19,8,4,2,10,1,8,10,9,1,4,16,9,1,10,3,8,5,18,2,9,2,10,1,8,1,9,1,4,6,18,3,3,2,16,9,3,2,18,3,3,11,18,1,10,5,8,2,10,2,18,1,10,2,8,1,18,4,14,2,18,2,8,2,18,2,8,1,10,12,8,3,10,24,8,1,10,4,8,1,10,4,8,3,10,12,18,3,10,22,8,3,10,5,8,7,10,50,8,1,10,64,4,6,10,71,18,4,10,25,4,36,19,5,4,3,10,9,8,1,18,16,8,1,10,2,8,1,18,2,8,1,10,80,8,7,10,32,9,2,10,4,9,1,8,4,9,2,8,3,10,7,8,7,10,7,8,18,15,2,8,3,10,2,8,1,10,10,9,2,10,3,9,1,10,12,8,3,10,7,9,1,18,2,4,12,10,13,18,2,9,1,10,12,18,1,9,1,10,30,8,2,10,3,9,7,18,2,9,3,10,7,8,3,10,4,8,1,10,2,8,5,10,1,8,5,9,1,10,4,8,2,10,15,8,2,18,1,8,2,9,1,10,18,9,1,8,4,10,2,8,2,10,1,8,11,18,2,4,1,19,3,4,2,19,2,4,3,18,2,4,173,19,6,4,62,18,1,3,2,18,1,8,2,14,5,3,3,4,31,19,5,4,6,10,2,8,10,9,2,8,7,15,9,8,20,15,8,18,2,15,2,18,1,8,1,18,3,8,5,18,5,8,1,18,1,8,3,18,8,8,4,18,1,15,10,18,1,15,6,18,8,8,3,18,5,14,1,15,1,18,1,9,1,8,4,9,1,10,1,8,2,18,2,8,6,15,4,8,2,15,1,18,1,8,7,18,2,4,30,18,2,3,7,4,54,19,5,4,3,9,1,10,1,8,2,15,1,18,1,8,1,10,1,8,2,18,1,15,1,14,2,8,2,3,2,15,1,8,1,14,2,18,3,4,4,19,8,4,769,},
{4,690,19,8,4,2,9,1,10,3,8,8,4,16,9,1,8,8,10,1,18,2,10,3,8,1,4,5,18,3,10,1,18,1,3,1,16,8,3,1,9,1,10,1,18,1,3,1,16,8,3,2,18,2,10,5,8,1,10,3,18,1,10,3,18,7,8,1,10,1,8,2,18,1,8,2,10,29,18,2,10,8,8,1,10,7,8,3,10,7,8,1,10,6,8,2,10,30,8,1,10,2,8,2,10,2,8,1,10,17,8,2,10,12,18,2,10,17,8,3,10,27,8,1,10,116,18,2,10,22,4,3,19,4,4,29,19,5,4,3,9,1,8,2,10,2,8,2,10,2,8,1,10,1,8,1,18,9,8,1,10,5,8,4,10,84,8,6,10,27,8,1,10,2,8,3,9,1,10,6,9,1,10,3,9,1,8,2,10,3,9,1,8,2,10,3,8,6,10,3,8,19,15,1,8,9,10,8,9,1,8,2,10,9,9,3,10,6,8,3,10,6,9,1,18,2,4,12,18,2,10,11,9,1,18,2,8,1,10,10,8,1,18,1,9,1,10,30,8,3,10,5,9,1,18,2,9,5,10,6,8,3,10,4,9,1,10,1,8,3,10,1,8,3,10,1,8,7,10,5,9,2,10,9,9,2,10,2,9,1,18,3,8,1,9,4,10,14,9,1,10,2,8,4,10,6,8,8,10,2,18,2,4,1,19,8,4,177,19,6,4,62,18,1,3,1,18,4,15,1,14,3,3,3,18,1,4,31,19,5,4,6,10,1,9,1,8,2,10,1,8,4,10,1,9,1,8,9,15,9,8,3,15,2,8,17,15,7,18,2,15,2,18,4,8,1,9,1,8,2,18,1,8,3,18,1,8,3,18,2,8,1,18,2,14,1,15,1,18,5,8,4,18,1,15,1,14,2,15,14,18,8,8,3,18,2,15,5,18,1,8,3,18,2,8,1,9,2,8,7,18,2,15,4,8,2,15,1,8,2,10,1,8,4,9,1,18,2,4,31,18,1,3,5,18,1,4,55,19,4,4,4,18,1,9,1,8,1,15,1,14,2,18,1,8,1,10,2,8,1,18,1,15,2,8,1,15,1,14,2,8,2,15,1,14,1,3,2,18,1,4,8,19,5,4,768,},
{4,690,19,7,4,3,10,8,8,2,18,1,4,16,18,1,8,7,9,1,10,1,4,1,18,2,4,2,10,2,4,4,18,1,3,2,10,3,3,1,16,3,3,1,16,3,3,1,18,1,10,2,9,1,3,1,16,8,3,1,10,5,8,1,18,2,10,8,18,6,8,1,10,3,8,4,10,29,18,1,10,13,8,2,10,3,8,1,10,5,8,3,18,1,8,1,10,5,8,1,10,64,8,1,10,5,18,2,10,4,18,3,10,10,8,3,10,144,18,2,10,22,4,2,19,6,4,35,10,1,8,2,10,1,8,4,10,2,8,1,10,2,8,1,18,7,10,96,8,5,10,27,8,4,9,3,10,12,9,1,8,2,9,2,8,1,10,6,8,4,10,3,8,19,15,1,8,5,18,1,8,3,10,8,8,3,10,9,18,2,9,1,10,7,8,7,9,3,18,1,4,11,18,3,9,1,10,4,9,2,8,1,9,1,10,3,8,1,18,2,10,10,8,1,9,2,10,25,8,3,10,2,8,4,10,4,9,1,18,2,9,1,10,3,9,1,10,6,8,2,10,4,9,1,8,1,9,1,8,3,10,2,8,2,10,2,8,6,9,1,10,5,9,2,10,4,9,1,10,3,9,2,10,2,9,1,8,2,9,1,10,3,9,2,10,14,8,1,10,2,8,4,10,9,8,4,10,4,4,3,19,8,4,177,19,4,4,67,18,5,3,4,18,1,4,34,19,1,4,7,10,1,9,1,8,2,10,2,8,2,10,3,8,7,15,11,8,3,15,2,8,2,10,2,8,14,15,6,18,2,15,2,18,4,8,1,9,1,8,1,18,3,8,5,18,5,15,1,14,1,15,1,18,5,8,4,18,1,14,3,15,14,18,8,8,3,18,2,15,3,18,9,8,2,9,4,8,3,18,2,15,4,8,2,15,1,8,2,10,1,8,1,15,1,18,1,8,1,9,1,18,2,4,31,3,5,18,1,4,57,19,3,4,3,18,5,14,3,15,1,8,7,15,1,14,2,8,2,15,1,14,1,3,2,18,1,4,5,18,1,4,2,19,5,4,768,},
{4,690,19,6,4,3,10,3,8,1,10,5,8,1,9,1,4,1,19,6,4,8,10,2,9,1,8,6,10,1,4,13,3,3,18,1,10,2,18,1,3,3,16,4,3,1,18,1,10,3,18,1,3,1,16,7,3,1,10,5,18,1,3,1,18,1,10,7,8,1,18,5,8,1,10,4,8,3,10,32,8,1,18,1,8,1,10,3,8,1,10,5,18,2,10,9,8,1,18,1,14,1,18,1,8,1,10,83,18,1,10,2,8,1,10,8,8,1,10,170,4,2,19,12,4,29,10,6,8,2,10,2,8,4,18,4,8,2,10,135,9,2,10,12,8,2,10,9,8,4,10,2,8,9,15,2,8,6,10,1,8,12,10,7,9,1,8,2,10,8,9,1,18,3,9,1,10,6,8,1,10,3,8,2,9,1,10,1,9,3,18,1,4,10,18,4,9,1,10,4,9,4,10,3,8,2,10,46,8,3,10,3,9,3,10,3,9,2,10,6,8,2,10,8,8,3,10,1,8,1,10,3,8,6,9,1,10,6,9,1,10,1,9,2,8,2,9,1,10,7,9,1,10,6,9,1,10,15,9,2,8,2,9,1,8,1,10,16,4,4,19,9,4,248,18,4,14,1,3,2,18,1,4,44,18,1,9,1,8,6,10,1,8,4,15,15,8,3,15,1,8,18,15,5,18,2,15,2,18,2,15,1,18,2,8,1,18,1,8,3,18,4,8,2,18,3,15,2,18,13,15,2,14,1,15,15,18,8,8,3,18,3,15,2,18,4,8,2,18,4,8,7,18,3,15,4,8,1,15,3,8,3,18,1,8,2,9,1,18,2,4,31,3,4,18,1,4,63,18,4,8,3,15,1,14,1,3,2,14,1,15,1,8,4,15,1,14,3,15,1,14,2,3,1,14,1,9,1,10,1,18,5,4,3,19,7,4,765,},
{4,691,19,4,4,3,10,11,9,1,4,1,19,7,4,6,10,1,8,7,10,2,4,14,3,1,16,1,3,1,18,1,10,3,18,2,3,1,16,4,3,4,18,3,3,1,16,6,3,1,10,4,8,1,18,2,10,9,8,1,18,5,8,1,10,4,8,2,10,32,18,2,8,1,10,3,8,2,10,3,8,1,18,2,8,1,10,5,8,2,10,1,8,1,18,1,14,1,18,1,8,1,10,51,8,1,10,214,4,2,19,13,4,23,10,15,8,1,18,2,8,4,10,21,8,3,10,115,8,2,10,11,8,3,10,8,8,4,10,1,8,4,9,1,10,1,8,4,15,2,8,6,10,2,8,8,10,2,9,2,10,2,8,2,10,2,8,2,9,1,10,7,9,1,18,3,9,1,10,5,9,1,8,2,10,3,8,2,9,1,10,5,4,10,18,2,9,3,10,3,9,4,10,53,8,3,9,1,10,6,9,3,10,5,8,2,10,8,8,4,10,1,8,1,10,4,8,1,10,1,8,3,9,1,10,6,9,1,10,1,9,1,8,1,18,2,9,1,10,14,9,2,10,6,9,1,8,4,9,1,10,2,8,3,10,4,8,3,10,12,4,5,19,9,4,248,18,3,3,2,18,2,4,45,10,2,8,5,10,1,8,3,15,13,8,5,15,1,8,18,15,6,8,1,18,1,15,2,18,2,15,1,18,1,8,2,18,3,8,1,18,2,15,1,18,1,8,2,18,6,9,2,18,4,15,2,18,4,15,18,18,8,8,2,18,5,15,1,18,4,8,3,18,6,8,2,18,5,15,1,18,2,15,5,8,6,9,1,18,1,4,32,18,1,3,2,18,1,4,64,18,5,8,2,15,1,14,1,3,3,14,1,18,1,8,3,15,1,14,6,3,1,14,1,9,2,18,1,3,1,14,1,18,2,4,3,19,9,4,763,},
{4,698,10,4,8,1,10,1,18,2,10,4,4,1,19,7,4,6,9,1,8,6,10,3,4,12,18,2,3,1,16,1,3,3,18,1,10,2,18,1,3,1,16,5,3,1,16,1,3,4,16,7,3,1,18,3,3,2,18,1,10,11,8,2,18,3,8,1,10,34,18,2,10,2,8,1,18,1,8,2,10,1,8,1,18,1,8,1,10,2,8,3,10,3,8,1,10,3,8,1,18,1,8,2,18,1,8,1,10,32,8,1,10,20,8,1,10,13,8,3,10,198,4,2,19,14,4,22,10,15,8,1,18,2,8,1,10,24,8,4,10,113,9,3,10,11,8,3,10,8,8,4,9,1,8,4,10,3,8,6,10,2,9,1,8,3,10,1,8,8,10,2,9,1,8,1,9,1,8,3,10,2,8,2,10,9,9,4,10,4,9,1,8,3,10,3,8,2,9,1,10,5,4,10,18,1,9,3,10,3,9,2,8,2,9,1,10,27,9,1,10,26,8,3,10,6,9,3,10,3,8,4,10,7,9,1,8,6,10,5,8,4,10,10,9,1,8,2,9,1,10,14,9,1,8,1,9,1,10,5,8,6,10,2,8,1,18,1,8,1,10,4,8,4,10,11,4,6,19,8,4,249,18,1,3,3,18,1,4,46,10,2,8,9,15,12,8,5,15,2,8,12,10,1,9,1,8,3,15,6,8,2,18,2,15,1,18,4,8,2,18,1,15,1,18,1,8,2,18,1,14,2,18,1,8,1,18,2,8,3,9,1,10,2,9,1,18,3,15,1,14,1,15,1,18,3,15,8,18,1,15,9,18,22,8,2,18,9,15,5,18,1,15,6,8,6,18,1,4,32,18,1,3,2,4,66,18,1,3,3,14,10,15,1,8,2,14,2,3,2,14,2,3,1,14,1,8,1,9,1,18,1,14,1,15,1,18,3,4,6,19,6,4,762,},
{4,698,10,6,18,1,3,1,18,1,10,2,18,1,4,1,19,7,4,6,9,1,8,6,10,3,4,12,18,2,3,6,18,3,3,1,16,18,3,6,10,14,8,1,18,2,8,1,10,16,8,2,10,21,8,3,10,2,8,6,10,3,8,1,18,1,8,1,10,2,8,1,18,1,8,1,10,35,8,1,10,35,8,1,10,6,18,2,10,47,8,1,10,143,4,3,19,13,4,22,10,5,18,4,8,1,10,5,8,1,18,2,8,1,10,23,8,5,10,113,9,1,10,15,8,3,10,6,8,5,9,1,8,3,10,5,8,3,10,3,9,1,8,3,10,1,8,8,10,2,9,1,8,3,18,1,8,1,9,2,8,3,10,1,8,3,10,1,8,1,10,5,9,3,8,6,10,3,8,2,10,6,18,1,4,8,18,2,9,3,10,2,9,1,8,3,9,1,10,27,9,1,8,1,10,27,8,2,10,5,9,3,10,4,8,3,10,8,8,3,10,2,8,2,10,5,8,4,10,3,9,1,10,2,9,2,10,2,9,3,10,15,9,1,8,3,9,1,10,3,8,1,18,1,8,2,18,1,8,1,9,1,8,1,18,2,8,1,10,4,8,4,10,9,18,1,4,2,19,3,4,2,19,4,4,254,18,1,3,2,18,1,4,46,10,2,8,9,15,11,8,6,15,2,8,18,15,5,8,3,18,6,8,2,18,3,8,1,9,1,8,1,14,2,8,1,9,3,10,7,9,2,8,1,18,1,15,4,18,2,15,6,18,1,8,2,15,8,18,15,15,1,18,16,15,10,8,2,15,3,8,4,18,2,4,100,18,2,14,1,3,1,14,2,15,1,8,2,15,1,14,2,3,2,14,1,8,2,14,8,8,2,15,1,14,1,18,1,8,1,10,2,4,7,19,5,4,762,},
{4,698,10,6,3,2,18,1,10,1,18,1,4,1,19,8,4,6,9,1,8,6,10,3,4,14,18,1,3,2,18,1,3,2,18,2,3,1,16,22,3,1,18,1,10,15,8,2,18,1,8,1,10,16,8,1,10,7,18,3,10,13,8,2,10,5,8,1,10,5,8,2,18,1,8,2,18,1,8,1,10,54,8,1,10,15,8,2,10,6,18,3,10,38,8,4,10,6,8,2,10,143,4,2,19,12,4,19,10,7,18,6,8,1,10,4,8,1,14,2,8,1,10,22,8,6,10,109,9,5,10,16,8,5,9,1,10,3,8,4,10,2,8,2,10,11,8,13,10,3,8,3,18,1,8,12,10,5,9,1,8,1,18,2,8,2,9,1,10,5,8,2,10,6,18,10,9,2,10,3,9,2,8,3,9,1,10,26,9,1,8,3,10,32,9,3,10,5,8,3,10,3,8,2,10,2,9,1,8,2,10,3,8,2,10,4,8,4,9,1,10,3,9,2,8,3,9,1,10,2,9,2,10,15,9,1,8,4,10,3,8,4,18,1,8,6,10,4,8,4,10,9,4,3,19,3,4,261,18,3,4,46,10,2,8,9,15,7,8,10,15,2,8,20,15,3,8,4,18,3,8,3,18,1,8,4,9,2,18,2,9,1,10,8,9,4,8,1,18,3,15,1,18,6,15,3,8,3,15,9,18,13,15,3,18,14,15,10,8,3,15,3,8,3,18,5,4,93,19,3,4,2,18,6,8,4,14,1,3,1,16,2,3,1,15,2,14,4,15,1,14,3,8,2,18,2,8,1,10,4,18,1,4,6,19,4,4,762,},
{4,698,10,4,8,2,3,2,18,1,10,1,4,2,19,8,4,6,9,1,8,7,10,1,9,1,4,15,18,3,3,4,16,15,3,1,16,2,3,3,16,1,3,2,8,1,10,1,18,2,10,40,18,1,10,1,18,1,10,7,8,2,10,4,8,1,18,1,8,1,10,3,8,2,10,2,8,5,18,2,8,2,10,7,8,2,10,46,8,2,10,15,8,3,10,1,8,3,18,3,10,1,8,1,10,36,8,4,10,6,8,3,10,144,4,1,19,11,4,16,8,4,10,5,18,7,8,2,10,3,8,1,14,2,8,1,10,22,8,4,10,112,9,1,8,1,9,2,10,16,8,2,18,1,8,3,10,3,9,1,8,3,10,2,8,3,10,10,8,13,10,4,8,15,10,6,8,1,18,2,8,1,10,6,8,3,10,5,9,6,18,2,9,1,18,1,8,1,9,2,10,3,9,2,8,1,9,1,10,16,8,2,10,10,9,1,8,2,10,22,8,1,10,9,9,3,10,6,8,2,10,4,8,2,10,3,8,2,10,3,8,2,10,4,8,4,9,1,10,4,9,1,8,4,9,4,10,16,9,5,10,2,9,1,8,10,10,3,8,6,10,7,4,2,19,6,4,309,10,1,8,10,15,5,8,12,15,2,8,6,10,2,8,4,15,1,8,7,15,2,8,6,18,2,8,2,18,2,8,4,10,2,9,2,10,5,9,1,10,1,9,1,18,3,9,2,8,1,18,8,8,2,18,1,15,2,8,3,15,9,18,7,15,1,18,2,15,7,18,7,15,1,18,5,15,9,8,4,15,3,8,3,18,5,4,93,19,4,4,1,18,3,8,6,18,1,14,2,3,3,14,4,15,1,8,2,18,1,14,1,15,1,8,9,18,2,4,3,18,1,4,2,19,3,4,762,},
{4,693,19,4,4,2,10,3,8,1,10,1,3,2,18,1,10,1,4,2,19,6,4,8,9,1,8,2,10,1,8,5,9,1,4,6,19,6,4,3,18,3,3,1,16,21,18,1,10,1,18,1,3,1,18,3,3,1,16,2,18,1,10,23,8,2,10,1,8,1,10,6,8,2,10,5,8,2,10,7,8,2,10,4,8,1,18,1,8,1,10,3,8,2,10,2,18,2,8,4,10,6,8,3,18,2,8,1,10,29,18,1,10,13,8,5,10,17,8,10,10,4,8,2,10,3,8,2,10,25,8,4,10,6,8,3,10,144,4,2,19,8,4,17,18,1,8,4,10,4,8,1,18,8,8,4,18,1,14,1,18,1,10,24,8,3,10,4,8,2,10,77,8,2,10,27,9,3,10,7,9,1,10,9,8,6,10,5,8,2,10,2,8,3,10,10,8,13,10,4,8,15,10,6,8,3,9,1,10,6,9,1,10,6,9,4,8,2,9,1,8,5,9,1,10,4,9,1,8,2,9,1,10,16,8,3,10,9,9,2,10,23,8,1,10,10,9,2,10,12,8,2,10,3,8,2,10,3,8,1,10,5,8,4,10,6,9,1,8,1,18,1,8,4,9,1,10,25,9,1,8,5,10,6,8,6,10,8,4,1,19,7,4,308,9,1,8,10,15,3,8,14,15,2,8,6,10,3,8,2,15,3,8,6,15,2,8,2,18,2,8,2,18,2,8,2,18,2,8,1,9,1,8,2,9,1,10,7,8,1,18,1,8,1,18,1,3,2,14,1,18,11,8,2,18,1,15,2,8,3,15,10,18,9,15,6,18,6,15,8,18,8,8,3,10,1,8,1,15,3,8,3,18,2,8,1,18,2,4,5,19,5,4,83,19,4,4,1,3,1,18,3,8,3,18,1,15,5,14,2,3,4,18,1,10,1,9,1,8,1,15,2,8,5,18,1,15,1,18,4,4,3,18,2,4,766,},
{4,692,19,6,4,1,10,5,18,1,3,1,18,1,10,1,4,2,19,5,4,9,9,1,8,2,10,1,8,5,9,1,4,6,19,7,4,4,18,1,3,1,16,15,3,3,16,3,3,1,9,1,18,4,3,2,16,2,18,1,10,12,8,3,10,8,8,5,10,3,8,1,18,3,8,2,10,2,8,2,10,4,8,1,10,3,8,2,10,4,8,1,18,1,8,1,10,3,8,1,18,1,8,5,10,1,8,1,10,6,8,4,18,2,8,1,10,27,8,1,10,1,18,1,10,13,8,2,18,1,8,2,10,18,8,5,10,3,8,2,10,5,8,6,10,6,8,1,10,7,8,3,10,7,8,3,10,8,8,1,10,145,4,22,18,1,10,3,18,1,10,1,8,3,10,2,8,3,18,10,8,2,18,2,14,1,18,1,10,25,8,2,10,3,8,3,10,77,8,2,10,35,9,1,8,1,9,1,10,9,8,6,10,6,9,1,8,5,10,10,8,7,10,4,8,2,10,4,8,2,9,1,8,8,10,11,8,2,9,1,10,13,8,2,10,2,8,7,10,6,8,2,10,19,8,2,10,45,9,2,10,12,8,2,10,3,9,2,10,10,8,3,10,7,9,1,8,6,9,1,10,20,9,1,10,4,8,1,10,1,8,3,10,4,9,1,8,6,10,8,4,1,19,7,4,309,9,1,8,11,15,2,8,6,18,2,8,6,15,2,8,6,10,4,8,1,15,3,8,2,10,2,8,2,15,2,8,2,18,2,8,2,18,6,8,1,9,2,8,2,10,6,8,1,18,3,14,1,3,3,14,1,18,11,8,1,18,1,15,2,8,3,15,8,18,9,15,8,18,5,15,9,18,2,8,8,10,3,8,1,15,1,8,4,18,2,8,1,9,1,18,1,4,1,18,1,4,3,19,6,4,82,19,4,4,2,18,4,8,2,18,1,15,5,14,1,3,2,16,2,3,1,8,1,10,2,8,1,18,1,15,1,18,1,8,3,15,1,14,2,15,1,18,4,4,2,18,2,4,766,},
{4,692,19,5,4,2,10,5,18,4,4,16,9,1,8,8,9,1,4,6,19,7,4,5,18,1,3,1,16,14,3,1,9,1,18,1,3,1,16,3,3,2,16,3,3,3,18,2,8,1,10,11,8,1,18,1,8,1,10,7,8,6,10,3,8,1,18,3,8,2,10,19,8,3,10,1,8,1,18,2,8,3,10,9,18,2,10,16,8,1,10,16,8,1,10,15,8,1,18,2,8,1,10,19,8,4,10,4,8,2,10,5,8,6,10,187,4,3,10,14,9,1,8,1,9,2,8,1,10,4,18,10,14,1,18,5,14,3,18,1,10,25,8,3,10,3,8,2,10,113,9,1,8,2,9,1,10,12,8,2,10,2,8,2,10,3,8,5,10,5,8,1,10,1,9,1,10,4,8,6,10,4,8,2,10,4,8,2,9,1,8,8,10,11,8,4,10,11,9,1,8,2,10,2,8,4,18,1,8,2,10,5,8,3,10,14,8,1,10,5,8,1,9,1,10,56,8,5,10,2,9,2,10,10,8,2,9,1,10,11,9,1,8,2,9,1,10,20,8,2,10,3,8,5,10,3,8,4,10,11,4,2,19,6,4,310,18,1,8,12,15,1,8,6,18,2,15,1,8,13,10,4,8,1,15,3,8,2,10,2,8,3,15,2,18,4,8,2,18,1,15,2,18,3,8,5,10,2,9,1,8,1,18,5,14,2,3,3,18,12,15,3,8,3,15,9,18,10,15,6,18,5,15,8,18,3,8,5,18,1,8,2,10,3,8,9,9,1,18,3,4,3,19,6,4,82,19,5,4,2,18,3,8,3,18,1,15,1,14,4,3,2,16,2,3,1,18,1,10,1,8,1,18,1,15,3,8,3,14,4,18,3,9,1,10,2,18,4,4,764,},
{4,691,19,6,4,2,10,4,18,2,3,3,18,1,4,15,9,1,8,8,9,1,4,6,19,8,4,4,18,1,3,2,16,12,3,1,9,1,10,1,18,1,3,1,16,3,3,1,16,3,3,2,18,1,8,1,10,1,8,2,10,3,18,3,10,5,8,3,10,9,8,4,10,3,8,1,18,2,8,4,10,9,8,2,10,9,8,3,18,3,8,2,10,8,8,3,10,27,8,7,10,15,8,1,18,1,8,1,10,20,8,4,10,4,8,2,10,5,8,6,10,150,8,3,10,59,18,10,14,10,18,1,10,26,8,2,10,3,8,1,10,99,8,1,10,14,9,3,10,5,9,1,8,4,10,6,8,3,9,1,10,2,8,4,9,1,10,5,8,4,10,4,8,6,10,3,8,2,10,4,8,4,18,2,8,5,10,5,8,2,10,5,8,4,9,1,10,7,9,2,8,4,10,1,8,4,18,1,8,1,10,4,8,4,10,14,8,3,10,4,8,2,9,2,10,38,9,1,10,13,8,7,9,3,8,3,10,9,8,1,10,3,9,1,8,1,9,1,10,7,9,1,8,1,9,1,10,19,9,1,8,2,10,2,8,2,9,1,8,3,10,3,8,3,10,12,4,2,19,6,4,310,18,1,8,12,15,1,8,5,18,2,15,2,8,13,10,5,8,1,15,2,8,7,15,2,18,1,8,1,18,3,8,1,18,1,14,2,18,4,8,2,18,6,14,2,18,6,14,2,18,9,15,1,18,3,15,1,18,1,8,4,15,3,18,1,15,4,18,11,15,4,18,3,8,2,18,1,15,2,18,7,8,6,18,1,15,1,8,2,10,4,8,10,18,2,4,3,19,6,4,82,19,6,4,2,18,3,8,1,10,1,8,2,15,1,14,3,3,5,18,1,8,1,18,1,14,2,15,3,8,2,15,1,14,3,15,1,8,3,10,2,9,1,18,5,4,762,},
{4,690,19,7,4,2,10,3,18,1,3,2,16,2,3,1,18,1,4,15,8,8,18,2,4,6,19,9,4,3,18,2,3,3,16,9,3,1,18,1,10,1,18,1,3,8,18,3,8,1,18,2,8,1,10,3,18,2,10,1,18,2,8,1,10,22,8,2,10,2,8,5,10,7,18,2,8,1,10,10,8,6,10,7,8,2,10,29,8,7,10,15,8,3,10,20,8,4,10,4,8,2,10,6,8,5,10,148,8,6,10,44,8,5,10,5,8,2,18,12,14,9,18,1,8,1,10,26,8,1,10,103,8,3,10,5,9,1,10,14,9,1,18,2,8,3,10,7,8,3,10,2,8,4,10,6,8,4,10,4,8,7,10,1,8,3,9,1,10,2,9,1,8,5,18,1,8,5,10,5,8,2,10,5,8,1,18,3,8,1,9,1,10,6,9,1,8,12,10,4,8,5,10,13,8,3,10,5,8,1,9,2,10,36,9,5,10,11,8,13,10,13,9,1,8,2,10,7,9,1,8,1,9,1,10,12,9,2,10,5,9,1,8,2,10,3,8,1,10,1,8,3,10,3,8,3,10,12,4,318,18,1,8,11,15,2,8,5,18,1,15,3,8,9,15,1,8,3,9,1,10,4,8,11,15,1,18,1,8,2,18,2,8,1,18,1,14,2,18,4,8,2,18,6,14,2,18,4,8,1,18,12,15,1,18,1,15,4,18,2,15,1,8,2,18,1,15,1,18,1,15,4,18,8,15,1,18,1,15,6,18,1,8,3,15,3,8,13,15,2,8,2,10,4,8,5,18,2,8,4,18,2,4,3,19,5,4,82,19,7,4,1,18,1,8,2,10,3,8,1,18,1,14,2,15,2,3,3,14,1,18,2,14,1,3,1,14,3,15,2,8,1,15,1,14,3,15,1,8,1,15,1,8,4,18,2,15,1,3,1,18,2,4,761,},
{4,690,19,7,4,2,10,2,18,2,3,1,16,3,3,1,18,1,4,16,9,1,18,3,10,1,9,2,18,1,4,8,19,9,4,1,18,1,3,5,16,8,3,1,18,1,10,2,18,1,3,1,16,1,3,1,18,5,4,2,10,2,18,2,10,38,8,2,10,7,8,1,18,2,8,4,10,8,8,4,10,7,8,2,10,5,8,3,10,25,8,4,10,15,8,3,10,15,8,2,10,20,8,4,10,148,8,1,18,1,14,1,18,2,8,2,10,42,8,4,18,1,8,2,10,3,8,3,18,3,8,8,18,1,15,2,14,6,15,1,8,1,10,99,9,2,8,1,10,29,8,3,10,5,9,2,10,13,9,1,18,2,8,3,10,7,8,3,10,2,8,5,9,1,10,4,8,1,9,2,8,1,9,1,10,2,8,2,10,2,8,8,9,1,10,1,9,1,8,13,10,5,8,1,10,5,8,6,9,6,8,13,10,3,8,5,10,14,8,4,10,27,8,3,10,16,9,2,10,11,8,5,10,1,8,7,10,13,9,1,8,2,10,7,9,1,8,1,9,1,10,7,9,1,10,4,9,3,10,4,9,2,10,12,8,3,10,2,8,3,10,7,4,318,18,1,8,17,18,4,15,3,8,3,10,1,8,2,15,3,8,4,10,3,8,11,15,1,8,4,18,32,8,2,18,2,15,10,8,1,18,1,15,6,18,1,15,2,18,4,15,10,8,4,15,1,8,19,9,3,8,2,18,6,8,5,18,1,4,3,19,3,4,83,19,7,4,2,9,1,8,2,10,3,8,1,15,2,8,2,18,1,3,1,18,4,3,2,14,5,15,1,8,2,14,2,15,1,8,1,15,2,14,1,15,2,18,1,15,1,14,3,18,1,4,761,},
{4,690,19,6,4,2,10,3,18,2,3,1,16,3,3,1,4,3,19,5,4,15,18,1,4,10,19,4,4,2,19,2,3,5,16,10,3,1,18,1,10,2,18,1,3,3,18,1,4,6,10,18,8,1,10,23,8,2,10,7,8,5,18,1,8,1,10,2,8,3,10,3,8,1,18,3,10,3,8,1,18,2,8,1,10,6,18,1,14,1,18,1,8,1,10,26,8,3,10,15,8,1,18,1,8,1,10,10,18,2,10,3,8,4,10,7,8,1,10,10,8,4,10,35,8,2,10,110,8,1,18,1,14,3,18,2,8,1,10,44,8,5,10,5,8,2,18,1,8,2,10,5,8,4,15,1,14,6,18,1,8,1,10,30,8,1,10,49,18,1,10,19,9,1,8,1,10,30,8,2,10,6,9,1,10,1,9,1,8,2,9,1,10,8,9,2,8,4,10,3,9,1,8,1,10,2,8,2,10,2,8,7,10,4,8,1,10,2,8,2,9,2,8,1,10,3,8,8,10,1,9,1,8,4,10,2,8,8,10,5,8,1,10,4,8,1,9,1,8,1,9,3,8,2,18,3,8,15,10,3,8,6,10,9,8,2,10,3,8,3,10,2,9,1,10,23,8,4,10,16,9,3,10,10,8,4,10,3,8,5,10,5,8,2,10,2,8,1,9,1,10,3,9,1,8,2,10,7,8,1,18,1,8,1,10,5,18,3,9,1,10,3,9,4,10,21,8,4,10,4,4,321,18,1,8,11,15,2,8,4,18,4,15,4,8,1,10,3,8,1,15,3,8,5,10,3,8,3,15,3,8,4,15,1,8,1,9,2,8,1,18,4,8,1,18,7,8,1,18,2,8,3,18,13,8,4,18,1,15,1,14,1,15,3,18,1,15,4,18,1,15,12,18,2,15,3,8,2,15,6,8,3,15,1,8,6,15,2,8,9,15,2,8,4,18,7,8,2,9,1,10,2,18,2,4,88,19,7,4,2,18,1,8,9,15,1,18,3,9,1,18,2,3,2,14,6,8,2,15,2,8,2,15,1,14,3,15,3,14,2,18,2,4,12,19,3,4,746,},
{4,690,19,6,4,2,10,3,18,1,3,2,16,1,3,2,18,1,4,2,19,6,4,10,19,3,4,14,19,2,4,3,19,2,3,3,16,12,3,1,18,1,10,1,18,1,3,1,16,2,3,1,18,1,4,6,10,18,8,2,10,30,8,2,10,1,8,1,18,2,8,2,10,2,8,1,18,2,10,4,8,1,18,1,8,1,10,2,8,1,18,1,3,1,18,1,8,1,10,5,8,1,18,3,8,1,10,25,8,3,10,16,8,1,18,1,8,1,10,4,8,1,10,6,18,2,10,3,8,4,10,11,8,1,10,3,8,2,10,1,8,3,10,28,8,1,10,6,8,1,10,111,8,1,18,1,14,3,18,2,8,1,10,67,8,2,18,1,15,2,14,1,15,1,8,1,10,133,8,2,10,10,9,3,10,4,9,3,10,2,9,3,8,3,10,6,8,2,10,2,8,4,9,2,8,1,10,4,9,1,10,3,8,4,10,3,8,8,9,2,8,1,9,1,10,4,8,4,10,2,8,2,10,9,8,2,10,5,8,1,18,1,15,1,18,1,8,1,9,2,8,3,10,2,8,8,10,4,8,6,10,8,8,3,10,3,8,2,10,2,8,1,10,57,8,2,10,3,8,7,10,4,8,6,10,3,9,1,8,2,10,7,8,1,18,1,8,1,10,4,9,1,18,3,9,1,10,4,8,2,9,1,10,19,8,6,10,3,4,322,18,1,8,11,15,2,8,8,15,3,8,3,10,2,8,1,15,4,8,1,15,1,8,3,10,3,8,2,15,3,8,6,9,1,10,1,9,1,8,1,18,2,8,2,18,2,8,2,18,2,8,6,9,1,18,2,14,1,18,2,14,2,18,3,8,1,18,3,8,3,18,1,15,1,18,1,15,4,18,1,15,21,8,3,15,6,8,2,15,1,8,3,15,3,8,1,15,2,8,8,15,1,14,1,15,1,18,1,8,2,15,1,18,5,8,3,9,1,10,2,9,1,18,1,4,89,19,6,4,3,18,2,15,2,18,1,8,3,18,1,14,2,18,1,9,2,18,1,15,1,14,2,15,1,14,2,3,1,16,1,14,1,8,3,15,1,8,2,15,1,14,3,15,1,18,1,15,3,18,1,4,12,19,5,4,745,},
{4,698,10,3,18,1,3,4,18,1,4,3,19,6,4,8,19,6,4,17,18,1,4,2,18,1,3,3,16,11,3,1,10,2,3,1,16,4,3,2,18,1,4,4,10,7,8,1,18,2,10,7,18,1,8,1,10,8,8,7,10,13,8,3,18,1,8,1,10,2,18,2,10,5,8,2,10,9,8,1,18,1,14,1,18,1,10,2,8,2,10,16,8,1,18,2,10,31,8,1,18,3,10,3,8,1,18,1,8,1,10,6,8,2,10,3,8,6,10,5,8,7,10,147,18,2,10,4,8,1,18,6,8,2,10,70,8,2,10,29,8,2,10,72,8,1,10,21,9,2,10,6,8,4,9,1,10,21,9,1,8,6,9,1,10,2,8,1,18,1,8,7,10,13,8,2,10,4,8,4,10,3,8,2,10,7,8,4,10,3,8,1,10,10,8,2,10,5,8,1,18,1,8,1,10,4,8,2,10,2,8,8,10,6,8,4,10,4,8,1,9,1,10,3,8,2,10,3,8,1,9,1,10,17,8,2,9,1,10,45,8,7,10,5,8,5,10,4,8,2,10,2,8,1,9,1,10,4,8,2,10,3,9,3,18,1,8,2,10,4,8,3,10,5,9,3,10,3,9,2,8,2,10,3,8,4,10,6,4,321,18,1,8,2,15,1,8,2,10,1,8,5,15,3,18,2,8,5,18,1,15,2,8,7,15,1,14,2,15,1,18,2,8,2,9,1,10,2,9,1,8,1,18,1,15,2,18,2,8,1,9,2,8,2,9,2,10,1,8,1,18,6,9,1,10,1,9,1,8,3,18,14,8,3,18,10,14,1,18,3,15,20,8,2,15,7,8,1,15,3,8,1,15,1,14,1,15,1,8,2,15,3,8,1,10,2,8,1,15,1,8,2,18,8,8,7,10,5,4,88,19,8,4,2,10,1,18,7,14,4,15,1,18,1,15,4,8,1,14,1,3,1,16,2,3,1,15,1,8,5,15,4,8,1,18,1,15,2,8,1,10,2,4,2,18,1,4,9,19,4,4,745,},
{4,698,18,1,10,2,18,1,3,3,18,1,4,4,19,10,4,3,19,7,4,16,18,4,4,1,18,2,3,1,16,11,3,1,10,2,3,1,16,4,3,4,18,1,4,1,10,6,8,1,18,4,10,1,18,1,10,4,18,2,10,8,8,8,10,13,18,4,8,1,10,2,8,2,10,14,18,1,10,1,8,1,18,2,8,1,10,3,8,1,18,1,8,1,10,5,8,1,10,7,8,1,18,1,14,1,18,1,8,1,10,30,8,1,18,3,10,3,8,1,18,2,10,12,8,5,10,5,8,6,10,155,8,7,10,102,8,2,10,8,8,2,10,74,8,3,10,6,9,3,10,5,9,1,8,3,9,1,10,21,8,3,9,1,8,3,9,1,10,3,8,1,18,1,8,2,9,1,10,23,8,4,10,12,8,4,10,4,9,1,8,1,10,8,8,2,10,5,8,1,9,1,10,6,8,1,10,3,8,3,10,2,8,2,10,6,8,4,10,4,8,1,9,1,10,3,8,1,9,1,10,2,9,3,10,17,8,3,10,44,8,8,10,3,8,1,10,3,8,3,10,3,8,2,9,1,10,2,8,2,10,4,8,1,9,1,10,3,9,1,10,1,9,2,8,1,10,5,8,3,10,4,9,1,8,2,9,5,8,3,10,3,8,4,10,4,9,1,4,322,18,1,8,2,15,1,8,8,15,3,18,2,8,5,18,1,15,1,8,5,9,2,8,1,15,2,14,1,15,1,18,2,8,3,9,3,8,2,18,4,8,1,9,2,8,4,9,1,8,1,18,6,9,1,10,2,9,1,8,1,18,15,8,1,9,1,8,1,18,7,8,1,18,2,15,1,18,4,15,19,8,2,15,7,8,1,15,3,8,1,15,1,14,2,8,3,15,2,8,1,10,2,8,1,15,1,8,3,18,6,8,9,9,1,10,2,4,91,19,6,4,2,10,1,8,3,18,5,15,8,8,2,14,1,3,1,16,2,3,1,18,1,10,1,8,4,15,2,8,1,9,3,8,2,9,1,10,3,18,5,4,6,19,5,4,744,},
{4,688,19,5,4,2,10,3,18,1,10,2,18,1,3,4,4,4,19,20,4,11,10,5,18,1,3,2,18,1,10,2,18,1,3,2,16,10,18,1,4,3,18,1,3,1,16,1,3,5,18,1,10,6,18,5,10,2,18,1,9,1,8,1,10,12,8,4,10,2,8,3,10,11,8,1,18,3,8,1,10,3,8,2,10,14,18,1,10,2,8,3,10,4,18,2,10,4,8,1,18,1,8,1,10,5,8,1,3,3,18,1,10,18,8,2,10,11,8,2,18,1,8,1,10,4,18,2,10,12,8,5,10,8,8,3,10,264,8,2,10,76,8,3,10,5,9,1,8,2,10,11,8,3,9,1,10,21,8,6,10,1,9,2,8,2,10,6,9,1,10,26,8,3,10,12,8,4,10,8,8,2,10,4,8,4,10,10,8,2,10,2,8,3,10,3,8,2,10,7,8,2,10,5,8,1,10,4,8,1,10,3,9,1,10,20,8,1,10,4,9,1,10,39,8,5,10,1,8,3,10,2,8,3,10,7,8,2,9,1,10,4,9,1,10,4,8,1,9,1,10,5,9,2,8,1,10,5,8,3,10,5,8,2,9,5,8,3,10,3,8,3,10,5,18,1,4,322,18,1,9,1,8,6,15,7,18,2,8,5,15,2,8,2,9,1,8,1,9,1,10,3,8,1,15,2,18,1,8,5,9,4,8,2,18,5,8,6,18,7,9,1,10,1,8,2,18,12,15,1,18,3,8,2,18,14,8,2,18,1,15,33,14,2,8,3,15,2,8,1,10,2,15,2,8,5,18,3,8,7,18,5,4,5,19,4,4,83,19,5,4,3,10,3,8,11,18,1,15,4,14,1,3,3,14,1,8,1,10,1,8,3,18,1,15,2,8,1,9,1,10,7,8,1,18,1,14,2,18,3,10,2,4,2,19,6,4,744,},
{4,688,19,5,4,1,10,7,18,1,3,4,4,4,19,20,4,10,10,6,18,1,3,2,18,1,10,2,18,1,3,3,16,8,3,1,18,1,4,4,18,1,3,1,18,1,10,1,9,1,18,2,9,1,10,6,8,1,18,2,8,1,10,5,8,1,10,7,8,3,10,2,8,2,10,5,8,3,10,4,8,2,10,4,8,2,18,2,8,1,10,25,8,1,10,3,18,2,10,4,18,3,10,5,18,1,3,3,18,1,10,17,8,3,10,6,8,1,10,5,8,1,18,1,8,1,10,3,8,1,18,2,8,1,10,4,8,1,10,7,8,4,10,8,8,2,10,265,8,2,10,3,8,1,10,71,8,5,10,5,9,1,8,1,9,1,10,10,8,1,18,1,8,1,10,8,9,3,10,11,8,6,10,3,8,1,9,1,10,44,8,2,10,3,8,3,10,7,9,1,8,2,10,4,8,6,10,8,8,7,10,4,8,1,10,19,9,1,10,2,9,2,10,25,9,1,10,22,9,4,10,11,8,6,10,3,8,3,10,3,8,1,10,7,8,2,10,9,9,1,8,1,10,7,9,2,10,4,8,4,10,4,9,10,10,4,8,3,10,5,4,324,9,1,8,2,15,11,18,2,8,5,15,2,8,2,9,2,10,4,9,1,8,1,15,1,8,10,9,2,8,2,18,12,8,4,9,2,8,1,18,16,8,5,9,1,8,1,18,4,14,1,15,1,18,1,8,1,18,2,8,2,18,1,15,36,8,2,15,2,8,1,10,1,9,1,15,3,8,2,18,5,8,6,18,6,4,5,19,5,4,82,19,5,4,3,18,1,10,3,8,11,15,4,14,2,3,2,14,1,15,1,8,1,18,1,15,5,8,1,10,6,9,1,8,1,15,2,14,4,18,2,10,1,4,2,19,2,4,2,19,2,4,744,},
{4,688,19,5,4,1,10,6,18,1,3,5,4,2,19,20,4,7,19,4,4,2,10,4,18,3,3,1,18,3,3,3,16,7,3,4,4,4,10,11,8,1,10,19,8,3,10,2,8,2,10,5,8,1,18,1,8,1,10,4,18,2,10,6,18,2,8,1,10,1,8,1,10,8,8,1,10,6,8,1,18,1,8,3,10,3,8,1,10,3,18,2,10,3,8,1,18,3,10,5,8,1,18,4,10,13,18,1,10,3,8,1,18,1,8,2,10,4,8,5,10,3,18,1,8,1,10,3,8,1,18,2,8,1,10,13,8,3,10,8,8,3,10,264,8,2,10,2,8,2,10,72,8,3,10,4,9,1,10,1,9,2,8,3,9,1,10,7,9,2,10,8,9,1,8,1,9,2,10,10,9,1,8,4,9,1,10,4,9,2,10,44,8,2,10,13,8,3,10,5,8,6,10,6,8,2,18,1,8,5,10,16,8,3,9,1,10,4,9,1,10,2,9,2,10,49,8,3,10,2,8,2,10,6,8,7,10,3,8,3,10,11,8,2,10,9,9,2,10,7,9,2,10,4,8,3,10,5,8,1,9,6,10,5,8,2,10,1,8,2,10,5,4,323,18,1,8,3,15,11,18,1,8,6,15,2,8,4,10,5,8,8,18,2,8,2,9,1,10,2,8,2,18,1,15,1,18,1,8,2,18,6,9,1,10,1,9,2,10,1,9,1,8,1,18,3,15,2,18,10,8,2,9,4,10,1,9,1,18,4,14,2,18,9,15,34,8,2,15,3,8,2,15,3,18,9,8,4,18,6,4,4,19,6,4,82,19,6,4,2,18,1,8,7,18,2,8,5,15,4,14,9,15,3,8,2,9,1,10,4,9,2,8,1,15,2,14,1,15,2,18,4,4,752,},
{4,688,19,5,4,1,10,5,18,2,3,5,4,2,19,20,4,6,19,5,4,3,10,3,18,4,3,5,16,8,3,3,18,1,4,4,18,1,10,29,8,4,10,2,8,2,10,5,8,3,10,4,8,1,18,1,10,6,18,3,8,3,10,7,8,2,10,3,8,1,18,5,10,4,8,1,10,3,18,2,10,3,8,2,18,2,8,1,10,7,8,4,10,11,18,1,10,3,8,1,18,1,8,2,10,4,8,1,18,1,8,3,10,3,8,1,10,4,18,1,14,2,18,1,10,14,8,3,10,7,8,3,10,264,8,2,10,82,9,1,8,1,9,2,8,5,9,1,10,16,9,4,10,3,9,1,10,7,8,3,9,1,10,5,9,2,10,43,8,3,10,21,8,6,10,6,8,2,18,1,8,3,18,2,8,1,10,5,8,4,10,5,8,4,9,1,10,7,9,2,10,48,9,1,8,2,9,1,10,3,9,1,10,5,8,7,10,4,8,3,10,8,8,1,10,2,8,2,10,18,9,2,10,4,8,3,10,4,8,2,9,6,10,4,8,3,10,2,8,2,10,4,4,2,19,3,4,1,19,1,4,316,18,2,8,2,15,4,8,15,15,2,8,4,10,3,9,1,8,8,15,2,18,1,8,2,10,2,8,2,18,1,15,1,18,1,8,3,18,4,8,1,10,6,8,1,18,3,15,1,14,1,18,8,8,2,9,1,10,7,9,1,8,1,18,2,14,2,18,10,15,12,8,2,15,20,8,1,15,3,8,2,15,4,18,8,8,7,18,3,4,4,19,6,4,83,19,6,4,1,18,3,8,4,18,2,15,6,18,1,15,5,14,3,3,3,14,2,8,4,18,1,8,1,9,1,10,2,9,1,8,1,15,2,14,2,18,1,8,1,18,4,4,5,18,1,4,746,},
{4,688,19,5,4,1,10,5,18,2,3,4,4,3,19,20,4,6,19,6,4,4,10,5,18,1,3,4,16,8,3,3,4,3,18,1,3,3,18,1,10,9,18,3,10,3,18,2,10,8,18,2,8,4,10,10,8,1,10,9,8,4,18,1,14,1,18,2,8,1,10,8,8,3,10,2,18,2,10,2,18,2,10,7,8,1,18,2,10,3,8,1,10,2,8,2,10,8,18,2,8,1,10,15,8,3,10,5,8,1,18,2,8,2,10,8,18,1,3,2,18,1,10,14,8,4,10,6,8,3,10,264,8,2,10,82,8,9,9,1,10,17,9,3,10,12,9,2,10,8,9,2,10,18,8,5,10,18,8,3,10,20,8,3,10,2,8,3,10,3,8,7,18,3,8,1,10,4,8,5,10,5,8,5,10,8,9,1,10,23,9,1,10,24,9,1,8,2,10,10,8,7,10,4,8,3,10,7,8,2,10,2,8,1,10,18,9,3,8,2,10,1,8,3,10,5,8,3,9,5,10,4,8,3,10,2,8,2,10,3,4,2,19,7,4,314,18,3,15,1,8,1,15,4,8,16,15,1,8,5,9,2,8,2,15,1,8,6,15,3,8,2,9,2,8,1,18,3,8,2,9,1,8,4,18,1,9,1,10,6,8,1,18,3,15,2,18,8,8,1,9,1,10,10,8,1,18,1,8,1,18,10,15,12,18,1,8,2,15,6,8,2,15,12,8,2,15,2,8,2,15,10,18,2,8,6,10,1,8,2,18,1,4,4,19,9,4,81,19,5,4,1,18,4,8,4,18,1,15,13,14,2,3,1,16,1,3,1,14,1,15,1,8,1,10,1,9,1,15,1,14,2,15,1,8,1,9,1,8,1,15,2,14,3,8,3,18,3,4,4,18,1,3,1,18,1,4,745,},
{4,688,19,5,4,1,10,5,18,2,3,2,18,1,4,4,19,20,4,6,19,6,4,4,10,2,18,1,10,2,3,4,16,10,3,2,18,1,4,1,18,1,3,2,16,1,3,1,18,1,10,3,18,2,10,4,18,1,10,15,18,2,8,3,10,20,18,6,14,1,18,2,8,1,10,8,8,1,18,2,10,2,18,2,10,2,8,2,10,5,8,2,18,3,10,2,8,2,10,2,8,2,10,8,18,2,8,1,10,16,8,2,10,5,8,1,18,3,8,1,10,7,8,1,14,1,3,1,14,1,18,1,10,5,8,2,10,8,8,5,10,3,8,3,10,266,8,1,10,81,8,10,9,1,10,42,9,2,10,10,9,1,10,7,8,4,10,6,8,1,10,12,8,3,10,20,8,8,10,2,8,6,10,1,8,1,18,3,8,1,10,4,8,4,10,9,8,2,10,49,8,1,10,9,9,1,10,10,8,2,18,1,8,4,10,4,8,4,10,2,8,1,10,4,8,1,10,2,8,1,10,19,9,2,8,6,10,4,8,4,9,5,10,4,8,3,10,6,4,2,19,8,4,314,18,3,15,1,8,31,15,1,8,6,18,3,8,5,18,3,8,2,10,1,9,2,8,2,18,1,9,1,10,6,8,1,18,7,8,1,18,4,8,2,9,1,10,10,9,2,10,1,9,1,8,1,18,8,15,12,18,1,8,2,15,6,8,2,15,8,8,2,15,2,8,4,15,2,8,2,15,3,18,6,8,4,10,7,4,5,19,9,4,81,19,4,4,1,18,1,8,1,18,1,8,6,18,2,15,1,14,2,15,3,18,1,15,2,18,1,15,2,14,1,3,3,14,1,15,1,9,1,10,1,9,1,15,1,14,3,8,2,15,1,14,5,8,1,10,2,8,1,18,2,4,3,18,1,3,2,18,1,4,745,},
{4,688,19,5,4,1,10,5,18,4,4,5,19,20,4,6,19,5,4,5,10,1,9,1,18,1,10,1,18,1,3,4,16,10,3,6,18,1,3,1,18,1,10,2,18,3,4,3,10,1,18,1,10,11,18,1,10,14,8,1,10,10,18,2,10,1,8,1,18,8,8,2,10,8,8,1,18,2,10,2,18,1,8,1,10,8,8,1,18,4,8,1,10,3,8,1,10,2,8,1,10,5,8,2,10,2,8,2,10,18,8,1,10,5,8,2,18,2,8,1,10,7,18,1,14,1,3,1,14,1,8,1,10,7,8,1,10,8,8,1,10,2,8,1,10,272,8,1,10,79,8,3,9,2,8,5,10,2,9,3,10,18,9,2,10,2,9,1,8,3,9,1,10,13,9,2,10,19,8,2,10,6,8,3,10,11,8,5,10,19,8,6,10,4,8,4,10,3,8,1,18,2,8,1,10,4,8,1,18,1,8,1,10,11,8,1,10,4,9,1,10,36,9,4,10,3,8,2,10,4,8,1,10,4,4,6,10,1,9,4,8,1,18,3,8,2,10,3,8,1,10,3,8,6,10,5,8,3,10,18,9,1,8,7,10,4,8,4,9,5,10,4,8,3,10,6,4,3,19,7,4,314,18,1,8,51,18,1,8,3,9,2,8,1,18,2,8,1,10,5,9,1,18,4,8,7,18,2,8,2,9,1,10,10,9,1,10,3,8,1,18,2,8,1,18,4,15,14,8,2,15,6,8,2,15,8,8,2,15,2,8,4,15,2,8,3,15,1,18,4,8,5,10,9,4,8,19,6,4,86,10,2,8,2,18,4,8,4,15,1,14,2,15,5,8,2,18,1,15,1,14,3,15,1,8,1,9,1,10,1,8,1,15,1,14,3,8,2,15,1,14,2,3,1,14,2,8,2,10,1,8,1,18,6,3,2,4,746,},
{4,688,19,4,4,2,10,5,18,3,4,6,19,20,4,7,19,3,4,6,10,2,18,1,10,1,3,4,16,11,3,2,16,3,18,1,10,1,18,5,4,5,10,1,18,1,10,4,8,1,18,4,10,1,18,2,10,25,18,1,10,2,18,1,3,3,18,5,8,2,10,6,8,3,18,1,8,1,10,2,8,1,10,8,8,1,18,3,8,2,10,3,8,2,10,2,8,1,10,5,18,2,8,1,10,21,8,2,10,3,8,1,10,1,8,1,18,2,8,1,10,6,8,1,14,1,3,2,18,1,10,373,8,2,10,3,9,1,8,2,9,1,10,4,9,1,8,2,10,21,9,1,8,4,9,1,10,42,8,3,10,13,8,2,10,19,8,6,10,4,8,4,10,3,8,2,18,1,8,1,10,4,8,3,10,11,8,1,10,4,9,1,10,21,9,1,10,14,9,1,10,1,9,2,10,1,9,1,10,1,8,3,10,3,8,1,10,4,4,6,18,8,8,3,10,3,8,2,10,2,8,5,10,6,8,3,10,19,9,1,8,1,10,9,8,4,9,5,10,5,8,1,10,6,4,4,19,6,4,314,18,2,8,55,9,3,18,3,10,5,9,1,18,4,8,1,9,2,8,4,18,3,8,3,9,2,10,2,9,1,8,1,18,1,8,2,9,1,10,3,8,1,18,7,15,14,8,2,15,6,8,2,15,8,8,2,15,1,8,5,15,2,8,5,18,2,8,5,10,11,4,7,19,6,4,86,10,3,8,2,18,3,8,4,15,1,14,2,15,5,8,3,18,1,14,2,15,1,8,4,18,1,14,2,15,1,18,1,9,1,8,1,15,1,14,1,3,2,14,1,15,1,18,1,8,3,18,6,3,1,18,1,4,746,},
{4,694,10,5,18,3,4,8,19,21,4,13,10,3,18,1,3,3,16,11,3,3,16,2,3,1,10,2,3,1,16,1,3,1,18,1,4,6,10,6,8,1,18,1,3,2,18,1,10,2,18,1,10,6,8,2,10,1,8,3,10,14,18,1,10,1,18,1,3,1,18,3,8,2,18,3,8,1,10,6,8,2,18,1,8,2,10,11,8,1,18,3,8,3,10,1,8,1,18,2,8,1,10,1,8,1,10,5,18,2,8,1,10,20,8,3,10,2,8,2,10,1,8,1,18,2,8,1,10,5,8,1,18,1,3,3,18,1,10,20,8,1,10,366,9,1,8,1,10,21,9,1,8,4,9,1,10,29,9,1,10,12,8,3,10,14,8,1,10,14,8,1,10,5,8,4,10,6,8,9,10,5,8,3,10,11,9,1,10,4,9,1,10,9,9,1,10,34,8,2,10,3,8,1,10,4,4,12,18,2,8,2,10,4,8,2,10,2,8,4,10,7,8,3,10,3,8,1,9,1,10,14,9,1,10,9,8,5,9,5,10,5,8,1,10,2,4,8,19,5,4,315,18,2,8,2,18,1,15,1,8,51,9,2,8,1,18,3,9,1,10,1,9,3,8,1,18,3,8,7,18,7,8,4,18,2,14,2,18,1,8,1,10,1,9,2,8,1,18,1,15,1,14,1,18,3,15,15,8,2,15,6,8,2,15,7,8,9,15,2,8,9,10,8,8,2,10,4,18,4,4,5,19,4,4,79,19,5,4,2,18,1,8,1,10,1,8,2,18,4,8,3,15,1,14,3,15,4,8,4,15,2,8,2,15,6,8,1,9,2,8,1,15,1,14,4,15,1,18,1,8,2,18,1,14,2,18,6,4,6,19,10,4,730,},
{4,694,10,5,18,3,4,8,19,22,4,12,10,2,18,1,3,3,16,12,3,2,16,2,3,1,18,1,10,1,18,1,3,3,18,1,4,6,10,6,18,1,3,4,10,8,8,1,18,2,10,1,8,1,18,1,8,1,10,16,18,3,8,1,10,2,8,1,18,3,8,1,10,4,8,1,10,1,8,3,10,6,8,1,10,4,8,1,10,2,18,2,8,1,10,1,8,2,18,4,8,3,10,5,8,2,10,20,8,1,18,3,8,6,18,2,10,5,8,2,14,1,3,2,14,1,18,1,10,21,8,1,10,348,8,1,10,16,9,2,10,21,9,1,8,3,9,1,10,29,8,2,9,1,10,41,8,3,10,16,8,1,18,1,8,6,10,5,8,3,10,26,9,1,10,34,8,2,10,8,4,12,18,1,8,3,10,4,8,6,10,8,8,3,10,3,8,3,9,1,10,21,8,6,10,3,9,3,10,7,4,9,19,5,4,314,18,6,8,52,9,3,18,3,8,1,9,1,8,2,9,1,8,1,18,3,8,2,18,13,8,2,18,2,15,1,14,2,15,1,8,1,10,1,9,1,8,2,18,1,14,2,15,1,18,2,15,15,8,2,15,14,8,2,15,2,8,7,15,1,8,8,9,2,10,3,8,10,18,6,4,5,19,1,4,79,19,7,4,1,18,1,8,3,10,2,8,1,18,3,8,2,15,1,14,2,15,5,8,4,15,2,18,1,15,1,14,4,15,1,8,1,10,3,8,1,15,1,14,3,18,1,8,1,18,1,15,1,18,1,15,1,14,2,18,7,4,5,19,12,4,728,},
{4,687,19,4,4,3,10,4,18,4,4,8,19,27,4,4,18,2,10,2,18,1,3,4,16,15,3,1,18,2,3,3,18,1,10,2,4,6,18,1,9,1,10,4,18,1,3,1,16,2,3,1,10,8,18,3,10,1,18,2,10,17,8,1,18,1,8,1,10,3,18,1,3,2,18,1,10,8,8,1,10,15,8,2,10,2,8,1,18,3,14,1,18,1,8,4,10,25,8,1,18,4,8,6,18,2,10,4,8,2,18,2,3,2,14,1,8,1,10,31,8,3,10,376,9,4,10,30,8,1,9,1,10,6,9,1,10,34,8,4,10,10,8,3,10,2,8,2,18,2,8,5,10,5,8,2,10,4,8,3,10,5,9,1,10,4,9,1,10,8,9,4,10,42,4,12,18,1,9,2,10,5,8,6,10,8,8,2,10,4,8,4,10,21,8,4,10,15,4,8,19,6,4,314,18,6,8,52,10,2,9,1,18,4,9,1,8,2,9,2,18,2,8,2,18,6,8,5,18,2,8,4,18,3,14,1,18,1,8,1,10,1,8,3,18,1,15,2,18,3,15,31,8,2,15,2,8,7,15,1,8,8,9,1,8,1,9,1,8,11,18,2,8,2,18,4,4,84,19,7,4,1,18,2,8,1,10,5,18,4,15,7,18,1,8,3,18,1,15,3,14,3,3,1,14,2,8,1,9,1,10,1,9,1,8,1,18,1,15,3,8,3,15,3,14,2,18,4,3,2,18,4,4,2,19,12,4,728,},
{4,686,19,6,4,2,10,4,8,1,18,3,4,8,19,27,4,2,18,1,10,1,18,1,10,2,8,1,18,1,3,1,16,18,3,1,18,1,3,1,16,2,3,1,10,3,4,5,18,3,10,3,8,1,18,1,3,1,16,1,3,1,18,1,10,6,18,1,3,3,18,1,10,1,9,1,10,24,18,1,3,1,18,2,10,28,8,1,18,5,8,4,10,9,8,1,10,15,8,1,18,5,8,7,10,6,8,2,18,3,8,1,10,31,8,3,10,310,18,2,10,72,9,3,10,29,9,1,8,2,10,9,8,2,10,17,8,1,10,5,8,4,10,10,8,1,18,2,8,1,10,1,8,5,10,1,8,3,10,8,8,7,10,9,9,1,10,7,9,5,10,42,4,12,10,1,9,1,10,6,8,6,10,7,8,2,10,4,8,4,10,1,8,1,10,33,9,2,10,4,4,5,19,8,4,319,18,2,10,3,8,17,10,1,8,9,10,1,8,21,10,2,9,1,18,4,8,1,18,1,8,1,9,2,8,4,18,5,8,1,9,1,10,3,8,4,9,3,8,2,18,3,8,1,9,1,8,4,18,4,15,19,8,2,15,6,8,2,15,3,8,2,15,2,8,2,15,2,8,3,15,1,8,22,18,2,8,3,9,2,18,2,4,1,18,1,4,81,19,7,4,2,10,7,8,1,18,3,15,2,18,2,15,4,18,1,8,3,15,2,14,4,3,2,14,1,15,1,8,1,10,1,9,1,8,3,15,1,18,1,8,2,15,2,18,2,14,1,15,1,8,2,18,2,3,5,4,2,19,13,4,728,},
{4,686,19,5,4,2,10,3,18,1,10,2,18,2,4,4,19,32,4,1,18,1,9,1,10,4,8,1,10,1,3,1,16,23,3,1,10,8,18,1,3,1,18,1,10,3,8,1,18,1,3,1,16,1,3,1,8,1,10,1,18,1,9,1,10,2,18,1,3,1,16,2,3,1,10,2,18,1,10,6,8,1,10,3,8,4,10,2,18,2,10,6,8,1,18,1,10,15,8,2,10,4,8,3,10,7,8,1,10,2,8,1,18,1,8,1,10,11,18,3,10,14,8,1,18,1,14,1,18,4,8,1,10,2,8,2,10,9,8,3,10,33,8,1,10,310,9,1,18,3,10,71,9,3,10,15,8,1,10,12,9,1,8,3,10,9,8,3,10,16,8,1,10,5,8,2,10,11,8,2,18,2,8,5,10,5,8,1,10,8,8,9,10,7,9,1,10,6,9,1,8,1,9,2,8,2,10,6,9,1,10,5,9,2,10,21,8,2,10,5,4,12,10,8,8,2,10,2,8,2,10,2,8,2,10,3,8,1,10,4,8,4,10,2,8,2,9,1,10,10,8,2,10,19,8,2,9,1,10,2,4,6,19,5,4,325,10,2,8,17,10,1,8,9,10,2,8,3,10,4,8,13,10,2,9,1,18,4,8,1,18,1,8,1,9,2,8,4,18,5,9,1,10,6,9,1,10,4,9,1,8,1,18,1,8,1,18,3,8,3,18,1,8,2,18,2,15,6,18,1,15,12,8,3,15,5,8,2,15,3,8,2,15,2,8,2,15,2,8,3,15,3,8,7,18,1,8,8,10,3,8,1,18,3,8,2,9,2,18,4,4,81,19,7,4,1,10,5,8,3,10,1,8,1,18,2,8,4,18,1,15,3,8,4,18,1,15,3,18,1,14,1,3,3,14,1,18,1,8,1,9,2,10,1,8,1,15,2,8,2,15,1,14,1,18,1,8,1,18,2,9,2,18,2,3,4,18,1,4,2,19,7,4,2,19,4,4,728,},
{4,686,19,5,4,1,10,7,18,1,4,4,19,21,4,1,19,11,4,1,9,1,10,6,18,1,3,1,16,5,3,2,16,8,3,3,16,4,3,1,18,1,10,4,18,3,3,3,18,1,10,2,8,1,18,1,3,3,18,1,10,1,18,1,10,3,18,1,3,1,16,3,3,1,10,13,8,1,18,3,10,3,18,2,10,7,18,2,10,13,8,3,10,2,8,1,18,2,8,1,10,11,8,1,10,1,8,2,10,8,8,1,18,2,8,1,10,14,8,1,18,3,8,1,18,1,8,1,10,15,8,1,10,345,9,1,18,2,9,1,10,29,9,1,10,41,9,3,10,15,9,1,10,13,9,1,8,2,10,9,8,2,9,1,10,16,8,1,10,5,8,2,10,11,8,4,10,2,8,3,10,13,8,9,10,7,8,2,10,2,9,2,10,2,9,2,10,2,9,2,10,5,9,2,10,5,9,1,10,22,8,1,10,6,4,12,10,8,8,2,10,2,8,2,10,2,8,2,10,8,8,4,10,2,8,2,9,1,10,10,8,2,10,19,8,2,10,2,4,6,19,6,4,318,19,3,4,1,19,1,4,3,10,1,8,17,10,1,8,9,10,1,8,4,10,4,8,12,10,3,9,1,18,3,8,1,9,1,8,2,9,3,8,3,9,2,8,3,10,7,9,2,10,4,8,4,18,2,8,1,9,1,8,1,18,1,8,3,18,2,15,1,18,2,15,10,8,1,15,3,8,3,15,6,8,7,15,2,8,2,15,2,8,4,15,2,8,5,18,3,8,7,10,4,8,3,18,1,8,3,9,2,18,4,4,80,19,7,4,1,10,5,8,3,10,2,8,6,15,4,18,1,8,5,15,2,18,1,14,1,3,3,14,1,15,1,8,1,9,1,10,1,9,1,8,1,15,2,8,2,15,2,8,6,18,2,14,1,3,2,18,1,4,4,19,6,4,3,19,3,4,728,},
{4,686,19,5,4,1,10,5,18,3,4,3,19,7,4,4,19,9,4,6,19,8,4,1,10,2,18,3,10,1,18,1,3,2,16,15,3,4,16,3,3,1,10,3,18,1,3,3,16,1,3,2,10,3,18,1,3,3,18,1,10,2,18,1,10,2,8,1,10,1,14,1,16,4,18,1,9,2,10,3,18,3,8,3,10,3,8,1,18,2,10,4,18,1,10,1,8,2,10,3,18,1,10,3,18,2,8,1,10,14,18,2,8,1,10,14,8,1,18,1,8,1,10,7,8,2,10,17,18,2,10,2,8,2,10,4,8,1,10,8,8,1,18,2,8,1,10,37,8,1,10,7,8,2,10,168,8,1,10,193,9,1,10,8,9,2,10,25,9,2,10,5,9,1,8,1,10,10,9,1,10,22,8,5,10,10,8,3,10,3,8,3,10,9,8,10,10,4,8,3,10,2,8,1,18,1,9,1,10,2,9,1,10,52,4,10,10,7,8,10,10,10,8,7,9,1,10,4,8,2,10,4,8,3,10,5,8,3,10,2,8,1,10,4,8,1,9,3,10,3,18,1,4,3,19,8,4,314,19,9,4,3,10,1,9,1,8,32,10,2,8,13,10,3,9,1,18,3,9,8,8,1,9,1,10,6,9,2,8,7,9,1,10,2,9,1,8,15,18,2,15,12,8,4,15,6,8,4,9,1,8,2,15,1,8,3,15,3,8,5,15,1,8,3,18,1,8,22,9,1,8,2,18,4,4,79,19,7,4,1,10,10,8,3,18,1,15,3,18,1,8,1,18,2,15,1,18,1,8,3,18,1,15,1,14,6,15,1,8,1,10,2,8,1,15,4,8,8,18,5,14,1,18,1,4,744,},
{4,687,19,4,4,2,10,3,18,4,4,2,19,8,4,5,19,1,4,22,9,1,10,1,18,2,10,2,18,1,3,1,16,2,3,2,16,12,3,7,18,1,10,2,18,1,3,2,16,4,3,1,9,1,10,1,18,1,3,1,16,2,3,1,18,1,10,1,18,1,9,1,10,1,8,1,18,2,3,1,16,3,3,1,10,1,18,1,8,1,10,2,18,1,3,2,18,3,8,1,10,3,8,1,18,1,8,1,10,1,18,1,10,5,8,1,10,2,18,2,10,2,8,1,18,2,8,1,10,13,8,3,10,6,8,5,10,4,18,3,10,26,18,2,10,2,8,2,10,10,8,1,18,5,8,2,10,27,8,1,10,3,8,1,10,2,8,3,10,6,8,4,10,166,8,2,10,193,9,1,10,35,9,2,10,6,9,1,10,31,8,8,10,4,8,1,10,10,8,3,10,2,8,1,10,4,8,1,10,1,8,1,18,1,8,2,10,1,8,2,10,8,8,2,10,2,8,1,18,1,9,1,10,2,9,1,8,1,10,47,9,2,10,2,4,10,10,7,8,10,10,12,8,6,10,2,8,5,10,4,8,1,10,7,8,2,10,2,8,1,10,3,8,3,9,1,10,3,18,1,4,3,19,9,4,314,19,9,4,4,18,1,8,4,10,1,8,27,10,1,8,13,10,4,9,2,18,1,9,7,10,9,9,1,8,10,10,3,8,9,18,1,8,5,18,2,15,12,8,3,15,6,8,5,10,1,8,1,15,2,8,2,15,4,8,9,18,1,8,25,18,4,4,79,19,6,4,2,10,10,8,2,18,1,15,1,14,2,15,1,18,1,8,2,15,3,18,1,8,2,18,1,14,3,15,1,18,1,15,1,14,1,15,1,8,1,9,2,18,1,15,1,18,2,8,5,15,1,8,1,15,2,14,1,18,1,8,3,18,1,9,1,4,11,18,1,4,732,},
{4,694,10,2,18,3,4,2,19,9,4,7,18,4,9,1,8,1,10,6,9,3,10,3,9,1,10,2,8,2,10,5,3,4,16,13,3,1,18,1,3,2,18,2,10,3,18,2,3,3,16,4,3,3,16,3,3,1,18,1,10,4,8,1,14,1,3,1,16,3,3,1,10,1,18,2,10,2,18,1,3,4,18,1,10,10,8,2,10,11,8,2,10,22,18,4,8,1,10,5,18,3,10,12,8,1,10,13,18,2,10,2,18,2,10,10,8,1,18,6,8,2,10,17,18,2,10,11,8,1,10,2,8,4,10,446,8,8,10,3,8,2,10,9,8,2,10,11,8,3,10,7,8,2,10,7,8,2,10,3,8,2,10,47,8,1,9,1,10,2,4,10,10,13,8,5,10,10,8,14,10,21,8,2,10,3,4,5,19,5,4,318,19,9,4,4,18,2,8,25,10,3,8,8,10,1,8,8,10,5,9,2,18,1,8,1,18,2,8,1,9,1,10,9,9,1,8,11,9,1,10,1,9,1,8,9,18,3,8,3,18,2,15,17,8,11,15,3,8,1,15,4,8,32,9,2,8,2,18,3,4,4,19,4,4,70,19,6,4,2,10,6,8,3,10,2,8,2,18,1,15,4,18,1,8,1,18,1,15,3,18,1,8,2,15,1,14,3,15,1,18,1,14,3,15,1,8,2,18,1,15,1,8,6,15,1,14,1,15,1,14,3,15,1,18,1,8,1,9,2,10,8,18,6,4,731,},
{4,694,10,1,18,2,4,3,19,10,4,6,8,1,18,3,9,1,8,2,10,6,8,14,10,2,18,1,3,3,16,12,3,2,18,3,10,5,18,1,3,3,16,6,3,1,16,3,3,2,8,1,10,5,18,1,3,1,16,2,3,1,10,1,18,3,10,1,8,1,18,1,3,3,18,1,10,2,18,2,10,7,18,1,8,1,10,34,8,1,18,1,14,2,18,1,8,1,10,5,8,1,18,2,8,1,10,1,8,1,10,7,8,1,18,2,8,1,10,12,18,6,10,10,8,1,14,1,18,6,8,1,10,9,8,2,10,7,18,1,10,11,8,8,10,266,8,2,10,133,9,2,10,5,9,1,10,40,8,4,10,2,8,3,10,9,8,2,10,7,8,2,10,2,8,3,10,8,8,1,10,7,9,1,10,3,9,1,8,2,10,34,8,2,10,11,8,1,9,1,10,2,4,10,10,14,8,6,10,9,8,7,10,1,8,6,10,6,9,1,8,2,10,8,8,2,10,2,9,1,10,3,4,4,19,6,4,319,19,9,4,4,18,1,9,1,8,12,15,1,8,10,10,6,8,5,10,3,8,6,10,8,9,2,18,3,8,1,10,8,9,2,8,11,9,2,8,11,18,2,8,1,18,4,15,16,8,12,15,8,8,31,9,1,10,2,9,1,8,1,18,3,4,3,19,6,4,68,19,7,4,1,18,1,10,6,8,8,18,1,15,3,18,3,15,3,18,1,8,2,15,1,14,3,15,1,18,1,15,4,8,2,18,2,8,1,9,1,8,3,18,1,14,7,18,1,8,1,10,10,18,3,3,2,18,1,4,731,},
{4,687,19,5,4,2,18,2,4,2,19,12,4,6,9,1,8,7,10,4,8,14,10,2,18,1,3,4,16,1,3,1,16,10,3,1,18,1,10,1,18,2,10,2,4,4,3,2,16,7,3,3,18,1,8,1,10,7,8,1,3,1,16,2,3,1,10,1,18,2,10,3,18,4,10,3,18,2,10,3,18,2,10,38,8,1,18,3,8,2,10,2,8,6,10,2,8,1,10,6,8,1,18,3,8,1,10,12,8,1,18,3,14,1,18,1,10,10,18,1,14,2,18,1,8,2,18,3,8,1,10,8,18,2,10,19,8,12,10,101,4,6,10,75,8,1,10,79,8,2,10,139,9,1,8,1,10,35,8,2,10,3,8,4,10,3,9,1,8,1,10,9,8,2,10,7,8,4,10,1,8,1,10,16,9,1,10,4,8,3,9,1,10,3,4,5,10,17,8,3,10,4,8,3,10,10,8,2,9,1,10,2,4,10,10,14,8,8,10,7,8,15,10,5,8,3,9,1,10,7,8,2,10,6,18,1,4,3,19,6,4,320,19,9,4,5,9,1,8,10,15,2,8,21,10,3,8,6,10,10,18,4,9,1,10,5,9,3,8,25,18,3,8,3,15,17,8,10,15,6,8,35,9,1,10,2,9,1,8,1,18,3,4,2,19,7,4,68,19,7,4,2,10,7,8,8,18,2,15,1,18,3,15,3,18,1,8,2,14,1,3,1,14,2,18,1,8,1,18,3,8,3,18,2,8,5,15,1,14,6,15,1,8,2,10,3,18,2,10,5,18,3,3,2,18,1,4,731,},
{4,686,19,6,4,1,18,3,4,1,19,12,4,5,18,2,8,9,10,2,8,9,10,1,8,1,9,3,10,2,18,2,3,3,16,1,3,4,16,6,3,3,18,2,10,3,18,1,4,4,18,1,16,8,3,2,18,1,10,9,18,1,3,1,16,1,3,1,18,1,10,1,18,1,10,16,18,2,10,38,8,8,18,2,10,6,8,1,10,5,8,1,18,3,8,1,10,14,18,3,14,1,18,1,10,3,8,2,10,5,8,1,18,4,8,1,18,3,8,1,10,7,8,1,18,2,8,1,10,19,8,11,10,101,4,6,10,75,8,2,10,89,8,1,10,130,9,1,10,12,9,1,10,21,8,3,10,3,8,4,10,24,8,3,10,5,8,3,10,8,9,2,10,3,9,2,8,3,9,1,10,2,4,6,10,17,8,3,10,4,8,3,10,10,8,2,9,1,10,2,4,10,10,1,9,1,10,15,8,5,10,10,8,8,10,1,8,3,10,6,9,2,10,5,8,5,10,5,18,1,4,3,19,6,4,322,19,9,4,4,18,1,8,11,15,1,8,21,10,2,8,7,10,3,9,2,10,5,9,1,18,4,9,1,10,2,9,2,8,30,18,1,8,3,15,15,8,12,15,1,8,1,15,4,8,16,9,1,10,1,9,1,8,16,10,3,8,3,18,2,4,1,19,8,4,68,19,7,4,1,10,9,8,1,18,2,8,5,18,1,15,7,18,3,14,3,15,1,8,6,9,1,8,2,18,1,8,3,15,3,14,2,15,2,14,2,15,1,8,2,10,2,8,1,14,2,8,1,10,3,8,1,18,6,4,731,},
{4,686,19,5,4,2,3,2,4,1,19,6,4,9,10,2,8,1,9,1,8,10,10,2,8,9,10,1,9,1,18,2,9,1,10,1,18,3,3,3,16,1,3,4,16,5,3,6,10,2,18,1,3,2,18,1,4,2,18,1,16,8,3,1,18,1,10,1,9,1,10,7,18,1,3,3,18,2,4,1,10,7,18,2,10,3,8,2,10,2,18,3,10,37,8,1,10,5,8,2,18,2,8,1,10,12,8,3,10,1,8,1,10,11,18,1,10,2,18,4,8,1,10,2,8,1,18,1,8,1,10,7,8,1,18,1,15,2,18,1,8,2,10,8,8,1,18,3,10,19,8,12,10,100,4,6,10,166,8,1,10,143,8,2,10,20,8,3,10,4,8,2,10,11,8,2,10,4,8,2,10,6,8,3,10,4,8,5,10,6,8,2,10,3,9,1,8,3,9,5,4,6,10,12,9,1,10,4,8,3,10,5,8,1,10,12,8,1,9,1,10,4,18,1,4,7,10,32,8,7,10,2,8,3,10,13,8,3,10,6,18,1,4,4,19,5,4,328,19,6,4,4,8,32,10,2,8,8,10,2,9,1,18,1,9,1,10,4,18,5,8,13,9,1,8,12,9,2,10,1,9,2,8,4,18,1,8,3,18,1,15,12,8,17,15,3,8,5,15,1,8,6,18,1,8,3,10,3,8,17,10,2,8,3,18,2,4,1,19,10,4,66,19,6,4,2,10,9,8,1,18,2,8,5,18,1,15,1,14,2,15,1,14,3,15,1,18,2,15,3,18,1,8,1,9,1,8,3,9,1,10,1,9,1,8,1,18,3,15,4,14,2,8,2,15,2,18,1,8,2,10,2,8,1,14,2,8,1,10,2,8,1,18,8,4,2,19,6,4,722,},
{4,686,19,5,4,1,18,3,4,1,19,5,4,9,9,1,10,1,8,24,10,1,8,1,18,2,8,1,10,1,18,3,3,2,16,3,3,2,16,6,3,6,10,2,18,1,3,1,16,1,3,1,4,2,3,1,16,3,3,2,16,3,3,2,18,2,9,1,10,4,18,1,3,2,16,1,3,1,18,1,4,4,10,6,18,1,10,2,8,1,18,3,8,1,10,2,18,2,10,5,8,2,10,36,8,2,18,2,8,1,10,28,18,1,10,2,8,1,18,3,8,1,10,2,18,2,8,1,10,4,8,3,18,1,15,1,14,2,18,1,8,2,10,8,8,1,18,1,14,1,18,1,10,19,8,11,10,101,4,6,10,85,8,1,10,65,8,1,10,9,8,1,10,88,8,1,10,59,8,3,10,39,8,2,10,4,8,2,10,6,8,2,9,1,10,4,8,5,10,6,8,2,10,4,8,2,9,1,10,1,9,2,8,1,18,1,4,6,10,12,9,1,10,4,9,1,8,2,10,18,8,1,10,5,9,1,10,1,4,6,10,34,8,5,10,15,9,1,8,1,10,1,8,3,10,6,4,4,19,6,4,328,19,9,4,1,10,1,8,31,10,1,8,11,9,1,18,1,9,5,18,4,9,2,8,2,18,1,8,17,9,1,8,2,9,2,10,5,9,1,8,9,15,4,8,3,15,3,8,7,15,1,8,10,15,3,8,5,15,1,8,5,15,1,18,1,8,2,9,1,10,3,9,1,8,16,9,2,8,2,18,3,4,1,19,10,4,66,19,6,4,2,10,9,8,2,18,1,8,5,18,1,15,1,14,4,15,1,14,1,15,2,18,1,8,12,18,3,15,5,14,1,15,1,8,3,15,1,8,2,10,3,8,1,18,2,8,1,10,1,8,1,18,2,3,1,14,1,18,2,9,1,10,2,4,2,19,9,4,719,},
{4,686,19,4,4,5,19,3,4,12,10,2,8,24,10,2,9,2,10,3,18,2,3,2,16,14,3,2,18,1,10,2,3,3,18,1,4,2,3,1,16,2,3,1,18,2,16,4,3,1,18,3,10,3,18,1,3,1,16,2,3,1,18,1,4,4,10,9,8,1,18,1,8,4,10,3,18,1,10,3,8,2,18,2,10,18,18,1,10,17,8,2,18,2,8,2,10,5,8,2,10,9,8,2,10,9,18,2,10,1,8,2,18,2,8,1,10,2,18,2,8,1,10,4,18,1,14,2,15,2,14,1,15,1,18,1,8,4,10,7,18,3,10,18,8,3,10,2,8,5,10,103,4,6,10,84,8,3,10,63,8,2,10,8,8,2,10,14,8,1,10,72,8,3,10,58,9,1,18,2,8,1,10,32,8,1,10,11,8,1,18,1,8,1,10,6,8,1,10,2,8,6,10,4,8,2,10,2,8,1,9,1,10,4,8,2,10,2,9,1,8,2,18,1,4,6,10,11,9,2,10,25,8,1,10,5,9,1,10,41,8,4,10,15,9,1,8,2,10,2,8,2,10,6,4,4,19,5,4,330,19,8,4,1,10,1,8,27,10,3,8,1,10,1,8,6,10,1,8,4,9,3,18,7,9,1,10,3,8,19,9,3,10,7,9,1,8,9,15,3,8,13,15,4,8,8,15,3,8,11,15,1,18,1,8,2,9,1,10,4,8,17,9,1,8,2,15,1,18,2,4,1,19,12,4,72,10,6,8,7,18,1,8,3,18,1,15,1,14,1,15,7,8,1,10,4,9,1,8,2,18,1,15,2,18,2,15,3,18,1,15,4,14,1,15,1,8,3,15,1,8,2,10,4,8,5,18,2,14,1,18,3,9,1,10,2,4,3,19,8,4,719,},
{4,686,19,4,4,4,19,4,4,11,18,1,10,2,8,28,10,2,8,1,10,1,18,1,3,1,16,15,3,2,18,1,10,2,18,1,3,3,4,2,18,1,3,1,18,3,3,1,16,4,3,1,18,2,10,4,3,1,16,3,3,1,18,1,4,5,10,2,8,1,10,5,8,2,10,3,8,2,10,5,18,5,10,9,8,1,10,26,8,3,18,3,8,1,18,1,8,5,10,9,8,2,10,10,18,1,10,3,8,1,18,1,8,3,18,2,8,1,10,3,8,1,14,1,3,2,14,1,15,1,14,2,18,3,8,2,10,7,18,2,8,1,10,18,8,1,10,5,8,3,10,104,4,6,10,84,8,4,10,2,8,1,10,59,8,1,10,99,8,2,10,59,8,1,18,2,9,1,10,12,8,1,10,15,8,5,10,10,8,1,18,1,8,1,10,9,8,5,10,5,8,5,10,5,9,1,8,1,10,2,9,1,8,2,9,1,4,6,10,11,9,2,10,32,9,1,10,59,9,1,8,2,10,10,4,5,19,3,4,333,19,6,4,1,10,1,8,3,10,2,8,22,10,6,8,10,9,3,18,6,9,1,10,5,8,18,9,2,10,9,8,2,18,1,8,21,15,4,8,9,15,2,8,16,10,5,9,1,8,21,18,1,4,2,19,11,4,72,10,1,8,2,10,2,8,5,10,2,8,1,18,1,8,4,18,1,15,2,18,6,8,1,10,5,8,1,18,1,15,1,14,5,15,2,18,2,15,3,14,1,15,1,8,2,15,2,8,2,10,3,8,7,18,5,8,1,9,2,4,3,19,9,4,718,},
{4,686,19,5,4,2,19,5,4,10,10,4,8,29,9,1,18,1,10,1,3,1,16,16,3,3,10,3,3,3,4,4,10,2,3,1,16,4,3,2,10,5,18,1,16,4,18,1,4,6,10,13,8,1,18,1,8,1,10,3,8,1,18,3,8,2,10,8,8,3,10,27,8,2,18,6,8,3,10,9,8,2,10,6,8,2,10,3,8,1,10,2,8,1,18,2,8,2,18,2,10,4,18,1,14,1,3,2,15,1,14,1,3,3,14,1,18,1,8,1,10,4,8,1,18,1,10,2,18,2,8,1,10,24,8,3,10,106,4,1,18,2,10,158,8,1,10,115,9,1,10,32,9,1,10,5,18,2,9,1,10,11,8,3,10,14,8,6,10,6,8,1,10,2,8,4,10,8,8,5,10,6,8,1,10,2,8,1,9,1,10,5,9,1,10,2,8,1,18,1,8,1,10,1,4,6,10,30,8,1,10,14,9,1,8,1,10,47,8,2,10,9,9,1,8,3,10,9,4,342,19,5,4,1,10,1,8,2,10,3,8,22,10,6,8,10,18,3,9,1,10,3,9,4,10,4,9,1,8,18,9,1,10,9,8,2,18,1,8,20,15,4,8,10,15,2,8,16,10,6,8,21,9,1,18,1,4,4,19,8,4,70,10,2,8,1,18,1,8,7,10,3,8,6,18,3,8,8,9,1,10,1,9,2,8,1,18,1,15,1,14,5,15,1,18,2,15,3,14,2,15,1,8,2,15,2,8,2,10,3,8,1,15,1,14,1,15,1,18,2,8,1,18,5,8,2,18,1,4,2,19,13,4,715,},
{4,686,19,12,4,10,8,2,10,1,8,30,18,2,10,1,3,1,16,15,3,4,10,3,18,1,3,3,4,3,18,2,16,5,3,1,18,1,10,4,18,1,3,1,16,3,3,1,8,1,18,1,4,1,10,2,4,1,10,5,8,1,18,1,10,2,8,1,10,3,8,1,18,2,8,1,10,4,18,2,8,1,10,1,8,1,10,7,8,1,18,3,8,1,10,28,18,6,8,1,10,12,8,1,10,2,18,1,10,3,8,1,18,1,8,1,10,2,18,2,10,2,8,1,18,4,8,1,10,3,8,1,15,1,14,1,3,1,14,1,18,1,15,1,3,3,18,1,8,1,10,5,14,2,8,2,18,2,10,26,8,2,10,267,8,1,10,154,8,1,18,1,9,1,10,1,9,1,10,8,9,1,8,2,10,26,8,4,10,1,8,1,18,1,8,1,10,2,8,2,10,3,8,6,10,9,8,2,10,5,9,1,10,2,18,2,9,1,10,1,4,6,10,14,8,1,10,13,8,3,10,3,8,2,10,10,8,1,10,46,8,3,10,7,9,5,8,1,10,9,4,343,19,2,4,3,8,3,10,3,8,22,10,2,8,1,10,4,8,9,18,3,10,6,9,1,18,1,9,2,10,3,9,4,8,14,9,3,10,6,9,1,8,2,18,2,8,17,15,6,8,29,10,4,9,1,8,21,9,2,4,4,19,8,4,70,10,2,8,1,18,4,8,2,10,5,8,2,10,3,8,9,10,1,8,1,18,1,15,1,18,1,8,3,18,1,15,1,14,5,15,1,18,2,15,1,14,4,15,1,9,1,8,1,15,2,8,2,10,2,8,2,15,1,14,2,15,1,18,1,8,1,18,5,8,1,9,1,10,1,4,2,19,5,4,1,19,10,4,712,},
{4,686,19,12,4,10,8,33,9,1,18,2,16,14,3,6,18,1,10,3,3,3,18,1,4,1,18,1,10,1,3,1,16,5,3,2,18,1,4,2,18,1,3,1,16,4,14,1,10,1,8,1,18,2,10,6,18,1,3,1,14,1,8,2,18,2,8,2,18,2,8,1,10,5,8,2,10,3,8,4,10,3,8,1,18,3,8,5,10,24,8,1,18,3,8,1,10,16,18,2,10,3,8,1,18,2,8,1,10,1,18,1,10,3,8,1,18,4,8,1,10,2,8,1,18,1,14,4,8,2,14,2,18,1,8,2,10,4,8,1,18,6,10,26,8,2,10,14,8,1,10,220,8,1,10,187,9,1,10,12,8,1,10,26,8,5,10,1,8,3,10,2,8,1,10,4,8,1,10,3,8,3,10,7,8,4,10,4,9,1,10,2,18,2,9,1,10,20,9,1,8,2,10,12,8,2,10,4,8,2,10,10,8,1,10,46,8,3,10,6,9,6,10,8,8,1,10,1,4,4,19,3,4,341,18,1,8,3,10,2,8,16,15,3,8,4,10,1,8,2,10,3,8,8,18,4,10,6,9,1,18,3,8,1,9,3,10,1,9,1,10,2,9,1,8,8,10,1,8,4,9,5,8,1,9,1,10,1,9,1,8,21,15,5,8,8,15,1,8,23,9,1,8,23,9,2,4,4,19,3,4,1,19,3,4,71,10,3,8,2,18,2,8,2,10,5,8,2,10,3,8,9,10,1,8,1,14,3,18,1,8,3,18,1,15,2,14,2,15,1,18,2,15,1,14,5,15,1,9,2,15,2,8,2,10,2,8,2,15,5,18,5,8,1,10,3,4,3,19,2,4,7,19,6,4,712,},
{4,686,19,11,4,11,18,1,10,2,9,3,8,2,9,1,8,26,18,1,16,14,3,2,18,1,4,1,18,3,10,2,18,1,3,4,10,2,18,1,3,1,16,5,3,1,18,1,4,2,18,1,3,2,16,3,3,1,18,1,8,1,18,1,15,2,8,1,10,2,18,1,10,2,18,1,3,2,18,2,14,2,18,2,14,1,18,1,8,1,10,10,8,1,14,1,18,1,8,1,10,3,8,1,18,4,8,2,18,2,8,1,10,11,8,3,10,10,8,3,10,17,18,2,10,4,8,1,18,2,10,2,18,1,10,2,8,1,18,2,8,3,10,2,8,1,18,2,14,1,3,1,14,1,18,1,8,1,18,1,8,1,10,3,8,7,18,3,8,1,10,26,8,2,10,14,8,1,10,219,8,2,10,136,9,1,10,90,8,2,10,3,8,5,10,6,8,7,10,7,8,4,10,3,8,2,10,2,8,1,18,1,9,1,10,4,9,1,10,15,8,4,10,11,8,2,10,4,8,2,10,10,8,1,10,46,8,3,10,5,9,3,10,11,8,2,10,1,4,3,19,5,4,340,18,1,8,3,10,1,8,17,15,3,8,3,10,2,8,3,10,5,8,6,18,3,10,6,9,1,18,4,8,1,9,2,10,4,9,1,8,7,10,3,8,30,15,2,8,2,15,4,8,8,15,1,8,2,10,3,8,42,9,2,18,1,4,4,19,1,4,76,10,5,8,6,10,2,8,2,10,4,8,5,18,4,8,1,18,1,14,1,3,1,14,1,15,1,18,2,8,2,18,2,15,1,18,3,15,1,14,6,18,1,9,1,8,1,15,1,14,1,8,2,10,2,8,1,15,1,8,2,15,5,18,2,8,2,10,4,4,11,19,6,4,712,},
{4,686,19,8,4,13,19,1,4,6,18,3,9,1,8,24,10,1,18,1,3,1,16,1,3,1,16,10,3,3,4,5,18,1,3,4,16,1,3,1,18,2,3,1,16,6,3,1,4,2,18,1,3,3,16,2,3,1,18,1,14,3,15,2,8,1,10,2,18,1,10,2,18,1,3,2,18,2,14,2,8,2,18,2,8,1,10,10,18,1,3,1,14,1,8,1,10,3,8,1,18,9,10,4,18,1,10,5,8,10,10,4,8,1,10,7,8,3,10,9,18,2,10,5,8,2,10,5,8,5,10,2,8,1,18,2,8,1,15,1,3,2,14,1,15,1,18,1,8,1,10,3,8,1,18,1,14,2,18,1,10,2,18,1,14,1,18,1,8,1,10,26,8,1,10,118,8,2,10,109,8,2,10,4,8,2,10,25,8,4,10,106,9,2,10,34,9,1,10,11,9,2,10,42,9,1,10,4,8,1,18,1,8,3,10,5,8,1,18,1,8,5,10,6,8,4,9,2,10,3,18,1,8,1,10,2,9,1,8,1,9,1,10,3,9,2,10,15,8,1,18,2,8,2,10,10,8,1,10,5,8,2,10,40,8,2,10,14,8,1,10,6,8,1,9,2,10,8,8,2,10,3,8,2,10,1,4,2,19,6,4,341,18,2,10,3,8,22,10,2,8,3,10,7,8,4,18,2,9,1,10,7,9,1,18,2,9,1,8,1,9,3,10,3,8,8,10,3,9,1,8,28,15,3,8,4,15,3,8,7,15,1,8,2,10,3,8,34,15,1,8,4,15,2,8,1,9,1,10,4,4,71,19,1,4,5,18,2,10,7,8,1,18,3,8,2,10,1,8,2,10,2,8,3,18,3,14,3,15,1,18,2,14,3,15,2,18,2,8,1,18,6,14,3,15,1,14,3,15,1,8,2,14,2,15,1,8,1,10,2,8,1,15,1,8,2,15,4,18,1,8,1,18,1,8,2,10,5,18,8,4,2,19,5,4,713,},
{4,686,19,8,4,4,19,3,4,5,19,6,4,5,18,1,8,24,10,1,18,1,3,4,16,9,3,3,4,6,3,1,16,4,3,3,16,7,3,1,4,2,3,1,16,1,3,2,16,1,3,1,18,1,8,1,3,2,14,1,18,2,8,1,10,5,8,1,18,1,14,1,18,2,3,2,18,1,8,1,18,2,8,1,10,10,8,1,14,2,8,1,10,4,8,1,18,2,8,2,18,4,8,1,10,9,8,1,18,5,8,4,10,3,8,3,10,5,8,1,18,3,8,4,10,12,8,1,10,7,18,3,8,2,10,1,8,1,18,2,10,1,8,1,3,1,16,1,3,1,14,1,18,1,10,3,8,1,18,1,14,2,3,1,18,1,10,2,18,1,14,1,18,1,8,1,10,19,8,2,10,5,8,1,10,117,8,3,10,109,8,2,10,4,8,2,10,25,8,4,10,155,9,1,10,47,8,1,18,1,8,3,9,1,10,4,8,1,18,1,8,2,10,8,8,5,9,1,8,2,10,1,8,1,18,1,8,1,10,3,8,1,10,4,9,2,18,2,9,2,10,11,8,1,18,2,8,2,10,10,8,1,10,36,8,3,10,8,8,2,10,14,8,1,10,5,8,3,10,9,8,2,10,6,4,1,19,7,4,338,19,2,4,5,18,1,8,22,10,2,8,4,10,6,8,4,9,3,10,8,9,2,8,3,9,1,8,25,10,3,9,1,8,3,15,2,8,10,15,3,8,3,18,1,15,1,18,1,8,10,10,4,8,43,9,1,10,4,4,3,18,4,4,61,19,4,4,3,18,3,8,1,10,6,8,2,18,3,8,10,18,3,14,2,15,1,18,2,14,2,15,4,18,7,15,1,14,2,15,6,8,2,14,2,15,1,8,1,10,1,8,2,15,1,8,1,15,4,18,4,8,1,10,4,9,1,18,9,4,2,19,4,4,714,},
{4,687,19,5,4,6,19,5,4,3,19,6,4,6,9,1,8,24,10,2,3,2,16,11,3,2,4,6,18,1,3,1,16,13,18,1,4,2,3,2,16,1,3,3,10,2,3,3,18,1,8,1,10,1,18,1,10,2,8,2,10,1,8,1,18,2,3,4,18,2,8,1,10,2,18,1,10,1,18,1,10,2,18,2,8,1,10,2,8,1,18,2,8,1,10,4,14,2,10,2,8,1,18,1,8,3,10,10,8,1,14,3,18,1,8,2,18,1,8,1,10,2,8,1,18,2,8,2,10,4,18,4,8,3,18,1,8,1,10,10,8,2,10,2,8,1,10,4,8,1,18,3,8,1,10,2,14,1,18,1,10,2,3,1,16,2,3,1,8,1,10,2,8,1,14,2,18,2,14,2,8,2,18,3,8,1,10,10,18,1,10,5,8,6,10,269,8,1,10,102,9,4,10,73,8,2,10,3,9,4,10,16,9,1,8,1,9,1,18,3,10,4,18,2,10,10,8,9,10,1,8,1,10,10,9,1,18,3,8,1,9,1,10,10,8,1,18,2,8,1,10,10,8,2,10,10,8,1,10,2,8,2,10,15,8,2,10,4,8,5,10,6,8,1,10,4,8,4,10,7,8,2,10,4,8,1,9,2,10,9,8,2,10,6,4,1,19,6,4,339,19,4,4,3,18,1,8,1,10,3,8,21,10,1,8,2,10,4,8,2,10,1,8,5,9,1,10,9,9,1,8,2,9,1,8,19,9,1,8,5,10,5,8,1,18,2,15,2,18,2,8,6,18,1,15,1,8,5,18,4,8,9,9,1,10,4,8,47,10,5,18,3,4,61,19,5,4,1,18,3,8,2,10,2,8,1,10,5,8,1,18,1,15,2,18,1,8,1,10,1,8,10,18,2,8,2,15,2,18,1,8,1,18,1,15,3,18,2,15,11,8,3,15,3,8,6,15,1,14,2,18,2,15,1,14,1,15,1,8,1,10,3,8,1,15,1,14,1,18,2,14,2,18,2,9,1,10,1,4,720,},
{4,698,19,6,4,2,19,6,4,6,10,2,8,13,10,2,8,9,10,1,3,2,16,4,3,2,16,5,3,1,18,1,4,7,18,1,3,4,16,8,3,1,18,2,3,3,16,2,3,1,18,1,10,2,3,2,18,1,10,3,18,1,10,1,18,1,3,1,14,1,18,1,8,2,14,1,3,5,18,2,10,2,18,2,10,2,18,4,10,3,18,2,8,1,10,4,18,2,10,3,8,4,10,10,8,1,14,2,18,1,8,1,10,2,8,2,10,2,8,1,18,3,8,1,10,3,8,1,18,4,8,1,10,2,18,1,8,1,10,14,18,1,8,1,10,4,8,1,18,3,8,1,18,1,3,2,10,2,3,1,16,1,3,2,8,1,10,2,18,1,14,2,8,1,10,1,18,1,15,2,18,3,8,2,10,10,18,1,8,1,10,5,8,7,10,370,9,2,8,1,9,1,10,7,9,1,10,66,8,1,10,3,9,1,18,2,9,2,10,6,8,4,10,5,9,1,8,1,18,4,10,5,18,1,10,9,8,10,10,3,8,2,10,7,9,1,18,4,9,1,10,10,8,4,10,22,8,1,10,1,9,1,8,2,10,16,8,1,10,4,8,10,10,7,8,4,10,6,8,2,10,4,9,3,10,10,8,2,10,4,4,2,19,5,4,340,19,5,4,3,10,4,8,20,10,2,8,2,10,3,8,3,10,3,8,4,10,4,8,3,10,2,8,20,18,1,8,2,9,1,8,4,9,1,10,5,8,1,18,5,15,1,8,6,18,2,8,5,18,4,8,9,10,4,8,12,15,1,8,38,10,3,9,1,18,1,4,61,19,4,4,2,18,3,8,1,10,1,8,5,10,4,8,1,15,1,14,1,18,1,8,3,18,1,8,8,18,2,8,2,15,2,18,2,15,5,18,1,15,10,8,13,15,1,14,2,8,2,15,1,14,1,15,1,9,1,10,3,8,1,14,2,15,3,18,2,8,1,10,2,18,1,4,2,10,2,4,3,18,2,4,710,},
{4,696,19,16,4,6,10,1,8,14,10,3,8,2,10,3,8,1,18,1,9,1,18,1,3,1,16,4,3,2,16,5,3,1,18,1,4,4,18,1,4,4,18,1,3,7,16,3,3,1,18,2,3,4,16,2,3,1,8,1,10,2,18,1,3,1,8,1,10,2,18,2,10,1,18,1,3,3,18,1,14,1,3,1,16,1,3,5,14,1,10,5,8,1,18,2,8,1,10,2,8,1,18,2,8,1,10,5,8,1,10,18,8,1,18,2,8,1,10,3,8,2,10,3,18,4,8,1,10,2,8,1,18,1,14,2,18,1,8,1,10,18,8,1,10,6,8,1,18,2,3,2,16,1,3,1,8,2,3,3,18,1,8,1,10,1,9,1,8,1,18,1,8,1,10,2,9,1,18,1,14,2,18,1,8,2,10,26,8,1,10,368,9,2,8,1,9,1,10,77,9,2,18,1,9,2,10,5,8,9,10,1,9,1,18,6,10,12,9,2,8,12,10,1,8,4,10,6,8,1,18,3,9,1,10,10,8,2,10,25,8,1,10,2,8,1,9,1,10,21,8,11,10,6,8,4,10,7,8,1,10,3,8,1,9,3,10,16,4,2,19,5,4,340,19,5,4,3,9,1,10,3,8,19,10,3,8,8,10,4,8,1,18,1,8,1,10,4,8,3,10,2,8,9,10,3,8,9,18,1,8,6,9,1,10,5,8,4,18,3,8,2,9,2,8,9,18,4,8,9,10,4,8,53,10,2,4,61,19,5,4,2,18,2,8,2,10,1,8,5,10,4,8,1,18,3,8,3,18,1,8,7,18,1,14,3,15,1,14,2,15,3,14,2,15,2,18,2,15,11,8,11,18,1,15,2,8,2,18,1,15,1,18,1,10,4,8,1,18,1,15,1,18,4,8,1,9,1,10,8,9,1,18,5,4,9,19,2,4,697,},
{4,696,19,16,4,6,10,1,8,14,10,1,8,2,10,5,8,1,18,1,8,1,18,1,3,1,16,3,3,4,16,4,3,1,4,4,3,2,18,1,4,4,18,1,3,2,18,1,3,3,16,2,3,2,18,2,3,2,18,1,3,1,16,3,3,1,18,4,10,1,18,1,10,3,8,1,18,1,3,8,18,2,3,2,14,1,10,5,8,1,18,1,8,1,10,3,18,1,14,1,18,1,8,1,10,3,8,1,10,19,8,3,10,5,8,1,10,3,8,1,18,3,8,1,10,3,18,5,10,19,18,1,8,1,10,6,8,1,18,1,3,1,16,2,3,1,8,2,14,1,3,1,14,1,18,1,8,2,18,4,8,1,10,2,8,1,14,2,18,1,8,2,10,26,8,3,10,367,9,3,10,76,8,2,9,2,10,4,8,5,10,2,8,7,18,2,9,2,18,2,9,1,10,11,9,1,8,10,10,4,8,5,10,5,8,1,18,3,9,1,10,5,9,1,8,6,10,25,9,1,10,23,8,1,10,2,8,10,10,7,8,3,10,7,8,4,10,19,4,3,19,5,4,340,19,6,4,2,9,1,10,3,8,19,10,2,8,4,10,2,8,3,10,4,8,3,9,1,10,3,8,3,10,2,8,3,9,1,8,4,10,4,8,6,10,2,8,1,18,1,8,7,10,5,9,1,8,1,9,1,8,5,9,2,10,1,9,1,8,8,18,4,8,9,9,1,10,2,8,52,18,1,8,1,10,2,4,60,19,7,4,1,18,2,8,1,10,2,8,6,10,3,9,1,8,5,18,1,8,5,18,3,15,1,14,10,15,3,8,3,15,8,8,14,18,1,8,6,10,4,8,2,18,5,8,1,9,3,8,3,9,1,8,2,18,6,4,9,19,4,4,695,},
{4,694,19,18,4,6,9,1,8,2,10,4,8,11,10,6,18,1,10,1,18,1,16,4,3,3,18,1,3,1,16,3,3,1,4,3,3,4,18,2,3,7,16,4,3,4,16,1,3,1,18,2,16,5,3,1,18,1,10,4,8,1,18,2,8,1,18,1,3,6,8,1,10,1,8,1,18,2,8,1,10,1,18,1,10,1,8,3,18,1,8,1,10,3,18,1,14,2,18,1,8,3,18,1,8,1,10,17,8,3,10,5,8,2,10,3,18,3,8,1,10,4,18,2,8,3,10,19,18,2,10,6,8,1,18,1,3,3,18,1,10,1,8,1,3,2,18,1,8,2,18,1,15,1,14,4,18,1,10,1,9,1,15,1,14,2,18,2,8,2,10,10,8,3,10,10,8,4,10,4,8,2,10,361,9,2,10,77,18,2,10,5,9,1,8,5,10,2,8,7,18,1,8,1,10,3,9,2,10,11,9,1,8,1,18,1,8,2,10,3,8,2,10,5,8,5,10,4,9,1,18,4,8,1,10,5,8,1,18,3,8,6,10,22,9,1,10,2,9,1,10,19,8,2,10,2,8,4,10,2,8,5,10,6,8,4,10,6,8,4,10,19,4,3,19,4,4,341,19,6,4,2,10,5,8,1,10,2,8,20,10,4,8,2,10,4,8,4,10,2,8,4,10,2,8,8,10,3,9,1,8,6,10,2,8,8,9,1,10,5,9,2,10,2,8,4,9,1,10,2,9,1,8,8,18,4,8,10,10,2,8,53,18,1,8,1,10,1,4,60,19,6,4,2,18,2,8,1,10,2,8,7,10,4,9,1,8,8,18,4,15,1,14,5,15,1,14,3,15,3,18,1,8,5,15,3,8,19,9,1,8,4,10,3,8,5,18,2,8,10,18,1,14,2,18,4,4,9,19,4,4,695,},
{4,694,19,18,4,6,9,1,8,2,10,4,8,11,10,5,8,1,18,1,8,1,18,1,3,1,16,1,3,2,18,1,3,2,18,2,3,1,16,2,3,1,4,2,3,2,16,3,3,2,16,11,3,2,16,3,3,1,10,1,9,1,3,1,16,4,3,1,18,2,10,2,18,2,3,1,18,1,10,3,18,1,3,4,8,1,10,1,8,3,10,1,18,1,10,2,8,1,10,1,8,1,18,1,8,1,10,3,18,1,14,1,3,1,14,2,3,1,14,1,18,1,10,4,8,1,10,14,8,2,10,4,8,1,18,1,8,1,10,3,18,2,8,1,10,4,8,1,14,2,8,1,10,15,8,2,10,4,18,2,10,7,18,1,14,2,18,1,8,1,10,1,8,1,3,3,14,1,3,2,14,1,15,1,14,2,3,1,14,1,8,1,9,1,18,1,14,2,18,3,8,2,10,9,8,4,10,8,8,12,10,233,8,1,10,205,9,2,10,4,9,2,8,2,10,2,8,3,10,3,8,5,9,1,10,4,9,1,18,1,9,1,10,9,9,1,18,2,8,2,10,11,8,1,10,6,9,1,8,1,18,4,8,1,9,1,10,3,9,1,8,1,18,3,8,7,10,7,8,2,10,35,8,2,10,3,8,1,10,6,8,4,10,5,8,8,10,2,8,4,10,7,9,2,10,10,4,3,19,4,4,342,19,6,4,1,18,1,10,8,8,19,10,4,8,7,9,1,8,2,10,2,8,4,10,1,8,19,9,1,8,6,9,6,10,7,9,1,8,3,9,2,10,1,9,1,8,8,18,2,15,1,18,2,8,9,10,3,8,45,18,1,8,2,10,2,8,2,18,1,8,1,10,1,4,60,19,6,4,2,18,2,10,2,8,3,10,1,8,4,10,5,8,8,18,3,8,1,18,1,15,1,14,3,15,3,14,1,15,2,18,1,8,7,18,1,15,1,8,5,15,1,8,14,10,1,8,5,10,1,9,1,8,1,18,1,8,2,18,2,8,5,18,2,15,2,18,2,14,1,3,2,18,4,4,6,19,8,4,694,},
{4,694,19,16,4,8,9,1,8,3,10,2,8,15,10,1,8,1,9,1,18,1,9,1,10,1,18,1,3,1,18,1,10,2,18,1,3,11,16,21,3,1,10,2,3,1,16,4,3,1,10,3,8,1,18,1,3,2,18,1,10,3,8,1,3,2,16,1,3,2,18,3,8,1,10,4,8,1,10,2,18,2,8,1,10,1,8,1,18,2,3,5,8,1,10,3,8,1,18,1,10,14,8,1,10,4,8,1,18,1,14,1,18,1,8,1,10,2,8,1,18,1,8,1,10,3,8,1,14,1,3,2,18,1,10,14,8,1,18,2,10,4,8,1,10,9,8,3,10,2,8,1,3,1,16,4,3,1,14,1,10,2,8,1,14,2,18,6,8,3,10,10,8,4,10,7,8,4,10,2,8,7,10,233,8,1,10,70,8,1,10,140,9,2,10,5,8,2,10,7,8,1,10,5,18,3,9,1,10,8,9,1,18,3,8,2,10,17,8,2,18,5,8,2,10,1,9,1,8,2,18,3,8,7,10,7,8,2,10,33,8,3,10,3,8,2,10,6,8,5,10,4,8,14,10,7,9,2,10,4,8,1,10,4,4,3,19,5,4,343,19,5,4,2,18,1,10,2,8,2,10,3,8,19,10,4,8,7,9,1,8,2,9,1,10,1,8,4,10,1,9,1,8,3,10,1,8,21,9,4,8,4,9,1,10,4,8,5,9,2,8,5,18,1,8,3,18,2,15,2,18,1,8,9,10,4,8,47,10,3,8,3,18,3,4,23,19,6,4,29,19,6,4,2,18,2,8,1,10,1,8,2,10,4,8,2,10,4,9,1,8,8,18,2,8,4,18,3,8,1,18,1,15,3,18,1,8,9,18,1,8,3,15,1,8,1,15,1,8,10,18,1,8,6,18,1,8,4,15,2,18,4,8,5,18,1,15,2,18,2,15,1,14,1,3,2,14,1,18,5,4,4,19,9,4,693,},
{4,694,19,16,4,8,9,1,8,19,10,3,8,1,9,2,10,2,18,1,10,1,8,1,10,2,3,1,16,2,3,1,18,2,3,5,16,20,3,1,18,1,10,2,18,1,3,1,16,2,3,1,18,1,10,1,18,1,10,1,18,1,3,3,18,1,10,3,18,1,3,2,16,2,3,1,18,2,8,1,10,4,8,2,10,2,8,1,18,6,3,2,16,2,3,1,10,3,8,1,18,2,8,1,10,18,8,1,14,2,18,1,10,4,8,1,10,4,18,1,3,3,18,1,10,7,8,1,10,6,8,1,18,2,10,16,8,3,18,1,3,1,16,5,14,1,10,3,14,1,3,1,14,1,15,1,18,3,8,2,10,12,8,6,10,1,8,6,10,4,8,5,10,305,8,3,10,63,9,1,10,74,9,1,8,2,10,5,8,2,10,13,9,1,18,2,9,1,10,9,8,1,18,2,8,2,10,17,9,1,8,4,18,3,8,5,18,2,8,2,9,2,8,4,10,27,9,1,10,13,8,3,10,4,8,3,10,6,8,4,10,6,8,7,10,1,8,4,10,13,8,1,10,4,4,3,19,5,4,343,19,5,4,3,18,1,10,1,8,3,10,2,8,16,10,2,8,1,10,3,8,16,10,2,9,1,8,4,10,2,9,1,8,18,9,3,8,6,9,1,10,1,9,2,8,11,15,1,18,1,8,4,18,1,15,2,18,1,8,9,10,4,8,18,10,2,8,28,10,2,8,2,18,4,4,22,19,8,4,27,19,7,4,2,18,2,8,1,10,1,8,2,10,4,8,3,10,3,8,9,18,2,8,9,18,1,15,1,18,1,8,3,15,2,18,1,8,3,18,1,15,2,8,1,15,6,8,7,15,3,8,4,18,1,15,1,18,2,8,1,18,1,15,1,14,1,15,1,18,4,8,3,18,1,15,3,18,2,15,1,14,4,18,6,4,3,19,10,4,692,},
{4,694,19,18,4,6,9,1,8,18,10,1,18,3,10,1,8,2,10,7,18,1,16,2,3,1,10,2,18,1,3,4,16,16,3,5,10,3,9,1,18,1,3,1,18,1,10,6,18,1,3,1,18,2,10,1,8,1,18,1,3,6,18,1,10,6,8,2,10,3,18,1,3,2,14,1,18,1,8,1,18,1,3,3,18,1,10,3,8,1,18,2,8,1,10,18,8,1,18,2,8,1,10,5,8,2,10,1,8,1,18,1,3,3,18,1,8,1,10,5,8,2,10,3,18,1,10,3,8,1,10,6,18,4,10,6,8,1,14,1,3,1,18,1,14,1,3,2,16,4,3,1,8,1,10,2,14,1,3,1,14,2,15,1,18,3,8,2,10,11,8,13,10,5,8,2,10,298,8,1,10,7,8,4,10,62,9,2,10,66,9,1,10,7,9,1,8,1,9,1,10,5,8,2,10,14,9,1,10,10,9,1,8,6,10,17,8,12,18,2,8,1,9,2,10,4,8,3,10,39,8,2,10,5,8,3,10,6,8,4,10,8,8,5,10,2,8,1,10,15,8,1,10,3,4,3,19,5,4,344,19,5,4,4,18,2,8,19,10,3,8,7,10,2,8,9,10,4,8,5,10,4,8,6,9,2,8,14,18,2,8,3,9,1,8,20,15,3,8,9,10,3,8,54,18,3,4,22,19,8,4,26,19,8,4,2,18,2,8,1,10,1,8,2,10,4,8,3,10,3,8,9,18,1,8,10,18,2,8,4,15,3,18,1,8,2,15,11,8,2,15,5,14,1,15,1,8,4,15,3,18,3,14,2,15,4,18,1,8,4,15,1,18,2,8,2,18,1,15,2,14,3,18,1,8,1,18,3,4,3,19,14,4,688,},
{4,694,19,18,4,5,18,1,9,1,8,14,10,5,18,1,3,1,18,1,8,1,10,1,8,2,10,2,18,2,10,3,3,2,18,1,10,3,18,2,3,2,16,15,3,1,18,1,10,1,18,1,3,1,18,1,9,1,10,6,18,2,10,4,3,3,18,1,8,1,18,1,3,2,14,1,18,4,8,1,10,1,18,1,10,1,18,1,3,2,18,4,10,1,8,1,3,3,18,1,8,1,10,1,8,1,18,1,8,1,10,3,8,1,18,3,8,4,10,4,8,2,10,10,8,2,10,6,8,5,18,1,3,2,18,1,8,1,10,5,8,1,10,4,18,2,10,8,8,1,18,1,3,2,18,1,10,6,8,1,14,1,3,1,18,3,14,1,3,1,16,2,3,3,18,2,3,3,15,2,18,4,8,1,10,9,8,14,10,6,8,2,10,297,8,2,10,8,8,2,10,63,9,2,10,74,9,1,8,1,9,1,10,32,8,7,10,5,8,3,10,13,8,3,10,3,8,1,18,4,9,2,10,4,9,1,18,1,8,1,9,1,10,24,9,1,10,21,8,2,10,5,8,3,10,1,8,2,10,8,8,3,10,23,4,3,19,5,4,345,19,5,4,4,18,1,8,18,10,4,8,7,10,2,8,9,10,5,8,4,10,8,9,7,8,11,18,2,8,34,15,1,8,2,10,2,8,33,15,1,8,11,10,1,8,8,18,3,4,4,18,1,4,18,19,7,4,27,19,7,4,2,18,1,8,1,10,2,8,2,10,4,8,4,10,1,9,1,8,20,18,2,8,3,18,1,15,1,14,1,15,2,18,1,8,1,15,18,14,2,8,4,18,1,15,3,18,2,15,4,14,1,15,1,18,1,8,3,18,1,15,1,8,6,18,1,15,1,14,2,8,1,9,1,18,2,3,1,18,1,4,3,19,13,4,688,},
{4,694,19,18,4,4,10,1,9,1,8,13,10,7,18,1,3,1,18,1,10,2,8,2,10,2,18,3,10,2,18,3,10,4,18,1,3,1,16,16,3,1,10,2,18,1,3,2,18,5,10,2,18,1,10,4,18,1,3,1,16,1,3,2,8,1,10,1,18,1,3,2,18,1,10,2,8,1,10,4,3,1,16,2,3,4,10,2,18,1,3,2,14,1,8,1,10,7,18,3,8,1,18,4,8,1,10,2,8,1,18,2,10,17,8,1,18,1,8,2,10,2,8,1,18,3,10,17,18,1,10,3,8,1,18,1,14,1,18,1,8,1,10,7,8,1,18,1,10,3,18,1,14,1,3,1,14,1,3,1,16,2,3,2,16,2,14,1,18,3,14,2,18,1,8,2,10,9,8,13,10,6,8,2,10,297,8,2,10,149,9,2,8,1,10,8,8,1,10,21,9,1,8,3,10,2,8,2,10,5,8,7,10,16,8,1,18,4,9,3,10,2,9,2,8,1,9,1,10,25,9,1,10,27,8,3,10,2,8,3,10,7,8,4,10,19,4,5,19,6,4,346,19,5,4,4,10,1,8,18,10,2,8,8,10,2,8,8,10,6,8,4,10,8,9,2,8,1,9,7,8,1,9,4,8,7,9,2,8,4,9,3,8,26,10,1,8,34,15,1,8,20,18,3,10,4,18,2,4,19,19,5,4,27,19,7,4,1,18,2,8,1,10,7,8,5,10,1,9,1,8,16,18,2,8,2,18,2,8,3,18,1,15,5,18,3,15,16,14,2,8,4,18,1,15,3,18,5,15,1,14,2,15,1,18,1,8,2,15,1,18,1,8,7,18,3,8,2,9,1,18,3,4,4,19,13,4,687,},
{4,694,19,18,4,2,10,2,8,15,10,6,18,2,3,1,18,1,10,2,8,2,10,1,18,1,3,3,10,5,18,1,10,4,3,5,16,12,18,1,10,2,18,1,3,6,18,1,10,5,8,2,3,1,16,3,3,1,10,2,18,1,3,2,18,1,10,2,18,1,8,1,10,3,3,1,16,5,3,1,8,1,10,1,18,1,3,3,8,1,10,3,18,1,10,2,8,1,18,2,8,3,18,3,8,1,10,2,8,1,18,2,10,16,8,1,18,2,8,2,10,2,8,3,18,1,8,1,10,16,18,1,10,2,8,3,18,1,8,1,10,4,8,2,10,8,18,1,3,1,14,1,3,1,16,2,3,1,14,1,3,2,14,1,9,1,10,1,8,1,18,3,8,1,10,10,8,3,10,1,8,8,10,7,8,2,10,297,8,2,10,147,9,4,8,1,9,2,10,6,8,2,10,18,9,1,8,4,10,10,8,8,10,8,8,1,10,6,8,1,18,3,8,1,9,6,10,28,8,2,10,16,8,2,10,7,8,4,10,1,8,6,10,5,8,4,10,18,4,5,19,7,4,346,19,6,4,4,10,1,8,27,10,1,8,9,10,7,8,4,10,8,8,3,9,3,10,2,9,8,8,4,9,3,8,4,9,3,8,61,15,1,8,15,10,4,8,1,18,3,9,1,10,4,18,1,4,11,18,1,4,2,18,2,4,4,19,4,4,16,19,8,4,2,19,7,4,1,18,1,8,3,10,6,8,5,10,3,9,1,8,11,18,2,8,2,15,2,18,1,8,6,18,1,15,5,18,1,8,2,15,16,14,1,15,1,8,5,18,3,8,4,18,1,15,1,14,2,15,5,8,9,18,3,8,1,9,2,18,2,4,5,19,13,4,686,},
{4,694,19,18,4,2,10,1,8,16,10,6,18,4,10,1,8,1,10,2,18,1,3,4,18,1,10,4,18,3,10,2,18,4,3,2,16,2,3,1,16,8,3,1,18,1,10,1,18,1,3,1,16,2,3,3,18,1,10,1,18,2,10,2,18,1,3,1,16,4,3,1,8,1,10,1,18,1,3,3,18,4,8,1,10,2,18,1,16,5,3,1,8,1,10,1,8,1,14,1,3,2,8,1,10,6,8,1,18,2,8,4,18,1,8,1,10,3,8,1,18,2,10,16,8,3,18,1,8,1,18,7,10,7,8,2,10,10,8,1,10,8,18,2,10,8,14,1,3,2,16,2,3,1,8,1,10,1,14,2,18,1,10,21,8,7,10,307,8,2,10,147,9,2,10,1,9,4,10,6,8,3,10,14,9,1,10,3,8,4,10,10,8,9,10,6,8,3,10,5,8,1,18,2,9,2,10,1,9,4,10,21,9,1,10,7,8,2,9,1,10,14,8,3,10,7,8,12,10,3,8,6,10,17,4,5,19,6,4,348,19,8,4,1,10,1,8,37,10,9,8,2,9,1,10,6,9,1,8,4,9,3,10,2,9,1,10,1,9,1,10,1,9,4,10,5,9,1,8,57,15,1,8,10,15,1,8,11,18,2,8,1,10,5,8,1,18,4,10,5,4,12,10,2,18,3,4,23,19,16,4,2,18,1,8,3,10,5,8,5,10,6,8,2,10,2,8,6,18,2,8,1,18,2,15,2,8,7,18,2,15,3,18,1,8,12,15,8,8,13,15,1,14,2,15,5,8,10,18,3,8,1,9,1,8,1,10,1,4,10,19,8,4,686,},
{4,694,19,16,4,3,10,1,8,10,10,2,8,4,10,7,18,2,8,1,10,1,8,1,9,1,10,2,3,6,18,1,10,4,3,2,18,1,10,5,18,1,3,4,16,4,3,3,16,2,3,1,18,1,3,2,16,2,3,1,18,2,9,1,10,1,9,1,10,2,18,1,3,1,16,4,3,1,18,4,3,3,18,1,3,3,18,1,10,1,18,1,10,1,14,1,16,4,3,1,8,1,10,2,8,1,14,1,18,1,8,1,10,1,8,3,10,1,8,3,18,2,8,5,10,2,8,2,18,1,8,2,10,5,8,2,10,5,8,5,18,6,8,1,18,1,3,1,18,1,10,8,8,1,10,19,8,3,10,1,8,1,18,1,14,1,18,1,10,2,18,1,3,2,16,1,3,1,18,1,10,2,9,1,8,1,10,21,8,6,10,406,8,1,10,54,9,3,10,8,8,1,10,14,9,1,8,1,10,5,8,3,10,7,8,13,10,4,8,3,10,5,8,1,18,1,10,6,9,2,10,11,8,1,10,9,9,1,10,7,8,3,10,14,8,3,10,6,8,3,10,2,8,10,10,1,8,6,10,17,4,5,19,6,4,348,19,8,4,1,10,1,8,22,10,2,8,8,10,3,8,3,10,8,8,3,10,6,9,6,8,2,9,6,8,1,9,2,10,5,9,1,8,69,15,1,8,12,18,1,8,1,10,6,8,1,18,3,10,5,4,4,18,7,10,3,8,2,18,3,4,21,19,15,4,3,18,2,8,3,10,4,8,3,10,12,8,3,10,1,8,2,18,1,15,1,8,3,18,1,15,1,18,1,8,10,15,2,8,11,15,11,8,10,18,1,15,8,8,4,15,2,18,1,8,4,18,2,10,2,9,1,10,2,4,9,19,8,4,686,},
{4,694,19,12,4,6,10,1,8,5,10,1,8,11,10,8,8,1,10,2,9,1,18,1,9,1,18,1,3,1,16,2,3,2,18,1,10,3,18,1,10,1,3,3,10,3,18,1,10,4,3,2,16,3,3,2,18,1,3,1,16,2,3,6,18,1,10,6,18,1,3,1,16,4,3,1,18,1,10,1,8,1,18,1,3,2,18,3,3,1,16,2,3,1,10,2,18,1,10,1,18,1,3,3,18,1,10,4,8,2,10,2,18,3,8,1,10,3,8,1,18,2,8,1,10,5,8,1,18,2,8,2,10,5,8,1,18,1,8,1,10,3,8,1,18,1,8,1,10,2,8,1,18,4,8,1,10,2,8,1,3,2,10,8,8,1,10,2,18,2,10,17,8,1,18,2,3,3,18,1,10,1,8,1,18,1,3,3,18,1,8,1,10,23,8,7,10,305,8,1,10,49,8,2,9,1,10,47,8,2,10,54,9,2,4,7,10,12,8,2,10,3,8,2,10,5,8,4,10,5,8,15,10,3,8,8,18,1,4,5,10,3,9,1,10,10,8,4,9,1,10,6,9,2,10,6,8,4,10,11,8,1,10,3,8,2,10,5,8,3,10,2,8,16,10,2,8,1,10,7,8,2,9,1,10,5,4,5,19,5,4,352,19,4,4,2,18,1,8,15,10,1,8,3,15,1,8,2,10,2,8,3,10,8,8,4,10,7,8,3,9,1,10,9,9,1,8,1,18,2,8,9,10,5,9,1,8,37,10,1,8,45,18,1,8,1,10,6,18,3,10,6,18,9,9,1,10,4,8,2,18,3,4,18,19,16,4,4,18,3,8,3,10,3,8,3,10,12,8,3,10,1,8,2,15,2,8,4,15,2,8,10,15,2,8,3,15,1,8,6,15,8,8,1,15,4,8,5,18,1,15,1,8,1,18,1,15,5,8,1,15,3,8,4,15,3,8,2,10,1,8,3,10,8,18,4,4,2,19,8,4,686,},
{4,694,19,12,4,4,10,1,8,7,10,1,8,6,10,1,8,6,10,7,8,2,9,1,18,1,10,1,18,1,3,5,18,1,8,1,18,1,8,1,10,2,3,3,18,1,3,3,18,1,10,3,18,1,3,4,18,1,10,2,3,1,16,2,3,5,18,1,10,3,18,2,10,2,18,1,3,1,16,3,3,1,18,3,3,3,18,1,10,2,18,1,3,1,16,2,3,1,10,5,8,4,10,8,18,3,8,1,10,3,8,1,18,2,8,1,10,1,8,2,10,1,8,1,18,3,8,2,10,5,8,3,10,2,8,1,18,3,8,1,10,2,18,3,8,1,10,4,3,2,8,1,10,7,8,1,10,2,18,3,10,15,8,1,18,1,3,2,16,3,3,1,18,1,8,1,18,1,3,2,14,1,18,1,8,1,10,22,8,3,10,178,8,2,10,130,8,1,10,41,8,2,10,7,8,1,18,2,8,1,10,103,4,8,10,10,8,4,10,2,9,2,10,6,8,3,10,5,8,24,18,2,4,6,10,2,9,2,10,11,8,4,9,1,10,5,8,2,10,6,9,1,8,3,10,9,8,4,10,2,8,2,10,4,8,4,10,2,8,10,10,2,8,4,10,2,8,2,10,14,4,5,19,5,4,352,19,4,4,2,18,1,8,14,10,4,8,5,10,1,8,4,10,4,8,1,10,2,8,5,10,6,9,1,8,2,9,6,10,3,9,2,8,1,18,2,8,1,9,5,8,1,9,2,10,4,9,2,8,39,10,1,8,41,10,1,8,4,10,5,8,1,18,2,10,5,18,6,8,4,10,6,8,2,18,3,4,13,19,19,4,5,18,2,8,4,10,2,8,4,10,12,8,3,10,1,8,2,18,2,8,5,18,1,8,10,15,7,8,4,15,9,8,1,15,4,8,5,18,2,8,2,15,4,8,9,15,2,8,3,10,2,8,1,10,13,4,2,19,8,4,686,},
{4,694,19,12,4,4,9,1,8,4,10,2,8,6,10,5,8,7,10,3,8,4,10,1,18,1,3,6,18,2,3,2,18,2,3,2,18,1,3,2,16,1,3,1,18,2,10,4,18,1,3,2,18,3,3,1,16,2,3,1,10,1,18,3,10,2,18,1,10,4,18,1,8,1,3,1,16,2,3,1,18,2,3,1,16,3,18,1,10,2,18,1,3,1,16,1,3,2,10,2,18,3,10,3,8,1,18,1,10,2,8,2,10,4,8,2,10,3,8,1,18,2,8,3,18,1,14,2,18,1,8,1,18,1,14,1,18,2,8,1,10,5,8,1,10,3,8,1,18,4,8,1,10,2,18,2,10,6,3,2,10,7,8,1,18,1,8,1,10,1,18,3,10,3,18,1,10,9,8,1,18,1,3,4,16,3,3,2,18,1,14,1,3,2,14,1,8,1,10,4,8,6,18,1,10,11,8,3,10,9,8,1,10,343,8,2,10,5,8,1,10,1,8,1,3,2,14,1,8,1,10,25,9,1,10,27,9,2,10,47,4,8,10,11,8,3,10,9,8,1,10,5,8,5,10,2,8,3,10,3,8,14,18,1,9,1,4,6,18,1,9,1,18,2,9,4,8,4,10,4,8,4,9,1,10,4,8,2,10,7,8,2,9,1,10,10,8,7,10,4,8,10,10,2,8,4,10,3,8,4,10,1,8,2,10,12,4,364,19,4,4,2,18,1,8,14,10,4,8,11,10,4,8,3,10,10,8,3,10,2,9,2,10,3,9,1,8,2,9,1,8,1,18,1,8,1,10,14,8,1,10,3,9,1,8,35,10,2,8,40,10,2,8,1,18,3,10,5,8,1,18,1,10,4,8,1,18,2,8,9,10,3,8,5,18,2,4,13,19,19,4,3,18,3,8,3,10,2,8,8,10,4,8,5,10,6,8,19,15,7,18,6,15,2,18,1,8,5,15,4,8,9,15,2,8,16,10,3,8,2,10,11,4,2,19,8,4,686,},
{4,694,19,12,4,3,18,1,8,5,10,3,8,2,9,1,10,2,4,4,10,1,9,1,8,7,10,2,8,4,10,1,18,1,3,2,18,2,3,12,16,3,3,2,18,1,10,1,18,1,10,2,18,5,3,1,16,1,3,1,9,1,10,13,3,4,18,1,3,1,16,4,18,1,10,2,18,1,16,2,3,1,18,1,8,1,18,1,3,2,18,1,10,3,18,1,14,1,8,1,10,1,8,2,10,8,8,2,18,2,8,1,10,1,8,1,18,1,14,2,18,1,8,2,18,4,10,9,8,1,18,4,8,1,10,2,8,5,10,3,18,2,10,7,8,1,18,1,8,1,10,2,18,2,10,3,18,1,10,9,8,1,18,1,3,5,16,3,3,2,14,1,3,1,14,1,18,1,10,4,18,1,14,2,18,5,8,1,10,9,8,4,10,6,8,5,10,151,8,1,10,152,8,1,10,38,8,1,10,4,8,2,10,2,14,1,3,1,18,1,8,1,10,25,9,1,10,27,9,2,10,36,18,1,10,10,4,8,10,7,8,1,10,4,8,2,10,6,8,4,10,4,8,5,10,3,8,3,10,3,8,6,18,2,8,7,10,1,4,6,18,6,8,3,18,1,8,3,10,4,8,4,10,3,8,3,10,3,9,1,8,1,10,2,8,1,9,1,10,5,8,3,10,2,8,8,10,3,8,2,18,1,8,8,10,2,8,4,10,3,8,3,10,16,4,364,19,5,4,1,18,1,8,14,10,5,8,11,10,3,8,2,10,11,8,3,10,2,8,2,9,1,10,1,9,1,8,3,10,2,9,1,10,20,8,27,15,2,8,6,10,2,8,43,18,3,8,1,10,5,8,1,10,4,18,3,8,2,10,2,8,5,10,3,8,6,18,2,4,12,19,19,4,3,10,1,8,4,10,3,8,18,10,5,8,19,15,4,18,3,15,4,18,3,8,6,15,2,8,2,15,1,8,7,10,1,9,1,8,1,15,1,8,3,15,1,8,4,15,2,8,6,10,4,8,1,10,11,4,2,19,2,4,2,19,4,4,686,},
{4,694,19,12,4,2,10,1,8,6,10,2,8,3,18,1,4,8,18,1,8,6,10,3,8,3,10,1,8,1,18,1,8,1,10,1,18,1,3,3,18,2,3,6,16,5,3,1,10,1,18,2,10,5,18,1,3,4,10,1,18,1,10,7,18,4,8,1,10,1,8,1,18,1,3,4,16,3,18,1,10,2,18,1,16,2,3,4,16,1,3,1,18,1,10,2,8,1,3,3,18,1,8,1,10,6,8,1,18,4,8,1,10,1,8,2,18,3,8,2,10,3,18,3,8,1,10,4,8,2,10,1,8,2,18,2,8,1,18,1,8,1,10,3,8,1,18,1,3,1,18,1,8,1,10,2,8,1,10,2,18,1,10,6,18,1,8,1,10,2,18,2,10,13,8,2,18,3,8,1,18,1,3,4,14,1,18,3,9,1,10,3,18,1,14,1,3,2,14,1,18,1,8,2,18,1,8,1,10,10,8,4,10,4,8,7,10,150,8,1,10,191,8,1,10,8,18,2,9,1,10,92,9,1,10,5,8,2,10,1,4,14,10,3,8,1,10,4,8,2,10,6,8,4,10,4,8,5,10,8,8,4,10,3,8,9,10,1,4,6,18,3,9,4,8,7,10,1,8,5,9,1,10,3,8,4,10,2,9,1,8,4,10,5,8,13,10,4,8,12,10,1,8,4,10,20,4,364,19,7,4,1,18,1,8,14,10,4,8,12,10,3,8,2,10,11,8,3,10,1,9,1,8,4,9,2,8,1,9,1,10,24,8,26,15,3,8,4,10,4,8,39,18,6,8,1,10,10,18,3,8,9,10,3,8,5,18,5,4,10,19,16,4,5,10,1,9,1,8,1,10,6,8,3,10,3,8,12,10,5,8,19,15,3,8,1,18,1,8,2,18,2,15,4,18,1,8,7,15,1,8,1,15,3,8,3,15,2,8,3,15,2,8,2,15,3,8,8,10,19,4,6,19,4,4,686,},
{4,694,19,12,4,2,8,11,9,1,4,10,10,1,8,6,10,3,8,2,10,5,18,1,3,3,18,2,3,1,16,2,3,3,16,1,3,1,16,2,3,1,18,1,10,3,18,2,10,4,18,1,3,1,18,1,10,4,18,1,10,4,3,3,18,2,10,4,3,5,16,2,18,2,10,1,18,1,16,2,3,3,16,2,3,1,18,1,10,2,18,1,3,3,18,1,10,7,8,1,14,1,3,1,14,1,8,1,10,3,8,3,10,7,18,2,8,1,10,5,8,9,10,3,8,1,3,2,18,1,10,6,18,1,10,2,18,1,10,3,8,2,10,2,18,2,10,12,8,2,10,2,8,1,10,3,8,1,3,3,18,1,10,6,18,1,14,1,3,2,14,2,18,1,8,1,10,1,8,2,10,11,8,14,10,427,9,1,10,19,9,4,8,3,10,1,4,14,10,3,8,1,10,4,8,2,10,6,8,4,10,3,8,5,10,8,8,5,10,4,8,2,18,1,8,2,18,1,8,1,10,3,4,5,18,2,9,5,8,15,9,2,8,2,18,1,8,1,9,1,10,2,9,1,8,3,9,1,10,4,8,7,10,2,8,4,10,4,8,16,10,21,4,363,19,8,4,1,10,1,8,14,10,1,8,2,10,1,8,11,10,17,8,10,9,2,10,29,8,23,15,3,8,3,10,4,8,39,18,3,8,3,10,10,8,3,18,1,8,9,10,3,8,2,10,1,8,4,18,1,15,1,18,1,4,11,19,14,4,5,18,1,9,1,8,2,10,5,8,2,10,6,8,35,15,2,8,5,18,1,15,5,18,2,8,6,15,5,8,2,15,3,8,3,15,2,8,2,15,4,8,7,10,12,8,2,9,1,10,4,4,5,19,9,4,682,},
{4,694,19,12,4,2,9,1,8,11,4,10,9,1,8,6,10,3,8,2,10,2,8,2,10,1,3,6,16,6,3,4,18,1,10,2,18,1,3,3,18,1,10,2,18,1,10,5,18,5,10,1,18,1,3,1,16,1,3,1,18,1,10,2,18,1,10,1,18,1,3,5,16,1,3,1,18,2,10,1,18,1,16,2,3,1,18,1,3,3,18,1,10,3,8,1,3,3,18,1,10,2,8,2,10,3,8,1,14,2,18,1,8,2,10,13,8,2,10,5,8,10,10,3,18,1,3,1,18,1,10,8,18,2,10,3,8,2,10,2,18,2,10,12,8,1,10,7,18,1,3,3,18,1,10,4,8,2,18,1,14,2,18,3,8,1,10,3,8,1,10,12,8,14,10,396,9,2,10,12,9,2,10,26,8,1,10,8,9,1,10,2,8,3,10,1,4,2,19,5,4,7,10,3,8,1,10,4,8,2,10,5,8,5,10,3,8,5,10,2,8,2,10,4,8,5,10,5,18,5,9,1,10,5,18,1,10,2,9,1,8,1,9,2,8,24,9,1,10,4,8,3,9,1,10,4,8,11,10,5,8,14,10,2,8,5,10,16,4,362,19,8,4,2,10,1,8,13,10,2,8,15,10,14,8,1,10,1,8,11,10,32,8,21,15,3,8,3,10,4,8,4,15,1,8,34,18,2,8,1,10,12,8,2,18,1,8,6,10,1,8,5,10,2,8,2,10,2,8,4,15,1,18,1,4,12,19,2,4,2,19,4,4,10,18,1,8,3,10,5,8,2,10,6,8,35,15,2,8,5,18,1,15,7,8,6,15,10,8,3,15,2,8,2,15,4,8,7,10,11,8,1,18,2,8,1,10,4,4,4,19,10,4,682,},
{4,694,19,12,4,2,9,1,8,10,10,1,4,10,10,1,8,4,10,5,8,5,10,1,18,1,3,5,16,5,3,2,18,2,10,1,18,1,10,3,3,1,16,2,3,1,18,1,10,3,18,1,10,3,18,1,3,5,18,1,3,2,16,1,3,2,18,1,10,1,18,1,8,1,18,1,3,7,8,1,10,2,18,1,3,2,4,2,3,3,8,1,10,4,14,1,3,2,18,1,10,2,8,1,18,1,8,2,10,1,8,1,18,2,8,2,18,1,8,1,10,20,8,1,10,3,8,2,10,2,8,2,10,2,18,2,8,1,10,8,18,2,10,3,8,1,10,3,18,2,10,20,3,1,16,2,3,1,18,1,10,3,8,1,18,1,14,2,18,1,8,1,9,1,10,1,9,1,10,5,8,1,10,14,8,11,10,405,9,1,10,4,9,2,10,26,8,1,10,12,8,2,10,1,4,2,19,6,4,6,10,3,8,1,10,4,8,2,10,5,8,5,10,4,8,4,10,2,8,2,10,3,8,1,10,4,8,4,10,2,18,6,10,4,9,1,18,1,9,1,10,2,9,2,8,12,10,3,8,10,9,1,10,4,8,5,10,9,8,5,10,5,8,14,10,2,8,5,10,12,8,1,10,3,4,362,19,8,4,2,9,1,8,13,10,2,8,15,10,13,8,2,10,2,8,10,10,13,8,3,9,1,10,17,9,1,8,25,10,6,8,1,15,2,8,35,10,13,18,4,8,4,10,3,8,8,10,2,8,2,10,2,18,3,4,7,18,2,4,19,18,2,8,6,10,3,8,2,10,4,8,8,10,3,8,24,15,2,8,4,18,2,15,8,8,7,15,10,8,2,15,2,8,2,15,4,8,7,10,11,8,4,10,2,8,1,10,1,4,4,19,10,4,682,},
{4,694,19,11,4,3,9,1,8,9,18,1,4,5,19,5,4,1,9,1,8,4,10,4,8,6,10,1,3,4,18,1,3,1,16,4,3,2,18,1,10,3,18,1,3,1,10,1,18,1,16,3,3,2,18,6,3,3,16,3,3,3,18,2,3,2,18,2,10,2,3,3,18,3,8,2,18,2,10,2,18,1,4,3,3,3,18,1,8,1,10,3,3,3,18,1,10,2,8,1,18,1,14,1,18,1,10,2,8,4,18,2,10,7,8,1,18,1,8,1,10,1,18,1,10,2,8,2,10,14,8,2,18,4,10,16,18,2,10,17,8,2,3,1,16,3,3,1,14,1,8,2,18,2,3,2,14,1,8,1,10,24,8,10,10,147,8,2,10,257,9,2,10,3,9,2,10,40,8,1,18,1,4,2,19,6,4,6,10,2,8,2,10,4,8,2,10,5,8,4,10,5,8,4,10,2,8,2,10,2,8,1,10,5,8,2,18,1,8,1,10,1,4,11,18,2,10,4,9,1,8,7,10,1,8,4,10,3,8,4,18,1,8,5,9,1,10,4,8,8,10,6,8,5,10,3,8,2,10,2,8,12,10,2,8,5,10,16,4,362,19,7,4,2,18,1,8,11,10,1,8,1,10,3,8,2,10,3,8,10,10,7,8,1,10,4,8,3,10,2,8,10,9,1,10,3,9,1,8,13,10,16,9,1,8,23,15,1,8,1,10,6,8,2,15,2,8,33,10,13,8,1,18,3,8,5,10,4,8,7,10,2,8,1,10,3,8,1,18,12,4,1,10,1,4,1,18,3,4,2,18,3,10,3,18,5,8,8,10,3,8,13,10,3,8,24,15,2,8,4,18,1,15,9,8,9,15,8,8,2,15,2,8,2,15,4,8,6,10,12,8,2,10,9,4,2,19,11,4,680,},
{4,694,19,12,4,2,10,1,8,8,9,1,4,6,19,6,9,1,8,4,10,3,8,3,10,1,8,3,18,1,3,6,16,3,3,3,18,1,10,2,18,1,3,2,18,2,16,3,3,2,18,1,3,14,10,2,18,1,3,3,18,2,3,2,18,2,8,1,10,1,18,1,10,1,18,1,3,1,18,1,10,1,4,4,3,1,16,1,3,1,14,1,8,1,10,3,3,4,8,1,10,1,8,1,18,1,14,1,18,1,10,4,8,1,18,1,14,1,18,1,10,5,8,5,10,4,18,3,10,14,8,2,18,3,10,8,18,1,10,26,8,1,18,1,3,1,16,3,3,8,18,1,10,5,9,1,10,19,8,12,10,145,8,1,10,258,8,1,9,1,10,45,9,1,18,1,4,2,19,6,4,6,10,2,8,1,10,5,8,2,9,1,10,1,9,2,10,3,8,2,10,5,8,3,10,13,8,1,18,3,4,6,19,4,4,2,10,1,9,1,10,5,8,6,10,3,8,4,10,2,8,4,18,1,8,2,10,1,8,3,10,4,8,8,10,7,8,4,10,3,8,3,10,1,8,12,10,3,8,3,10,8,9,1,10,8,4,362,19,7,4,2,18,1,8,11,10,5,8,2,10,4,8,11,10,4,8,3,10,3,8,3,10,2,8,11,10,2,8,5,18,2,8,10,10,11,8,1,10,2,8,15,10,1,8,7,15,3,8,1,10,6,8,36,10,13,8,1,18,3,8,5,10,4,8,9,10,6,9,1,8,1,18,4,9,1,18,4,9,1,10,2,18,3,10,2,8,2,10,4,9,1,18,3,8,1,10,1,8,7,10,3,8,13,10,3,8,23,15,4,8,2,18,1,15,10,8,13,15,8,8,1,15,4,8,6,10,25,4,1,19,7,4,2,19,5,4,677,},
{4,694,19,12,4,2,9,1,8,8,9,1,18,1,4,5,19,5,4,1,9,1,8,4,10,1,8,4,10,2,8,2,10,2,18,1,3,1,18,2,3,7,16,1,3,6,18,2,3,1,16,2,3,5,16,3,3,1,18,1,10,1,18,1,3,4,18,1,10,2,3,4,18,2,3,2,18,1,10,5,3,4,18,2,4,2,3,1,16,1,3,2,10,4,3,2,16,1,3,1,18,1,10,2,8,1,18,2,10,4,18,3,8,2,10,3,8,1,18,2,8,1,10,6,18,1,14,1,18,1,8,1,10,13,8,1,18,2,3,1,18,1,10,3,8,1,10,4,18,1,10,15,18,2,10,10,18,1,16,4,3,6,18,2,8,1,10,3,8,6,10,10,8,1,10,2,8,16,10,103,8,1,10,40,8,1,10,158,8,1,10,99,9,2,10,22,8,3,10,17,9,1,10,2,18,1,4,3,19,6,4,6,10,2,8,1,10,5,8,2,9,4,10,3,8,3,10,4,8,1,10,15,8,2,18,2,4,2,19,8,4,2,10,8,8,5,10,2,8,14,10,1,8,3,10,3,8,1,18,1,8,3,18,3,8,2,10,6,8,3,10,4,8,3,10,1,8,4,10,1,8,7,10,3,8,3,10,7,9,2,10,8,4,361,19,8,4,3,8,13,10,2,8,3,10,4,8,2,10,1,8,9,10,3,8,3,10,3,8,3,10,2,8,10,10,3,8,6,18,2,8,9,10,2,8,2,10,6,8,19,10,4,8,4,15,3,8,1,10,8,8,37,10,10,8,1,18,2,8,6,10,4,8,9,10,7,8,2,18,3,10,1,9,1,18,3,8,1,10,2,8,3,10,8,9,1,18,2,8,1,10,3,8,6,10,3,8,31,15,3,8,4,15,5,8,2,18,1,15,7,18,2,8,16,15,10,18,1,8,5,10,7,8,1,10,18,4,4,19,3,4,5,19,6,4,674,},
{4,694,19,12,4,2,9,1,8,3,10,3,8,2,9,1,18,1,4,5,19,6,4,1,10,1,8,7,10,3,8,2,10,5,18,1,3,4,10,2,3,1,16,1,3,1,16,3,3,4,16,2,3,6,16,3,3,1,10,4,18,3,10,3,3,3,18,3,3,2,10,1,8,1,10,2,18,1,10,1,3,6,18,2,3,4,8,1,10,3,18,1,3,1,16,1,3,1,18,1,10,3,8,3,10,3,18,3,8,2,10,4,8,2,10,6,8,1,18,3,8,1,10,14,18,4,10,2,18,2,10,20,18,2,10,8,18,1,10,1,18,1,3,1,16,2,3,1,14,1,3,2,16,1,3,1,14,1,8,3,10,2,8,1,18,6,8,1,10,8,18,1,8,1,10,3,8,15,10,217,8,3,10,83,8,1,10,124,8,1,10,18,9,1,10,2,4,4,19,5,4,7,18,1,10,7,8,2,9,4,10,4,8,3,10,3,8,1,10,14,9,1,8,3,9,1,4,2,19,8,4,2,10,8,8,5,10,2,8,13,10,2,8,3,10,3,8,5,18,4,8,2,10,6,8,2,10,4,8,3,10,1,8,3,10,4,8,5,10,3,8,2,10,7,9,3,10,8,4,360,19,5,4,6,10,2,8,16,10,9,8,4,10,1,8,4,10,2,8,3,10,2,8,5,10,1,8,10,10,3,8,6,18,2,8,3,9,1,8,2,18,1,8,2,10,2,8,3,10,4,8,20,10,4,8,4,18,1,15,2,8,1,10,9,8,15,10,2,8,25,10,4,8,9,10,4,8,10,10,6,8,1,10,1,8,1,18,1,8,1,10,2,8,8,10,9,8,3,10,4,8,2,10,1,8,3,10,3,8,3,10,1,8,26,15,6,8,1,15,6,8,2,18,1,15,1,18,6,8,9,15,1,8,8,15,9,18,1,8,6,10,6,8,2,10,19,4,7,18,3,4,1,19,6,4,674,},
{4,694,19,12,4,2,9,1,8,2,10,5,8,1,9,1,18,1,4,4,19,6,4,3,10,1,8,5,10,3,8,3,10,2,9,2,10,1,18,1,3,1,16,2,3,1,10,2,18,1,3,3,16,3,3,2,16,3,3,2,18,2,3,1,16,3,3,1,18,2,10,10,18,2,10,1,8,1,18,2,10,1,18,2,10,4,18,3,3,3,18,2,8,1,18,1,3,2,18,1,10,1,18,1,10,2,3,1,16,1,3,1,18,1,10,4,8,2,10,3,8,1,18,4,8,1,10,11,8,1,18,2,8,1,10,3,8,2,10,10,18,1,3,1,18,1,10,3,18,2,10,20,18,2,10,6,8,1,10,4,14,1,3,2,18,2,3,4,18,1,8,3,10,2,18,3,14,1,3,1,14,1,18,1,8,1,10,8,18,1,8,1,10,3,8,15,10,217,8,2,10,84,8,1,10,130,8,2,10,14,4,3,19,3,4,11,10,7,8,2,9,3,10,5,8,5,10,14,8,4,9,1,10,2,4,2,19,8,4,2,10,3,8,25,10,2,8,3,10,3,8,6,18,1,8,4,10,7,8,1,10,4,8,7,10,4,8,5,10,3,8,2,10,7,9,4,10,7,4,360,19,4,4,4,18,1,10,4,8,11,10,2,8,3,10,6,8,1,10,2,8,4,10,2,8,3,10,2,8,2,10,4,8,3,10,5,8,1,10,1,8,6,10,2,8,3,10,1,8,2,18,2,8,9,10,2,8,3,10,3,8,11,10,1,8,11,10,2,8,5,15,1,18,1,8,3,10,7,8,14,10,2,8,19,18,6,8,2,10,5,8,8,10,3,8,4,10,2,8,7,10,3,8,1,10,1,8,1,18,1,8,1,10,3,8,3,18,2,8,1,10,2,8,2,10,7,8,1,10,5,8,2,10,2,8,2,10,9,8,25,15,5,8,1,15,5,8,4,18,4,8,12,15,2,8,8,15,8,8,8,10,4,8,3,10,5,8,3,10,13,18,5,3,3,4,2,19,6,4,673,},
{4,694,19,12,4,2,9,1,8,1,10,7,9,1,18,1,4,3,19,8,4,2,10,1,8,5,10,2,8,4,10,1,8,1,18,2,10,1,18,1,3,2,16,1,3,1,10,3,18,2,3,1,16,3,3,2,16,4,3,1,18,2,3,4,10,2,3,3,18,1,10,2,18,1,10,14,8,1,18,4,3,4,18,1,10,3,18,1,3,1,18,1,10,4,18,1,3,2,8,1,10,4,8,2,10,4,18,1,3,2,14,1,18,1,8,1,10,9,8,3,10,4,8,2,18,1,8,2,10,2,8,2,10,4,18,1,3,1,10,4,18,2,10,19,18,2,10,7,8,2,10,3,8,1,18,2,8,2,18,1,14,1,18,2,8,6,18,2,14,1,3,2,14,1,18,1,8,1,10,8,18,1,8,1,10,3,8,2,10,7,8,5,10,394,9,1,10,40,8,2,10,7,9,2,10,5,4,1,19,5,4,12,10,6,8,2,9,3,10,5,8,3,10,16,18,3,8,1,10,3,4,2,19,7,4,3,10,3,8,10,10,2,8,12,10,3,8,3,10,4,9,1,8,7,9,2,10,6,8,1,10,5,8,7,10,4,8,6,10,11,9,3,10,8,4,360,19,5,4,2,18,2,10,4,8,8,10,1,8,2,10,2,8,3,10,5,8,2,10,2,8,4,10,2,8,3,10,19,8,4,10,2,8,4,10,1,8,2,18,3,8,7,10,3,8,7,10,1,8,1,9,1,10,3,8,3,10,3,8,11,10,2,8,10,10,6,8,15,10,1,8,20,18,5,8,4,10,4,8,3,18,2,8,9,10,2,8,7,10,3,8,1,10,2,8,2,10,3,8,3,18,2,8,1,10,1,8,4,10,6,8,1,10,4,8,2,10,3,8,2,10,9,8,21,10,1,8,4,15,4,8,2,15,4,8,19,15,3,8,3,15,2,8,3,15,1,14,2,15,4,18,1,8,5,18,1,8,3,10,1,8,2,18,1,8,2,10,3,8,6,10,1,8,2,10,8,8,3,18,3,3,3,4,2,19,7,4,672,},
{4,694,19,12,4,2,9,1,8,1,10,6,8,2,18,1,4,3,19,8,4,2,10,1,8,5,10,1,8,5,10,1,9,1,18,1,9,1,10,1,18,1,3,4,18,2,10,1,18,1,3,2,16,3,3,5,16,2,3,4,18,1,10,2,18,1,3,1,16,2,3,5,18,1,10,2,18,2,10,5,18,4,3,8,18,1,10,3,18,2,10,4,8,1,18,1,3,2,18,1,10,3,8,3,10,4,18,1,3,3,18,1,14,1,18,1,10,4,18,2,10,2,8,2,10,6,18,4,8,4,10,4,18,2,10,4,8,2,10,3,8,1,18,1,10,13,18,2,10,8,8,1,18,1,10,6,8,1,18,3,8,1,10,1,8,1,18,4,8,2,18,1,14,1,3,2,18,2,10,9,8,2,10,3,8,1,10,8,8,5,10,86,8,1,10,327,9,1,10,20,8,2,10,7,9,1,10,6,4,1,19,6,4,11,10,6,8,2,9,1,10,1,9,1,10,5,8,2,10,17,8,1,18,2,8,1,9,1,10,2,4,2,19,6,4,4,10,3,8,11,10,4,9,1,8,8,10,2,8,4,10,5,9,1,8,4,9,2,10,3,9,3,8,4,10,4,8,6,10,3,8,1,10,17,9,5,10,7,4,360,19,5,4,2,18,2,8,1,10,3,8,8,10,1,8,2,10,2,8,2,10,6,8,3,10,1,8,4,10,2,8,3,10,19,8,4,10,2,8,8,18,3,8,6,10,4,8,6,10,6,8,2,10,3,8,11,10,3,8,8,18,2,8,1,10,1,9,1,10,3,8,38,18,1,8,7,10,3,8,2,18,3,8,10,10,1,8,7,10,2,8,2,10,2,8,2,10,4,8,8,18,1,8,1,10,6,8,2,10,2,8,3,10,4,8,3,10,7,8,27,15,3,8,3,15,2,8,21,15,2,8,3,15,2,8,3,15,1,14,2,15,1,8,1,15,2,8,6,18,2,8,3,18,2,15,1,18,1,8,6,18,2,8,3,18,1,8,1,10,9,8,4,18,1,14,1,3,1,18,1,4,2,19,7,4,672,},
{4,694,19,12,4,2,9,1,8,1,10,5,8,3,4,4,19,8,4,2,10,1,8,15,10,1,18,5,3,2,18,1,3,2,16,2,3,7,16,2,3,1,18,2,10,1,18,2,10,1,18,1,3,2,16,5,3,1,18,1,10,2,18,1,3,1,18,1,10,3,18,1,3,2,18,1,3,4,16,3,3,1,18,2,10,3,8,2,10,1,18,1,10,1,8,2,18,3,8,1,10,3,8,2,10,5,18,1,3,2,14,1,3,3,10,3,18,3,8,1,10,1,8,2,10,6,8,1,18,3,8,4,10,4,18,2,10,9,8,2,10,14,18,1,10,9,8,1,10,6,18,1,3,2,18,1,10,3,18,5,8,1,18,1,14,2,18,2,8,1,10,9,8,2,10,2,8,3,10,6,8,6,10,84,8,5,10,325,18,1,10,35,18,1,4,1,19,7,4,10,10,6,8,2,10,6,8,3,10,9,9,1,10,9,9,1,8,2,9,1,10,2,4,2,19,6,4,4,10,2,8,8,10,8,9,2,8,6,10,2,8,7,10,7,9,1,8,2,9,4,8,9,10,2,8,5,10,2,8,4,10,15,9,2,10,4,9,1,10,5,4,361,19,4,4,3,8,2,10,4,8,6,10,2,8,2,10,2,8,2,10,5,8,9,10,2,8,4,10,10,8,2,10,7,8,3,10,2,8,9,18,4,8,2,10,6,8,6,10,4,8,3,10,4,8,11,9,1,10,2,8,8,18,2,8,1,9,1,8,2,9,2,8,35,9,1,8,2,18,2,8,3,18,3,10,4,8,1,18,2,8,4,18,2,8,5,9,1,8,3,10,1,8,8,10,1,8,2,10,4,8,8,15,1,8,1,10,6,8,2,10,2,8,3,10,4,8,4,10,7,8,12,10,3,8,10,15,4,8,4,15,1,8,9,15,4,8,8,15,2,8,3,15,3,8,2,15,1,14,2,15,1,8,3,18,2,8,4,18,6,15,2,18,1,8,4,18,4,8,1,10,1,8,1,18,1,8,1,10,8,8,5,18,4,4,3,19,6,4,672,},
{4,691,19,15,4,2,8,2,10,5,8,2,9,1,18,1,4,3,19,8,4,2,8,9,10,3,8,2,10,8,18,1,3,3,16,3,3,3,18,1,3,2,16,2,3,1,4,2,10,1,18,2,10,1,18,2,4,1,18,1,3,1,16,4,3,1,18,1,10,2,18,1,3,2,10,3,18,2,3,3,16,5,3,1,18,1,10,1,8,2,10,4,18,2,10,1,8,1,18,2,8,3,10,3,8,1,10,6,8,2,18,2,3,1,16,1,3,1,8,1,10,1,8,1,18,3,8,2,18,2,8,1,10,6,8,1,18,2,8,1,10,1,8,1,10,10,8,1,10,2,8,1,10,6,18,1,10,4,18,2,10,4,18,2,10,15,18,1,3,3,14,1,10,5,8,1,18,2,9,1,8,1,18,3,8,1,10,10,8,7,10,5,8,7,10,84,8,6,10,1,8,1,10,208,4,22,10,83,4,12,10,15,8,2,10,17,4,1,19,6,4,11,10,6,8,2,10,4,8,5,10,8,8,1,18,1,8,1,10,10,8,2,9,1,10,1,4,2,19,5,4,5,10,1,8,7,10,10,9,1,8,7,10,2,8,8,10,6,8,7,9,2,8,3,10,1,8,4,10,1,8,2,18,1,8,2,10,2,8,4,10,21,9,2,10,1,4,371,10,6,8,6,10,3,8,1,10,2,8,2,10,5,8,15,10,5,8,3,10,1,8,3,10,7,8,2,10,4,8,6,10,1,8,2,18,3,8,2,10,4,8,8,9,1,8,21,10,3,8,4,18,2,8,2,18,2,8,1,9,1,8,36,15,1,18,1,8,4,18,2,8,2,18,4,10,4,18,2,8,1,9,1,10,2,8,9,9,2,10,3,8,10,10,3,8,3,10,2,8,2,10,1,8,3,10,6,8,2,10,2,8,2,10,4,8,6,10,9,8,8,10,6,8,8,15,10,8,7,15,7,8,6,15,2,8,3,15,3,8,2,15,1,14,2,8,4,18,3,8,4,18,2,8,1,18,4,8,3,18,5,8,1,10,3,8,2,10,7,8,3,18,5,8,1,9,1,10,2,4,2,19,6,4,671,},
{4,688,19,18,4,2,9,1,10,6,8,2,9,1,4,4,19,8,4,2,18,2,9,2,8,4,10,4,8,2,10,5,18,2,10,1,18,1,3,3,16,3,3,2,18,2,3,1,16,2,3,1,4,4,18,1,10,2,18,1,4,3,3,1,16,5,3,1,18,1,10,1,18,1,3,2,18,1,10,1,8,1,18,1,3,3,16,6,3,1,10,3,8,1,10,4,18,2,10,1,8,1,18,2,10,2,8,1,10,13,18,1,3,1,16,1,3,1,8,1,10,1,18,2,8,2,18,3,8,1,10,8,18,2,8,1,10,11,8,1,18,1,8,3,10,11,18,2,10,4,18,2,10,15,18,1,3,1,16,2,3,1,10,6,8,2,10,2,8,2,10,13,8,7,10,3,8,8,10,84,8,5,10,3,8,1,10,61,8,2,10,143,4,3,19,5,4,16,10,82,4,12,10,15,8,2,10,17,4,1,19,6,4,11,10,6,8,2,10,5,8,3,10,9,8,2,9,1,10,11,8,2,10,1,4,2,19,4,4,6,10,1,9,1,10,1,8,5,10,11,8,7,10,2,8,9,10,6,8,1,18,2,8,1,9,1,10,3,9,3,8,5,10,1,8,5,10,1,8,5,10,23,4,372,10,6,8,6,10,2,8,2,10,2,8,2,10,5,8,16,10,3,8,4,10,1,8,5,10,6,8,1,10,3,8,6,10,3,8,5,10,8,8,5,9,1,10,1,9,1,8,5,9,1,8,14,10,2,8,8,18,1,8,7,10,2,8,30,15,2,8,9,18,3,10,3,8,4,10,4,8,7,10,6,8,9,10,4,8,3,10,2,8,2,10,1,8,4,10,4,8,3,10,8,8,2,10,2,8,2,10,9,8,9,10,5,8,9,15,9,8,6,15,8,8,11,15,2,8,3,15,3,8,4,18,1,15,1,18,1,8,13,18,5,8,2,10,3,8,2,10,8,8,1,18,1,15,1,18,4,8,1,10,4,4,1,19,8,4,669,},
{4,688,19,13,4,1,19,1,4,5,10,10,4,4,19,8,4,2,18,5,8,2,10,4,8,4,10,7,18,3,3,3,16,2,3,1,18,3,3,2,4,4,18,4,4,4,3,1,16,6,3,1,18,2,3,2,18,1,10,2,18,1,3,1,16,3,3,4,16,1,3,1,10,6,18,1,10,2,18,1,10,2,18,2,10,15,8,1,3,4,18,1,8,1,18,1,8,1,10,2,18,2,8,1,10,9,18,2,8,1,10,9,8,1,18,2,8,3,10,3,18,1,10,8,18,1,10,22,18,1,3,2,16,1,3,1,14,1,8,1,10,4,8,1,10,21,8,4,10,3,8,1,10,41,8,1,10,264,4,2,19,12,4,10,10,10,9,2,10,70,4,13,10,15,8,1,10,17,4,3,19,5,4,10,18,1,9,1,10,4,8,2,10,31,8,1,18,1,10,1,4,2,19,5,4,5,10,3,8,5,10,11,8,19,10,6,8,3,10,5,9,2,8,18,10,22,4,372,10,6,8,14,10,4,8,16,10,4,8,11,10,6,8,10,9,1,10,4,9,3,10,8,8,4,9,1,10,2,9,1,8,3,10,2,8,3,10,3,8,11,10,4,8,10,10,4,8,9,15,1,8,27,10,2,8,4,10,2,8,5,10,8,8,3,10,6,8,3,10,3,8,2,10,6,8,1,10,5,8,5,10,3,8,5,10,3,8,2,10,2,8,2,10,11,8,5,10,3,8,3,10,4,8,7,10,1,8,6,15,5,18,1,15,1,8,4,15,3,8,4,15,3,8,6,15,4,8,5,15,2,8,3,15,4,8,13,18,1,15,2,8,10,10,7,18,1,14,2,18,1,8,2,18,2,10,3,18,1,4,1,19,13,4,664,},
{4,688,19,7,4,12,10,11,4,5,19,3,4,1,19,3,4,3,18,3,9,1,8,1,10,8,8,2,18,3,10,4,18,4,3,1,16,2,3,1,18,1,10,1,18,3,4,3,3,1,4,2,18,2,4,3,18,1,3,1,16,7,3,1,18,2,10,4,18,1,3,1,16,3,3,1,14,1,3,4,18,1,10,5,18,1,8,1,10,5,8,1,10,13,18,1,10,1,8,1,3,2,18,1,8,1,18,1,8,2,10,3,18,2,10,10,18,2,8,1,10,9,18,1,14,1,8,1,10,1,8,1,10,3,18,2,10,2,8,1,10,29,18,1,3,4,18,1,8,1,10,3,8,1,10,40,8,4,10,3,8,4,10,19,8,1,10,20,8,1,10,243,4,2,19,12,4,10,18,1,10,9,9,2,10,70,4,14,10,31,18,1,4,4,19,4,4,10,18,1,9,1,10,4,8,3,10,30,9,1,18,1,10,1,4,2,19,5,4,5,10,5,9,1,8,2,10,11,8,20,10,6,9,2,10,6,9,1,8,18,10,18,9,1,10,3,4,372,10,5,8,16,10,1,8,33,10,7,8,9,9,1,10,16,8,1,18,1,8,2,9,1,10,2,9,1,8,6,10,4,8,4,10,2,8,5,10,4,8,10,10,5,8,7,15,2,8,27,10,3,8,3,10,1,8,6,10,8,8,2,10,7,8,2,10,4,8,2,10,12,8,6,10,3,8,3,10,5,8,4,10,5,8,12,10,3,8,3,10,4,8,6,10,4,8,4,15,5,18,1,8,5,15,4,8,3,15,3,8,7,15,2,8,12,15,3,8,10,9,1,8,11,18,1,8,4,10,6,8,1,18,3,8,2,18,2,10,3,18,1,4,3,19,11,4,664,},
{4,688,19,6,4,3,9,5,4,1,10,4,8,2,10,3,8,6,10,2,4,13,18,3,9,1,8,1,10,6,18,1,10,1,8,1,10,1,18,1,3,2,18,7,3,2,16,2,3,1,10,3,4,3,18,1,3,2,4,3,3,5,16,8,3,1,18,1,10,2,8,2,10,1,18,1,3,2,16,2,3,1,18,1,3,4,18,1,10,5,8,2,10,5,8,1,10,15,8,1,18,2,10,9,8,1,10,22,8,1,18,1,8,1,10,6,18,1,10,2,18,1,8,1,10,12,18,1,10,16,18,1,3,3,18,1,8,1,10,2,8,1,18,1,8,1,10,2,18,2,8,1,10,34,8,11,10,121,8,1,10,162,4,2,19,12,4,10,18,1,10,9,9,2,10,2,9,2,10,66,4,14,10,31,18,3,4,16,18,1,9,1,10,4,8,3,10,33,4,2,19,6,4,4,10,6,8,2,10,7,8,24,10,8,9,2,10,4,9,1,8,9,9,1,8,8,10,18,8,1,10,3,4,372,18,1,10,5,8,47,10,10,8,7,9,1,10,18,8,4,10,4,8,4,10,4,8,12,10,4,8,10,10,4,8,8,15,2,8,26,10,4,8,9,10,10,8,1,10,7,8,2,10,4,8,2,10,12,8,6,10,19,8,13,10,3,8,3,10,4,8,14,15,1,14,2,15,2,8,5,15,5,8,3,15,3,8,21,15,4,8,4,15,2,8,3,10,4,8,13,10,7,8,4,18,1,14,1,18,1,10,2,8,1,18,2,4,3,19,10,4,664,},
{4,688,19,6,4,2,18,1,8,5,10,2,8,6,10,2,8,6,10,2,4,12,9,1,8,6,10,2,18,1,10,1,18,3,10,2,18,1,3,4,18,3,3,6,18,1,10,3,4,2,3,2,16,1,3,1,4,3,3,1,16,12,3,1,18,1,10,2,8,2,10,1,8,1,18,1,3,1,16,1,3,1,18,1,8,1,18,1,3,3,18,1,8,1,10,5,8,2,10,55,8,1,18,1,8,1,10,5,18,1,10,2,8,1,18,1,8,1,10,11,18,3,10,15,8,1,3,4,18,1,8,1,10,1,8,1,18,2,8,2,18,3,8,1,10,32,8,13,10,114,8,1,10,168,4,2,19,12,4,10,10,13,9,1,18,1,8,1,10,66,4,14,10,30,9,1,18,1,10,2,4,16,18,1,9,1,10,40,4,2,19,6,4,4,18,1,8,1,10,5,8,1,10,7,8,8,10,2,8,16,10,6,8,3,9,1,10,2,9,2,8,8,9,2,10,1,8,7,10,10,9,1,10,10,4,372,8,1,10,4,8,47,10,11,8,7,9,1,10,18,9,1,8,1,18,1,8,2,10,3,8,1,18,1,15,1,8,1,10,2,8,14,10,4,8,10,10,4,8,35,10,5,8,10,10,9,8,2,10,13,8,1,10,2,8,2,10,3,8,7,10,1,8,3,10,18,8,14,10,2,8,22,15,2,14,1,15,2,8,4,15,6,8,3,15,3,8,21,15,10,8,3,10,4,8,3,18,4,15,1,18,1,8,2,10,3,8,1,9,1,10,6,8,3,18,2,10,2,18,2,8,1,10,1,4,2,19,10,4,664,},
{4,688,19,6,4,2,18,1,8,5,10,2,8,5,10,3,8,6,10,2,4,12,9,1,8,6,10,2,18,1,10,1,8,1,18,2,10,2,3,5,18,2,3,6,18,1,10,3,3,7,4,3,3,1,16,12,3,1,10,3,8,2,10,2,18,1,3,3,10,3,8,2,18,2,8,1,10,5,8,1,18,1,10,12,18,1,10,13,18,2,8,2,10,20,8,1,10,4,8,1,18,2,8,1,10,7,18,2,8,1,10,11,18,3,10,15,18,1,3,5,18,1,8,2,18,2,8,3,18,1,8,2,10,6,8,1,10,4,8,1,10,20,8,13,10,114,8,1,10,69,8,1,10,98,4,2,19,12,4,9,18,1,10,13,8,3,10,66,4,14,10,30,9,2,10,2,4,16,18,1,10,41,4,3,19,5,4,4,18,2,10,13,8,7,10,2,8,18,10,5,8,1,18,2,8,1,9,3,10,2,8,6,9,1,10,4,8,7,10,10,9,1,10,4,8,1,10,4,4,3,19,4,4,365,10,5,8,47,10,11,8,9,10,7,9,1,10,10,9,1,8,3,9,1,10,2,8,4,10,1,8,16,10,3,8,11,10,3,8,34,10,8,8,12,10,5,8,3,10,12,8,5,10,3,8,7,10,1,8,3,10,17,8,40,15,3,8,5,15,6,8,27,15,9,8,4,10,4,8,4,15,2,14,2,15,1,18,1,10,4,8,4,10,5,8,2,18,1,8,1,10,2,8,2,10,2,4,2,19,10,4,664,},
{4,688,19,6,4,2,9,1,8,6,10,1,8,4,10,5,8,4,10,2,4,12,18,1,9,1,8,6,10,2,18,1,10,2,18,2,10,2,18,1,3,4,18,2,3,4,18,1,10,5,3,1,16,2,3,2,16,1,3,1,18,1,4,2,3,1,16,6,3,3,16,3,3,1,10,5,8,1,10,1,18,2,3,1,18,1,8,1,18,1,10,4,8,1,18,1,8,1,10,4,8,2,10,1,18,1,10,10,18,1,10,12,18,5,10,19,18,2,8,1,10,2,8,2,18,2,8,1,10,2,8,1,10,3,8,1,18,3,10,11,18,2,10,16,18,1,3,5,18,1,8,1,10,1,8,1,10,4,8,2,10,6,8,2,10,3,8,2,10,20,8,13,10,114,8,1,10,68,8,2,10,98,4,2,19,11,4,9,18,1,10,15,8,1,10,67,4,13,10,9,8,1,10,15,8,2,10,4,9,2,10,2,4,16,10,32,8,2,10,8,4,5,19,2,4,5,18,2,10,13,8,6,9,1,10,2,8,16,18,1,8,1,9,1,10,4,18,3,8,3,9,1,10,3,8,5,9,1,10,5,9,1,8,5,10,15,8,1,10,4,4,2,19,6,4,364,10,2,8,50,10,5,8,3,10,3,8,10,9,1,10,4,9,5,8,3,10,5,8,5,9,1,10,1,8,2,10,2,8,17,10,2,8,11,10,2,8,35,10,9,8,5,10,1,8,7,10,2,8,5,10,5,8,1,10,5,8,4,10,3,8,8,10,2,8,2,10,4,8,2,10,13,8,16,10,1,8,29,15,6,8,27,15,9,8,12,15,1,14,4,18,1,10,4,8,2,18,3,8,1,10,4,8,2,10,7,4,3,19,8,4,665,},
{4,688,19,6,4,2,9,1,8,8,10,8,8,3,10,2,4,13,9,1,8,6,10,10,18,11,10,6,18,2,3,1,16,4,3,4,16,4,3,1,18,1,3,2,18,1,3,1,16,1,3,1,10,1,18,1,10,1,18,1,10,2,8,1,10,1,18,2,8,1,10,7,8,2,18,1,10,12,8,2,10,1,8,1,10,12,8,1,10,2,8,1,18,1,3,1,18,2,10,9,8,2,10,8,18,2,8,1,10,3,8,2,18,1,8,2,10,1,8,1,10,3,8,1,18,2,8,1,10,11,18,1,10,13,8,1,10,2,8,1,18,3,14,1,3,3,18,1,10,5,8,2,10,7,8,2,10,2,8,3,10,20,8,13,10,182,8,3,10,90,4,10,19,6,4,6,10,103,18,1,10,10,8,1,10,15,8,2,10,4,9,1,10,5,18,1,4,12,10,3,9,1,10,28,8,1,18,2,9,1,10,1,4,18,18,1,8,1,10,12,8,7,10,4,8,12,10,2,8,4,10,3,9,1,8,1,18,2,8,3,9,1,10,3,8,5,9,1,10,6,9,1,8,4,10,15,8,1,10,2,4,4,19,6,4,359,19,4,4,1,10,2,8,50,10,5,8,18,9,1,10,1,9,1,8,6,18,2,8,1,10,4,9,1,8,6,10,4,8,17,10,1,8,49,10,9,8,4,10,2,8,14,10,4,8,3,10,5,8,2,10,4,8,8,10,2,8,2,10,3,8,7,10,1,8,1,10,10,8,13,10,2,8,28,15,6,8,19,15,1,8,6,15,7,8,2,15,1,18,1,8,5,18,1,8,5,15,1,14,4,15,1,8,1,10,3,8,2,18,3,8,1,10,14,4,675,},
{4,688,19,6,4,2,9,1,8,8,10,7,8,2,10,4,4,12,10,1,8,2,10,2,8,3,10,4,8,5,10,1,8,1,18,1,10,2,18,2,10,2,18,1,10,5,18,5,3,1,16,6,3,1,16,4,3,2,18,2,3,1,18,2,3,1,18,1,10,3,18,1,8,1,10,1,8,2,10,4,18,4,10,3,8,1,18,1,8,1,10,9,8,2,18,1,8,1,18,1,8,2,10,9,8,1,18,1,3,1,18,6,10,7,8,3,18,1,8,1,10,7,8,1,18,2,8,1,10,3,8,6,10,4,8,1,18,2,8,1,10,10,18,2,10,12,8,1,18,1,8,1,10,2,8,2,18,2,14,1,3,1,14,1,18,1,8,1,10,4,8,1,10,12,8,3,10,21,8,11,10,183,8,2,10,89,4,12,19,6,4,6,10,103,9,1,10,10,8,1,10,15,8,3,10,9,9,1,18,1,4,10,10,5,8,2,10,25,8,2,18,1,8,1,10,2,4,18,10,14,8,7,10,4,8,12,10,3,8,4,9,3,8,7,10,2,8,6,10,9,8,3,10,18,4,5,19,5,4,358,19,5,4,1,10,2,8,35,10,5,8,10,10,4,8,9,10,3,8,7,9,4,8,4,18,4,8,1,9,1,10,3,8,2,18,1,15,1,18,1,8,1,10,4,8,41,10,2,8,24,10,3,8,2,10,4,8,4,10,2,8,3,10,1,8,4,10,2,8,5,10,2,8,5,10,4,8,2,10,4,8,8,10,3,8,1,10,3,8,9,10,10,8,13,10,3,8,18,10,3,8,6,15,6,8,18,15,2,8,6,15,4,8,11,18,3,8,5,15,1,14,3,18,1,8,1,10,2,8,4,18,2,8,1,10,15,4,674,},
{4,688,19,6,4,2,9,1,8,8,10,6,8,3,10,4,4,12,10,1,8,1,10,3,8,3,10,4,8,5,10,15,18,1,3,5,16,1,3,4,16,1,3,1,16,4,3,6,18,1,10,4,8,1,18,1,10,3,8,1,10,3,18,1,3,4,8,1,10,2,8,1,18,2,10,4,18,2,10,2,8,1,18,6,8,3,10,7,18,1,3,4,18,3,8,1,10,6,8,1,18,4,8,1,10,7,8,1,18,2,8,1,10,3,8,3,10,1,8,1,10,5,8,1,18,2,8,1,10,10,18,3,10,11,8,1,18,1,8,1,10,3,8,1,18,1,3,1,14,1,18,1,8,3,18,4,8,1,10,13,8,1,10,3,8,3,10,10,8,3,10,4,8,8,10,185,8,2,10,1,8,1,10,24,8,1,10,62,4,12,19,6,4,6,10,129,8,4,10,11,4,10,10,5,8,2,10,26,9,3,10,2,4,16,10,7,8,1,10,3,8,1,10,5,8,2,18,1,8,3,10,4,8,10,10,1,8,1,10,4,8,6,10,1,8,6,10,2,9,1,8,5,9,1,10,8,8,3,10,18,4,4,19,6,4,358,19,5,4,1,10,1,8,51,10,5,8,8,10,3,8,7,10,4,9,1,8,6,18,2,8,2,10,3,8,2,18,1,15,1,8,3,10,2,8,40,10,3,8,25,10,2,8,3,10,3,8,3,10,4,8,1,10,4,8,1,10,3,8,13,10,3,8,1,10,5,8,3,10,3,8,1,10,8,8,6,10,13,8,12,10,4,8,8,18,1,8,10,10,3,8,5,15,7,8,8,15,2,8,7,15,3,8,30,18,3,8,3,18,2,9,1,10,1,8,2,10,16,4,10,19,2,4,662,},
{4,688,19,6,4,2,9,1,8,7,10,6,8,4,10,4,4,12,10,5,8,4,10,1,8,7,10,13,18,2,3,4,16,2,3,2,18,1,3,2,16,5,3,4,16,2,3,1,18,1,10,2,18,5,10,3,8,2,10,1,18,1,16,3,3,1,18,1,10,3,18,2,10,5,18,1,10,2,8,1,18,1,8,2,18,3,8,1,18,2,8,1,10,4,18,2,3,5,18,1,8,1,10,8,8,1,18,3,8,1,10,8,8,1,18,2,8,1,10,2,8,1,18,1,8,1,10,8,8,1,18,2,8,1,10,1,18,1,10,9,18,3,10,10,8,2,10,3,8,1,18,2,14,2,18,5,3,2,14,1,8,1,10,17,8,3,10,10,8,5,10,3,8,6,10,102,8,1,10,5,8,1,10,78,8,1,10,5,8,1,10,20,8,1,10,62,4,12,19,6,4,6,10,128,8,6,10,10,4,10,10,5,8,3,10,25,9,2,10,2,4,16,10,7,8,7,10,4,8,5,9,1,10,5,8,11,10,5,8,5,10,2,8,5,9,1,10,1,8,7,10,8,8,3,10,18,4,5,19,4,4,359,19,5,4,1,10,1,8,19,10,3,8,29,10,5,8,9,10,3,8,5,10,6,9,1,8,6,18,2,8,2,10,2,8,3,18,1,15,1,8,2,10,2,8,40,10,3,8,31,10,2,8,4,10,2,8,2,10,4,8,1,10,4,8,12,10,9,8,2,10,15,8,4,10,7,8,2,10,4,8,12,10,4,8,30,15,5,8,7,15,3,8,5,15,3,8,25,18,1,8,11,18,1,8,1,10,7,8,2,10,11,4,6,19,6,4,662,},
{4,688,19,6,4,2,9,1,8,7,10,6,8,4,10,4,4,12,10,5,8,12,10,5,18,2,10,5,18,1,3,5,18,1,3,4,18,2,3,1,16,5,3,1,18,1,3,1,16,2,3,7,18,4,10,2,8,1,10,1,8,1,3,1,16,3,3,1,18,1,10,3,8,2,10,9,8,1,10,2,8,1,18,1,8,2,18,1,8,2,10,1,18,1,10,1,8,1,18,4,3,3,18,1,10,10,8,1,18,2,10,8,8,4,10,2,8,1,18,3,10,8,8,1,18,2,8,1,10,11,18,3,10,5,18,2,10,7,18,1,3,1,18,4,14,1,3,3,14,1,18,4,8,1,10,16,8,4,10,11,8,3,10,4,8,5,10,101,8,2,10,4,8,2,10,78,8,1,10,88,4,13,19,6,4,8,10,117,8,2,10,3,8,1,10,4,8,1,10,2,8,2,10,10,18,2,10,5,18,2,10,6,8,3,10,25,9,2,10,1,4,13,18,3,10,7,8,2,18,1,8,5,10,4,8,5,10,6,8,13,10,4,8,4,10,1,8,2,18,2,8,3,9,1,8,7,10,8,8,3,10,18,4,367,19,5,4,2,18,1,8,19,10,3,8,30,10,8,8,6,10,5,8,1,10,7,9,1,8,10,9,1,8,8,10,2,8,73,10,3,8,4,10,2,8,2,10,4,8,1,10,4,8,12,10,9,8,2,10,5,8,1,10,9,8,4,10,7,8,3,10,3,8,13,10,3,8,32,15,4,8,6,15,3,8,5,15,3,8,24,18,1,15,1,18,1,8,11,9,1,10,5,9,1,8,1,18,2,8,1,10,11,4,5,19,6,4,662,},
{4,688,19,6,4,2,9,1,8,6,10,7,8,5,10,3,4,12,10,5,8,7,10,2,18,1,8,2,10,5,18,2,10,4,18,1,3,5,18,2,3,6,16,6,3,3,16,3,3,2,16,2,3,3,18,3,10,1,8,2,10,1,8,1,3,1,16,3,3,1,18,1,10,4,8,1,10,12,8,2,10,2,8,2,10,2,18,1,10,2,18,3,8,1,18,2,3,1,18,1,10,3,8,1,18,1,8,1,10,5,18,1,8,1,10,7,8,4,10,3,8,1,18,2,8,1,10,8,8,1,18,2,8,1,10,11,18,3,10,3,18,6,10,5,3,2,18,1,8,2,18,1,14,1,3,3,14,1,18,4,8,1,10,16,8,6,10,10,8,3,10,3,8,5,10,4,8,3,10,95,8,1,10,4,8,1,10,96,8,2,10,70,4,14,19,5,4,8,10,33,8,1,10,83,8,2,10,2,8,3,10,6,8,2,10,17,9,3,10,4,8,5,10,23,9,3,10,1,4,12,10,2,9,3,10,6,8,7,10,6,8,3,10,7,8,14,10,3,8,7,18,2,8,11,9,1,10,5,9,2,8,1,9,1,10,19,4,367,19,5,4,2,18,1,8,1,10,2,8,16,10,3,8,9,10,2,8,20,10,7,8,8,10,4,8,3,10,5,9,1,8,7,9,1,8,10,10,2,8,20,15,1,8,52,10,3,8,4,10,2,8,2,10,4,8,1,10,5,8,7,10,13,8,2,10,4,8,2,10,5,8,1,10,3,8,4,10,6,8,4,10,3,8,5,10,5,8,9,10,2,8,19,10,1,8,8,15,3,8,6,15,3,8,5,18,2,8,14,15,2,8,6,18,1,15,4,18,1,8,5,10,9,9,1,8,3,18,3,8,1,10,12,4,4,19,6,4,662,},
{4,688,19,6,4,2,9,1,8,6,10,7,8,6,10,2,4,12,10,4,8,13,10,8,18,2,3,6,18,1,10,1,18,1,3,1,16,11,3,2,16,4,3,2,16,2,3,3,18,3,10,1,8,2,10,2,3,1,16,3,3,1,18,1,10,4,8,1,10,4,8,1,10,7,8,1,18,1,8,4,10,9,8,1,3,3,18,1,8,2,18,2,8,1,10,13,8,1,18,1,8,3,10,3,8,1,18,1,8,2,10,9,18,2,8,1,10,15,18,3,10,2,18,3,10,5,18,2,8,1,10,2,8,1,18,1,3,4,18,3,8,1,10,17,8,7,10,9,8,3,10,3,8,5,10,4,8,5,10,190,8,1,10,4,8,1,10,25,8,1,10,44,4,28,10,117,8,6,10,27,9,5,10,1,8,6,10,22,9,3,10,1,4,12,10,11,8,6,10,7,8,2,9,1,10,7,8,14,10,3,8,12,9,1,8,7,9,1,10,5,9,1,8,1,9,1,10,20,4,366,19,5,4,3,18,1,8,1,10,2,8,17,10,1,8,10,10,3,8,19,10,7,9,1,8,7,10,3,8,6,10,3,8,3,18,2,8,2,10,3,8,9,10,2,8,64,10,2,8,6,10,5,8,3,10,2,8,3,10,3,8,2,10,4,8,6,10,4,8,1,10,4,8,1,10,4,8,1,10,5,8,2,10,4,8,9,10,6,8,4,10,4,8,4,10,6,8,6,10,3,8,20,10,1,8,8,15,3,8,6,15,2,8,5,18,2,8,23,15,1,14,2,15,2,18,2,8,5,10,8,8,3,18,4,8,1,10,12,4,4,19,6,4,662,},
{4,688,19,6,4,2,9,1,8,6,10,5,8,9,10,1,4,12,10,1,8,1,10,2,8,11,10,9,18,3,3,4,18,5,3,2,16,16,3,2,16,3,3,2,18,2,10,1,8,3,10,2,18,1,16,2,3,2,18,1,10,4,8,1,10,4,18,1,8,1,10,6,8,1,18,1,8,2,10,11,18,1,3,3,18,2,10,17,8,2,10,2,8,1,10,3,8,1,18,1,8,1,10,10,8,1,18,2,10,14,18,3,10,5,18,2,10,4,18,2,8,1,10,3,18,1,3,4,18,2,8,1,10,18,8,9,10,7,8,3,10,3,8,5,10,4,8,5,10,175,8,2,10,13,8,2,10,28,8,3,10,15,8,2,10,25,18,1,4,29,10,116,8,6,10,28,9,3,8,8,10,21,9,1,10,4,4,12,10,13,8,2,10,9,8,5,10,6,8,17,10,1,8,10,9,1,8,15,9,1,10,5,8,1,10,14,4,366,19,4,4,4,18,1,10,3,8,20,10,5,8,5,10,2,8,17,9,1,10,5,8,1,10,1,8,8,10,3,8,6,10,4,8,6,10,2,8,10,10,2,8,63,10,4,8,5,10,6,8,2,10,2,8,3,10,2,8,3,10,7,8,3,10,4,8,1,10,4,8,2,10,9,8,2,10,3,8,4,10,1,8,5,10,5,8,4,10,6,8,2,10,7,8,7,10,1,8,8,10,1,8,21,15,4,8,6,15,1,8,5,18,2,8,23,15,1,14,1,15,7,18,2,8,1,10,7,9,2,8,1,10,1,9,1,8,3,10,13,4,7,19,3,4,662,},
{4,688,19,6,4,2,9,1,8,6,10,4,8,10,10,1,4,2,19,4,4,6,9,1,8,1,10,1,8,7,10,1,8,4,10,5,8,1,10,3,18,4,3,2,18,3,3,1,18,1,3,6,16,9,3,1,16,7,3,2,18,2,10,3,8,2,10,2,18,1,3,3,18,1,10,5,8,1,10,4,8,1,18,1,10,2,18,2,10,3,18,2,8,1,10,7,18,2,10,1,18,1,3,1,16,2,3,1,18,1,10,22,18,2,10,2,18,2,10,2,8,2,10,7,18,2,8,1,10,10,18,2,10,1,18,4,10,2,8,1,10,3,18,4,10,1,18,2,8,1,10,3,18,1,3,4,18,2,8,1,10,19,8,8,10,7,8,2,10,4,8,4,10,6,8,2,10,59,8,2,10,4,8,2,10,108,8,5,10,12,8,2,10,25,8,6,10,15,8,3,10,17,4,34,19,2,4,19,10,100,8,4,10,22,9,2,10,4,9,2,8,9,10,26,4,12,10,4,8,1,10,18,8,6,10,8,8,8,10,3,8,3,10,3,8,9,9,1,8,15,10,6,8,1,10,4,9,1,10,9,4,365,19,4,4,5,10,4,8,20,10,5,8,5,10,9,8,10,10,5,8,11,10,3,8,6,10,4,8,19,10,1,8,56,15,1,8,6,10,4,8,9,10,2,8,1,10,4,8,1,10,3,8,3,10,7,8,3,10,3,8,3,10,3,8,2,10,13,8,4,10,4,8,2,10,6,8,4,10,6,8,1,10,8,8,16,10,1,8,4,10,6,8,7,10,1,8,3,15,4,8,5,15,2,8,4,18,1,15,2,18,1,8,23,18,2,15,7,18,1,8,2,10,23,18,2,10,7,4,667,},
{4,688,19,6,4,2,9,1,8,7,10,3,8,10,9,1,4,1,19,5,4,6,9,1,8,9,10,2,8,3,10,2,18,1,10,2,8,1,10,3,18,2,10,2,18,2,10,2,18,1,3,9,16,8,3,2,16,7,3,2,10,2,8,1,10,5,18,1,3,3,18,1,10,14,18,1,9,1,10,3,8,3,10,3,8,2,10,2,18,1,10,2,3,2,16,2,3,1,18,2,10,2,18,1,10,9,8,1,10,8,18,1,14,1,8,1,10,1,18,2,10,2,8,2,10,7,8,1,18,2,10,13,18,3,10,3,18,2,10,2,18,4,10,2,8,2,10,2,8,1,3,2,16,1,3,2,18,2,8,1,10,6,8,2,10,10,8,10,10,6,8,2,10,5,8,4,10,66,8,2,10,44,8,2,10,68,8,5,10,41,8,4,10,14,8,4,10,13,4,38,19,7,4,15,10,99,8,3,10,22,9,1,18,1,8,1,9,1,10,3,9,1,8,11,10,25,4,12,10,4,8,1,10,8,8,2,10,7,8,8,10,6,8,9,10,3,8,3,10,3,8,3,10,4,8,2,10,2,9,1,8,3,9,2,8,8,10,5,8,3,10,3,9,1,10,3,8,1,10,5,4,363,19,6,4,5,10,4,8,20,10,4,8,7,10,8,8,10,10,4,8,13,10,2,8,6,10,7,8,16,10,1,8,24,10,1,8,38,10,3,8,11,10,6,8,1,10,3,8,3,10,7,8,3,10,3,8,3,10,3,8,3,10,13,8,4,10,3,8,3,10,26,8,4,10,2,8,8,10,1,8,5,10,6,8,10,15,5,8,4,15,1,8,5,18,2,8,28,18,3,15,1,18,2,8,3,10,5,9,1,10,18,18,1,10,8,4,666,},
{4,688,19,6,4,2,9,1,8,7,10,3,8,10,9,1,4,1,19,5,4,6,10,2,8,8,10,2,8,3,10,1,8,2,10,2,8,1,10,2,18,2,10,3,18,2,10,2,18,1,3,4,18,3,3,2,16,2,3,1,18,1,3,1,16,13,3,1,18,1,10,1,8,1,10,6,18,1,3,1,18,2,10,15,18,2,10,3,8,1,10,3,8,1,18,1,8,1,10,1,18,2,10,1,18,2,3,6,18,1,10,4,18,2,8,1,10,12,8,1,14,1,3,1,18,1,8,1,18,2,10,2,8,2,10,8,18,2,8,1,10,12,18,1,10,1,18,1,10,4,18,2,10,1,18,2,10,3,18,1,10,2,8,1,10,1,18,1,16,3,3,2,18,3,10,18,8,19,10,5,8,6,10,110,8,4,10,6,8,1,10,59,8,2,10,46,8,1,10,14,8,1,10,16,4,38,19,8,4,14,10,123,8,1,18,1,8,1,10,6,8,2,10,3,8,3,10,2,8,2,10,24,4,11,18,1,10,12,8,3,10,6,8,9,10,5,8,11,10,7,8,3,10,6,9,1,8,1,10,2,8,3,10,3,8,2,10,2,8,2,10,5,8,4,10,13,4,362,19,6,4,3,18,2,10,2,8,52,10,1,8,2,9,2,10,4,8,4,9,1,8,4,10,2,8,6,10,4,8,31,10,1,8,10,10,4,8,35,10,3,8,13,10,15,8,5,10,6,8,8,10,14,8,4,10,1,8,6,10,16,8,4,10,5,8,1,18,1,8,1,10,3,8,2,10,2,8,2,10,2,8,5,10,6,8,6,15,2,8,4,15,4,8,3,18,2,8,3,18,2,8,5,15,2,8,2,15,1,8,14,15,3,18,1,8,12,18,3,8,2,10,26,4,666,},
{4,688,19,6,4,2,9,1,8,8,10,3,8,6,10,3,18,1,4,1,19,5,4,6,10,2,8,3,10,1,8,4,10,3,8,1,10,14,18,5,3,11,4,2,3,5,16,1,3,1,16,3,3,2,16,2,3,1,8,1,10,1,8,1,10,4,8,1,10,1,18,2,3,1,18,1,8,1,10,22,8,1,18,3,10,2,18,1,10,1,8,1,18,2,3,2,16,2,3,1,18,1,10,3,8,1,18,2,8,1,10,8,8,3,10,1,8,1,18,2,8,1,10,1,8,2,10,1,8,3,10,8,18,2,8,1,10,12,18,2,10,5,18,2,10,6,18,1,10,1,8,1,18,1,10,1,18,1,16,3,3,1,18,1,8,1,18,1,8,1,10,17,8,20,10,5,8,7,10,109,8,7,10,50,8,2,10,91,4,39,19,9,4,13,10,88,8,2,10,16,8,1,10,5,8,1,10,9,8,1,18,1,8,1,10,3,8,1,10,2,8,2,10,3,8,2,10,3,8,2,10,24,4,11,18,1,8,2,10,4,8,2,10,4,8,3,10,6,8,4,10,3,8,3,10,4,8,13,10,4,8,4,10,6,9,2,10,2,8,2,9,1,10,3,8,2,10,2,8,2,10,4,8,5,10,13,4,362,19,6,4,3,18,1,9,1,10,2,8,4,10,1,8,38,10,1,8,12,9,1,10,5,8,3,10,2,8,3,10,2,8,6,10,4,8,16,10,1,8,14,10,1,8,11,10,3,8,35,10,2,8,14,10,12,8,7,10,8,8,8,10,14,8,11,10,7,8,3,10,4,8,5,10,5,8,1,18,1,8,1,10,3,8,2,10,3,8,1,10,2,8,5,10,6,8,5,15,3,8,5,15,4,8,2,18,1,8,3,18,3,8,5,15,2,8,15,18,1,15,4,18,1,8,7,10,1,8,3,18,4,8,1,9,1,10,13,8,2,10,11,4,666,},
{4,688,19,6,4,2,9,1,8,8,10,4,8,5,10,2,4,3,19,9,4,2,10,1,8,4,10,4,8,1,10,7,8,2,10,8,18,6,3,2,16,6,3,2,4,3,3,2,18,1,4,1,3,1,16,1,3,1,16,3,3,1,18,1,3,2,18,1,10,6,8,1,18,1,9,1,18,1,3,3,18,1,10,22,18,1,3,3,18,1,10,1,18,1,10,3,18,2,3,1,16,2,3,1,10,4,8,3,10,8,8,1,18,1,8,3,10,7,8,4,10,8,18,2,8,1,10,29,18,2,10,1,8,1,3,1,16,1,3,2,18,1,10,1,8,1,10,17,8,10,10,7,8,5,10,3,8,8,10,20,8,2,10,88,8,3,18,3,8,1,10,5,8,2,10,96,8,3,10,3,8,4,10,29,4,39,19,9,4,14,10,111,8,1,10,9,8,1,18,1,8,1,10,2,8,2,10,2,8,2,10,3,8,3,10,2,8,1,10,20,9,1,10,5,4,10,18,1,8,1,10,11,8,2,10,7,8,4,10,2,8,4,10,5,8,12,10,5,8,2,10,7,9,2,10,2,8,2,10,4,8,2,10,2,8,3,10,3,8,5,10,13,4,362,19,7,4,2,18,1,9,1,10,2,8,4,10,1,8,31,10,3,8,3,10,4,8,11,10,5,9,3,10,2,8,3,10,3,8,4,10,5,8,43,10,3,8,35,10,3,8,13,10,12,8,2,10,1,8,4,10,8,8,8,10,14,8,12,10,5,8,13,10,5,8,3,10,3,8,2,10,3,8,1,10,2,8,5,10,5,8,7,15,2,8,5,15,5,8,6,18,1,8,6,18,2,8,16,18,3,8,4,18,3,8,9,9,1,10,7,8,3,10,18,4,1,19,1,4,1,19,8,4,655,},
{4,688,19,6,4,2,9,1,8,6,10,7,8,4,10,2,4,2,19,10,4,2,8,5,10,4,8,2,10,2,8,2,10,1,8,1,18,2,10,7,18,7,3,2,16,6,3,1,18,1,4,3,3,2,4,2,3,1,16,1,3,1,16,3,18,1,10,1,18,2,10,7,9,1,18,1,9,1,18,1,3,3,18,1,10,3,18,2,10,3,18,1,10,6,8,1,10,2,18,2,10,2,18,1,3,3,18,1,10,2,18,1,10,3,8,1,3,1,16,1,3,1,18,1,10,3,8,2,10,10,18,3,8,1,10,9,8,2,10,9,18,2,10,28,8,1,18,3,10,2,8,1,14,1,3,2,8,1,10,19,8,3,10,15,8,15,10,19,8,4,10,89,8,1,18,1,14,1,18,2,8,1,10,3,8,1,18,2,8,2,10,1,8,1,10,91,8,4,10,3,8,4,10,28,4,40,19,9,4,5,19,4,4,5,10,111,8,1,10,9,8,3,10,7,8,1,10,2,8,3,10,31,4,10,10,11,8,3,10,11,8,6,10,8,8,10,10,12,8,1,10,4,8,2,10,4,9,1,8,1,10,2,8,4,10,3,8,4,10,13,4,361,19,8,4,3,18,1,8,2,10,5,8,30,10,11,8,11,10,5,9,1,10,4,8,2,10,4,8,4,10,5,8,43,10,4,8,29,10,2,8,2,10,4,8,14,10,10,8,7,10,8,8,9,10,18,8,10,10,4,8,13,10,5,8,3,10,7,8,1,10,3,8,4,10,5,8,7,15,1,8,6,15,6,8,29,18,1,15,2,18,1,8,2,18,2,15,3,18,1,8,3,10,12,8,5,10,17,4,1,19,11,4,654,},
{4,688,19,6,4,2,9,1,8,4,10,3,8,2,10,3,8,6,9,1,4,2,19,10,4,2,8,5,10,4,8,3,10,1,18,2,10,1,8,3,10,7,18,2,10,3,18,2,3,2,16,6,3,1,18,1,4,3,18,1,4,3,3,1,16,1,3,2,16,1,3,1,18,1,10,1,18,2,10,7,9,1,18,1,8,1,18,1,3,2,18,1,10,4,18,2,10,2,18,2,9,1,10,2,8,1,10,2,8,1,10,2,18,2,10,3,18,3,10,3,18,2,10,4,3,2,10,1,18,1,10,14,18,2,8,1,10,13,8,1,10,7,18,2,10,28,18,1,3,2,18,1,10,3,18,1,3,2,18,1,10,19,8,10,10,7,8,18,10,80,8,1,10,29,8,1,18,3,8,2,10,2,8,2,18,3,8,5,10,89,8,3,10,4,8,4,10,24,8,2,10,1,4,40,19,9,4,5,19,7,4,3,10,111,8,1,10,10,8,1,10,8,8,1,10,3,8,2,10,31,4,10,10,11,8,2,10,12,8,3,10,2,8,2,10,8,8,9,10,6,8,3,10,1,8,3,10,4,8,2,10,4,9,1,8,1,10,1,9,1,8,4,10,4,8,2,10,14,4,360,19,8,4,3,18,2,8,2,10,3,8,33,10,7,8,1,10,1,8,12,9,1,10,4,9,1,10,4,8,2,10,5,8,2,10,6,8,44,10,3,8,30,10,1,8,2,10,4,8,17,10,4,8,10,10,9,8,6,10,20,8,11,10,3,8,9,10,9,8,4,10,17,8,15,15,7,8,4,18,3,8,5,18,1,8,15,18,1,15,4,18,6,8,4,10,12,8,4,10,19,4,1,19,11,4,654,},
{4,688,19,6,4,2,10,1,8,4,10,3,8,1,10,4,8,7,4,2,19,10,4,2,9,1,8,4,10,4,8,3,10,1,18,2,8,1,10,1,8,1,10,8,18,2,10,3,18,1,3,4,16,5,3,2,18,1,4,6,3,1,16,4,3,1,10,10,8,3,10,1,8,1,18,2,10,5,18,2,10,2,18,3,10,1,8,1,18,1,10,11,8,1,10,8,9,1,10,4,18,1,10,8,8,2,10,4,18,2,8,1,10,3,8,2,10,8,8,2,10,6,18,2,10,12,18,2,10,14,18,2,14,1,18,1,8,1,10,3,3,2,18,1,10,20,8,34,10,32,8,1,10,47,8,1,10,30,8,9,18,3,8,2,18,1,8,4,10,23,8,2,10,2,8,1,10,94,8,2,10,1,4,5,19,3,4,33,19,2,4,1,19,5,4,5,19,7,4,3,10,99,8,2,10,9,8,1,10,20,8,1,10,36,4,10,10,11,8,2,10,5,8,1,10,5,8,3,10,4,8,1,9,1,10,1,8,1,10,5,8,9,10,5,8,8,10,5,9,1,10,4,8,2,10,1,9,1,8,4,10,20,4,360,19,7,4,4,18,2,8,2,10,3,8,33,10,7,8,5,10,3,8,5,9,1,10,5,9,3,10,1,8,3,10,13,8,22,10,4,8,55,10,2,8,31,10,6,8,4,10,2,8,3,10,26,8,6,10,5,8,6,10,5,8,2,10,3,8,5,10,15,8,15,15,3,8,4,15,2,18,1,8,2,18,3,8,5,18,1,8,15,15,6,18,1,8,6,10,12,8,2,10,23,4,1,19,11,4,654,},
{4,688,19,6,4,2,9,1,8,7,10,5,8,6,9,1,4,2,19,10,4,2,9,1,8,11,10,1,18,3,10,9,18,3,10,2,18,1,3,5,16,4,3,3,4,7,3,1,16,4,3,1,9,1,10,2,9,1,10,6,8,2,10,6,18,3,10,6,18,1,10,2,8,1,18,1,10,20,18,2,10,5,8,1,10,2,8,2,10,1,8,1,18,2,10,4,8,1,18,1,10,4,18,3,10,7,8,2,10,6,18,2,10,12,18,2,10,10,8,1,10,4,8,1,18,2,8,1,10,3,18,1,3,1,18,1,8,1,10,19,8,37,10,28,8,3,10,78,8,6,18,10,8,3,10,124,4,3,19,10,4,40,19,9,4,2,10,98,8,4,10,8,8,1,10,19,8,2,10,39,4,7,10,23,8,5,10,4,8,3,10,9,8,6,10,4,8,7,10,12,9,1,10,1,8,5,10,20,4,360,19,6,4,2,18,2,9,1,8,4,10,2,8,37,10,5,8,5,10,2,8,4,9,1,10,6,8,7,10,13,8,12,10,1,8,9,10,5,8,87,10,6,8,4,10,3,8,2,10,28,8,4,10,5,8,5,10,6,8,3,10,3,8,4,10,13,8,17,15,3,8,5,18,1,15,1,18,5,8,21,15,6,18,1,8,4,10,7,8,8,10,24,4,1,19,15,4,650,},
{4,688,19,6,4,2,9,1,8,7,10,6,8,5,9,1,4,3,19,9,4,2,9,1,8,10,10,2,8,1,18,2,10,4,8,1,10,4,18,3,10,2,18,1,3,1,16,2,3,4,16,2,3,2,18,1,4,7,3,1,16,4,3,1,18,1,10,8,8,3,10,5,18,3,10,11,8,2,10,7,18,1,10,1,8,1,18,2,10,10,18,1,10,2,8,2,10,2,8,2,10,2,18,2,10,5,8,1,10,4,18,4,8,1,10,13,8,2,10,12,18,2,10,10,8,2,10,4,8,1,18,2,8,1,10,3,18,1,8,1,10,20,8,26,10,4,8,7,10,28,8,3,10,79,8,3,18,3,8,5,18,4,8,3,10,120,8,2,10,2,4,2,19,12,4,10,19,16,4,9,19,13,4,2,10,98,8,4,10,8,8,1,10,18,8,3,10,40,4,5,10,24,8,2,18,1,8,2,10,4,8,3,10,9,8,6,10,4,8,7,10,9,8,1,9,1,10,3,8,5,10,20,4,361,19,5,4,2,18,1,8,1,10,2,8,3,10,2,8,36,10,8,9,1,8,1,10,3,8,3,10,8,9,1,8,7,10,11,8,2,10,3,8,18,10,4,8,86,10,1,8,1,10,5,8,5,10,3,8,2,10,29,8,3,10,6,8,3,10,8,8,3,10,2,8,3,10,3,8,1,10,4,8,23,15,2,8,7,15,1,18,1,8,1,18,1,8,15,15,2,8,6,18,1,15,3,8,5,10,7,8,9,10,25,4,2,19,17,4,647,},
{4,688,19,6,4,2,9,1,8,7,10,7,8,1,10,4,4,6,19,6,4,2,9,1,8,9,10,9,8,2,18,1,10,8,18,1,3,1,16,2,3,7,18,1,4,4,3,2,4,2,3,1,16,4,3,1,18,1,10,4,8,1,10,4,8,2,10,5,18,2,10,3,8,1,10,9,8,1,18,1,10,6,18,1,10,1,3,3,18,1,10,3,9,1,18,1,10,6,8,2,10,3,8,1,10,3,8,2,10,9,8,2,18,4,8,1,10,33,18,3,10,2,8,2,10,2,18,1,10,2,18,3,10,24,8,16,10,1,8,9,10,5,8,9,10,26,8,2,10,80,8,12,18,3,8,3,10,120,8,3,10,1,4,2,19,12,4,6,19,20,4,8,19,12,4,4,10,98,8,5,10,5,8,1,10,19,8,5,10,66,8,7,10,4,8,2,9,1,10,3,9,1,10,5,8,7,10,4,8,5,10,9,8,3,10,4,8,4,9,1,10,2,8,3,9,1,10,13,4,368,18,1,8,1,10,2,8,2,10,4,8,8,10,5,8,6,10,1,8,15,10,13,8,2,10,10,9,1,8,6,10,5,8,1,10,2,8,6,10,5,8,94,10,18,8,5,10,2,8,4,10,1,8,4,10,23,8,4,10,5,8,3,10,8,8,3,10,3,8,1,10,4,8,1,10,4,8,27,10,2,8,3,18,1,8,28,18,1,8,17,10,29,18,1,4,2,19,18,4,646,},
{4,688,19,6,4,2,9,1,8,7,10,6,8,2,10,4,4,6,19,6,4,2,9,1,8,8,10,9,8,1,18,1,8,1,10,8,18,2,3,5,18,3,3,1,18,1,4,4,3,1,16,2,3,2,16,5,3,1,18,1,10,3,18,1,8,1,10,4,8,1,10,6,18,1,10,3,18,3,10,3,8,1,18,1,10,3,18,3,10,2,18,4,10,1,3,1,16,1,3,1,18,1,10,1,18,4,10,1,8,2,10,13,8,1,10,8,8,1,18,1,8,4,18,1,8,1,10,33,18,1,10,4,8,2,10,2,18,2,10,2,18,2,10,24,8,3,10,2,8,8,10,5,8,8,10,5,8,9,10,24,8,2,10,45,8,3,10,44,8,8,10,119,8,5,18,1,4,3,19,10,4,6,19,20,4,8,19,12,4,4,10,99,8,4,10,5,8,1,10,14,8,1,10,4,8,3,9,1,8,2,10,65,8,9,10,1,9,1,8,2,9,1,10,2,9,1,8,2,9,1,10,3,8,6,10,5,8,4,10,10,8,3,10,2,9,1,8,6,10,1,8,6,9,2,8,1,10,9,4,367,18,1,8,2,10,2,8,2,10,4,8,7,10,8,8,4,10,4,8,11,10,14,8,2,10,11,8,7,10,2,8,11,10,6,8,92,10,19,8,5,10,2,8,10,10,22,8,4,10,6,8,1,10,10,8,2,10,8,8,2,10,3,8,26,10,3,8,35,10,2,8,13,10,6,8,1,10,22,18,1,10,1,4,6,19,13,4,646,},
{4,688,19,6,4,2,9,1,8,8,10,3,8,5,10,3,4,6,19,6,4,2,9,1,8,5,10,2,8,1,10,2,8,1,10,4,8,3,18,1,10,4,8,1,10,3,18,3,3,5,18,4,4,4,18,1,3,1,16,3,3,1,16,4,3,2,18,1,10,2,18,2,8,1,10,7,8,1,10,3,18,1,10,2,8,1,18,1,3,1,18,1,10,2,8,1,18,1,8,1,10,3,18,2,8,1,10,2,18,3,10,1,8,1,3,1,16,1,3,1,18,1,10,1,18,2,10,3,18,2,10,21,8,1,18,3,8,1,10,50,8,1,18,2,10,23,8,2,10,4,8,7,10,5,8,8,10,5,8,11,10,22,8,1,10,46,8,3,10,45,8,7,10,119,8,6,9,1,10,1,4,1,19,10,4,6,19,21,4,7,19,11,4,3,18,1,10,103,8,2,10,19,8,2,10,3,8,2,9,2,8,2,9,1,10,63,8,4,10,4,8,4,18,1,8,1,10,3,9,1,8,3,9,2,8,7,10,6,8,3,10,9,9,1,8,3,10,2,9,1,8,6,10,1,9,1,8,5,9,1,8,2,10,9,4,366,18,1,8,2,10,4,8,1,10,4,8,8,10,7,8,4,10,5,8,11,10,13,8,2,10,12,9,1,8,17,9,1,10,6,8,31,10,2,8,62,10,1,8,1,10,14,8,5,10,2,8,10,10,22,8,5,10,16,8,2,10,8,8,2,10,3,8,27,10,1,8,36,10,1,8,13,10,5,8,7,10,17,18,1,10,2,18,1,10,2,4,4,19,15,4,643,},
{4,688,19,6,4,2,9,1,8,18,10,1,4,6,19,6,4,2,10,4,8,1,10,3,8,1,10,2,8,1,10,3,8,4,10,2,18,4,10,3,18,2,3,5,18,2,10,3,4,4,3,1,16,9,3,1,18,1,10,3,18,2,8,1,10,6,8,2,10,2,18,2,10,2,18,1,3,3,10,2,18,2,8,1,10,3,8,1,18,1,10,3,18,3,10,2,3,3,18,1,10,1,18,1,10,2,8,1,18,3,10,21,8,1,18,1,14,1,18,1,8,1,10,50,8,1,18,2,8,1,10,28,8,7,10,5,8,8,10,5,8,11,10,8,8,7,10,14,8,6,10,5,8,2,10,27,8,3,10,44,8,8,10,84,8,3,10,32,8,8,9,1,4,1,19,9,4,7,19,3,4,2,19,9,4,1,19,8,4,4,19,10,4,3,18,1,10,19,18,1,10,85,8,1,10,24,8,2,10,2,8,3,9,1,10,51,9,2,10,10,8,1,10,6,8,3,18,2,8,1,10,3,9,1,8,8,10,3,8,4,10,2,8,4,10,9,8,4,10,2,8,6,10,3,8,4,10,13,4,366,10,7,8,1,10,4,8,10,10,4,8,5,10,6,8,10,10,13,8,1,9,1,10,12,9,1,8,3,10,1,8,12,9,1,10,7,8,16,18,3,8,12,10,2,8,54,10,1,8,13,10,9,8,6,10,2,8,11,10,22,8,4,10,16,8,2,10,7,8,3,10,5,8,6,10,4,8,34,18,1,8,29,10,6,8,8,10,13,18,1,10,4,18,1,10,6,4,3,19,2,4,3,19,10,4,642,},
{4,688,19,6,4,2,18,1,8,18,9,1,4,6,19,6,4,2,10,15,8,3,18,1,10,2,18,2,10,4,18,2,3,6,18,1,10,4,18,3,3,1,16,10,3,1,10,4,18,1,10,1,8,1,10,6,8,1,10,7,3,4,8,2,3,2,10,12,18,1,10,1,18,4,10,4,18,1,3,1,18,1,10,15,8,2,10,5,8,1,18,4,8,1,10,42,18,1,10,3,8,1,10,3,18,3,10,26,8,10,10,4,8,9,10,3,8,14,10,6,8,2,10,2,8,1,10,1,8,1,10,13,8,7,10,4,8,3,10,72,8,2,18,2,8,6,10,81,8,7,10,27,8,1,10,3,8,8,9,1,4,1,19,1,4,1,19,7,4,6,19,2,4,1,18,2,4,2,19,2,4,9,19,6,4,6,19,1,4,1,18,3,4,5,18,1,10,22,18,1,10,83,8,1,10,24,8,2,10,2,8,3,9,2,10,48,9,4,10,18,8,2,18,3,9,1,10,3,9,1,8,1,9,2,8,4,10,2,9,1,8,4,10,2,8,6,10,7,8,4,10,2,8,6,10,3,8,3,10,14,4,366,10,4,8,2,10,6,8,11,10,2,8,7,10,5,8,11,10,9,8,4,10,14,9,1,10,3,8,1,10,1,8,8,9,2,10,8,8,73,10,2,8,12,10,1,8,14,10,8,8,5,10,3,8,10,10,25,8,1,10,17,8,1,10,8,8,3,10,6,8,3,10,6,8,34,18,1,8,29,10,4,8,10,10,10,18,1,10,2,18,1,10,11,4,9,19,9,4,642,},
{4,689,19,5,4,2,18,1,8,18,9,1,4,6,19,3,4,1,19,1,4,3,18,2,10,12,8,5,10,8,18,2,3,5,18,1,10,4,18,2,3,1,16,12,18,1,10,20,18,1,3,1,16,1,3,2,18,2,3,2,8,1,10,1,8,1,10,9,18,2,10,1,8,1,18,2,10,4,18,2,8,1,10,15,8,1,18,1,8,1,10,4,8,1,18,4,8,1,10,39,8,1,10,2,18,1,10,2,8,1,18,1,10,2,8,1,18,3,10,26,8,10,10,4,8,26,10,4,8,1,10,1,8,2,10,4,8,2,10,7,8,1,10,3,8,4,10,7,8,4,10,68,8,2,10,1,8,2,18,5,8,5,10,77,8,11,10,25,18,2,10,2,8,9,9,1,18,1,4,17,3,1,16,2,3,1,18,1,4,12,19,4,4,9,3,1,16,1,3,1,18,1,4,3,18,1,10,23,18,1,10,76,8,1,10,6,8,1,10,24,8,2,10,2,9,1,8,1,9,5,10,6,9,1,10,39,8,2,9,1,10,21,9,1,18,2,8,1,10,7,8,4,10,2,8,18,10,2,8,4,10,2,8,5,9,1,10,3,8,3,10,14,4,366,10,3,8,3,10,5,8,12,10,2,8,9,10,5,8,3,10,1,8,7,10,7,8,3,9,1,10,7,9,1,10,4,9,2,8,1,10,5,8,7,9,2,10,5,9,2,8,74,10,3,8,26,10,9,8,1,10,7,8,3,10,60,8,3,10,6,8,1,10,7,8,22,18,1,8,4,18,2,8,4,18,1,15,2,8,16,18,2,8,10,10,3,8,10,10,11,18,1,10,15,4,8,19,9,4,642,},
{4,696,18,1,8,18,9,1,4,2,19,6,4,6,18,2,10,4,8,2,10,2,8,9,10,8,18,3,3,4,18,1,10,4,3,2,16,13,18,1,10,7,8,2,10,2,8,2,9,2,18,1,10,2,8,1,10,1,3,1,16,3,3,1,8,1,18,1,3,2,18,1,10,1,8,1,10,8,18,1,10,1,18,1,10,2,18,2,10,12,8,1,10,9,8,1,18,1,8,1,10,4,8,3,10,1,8,2,10,4,8,1,10,16,18,1,10,17,8,1,10,1,9,1,18,1,10,2,8,4,18,2,8,1,10,28,8,8,10,5,8,34,10,3,8,3,10,6,8,3,10,1,8,3,10,9,8,3,10,68,8,6,18,5,8,5,10,58,8,1,10,18,8,1,14,3,8,2,10,2,8,4,10,24,18,2,10,1,8,12,9,3,10,1,4,6,10,3,18,3,3,1,16,4,3,3,16,2,3,1,4,19,18,1,3,3,18,1,10,2,18,2,8,1,10,10,18,1,10,38,4,11,10,38,8,3,10,5,8,1,10,24,8,2,10,2,9,1,8,1,9,4,18,1,10,5,18,2,10,8,8,1,10,29,9,1,18,2,8,1,10,14,8,2,10,6,8,1,18,1,8,1,10,8,8,2,9,1,10,2,8,18,10,2,8,4,10,2,8,6,10,2,9,1,8,2,9,1,10,14,4,5,19,2,4,358,18,1,8,1,10,1,8,4,10,5,8,12,10,3,8,8,10,5,8,3,10,2,8,8,10,4,9,1,8,3,10,6,8,4,9,4,8,2,10,5,8,7,9,1,10,4,9,3,8,75,10,4,8,20,10,13,8,2,10,8,8,1,10,44,8,3,10,15,8,2,10,14,8,3,10,1,8,12,10,3,8,2,18,2,8,3,18,1,15,2,18,1,8,3,18,1,15,2,8,10,15,1,8,18,10,2,8,5,10,16,18,1,10,21,4,2,19,9,4,642,},
{4,696,18,1,8,10,10,5,8,3,10,1,4,2,19,6,4,6,18,2,10,5,8,1,10,1,8,10,10,7,18,4,3,3,18,2,10,3,9,1,3,2,16,3,3,1,16,8,3,1,18,1,10,8,8,4,9,1,18,3,10,2,18,2,3,1,16,2,3,1,18,3,3,2,18,1,10,8,18,1,10,6,18,2,10,1,18,1,10,6,18,1,10,2,18,1,10,11,8,2,10,3,8,3,10,3,8,2,10,2,8,2,10,27,18,2,10,5,8,1,10,2,9,1,10,5,8,1,18,2,8,1,10,30,8,6,10,5,8,17,10,29,8,2,10,84,8,2,18,3,8,2,18,5,8,3,10,59,8,5,10,14,8,1,15,1,14,3,15,1,8,2,10,1,8,5,10,26,8,13,10,5,9,1,10,6,18,1,3,2,16,10,3,1,4,4,18,4,4,2,18,4,4,4,18,1,3,4,18,1,10,2,18,2,8,1,10,49,4,12,10,38,8,1,10,36,9,1,10,1,9,3,8,1,9,1,10,4,8,1,18,1,10,39,8,3,9,1,10,3,9,2,10,7,8,3,10,6,9,1,8,2,10,8,8,1,9,2,10,2,8,18,10,2,8,4,9,1,8,7,10,2,8,4,10,6,9,1,10,7,4,4,19,5,4,356,18,1,8,6,10,5,8,12,10,5,8,5,10,3,8,1,10,6,8,1,10,1,8,5,10,7,8,3,10,6,9,1,8,4,9,1,10,1,9,1,8,2,10,7,8,4,9,2,10,3,9,1,8,21,10,4,8,54,10,2,8,17,10,18,8,1,10,8,8,1,10,36,8,1,10,7,8,3,10,16,8,2,10,12,8,4,10,2,8,11,10,3,8,7,18,1,15,2,8,4,18,2,8,37,10,13,9,1,10,25,4,1,19,8,4,14,19,4,4,625,},
{4,688,19,5,4,3,18,1,8,8,10,11,4,2,19,7,4,5,9,1,8,2,10,7,8,1,18,3,10,2,18,2,10,8,18,3,3,1,16,2,3,2,18,1,10,1,18,1,10,2,18,1,3,5,16,8,3,1,8,1,10,11,8,1,9,3,8,1,10,2,18,1,3,4,18,3,3,3,18,1,10,7,18,1,10,4,18,2,10,3,18,2,10,5,18,2,10,2,8,1,10,6,8,2,10,8,18,3,8,1,10,2,8,8,18,2,8,1,10,21,8,2,18,1,10,14,8,1,10,1,8,2,10,7,8,2,10,15,8,1,10,7,8,5,10,137,8,1,18,7,8,1,18,1,8,2,10,57,8,4,10,1,8,5,10,11,8,2,7,1,15,1,7,1,14,2,7,1,8,13,10,46,8,2,14,1,16,6,3,1,16,3,3,1,4,4,18,18,8,2,10,2,8,2,10,50,4,2,19,7,4,3,10,12,8,2,10,6,8,1,10,57,9,2,8,2,9,1,10,5,9,3,10,28,8,3,10,6,9,1,8,2,9,1,10,1,9,1,8,2,9,1,10,16,9,1,10,9,9,1,8,1,10,5,8,16,9,1,8,11,10,3,8,5,10,6,8,1,10,7,4,4,19,6,4,356,18,1,8,6,10,5,8,2,9,2,10,2,9,2,8,2,9,2,10,5,9,3,10,4,8,2,10,4,8,2,10,17,8,3,10,4,8,3,10,14,8,2,10,4,8,10,10,1,8,13,10,4,8,72,10,27,8,1,10,10,8,2,10,10,8,1,10,14,8,1,10,9,8,1,10,15,8,1,10,11,8,7,10,4,8,7,10,4,8,5,18,1,8,2,15,2,8,4,18,1,8,6,18,1,8,10,18,1,15,1,8,26,10,32,4,23,19,5,4,624,},
{4,688,19,6,4,2,18,1,9,1,8,6,10,11,4,3,19,8,4,4,18,1,8,3,10,8,18,3,10,10,8,1,18,2,3,2,16,2,3,1,18,1,10,4,18,1,3,3,18,2,3,1,16,6,3,2,18,1,10,4,8,1,10,9,18,1,8,1,10,3,18,1,3,3,18,1,8,1,18,2,3,3,18,1,10,2,18,1,10,4,18,1,10,5,18,2,10,1,18,3,10,5,18,2,10,4,8,3,10,2,18,2,10,8,18,1,3,1,14,1,18,1,10,3,8,4,10,1,8,1,18,4,8,1,10,19,8,5,10,10,18,2,10,4,8,1,10,7,8,1,18,1,10,24,8,5,10,136,8,2,18,4,8,5,10,51,8,2,10,3,8,6,10,2,8,3,10,12,8,1,15,1,7,7,8,12,10,7,8,1,10,27,8,1,10,1,8,1,10,5,8,3,10,1,8,2,14,1,16,4,14,1,8,1,14,2,18,2,10,1,4,2,18,4,8,1,10,6,9,1,8,4,10,32,8,1,10,26,4,2,19,8,4,2,10,20,8,1,10,26,8,3,10,29,8,5,10,4,8,3,10,28,8,4,10,6,9,1,8,2,9,1,10,1,8,2,9,1,10,11,8,2,10,22,8,26,10,3,8,5,10,14,4,4,19,6,4,356,18,1,9,1,8,11,10,6,9,6,10,4,9,2,10,5,8,2,10,4,8,2,10,17,8,3,9,1,10,4,8,2,10,8,8,1,10,5,8,2,10,4,8,7,10,1,8,17,10,2,8,47,15,1,8,25,10,27,8,2,10,9,8,2,10,4,8,2,10,19,8,2,10,8,8,1,10,5,8,3,10,19,8,7,10,5,8,15,18,1,8,2,15,1,8,11,18,1,15,1,8,10,18,2,8,27,10,32,4,21,19,6,4,624,},
{4,688,19,6,4,3,18,1,8,1,18,3,8,3,10,7,4,5,19,9,4,4,18,1,8,2,10,3,8,1,18,1,10,5,18,3,10,10,8,1,18,2,3,4,8,1,10,3,18,1,3,1,16,1,3,2,18,2,3,1,16,4,3,2,18,2,10,9,8,1,10,5,18,2,8,2,10,1,18,1,3,4,18,1,8,1,3,4,18,1,8,1,10,16,18,2,10,11,8,2,18,1,8,1,10,1,18,2,10,7,18,1,14,1,3,2,18,1,8,1,10,8,8,1,18,3,8,2,10,18,8,5,10,15,8,1,18,1,8,1,10,32,8,5,10,49,8,1,10,79,8,1,10,6,8,2,18,3,8,5,10,51,8,13,10,1,8,2,10,13,8,2,7,2,8,1,7,4,8,3,7,2,8,7,10,6,8,1,10,29,8,2,10,2,8,1,10,2,8,1,15,2,8,1,10,2,8,1,15,1,3,1,16,2,15,1,10,1,8,2,10,4,9,1,8,1,18,1,8,1,10,7,9,3,8,3,10,59,4,2,19,8,4,2,10,29,9,1,10,50,8,3,10,4,9,1,8,3,10,30,8,3,10,5,9,3,10,2,9,2,10,11,8,3,10,13,9,1,8,1,10,5,8,29,10,5,8,5,10,11,4,4,19,6,4,350,19,5,4,2,18,1,8,12,9,1,10,3,9,7,10,4,9,2,10,5,8,2,10,4,8,2,10,16,8,4,10,15,8,1,10,11,8,1,10,4,8,95,10,11,8,2,10,14,8,2,10,15,8,2,10,19,8,2,10,15,8,2,10,21,8,4,10,6,8,16,18,1,15,1,8,13,18,1,8,38,10,45,4,1,18,1,10,2,18,2,4,3,19,8,4,622,},
{4,688,19,6,4,4,9,1,18,3,8,3,10,7,4,3,19,11,4,4,9,1,8,3,10,1,8,1,18,1,10,6,18,2,10,11,18,3,3,2,18,1,10,4,18,1,3,1,16,2,3,2,10,1,18,1,3,1,16,3,3,1,18,2,10,7,8,5,10,4,8,5,10,1,18,1,3,4,8,1,10,1,18,6,10,1,9,1,18,1,10,5,9,1,10,11,18,2,10,7,18,3,9,1,10,10,18,1,3,3,18,1,8,1,10,8,8,4,10,19,8,1,18,1,8,2,10,10,18,2,10,5,8,1,18,2,8,1,10,31,8,2,10,1,8,2,10,48,8,2,10,86,8,6,10,56,8,12,10,15,8,7,7,7,15,1,8,7,10,5,8,2,10,36,8,1,15,2,8,1,10,4,8,1,14,1,15,1,8,1,10,1,8,1,10,4,8,4,10,7,9,2,10,2,8,3,10,39,18,1,10,19,4,2,19,8,4,2,10,28,9,2,10,27,8,1,10,22,8,1,9,1,10,5,8,5,10,30,8,2,9,1,10,22,8,3,10,12,9,1,8,2,10,4,8,23,10,1,8,7,10,4,8,6,10,10,4,4,19,6,4,350,19,5,4,3,9,1,8,12,10,4,9,6,10,4,9,3,10,4,8,2,10,4,8,2,10,12,8,2,10,1,8,5,10,15,8,1,10,17,8,94,10,10,8,4,10,13,8,2,10,14,8,3,10,19,8,2,10,4,8,2,10,10,8,1,10,32,8,15,15,2,8,2,15,2,8,12,10,2,8,7,9,1,8,24,10,52,18,1,4,3,19,9,4,621,},
{4,688,19,6,4,4,10,1,18,2,9,1,10,10,4,2,19,12,4,4,8,4,10,1,8,2,10,5,18,3,10,10,18,2,3,3,18,1,10,4,18,1,3,1,16,3,3,1,18,1,10,2,3,4,18,1,10,1,18,1,10,7,8,5,10,4,8,5,10,1,8,1,18,1,3,2,18,1,10,1,8,1,10,1,18,1,8,1,18,2,8,1,10,1,18,2,10,1,18,2,10,2,18,2,10,10,18,2,10,3,18,1,10,3,9,1,18,2,9,1,10,6,18,1,10,2,8,1,18,1,3,2,18,3,8,2,10,30,8,3,10,10,18,1,10,1,18,1,10,4,8,1,18,2,8,1,10,84,8,3,10,81,8,10,10,56,8,11,10,16,8,7,7,3,14,3,15,1,8,8,10,4,8,4,10,35,8,1,15,2,8,2,10,3,8,2,18,1,8,4,10,2,9,1,8,1,18,1,8,2,10,6,9,2,10,65,4,12,10,56,8,2,10,4,8,1,10,17,8,1,10,6,8,5,10,2,8,1,9,1,10,27,8,2,10,23,8,1,10,13,8,4,10,3,8,23,9,1,8,6,10,5,8,7,10,9,4,3,19,7,4,349,19,6,4,3,18,1,8,12,10,6,8,3,9,1,10,5,9,2,10,4,8,2,10,4,8,5,10,9,8,9,10,5,8,3,10,6,8,2,10,18,8,91,10,11,8,5,10,13,8,4,10,11,8,3,10,7,8,2,10,11,8,1,10,14,8,3,10,33,8,3,18,4,8,7,18,1,15,1,8,2,15,2,8,12,10,2,8,6,10,3,8,7,9,1,8,11,10,56,18,1,4,2,19,11,4,620,},
{4,688,19,6,4,9,10,5,9,1,10,2,4,3,19,12,4,4,18,1,10,1,9,3,10,6,18,3,10,11,18,2,3,2,18,1,10,5,18,1,3,1,16,2,3,2,18,1,10,1,18,1,3,3,18,1,10,2,18,1,3,1,18,1,10,4,8,5,10,5,8,5,10,1,8,1,18,4,10,1,8,1,10,4,8,1,10,2,18,1,10,1,8,1,3,2,10,2,18,2,10,2,8,1,18,2,10,10,18,2,10,3,18,2,9,1,10,9,18,1,14,1,3,1,14,1,18,1,8,3,10,26,18,2,10,2,8,3,10,13,18,1,10,4,18,2,8,1,10,85,8,3,10,73,8,1,10,5,8,11,10,59,8,1,10,2,8,1,10,21,8,7,7,2,14,4,15,1,8,8,10,4,8,5,10,11,8,3,10,5,8,3,10,12,8,15,10,2,8,4,9,1,10,73,4,12,10,56,8,1,10,5,8,1,10,23,9,1,8,8,9,1,10,28,8,1,9,1,10,7,9,6,10,23,8,4,10,4,8,28,10,5,8,8,10,9,4,2,19,7,4,349,19,7,4,3,18,3,8,11,10,5,8,7,10,1,8,3,10,4,8,3,10,3,8,6,10,8,8,11,10,3,8,4,10,5,8,3,10,21,8,38,15,1,8,48,10,10,8,10,10,9,8,5,10,20,8,2,10,23,8,7,10,33,8,2,18,4,8,11,15,1,18,1,8,9,18,1,8,2,10,2,8,5,10,4,8,7,9,2,8,9,10,57,18,1,4,1,19,12,4,620,},
{4,688,19,8,4,4,19,1,4,5,10,3,4,5,19,12,4,12,10,2,18,4,10,12,18,3,10,6,18,1,3,3,18,4,3,1,16,2,3,1,10,2,18,1,3,3,18,1,10,3,8,5,10,5,8,5,10,2,18,1,3,1,18,2,8,1,10,7,18,1,10,2,18,1,3,2,10,1,18,2,9,1,10,2,18,3,10,3,8,1,18,1,10,5,18,2,10,3,8,2,10,1,8,1,10,1,8,2,10,4,8,1,14,1,3,2,14,1,18,1,10,9,8,1,10,25,8,1,10,11,18,2,10,4,8,1,18,2,8,1,10,86,8,2,10,68,8,1,10,3,8,1,18,1,8,2,10,2,8,1,18,1,8,10,10,78,8,2,10,4,8,2,10,1,8,4,7,1,14,5,15,1,8,9,10,3,8,6,10,11,8,3,10,5,8,2,10,13,8,3,15,3,8,8,10,29,8,2,10,49,4,9,10,65,8,2,10,14,9,2,10,6,9,1,8,8,9,1,10,36,9,1,8,2,9,1,8,3,9,2,10,22,8,3,10,5,8,26,10,5,8,11,10,7,4,2,19,6,4,350,19,6,4,7,18,3,8,8,10,6,8,6,9,1,8,4,9,1,10,1,8,4,10,3,8,5,10,9,8,12,10,2,8,4,10,5,8,3,10,22,8,37,15,1,8,40,18,1,8,7,10,10,8,3,18,1,8,7,10,8,8,6,10,19,8,3,10,10,8,1,10,10,8,8,10,33,8,3,18,3,8,10,18,1,8,11,15,1,18,1,8,8,10,4,8,17,10,58,4,3,19,13,4,618,},
{4,688,19,14,4,4,10,2,4,6,19,12,4,4,19,5,4,3,10,3,18,1,10,14,8,2,10,6,18,1,3,2,18,1,10,3,18,1,3,2,16,2,18,1,10,1,18,1,3,1,16,3,3,1,10,1,8,2,10,1,8,4,10,4,8,7,10,1,3,2,18,4,10,1,8,2,10,2,8,1,10,3,18,1,3,2,10,4,18,1,10,1,18,1,3,1,18,1,8,1,10,2,18,2,8,2,18,1,10,2,18,1,10,2,18,1,8,1,10,3,8,1,10,2,18,1,8,1,10,3,8,1,18,1,3,1,14,1,18,1,8,1,10,8,8,2,10,43,8,1,18,2,10,87,8,2,10,68,8,2,10,2,18,3,8,1,10,2,8,1,18,1,8,10,10,88,8,3,7,1,14,5,8,2,10,1,8,7,10,4,8,6,10,4,8,3,10,11,8,1,10,15,8,2,15,1,14,2,18,1,8,4,9,1,10,31,8,2,10,5,8,1,10,20,8,1,10,22,4,8,10,66,8,2,10,13,8,2,10,7,9,1,8,1,9,1,10,2,9,1,8,2,9,1,10,37,9,1,8,1,9,4,8,1,9,2,10,16,8,2,10,5,8,2,10,5,8,20,15,1,8,4,10,5,8,7,10,3,8,3,10,6,4,2,19,6,4,350,19,6,4,9,18,1,8,8,10,7,8,11,10,1,8,4,10,4,8,4,10,10,8,6,10,1,8,4,10,2,8,4,10,6,8,4,10,3,8,3,10,2,8,1,10,12,8,36,15,1,8,44,10,2,8,2,10,11,8,2,18,1,8,9,10,5,8,7,10,19,8,3,10,9,8,2,10,10,8,8,10,34,8,12,10,1,8,2,15,1,8,11,15,1,18,1,8,7,10,3,8,19,10,58,4,3,19,16,4,10,19,5,4,4,19,5,4,591,},
{4,688,19,14,4,3,10,3,4,22,19,5,4,3,10,6,8,3,10,9,18,3,10,3,18,1,9,1,18,1,3,2,18,1,10,3,18,1,3,4,18,1,10,1,3,1,16,4,3,1,8,10,10,1,8,9,3,3,18,1,3,1,18,1,10,1,8,2,10,3,18,2,10,1,18,4,10,2,18,2,10,1,18,1,3,1,18,2,10,2,8,1,18,1,10,1,8,1,18,2,10,1,18,1,10,2,18,2,10,1,8,1,10,10,8,1,18,2,8,1,10,53,8,1,18,2,8,1,10,28,8,5,10,6,8,1,10,98,8,3,10,19,8,1,18,3,8,1,10,2,8,11,10,89,8,3,7,1,14,5,8,2,10,1,8,7,10,5,8,12,10,11,8,1,10,14,8,4,15,2,8,1,10,1,8,1,10,26,8,2,10,6,8,2,10,25,8,3,10,21,4,8,10,66,8,2,10,12,8,3,10,7,8,2,10,12,9,2,10,30,8,2,10,21,8,4,10,5,8,2,10,5,8,11,15,1,8,12,10,6,8,6,10,4,8,3,10,6,4,2,19,6,4,350,19,5,4,11,18,2,8,5,10,10,8,9,10,2,8,2,9,2,10,2,9,2,8,1,10,14,8,3,10,3,8,2,10,4,8,2,10,7,8,5,10,1,8,3,10,3,8,2,10,11,8,14,18,1,8,21,15,1,8,19,10,1,8,24,10,3,8,1,10,11,8,13,10,3,8,9,10,13,8,1,10,5,8,3,10,8,8,2,10,9,8,8,10,35,8,12,10,1,8,2,15,1,8,11,18,1,8,8,10,2,8,20,10,15,8,4,10,39,4,4,19,16,4,9,19,15,4,590,},
{4,689,19,13,4,3,10,3,4,22,19,5,4,2,18,1,10,6,8,1,18,3,8,1,10,6,18,5,8,1,10,1,18,1,9,1,18,1,3,1,18,2,10,1,8,1,10,1,18,1,3,3,18,1,10,1,18,1,3,1,16,4,3,1,10,1,8,18,10,1,18,1,3,1,18,2,3,1,18,1,10,1,8,3,10,7,18,1,3,1,18,1,10,4,3,4,18,2,8,1,10,3,18,2,10,4,18,2,10,1,8,1,10,8,18,1,10,2,18,1,8,2,10,51,8,3,18,1,8,1,10,7,8,1,10,19,8,6,10,1,8,1,10,4,8,2,10,98,8,4,10,18,8,1,18,1,3,1,18,1,8,1,10,103,8,2,15,2,14,3,15,1,8,1,10,2,8,5,10,8,8,8,10,13,8,2,10,14,8,2,10,2,8,2,10,3,8,1,10,6,8,2,10,17,8,2,10,30,8,7,10,20,4,8,10,66,8,1,10,13,8,3,10,7,8,2,10,12,8,1,9,1,10,17,8,1,10,5,9,1,10,6,9,1,10,21,8,6,10,5,8,22,9,1,8,6,10,4,8,8,10,14,4,3,19,4,4,352,19,11,4,4,18,4,8,3,10,12,8,6,10,3,9,4,10,2,9,2,10,27,8,2,10,8,8,8,10,4,8,1,10,11,8,54,10,5,8,21,10,4,8,2,10,3,8,3,10,4,8,14,10,2,8,4,10,3,8,2,10,13,8,2,10,5,8,2,10,8,8,2,10,8,8,6,10,38,8,15,18,1,8,42,10,13,8,7,10,39,4,6,19,13,4,8,19,16,4,590,},
{4,690,19,12,4,3,10,3,4,21,19,6,4,2,18,1,10,6,8,4,10,5,18,4,3,3,18,1,10,1,18,1,8,1,18,1,3,2,18,1,10,3,18,1,3,3,18,1,10,2,3,1,16,2,3,2,10,2,8,9,10,2,8,5,10,1,8,1,10,2,8,2,18,3,10,2,8,2,10,7,18,1,3,2,18,1,10,3,3,2,16,1,3,3,18,1,10,3,18,1,8,1,10,1,18,2,10,2,8,1,10,7,8,1,10,5,18,5,8,1,10,15,8,2,10,11,18,2,10,8,8,2,10,7,8,3,10,1,8,1,10,7,8,2,10,10,18,1,10,9,8,4,10,2,8,1,10,4,8,2,10,98,8,4,10,18,8,1,18,1,14,1,18,1,8,1,10,103,8,4,15,3,8,2,10,2,8,2,10,15,8,4,10,11,8,4,10,14,8,2,10,2,8,2,10,2,8,2,10,5,8,4,10,12,8,1,10,34,8,4,10,6,8,1,10,86,8,3,10,17,8,1,10,7,8,3,10,18,8,1,10,17,9,1,8,1,9,1,10,16,8,1,10,10,8,6,10,5,8,22,9,1,10,9,8,7,10,15,4,363,19,9,4,5,18,3,10,1,8,1,10,14,8,4,10,4,9,2,10,32,8,2,10,8,8,8,10,13,8,57,10,6,8,20,10,3,8,3,10,2,8,5,10,4,8,13,10,2,8,4,10,25,8,3,10,8,8,1,10,8,8,3,10,41,8,8,18,1,8,7,15,2,8,40,10,13,8,6,10,41,18,3,4,5,19,16,4,2,19,21,4,1,19,1,4,19,19,5,4,559,},
{4,690,19,12,4,3,10,3,4,18,10,2,4,1,19,6,4,2,18,1,10,5,8,3,10,4,8,1,10,1,18,3,8,1,18,2,3,2,18,1,10,3,18,1,3,1,18,1,10,1,8,1,10,2,3,3,18,1,10,1,9,1,10,1,3,4,10,1,8,10,10,3,8,4,10,2,8,3,10,2,8,1,18,3,10,1,8,1,18,2,10,3,18,4,3,1,16,1,3,1,10,1,18,1,10,1,18,1,16,4,3,1,18,1,10,1,18,1,10,2,8,1,10,1,18,2,10,2,8,1,10,7,8,1,10,4,8,1,18,1,3,3,18,2,10,29,18,1,10,8,8,2,10,8,8,1,10,10,8,1,10,10,18,2,10,22,8,1,10,99,8,2,10,18,8,1,18,3,8,1,10,1,8,4,10,99,8,12,10,15,8,3,10,12,8,1,18,1,8,1,10,23,8,2,10,5,8,4,10,3,8,2,10,6,9,1,8,1,10,34,8,3,10,94,18,1,14,1,18,1,10,17,8,1,10,7,8,3,10,18,8,1,9,1,10,15,8,3,9,1,10,15,8,2,10,10,8,5,10,6,8,23,10,8,8,7,10,15,4,364,19,11,4,6,18,1,8,2,10,13,8,4,10,5,9,1,10,7,8,1,10,8,8,4,10,4,8,3,10,4,8,3,10,9,8,7,10,8,8,61,10,7,8,6,10,1,8,13,10,3,8,3,10,2,8,5,10,5,8,12,10,2,8,4,10,26,8,2,10,17,8,2,10,41,8,8,18,1,15,1,18,1,8,2,18,1,8,3,15,2,8,10,10,2,8,30,10,4,8,1,10,6,8,6,10,35,8,2,10,5,18,3,4,5,19,15,4,2,19,26,4,16,19,6,4,2,19,6,4,550,},
{4,690,19,12,4,3,10,3,4,1,19,3,4,7,19,5,4,2,10,2,4,1,19,6,4,3,10,4,8,3,10,5,18,1,10,1,18,2,10,4,18,2,10,2,18,4,10,1,9,2,10,2,18,1,3,1,18,1,10,1,18,2,10,1,3,3,18,1,10,1,8,10,10,3,8,9,10,2,18,4,10,1,8,1,18,2,10,5,18,1,10,1,3,1,16,1,3,1,18,1,10,2,18,1,3,1,16,3,3,1,18,1,10,1,18,1,10,4,18,1,10,3,18,1,8,1,10,11,18,1,3,4,18,1,8,1,10,39,8,1,10,13,18,1,10,5,8,1,10,10,18,2,10,142,8,2,18,1,8,1,10,3,8,4,10,101,8,8,10,17,8,2,10,11,8,1,18,2,8,1,10,21,8,3,10,13,8,3,10,21,8,1,10,19,8,1,10,10,8,1,10,9,9,1,10,75,18,1,3,1,14,1,8,1,10,16,8,1,10,7,8,3,9,1,10,16,9,1,8,2,10,14,8,4,9,1,10,15,8,2,10,22,8,17,10,1,8,5,10,7,8,7,10,15,4,364,19,13,4,4,18,1,8,4,10,10,8,6,10,3,8,1,9,1,10,7,8,5,10,1,8,7,10,3,8,4,10,4,8,3,10,9,8,7,10,8,8,61,10,3,8,10,10,1,8,14,10,2,8,3,10,1,8,7,10,5,8,11,10,3,8,3,10,5,8,1,10,20,8,2,10,18,8,1,10,39,8,10,18,1,15,1,18,1,8,2,18,2,8,2,15,2,8,10,10,2,8,2,18,1,8,33,10,4,8,5,10,37,8,2,10,5,18,3,10,2,4,4,19,14,4,6,19,4,4,2,19,16,4,16,19,16,4,548,},
{4,690,19,12,4,3,10,3,4,1,19,4,4,6,19,5,4,2,10,1,18,1,4,1,19,6,4,3,10,3,8,3,10,8,18,1,3,1,10,4,18,2,10,2,18,1,3,1,18,1,10,1,9,1,18,1,9,1,10,2,18,1,10,2,18,2,9,1,10,1,18,1,3,1,18,3,10,1,8,10,10,1,8,10,10,2,8,1,10,4,8,1,9,2,8,1,10,4,18,1,10,1,3,1,16,2,3,1,10,1,18,1,10,1,3,1,16,3,3,1,18,1,10,1,18,1,10,4,18,1,10,2,8,1,18,2,8,1,10,10,18,1,3,3,14,1,8,1,10,44,18,2,10,9,18,1,10,166,8,4,10,105,8,2,10,29,8,7,10,21,8,3,10,14,8,1,10,21,8,3,10,39,9,1,10,75,18,1,3,2,10,17,8,2,10,6,8,3,9,1,10,3,8,1,10,4,8,1,9,1,10,4,9,1,8,5,10,13,8,3,9,1,10,16,8,2,10,28,8,9,10,3,8,6,10,5,8,8,10,15,4,366,19,2,4,1,19,9,4,4,18,4,8,6,10,1,8,9,10,3,8,2,9,1,10,7,8,12,10,3,8,4,10,4,8,5,10,7,8,8,10,8,8,60,10,2,8,26,10,2,8,2,10,3,8,6,10,10,8,5,10,4,8,3,10,5,8,2,10,20,8,1,10,34,8,1,10,22,8,5,10,3,8,3,18,1,15,2,18,3,8,4,18,1,8,9,10,3,8,1,18,1,15,1,8,2,10,1,8,30,10,4,8,2,10,34,8,2,10,4,8,2,10,6,18,2,10,2,4,6,19,2,4,1,19,9,4,7,19,2,4,4,19,15,4,16,19,16,4,548,},
{4,690,19,12,4,3,10,2,4,2,19,4,4,6,19,5,4,4,19,6,4,4,8,5,10,8,18,1,3,2,8,1,10,1,18,2,3,1,18,1,8,1,10,1,3,3,10,2,18,1,9,1,10,3,9,1,18,2,9,1,10,2,18,2,10,2,18,2,10,1,8,20,10,3,8,4,18,1,8,1,10,6,18,1,10,2,3,1,16,2,18,2,10,1,3,1,16,3,3,1,10,1,18,2,10,3,9,1,18,2,10,2,18,2,10,7,18,2,10,2,18,1,3,3,18,1,10,16,18,2,10,13,18,2,10,12,18,2,10,44,8,5,10,11,8,3,10,82,8,2,10,3,8,2,10,10,8,1,10,13,8,4,10,88,8,3,10,14,8,2,10,22,8,1,10,5,8,2,18,2,8,2,10,24,8,2,10,36,8,4,10,22,8,2,10,20,9,1,10,69,18,1,3,2,10,16,8,3,10,6,8,2,9,1,10,4,8,1,9,1,10,2,9,1,8,2,10,4,8,7,10,11,8,4,10,17,8,2,10,5,8,3,10,33,8,13,10,4,8,3,10,13,4,370,19,8,4,4,18,2,4,1,18,1,8,17,10,1,8,3,9,1,10,8,8,10,10,4,8,3,10,5,8,7,10,6,8,8,10,9,8,18,18,1,8,4,10,3,8,60,10,2,8,2,10,3,8,6,10,11,8,3,10,6,8,3,10,4,8,2,10,55,8,2,10,21,8,4,10,5,8,2,18,2,15,3,8,6,18,1,15,1,18,1,8,2,10,1,8,3,10,3,8,1,15,2,8,1,10,2,8,30,10,4,8,2,10,9,8,4,10,21,8,2,10,4,8,1,18,1,8,1,10,5,18,1,8,1,10,7,4,7,19,2,4,2,19,2,4,10,18,2,4,5,19,11,4,4,19,6,4,6,19,16,4,4,19,7,4,537,},
{4,691,19,11,4,6,19,5,4,6,19,6,4,2,19,6,4,5,8,10,10,2,18,2,3,2,18,5,10,1,18,1,8,1,18,1,3,1,18,1,10,1,18,2,9,1,10,3,18,2,9,1,10,2,8,1,18,1,10,1,8,1,10,1,18,2,10,1,8,18,10,5,8,5,10,2,18,2,8,1,10,2,18,2,10,1,3,1,16,2,3,1,18,3,16,2,3,1,18,1,10,2,18,1,10,3,18,2,9,1,10,8,18,1,10,2,18,2,10,2,18,1,14,1,3,1,18,1,10,16,18,3,10,13,18,2,10,13,9,1,10,8,18,1,10,10,18,1,10,24,8,5,10,12,8,1,10,78,8,8,10,14,8,2,10,82,8,2,10,20,8,3,10,14,8,2,10,22,8,3,10,3,8,2,18,2,8,1,10,25,8,1,10,36,8,9,10,18,8,2,10,90,8,1,14,1,18,1,10,16,8,4,10,12,9,1,10,3,8,3,10,5,8,1,18,1,8,4,10,12,8,3,10,17,8,2,10,5,8,3,10,33,8,12,10,21,4,370,19,4,4,1,19,3,4,8,18,5,8,12,10,1,8,5,10,1,9,1,10,8,8,4,10,7,8,3,10,5,8,2,10,2,8,3,10,6,8,8,10,1,8,6,10,3,8,22,10,3,8,42,15,1,8,17,10,2,8,12,10,10,8,2,10,8,8,1,10,5,8,2,10,55,8,1,10,22,8,4,10,5,8,5,15,2,8,8,18,1,8,2,10,1,8,3,10,3,8,1,15,2,18,1,8,1,10,1,8,30,10,13,8,11,10,15,8,1,18,1,8,1,10,4,8,2,10,6,8,2,10,8,4,6,19,2,4,14,10,1,18,1,4,6,19,10,4,4,19,7,4,6,19,15,4,4,19,8,4,536,},
{4,694,19,6,4,8,19,4,4,7,19,6,4,2,19,7,4,4,10,3,8,5,18,1,8,1,10,2,18,1,3,3,18,1,10,4,8,2,10,4,8,1,18,1,9,1,8,1,10,1,8,1,10,1,18,2,10,8,18,2,10,1,8,8,10,2,8,8,10,4,8,6,10,2,18,3,10,1,18,2,10,1,18,1,16,3,3,1,10,1,18,2,3,1,16,1,3,1,18,1,10,2,18,1,10,9,8,1,10,4,18,1,10,11,8,1,10,1,8,3,10,9,18,1,10,15,18,2,10,6,18,1,10,3,8,1,10,3,18,2,10,3,8,3,10,11,18,2,10,118,8,10,10,97,8,2,10,7,8,1,10,54,8,2,10,5,8,3,10,59,8,13,10,43,8,1,10,55,9,2,10,29,8,4,10,3,8,1,10,5,9,1,10,6,9,1,8,2,9,1,10,3,8,1,18,1,8,4,10,3,8,2,10,8,8,2,10,18,8,1,10,39,8,14,10,10,8,2,10,9,4,388,18,2,4,1,18,2,8,9,10,5,8,5,10,21,8,6,10,12,8,5,10,4,8,7,10,1,8,24,10,2,8,12,15,1,8,10,10,2,8,6,10,1,8,28,10,1,8,17,10,2,8,6,10,38,8,1,10,56,8,3,10,4,8,7,18,1,15,3,8,2,10,2,8,9,10,2,8,1,18,1,15,2,8,1,10,4,8,15,18,2,8,9,10,9,8,1,10,4,8,10,10,16,8,1,18,1,8,1,10,11,8,2,10,10,4,21,10,2,4,6,19,9,4,1,19,11,4,10,19,7,4,2,19,2,4,4,19,9,4,535,},
{4,695,19,4,4,9,19,4,4,7,19,14,4,5,10,3,8,7,10,2,18,1,3,2,18,2,10,1,8,12,10,2,18,1,3,1,18,1,8,1,18,2,10,6,18,2,10,1,8,8,10,3,8,5,10,6,8,2,10,2,8,2,10,2,18,2,8,1,10,1,18,2,10,1,3,1,16,3,18,1,10,2,18,1,16,2,3,1,8,1,10,2,18,1,10,5,18,2,10,1,8,3,10,6,8,1,10,8,8,3,18,2,10,8,18,2,10,23,18,1,10,3,8,1,10,3,18,2,10,2,18,3,8,1,10,3,18,2,10,6,18,2,10,118,8,10,10,97,8,2,10,6,8,4,10,71,8,2,10,4,8,2,10,25,8,1,10,12,8,1,10,3,8,4,18,1,8,9,10,42,8,2,10,54,9,1,10,30,8,5,10,1,8,2,10,4,9,2,10,3,8,2,10,2,8,3,10,4,8,1,10,7,8,1,18,1,8,1,10,7,8,2,10,8,9,1,10,50,8,11,10,11,8,4,10,7,9,1,18,1,4,391,18,3,8,7,10,5,8,5,10,16,8,1,10,4,8,6,10,12,8,5,10,4,8,22,18,2,8,22,15,1,8,10,10,3,8,4,10,2,8,31,18,1,8,6,10,2,8,14,10,2,8,2,10,34,8,1,10,62,8,4,10,3,8,2,18,1,15,2,8,2,10,2,8,2,18,1,8,6,10,3,8,1,18,2,8,2,10,3,8,15,18,1,8,9,10,8,8,14,18,1,8,2,10,16,8,3,10,10,8,3,10,11,4,6,18,1,4,12,10,4,4,9,19,17,4,25,19,9,4,535,},
{4,708,19,4,4,8,19,12,4,6,10,2,8,5,10,5,18,2,3,1,18,1,10,1,9,2,8,1,10,3,8,3,10,2,8,4,3,5,18,1,10,4,8,2,10,3,8,3,10,2,8,4,10,2,8,5,10,6,8,2,10,2,8,2,18,1,10,4,18,2,10,1,3,1,16,3,3,1,10,1,9,1,10,1,3,1,16,2,3,1,10,2,18,3,10,3,18,1,10,16,18,2,8,1,10,5,8,1,18,1,10,9,18,1,10,30,18,2,10,3,8,2,18,1,8,1,10,3,18,2,10,6,18,2,10,114,8,1,10,1,8,13,10,96,8,2,10,6,8,4,10,42,8,7,10,28,8,1,10,34,8,7,10,2,8,13,10,15,8,7,10,110,8,1,10,3,8,2,10,13,8,1,9,1,10,14,18,1,8,1,10,7,8,1,10,34,8,1,10,25,8,13,10,8,8,5,10,10,4,391,18,3,10,3,8,4,10,5,8,4,10,16,8,2,10,3,8,6,10,12,8,6,10,3,8,28,10,2,8,11,10,1,8,15,10,2,8,51,18,1,8,10,10,1,8,2,10,98,8,3,10,4,8,9,15,2,8,6,10,4,8,3,10,1,8,2,10,2,8,24,10,7,8,18,10,17,8,2,10,10,8,3,10,17,18,2,4,6,18,2,10,10,18,2,10,2,4,4,19,15,4,2,10,13,4,10,19,9,4,535,},
{4,707,19,5,4,8,19,12,4,6,10,1,8,5,10,7,8,1,18,1,10,1,9,1,18,1,9,1,10,4,8,4,10,1,8,2,10,1,18,1,3,1,16,3,3,1,18,2,10,1,8,1,10,1,8,5,10,7,8,2,10,4,8,3,10,6,8,2,10,2,8,1,18,2,10,4,18,1,10,1,18,1,3,1,16,2,3,1,10,1,18,3,3,1,16,1,3,1,18,1,10,3,18,1,10,4,18,3,10,10,8,1,10,3,3,3,18,1,10,4,8,3,10,38,18,3,10,3,8,3,10,3,18,3,10,122,8,5,10,2,8,8,10,97,8,1,10,52,8,2,18,2,8,3,10,2,8,2,10,36,8,2,10,19,8,9,10,2,8,7,10,19,8,11,10,113,8,1,10,8,9,1,10,3,9,1,10,16,8,2,10,41,8,2,10,26,8,12,10,8,8,5,10,10,4,394,10,3,8,4,10,3,8,6,10,15,8,4,10,3,8,2,10,16,8,6,10,2,8,1,10,3,8,23,10,4,8,10,10,2,8,41,18,2,8,3,10,3,8,18,18,1,8,14,10,99,8,2,10,4,8,8,18,1,8,7,10,8,8,2,10,2,8,14,10,4,8,6,10,2,8,2,10,2,8,17,10,32,8,2,10,19,4,6,18,1,9,1,10,10,18,2,10,4,4,3,19,14,4,2,10,14,9,1,4,8,19,9,4,535,},
{4,707,19,4,4,9,19,12,4,6,10,1,8,4,10,3,8,1,18,2,10,4,8,1,9,2,10,5,8,7,10,1,3,1,16,5,3,2,18,2,10,2,8,4,10,14,8,3,10,10,8,3,10,3,18,1,10,1,18,1,3,1,16,2,18,3,10,1,18,1,3,3,10,1,18,1,10,8,18,1,10,11,8,1,10,3,3,1,16,1,3,1,14,1,18,1,10,4,8,2,10,37,18,4,10,4,8,1,10,4,18,4,10,22,8,1,10,97,8,5,10,3,8,9,10,97,8,3,10,49,8,7,10,2,8,2,10,12,8,1,10,23,8,1,10,21,8,8,10,2,8,6,10,8,8,3,10,4,8,1,10,8,8,7,10,30,8,1,10,51,8,1,10,35,9,1,10,2,8,2,10,2,9,1,8,1,10,13,9,1,10,1,9,1,18,2,8,1,10,17,9,1,10,51,8,11,10,7,8,7,10,9,4,395,18,2,8,2,10,4,8,5,10,17,8,5,10,21,8,6,10,5,8,24,10,1,8,4,18,2,8,6,10,1,8,47,10,3,8,18,18,1,8,17,10,96,8,2,10,5,8,10,18,1,8,4,10,7,8,4,10,1,8,13,10,5,8,29,10,24,8,3,10,5,8,3,10,13,8,2,10,8,18,1,8,1,10,11,8,1,18,1,10,4,4,2,19,15,4,2,10,13,8,1,10,1,18,1,10,1,18,2,4,2,19,11,4,535,},
{4,706,19,4,4,11,19,11,4,6,8,4,10,4,8,1,18,2,10,2,8,4,10,7,8,5,10,1,18,1,3,1,16,5,3,2,18,2,10,4,8,2,10,9,8,2,10,2,8,7,10,9,8,1,10,3,18,1,10,1,18,1,3,1,16,1,3,1,10,2,18,1,10,1,18,3,10,2,18,1,10,24,3,4,18,1,8,1,10,3,8,2,10,36,18,4,10,10,18,4,10,10,18,1,10,11,8,1,10,97,8,5,10,5,8,9,10,46,8,2,10,47,8,4,10,44,8,4,10,3,8,3,10,1,8,1,10,1,8,1,10,12,8,3,10,33,8,4,10,8,8,15,10,7,8,11,10,8,8,5,10,82,9,1,10,34,9,1,8,1,10,2,8,2,10,3,9,1,10,4,9,1,8,1,10,7,8,1,10,2,8,3,9,1,10,10,9,2,10,58,8,10,10,5,8,9,10,8,4,395,18,4,10,4,8,4,10,18,8,6,10,6,8,1,10,13,8,6,10,9,8,4,10,3,8,18,18,1,8,55,10,1,8,20,18,1,8,18,10,95,8,4,10,2,8,8,10,1,8,1,18,1,15,1,18,1,8,3,10,7,8,18,10,6,8,28,10,24,8,3,10,2,8,2,10,2,8,2,10,13,8,2,10,6,8,1,18,2,8,1,10,6,8,1,10,4,8,2,10,4,4,18,10,14,8,1,10,4,4,2,19,11,4,536,},
{4,722,19,12,4,4,8,4,10,5,18,1,10,2,8,4,10,13,18,1,3,1,16,5,3,4,8,1,10,5,8,1,10,3,8,2,10,3,8,4,10,1,8,8,10,8,8,1,10,3,18,1,10,2,18,1,3,1,18,1,10,1,18,1,10,6,18,1,10,23,18,1,10,1,18,1,3,1,14,1,18,2,10,3,8,3,10,50,18,4,10,10,18,1,10,11,8,1,10,96,8,6,10,5,8,9,10,45,8,3,10,48,8,3,10,44,8,4,10,22,8,3,10,29,8,9,10,7,8,14,10,7,8,12,10,8,8,5,10,76,9,1,10,40,8,2,10,12,9,2,10,10,8,3,10,12,8,1,9,1,10,10,9,1,8,1,10,7,9,2,10,38,8,9,10,4,8,3,9,1,10,1,8,5,10,1,8,2,10,4,4,5,19,4,4,386,18,3,4,1,18,1,8,7,10,20,8,4,10,6,8,2,10,13,8,6,10,10,8,2,10,3,8,82,10,1,8,12,18,2,8,18,10,94,8,10,18,1,8,3,10,2,18,1,15,1,8,4,10,2,8,4,10,1,8,18,10,6,8,12,10,3,8,15,10,21,8,2,18,1,8,1,10,2,8,2,10,2,8,2,10,20,18,4,10,7,8,1,10,18,4,2,10,4,4,1,18,3,8,3,10,15,4,3,19,11,4,536,},
{4,723,19,11,4,4,8,2,10,10,8,3,10,10,18,3,3,3,16,4,3,2,18,1,3,1,18,1,10,10,8,2,10,1,8,1,18,1,8,2,10,3,8,8,10,4,8,2,10,2,8,1,10,10,18,1,10,5,18,2,10,3,18,2,10,21,18,1,8,2,10,58,18,3,10,22,8,1,10,30,8,2,10,43,8,2,10,19,8,6,10,6,8,2,10,2,8,4,10,45,8,3,10,48,8,3,10,44,8,1,18,1,8,2,10,53,8,11,10,7,8,13,10,6,8,6,10,3,8,4,10,8,8,4,10,118,9,1,8,1,10,13,9,1,10,11,8,1,10,13,9,2,10,10,8,2,10,7,8,1,9,1,10,42,8,6,10,3,8,3,10,3,8,6,10,5,4,4,19,6,4,390,18,2,8,6,10,19,8,3,10,7,8,2,10,13,8,6,10,5,8,1,10,10,8,69,10,1,8,11,10,1,8,11,18,3,8,18,10,93,8,10,18,1,15,2,8,2,10,2,8,1,18,1,8,4,10,1,8,5,10,2,8,2,10,3,8,12,10,5,8,5,10,1,8,7,10,4,8,15,10,11,8,3,10,6,8,1,18,2,8,1,10,2,8,2,10,2,8,2,10,9,8,1,10,9,8,1,18,3,8,1,10,7,8,1,10,24,9,1,18,2,8,9,10,10,4,2,19,12,4,536,},
{4,672,19,5,4,47,19,10,4,3,18,1,9,1,10,5,8,2,10,3,8,3,10,3,8,1,10,3,18,1,10,1,18,3,3,4,16,5,3,1,18,1,10,1,18,1,10,3,8,2,10,6,8,2,10,2,18,1,8,1,10,3,8,3,10,2,8,4,10,4,8,6,18,3,10,1,18,1,10,4,18,1,10,17,18,1,8,1,10,68,8,1,10,8,18,1,10,22,8,1,10,30,8,2,10,42,8,4,10,19,8,4,10,7,8,2,10,2,8,4,10,97,8,2,10,44,8,4,10,3,8,2,10,48,8,13,10,5,8,2,10,2,8,2,9,1,8,7,10,3,8,7,10,5,8,3,10,7,8,4,10,112,8,2,10,20,9,1,8,1,9,1,10,9,8,2,10,24,8,1,10,8,9,2,10,42,8,6,10,2,8,4,10,3,8,4,10,7,4,4,19,6,4,391,18,3,8,6,10,19,8,1,10,7,8,2,10,4,8,3,10,6,8,8,10,2,8,3,10,9,8,3,10,3,8,22,18,1,8,64,18,3,8,14,18,1,8,2,10,12,8,1,10,81,8,10,18,1,15,2,18,1,8,1,10,2,8,3,10,5,8,3,10,14,8,6,10,5,8,5,10,1,8,8,10,3,8,15,10,10,8,4,10,6,8,2,18,1,8,1,10,6,8,2,10,9,8,2,10,8,8,1,18,2,8,1,10,8,8,1,10,24,8,5,10,17,4,2,19,10,4,538,},
{4,672,19,6,4,47,19,9,4,3,18,1,9,1,10,5,8,8,10,2,8,2,10,2,18,5,3,6,16,2,3,2,18,1,10,6,18,2,10,6,8,1,10,3,18,1,10,2,8,5,10,2,8,4,10,4,8,3,10,6,18,5,10,3,18,2,10,13,18,2,8,2,10,5,18,1,10,60,8,1,18,1,10,8,18,3,10,20,8,1,10,29,8,3,10,41,8,5,10,13,8,4,10,2,8,3,10,11,8,5,10,5,8,1,10,35,8,1,10,100,8,7,18,2,8,1,10,47,8,9,10,2,8,5,10,11,8,15,10,6,8,4,10,4,9,2,8,5,10,9,8,1,10,54,8,1,10,46,8,2,10,7,9,1,10,13,8,3,10,8,8,2,10,33,9,3,10,41,8,6,10,2,8,4,10,3,9,1,8,2,10,9,4,3,19,6,4,392,18,5,8,4,10,26,8,2,10,4,8,4,10,5,8,13,10,3,8,1,10,12,8,74,10,1,8,12,18,2,8,14,18,1,8,2,10,94,8,11,18,1,15,1,18,1,8,5,10,6,8,2,10,15,8,7,10,3,8,6,10,1,8,25,10,12,8,2,10,7,8,3,10,29,8,1,10,9,8,2,10,25,8,1,10,19,4,3,19,9,4,539,},
{4,672,19,6,4,50,19,6,4,3,18,1,8,2,10,4,8,8,10,6,18,5,3,8,18,2,10,3,18,1,10,3,8,2,18,2,10,3,8,1,10,4,8,1,10,1,8,6,10,2,8,4,10,4,8,3,10,3,18,1,10,2,18,3,10,1,18,1,10,2,18,3,10,12,9,1,10,1,18,1,10,7,18,1,10,8,8,2,10,14,18,1,10,29,18,1,10,5,18,2,10,9,18,3,10,1,18,1,10,17,8,1,10,28,8,4,10,40,8,5,10,14,8,5,10,1,8,3,10,10,8,5,10,6,8,2,10,33,8,2,10,11,8,1,10,5,8,4,10,78,8,3,10,2,8,2,15,1,14,2,8,1,10,47,8,7,10,6,8,5,10,9,8,15,10,7,8,3,10,4,8,7,10,7,8,12,10,8,8,2,18,1,8,2,10,79,8,2,10,6,9,1,8,2,10,12,8,3,9,1,10,6,9,1,8,2,10,19,9,2,8,1,10,55,8,6,10,2,8,4,10,4,9,2,10,10,4,2,19,6,4,394,18,4,8,4,10,25,8,2,10,3,8,6,10,4,8,8,10,2,8,3,10,2,8,3,10,2,8,2,10,7,8,73,10,3,8,11,18,1,8,17,10,24,8,1,10,69,8,13,18,2,8,5,10,2,8,1,10,16,8,12,10,1,8,7,10,1,8,4,10,1,8,18,10,5,8,3,10,56,8,3,10,44,4,4,19,6,4,542,},
{4,671,19,7,4,50,19,6,4,3,18,1,8,2,10,3,8,6,10,3,8,2,10,4,18,3,3,2,18,6,10,7,18,1,10,5,3,2,8,1,10,1,8,2,10,6,8,4,10,4,8,3,10,7,8,1,10,2,18,1,3,2,10,1,18,3,10,1,18,1,10,3,18,2,10,6,18,3,10,1,9,1,18,2,10,4,8,2,10,13,8,1,10,35,18,1,10,8,18,3,10,2,18,3,10,9,18,3,10,1,18,1,10,44,8,6,10,5,8,2,10,33,8,5,10,15,8,4,10,14,8,5,10,7,8,1,10,33,8,5,10,14,8,6,10,76,8,2,10,4,18,1,14,3,8,1,10,48,8,6,10,7,8,5,10,8,8,2,10,1,8,2,18,3,8,6,10,8,8,3,10,6,8,5,10,5,8,16,9,1,8,2,10,3,8,1,18,4,10,75,8,1,10,11,8,3,9,1,10,1,8,1,10,4,8,2,10,4,8,2,10,8,9,1,8,1,10,19,9,1,18,1,8,1,10,7,8,1,10,47,8,6,10,2,8,4,10,16,4,3,19,5,4,395,18,4,8,3,10,25,8,2,10,4,8,6,10,1,8,9,10,3,8,2,10,3,8,7,10,7,8,22,10,3,8,2,10,1,8,39,10,2,8,4,10,5,8,27,10,2,8,2,10,19,8,2,10,24,8,1,10,8,8,1,10,35,8,9,10,2,8,9,10,1,8,3,10,13,8,21,10,3,8,22,10,5,8,4,10,12,8,1,10,41,8,4,10,44,4,1,19,9,4,542,},
{4,671,19,7,4,50,19,6,4,3,18,1,9,1,8,10,10,3,8,2,10,1,18,2,10,2,8,1,18,4,10,1,8,1,10,15,18,1,3,2,8,1,10,10,8,3,10,3,8,3,10,2,8,2,10,7,3,1,16,1,3,1,18,1,10,1,18,1,10,1,18,2,10,6,18,2,10,3,18,1,3,1,18,1,10,2,18,2,10,4,18,2,10,5,18,2,10,1,18,1,10,40,18,1,10,8,18,3,10,2,18,3,10,9,18,3,10,12,18,1,10,32,8,7,10,5,8,3,10,31,8,2,10,20,8,3,10,15,8,4,10,33,8,3,10,6,8,4,10,14,8,1,10,80,8,3,10,4,18,1,14,2,15,1,8,1,10,49,8,5,10,8,8,3,10,1,8,1,10,7,8,2,9,1,8,2,18,2,8,6,10,9,8,2,9,1,10,10,8,22,9,1,8,2,10,2,9,1,18,5,8,1,10,74,8,2,10,5,8,1,10,3,8,7,10,4,8,2,10,36,9,1,10,57,8,5,10,2,8,4,9,1,10,15,4,3,19,5,4,390,19,3,4,4,18,2,8,3,10,6,8,1,10,18,8,2,10,5,8,8,10,2,8,4,10,9,8,7,10,6,8,17,10,13,8,39,10,1,8,4,10,6,8,26,10,2,8,3,10,44,8,1,10,8,8,1,10,38,8,6,10,2,8,13,10,9,8,1,10,1,8,16,10,4,8,3,10,4,8,21,10,5,8,4,10,11,8,2,10,15,9,1,10,24,8,5,10,10,8,2,10,32,4,1,19,9,4,542,},
{4,671,19,6,4,51,19,6,4,4,10,2,8,4,10,2,8,3,10,3,8,2,10,1,18,1,8,1,10,3,18,3,10,1,8,4,18,1,10,4,18,2,9,1,10,4,18,1,3,3,18,1,10,11,8,2,10,2,8,3,10,3,8,3,10,6,3,1,16,2,18,1,10,1,18,3,10,7,18,2,10,3,18,1,3,2,18,1,10,1,18,2,10,3,8,1,18,2,8,1,10,4,18,3,10,41,18,1,10,9,18,2,10,2,18,3,10,9,18,3,10,12,18,1,10,31,8,8,10,6,8,1,10,30,8,4,10,20,8,3,10,8,8,2,10,6,8,1,10,30,8,1,10,3,8,4,10,7,8,3,10,96,8,1,10,4,8,2,15,1,18,1,8,1,10,51,8,5,10,6,8,7,10,2,8,2,10,1,8,4,9,1,8,8,10,10,8,2,9,3,10,10,8,18,10,3,9,2,10,3,18,5,8,1,9,2,10,72,8,2,10,5,8,2,10,2,8,2,10,2,8,2,10,5,8,2,10,53,9,5,10,38,8,5,10,3,9,1,8,2,9,2,10,12,4,4,19,3,4,391,19,4,4,4,18,2,8,1,10,6,8,2,10,14,8,9,10,5,8,6,10,3,8,2,10,5,8,1,10,4,8,2,10,10,8,16,10,13,8,20,10,3,8,22,10,7,8,24,10,3,8,3,10,86,8,1,10,7,8,4,10,2,8,12,10,13,8,15,10,5,8,1,10,6,8,20,10,15,8,1,10,4,9,1,8,1,9,1,10,40,8,3,10,16,8,1,10,27,4,2,19,9,4,542,},
{4,671,19,5,4,52,19,6,4,4,18,1,10,2,8,3,10,3,8,4,10,12,8,5,18,1,10,2,18,2,3,1,18,2,10,4,3,1,16,1,3,2,18,1,10,6,8,1,10,2,18,1,8,1,10,1,18,1,8,5,10,3,8,3,10,3,8,1,10,2,3,1,16,1,3,1,18,1,10,14,18,2,10,1,18,1,3,1,18,1,10,6,8,3,18,1,10,13,8,2,10,14,8,1,10,25,8,1,10,2,18,2,10,2,18,2,8,1,10,9,18,3,10,43,8,5,10,1,8,2,10,38,8,2,10,1,8,1,10,18,8,6,10,6,8,4,10,35,8,2,10,4,8,2,10,8,8,3,10,100,8,5,10,4,8,2,10,33,8,2,10,13,8,3,10,6,8,7,9,1,8,8,10,1,8,2,10,2,8,2,9,1,10,11,8,4,9,2,10,10,8,2,10,3,8,11,10,9,9,1,18,4,8,2,18,1,8,1,10,71,8,2,10,5,8,2,10,2,8,1,10,11,8,1,10,53,9,5,10,6,9,1,10,32,8,4,10,4,8,4,9,3,8,2,10,7,4,398,19,5,4,3,18,2,8,1,10,6,8,2,10,14,8,9,10,5,8,5,10,5,8,3,10,2,8,4,10,14,8,16,10,7,8,10,15,1,8,14,10,4,8,4,10,2,8,16,10,6,8,25,10,2,8,2,18,1,8,1,10,10,8,1,10,15,8,1,10,70,8,14,10,5,8,3,10,7,8,15,10,4,8,2,10,5,8,10,10,1,8,7,10,1,8,3,10,11,8,3,10,4,8,1,18,1,9,1,10,3,9,1,10,19,8,1,10,17,8,2,10,16,8,1,10,25,4,3,19,10,4,542,},
{4,671,19,4,4,44,19,1,4,5,19,8,4,4,18,2,10,2,8,3,10,3,8,4,10,11,8,2,10,6,18,1,3,3,18,1,10,5,3,3,18,1,10,7,8,1,18,2,8,1,10,2,8,1,18,2,8,2,10,4,8,3,10,3,8,1,10,2,18,1,3,2,8,1,10,5,18,2,10,4,18,2,10,1,18,2,10,1,18,4,10,4,8,4,18,2,10,12,8,2,10,14,8,1,10,5,18,2,10,22,18,1,10,2,18,1,8,1,10,10,18,1,10,4,18,2,10,2,18,1,10,37,8,7,10,36,8,5,10,17,8,6,10,8,8,2,10,11,8,3,10,24,8,1,10,3,8,3,10,8,8,3,10,100,8,4,10,5,8,1,10,28,8,2,10,21,8,1,10,5,8,14,18,1,8,2,10,18,8,7,9,1,10,9,8,1,10,5,8,6,18,1,8,2,10,6,8,1,10,4,8,1,18,3,8,2,18,1,9,1,10,78,8,2,10,26,8,1,10,28,9,1,8,2,10,20,9,2,10,41,8,8,10,7,4,24,19,3,4,371,19,6,4,3,18,2,10,5,8,2,10,15,8,9,10,5,8,5,10,5,8,3,10,1,8,3,10,16,8,15,10,8,8,25,10,3,8,5,10,2,8,4,10,2,8,11,10,5,8,25,10,3,8,3,10,4,8,1,10,20,8,2,10,72,8,11,10,5,8,5,10,6,8,15,10,12,8,2,10,2,8,4,10,2,8,6,10,2,8,3,10,11,8,3,10,5,8,1,10,4,8,2,10,17,8,2,10,23,8,1,10,11,8,1,10,24,4,4,19,10,4,542,},
{4,667,19,5,4,8,19,5,4,33,19,12,4,8,18,1,10,3,8,3,10,2,8,3,10,14,18,3,10,1,8,2,18,1,3,3,18,1,10,1,8,3,10,1,18,3,10,2,18,1,10,6,18,2,10,4,18,1,8,2,10,22,8,1,10,6,18,2,8,1,10,4,18,2,8,1,10,6,8,1,18,2,10,35,18,1,10,10,18,1,10,5,18,2,10,8,8,1,10,9,18,2,10,4,18,1,10,4,18,2,10,39,8,3,10,35,8,5,10,18,8,6,10,7,8,2,10,12,8,1,18,2,8,1,10,27,8,5,10,7,8,3,10,19,8,4,10,77,8,4,10,34,8,3,10,27,8,15,10,5,8,2,10,12,8,9,10,16,8,2,18,2,8,2,9,1,10,4,8,4,10,3,9,1,18,4,8,1,10,18,18,2,10,38,9,1,10,21,8,3,10,54,18,3,9,1,10,45,8,4,10,16,9,1,8,4,10,7,4,15,19,13,4,371,19,5,4,4,18,2,10,4,8,2,10,17,8,4,10,7,8,5,10,10,9,1,8,2,10,3,9,2,10,11,8,14,10,11,8,36,10,4,8,11,10,5,8,25,10,3,8,2,10,25,8,2,10,74,8,9,10,1,8,9,10,4,8,1,10,1,8,3,10,3,8,5,10,3,8,4,10,4,8,3,10,3,8,1,10,7,8,6,10,3,8,4,10,10,8,3,10,11,8,1,10,18,8,2,10,34,8,1,10,24,4,8,19,5,4,7,19,3,4,533,},
{4,666,19,6,4,1,10,4,4,3,19,6,4,32,19,12,4,9,10,3,8,8,10,9,18,2,10,3,18,1,3,2,18,1,8,2,18,1,3,2,18,1,10,1,8,4,10,5,18,1,10,2,8,2,10,2,8,1,18,2,10,11,8,1,10,8,8,4,10,6,8,6,18,1,8,1,10,2,8,1,10,3,8,1,10,3,8,1,10,12,8,5,10,24,18,1,10,9,18,3,10,4,18,1,10,18,18,1,10,6,18,1,10,4,8,2,10,1,8,2,10,36,8,3,10,31,8,1,10,3,8,4,10,19,8,5,10,8,8,3,10,10,8,1,18,3,8,1,10,26,8,7,10,7,8,2,10,18,8,5,10,76,8,7,10,32,8,4,10,24,8,1,10,1,8,8,10,3,8,3,10,6,8,2,10,16,8,4,10,17,8,3,9,2,10,5,8,6,10,2,9,1,18,4,9,1,10,18,18,1,10,11,8,1,10,26,9,1,8,1,10,22,8,2,10,54,18,3,9,1,10,44,8,5,10,16,8,4,10,8,18,1,4,13,19,14,4,373,19,2,4,6,18,1,8,1,10,2,8,2,9,1,10,17,8,4,10,5,8,5,10,13,8,2,10,3,8,1,9,1,10,4,9,1,10,11,8,8,10,10,8,37,10,4,8,12,10,5,8,18,10,2,8,5,10,36,8,1,10,62,8,1,10,6,8,7,10,3,8,9,10,4,8,1,10,1,8,2,10,4,8,5,10,4,8,3,10,3,8,5,10,2,8,1,10,6,8,6,9,2,10,1,8,6,10,1,8,1,10,7,8,3,10,30,8,2,10,29,8,2,10,28,4,20,19,4,4,532,},
{4,665,19,7,4,1,10,5,4,2,19,7,4,31,19,19,4,2,10,1,18,1,10,2,8,7,10,4,18,2,10,2,18,1,3,1,18,2,10,2,18,1,3,3,8,2,18,3,10,2,8,1,10,10,18,8,10,6,8,1,10,4,8,4,10,4,8,7,10,5,8,2,18,2,8,2,10,3,8,1,10,3,8,1,10,2,8,1,10,4,18,2,10,3,8,7,10,3,8,2,10,21,18,1,10,10,18,1,10,1,18,1,10,10,18,1,10,18,18,1,10,5,8,1,10,1,8,1,10,36,8,3,10,31,8,2,10,30,8,1,10,7,8,4,10,7,8,6,10,3,8,2,10,23,8,7,10,7,8,1,10,102,8,4,10,33,8,4,10,24,8,8,10,5,8,3,10,24,8,1,10,19,8,3,9,1,10,6,9,1,8,6,10,2,9,1,18,3,8,1,9,1,10,139,9,3,10,37,8,1,10,5,8,5,10,10,8,7,10,10,9,1,10,8,4,6,19,14,4,381,18,1,8,5,10,17,8,7,10,5,8,5,10,11,8,2,10,2,8,3,10,4,9,1,8,3,10,8,8,6,10,8,8,40,10,5,8,13,10,3,8,18,10,5,8,4,10,13,8,2,10,84,8,1,10,6,8,7,10,4,8,7,10,11,8,4,18,2,8,1,10,3,8,3,10,3,8,8,10,7,8,1,9,1,8,16,10,1,8,1,10,3,8,2,10,31,8,2,10,29,8,2,10,28,4,11,10,7,4,2,19,7,4,529,},
{4,664,19,8,4,1,10,5,4,2,19,8,4,30,19,19,4,1,9,1,10,4,8,7,10,4,18,2,10,2,3,2,18,1,10,2,18,1,3,2,16,1,3,1,10,1,8,1,18,2,10,2,8,2,10,10,18,1,3,5,8,1,10,1,18,2,10,1,18,1,10,2,8,2,10,4,8,3,10,4,8,7,10,5,8,1,18,3,10,9,8,1,10,2,8,1,10,5,18,1,10,3,8,2,18,1,8,3,10,4,8,3,10,19,18,2,10,10,18,2,10,10,18,2,10,17,18,3,10,15,8,4,10,24,8,3,10,6,8,1,10,24,8,3,10,7,8,4,10,26,8,4,10,6,8,6,10,4,8,1,10,24,8,8,10,145,8,4,10,26,8,5,10,7,8,2,10,44,8,3,10,8,18,1,8,9,9,2,10,3,9,1,10,140,9,2,10,36,8,2,10,4,8,4,10,5,8,3,10,3,8,7,10,19,4,6,19,10,4,385,18,3,8,2,10,2,8,3,9,1,10,12,8,7,10,6,8,5,10,10,8,2,10,2,8,2,9,1,10,4,8,4,10,7,8,7,10,4,8,43,10,5,8,34,10,5,8,6,10,12,8,2,10,92,8,7,10,4,8,5,10,12,8,4,18,2,8,1,10,3,8,3,10,3,8,9,10,2,8,28,10,28,8,1,10,4,8,1,10,59,4,10,10,5,8,2,10,1,4,2,19,9,4,11,19,7,4,509,},
{4,664,19,7,4,2,10,1,8,1,10,3,4,2,19,8,4,30,19,9,4,1,19,9,4,1,10,1,8,1,10,1,8,6,10,3,8,2,10,2,18,5,10,3,18,1,3,2,16,3,10,1,8,1,18,2,10,8,18,2,8,1,10,2,18,2,3,5,10,2,3,1,18,1,10,1,18,1,10,1,8,5,10,2,8,2,10,5,8,6,10,7,8,1,18,2,10,12,8,1,10,11,8,4,10,4,8,3,10,9,18,4,10,6,18,2,10,4,18,1,10,16,18,2,10,7,18,1,10,12,18,1,10,15,8,5,10,23,8,2,10,6,8,2,10,23,8,7,10,3,8,7,10,17,8,2,10,6,8,2,10,8,8,4,10,30,8,9,10,144,8,4,10,30,8,1,10,7,8,2,10,34,8,3,10,4,8,6,10,7,9,1,18,2,8,3,10,1,8,2,18,2,9,1,10,4,9,1,10,141,9,1,10,36,8,2,10,13,8,3,10,4,8,5,10,20,4,6,19,9,4,7,18,2,10,1,18,1,4,375,18,4,8,1,9,1,10,1,8,1,18,1,8,1,9,1,10,2,9,1,10,9,8,7,10,6,8,6,10,9,9,1,8,1,10,2,8,2,9,1,10,4,8,4,10,6,8,8,10,2,8,45,10,3,8,9,10,3,8,23,10,5,8,7,10,37,8,2,10,69,8,4,10,5,8,5,10,13,8,1,10,1,8,1,18,2,8,1,10,3,8,4,10,2,8,9,10,2,8,10,18,3,8,4,18,2,8,5,10,1,8,4,10,92,4,10,10,5,8,2,18,1,4,3,19,9,4,8,19,10,4,508,},
{4,664,19,7,4,2,10,1,8,3,10,1,4,3,19,7,4,31,19,6,4,3,19,9,4,1,9,1,8,8,10,8,8,1,18,2,10,2,18,1,10,1,3,4,16,1,3,1,18,2,3,2,18,1,10,3,8,2,10,1,8,1,18,1,8,1,10,2,8,1,18,4,3,3,10,2,3,1,18,1,10,1,18,1,10,2,8,5,10,1,8,1,10,4,8,1,10,2,8,5,10,2,8,2,10,3,8,2,10,13,8,1,10,11,8,4,10,4,8,2,10,2,18,2,10,6,18,3,10,6,18,3,10,21,18,1,10,8,18,2,10,11,18,1,10,15,8,6,10,22,8,1,10,7,8,1,10,27,8,13,10,8,8,3,10,7,8,1,10,19,8,1,10,31,8,10,10,100,8,1,10,39,8,7,10,37,8,4,10,33,8,3,10,3,8,6,10,3,18,3,10,2,9,1,18,2,8,2,10,2,8,2,18,2,9,1,10,24,4,1,10,1,4,1,10,2,18,1,4,1,10,11,8,1,10,12,8,2,10,72,8,1,10,53,8,5,10,9,8,4,10,29,4,21,10,6,4,375,18,4,9,2,8,1,18,1,8,2,10,2,8,2,10,21,8,10,10,15,9,1,8,2,10,6,8,57,10,3,8,9,10,4,8,6,10,4,8,12,10,3,8,9,10,115,8,6,10,7,8,1,10,9,8,1,18,1,8,1,10,2,8,15,10,3,8,10,18,3,8,4,18,2,8,5,10,1,8,4,10,92,4,10,10,5,8,3,18,1,4,2,19,9,4,8,19,10,4,508,},
{4,663,19,7,4,2,10,1,8,4,10,1,8,1,10,1,4,2,19,6,4,39,19,10,4,2,10,5,8,3,10,2,18,1,10,1,18,3,10,2,18,2,10,3,18,1,3,8,16,2,3,1,18,1,10,1,8,4,10,3,18,4,10,3,8,1,18,2,10,2,18,2,10,1,18,1,10,2,8,5,10,6,8,1,10,2,8,4,10,3,8,2,10,2,8,2,10,15,8,1,10,2,8,1,10,1,18,1,10,7,8,5,10,22,18,3,10,14,18,5,10,2,18,1,10,7,18,3,10,9,18,1,10,1,18,2,10,17,8,5,10,24,8,2,10,30,8,12,10,8,8,6,10,19,8,1,10,37,8,4,10,2,8,4,10,99,8,4,10,20,8,3,10,13,8,5,10,39,8,10,10,31,8,8,10,4,18,3,10,2,18,2,8,2,10,3,8,2,18,2,10,21,4,20,10,14,8,3,10,7,9,2,10,62,8,3,10,26,9,1,10,27,8,3,9,1,8,1,10,47,4,9,10,12,4,376,18,3,9,1,8,3,9,1,10,2,8,2,10,20,8,12,10,13,9,1,8,2,10,6,8,58,10,3,8,10,10,5,8,3,10,5,8,29,10,5,8,1,10,102,8,6,10,7,8,4,10,8,8,2,10,2,8,17,10,1,8,18,18,1,8,6,10,1,8,4,10,2,8,3,10,102,8,2,10,2,4,2,19,27,4,7,19,4,4,1,19,1,4,495,},
{4,663,19,6,4,3,10,6,8,2,4,3,19,4,4,8,19,3,4,28,19,11,4,2,10,3,18,1,10,2,8,2,10,1,18,4,3,1,18,2,8,1,18,2,10,3,3,4,18,3,3,5,18,1,10,1,8,3,10,2,8,1,18,2,3,1,18,2,10,11,18,1,10,2,8,2,10,2,8,2,10,4,8,2,10,2,8,5,10,6,8,1,10,16,8,1,10,3,18,2,10,10,8,3,10,21,18,3,10,14,18,5,10,10,18,3,10,9,18,1,10,1,18,3,10,17,8,5,10,22,8,2,10,31,8,9,10,10,8,7,10,17,8,4,10,4,8,1,10,31,8,3,10,3,8,4,10,87,8,1,10,11,8,4,10,19,8,5,10,11,8,6,10,23,8,3,10,6,8,2,10,5,8,4,10,2,8,4,10,6,8,3,10,14,8,1,10,7,8,8,10,4,18,2,10,3,18,2,8,2,10,3,8,3,9,1,10,21,4,2,19,14,4,4,10,24,8,1,18,1,9,1,10,61,8,3,10,26,9,1,10,27,8,6,10,67,4,377,18,3,8,1,9,1,10,3,8,3,10,7,8,4,10,9,8,12,10,12,9,1,8,3,10,4,8,60,10,3,8,13,10,2,8,3,10,5,8,26,18,2,8,1,10,4,8,1,18,1,8,1,10,101,8,5,10,4,8,4,10,1,8,3,10,8,8,3,10,1,8,17,10,1,8,25,10,1,8,13,10,19,8,1,10,83,4,2,19,22,4,1,19,3,4,6,19,8,4,494,},
{4,662,19,6,4,4,10,7,9,1,18,1,4,9,19,10,4,26,19,11,4,2,10,3,18,2,10,4,18,6,3,3,18,2,10,2,18,1,3,3,18,5,10,5,8,1,10,3,18,2,3,2,18,2,8,1,10,1,18,2,10,11,8,2,10,2,8,2,10,1,8,1,10,1,8,2,10,3,8,3,18,2,8,1,10,11,18,1,8,1,10,1,8,2,10,21,18,2,10,12,18,1,10,10,18,2,10,14,18,3,10,10,18,1,10,3,18,1,10,11,18,4,10,7,8,2,10,8,8,5,10,14,8,3,10,4,8,2,10,33,8,5,10,14,8,5,10,11,8,2,10,5,8,4,10,1,8,4,10,2,8,2,10,5,8,1,10,21,8,4,10,2,8,4,10,26,8,1,10,1,8,1,10,57,8,2,10,11,8,3,10,13,8,2,10,5,8,6,10,10,8,6,10,23,8,3,10,5,8,4,10,4,8,3,10,4,8,2,10,7,8,3,10,23,8,2,10,1,8,2,18,1,8,1,10,8,9,1,18,1,8,2,10,29,4,2,19,14,4,4,10,24,18,2,9,1,10,61,8,2,10,18,9,1,10,37,8,5,10,67,4,4,19,3,4,370,18,3,9,1,10,4,8,3,10,6,8,7,10,6,8,14,10,1,8,1,10,9,8,4,10,4,8,25,18,2,8,33,10,5,8,11,10,2,8,3,10,5,8,26,18,2,8,1,10,4,8,1,18,2,8,1,10,102,8,1,10,4,8,5,10,13,8,48,10,3,8,11,10,18,8,1,10,73,18,3,10,7,4,5,19,18,4,11,19,8,4,494,},
{4,662,19,6,4,4,10,9,18,1,4,8,19,10,4,26,19,10,4,3,10,3,18,3,10,4,18,3,10,1,18,1,3,3,18,5,3,4,18,2,10,2,18,3,8,3,10,2,18,2,3,2,18,3,10,1,18,3,10,5,18,1,9,1,10,4,8,2,10,2,8,2,18,2,10,1,8,3,10,2,8,4,18,2,8,1,10,10,18,1,10,24,18,3,10,12,18,3,10,3,18,3,10,2,18,2,10,14,18,2,10,11,18,1,10,8,18,2,10,6,18,3,10,7,8,2,10,10,8,3,10,14,8,4,10,2,8,3,10,37,8,1,10,14,8,3,10,13,8,1,10,5,8,4,10,1,8,2,18,2,8,1,10,2,8,2,10,27,8,9,10,27,8,4,10,55,8,3,10,11,8,2,10,15,8,1,10,5,8,7,10,10,8,4,10,24,8,2,10,5,8,5,10,4,8,2,10,15,8,1,10,28,8,1,18,2,8,1,10,6,8,1,18,2,8,1,10,15,9,1,10,14,4,2,19,14,4,5,10,23,18,2,9,1,10,6,9,2,8,1,10,73,9,1,10,36,8,6,10,67,4,3,19,4,4,369,18,3,9,1,10,3,8,2,10,9,8,7,10,4,8,14,10,2,8,1,10,8,8,2,18,1,8,1,9,1,10,3,8,26,18,1,15,1,18,1,8,33,10,6,8,5,18,2,8,2,10,2,8,3,10,4,8,6,10,1,8,20,18,1,8,2,10,5,18,3,8,1,10,14,8,2,10,89,8,6,10,14,8,41,18,1,8,5,10,3,8,11,10,18,8,1,10,58,18,2,10,7,18,1,10,5,18,3,10,8,4,6,19,13,4,14,19,8,4,494,},
{4,662,19,6,4,2,10,17,4,3,19,13,4,23,19,10,4,2,10,2,8,1,10,1,18,3,10,9,3,3,18,3,3,3,16,1,3,3,18,3,9,1,18,2,8,4,10,2,18,2,3,1,18,1,4,5,10,12,8,1,10,3,8,2,18,1,3,1,8,4,10,6,18,1,8,1,18,1,10,10,18,1,10,4,8,1,10,33,18,4,10,3,18,3,10,2,18,1,10,3,8,1,10,11,18,2,10,13,18,1,10,5,18,5,10,4,18,3,10,7,8,1,10,5,8,2,10,21,8,9,10,27,8,1,10,8,8,2,10,13,8,4,10,18,8,7,18,3,8,1,10,3,8,1,10,27,8,9,10,28,8,2,10,56,8,3,10,31,8,6,10,3,8,2,10,44,8,5,10,4,8,2,10,36,8,4,10,4,8,1,18,2,8,1,10,4,8,1,18,4,10,14,9,3,8,1,10,13,4,2,19,17,4,3,10,22,8,1,18,1,10,5,9,3,8,2,10,33,8,1,10,77,8,6,10,66,18,1,4,2,19,4,4,370,18,3,10,3,8,2,10,9,8,8,10,2,8,15,10,2,9,1,10,8,8,1,18,2,8,1,10,1,8,67,10,5,8,14,10,3,8,6,10,1,8,23,10,6,8,3,10,14,8,2,10,89,8,5,10,15,8,41,15,2,8,4,10,4,8,5,10,2,8,3,10,5,8,1,10,12,8,1,10,13,8,1,10,15,8,3,10,26,18,2,10,13,18,3,10,12,4,5,19,8,4,6,10,1,4,9,19,8,4,494,},
{4,662,19,6,4,2,8,3,10,15,4,2,19,14,4,22,19,10,4,2,10,5,18,2,10,9,18,1,3,3,18,2,3,9,18,1,9,1,18,1,9,1,8,4,10,2,18,3,4,6,10,1,8,1,18,2,8,1,10,10,8,2,10,1,3,2,18,1,10,1,8,3,10,2,18,2,10,1,8,2,18,1,10,2,8,1,10,3,18,1,10,8,8,1,18,3,10,29,18,6,10,2,18,3,10,2,18,1,10,6,18,1,10,8,9,1,10,14,18,12,10,3,18,3,10,2,8,1,10,10,8,3,10,20,8,9,10,14,8,1,10,12,8,3,10,6,8,3,10,9,8,6,10,19,8,2,18,2,8,3,18,2,8,2,10,32,8,6,10,88,8,3,10,31,8,3,10,7,8,2,10,43,8,5,10,3,8,3,10,27,8,2,10,5,8,6,10,4,8,2,18,1,8,4,18,6,10,17,8,1,10,13,4,1,19,19,4,2,10,22,8,2,10,42,8,2,10,78,8,5,10,67,4,2,19,5,4,370,18,2,9,2,8,4,10,8,8,8,10,2,8,8,10,5,8,1,10,12,8,1,18,2,8,1,10,1,8,8,10,4,8,57,10,3,8,14,10,2,8,7,10,1,8,18,10,4,8,1,10,23,8,2,10,9,8,1,18,2,8,1,10,49,8,1,10,11,8,3,10,12,8,5,10,22,8,10,10,2,8,19,18,1,8,1,18,1,15,2,8,5,10,2,8,6,10,2,8,2,10,48,8,5,10,32,18,2,10,22,4,4,19,8,4,2,10,6,4,9,19,6,4,495,},
{4,662,19,6,4,2,8,5,10,13,4,4,19,12,4,22,19,9,4,3,10,4,18,2,10,7,18,5,3,8,18,1,3,1,16,2,3,1,10,1,9,2,10,4,8,1,10,2,18,3,4,6,10,1,18,1,3,2,18,1,10,9,8,3,10,1,3,2,18,1,10,1,8,3,10,1,18,1,3,2,18,1,10,1,8,1,18,1,10,2,18,1,10,3,18,1,10,9,18,3,10,29,18,4,10,4,18,3,10,2,18,1,10,5,18,2,10,3,18,1,10,4,18,1,10,3,18,2,10,4,18,3,10,3,18,17,10,13,8,2,10,22,8,8,10,13,8,3,10,13,8,4,10,1,8,8,10,3,8,8,10,9,8,1,10,9,8,10,10,18,8,1,10,16,8,5,10,123,8,2,10,7,8,2,10,42,8,6,10,2,8,10,10,10,8,2,10,8,8,4,10,4,8,7,10,3,8,7,18,5,9,1,10,31,4,1,19,19,4,2,10,22,8,2,10,42,8,2,10,79,8,3,10,68,18,1,4,1,19,6,4,371,18,2,8,5,10,8,8,4,9,4,10,2,8,5,10,16,8,1,10,3,8,4,10,1,8,7,10,5,8,15,10,1,8,42,10,2,8,15,10,1,8,25,10,5,8,2,10,32,8,2,18,3,8,2,10,47,8,2,10,10,8,4,10,11,8,4,10,24,8,9,10,2,8,14,18,1,8,4,15,1,8,1,18,1,15,2,8,17,10,48,8,4,10,33,18,2,10,22,4,4,19,6,4,4,10,5,18,1,4,18,19,3,4,489,},
{4,662,19,6,4,1,10,1,8,7,10,13,4,5,19,9,4,22,19,7,4,5,10,12,18,2,3,12,10,1,18,1,16,2,18,1,8,1,10,5,8,2,10,1,18,1,3,1,18,2,4,6,10,1,18,3,10,10,8,2,10,1,18,1,3,2,18,1,10,1,8,2,18,1,10,1,18,1,3,2,18,1,10,1,18,1,9,1,10,2,8,1,10,3,18,1,10,2,18,1,10,7,18,1,10,25,18,2,10,11,18,1,10,10,9,1,18,1,10,3,18,2,10,7,18,2,10,4,18,2,10,3,18,8,10,1,18,7,10,16,8,1,10,24,8,6,10,4,8,2,10,6,8,5,10,13,8,22,10,20,8,6,18,1,8,2,10,18,8,2,10,16,8,4,10,156,8,2,10,5,8,3,10,10,8,6,10,1,8,12,10,9,8,2,18,1,8,1,10,7,8,25,18,1,8,6,10,30,4,4,19,16,4,2,10,22,8,2,10,125,8,1,10,68,18,1,4,1,19,6,4,371,18,3,8,4,10,4,8,3,10,6,9,3,10,4,8,2,10,16,8,2,10,3,8,4,10,1,8,5,10,7,8,75,10,1,8,14,10,1,8,9,10,6,8,3,10,32,8,2,18,4,8,1,10,46,8,2,10,11,8,4,10,12,8,2,10,25,8,2,10,2,8,3,10,4,8,40,10,58,8,3,10,24,18,1,8,1,10,23,4,13,10,5,18,1,4,6,10,4,4,6,19,6,4,488,},
{4,662,19,5,4,1,18,1,8,3,10,2,8,4,10,15,4,2,19,9,4,21,19,7,4,4,10,10,18,2,10,1,18,1,3,12,16,1,3,1,18,2,16,1,3,1,10,1,8,1,10,2,18,1,10,2,8,2,10,1,3,3,18,1,4,6,10,2,8,1,10,2,18,5,10,2,8,3,10,1,8,1,3,2,18,1,10,1,8,4,10,2,18,3,10,1,18,2,10,6,18,1,10,2,18,1,10,33,18,2,10,11,18,1,10,10,18,2,10,3,18,2,10,13,8,1,10,3,18,3,10,1,18,4,10,4,18,5,10,34,8,1,10,6,8,6,10,4,8,2,10,3,8,1,10,6,8,3,10,12,8,15,10,1,8,2,10,1,8,1,10,13,8,3,10,5,8,6,18,1,8,2,10,2,8,2,10,13,8,3,10,17,8,3,10,156,8,2,10,5,8,7,10,6,8,1,18,3,8,2,10,1,8,12,10,9,8,1,18,2,8,1,10,8,9,1,8,6,10,1,8,10,10,4,8,3,10,3,9,1,8,2,10,30,4,6,19,14,4,2,10,22,18,2,10,73,8,3,9,1,10,95,8,1,10,19,18,1,10,1,18,1,4,1,19,6,4,371,18,3,8,1,10,1,8,10,10,6,9,1,10,5,8,2,10,17,8,2,10,4,8,7,10,7,8,3,10,1,8,22,18,1,8,26,10,2,8,19,10,5,8,9,10,6,8,7,10,5,8,6,10,5,8,2,10,25,8,5,10,59,8,4,10,3,8,3,10,11,8,1,10,14,8,2,10,5,8,2,10,2,8,3,10,5,8,27,18,2,8,6,18,2,8,2,10,57,8,4,10,20,18,3,9,1,18,1,8,1,10,27,4,1,18,3,4,1,10,9,18,2,10,12,4,3,19,7,4,487,},
{4,662,19,5,4,1,9,1,8,10,10,15,4,1,19,9,4,20,19,8,4,2,10,11,18,5,3,2,18,1,3,1,16,3,3,5,16,2,3,4,10,1,8,1,10,1,8,1,10,2,8,3,10,1,3,2,18,1,10,1,18,1,4,4,10,6,18,1,10,6,8,3,10,1,18,3,10,1,8,3,10,1,8,1,10,3,18,1,10,2,18,1,9,1,10,5,18,2,10,2,18,2,10,24,18,4,10,42,18,1,10,8,18,2,10,3,18,3,10,5,18,4,10,7,8,1,10,27,8,1,10,6,8,5,10,5,8,1,10,11,8,3,10,13,8,17,10,1,8,1,10,21,8,8,10,3,8,2,10,12,8,5,10,16,8,3,10,38,8,3,10,122,8,8,10,4,8,2,18,2,8,2,10,2,8,4,10,1,8,7,10,9,18,3,8,1,10,6,8,1,10,2,8,6,10,3,8,7,10,11,9,1,18,1,8,2,10,13,18,2,10,14,4,6,19,13,4,3,10,22,8,2,10,73,8,2,9,2,10,34,8,3,10,33,8,2,10,24,8,1,10,20,18,1,4,2,19,5,4,373,18,1,8,1,10,1,8,11,10,4,9,3,10,23,8,1,10,8,8,3,10,5,8,5,10,3,8,47,10,4,8,17,10,8,8,7,10,8,8,4,10,3,8,11,10,4,8,1,10,14,8,1,10,14,8,1,10,59,8,5,10,3,8,3,10,10,8,1,10,20,8,3,10,2,8,3,10,6,8,13,15,2,8,11,18,1,15,1,8,2,10,2,8,2,18,3,8,3,10,55,8,4,10,20,18,1,10,27,18,1,10,6,18,2,10,25,4,2,19,8,4,486,},
{4,661,19,6,4,1,9,1,10,2,8,10,10,13,4,2,19,8,4,20,19,7,4,3,10,6,18,1,10,5,18,3,3,3,18,1,3,2,16,3,3,1,18,2,3,1,16,4,3,2,18,2,8,1,10,1,8,5,10,1,18,2,10,5,18,1,10,3,18,2,10,5,8,1,10,2,18,1,9,1,8,2,10,5,8,6,10,5,18,1,10,5,18,7,10,5,9,1,10,9,9,1,18,2,10,8,18,2,10,20,18,3,10,15,18,2,10,4,18,1,10,3,8,1,10,2,18,1,10,3,18,3,10,5,18,5,10,1,18,6,8,2,10,33,8,2,10,2,8,2,10,2,8,1,10,13,8,2,10,18,8,2,10,2,8,8,10,3,8,3,10,19,8,6,10,18,8,6,10,55,8,4,10,27,8,3,10,30,8,1,10,31,8,4,10,13,8,3,10,6,8,6,18,2,8,13,10,3,8,3,10,4,8,5,10,9,8,4,10,9,8,5,10,2,8,7,10,12,8,2,9,1,8,3,10,12,18,2,10,14,4,6,19,12,4,4,10,102,8,2,9,1,10,4,9,1,10,25,8,3,10,34,8,1,9,1,10,44,4,4,19,4,4,373,18,2,8,11,10,4,9,4,8,1,10,6,8,3,10,22,8,3,10,5,8,4,10,5,8,45,10,8,8,14,10,9,8,4,10,3,8,2,10,5,8,8,18,1,8,3,10,2,8,4,10,19,8,2,10,74,8,4,10,3,8,2,10,30,8,5,10,3,8,3,10,7,8,12,15,4,8,13,10,1,8,3,18,2,8,5,10,34,8,1,10,19,8,3,10,18,18,1,10,1,18,1,10,61,4,3,19,9,4,484,},
{4,660,19,7,4,1,10,3,8,6,10,1,8,3,10,12,4,3,19,8,4,20,19,7,4,3,10,6,18,1,10,2,18,6,3,3,18,2,3,1,16,3,3,1,18,2,3,1,16,4,3,4,18,1,8,4,10,3,18,2,10,2,18,2,10,1,18,1,10,2,18,1,3,1,18,2,10,2,8,1,18,2,10,2,18,1,9,1,8,1,10,3,8,5,10,2,8,2,10,3,18,1,10,6,18,8,10,5,18,1,10,9,18,3,10,9,18,1,10,21,18,2,10,15,18,1,10,1,18,1,10,3,18,2,10,2,18,1,8,1,10,1,18,1,10,3,18,2,10,6,18,3,10,4,18,5,10,33,8,3,10,3,8,2,10,2,8,2,10,38,8,6,10,3,8,4,10,17,8,6,10,20,8,4,10,40,8,3,10,6,8,3,10,4,8,4,10,26,8,3,10,2,8,1,10,60,8,4,10,12,8,4,10,6,8,6,18,2,8,1,10,1,8,5,18,1,8,2,10,4,8,5,10,4,8,4,10,23,9,2,8,1,10,4,8,7,10,6,8,2,10,3,8,3,10,2,8,2,10,12,18,2,10,13,4,7,19,12,4,4,10,20,9,2,10,22,8,2,10,27,8,1,10,28,8,3,10,3,9,2,10,26,8,2,10,34,9,2,10,44,4,4,19,4,4,373,18,3,8,7,10,7,9,3,8,12,10,21,8,3,10,5,8,4,10,6,8,45,10,1,8,2,10,4,8,14,10,10,8,2,10,4,8,2,10,5,8,4,10,1,8,3,18,2,8,2,10,3,8,3,10,19,8,1,18,1,8,1,10,73,8,4,10,3,8,2,10,30,8,6,10,3,8,15,10,4,8,2,15,6,8,10,10,2,8,10,10,33,8,3,10,10,8,2,10,26,18,1,10,2,18,1,10,43,8,1,10,17,4,5,19,7,4,484,},
{4,660,19,7,4,2,10,1,8,5,10,8,8,6,10,4,4,3,19,8,4,19,19,7,4,3,10,9,18,4,3,7,18,2,3,1,16,2,3,1,18,2,3,1,16,7,3,1,18,1,8,4,10,1,18,1,3,2,18,3,3,1,18,1,10,1,18,1,10,2,3,3,18,1,10,2,18,3,10,2,18,1,9,1,8,3,10,1,8,4,10,3,8,3,10,9,18,4,10,19,18,3,10,6,18,4,10,40,18,1,10,6,8,1,18,2,10,3,18,4,10,6,18,3,10,5,18,1,10,20,8,3,10,13,8,4,10,2,8,2,10,2,8,3,10,4,8,2,10,13,8,1,10,8,8,1,10,11,8,3,10,2,8,4,10,18,8,2,18,2,8,2,10,63,8,3,10,14,8,3,10,28,8,2,10,22,8,1,10,58,8,2,10,6,8,8,10,3,8,2,18,3,8,2,10,3,8,2,18,1,8,3,10,3,8,2,10,33,8,7,10,5,8,3,10,3,8,2,10,3,8,1,10,27,4,3,19,17,4,4,10,20,9,1,10,6,8,1,10,17,8,1,10,27,8,1,10,34,9,1,10,110,18,2,4,1,19,5,4,374,18,1,8,6,10,9,9,2,18,1,8,10,10,22,8,3,10,5,8,5,10,5,8,66,10,10,8,2,10,4,8,2,10,5,8,3,10,4,8,5,10,3,8,3,10,19,8,3,10,74,8,2,10,4,8,3,10,30,8,4,10,5,8,14,10,4,8,2,15,6,8,22,10,34,8,1,10,40,18,2,8,1,10,63,4,3,19,8,4,483,},
{4,660,19,7,4,1,9,1,8,4,10,1,8,2,10,6,8,6,10,4,4,3,19,9,4,19,19,7,4,2,10,7,18,1,10,2,18,4,3,7,18,3,3,4,18,1,3,1,16,3,3,2,16,2,3,1,8,1,18,1,9,2,8,1,10,1,3,3,18,3,3,1,18,1,10,4,3,3,10,3,18,3,10,2,18,1,9,1,10,1,8,7,10,4,8,2,10,10,18,3,10,8,18,3,10,8,18,2,10,8,18,3,10,5,18,1,10,20,18,3,10,8,18,4,10,6,18,3,10,3,18,2,10,36,8,9,10,8,8,7,10,3,8,9,10,13,8,2,10,7,8,2,18,3,8,1,10,7,8,7,10,19,8,2,18,2,8,2,10,63,8,3,10,14,8,3,10,28,8,2,10,22,8,1,10,34,8,4,10,21,8,1,10,7,8,7,10,3,8,2,18,3,8,2,10,2,8,2,18,2,8,2,10,4,8,2,10,33,8,8,10,3,8,4,10,36,4,1,19,19,4,4,10,16,9,4,10,13,8,1,10,33,8,1,10,5,8,1,10,34,9,1,10,37,8,3,10,40,9,1,10,30,18,1,4,1,19,6,4,373,18,2,8,4,10,10,9,1,8,9,10,13,8,3,10,8,8,4,10,6,8,5,10,4,8,67,10,9,8,2,10,4,8,2,10,5,8,1,10,6,8,5,10,3,8,3,10,19,8,2,10,81,8,3,10,32,8,3,10,4,8,13,10,5,8,2,18,3,15,3,8,10,10,1,8,10,10,60,8,2,10,4,18,2,10,7,18,2,10,23,8,2,10,40,4,4,19,8,4,482,},
{4,660,19,7,4,1,10,1,8,3,10,2,8,12,10,6,4,1,19,11,4,19,19,7,4,2,10,5,8,1,18,2,10,2,8,1,18,1,10,1,18,2,3,7,18,2,3,4,18,2,16,2,3,4,16,1,3,1,10,1,18,3,8,1,10,1,3,2,18,5,10,2,18,2,10,1,3,3,10,1,9,1,18,1,10,4,18,2,8,1,10,1,8,7,10,28,18,1,10,9,18,2,10,4,18,1,10,3,18,3,10,26,18,5,10,6,18,5,10,6,8,1,10,3,18,2,10,36,8,4,10,4,8,1,10,9,8,7,10,4,8,8,10,22,8,1,18,4,8,2,10,6,8,5,10,11,8,2,10,8,8,2,18,2,8,2,10,80,8,3,10,87,8,4,10,21,8,4,10,6,8,5,10,3,8,4,18,1,8,6,18,2,8,2,10,4,8,3,10,24,9,1,8,21,10,37,4,1,19,19,4,4,10,17,9,2,10,29,8,2,10,17,8,1,10,3,8,2,10,27,8,1,10,44,8,5,10,70,18,1,4,2,19,5,4,367,19,1,4,2,19,2,4,1,18,2,8,4,10,10,9,1,8,8,10,13,8,6,10,4,8,6,10,5,8,8,10,2,8,11,10,3,8,53,10,14,8,3,10,5,8,1,10,7,8,4,10,3,8,3,10,101,8,4,10,40,8,13,10,4,8,5,18,1,15,2,8,9,10,2,8,9,10,61,8,1,10,4,18,1,10,9,18,2,10,24,8,2,10,7,18,5,10,27,4,5,19,7,4,482,},
{4,661,19,6,4,1,10,1,9,1,8,2,10,2,8,11,10,6,4,2,19,10,4,20,19,6,4,3,10,4,8,3,18,1,10,3,8,1,10,2,18,1,3,7,18,2,3,2,16,1,3,1,10,1,18,1,3,1,16,1,3,1,18,1,9,1,18,1,3,2,8,1,18,2,9,1,8,1,10,1,18,1,3,1,18,1,10,3,8,1,10,2,18,2,8,1,3,1,16,1,18,1,10,1,18,2,10,5,18,1,8,3,10,3,8,2,10,24,18,2,10,23,18,3,10,29,18,2,10,8,18,5,10,7,18,2,10,7,18,2,10,27,8,3,10,17,8,7,10,3,8,6,10,8,8,2,10,14,8,2,18,3,8,2,10,7,8,3,10,22,8,3,18,1,8,2,10,80,8,3,10,23,8,1,10,1,8,1,10,62,8,2,10,23,8,5,10,4,8,3,10,2,8,2,10,3,8,4,18,1,8,8,10,4,8,4,10,21,8,23,10,37,4,2,19,18,4,5,10,47,8,3,10,12,8,1,10,4,8,1,10,2,8,2,10,26,8,4,10,42,8,5,10,58,9,3,10,10,18,1,4,2,19,5,4,366,19,6,4,2,18,2,8,3,10,4,8,2,10,5,8,7,10,13,8,18,10,7,8,5,10,3,8,6,10,9,8,42,10,2,8,7,10,12,8,3,10,15,8,5,10,2,8,3,10,60,8,2,10,39,8,4,10,44,8,11,10,2,8,7,18,1,8,9,10,2,8,7,10,70,4,4,18,3,10,27,8,3,10,5,18,7,10,27,4,6,19,5,4,482,},
{4,669,10,1,8,2,10,1,8,12,10,2,4,6,19,7,4,24,19,4,4,2,10,6,8,2,10,2,18,1,10,2,18,1,10,3,18,1,3,10,16,1,3,1,10,2,3,1,16,1,3,1,18,1,10,2,3,1,18,1,8,1,18,2,9,1,8,1,10,1,18,2,10,3,9,1,18,2,10,2,18,2,3,2,18,1,10,1,18,2,9,1,10,6,8,2,10,4,8,1,10,24,18,2,10,23,18,3,10,21,18,1,10,19,18,3,10,6,18,3,10,7,18,2,10,5,18,1,10,17,8,1,10,2,8,3,10,19,8,6,10,3,8,3,10,27,8,2,18,3,8,2,10,7,8,2,10,24,8,5,10,80,8,2,10,24,8,3,10,32,18,1,10,54,8,5,10,3,8,4,10,2,8,2,10,4,8,2,18,3,8,7,10,4,8,2,18,2,8,2,10,2,8,1,10,15,8,13,10,4,8,6,10,39,4,1,19,17,4,3,10,51,8,2,10,47,8,2,18,1,8,2,10,42,8,4,10,59,9,3,10,10,4,4,19,5,4,365,19,6,4,2,18,2,8,2,10,4,8,3,10,6,8,5,10,11,8,17,10,13,8,3,10,2,8,7,10,13,8,12,10,1,8,14,10,5,8,5,10,4,8,5,10,12,8,4,10,15,8,10,10,16,8,2,10,42,8,2,10,39,8,4,10,24,8,1,9,1,10,24,8,23,10,3,8,8,10,65,4,13,10,25,8,2,10,6,18,6,10,30,4,5,19,6,4,480,},
{4,670,9,1,8,14,10,1,4,6,19,7,4,24,19,5,4,2,9,1,10,2,8,1,10,1,8,3,10,2,18,1,8,1,10,6,3,2,18,2,3,6,16,1,3,1,10,2,3,3,18,1,10,2,8,1,10,1,9,1,18,1,9,1,10,8,9,1,18,1,10,5,3,2,10,2,9,1,18,2,10,5,18,1,8,1,10,14,18,2,10,14,18,2,10,23,18,2,10,22,18,1,10,20,18,2,10,6,18,3,10,6,18,4,10,4,18,1,10,38,8,1,10,4,8,5,10,2,8,3,10,24,8,1,10,3,8,10,10,31,8,3,10,24,8,4,10,53,8,2,10,22,8,5,10,88,8,5,10,1,8,5,10,2,8,2,10,4,8,12,10,4,8,2,18,3,8,4,10,16,8,11,10,6,8,3,10,41,4,1,19,12,4,3,19,1,4,3,10,101,8,5,10,105,9,3,10,10,4,4,19,5,4,365,19,6,4,3,18,2,8,1,10,4,8,3,10,6,8,5,10,9,8,19,10,14,8,2,10,2,8,6,10,15,8,10,10,3,8,11,10,8,8,4,10,5,8,3,10,13,8,4,10,5,8,1,10,8,8,11,10,3,8,4,10,9,8,2,10,42,8,2,10,39,8,4,10,24,8,1,9,1,10,1,8,4,10,19,8,8,10,2,8,13,10,3,8,8,10,41,8,1,10,22,4,4,19,6,4,4,10,35,18,4,10,31,4,4,19,6,4,480,},
{4,663,19,4,4,3,9,1,8,15,4,3,19,9,4,25,19,5,4,2,9,1,10,5,8,2,10,2,8,2,10,2,8,1,10,1,18,1,10,1,18,1,3,1,18,2,3,2,18,3,3,3,10,2,18,1,3,2,18,2,10,3,9,3,10,9,8,1,10,1,18,2,10,2,18,2,10,1,18,1,10,7,18,2,8,1,10,14,18,1,3,1,18,1,10,2,18,1,10,10,18,2,10,46,18,2,10,30,18,2,10,5,18,4,10,43,8,2,10,3,8,5,10,2,8,4,10,9,8,1,10,3,8,1,10,5,8,19,10,5,8,1,10,52,8,3,10,52,8,2,10,24,8,4,10,69,8,1,10,18,8,5,10,1,8,26,10,3,8,3,18,2,8,3,10,12,8,3,10,5,9,2,8,3,9,1,8,1,10,7,8,2,10,42,4,4,19,9,4,7,10,212,9,1,10,13,4,2,19,6,4,364,19,8,4,1,18,2,8,1,10,5,8,1,10,7,8,4,10,7,8,21,10,16,8,1,10,2,8,6,10,15,8,10,10,3,8,11,10,7,8,7,10,3,8,2,10,9,8,1,10,4,8,3,10,15,8,11,10,3,8,4,10,9,8,2,10,35,8,2,10,5,8,1,10,23,8,1,10,15,8,5,10,27,8,4,10,14,8,1,10,4,8,7,10,3,8,12,10,4,8,5,10,1,8,2,10,41,8,1,10,10,8,2,10,10,4,5,19,5,4,4,10,28,8,2,10,8,18,1,10,5,8,3,10,25,4,3,19,6,4,479,},
{4,662,19,6,4,2,9,1,8,8,10,2,8,2,9,1,8,1,10,1,4,2,19,9,4,27,19,2,4,3,18,1,8,1,10,9,8,2,10,2,8,1,18,2,10,1,18,1,3,1,18,2,3,2,18,1,10,2,18,1,3,2,10,2,18,6,10,2,8,2,10,4,8,2,10,6,18,2,10,6,18,2,10,6,18,1,8,1,10,12,18,1,10,1,3,2,18,1,10,2,18,2,10,9,18,1,10,47,18,2,10,12,18,1,10,17,18,2,10,5,18,4,10,43,8,1,10,4,8,5,10,2,8,5,10,1,8,1,10,5,8,3,10,1,8,17,10,2,8,3,18,2,8,2,10,18,8,2,10,91,8,4,10,5,8,2,10,96,8,2,10,11,8,24,10,2,8,3,10,2,8,11,10,10,8,6,10,7,9,1,8,2,9,1,10,52,4,4,19,7,4,9,10,226,18,1,4,2,19,5,4,365,19,7,4,1,18,3,8,1,10,12,8,4,10,6,8,6,10,1,8,16,10,37,8,13,10,1,8,12,10,6,8,9,10,18,8,3,10,13,8,13,10,3,8,5,10,45,8,2,10,29,8,1,10,15,8,5,10,27,9,1,8,3,10,13,8,3,10,3,8,5,10,6,8,10,10,5,8,8,10,52,8,2,10,10,4,4,19,6,4,4,10,25,8,5,10,14,8,3,10,25,4,3,19,7,4,478,},
{4,662,19,6,4,2,9,1,8,1,10,2,8,4,10,5,18,1,4,4,19,6,4,21,19,6,4,6,9,1,10,1,8,2,10,16,8,1,18,1,3,1,18,4,10,3,18,3,10,3,9,1,10,2,9,1,8,1,10,2,8,2,10,5,8,3,10,4,18,2,10,6,18,2,10,5,18,1,8,1,10,12,8,1,18,1,10,1,3,2,18,1,10,2,18,2,10,7,18,3,10,47,18,1,10,9,18,3,10,19,18,2,10,5,18,3,10,14,8,2,10,22,8,1,10,9,8,5,10,4,8,7,10,4,8,15,10,3,8,2,10,4,8,2,18,2,8,2,10,5,8,1,10,11,8,4,10,90,8,4,10,4,8,4,10,94,8,4,10,10,8,29,10,2,8,6,10,2,8,3,10,9,8,4,18,2,8,2,10,6,9,1,8,3,10,50,4,6,19,6,4,3,18,1,10,74,8,2,10,157,18,1,4,1,19,5,4,366,19,6,4,2,18,3,8,1,10,9,8,5,10,7,8,5,10,4,8,9,10,2,8,4,10,1,8,3,10,31,8,27,10,6,8,9,10,18,8,3,10,13,8,12,10,5,8,4,10,45,8,2,10,45,8,6,10,9,8,1,10,17,8,2,9,1,10,13,8,5,10,7,8,2,10,2,8,11,10,4,8,9,10,52,8,3,10,5,18,1,10,1,4,3,19,9,4,4,10,24,8,7,10,9,8,1,10,3,8,5,10,3,8,3,10,18,4,2,19,7,4,478,},
{4,662,19,6,4,2,9,1,8,1,10,4,8,1,10,5,18,1,4,5,19,6,4,20,19,7,4,5,10,1,8,4,10,5,8,1,10,3,8,2,10,5,18,6,10,5,9,1,10,11,8,2,10,6,8,2,10,2,8,1,10,1,18,2,10,2,18,2,10,1,18,1,3,2,10,16,8,1,10,3,18,1,10,1,18,1,3,1,18,1,10,11,18,1,9,1,10,57,18,4,10,19,18,2,10,22,8,2,10,4,8,3,10,24,8,3,10,9,8,6,10,3,8,2,10,5,8,6,10,11,8,2,18,2,8,2,10,18,8,6,10,87,8,3,10,5,8,4,10,45,8,4,10,34,8,2,10,9,8,4,10,5,8,2,10,6,8,10,18,2,8,2,10,1,8,10,10,3,8,2,18,1,8,3,10,14,8,8,9,1,10,4,9,2,8,4,10,49,4,6,19,6,4,2,10,76,8,2,10,104,8,2,10,51,18,1,4,2,19,4,4,366,19,7,4,2,18,2,8,2,10,6,8,7,10,6,8,6,10,4,8,7,10,4,8,9,10,29,8,27,10,7,8,9,10,18,8,3,10,13,8,5,10,1,8,5,10,15,8,1,10,39,8,2,10,45,8,8,10,7,8,1,10,34,8,6,10,5,8,15,10,10,8,2,10,53,8,3,10,4,18,1,10,2,4,2,19,10,4,4,10,24,8,7,10,13,8,11,10,19,4,1,19,7,4,478,},
{4,662,19,6,4,2,9,1,8,1,10,4,8,6,4,6,19,6,4,20,19,6,4,5,10,2,8,4,10,5,8,1,10,4,8,1,10,5,8,1,18,4,10,26,8,1,18,1,8,2,18,1,10,2,8,1,10,2,18,1,10,2,3,1,16,1,3,1,18,1,10,11,8,1,10,7,18,1,10,1,18,2,10,11,18,3,10,56,18,4,10,9,18,1,10,3,18,4,10,20,18,1,10,6,8,2,10,3,8,5,10,23,8,3,10,10,8,4,10,4,8,2,10,23,8,5,10,21,8,4,10,40,8,1,10,46,8,2,10,6,8,3,10,44,8,2,18,1,8,1,10,35,8,1,10,10,8,6,10,2,8,3,10,8,8,8,18,2,8,1,10,4,8,1,18,4,8,2,10,5,8,5,10,5,8,3,10,6,8,2,10,3,8,4,10,3,9,2,8,5,10,49,4,6,19,6,4,2,10,77,8,1,10,105,8,1,10,52,4,2,19,4,4,366,19,7,4,2,18,3,8,2,10,4,8,9,10,4,8,3,18,2,8,3,10,3,8,7,10,4,8,9,10,28,8,17,10,1,8,10,10,7,8,9,10,17,8,4,10,13,8,4,10,21,8,3,10,16,8,1,10,68,8,8,10,42,8,6,10,5,8,14,10,50,8,1,10,15,8,3,10,4,18,2,10,1,4,1,19,13,4,2,10,43,8,12,10,19,4,2,19,6,4,478,},
{4,663,19,5,4,2,9,1,8,2,10,4,8,2,9,1,8,1,10,1,4,6,19,3,4,23,19,6,4,4,10,4,8,4,10,2,18,1,10,19,18,2,10,3,18,3,10,2,18,1,10,3,8,2,10,8,8,4,18,1,10,5,18,1,10,2,3,1,16,2,3,1,10,34,18,3,10,26,18,7,10,29,18,1,10,10,18,4,10,20,18,1,10,6,8,1,10,4,8,5,10,23,8,2,10,13,8,2,10,4,8,2,10,23,8,2,18,2,8,2,10,21,8,3,10,37,8,4,10,3,8,1,10,42,8,1,10,7,8,3,10,44,8,4,10,48,8,10,10,14,8,1,18,2,8,1,10,4,8,1,18,4,8,2,10,4,8,5,10,6,8,4,10,11,9,2,10,5,9,1,8,5,10,49,4,14,10,82,8,1,10,153,4,2,19,4,4,366,19,8,4,1,18,4,8,2,10,2,8,7,10,4,9,1,8,10,10,3,8,7,10,2,8,10,10,30,8,6,10,6,8,3,10,2,8,9,10,10,8,7,10,17,8,3,9,1,10,9,8,2,10,2,8,3,10,12,8,1,10,4,8,1,10,4,8,2,10,16,8,2,10,26,8,1,10,41,8,8,10,45,8,5,10,4,8,6,10,2,8,4,10,51,8,1,10,17,8,1,10,6,4,2,19,13,4,2,10,44,8,11,10,20,4,2,19,5,4,478,},
{4,670,9,1,8,4,10,4,4,1,18,1,4,33,19,7,4,3,10,4,8,4,10,2,18,1,10,11,8,2,10,5,8,1,3,2,10,3,3,3,8,1,10,5,8,2,10,7,8,2,10,8,9,1,18,1,10,2,3,1,16,2,3,1,10,11,18,2,10,22,18,3,10,24,18,10,10,27,18,1,10,10,18,3,10,13,18,1,10,6,18,2,10,12,8,4,10,12,8,1,10,10,8,1,10,20,8,2,10,21,8,4,18,3,8,1,10,23,8,1,10,36,8,4,10,3,8,2,10,50,8,3,10,44,8,3,10,51,8,8,10,14,8,4,10,3,8,3,18,1,8,9,10,12,8,3,10,3,4,1,10,1,4,10,10,4,8,4,10,19,8,2,10,28,4,9,10,27,4,13,18,1,10,21,8,1,10,24,8,2,10,101,8,2,10,49,4,2,19,5,4,365,19,7,4,3,18,3,8,3,10,1,8,5,10,8,8,5,10,10,8,15,10,32,8,3,10,9,8,2,10,3,8,7,10,11,8,8,10,15,8,3,10,6,8,1,10,4,8,2,10,3,8,1,10,12,8,7,10,11,8,2,10,8,8,4,10,24,8,3,10,40,8,8,10,10,8,2,10,10,8,3,10,3,8,4,10,14,8,5,10,4,8,4,10,76,8,2,10,3,4,4,19,13,4,2,18,1,9,1,8,4,10,3,8,1,10,65,4,2,19,5,4,478,},
{4,670,10,1,8,4,10,3,4,36,19,7,4,3,10,4,8,4,10,9,8,2,10,3,8,2,10,5,18,1,3,1,18,1,10,2,18,1,3,3,18,1,8,1,18,3,10,1,8,3,10,12,8,1,10,2,18,3,10,2,3,1,16,1,3,1,18,1,10,2,18,1,10,4,8,3,10,1,18,1,8,1,10,23,18,2,10,26,18,10,10,24,18,2,10,11,18,2,10,20,18,1,10,12,8,5,10,12,8,1,10,26,8,1,10,4,8,2,10,9,8,3,10,8,8,4,18,4,8,2,10,58,8,5,10,56,8,2,10,103,8,3,10,14,8,20,10,13,8,1,10,3,4,14,10,4,9,1,8,2,10,18,8,3,10,28,4,8,10,28,4,14,10,127,8,1,10,22,8,1,10,49,4,4,19,4,4,365,19,7,4,3,18,2,8,9,10,19,8,2,10,4,8,10,10,16,8,1,10,19,8,3,10,7,8,3,10,3,8,4,10,15,8,7,10,15,8,3,10,11,8,2,10,3,8,2,10,9,8,10,10,5,8,1,10,5,8,1,10,8,8,4,10,24,8,2,10,17,8,2,10,10,8,2,10,9,8,1,10,3,8,5,10,10,8,2,10,9,8,4,10,3,8,5,10,5,8,2,10,6,8,5,10,4,8,4,10,57,8,3,10,20,4,5,19,13,4,2,18,5,8,1,10,1,8,3,10,66,4,1,19,6,4,477,},
{4,661,19,4,4,4,18,1,8,7,9,1,4,36,19,6,4,4,10,5,8,3,10,4,8,2,10,3,8,3,10,7,18,4,10,3,18,1,3,3,18,1,3,4,10,1,8,3,10,1,8,3,10,6,9,3,10,2,18,3,10,1,18,1,3,1,18,2,10,1,18,1,10,6,8,1,18,1,8,4,10,7,8,1,10,44,18,2,10,38,18,2,10,2,8,3,10,1,18,2,10,2,8,1,10,1,8,1,10,6,8,1,10,1,8,1,10,3,8,1,10,11,8,8,10,30,8,2,10,4,8,6,10,8,8,1,10,1,8,6,10,6,8,4,18,2,8,6,10,58,8,4,10,130,8,1,10,16,8,2,10,5,8,2,10,24,8,22,10,3,8,3,9,1,10,6,4,14,10,5,8,2,10,18,8,1,18,1,8,1,10,28,4,8,10,28,4,14,10,126,8,2,10,72,4,4,19,4,4,368,19,5,4,2,18,2,8,5,10,2,8,2,10,9,8,5,10,2,8,9,10,4,8,6,10,16,8,1,10,19,8,4,10,4,8,5,10,3,8,4,10,3,8,1,10,8,8,2,10,7,8,3,10,7,8,1,10,4,8,2,10,1,8,3,10,10,8,1,10,2,8,5,10,5,8,5,10,2,8,5,10,4,8,5,10,6,8,3,10,2,8,5,10,41,8,5,10,8,8,4,10,6,8,4,10,26,8,2,10,8,9,1,10,8,9,1,8,3,10,3,8,4,10,66,8,3,10,20,4,4,19,14,4,2,18,5,8,5,10,20,8,10,10,14,8,2,10,20,4,1,19,9,4,474,},
{4,661,19,5,4,2,18,1,9,1,8,7,9,1,4,36,19,6,4,4,10,6,8,2,10,4,8,8,10,6,9,1,18,3,10,3,18,1,3,3,18,3,3,2,18,1,10,1,8,7,10,2,18,1,10,2,8,1,18,3,10,1,8,1,18,2,10,2,3,2,18,1,10,1,18,2,10,6,8,1,18,1,8,2,10,8,8,3,10,31,18,2,10,3,18,2,10,28,18,1,10,12,8,1,18,1,8,2,18,3,8,2,10,1,8,2,18,3,8,6,10,1,8,4,10,1,8,2,18,1,8,2,10,10,8,7,10,31,8,15,10,3,8,11,10,6,8,12,10,55,8,3,10,133,8,3,10,15,8,1,10,6,8,2,10,26,8,6,9,1,10,6,8,2,10,1,8,5,10,2,8,1,18,1,8,1,10,6,4,16,10,4,8,2,10,18,8,1,18,1,8,1,10,29,4,7,10,21,4,21,10,126,8,2,10,34,8,2,10,32,8,1,10,4,4,1,18,1,4,1,19,4,4,369,19,4,4,2,18,2,8,4,10,3,8,3,10,1,8,1,10,5,8,10,10,2,8,5,10,6,8,3,9,1,10,29,9,1,10,6,8,5,10,3,8,5,10,4,8,2,10,4,8,1,10,7,8,2,10,8,8,3,10,7,8,2,10,3,8,1,10,20,8,4,10,4,8,4,10,4,8,4,10,4,8,5,10,6,8,6,10,2,8,3,10,41,8,4,10,8,8,4,10,6,8,2,10,28,8,2,10,17,9,1,8,4,10,3,8,3,10,16,8,1,10,49,8,3,10,19,4,4,19,11,4,1,19,1,4,3,18,3,8,4,10,1,8,3,10,20,8,10,10,14,8,2,10,10,8,1,10,9,4,1,19,9,4,474,},
{4,661,19,5,4,2,10,1,8,8,9,1,4,36,19,8,4,2,10,6,8,2,10,4,8,7,10,3,18,2,10,3,9,1,10,4,18,1,3,1,16,2,3,1,18,1,10,3,18,1,8,1,10,1,8,2,10,2,8,4,10,4,8,1,9,1,18,2,9,1,10,4,18,1,16,2,3,1,10,8,8,4,10,10,8,2,10,5,8,1,10,25,18,2,10,3,18,2,10,41,8,1,18,1,8,2,18,3,8,2,10,1,8,2,18,2,8,3,18,3,8,8,18,2,8,2,10,7,8,8,10,31,8,11,10,2,8,11,10,3,8,4,10,6,8,6,10,3,8,2,10,2,8,4,10,11,8,3,10,8,8,1,10,26,8,5,10,133,8,1,10,23,8,2,10,28,8,4,10,11,8,8,10,2,4,7,19,12,4,2,10,3,8,4,10,18,8,2,10,53,4,11,19,1,4,6,19,5,4,2,10,162,8,2,10,32,8,1,10,5,18,1,4,1,19,4,4,368,19,6,4,1,18,3,8,3,10,3,8,3,10,1,8,2,10,4,8,10,10,3,8,3,10,7,8,3,9,2,10,2,9,3,10,30,8,5,10,6,8,2,10,10,8,2,10,16,8,2,10,7,8,3,10,16,8,1,10,8,8,2,18,1,8,3,10,1,8,1,10,7,8,4,10,5,8,3,10,8,8,5,10,3,8,2,10,54,8,3,10,37,8,1,10,18,8,4,10,73,8,1,10,18,4,3,19,10,4,9,18,2,8,2,10,5,8,2,10,19,8,7,10,18,8,1,10,21,4,2,19,8,4,474,},
{4,660,19,6,4,1,18,1,8,9,10,1,4,36,19,8,4,2,10,6,8,2,10,6,8,3,10,4,8,1,18,3,9,1,18,1,9,1,10,3,18,2,3,1,16,2,3,1,18,1,10,3,8,1,10,2,8,2,10,3,8,3,10,5,9,1,18,2,10,5,3,1,16,2,3,1,10,2,18,1,10,3,18,2,8,4,10,10,8,2,10,31,18,2,10,4,18,1,10,41,8,1,18,1,8,2,18,3,8,1,10,3,8,6,18,3,8,3,18,2,8,3,18,2,8,2,10,6,8,7,10,26,8,18,10,3,8,10,10,3,8,4,10,6,8,3,10,6,8,2,10,2,8,5,10,7,8,7,10,6,8,3,10,5,8,1,10,20,8,3,10,29,8,2,10,32,8,3,10,36,8,3,10,52,8,3,10,43,8,7,10,3,4,6,19,13,4,2,10,3,8,5,10,71,4,5,19,9,4,4,19,6,4,2,10,161,8,3,10,38,4,2,19,4,4,368,19,6,4,1,18,3,8,3,10,3,8,2,10,2,8,3,10,3,8,10,10,3,8,3,10,8,8,2,9,7,10,11,9,2,10,18,8,3,10,18,8,6,10,13,8,2,10,6,8,4,10,16,8,1,10,8,8,1,18,3,8,3,10,7,8,5,10,15,8,6,10,5,8,2,10,111,8,4,10,3,8,2,10,41,18,1,10,44,4,2,19,12,4,8,10,9,8,3,10,19,8,7,10,40,4,3,19,7,4,474,},
{4,661,19,5,4,2,9,1,8,7,10,2,4,36,19,8,4,2,10,6,8,2,10,7,8,2,10,5,18,7,10,1,18,3,3,1,16,2,3,1,18,2,10,2,8,4,10,5,8,3,10,6,18,1,10,5,3,1,16,2,18,1,4,2,18,2,10,2,18,1,8,3,10,12,8,2,10,1,8,1,10,13,18,2,10,62,8,1,18,1,8,2,18,3,8,1,10,3,8,3,10,1,8,2,18,3,8,8,18,2,8,2,10,5,8,7,10,18,8,2,10,7,8,3,10,2,8,13,10,2,8,11,10,3,8,4,10,5,8,3,10,7,8,4,10,3,8,3,10,4,8,6,18,1,8,2,10,5,8,4,10,4,8,2,10,51,8,5,10,30,8,4,10,33,8,2,18,3,8,1,10,49,8,7,10,42,8,3,18,2,9,1,10,3,4,6,19,13,4,1,10,3,8,5,10,72,4,3,19,11,4,4,19,6,4,2,10,162,8,3,10,37,4,2,19,4,4,368,19,6,4,2,18,2,8,3,10,3,8,2,10,2,8,3,10,4,8,10,10,1,8,5,10,6,8,10,10,11,8,2,10,18,8,3,10,16,8,8,10,6,8,2,10,13,8,3,10,16,8,2,10,8,8,7,10,6,8,7,10,14,8,7,10,4,8,2,10,71,8,1,10,39,8,10,10,36,18,1,10,1,18,5,10,42,4,2,19,12,4,5,10,5,8,2,10,4,8,3,10,20,8,7,10,40,4,3,19,9,4,472,},
{4,660,19,6,4,2,10,1,8,7,10,2,4,36,19,7,4,3,10,6,8,2,10,4,8,2,10,5,18,1,10,2,18,3,3,3,18,2,3,2,18,1,3,4,18,2,10,2,8,4,10,5,8,3,10,1,18,3,10,7,18,1,3,1,16,1,3,1,4,3,18,2,10,2,18,1,8,2,10,13,8,1,18,1,8,2,10,7,8,1,10,4,18,4,10,62,18,1,8,2,18,2,8,2,10,4,8,2,10,2,8,1,18,2,8,1,10,2,8,9,10,10,8,3,10,18,8,3,10,13,8,23,10,4,8,4,10,6,8,3,10,5,8,5,10,4,8,10,10,1,8,4,10,5,8,3,10,2,8,4,10,52,8,5,10,5,8,1,10,25,8,2,10,33,8,1,18,6,10,47,8,10,10,42,9,1,8,1,18,3,10,2,4,7,19,13,4,1,10,3,8,3,10,74,4,2,19,12,4,4,19,6,4,2,10,60,8,2,10,52,8,1,10,48,8,3,10,36,4,2,19,4,4,369,19,5,4,2,18,3,8,1,10,2,8,2,10,4,8,1,10,7,8,16,10,4,8,4,10,2,8,4,10,2,8,1,10,5,8,5,10,37,8,9,10,4,8,6,10,13,8,1,10,15,8,4,10,7,8,6,10,2,8,1,10,3,8,10,10,5,8,1,10,6,8,7,10,5,8,1,10,44,8,2,10,3,8,2,10,20,8,1,10,39,8,11,10,2,8,1,10,31,18,2,10,2,18,3,10,12,8,3,10,1,8,3,10,18,8,3,10,3,4,2,19,11,4,5,10,6,8,2,10,4,8,3,10,11,8,2,10,6,8,7,10,41,4,2,19,10,4,472,},
{4,661,19,5,4,2,10,2,8,7,10,1,4,1,19,4,4,31,19,7,4,2,10,7,8,2,10,10,18,2,8,1,18,2,3,5,18,2,3,6,18,1,10,4,8,7,10,1,8,3,10,2,18,1,3,2,18,1,10,6,3,2,16,1,3,1,4,3,18,2,10,2,18,1,8,1,10,1,8,1,18,1,10,3,8,4,10,4,18,2,8,2,10,7,8,1,10,4,9,1,18,3,10,62,18,1,8,2,18,2,8,2,10,4,8,2,10,2,8,4,10,3,8,3,10,2,8,2,10,2,8,1,10,9,8,3,10,18,8,1,10,15,8,17,10,10,8,3,10,5,8,4,10,4,8,5,10,5,8,9,10,3,8,3,10,5,8,3,10,2,8,3,10,14,8,1,10,39,8,5,10,4,8,1,10,2,8,5,10,53,8,1,18,3,14,2,18,1,8,1,10,43,8,1,10,1,8,3,18,1,8,2,10,1,8,5,10,42,9,1,8,1,18,1,4,6,19,17,4,1,10,2,8,2,9,1,10,73,4,3,19,12,4,4,19,7,4,2,10,15,8,1,10,148,8,3,10,35,4,3,19,4,4,375,18,3,8,1,10,2,8,2,10,13,8,23,10,2,8,3,10,3,8,3,10,3,8,4,10,6,8,1,10,31,8,9,10,4,8,2,18,3,8,1,10,29,8,4,10,4,8,4,10,7,8,8,10,2,8,5,10,3,8,3,10,4,8,9,10,48,8,3,10,2,8,4,10,59,8,15,10,29,18,3,10,4,18,1,10,12,8,2,10,2,8,1,18,1,8,1,10,18,8,3,10,2,4,3,19,6,4,10,10,6,8,3,10,3,8,2,10,10,8,4,10,2,8,6,10,1,8,4,10,41,4,2,19,10,4,472,},
{4,661,19,6,4,1,10,1,8,8,10,1,4,1,19,5,4,30,19,7,4,2,10,7,8,3,10,7,8,1,10,1,18,1,3,1,18,2,3,5,18,3,3,5,18,2,10,3,8,3,10,3,8,6,10,1,18,1,3,3,18,1,10,6,3,3,18,1,4,3,18,2,10,2,18,2,10,1,18,1,3,1,18,1,10,2,8,1,18,1,8,2,10,1,8,1,10,1,8,2,18,1,8,1,10,13,9,1,18,3,10,62,8,3,18,2,8,2,10,4,8,3,10,1,8,4,10,4,8,1,10,3,8,2,10,2,8,1,10,9,8,4,10,33,8,15,10,12,8,3,10,5,8,5,10,2,8,6,10,5,8,3,18,2,8,4,10,3,8,16,10,6,8,1,10,7,8,1,10,33,8,2,10,4,8,5,10,6,8,6,10,53,8,4,18,4,8,1,10,41,8,9,10,2,8,5,10,41,9,1,18,2,4,6,19,17,4,1,10,2,8,2,10,45,8,2,10,27,4,2,19,14,4,3,19,6,4,3,10,164,8,3,10,35,4,4,19,4,4,375,18,2,8,1,10,1,8,3,10,13,8,23,10,8,8,3,10,4,8,3,10,5,8,3,10,7,8,2,10,15,8,2,10,4,8,4,10,1,8,5,10,4,8,1,18,1,15,1,18,1,8,2,10,18,8,2,10,7,8,5,10,4,8,5,10,8,8,5,10,4,8,4,10,3,8,16,10,5,8,3,10,41,8,2,10,3,8,3,10,60,8,14,10,53,8,3,10,5,8,2,10,11,8,3,10,1,4,3,19,7,4,10,10,6,8,3,10,22,8,1,10,1,8,3,10,46,4,2,19,10,4,472,},
{4,661,19,6,4,1,10,1,8,8,10,1,4,1,19,5,4,28,19,9,4,1,10,3,8,9,10,6,8,1,10,1,18,1,3,7,18,3,3,7,18,1,10,2,8,3,10,5,8,5,10,1,18,1,3,3,18,1,10,6,3,2,18,1,4,4,18,1,10,2,18,3,10,1,3,2,18,1,8,1,10,1,8,1,18,2,8,1,10,1,8,1,10,1,9,1,18,3,8,1,10,13,18,3,10,62,8,3,18,2,8,2,10,3,8,4,10,1,8,4,10,4,8,1,10,3,8,2,10,4,18,1,10,2,8,1,10,3,8,6,10,30,8,17,10,13,8,1,10,5,8,6,10,1,8,7,10,4,8,28,10,49,8,2,10,4,8,5,10,6,8,6,10,54,8,1,10,2,8,1,18,3,8,1,10,3,8,2,10,10,8,2,10,24,8,8,10,4,8,5,10,16,8,3,10,19,9,3,18,2,4,4,19,18,4,2,10,17,8,1,10,14,8,1,10,16,8,2,10,25,4,4,19,14,4,2,19,5,4,5,10,164,8,2,10,36,4,4,19,5,4,374,18,2,8,5,10,13,8,14,10,5,8,3,10,10,8,2,10,12,8,3,10,6,8,3,10,16,8,1,10,4,8,4,10,2,8,4,10,4,8,3,18,1,8,6,10,13,8,15,10,7,8,5,10,6,8,3,10,6,8,3,10,4,8,6,10,1,8,8,10,4,8,5,10,40,8,2,10,3,8,3,10,31,8,1,10,29,8,13,10,60,8,3,10,10,8,4,10,1,4,2,19,7,4,11,10,6,8,3,10,23,8,1,10,27,8,1,10,21,4,3,19,10,4,471,},
{4,661,19,6,4,1,9,1,8,8,9,1,4,1,19,5,4,28,19,9,4,1,10,2,8,10,10,8,18,1,3,7,18,3,3,6,18,2,10,2,8,3,10,8,8,3,18,1,3,3,18,1,10,6,3,2,4,6,10,2,18,3,10,1,3,3,8,1,10,1,18,2,8,1,10,2,8,1,10,1,9,1,18,3,8,1,10,12,18,3,10,24,18,1,10,38,8,4,18,1,8,2,10,3,8,9,10,4,8,1,10,3,8,2,10,1,8,1,18,1,10,1,18,3,8,8,10,30,8,10,10,1,8,7,10,15,8,10,10,3,8,5,10,2,8,29,10,51,8,2,10,4,8,6,10,5,8,4,10,61,8,1,18,2,8,1,10,2,8,3,10,3,8,2,10,4,8,3,10,23,8,8,10,5,8,4,10,16,8,6,10,15,9,4,18,2,4,4,19,19,4,1,10,17,8,1,10,13,8,3,10,42,4,4,19,14,4,2,19,6,4,4,10,21,8,1,10,142,8,1,10,37,4,4,19,6,4,373,18,2,8,5,10,14,8,11,10,20,8,1,10,13,8,2,10,4,9,1,8,5,10,20,8,11,10,5,8,7,18,1,8,2,10,10,8,17,10,7,8,6,10,6,8,1,10,8,8,1,10,7,8,4,10,3,8,6,10,4,8,6,10,40,8,2,10,36,8,1,10,30,8,9,10,1,9,1,10,61,8,4,10,14,4,2,19,7,4,11,10,1,8,1,10,4,8,2,10,36,8,1,10,38,4,6,19,6,4,471,},
{4,661,19,6,4,1,9,1,8,8,18,1,4,1,19,5,4,28,19,8,4,2,10,2,8,10,10,3,8,1,18,1,8,1,10,3,18,1,3,6,18,4,3,5,18,3,10,3,8,1,10,9,9,1,18,1,10,1,3,3,18,1,10,6,18,1,10,2,18,3,10,4,18,3,10,1,18,1,3,1,18,1,8,1,10,1,18,2,8,1,10,4,9,1,18,3,8,1,10,12,18,3,10,15,18,2,10,5,18,3,10,17,18,2,10,19,8,7,10,3,8,5,10,2,8,2,10,8,8,2,10,3,18,5,8,6,10,32,8,9,10,22,8,11,10,3,8,21,18,1,8,11,18,2,8,1,10,51,8,2,10,4,8,7,10,4,8,1,10,61,8,1,10,3,8,2,10,3,8,3,10,3,8,2,10,5,8,2,10,22,8,7,10,2,8,3,10,5,8,1,10,17,8,5,10,14,9,4,10,1,9,1,18,1,4,4,19,18,4,2,10,31,8,2,10,43,4,4,19,6,4,10,19,6,4,2,10,179,8,1,10,25,18,1,4,2,19,8,4,364,19,6,4,1,18,3,8,4,10,20,8,4,10,41,9,1,8,2,10,11,8,2,10,9,8,12,10,6,8,5,18,2,8,2,10,9,8,2,10,1,8,6,18,1,8,7,10,9,8,5,10,23,8,3,10,14,8,6,10,41,8,2,10,35,8,1,10,31,8,8,10,63,8,1,18,2,8,1,10,13,4,3,19,6,4,11,18,1,8,3,10,3,8,2,10,35,8,3,10,39,4,5,19,6,4,470,},
{4,661,19,6,4,1,9,1,8,8,9,1,4,1,19,5,4,28,19,8,4,2,10,3,8,5,10,1,8,3,10,1,18,3,3,1,18,1,10,4,18,1,3,6,18,3,3,4,18,1,10,1,8,1,10,1,18,1,10,8,8,1,18,2,10,1,9,1,18,1,10,1,18,1,3,2,18,1,10,8,18,2,10,1,18,4,10,3,18,1,10,1,18,3,10,2,18,1,8,1,10,5,18,3,8,3,10,4,8,1,10,2,8,2,10,19,18,4,10,4,18,3,10,17,18,2,10,19,8,7,10,3,8,5,10,2,8,2,10,15,18,5,8,3,10,34,8,8,10,10,8,3,10,9,8,8,10,1,8,2,10,3,8,21,18,1,8,10,18,3,8,1,10,51,8,2,10,4,8,7,10,4,8,1,10,61,8,1,10,8,8,2,10,36,8,3,10,5,8,4,10,22,8,1,18,1,8,4,10,14,9,2,10,4,4,4,19,18,4,2,10,11,8,2,10,50,9,1,10,11,18,1,4,3,19,7,4,10,19,6,4,2,10,26,8,2,10,19,8,3,10,128,8,2,10,26,4,3,19,7,4,364,19,6,4,2,18,2,8,4,10,20,8,3,10,42,8,3,10,10,8,3,10,8,8,12,10,8,8,4,18,1,15,1,18,1,8,1,10,9,8,2,10,3,8,12,10,38,8,2,10,14,8,7,10,40,8,2,10,55,8,6,10,7,8,7,10,63,8,2,18,1,8,2,10,11,4,4,19,5,4,12,18,1,8,3,10,1,8,3,10,36,8,3,10,42,4,3,19,5,4,470,},
{4,661,19,6,4,1,9,1,8,8,9,1,4,1,19,5,4,28,19,8,4,2,10,3,8,4,10,3,8,2,10,1,18,2,3,3,18,1,10,1,18,1,10,1,18,1,3,7,10,2,18,1,3,2,18,1,10,2,8,1,10,10,18,3,10,2,18,1,10,1,18,1,3,1,18,2,10,7,18,2,10,2,18,4,10,3,18,1,10,1,8,1,18,1,8,1,10,1,8,1,18,1,8,1,10,4,8,1,9,1,18,1,9,1,8,2,10,3,8,3,10,1,8,3,18,1,8,1,10,18,18,4,10,16,18,1,10,5,18,3,10,19,8,1,10,1,8,5,10,3,8,5,10,2,8,2,10,15,18,4,8,3,10,37,8,3,10,14,8,2,10,8,8,8,10,2,8,2,10,3,8,24,10,5,8,3,18,3,8,1,10,52,8,1,10,3,8,11,10,73,8,1,10,43,8,5,10,22,8,1,18,1,8,5,10,8,8,2,9,1,10,3,9,1,10,4,4,4,19,18,4,2,10,11,8,2,10,62,18,1,4,3,19,5,4,10,19,6,4,4,10,26,8,5,10,16,8,2,10,129,8,3,10,16,8,1,10,8,4,4,19,6,4,364,19,6,4,2,18,3,8,3,10,20,8,3,10,33,8,3,10,6,8,2,10,12,8,3,10,7,8,11,10,8,8,6,18,1,8,1,10,10,8,2,10,5,8,9,10,16,8,3,10,20,8,1,10,15,8,7,10,4,8,4,10,88,8,8,10,3,8,1,10,2,8,6,9,3,10,62,8,1,18,1,8,2,10,2,8,3,10,6,4,1,19,7,4,13,18,1,8,1,10,3,8,3,10,27,8,1,10,9,8,1,10,43,4,3,19,5,4,470,},
{4,661,19,6,4,1,9,1,8,1,10,1,8,6,18,1,4,1,19,5,4,28,19,7,4,3,10,3,8,4,10,3,8,2,10,1,18,1,3,4,18,1,10,3,18,1,3,3,18,1,3,3,10,2,18,3,10,2,8,3,10,2,8,2,10,5,8,1,18,1,8,1,10,2,18,1,10,1,3,3,18,1,10,7,18,2,10,1,18,1,10,2,18,2,10,3,8,2,10,3,8,1,18,2,8,1,10,4,8,3,10,9,8,6,10,19,18,1,9,1,10,29,18,1,10,17,8,4,10,4,8,4,10,3,8,2,10,15,18,4,8,3,10,6,8,4,10,53,8,8,10,4,8,1,10,2,8,7,18,1,8,11,10,2,8,3,10,6,8,2,18,3,8,2,10,55,8,10,10,1,8,1,10,116,8,2,10,26,8,7,10,6,8,4,10,9,4,4,19,4,4,2,19,8,4,2,19,2,4,2,10,11,8,3,10,61,18,1,4,2,19,6,4,10,19,6,4,4,10,27,8,1,10,19,8,1,10,32,9,1,10,97,8,2,10,16,8,2,10,9,4,3,19,6,4,364,19,6,4,2,18,3,8,2,10,22,8,1,10,5,8,2,10,27,8,2,10,7,8,2,10,12,8,4,10,6,8,3,10,3,8,4,10,9,8,6,18,1,8,2,10,9,8,2,10,7,8,3,10,8,8,3,10,1,8,1,10,7,8,3,10,22,8,4,10,9,8,6,10,7,8,3,10,87,8,14,10,2,8,4,9,4,10,63,8,2,10,2,8,4,10,6,4,1,19,7,4,13,18,1,10,4,8,3,10,27,8,2,10,52,4,6,19,2,4,470,},
{4,661,19,6,4,1,9,1,8,1,10,2,8,4,10,1,4,2,19,5,4,28,19,5,4,4,10,4,8,4,10,3,8,2,10,1,18,2,3,3,18,1,8,1,18,1,10,1,3,1,16,2,3,1,18,2,3,2,18,4,10,4,8,2,10,2,8,3,10,9,9,1,10,1,3,1,16,1,3,1,18,1,10,10,18,1,10,3,18,2,10,7,18,1,8,3,10,3,8,2,10,11,8,5,10,69,8,4,10,4,8,4,10,2,8,7,10,11,18,4,8,4,10,2,8,8,10,6,8,2,10,44,8,8,10,4,8,2,10,1,8,4,10,2,8,2,18,2,8,7,10,5,8,2,10,5,8,2,18,3,8,2,10,20,8,2,10,35,8,1,10,64,8,2,10,4,8,1,10,55,8,1,10,27,8,6,10,7,8,3,10,5,9,3,10,4,4,12,19,4,4,6,10,12,8,3,10,53,8,1,10,6,18,1,4,2,19,6,4,10,19,6,4,4,10,46,8,2,10,27,9,1,10,11,8,1,10,30,8,2,10,58,8,2,10,16,8,3,10,3,8,2,10,4,18,2,4,1,19,6,4,363,19,7,4,2,18,2,8,2,10,26,8,5,10,5,4,1,10,5,18,3,4,3,18,3,4,1,10,14,8,2,10,13,8,3,10,6,8,2,10,5,8,2,10,11,8,4,18,3,8,3,10,7,8,2,10,17,8,3,10,3,8,2,10,5,8,4,10,21,8,6,10,6,8,6,10,87,8,2,10,8,8,5,10,3,8,7,10,2,8,5,9,3,10,15,8,1,10,47,8,2,10,3,8,3,10,6,4,1,19,7,4,3,19,4,4,6,18,1,10,4,8,2,10,27,8,3,10,3,8,1,10,25,8,2,10,24,4,5,19,5,4,465,},
{4,661,19,6,4,1,10,1,8,7,4,4,19,4,4,28,19,5,4,3,10,1,8,1,10,1,8,6,10,3,8,2,10,1,8,1,18,5,10,1,18,1,10,1,3,1,16,2,3,1,18,2,3,2,18,3,10,2,8,1,10,2,8,2,10,1,8,3,10,11,3,4,18,1,10,10,18,1,10,3,18,2,10,2,8,7,18,1,10,18,8,4,10,66,8,7,10,6,8,1,10,3,8,4,10,12,8,1,10,1,18,3,8,7,18,2,8,6,10,5,8,3,10,42,8,6,10,2,8,2,10,3,8,4,10,2,8,2,10,2,8,10,10,8,8,6,18,3,8,2,10,21,8,3,10,46,8,1,10,52,8,2,10,4,8,1,10,20,8,1,10,66,8,1,10,8,8,2,10,6,9,1,8,1,9,1,10,4,4,22,10,76,4,2,19,6,4,11,19,5,4,4,10,87,8,1,10,31,8,1,10,58,8,1,10,18,8,2,10,2,8,3,10,4,18,2,4,1,19,7,4,362,19,8,4,1,18,2,8,2,10,1,8,2,10,15,8,1,10,7,8,5,10,4,4,18,10,7,8,1,10,6,8,1,10,15,8,1,10,26,8,4,18,3,8,5,10,5,8,2,10,17,8,3,10,2,8,5,10,4,8,2,10,22,8,7,10,6,8,4,10,89,8,1,10,9,8,3,10,3,8,7,10,4,8,2,9,1,10,19,8,2,10,51,8,3,10,6,4,1,19,7,4,2,19,6,4,5,18,1,10,4,8,2,10,28,8,1,10,57,4,4,19,6,4,464,},
{4,661,19,6,4,1,9,1,8,6,9,1,4,36,19,5,4,3,10,2,8,7,10,3,8,3,10,2,18,1,3,1,18,2,10,2,8,1,3,1,16,2,3,1,18,2,3,2,18,1,10,3,8,6,10,2,8,1,10,2,18,3,10,5,18,1,3,4,18,1,10,17,18,3,8,1,18,2,8,3,10,19,8,6,10,60,18,2,10,2,8,9,10,9,8,2,10,12,8,1,18,2,8,1,18,1,8,3,10,1,8,2,18,4,8,1,18,2,8,3,10,25,8,3,10,21,8,6,10,1,8,10,10,4,8,3,10,3,8,3,10,2,8,2,10,8,8,6,18,2,8,8,10,64,8,3,10,43,8,1,10,34,8,1,10,60,8,1,10,29,4,22,10,76,4,2,19,6,4,10,19,5,4,5,10,135,8,1,10,64,8,2,10,7,18,1,4,2,19,6,4,362,19,8,4,1,18,3,10,2,18,2,9,1,10,17,8,9,10,5,4,18,10,7,8,1,10,48,8,5,18,2,8,7,10,5,8,1,10,17,8,2,10,3,8,6,10,29,8,6,10,24,8,2,10,82,8,3,10,2,8,8,10,4,9,2,10,21,8,1,10,13,8,1,10,45,4,2,19,15,4,5,10,50,8,2,10,38,18,2,10,1,4,4,19,6,4,464,},
{4,661,19,6,4,1,9,1,8,6,9,1,4,36,19,5,4,3,10,1,8,8,10,3,8,4,10,1,18,1,3,1,18,1,10,3,18,1,3,4,18,4,10,1,8,1,9,1,18,1,9,4,8,2,10,4,18,9,3,4,10,15,18,2,10,2,18,3,8,2,18,1,8,1,10,14,8,2,10,5,8,6,10,2,8,1,10,6,8,1,10,3,8,1,10,2,18,1,10,2,8,1,10,28,18,2,10,10,18,2,10,3,8,6,10,1,8,1,10,6,8,1,10,2,8,1,10,3,18,1,8,1,10,8,18,3,8,5,10,1,8,2,18,1,8,2,18,1,8,1,18,2,8,3,10,25,8,3,10,21,8,6,10,1,8,10,10,4,8,3,10,14,8,2,10,2,8,14,18,1,8,2,10,63,8,3,10,21,8,3,10,18,8,3,10,33,8,4,10,88,4,20,10,77,4,2,19,6,4,11,19,2,4,6,10,136,8,5,10,60,8,1,10,9,18,1,4,2,19,5,4,363,19,7,4,2,18,2,10,2,18,2,9,1,10,16,8,7,10,6,8,1,10,1,18,1,4,18,10,1,9,1,10,3,8,3,10,48,8,13,10,21,8,3,10,4,8,6,10,30,8,6,10,14,8,1,10,8,8,2,10,83,8,2,10,2,8,8,10,40,8,1,18,1,8,1,10,31,18,2,10,10,18,1,10,1,4,1,19,15,4,4,10,50,8,3,10,41,4,4,19,6,4,464,},
{4,661,19,6,4,1,9,1,8,6,9,1,4,36,19,5,4,3,10,1,8,1,18,1,8,6,10,3,8,4,10,1,18,3,10,4,18,1,3,3,18,1,10,3,8,1,18,7,8,2,10,4,8,1,18,3,3,1,18,4,3,1,16,1,3,1,18,1,10,14,18,4,10,3,8,5,10,3,8,3,10,8,8,2,10,4,8,7,10,15,18,3,10,3,8,1,10,26,18,2,10,15,8,2,10,3,8,2,10,6,8,2,10,3,8,1,10,3,8,1,10,8,8,1,18,1,8,6,10,1,8,2,18,1,8,1,18,1,8,7,10,26,8,2,10,23,8,2,10,1,8,12,10,5,8,2,10,10,8,14,18,4,8,7,10,146,8,2,10,94,18,4,10,1,18,4,10,82,4,2,19,7,4,16,10,203,8,1,10,9,18,2,4,2,19,4,4,364,19,6,4,2,18,2,9,1,10,1,8,2,10,16,8,8,10,6,8,1,10,1,18,1,4,4,19,10,4,5,9,1,10,4,8,2,10,5,8,1,10,42,8,13,10,20,8,4,10,2,8,4,10,4,8,3,10,28,8,1,10,17,8,4,10,12,8,2,10,77,8,11,10,14,8,1,10,26,8,2,10,33,18,5,10,5,18,2,10,1,4,1,19,15,4,1,10,54,8,1,10,29,8,1,10,12,4,5,19,8,4,461,},
{4,661,19,6,4,1,9,1,8,6,9,1,4,36,19,5,4,3,10,1,8,1,18,2,8,5,10,3,8,4,10,1,18,1,8,1,10,5,18,4,10,2,9,2,18,8,8,2,10,6,18,4,10,1,18,1,3,1,16,2,3,1,18,1,10,5,18,3,10,15,8,2,10,4,8,4,10,2,8,2,10,9,8,7,10,1,8,2,10,1,8,3,10,1,8,1,10,1,8,1,10,3,8,1,10,1,18,2,9,1,10,2,8,1,10,26,18,2,10,15,8,2,10,10,8,7,10,7,8,3,10,1,8,2,18,1,8,6,10,1,8,2,18,3,8,7,10,11,8,3,10,40,8,13,10,4,8,3,10,9,8,4,18,2,8,3,18,1,8,4,18,6,8,4,10,147,8,3,10,92,9,1,8,3,10,3,9,1,8,1,10,15,8,2,10,66,4,2,19,8,4,14,10,204,8,1,10,9,8,1,18,2,4,2,19,2,4,365,19,6,4,3,18,1,9,1,10,19,8,7,10,9,18,1,4,3,19,12,4,5,10,4,8,3,10,8,8,1,10,28,8,1,10,10,8,12,10,16,8,7,10,3,8,2,10,7,8,3,10,21,8,2,10,10,8,2,10,11,8,3,10,11,8,4,10,66,8,2,10,9,8,3,10,6,8,1,10,14,8,1,10,8,8,1,10,52,18,7,10,6,4,1,19,14,4,1,10,98,4,6,19,8,4,460,},
{4,661,19,6,4,1,10,1,8,6,9,1,4,36,19,5,4,3,10,2,18,2,8,5,10,3,8,4,10,12,8,1,9,1,18,6,9,4,8,1,10,4,8,2,10,6,3,1,16,3,3,1,10,1,18,2,10,3,18,2,10,3,18,1,10,8,18,1,10,9,8,8,10,15,8,16,9,3,8,13,10,2,18,2,10,29,8,1,10,1,8,2,10,8,8,9,10,6,8,13,10,2,8,2,18,1,8,2,10,1,8,1,10,1,8,3,10,11,8,3,10,40,8,22,10,7,8,1,18,1,8,2,18,2,8,2,18,3,8,3,18,6,8,4,10,101,8,6,10,40,8,4,10,92,8,3,10,20,8,3,10,65,4,2,19,8,4,14,10,155,8,1,10,48,8,1,10,10,18,2,4,369,19,7,4,2,18,2,10,3,9,1,10,15,8,4,10,1,8,1,10,11,4,2,19,14,4,5,10,3,8,2,10,8,8,2,10,28,8,1,10,10,8,12,10,15,8,7,10,5,8,1,10,7,8,3,10,16,8,2,10,2,8,3,10,10,8,3,10,10,8,4,10,10,8,4,10,65,8,3,9,1,10,41,8,2,10,56,18,1,10,7,4,1,19,11,4,4,10,34,8,1,10,63,4,6,19,8,4,460,},
{4,661,19,6,4,1,9,1,8,6,9,1,4,36,19,6,4,2,10,2,8,7,10,2,8,5,10,8,8,1,18,1,10,2,8,1,18,4,9,1,18,1,9,1,8,6,10,2,8,1,10,3,8,1,10,3,18,1,3,1,16,2,3,1,9,1,10,1,18,1,10,8,18,2,10,20,8,6,10,15,8,26,18,2,9,1,8,1,10,1,8,2,10,1,18,2,10,29,8,1,10,1,8,3,10,6,8,10,10,7,8,12,10,3,8,4,10,1,8,1,10,1,8,5,10,9,8,2,10,41,8,19,18,3,8,8,18,3,8,4,18,3,8,4,18,4,8,4,10,101,8,8,10,13,8,4,10,22,8,6,10,113,8,3,10,65,4,2,19,8,4,14,10,165,8,1,10,38,8,1,10,10,8,1,18,2,4,368,19,7,4,2,18,2,10,3,18,2,10,14,8,3,10,14,4,2,19,15,4,4,10,13,8,2,10,39,8,9,10,4,8,3,10,4,8,1,10,5,8,7,10,14,8,3,10,16,8,2,10,3,8,2,10,11,8,2,10,10,8,3,10,11,8,4,10,55,8,2,10,8,8,3,18,1,9,1,10,64,8,3,10,24,8,2,10,13,4,6,19,1,4,8,10,100,4,5,19,8,4,460,},
{4,661,19,6,4,1,9,1,8,6,9,1,4,36,19,7,4,1,10,3,8,7,10,1,8,5,10,8,8,1,18,1,10,2,8,1,9,4,8,9,10,1,8,1,10,2,18,4,10,1,18,1,3,1,16,2,3,1,18,1,10,3,18,2,10,6,18,1,10,24,8,3,10,16,8,15,10,3,8,7,18,3,8,1,10,1,8,2,10,2,18,1,10,26,18,1,10,2,8,5,10,6,8,7,10,10,8,9,18,2,8,1,10,4,8,6,10,1,8,4,10,9,8,2,10,40,8,5,10,1,8,14,18,1,14,1,18,2,8,2,18,3,8,8,18,3,8,5,18,4,8,2,10,102,8,9,10,11,8,7,10,14,8,2,10,6,8,6,10,112,8,2,10,66,4,1,19,9,4,4,19,5,4,3,10,166,8,3,10,5,8,2,10,16,8,3,10,11,8,1,10,10,8,1,18,2,4,368,19,8,4,9,10,30,4,2,19,15,4,4,10,54,8,7,10,6,8,4,10,2,8,2,10,5,8,6,10,30,8,5,10,17,8,1,10,84,8,2,10,8,8,3,18,2,10,7,4,17,10,4,4,8,10,27,8,5,10,23,8,2,10,9,18,3,10,2,4,1,10,2,4,5,18,2,4,1,10,106,4,2,19,9,4,459,},
{4,661,19,6,4,1,10,3,8,4,9,1,4,36,19,7,4,2,10,2,8,13,10,9,8,1,10,1,8,9,10,9,18,2,3,3,18,1,3,1,16,3,3,1,10,2,18,1,3,3,10,1,18,1,10,9,18,4,10,4,8,2,10,10,8,3,10,16,8,14,10,4,8,4,10,2,8,1,18,3,9,1,10,1,8,2,10,2,18,1,10,29,8,6,10,5,8,3,10,2,8,2,10,11,8,7,18,3,8,1,10,4,8,6,10,1,8,5,10,8,8,2,10,38,8,6,10,3,8,3,10,2,8,8,18,1,14,1,18,7,8,1,10,2,8,2,10,2,8,1,18,3,8,10,10,103,8,9,10,31,8,3,10,9,8,4,10,179,4,1,19,9,4,4,19,5,4,3,10,172,8,4,10,16,8,3,9,2,10,9,8,1,10,11,8,1,18,2,4,367,19,8,4,10,10,29,4,2,19,15,4,4,10,54,8,8,10,4,8,5,10,2,8,3,10,3,8,7,10,29,8,4,10,1,8,1,10,103,8,1,10,9,8,2,18,2,9,1,10,5,4,18,10,4,4,8,10,27,8,5,10,23,8,2,10,8,8,1,18,3,8,1,10,9,18,2,10,77,8,2,10,25,18,2,10,1,4,2,19,10,4,458,},
{4,661,19,6,4,1,10,3,8,3,10,2,4,1,19,5,4,30,19,7,4,2,10,3,8,11,10,6,18,2,8,1,10,5,8,7,10,9,8,1,18,1,3,5,16,2,3,2,18,2,3,1,16,1,3,1,18,1,10,1,18,1,10,9,8,1,18,1,10,1,18,1,10,3,8,4,10,10,8,2,10,6,8,3,10,6,8,15,10,3,8,4,10,4,9,1,18,2,9,1,8,2,10,2,18,2,10,21,18,4,10,5,8,5,10,5,8,2,10,3,8,2,10,4,8,1,10,7,8,6,18,3,8,1,10,4,8,2,18,1,8,9,10,8,8,2,10,37,8,14,10,2,8,4,10,3,8,2,18,7,8,1,10,2,8,2,10,2,8,13,10,107,8,4,10,34,8,2,10,11,8,3,10,178,4,1,19,9,4,4,19,5,4,3,10,173,8,2,10,16,8,4,9,2,10,9,8,2,10,11,18,2,4,27,19,6,4,6,19,6,4,322,19,8,4,10,10,29,4,2,19,15,4,4,18,1,10,4,8,1,10,1,8,2,10,22,8,2,10,12,8,2,10,7,8,9,10,2,8,6,10,3,8,11,10,31,8,2,10,24,8,4,10,27,8,1,10,61,8,1,18,2,9,1,10,4,18,1,4,18,10,4,4,8,10,27,8,4,10,22,8,1,10,1,8,1,10,10,8,4,10,9,18,1,10,6,18,1,8,1,10,67,8,6,10,25,18,1,10,1,4,4,19,8,4,458,},
{4,661,19,6,4,1,9,1,8,5,10,1,4,2,19,5,4,30,19,7,4,2,10,3,8,12,10,4,18,1,8,3,10,5,8,6,10,2,18,1,10,9,18,2,3,2,16,1,3,1,16,2,3,6,18,1,10,12,18,2,10,4,8,1,18,1,8,2,10,10,8,3,10,4,8,5,10,5,8,15,10,3,8,4,10,2,18,1,10,1,8,1,18,3,8,1,10,2,18,3,10,21,18,4,10,6,8,4,10,4,8,3,10,3,8,2,10,4,8,2,10,3,8,1,10,2,8,6,18,3,8,1,10,4,8,2,18,2,8,9,10,7,8,2,10,5,8,2,10,30,8,4,10,2,8,8,10,2,8,4,10,4,8,2,18,1,8,6,10,2,8,2,10,2,8,12,10,146,8,2,10,11,8,4,10,176,4,2,19,9,4,4,19,5,4,2,10,174,8,2,10,17,8,3,9,2,10,10,8,2,10,11,18,2,4,26,19,6,4,6,19,6,4,323,19,7,4,10,10,29,4,7,19,10,4,4,18,2,10,3,8,5,10,21,8,2,10,12,8,4,10,4,8,5,10,1,8,13,10,1,8,9,10,60,8,6,10,89,18,1,9,1,10,4,4,20,10,3,4,9,10,28,8,1,10,48,18,3,10,5,8,2,10,66,8,7,10,28,4,5,19,6,4,458,},
{4,661,19,6,4,1,9,1,8,5,4,2,19,6,4,30,19,7,4,2,10,3,8,12,10,4,8,2,18,1,8,1,10,1,8,1,10,2,8,7,10,1,18,3,8,1,10,1,8,1,18,1,8,1,10,4,18,1,3,2,16,1,3,1,16,3,3,1,18,8,10,4,9,1,18,1,10,7,18,2,8,4,10,10,8,4,10,1,8,7,10,5,8,16,10,1,8,6,10,3,8,1,18,3,9,1,8,1,10,1,18,3,10,21,9,1,18,3,10,7,8,3,10,3,8,4,10,3,8,2,10,3,8,1,18,2,8,1,10,5,8,1,18,1,8,5,18,1,8,2,10,4,8,1,18,3,8,9,10,7,8,2,10,4,8,4,10,17,8,7,10,12,8,3,10,1,8,8,10,5,8,2,18,1,8,5,10,1,8,13,18,2,8,3,10,146,8,2,10,11,8,2,10,1,8,3,10,173,4,3,19,7,4,6,19,5,4,2,10,62,9,2,10,110,8,1,10,12,8,1,10,5,8,3,9,1,10,11,8,3,10,3,8,2,10,5,18,2,4,26,19,6,4,6,19,11,4,319,19,5,4,11,10,3,9,1,10,26,18,1,4,3,10,1,4,15,18,2,10,3,8,5,10,21,8,2,10,6,8,2,10,4,8,4,10,4,8,5,10,2,8,19,10,22,8,4,10,24,8,3,10,11,8,4,10,28,8,4,10,61,4,5,19,12,4,7,10,2,4,1,19,6,4,5,10,74,18,3,10,30,18,1,10,42,8,5,10,32,4,4,19,5,4,458,},
{4,661,19,6,4,1,8,5,18,1,4,2,19,6,4,30,19,7,4,1,10,4,8,13,10,3,8,2,18,1,8,1,10,4,8,6,10,2,18,3,8,1,10,1,18,3,8,1,10,3,18,1,3,5,16,2,3,1,10,3,18,1,3,3,18,1,10,4,18,3,10,6,18,2,8,5,10,3,8,3,10,4,8,10,10,6,8,5,10,3,8,15,10,3,8,1,18,4,8,1,10,2,18,1,10,23,18,3,10,12,8,6,10,1,8,3,10,3,8,1,18,2,8,1,10,5,8,1,18,1,8,2,10,2,8,4,10,4,8,1,18,3,8,10,10,6,8,3,10,3,8,5,10,14,8,9,10,12,8,2,10,4,8,6,10,6,8,6,10,2,8,5,18,1,8,6,18,3,8,3,10,146,8,2,10,5,8,8,10,1,8,3,10,31,18,4,10,138,4,2,19,8,4,6,19,5,4,1,10,63,9,2,10,60,8,1,10,49,8,1,10,11,8,3,10,4,8,3,9,1,10,12,8,2,10,4,8,1,10,5,18,2,4,26,19,6,4,6,19,12,4,318,19,5,4,11,10,3,9,2,10,25,8,1,10,5,4,14,18,1,10,38,8,2,10,1,8,7,10,4,8,5,10,2,8,3,10,2,8,12,10,15,8,2,10,7,8,3,10,25,8,4,10,10,8,3,10,24,8,1,10,4,8,5,10,60,4,2,19,16,4,6,10,2,4,1,19,7,4,4,18,1,10,73,18,3,10,29,18,4,10,40,8,5,10,33,4,3,19,5,4,458,},
{4,661,19,6,4,1,10,1,8,4,18,1,4,2,19,6,4,30,19,6,4,2,10,4,8,8,10,3,8,1,18,1,10,3,8,4,10,3,8,6,10,4,8,1,10,3,18,4,8,1,10,1,18,1,3,4,18,1,3,3,18,1,10,2,18,1,3,1,16,2,3,1,18,1,10,5,18,2,10,1,18,3,8,3,10,1,8,5,10,3,8,4,10,3,8,9,10,7,8,5,10,3,8,9,10,1,8,3,18,2,9,1,8,1,10,1,8,1,18,3,10,4,18,1,10,23,18,3,10,11,8,15,18,2,8,1,10,5,8,1,18,1,8,2,10,3,8,3,10,4,8,14,10,6,8,3,10,3,8,5,10,13,8,11,10,18,8,6,10,5,8,6,10,2,8,4,18,3,8,4,18,5,8,2,10,146,8,2,10,4,8,9,10,36,18,2,10,32,8,1,10,105,18,1,4,3,19,7,4,6,19,5,4,1,10,63,9,1,10,18,8,2,10,102,8,4,10,3,8,4,10,7,9,1,10,5,8,3,10,3,8,1,10,5,18,2,4,26,19,4,4,9,19,11,4,318,19,6,4,10,10,30,8,1,10,5,4,15,10,41,8,7,10,5,8,4,10,8,8,10,10,16,8,2,10,9,8,1,10,26,8,3,10,11,8,1,10,25,8,2,10,3,8,5,10,60,4,2,19,17,4,5,10,2,4,1,19,7,4,4,18,1,9,1,10,72,18,3,10,30,18,3,10,1,8,1,10,38,8,5,10,33,4,3,19,6,4,457,},
{4,661,19,6,4,1,10,1,8,4,4,3,19,6,4,30,19,6,4,2,10,4,9,5,10,1,8,2,10,3,8,3,10,1,8,13,10,6,18,9,3,3,18,3,3,4,18,1,10,1,18,1,3,4,10,7,18,2,10,1,18,2,8,4,10,2,8,2,10,4,8,4,10,2,8,9,10,5,8,1,10,2,8,19,10,1,8,1,18,3,8,2,10,1,9,1,18,2,10,1,18,1,10,2,18,1,10,22,18,1,10,1,18,1,10,12,8,18,10,5,8,4,10,9,8,8,10,6,8,2,10,1,8,1,10,3,8,3,10,5,8,2,10,7,8,1,10,4,8,14,10,17,8,3,10,2,8,3,10,4,8,2,10,8,8,1,18,4,8,4,18,4,8,3,10,102,8,1,10,12,8,2,10,9,8,3,10,10,8,1,10,5,8,2,10,2,8,2,10,7,8,1,10,35,18,1,10,1,18,2,9,1,10,30,8,2,10,105,18,1,4,1,19,9,4,6,19,4,4,2,10,47,8,1,10,34,8,4,10,61,8,1,10,38,8,5,10,1,8,4,10,8,9,2,10,4,8,3,10,9,18,2,4,41,19,9,4,319,19,5,4,10,10,37,4,13,10,36,8,3,10,3,8,7,10,5,8,3,10,86,8,2,10,24,9,1,8,3,10,5,8,2,10,60,4,2,19,17,4,5,10,1,4,2,19,7,4,4,18,1,9,1,10,46,8,2,10,25,18,1,10,32,18,1,10,41,8,4,10,35,4,3,19,6,4,456,},
{4,661,19,6,4,1,18,1,10,1,9,1,10,1,4,3,19,7,4,30,19,6,4,12,8,2,10,3,8,3,10,1,18,1,8,16,10,1,18,1,3,5,18,3,14,1,3,1,16,1,3,1,18,1,10,1,3,1,16,4,3,1,18,1,10,13,18,2,10,2,8,5,10,1,8,1,10,6,8,2,10,3,8,5,18,2,8,2,10,4,8,3,10,1,8,19,10,1,8,1,9,1,18,2,8,1,10,2,8,2,18,4,10,2,18,1,10,30,8,1,10,5,8,4,10,2,8,3,10,1,8,1,18,3,8,2,10,8,8,3,10,7,8,2,10,1,8,3,10,10,8,2,10,3,8,4,10,14,8,3,10,2,8,9,10,2,8,6,10,15,8,3,10,3,8,3,10,14,8,1,18,3,8,4,18,4,8,3,10,115,8,1,10,9,8,4,10,9,8,3,10,4,8,6,10,43,18,4,10,31,8,2,10,28,8,2,10,63,4,6,10,6,4,2,19,17,4,4,10,46,8,1,10,34,8,7,10,58,8,12,10,10,8,2,10,15,8,11,10,8,9,3,10,3,8,3,10,9,18,3,4,24,10,1,4,4,18,9,4,4,19,7,4,251,19,6,4,63,19,4,4,16,10,32,8,1,18,4,10,11,9,1,10,30,8,1,18,2,8,1,10,4,8,6,10,6,8,2,10,85,8,4,10,19,8,2,9,1,10,2,8,4,10,6,8,1,10,15,4,6,10,1,4,2,10,35,4,2,19,17,4,8,19,7,4,4,10,47,8,3,10,32,18,2,10,66,8,3,10,36,4,3,19,6,4,456,},
{4,661,19,6,4,6,19,9,4,30,19,6,4,12,10,5,8,3,18,2,8,15,10,2,18,1,3,5,18,3,3,4,18,2,16,6,18,1,10,1,18,3,10,2,18,1,10,16,8,1,10,10,8,3,10,1,8,2,18,2,8,2,10,5,8,1,10,4,8,17,10,1,8,1,10,9,18,3,10,18,18,3,10,12,8,1,10,6,8,3,10,2,8,3,10,2,18,1,8,1,18,1,8,1,10,10,8,2,10,5,8,6,10,3,8,3,10,5,8,8,10,16,8,14,10,2,8,7,10,14,8,3,10,8,8,1,10,11,8,1,18,3,8,4,18,4,8,3,10,115,8,1,10,22,8,3,10,4,8,6,10,2,8,1,18,3,10,24,8,3,10,12,18,1,9,1,18,1,10,31,8,1,10,28,8,1,10,63,4,8,10,6,4,1,19,17,4,4,18,1,10,45,8,1,10,8,8,1,10,26,8,3,10,61,8,12,10,9,8,6,10,12,8,6,10,1,8,3,10,8,9,4,10,3,8,3,10,8,8,1,18,2,8,1,10,1,4,22,10,6,18,3,3,6,18,1,4,6,19,4,4,250,19,8,4,63,19,3,4,16,10,29,8,6,9,2,10,11,9,1,10,30,8,4,10,3,8,5,10,8,8,2,10,24,8,3,10,58,8,4,10,21,8,1,10,3,8,4,10,21,4,10,10,34,4,2,19,17,4,8,19,6,4,5,10,49,8,1,10,32,18,2,10,106,4,3,19,5,4,456,},
{4,661,19,6,4,5,19,9,4,32,19,5,4,12,10,4,8,1,10,1,9,1,18,2,8,3,10,4,8,7,10,3,8,1,18,9,3,2,18,1,10,1,18,1,3,1,16,5,3,1,18,1,10,4,18,1,3,2,18,1,10,8,18,2,10,7,18,1,10,33,18,2,10,2,18,2,10,17,18,3,10,11,8,6,10,1,18,4,8,3,10,11,8,2,10,5,8,5,10,1,8,1,18,1,8,2,10,7,8,1,10,9,8,2,18,1,8,1,10,5,8,5,10,1,8,5,10,4,8,1,10,19,8,25,10,12,8,1,10,21,8,2,18,1,8,4,18,4,8,2,10,70,8,4,10,41,8,3,10,2,8,2,10,9,8,3,10,5,8,1,10,14,8,1,18,1,3,2,18,1,10,23,8,3,10,51,8,1,10,87,4,8,10,6,4,5,19,13,4,4,10,1,8,1,10,44,8,2,10,6,8,1,10,23,8,2,10,3,18,1,10,65,8,1,10,6,8,1,10,12,8,3,10,2,8,1,10,12,8,3,10,14,8,1,10,5,8,3,10,8,8,1,18,2,10,1,8,1,18,1,4,21,10,4,18,13,4,9,19,6,4,244,19,8,4,19,19,3,4,40,19,5,4,15,10,3,8,3,10,5,8,4,10,6,8,2,10,6,8,7,10,4,8,2,10,38,8,2,10,3,8,5,10,34,8,4,10,88,8,3,10,20,4,2,19,4,4,5,10,34,4,2,19,18,4,8,19,3,4,7,10,69,8,1,10,14,8,1,10,105,4,2,19,7,4,455,},
{4,662,19,6,4,4,19,9,4,34,19,2,4,13,10,6,18,3,8,3,10,4,8,3,10,1,8,2,10,3,18,5,10,1,18,5,3,2,10,2,18,1,3,1,16,3,3,3,18,1,10,3,18,1,3,4,18,3,10,6,18,1,10,6,18,3,10,32,18,2,10,2,18,2,10,2,18,1,10,23,8,19,10,10,8,4,10,3,8,6,10,2,18,2,8,1,10,3,8,2,10,2,18,1,8,1,10,8,8,4,10,4,8,6,10,1,8,5,10,4,8,1,10,19,8,30,10,29,8,8,18,3,8,2,10,69,8,6,10,40,8,1,10,15,8,3,10,18,8,1,10,2,18,1,3,2,18,1,10,2,8,1,10,2,8,1,10,18,8,1,10,18,18,2,10,4,8,2,10,2,8,3,10,20,8,3,10,86,4,8,18,1,10,8,4,2,19,13,4,3,10,2,8,1,10,18,8,2,10,12,9,2,10,11,8,1,10,31,8,1,10,81,8,2,10,10,8,3,10,11,8,2,10,13,8,3,10,4,8,4,10,8,8,1,3,2,10,1,8,1,4,4,18,1,10,4,4,13,10,3,18,3,8,1,9,1,8,5,18,9,4,5,19,5,4,244,19,8,4,3,18,3,4,12,19,4,4,40,19,5,4,15,10,2,8,4,10,5,8,4,10,6,8,2,10,7,8,5,10,5,8,4,10,12,8,1,10,27,8,6,10,7,8,2,10,19,8,3,10,4,8,3,10,50,8,1,10,37,8,5,10,18,4,1,19,6,4,4,10,34,4,2,19,9,4,15,19,1,4,11,10,14,18,1,10,60,8,9,18,2,10,17,18,1,10,86,4,3,19,7,4,454,},
{4,662,19,6,4,4,19,8,4,43,19,5,4,2,10,7,18,2,8,3,10,3,8,4,10,1,8,3,10,2,18,2,3,1,18,4,3,2,18,2,3,2,18,1,10,1,9,1,18,2,3,1,18,1,3,3,18,2,3,2,18,1,3,7,18,1,10,11,18,4,10,32,18,2,10,2,18,2,10,27,8,18,10,4,8,3,10,3,8,12,10,3,8,4,10,1,8,3,10,2,8,2,10,8,8,3,10,4,8,4,10,5,8,4,10,4,8,2,10,19,8,36,10,8,8,2,10,12,8,9,18,2,8,2,10,3,8,1,10,19,8,1,10,45,8,6,10,56,8,3,10,2,8,4,10,12,8,2,10,1,8,1,18,2,10,2,8,3,10,39,18,2,10,8,8,7,10,35,18,2,10,68,4,2,19,5,4,1,18,1,10,9,4,1,19,13,4,1,10,23,8,2,10,73,9,3,10,63,8,2,10,11,8,1,10,12,8,2,10,14,8,2,10,4,8,3,10,9,8,1,3,2,18,1,10,1,18,3,10,2,8,1,10,37,18,4,4,2,19,5,4,244,19,8,4,2,10,1,18,2,4,13,19,4,4,40,19,5,4,7,10,1,4,7,10,4,8,3,10,4,8,4,10,14,8,6,10,5,8,2,10,39,8,10,10,5,8,4,10,18,8,2,10,6,8,1,10,51,8,1,10,37,8,9,10,5,8,1,10,8,4,1,19,6,4,4,10,31,4,5,19,8,4,12,19,6,4,2,10,82,8,9,18,3,10,104,4,2,19,8,4,454,},
{4,662,19,5,4,5,19,8,4,42,19,6,4,2,18,2,10,4,8,7,10,1,8,4,10,8,18,2,8,1,10,1,18,2,3,1,18,3,3,2,18,1,10,4,18,3,3,2,18,7,3,5,18,1,10,7,18,2,10,2,18,3,10,33,18,2,10,2,18,2,10,27,8,9,10,2,8,7,10,3,8,5,10,1,8,13,10,3,8,6,18,1,8,2,10,11,8,2,10,2,8,6,10,6,8,10,10,21,8,7,10,2,8,25,10,5,8,5,10,13,8,12,10,10,8,3,10,10,8,1,10,26,8,2,10,17,8,5,10,5,8,2,10,54,8,5,10,12,8,2,10,5,8,4,10,39,18,2,10,8,8,7,10,35,18,2,10,60,18,2,10,6,4,2,19,5,4,1,10,1,18,1,10,8,4,1,19,12,4,2,10,23,8,2,10,28,8,2,10,43,9,1,10,64,8,3,10,25,8,1,10,15,8,1,10,5,8,3,10,8,8,1,3,2,18,6,10,15,8,1,10,24,18,4,4,2,19,4,4,244,19,8,4,2,10,1,18,2,4,13,19,4,4,40,19,4,4,7,10,3,4,5,18,2,8,1,10,4,8,2,10,4,8,3,10,12,8,9,10,44,8,9,10,1,8,2,10,2,8,7,10,17,8,2,10,96,8,11,10,13,4,1,19,5,4,4,10,30,4,6,19,9,4,11,19,6,4,2,10,65,8,3,10,7,8,3,10,2,8,11,18,1,8,1,18,1,10,104,4,2,19,7,4,455,},
{4,662,19,6,4,4,19,8,4,41,19,7,4,2,18,3,10,3,8,11,10,7,8,1,10,6,18,1,3,1,18,1,10,2,18,2,10,1,18,1,10,1,18,2,3,5,10,7,18,1,3,3,18,2,10,2,18,1,10,44,18,2,10,2,18,2,10,26,8,10,10,2,8,6,10,5,8,1,10,1,8,2,10,1,8,12,10,2,8,11,10,10,8,3,10,2,8,6,10,5,8,11,10,23,8,5,10,3,8,5,10,1,8,17,10,5,8,5,10,8,8,5,10,2,8,10,10,10,8,4,10,37,8,3,10,17,8,4,10,6,8,1,10,38,8,1,10,15,8,4,10,13,8,2,10,4,8,5,10,44,8,13,10,95,18,3,10,5,18,1,4,2,19,5,4,1,10,1,18,1,10,8,4,1,19,12,4,1,10,24,8,2,10,27,8,3,10,109,8,1,10,48,8,4,10,5,8,2,18,1,3,2,18,2,3,1,18,3,10,40,8,1,18,3,4,3,19,3,4,244,19,5,4,21,19,4,4,40,19,4,4,4,10,9,18,4,8,1,10,4,8,1,10,5,8,3,10,9,8,12,10,37,8,3,10,4,8,8,10,3,8,10,10,4,8,2,10,11,8,2,10,97,8,9,10,14,4,10,10,30,4,6,19,9,4,9,19,8,4,2,10,65,8,3,10,6,8,2,18,2,8,1,10,1,8,11,18,1,8,1,18,1,10,104,4,2,19,7,4,455,},
{4,662,19,6,4,4,19,8,4,40,19,8,4,3,18,2,10,3,8,10,10,8,18,1,10,3,18,2,10,1,18,3,10,4,18,2,10,1,18,1,3,6,10,1,18,2,10,5,18,3,10,3,9,1,18,1,10,48,18,2,10,25,8,2,18,2,8,7,10,2,8,5,10,6,8,1,10,1,8,4,10,4,8,6,10,3,8,1,18,1,8,13,10,6,8,1,10,4,9,1,18,2,8,2,10,4,8,13,10,23,8,4,10,5,8,21,10,5,8,5,10,7,8,7,10,3,8,1,18,1,8,3,10,14,8,4,10,37,8,1,10,19,8,3,10,45,8,7,10,26,8,3,10,4,8,4,10,37,18,1,10,9,8,6,18,1,8,4,10,9,8,2,10,84,18,1,10,1,18,1,10,5,18,1,4,2,19,5,4,1,18,2,10,8,4,1,19,12,4,1,10,1,18,1,10,23,8,2,10,27,8,1,10,25,8,2,10,45,8,2,10,85,8,4,10,5,8,1,18,1,14,1,3,6,18,2,10,8,8,3,10,32,18,1,4,250,19,5,4,23,19,2,4,40,19,4,4,3,18,1,10,9,9,1,18,3,8,1,10,11,8,2,10,9,8,12,10,36,8,5,10,3,8,6,10,5,8,2,10,4,8,6,10,1,8,3,10,46,8,1,10,67,8,4,10,15,4,9,10,29,4,8,19,10,4,8,19,8,4,2,10,25,8,1,10,47,8,3,18,2,8,14,18,2,10,30,18,1,10,72,4,3,19,6,4,456,},
{4,662,19,6,4,4,19,8,4,40,19,9,4,3,18,1,10,3,8,10,10,6,8,1,18,2,10,7,18,1,10,4,18,1,10,3,18,1,3,5,18,1,10,28,18,1,10,44,18,1,10,17,8,2,18,3,8,5,10,3,8,5,10,8,8,4,10,5,8,4,10,4,18,1,8,8,10,1,8,5,10,6,8,1,10,3,8,1,18,2,9,1,8,1,10,4,8,14,10,20,8,8,10,2,8,22,10,5,8,4,10,9,8,2,18,3,8,2,10,3,8,1,18,2,8,2,10,13,8,4,10,106,8,5,10,28,8,2,10,5,8,4,10,36,18,2,10,10,8,5,10,1,8,3,10,9,8,4,10,83,18,1,10,1,18,1,10,4,18,1,10,1,4,2,19,5,4,1,18,1,10,8,4,2,19,11,4,2,10,1,18,1,10,25,8,1,10,33,8,2,10,17,8,2,10,2,8,3,10,40,8,1,10,81,8,3,10,3,8,4,10,4,8,1,14,1,3,7,18,2,10,4,8,6,10,34,18,4,4,246,19,5,4,65,19,4,4,3,18,1,10,10,8,1,18,2,8,1,10,21,8,12,10,38,8,4,10,3,8,5,10,13,8,6,10,31,8,2,10,16,8,2,10,8,8,1,10,107,4,10,19,15,4,8,19,7,4,3,10,25,8,2,10,43,8,23,10,103,4,4,19,5,4,457,},
{4,662,19,6,4,4,19,8,4,40,19,10,4,3,10,3,8,10,10,6,8,1,18,1,10,8,18,1,10,3,18,2,10,3,9,1,3,3,18,5,3,2,18,1,10,3,18,5,9,1,10,11,18,4,9,1,10,43,18,3,10,14,8,3,18,3,8,4,10,5,8,4,10,6,8,9,10,10,18,2,8,1,10,1,8,5,10,1,8,5,10,6,8,1,10,3,9,1,18,2,9,1,10,4,8,13,10,20,8,33,10,5,8,5,10,2,8,1,10,7,8,2,18,2,8,2,10,3,8,1,18,2,8,2,10,11,8,6,10,106,8,4,10,28,8,3,10,5,8,3,10,37,9,1,18,1,10,7,8,1,10,2,8,7,10,1,8,1,10,8,8,5,10,83,18,1,10,1,18,1,10,4,18,1,10,1,4,3,19,4,4,1,10,8,4,3,19,11,4,2,18,2,10,25,8,2,10,51,8,2,10,4,8,1,10,51,8,3,10,68,8,3,10,3,8,3,10,5,18,1,14,1,3,4,18,4,8,7,10,39,8,1,18,3,4,245,19,5,4,7,18,1,4,57,19,5,4,3,10,33,9,1,8,6,10,6,8,1,10,19,8,1,10,18,8,4,10,4,8,4,10,13,8,5,10,33,8,1,10,25,8,3,10,105,4,8,19,18,4,8,19,6,4,4,10,24,8,5,10,40,8,7,10,2,8,15,10,103,4,4,19,5,4,457,},
{4,662,19,7,4,3,19,8,4,40,19,9,4,3,10,4,8,5,10,1,8,4,10,10,8,1,18,7,10,2,3,2,18,1,10,3,3,2,18,1,9,1,18,1,3,2,16,3,18,1,10,1,18,1,10,1,9,1,18,4,10,10,18,8,10,20,18,2,10,15,18,1,10,4,18,4,10,13,8,9,10,7,8,3,10,5,8,12,10,7,8,3,10,3,8,1,18,1,8,7,10,7,8,1,10,3,9,1,18,2,8,1,10,4,8,6,10,4,8,2,10,20,8,34,10,4,8,5,10,13,8,4,10,3,8,11,10,5,8,5,10,107,8,3,10,29,8,3,10,5,8,2,10,17,18,2,10,32,8,5,10,7,8,3,10,1,8,4,10,84,18,1,10,1,18,1,10,4,18,1,10,1,4,8,10,8,4,1,19,13,4,2,18,1,10,26,8,2,10,12,18,2,10,53,8,1,10,40,8,4,10,69,8,2,10,3,8,2,10,6,18,1,14,1,3,1,14,1,18,2,8,3,10,1,8,7,10,41,8,1,18,2,4,244,19,5,4,7,18,1,4,57,19,5,4,3,10,32,8,7,10,25,8,4,10,17,8,4,10,4,8,3,10,14,8,5,10,59,8,4,10,53,8,3,10,48,4,7,19,13,4,14,19,6,4,4,10,24,8,5,10,40,8,2,18,2,8,2,10,3,8,15,10,103,4,3,19,5,4,458,},
{4,663,19,6,4,3,19,8,4,41,19,8,4,3,10,4,8,5,10,1,8,4,10,7,8,1,18,4,3,5,18,3,3,3,18,1,10,2,18,2,10,2,18,1,3,1,16,4,3,1,10,1,18,1,10,2,18,1,10,9,18,1,10,2,18,3,10,2,18,5,10,17,18,3,10,2,18,2,10,12,18,1,10,4,18,3,10,14,8,10,10,8,8,1,10,5,8,12,10,6,8,3,10,4,8,1,18,2,8,5,10,7,8,2,10,2,8,5,10,5,8,5,10,12,8,4,10,9,8,35,10,3,8,5,10,15,8,4,10,2,8,11,10,6,8,5,10,138,8,2,10,59,8,5,10,7,8,3,10,2,8,2,10,29,9,1,10,55,18,3,10,4,18,2,4,8,10,7,4,2,19,12,4,2,10,41,18,1,10,55,8,1,10,74,8,3,10,26,8,2,10,20,8,1,18,3,8,2,10,7,8,4,10,45,18,6,4,241,19,1,4,8,18,2,4,56,19,5,4,3,10,32,8,6,10,25,8,5,10,18,8,3,10,5,8,2,10,14,8,5,10,59,8,3,9,2,10,50,8,12,10,39,18,1,4,7,19,14,4,14,19,6,4,4,10,24,8,5,10,39,8,7,10,3,8,15,10,103,4,3,19,4,4,459,},
{4,664,19,5,4,3,19,8,4,42,19,7,4,3,10,4,8,5,10,1,8,5,10,5,18,4,8,1,18,1,3,6,18,1,10,1,18,1,3,3,18,4,10,2,18,1,3,1,16,3,3,1,18,1,10,5,18,2,10,7,18,5,10,5,18,4,10,21,18,1,10,1,18,3,10,31,8,12,10,14,8,10,10,6,8,3,10,3,8,2,18,1,8,6,10,7,8,2,10,2,8,8,10,3,8,3,10,6,8,3,10,4,8,4,10,9,8,23,18,1,8,11,10,3,8,4,10,16,8,5,10,2,8,4,10,3,8,2,10,7,8,6,10,103,8,2,10,32,8,1,10,60,8,5,10,7,8,3,10,32,9,1,8,2,10,17,18,1,10,36,18,3,10,21,4,2,19,11,4,2,10,42,18,3,10,128,8,3,10,26,8,4,10,9,8,1,10,6,8,5,10,61,18,9,4,251,19,3,4,49,19,5,4,2,10,8,8,2,10,23,9,1,8,4,10,26,8,5,10,2,8,1,10,15,8,3,10,21,8,3,10,116,8,13,10,36,4,5,19,19,4,14,19,6,4,4,10,66,8,5,10,4,8,18,10,102,18,1,4,2,19,4,4,460,},
{4,664,19,5,4,3,19,8,4,42,19,7,4,3,10,4,8,5,10,2,8,5,10,4,18,6,3,6,10,2,18,1,3,6,18,1,10,1,9,1,3,1,16,2,3,2,18,1,9,1,10,5,3,2,10,7,18,4,10,2,18,2,10,3,18,3,10,23,18,4,10,10,18,2,10,14,8,16,10,16,8,8,10,6,8,4,10,2,8,10,10,5,8,3,10,2,8,9,10,11,8,4,10,3,8,4,10,10,8,4,10,9,8,28,10,16,8,10,10,14,8,5,10,66,8,2,10,32,8,5,10,38,8,2,10,47,18,2,8,1,10,2,8,1,10,13,8,1,10,27,8,3,10,3,9,1,8,1,10,18,18,1,10,37,18,2,10,20,4,3,19,11,4,2,10,37,9,1,10,4,18,3,9,1,10,20,8,2,10,40,8,1,10,64,8,3,10,26,8,4,10,9,8,1,10,6,8,1,18,2,8,1,10,3,8,1,10,61,18,13,4,243,19,4,4,49,19,4,4,2,10,9,8,2,10,24,8,3,10,29,8,6,10,16,8,1,10,141,8,14,10,35,4,3,19,21,4,14,19,4,4,6,10,65,8,5,10,5,8,4,10,4,8,8,10,49,18,1,10,50,8,1,10,3,18,1,4,2,19,4,4,460,},
{4,664,19,5,4,3,19,8,4,42,19,7,4,3,10,4,8,5,10,3,8,4,10,4,8,1,18,3,3,2,18,6,10,2,18,1,3,2,16,3,3,2,18,1,3,1,16,3,3,1,18,1,10,6,18,1,3,2,18,1,10,7,18,2,10,2,18,3,10,4,18,1,9,1,18,2,10,19,18,6,10,10,18,2,10,14,8,16,10,4,8,2,10,10,8,3,10,3,8,2,10,7,8,16,10,4,8,2,10,3,8,1,18,1,8,1,10,1,8,2,18,2,8,1,10,11,8,4,10,3,8,4,10,24,8,11,10,3,8,4,10,2,8,6,10,16,8,11,10,11,8,1,10,2,8,5,10,66,8,2,10,34,8,3,10,38,8,2,10,47,18,3,10,2,8,1,10,41,8,5,10,81,4,3,19,11,4,2,10,44,18,1,10,156,8,5,10,15,8,2,18,1,8,1,10,67,8,10,18,4,4,241,19,4,4,55,10,9,8,2,10,24,9,1,8,2,10,32,8,3,10,159,8,5,10,2,8,5,10,36,4,3,19,21,4,24,10,65,8,4,10,6,8,4,10,5,8,7,10,49,18,1,10,51,8,2,9,1,18,1,4,1,19,4,4,461,},
{4,664,19,5,4,3,19,8,4,42,19,7,4,3,10,4,8,6,10,2,8,1,9,1,18,1,9,1,10,4,18,3,3,3,18,1,10,3,18,2,10,2,3,3,16,4,3,3,16,3,3,1,18,1,10,6,18,3,10,8,18,1,9,1,10,2,18,1,3,1,18,2,10,5,18,3,10,22,18,2,10,2,18,1,10,7,18,2,10,13,8,16,10,4,8,4,10,15,8,4,10,9,8,12,10,4,8,1,10,2,18,1,10,1,9,1,18,1,9,1,10,1,8,1,10,1,8,1,10,2,8,1,10,5,8,3,10,3,8,3,10,3,8,4,10,44,8,7,10,16,8,10,10,9,8,10,10,4,8,2,10,1,4,8,10,51,8,1,10,75,8,2,10,42,18,1,10,5,18,1,10,1,18,1,10,2,8,2,10,12,8,1,10,26,8,2,18,1,8,3,10,16,18,1,10,64,4,2,19,12,4,2,10,44,9,1,10,60,8,1,10,96,8,4,10,15,8,4,10,77,8,2,18,3,4,1,18,8,4,231,19,4,4,55,10,36,8,2,10,14,8,1,10,42,8,1,10,55,8,1,10,81,8,3,10,4,8,3,10,37,4,2,19,22,4,23,10,75,8,7,10,4,8,5,10,103,18,3,4,2,19,3,4,461,},
{4,664,19,6,4,2,19,8,4,42,19,7,4,3,10,4,8,6,10,2,8,1,9,1,18,2,10,3,18,2,3,1,18,1,3,3,18,1,10,3,3,2,10,1,18,1,3,4,16,3,3,6,18,3,10,4,4,6,10,6,18,2,10,2,18,1,3,1,18,1,10,2,18,1,10,4,18,3,10,21,18,2,10,2,18,1,10,17,8,2,10,4,8,4,10,15,8,6,10,4,8,4,10,5,8,5,10,9,8,9,10,5,8,2,10,1,18,2,10,1,9,1,18,2,8,2,10,3,8,1,18,1,8,1,10,3,8,4,10,9,8,1,10,47,8,8,10,4,8,1,10,11,8,10,10,6,8,12,10,4,8,1,10,1,4,11,9,1,10,123,8,3,10,5,8,1,10,36,18,2,10,4,18,3,10,2,8,2,10,12,8,1,10,21,8,1,10,5,8,3,10,18,18,2,10,33,18,1,10,20,18,1,10,7,4,3,19,11,4,2,10,44,18,2,10,32,8,1,10,26,8,1,18,1,8,1,10,94,8,4,10,100,18,8,3,3,18,1,4,217,10,3,18,1,10,3,18,2,4,3,19,7,4,53,10,6,8,2,10,5,8,4,10,19,9,1,8,1,10,13,8,2,10,42,8,1,10,54,8,2,10,45,8,1,10,35,8,3,10,4,8,3,10,37,4,2,19,22,4,2,10,92,8,12,10,3,8,5,10,103,18,2,4,3,19,3,4,12,19,9,4,440,},
{4,664,19,6,4,2,19,8,4,42,19,7,4,3,10,4,8,6,10,3,9,1,18,2,8,1,10,2,8,1,18,3,3,1,16,1,3,1,18,1,10,2,18,1,3,2,10,1,18,1,3,2,10,2,3,7,18,5,10,4,4,6,10,2,18,2,9,1,10,1,9,1,10,3,18,2,10,3,18,1,10,4,18,3,10,21,18,2,10,2,18,1,10,16,8,4,10,4,8,2,10,15,8,17,10,2,8,6,10,8,8,10,10,3,18,2,8,1,10,3,18,1,10,2,18,2,8,1,10,6,8,2,10,2,8,4,10,9,8,1,10,1,8,1,10,47,8,7,10,15,8,5,10,2,8,3,10,4,8,14,10,3,8,1,18,1,4,2,19,8,4,2,10,6,8,1,10,117,8,3,10,5,8,1,10,42,18,1,10,4,8,3,10,10,8,2,10,11,8,1,10,35,18,3,10,34,18,2,10,25,4,4,19,11,4,1,10,38,18,2,10,6,18,1,10,13,8,3,10,15,8,2,10,26,8,2,10,123,8,2,10,78,18,5,3,3,18,2,4,215,10,3,18,1,9,2,10,1,18,2,4,3,19,8,4,51,18,1,10,7,8,1,10,5,8,4,10,35,8,1,10,98,8,1,10,81,8,2,10,5,8,2,10,38,4,2,19,22,4,2,10,43,8,2,10,47,8,6,10,1,8,5,10,3,8,5,10,103,18,1,4,4,19,3,4,9,19,12,4,440,},
{4,664,19,6,4,1,19,9,4,42,19,8,4,2,10,4,8,5,10,5,8,2,18,1,8,1,10,3,18,2,3,3,18,1,10,1,3,3,18,1,10,2,18,2,10,3,18,2,3,3,18,2,3,1,18,2,10,2,18,3,4,6,10,2,18,3,10,9,18,2,10,48,8,4,10,5,8,5,10,9,8,3,18,2,8,3,10,3,8,7,18,1,8,7,10,9,8,4,10,3,8,6,18,1,3,3,18,1,10,6,18,1,10,7,8,1,10,1,8,1,10,5,8,1,10,8,8,6,10,24,8,1,10,22,8,4,10,14,8,5,10,8,8,1,10,1,8,13,10,5,18,1,4,2,19,8,4,2,10,2,18,5,10,113,8,2,10,51,18,3,10,5,8,2,18,1,10,9,8,2,10,11,8,1,10,29,18,9,10,35,18,2,10,17,18,1,10,6,4,2,19,13,4,1,10,38,18,2,8,2,10,3,8,2,10,9,8,7,10,44,8,1,10,207,8,1,18,1,3,4,18,1,4,208,19,3,4,3,10,1,18,1,9,2,10,2,4,6,19,8,4,50,18,2,9,1,10,11,8,1,10,32,8,5,10,104,8,3,10,19,18,1,4,5,10,10,9,1,8,1,10,39,8,2,10,3,8,3,10,39,4,3,19,21,4,2,10,85,8,2,10,5,8,11,10,4,8,6,10,92,8,3,10,5,8,2,18,1,4,2,19,6,4,5,19,16,4,439,},
{4,664,19,16,4,42,19,7,4,3,10,4,8,5,10,6,8,1,18,2,8,1,10,3,18,1,3,3,10,2,3,3,10,3,18,2,10,2,9,1,18,2,3,3,18,2,3,2,9,1,10,4,18,1,4,6,10,2,18,2,10,10,18,1,10,49,8,2,10,3,8,2,10,15,8,4,18,3,8,1,10,5,8,3,10,2,8,2,18,1,8,4,10,9,8,5,10,5,8,6,3,1,16,2,3,1,10,1,18,1,10,5,18,1,10,24,8,6,10,22,8,3,10,22,8,3,10,13,8,6,10,8,8,1,10,3,8,3,10,5,8,1,10,7,18,1,4,2,19,8,4,2,10,2,18,4,10,17,8,2,10,95,8,1,10,45,8,1,10,6,18,2,10,7,18,2,8,1,10,7,8,3,10,11,8,1,10,29,18,8,10,36,18,1,10,18,18,1,10,6,4,2,19,13,4,1,10,39,8,10,10,7,8,5,10,256,18,1,3,4,18,1,4,203,19,7,4,3,18,3,10,3,4,6,19,8,4,50,18,1,8,2,10,10,8,1,10,33,8,5,10,104,8,2,10,20,18,1,4,5,10,9,8,3,10,44,8,3,10,11,8,2,10,26,4,3,19,20,4,3,10,84,8,1,18,1,8,2,10,4,8,11,10,4,8,6,10,52,18,1,10,22,8,1,10,21,8,1,10,3,18,1,4,3,19,6,4,4,19,17,4,439,},
{4,664,19,16,4,42,19,8,4,2,10,4,8,6,10,4,8,2,18,2,8,1,10,4,18,1,3,2,10,2,3,2,18,1,10,3,18,1,3,7,18,3,3,3,9,1,10,5,4,6,18,1,10,23,18,1,10,40,8,7,10,13,8,9,10,5,8,3,10,1,8,3,18,1,8,6,10,16,8,5,18,1,10,1,3,4,10,4,18,1,10,2,18,1,10,23,8,7,10,23,8,1,10,22,8,5,10,13,8,4,10,29,4,3,19,8,4,2,10,2,4,6,10,9,8,1,10,5,8,3,10,139,8,1,10,13,8,1,10,2,18,2,10,8,8,1,18,1,8,1,10,84,18,1,10,26,4,3,19,11,4,2,10,20,8,1,10,18,8,10,10,7,8,4,10,59,8,1,10,23,8,1,10,173,18,3,3,2,18,2,4,5,19,4,4,193,19,7,4,3,18,2,9,1,10,1,4,8,19,8,4,41,19,6,4,2,18,2,8,1,10,45,8,4,10,52,4,7,10,60,9,1,18,2,10,5,4,6,10,56,8,3,10,40,4,3,19,18,4,2,10,10,8,2,10,74,8,3,10,4,8,3,18,1,8,3,10,1,8,5,10,2,8,7,10,101,4,3,19,5,4,3,19,20,4,439,},
{4,664,19,16,4,42,19,8,4,2,10,4,8,2,10,3,8,4,10,1,8,5,10,1,18,2,8,1,18,1,3,2,10,1,18,1,3,2,18,1,10,3,18,1,3,2,16,1,3,1,16,2,3,1,18,1,10,1,18,1,3,2,18,1,9,1,10,1,18,2,10,1,18,1,4,6,18,1,10,23,18,1,10,43,8,5,10,11,8,9,10,6,8,1,10,3,8,11,10,16,8,4,18,1,10,1,18,1,3,2,18,1,10,3,8,1,18,1,10,2,18,1,10,22,8,2,10,1,8,5,10,47,8,4,10,47,4,2,19,7,4,3,10,2,4,6,18,1,10,8,8,3,10,4,8,2,10,106,8,1,10,49,8,2,10,8,8,3,10,53,18,1,10,30,18,2,10,25,4,3,19,10,4,3,10,40,8,1,10,1,18,2,8,2,10,2,8,1,10,69,8,3,10,11,8,1,10,6,8,1,10,2,8,2,10,175,18,5,4,4,19,6,4,192,19,8,4,2,18,2,9,1,10,1,4,8,19,8,4,40,19,7,4,3,18,1,9,1,10,53,8,3,10,6,8,1,10,37,4,8,10,59,9,3,18,1,9,1,10,4,4,6,10,56,8,3,10,41,4,2,19,18,4,2,10,10,8,2,10,75,8,2,10,2,8,3,18,4,8,2,10,1,8,14,10,101,4,1,19,7,4,2,19,4,4,2,19,15,4,439,},
{4,664,19,16,4,42,19,7,4,3,10,3,8,3,10,3,8,4,10,4,8,2,10,1,18,1,3,5,18,1,3,4,18,1,10,2,18,1,3,5,16,1,3,1,18,1,10,1,18,2,3,1,18,1,10,2,18,4,4,6,10,25,18,1,10,13,18,1,10,29,8,4,10,10,8,3,18,2,8,3,10,5,8,4,10,3,8,11,10,20,8,1,10,2,8,1,18,2,10,4,8,1,10,5,18,1,10,20,8,1,10,1,8,6,10,46,8,4,10,19,8,1,10,27,4,3,19,5,4,4,10,2,4,6,18,3,10,7,8,2,10,5,8,1,10,101,8,1,10,4,8,1,10,16,8,3,10,30,8,2,10,8,8,2,10,38,18,2,10,45,18,2,10,23,18,2,4,3,19,9,4,4,10,36,8,1,10,5,18,4,10,23,8,3,10,17,8,1,10,28,8,3,10,18,8,1,10,2,8,2,10,2,8,2,10,172,18,4,4,4,19,8,4,190,19,7,4,3,18,2,10,2,4,8,19,8,4,40,19,6,4,3,18,2,10,53,8,4,10,15,8,3,10,26,4,8,10,59,9,1,10,2,9,1,10,5,4,6,10,56,8,3,10,41,4,2,19,12,4,8,10,87,8,7,18,4,8,16,10,101,18,1,4,1,19,7,4,2,19,4,4,3,19,2,4,2,19,3,4,2,19,5,4,439,},
{4,665,19,15,4,42,19,8,4,2,10,3,8,3,10,3,8,4,10,5,8,1,10,1,18,1,3,10,18,1,10,3,18,2,3,5,18,1,10,2,18,4,10,1,9,1,10,3,4,7,10,38,18,1,10,31,8,3,10,7,8,6,18,2,8,2,10,4,8,4,10,4,8,11,10,21,8,1,18,1,10,7,8,1,10,5,18,1,8,1,10,6,8,1,10,12,8,8,10,47,8,2,10,20,8,2,10,26,4,5,19,2,4,5,10,2,4,6,18,4,10,7,8,1,10,59,8,1,10,46,8,2,10,4,8,1,10,16,8,1,18,2,10,4,4,5,10,8,4,4,10,59,18,2,10,48,18,1,10,12,18,1,10,3,4,5,18,1,4,4,19,5,4,8,10,4,18,2,10,30,8,1,10,5,18,2,10,1,18,2,10,22,8,2,10,47,8,3,10,18,8,4,10,3,8,2,10,173,8,3,18,1,4,3,19,8,4,191,19,7,4,2,18,2,10,2,4,8,19,8,4,40,19,6,4,3,18,2,10,53,8,4,10,14,8,4,10,23,4,11,10,68,4,6,10,64,8,1,10,35,4,3,19,10,4,9,10,87,8,7,18,5,8,15,10,101,4,2,19,7,4,2,19,4,4,13,19,4,4,439,},
{4,666,19,14,4,42,19,7,4,2,10,4,8,3,10,3,8,5,10,7,3,7,18,2,3,1,18,1,10,1,18,1,4,2,18,2,3,3,18,1,9,1,10,3,18,4,10,4,4,14,18,2,10,29,18,1,10,32,8,1,10,7,8,8,18,2,8,1,10,4,8,4,10,4,8,12,10,20,8,1,18,1,9,1,10,2,18,8,8,1,10,2,8,1,10,19,8,8,10,60,8,2,10,6,8,3,10,27,4,1,18,1,4,8,18,1,10,2,4,6,18,4,10,7,8,1,10,51,8,1,10,53,8,3,10,4,8,1,10,16,18,2,4,6,19,1,4,6,10,3,4,9,10,57,18,1,10,46,18,1,10,1,18,1,10,12,4,22,10,8,18,2,10,38,18,1,10,2,18,1,10,22,8,2,10,6,8,1,10,18,8,3,10,19,8,2,10,19,8,3,10,4,8,1,10,177,18,1,4,3,19,12,4,188,19,6,4,14,19,6,4,42,19,6,4,1,18,3,8,1,10,12,8,2,10,57,8,2,9,1,10,11,8,2,10,7,4,8,19,3,4,4,10,18,8,1,10,49,18,1,10,68,8,2,10,36,4,19,10,85,18,4,8,8,18,6,8,12,10,91,8,2,10,7,4,4,19,5,4,2,19,6,4,3,10,6,4,4,19,4,4,439,},
{4,666,19,14,4,42,19,7,4,1,10,5,8,4,10,2,8,8,10,4,18,1,3,1,16,1,3,3,18,1,10,2,18,2,10,2,4,4,18,5,10,3,18,2,3,1,18,1,10,4,4,15,18,2,10,61,8,1,10,6,8,9,18,2,8,1,10,4,8,3,10,8,8,10,10,11,8,3,10,5,9,1,18,2,10,2,18,6,3,1,18,2,10,22,8,8,10,59,8,4,10,5,8,3,10,28,18,1,10,7,18,3,10,1,4,6,18,5,10,15,8,3,10,12,8,4,10,24,8,2,10,52,8,3,10,21,18,1,4,6,19,6,4,2,10,2,4,2,19,6,4,2,10,88,18,2,10,15,18,1,10,12,4,4,19,6,4,10,10,11,18,1,10,19,8,1,10,19,18,3,10,30,8,3,10,17,8,3,10,41,8,1,10,184,4,4,19,13,4,186,19,6,4,14,19,6,4,42,19,5,4,2,18,2,8,1,10,12,8,3,10,58,8,1,10,12,8,2,10,6,4,2,19,10,4,4,10,18,8,1,10,27,8,3,10,7,8,1,10,11,9,3,10,56,8,2,10,8,8,2,10,21,8,2,10,14,4,18,10,85,18,6,8,5,10,1,8,4,18,3,8,7,10,1,8,3,10,92,8,1,10,7,4,4,19,5,4,2,19,6,4,2,10,8,4,2,19,5,4,439,},
{4,666,19,14,4,42,19,7,4,2,10,3,8,5,10,1,8,9,10,4,18,1,3,5,18,2,10,5,4,6,18,1,3,1,18,5,3,3,10,2,18,2,4,15,18,1,10,61,8,2,10,6,8,9,18,1,8,1,10,6,8,1,10,9,8,11,10,9,8,6,10,2,8,1,9,1,10,4,18,6,3,1,18,2,10,22,8,7,10,60,8,4,10,5,8,2,10,37,18,3,10,8,18,4,10,15,8,3,10,12,8,4,10,24,8,3,10,47,8,1,10,3,8,2,10,23,4,2,19,10,4,2,10,2,4,2,19,6,4,2,10,86,8,1,10,31,4,4,19,6,4,10,10,30,8,2,10,20,18,1,10,4,8,1,10,18,18,1,10,7,8,4,10,246,4,6,19,10,4,186,19,6,4,15,19,5,4,42,19,5,4,2,18,2,8,1,10,12,8,3,10,71,8,2,10,6,4,2,19,10,4,4,10,47,8,2,10,7,8,1,10,71,8,1,10,8,8,3,10,20,8,3,10,13,4,18,10,87,18,4,10,5,8,1,10,4,8,2,10,10,8,1,10,101,4,4,19,5,4,2,19,5,4,3,10,7,18,1,4,3,19,4,4,439,},
{4,666,19,14,4,42,19,7,4,1,10,4,8,14,18,1,10,2,18,3,3,4,18,4,10,2,18,1,3,1,18,1,4,5,3,2,18,5,3,3,18,2,3,1,18,1,4,16,10,7,18,2,10,60,8,3,10,1,8,7,10,17,8,12,10,7,8,10,10,5,8,1,18,6,8,1,10,20,8,2,10,4,8,3,10,60,8,3,10,44,8,1,18,3,10,9,18,3,10,59,8,2,10,46,8,2,10,28,4,2,19,10,4,2,10,2,4,3,19,4,4,4,10,62,8,3,10,52,4,4,19,6,4,9,10,30,8,3,10,39,18,5,10,9,8,3,10,247,4,6,19,1,4,1,19,7,4,186,19,5,4,17,19,3,4,43,19,5,4,2,18,2,10,13,8,2,10,11,9,1,10,53,8,1,10,6,8,2,10,6,4,2,19,10,4,4,10,138,8,2,10,37,4,17,10,112,18,1,10,71,8,1,10,30,4,2,19,7,4,2,19,5,4,3,10,7,18,1,4,2,19,4,4,440,},
{4,666,19,14,4,42,19,6,4,2,10,1,8,6,10,2,8,9,10,3,18,1,3,2,18,2,3,1,18,3,3,1,18,1,8,1,18,1,3,3,18,1,4,4,18,1,3,1,18,1,10,4,18,1,3,1,18,3,3,2,4,16,10,1,18,3,10,59,8,1,10,6,8,10,10,19,8,8,10,9,8,6,10,11,8,2,18,1,8,1,10,5,18,2,10,21,8,2,10,61,8,3,10,44,8,1,18,2,8,1,10,9,18,3,10,59,8,3,10,11,8,1,10,63,4,2,19,10,4,7,19,4,4,5,10,1,8,1,10,60,8,2,10,53,4,3,19,8,4,5,10,11,4,8,10,13,8,2,10,18,18,2,10,20,18,4,10,11,8,1,10,104,8,1,10,146,18,1,4,5,19,9,4,183,19,4,4,7,19,1,4,53,19,5,4,4,18,2,8,1,10,10,8,1,10,14,9,1,8,1,9,1,10,51,8,3,10,11,4,3,19,13,4,2,10,10,8,1,10,43,8,2,10,11,9,4,10,177,8,1,10,28,18,1,10,7,18,6,10,13,18,3,10,71,8,2,10,29,4,1,19,6,4,4,19,5,4,2,10,7,4,4,19,2,4,442,},
{4,666,19,14,4,42,19,6,4,2,10,1,8,3,10,1,8,2,10,2,8,9,10,3,18,1,3,1,18,1,10,3,18,3,3,1,18,1,10,1,18,1,3,1,16,2,3,1,18,1,4,3,18,3,10,1,18,1,10,2,18,5,3,1,18,1,4,16,10,1,18,1,10,61,8,1,10,6,8,10,10,21,8,3,10,12,8,5,10,8,18,2,10,11,18,2,10,21,8,2,10,60,8,3,10,71,8,3,10,8,8,2,10,37,8,4,10,8,8,3,10,62,4,2,19,10,4,7,19,4,4,5,10,43,18,1,10,44,18,2,10,6,8,1,10,19,4,4,19,8,4,4,10,12,4,8,10,13,8,1,10,19,18,2,10,20,18,4,10,116,8,1,10,147,18,1,4,6,19,8,4,182,19,3,4,7,19,5,4,49,19,6,4,4,18,2,10,9,8,4,10,13,8,2,9,1,10,51,8,4,10,10,4,2,19,14,4,2,10,54,8,2,10,10,9,1,18,2,9,2,18,3,10,48,8,2,10,118,8,2,10,3,8,2,10,27,18,3,10,6,18,7,10,12,18,3,10,71,8,3,10,27,18,1,4,1,19,6,4,4,19,5,4,1,18,1,10,7,4,3,19,3,4,442,},
{4,666,19,14,4,42,19,5,4,3,10,1,8,7,10,1,8,8,10,3,18,3,10,4,18,1,3,2,18,1,10,3,3,2,16,1,3,1,18,1,10,4,18,3,10,2,18,2,9,1,10,1,18,1,10,3,4,16,10,56,18,1,10,2,18,2,10,9,8,3,10,1,8,6,10,30,8,5,10,14,18,2,10,11,18,2,10,21,8,2,10,60,8,3,10,54,8,1,10,17,8,2,10,9,8,1,10,39,8,3,10,5,8,5,10,46,8,1,10,15,4,2,19,11,4,5,19,9,4,2,10,87,18,3,10,25,4,4,19,8,4,4,10,12,4,8,10,33,18,1,10,21,18,3,10,6,8,2,10,259,18,1,4,6,19,6,4,191,19,7,4,48,19,6,4,4,18,1,8,1,10,9,8,3,10,14,9,1,8,1,9,1,10,50,8,5,10,10,4,2,19,14,4,2,10,54,8,2,10,10,9,1,18,1,9,3,18,3,9,1,10,12,8,2,10,33,8,2,10,118,8,2,10,4,8,1,10,27,18,5,10,5,18,6,10,12,18,3,10,4,8,1,10,66,8,3,10,27,18,1,4,1,19,6,4,4,19,5,4,1,18,1,8,1,10,6,4,1,19,5,4,442,},
{4,667,19,13,4,42,19,5,4,3,10,1,8,7,10,2,8,7,10,10,18,1,3,2,10,1,18,2,10,1,3,4,8,1,10,1,18,1,10,2,3,3,18,1,10,2,18,5,10,2,4,16,10,41,18,4,10,13,18,3,10,9,8,3,10,1,8,6,10,22,8,4,10,3,8,7,10,13,18,2,9,1,10,4,18,1,10,3,8,1,10,4,18,1,8,1,10,18,8,2,10,23,8,3,10,34,8,2,10,52,8,4,10,17,8,1,10,50,8,3,10,4,8,5,10,47,8,1,10,15,4,2,19,12,4,4,19,9,4,2,10,27,9,1,10,1,8,1,10,8,8,2,10,16,8,2,10,29,18,3,10,25,4,4,19,8,4,4,10,12,4,8,10,5,8,3,10,56,8,3,10,25,18,1,10,233,18,1,4,6,19,5,4,190,19,8,4,48,19,7,4,2,18,2,8,1,10,9,8,3,10,10,9,2,10,22,8,2,10,3,8,3,10,24,8,5,10,11,4,2,19,14,4,2,10,54,8,2,10,9,9,2,10,4,18,1,3,2,18,1,10,164,8,5,10,33,18,4,10,6,18,2,10,23,8,1,10,66,8,4,10,25,18,1,4,2,19,2,4,1,19,2,4,5,19,4,4,1,18,1,10,7,4,1,19,5,4,442,},
{4,668,19,12,4,42,19,5,4,3,10,1,8,1,10,3,8,3,10,2,8,7,10,10,18,1,3,2,10,2,18,1,10,1,3,3,18,1,10,2,18,1,10,1,18,1,16,3,3,1,10,3,18,1,3,2,18,2,10,2,4,15,10,5,18,1,10,4,18,1,10,20,18,1,10,7,18,7,10,13,18,2,10,8,8,8,10,22,8,17,10,4,8,3,10,11,18,3,10,2,8,1,18,1,10,4,18,2,10,17,8,3,10,23,8,4,10,33,8,1,10,52,8,4,10,48,8,1,10,4,8,2,10,15,8,1,10,5,8,4,10,23,8,3,10,22,8,1,10,15,4,2,19,12,4,4,19,9,4,2,10,18,9,1,10,37,8,2,10,25,8,1,10,2,18,3,10,26,4,5,19,7,4,4,18,1,10,11,4,8,10,5,8,3,10,56,8,4,10,23,18,3,10,70,8,1,10,164,4,5,19,7,4,187,19,8,4,47,19,8,4,1,18,2,8,1,10,10,8,3,10,8,9,2,8,1,9,1,10,22,8,8,10,23,8,5,10,12,4,2,19,14,4,2,10,55,8,1,10,5,9,1,10,2,9,1,18,1,9,1,10,4,9,1,3,2,18,1,10,164,8,4,10,36,18,2,10,6,8,1,10,1,8,1,10,5,8,1,10,4,8,1,10,2,8,2,10,6,8,2,10,67,8,5,10,23,18,1,4,5,19,2,4,2,19,1,4,7,10,7,4,2,19,5,4,442,},
{4,668,19,12,4,42,19,6,4,2,10,3,8,5,10,2,8,6,10,5,18,2,10,2,18,2,3,3,10,3,3,3,18,1,8,1,10,3,18,1,3,1,16,3,3,1,10,1,18,1,10,1,3,1,16,1,3,3,18,2,10,1,4,14,10,4,18,3,10,2,18,3,10,19,18,1,10,30,8,12,10,21,8,22,10,1,8,7,10,9,18,2,10,3,8,2,10,4,18,1,8,1,10,43,8,3,10,33,8,2,10,1,8,1,10,16,8,1,10,33,8,5,10,47,8,1,10,5,8,1,10,15,8,1,10,6,8,2,10,65,4,3,19,12,4,3,19,9,4,2,10,80,8,2,10,1,8,1,10,1,18,3,10,28,4,5,19,5,4,5,18,1,10,11,4,8,10,33,8,2,10,30,8,2,10,24,18,1,10,1,18,1,10,236,4,4,19,8,4,187,19,7,4,45,19,9,4,2,18,1,8,1,10,12,8,1,10,11,9,1,10,27,8,3,10,24,8,4,10,13,4,2,19,8,4,2,19,3,4,3,10,71,9,1,3,2,9,1,10,305,8,7,10,22,4,6,19,5,4,6,10,6,18,2,4,1,19,5,4,442,},
{4,669,19,3,4,2,19,6,4,42,19,6,4,2,10,3,18,2,8,3,10,2,8,6,10,4,4,4,18,1,3,5,18,2,3,2,16,1,3,1,18,1,10,1,18,1,3,5,16,1,3,1,18,1,10,1,18,1,10,1,16,2,3,3,18,2,10,3,4,12,10,11,18,2,10,5,18,3,10,26,18,1,10,21,18,4,8,1,10,7,8,2,10,11,8,4,10,3,8,25,10,8,18,1,10,2,18,2,8,1,10,4,8,1,18,1,10,14,18,3,10,26,8,1,10,36,8,4,10,50,8,6,10,23,8,2,10,7,8,3,10,12,8,4,10,17,8,1,10,73,4,8,19,6,4,2,19,11,4,1,10,81,18,7,10,25,8,1,10,4,4,14,10,12,4,8,10,3,8,1,9,1,10,28,8,1,10,10,8,1,10,46,18,1,10,1,18,1,10,31,18,2,10,204,18,1,4,4,19,6,4,187,19,5,4,46,19,9,4,3,18,1,10,18,8,4,10,58,8,1,10,16,4,18,10,69,9,1,10,1,9,1,18,2,10,78,8,1,10,144,18,2,10,15,18,2,10,3,18,2,10,44,8,1,10,2,8,1,10,1,8,3,10,10,8,7,10,19,4,5,19,5,4,7,10,6,18,2,4,448,},
{4,677,19,1,4,45,19,4,4,4,18,1,10,1,18,1,8,3,10,2,8,6,10,4,4,5,18,1,3,5,18,1,3,2,16,2,3,1,18,1,9,1,3,2,16,2,3,3,18,1,10,1,18,3,16,2,3,3,18,1,10,4,4,11,10,13,18,1,10,5,18,10,10,19,18,2,10,11,8,1,10,6,18,7,10,8,8,1,10,10,8,5,10,4,8,8,10,3,8,14,10,2,8,1,10,4,18,1,10,2,8,1,10,6,8,2,10,11,18,6,10,60,8,7,10,14,8,1,10,23,8,3,10,9,8,6,10,23,8,3,10,6,8,3,10,13,8,2,10,18,8,1,10,63,8,1,10,8,8,1,10,1,4,9,19,4,4,1,19,5,4,8,10,80,18,7,10,24,8,5,10,3,4,1,18,3,4,5,10,2,4,1,10,13,4,7,10,4,8,1,10,39,8,2,10,46,18,3,10,15,8,1,10,2,8,1,10,12,18,1,10,1,18,4,10,17,8,1,10,183,18,1,4,4,19,5,4,238,19,6,4,5,18,1,8,1,10,17,8,5,10,36,8,2,10,19,8,2,10,17,4,16,10,9,8,2,10,48,9,1,10,9,9,1,18,2,10,13,8,2,10,65,8,3,10,104,18,1,10,38,18,3,10,14,18,1,10,4,18,1,10,34,8,1,10,9,8,12,10,7,8,7,10,3,8,2,10,14,4,5,19,5,4,2,10,11,18,2,4,448,},
{4,732,18,2,8,2,10,3,8,6,10,5,4,5,18,1,3,8,16,1,3,1,18,2,3,2,16,2,3,2,18,1,4,4,10,1,3,1,16,1,3,2,18,1,10,6,18,1,10,29,18,1,10,2,18,6,10,30,8,1,10,1,8,1,10,6,18,7,10,19,8,4,10,6,8,7,10,3,8,14,10,1,18,3,10,1,8,1,18,1,10,7,8,1,10,2,8,2,10,6,18,1,10,3,18,6,10,6,18,2,10,73,8,2,10,23,8,3,10,10,8,4,10,10,8,1,10,13,8,3,10,22,8,2,10,81,8,4,10,4,8,3,10,7,18,1,4,6,19,5,4,4,10,116,8,4,10,5,8,1,18,1,8,1,10,9,18,2,10,12,18,2,10,48,8,1,10,63,8,2,10,2,8,2,10,34,8,1,10,184,18,1,4,3,19,6,4,237,19,5,4,2,10,2,18,3,10,14,8,9,10,36,8,2,10,64,8,1,10,58,9,1,18,1,9,1,10,81,8,2,10,144,18,3,10,5,18,2,10,56,8,12,10,7,8,1,10,4,8,1,10,20,4,5,19,5,4,2,10,12,18,2,4,1,10,4,4,442,},
{4,732,18,3,8,1,10,3,8,4,10,7,4,6,18,1,3,9,18,2,3,2,16,2,3,1,18,1,4,4,18,1,10,1,3,3,18,1,10,4,3,2,10,36,18,3,10,33,8,1,10,7,18,5,10,2,8,1,10,12,8,1,10,4,8,4,10,6,8,7,10,3,8,14,10,1,18,3,10,1,8,1,18,1,10,2,18,1,10,1,18,1,10,1,18,3,10,1,8,2,10,6,18,2,10,4,18,2,10,7,18,3,10,70,8,5,10,22,8,4,10,9,8,2,10,12,8,3,10,37,8,2,10,81,8,12,10,9,4,4,19,5,4,3,10,24,18,1,10,90,8,4,10,8,8,1,10,10,18,2,10,62,8,1,10,50,8,1,10,16,8,2,10,220,4,3,19,10,4,233,19,5,4,1,10,3,8,2,10,15,8,7,10,39,8,1,10,120,9,1,10,2,18,2,9,1,10,7,9,1,10,220,18,11,10,56,8,10,10,33,4,5,19,5,4,1,10,20,4,442,},
{4,725,19,6,4,1,18,2,10,4,8,5,10,7,4,6,10,1,18,1,3,3,16,2,3,2,18,1,10,3,3,2,16,1,3,1,18,1,4,4,18,1,10,1,3,3,18,1,10,3,18,1,3,2,18,1,10,58,18,1,10,7,8,1,10,13,18,3,10,3,8,1,10,12,8,1,10,4,8,4,10,6,8,7,10,4,8,11,10,3,18,2,8,1,10,1,4,5,10,2,18,1,3,2,18,3,8,2,10,12,18,1,10,79,8,6,10,20,8,6,10,9,8,2,10,12,8,4,10,24,8,4,10,92,8,7,10,3,8,1,10,9,4,4,19,5,4,2,10,15,18,2,10,11,8,1,10,86,8,4,10,26,18,3,10,3,18,2,10,1,18,1,10,42,8,2,10,72,8,2,10,44,8,3,10,5,8,4,10,86,8,3,10,75,4,3,19,11,4,232,19,5,4,1,10,2,8,2,10,16,8,6,10,40,8,1,10,120,18,1,9,2,18,1,9,1,10,213,18,3,10,14,18,5,10,1,18,4,10,57,8,10,10,26,8,2,10,3,4,6,19,5,4,1,10,20,4,442,},
{4,724,19,7,4,2,10,5,8,5,10,7,4,6,10,2,18,1,3,1,16,4,3,1,18,1,10,3,18,1,3,2,16,1,3,1,4,4,10,1,18,1,3,3,18,2,9,1,10,1,3,1,16,2,18,1,10,57,18,3,10,6,8,1,10,3,8,1,10,15,8,1,10,8,8,1,10,3,8,1,10,4,8,5,10,4,8,8,10,4,8,11,10,7,4,6,18,1,3,4,18,1,8,1,10,1,8,1,10,12,18,1,10,78,8,2,10,3,8,3,10,19,8,3,10,11,8,3,10,12,8,5,10,22,8,7,10,5,8,1,10,23,8,2,10,60,8,5,10,3,8,3,10,3,8,1,10,4,4,5,19,1,4,4,10,16,18,2,10,8,18,2,10,88,8,4,10,26,18,9,10,37,18,2,10,3,8,3,10,15,8,2,10,66,8,1,10,34,8,1,18,2,8,9,10,85,8,4,10,75,18,1,4,4,19,9,4,232,19,5,4,2,9,1,18,2,10,15,8,6,10,162,9,1,18,2,9,1,10,213,18,4,10,15,18,3,10,3,18,3,10,57,8,10,18,1,10,24,18,4,10,1,4,7,19,5,4,1,10,20,4,442,},
{4,724,19,7,4,2,18,1,10,3,8,7,10,14,18,1,3,1,16,4,3,1,18,4,3,3,16,1,3,1,4,4,18,1,3,4,18,4,3,1,16,2,18,1,10,57,18,3,10,10,8,1,10,24,8,1,10,8,8,5,10,4,8,8,10,3,8,14,10,3,8,1,10,1,4,6,18,1,3,1,16,2,3,1,10,16,18,1,10,6,18,1,10,77,8,3,10,7,18,1,10,11,8,2,10,11,8,3,10,12,8,5,10,22,8,7,10,4,8,2,10,58,18,1,10,21,8,2,10,4,8,3,10,4,8,3,10,3,8,1,10,5,4,1,18,4,4,3,10,17,18,2,10,75,18,1,10,11,8,2,10,10,8,2,10,8,8,1,10,7,18,2,10,10,18,7,10,12,8,3,10,23,18,2,10,3,8,2,10,16,8,3,10,45,8,3,10,18,8,1,10,33,8,1,18,2,8,9,10,85,8,2,10,78,18,2,4,3,19,13,4,226,19,6,4,2,8,1,18,1,8,1,10,15,8,1,10,1,8,4,10,147,8,2,10,14,18,2,10,214,18,4,10,15,18,3,10,4,18,2,10,57,8,8,18,3,10,20,4,22,10,20,4,442,},
{4,724,19,8,4,2,10,3,8,7,10,13,18,1,3,3,16,3,3,1,18,2,3,5,16,1,3,1,18,1,4,3,3,4,18,1,10,2,18,2,3,3,18,1,10,57,18,3,10,28,8,2,10,4,8,2,10,6,8,7,10,3,8,10,10,1,8,11,10,2,8,2,10,3,8,1,18,1,4,5,18,1,3,2,16,1,3,1,18,1,10,15,18,2,10,5,18,2,10,77,8,3,10,7,18,2,10,10,8,2,10,11,8,3,10,3,8,1,10,8,8,4,10,23,8,7,10,5,8,1,10,57,18,3,10,20,8,3,10,10,8,4,10,8,9,1,18,4,9,1,10,35,18,1,10,60,18,1,10,32,8,2,10,6,18,3,10,29,8,1,18,1,8,1,10,24,18,1,10,22,8,3,10,44,8,3,10,52,8,12,10,85,8,1,10,81,18,1,4,3,19,13,4,225,19,6,4,1,18,1,8,1,18,1,8,1,10,14,8,2,10,1,8,4,10,5,8,2,10,140,8,2,10,7,9,1,10,6,9,1,18,1,10,215,18,3,10,15,18,2,10,5,18,3,10,43,8,2,10,3,8,3,10,5,8,8,18,3,10,18,4,24,10,20,4,442,},
{4,724,19,8,4,2,10,3,8,7,10,11,18,1,3,6,16,1,3,1,18,1,10,1,18,1,3,5,16,2,3,1,18,1,10,2,3,3,18,1,10,5,18,1,3,2,18,1,10,57,18,3,10,28,8,2,10,3,8,3,10,5,8,7,10,5,8,21,10,3,8,1,10,5,4,5,18,1,3,3,18,1,10,16,18,2,10,5,18,3,10,75,8,2,10,21,8,2,10,11,8,3,10,2,8,3,10,8,8,3,10,24,8,5,10,63,18,3,10,21,8,3,10,9,8,6,10,7,9,2,18,2,9,1,10,18,18,2,10,13,18,5,10,101,18,1,10,30,8,1,18,1,8,1,10,13,8,1,10,35,8,1,10,46,8,4,10,54,8,3,10,171,8,1,4,4,19,12,4,225,19,5,4,2,18,1,8,3,10,8,8,1,10,4,8,9,10,3,8,4,10,38,8,4,10,114,9,1,10,86,8,1,10,128,18,1,10,17,18,2,10,5,18,3,10,43,8,2,10,2,8,4,10,5,8,8,18,3,10,16,4,5,19,6,4,15,10,20,4,442,},
{4,725,19,7,4,3,10,1,8,8,10,11,18,1,3,6,16,1,3,1,18,1,10,1,18,1,3,3,18,2,3,4,10,2,3,2,18,1,10,2,18,2,10,3,18,2,10,37,8,4,10,17,18,2,10,25,8,1,10,3,8,1,10,2,8,5,10,4,8,9,10,3,8,6,10,2,8,12,10,5,8,1,10,5,4,3,10,1,18,2,3,1,18,2,10,11,8,1,10,12,18,2,10,76,8,2,10,25,8,1,10,8,8,2,10,3,8,3,10,36,8,4,10,51,8,4,10,8,18,3,10,21,8,3,10,10,8,5,10,6,8,6,10,18,18,1,10,14,18,1,10,3,18,1,10,10,18,2,10,26,18,1,10,39,8,1,10,7,8,2,10,45,8,3,10,11,8,3,10,27,8,2,10,5,8,2,10,46,8,4,10,4,8,3,10,220,8,1,18,1,4,9,19,6,4,224,19,5,4,3,18,1,8,1,10,10,8,2,10,2,8,10,10,3,8,5,10,35,8,7,10,108,8,1,10,81,8,2,10,6,8,4,10,145,18,1,10,6,18,4,10,46,8,4,10,5,8,8,18,3,10,15,4,4,19,9,4,14,10,3,8,1,10,16,4,442,},
{4,726,19,5,4,5,8,8,10,12,18,1,3,5,16,2,3,1,18,2,3,3,18,1,10,1,18,1,3,2,18,1,10,2,18,2,10,1,18,4,10,43,8,3,10,48,8,1,10,2,8,4,10,4,8,19,10,3,8,11,10,5,8,1,10,3,18,2,10,5,18,4,10,11,8,1,10,116,8,2,10,13,8,2,10,37,8,3,10,64,18,3,10,21,8,3,10,10,8,5,10,6,8,3,10,21,18,2,10,13,18,5,10,10,18,2,10,25,18,3,10,25,18,3,10,10,8,1,10,7,8,3,10,20,8,1,10,24,8,1,10,12,8,3,10,27,8,1,10,6,8,3,10,45,8,2,18,1,8,1,10,4,8,2,10,228,18,1,4,1,10,1,4,2,19,5,4,3,19,6,4,214,19,6,4,3,18,1,10,17,8,8,10,4,8,5,10,34,8,6,10,10,8,1,10,98,8,1,10,5,9,1,10,74,8,4,10,5,8,4,10,153,18,3,10,46,8,4,10,5,8,8,18,3,10,10,4,9,19,9,4,14,10,20,4,442,},
{4,726,19,5,4,5,10,1,8,3,10,2,8,2,10,12,18,5,3,1,16,2,3,1,18,3,3,2,18,1,10,1,18,4,10,2,18,2,10,1,18,3,10,16,18,1,10,27,18,3,10,51,8,3,10,5,8,20,10,1,8,11,10,6,8,1,10,1,18,1,10,1,8,2,10,2,18,2,10,1,8,1,18,2,10,3,8,3,10,93,8,1,10,12,8,2,18,1,8,1,10,13,8,2,10,13,8,2,10,105,18,3,10,36,8,2,10,6,8,3,10,20,18,3,10,8,18,1,10,4,18,4,10,11,18,2,10,23,18,6,10,22,18,5,10,18,8,3,10,19,8,1,18,1,8,1,10,5,18,3,10,28,8,3,10,27,8,1,10,3,8,1,10,2,8,3,10,45,8,4,10,4,8,2,10,20,8,4,10,23,8,1,10,179,8,2,10,3,4,1,19,5,4,2,19,10,4,210,19,6,4,4,10,20,8,4,10,7,8,5,10,47,8,3,10,104,9,1,10,75,8,2,10,172,18,2,10,39,8,2,10,4,8,11,18,1,10,6,18,2,10,3,4,9,19,9,4,14,10,20,4,442,},
{4,726,19,5,4,1,19,3,4,1,18,1,8,3,10,1,8,3,10,12,18,5,3,1,16,2,3,1,18,1,10,2,3,3,18,3,10,4,18,2,10,12,18,1,10,1,18,2,10,1,18,1,10,2,18,4,10,24,8,1,18,2,10,47,8,1,10,2,8,4,10,4,8,21,10,1,8,11,10,14,18,1,10,2,8,1,18,2,8,1,10,1,8,1,18,3,8,1,10,105,8,1,18,2,8,2,10,12,8,2,10,72,8,2,10,47,18,1,10,45,18,2,8,1,10,20,9,1,18,1,10,9,18,1,10,19,18,2,10,23,18,5,10,22,18,6,10,40,8,1,18,1,8,1,10,5,18,1,10,1,18,1,10,58,8,1,10,2,8,2,10,2,8,1,18,1,8,1,10,54,8,1,10,19,8,5,10,21,8,4,10,178,8,3,10,2,4,2,19,4,4,2,19,10,4,210,19,6,4,4,10,34,8,1,10,11,8,2,10,35,8,2,10,334,18,1,10,20,18,3,10,28,8,2,10,9,8,2,10,2,8,13,10,7,18,1,10,3,4,4,19,10,4,18,10,4,8,1,10,15,4,442,},
{4,727,19,3,4,1,19,5,4,1,8,7,10,5,8,2,10,5,18,2,10,2,18,2,3,4,10,2,3,4,18,1,10,4,18,5,10,3,18,1,9,1,10,2,18,4,10,1,18,1,9,1,10,5,18,3,10,23,8,4,10,49,8,2,18,1,8,1,10,5,8,3,10,2,8,30,10,8,18,1,10,7,18,2,8,2,18,2,3,1,18,2,10,106,8,3,10,22,8,1,10,63,8,3,10,88,8,2,10,3,18,1,8,2,10,10,18,1,10,8,18,2,10,58,18,1,10,22,18,1,10,1,18,3,10,42,8,2,10,6,18,2,10,58,8,2,10,2,8,2,10,2,8,3,10,72,8,5,10,206,8,3,10,1,18,1,4,7,19,10,4,210,19,5,4,4,18,1,10,47,8,1,10,15,8,3,10,15,8,3,10,334,18,3,10,19,18,3,10,26,8,5,10,8,8,19,10,3,8,1,10,5,4,2,19,10,4,20,10,4,8,1,10,15,4,442,},
{4,731,19,4,4,2,10,1,8,3,10,1,8,2,10,12,18,1,10,4,18,1,3,2,16,1,3,1,10,2,18,1,3,3,18,1,10,4,18,3,3,2,10,7,18,3,10,36,8,4,10,46,18,1,10,1,8,4,10,4,8,4,10,2,8,35,10,3,18,2,10,8,8,1,18,1,3,4,18,1,10,5,18,2,10,7,18,3,10,81,8,1,10,31,8,3,10,62,8,3,10,19,8,1,10,68,8,2,10,3,18,1,8,2,10,9,18,2,10,8,18,2,10,65,18,2,10,14,18,2,10,41,18,2,10,51,8,1,10,18,8,2,10,2,8,2,10,3,8,1,10,60,8,1,10,11,8,2,18,1,8,2,10,209,8,2,18,3,4,5,19,10,4,5,19,2,4,203,19,4,4,4,18,1,10,3,8,1,10,23,8,4,10,33,8,4,10,14,8,3,10,27,8,3,10,26,4,9,10,142,8,1,10,88,8,1,10,38,18,3,10,18,18,3,10,26,8,1,18,2,8,2,10,4,8,2,10,1,8,1,18,2,8,5,10,1,8,7,10,1,8,2,10,10,4,2,19,8,4,22,10,1,18,2,10,17,4,442,},
{4,730,19,5,4,2,18,1,9,1,8,2,10,5,8,1,10,9,18,1,10,3,18,3,3,3,18,1,10,2,18,1,3,2,18,1,10,1,18,2,10,1,18,1,3,3,18,1,10,7,18,3,10,2,18,1,10,35,8,1,10,18,18,5,10,24,18,2,8,1,18,2,8,1,10,4,8,4,10,2,8,34,18,1,10,3,18,2,10,6,18,1,10,1,3,5,18,2,10,14,18,4,10,79,8,2,10,32,8,1,10,63,8,2,10,20,8,1,10,69,8,1,10,3,8,3,10,10,18,1,10,8,18,1,10,38,18,3,10,24,18,3,10,14,18,1,10,114,8,1,10,8,8,2,10,65,8,2,10,3,8,5,10,211,8,2,18,1,8,1,10,2,18,1,4,3,19,9,4,4,19,12,4,194,19,4,4,3,18,1,10,28,8,3,10,52,8,3,10,27,8,3,10,23,18,1,10,2,4,10,10,269,18,3,10,19,18,1,10,27,8,1,18,2,8,2,10,2,8,6,18,2,8,8,10,2,8,6,10,1,8,1,10,8,4,2,19,8,4,22,10,20,4,442,},
{4,730,19,6,4,1,18,1,8,3,10,18,18,1,3,2,18,2,3,2,18,1,10,3,18,2,10,2,18,2,10,1,18,1,3,2,18,1,10,7,18,1,10,3,18,3,10,10,18,8,10,15,8,1,10,1,8,1,10,18,18,3,10,21,18,1,10,6,18,2,8,1,10,5,8,11,10,4,8,4,10,4,8,16,18,1,10,4,18,2,10,4,18,1,10,2,3,1,16,2,3,1,18,2,8,1,10,16,18,4,10,142,8,1,10,33,8,2,10,2,8,2,10,104,18,2,10,5,18,2,10,29,18,4,10,4,18,2,10,1,18,2,10,23,18,2,10,4,18,3,10,6,18,3,10,105,8,3,10,63,18,1,3,2,8,1,10,15,8,8,10,214,8,4,10,2,4,8,19,2,4,6,19,12,4,200,18,1,10,16,8,3,10,67,8,1,10,27,8,2,10,17,4,6,18,3,10,1,4,10,10,271,18,1,10,24,18,2,10,22,8,3,10,3,8,2,10,1,8,10,10,7,8,4,10,3,8,1,10,6,4,1,19,9,4,22,10,20,4,442,},
{4,730,19,6,4,1,18,1,9,1,8,4,10,16,18,1,3,2,18,1,10,1,18,2,10,7,18,2,10,2,18,1,3,2,10,2,18,2,10,4,18,1,10,3,18,2,10,11,18,1,10,1,18,1,10,1,18,4,10,17,8,1,10,49,18,2,10,4,8,13,10,4,8,4,10,4,8,14,18,1,8,1,18,1,10,3,18,2,10,5,18,1,10,2,3,1,16,2,3,1,10,14,18,2,10,4,18,3,10,64,8,1,10,77,8,1,10,5,8,1,10,31,8,2,10,104,18,1,10,1,18,1,10,3,18,2,10,30,18,3,10,5,18,2,10,2,18,1,10,23,18,1,10,5,18,3,10,5,18,3,10,106,8,4,10,55,8,2,10,5,18,1,3,2,18,1,10,14,8,4,10,116,8,1,10,109,18,1,4,2,18,1,4,11,19,12,4,200,10,17,8,4,10,87,8,1,10,25,4,6,18,2,10,2,4,10,10,296,18,5,10,20,8,1,10,3,8,3,10,1,8,1,10,2,8,7,10,8,8,3,10,9,4,2,19,8,4,23,10,20,4,442,},
{4,730,19,6,4,1,18,1,9,1,8,5,10,15,18,1,3,1,18,1,10,15,18,3,10,1,18,1,3,2,10,8,18,2,10,5,18,1,10,10,18,2,10,10,8,1,10,4,8,1,10,1,8,2,10,27,8,1,10,14,8,1,10,6,8,3,10,3,8,10,18,3,8,2,10,1,8,6,10,3,8,4,10,2,8,9,18,1,10,14,3,1,16,2,18,1,10,4,8,2,10,8,18,3,10,92,8,1,10,21,8,2,10,8,8,1,10,167,18,3,10,3,18,2,10,31,18,1,10,9,18,2,10,146,8,2,10,64,8,1,18,2,8,1,10,208,9,1,10,38,18,6,10,2,4,4,19,19,4,182,19,4,4,5,18,1,10,17,8,4,10,114,4,6,10,4,4,10,10,299,18,2,10,19,8,3,10,3,8,2,10,5,8,7,10,18,4,3,19,5,4,26,10,17,18,2,10,1,4,442,},
{4,730,19,6,4,1,18,1,8,6,10,15,18,3,10,12,8,1,18,6,3,3,10,7,18,3,10,4,18,2,10,29,8,1,10,28,8,1,10,14,8,1,10,5,8,2,18,1,10,4,8,10,18,3,8,9,10,2,8,2,10,5,8,10,10,14,8,1,3,1,18,1,10,4,18,3,8,1,10,3,8,2,10,2,18,1,10,45,8,7,10,26,8,2,10,13,8,3,10,21,8,1,10,8,8,1,10,168,18,1,10,3,18,2,9,1,10,188,8,2,10,277,9,2,10,40,8,1,10,4,18,2,4,3,19,22,4,177,19,5,4,5,10,17,8,4,10,115,4,6,10,4,4,9,10,229,8,1,10,30,18,1,10,1,18,2,10,55,8,5,10,10,8,8,10,17,4,2,19,6,4,26,10,17,18,2,10,1,4,442,},
{4,730,19,6,4,1,18,1,8,6,10,24,18,4,10,2,18,1,3,3,18,1,3,5,8,1,10,5,18,1,10,2,18,2,10,3,18,1,10,59,8,1,10,21,18,1,8,1,10,4,8,10,18,3,8,9,10,10,8,9,10,4,18,2,10,1,8,1,10,10,18,1,10,2,18,4,8,1,10,2,8,2,10,47,8,16,10,18,8,2,10,13,8,3,10,30,8,1,10,170,18,3,10,1,18,1,10,183,8,1,10,4,8,2,10,20,8,2,10,255,9,2,10,45,8,1,18,1,4,5,19,21,4,176,19,4,4,4,18,1,10,19,8,2,10,116,4,6,10,4,4,8,10,319,18,1,8,5,10,10,8,8,10,17,4,2,19,6,4,26,10,20,4,442,},
{4,730,19,6,4,2,9,1,8,4,10,16,18,1,10,2,8,2,10,4,18,1,3,3,18,1,3,10,18,2,10,5,18,1,10,2,18,3,10,84,18,1,8,1,10,4,8,6,10,1,8,4,10,1,8,3,10,2,8,4,10,12,8,7,10,4,18,3,10,10,18,1,10,1,18,1,10,2,18,4,8,1,10,3,8,1,10,47,8,16,10,18,8,2,10,13,8,7,10,62,8,1,10,45,8,2,10,87,18,5,10,210,8,2,10,255,9,1,10,12,9,1,10,36,4,12,19,13,4,176,19,4,4,4,10,138,4,6,10,4,4,8,10,141,18,2,10,175,18,2,8,3,18,1,8,2,10,14,8,5,10,5,8,1,10,8,4,2,19,7,4,26,10,20,4,442,},
{4,729,19,7,4,2,8,5,10,4,8,3,10,1,8,1,18,1,10,5,18,3,10,1,18,1,10,5,18,1,3,9,18,2,3,3,18,2,10,1,8,1,10,2,18,1,10,4,18,2,10,4,8,3,10,46,18,1,10,30,8,1,10,5,9,1,18,2,9,1,8,1,10,3,8,2,10,2,8,2,10,3,8,4,10,13,8,6,10,5,18,2,8,1,10,8,18,2,10,4,8,1,18,3,8,1,10,7,8,2,10,4,18,2,10,36,8,6,10,6,8,4,10,18,8,2,10,14,8,6,10,61,8,3,10,43,8,4,10,86,18,4,10,31,18,1,10,88,18,1,10,277,8,1,10,82,9,2,10,37,18,3,4,8,19,13,4,167,19,4,4,4,19,4,4,2,18,1,10,87,8,3,10,388,8,2,18,1,8,2,10,9,8,1,10,5,8,4,10,5,8,1,10,6,4,4,19,7,4,20,19,5,4,1,10,20,4,442,},
{4,728,19,7,4,3,8,4,10,4,8,6,18,1,8,2,10,1,8,1,10,1,18,2,10,1,9,1,18,1,9,1,10,3,18,1,3,6,16,1,3,2,18,1,8,1,18,1,3,2,18,5,10,3,18,1,10,4,18,1,10,3,18,4,10,46,18,1,10,30,8,1,10,5,9,1,18,3,8,1,10,3,8,1,10,8,8,4,10,9,8,1,10,4,8,2,10,1,8,1,10,17,18,2,10,5,8,1,18,2,8,1,10,13,18,3,10,34,8,6,10,29,8,1,10,14,8,6,10,42,8,1,10,15,8,1,10,2,8,4,10,9,8,3,10,30,8,4,10,88,18,2,10,31,18,2,10,7,18,2,10,357,8,2,10,81,9,1,10,41,8,1,10,5,4,3,19,15,4,163,19,5,4,4,19,3,4,3,10,15,8,2,10,71,8,4,10,387,8,2,18,2,8,2,10,8,8,1,10,5,8,4,10,11,4,3,19,9,4,20,19,5,4,1,10,20,4,442,},
{4,728,19,7,4,3,10,1,8,1,10,6,8,11,18,1,9,1,8,1,10,2,18,2,9,1,10,1,18,1,3,10,18,1,10,2,18,2,8,1,10,6,18,1,10,8,8,1,18,4,10,45,18,2,10,23,8,1,10,7,8,1,10,3,8,1,9,1,18,2,9,1,8,1,10,3,8,1,10,8,8,1,10,1,8,2,10,9,8,1,10,5,8,1,10,27,8,2,10,51,8,3,10,47,8,3,18,1,8,2,10,41,8,3,10,14,8,1,10,2,8,3,10,9,8,4,10,12,8,1,10,17,8,3,10,90,18,1,10,75,18,2,10,171,8,2,10,142,8,1,10,5,8,3,10,127,9,1,18,1,4,7,19,10,4,163,19,6,4,10,10,15,8,4,10,69,8,4,10,332,18,3,10,3,18,2,10,48,8,1,18,2,8,3,10,11,8,6,10,11,4,2,19,8,4,22,19,5,4,1,10,20,4,442,},
{4,728,19,8,4,2,10,8,8,13,10,1,18,1,10,1,18,2,9,1,10,1,18,1,3,9,18,1,10,2,9,1,10,1,8,1,10,10,8,2,10,4,18,4,8,1,10,9,8,3,10,65,18,1,8,1,10,3,8,1,9,1,18,2,9,1,8,1,10,3,8,2,10,7,8,1,10,1,8,2,10,8,8,2,10,85,8,3,10,3,8,2,10,43,8,5,10,42,8,3,10,13,8,2,10,2,8,2,10,10,8,5,10,5,8,3,10,3,8,3,10,15,8,3,10,166,18,2,10,139,8,1,10,31,8,3,10,12,8,2,10,127,8,2,10,134,8,1,18,5,4,5,19,9,4,162,19,6,4,10,10,15,8,4,10,43,8,1,10,25,8,4,10,21,8,1,10,310,18,1,10,1,18,1,10,3,18,2,10,48,8,1,18,3,8,3,10,10,8,5,10,11,4,3,19,7,4,23,19,5,4,1,10,20,4,442,},
{4,728,19,8,4,1,18,1,8,1,10,7,8,8,10,1,8,3,10,2,18,1,10,1,18,2,8,1,10,1,18,2,10,3,18,1,3,2,18,1,10,3,18,2,10,1,18,3,10,2,8,1,10,5,8,2,10,2,8,1,18,4,8,1,10,10,18,2,8,1,10,57,8,1,10,7,18,1,8,1,10,4,8,4,10,3,8,3,10,7,8,4,10,8,8,2,10,13,8,1,10,6,18,6,10,17,18,1,10,4,18,2,10,34,8,4,10,3,8,4,10,43,8,2,10,43,8,3,10,14,8,1,10,6,8,1,10,7,8,6,10,4,8,4,10,1,8,4,10,15,8,3,10,122,18,2,10,42,18,2,10,64,18,1,10,109,8,1,10,11,8,2,10,108,8,1,10,18,8,3,10,134,8,1,18,5,10,1,18,1,4,4,19,7,4,162,19,6,4,4,18,5,10,16,8,4,10,42,8,3,10,49,8,2,10,365,8,1,18,3,8,3,10,11,8,3,10,11,4,4,19,6,4,24,19,5,4,1,18,1,8,2,10,17,4,442,},
{4,728,19,8,4,1,18,1,9,1,10,6,8,9,10,2,8,3,10,3,18,2,8,1,10,4,18,1,10,2,18,2,10,4,18,1,10,2,8,1,18,1,8,1,10,2,8,2,10,4,8,4,18,4,8,1,10,10,8,1,18,3,10,47,18,1,10,17,18,1,8,1,10,4,8,3,10,4,8,3,10,8,8,2,10,9,8,2,10,13,8,1,10,3,8,1,10,2,18,6,10,17,18,1,10,3,8,1,18,3,10,31,8,6,10,3,8,5,10,86,8,4,10,21,8,1,10,4,8,1,10,2,8,3,10,1,8,2,10,4,8,4,10,2,8,5,10,14,8,4,10,115,18,1,10,4,18,2,10,42,18,2,10,9,8,2,10,156,8,2,10,5,8,1,10,121,8,1,10,161,8,2,18,1,4,4,19,6,4,162,19,6,4,4,18,1,9,1,10,20,8,2,10,14,8,1,10,28,8,3,10,49,8,2,10,365,8,1,18,3,8,3,10,25,4,3,19,6,4,25,19,5,4,1,18,3,8,1,10,16,4,442,},
{4,728,19,8,4,1,18,1,9,1,10,6,8,2,10,2,8,5,10,2,8,8,10,2,8,2,10,4,18,2,10,12,8,2,10,4,8,2,10,1,8,1,18,4,10,12,18,3,10,47,18,1,10,18,8,1,10,4,8,3,10,4,8,3,10,20,8,1,10,42,18,1,10,4,8,1,18,2,8,1,10,30,8,6,10,4,8,7,10,84,8,3,10,22,8,1,10,4,8,1,10,2,8,2,10,2,8,3,10,4,8,3,10,2,8,4,18,2,8,1,10,12,8,6,10,5,8,2,10,105,18,3,10,3,18,2,10,42,18,2,10,167,8,2,10,290,8,1,18,1,4,5,19,5,4,160,19,6,4,6,18,1,10,36,8,4,10,26,8,3,10,49,8,2,10,87,18,1,10,93,18,3,10,136,18,4,10,41,8,1,18,3,8,4,10,24,4,2,19,6,4,26,19,5,4,1,18,3,8,1,10,17,4,441,},
{4,728,19,7,4,2,10,1,8,1,10,4,8,3,10,4,8,14,10,1,8,3,10,15,18,1,10,8,8,2,10,3,8,2,10,13,8,1,18,1,8,1,10,47,18,1,10,17,8,2,10,4,8,10,10,54,8,1,10,46,8,6,10,5,8,7,10,19,8,3,10,63,8,2,10,17,8,1,10,10,8,3,10,4,8,3,10,5,8,1,10,5,8,4,10,12,8,6,10,5,8,1,10,66,18,3,10,37,18,3,10,15,18,2,10,47,8,3,10,443,4,6,19,4,4,160,19,6,4,5,18,1,10,39,8,6,10,24,8,1,10,9,8,2,10,69,8,1,10,150,18,4,10,50,9,1,10,85,18,4,10,41,8,1,18,2,8,6,10,23,4,2,19,6,4,26,19,5,4,1,18,3,8,2,10,16,4,441,},
{4,728,19,7,4,2,8,1,10,5,8,3,10,4,8,12,10,2,8,4,10,5,18,1,10,10,18,1,10,3,18,2,10,1,8,1,18,1,8,1,10,18,8,3,10,47,18,1,10,22,8,11,10,26,8,2,10,3,18,1,10,6,18,1,10,11,18,1,10,3,8,1,10,7,8,2,10,3,18,1,10,3,18,1,10,1,18,1,10,38,8,5,10,21,8,3,10,3,8,2,10,58,8,1,10,5,8,2,10,11,8,1,10,2,8,2,10,2,8,2,10,2,8,3,10,2,8,5,10,5,8,2,10,4,8,2,18,1,8,1,10,12,8,5,10,71,18,6,10,36,18,3,10,13,18,4,10,36,18,1,10,1,18,1,10,8,8,3,10,31,18,2,10,15,8,2,10,11,8,3,10,35,8,2,10,57,8,2,18,2,8,1,10,7,8,1,10,129,8,1,10,143,4,6,19,3,4,160,19,5,4,5,18,1,10,11,8,5,10,14,9,1,10,11,8,8,10,29,8,4,10,17,8,1,10,97,18,1,10,103,18,3,10,28,4,18,10,5,18,3,10,127,8,10,10,3,8,2,10,15,4,5,19,6,4,26,19,5,4,1,18,1,8,3,10,2,8,2,10,13,4,441,},
{4,728,19,7,4,1,9,1,10,5,8,4,10,3,8,9,10,2,8,1,10,4,8,2,10,13,18,2,10,2,18,2,10,5,18,2,10,20,8,1,10,7,8,3,10,53,8,4,10,3,8,8,18,2,8,2,10,32,8,2,10,4,18,1,8,1,10,21,18,3,10,2,18,1,10,4,18,2,10,40,8,1,10,24,8,3,10,63,8,1,10,5,8,2,10,14,8,2,10,2,8,2,10,2,8,2,10,14,8,1,10,5,8,2,10,12,8,3,10,1,8,2,10,71,18,6,10,50,18,1,10,1,18,3,10,39,18,1,10,8,8,2,10,12,18,2,10,18,18,2,10,14,8,4,10,9,8,6,10,32,8,3,10,57,8,1,18,3,8,1,10,282,4,2,18,1,4,3,19,2,4,23,19,4,4,52,19,4,4,77,19,5,4,5,10,11,8,6,10,27,8,6,10,30,8,3,10,17,8,3,10,96,18,1,10,103,18,2,10,29,4,2,19,14,4,2,10,5,18,3,10,1,18,2,10,91,8,1,10,36,18,1,10,1,8,1,18,2,10,1,8,1,10,3,8,2,10,1,8,2,10,10,4,6,19,6,4,26,19,5,4,1,18,1,8,2,10,3,8,2,10,12,4,442,},
{4,728,19,7,4,2,10,5,8,4,10,2,8,3,18,2,9,1,10,3,8,1,10,4,18,2,10,6,18,3,10,17,18,2,10,27,8,2,18,2,8,1,10,53,8,1,10,4,8,7,18,1,8,3,18,1,10,1,18,1,10,12,8,1,10,3,8,3,10,10,18,2,8,10,10,18,8,1,18,4,10,2,18,1,10,1,18,1,10,11,18,2,10,94,8,2,10,8,8,1,10,16,8,2,10,1,8,5,10,15,8,6,10,35,8,10,10,3,8,3,10,61,9,1,10,3,18,4,10,7,8,1,10,41,18,4,10,16,18,1,10,46,18,2,10,37,8,2,10,11,8,4,10,31,8,4,10,19,8,3,10,5,8,2,10,29,8,5,10,284,18,2,4,26,19,7,4,29,18,3,4,18,19,5,4,76,19,2,4,6,10,13,9,1,8,2,18,1,8,3,10,19,8,1,10,8,8,1,10,32,8,4,10,17,8,5,10,229,4,2,19,14,4,2,10,6,9,1,18,2,10,1,18,4,10,85,8,4,10,5,8,4,10,22,8,1,10,4,18,2,10,23,4,6,19,5,4,27,19,5,4,1,18,2,10,4,8,2,10,12,4,442,},
{4,728,19,7,4,2,10,3,8,11,18,3,10,7,18,1,3,1,18,2,10,4,18,1,3,3,18,1,10,16,8,1,10,28,8,1,18,3,8,1,10,52,8,1,10,5,8,3,10,2,8,1,18,2,8,2,10,2,18,2,10,12,8,2,10,2,8,3,10,10,18,3,8,10,10,16,8,1,18,4,10,4,18,1,10,3,8,1,18,1,8,1,10,6,18,1,10,52,8,3,10,35,8,2,10,3,8,1,10,7,8,4,10,13,8,9,10,8,8,3,10,5,8,9,10,18,8,3,10,9,8,12,10,3,8,3,10,11,8,3,10,45,18,3,10,3,18,4,10,7,8,2,10,57,18,1,10,2,18,1,10,24,18,1,10,108,8,4,10,17,8,1,10,1,8,1,18,1,8,1,10,4,8,3,10,8,8,5,10,12,8,6,10,2,8,2,10,285,18,1,4,25,19,8,4,27,18,2,3,1,18,3,10,6,4,5,18,2,4,4,19,4,4,84,10,14,9,2,18,1,8,1,9,5,10,32,9,1,10,25,8,3,10,8,8,4,10,4,9,2,8,4,10,230,4,2,19,14,4,2,10,6,18,1,10,6,18,2,10,72,8,1,10,11,8,4,10,1,8,9,10,21,8,2,10,3,18,2,10,23,4,6,19,4,4,28,19,4,4,2,18,2,10,5,8,1,10,10,8,2,4,442,},
{4,727,19,7,4,3,10,2,8,12,18,3,8,3,10,3,18,1,3,3,18,1,10,4,18,1,3,3,18,1,10,3,18,2,10,4,18,1,10,36,8,3,10,62,8,3,18,2,8,3,10,2,18,1,10,12,8,2,10,4,8,1,10,13,8,4,10,2,8,5,10,5,8,1,10,7,8,1,18,5,8,1,10,2,18,2,10,2,18,5,10,5,18,1,10,10,8,2,10,92,8,3,10,14,8,8,10,16,8,11,10,18,8,1,10,10,8,12,10,17,8,3,10,2,8,3,10,47,18,2,10,9,8,1,10,8,8,2,10,47,18,1,10,2,18,1,4,19,10,5,18,1,10,108,8,4,10,20,8,1,10,4,8,4,10,2,8,2,10,5,8,5,10,12,8,9,10,288,18,3,4,15,19,13,4,7,10,7,18,30,4,2,18,1,4,3,19,4,4,74,10,2,4,2,18,5,10,23,9,2,10,23,8,2,10,34,8,1,10,8,8,6,10,2,8,5,10,231,4,2,19,14,4,2,10,62,8,2,10,23,8,1,10,9,8,5,10,3,8,8,10,21,8,1,10,2,8,1,18,3,10,23,4,2,19,6,4,30,19,5,4,1,18,1,8,1,10,18,4,442,},
{4,726,19,8,4,2,10,2,8,1,9,1,18,2,9,1,8,10,18,1,8,1,18,1,10,5,18,1,3,2,18,1,10,1,18,2,10,1,3,2,16,1,3,2,10,2,3,3,18,1,10,2,18,1,3,1,18,1,10,100,8,3,18,1,8,4,10,15,8,8,10,2,18,1,10,9,8,3,10,3,8,6,10,3,8,1,18,1,8,1,10,6,8,1,18,2,8,1,10,4,9,1,18,1,10,2,8,1,18,4,8,1,10,55,8,1,10,54,8,3,10,14,8,7,10,16,8,3,10,3,8,6,10,18,8,1,10,8,8,13,10,18,8,3,10,1,8,5,10,65,8,1,18,1,8,1,10,47,18,1,10,3,4,3,19,5,4,12,10,32,18,2,10,80,8,2,10,18,8,1,10,7,8,3,10,4,8,1,10,5,8,7,10,12,8,4,10,2,8,1,10,288,9,1,18,2,4,14,19,13,4,6,18,2,9,3,8,1,18,17,8,1,10,2,8,1,18,2,3,4,18,10,4,2,19,3,4,75,10,4,18,5,9,1,10,22,8,2,10,22,8,4,10,41,8,12,10,233,4,2,19,14,4,2,10,62,8,2,10,23,8,1,10,8,8,5,10,4,8,7,10,25,8,1,18,2,10,24,4,1,19,7,4,30,19,4,4,2,18,1,10,19,4,442,},
{4,726,19,8,4,2,10,2,8,1,18,3,9,1,8,9,10,1,8,2,18,1,10,5,18,1,3,2,18,1,10,1,18,1,10,2,3,4,18,1,10,1,18,1,3,3,18,1,10,1,9,1,3,1,16,1,3,1,18,1,10,99,8,8,10,14,8,6,18,4,10,8,18,2,10,1,8,11,10,4,8,1,18,1,8,1,10,7,8,1,10,11,8,2,10,24,18,1,10,33,8,1,10,64,8,2,10,5,8,7,10,16,8,3,10,3,8,3,18,1,8,2,10,18,8,1,10,7,8,14,10,18,8,2,10,4,8,3,10,65,8,1,18,4,10,6,8,4,10,34,18,2,10,3,4,2,19,13,4,5,10,32,18,2,10,100,8,2,10,6,8,3,10,10,8,10,10,305,8,1,18,1,4,14,19,8,4,9,18,4,8,4,18,11,9,1,18,4,8,1,10,4,8,1,18,1,3,4,18,6,3,3,18,1,4,80,10,5,9,5,10,17,9,2,8,4,10,22,8,6,10,38,8,13,10,234,4,2,19,14,4,2,10,61,8,3,10,23,8,1,10,8,8,4,10,5,8,4,10,9,18,2,10,17,8,1,10,1,18,1,10,24,4,1,19,7,4,36,10,3,8,1,10,16,4,442,},
{4,726,19,8,4,2,10,1,8,2,18,3,9,1,8,9,10,2,8,2,10,6,18,1,3,2,18,1,10,3,18,1,3,3,18,2,3,2,16,1,3,1,18,1,10,1,9,1,16,2,3,1,18,1,10,99,8,8,10,14,8,2,18,8,10,7,18,3,10,3,8,9,10,5,8,2,10,2,8,2,10,24,8,1,10,16,18,1,10,48,8,1,10,48,8,4,10,4,8,7,10,16,8,2,10,4,8,5,10,18,8,2,10,7,8,13,10,20,8,1,10,72,8,1,18,5,10,2,8,1,10,1,8,3,10,40,4,3,19,14,4,5,10,31,18,2,10,61,8,3,10,6,8,3,10,28,8,2,10,1,8,1,10,7,8,2,10,8,8,10,10,305,9,1,18,1,4,13,19,6,4,8,18,5,8,1,10,3,8,2,18,9,9,1,10,2,9,2,8,2,10,5,8,1,18,2,14,2,18,2,8,1,10,1,8,1,18,3,3,3,18,1,4,68,19,1,4,1,19,3,4,6,10,27,8,6,10,22,8,1,10,1,8,5,10,37,8,2,10,5,8,4,10,26,8,3,10,207,4,3,19,11,4,4,10,46,18,1,10,14,8,3,10,32,8,4,10,6,8,2,10,10,18,2,10,18,8,1,10,25,4,1,19,7,4,36,10,2,8,3,10,16,4,441,},
{4,726,19,8,4,2,9,1,8,2,18,2,9,1,8,2,10,1,8,8,10,3,8,2,10,5,3,4,10,3,18,1,3,1,18,3,3,1,16,2,3,1,10,1,18,1,10,1,3,1,16,1,3,1,18,1,10,99,8,4,10,2,8,2,10,15,8,1,18,2,8,1,18,2,8,1,10,14,8,8,10,11,8,2,10,9,8,1,18,1,10,6,8,2,10,5,8,1,10,16,18,1,10,48,8,1,10,49,8,2,10,5,8,8,10,20,8,5,10,20,8,1,10,8,8,10,10,6,8,3,10,22,8,3,10,62,9,1,18,5,10,1,8,1,10,1,8,3,10,35,4,7,19,18,4,3,10,93,8,3,10,3,8,6,10,29,8,3,10,7,18,2,10,9,8,9,10,7,8,2,10,5,8,1,10,294,18,1,4,10,19,4,4,6,18,8,9,1,10,5,8,2,18,2,8,3,9,1,18,1,9,1,10,13,8,2,18,1,8,2,10,5,18,6,4,64,19,9,4,2,10,30,9,2,8,5,10,18,8,4,10,34,8,2,10,8,8,1,10,7,8,3,10,26,8,3,10,208,4,14,10,49,18,1,10,40,8,1,10,8,8,3,10,27,8,1,10,10,8,2,10,25,4,1,19,7,4,36,10,1,8,4,10,10,8,1,10,2,8,2,18,1,4,58,19,5,4,378,},
{4,726,19,8,4,2,10,1,8,6,10,3,8,8,10,2,8,1,18,1,10,3,18,2,3,1,16,2,3,1,10,3,18,5,3,4,10,1,18,1,10,1,3,1,16,1,3,1,18,1,10,4,18,2,8,1,10,80,8,4,10,7,8,4,10,3,8,2,10,7,18,2,10,6,8,1,18,1,8,2,18,1,8,1,10,14,8,9,10,20,8,1,18,3,10,5,8,1,18,3,10,4,8,2,10,15,18,1,10,48,8,1,10,15,8,1,10,29,8,2,10,2,8,2,10,5,8,8,10,20,8,3,10,33,8,7,10,5,8,5,10,22,9,1,18,1,9,1,8,1,10,63,18,4,10,1,8,1,10,39,4,7,19,19,4,2,10,18,18,2,10,72,8,4,10,3,8,6,10,30,8,2,10,7,18,1,8,1,10,10,8,8,10,7,8,2,10,15,8,1,10,285,4,11,19,1,4,4,18,5,9,1,10,13,8,4,10,30,18,4,4,63,19,10,4,2,10,1,8,2,10,20,9,2,10,11,8,2,10,6,8,1,10,10,8,4,10,43,8,2,10,7,8,2,10,6,8,1,10,19,8,4,10,209,4,12,10,131,8,2,10,7,8,2,10,26,4,1,19,7,4,36,9,1,8,3,10,11,8,2,10,1,8,2,18,1,4,57,19,6,4,378,},
{4,726,19,8,4,2,18,2,8,3,10,3,8,8,10,2,8,3,10,3,18,1,3,2,16,3,3,1,18,1,10,2,18,3,10,2,18,1,3,2,18,2,10,1,18,1,16,2,3,1,18,1,10,4,18,2,10,80,8,5,10,7,8,4,10,3,8,2,18,1,10,7,18,1,10,6,8,1,18,1,8,2,18,1,8,1,10,15,8,1,10,7,8,1,10,18,8,1,18,1,14,1,18,2,10,5,18,1,3,2,18,1,8,1,10,3,8,2,10,55,8,1,10,23,8,3,10,16,8,1,10,11,8,2,10,3,8,1,10,4,8,9,10,20,8,2,10,36,8,5,10,5,8,5,10,12,8,2,10,9,18,2,8,1,10,44,8,2,10,17,18,3,10,42,4,6,19,20,4,2,10,18,18,2,10,73,8,2,10,6,8,2,10,32,8,2,10,3,8,2,10,2,8,1,10,2,8,1,10,8,8,8,10,313,18,5,4,8,18,2,9,1,10,16,8,3,10,5,9,2,10,8,8,1,10,17,18,1,4,65,19,8,4,3,18,3,8,1,10,20,9,5,10,7,8,2,10,5,8,2,10,10,8,4,10,43,8,2,10,8,8,1,10,6,8,2,10,18,8,2,10,211,4,12,10,134,8,3,10,3,8,1,10,27,4,2,19,6,4,30,19,4,4,2,10,1,8,3,10,11,8,5,18,1,4,57,19,6,4,378,},
{4,726,19,7,4,3,18,2,8,2,10,2,8,5,10,3,8,2,10,2,8,2,10,3,18,2,3,1,16,4,3,1,10,9,18,1,3,5,16,2,3,1,10,4,18,1,3,2,10,81,8,4,10,7,8,4,10,3,8,2,10,15,8,1,18,1,8,2,18,1,8,1,10,6,18,1,10,30,8,1,10,3,8,1,18,1,3,3,18,1,10,4,8,1,14,1,3,2,14,1,18,1,10,3,8,2,10,53,8,6,10,20,8,3,10,16,8,3,10,9,8,2,10,2,8,3,10,3,8,9,10,1,8,2,10,1,8,1,10,54,8,5,10,5,8,3,10,13,8,1,10,11,18,1,8,1,10,44,8,1,10,14,4,5,18,1,4,1,10,42,4,6,19,20,4,2,10,18,18,2,10,23,18,1,10,91,8,3,10,2,8,3,10,3,8,2,10,8,8,8,10,34,18,2,10,13,18,3,10,262,8,2,18,2,4,7,18,1,10,27,9,4,10,6,8,1,10,18,18,1,4,1,18,1,4,62,19,5,4,5,18,2,8,3,10,51,9,1,8,2,9,1,10,42,8,3,10,15,8,1,10,16,8,4,10,201,4,3,10,8,4,11,10,92,8,1,10,5,8,2,10,5,8,1,10,5,8,1,10,24,8,7,10,26,4,2,19,6,4,30,19,5,4,1,9,1,8,2,10,17,18,1,4,57,19,6,4,378,},
{4,726,19,7,4,2,18,3,8,2,10,2,8,5,10,12,18,1,3,3,16,2,3,1,18,1,10,8,18,1,3,6,16,1,3,1,18,1,10,4,3,3,18,1,10,80,8,4,10,7,8,4,10,3,8,2,10,8,18,1,10,6,8,2,18,1,8,1,18,1,8,1,10,4,18,4,10,8,18,1,10,3,8,2,10,8,18,1,10,1,8,2,10,2,8,1,18,1,8,1,10,2,18,1,3,4,18,1,10,5,18,1,14,2,18,2,8,2,10,1,8,3,10,51,8,7,10,39,8,4,10,2,8,4,10,2,8,2,10,2,8,21,10,54,8,5,10,20,8,1,10,1,4,9,10,1,8,1,10,43,18,2,8,1,10,13,4,10,10,40,4,6,19,6,4,8,19,6,4,2,10,98,8,1,10,36,8,3,10,2,8,3,10,3,8,3,10,6,8,9,10,48,18,4,10,30,8,1,10,233,9,2,10,2,18,3,10,45,8,2,10,4,8,1,10,7,18,4,4,61,19,4,4,4,10,17,8,1,10,41,9,2,10,81,8,1,10,198,4,12,10,73,18,1,10,31,8,1,10,5,8,2,10,5,8,2,10,28,8,8,10,26,4,1,19,5,4,32,19,5,4,1,9,1,8,3,10,16,4,11,19,12,4,34,19,7,4,2,19,8,4,7,19,2,4,359,},
{4,726,19,7,4,1,10,1,18,3,8,2,10,1,8,7,10,3,8,4,10,3,18,2,3,3,16,1,3,2,18,1,10,8,18,1,3,2,16,4,3,2,18,1,10,3,18,1,3,3,9,1,10,91,8,4,10,3,8,2,10,16,8,1,18,2,8,1,18,1,8,1,10,4,18,2,10,8,18,2,8,1,10,12,18,1,10,5,18,2,8,3,18,1,3,1,16,2,3,1,18,1,10,5,18,2,14,2,18,2,8,1,10,3,8,2,10,5,8,2,10,43,8,5,10,42,8,38,10,54,8,3,10,22,4,10,10,44,18,2,8,1,10,13,4,1,19,7,4,2,10,5,8,2,10,33,4,6,19,6,4,8,19,6,4,2,10,20,18,1,10,8,18,1,10,67,8,3,10,36,8,2,10,2,8,3,10,3,8,3,10,4,8,1,10,1,8,9,10,47,18,4,10,31,8,1,10,285,8,2,10,2,8,4,10,6,8,1,18,1,3,1,18,1,4,61,19,4,4,1,18,2,9,1,10,16,8,3,10,59,8,1,10,262,4,2,19,6,4,4,10,71,18,3,10,31,8,1,10,5,8,2,10,5,8,2,10,29,8,6,10,27,4,1,19,5,4,32,19,5,4,1,10,1,8,6,10,13,4,10,19,14,4,32,19,28,4,358,},
{4,726,19,7,4,1,10,2,18,1,9,1,8,11,10,1,8,3,18,1,8,2,10,1,18,1,8,1,18,2,3,4,18,2,10,9,18,1,3,1,16,4,3,3,18,1,10,3,18,3,10,1,9,1,10,2,8,3,10,84,8,4,10,22,8,2,18,2,8,1,10,6,18,1,10,2,18,2,8,1,10,2,18,1,3,1,18,1,8,1,10,1,18,3,10,7,18,1,10,6,18,3,8,1,18,1,3,2,16,3,18,1,10,5,18,1,14,4,18,1,8,1,10,3,8,1,18,1,8,1,10,4,8,2,10,44,8,4,10,37,8,1,10,4,8,38,10,7,8,2,10,46,8,2,10,22,4,3,19,4,4,3,10,40,8,2,10,1,9,2,18,1,8,1,10,13,4,1,19,7,4,2,10,5,8,2,10,32,18,1,4,5,19,7,4,8,19,6,4,2,10,50,18,1,10,46,8,1,18,1,10,37,8,2,10,4,8,1,10,3,8,2,10,7,8,9,10,7,8,1,10,41,18,2,10,316,8,3,10,2,8,4,10,6,8,1,18,1,3,1,18,1,4,61,19,3,4,3,18,2,10,15,8,4,10,6,8,1,9,1,10,43,8,2,10,6,8,1,10,64,8,1,10,197,4,2,19,8,4,2,10,71,18,3,10,37,8,2,10,5,8,3,10,14,8,1,10,46,4,1,19,5,4,32,19,5,4,1,10,1,8,6,10,13,4,10,19,18,4,26,19,38,4,350,},
{4,726,19,7,4,1,10,2,8,16,18,1,8,2,10,1,18,5,3,3,18,1,10,11,18,1,3,1,16,4,3,4,10,4,18,1,10,2,18,1,10,2,8,3,10,84,8,3,10,3,8,2,10,18,8,2,18,3,10,6,18,1,10,1,18,2,3,1,18,1,10,2,18,1,3,2,18,1,10,1,18,2,10,8,18,1,10,7,8,1,10,3,18,1,3,1,16,3,14,1,10,5,18,1,14,4,18,1,8,1,10,3,8,1,18,2,8,1,10,4,8,2,10,83,8,3,10,3,8,2,10,3,8,34,10,4,8,7,10,53,8,2,10,12,4,2,19,6,4,3,10,44,8,1,10,13,4,1,19,8,4,3,10,5,8,1,10,30,18,1,10,1,18,1,4,4,19,7,4,9,19,6,4,2,10,92,8,1,10,4,8,2,10,8,8,3,10,22,8,1,10,4,8,1,10,9,8,1,10,8,8,8,10,3,8,2,10,25,18,1,10,18,18,1,10,315,8,5,10,2,8,3,10,7,9,1,18,3,4,61,19,3,4,4,18,2,10,13,8,5,10,6,8,2,10,44,8,1,10,73,8,1,10,195,4,2,19,8,4,2,10,72,18,2,10,44,8,3,10,13,8,2,10,45,4,2,19,5,4,32,19,5,4,1,10,1,8,6,10,13,4,10,19,18,4,26,19,38,4,350,},
{4,726,19,7,4,1,10,2,8,16,18,1,10,1,18,4,3,6,18,1,10,9,18,1,10,2,3,1,16,4,3,1,18,1,3,1,18,1,4,4,10,92,8,3,10,4,8,2,10,18,8,2,18,1,8,2,10,3,8,2,10,1,18,1,10,1,8,1,3,2,18,1,10,2,3,3,18,1,10,24,3,1,16,3,3,1,10,5,18,1,3,2,14,2,18,1,9,1,10,1,9,1,8,2,18,3,8,1,10,3,8,3,10,82,8,3,10,2,8,3,10,4,8,13,10,2,8,18,10,3,8,10,10,50,8,3,10,10,8,1,9,1,4,2,19,6,4,2,10,35,8,1,10,21,9,1,4,2,19,9,4,3,10,35,18,1,10,1,18,1,4,4,19,6,4,10,19,6,4,2,10,4,8,1,10,9,18,3,10,17,18,2,10,56,8,1,10,5,8,1,10,8,8,3,10,22,8,1,10,13,8,2,10,8,8,1,10,7,8,6,10,22,18,2,10,1,18,1,10,331,8,3,10,2,8,2,10,2,8,2,10,8,9,1,18,4,4,60,19,5,4,4,10,12,8,5,10,102,8,1,10,14,8,1,10,205,4,2,19,8,4,2,10,78,18,1,10,35,8,4,10,16,8,2,10,44,4,3,19,5,4,32,19,5,4,1,10,1,8,1,10,2,8,1,10,12,8,2,10,1,4,8,19,20,4,23,19,42,4,349,},
{4,726,19,7,4,1,10,2,8,17,10,1,18,5,3,5,18,1,10,6,18,2,10,4,3,1,16,4,3,1,18,2,4,5,18,1,8,1,10,40,8,4,10,37,8,2,10,7,8,3,10,4,8,3,10,18,8,1,18,1,8,2,10,6,18,2,10,1,18,2,8,1,10,2,18,1,3,2,18,1,10,13,8,1,10,10,8,1,3,1,16,2,14,1,10,5,18,1,14,3,18,1,8,1,10,2,18,6,8,1,10,83,8,14,10,3,8,46,10,44,8,9,10,12,4,2,19,6,4,2,10,35,8,2,10,6,8,1,10,13,4,2,19,12,4,1,10,37,18,1,4,4,19,6,4,11,19,5,4,2,10,15,18,2,10,16,18,3,10,72,8,2,10,33,8,1,10,19,8,2,10,1,8,1,10,6,8,1,10,19,18,2,10,332,8,3,10,2,8,2,10,2,8,2,10,9,8,1,18,3,4,60,19,7,4,2,18,1,10,11,8,3,10,26,8,3,10,75,8,4,10,11,8,2,10,204,4,2,19,8,4,2,10,78,18,1,10,36,8,3,10,62,4,2,19,6,4,32,19,5,4,1,10,17,8,2,10,2,4,7,19,20,4,22,19,43,4,349,},
{4,726,19,6,4,2,10,1,18,2,8,5,10,1,8,9,10,2,8,1,18,1,10,3,18,1,3,5,10,2,18,1,10,1,18,4,10,1,18,3,3,1,16,4,3,1,18,1,4,5,3,3,10,3,18,1,8,1,10,36,8,1,10,29,8,1,10,8,18,1,8,2,10,3,18,1,8,1,10,1,8,4,10,4,8,3,10,18,8,1,18,1,8,2,10,6,18,2,9,1,10,3,18,1,10,1,18,1,3,2,18,1,10,2,8,1,18,2,10,12,8,1,10,8,18,1,3,1,14,1,8,1,10,4,8,1,18,4,8,1,10,1,9,1,18,4,8,3,10,65,8,1,10,17,8,63,10,44,8,8,10,13,4,2,19,6,4,2,10,34,8,4,10,19,4,2,19,12,4,2,10,37,4,4,19,10,4,14,10,47,18,1,10,2,18,2,10,22,18,2,10,66,8,2,10,7,8,3,10,5,8,7,10,5,8,1,18,3,10,38,18,1,10,318,8,1,10,4,8,2,10,10,18,2,4,60,19,7,4,4,10,11,8,2,10,9,8,2,10,15,8,4,10,75,8,3,10,11,8,2,10,173,8,5,10,26,4,3,19,7,4,2,10,118,8,1,10,61,4,2,19,6,4,32,19,5,4,2,10,4,8,1,10,15,4,7,19,20,4,22,19,22,4,16,19,6,4,348,},
{4,727,19,2,4,6,18,2,8,4,10,1,8,11,10,6,18,1,3,3,18,2,10,4,18,4,3,3,18,1,3,2,16,4,3,1,18,1,4,3,18,1,3,2,18,1,10,2,8,1,18,2,10,65,8,2,10,8,18,1,8,2,10,3,8,1,10,2,8,4,10,3,8,5,10,17,8,3,10,9,18,1,10,5,18,1,3,2,18,1,10,2,18,1,3,1,18,1,10,2,18,1,10,8,18,3,10,9,8,2,10,2,9,1,8,1,9,1,8,1,18,3,8,1,10,2,8,1,18,3,10,23,18,1,10,43,8,2,10,16,8,47,10,2,8,16,10,25,8,1,10,12,8,1,10,4,8,9,10,12,4,3,19,5,4,2,10,34,8,3,10,20,4,2,19,12,4,2,10,38,4,5,19,8,4,13,10,50,18,3,10,21,18,4,10,1,18,1,10,62,8,3,10,7,8,3,10,5,8,5,10,1,8,1,10,4,8,1,18,4,10,37,9,1,18,1,9,1,18,2,10,320,8,2,10,6,8,1,10,4,18,2,4,60,19,7,4,3,10,11,8,2,10,6,8,1,10,1,8,4,10,3,8,4,10,8,8,4,10,15,9,2,10,71,8,2,10,174,8,2,18,1,8,1,10,26,4,3,19,7,4,2,10,47,8,2,10,69,8,2,10,60,4,2,19,5,4,33,19,5,4,2,10,1,8,1,10,2,8,2,10,14,4,7,19,5,4,1,19,2,4,6,19,6,4,22,19,14,4,25,19,5,4,348,},
{4,736,18,1,8,10,10,2,8,3,18,1,10,5,18,1,3,2,18,1,10,6,18,2,10,1,18,1,3,4,18,1,3,1,16,5,3,3,18,2,3,3,10,4,18,1,10,66,8,1,10,9,8,3,10,5,8,5,10,3,8,4,10,1,8,1,10,14,8,2,10,8,18,2,8,1,10,4,18,12,10,3,18,1,10,6,18,2,14,1,18,1,8,1,10,11,8,1,18,1,15,1,8,2,14,1,3,2,18,1,8,1,10,1,9,1,8,1,18,1,8,1,10,82,8,69,10,24,8,2,10,4,8,9,10,5,8,8,10,12,4,9,10,57,4,2,19,13,4,2,10,39,4,5,19,6,4,12,10,51,18,3,10,22,18,7,10,36,8,1,10,23,8,3,10,6,8,4,10,6,8,2,10,1,8,2,10,1,8,1,10,2,8,2,18,4,10,36,18,3,10,1,18,1,10,321,8,2,10,10,18,3,4,62,19,6,4,3,10,10,8,2,10,9,8,11,10,27,9,1,10,35,4,12,10,24,8,2,10,176,8,2,10,27,4,2,19,7,4,2,10,47,8,2,10,100,18,2,10,29,4,40,19,5,4,2,10,1,8,1,10,2,8,2,10,13,4,5,19,8,4,10,19,9,4,18,19,12,4,4,18,1,4,1,18,1,4,1,10,4,18,1,10,10,4,4,19,5,4,348,},
{4,736,18,1,8,9,10,4,8,2,18,1,10,5,18,1,3,2,18,1,10,6,18,2,10,1,18,1,3,3,18,1,10,1,18,1,16,8,3,4,10,4,9,2,10,82,8,7,10,3,8,4,10,15,8,3,10,8,18,1,3,1,18,1,10,4,3,4,18,6,8,1,10,3,18,2,10,6,18,4,8,2,10,9,9,1,18,1,3,2,14,2,3,3,14,1,8,1,10,3,8,2,10,81,8,30,10,1,8,21,10,2,8,16,10,23,8,3,10,2,8,11,10,7,8,2,18,3,8,2,10,12,4,8,10,31,8,1,10,25,4,2,19,13,4,2,10,40,4,4,19,6,4,12,10,51,18,3,10,22,18,3,10,1,18,3,10,17,8,1,10,51,8,4,10,10,8,2,10,2,8,4,10,37,18,4,10,1,18,1,10,323,8,1,10,10,18,3,4,62,19,7,4,3,10,9,8,2,10,10,8,11,10,28,8,1,10,33,4,12,10,232,4,1,19,7,4,2,10,48,8,1,10,100,18,1,10,30,4,40,19,5,4,2,10,5,8,1,10,10,8,1,10,2,4,4,19,10,4,2,10,5,4,2,19,9,4,18,19,12,4,2,10,2,18,1,10,19,4,3,19,5,4,348,},
{4,729,19,5,4,2,18,1,8,9,10,4,8,3,10,6,18,1,3,2,18,2,10,4,18,4,3,2,18,1,10,2,18,1,3,1,16,7,3,3,18,1,4,3,18,2,8,1,10,10,8,2,10,29,8,2,10,39,8,7,10,3,8,4,10,15,8,3,10,2,8,3,10,3,18,1,3,1,18,1,10,4,3,1,16,3,3,1,18,1,10,1,18,1,8,1,10,17,8,3,10,2,9,1,18,3,10,2,8,1,14,1,3,7,14,1,18,1,10,4,9,1,10,46,8,1,10,35,8,27,10,3,8,21,10,3,8,17,10,21,8,2,10,4,8,11,10,6,8,2,18,3,8,3,10,7,8,1,10,3,4,8,9,1,10,14,8,6,10,9,8,5,10,13,8,2,10,8,4,2,19,11,4,4,10,39,4,5,19,5,4,12,10,16,18,1,10,34,18,4,10,45,8,1,10,51,8,4,10,14,8,2,10,39,18,2,10,326,8,2,10,9,18,4,4,64,19,5,4,3,10,10,8,1,10,11,8,5,10,3,8,2,10,28,8,2,9,1,10,31,4,12,10,232,4,1,19,5,4,4,10,147,18,1,10,1,8,2,10,29,4,1,19,1,4,2,19,1,4,35,19,5,4,1,10,6,8,1,10,10,8,1,10,2,4,4,19,9,4,3,10,6,4,4,19,6,4,16,19,13,4,3,10,1,18,1,10,2,8,1,10,9,8,2,10,6,4,3,19,5,4,348,},
{4,728,19,6,4,2,18,1,8,10,10,3,8,2,10,8,18,1,3,2,18,1,10,6,18,3,10,4,18,1,3,2,16,6,3,2,18,1,4,5,18,1,10,11,8,2,10,22,8,1,10,6,8,3,10,39,8,6,10,3,8,3,10,16,8,3,10,2,8,3,10,1,18,1,10,1,18,2,8,1,10,3,8,1,3,1,16,3,3,1,8,1,10,6,8,1,18,1,8,1,10,12,8,2,10,1,8,1,18,1,3,3,18,1,9,1,8,1,14,1,3,1,16,2,3,2,14,2,18,1,8,1,10,52,8,2,10,34,8,23,10,5,8,22,10,4,8,20,10,17,8,2,10,4,8,11,10,6,8,2,18,2,8,5,10,5,8,3,10,2,4,8,10,15,8,6,10,4,8,1,10,4,8,5,10,13,8,3,10,7,4,3,19,11,4,3,10,40,4,21,10,16,18,1,10,34,18,5,10,38,8,3,10,2,8,2,10,50,8,2,10,21,8,1,18,1,10,363,8,3,10,5,8,1,10,2,18,3,4,65,19,6,4,2,10,23,8,3,10,34,8,2,9,1,10,30,4,16,10,119,8,1,10,109,4,10,10,103,18,1,10,20,8,1,10,22,18,1,8,3,10,28,4,2,19,5,4,34,19,5,4,2,10,16,8,1,10,2,4,4,19,9,4,3,10,6,4,4,19,6,4,16,19,9,4,7,10,1,18,1,10,13,8,1,10,7,4,3,19,3,4,349,},
{4,728,19,7,4,2,18,1,8,11,10,5,8,2,10,2,8,1,10,1,18,1,3,2,18,1,4,4,10,8,18,1,10,1,18,1,3,2,16,5,3,1,18,1,4,6,10,42,8,5,10,38,8,6,10,3,8,3,10,16,8,1,10,1,8,6,10,1,18,1,10,1,18,2,10,5,3,1,16,3,3,1,10,7,18,1,14,1,18,1,10,1,18,1,10,10,8,2,9,1,18,1,3,1,16,3,3,1,18,1,8,1,18,1,3,1,16,2,3,1,18,1,10,4,8,2,10,49,8,2,10,38,8,6,10,2,8,11,10,6,8,22,10,4,8,21,10,15,8,1,10,6,8,12,10,5,8,10,10,4,8,2,18,2,10,24,8,5,10,5,8,2,10,3,8,6,10,12,8,3,10,7,4,2,19,12,4,2,10,47,4,3,18,1,10,2,18,8,10,1,18,2,10,48,18,6,10,38,8,4,10,2,8,1,10,49,8,1,10,14,8,2,10,6,8,1,18,3,10,361,8,4,10,4,8,2,10,1,8,1,18,3,4,65,19,6,4,2,10,16,8,2,10,6,8,1,10,12,8,1,10,23,8,1,10,4,4,8,10,18,4,2,19,12,4,7,10,137,8,2,10,88,4,1,18,1,4,2,10,106,18,3,10,7,8,1,10,7,8,3,10,17,18,1,10,5,18,3,8,1,10,29,4,2,19,5,4,34,19,6,4,2,10,15,8,1,10,2,4,4,19,6,4,5,10,8,4,3,19,8,4,9,19,13,4,5,10,4,18,1,10,13,8,1,10,8,4,354,},
{4,728,19,7,4,3,9,1,8,10,10,4,8,3,10,2,8,1,10,1,18,1,3,1,18,1,4,5,10,5,18,2,10,1,18,2,10,1,18,1,3,2,16,3,3,2,18,1,4,5,18,1,10,4,8,4,10,34,8,6,10,30,8,1,10,6,8,6,10,3,8,3,10,18,8,5,10,5,8,1,10,5,3,1,16,3,3,1,10,1,18,1,10,4,8,1,18,1,3,1,18,1,10,1,18,1,10,12,8,1,18,1,3,1,16,4,18,1,8,1,18,1,3,1,16,2,3,1,18,1,10,4,18,2,8,1,10,18,18,2,10,68,8,6,10,2,8,10,10,7,8,2,10,5,8,15,10,4,8,22,10,14,8,1,10,7,8,11,10,4,8,13,10,1,8,2,18,4,10,15,8,3,10,6,8,3,10,6,8,2,10,3,8,7,10,1,8,4,10,6,8,3,10,7,4,2,19,12,4,3,18,2,10,52,18,3,10,4,18,3,10,47,18,3,10,1,18,2,10,38,8,4,10,48,8,5,10,12,8,4,10,6,18,4,10,361,8,4,10,4,8,4,18,3,4,66,19,4,4,3,10,15,8,4,10,35,8,1,10,11,4,8,10,18,4,1,19,17,4,4,10,136,8,2,10,89,9,2,10,59,8,2,10,45,18,5,10,6,8,1,10,7,8,3,10,2,8,1,10,13,18,3,10,4,18,3,8,1,10,26,8,1,18,1,10,2,4,1,19,5,4,34,19,6,4,2,10,14,8,2,10,3,4,4,19,4,4,5,10,10,4,2,19,8,4,8,19,14,4,2,10,7,18,1,8,1,10,12,8,2,10,7,4,354,},
{4,728,19,8,4,2,9,1,8,10,10,1,18,2,10,1,8,2,10,5,8,1,18,1,4,6,10,4,18,1,3,2,18,2,10,2,18,2,3,2,16,1,3,2,18,1,10,1,4,4,18,9,8,1,10,33,8,7,10,37,8,7,10,1,8,5,10,17,8,4,10,12,18,1,3,3,18,1,10,7,18,3,10,14,8,1,3,2,16,4,18,1,8,1,18,1,3,2,16,1,3,1,18,1,10,3,8,1,18,2,10,19,18,2,10,68,8,19,10,6,8,1,10,7,8,14,10,4,8,27,10,10,8,2,10,5,8,5,18,5,8,1,10,5,8,8,18,1,8,7,18,2,8,1,10,15,8,5,10,13,8,3,10,3,8,5,10,4,8,2,10,7,8,2,10,7,4,3,19,11,4,2,18,3,10,60,18,2,10,47,18,2,10,43,8,3,10,46,8,7,10,10,8,7,10,5,8,1,18,2,8,1,10,70,18,3,10,289,8,2,10,6,8,3,18,3,4,73,10,17,8,3,10,34,8,2,10,5,9,1,10,4,4,8,10,18,4,1,19,17,4,4,10,335,18,5,10,6,8,1,10,7,8,7,10,12,18,3,10,4,18,3,8,1,10,26,8,1,9,1,10,2,4,1,19,5,4,35,19,5,4,2,10,14,8,2,10,2,4,14,10,10,4,4,19,6,4,6,19,16,4,2,10,8,8,2,10,11,8,2,10,7,4,3,19,3,4,348,},
{4,728,19,8,4,2,8,10,10,2,18,2,10,1,8,1,10,1,18,1,10,2,18,1,10,3,4,6,18,3,3,4,18,1,10,3,18,1,3,2,16,1,3,2,9,1,10,2,4,2,18,1,3,3,18,2,3,2,14,1,18,1,8,1,10,35,8,6,10,38,8,13,10,15,8,4,10,14,18,4,10,2,18,2,3,2,18,4,10,14,9,1,18,1,3,2,16,2,3,2,14,1,3,5,18,6,10,5,8,1,18,1,8,1,10,13,18,1,10,67,8,20,10,6,8,1,10,3,8,19,10,2,8,30,10,8,8,3,10,5,8,3,18,6,8,1,10,5,8,7,18,2,8,7,18,2,8,1,10,8,8,4,10,4,8,3,10,14,8,3,10,2,8,5,10,6,8,1,10,14,8,1,10,1,18,1,4,4,19,9,4,2,18,3,9,1,10,48,8,1,10,36,18,3,10,20,18,2,10,43,8,2,10,44,8,10,10,7,8,9,10,3,8,6,10,35,18,1,10,19,8,1,10,15,18,2,10,299,8,2,18,2,4,74,10,19,8,3,10,4,8,4,10,4,8,2,10,18,8,2,10,9,4,9,10,17,4,1,19,18,4,4,10,301,8,1,10,12,18,2,10,20,18,4,10,6,8,1,10,7,8,3,10,3,8,3,10,10,18,2,10,4,8,1,10,1,18,1,8,3,10,25,8,1,10,3,4,1,19,4,4,35,19,6,4,2,10,14,8,2,10,3,4,12,10,11,4,4,19,6,4,6,19,13,4,1,19,1,4,3,10,8,8,2,10,11,8,2,10,7,4,2,19,4,4,348,},
{4,728,19,9,4,1,10,1,8,3,9,1,18,2,8,1,10,3,8,1,18,1,10,1,8,1,10,1,18,2,10,2,18,1,10,2,4,6,18,1,3,8,18,2,3,3,16,3,3,1,18,1,10,4,18,1,3,2,18,2,3,3,18,1,10,38,8,4,10,31,8,1,10,7,8,14,10,14,8,3,10,7,18,1,10,12,18,1,3,2,16,2,3,3,18,1,10,14,9,1,18,1,10,1,18,1,3,15,18,1,10,2,8,1,18,5,10,79,8,27,10,4,8,53,10,6,8,5,10,4,8,3,18,6,8,1,10,5,8,7,18,1,8,11,10,5,8,8,10,19,8,11,10,20,8,2,10,4,4,4,19,7,4,2,18,3,10,49,8,2,10,35,18,4,10,19,18,1,10,45,8,1,10,43,8,11,10,7,8,8,10,3,8,5,10,33,18,1,10,4,18,2,10,16,18,2,10,5,8,1,10,6,18,2,10,303,8,1,18,2,4,3,19,3,4,68,10,19,8,4,10,2,8,5,10,3,8,3,10,18,8,2,10,6,4,14,10,14,4,2,19,18,4,6,10,312,18,1,10,21,18,3,10,7,8,2,10,6,8,2,10,5,8,1,10,18,8,5,10,29,4,1,19,4,4,35,19,6,4,2,10,1,8,4,10,9,8,2,10,3,4,11,10,13,4,3,19,24,4,6,10,9,8,1,10,11,8,2,10,7,4,2,19,4,4,348,},
{4,729,19,8,4,1,9,1,8,3,18,3,8,1,10,8,3,2,10,2,18,2,10,1,18,1,4,3,18,1,3,3,16,3,3,8,16,4,3,1,18,2,10,2,9,1,3,2,18,4,3,2,8,1,10,40,8,1,10,32,8,1,10,5,18,1,8,1,10,1,8,13,18,1,10,14,8,2,10,3,8,1,10,2,18,1,10,1,18,1,10,5,18,1,10,4,18,1,3,1,16,4,3,1,18,2,10,20,18,2,3,1,16,3,3,1,18,2,3,5,18,1,10,1,8,1,18,1,3,4,18,1,10,78,8,28,10,3,8,20,10,1,8,25,10,1,8,19,10,3,8,3,18,4,8,3,10,5,8,4,18,1,8,7,10,3,8,4,10,3,8,12,10,4,8,1,18,1,8,1,10,8,8,13,10,23,8,1,10,3,4,8,19,1,4,3,18,3,10,63,18,2,10,21,18,4,10,108,8,12,10,7,8,6,10,5,8,4,10,33,18,1,10,4,18,2,10,17,18,2,10,12,18,2,10,303,8,1,18,2,4,2,19,4,4,68,10,20,8,2,10,3,8,5,10,3,8,4,10,25,4,14,10,14,4,2,19,18,4,6,10,129,8,3,10,171,8,1,10,8,18,2,10,30,8,2,10,14,8,2,10,16,8,6,10,28,4,1,19,4,4,36,19,5,4,2,9,1,8,4,10,9,8,2,10,3,4,11,8,1,10,11,8,1,18,1,4,3,19,23,4,6,10,1,18,1,10,19,8,1,10,8,4,1,19,5,4,348,},
{4,730,19,7,4,2,10,2,8,1,18,3,8,1,10,7,18,1,3,1,18,1,10,2,3,2,10,1,18,2,10,1,18,1,3,2,16,4,3,9,16,3,3,1,18,1,10,4,18,1,3,2,18,5,9,1,10,79,8,1,18,2,10,1,8,12,10,1,18,1,10,14,8,1,10,4,8,1,10,2,18,3,10,6,18,1,10,1,9,1,18,1,3,2,16,4,3,1,18,1,10,5,8,2,10,7,18,1,8,1,10,2,18,3,10,1,18,1,3,1,16,3,3,1,18,1,10,1,8,1,14,1,3,2,18,3,14,1,3,5,18,1,10,2,18,2,10,74,8,6,10,2,8,5,10,1,8,5,10,4,8,6,10,2,8,20,10,2,8,23,10,3,8,18,10,3,8,3,18,4,8,3,10,5,8,4,18,1,8,4,10,7,8,22,18,3,10,7,8,4,10,7,8,3,10,7,8,1,10,19,4,12,18,3,10,64,18,1,10,22,18,2,10,67,8,1,10,41,8,11,10,9,8,3,10,8,8,3,10,5,8,2,10,26,18,4,10,9,18,3,10,22,18,2,10,303,8,1,18,3,4,1,19,4,4,68,10,25,8,4,10,4,8,4,10,25,4,14,10,14,4,2,19,18,4,6,10,128,8,5,10,164,8,1,10,4,8,2,10,39,18,1,8,3,10,14,8,2,10,15,8,6,10,28,4,1,19,4,4,43,8,3,10,11,8,2,10,2,4,12,10,12,8,1,18,1,4,4,19,22,4,6,10,1,18,1,10,27,4,2,19,5,4,348,},
{4,730,19,7,4,2,10,2,8,1,18,2,9,1,8,1,10,4,8,2,10,1,18,5,3,1,18,1,10,1,18,1,10,3,18,1,3,6,18,2,3,6,16,2,3,1,18,1,10,6,18,3,9,1,8,1,10,83,18,1,8,1,10,1,8,4,10,3,8,5,10,16,8,2,10,3,8,1,18,1,10,4,18,1,10,5,18,1,10,1,3,4,16,4,3,1,8,1,10,4,8,1,18,2,10,11,18,3,10,2,3,1,16,3,18,1,10,3,18,1,14,2,18,3,3,2,18,3,3,1,18,1,8,1,10,51,8,3,10,24,8,11,10,12,8,5,10,1,8,20,10,3,8,45,10,1,8,4,18,4,8,2,10,1,8,14,10,11,8,5,10,5,8,6,18,5,8,1,10,27,8,1,10,20,4,11,18,1,10,153,8,1,10,4,8,3,10,40,8,9,10,4,8,2,10,9,18,2,8,1,10,11,8,3,10,38,18,3,10,9,8,2,10,11,18,1,10,304,8,1,18,3,4,1,19,4,4,68,10,23,8,5,10,5,8,5,10,24,4,14,10,14,4,2,19,18,4,6,10,129,8,5,10,162,8,2,10,4,8,2,10,10,8,1,10,27,18,3,8,2,10,15,8,1,10,15,8,6,10,27,4,2,19,4,4,43,10,14,8,2,10,2,4,12,10,11,8,2,18,1,4,4,19,21,4,7,18,2,10,27,4,2,19,5,4,348,},
{4,729,19,8,4,1,9,1,10,1,8,6,10,4,8,1,10,2,18,6,10,18,18,1,3,4,18,1,10,3,4,6,10,7,8,3,10,73,8,1,10,5,8,3,10,4,8,4,10,18,8,3,18,3,8,1,10,3,18,2,10,3,18,3,3,1,16,1,3,3,16,2,3,2,18,1,10,5,8,1,10,14,18,1,10,2,18,1,3,1,16,1,3,1,10,4,18,3,10,2,18,3,8,2,18,4,10,1,18,1,10,17,18,2,10,30,8,3,10,26,8,7,10,15,8,25,10,3,8,36,10,3,8,11,18,3,8,2,10,2,8,2,18,2,8,10,10,3,8,3,10,5,8,3,10,9,8,5,18,4,8,5,10,8,8,1,10,2,8,1,10,39,4,1,10,135,18,1,10,21,8,2,10,3,8,5,10,38,8,7,10,7,8,1,10,8,18,3,8,1,10,2,8,1,10,5,8,1,10,3,8,1,10,38,18,3,10,31,18,5,10,292,8,1,18,3,4,1,19,4,4,70,10,10,18,1,10,10,8,4,10,3,8,8,10,20,8,2,10,2,4,17,10,11,4,2,19,8,4,16,10,130,8,4,10,6,8,1,10,54,8,1,10,95,8,2,10,3,8,2,10,4,8,2,10,10,8,1,10,15,18,1,10,11,18,4,8,1,10,15,8,1,10,11,8,10,10,25,4,4,19,4,4,38,19,3,4,3,10,13,8,1,10,3,4,12,10,5,8,1,10,5,8,2,10,1,4,4,19,18,4,9,18,1,10,20,8,2,10,7,4,2,19,5,4,348,},
{4,728,19,9,4,1,10,1,8,8,10,3,8,1,10,4,18,1,3,2,18,1,10,5,8,1,10,2,18,2,10,8,18,1,3,4,10,2,18,2,4,6,10,7,18,3,8,1,10,20,8,3,10,6,8,8,10,35,8,3,10,11,8,3,10,1,8,2,10,9,8,1,10,4,8,1,18,5,10,9,18,2,10,1,3,1,16,2,3,1,9,1,18,1,3,4,8,1,10,4,8,1,18,1,10,18,18,2,10,5,18,3,10,8,8,1,18,2,8,1,10,18,18,1,10,31,8,2,10,27,8,6,10,16,8,6,10,4,8,15,10,2,8,24,18,4,8,9,10,3,8,11,18,3,8,2,10,2,8,2,18,3,8,4,10,7,8,4,10,18,8,6,18,3,8,4,10,6,8,4,18,1,8,2,10,32,8,1,10,1,8,1,10,138,18,2,10,21,8,2,10,4,18,3,10,39,8,7,10,6,8,2,10,8,18,3,8,1,10,1,8,3,10,4,8,2,10,51,18,1,10,25,18,1,10,294,8,1,18,3,4,1,19,4,4,82,10,9,8,5,10,1,8,6,10,1,8,3,10,19,8,3,18,1,4,18,10,10,4,2,19,7,4,17,10,130,8,5,10,4,8,2,10,189,18,1,10,11,18,3,8,1,10,18,8,1,10,8,8,1,10,2,8,3,10,1,8,4,10,24,4,4,19,5,4,37,19,5,4,3,10,16,4,12,10,4,8,2,10,5,8,2,10,1,4,5,19,17,4,8,18,2,10,20,8,2,10,7,4,2,19,5,4,19,19,4,4,325,},
{4,727,19,10,4,1,9,1,10,16,18,1,3,2,18,1,10,4,18,1,3,2,10,1,18,1,10,2,18,2,10,1,9,1,3,2,18,1,3,1,16,2,3,2,10,2,18,1,3,2,18,1,4,4,10,8,8,2,9,1,10,18,8,4,10,7,8,7,10,5,8,4,10,28,8,3,10,11,8,13,10,6,8,2,10,1,18,1,10,5,8,1,18,1,3,1,18,1,10,1,18,1,10,3,3,1,16,2,18,1,10,3,3,2,18,1,10,4,18,3,10,13,8,1,10,10,18,3,8,1,10,9,8,1,18,2,10,14,18,1,10,23,8,1,10,37,8,7,10,19,8,5,10,5,8,22,10,1,8,18,18,2,8,14,10,1,8,13,10,4,8,1,18,3,8,5,10,6,8,3,10,18,8,2,10,5,8,7,10,6,8,1,10,1,8,5,10,27,8,3,10,2,8,2,10,17,8,5,10,2,8,4,10,1,8,1,10,20,8,4,10,16,18,2,10,16,18,3,9,1,10,34,18,1,10,3,8,2,10,5,8,2,10,23,8,2,10,44,8,2,10,12,8,3,10,9,8,2,10,3,8,2,10,3,8,2,10,68,18,1,10,304,8,1,18,3,4,1,19,4,4,82,10,10,8,9,10,3,8,3,10,6,8,2,10,12,9,1,18,2,4,18,10,10,4,2,19,6,4,18,10,130,8,6,10,91,18,2,10,113,18,2,10,21,8,8,10,3,8,2,10,3,8,2,10,25,4,2,19,6,4,38,19,5,4,3,10,1,8,1,10,14,4,12,10,14,4,11,19,2,4,7,19,1,4,9,10,22,8,3,10,7,4,1,19,9,4,14,19,6,4,324,},
{4,726,19,7,4,5,10,17,18,1,3,2,18,1,10,3,9,1,3,1,16,1,3,1,18,1,10,3,18,3,3,1,16,7,3,1,18,3,3,2,18,1,4,4,10,8,8,3,10,29,8,6,10,5,8,5,10,28,8,4,10,10,8,7,10,3,8,2,10,10,18,1,10,6,18,1,3,2,10,5,3,1,16,2,8,1,10,1,18,2,3,2,18,1,10,3,3,4,9,1,10,9,18,1,10,2,8,2,10,5,18,1,10,3,18,3,8,3,10,8,18,2,8,1,10,37,8,1,10,35,8,7,10,11,8,2,10,8,8,5,10,4,8,22,10,2,8,33,10,2,8,13,10,1,8,1,10,3,8,8,10,6,8,3,10,12,8,1,10,12,8,3,10,10,8,1,10,2,8,3,10,27,8,4,10,2,8,2,10,5,8,2,10,6,8,3,10,4,8,8,18,2,8,1,10,20,8,4,10,15,8,1,10,16,18,5,10,11,8,1,10,5,18,1,10,16,18,2,10,2,18,2,8,1,10,4,8,1,10,84,8,2,10,15,8,1,10,4,8,2,10,33,18,1,10,339,8,1,18,2,4,3,19,2,4,83,10,11,8,7,10,4,8,3,10,6,8,1,10,14,18,2,4,18,10,10,4,19,10,137,8,7,10,228,8,8,10,3,8,3,10,2,8,2,10,24,4,3,19,6,4,38,19,6,4,2,10,17,4,8,18,2,10,16,4,2,18,1,10,1,18,4,4,20,10,33,4,3,19,7,4,14,19,6,4,324,},
{4,726,19,7,4,2,10,15,18,2,10,1,18,5,10,2,18,1,10,1,18,1,3,1,16,2,3,1,10,4,18,1,3,1,16,9,3,2,18,2,4,5,18,1,10,2,18,2,14,2,18,4,8,1,10,29,8,6,10,5,8,4,10,29,8,4,10,9,8,8,10,2,8,9,10,4,18,1,10,6,18,1,3,2,10,5,18,1,16,1,3,1,10,2,18,1,3,1,16,2,18,1,10,2,18,1,16,3,3,1,18,1,10,4,18,2,10,6,8,3,10,8,18,6,8,2,18,3,8,1,10,2,18,2,9,1,10,75,8,4,10,6,8,1,10,5,8,7,10,4,8,4,10,3,8,3,18,1,8,20,10,1,8,50,10,3,8,2,10,12,8,2,10,42,8,3,10,28,8,3,10,3,8,1,10,5,8,2,10,6,8,3,10,4,8,7,9,1,18,3,10,29,8,2,10,25,18,5,10,15,8,1,18,1,10,1,18,1,10,19,8,1,18,1,8,1,10,48,18,3,10,125,18,3,10,20,4,1,10,286,8,1,18,2,4,81,19,4,4,3,10,10,8,9,10,4,8,1,10,13,4,1,10,2,18,2,4,8,19,8,4,8,10,13,4,4,10,149,8,7,10,219,8,17,10,3,8,4,10,1,8,2,10,23,4,3,19,7,4,38,19,6,4,2,10,19,9,2,18,4,9,1,8,1,10,17,9,1,8,1,9,2,8,2,10,2,18,1,10,2,18,1,10,5,18,3,10,2,18,2,10,36,18,1,4,3,19,6,4,6,19,4,4,5,19,5,4,324,},
{4,726,19,7,4,1,10,15,18,9,10,4,3,2,16,2,3,2,18,2,3,2,16,11,3,1,18,1,10,1,4,4,3,2,18,3,3,3,18,1,8,1,18,1,14,1,18,1,8,1,10,28,8,5,10,6,8,3,10,30,8,3,10,9,8,20,10,4,18,1,10,7,18,2,10,5,8,1,3,1,18,1,10,2,18,1,16,3,3,1,10,2,18,1,16,4,3,1,18,3,10,10,8,1,18,2,8,2,10,6,18,8,14,1,18,1,8,1,10,2,8,2,10,85,8,2,10,5,8,8,10,3,8,9,18,2,8,72,10,31,8,2,10,26,8,3,10,29,8,3,10,8,8,4,10,5,8,3,10,4,8,7,9,1,18,3,10,29,8,2,10,25,18,5,9,1,10,9,8,2,10,2,8,1,10,1,18,3,10,25,8,2,10,44,18,2,10,48,8,3,10,73,18,4,10,10,4,12,10,285,8,1,18,2,4,80,19,6,4,2,10,10,8,10,10,16,4,11,19,11,4,8,10,165,8,7,10,219,8,17,18,1,10,1,18,3,8,6,10,23,4,1,19,9,4,38,19,6,4,2,10,19,8,1,9,1,18,4,9,1,8,1,10,16,8,7,10,2,18,4,10,50,4,2,19,6,4,5,19,5,4,6,19,5,4,323,},
{4,726,19,6,4,2,10,15,18,5,10,1,18,6,3,1,18,1,3,2,16,3,3,2,16,13,3,1,18,1,10,4,18,1,3,1,16,1,3,1,18,3,3,2,10,2,18,1,14,1,18,3,8,1,18,1,10,26,8,2,10,8,8,2,10,4,8,1,10,27,8,1,10,9,8,21,10,20,8,2,10,3,3,1,16,2,3,1,18,1,10,2,3,1,16,3,3,5,18,1,10,8,8,1,18,3,8,1,10,6,8,1,18,3,8,2,18,2,14,1,18,1,8,1,10,87,8,5,10,7,8,5,10,3,8,4,10,1,8,78,10,31,8,4,10,23,8,4,10,30,8,2,10,5,8,8,10,4,8,1,10,8,8,4,10,1,9,1,18,2,9,1,10,11,8,3,10,14,8,3,10,25,18,5,10,7,18,1,8,4,10,2,8,1,10,1,18,3,10,25,8,2,10,44,18,2,10,49,8,2,10,57,18,1,9,1,18,1,10,13,18,3,10,11,4,5,19,2,4,5,10,223,8,1,10,61,8,1,18,2,4,80,19,6,4,2,10,11,8,7,10,4,8,2,10,12,4,9,19,13,4,8,10,165,8,1,10,226,8,16,10,3,18,2,8,4,10,25,4,1,19,8,4,39,19,6,4,2,10,19,8,2,9,1,18,3,9,1,8,1,10,16,8,6,10,57,4,2,19,7,4,3,19,5,4,7,19,5,4,323,},
{4,726,19,6,4,2,10,3,8,1,10,5,18,1,10,7,18,1,3,2,18,5,3,3,18,2,3,2,16,17,3,2,10,4,3,1,16,3,3,1,18,2,3,2,18,1,9,1,18,6,8,1,10,36,8,1,10,5,8,1,10,36,8,22,10,10,18,2,10,2,18,2,10,10,18,1,3,1,16,1,3,1,10,2,18,1,3,1,16,2,3,2,16,2,3,2,10,9,18,3,8,1,10,7,8,1,18,1,8,1,10,2,8,1,18,4,10,86,8,6,10,10,8,1,10,3,8,4,10,2,8,78,10,31,8,4,10,13,8,2,10,8,8,9,10,6,8,1,10,25,8,10,10,16,9,1,18,2,9,1,10,4,8,3,10,5,8,3,10,12,8,2,10,28,18,3,10,8,8,1,18,2,8,2,10,32,8,3,10,7,8,1,10,36,18,1,10,106,18,5,10,9,18,2,10,13,4,7,19,5,4,3,10,223,8,2,10,60,8,1,18,3,4,79,19,6,4,2,10,14,8,4,10,3,8,3,10,3,8,2,10,7,18,1,4,7,19,14,4,8,10,394,8,14,10,4,18,1,8,4,10,24,4,2,19,7,4,40,19,6,4,2,10,15,8,3,10,1,8,2,9,1,18,3,9,1,10,5,8,1,10,11,8,6,10,57,4,3,19,6,4,3,19,5,4,7,19,6,4,322,},
{4,726,19,6,4,2,10,3,8,1,10,5,18,1,10,7,18,1,3,1,16,1,3,2,18,3,3,2,18,2,9,1,18,1,3,2,16,16,3,2,18,1,4,3,18,1,3,1,16,2,3,1,18,2,3,1,16,1,3,2,18,1,8,3,18,1,8,1,10,37,8,1,10,42,8,23,10,11,18,1,10,1,18,1,10,12,3,3,18,1,10,1,18,1,3,9,10,9,18,3,8,1,10,7,8,2,10,5,18,5,8,1,10,83,8,9,10,10,8,4,10,4,8,66,10,2,8,10,10,30,8,4,10,12,8,4,10,1,8,4,10,2,8,9,10,5,8,4,10,23,8,5,10,2,8,3,10,16,8,1,18,1,8,1,10,4,8,4,10,6,8,8,10,36,9,1,18,2,10,6,8,1,10,1,8,2,18,2,8,1,10,17,18,4,10,11,18,2,8,1,10,44,18,2,10,37,8,2,10,17,8,2,10,7,8,1,10,34,18,1,10,4,18,4,10,7,18,6,10,8,4,8,19,9,4,1,10,224,8,2,10,60,8,1,18,2,10,1,18,1,4,78,19,6,4,2,10,14,8,10,10,2,8,4,10,6,4,2,19,4,4,2,19,14,4,6,10,182,8,2,10,24,8,2,10,188,8,12,10,4,8,4,10,24,4,3,19,7,4,40,19,6,4,2,10,14,8,4,10,3,8,1,9,1,18,2,8,1,10,4,8,3,10,9,8,7,10,18,18,1,10,37,8,1,10,1,18,1,4,4,19,4,4,2,19,5,4,2,10,3,4,2,19,6,4,322,},
{4,726,19,6,4,2,10,2,8,3,10,11,18,2,3,1,16,1,3,2,10,2,18,1,3,2,18,1,10,3,18,2,3,1,16,14,3,1,18,2,4,5,3,1,16,3,3,3,16,2,3,1,18,1,10,3,9,1,10,36,8,3,10,42,8,11,10,1,8,11,10,2,8,1,9,1,18,2,10,5,18,1,10,6,18,1,10,4,18,2,10,1,18,1,3,3,18,2,3,1,16,2,3,1,18,3,3,1,18,1,10,9,8,3,10,2,8,1,10,13,8,1,18,4,10,4,9,1,8,1,10,7,8,2,10,68,8,9,10,11,8,10,10,1,8,6,18,1,8,55,10,3,8,17,10,38,8,9,10,1,8,2,18,1,8,7,10,5,8,5,10,17,8,1,10,4,8,4,10,4,8,1,10,18,8,1,10,5,8,1,18,2,8,2,10,6,8,7,10,47,18,1,8,2,18,1,8,2,10,15,18,6,10,9,8,2,18,1,8,2,10,8,18,3,10,13,18,3,10,12,8,1,10,3,18,1,10,38,8,2,10,12,8,2,10,2,8,4,10,5,8,2,10,33,18,3,10,3,18,3,10,9,18,2,10,1,18,2,10,7,4,3,19,15,4,2,10,223,8,2,10,60,8,1,18,2,10,2,4,78,19,6,4,2,10,11,8,13,10,3,8,3,10,6,4,2,19,4,4,2,19,14,4,6,10,42,8,2,10,137,8,3,10,24,8,2,10,190,8,11,10,2,8,1,10,3,8,1,10,24,4,2,19,7,4,41,19,6,4,2,10,2,8,1,10,11,8,4,10,4,8,4,10,4,8,3,10,9,8,7,10,17,18,2,10,39,18,1,9,1,10,1,4,2,19,11,4,1,18,1,10,3,4,2,19,6,4,322,},
{4,726,19,7,4,1,10,2,8,3,10,3,8,1,10,1,8,1,10,1,8,1,10,3,18,1,10,1,3,3,10,4,18,1,3,1,18,1,10,2,18,2,10,1,18,1,3,1,16,7,3,2,16,4,3,1,4,7,3,2,16,1,3,6,18,1,10,40,8,3,10,45,8,8,10,3,8,6,18,7,10,1,18,2,9,1,10,10,18,2,10,2,8,2,10,3,8,1,3,6,16,2,3,1,18,1,10,18,8,2,10,13,8,1,18,2,8,1,10,4,9,1,18,1,8,1,10,6,18,3,8,4,10,65,8,1,10,3,8,4,10,10,8,15,18,4,8,16,10,1,8,37,10,2,8,19,10,36,8,10,10,2,8,1,18,1,8,4,18,1,8,2,10,5,8,5,10,17,8,1,10,4,8,3,10,10,8,1,10,18,8,1,18,4,8,1,10,6,8,7,10,53,8,1,10,14,4,6,10,3,8,1,10,1,8,9,10,9,8,2,10,12,18,1,10,1,18,2,10,1,18,1,10,10,8,1,10,43,8,2,10,11,8,2,10,2,8,4,10,39,18,2,10,1,18,1,10,2,18,1,10,1,9,1,10,12,18,3,10,7,4,2,19,16,4,2,18,1,10,285,18,3,4,79,19,6,4,2,10,10,8,13,10,5,8,1,10,7,4,2,19,4,4,2,19,14,4,6,10,42,8,3,10,136,8,3,10,5,8,1,10,18,8,2,10,21,8,1,10,51,8,3,10,105,8,1,10,8,8,7,10,1,8,3,10,31,4,1,19,6,4,43,19,7,4,1,10,14,8,5,10,3,8,4,10,4,8,2,10,34,18,1,10,43,4,2,19,9,4,3,10,4,4,3,19,5,4,322,},
{4,726,19,7,4,2,10,1,8,1,9,1,8,8,10,4,18,1,10,1,3,2,18,1,10,4,18,1,3,1,18,1,10,2,18,2,10,2,3,2,16,6,3,2,16,3,3,1,18,1,4,7,18,1,3,7,18,1,9,1,10,10,8,2,10,25,8,6,10,50,8,3,10,3,8,6,18,5,8,1,18,1,10,2,18,1,10,11,18,1,10,2,8,1,18,2,10,2,8,1,18,2,3,5,16,2,3,1,18,1,10,18,18,1,8,1,10,14,8,2,10,6,9,1,8,1,9,1,10,5,8,1,18,5,8,1,10,70,8,4,10,3,8,4,10,3,8,13,18,2,14,2,18,2,8,13,10,4,8,36,10,1,8,21,10,30,8,1,10,4,8,10,10,2,8,1,18,1,8,2,18,4,8,2,10,4,8,4,10,18,8,1,10,5,8,2,10,8,8,1,10,1,8,4,10,8,8,1,10,6,8,1,18,3,8,1,10,9,8,5,10,51,18,1,10,15,4,7,10,5,8,1,10,1,8,2,9,1,18,2,9,1,8,1,10,8,8,4,10,11,18,1,10,1,18,5,10,9,8,1,10,48,8,1,10,6,8,3,10,2,8,4,10,36,18,2,10,1,18,3,10,28,4,2,19,12,4,1,19,1,4,4,18,2,10,284,18,4,4,78,19,6,4,2,10,11,8,10,10,15,4,1,19,5,4,2,19,14,4,5,10,43,8,2,10,137,8,3,10,5,8,1,10,93,8,4,10,103,8,2,10,9,8,6,10,35,4,1,19,5,4,44,19,7,4,1,10,18,8,1,10,3,8,4,10,5,8,1,10,78,4,3,19,6,4,4,10,5,4,3,19,5,4,322,},
{4,725,19,9,4,3,18,1,10,1,8,3,18,1,8,4,10,3,18,1,10,1,3,3,10,4,18,3,10,1,18,3,4,2,3,2,16,7,3,1,16,3,3,1,4,3,18,1,4,4,18,1,3,5,18,3,10,4,8,1,10,6,18,2,10,25,8,6,10,50,8,2,10,4,8,6,10,1,8,1,18,3,8,1,18,1,10,16,8,1,18,4,3,3,18,2,3,6,16,1,3,1,18,1,10,16,8,1,18,2,10,23,9,2,10,5,8,1,18,5,8,1,10,62,8,4,10,3,8,12,10,2,8,13,18,2,14,4,18,2,8,12,10,4,8,30,10,1,8,2,10,4,8,22,10,28,8,3,10,2,8,11,10,2,8,3,18,5,8,3,10,3,8,3,10,19,8,2,10,4,8,1,10,8,8,2,10,1,8,13,10,6,8,2,18,2,8,1,10,9,8,5,10,51,18,1,10,15,4,8,10,4,8,4,18,4,8,1,10,8,8,4,10,11,18,1,10,1,9,1,18,2,10,1,18,1,10,9,8,1,10,46,8,3,10,3,8,1,10,2,8,2,10,3,8,4,10,9,18,3,10,24,18,2,10,32,4,2,19,10,4,8,10,12,18,2,10,272,8,1,18,3,4,2,19,4,4,72,19,7,4,1,10,36,4,1,19,21,4,5,10,182,8,3,10,5,8,1,10,96,8,2,10,102,8,3,10,8,8,6,10,35,4,1,19,5,4,44,19,7,4,1,10,18,8,2,10,3,8,3,10,85,4,2,19,6,4,2,10,7,4,3,19,5,4,322,},
{4,707,19,5,4,12,19,10,4,3,18,8,8,2,10,3,18,1,10,1,3,2,18,1,10,4,18,4,3,2,18,1,4,2,18,1,3,1,16,6,3,2,16,1,3,2,4,3,18,1,3,2,4,3,3,3,18,4,10,4,8,1,18,2,8,2,18,1,8,1,10,1,8,1,3,1,14,1,10,25,8,4,10,53,8,1,10,4,8,6,10,1,8,2,18,3,8,1,10,16,8,1,18,1,3,2,16,4,18,1,10,1,18,1,3,1,18,2,8,1,18,1,3,1,16,1,3,1,18,1,10,2,8,1,10,1,18,2,10,9,8,1,18,2,8,1,10,23,9,1,10,6,8,2,18,2,8,1,10,61,8,7,10,2,8,6,10,2,8,18,18,3,14,5,18,2,8,10,10,5,8,29,10,8,8,10,18,1,8,12,10,28,8,1,10,3,8,11,10,2,8,4,18,4,8,5,10,22,8,5,10,9,8,4,10,1,8,13,10,5,8,1,18,1,8,4,10,9,8,5,10,51,18,1,10,15,18,1,4,6,10,5,8,4,18,4,8,2,10,6,8,4,10,15,9,2,18,2,10,8,8,2,10,46,8,3,10,2,8,1,18,1,8,1,10,19,18,4,10,57,4,2,19,9,4,9,10,12,18,2,10,17,8,1,10,255,18,3,4,2,19,5,4,71,19,7,4,1,10,36,4,2,19,20,4,4,10,184,8,1,10,130,8,3,10,75,8,3,10,11,8,2,10,35,4,1,19,5,4,44,19,7,4,1,10,18,8,2,10,3,8,2,10,87,4,1,19,6,4,1,18,1,8,1,10,6,4,3,19,5,4,322,},
{4,706,19,6,4,12,19,10,4,3,18,1,9,1,8,5,18,3,8,1,10,1,8,1,10,8,18,1,10,1,18,1,3,4,18,1,4,2,18,1,3,1,16,5,3,3,16,1,3,1,18,1,4,3,3,3,18,3,3,3,18,1,3,1,18,1,10,3,9,1,18,1,3,3,18,6,3,2,18,1,10,24,8,1,10,56,8,1,10,5,8,3,10,1,8,8,10,2,8,2,10,10,18,2,10,1,18,1,3,1,16,4,3,1,18,1,10,1,18,3,10,3,3,4,18,1,10,1,8,1,10,10,8,2,18,4,10,6,18,2,8,1,10,14,9,2,10,7,8,2,10,62,8,7,10,1,8,6,10,4,8,18,18,2,14,6,18,1,8,9,10,6,8,30,10,5,8,12,18,1,8,7,10,1,8,4,10,31,8,6,18,3,8,4,10,2,8,12,10,22,8,6,10,5,8,21,10,4,8,2,18,2,8,2,10,10,8,6,10,64,8,2,18,1,4,6,9,1,8,1,10,3,8,4,18,4,8,4,10,2,8,6,10,27,8,1,10,53,8,2,10,19,18,4,10,57,4,2,19,6,4,12,10,12,18,2,10,17,8,2,10,4,8,1,10,249,8,1,18,2,4,3,19,5,4,70,19,7,4,1,10,36,4,2,19,18,4,6,10,315,8,3,10,75,8,4,10,47,4,1,19,5,4,44,19,7,4,2,10,17,8,3,10,3,8,1,10,26,18,1,10,60,4,1,19,6,4,1,18,1,8,1,10,6,4,2,19,6,4,322,},
{4,706,19,6,4,12,19,10,4,3,18,1,8,7,18,1,8,1,18,2,8,2,10,1,9,1,18,2,10,3,18,2,10,1,3,4,18,1,4,2,18,1,3,1,16,4,3,2,18,2,3,2,4,4,3,1,16,1,3,7,18,2,10,4,3,2,16,1,3,6,18,1,3,3,18,1,10,72,8,1,10,18,8,7,10,3,8,1,10,11,18,2,10,1,8,1,3,1,16,4,3,1,10,2,18,3,10,1,18,1,10,2,3,2,18,1,8,1,10,13,8,1,18,4,8,1,10,4,18,1,3,2,18,1,8,1,10,3,9,1,10,18,8,2,10,61,8,14,10,5,8,18,18,2,14,6,18,1,8,9,10,5,8,31,10,1,8,15,18,3,8,6,10,1,8,5,10,30,8,2,18,2,8,2,18,3,8,4,10,4,8,10,10,22,8,6,10,4,8,17,10,3,8,2,10,4,8,1,18,1,8,1,18,1,8,2,10,10,8,5,10,66,8,1,18,1,4,5,18,1,9,1,8,2,10,3,8,10,10,3,8,3,10,2,8,1,10,73,8,1,10,28,18,1,10,1,9,1,10,58,4,2,19,6,4,12,10,30,9,1,18,1,10,4,8,1,10,252,18,1,4,3,19,5,4,71,19,6,4,2,10,36,4,1,19,17,4,7,10,316,8,1,10,76,8,6,10,6,8,1,10,12,18,3,10,23,4,1,19,5,4,44,19,7,4,2,10,17,8,3,10,30,18,1,10,60,4,8,18,1,8,1,10,6,4,2,19,5,4,323,},
{4,706,19,4,4,13,19,11,4,3,18,1,8,6,18,1,10,1,8,3,18,1,8,1,10,5,18,2,10,3,3,3,18,1,4,3,3,2,16,4,3,1,18,1,4,4,19,2,4,1,18,1,3,9,18,2,10,3,18,1,3,1,16,2,3,6,18,2,3,2,18,1,10,2,18,1,10,57,9,1,10,10,8,3,10,17,8,3,18,1,8,2,10,7,8,1,10,6,18,1,10,2,8,1,10,1,8,1,18,4,3,2,10,2,18,1,3,2,18,1,10,1,18,1,10,2,8,2,10,15,8,4,10,5,18,1,3,2,14,1,8,1,10,1,18,3,9,1,10,4,9,1,10,6,8,1,18,1,8,1,10,2,8,1,18,2,8,1,10,2,8,1,10,28,8,1,10,2,8,1,10,25,8,5,10,4,8,4,10,6,8,13,10,3,8,2,18,2,14,6,18,1,8,6,10,7,8,48,18,3,8,6,10,1,8,2,18,1,8,2,10,8,8,2,10,20,8,2,18,2,8,2,18,1,14,1,18,2,8,3,10,4,8,10,10,22,8,1,10,1,8,4,10,4,8,15,10,6,8,1,10,4,8,1,18,1,8,2,18,1,8,1,10,10,8,5,10,67,8,1,18,3,4,1,9,2,8,3,10,3,8,10,10,4,8,3,10,35,8,2,10,37,8,3,10,1,8,2,10,2,8,1,10,82,4,2,19,6,4,12,10,30,18,2,10,6,18,1,10,250,18,2,4,3,19,4,4,72,19,5,4,2,10,30,8,2,10,4,4,1,19,13,4,14,10,326,18,2,10,41,18,2,10,18,8,7,10,3,8,3,10,5,8,1,10,6,9,1,18,3,10,23,4,1,19,5,4,44,19,7,4,2,10,17,8,3,10,93,4,2,10,2,9,2,8,1,10,6,4,2,19,6,4,7,19,4,4,312,},
{4,706,19,3,4,13,19,12,4,4,8,7,18,1,8,3,18,1,8,1,10,10,18,1,3,2,18,1,4,2,18,1,3,4,16,2,3,1,4,4,19,3,4,1,3,3,16,5,3,3,18,1,10,3,3,2,16,2,3,5,18,5,8,1,10,2,18,1,10,69,8,1,10,14,8,2,10,1,8,2,10,1,8,4,10,6,18,3,10,5,18,1,10,3,18,1,8,1,10,2,18,1,10,1,18,1,8,1,10,2,18,1,3,3,10,1,18,1,10,22,8,2,10,4,8,1,18,1,3,1,18,1,8,2,3,3,18,1,10,4,18,2,10,5,18,2,8,1,10,2,8,1,18,3,10,34,8,1,10,33,8,2,10,8,8,14,10,3,8,3,18,1,14,4,18,2,8,3,10,11,8,1,10,1,8,46,18,3,8,9,18,1,8,2,10,7,8,3,10,19,8,2,18,3,8,1,18,1,14,2,18,1,8,2,10,41,8,2,10,5,8,8,10,1,8,5,10,12,18,4,8,1,10,12,8,4,10,56,8,2,10,11,8,3,10,2,8,3,10,3,8,10,10,4,8,4,10,34,8,4,10,34,8,3,10,2,8,2,10,1,8,3,10,81,4,2,19,6,4,12,10,30,18,2,10,6,18,2,10,250,18,1,4,3,19,4,4,72,19,6,4,2,10,30,8,1,10,3,4,2,19,13,4,15,10,325,18,2,10,61,8,9,10,1,8,3,18,2,10,3,8,1,10,7,18,1,10,25,4,1,19,5,4,44,19,7,4,1,10,19,8,2,10,93,18,1,10,4,8,1,10,6,4,3,19,6,4,7,19,5,4,311,},
{4,712,18,2,10,2,4,7,19,11,4,4,10,7,8,2,18,2,8,2,10,1,8,1,10,9,18,1,3,1,18,4,3,2,18,1,3,1,16,2,3,1,4,3,19,4,18,1,3,1,16,9,3,1,18,1,4,3,18,1,3,1,16,2,3,4,18,1,10,1,9,1,18,2,10,40,8,1,10,5,8,2,10,6,8,1,10,35,18,2,10,5,8,2,10,6,18,2,10,10,18,1,8,1,10,6,18,1,10,1,8,1,18,1,3,1,18,1,10,4,18,1,10,18,8,1,18,2,8,1,10,5,18,2,10,1,18,1,3,3,18,1,10,4,18,3,8,1,10,3,18,2,9,1,10,2,8,1,18,3,8,1,10,65,8,4,10,7,8,7,10,3,8,7,10,1,8,4,18,1,14,1,18,2,8,3,10,6,8,1,10,5,8,2,10,3,8,44,18,3,8,3,18,1,8,8,10,5,8,1,10,23,8,1,18,6,14,1,18,1,8,1,10,23,8,2,10,24,8,8,18,1,8,4,10,3,8,4,10,7,18,3,8,1,10,14,8,3,10,4,8,2,10,50,18,1,9,1,8,1,10,2,8,2,10,8,8,1,10,6,8,2,10,2,8,8,10,4,8,5,10,34,8,1,18,2,10,34,8,3,10,1,8,2,10,2,8,3,10,61,18,4,10,2,18,2,10,12,4,2,19,6,4,12,10,5,18,1,10,285,18,1,4,3,19,3,4,72,19,6,4,2,10,34,4,4,19,2,4,1,19,3,4,1,19,3,4,16,10,43,18,1,10,118,8,1,10,4,8,1,10,204,18,1,10,18,8,6,10,3,8,1,18,1,8,1,10,2,18,1,10,4,18,3,10,27,4,1,19,5,4,44,19,7,4,1,10,2,8,4,10,14,8,1,10,93,18,2,10,10,4,3,19,6,4,7,19,5,4,311,},
{4,707,18,1,4,3,10,7,4,5,19,10,4,5,10,7,8,2,18,2,8,2,10,1,8,1,10,4,18,1,10,5,18,4,10,1,18,1,10,2,18,1,16,2,3,1,18,1,4,2,19,4,3,1,16,10,3,2,18,1,4,3,3,1,16,2,3,1,18,1,3,2,18,1,10,6,18,1,10,36,8,4,10,2,8,3,10,5,8,3,10,34,18,2,10,5,8,2,10,7,18,1,10,6,8,1,10,14,18,1,3,1,18,1,8,1,10,3,18,1,10,19,18,3,10,5,18,2,8,1,18,1,3,2,18,1,10,5,8,1,18,1,14,1,18,1,10,3,18,2,8,1,10,3,18,3,8,1,10,22,18,1,10,19,8,1,10,15,8,2,10,5,8,3,10,7,8,8,10,4,8,11,18,3,8,4,10,5,8,3,10,4,8,1,10,3,8,1,18,3,8,49,18,2,8,5,10,3,8,3,10,23,8,1,18,8,8,1,10,47,8,8,18,1,8,1,18,2,8,11,10,6,18,3,10,15,8,3,10,4,8,2,10,48,18,1,10,1,18,1,9,1,8,1,10,1,8,3,10,15,8,2,10,4,8,7,10,4,8,4,10,28,8,1,10,5,8,1,18,2,10,33,8,4,10,1,8,2,10,1,8,4,10,1,8,2,10,43,18,1,10,13,18,5,10,2,18,2,10,12,4,19,10,293,4,4,19,2,4,72,19,6,4,2,10,35,4,29,10,162,8,1,10,4,8,1,10,5,8,1,10,198,18,1,10,18,8,6,10,4,8,2,18,2,10,5,18,3,10,26,4,2,19,5,4,44,19,7,4,2,18,2,8,1,18,1,8,1,10,109,18,1,10,10,4,2,19,6,4,8,19,5,4,311,},
{4,706,18,1,9,1,10,13,18,1,4,1,19,7,4,10,10,5,8,3,18,1,10,1,8,4,10,9,18,2,10,6,18,1,3,1,16,1,3,1,18,1,4,2,19,2,4,1,3,2,16,8,3,2,16,2,3,1,4,3,3,1,16,2,18,2,3,3,18,1,9,1,10,5,9,1,8,1,10,33,8,4,10,12,8,3,10,35,8,1,10,4,8,2,10,7,8,1,10,7,8,1,10,4,18,1,10,8,18,1,3,2,8,1,10,9,18,1,10,7,18,1,10,5,8,3,10,4,18,1,3,2,18,1,8,1,18,2,10,7,8,1,18,2,10,3,18,1,14,2,18,1,10,3,9,1,8,2,10,22,18,1,10,18,8,2,10,15,8,2,10,14,8,9,10,3,8,13,18,1,8,13,10,7,8,1,18,1,14,2,18,1,8,62,10,23,8,9,10,48,8,10,18,3,8,5,18,3,8,3,10,5,18,3,10,15,8,3,10,56,9,2,10,3,8,1,10,11,8,1,10,10,8,8,10,5,8,2,10,34,8,1,18,1,8,1,10,33,8,4,10,1,8,2,10,2,8,6,10,58,18,1,9,1,18,2,10,18,4,6,10,305,18,1,4,76,19,6,4,2,10,58,4,6,10,162,8,1,10,3,8,3,10,4,8,1,10,11,8,2,10,201,8,8,10,7,8,1,10,35,4,2,19,5,4,44,19,7,4,3,10,2,8,1,10,109,18,2,10,10,4,1,19,7,4,9,19,4,4,311,},
{4,706,18,1,8,1,10,12,8,1,9,1,4,1,19,6,4,11,10,3,8,11,18,1,8,1,10,5,18,1,10,9,3,2,16,1,3,2,4,4,18,1,3,4,16,6,3,1,16,3,3,1,4,2,18,1,3,3,9,2,3,3,18,1,10,2,18,2,10,2,18,1,8,1,10,33,8,3,10,14,8,1,10,41,8,2,10,11,8,2,10,2,8,1,10,3,18,2,10,7,8,1,3,3,18,1,10,2,18,1,10,5,18,1,10,4,18,2,10,10,8,1,10,3,8,1,3,1,16,2,3,1,18,2,8,1,10,8,8,1,18,1,10,3,18,1,14,2,18,1,10,4,8,3,10,21,18,2,10,14,8,5,10,14,8,4,10,12,8,40,10,6,8,1,18,1,3,3,14,1,8,1,10,1,8,62,10,23,8,2,10,54,8,9,18,4,8,1,18,7,8,2,10,4,8,1,18,2,9,1,10,14,8,3,10,73,8,2,10,10,8,2,10,2,8,1,18,1,8,2,10,41,8,2,10,35,8,2,10,2,8,2,10,2,8,5,10,58,18,4,10,331,4,76,19,6,4,2,10,58,4,6,10,166,8,3,10,4,8,1,10,119,18,1,10,19,8,1,10,11,18,1,10,62,8,7,10,43,4,2,19,6,4,45,19,7,4,2,10,40,8,1,10,71,8,2,10,10,4,1,19,7,4,11,19,1,4,312,},
{4,706,18,1,8,1,10,12,8,2,4,18,10,2,8,10,10,1,8,1,18,1,9,1,18,2,10,2,18,3,10,6,18,1,3,3,16,2,3,1,18,1,4,4,3,1,18,1,3,2,16,10,3,1,4,2,18,1,16,1,3,2,10,2,18,1,3,1,18,1,9,1,10,2,18,2,10,9,18,1,10,40,8,2,10,45,8,1,10,2,8,3,10,5,8,6,10,13,3,3,18,1,10,2,18,1,10,4,18,2,10,4,8,1,18,1,8,1,10,8,8,1,18,2,10,2,8,1,3,2,16,1,3,1,18,3,8,1,10,7,8,2,10,3,18,1,14,2,18,1,10,4,8,4,10,21,18,3,10,12,8,3,10,17,8,1,10,14,8,38,10,7,8,2,14,1,3,1,16,1,3,1,14,1,8,1,10,1,8,48,18,1,8,5,18,2,8,8,10,77,8,9,18,12,8,2,10,4,8,1,18,3,10,14,8,3,10,74,8,1,10,10,8,2,10,2,8,4,10,8,8,3,10,67,8,2,10,7,8,3,10,29,18,1,10,30,18,2,10,16,18,4,10,57,18,2,10,253,4,5,19,3,4,69,19,5,4,2,10,230,8,3,10,4,8,1,10,139,8,2,10,74,8,5,10,14,18,1,10,29,4,2,19,6,4,46,19,6,4,2,10,14,8,3,10,21,8,3,10,70,8,3,10,9,4,2,19,6,4,325,},
{4,706,18,1,8,1,10,12,8,2,10,1,4,19,9,1,10,1,9,1,8,2,10,3,8,2,10,2,18,1,10,1,18,2,10,2,18,2,10,7,18,1,3,1,16,1,3,1,16,2,3,2,4,6,18,1,3,1,16,3,3,2,16,5,18,1,4,2,18,1,3,2,18,1,10,8,18,1,10,50,8,1,18,2,10,48,8,3,10,5,8,6,10,13,18,1,3,1,16,1,3,1,18,1,10,1,18,1,10,3,18,3,10,4,18,3,10,5,8,2,10,1,8,1,18,2,8,1,10,1,8,1,18,1,3,3,14,2,18,2,8,1,9,1,10,5,18,2,10,3,8,1,18,1,15,1,18,1,10,3,8,1,18,2,8,4,10,10,18,1,10,10,18,1,10,12,8,2,10,32,8,36,10,10,8,2,14,1,3,3,18,1,8,1,10,1,8,4,10,2,8,39,18,12,8,9,10,50,8,3,10,22,8,10,10,5,18,5,8,2,10,5,8,4,10,91,8,1,10,10,8,2,10,3,8,2,10,9,8,3,10,17,8,2,10,40,8,3,10,7,8,2,10,6,8,2,10,77,18,5,10,13,8,2,10,13,18,2,10,25,8,1,10,1,18,2,10,253,18,1,4,3,19,4,4,69,19,5,4,3,10,230,8,1,10,145,8,2,10,74,8,3,10,1,8,1,10,4,8,3,10,7,18,2,10,28,4,2,19,6,4,46,19,6,4,2,10,13,8,5,10,8,8,2,10,11,8,1,10,71,8,2,10,11,4,1,19,6,4,325,},
{4,707,10,1,18,1,10,5,8,2,10,5,8,2,4,4,19,4,4,7,19,1,4,6,10,5,8,1,10,3,18,1,10,1,18,2,10,11,18,1,3,1,16,1,3,4,4,7,18,1,3,1,16,2,3,1,4,2,3,1,16,4,18,1,4,4,18,1,10,15,18,1,10,44,8,1,18,2,10,55,8,6,10,3,18,2,10,9,18,1,3,1,16,2,3,1,10,6,18,1,10,5,3,2,18,1,10,6,8,2,18,1,14,1,18,2,10,2,8,1,18,1,14,1,18,4,8,1,10,6,18,1,14,1,18,1,10,4,18,3,9,1,10,2,18,7,10,10,18,1,10,48,8,3,10,6,8,35,10,11,8,2,18,1,3,2,14,1,8,2,10,1,8,5,10,1,8,32,18,19,8,10,10,5,8,2,10,15,8,1,10,1,8,1,10,24,8,2,10,23,8,10,10,6,18,4,8,1,10,6,8,3,10,15,8,1,10,76,8,3,10,2,8,3,10,3,8,2,10,14,8,3,10,17,8,1,10,39,8,1,18,2,8,2,10,7,8,2,10,7,8,1,10,76,18,6,10,14,18,1,10,12,18,3,10,25,8,1,10,257,18,1,4,2,19,4,4,70,19,6,4,3,10,22,18,3,10,424,8,2,18,2,8,1,10,6,8,2,10,22,4,17,19,6,4,46,19,6,4,2,10,13,8,5,10,7,9,3,10,79,8,3,10,13,18,1,4,1,19,5,4,326,},
{4,711,10,2,8,3,10,6,8,2,4,2,19,6,4,6,19,6,4,2,10,4,8,2,10,1,9,1,18,2,10,3,8,1,10,9,18,1,3,3,18,3,4,7,3,1,16,3,3,1,4,2,18,1,3,4,18,1,4,4,10,4,18,1,10,10,18,2,10,2,8,1,10,10,8,2,10,30,8,1,18,1,8,4,10,43,8,1,10,7,8,7,10,2,18,2,10,9,8,1,3,1,16,2,3,1,18,1,10,10,18,1,3,2,18,1,10,8,18,4,8,1,10,2,18,5,10,8,18,1,3,1,14,1,9,1,10,3,18,1,14,1,18,2,8,2,18,8,10,58,8,36,10,1,8,7,10,8,8,5,18,4,8,1,10,2,8,38,18,18,8,20,10,5,8,3,10,2,8,1,10,54,8,10,10,6,18,3,8,2,10,6,8,1,10,94,8,9,10,18,8,3,10,56,8,1,18,2,8,2,10,7,8,2,10,86,18,4,10,15,18,1,10,12,18,3,10,19,18,2,10,1,18,1,8,1,10,259,18,1,4,2,19,4,4,70,19,8,4,2,10,21,18,2,10,425,8,1,18,2,8,1,18,1,8,1,10,5,8,2,10,21,4,18,19,6,4,46,19,6,4,2,10,14,8,3,10,7,8,1,9,1,18,2,10,94,8,1,10,1,4,1,19,5,4,326,},
{4,712,10,1,8,3,10,6,8,1,9,1,4,3,19,5,4,6,19,6,4,2,8,7,9,1,18,2,10,2,8,2,10,7,18,2,3,3,18,1,10,3,4,6,18,1,3,1,16,3,3,1,18,4,4,1,18,2,10,6,18,1,3,4,18,1,10,9,18,1,10,46,8,1,18,4,8,1,10,42,8,1,10,7,8,7,10,8,8,2,10,2,18,1,10,1,14,1,3,3,14,1,10,7,18,1,10,2,3,1,16,2,18,1,10,1,18,1,10,6,8,1,18,4,8,2,18,3,8,1,10,9,18,1,3,2,18,1,10,3,18,1,3,2,14,1,18,7,14,2,18,1,10,58,8,36,10,1,8,7,10,7,8,11,10,1,8,40,18,1,8,3,18,11,8,24,10,1,8,9,10,54,8,9,10,7,18,3,8,2,10,100,8,1,18,1,8,1,18,3,8,2,10,18,8,5,10,55,18,2,8,1,10,9,8,1,10,119,18,1,10,1,18,1,10,19,18,4,8,1,10,260,4,4,19,2,4,70,19,8,4,2,10,448,8,1,18,2,8,2,18,1,8,1,10,27,4,6,19,4,4,8,19,6,4,46,19,6,4,2,10,21,8,1,10,1,8,2,18,3,10,2,8,2,10,90,8,1,10,1,4,1,19,5,4,326,},
{4,712,9,1,8,3,10,2,8,1,10,3,8,2,4,3,19,5,4,6,19,6,4,3,9,1,8,5,9,1,18,2,9,1,8,5,10,5,18,2,3,2,18,1,8,1,10,1,18,2,4,6,18,1,3,1,16,3,3,2,18,1,4,4,10,7,3,2,16,2,3,1,18,1,10,1,18,2,10,2,18,1,10,3,18,1,10,47,18,4,8,1,10,42,8,1,10,7,8,8,10,6,8,1,18,1,8,1,10,4,18,1,3,4,18,1,10,8,18,1,3,1,16,1,3,1,8,1,10,1,18,1,10,8,8,4,18,1,14,1,18,1,8,1,10,5,18,2,10,4,18,3,10,3,18,1,3,4,18,2,8,1,18,4,14,1,18,1,8,1,10,58,8,8,10,2,8,34,10,6,8,5,10,2,8,50,18,11,8,17,18,3,8,6,18,2,8,3,18,2,8,1,10,46,8,1,10,7,8,8,10,10,8,2,10,4,8,2,10,95,18,1,10,1,18,4,10,20,8,8,10,54,8,3,10,14,8,1,10,61,18,2,10,48,18,3,10,18,18,4,8,1,10,261,4,4,19,2,4,70,19,8,4,2,10,448,8,2,18,1,8,2,18,1,8,1,10,26,4,4,19,7,4,9,19,4,4,47,19,6,4,2,10,5,8,2,10,14,8,3,18,3,9,1,10,2,8,2,10,3,8,6,10,81,8,1,9,1,4,1,19,5,4,12,10,1,4,313,},
{4,712,18,1,10,1,8,1,10,1,8,9,4,2,19,5,4,6,19,6,4,3,18,1,9,1,8,8,10,1,8,2,10,1,8,1,10,5,18,1,3,3,18,1,10,8,18,3,3,1,16,3,3,2,18,1,4,4,10,4,18,3,3,1,16,3,3,1,4,2,18,3,10,1,18,2,10,1,18,1,10,48,18,3,8,1,10,51,8,9,10,5,8,2,10,5,18,7,10,6,18,1,3,4,10,2,18,1,10,12,8,1,14,1,18,1,10,5,8,1,3,2,18,1,10,3,9,1,18,2,8,1,10,1,9,1,15,1,3,1,14,2,3,1,14,1,18,1,8,2,18,5,8,1,10,36,8,3,10,20,8,7,10,3,8,4,10,3,8,27,10,5,8,5,10,2,8,50,18,14,8,15,18,3,8,4,18,3,8,3,18,2,8,4,10,43,8,2,10,7,8,7,10,16,8,1,10,96,18,1,8,1,18,1,8,4,10,4,8,4,10,12,8,8,10,50,8,1,18,1,3,2,14,1,18,1,8,1,10,3,8,2,10,3,8,1,18,2,8,1,10,1,8,1,10,132,18,1,8,1,18,1,8,2,10,262,4,3,19,3,4,69,19,8,4,2,10,353,18,1,10,16,8,1,18,2,10,48,18,1,10,7,18,2,10,19,8,1,18,1,8,1,18,1,8,2,10,24,4,4,19,8,4,60,19,5,4,3,10,4,8,7,10,12,8,2,9,3,10,3,8,1,10,4,8,6,10,80,8,1,9,1,4,1,19,5,4,10,18,1,10,2,4,313,},
{4,713,18,1,9,1,8,10,10,1,4,2,19,4,4,7,19,5,4,4,9,1,8,7,18,2,8,2,10,7,18,1,3,2,18,1,10,5,18,2,10,2,18,1,3,3,16,3,3,2,4,5,10,2,9,1,3,5,16,3,3,1,4,2,18,1,3,1,18,4,10,1,18,1,10,48,18,2,8,1,10,45,8,1,10,6,8,9,10,10,8,1,18,3,8,1,18,4,10,1,18,2,10,1,8,1,18,1,3,4,18,1,10,16,18,2,10,4,8,1,18,1,3,2,18,1,10,5,9,1,18,3,15,1,14,3,3,2,18,1,8,2,9,1,8,2,18,1,8,2,10,36,8,3,10,21,8,6,10,4,8,2,10,5,8,27,10,4,8,5,10,2,8,8,10,1,8,33,18,2,8,5,18,17,8,13,18,5,8,1,18,4,8,3,18,3,8,1,18,1,8,1,10,23,8,3,10,17,8,4,10,6,8,6,10,16,8,3,10,94,18,1,10,1,18,1,8,1,10,7,9,1,10,1,9,1,8,1,10,13,8,7,10,49,18,1,3,5,14,1,8,1,10,2,8,3,10,3,18,3,8,1,10,1,8,1,10,39,8,3,10,90,8,4,10,261,8,1,10,2,18,1,4,1,19,3,4,69,19,8,4,2,10,224,8,2,10,127,18,1,10,18,18,1,10,47,18,2,10,7,18,3,10,19,8,1,18,2,8,2,10,23,4,2,19,11,4,60,19,5,4,2,18,2,10,4,8,7,10,24,8,5,10,81,8,1,9,1,4,1,19,5,4,10,10,3,4,313,},
{4,714,9,1,8,10,10,1,4,22,9,1,8,7,18,4,8,1,10,7,18,2,10,5,18,3,10,2,3,4,16,2,3,2,18,1,4,5,18,2,3,1,16,3,3,3,16,2,3,1,4,2,18,1,3,2,18,1,3,1,18,1,10,2,18,1,10,2,8,1,18,4,10,40,8,2,10,47,8,2,10,4,8,9,10,5,18,1,10,4,18,1,3,1,18,7,4,3,10,1,8,1,3,4,18,1,10,1,18,1,10,15,8,2,10,3,18,2,3,3,18,1,10,6,18,2,14,1,18,3,3,3,14,1,18,1,9,1,10,1,9,4,10,53,8,1,10,7,8,5,10,13,8,17,10,1,8,10,10,2,8,48,18,3,8,3,18,20,8,7,18,1,8,4,18,4,8,9,18,2,8,4,10,23,8,3,10,17,8,5,10,6,8,5,10,16,8,1,18,1,8,1,10,88,8,1,10,6,18,1,10,10,18,2,8,1,10,14,8,5,10,12,8,2,10,35,8,1,18,1,3,1,16,3,3,1,14,1,18,1,10,2,18,2,8,1,10,2,8,1,18,3,8,1,10,36,8,1,10,4,8,3,10,32,18,1,10,57,8,3,10,265,4,2,19,4,4,69,19,8,4,1,10,195,8,1,10,28,8,2,10,194,18,1,10,7,18,4,10,20,8,1,10,2,8,2,10,22,4,2,19,10,4,61,19,4,4,2,18,1,3,1,18,1,10,6,8,1,10,2,8,2,10,25,8,4,10,81,8,1,9,1,4,1,19,5,4,10,10,3,4,313,},
{4,714,9,1,8,10,10,1,4,22,10,1,9,3,18,1,8,3,18,4,9,1,10,5,8,1,10,1,18,2,10,3,18,5,10,2,3,3,16,3,3,1,18,1,4,4,18,3,3,2,16,4,3,3,16,1,3,1,4,2,3,5,18,1,10,5,18,2,3,2,14,1,8,1,10,39,18,1,8,1,10,33,18,1,10,11,8,1,10,1,8,3,10,2,8,10,10,7,18,2,10,1,18,1,14,1,18,2,3,2,18,1,4,5,10,2,18,1,3,1,18,2,9,1,18,1,3,1,18,1,10,2,18,2,10,10,18,3,3,4,14,1,3,2,18,1,10,7,18,1,14,1,18,1,14,1,3,2,16,2,3,1,18,1,9,1,10,1,8,1,18,1,8,1,9,1,10,52,8,4,10,5,8,4,10,14,8,42,18,1,8,33,18,6,8,2,18,11,8,2,18,8,8,5,18,3,8,4,18,3,8,10,10,2,8,3,10,23,8,3,10,17,8,6,10,6,8,4,10,16,8,1,18,1,8,1,10,4,8,2,10,67,8,2,10,11,8,2,18,1,10,17,9,1,18,1,8,2,10,13,8,4,10,11,8,2,18,3,8,2,10,32,8,1,18,1,3,4,18,2,8,2,18,3,10,3,8,1,18,2,8,1,10,37,8,2,10,37,18,4,10,89,18,1,10,232,18,1,4,2,19,4,4,69,19,8,4,1,10,194,8,2,10,28,8,2,10,202,18,4,10,33,18,1,8,1,10,11,4,3,19,8,4,63,19,5,4,2,18,2,10,26,8,1,10,88,8,2,10,4,8,1,9,1,4,1,19,5,4,9,18,1,10,3,4,313,},
{4,709,19,3,4,2,9,1,8,7,10,4,4,22,10,1,18,3,8,5,10,1,18,2,9,1,10,5,8,1,10,1,18,2,10,3,18,1,10,6,18,1,3,1,16,3,3,1,18,1,10,6,18,3,3,1,16,9,3,3,16,1,3,2,18,2,10,6,18,1,3,3,18,1,8,1,10,37,8,1,18,2,10,28,18,1,10,3,18,2,10,13,8,1,10,4,8,10,10,5,18,1,10,2,9,1,10,1,18,2,10,1,8,1,3,2,18,1,4,5,10,6,18,1,3,3,18,1,10,1,18,1,10,9,8,1,18,2,3,1,16,4,3,1,18,1,14,1,18,2,10,7,9,1,18,2,3,1,16,4,3,1,14,1,8,1,9,1,18,3,9,1,10,45,8,2,10,5,8,4,10,5,8,3,10,15,8,42,18,2,8,31,18,6,8,3,18,10,8,12,18,13,8,10,10,4,8,2,10,43,8,6,10,6,8,4,10,16,8,3,10,4,8,2,10,3,8,1,10,63,8,2,10,11,8,1,18,2,10,19,8,2,10,5,8,2,10,6,8,4,10,3,8,3,10,4,8,2,18,5,8,2,10,32,18,1,3,2,14,1,18,1,8,1,10,1,8,1,18,1,3,1,18,1,8,1,10,3,8,2,10,24,18,1,10,8,18,3,10,4,8,1,10,16,18,2,8,1,10,11,4,10,18,1,10,89,18,2,10,165,8,2,10,63,8,1,18,1,4,1,19,4,4,71,19,7,4,2,10,192,8,4,10,27,8,2,10,202,18,3,10,35,8,1,10,4,4,8,19,9,4,64,19,5,4,2,18,2,10,21,8,3,10,2,8,1,10,45,8,2,10,41,8,2,10,4,8,1,10,1,4,1,19,5,4,2,19,3,4,3,18,1,8,1,10,3,4,313,},
{4,708,19,4,4,2,9,1,8,7,10,4,4,22,9,2,18,1,9,1,8,5,10,1,18,2,10,8,18,3,10,10,3,1,16,3,3,1,18,1,10,8,18,1,3,2,16,11,3,3,18,2,10,6,8,1,18,2,14,1,18,1,8,2,10,36,8,1,18,2,10,28,18,2,10,3,18,2,10,8,8,1,10,1,8,1,10,1,8,1,10,3,8,11,10,5,18,1,10,2,18,1,10,5,14,1,3,1,18,1,4,5,10,6,3,4,8,1,10,10,18,1,3,4,16,4,3,1,8,1,18,5,10,6,9,1,18,1,3,1,16,4,3,1,14,1,18,2,14,2,18,1,10,21,18,2,10,30,8,4,10,5,8,3,10,15,8,32,18,1,8,10,18,1,8,33,18,4,8,3,18,9,8,13,18,13,8,8,18,1,8,1,10,21,8,2,10,5,8,1,10,1,8,1,10,20,8,4,10,6,8,1,10,1,8,2,10,6,8,1,10,10,8,2,10,8,8,4,10,74,8,1,18,2,8,1,10,24,8,4,10,11,8,4,10,4,8,1,18,7,8,1,10,2,8,2,10,14,8,1,10,13,8,3,10,4,18,1,14,1,3,1,18,1,10,7,8,1,10,21,18,3,10,4,18,7,10,20,18,1,10,1,18,1,10,11,4,10,18,1,10,5,18,2,10,314,18,2,4,1,19,4,4,72,19,6,4,2,10,192,8,4,10,27,8,2,10,131,18,2,10,110,4,6,19,13,4,64,19,6,4,2,10,22,8,2,18,1,10,2,8,1,10,17,8,2,10,26,8,2,10,31,8,3,10,7,8,2,10,3,8,2,10,1,4,1,19,5,4,2,19,4,4,2,18,1,8,2,10,2,4,313,},
{4,706,19,5,4,3,9,1,8,3,10,1,8,4,10,3,4,22,10,2,8,7,10,11,18,2,10,5,18,2,10,4,18,1,3,1,16,2,3,1,18,3,4,5,10,1,18,1,3,2,16,9,3,4,18,1,4,4,10,5,18,2,8,1,10,39,8,1,18,2,8,1,10,27,18,1,10,13,8,4,10,1,8,5,18,4,8,6,10,3,18,1,10,2,18,3,10,7,4,6,10,5,18,1,3,3,18,1,10,10,18,1,3,7,16,1,3,1,18,1,10,1,18,1,14,1,3,1,18,1,9,1,10,3,18,2,10,2,9,1,14,1,16,3,3,1,14,1,15,1,14,3,18,1,9,1,10,3,18,2,10,13,18,6,10,30,8,1,10,9,8,1,10,15,8,78,18,3,8,5,18,2,15,1,18,5,8,1,18,1,8,14,18,3,15,4,18,2,8,15,10,22,8,3,10,5,8,3,10,15,8,2,10,9,8,4,10,25,18,1,10,31,8,2,10,42,8,1,18,3,8,1,10,19,8,2,10,3,8,2,10,3,8,2,10,7,8,2,10,7,8,2,18,5,8,1,10,3,18,3,10,12,8,2,10,19,18,1,3,1,18,2,8,1,10,34,18,9,10,20,18,2,10,12,4,3,19,5,4,2,10,10,18,3,10,35,18,1,10,273,18,2,4,2,19,4,4,72,19,6,4,2,10,14,8,2,10,177,8,1,10,127,18,2,10,6,18,2,10,52,8,1,10,3,18,1,10,51,8,1,10,26,4,5,19,7,4,72,19,6,4,2,10,11,8,1,10,10,8,1,18,2,10,7,8,2,10,12,8,2,10,72,8,3,9,1,4,1,19,12,4,1,18,1,8,1,18,1,10,2,4,4,19,1,4,1,19,3,4,6,19,4,4,294,},
{4,706,19,6,4,2,10,2,8,1,10,3,8,4,10,7,4,3,10,1,18,1,4,5,18,1,4,6,10,5,8,2,10,8,18,1,10,7,8,5,10,1,18,1,10,4,3,1,16,2,3,2,18,2,4,6,18,1,3,1,16,10,3,3,18,1,4,5,10,46,8,1,18,3,8,1,10,26,18,1,10,3,8,16,18,1,8,1,18,1,8,1,10,1,18,2,8,1,10,2,8,3,10,1,8,1,10,2,8,3,9,1,18,3,9,1,10,3,8,2,10,1,4,6,18,2,10,1,8,1,18,1,3,3,18,1,10,11,3,5,18,3,3,2,9,1,10,1,18,4,10,3,9,1,14,2,9,1,10,2,8,1,3,3,14,2,15,1,14,3,15,1,9,1,10,3,14,1,18,1,10,13,18,5,10,3,18,3,10,50,8,60,18,1,8,18,18,3,8,5,18,3,8,4,18,1,15,2,18,1,8,5,18,2,8,7,18,5,15,1,18,3,8,1,18,5,8,5,18,2,8,1,10,6,8,1,10,15,8,3,10,3,8,6,10,13,8,4,10,9,8,2,10,10,8,1,10,14,18,3,10,29,8,2,10,36,8,3,10,3,8,2,15,1,14,1,18,1,8,1,10,18,8,1,18,2,10,2,8,2,10,11,8,5,10,8,8,2,18,2,8,1,10,3,8,1,18,1,3,1,18,1,10,1,8,2,10,4,8,1,10,4,8,2,10,16,8,1,10,2,18,1,3,1,18,1,8,1,10,35,18,8,10,29,18,2,10,4,4,2,19,6,4,2,10,9,8,2,18,1,10,35,18,4,10,271,18,2,4,2,19,4,4,73,19,6,4,1,18,1,10,12,8,3,10,13,8,3,10,14,8,2,10,206,8,2,10,65,18,3,10,5,18,2,10,51,8,8,10,4,8,1,10,1,8,1,10,40,8,1,10,1,8,1,10,25,4,3,19,10,4,72,19,6,4,2,10,10,8,3,10,10,18,1,10,9,8,1,10,12,8,1,10,73,8,3,10,1,4,4,19,9,4,2,18,2,10,1,4,4,19,6,4,5,19,5,4,294,},
{4,706,19,7,4,1,10,6,8,3,10,11,8,3,9,10,10,3,8,2,10,3,8,1,10,14,8,3,10,3,18,1,10,5,3,1,16,3,3,2,18,1,4,5,18,1,3,2,16,10,3,3,18,1,4,5,10,45,8,1,18,3,8,1,10,31,8,4,18,4,8,10,18,2,8,5,10,1,8,2,10,1,18,1,8,1,10,2,8,3,9,1,18,3,10,5,8,1,10,3,18,1,10,3,18,2,10,2,18,1,3,1,16,1,3,2,8,1,10,2,18,1,10,1,18,1,10,4,18,1,3,3,18,1,10,4,18,2,10,3,9,1,10,6,15,1,14,1,18,1,10,3,8,1,14,1,3,3,14,1,18,1,15,1,3,1,14,1,8,1,10,2,8,1,14,1,18,1,8,1,10,3,9,2,10,16,18,2,10,1,8,1,10,48,8,80,18,2,8,5,18,3,8,5,15,2,8,20,18,10,8,5,18,1,8,2,10,5,8,2,10,15,8,3,10,3,8,6,10,13,8,4,10,9,8,3,10,9,8,1,10,15,18,2,10,59,8,2,10,6,8,3,10,3,8,2,18,3,8,1,10,19,8,2,10,2,8,2,10,10,8,1,18,4,8,1,10,9,8,2,10,5,18,3,8,1,10,1,8,2,10,9,8,1,10,20,18,1,3,1,18,1,8,1,10,38,9,1,18,2,10,37,4,2,19,6,4,2,10,25,18,3,10,1,18,1,10,16,18,5,10,271,18,2,4,2,19,5,4,73,19,5,4,1,10,13,8,3,10,30,8,2,10,33,8,1,10,240,18,1,10,60,8,7,10,51,8,4,10,18,4,3,19,12,4,72,19,6,4,2,10,2,18,1,8,1,10,6,8,3,10,25,8,2,10,85,4,3,19,9,4,2,18,2,10,1,4,4,19,6,4,2,10,1,4,2,19,5,4,294,},
{4,706,19,7,4,2,10,5,8,4,10,8,8,15,10,2,8,3,10,2,8,4,10,1,8,1,10,9,8,1,18,1,8,1,10,2,18,1,10,1,18,1,10,4,18,1,3,1,16,3,3,2,18,1,4,5,3,4,16,8,3,5,18,1,4,4,10,44,8,1,18,3,8,1,10,32,8,3,18,5,8,6,18,1,8,3,18,1,8,12,10,2,8,4,18,3,10,5,8,1,10,3,18,2,10,2,18,1,3,1,18,2,3,2,16,2,3,1,18,1,10,3,18,2,10,3,18,2,3,2,18,1,10,1,18,1,10,1,18,2,10,2,9,1,18,1,9,1,10,7,14,1,3,1,18,1,9,1,10,3,18,1,14,1,3,1,14,2,18,1,15,1,3,1,14,1,8,1,9,1,8,1,18,1,14,2,8,1,10,3,8,1,9,1,10,61,8,2,10,4,8,81,18,1,8,7,18,2,8,4,18,1,15,2,18,1,8,4,18,3,8,14,18,8,8,16,10,16,8,10,10,12,8,6,10,9,8,2,10,9,8,1,10,15,18,2,10,60,8,1,10,13,8,2,18,1,8,1,10,25,8,1,10,10,8,1,18,1,14,2,18,1,8,1,10,9,8,1,10,5,18,3,8,1,10,34,18,3,8,1,10,78,4,2,19,6,4,2,10,25,18,8,10,13,18,5,10,272,18,1,4,2,19,6,4,72,19,5,4,1,10,12,8,2,10,33,8,2,10,31,8,3,10,190,18,2,10,110,8,5,10,50,8,5,10,17,4,2,19,13,4,73,19,6,4,3,18,3,8,1,10,6,8,1,10,3,8,3,10,8,8,2,10,9,8,5,10,84,4,2,19,8,4,2,18,1,10,1,8,1,10,1,4,5,19,5,4,2,10,1,18,1,4,1,19,5,4,294,},
{4,706,19,7,4,1,10,5,8,6,10,6,8,16,10,2,8,12,18,1,10,6,8,1,18,1,8,2,10,1,18,2,10,4,18,1,10,1,18,1,3,4,18,2,4,6,18,3,3,1,16,7,3,2,18,1,3,5,4,3,10,5,8,2,10,5,8,1,18,1,8,2,18,1,8,1,10,26,8,1,18,1,14,1,18,1,8,1,10,32,8,3,18,5,8,7,18,3,8,8,10,7,8,2,10,2,8,2,10,6,8,1,10,7,18,1,3,4,16,2,3,3,8,1,10,6,8,1,18,1,3,3,18,1,10,1,18,1,10,1,3,1,16,1,18,1,10,1,18,1,3,1,18,1,9,1,10,2,9,2,10,1,9,1,3,2,14,1,9,1,10,2,8,1,18,3,15,1,14,4,18,1,8,1,9,1,8,1,18,1,14,1,18,2,10,3,9,2,10,54,8,3,10,5,8,100,18,2,15,2,18,8,8,6,18,1,8,5,18,6,15,1,18,7,8,14,10,13,8,10,10,12,8,6,10,9,8,2,10,25,18,2,10,18,8,1,10,40,8,2,10,2,8,1,10,10,8,4,10,36,8,1,18,1,14,1,18,1,8,2,10,8,8,2,10,4,18,4,10,33,8,1,10,1,8,1,18,1,8,1,10,79,4,2,19,6,4,2,10,25,18,3,9,1,18,5,10,11,18,6,10,272,18,1,4,2,19,6,4,72,19,5,4,1,10,12,8,2,10,8,8,1,10,183,8,2,10,65,18,3,10,110,8,4,10,52,8,3,10,17,4,1,19,13,4,74,19,6,4,4,18,2,8,1,10,10,8,3,10,8,8,2,10,8,8,6,10,84,4,2,19,6,4,4,10,5,4,4,19,5,4,2,10,1,18,1,4,2,19,5,4,293,},
{4,707,19,6,4,1,18,1,10,1,8,2,10,1,8,7,10,4,8,7,10,1,8,9,10,3,8,11,10,7,18,2,8,2,10,1,18,2,10,4,18,3,3,3,18,1,10,2,4,6,10,3,3,1,16,7,3,1,18,2,3,2,16,1,3,2,18,1,4,2,10,4,18,4,10,4,18,1,14,2,18,3,8,1,10,25,8,1,18,3,10,33,8,3,18,4,8,11,10,2,8,6,10,19,8,1,10,7,8,1,3,2,16,3,3,4,18,1,10,6,8,1,18,1,3,2,18,1,10,2,18,2,16,2,3,1,18,1,3,3,18,1,10,2,18,2,10,1,9,1,3,2,14,1,8,1,10,2,14,2,18,1,8,1,18,1,14,3,8,1,10,1,8,3,18,2,14,1,18,1,8,1,10,56,8,8,10,2,8,98,18,1,8,1,18,2,15,2,18,3,7,4,18,2,8,3,18,3,8,5,18,6,15,4,18,4,8,3,18,5,8,8,10,11,8,10,10,12,8,6,10,9,8,2,10,34,8,1,10,55,8,2,10,50,18,2,8,2,10,8,8,1,18,1,8,1,10,3,18,2,3,1,18,1,8,1,10,33,8,1,10,83,4,10,10,29,18,5,10,12,18,3,10,13,8,2,10,260,4,3,19,5,4,73,19,4,4,2,10,18,8,9,10,7,8,1,10,13,8,1,10,156,8,2,10,56,4,7,10,4,18,1,10,40,18,1,10,9,18,1,10,59,8,1,18,2,8,1,10,36,18,3,10,26,4,4,10,2,4,2,19,10,4,78,19,6,4,3,18,1,8,1,10,11,8,3,10,4,18,1,10,3,8,2,10,8,8,5,10,85,4,2,19,5,4,5,10,5,4,3,19,5,4,3,10,1,18,1,4,3,19,4,4,293,},
{4,708,19,6,4,1,10,1,8,11,10,2,8,6,10,4,8,9,10,4,8,8,10,8,8,3,10,7,18,4,3,4,10,2,18,2,10,6,18,1,3,1,16,6,3,1,18,2,3,2,16,2,3,2,18,1,10,2,18,5,3,2,18,1,10,4,8,1,18,1,14,2,18,4,8,1,10,24,8,1,18,2,10,35,8,7,10,4,8,2,10,6,8,5,10,28,3,2,16,3,3,1,18,1,3,2,8,1,10,3,18,2,10,2,18,3,10,4,3,1,16,2,3,1,18,1,3,1,16,1,3,1,18,1,10,2,18,2,10,1,9,1,3,3,18,1,10,2,14,1,3,1,14,1,18,1,15,1,14,2,18,1,10,2,18,1,15,1,8,2,18,1,14,2,8,1,10,56,8,8,10,3,8,99,18,1,15,4,14,3,7,1,15,2,18,3,8,2,18,4,8,3,18,3,8,3,18,1,15,2,14,3,15,1,18,2,8,3,18,4,8,2,18,3,8,4,10,11,8,10,10,11,8,8,10,8,8,1,10,92,8,1,10,46,8,1,10,3,8,2,10,4,8,2,10,4,18,2,8,1,10,2,8,1,18,1,3,2,18,1,10,1,8,2,10,31,8,1,10,6,8,1,10,2,8,3,10,73,4,5,10,65,8,3,10,259,18,2,4,1,19,5,4,79,10,17,8,10,10,7,8,2,10,5,8,2,10,5,8,1,10,157,8,1,10,34,18,1,10,18,4,12,10,2,18,3,10,2,4,7,10,28,18,3,10,7,18,4,10,57,8,2,18,2,10,22,18,2,10,11,18,4,10,16,4,18,19,9,4,80,19,6,4,2,10,13,8,3,10,1,18,1,10,3,18,1,10,2,8,2,10,8,8,3,10,72,8,2,10,13,4,12,10,5,4,2,19,5,4,2,10,3,18,2,4,2,19,5,4,292,},
{4,708,19,6,4,2,9,1,8,9,10,3,8,5,10,6,8,8,10,4,8,9,18,1,10,1,18,2,10,3,8,1,10,10,18,3,3,4,10,2,18,2,10,5,18,1,3,3,16,4,3,1,18,1,4,2,18,1,3,1,16,2,3,2,18,1,10,2,3,3,18,3,3,1,18,1,10,4,8,1,18,1,14,1,3,4,18,2,10,25,8,2,10,35,8,1,10,2,8,3,10,5,8,1,10,8,8,4,10,28,3,2,16,2,3,1,8,1,10,1,18,2,10,5,18,1,10,9,3,1,16,2,3,2,16,3,3,1,9,1,10,1,3,2,10,2,3,3,18,1,10,2,14,1,3,2,14,1,15,1,18,2,8,1,10,1,8,1,14,2,8,2,14,1,3,2,18,1,10,55,8,9,10,3,8,5,10,2,8,92,15,4,18,1,15,1,14,3,15,1,18,3,8,4,18,2,8,3,18,4,8,3,18,2,15,1,14,4,18,2,8,2,18,4,8,3,18,4,8,5,10,9,8,10,10,8,8,12,10,24,8,2,10,73,8,2,10,44,8,3,10,6,8,1,10,2,18,2,8,1,10,3,18,2,10,3,18,1,3,3,18,1,10,1,8,2,10,31,8,1,10,3,8,1,10,1,8,1,18,1,10,2,8,3,10,89,18,2,10,52,8,3,10,259,18,2,4,2,19,4,4,80,10,16,8,10,10,6,8,4,10,3,8,3,10,90,8,1,10,107,18,1,10,17,4,4,19,7,4,3,10,5,18,1,4,8,10,28,18,1,10,8,18,4,10,57,8,1,18,3,10,22,18,2,10,11,18,3,10,16,4,10,19,5,4,3,19,10,4,80,19,6,4,2,10,3,18,1,10,4,8,1,10,2,8,1,10,1,8,3,10,1,18,1,10,2,18,2,10,2,8,3,10,82,8,2,10,13,4,12,10,5,4,1,19,6,4,2,10,3,18,2,4,2,19,5,4,292,},
{4,708,19,6,4,2,8,10,10,4,8,4,10,6,8,9,10,4,8,10,18,2,10,10,18,1,10,6,18,1,3,2,18,1,10,2,18,2,10,2,4,3,18,1,3,3,16,3,3,1,4,5,3,5,18,1,10,1,18,1,3,1,16,1,3,1,18,4,10,5,8,1,18,1,14,1,3,4,14,1,18,1,10,25,8,2,10,36,8,1,10,1,8,3,10,5,8,1,10,9,8,1,10,5,8,1,10,3,8,3,10,17,18,1,3,5,10,9,18,1,10,9,3,1,16,2,3,1,16,4,3,1,18,2,3,2,10,2,18,1,3,2,18,1,10,2,14,1,3,3,18,1,8,3,14,1,3,2,14,1,18,2,14,1,3,2,18,1,8,1,10,55,8,8,10,3,8,5,10,2,8,81,18,1,8,10,18,1,15,3,18,8,8,10,18,6,8,1,18,1,15,2,14,4,18,1,8,4,18,3,8,3,18,3,8,7,10,8,8,1,10,1,8,8,10,8,8,13,10,22,8,4,10,72,8,3,10,51,8,2,10,1,8,1,18,1,3,1,18,1,8,1,10,2,8,2,10,3,18,4,8,1,10,1,8,2,10,31,8,1,10,3,8,1,10,1,18,2,10,2,8,3,10,144,8,1,10,260,8,1,18,1,4,2,19,8,4,14,19,6,4,56,10,17,8,1,10,3,8,5,10,6,8,4,10,3,8,3,10,90,8,2,10,124,4,1,19,11,4,2,10,5,4,9,10,37,18,4,10,56,8,2,18,1,8,1,18,2,10,21,18,2,10,11,18,3,10,16,4,10,19,17,4,81,19,6,4,2,10,1,18,3,10,5,8,1,10,4,8,1,10,2,18,1,10,2,9,1,18,1,10,2,8,1,18,1,10,5,8,1,10,75,8,4,10,13,4,12,10,5,4,1,19,5,4,3,10,4,4,4,19,4,4,292,},
{4,708,19,6,4,2,10,1,8,3,10,1,8,5,10,3,8,5,10,2,8,14,10,3,8,12,10,8,18,2,10,7,18,1,3,1,18,2,10,5,18,1,4,4,18,1,3,3,16,1,3,1,4,6,18,1,3,1,16,2,3,1,18,1,10,1,18,1,16,2,3,5,18,1,10,4,8,1,18,2,3,4,14,1,8,1,10,25,8,2,10,65,8,5,10,12,18,1,10,2,18,7,10,19,18,1,3,1,16,7,3,4,10,2,18,1,3,2,18,1,10,2,14,1,3,3,18,1,10,1,9,1,15,1,3,1,16,1,3,1,14,1,18,2,14,1,3,2,14,1,18,1,10,2,18,1,10,5,18,2,10,46,8,7,10,3,8,99,18,1,15,3,18,8,8,11,18,1,15,2,18,4,15,2,14,3,15,1,18,1,8,3,18,3,8,3,18,2,14,1,18,1,8,8,10,6,8,2,10,1,8,2,18,1,8,5,10,7,8,5,18,1,8,14,10,15,8,2,18,2,8,1,10,72,8,4,10,4,8,2,10,44,8,2,10,1,8,1,18,1,3,1,18,1,8,1,10,7,8,3,10,3,8,2,10,35,8,1,10,1,18,2,10,2,8,3,10,201,4,8,10,197,18,1,4,3,19,7,4,14,19,6,4,56,10,16,8,2,10,3,8,5,10,6,8,4,10,3,8,3,10,2,8,2,10,9,18,1,10,36,8,2,10,150,8,1,10,12,4,1,19,12,4,2,10,5,4,9,10,22,18,1,10,8,18,1,10,5,18,5,10,55,8,2,18,1,8,1,18,2,10,21,18,2,10,1,8,1,10,19,4,19,19,13,4,85,19,6,4,2,10,3,18,1,10,10,8,1,10,2,8,1,10,2,18,2,10,2,8,2,10,3,8,4,10,5,18,2,10,68,8,1,10,15,4,12,10,5,4,2,19,4,4,2,10,5,18,1,4,3,19,4,4,292,},
{4,708,19,7,4,2,10,1,8,2,10,2,8,4,10,3,8,5,10,2,8,29,10,4,8,1,10,1,18,3,10,5,9,1,18,1,10,1,3,2,18,1,10,7,4,5,18,1,3,1,16,1,3,1,18,1,4,7,18,1,16,2,3,1,18,1,10,1,18,1,16,7,3,1,18,1,10,4,8,2,18,1,3,3,18,1,8,1,10,24,8,1,18,1,8,1,10,10,8,1,10,54,8,5,10,12,18,1,10,2,18,1,3,1,18,1,10,6,18,2,10,16,3,1,16,10,3,1,10,2,18,1,3,2,18,1,9,1,8,1,14,1,3,2,18,1,10,2,8,1,14,1,3,1,16,1,3,1,14,7,18,1,10,2,18,1,10,54,8,6,10,3,8,99,18,1,15,3,18,8,8,12,15,3,18,3,15,5,18,1,8,3,18,5,8,1,18,5,8,6,18,1,8,2,10,4,8,6,18,2,8,5,10,5,8,24,10,12,8,1,18,4,10,72,8,4,10,4,8,2,10,24,8,2,10,22,8,1,18,2,10,16,8,2,10,33,8,1,10,1,18,2,10,84,4,17,10,103,4,12,10,195,8,1,18,1,4,3,19,6,4,14,19,6,4,3,19,4,4,43,19,4,4,4,10,14,8,10,10,6,8,3,10,5,8,2,10,50,8,1,10,164,4,2,19,11,4,2,10,6,4,8,10,30,18,2,10,5,18,5,10,5,18,2,10,49,8,1,18,4,10,37,4,26,19,10,4,88,19,7,4,1,10,1,18,3,10,15,8,1,18,2,10,2,8,2,10,2,8,5,10,75,8,1,10,15,4,9,10,8,4,2,19,4,4,2,10,6,18,1,4,2,19,5,4,291,},
{4,709,19,7,4,2,9,1,8,2,10,1,8,4,10,2,8,38,10,4,18,4,10,5,18,2,10,1,3,2,18,1,10,3,18,1,10,2,18,1,4,6,3,2,18,1,4,4,18,1,3,1,18,1,4,2,3,1,16,1,3,1,18,3,3,1,16,6,3,1,18,1,10,6,18,1,3,1,16,1,3,1,18,1,10,3,8,2,10,20,8,1,18,1,8,1,10,10,8,2,10,52,8,3,10,1,8,2,10,12,18,1,10,1,18,1,3,1,18,2,10,1,18,1,10,4,18,2,10,4,18,1,9,1,10,8,18,1,10,1,3,2,16,9,3,1,10,2,3,4,18,2,14,2,18,1,9,1,10,1,8,1,15,1,3,4,14,3,18,2,14,2,18,1,9,1,10,1,18,1,10,47,8,3,10,4,8,7,10,1,8,100,18,1,15,10,18,2,8,4,18,2,8,4,18,1,15,3,18,4,15,1,18,4,8,2,18,5,8,1,18,6,8,5,18,3,8,2,10,2,8,7,18,3,8,5,10,3,8,20,18,2,8,5,10,9,8,1,18,5,8,1,10,71,8,3,10,31,8,4,10,12,8,1,10,11,8,3,10,3,8,5,10,5,8,1,10,20,8,1,10,15,8,1,10,82,18,1,10,1,4,4,19,8,4,6,10,102,4,1,19,9,4,2,10,198,4,2,19,6,4,14,19,6,4,2,19,6,4,42,19,5,4,3,10,12,8,13,10,13,8,1,10,147,8,2,10,45,18,1,10,21,4,2,19,11,4,2,10,6,4,8,10,14,18,2,10,14,18,2,10,7,18,3,10,4,18,3,10,49,8,2,18,2,10,38,4,5,19,13,4,9,19,9,4,89,19,6,4,2,18,3,10,14,8,1,9,1,18,2,10,2,8,2,10,1,8,2,18,1,8,3,10,91,4,8,10,3,8,1,10,5,4,3,19,2,4,2,10,8,4,2,19,6,4,290,},
{4,710,19,6,4,2,9,1,8,50,10,1,18,3,10,9,3,2,18,1,10,6,18,1,3,1,18,1,4,10,3,4,4,2,3,1,16,1,3,4,18,1,3,2,16,4,3,1,18,1,10,6,8,1,3,1,16,1,3,1,14,1,8,1,10,1,8,3,10,20,8,1,18,1,8,1,10,10,8,2,10,42,18,3,10,7,8,2,10,14,18,2,10,1,8,1,18,3,10,2,18,1,10,3,18,1,10,5,9,1,18,2,10,8,18,1,10,1,18,1,3,7,16,3,3,1,10,2,3,1,16,3,3,1,18,1,14,1,18,1,8,1,9,1,18,1,14,3,8,1,18,1,14,1,3,2,14,1,18,1,8,1,18,3,8,1,10,1,18,1,10,46,8,105,18,3,8,7,18,3,15,2,14,7,15,1,18,5,15,2,18,1,8,3,18,1,15,2,18,3,8,1,18,11,8,3,18,5,8,6,18,3,8,10,18,4,8,5,10,3,8,20,18,2,8,5,10,8,8,2,18,1,8,1,18,3,8,2,10,30,8,3,10,38,8,1,10,26,8,2,10,4,8,4,10,20,8,6,10,3,8,6,10,24,8,1,18,2,8,1,10,9,8,2,10,88,4,4,19,8,4,6,10,102,4,1,19,9,4,2,10,198,4,4,19,4,4,14,19,6,4,2,19,6,4,42,19,6,4,2,10,11,8,16,10,159,8,2,10,43,18,1,10,1,18,1,10,21,4,1,19,12,4,2,10,6,4,8,10,14,18,3,10,11,18,3,10,9,18,2,10,4,18,3,10,26,18,2,10,22,8,3,10,38,4,4,19,14,4,10,19,8,4,89,19,6,4,2,18,3,10,5,8,1,10,7,8,2,18,3,10,3,8,1,10,1,8,1,18,2,8,3,10,49,8,2,10,40,4,9,10,2,9,1,10,5,4,7,10,8,4,3,19,5,4,290,},
{4,710,19,6,4,2,10,1,8,50,10,1,9,1,10,10,18,1,3,2,18,1,10,5,18,1,3,3,18,1,4,8,3,1,16,3,3,1,4,2,18,1,3,1,18,1,3,3,18,2,3,1,16,3,3,1,18,1,10,2,18,2,3,1,18,1,10,2,3,1,16,2,3,1,18,1,8,1,18,2,8,1,10,20,8,3,10,54,18,3,10,7,18,1,8,1,10,15,18,1,10,1,18,4,10,6,18,2,10,4,18,3,10,12,18,1,3,3,18,1,3,1,16,3,3,1,18,2,3,1,16,4,3,1,14,1,18,1,10,1,8,1,14,1,3,2,14,1,8,2,14,1,3,2,14,1,18,1,8,1,14,2,18,1,9,1,10,48,8,73,18,1,8,31,18,3,8,7,18,3,15,2,14,7,15,2,18,3,15,4,8,2,18,1,15,2,18,1,8,6,18,1,15,3,18,4,8,4,18,3,8,9,18,3,8,9,18,3,8,6,10,3,8,4,10,2,8,14,18,2,8,6,10,2,8,2,10,2,8,3,18,1,8,2,18,3,8,2,10,1,8,3,10,14,8,4,10,5,8,6,10,63,8,5,10,1,8,5,10,20,8,8,10,1,8,5,10,25,18,5,8,1,10,2,8,1,10,4,8,1,10,7,18,1,8,1,10,80,4,4,19,8,4,7,10,87,18,2,10,11,4,2,19,9,4,3,10,197,4,26,19,1,4,3,19,6,4,42,19,6,4,2,10,10,8,17,10,32,9,1,10,33,18,1,10,92,8,2,10,42,18,1,10,2,18,1,10,21,4,2,19,10,4,3,10,6,4,9,10,13,18,3,10,11,18,3,10,10,18,2,10,3,18,3,10,4,18,1,10,21,18,3,10,22,8,1,10,38,4,5,19,14,4,106,19,7,4,2,10,1,18,2,8,2,10,3,8,1,10,7,8,2,18,1,9,1,10,3,8,2,10,1,8,2,18,1,8,3,10,48,8,4,10,33,8,3,10,3,4,9,18,3,10,6,4,4,18,1,10,1,8,1,10,7,4,3,19,5,4,290,},
{4,710,19,7,4,2,10,1,8,26,10,3,8,19,10,13,18,3,3,1,18,1,10,1,18,1,10,2,18,1,3,1,16,2,3,1,18,1,4,5,18,1,3,1,16,4,3,1,4,5,3,5,16,4,3,1,9,1,10,1,9,1,3,1,16,2,3,1,10,2,3,1,16,2,3,2,18,3,8,1,10,21,8,1,10,46,8,1,10,2,8,1,10,5,18,2,10,7,8,1,18,2,10,17,18,1,3,1,18,1,8,1,10,3,8,1,10,2,18,1,10,4,18,2,3,2,9,1,10,7,18,2,10,2,18,1,3,3,18,2,3,1,16,3,3,2,16,5,3,1,14,1,8,1,9,1,18,1,3,3,14,2,15,1,18,1,14,1,3,2,18,2,3,2,18,1,10,12,18,3,10,35,8,16,10,4,8,84,18,4,8,7,18,2,15,1,14,1,15,1,14,6,15,2,18,3,15,9,18,1,8,6,15,1,14,5,18,2,8,5,18,1,8,5,18,1,8,6,18,1,8,10,18,1,8,7,10,3,8,4,10,2,8,9,18,2,8,11,10,2,8,2,10,1,8,3,18,1,8,4,18,3,8,2,18,2,8,1,10,5,8,1,10,8,8,1,18,2,8,13,10,3,8,1,10,8,18,1,10,49,8,11,10,22,8,11,10,3,8,3,10,4,8,1,10,5,8,1,10,8,8,1,18,1,3,2,18,2,8,1,10,15,18,1,8,1,10,78,4,3,19,1,4,1,19,14,4,5,10,4,18,3,10,61,18,2,10,13,18,1,10,1,18,1,10,7,8,1,10,2,18,2,4,1,19,9,4,4,10,18,8,1,10,177,18,4,4,13,10,2,4,11,19,7,4,41,19,7,4,3,10,7,8,10,10,3,8,6,10,31,9,1,10,126,8,1,10,43,18,5,10,21,4,2,19,6,4,5,10,7,4,12,10,37,18,2,10,3,18,2,10,4,18,2,10,21,18,3,10,55,4,7,19,1,4,3,19,14,4,106,19,7,4,2,10,5,8,3,10,7,8,4,10,3,8,3,10,2,8,4,10,49,8,4,10,17,8,1,10,15,8,3,10,3,4,10,18,1,9,1,10,11,8,2,10,8,4,2,19,6,4,289,},
{4,710,19,8,4,2,9,1,8,15,10,2,8,7,10,3,8,4,10,2,8,14,10,2,8,1,10,11,18,3,10,2,18,1,4,1,10,1,18,1,3,3,16,1,3,1,18,1,4,4,3,1,16,5,3,1,18,1,4,4,18,1,3,1,16,6,3,1,18,1,9,1,18,1,3,1,16,4,18,1,8,1,3,4,14,1,18,2,8,1,10,22,8,1,10,49,18,2,10,13,18,2,8,1,10,3,8,1,10,12,8,1,18,3,10,4,8,2,10,1,18,1,10,5,18,2,3,1,18,3,10,2,18,1,10,2,18,2,10,2,18,1,3,3,10,2,3,2,16,1,3,3,16,6,3,1,18,3,3,3,14,2,15,1,8,1,18,1,3,2,18,2,14,2,18,1,10,13,18,2,10,34,8,14,10,5,8,1,10,1,8,93,18,3,15,3,18,4,15,2,18,9,15,2,14,2,15,2,18,1,8,6,18,1,14,6,18,1,8,4,18,2,8,5,18,1,8,6,18,2,8,2,10,3,8,5,18,1,8,5,10,3,8,4,10,3,8,35,18,8,8,1,10,12,8,1,18,4,8,1,18,2,8,8,10,3,8,3,10,8,9,1,18,1,10,47,8,11,10,23,8,9,10,5,8,2,10,10,8,2,10,7,18,5,8,1,10,96,4,2,19,18,4,4,10,5,18,2,10,60,18,3,10,14,18,2,10,7,9,1,10,2,18,2,4,1,19,9,4,4,10,18,8,1,10,177,18,4,10,2,18,1,10,1,18,12,10,2,18,2,10,1,18,1,4,5,19,7,4,40,19,8,4,2,10,7,8,5,10,1,8,3,10,7,8,4,10,46,8,4,10,151,18,5,10,21,4,2,19,6,4,4,10,8,4,12,10,28,18,2,10,7,18,2,10,64,8,1,10,24,4,5,19,5,4,2,19,13,4,107,19,7,4,1,18,1,10,5,8,1,10,9,8,4,10,2,8,5,10,1,8,4,10,50,8,2,10,17,8,2,10,5,8,2,10,8,8,2,18,2,8,1,10,1,4,10,18,1,9,1,8,1,10,10,8,2,10,8,18,1,4,1,19,7,4,288,},
{4,712,19,6,4,2,8,16,10,3,8,6,10,1,8,6,10,2,8,15,10,17,4,6,18,2,3,3,18,1,4,2,18,1,3,1,16,4,3,5,4,2,18,1,3,1,16,6,3,1,18,1,3,2,16,5,3,1,18,1,14,1,3,1,14,1,18,2,8,3,10,21,8,1,18,1,8,1,10,9,8,3,10,36,18,2,10,16,8,6,18,2,10,6,18,1,10,2,18,2,8,1,10,10,18,1,9,1,10,3,18,1,3,3,9,1,10,1,18,1,10,1,18,1,10,2,18,1,10,1,3,4,9,1,10,1,18,1,3,2,18,3,3,1,16,5,3,3,14,6,18,1,10,1,8,1,3,2,18,1,8,4,10,42,8,20,10,5,8,4,10,1,8,65,18,3,8,10,18,2,8,7,18,5,15,2,18,5,8,2,18,2,8,3,18,1,15,1,18,1,8,2,15,6,18,2,8,8,18,1,15,1,14,2,18,2,8,3,18,4,8,3,18,2,8,5,18,3,8,2,10,4,8,4,18,2,8,1,10,1,8,2,10,3,8,3,10,5,8,3,18,2,8,8,18,2,8,19,18,1,8,4,18,2,8,7,10,3,8,4,18,2,8,3,18,8,8,2,10,4,8,1,18,2,8,1,10,2,18,2,10,3,18,3,10,10,8,1,10,11,8,7,10,17,8,5,18,1,8,3,10,25,8,9,10,26,18,2,8,1,10,8,8,4,10,76,18,2,10,9,4,2,19,18,4,4,10,32,18,1,10,16,18,4,10,39,18,1,10,3,18,2,4,1,19,9,4,4,18,1,10,194,8,1,18,3,10,3,18,11,10,9,4,7,19,7,4,40,19,6,4,2,10,9,8,1,10,2,8,6,10,6,8,4,10,33,18,2,9,1,10,10,8,4,10,152,18,3,10,21,4,2,19,6,4,4,10,8,4,12,10,19,18,3,10,5,18,4,10,7,18,1,10,4,18,2,10,58,8,1,10,24,4,3,19,9,4,6,19,5,4,109,19,5,4,3,18,3,8,1,10,1,8,2,10,2,8,1,10,7,8,3,10,3,8,9,10,65,8,6,10,4,8,3,10,3,8,1,10,4,8,1,18,3,9,1,18,1,4,10,18,2,8,1,10,21,4,1,19,7,4,288,},
{4,712,19,6,4,2,10,1,8,16,10,2,8,5,10,2,8,5,10,3,8,15,10,16,18,1,4,6,10,2,18,1,3,1,16,2,3,1,18,1,3,1,16,3,3,3,16,4,3,1,18,2,3,1,16,6,3,3,16,6,3,2,14,1,18,2,8,1,10,25,18,3,10,9,8,3,10,36,18,2,10,16,8,6,18,2,10,10,18,1,8,1,10,10,8,1,10,4,18,1,3,3,18,1,10,1,18,1,10,3,18,2,10,1,3,3,18,1,10,2,18,3,10,3,3,2,16,5,3,2,18,1,8,4,18,1,8,1,10,2,18,1,15,1,8,1,10,14,18,1,10,31,8,20,10,2,8,1,10,2,8,4,10,1,8,65,18,3,8,8,18,5,8,5,18,5,15,1,14,2,15,1,18,4,8,2,18,2,8,3,18,1,14,1,15,1,8,2,15,1,14,1,15,4,18,4,8,8,18,8,14,2,18,1,8,3,18,2,8,5,18,3,8,2,10,4,8,4,18,2,8,1,10,1,8,2,10,3,8,3,10,5,8,3,18,2,8,2,10,3,8,3,18,2,8,16,18,4,8,5,18,2,8,3,18,4,8,2,18,6,8,2,18,9,8,2,10,4,8,1,18,2,8,1,10,3,18,1,10,4,18,2,10,2,8,1,10,7,8,1,10,11,8,7,10,18,8,4,18,1,8,2,10,6,8,3,10,22,8,3,10,27,18,2,10,1,8,13,10,72,8,1,10,2,18,2,10,9,4,2,19,18,4,4,18,1,10,31,18,1,10,15,18,7,10,42,4,2,19,9,4,4,18,1,10,194,8,1,18,3,10,3,18,10,8,1,10,9,4,8,19,6,4,40,19,7,4,2,10,4,8,1,10,6,8,8,10,4,8,4,10,33,18,1,10,13,8,3,10,153,18,1,10,22,4,12,10,8,4,12,10,19,18,1,10,1,18,1,10,5,18,2,10,1,18,1,10,12,18,2,10,16,8,1,10,9,8,1,10,3,8,1,10,11,8,1,10,15,8,2,10,22,4,3,19,10,4,120,19,4,4,3,18,4,8,1,10,1,8,2,10,1,8,2,10,7,8,3,10,4,8,7,10,29,18,1,10,35,8,9,10,2,8,3,10,3,8,2,10,3,8,1,18,4,4,11,10,1,8,2,10,21,4,2,19,6,4,288,},
{4,712,19,6,4,3,18,1,9,1,8,14,10,2,8,5,10,3,8,4,10,2,8,16,10,16,18,1,4,6,10,2,18,1,3,1,16,3,3,5,4,2,3,1,16,3,3,4,16,14,3,2,16,1,3,2,18,2,8,1,10,25,8,1,18,1,8,1,10,9,8,3,10,36,18,2,10,16,8,6,10,8,18,1,10,3,18,2,10,13,18,7,4,6,10,2,18,2,10,3,9,1,18,1,3,2,18,1,10,2,18,1,3,5,16,1,3,1,18,1,10,5,9,1,8,1,9,1,10,17,18,2,10,3,18,2,10,25,8,16,10,2,8,3,10,2,8,1,10,2,8,70,18,3,8,7,18,6,8,5,18,6,15,1,14,1,15,1,18,4,8,2,18,1,15,1,18,1,8,2,15,1,14,2,18,1,8,1,15,1,14,1,15,1,14,2,15,4,18,16,14,2,18,2,8,4,18,1,8,5,18,3,8,2,10,3,8,5,18,1,8,1,10,2,8,2,10,2,8,4,10,3,8,5,18,1,8,3,10,3,8,2,18,1,8,17,18,5,8,4,18,3,8,2,18,13,8,1,18,3,8,2,18,4,8,3,10,3,8,4,10,13,8,1,10,7,8,1,10,39,8,4,10,7,8,2,10,23,8,2,10,27,8,2,10,1,8,14,10,71,8,1,10,13,4,2,19,18,4,4,18,1,10,48,18,7,10,42,4,1,19,9,4,4,10,38,18,2,10,155,8,1,18,2,8,1,10,2,18,7,8,1,10,18,4,3,19,6,4,40,19,7,4,3,10,2,8,4,10,2,8,12,10,1,8,5,10,160,8,1,10,71,4,1,10,13,4,12,10,28,18,3,10,34,8,1,10,8,18,2,10,4,18,1,10,10,8,6,10,19,8,1,10,4,4,8,19,11,4,120,19,4,4,2,18,5,8,1,10,12,8,4,10,4,8,4,10,29,18,2,10,2,18,1,10,34,8,10,10,2,8,2,10,3,8,1,10,4,8,1,18,3,4,2,19,3,4,7,10,19,8,1,10,4,4,2,19,6,4,288,},
{4,713,19,5,4,4,18,1,8,20,10,4,8,22,10,16,18,1,4,6,18,2,3,2,16,4,3,3,18,1,4,2,3,1,16,4,3,2,16,10,3,3,18,3,3,4,18,2,10,26,8,3,10,9,8,2,10,36,18,2,10,17,8,4,10,13,8,1,3,2,18,1,10,8,18,1,10,3,8,1,18,2,8,1,18,1,3,1,18,1,4,6,10,2,9,1,10,4,18,1,3,3,18,1,10,3,9,1,18,3,3,2,18,1,10,6,8,1,18,1,8,1,10,49,8,16,10,3,8,2,10,5,8,81,18,5,8,6,18,2,8,1,18,3,15,2,18,2,8,4,15,1,14,1,18,1,8,1,18,1,15,1,14,2,15,1,8,1,18,1,15,1,14,3,15,5,18,1,15,1,18,3,15,1,18,7,14,3,18,2,8,11,18,3,8,12,10,3,8,1,10,2,8,3,10,2,8,10,10,4,8,1,18,2,8,4,18,2,8,9,18,6,8,6,18,2,8,3,18,8,8,2,18,2,8,2,18,2,8,2,18,4,8,9,10,22,8,1,10,75,8,2,10,30,8,18,10,81,4,2,19,18,4,4,10,52,18,3,10,6,18,1,10,36,4,2,19,7,4,5,10,36,18,1,9,1,18,1,10,1,18,1,10,153,8,7,18,6,10,20,4,3,19,6,4,40,19,9,4,1,10,3,8,4,10,2,8,11,10,1,8,5,10,159,8,3,10,84,4,12,10,50,18,1,10,23,18,1,10,5,18,2,10,7,8,11,10,20,4,6,19,14,4,120,19,5,4,1,18,1,8,4,10,12,8,5,10,37,18,2,10,2,18,1,10,35,8,1,10,3,8,5,10,12,8,1,18,1,8,1,10,1,4,1,19,6,4,5,10,24,4,2,19,6,4,288,},
{4,722,18,1,8,20,10,4,8,22,10,3,18,3,10,11,4,4,18,1,3,6,16,2,3,1,18,1,4,4,3,4,16,12,3,2,4,5,18,1,3,3,14,1,18,1,8,1,10,12,8,3,10,12,8,2,10,46,18,3,10,28,18,2,10,2,18,1,10,1,18,1,3,2,18,1,10,16,18,1,3,2,18,1,4,5,10,4,18,2,10,1,18,1,3,3,9,1,10,3,9,1,18,2,10,6,9,1,10,3,18,2,8,1,10,9,8,2,10,37,8,17,10,2,8,3,10,5,8,82,18,3,8,7,18,1,8,4,18,4,8,5,14,2,18,1,8,2,18,1,14,2,15,1,8,1,18,1,15,2,14,1,15,2,18,5,15,2,18,9,14,3,18,1,8,14,18,2,8,10,10,5,8,5,10,4,8,9,10,3,8,2,18,2,8,3,18,3,8,8,18,7,8,5,18,2,8,5,18,2,8,5,10,2,8,7,18,6,8,7,10,4,8,2,10,3,8,5,10,85,8,3,10,28,8,20,10,9,8,1,10,70,4,2,19,18,4,4,10,61,18,1,10,36,4,3,19,5,4,6,10,36,18,1,10,1,18,3,10,153,8,1,18,1,8,10,10,22,4,3,19,6,4,39,19,9,4,1,10,3,8,3,10,13,8,1,10,1,8,5,10,159,8,3,10,67,18,2,10,15,4,12,10,50,18,2,10,28,18,2,10,8,8,9,10,21,4,1,19,18,4,121,19,5,4,1,18,1,10,1,8,1,10,14,8,5,10,40,18,1,10,36,8,1,10,4,8,4,10,12,8,2,10,2,4,1,19,6,4,5,18,1,10,23,4,3,19,5,4,288,},
{4,723,10,1,8,12,18,2,10,1,8,4,10,3,8,23,10,3,18,4,10,1,18,5,10,4,4,4,3,5,18,1,3,4,4,4,18,1,3,5,16,11,3,2,4,5,18,1,3,3,18,3,8,1,10,11,18,3,10,12,8,2,10,46,18,1,10,30,18,2,10,1,18,1,3,5,18,1,10,2,18,1,10,13,18,1,3,2,18,1,4,5,10,6,18,2,3,2,18,1,9,1,10,3,18,1,3,1,18,1,10,4,9,1,8,1,10,3,9,1,14,1,3,1,14,1,8,1,9,1,10,1,8,2,10,3,8,1,18,1,8,1,10,16,18,1,10,20,8,17,10,2,8,4,10,4,8,84,18,1,8,13,18,3,8,4,18,1,15,2,8,4,15,3,18,1,8,1,18,1,15,3,18,1,8,4,18,5,8,3,18,7,8,2,10,1,8,23,10,7,8,4,10,5,8,4,18,1,8,8,18,2,8,15,18,1,8,3,18,1,8,6,18,2,8,2,10,4,8,1,10,8,8,6,18,3,8,1,18,5,8,3,10,5,18,2,8,3,18,4,10,86,8,3,10,27,8,22,10,8,8,2,10,50,18,2,10,17,4,3,19,17,4,4,10,98,4,3,19,5,4,6,10,38,18,1,9,1,18,1,10,153,8,1,18,5,8,3,10,25,4,5,19,5,4,39,19,8,4,2,10,3,8,2,10,15,8,1,10,1,8,3,10,5,8,2,10,152,8,3,10,68,18,2,10,13,4,13,10,38,18,2,10,10,18,2,10,38,8,9,10,1,8,1,10,10,4,3,10,5,4,2,19,14,4,125,19,4,4,3,18,1,8,1,10,7,8,2,10,5,8,3,10,90,8,3,10,7,18,1,8,1,10,1,4,2,19,7,4,4,10,25,4,3,19,4,4,288,},
{4,715,19,6,4,3,8,12,18,3,8,4,10,3,8,10,10,1,8,12,10,3,18,10,10,7,18,2,3,2,18,2,10,1,18,3,3,1,18,1,4,3,18,1,3,3,18,2,3,1,16,6,3,1,16,4,3,1,18,1,4,4,18,1,3,3,18,3,8,1,10,11,18,1,3,1,18,1,10,12,8,2,10,47,18,1,10,28,18,3,10,1,3,1,16,1,3,4,18,1,10,13,8,1,18,3,3,1,18,1,4,6,10,2,18,4,3,4,18,2,10,2,18,1,3,4,18,1,9,2,18,2,10,3,18,1,3,1,16,1,3,2,15,1,18,3,8,1,10,1,8,2,18,2,10,37,8,17,10,2,8,4,10,4,8,98,18,4,8,3,18,1,15,1,18,1,8,4,18,1,15,2,18,1,8,1,18,3,8,7,18,4,8,4,18,1,8,1,18,4,8,1,10,3,8,21,10,9,8,3,10,6,8,3,18,3,8,7,18,3,8,5,10,3,8,15,18,2,8,3,10,15,8,3,18,2,8,5,18,3,8,2,10,5,18,4,8,1,18,4,8,1,10,86,8,3,10,26,8,23,10,8,8,2,10,50,18,1,9,1,18,4,10,14,4,3,19,16,4,3,10,99,4,11,10,41,18,2,10,8,18,2,10,143,8,2,14,4,18,2,8,1,10,28,18,1,4,2,19,5,4,42,19,5,4,2,10,23,8,2,10,5,8,2,10,152,8,3,10,68,18,2,10,12,4,3,19,5,4,3,10,33,18,3,10,4,18,4,10,9,18,2,10,38,8,1,10,4,8,3,10,8,4,15,19,11,4,135,18,2,8,1,10,6,8,2,10,5,8,2,10,80,8,1,10,10,8,3,10,7,18,2,4,3,19,7,4,4,10,26,4,294,},
{4,714,19,8,4,2,10,1,8,11,18,3,8,3,10,3,8,10,10,3,8,11,10,3,18,10,10,9,18,3,10,4,18,2,3,2,4,2,18,1,3,3,4,2,18,1,3,1,16,4,3,1,18,1,3,1,16,4,18,2,4,3,18,2,3,2,18,1,8,1,18,2,8,1,10,10,18,1,3,2,10,12,8,2,10,68,8,3,10,4,9,1,18,2,10,1,8,1,3,1,16,1,3,4,18,1,10,12,18,1,3,2,18,3,10,1,4,6,10,2,8,1,18,2,3,4,18,3,9,2,18,2,3,7,8,1,10,3,18,1,3,3,14,1,18,1,8,1,18,2,8,4,18,2,8,1,10,36,8,17,10,2,8,5,10,2,8,27,10,1,8,37,18,1,8,2,18,1,8,24,18,2,8,4,18,1,15,2,18,1,8,3,18,1,15,1,18,1,8,4,18,2,15,3,18,2,8,8,18,3,8,5,18,1,8,2,18,2,8,2,10,3,8,2,18,1,8,17,10,11,8,2,10,6,8,3,18,4,8,12,10,6,8,6,10,1,8,7,18,2,8,2,10,14,8,7,10,4,8,2,18,1,8,3,10,3,8,2,18,3,8,2,18,4,10,80,8,4,10,3,8,3,10,25,8,24,10,9,8,1,10,50,18,1,10,1,18,1,10,3,18,2,10,1,18,3,10,9,4,2,19,16,4,2,10,24,18,2,10,74,4,10,10,52,18,2,10,143,8,1,15,1,14,5,18,1,8,1,10,29,18,1,4,1,19,5,4,42,19,5,4,3,10,17,8,2,10,3,8,1,10,6,8,2,10,224,18,2,10,11,4,2,19,6,4,2,10,34,18,4,10,4,18,3,10,9,18,2,10,9,8,1,10,4,8,1,10,2,8,3,10,1,8,1,10,5,8,2,10,5,8,1,10,4,8,3,10,11,4,4,19,23,4,135,18,2,8,1,10,6,8,2,10,5,8,2,10,79,8,2,10,10,8,3,10,7,18,2,4,2,19,8,4,4,10,26,4,294,},
{4,714,19,8,4,2,10,4,8,6,10,1,8,6,10,4,8,11,10,1,8,12,10,5,18,1,10,3,18,3,10,4,18,2,10,5,18,6,3,4,4,3,3,3,4,4,3,1,16,2,3,1,18,2,3,1,16,3,3,4,18,2,10,2,18,6,8,1,10,10,18,1,3,2,8,1,10,11,8,2,10,65,8,1,10,1,8,2,18,2,8,1,10,2,18,3,10,3,18,1,3,5,18,1,10,11,8,1,3,3,14,1,18,1,8,1,10,3,18,2,10,1,18,2,10,2,18,3,3,2,18,4,10,2,8,1,10,2,3,1,16,3,3,2,9,1,10,2,9,1,18,3,8,1,9,1,10,3,9,1,8,2,10,1,8,1,18,3,10,37,8,16,10,4,8,3,10,2,8,24,10,6,8,35,18,1,8,1,18,2,8,1,18,4,8,7,18,3,8,7,18,5,8,1,18,3,14,2,18,1,8,2,18,1,15,3,8,4,18,1,15,1,14,2,15,3,18,1,8,6,18,5,8,3,18,2,8,2,18,2,8,3,10,1,8,2,18,2,8,12,18,2,8,3,10,5,8,2,10,4,8,2,10,6,8,5,18,5,8,7,10,8,8,5,10,2,8,8,18,1,8,2,10,13,8,1,18,1,8,6,10,5,8,9,18,1,8,9,10,27,8,4,10,49,8,4,10,4,8,1,10,17,8,2,10,6,8,26,10,59,18,1,10,1,18,9,10,10,4,3,19,14,4,3,10,24,18,2,10,74,4,10,10,197,8,1,15,1,14,5,18,1,8,1,10,30,4,2,19,4,4,42,19,5,4,3,10,5,8,2,10,8,8,8,10,6,8,1,10,23,9,1,10,201,18,4,10,9,4,2,19,7,4,1,10,35,18,3,10,18,18,1,10,8,8,2,10,3,8,7,10,1,8,1,10,1,8,4,10,1,8,1,10,3,8,7,10,12,4,4,19,24,4,135,18,3,10,6,8,1,10,6,8,2,10,36,18,3,10,17,18,1,10,22,8,2,10,10,8,2,10,9,18,1,4,3,19,9,4,2,10,26,4,3,19,5,4,286,},
{4,714,19,8,4,2,10,4,8,5,10,3,8,5,10,4,8,3,18,2,8,19,10,23,18,7,3,3,4,3,18,3,4,4,3,1,16,2,3,1,4,3,3,5,16,2,3,1,18,1,10,1,18,1,10,3,8,1,18,2,8,1,10,10,18,1,3,1,14,1,8,1,10,78,8,3,18,4,10,2,18,3,10,4,18,2,3,3,10,2,18,1,10,10,18,1,3,2,14,1,18,2,8,1,10,1,18,1,3,2,10,2,18,2,10,3,18,3,8,1,10,1,8,1,10,6,18,1,16,4,3,1,10,3,9,1,8,1,10,12,8,1,18,2,8,1,10,38,8,14,10,4,8,2,10,2,8,24,10,8,8,31,18,1,8,7,18,1,14,2,18,3,8,3,18,7,8,5,18,5,8,1,18,8,15,1,18,2,8,6,18,1,14,3,15,2,18,2,8,5,18,5,8,7,18,3,8,4,18,1,14,1,15,1,8,12,18,1,8,4,10,5,8,2,10,5,8,1,10,2,8,10,18,4,8,3,10,12,8,6,10,1,8,11,10,12,8,1,18,2,8,5,10,7,8,7,18,2,8,2,10,1,8,4,10,8,8,4,10,15,8,8,10,43,8,2,10,3,8,2,10,23,8,2,10,5,8,29,10,54,8,1,10,2,18,1,10,4,18,5,10,12,4,19,10,20,18,2,10,3,18,2,10,74,4,9,10,197,8,1,15,1,14,5,18,1,8,1,10,30,4,4,19,2,4,42,19,6,4,2,10,5,8,4,10,6,8,1,10,1,8,7,10,5,8,1,10,22,9,1,18,1,9,1,10,201,18,3,10,8,4,3,19,7,4,1,10,35,18,3,10,10,18,1,10,7,18,2,10,6,8,16,18,4,8,2,10,3,8,1,18,1,8,2,10,1,8,1,18,1,10,11,4,4,19,22,4,1,19,1,4,136,18,3,8,1,10,12,8,3,10,34,18,4,10,17,18,1,10,21,8,2,10,22,18,1,4,2,19,11,4,2,10,25,4,2,19,6,4,286,},
{4,714,19,9,4,2,10,3,8,5,10,3,8,2,10,1,8,2,10,4,8,4,18,1,8,17,18,3,10,22,18,3,10,4,18,1,3,2,4,10,3,1,16,2,3,1,4,5,18,2,3,1,16,3,3,1,10,1,18,1,10,3,8,3,10,11,8,1,18,2,10,79,8,2,18,5,10,2,18,1,10,3,8,1,10,3,8,1,3,2,18,1,10,1,18,1,10,1,18,1,10,2,18,2,10,6,8,1,18,2,14,1,3,2,18,2,3,2,18,1,10,2,18,1,10,4,8,2,10,9,3,1,16,3,3,1,18,1,10,18,18,3,10,18,18,2,10,16,8,1,10,2,8,13,10,5,8,1,10,2,8,4,10,2,8,18,10,9,8,38,18,1,14,2,15,1,18,3,8,1,18,6,8,7,18,16,8,7,18,1,14,3,15,2,18,2,8,5,18,4,8,8,18,4,8,1,18,3,14,1,18,1,8,3,18,4,8,5,18,1,8,4,10,3,8,4,10,6,8,14,18,2,8,3,10,5,8,26,10,8,8,4,18,2,8,2,10,11,8,4,18,4,8,3,18,2,8,1,10,5,8,2,10,2,8,4,10,13,8,11,10,33,8,3,10,6,8,4,10,4,18,1,8,1,10,20,8,2,10,3,8,32,10,53,8,1,10,11,18,1,10,25,4,3,18,1,10,309,8,1,15,1,14,4,18,1,8,2,10,31,18,2,4,45,19,6,4,2,10,19,8,5,10,41,8,1,10,171,8,2,10,18,18,1,10,5,18,3,4,3,19,8,4,1,10,35,18,3,10,10,18,1,10,7,18,2,10,6,8,16,18,2,8,1,18,1,8,1,10,3,8,2,18,1,8,2,10,1,8,1,18,1,8,1,10,1,4,12,19,18,4,143,18,3,8,1,10,11,8,5,10,33,9,1,18,3,10,38,8,3,10,5,8,3,10,12,8,1,9,1,18,1,4,1,19,12,4,2,10,26,4,2,19,5,4,286,},
{4,714,19,10,4,1,10,3,8,5,10,4,8,1,10,1,18,1,8,1,10,3,8,5,18,1,8,17,18,3,10,9,9,1,18,1,10,11,18,2,10,6,18,2,4,10,3,1,16,2,3,1,4,6,18,1,3,1,16,2,3,2,10,2,18,2,9,1,10,16,8,1,10,79,8,1,18,6,10,6,18,1,10,2,18,1,10,1,18,2,8,1,10,1,18,1,10,1,18,1,10,2,18,2,10,8,8,1,18,1,3,2,18,1,3,2,16,1,3,2,10,3,18,2,10,11,18,1,3,2,16,2,3,2,9,1,10,10,9,1,8,1,10,4,8,1,18,4,10,17,18,2,10,15,8,2,10,2,8,13,10,4,8,8,10,2,8,18,10,9,8,38,15,1,14,2,18,3,8,4,18,3,8,9,18,3,8,2,18,9,8,9,15,3,18,4,8,1,18,2,8,2,18,4,8,9,18,5,14,3,18,1,8,3,18,1,15,3,18,2,8,3,15,1,8,11,10,6,8,4,18,4,8,7,18,1,8,2,10,6,8,3,18,1,8,5,18,3,8,15,10,7,8,7,10,4,8,4,10,4,8,3,18,2,8,2,18,1,8,3,18,2,8,1,10,4,8,1,18,1,8,2,10,1,8,1,18,2,8,1,10,13,8,11,10,33,8,4,10,4,8,2,18,2,8,2,10,2,8,1,18,2,10,19,8,3,10,3,8,32,10,37,8,1,10,40,18,2,10,324,8,2,15,2,8,5,10,32,18,2,4,44,19,6,4,2,10,21,8,3,10,39,8,3,10,169,8,4,10,21,18,6,4,1,19,10,4,1,10,36,18,2,10,18,18,2,10,5,8,18,18,3,8,1,10,3,8,2,18,2,8,1,10,1,8,2,10,2,4,12,19,17,4,145,18,2,8,1,10,12,8,4,10,33,18,3,10,38,8,4,10,4,8,4,10,12,8,1,9,1,4,1,19,13,4,2,10,27,4,1,19,5,4,286,},
{4,714,19,10,4,1,10,3,8,6,10,4,18,2,8,1,10,3,8,1,18,3,8,19,9,1,18,2,10,7,18,4,10,15,18,2,10,2,4,7,18,1,3,2,4,1,18,1,3,1,16,2,3,2,18,1,4,4,18,1,3,4,18,2,3,3,18,1,10,8,9,1,10,87,8,6,10,7,18,1,8,1,10,6,18,1,10,1,18,1,10,4,18,3,10,8,8,1,18,2,3,1,16,3,3,1,8,1,10,8,18,1,10,5,18,3,3,2,16,2,3,2,18,1,10,5,18,1,14,1,18,3,8,1,10,3,9,1,18,6,10,32,8,3,10,1,8,14,10,4,8,8,10,3,8,17,10,8,8,39,15,3,18,2,8,17,18,3,8,3,18,3,8,3,18,1,8,11,15,1,18,1,8,1,18,3,8,1,18,2,8,2,18,1,8,13,18,3,14,2,18,3,8,2,18,2,15,4,18,2,15,3,8,11,10,6,8,4,18,5,8,6,18,1,8,2,10,5,8,2,18,5,8,1,18,10,8,11,10,6,8,6,10,4,8,7,10,2,8,7,18,2,8,2,18,2,8,1,10,4,8,1,18,1,8,2,10,1,8,4,10,12,8,13,10,32,8,4,10,3,8,3,18,8,8,1,10,2,8,1,10,16,8,3,10,3,8,32,10,37,8,1,10,367,8,8,10,32,18,2,4,45,19,5,4,2,10,22,8,1,10,14,8,1,10,17,9,1,10,6,8,1,18,1,8,1,10,170,8,3,10,23,18,2,10,3,4,1,19,10,4,1,10,27,18,1,10,9,18,1,10,18,18,2,10,5,8,15,10,3,8,4,10,4,8,1,18,2,8,1,10,5,4,12,19,16,4,146,18,1,10,4,8,1,10,46,18,3,10,38,8,4,10,5,8,3,10,14,4,2,19,12,4,2,10,27,4,1,19,5,4,286,},
{4,714,19,10,4,1,10,3,8,7,10,4,18,1,8,2,10,3,18,3,8,4,10,2,8,13,18,3,10,6,9,1,18,4,10,19,4,6,18,1,3,1,16,2,3,1,18,1,3,1,16,1,3,2,16,1,3,2,18,7,3,3,16,3,3,1,18,1,10,6,18,3,10,57,18,1,10,28,8,3,10,5,18,1,10,10,8,2,10,8,18,2,10,9,18,1,3,1,16,4,3,1,18,1,10,8,18,1,10,4,8,1,18,1,10,2,18,1,3,2,16,2,3,1,18,1,10,4,9,1,14,1,3,1,14,3,18,1,10,2,8,1,15,1,14,2,18,4,10,32,8,28,18,1,8,1,10,2,8,19,10,6,8,40,15,3,18,2,8,17,18,9,8,6,10,2,8,10,18,9,8,14,18,2,14,1,18,3,8,1,18,5,15,7,8,12,10,6,8,4,18,1,14,3,18,2,8,4,18,2,8,2,10,4,8,5,18,15,8,4,18,2,8,5,10,14,8,17,18,2,8,2,18,2,8,1,10,2,8,11,10,12,8,13,10,33,8,9,18,1,14,3,18,4,10,3,8,1,10,14,8,5,10,3,8,30,10,81,8,1,10,101,18,1,10,223,8,18,9,2,10,21,18,2,4,44,19,5,4,2,10,37,8,1,10,15,18,3,9,1,10,4,9,1,8,3,10,198,18,1,10,2,4,1,19,9,4,2,10,26,18,2,10,3,18,1,10,14,18,1,10,9,18,2,10,5,8,15,10,4,8,2,9,2,10,3,8,2,9,1,8,1,10,4,4,13,19,8,4,154,10,5,8,1,10,88,8,3,10,22,4,2,19,13,4,1,10,27,4,1,19,5,4,286,},
{4,714,19,9,4,2,10,3,8,8,10,8,8,1,18,1,10,4,8,2,10,2,8,13,18,3,10,5,9,1,18,5,9,1,10,8,18,3,10,5,18,1,4,7,3,1,16,3,3,5,16,4,3,1,18,1,10,3,18,1,3,2,16,5,3,1,18,1,10,6,18,3,9,1,10,6,9,2,10,48,18,1,10,28,8,2,10,6,18,2,10,9,18,1,3,1,8,1,10,18,18,1,16,5,3,1,10,1,8,1,10,7,18,1,10,8,18,1,3,2,16,1,3,2,10,5,9,1,3,3,14,2,18,1,10,2,18,1,3,3,18,1,8,1,18,2,10,32,8,27,18,2,8,2,10,1,8,43,18,1,8,21,15,1,14,1,15,1,18,2,8,12,18,2,8,3,18,9,8,2,18,2,8,2,10,2,8,2,18,1,8,7,18,1,15,6,18,3,8,7,18,3,8,4,18,4,8,1,18,1,14,2,15,1,18,4,15,4,8,12,10,2,8,3,10,2,8,4,18,1,14,4,18,1,8,4,18,2,8,2,10,2,8,4,10,1,8,4,18,10,14,1,18,3,8,3,18,2,8,5,10,12,8,11,18,1,8,7,18,1,8,1,10,1,8,1,18,2,8,14,10,11,8,13,10,35,8,2,7,3,18,4,14,2,3,2,18,2,10,18,8,1,18,1,8,4,10,3,8,30,10,175,8,1,10,1,8,1,10,2,8,2,10,1,18,2,10,223,8,9,15,2,14,6,15,1,18,2,9,2,10,18,18,4,4,53,10,33,8,1,10,15,18,2,10,211,4,1,19,7,4,4,10,26,18,2,10,2,18,2,10,14,18,1,10,3,18,2,10,3,18,3,10,5,8,3,18,1,8,11,10,1,4,3,18,2,10,1,18,2,4,3,18,2,10,1,4,179,10,96,18,1,10,19,4,5,19,13,4,3,10,25,4,1,19,5,4,286,},
{4,714,19,9,4,1,10,4,8,7,10,3,8,3,10,3,8,3,9,1,8,1,9,1,8,2,10,1,8,14,18,2,10,6,18,6,10,3,18,2,10,5,18,2,10,3,18,3,4,5,18,1,3,2,16,3,3,10,10,4,18,1,3,2,16,3,3,3,18,1,10,6,9,1,18,3,9,1,10,5,9,1,18,1,10,48,18,1,10,15,18,8,10,4,8,3,10,5,18,3,10,4,8,1,10,4,3,3,18,1,10,12,18,2,10,1,8,2,3,1,16,4,3,1,18,1,10,18,18,1,3,4,18,1,10,3,8,1,10,1,8,1,14,1,3,2,14,1,15,1,8,1,10,2,14,1,3,3,18,1,8,1,18,2,10,3,9,1,18,2,8,1,10,25,8,27,18,2,8,41,18,11,8,16,18,4,8,13,18,14,8,6,10,1,8,2,18,3,8,7,15,6,18,4,8,6,18,4,8,3,18,6,14,2,18,1,8,2,18,2,15,5,8,11,10,2,8,3,10,2,8,4,18,1,14,4,15,1,8,4,18,2,8,2,10,3,8,8,18,5,8,1,18,9,8,2,18,3,8,6,10,10,8,1,18,3,8,6,18,2,8,9,10,2,8,5,18,1,8,7,10,1,8,2,10,11,8,12,10,36,8,4,18,10,10,19,8,4,10,5,8,29,10,99,8,2,10,83,18,2,10,224,8,8,15,1,14,10,15,1,18,1,8,5,10,15,18,2,4,47,19,4,4,2,10,33,8,1,10,228,4,1,19,7,4,4,10,27,18,2,10,1,18,1,10,15,18,1,10,3,18,1,10,4,18,2,10,6,8,2,10,1,8,3,10,9,4,63,19,1,4,130,10,94,18,1,4,12,10,9,4,4,19,15,4,2,10,3,8,1,10,21,4,1,19,5,4,286,},
{4,717,19,5,4,2,8,10,10,2,18,1,10,2,8,3,10,3,8,2,9,1,18,2,9,1,8,16,18,2,10,6,18,7,10,1,9,1,18,3,10,8,18,2,3,2,18,1,4,4,3,5,16,4,3,3,18,1,9,1,18,1,10,1,9,1,18,1,10,1,18,2,3,6,18,1,8,1,10,9,18,3,10,6,18,1,10,12,8,3,10,39,18,2,10,12,8,2,10,1,8,3,10,1,8,1,18,1,8,2,10,4,8,2,18,1,8,2,10,7,8,1,3,3,18,1,10,1,18,1,10,9,18,1,4,3,18,2,3,5,18,1,8,1,10,13,18,6,14,1,3,3,14,1,10,3,9,2,8,1,18,1,14,2,15,1,8,1,10,2,8,1,14,1,3,2,14,4,18,1,8,1,10,1,8,1,18,1,3,2,18,1,8,1,10,25,8,5,10,3,8,57,18,6,14,1,18,2,8,2,18,6,8,3,18,1,8,27,18,5,15,8,8,10,18,4,8,1,18,1,8,4,18,2,15,3,18,4,8,10,18,5,15,1,14,2,15,1,18,1,15,1,18,1,8,4,18,1,15,1,14,3,15,1,18,1,8,11,10,3,8,7,15,1,14,4,8,10,10,4,8,6,18,2,15,3,18,2,14,2,8,2,18,1,15,3,8,2,18,1,15,3,8,11,10,4,8,35,10,17,8,5,10,44,8,3,18,6,8,1,10,28,8,30,10,184,18,4,10,62,8,2,10,161,8,9,7,3,14,7,15,1,8,6,10,5,8,4,10,6,18,1,4,45,19,5,4,1,10,33,8,1,10,228,4,1,19,1,4,1,19,4,4,5,10,12,18,1,10,16,18,1,10,2,8,2,10,4,8,1,10,17,8,1,10,1,8,1,10,9,18,3,10,7,4,62,19,14,4,2,19,7,4,98,19,4,4,7,10,35,18,1,10,48,8,1,10,9,18,1,4,1,19,4,4,2,19,3,4,3,10,8,4,3,19,6,4,1,19,1,4,2,19,6,4,3,10,6,8,3,10,15,4,2,19,5,4,285,},
{4,718,19,4,4,2,10,1,8,8,10,3,18,1,10,2,8,8,9,1,18,2,9,1,8,18,18,3,10,3,18,7,10,1,18,4,8,1,10,1,18,1,10,2,8,2,10,1,18,2,3,3,4,4,3,6,16,4,3,1,18,1,10,1,18,1,10,5,18,4,3,3,18,1,10,4,18,1,8,3,10,3,9,1,18,3,10,18,8,3,10,7,8,1,10,31,18,2,10,5,18,1,10,5,8,12,10,2,8,6,10,3,8,2,10,4,18,2,3,1,18,1,10,1,18,1,10,10,4,4,18,1,3,2,18,3,8,1,10,12,8,2,18,3,3,2,14,1,3,1,16,3,3,1,8,1,10,2,8,1,18,2,8,2,14,2,10,2,18,1,14,1,3,2,14,4,18,2,8,1,18,3,3,2,18,1,10,26,8,4,10,5,8,56,18,4,14,4,18,1,8,2,18,1,14,2,18,2,8,8,18,1,8,1,18,1,8,20,18,1,15,8,14,2,15,2,8,10,18,3,15,3,18,1,8,4,18,2,15,2,18,6,8,9,15,1,14,1,15,1,18,2,15,1,14,3,15,2,18,1,8,3,18,2,14,4,15,1,18,1,8,3,18,1,8,7,10,3,8,2,15,1,8,2,15,2,14,4,15,1,8,10,10,4,8,3,18,2,8,3,18,1,15,2,8,1,15,1,7,2,8,3,15,1,14,1,15,1,8,3,15,1,14,1,15,1,8,12,10,3,8,34,10,20,8,2,10,47,8,1,18,4,10,3,4,6,10,18,8,33,10,96,8,3,10,5,8,3,10,79,18,3,10,62,8,2,10,163,8,8,7,5,14,4,15,1,8,4,18,3,8,1,10,4,8,2,10,8,18,1,4,44,19,5,4,2,10,239,8,1,10,21,4,12,10,12,18,2,10,15,18,1,8,13,10,13,8,5,10,8,18,1,10,7,4,63,19,14,4,2,19,8,4,96,19,6,4,7,10,1,18,1,10,32,18,1,10,5,8,1,10,33,8,2,10,17,4,2,19,10,4,2,10,8,4,2,19,6,4,6,19,5,4,3,10,8,8,1,10,15,4,2,19,5,4,285,},
{4,718,19,5,4,2,10,1,8,9,10,3,8,9,9,1,18,2,9,1,8,5,10,1,8,11,18,4,4,10,10,3,18,2,8,1,10,4,8,2,10,3,18,1,3,2,4,4,3,8,16,2,3,1,10,4,18,5,10,2,9,1,3,4,18,1,10,2,8,1,18,5,10,2,18,5,4,5,10,11,8,2,10,54,8,19,10,3,8,2,18,1,10,1,18,1,10,4,18,1,8,1,10,1,18,1,10,2,18,2,10,4,18,1,10,1,4,4,18,1,3,4,18,1,10,17,8,1,18,1,14,1,3,1,16,5,3,1,8,2,18,1,14,2,9,1,8,1,3,2,10,2,14,1,3,5,14,1,18,1,8,1,9,1,18,6,8,1,10,27,8,3,10,5,8,56,18,4,14,4,18,1,8,1,18,2,14,1,18,2,8,32,18,1,15,1,14,1,15,7,14,1,15,4,8,7,18,5,15,2,18,6,15,1,14,1,15,1,18,6,8,9,15,1,14,1,18,3,15,1,14,2,15,3,18,2,8,2,18,2,15,2,14,2,15,1,18,2,8,2,18,1,8,7,10,3,8,1,15,2,8,2,15,1,14,5,15,1,8,11,10,3,8,13,7,1,15,1,8,3,15,3,8,4,15,1,8,48,10,22,8,2,10,47,8,2,18,1,8,2,10,1,4,3,19,1,4,6,10,12,8,2,10,2,8,33,10,9,8,1,10,85,8,5,10,4,8,3,10,309,8,3,7,2,8,4,7,1,8,3,15,4,8,5,18,1,14,1,18,2,8,1,10,7,18,4,10,2,9,1,18,1,4,43,19,6,4,2,10,95,8,2,10,141,8,2,10,24,18,2,10,18,18,2,10,14,18,2,8,14,10,11,8,6,10,13,4,6,19,6,4,45,19,2,4,7,19,14,4,2,19,10,4,94,19,6,4,10,10,71,8,3,10,14,18,1,10,1,4,1,19,11,4,2,10,8,4,2,19,5,4,7,19,5,4,3,10,8,8,1,10,15,4,3,19,4,4,285,},
{4,718,19,6,4,1,18,1,8,20,10,1,8,9,10,1,8,12,10,2,18,1,4,10,10,3,18,2,8,2,10,3,8,2,10,3,18,1,3,1,18,1,4,4,3,6,18,2,16,2,18,1,10,3,18,1,3,4,18,1,10,1,18,1,10,1,18,2,3,2,18,1,10,2,18,1,3,1,18,2,3,1,18,1,10,2,18,5,4,5,10,10,8,2,10,55,8,1,10,3,8,2,18,3,8,9,10,4,8,1,18,5,10,1,18,1,10,7,18,2,10,6,4,4,18,1,3,1,16,1,3,2,18,1,10,3,8,1,10,15,18,1,3,1,16,6,18,1,8,1,18,1,3,2,8,2,3,2,8,2,3,1,16,1,3,3,14,1,18,1,9,1,10,2,8,1,18,1,8,2,10,38,8,22,10,1,8,33,18,4,14,4,18,4,14,1,18,2,8,21,18,1,8,9,18,1,15,1,14,2,15,12,8,6,18,8,15,1,14,3,15,2,14,2,15,1,18,6,8,9,15,1,14,1,18,3,15,1,14,2,15,6,18,5,15,3,18,1,8,1,18,2,15,1,18,1,8,4,15,1,8,5,15,1,14,1,15,2,14,6,15,1,8,11,10,5,8,11,15,1,8,3,15,2,14,1,15,1,8,36,18,4,8,9,18,2,8,2,10,15,8,3,10,54,8,2,10,3,4,2,19,6,4,2,10,12,8,37,10,8,8,3,10,84,8,5,10,4,8,3,10,310,8,3,7,3,8,11,10,3,8,1,18,1,14,1,3,2,18,1,8,1,10,4,18,6,10,2,8,1,10,1,4,43,19,7,4,1,10,95,18,1,8,1,10,141,8,1,10,25,18,2,10,19,18,1,10,15,18,1,8,15,10,1,8,1,10,2,8,1,10,5,8,6,10,13,4,6,19,6,4,29,19,7,4,4,19,8,4,6,19,14,4,2,19,12,4,91,19,7,4,10,10,70,8,4,10,14,18,1,10,1,4,1,19,10,4,3,10,7,4,3,19,5,4,7,19,5,4,3,10,7,8,2,10,15,4,3,19,4,4,285,},
{4,718,19,6,4,2,8,16,18,2,9,1,8,1,10,2,8,8,10,1,8,12,10,1,18,2,4,10,18,1,10,2,9,1,18,1,8,2,10,3,8,2,10,3,18,3,4,4,3,2,16,3,3,1,18,2,3,2,4,3,18,1,3,1,16,4,3,1,10,2,18,1,10,2,18,1,8,1,10,3,18,1,3,1,18,2,3,1,18,1,8,1,10,1,18,5,4,5,10,10,8,2,10,52,8,1,10,3,8,5,18,3,8,1,10,1,8,7,10,3,8,2,18,3,10,2,18,3,10,14,4,4,3,4,18,1,10,1,8,1,18,3,8,1,10,14,8,1,14,1,16,5,3,1,18,1,10,1,18,1,3,1,16,1,14,1,18,1,3,2,8,1,18,1,3,1,16,1,3,1,14,2,18,1,8,1,10,4,8,2,10,5,8,2,10,33,8,21,10,2,8,31,18,6,14,3,18,2,15,1,14,2,15,1,18,1,8,8,18,1,8,11,18,2,8,9,18,1,15,1,14,2,15,11,8,7,18,8,15,1,14,4,15,1,14,3,15,1,18,6,8,8,15,1,14,1,15,1,18,2,15,1,14,2,15,2,14,4,15,1,18,8,8,1,18,2,15,2,8,2,15,4,8,3,15,1,14,9,15,3,8,10,10,6,8,8,15,4,8,2,15,1,14,3,15,1,8,2,18,1,15,1,8,7,18,2,8,19,18,8,8,6,18,3,8,2,10,16,8,3,10,58,18,1,4,2,19,6,4,2,10,1,18,2,10,9,8,3,10,2,8,32,10,8,8,3,10,84,8,5,10,4,8,2,10,312,8,2,7,5,8,8,10,4,8,1,18,2,3,2,18,1,8,1,10,4,18,7,10,1,8,1,10,1,4,43,19,7,4,1,10,95,8,1,10,169,18,1,10,2,18,2,10,33,8,17,10,1,8,13,10,6,18,3,10,3,4,3,19,9,4,28,19,20,4,6,19,14,4,2,19,14,4,88,19,8,4,10,10,69,8,5,10,16,4,1,19,10,4,3,10,6,4,2,19,6,4,8,19,5,4,3,10,7,8,3,10,14,4,4,19,4,4,284,},
{4,718,19,6,4,2,10,1,8,12,10,2,8,1,18,2,9,1,8,1,10,2,8,18,9,2,10,2,18,1,4,12,18,3,10,2,8,2,10,2,8,2,10,3,18,3,4,3,18,1,3,1,16,5,3,1,18,1,3,1,18,1,4,3,3,1,16,5,3,1,10,9,8,1,18,1,3,1,8,1,10,1,18,2,9,1,10,1,18,4,4,6,10,11,8,1,10,54,8,1,10,1,8,5,18,3,10,4,8,4,10,2,8,4,18,3,10,16,18,2,10,1,4,3,18,1,3,3,18,1,10,2,3,3,18,1,10,11,8,3,10,1,9,1,8,1,14,1,3,1,16,3,3,1,10,2,8,1,16,2,3,1,18,1,14,2,18,1,14,1,3,3,14,1,18,1,9,2,10,3,9,1,8,2,10,4,8,1,18,2,10,30,8,2,10,2,8,20,10,1,8,32,18,7,14,7,15,1,18,1,8,19,18,4,8,7,18,1,15,1,14,3,15,12,8,3,18,10,15,2,14,8,15,3,18,4,8,8,14,2,15,1,18,2,15,1,14,2,15,2,14,5,18,2,8,3,18,5,15,1,14,1,15,3,14,3,15,1,8,2,15,1,14,8,15,6,8,7,15,1,8,2,10,5,8,7,15,1,14,2,15,4,14,4,15,2,18,1,15,3,8,4,18,5,8,1,18,5,8,11,18,17,8,2,10,18,8,2,10,17,8,1,10,39,8,1,18,1,4,2,19,6,4,3,18,1,10,4,18,2,10,3,8,4,10,3,8,31,10,7,8,3,9,1,10,85,8,3,10,320,8,1,7,1,14,3,7,2,8,8,10,4,8,1,18,5,10,4,18,6,10,2,8,1,10,1,4,43,19,7,4,2,10,267,18,2,10,33,8,8,10,6,8,3,10,4,8,5,10,1,8,4,10,6,18,3,10,2,4,3,19,10,4,28,19,20,4,18,19,2,4,2,19,14,4,88,19,8,4,11,10,68,8,4,10,6,8,1,10,6,8,1,10,2,4,2,19,9,4,3,10,7,4,1,19,7,4,9,19,4,4,2,10,7,8,4,10,14,4,4,19,4,4,284,},
{4,718,19,6,4,3,10,1,8,10,10,3,8,1,9,1,18,1,9,1,8,21,10,1,4,6,19,7,4,6,10,2,8,6,10,3,18,2,4,4,3,2,16,4,3,4,4,3,18,1,3,1,16,3,3,2,18,2,10,8,8,1,18,2,10,6,4,10,10,67,8,1,9,1,18,3,8,1,9,2,8,1,10,8,8,7,10,10,18,1,10,1,18,2,10,5,18,1,10,2,18,3,3,1,18,2,10,2,18,1,3,1,16,1,3,1,18,1,10,13,8,2,10,3,8,1,14,1,3,2,18,1,10,2,8,1,16,2,3,1,18,2,14,1,3,5,14,1,8,1,10,1,9,1,8,1,18,5,8,1,10,3,8,1,18,2,8,1,10,28,8,3,10,3,8,49,18,11,14,6,15,1,18,1,8,18,18,6,8,5,18,1,15,2,14,3,15,11,18,1,8,2,15,2,18,1,15,4,18,4,15,2,14,8,15,3,18,5,8,6,18,1,14,2,15,1,18,2,15,1,14,2,15,1,14,6,18,1,8,5,18,3,15,2,14,8,15,2,14,6,15,11,8,5,15,1,8,2,10,4,8,4,18,4,14,4,15,3,14,4,15,7,18,8,8,1,18,6,8,11,18,10,14,3,18,2,8,2,10,37,8,1,10,40,4,4,19,6,4,4,10,4,18,2,10,2,8,2,10,6,8,5,10,1,8,26,10,6,8,2,10,1,18,1,4,5,10,234,18,2,10,168,8,1,14,1,17,2,6,1,7,2,8,7,10,6,8,3,18,3,10,9,8,2,10,1,4,44,19,6,4,3,10,266,18,2,10,27,18,1,10,5,8,7,10,7,8,3,10,11,8,1,18,1,8,1,10,8,4,7,19,9,4,25,19,23,4,26,19,10,4,12,19,3,4,72,19,9,4,13,10,65,8,3,10,8,8,1,10,5,8,2,10,2,4,2,19,9,4,2,10,7,4,2,19,6,4,15,18,1,8,1,10,7,8,3,10,14,4,3,19,5,4,284,},
{4,718,19,7,4,3,8,10,10,3,8,24,10,1,4,6,19,8,4,6,10,2,8,2,18,2,8,1,10,3,8,1,18,2,4,4,18,1,3,6,16,1,3,1,18,1,4,3,18,1,16,3,3,1,18,5,10,7,8,1,18,1,8,1,10,2,18,1,10,3,4,10,10,23,8,2,10,42,8,1,18,4,8,3,10,9,8,3,18,2,8,1,10,7,8,1,3,2,10,2,18,3,10,8,18,1,3,3,18,4,3,4,10,15,8,2,10,4,8,2,10,3,18,1,16,2,3,1,18,3,3,2,14,2,3,1,14,1,18,1,8,1,18,2,14,2,15,1,14,2,18,1,10,4,18,2,8,1,10,22,8,1,10,3,8,53,18,15,15,1,14,6,15,1,18,3,8,14,18,2,15,3,18,3,8,4,18,1,15,1,14,7,15,2,14,4,15,6,14,1,15,10,14,8,15,4,18,9,8,2,18,1,14,2,15,1,18,2,15,1,14,1,15,2,14,5,15,1,18,1,8,5,18,2,15,3,14,7,15,3,14,5,15,9,14,1,15,3,8,4,15,2,8,7,18,2,15,1,14,6,15,4,14,3,15,9,18,7,8,1,18,6,8,9,18,1,8,1,18,10,14,3,18,1,8,2,10,79,4,4,19,6,4,4,10,5,18,1,10,1,8,1,18,1,8,1,10,6,8,5,10,1,8,2,10,2,8,23,10,5,8,1,10,1,18,1,4,7,10,67,8,1,10,165,18,2,10,168,8,1,7,1,14,1,17,2,6,1,7,3,8,6,10,8,18,5,10,6,8,3,10,1,4,44,19,6,4,3,10,255,8,1,10,10,18,3,10,9,18,2,10,14,18,4,10,2,8,6,10,9,8,4,10,10,8,1,18,2,10,8,4,2,19,14,4,24,19,24,4,6,10,12,4,9,19,9,4,12,19,5,4,67,19,11,4,15,10,64,8,1,10,10,8,1,10,5,8,3,4,2,19,9,4,3,8,1,10,3,4,5,19,6,4,15,10,1,8,1,10,2,8,1,10,4,8,4,10,10,8,1,10,2,4,3,19,5,4,284,},
{4,718,19,8,4,2,8,10,10,3,8,23,10,2,4,6,19,12,4,2,10,3,9,1,18,2,8,1,10,3,18,3,4,5,18,1,3,2,18,1,9,1,3,1,16,1,3,1,4,4,18,1,16,3,3,1,10,2,9,1,18,2,10,8,18,1,8,1,10,1,18,1,10,4,4,6,10,2,18,1,10,24,8,2,10,42,8,1,18,3,9,1,8,2,10,2,8,4,10,3,8,7,10,3,18,1,10,3,3,1,16,2,18,1,10,2,18,2,10,8,8,1,18,1,3,8,18,2,10,2,18,1,10,6,18,2,10,4,8,3,10,8,3,1,16,3,3,1,18,1,8,1,14,2,18,1,14,1,3,2,14,1,18,1,14,3,15,1,14,2,3,2,8,1,10,4,8,3,10,21,8,1,10,3,8,52,18,1,8,1,18,13,15,2,14,7,15,2,18,1,15,6,8,5,15,1,8,1,18,2,15,6,18,1,8,3,18,1,15,1,14,16,15,4,14,1,15,7,14,5,15,2,14,3,15,14,18,3,14,3,18,3,15,2,18,1,15,1,14,3,15,1,18,1,8,5,18,2,15,4,14,6,15,1,8,2,15,1,14,5,15,1,18,1,8,1,18,1,15,4,14,4,15,1,18,1,8,2,18,1,15,2,18,8,15,1,14,6,15,15,14,2,15,2,14,2,15,1,18,1,8,3,18,2,14,2,18,1,8,7,18,8,15,2,18,4,14,2,18,1,8,2,10,78,4,8,19,5,4,4,10,5,18,1,10,1,18,1,9,1,10,6,8,5,10,1,8,1,10,3,8,23,10,5,8,2,10,1,4,7,10,403,8,2,14,2,17,2,14,2,7,1,8,7,10,7,18,8,10,2,8,4,10,1,4,44,19,6,4,3,10,268,18,2,10,8,18,2,10,13,18,2,10,1,18,4,8,7,10,8,8,4,10,4,8,3,10,2,8,2,18,2,10,8,4,2,19,13,4,25,19,9,4,21,10,12,4,13,19,5,4,12,19,9,4,62,19,10,4,4,19,5,4,8,10,84,4,2,19,8,4,4,8,1,10,3,4,1,19,9,4,16,10,1,8,1,10,2,8,1,10,4,8,4,10,13,4,3,19,5,4,284,},
{4,719,19,7,4,3,18,3,8,29,10,1,8,2,10,2,4,6,19,12,4,2,10,1,8,2,9,1,18,2,10,5,18,1,4,7,18,3,10,1,18,1,3,2,4,4,3,1,16,3,3,2,18,2,3,1,18,1,10,8,18,1,10,2,18,1,10,4,4,6,18,3,9,1,10,16,8,2,10,5,8,1,18,2,10,42,8,5,10,3,8,15,10,1,8,1,18,1,10,3,3,1,16,2,3,1,10,7,18,2,10,3,9,1,18,1,3,6,18,2,10,4,18,1,10,6,18,2,10,5,8,2,10,7,18,1,16,4,3,1,18,1,10,1,8,1,18,2,14,2,3,4,14,1,18,1,8,1,18,1,15,1,3,2,18,1,10,5,8,3,10,20,8,1,10,2,8,53,18,7,15,1,18,3,15,6,14,9,15,16,14,4,15,2,18,1,8,3,18,1,15,1,14,16,15,3,14,2,15,5,14,7,15,2,14,2,15,11,14,4,15,1,18,1,15,1,14,2,15,1,18,1,8,1,18,4,15,1,14,3,15,1,18,1,8,4,18,2,15,6,14,4,15,1,8,4,15,1,14,4,15,1,18,1,8,1,18,1,15,2,14,7,15,1,18,2,15,3,18,3,14,3,15,1,14,7,15,8,8,2,15,6,14,6,15,1,18,1,8,3,18,2,14,2,18,2,8,2,18,12,15,1,18,7,8,1,10,77,8,2,9,1,4,8,19,6,4,3,10,6,18,2,10,7,8,8,10,2,8,24,10,5,8,1,10,1,4,7,10,101,8,2,10,301,8,2,7,1,14,4,7,1,8,7,10,2,4,1,18,3,4,2,18,7,4,1,10,2,8,2,9,1,18,1,4,46,19,5,4,3,10,259,18,1,10,7,18,3,10,7,18,2,10,13,18,2,10,2,18,3,10,1,8,1,10,1,8,4,10,8,8,3,10,4,8,9,10,8,4,3,19,9,4,1,19,1,4,27,19,8,4,5,10,2,4,9,10,19,4,5,10,4,4,20,19,9,4,62,19,9,4,4,19,6,4,8,10,11,8,1,10,50,8,3,10,18,4,2,19,9,4,3,18,1,8,1,10,3,4,1,19,7,4,18,10,1,8,1,10,2,8,1,10,2,4,1,10,1,9,4,8,1,10,12,4,3,19,5,4,284,},
{4,720,19,6,4,4,18,2,8,7,9,2,18,1,8,18,10,2,8,1,10,3,4,6,19,12,4,2,10,1,18,1,8,1,18,3,10,5,18,1,4,7,18,1,3,2,18,3,4,3,18,1,3,1,16,7,3,2,18,1,9,1,10,6,8,1,18,1,10,5,18,2,4,6,18,3,10,16,8,1,18,1,8,1,10,5,18,3,8,1,10,39,18,1,10,1,8,3,10,4,8,15,18,1,8,1,10,5,3,1,16,2,3,1,10,8,18,3,8,1,18,1,3,3,18,1,10,3,18,3,10,7,18,1,10,3,18,1,10,13,8,1,3,1,16,5,14,1,10,2,8,1,14,1,3,1,14,2,3,3,14,1,8,1,10,2,8,1,18,1,14,1,18,1,10,5,8,1,18,2,10,20,8,1,10,1,8,54,18,6,15,1,14,1,15,1,18,1,15,2,14,1,15,4,14,13,15,12,14,4,15,2,18,1,8,3,15,2,14,18,15,8,14,8,15,1,14,2,15,5,14,4,15,1,14,6,18,2,14,2,15,1,18,1,8,2,18,2,8,1,18,1,14,2,15,1,18,1,8,4,18,2,15,8,14,3,8,2,10,2,8,2,15,2,14,3,15,1,18,1,15,3,14,7,15,6,18,3,14,11,15,7,8,4,15,5,14,6,18,2,8,2,18,2,15,1,14,2,15,1,18,4,15,7,18,4,15,1,18,5,8,2,10,78,8,2,9,1,4,9,19,5,4,3,10,7,18,1,10,7,8,8,10,1,8,26,10,4,8,1,9,1,4,2,19,3,4,3,10,82,8,2,10,15,8,3,10,303,8,1,7,1,14,3,7,1,8,6,10,1,4,18,18,1,10,1,18,1,4,50,19,4,4,2,10,26,8,1,10,231,18,1,10,7,18,4,10,6,18,2,10,13,18,2,10,2,18,2,10,2,8,6,10,7,8,2,10,6,8,2,18,2,8,2,10,7,4,6,19,9,4,30,19,7,4,3,10,46,4,4,10,9,4,3,19,9,4,62,19,8,4,5,19,12,4,2,10,60,8,5,10,16,4,4,19,9,4,2,18,1,8,1,10,3,4,1,19,8,4,18,10,1,8,1,10,4,4,5,18,2,10,12,8,1,4,3,19,5,4,284,},
{4,720,19,6,4,4,18,2,8,6,18,4,8,6,10,3,8,9,10,2,8,2,10,2,4,6,19,12,4,2,10,4,18,1,9,1,10,6,4,7,18,1,3,2,18,2,4,4,3,1,16,9,3,4,18,1,8,1,10,6,18,2,10,2,18,2,4,5,18,3,9,1,10,16,8,1,18,1,8,1,10,5,18,4,8,1,10,36,18,4,8,2,10,3,8,16,18,3,10,2,18,1,10,1,8,1,3,1,16,2,3,1,8,2,10,3,18,1,10,3,18,4,3,2,18,1,9,1,10,4,18,2,10,3,18,1,10,21,18,1,3,1,16,5,3,1,10,3,3,2,18,2,3,1,16,1,3,1,14,1,10,4,9,1,18,1,8,2,10,5,8,2,10,19,8,57,18,6,14,3,15,2,14,3,15,3,14,15,15,10,14,3,15,2,18,1,8,4,15,2,14,19,15,6,14,13,15,3,14,12,15,1,18,1,14,1,15,1,18,1,8,7,18,1,15,1,18,2,8,3,18,2,15,5,18,2,15,5,8,2,10,2,8,2,15,3,14,2,15,3,14,10,15,4,18,1,8,2,18,1,15,1,14,10,15,7,8,3,15,5,14,6,15,1,18,5,15,10,14,6,15,2,18,1,15,2,18,2,14,1,18,2,8,1,10,12,8,1,10,60,8,2,10,5,8,1,9,1,4,9,19,5,4,2,10,17,8,35,10,3,8,1,9,1,4,1,19,5,4,3,10,81,8,2,10,15,8,3,10,304,8,2,7,1,14,1,7,1,8,6,18,1,4,2,19,5,4,64,19,5,4,1,10,23,8,3,10,231,18,2,10,3,18,1,10,4,18,4,10,21,18,4,10,3,8,4,10,8,8,2,10,6,8,2,18,3,8,1,10,7,4,3,19,10,4,1,19,2,4,30,19,7,4,3,10,60,4,4,19,7,4,62,19,8,4,5,19,12,4,2,10,44,8,3,10,10,8,8,10,3,18,1,10,9,4,4,19,2,4,1,19,9,4,2,18,1,10,4,4,1,19,8,4,18,10,1,8,2,10,2,4,9,9,1,10,10,18,1,4,3,19,5,4,284,},
{4,720,19,9,4,1,10,5,8,3,18,4,8,6,10,3,8,9,10,2,8,2,10,2,4,2,19,16,4,2,18,5,10,7,4,6,18,1,3,4,18,1,4,4,3,1,16,9,3,5,18,1,10,6,18,2,10,2,18,2,10,4,18,3,9,1,10,17,8,2,10,5,8,1,18,4,8,6,10,31,18,4,8,2,10,2,8,5,10,5,8,7,18,3,10,4,18,1,3,1,16,2,3,1,18,2,8,1,10,2,18,2,10,2,8,1,18,2,3,3,18,2,10,8,18,2,10,18,8,1,18,2,14,1,3,1,16,1,3,2,16,2,3,1,18,1,10,2,3,2,8,1,18,1,3,1,16,1,3,1,14,1,10,6,8,1,18,2,8,1,10,3,8,2,10,19,8,58,18,3,15,1,18,1,15,1,14,2,15,1,14,5,15,2,14,17,15,8,14,2,15,2,18,2,8,4,15,2,14,20,15,3,14,16,15,1,14,13,15,1,18,1,15,2,8,9,15,2,18,4,15,7,18,3,15,3,14,1,15,1,8,4,18,1,15,3,14,2,15,3,14,10,15,4,18,1,8,2,18,1,15,2,14,10,15,3,14,2,15,1,8,3,15,1,14,3,15,1,14,6,15,2,18,2,15,10,18,1,15,1,14,7,15,1,18,1,15,3,18,4,8,1,10,12,8,1,10,69,4,1,19,5,4,4,19,3,4,3,10,3,18,2,10,14,8,33,10,5,4,1,19,6,4,2,10,98,8,2,10,306,8,2,7,2,8,5,10,1,4,2,19,6,4,63,19,6,4,1,10,21,8,4,10,65,8,1,10,166,18,2,10,3,18,1,10,4,18,4,10,22,18,3,10,3,8,3,10,8,8,3,10,6,8,3,18,3,10,3,4,6,19,6,4,38,19,7,4,3,10,60,4,5,19,1,4,1,19,4,4,62,19,8,4,5,19,11,4,3,10,45,8,2,10,8,8,9,10,13,4,2,19,1,4,2,19,12,4,2,10,5,4,1,19,7,4,19,10,1,8,1,10,3,4,2,19,5,4,2,10,4,8,1,10,5,4,5,19,5,4,284,},
{4,721,19,8,4,2,10,5,8,2,18,3,9,1,8,5,10,3,8,10,10,2,8,2,10,2,4,2,19,16,4,3,18,4,10,7,4,7,18,2,3,3,4,3,18,1,16,3,3,3,16,4,3,3,16,1,3,1,18,1,10,1,18,1,10,6,8,2,10,7,18,1,10,26,18,4,8,1,10,1,8,2,18,3,8,1,10,31,18,3,8,3,10,1,8,5,10,5,8,1,9,5,8,1,10,7,18,1,3,3,18,3,10,4,18,1,10,3,8,1,18,1,3,3,18,1,8,2,10,3,18,1,10,8,8,1,18,2,10,11,8,1,18,2,8,1,14,1,3,2,8,1,18,1,16,3,14,1,10,2,18,1,14,1,10,1,8,1,3,1,16,1,3,1,18,1,10,6,18,4,10,23,8,60,18,3,15,2,14,8,15,3,14,3,15,1,14,15,15,9,18,2,8,4,15,2,14,53,15,1,18,3,8,10,18,1,15,5,14,3,15,2,18,3,15,3,14,3,15,1,8,1,18,1,15,1,14,2,15,2,14,2,15,3,14,8,15,2,14,2,15,2,18,1,8,3,15,2,14,11,15,2,14,2,15,1,8,2,18,1,15,1,14,3,15,1,14,6,15,4,14,3,15,1,18,3,15,2,18,3,15,1,14,7,15,4,18,3,8,3,10,5,8,2,10,62,18,5,10,6,4,2,19,5,4,10,10,2,18,2,10,16,8,32,10,5,4,1,19,6,4,2,10,98,8,2,10,158,18,4,10,146,8,7,10,1,4,2,19,6,4,62,19,7,4,1,10,19,8,6,10,65,8,2,10,164,18,2,10,4,18,2,10,29,18,2,10,4,8,2,10,9,8,3,10,6,8,4,18,1,10,3,4,6,19,7,4,38,19,8,4,3,10,6,4,2,10,52,4,7,19,2,4,63,19,9,4,7,19,8,4,3,10,55,8,5,10,8,4,1,18,2,4,2,10,2,4,1,18,1,4,2,19,15,4,2,10,5,4,1,19,7,4,19,18,2,10,3,4,1,19,6,4,2,10,3,18,3,4,1,10,2,4,7,19,3,4,285,},
{4,724,19,6,4,2,10,3,8,3,9,1,18,2,9,1,10,2,8,3,10,3,8,10,10,2,8,3,10,1,4,2,19,8,4,2,19,7,4,3,18,1,10,8,18,1,4,8,18,1,3,3,18,1,10,1,18,1,3,1,16,2,3,1,10,1,18,2,3,4,18,2,3,4,10,1,18,1,10,2,18,1,10,2,18,1,3,2,18,3,10,11,18,2,10,17,18,1,14,1,3,1,18,2,10,3,8,1,18,4,10,30,8,2,10,1,8,11,10,4,8,1,18,4,9,1,8,1,10,5,18,1,10,1,18,1,3,3,18,1,10,11,3,1,16,3,18,1,10,7,18,2,10,5,8,1,18,2,10,2,18,1,10,6,18,3,8,1,10,2,8,1,3,2,10,1,18,1,16,3,3,1,9,1,10,4,8,1,3,3,9,1,10,2,9,1,18,1,8,2,18,1,14,2,18,1,10,21,8,14,18,2,8,46,18,3,15,2,14,8,15,7,14,19,15,5,18,2,8,4,15,2,14,53,15,1,8,1,18,1,8,11,18,1,15,4,14,4,15,2,18,1,8,2,18,2,15,1,14,10,15,1,14,1,15,4,14,7,15,7,18,5,15,1,14,11,15,2,14,2,15,1,8,2,18,1,14,4,15,2,14,5,15,2,14,5,15,1,18,3,15,2,8,2,18,1,15,2,14,6,15,4,18,2,8,4,10,5,8,2,10,31,8,1,10,15,8,4,10,11,18,5,10,1,8,1,10,2,18,3,4,1,19,7,4,7,10,3,18,2,10,13,18,1,8,1,10,1,8,33,10,4,4,1,19,6,4,2,10,70,8,1,10,26,8,3,10,158,18,1,10,3,18,1,10,145,8,6,10,1,4,3,19,6,4,62,19,7,4,1,10,19,8,3,10,39,8,1,10,29,8,1,10,161,18,1,10,1,18,3,10,4,18,2,10,35,8,1,10,19,8,4,18,2,10,1,4,5,19,9,4,38,19,9,4,17,10,49,4,68,19,9,4,8,19,7,4,3,10,55,8,3,10,3,4,17,19,7,4,5,19,4,4,2,10,5,4,1,19,6,4,21,18,1,10,3,4,1,19,6,4,13,19,3,4,290,},
{4,724,19,6,4,2,10,3,8,12,10,3,8,7,10,1,8,2,10,1,8,4,10,1,4,2,19,8,4,2,19,7,4,3,18,1,10,9,4,8,10,1,18,1,3,2,18,3,3,3,10,3,18,5,10,1,18,2,3,2,18,1,10,1,18,1,10,1,18,2,10,1,18,1,3,4,18,2,10,10,8,1,18,2,10,16,8,1,18,1,14,1,18,2,10,4,8,1,18,3,8,2,10,15,8,2,10,13,8,1,10,1,8,11,10,4,9,1,18,4,9,1,8,1,10,5,18,1,10,1,8,1,18,1,3,1,18,2,10,3,18,2,10,6,3,1,16,2,3,1,18,1,10,6,8,1,18,2,10,5,18,3,10,1,18,2,10,5,18,1,14,2,18,2,10,3,18,2,10,2,16,3,14,1,10,5,8,1,3,2,15,1,10,3,18,1,14,1,18,1,8,1,18,3,8,1,10,22,8,60,18,7,15,2,14,5,15,8,14,14,15,9,18,2,8,4,15,2,14,53,15,1,18,2,8,11,15,1,14,1,15,1,14,6,15,1,18,1,8,1,18,3,15,2,14,10,15,5,14,8,15,6,18,2,15,5,14,7,15,2,14,2,15,2,14,2,15,1,8,1,15,2,14,4,15,2,14,12,18,2,8,2,18,2,8,3,18,1,15,2,14,4,15,2,18,1,15,2,8,6,10,4,8,4,10,19,8,2,10,5,8,8,10,11,8,6,10,9,18,7,8,1,10,2,18,3,4,1,19,7,4,5,10,1,18,1,10,18,18,1,8,1,10,1,8,34,10,3,4,1,19,6,4,2,10,98,8,1,10,95,18,1,10,21,18,2,10,28,18,2,10,10,18,1,10,4,18,1,10,145,8,5,18,1,4,3,19,6,4,62,19,7,4,1,10,91,8,1,10,85,18,3,10,73,18,1,10,1,18,3,10,40,8,2,10,8,8,3,10,3,8,6,10,2,8,1,10,3,4,1,19,1,4,2,19,10,4,38,19,12,4,5,19,5,4,8,10,46,4,67,19,9,4,8,19,7,4,3,10,15,8,2,10,37,8,4,10,2,4,12,19,13,4,5,19,5,4,1,18,1,10,4,4,1,19,6,4,26,19,6,4,10,19,6,4,290,},
{4,724,19,6,4,2,10,1,8,1,10,1,8,2,10,5,8,4,10,4,8,1,10,1,8,1,10,2,8,2,10,3,8,2,10,1,8,1,10,2,4,2,19,8,4,3,19,7,4,2,18,1,9,1,10,9,4,7,10,5,18,1,4,6,18,1,3,2,18,1,10,4,4,6,18,3,10,1,18,1,3,1,18,4,8,1,10,8,18,3,9,1,10,17,18,1,3,1,18,1,8,1,10,9,8,3,10,13,8,1,18,2,10,3,18,1,10,7,18,1,10,1,8,1,18,1,8,7,10,1,8,4,10,2,8,1,9,1,18,4,9,1,10,9,18,1,3,2,18,1,10,3,18,2,10,2,18,2,10,1,8,1,3,3,18,1,10,6,8,1,18,1,9,1,10,6,18,3,10,7,8,1,18,5,10,7,3,3,8,1,10,3,8,2,18,1,14,1,18,2,9,2,18,1,14,1,3,1,18,1,8,4,10,27,8,56,18,1,15,2,18,1,8,4,15,1,14,5,15,2,14,5,15,2,14,10,15,9,18,1,15,3,18,1,8,4,15,4,14,47,15,1,14,3,15,1,18,5,8,7,18,1,14,7,15,1,14,2,18,1,8,1,18,1,15,3,14,11,15,3,14,14,15,6,14,7,15,1,14,2,15,1,8,1,15,2,8,1,15,1,14,2,15,1,8,1,14,3,15,2,18,4,14,10,15,2,18,1,8,6,18,2,15,2,14,2,15,2,18,5,8,4,10,5,8,6,10,16,8,2,18,1,8,2,10,4,8,2,18,1,8,3,10,13,8,7,10,8,18,7,8,1,10,4,4,2,19,7,4,3,18,1,10,33,8,26,9,1,10,1,4,1,19,6,4,2,10,82,8,2,10,57,18,1,10,52,18,2,10,4,18,3,10,6,18,2,9,1,10,4,18,1,9,1,10,19,18,2,10,7,18,2,10,9,18,2,10,3,18,1,10,147,8,3,18,1,4,4,19,6,4,62,19,7,4,1,10,177,18,5,10,37,18,2,10,78,8,2,10,5,8,10,10,2,8,2,10,5,4,2,19,12,4,39,19,26,4,4,10,46,4,67,19,8,4,9,19,7,4,3,10,15,8,3,10,36,8,3,18,1,4,5,19,3,4,3,19,15,4,6,19,5,4,1,18,1,10,4,4,1,19,6,4,27,19,5,4,9,19,7,4,290,},
{4,725,19,5,4,2,10,1,9,1,10,32,4,2,19,8,4,2,19,8,4,2,18,1,10,11,4,6,10,5,18,1,4,6,3,3,10,1,18,2,10,2,4,6,10,4,18,2,10,3,8,1,10,7,18,5,10,18,18,2,8,1,10,15,8,2,10,5,8,5,18,2,10,3,18,1,10,6,18,2,10,1,8,1,18,1,8,14,9,1,18,3,9,2,8,1,10,10,18,1,3,1,18,1,10,3,18,2,10,5,18,3,10,8,8,2,10,7,18,3,10,7,8,1,18,5,8,1,10,6,8,1,18,1,8,1,10,4,18,8,15,1,14,1,18,1,8,1,10,32,8,54,18,2,15,2,18,1,8,5,15,1,14,4,15,2,14,5,15,3,14,9,15,5,8,1,15,9,8,2,15,6,14,46,15,9,18,2,8,6,18,1,15,1,14,5,15,1,18,1,14,2,18,2,14,14,15,3,14,15,15,6,14,7,15,4,8,1,15,2,8,1,15,1,14,2,8,2,14,3,18,6,15,1,14,8,15,2,18,2,8,6,18,2,15,5,18,2,8,6,10,1,8,1,10,4,8,5,18,1,8,2,10,2,8,5,10,8,8,1,18,3,8,1,10,4,8,1,18,3,8,2,10,13,8,7,10,9,18,5,9,1,10,5,9,1,4,1,19,7,4,4,8,1,10,36,8,23,18,1,4,1,19,6,4,2,10,81,8,4,10,55,18,2,10,52,18,2,10,2,18,4,10,7,18,4,10,3,18,3,10,17,18,4,10,7,18,1,10,10,18,1,10,1,18,3,10,149,8,1,18,1,4,4,19,4,4,64,19,7,4,1,10,143,4,5,10,29,18,4,10,38,18,3,10,77,8,1,10,1,8,1,10,4,8,10,10,6,4,4,19,6,4,47,19,25,4,4,10,46,4,68,19,5,4,11,19,6,4,3,10,17,8,1,10,15,8,1,10,21,18,4,4,3,19,5,4,2,19,13,4,9,19,5,4,1,18,1,10,4,4,1,19,6,4,28,19,3,4,10,19,7,4,290,},
{4,726,19,5,4,2,18,1,8,1,10,31,4,1,19,5,4,6,19,8,4,2,10,14,18,2,4,1,10,4,18,3,4,5,3,3,10,2,18,1,10,3,4,6,10,8,8,2,10,6,18,5,8,1,10,18,8,1,18,1,10,16,8,2,18,1,8,1,10,2,8,1,18,2,8,2,10,1,8,1,10,2,18,1,10,8,18,2,8,2,10,1,8,13,9,1,18,4,9,1,8,1,10,5,9,1,10,5,18,3,10,9,8,1,10,5,18,3,9,1,18,1,10,4,8,1,9,1,10,3,8,1,18,3,10,9,8,1,18,3,8,1,10,6,8,1,18,2,10,5,18,6,14,1,18,1,8,1,9,1,8,1,10,4,8,2,10,26,8,55,18,5,8,2,15,2,14,5,15,2,14,4,15,3,14,10,15,15,8,1,15,3,14,1,15,3,14,46,15,8,18,3,8,6,18,3,15,1,14,3,15,4,14,16,15,3,14,14,15,6,14,8,15,5,14,1,15,3,14,1,15,1,8,2,15,3,18,1,8,2,18,4,15,2,14,1,15,5,18,3,8,7,18,2,15,5,18,2,8,9,10,3,8,8,10,1,8,7,10,7,8,2,18,1,8,2,10,3,8,3,18,1,8,2,10,30,18,6,8,1,10,5,4,2,19,6,4,4,9,1,8,2,10,34,8,23,10,1,4,1,19,6,4,2,10,81,8,2,10,57,18,2,10,4,18,1,10,47,18,1,10,3,18,3,10,7,9,1,18,10,10,17,18,5,10,17,18,4,10,150,8,1,18,2,4,56,19,5,4,10,19,7,4,1,10,139,4,15,10,65,18,4,10,76,8,1,10,6,8,9,10,5,4,5,19,6,4,55,19,18,4,8,10,39,4,5,19,1,4,81,19,6,4,2,10,56,18,2,4,3,19,7,4,2,19,10,4,11,19,5,4,2,10,5,4,1,19,7,4,40,19,7,4,290,},
{4,726,19,6,4,2,10,20,18,1,10,11,4,4,19,2,4,6,19,8,4,2,10,10,18,2,10,8,18,1,3,2,18,1,4,4,3,4,10,1,18,1,10,4,4,6,18,1,10,2,18,1,10,4,8,1,18,1,10,5,18,2,3,1,18,1,8,1,9,1,10,3,9,1,10,5,9,1,10,10,8,1,10,16,8,1,18,3,8,2,18,4,10,5,18,1,10,6,18,2,10,2,8,2,10,1,8,13,18,3,9,1,8,2,10,4,18,2,10,2,18,1,10,3,18,2,10,8,18,1,3,1,18,1,9,1,10,1,18,1,10,1,18,1,10,1,18,2,10,4,18,2,3,1,18,1,8,1,10,2,8,1,18,1,3,1,18,1,10,10,8,1,18,2,8,1,10,5,8,1,18,2,14,1,18,1,10,4,9,1,18,3,14,1,3,2,18,1,10,3,8,1,10,2,8,1,18,2,8,1,10,24,8,57,15,1,18,2,15,4,14,6,15,1,14,4,15,3,14,12,15,6,14,2,15,9,14,3,15,2,14,48,15,9,18,3,8,1,18,3,8,2,15,6,18,1,15,1,14,6,15,3,14,5,15,5,14,9,15,2,14,3,15,5,14,10,15,2,14,4,15,4,8,4,15,1,18,1,8,2,18,7,8,15,18,2,15,4,18,2,8,10,10,2,8,6,18,1,8,5,18,3,8,2,10,8,8,4,10,2,8,6,10,31,18,6,8,1,10,4,4,3,19,6,4,4,9,1,8,2,10,33,8,19,10,6,4,1,19,6,4,2,10,69,8,2,10,69,18,2,10,4,18,2,10,61,18,7,10,2,18,2,10,7,18,2,10,7,18,6,10,170,8,1,18,2,4,55,19,7,4,9,19,6,4,2,10,138,4,6,19,4,4,6,10,67,18,4,10,52,18,1,10,28,8,8,10,6,4,2,19,9,4,55,19,18,4,10,10,36,4,5,19,3,4,81,19,4,4,3,10,54,8,2,18,1,4,3,19,8,4,3,19,9,4,11,19,5,4,2,10,5,4,1,19,8,4,38,19,8,4,290,},
{4,726,19,6,4,2,10,3,8,1,10,15,18,2,10,11,4,12,19,8,4,2,10,9,18,3,10,8,18,1,3,3,4,4,3,1,16,1,3,2,10,1,18,1,10,1,18,1,10,2,4,4,18,3,10,2,18,2,10,1,18,1,10,1,18,2,10,3,8,1,18,4,10,5,8,1,18,1,10,16,8,1,10,16,8,1,18,9,10,20,8,2,10,2,8,4,10,2,8,2,18,3,9,1,8,1,10,6,18,1,10,2,18,1,10,3,8,2,10,7,18,1,3,3,18,1,10,1,18,1,10,2,18,1,10,1,4,3,18,2,3,4,18,1,10,2,8,1,18,1,3,2,8,1,10,9,8,3,10,5,18,1,14,1,18,1,3,3,8,1,10,4,8,1,18,1,3,4,14,1,10,2,8,2,10,2,18,3,8,1,10,23,8,58,15,5,14,7,15,2,14,3,15,4,14,13,15,5,14,2,15,3,14,3,15,2,14,4,15,2,14,50,15,2,14,5,15,7,8,2,15,6,18,1,15,1,14,5,15,4,14,4,15,5,14,8,15,5,14,1,15,5,14,8,15,1,14,2,15,2,14,4,15,4,8,4,15,2,8,2,18,5,8,16,18,4,15,2,18,3,8,14,18,2,8,2,18,2,8,4,18,2,8,3,10,9,8,11,10,29,8,2,18,6,8,2,10,4,4,3,19,5,4,3,10,1,8,3,10,28,8,23,10,7,4,1,19,5,4,3,10,68,8,3,10,69,18,2,10,69,18,3,10,4,18,2,10,6,18,4,10,7,18,4,10,171,8,1,18,1,4,4,19,4,4,46,19,10,4,8,19,5,4,3,10,138,4,5,19,10,4,1,10,2,18,1,10,64,18,5,10,51,18,2,10,5,18,4,10,18,8,8,10,6,4,2,19,8,4,59,19,2,4,13,19,7,4,3,10,36,4,2,19,6,4,80,19,5,4,3,10,53,8,2,18,1,4,3,19,8,4,5,19,8,4,10,19,7,4,1,10,5,4,1,19,8,4,39,19,6,4,291,},
{4,726,19,6,4,2,18,2,9,1,8,1,10,2,8,2,10,10,18,3,10,1,18,1,10,2,8,1,10,6,4,13,19,7,4,2,10,10,18,3,10,7,18,1,3,1,16,1,3,1,18,1,4,3,3,3,18,1,10,1,18,1,10,1,18,1,10,2,4,4,3,3,10,2,18,2,10,1,18,1,10,1,8,1,18,1,10,3,18,3,8,1,10,5,8,1,18,3,10,14,8,2,10,17,8,1,18,6,14,1,18,1,10,11,18,1,10,8,8,2,10,3,8,2,10,2,8,3,18,2,9,1,8,3,10,2,8,1,10,5,18,1,10,9,18,2,10,1,8,1,3,3,18,1,10,1,18,1,10,2,18,1,10,1,4,4,18,1,3,2,16,1,3,1,18,1,10,3,18,3,9,1,10,17,18,1,3,1,14,1,3,1,16,1,3,1,9,1,10,4,9,1,14,1,3,4,14,1,10,2,8,1,18,1,8,2,18,1,14,1,18,1,8,1,10,23,8,57,15,6,14,6,15,3,14,3,15,4,14,14,15,4,14,3,15,1,14,10,15,2,14,59,15,2,14,2,15,1,8,2,15,2,8,2,15,4,14,3,15,6,14,3,15,6,14,8,15,5,14,5,15,1,14,8,15,1,14,2,15,2,14,2,15,3,14,1,15,2,8,4,14,2,8,2,18,5,8,17,18,8,8,8,18,2,8,2,18,4,8,2,18,4,8,7,10,10,8,9,10,31,8,1,9,1,18,4,9,1,8,2,10,4,4,10,10,2,8,3,10,27,8,23,10,8,4,1,19,4,4,3,10,70,8,2,10,69,18,2,10,11,18,1,10,2,18,1,10,69,18,2,10,1,18,2,10,183,4,3,19,5,4,46,19,10,4,9,19,2,4,4,10,127,18,1,10,9,8,1,10,1,4,4,19,12,4,1,10,1,18,1,10,13,18,1,10,51,18,4,10,51,18,2,10,4,18,5,10,18,8,8,10,5,4,2,19,9,4,74,19,8,4,3,10,19,18,1,4,5,10,8,4,4,19,6,4,80,19,5,4,2,10,20,8,1,10,32,18,4,4,2,19,7,4,7,19,5,4,13,19,7,4,1,18,1,10,4,4,2,19,7,4,336,},
{4,726,19,6,4,3,18,1,9,1,10,10,18,2,10,3,18,3,10,1,18,2,10,1,8,1,10,4,18,1,9,1,4,14,19,6,4,2,10,3,8,1,10,7,18,3,10,4,9,1,18,1,10,1,3,1,16,2,3,1,18,1,10,2,18,1,3,1,18,1,10,7,18,2,10,1,18,1,16,2,3,1,18,1,10,3,18,2,10,5,8,1,18,2,8,1,10,6,18,2,3,1,18,1,10,14,8,2,10,2,8,2,10,14,8,1,18,5,14,1,18,1,10,11,18,2,10,7,8,2,10,6,8,13,10,12,18,1,10,2,18,3,10,1,18,3,10,2,18,1,9,1,18,2,10,1,4,5,18,1,3,1,16,1,3,1,18,1,10,1,9,1,10,2,18,2,10,2,18,2,10,14,18,1,3,1,18,1,3,3,10,5,8,1,3,1,16,1,3,3,18,1,10,2,8,1,18,1,8,1,18,1,14,2,18,1,8,1,10,22,8,57,15,3,14,2,15,2,14,5,15,4,14,3,15,4,14,14,15,4,14,14,15,2,14,64,8,6,15,4,14,2,15,4,8,2,15,1,14,3,15,6,14,8,15,4,14,18,15,7,14,1,15,2,8,4,14,2,18,6,8,19,18,7,8,19,18,2,8,8,10,10,8,8,10,32,8,2,18,4,9,1,8,1,10,8,4,2,10,1,4,3,9,1,10,3,8,2,10,2,8,1,10,23,8,23,10,9,4,7,10,142,18,2,10,4,18,2,10,5,18,6,10,10,18,1,10,57,18,3,10,184,4,2,19,7,4,43,19,14,4,11,10,29,8,2,10,109,4,3,19,14,4,2,18,2,10,64,18,4,10,51,18,2,10,4,18,5,10,18,8,8,10,4,4,4,19,8,4,74,19,8,4,40,19,6,4,79,19,6,4,2,10,20,8,2,10,14,8,4,10,11,4,7,19,7,4,26,19,7,4,1,18,1,8,1,10,3,4,2,19,7,4,336,},
{4,726,19,7,4,2,18,2,10,9,18,3,10,2,18,2,10,3,18,2,10,5,18,2,10,1,4,14,19,6,4,2,10,11,18,3,10,4,18,2,10,1,18,1,3,1,16,2,3,1,10,2,18,1,3,1,10,10,9,1,3,1,16,2,3,1,18,1,10,4,9,1,10,4,8,1,18,2,8,1,10,7,8,1,18,1,3,2,18,1,10,13,8,1,10,3,8,1,18,2,10,15,18,4,14,1,18,1,8,1,10,19,8,1,10,6,8,14,10,11,18,2,10,2,18,3,10,11,4,6,3,1,16,1,3,1,18,1,10,1,18,1,10,3,8,1,10,19,8,1,18,1,3,3,10,5,8,1,3,4,18,1,10,4,18,3,14,2,18,1,8,1,10,22,8,19,18,1,8,37,15,1,14,4,15,2,14,2,15,3,14,26,15,3,14,14,15,2,14,7,3,2,14,55,18,1,8,5,15,1,14,4,15,6,8,1,15,1,14,3,15,6,14,9,15,2,14,16,15,1,14,2,7,1,15,3,8,2,15,4,8,3,18,1,14,2,18,3,8,1,18,1,8,1,18,1,8,20,18,3,8,22,18,2,8,7,10,11,8,6,10,34,8,1,9,1,18,2,9,1,8,1,10,11,8,3,10,1,8,1,10,3,8,3,10,25,8,23,10,9,4,7,10,142,18,2,10,9,18,7,10,10,18,2,10,2,18,3,10,239,4,2,19,10,4,38,19,16,4,10,10,22,8,1,10,6,8,4,10,107,4,3,19,16,4,1,18,2,10,65,18,3,10,56,18,5,10,15,8,1,10,3,8,4,10,1,8,3,10,4,4,3,19,9,4,74,19,8,4,16,19,3,4,5,19,7,4,4,19,2,4,3,19,6,4,79,19,5,4,2,10,29,8,1,10,7,8,4,10,9,4,8,19,7,4,27,19,6,4,2,18,1,8,1,10,3,4,2,19,7,4,336,},
{4,728,19,5,4,1,10,4,9,1,10,8,18,2,10,6,18,1,3,1,18,1,10,5,18,2,10,1,4,14,19,6,4,2,10,5,9,1,18,6,10,4,18,1,10,1,18,2,10,2,3,3,18,1,10,2,18,1,3,1,10,1,18,1,10,8,18,1,3,1,16,2,3,1,18,1,9,1,10,2,18,2,10,2,8,1,18,4,10,9,18,4,10,17,8,1,18,1,14,1,18,1,10,14,8,1,18,2,14,2,18,1,8,1,10,2,8,2,10,12,8,1,18,1,8,1,10,5,8,16,10,6,18,5,10,5,18,1,10,1,18,1,10,2,18,1,10,2,18,3,3,1,18,1,4,5,18,1,3,1,16,1,3,2,10,5,18,2,10,14,8,1,10,5,18,1,3,2,18,1,10,4,8,1,3,3,18,1,8,1,10,4,8,2,18,1,14,2,18,1,8,1,10,22,8,19,18,1,8,36,15,3,14,1,15,2,14,5,15,1,14,44,15,2,14,52,15,2,14,6,15,1,14,2,15,1,18,1,8,5,18,1,14,3,15,3,14,3,15,3,14,3,15,4,14,4,15,1,14,6,15,2,14,13,15,2,7,8,8,4,15,1,8,3,18,2,14,2,18,2,8,5,18,1,8,44,18,2,8,9,10,9,8,5,10,36,8,4,10,13,8,4,10,2,8,4,10,4,8,1,10,2,8,2,10,16,8,22,10,9,4,8,10,153,18,3,10,1,18,2,10,11,18,2,10,3,9,1,18,1,10,239,4,3,19,9,4,38,19,9,4,1,19,6,4,10,10,21,8,3,10,4,8,3,10,109,4,3,19,16,4,1,10,1,18,1,10,123,18,3,10,18,8,1,10,3,8,3,10,2,8,3,10,4,4,3,19,9,4,75,19,7,4,12,19,10,4,2,19,14,4,86,19,6,4,2,10,28,8,2,10,7,8,5,10,8,4,1,19,14,4,25,19,7,4,3,18,1,8,1,10,3,4,1,19,8,4,336,},
{4,728,19,5,4,1,10,4,18,3,10,14,18,3,10,5,18,1,9,1,10,1,4,14,19,6,4,2,10,3,18,8,10,7,18,2,10,2,8,1,18,1,3,1,18,1,10,2,18,2,10,1,18,1,10,6,18,2,3,2,16,1,3,2,18,1,10,3,18,2,10,2,18,4,8,1,10,10,8,2,10,11,8,2,10,6,18,1,14,1,18,1,10,15,18,2,14,2,18,1,10,2,8,4,10,4,18,3,10,4,8,1,18,1,8,1,10,2,8,18,10,8,18,3,10,13,18,1,3,5,18,1,4,2,18,2,3,1,16,3,3,1,10,1,18,1,10,3,9,1,18,2,10,12,18,3,9,1,10,3,18,2,3,2,18,1,10,4,18,3,9,1,8,1,9,1,10,4,8,1,18,1,14,1,18,2,8,1,18,1,8,2,10,19,8,19,18,1,8,22,7,2,8,4,7,2,8,7,15,6,14,4,15,1,14,45,15,4,14,48,15,4,14,5,15,1,14,3,18,1,8,1,10,2,8,2,18,1,14,3,15,1,18,2,14,3,15,3,14,11,15,2,14,5,15,1,14,14,7,4,8,1,7,2,14,1,7,1,8,1,7,2,8,2,15,2,8,2,18,1,14,4,18,1,8,1,10,2,8,1,18,3,8,44,18,1,8,16,10,2,8,3,10,25,8,1,10,12,8,3,10,15,8,1,10,1,8,1,10,2,8,4,10,4,8,1,10,19,8,22,10,11,4,6,10,158,18,4,10,9,9,1,18,1,10,2,18,3,10,240,4,4,19,7,4,38,19,8,4,3,19,5,4,9,10,23,8,1,10,5,8,2,10,110,4,2,19,17,4,2,10,116,18,2,10,5,18,3,10,19,8,1,10,3,8,2,10,4,8,3,10,2,4,4,19,6,4,79,19,5,4,13,19,10,4,2,19,14,4,86,19,5,4,3,10,37,8,2,10,4,18,1,4,7,19,12,4,27,19,6,4,3,18,1,8,1,10,4,4,1,19,8,4,336,},
{4,728,19,5,4,1,10,4,18,3,10,14,8,1,18,1,10,9,4,2,19,7,4,3,19,8,4,3,10,1,18,9,10,4,18,2,10,1,18,3,10,4,18,1,10,2,8,1,10,1,18,2,10,3,18,2,10,1,18,1,3,4,18,2,10,4,18,1,10,3,18,4,8,1,10,24,8,1,10,6,18,2,8,1,10,15,8,1,18,1,14,1,18,1,8,1,10,2,8,1,18,2,8,2,10,2,8,1,18,2,10,5,8,1,10,1,8,1,10,2,8,14,10,1,8,3,10,24,18,1,3,5,10,2,18,1,3,2,16,3,3,2,10,1,18,1,10,18,9,1,18,3,10,3,8,1,18,1,3,3,10,5,9,2,8,1,18,3,10,4,18,8,10,18,8,43,15,1,7,1,8,4,7,3,8,8,15,4,14,4,15,1,14,13,15,1,14,31,15,4,14,61,15,1,8,4,18,1,15,1,14,3,15,1,8,1,18,1,14,3,15,3,14,11,15,2,14,20,7,2,14,1,7,1,8,2,7,1,14,1,7,5,8,1,15,2,8,1,18,1,14,2,18,2,14,1,18,1,8,1,10,2,8,1,18,3,8,14,10,1,8,29,18,1,8,16,10,29,8,3,10,12,8,2,10,17,8,7,10,24,8,23,10,176,18,2,10,10,18,1,10,1,18,5,10,64,8,1,10,1,8,1,10,174,4,3,19,6,4,38,19,7,4,4,19,5,4,6,10,144,4,2,19,17,4,2,10,52,18,1,10,63,18,3,10,4,18,4,10,18,8,2,10,8,8,3,9,1,10,1,4,3,19,6,4,98,19,10,4,2,19,14,4,86,19,5,4,2,10,41,18,1,4,9,19,10,4,29,19,7,4,2,18,2,8,1,10,4,4,1,19,8,4,336,},
{4,728,19,5,4,1,10,4,18,3,10,9,18,2,10,14,4,2,19,8,4,2,19,8,4,2,18,10,10,8,18,1,3,2,18,1,10,1,18,1,10,6,18,2,10,3,18,2,10,1,3,3,18,1,10,10,18,4,8,1,10,6,8,3,10,24,8,1,10,4,8,2,10,11,18,3,10,3,8,1,18,1,8,3,10,2,8,1,18,2,10,10,8,4,10,1,8,8,10,30,18,1,3,3,18,1,10,1,18,1,10,1,18,1,3,2,16,2,3,2,10,21,18,3,10,4,9,1,18,1,3,2,10,7,8,1,18,3,10,4,18,5,14,1,18,2,10,18,8,43,7,2,8,4,7,1,14,3,15,1,8,6,15,4,14,5,15,2,14,4,15,1,14,5,15,2,14,31,15,2,14,63,15,1,18,1,8,2,18,1,15,1,14,4,15,1,8,1,18,1,15,1,14,2,15,3,14,11,15,1,14,18,17,1,14,3,7,1,14,2,7,3,14,1,7,8,8,1,18,1,14,2,18,2,14,1,18,1,8,1,10,2,8,1,18,1,14,1,18,2,8,30,10,4,8,26,10,28,8,4,10,32,8,6,10,25,8,23,10,190,18,5,10,61,18,3,10,14,18,1,10,162,4,3,19,4,4,39,19,5,4,6,19,5,4,6,10,144,4,2,19,17,4,3,10,32,8,1,10,16,18,3,10,63,18,3,10,5,18,4,10,17,8,2,10,8,8,3,10,1,4,4,19,5,4,99,19,10,4,3,19,13,4,86,19,5,4,2,10,41,4,3,19,17,4,28,19,8,4,2,18,1,8,1,10,4,8,1,4,2,19,7,4,336,},
{4,728,19,5,4,1,10,4,18,2,10,10,18,1,10,7,18,1,10,7,4,2,19,8,4,2,19,8,4,2,18,9,10,8,18,2,3,3,10,2,18,2,10,10,18,1,10,1,3,1,16,1,3,1,18,1,10,1,18,1,10,7,8,1,18,3,8,1,10,6,8,1,18,4,10,28,8,2,10,11,8,3,10,4,8,2,10,5,8,1,10,2,18,1,10,8,8,3,10,3,8,6,10,6,8,1,10,9,8,1,18,2,10,1,18,2,10,11,18,2,8,1,10,5,18,1,3,1,16,1,3,2,10,3,8,1,10,15,18,1,10,2,8,1,18,3,10,4,18,2,10,7,8,1,18,1,8,1,10,5,8,2,18,6,10,19,8,28,18,2,8,12,7,3,8,3,7,1,14,4,15,10,14,5,15,4,14,2,15,1,14,5,15,2,14,95,15,3,18,2,15,1,14,5,15,1,18,1,15,9,14,28,17,2,14,5,7,14,14,2,18,1,14,2,18,1,8,1,10,1,8,2,18,5,8,20,10,2,8,6,10,8,8,3,10,5,8,6,10,38,8,3,10,33,4,2,8,3,10,2,18,1,10,2,8,1,10,20,8,18,10,2,8,2,10,191,18,5,10,60,18,4,10,13,18,1,10,162,4,46,19,5,4,5,19,6,4,6,10,99,18,1,10,44,4,2,19,18,4,2,10,6,8,1,10,25,8,2,10,15,18,3,10,2,18,1,10,60,18,3,10,6,18,4,10,9,18,1,10,6,8,2,10,9,8,2,10,1,4,109,19,8,4,5,19,6,4,92,19,5,4,1,10,42,4,2,19,17,4,29,19,7,4,3,8,2,10,4,8,1,4,3,19,6,4,336,},
{4,728,19,5,4,2,18,1,10,2,18,1,10,17,18,2,9,1,10,7,4,2,19,8,4,2,19,8,4,2,18,7,10,5,18,2,10,2,18,7,10,2,18,1,10,7,18,3,10,2,3,4,10,1,18,1,10,5,18,1,10,3,18,3,10,5,8,1,18,5,9,1,10,16,8,1,10,23,8,2,10,15,18,1,10,14,8,4,10,7,8,1,10,10,18,3,10,2,18,1,10,7,18,2,10,10,9,1,3,3,18,1,10,2,18,2,8,1,10,11,8,1,10,6,9,1,18,3,10,4,8,1,18,1,8,1,10,6,8,1,9,1,10,8,8,2,18,3,10,19,8,27,18,3,8,11,7,1,14,2,7,1,8,3,7,1,14,6,15,6,14,8,15,3,14,8,15,2,14,13,3,1,14,81,15,5,14,7,15,2,18,1,15,8,14,5,15,1,14,28,7,9,14,1,7,2,14,1,7,1,8,1,18,2,14,2,18,1,8,2,18,11,8,16,10,4,8,4,10,8,8,2,10,49,8,4,10,24,8,2,10,6,4,4,8,2,10,5,8,2,10,19,8,17,10,4,8,1,10,194,18,2,10,60,18,4,10,4,9,1,10,8,8,1,18,1,10,162,4,45,19,5,4,6,19,4,4,6,10,1,8,3,10,39,8,2,10,100,4,2,19,18,4,2,10,4,8,3,10,19,18,1,10,5,8,2,10,15,9,1,10,3,18,3,10,21,8,2,10,37,18,2,10,6,18,5,10,7,18,4,10,1,8,1,10,1,18,1,8,2,10,9,8,2,10,1,4,126,19,1,4,93,19,4,4,2,10,42,4,2,19,14,4,32,19,6,4,3,10,2,8,2,10,4,4,4,19,4,4,337,},
{4,728,19,5,4,7,10,3,18,3,10,6,9,1,10,3,18,2,10,8,4,2,19,18,4,8,10,9,18,1,3,2,18,1,10,3,18,2,10,6,18,1,10,2,3,3,18,1,10,2,18,1,3,2,18,1,10,1,4,6,10,3,8,1,18,3,8,1,10,1,8,2,18,5,8,1,9,2,10,38,8,2,18,1,8,1,10,17,8,2,10,4,18,2,10,4,8,3,10,4,8,5,10,11,18,3,10,5,18,1,10,12,18,4,3,2,18,1,10,3,18,1,3,1,18,1,10,4,18,1,10,12,18,1,10,1,18,1,3,1,18,1,8,1,10,4,3,2,9,1,10,6,9,1,10,32,8,27,18,3,8,10,7,2,14,2,7,1,8,3,7,1,14,17,17,1,3,1,14,1,15,3,14,97,3,2,14,5,15,2,8,2,15,1,14,5,15,2,14,2,15,1,18,1,15,1,18,1,15,1,8,3,15,2,14,4,15,3,14,29,7,7,14,1,7,1,8,1,14,1,18,1,8,2,18,1,14,2,18,3,14,3,18,8,8,7,18,3,8,6,10,4,8,5,10,7,8,3,10,48,8,5,10,1,8,1,10,21,8,2,10,7,4,3,8,2,10,5,8,2,10,15,8,1,10,3,8,16,10,36,8,1,10,35,8,1,10,27,8,2,10,99,9,1,10,6,18,1,10,52,8,1,10,8,18,2,10,1,8,1,10,3,8,3,18,1,10,164,18,1,4,42,19,5,4,11,10,6,8,3,10,38,8,3,10,95,18,1,10,2,4,4,19,18,4,2,10,4,8,4,10,18,18,1,10,5,8,2,10,12,18,1,10,6,18,3,9,1,10,1,18,4,10,63,18,4,10,7,18,4,10,3,18,1,8,2,10,9,8,1,10,2,4,2,19,5,4,219,10,36,4,8,19,10,4,35,19,6,4,2,10,4,8,4,10,2,4,345,},
{4,728,19,5,4,7,10,3,18,3,10,5,18,3,10,2,18,2,10,8,4,3,19,16,4,9,10,9,18,3,10,2,18,1,10,1,3,2,8,1,10,7,3,2,16,2,3,1,18,3,3,3,18,1,4,6,10,4,18,3,8,2,18,2,3,1,18,1,8,1,10,4,9,1,10,37,8,1,18,2,8,1,10,19,18,1,8,1,10,4,18,1,10,10,8,6,10,1,8,1,10,9,18,3,10,5,18,1,10,2,18,1,10,1,8,1,18,1,10,2,18,2,10,2,18,1,3,4,18,1,10,4,3,3,18,1,10,16,18,1,10,1,8,1,3,1,18,2,10,4,3,1,16,1,18,1,10,8,9,1,10,29,8,35,7,8,14,2,7,2,8,2,7,1,14,17,17,2,14,2,15,1,14,105,15,2,8,2,15,1,14,6,15,1,14,2,15,3,8,1,15,1,8,4,15,7,14,20,7,3,14,4,7,1,14,2,7,6,14,2,7,1,8,1,14,1,7,1,8,2,18,1,14,2,18,3,14,2,18,9,8,7,18,3,8,15,10,6,8,4,10,44,8,1,10,5,8,5,10,30,4,3,8,3,10,3,8,2,10,21,8,16,10,96,8,2,10,171,18,2,10,173,9,1,4,42,19,5,4,11,10,5,8,1,18,1,8,2,10,135,4,8,19,17,4,3,10,5,8,1,10,48,18,2,10,2,18,3,10,16,8,3,10,45,18,4,10,8,18,3,10,1,8,5,10,12,4,2,19,6,4,218,10,13,8,2,10,9,4,20,19,10,4,31,19,8,4,3,18,1,10,4,8,3,10,3,4,345,},
{4,729,19,3,4,8,18,1,8,1,18,4,8,2,10,2,9,2,18,2,8,2,18,1,10,1,18,1,10,7,4,2,19,16,4,10,8,7,10,1,18,1,10,2,9,1,10,1,9,1,18,1,10,1,3,2,18,1,10,6,18,1,3,1,16,2,3,7,18,1,10,1,4,6,10,5,9,1,10,3,18,1,3,3,18,1,10,1,18,1,10,39,8,1,15,1,14,1,18,1,10,35,8,11,10,5,8,2,10,1,18,2,10,2,18,1,10,8,18,2,10,2,9,1,10,4,18,1,3,3,18,2,10,3,3,3,18,1,10,19,8,1,18,2,10,3,9,1,3,2,18,1,10,3,8,1,9,1,10,32,8,8,18,1,8,2,10,1,8,20,18,3,15,1,7,16,14,126,15,2,8,2,15,2,14,8,15,8,8,4,15,3,14,21,7,3,14,4,7,1,14,1,7,6,14,3,7,2,14,1,15,1,8,3,18,1,14,2,18,5,8,2,18,7,8,25,10,3,8,2,18,2,8,2,10,41,8,5,10,6,8,2,10,8,8,3,10,9,8,2,10,7,8,1,10,5,8,1,10,3,8,3,10,1,18,1,10,10,8,1,10,8,8,17,10,94,8,3,10,78,8,1,10,34,18,2,10,55,8,1,10,1,18,1,10,14,18,1,10,160,4,41,19,5,4,11,10,4,8,2,18,1,8,1,10,136,4,2,19,8,4,2,19,8,4,8,10,3,18,3,10,52,18,2,10,56,18,2,10,6,8,1,18,2,8,6,10,2,8,3,18,1,8,4,10,3,8,3,10,6,8,2,10,1,4,2,19,6,4,218,10,12,8,2,10,10,4,4,19,5,4,12,19,8,4,31,19,7,4,5,10,4,8,1,10,5,4,346,},
{4,741,10,2,9,1,8,11,10,1,8,1,10,1,18,3,8,1,10,1,8,1,10,2,4,3,19,14,4,11,10,1,8,6,10,3,18,2,9,2,18,1,10,1,3,2,18,1,10,2,18,2,10,2,3,1,16,2,3,4,16,1,3,2,18,2,10,1,4,6,18,3,10,6,18,1,3,1,16,1,3,1,18,1,10,1,18,2,10,4,18,1,10,33,8,1,14,2,8,1,10,35,8,7,18,2,8,2,10,5,8,2,10,1,18,2,10,2,18,2,8,1,10,6,18,2,10,2,18,2,10,3,18,1,3,3,18,3,10,2,3,3,18,1,10,6,18,1,10,13,18,2,10,4,3,2,8,1,10,2,9,1,18,1,8,1,10,14,18,1,8,1,10,15,8,9,18,1,8,2,10,1,8,19,18,1,15,2,14,2,7,16,14,35,15,2,14,8,15,2,14,80,15,5,14,7,15,10,8,3,15,2,14,22,7,5,14,1,7,9,14,3,7,2,14,1,15,1,8,4,14,2,18,1,8,7,18,6,8,14,18,3,8,17,10,41,8,3,10,9,8,1,10,6,8,6,10,8,8,3,10,6,8,1,10,9,8,3,18,2,10,10,8,2,10,8,8,16,10,113,18,1,10,60,8,9,10,27,18,2,10,237,4,53,10,4,8,3,10,97,18,2,10,38,4,1,19,9,4,2,19,7,4,8,10,3,18,3,10,33,8,1,10,19,18,2,10,56,18,2,10,6,8,9,10,4,8,6,10,3,8,4,10,5,8,2,10,1,4,2,19,6,4,217,10,13,8,2,10,9,4,3,19,8,4,50,19,7,4,5,18,1,10,1,18,3,10,4,4,347,},
{4,736,19,3,4,4,18,1,8,12,18,4,10,7,4,3,19,10,4,8,19,4,4,3,10,1,8,5,10,2,9,1,18,2,9,1,8,2,10,1,18,1,3,1,18,1,10,3,18,1,10,1,18,1,3,4,18,2,3,3,18,1,9,1,10,2,4,6,10,1,18,3,10,5,18,1,3,1,16,1,3,1,18,1,10,6,18,1,10,22,8,1,10,10,8,2,18,1,8,1,10,35,18,2,8,2,10,2,8,1,9,1,18,3,8,1,10,5,18,1,10,1,18,3,8,1,10,1,8,3,10,9,18,1,10,1,18,1,10,3,18,1,3,5,18,1,10,2,18,1,3,2,18,1,10,6,18,1,10,13,8,1,18,1,10,4,8,1,18,1,9,1,10,1,9,3,10,14,18,3,10,14,8,32,18,1,15,1,14,4,7,9,14,2,7,5,14,44,15,2,14,70,15,3,14,20,15,1,14,4,15,9,14,24,7,13,14,3,7,2,8,1,15,2,8,3,18,1,14,2,18,1,8,7,18,6,8,13,18,1,8,1,18,2,8,9,10,4,8,2,10,62,8,2,18,2,8,2,10,8,8,3,10,4,8,3,10,10,8,1,10,1,18,2,10,21,8,16,10,173,18,1,8,6,10,41,18,2,10,230,4,48,10,4,8,1,10,138,4,2,19,18,4,2,10,9,18,1,10,35,8,1,10,59,18,1,10,17,18,2,10,6,8,1,18,2,8,5,10,7,8,5,10,1,8,5,10,4,8,2,10,2,4,2,19,6,4,216,10,14,8,1,10,8,4,4,19,9,4,50,19,8,4,360,},
{4,735,19,5,4,4,9,1,8,12,18,2,10,2,18,1,10,6,4,2,19,10,4,8,19,5,4,3,18,2,8,3,10,1,8,2,18,1,9,2,8,2,10,1,18,2,10,6,18,1,3,4,18,3,3,2,18,1,9,1,18,2,4,6,10,1,18,3,9,1,10,5,3,4,18,1,10,2,18,1,10,4,18,1,10,19,8,2,10,9,18,2,8,2,10,31,8,1,10,3,18,3,8,1,10,3,8,1,18,5,10,4,8,1,18,1,10,1,18,1,3,1,18,1,8,1,10,1,8,2,10,5,18,1,10,4,18,2,10,2,9,1,10,1,18,2,3,4,18,1,10,2,18,3,10,5,18,1,9,1,10,2,18,1,10,12,8,2,10,6,9,3,10,13,18,5,10,13,8,32,18,2,15,1,14,4,7,6,14,6,7,4,14,30,15,1,14,12,15,2,14,70,15,6,14,24,15,1,14,33,7,10,14,4,7,1,8,2,15,2,8,3,18,1,14,2,8,8,18,7,8,1,18,1,8,1,18,1,8,22,10,67,8,2,18,3,8,1,10,7,8,4,10,4,8,3,10,3,8,1,10,6,8,1,10,1,8,1,18,1,10,2,8,1,10,20,8,14,10,173,18,2,8,5,10,41,18,3,10,11,18,1,10,217,4,48,10,144,4,1,19,18,4,2,10,9,18,1,10,2,18,1,10,92,9,1,10,16,18,3,10,6,8,1,18,2,8,5,10,7,8,17,10,2,4,2,19,6,4,216,10,3,8,1,10,18,4,3,19,11,4,50,19,8,4,9,19,2,4,1,19,3,4,345,},
{4,735,19,5,4,4,8,13,18,2,9,1,18,2,10,6,4,4,19,8,4,8,19,6,4,2,18,2,9,1,8,8,10,1,8,1,10,11,18,1,3,3,4,2,18,3,14,1,3,1,18,1,4,4,10,3,18,3,10,6,18,4,10,3,18,3,10,1,18,2,10,29,18,1,14,1,18,1,10,33,8,1,10,2,18,3,8,2,10,3,8,1,9,1,18,3,8,2,10,2,8,1,18,2,10,1,18,1,3,1,18,1,10,2,8,2,10,5,18,1,10,11,8,1,18,1,3,2,18,1,10,3,18,2,10,5,9,1,18,2,10,8,18,1,10,3,18,2,10,1,8,3,10,5,8,1,9,1,10,13,8,1,18,5,10,1,18,1,10,10,8,23,18,1,8,10,18,1,15,1,14,4,7,6,14,7,7,3,14,9,7,1,14,33,15,2,14,70,15,2,8,2,15,3,14,23,15,1,14,33,7,4,8,1,7,5,14,4,7,2,8,1,15,4,18,1,14,3,18,1,8,8,18,10,8,22,10,67,8,2,18,3,8,1,10,7,8,4,10,3,8,3,10,4,8,1,10,6,8,1,10,5,8,1,10,22,8,5,10,3,8,4,10,171,18,5,8,4,10,41,18,2,10,226,8,1,10,3,4,48,10,5,8,1,10,138,4,1,19,18,4,2,10,9,18,2,10,1,18,2,10,91,18,2,10,15,18,4,10,5,8,7,10,7,8,2,10,2,8,14,10,2,4,2,19,6,4,216,10,12,8,2,10,8,4,1,19,13,4,50,19,8,4,8,19,8,4,344,},
{4,735,19,5,4,5,10,1,8,14,10,8,4,4,19,8,4,8,19,6,4,3,18,2,10,1,9,1,8,5,10,2,8,2,10,2,8,1,18,1,10,4,18,1,10,1,9,1,3,3,4,3,3,4,18,1,4,4,10,4,18,2,10,5,18,1,10,8,18,4,10,30,14,2,18,1,10,4,18,1,10,28,8,1,10,1,8,1,18,1,8,2,10,2,8,3,18,1,8,6,10,1,9,1,18,3,10,1,18,3,10,1,8,1,18,1,8,2,10,3,18,3,10,6,8,1,18,1,10,4,18,2,10,3,18,3,10,2,18,1,10,2,18,3,10,8,18,1,10,4,18,1,10,2,18,2,10,5,8,1,10,14,8,1,18,2,8,1,18,1,10,12,8,3,18,3,8,11,18,2,8,5,18,2,8,8,18,2,15,2,14,3,7,4,14,10,7,1,14,116,15,2,8,3,15,2,14,23,15,1,14,33,7,9,14,6,7,2,15,1,14,7,18,5,8,1,18,15,8,3,18,4,8,1,18,2,8,6,18,3,8,2,10,62,8,2,10,3,8,6,10,6,8,4,10,3,8,2,10,5,8,1,10,6,8,1,10,16,8,2,10,10,8,5,10,178,18,4,8,3,10,2,8,1,10,47,18,2,10,27,18,1,10,191,8,1,10,3,4,48,10,5,8,3,10,135,4,2,19,18,4,1,10,11,18,3,10,92,18,2,10,16,18,1,9,1,18,1,10,8,8,4,10,5,8,4,10,2,8,14,10,1,4,3,19,5,4,217,10,12,8,2,10,7,4,2,19,12,4,51,19,9,4,6,19,9,4,344,},
{4,735,19,7,4,3,18,1,9,1,8,8,18,1,8,1,10,1,18,4,10,9,4,1,19,8,4,8,19,7,4,7,9,1,8,3,10,2,8,3,10,1,18,2,10,4,18,1,10,1,18,1,3,1,16,1,3,1,4,2,18,1,3,1,16,2,18,1,4,5,10,4,18,3,10,2,18,5,10,3,18,3,10,22,8,1,10,10,18,1,3,1,14,1,8,1,10,4,18,1,10,31,18,1,10,4,9,1,18,3,8,1,10,3,8,3,18,4,8,1,18,3,10,1,8,1,18,1,8,2,10,2,18,4,10,5,8,1,18,2,10,4,18,2,10,3,18,1,3,2,18,1,10,4,18,3,8,1,10,2,18,1,10,3,18,1,10,8,8,2,10,8,8,2,9,1,10,9,8,1,18,1,10,8,8,4,10,2,8,4,18,5,8,10,18,1,8,5,18,13,15,4,7,3,14,50,15,4,14,40,17,2,14,5,17,1,16,1,17,1,14,3,17,2,14,19,15,2,8,2,15,3,14,22,15,2,14,6,15,2,14,23,7,1,14,1,7,9,14,6,7,2,14,8,18,21,8,3,18,7,8,6,18,3,8,2,10,58,8,1,10,2,8,4,10,3,8,5,10,6,8,4,10,3,8,1,10,6,8,1,10,4,8,5,10,14,8,2,10,10,8,8,10,175,18,3,8,3,10,3,8,1,10,46,18,1,10,1,18,2,10,7,18,1,10,217,18,1,4,7,19,3,4,34,10,5,8,3,10,134,4,2,19,18,4,2,10,12,18,1,10,93,9,1,18,1,10,4,9,1,18,1,10,10,18,2,10,10,8,3,10,3,8,6,10,2,8,14,4,2,19,4,4,220,10,15,8,1,18,1,4,5,19,10,4,54,19,11,4,3,19,10,4,344,},
{4,735,19,7,4,4,10,1,8,10,18,6,8,1,10,7,4,2,19,6,4,9,19,10,4,1,19,2,4,1,10,1,8,3,10,2,8,3,10,1,18,1,10,5,18,1,10,1,18,1,3,2,18,1,4,2,18,1,16,3,18,1,4,5,10,6,18,1,10,2,18,1,10,2,18,2,10,1,18,1,9,1,18,2,9,1,18,1,10,20,8,1,18,1,8,1,10,8,18,1,14,1,3,1,14,1,10,29,8,2,10,5,8,2,10,3,8,1,9,1,18,2,9,1,10,4,8,1,18,1,8,1,18,4,10,1,18,2,10,2,8,1,18,1,8,2,10,2,18,3,10,1,18,1,10,4,8,3,9,1,10,8,18,1,3,3,18,1,10,3,18,3,8,1,10,5,18,1,10,19,8,1,18,1,8,1,9,1,10,17,8,5,10,3,8,3,18,6,8,15,18,10,15,5,14,5,7,5,14,44,15,5,14,40,17,3,14,4,16,2,17,1,14,3,16,2,14,20,15,5,14,30,15,5,14,21,7,1,14,2,7,1,14,2,7,1,14,5,7,2,14,3,7,3,14,7,18,2,15,1,18,17,8,4,18,7,8,5,18,5,8,2,10,60,8,1,18,2,8,2,10,4,8,4,10,5,8,4,10,9,8,2,10,4,8,5,10,27,8,3,10,1,8,3,10,19,8,1,10,73,8,2,10,18,8,2,10,25,18,4,10,31,18,2,9,1,8,2,10,4,8,1,10,46,18,1,10,1,18,2,10,6,18,3,10,16,18,2,10,7,18,1,10,190,18,1,4,6,19,6,4,32,10,5,8,3,10,134,4,1,19,19,4,2,10,111,9,1,18,3,10,9,18,2,9,1,10,9,8,4,10,1,8,16,10,4,8,2,9,1,4,1,19,5,4,220,10,15,18,1,4,4,19,12,4,54,19,12,4,2,19,10,4,344,},
{4,735,19,7,4,4,10,1,8,13,18,3,8,1,10,3,8,1,10,3,4,2,19,5,4,10,19,13,4,1,9,4,8,3,18,1,8,3,10,4,9,1,10,2,18,1,3,1,18,1,4,3,3,1,16,3,18,1,4,5,10,6,18,1,10,2,18,1,10,7,18,2,10,23,8,2,10,2,8,1,10,4,8,1,14,1,3,2,14,1,8,1,10,23,18,2,10,3,8,2,10,4,18,1,8,1,10,4,8,1,18,3,9,1,10,4,8,1,18,6,10,1,18,2,10,2,8,1,18,1,8,2,10,3,18,1,10,2,18,3,10,5,8,1,9,1,10,6,9,1,18,2,3,4,18,1,9,2,18,2,10,6,18,1,10,19,8,1,18,2,8,1,9,1,10,15,8,4,10,5,8,4,18,4,8,17,18,7,15,4,14,9,7,7,14,41,15,5,14,39,17,4,14,4,16,2,17,1,14,3,16,2,14,21,15,2,14,32,15,5,14,4,15,1,14,16,7,2,14,10,7,1,14,5,15,3,14,5,15,1,18,20,8,5,18,9,8,1,18,6,8,3,10,59,8,1,18,2,8,2,10,4,8,4,10,6,8,3,10,9,8,2,10,4,8,2,10,2,8,1,10,19,8,3,10,10,8,2,10,19,8,2,10,60,8,4,10,28,8,1,10,26,18,5,10,20,8,1,10,11,9,1,10,54,18,2,10,7,18,2,10,16,18,3,10,199,4,6,19,7,4,31,10,142,4,1,19,19,4,2,10,111,18,4,10,9,18,3,10,9,8,4,10,2,8,15,10,5,8,1,9,1,4,1,19,6,4,214,19,3,4,2,10,14,4,5,19,7,4,60,19,12,4,3,19,2,4,351,},
{4,735,19,7,4,5,18,1,9,1,8,11,18,3,8,1,10,3,8,1,18,3,10,1,4,2,19,4,4,10,19,13,4,1,18,4,9,1,8,2,18,1,8,1,10,5,18,2,10,2,18,2,4,4,18,1,16,3,18,1,4,5,10,6,18,1,10,2,18,1,10,12,18,2,10,18,8,3,18,2,10,4,18,1,14,1,3,2,14,1,8,1,10,1,8,5,10,17,18,2,10,3,8,1,10,4,18,2,8,1,10,3,8,1,18,4,9,1,10,4,8,1,18,2,9,1,18,3,10,1,18,2,8,1,10,1,8,4,10,6,18,4,10,4,8,1,18,2,10,2,18,2,10,2,18,1,10,1,3,1,16,3,3,1,18,2,10,7,18,1,10,20,8,1,18,3,8,1,10,15,8,1,10,9,8,5,18,2,8,3,18,2,8,12,18,9,15,2,14,9,7,7,14,43,15,2,14,38,17,6,14,4,17,1,16,1,17,1,14,3,17,1,16,1,17,1,14,54,15,5,14,4,15,2,14,33,15,3,14,4,15,1,18,20,8,5,18,15,8,5,10,58,8,2,18,2,8,2,10,6,8,1,10,7,8,4,10,8,8,2,10,4,8,2,10,4,8,2,10,16,8,4,10,9,8,2,10,19,8,2,10,60,8,5,10,52,18,1,10,1,18,5,10,20,8,1,10,9,18,1,10,65,18,1,10,17,18,2,10,19,18,3,10,179,4,6,19,7,4,29,18,1,8,3,10,98,18,2,10,39,4,1,19,18,4,3,10,112,9,1,18,1,9,1,10,9,9,1,18,1,10,9,8,5,10,2,8,15,10,6,9,1,4,1,19,7,4,212,19,5,4,2,10,13,4,4,19,8,4,60,19,11,4,357,},
{4,735,19,7,4,7,10,1,8,14,10,5,18,2,10,2,4,17,19,12,4,4,18,1,8,2,18,1,8,1,10,10,18,1,4,5,3,1,16,2,3,2,18,2,10,2,18,2,10,20,18,2,10,19,8,1,18,3,10,3,8,1,14,5,18,7,8,1,10,16,18,2,10,3,8,1,10,5,18,1,10,3,8,1,18,4,8,1,10,4,8,2,18,5,8,1,10,1,18,2,8,1,10,2,8,4,10,6,18,5,10,3,18,2,10,8,18,1,16,4,3,1,18,1,10,3,18,2,10,2,18,1,10,18,9,1,8,1,9,1,8,1,18,2,8,1,10,24,8,11,15,1,14,1,18,1,8,6,18,3,8,2,18,6,8,1,18,1,15,3,14,9,7,7,14,74,17,1,14,7,17,3,14,2,17,1,14,5,17,2,14,4,17,2,14,55,15,5,14,4,15,2,14,33,15,1,18,1,15,2,14,3,18,11,8,3,18,5,8,7,18,15,8,5,10,57,8,8,10,13,8,4,10,8,8,1,10,4,8,3,10,22,8,3,10,31,8,1,10,8,18,1,10,52,8,5,10,52,18,6,10,129,9,1,18,1,10,5,18,3,10,180,4,5,19,7,4,26,10,2,18,4,8,2,10,98,18,2,10,38,4,1,19,17,4,3,10,100,8,3,10,5,9,1,8,1,10,15,18,3,10,9,8,4,10,2,8,9,10,2,8,4,10,6,9,1,4,1,19,7,4,70,19,7,4,135,19,5,4,2,10,2,8,2,10,8,18,1,4,3,19,9,4,428,},
{4,736,19,6,4,8,10,1,8,14,10,3,8,1,18,3,10,2,4,16,19,14,4,2,18,2,8,1,18,1,8,1,10,10,18,1,4,5,18,1,3,1,16,2,3,2,18,1,10,2,18,2,10,20,18,2,10,19,8,1,18,2,8,1,10,2,8,1,14,1,3,1,18,4,14,5,18,2,8,1,10,20,8,1,10,5,18,2,10,2,8,1,18,1,8,1,18,1,8,2,10,3,8,2,18,5,8,2,10,1,18,3,10,3,8,1,18,2,10,1,8,1,10,6,18,2,10,1,18,2,10,4,8,1,10,7,18,1,3,2,16,2,3,1,18,1,10,2,8,1,3,2,18,1,10,1,18,1,10,17,8,1,18,2,8,2,18,3,9,1,10,23,8,10,18,1,14,3,18,9,8,2,18,4,8,1,18,1,8,2,18,1,15,2,14,11,7,4,14,74,17,3,14,6,17,3,14,7,17,3,14,5,17,1,14,55,15,11,14,31,15,1,14,1,15,1,18,2,15,1,14,2,15,1,18,2,15,1,18,7,8,4,18,4,8,8,18,15,8,5,10,56,8,10,10,13,8,3,10,6,8,1,10,6,8,3,10,2,8,1,10,19,8,2,10,41,18,1,10,53,8,3,10,39,18,1,10,148,18,3,10,1,18,1,10,8,18,3,10,174,4,7,19,5,4,26,10,3,8,1,18,1,15,2,8,2,10,97,18,1,10,39,4,1,19,17,4,2,10,101,8,1,18,2,10,5,18,2,8,1,10,26,8,4,10,1,8,10,10,2,8,4,10,6,9,1,4,1,19,7,4,71,19,7,4,134,19,5,4,3,10,1,8,2,10,8,4,4,19,8,4,429,},
{4,743,19,4,4,3,10,1,8,14,10,3,8,5,9,1,4,6,19,6,4,4,19,6,4,2,19,6,4,2,18,2,10,2,18,2,8,1,10,7,18,2,4,6,3,4,18,1,10,3,18,2,10,5,18,3,4,4,10,8,18,2,10,19,8,1,18,2,10,3,18,1,14,2,18,1,8,1,18,3,14,3,18,3,8,1,10,19,8,2,10,9,8,1,18,3,8,1,10,3,8,1,18,4,8,4,10,2,18,3,10,5,9,1,10,9,18,4,10,5,18,1,8,1,10,4,4,3,18,1,3,1,16,2,3,1,10,2,18,1,3,2,18,1,10,1,18,1,10,13,8,1,10,3,8,1,18,7,9,1,10,5,9,1,10,9,18,1,10,7,8,10,15,1,14,8,18,1,8,1,18,2,8,2,18,1,15,1,18,2,15,1,18,1,15,7,14,87,17,3,14,5,17,4,14,4,17,4,14,2,17,4,14,56,15,12,14,30,7,1,15,1,14,2,15,3,14,2,15,1,18,2,14,2,18,5,8,5,18,5,8,6,18,16,8,5,10,16,8,3,10,34,8,13,10,13,8,2,10,6,8,2,10,6,8,3,10,2,8,2,10,62,18,1,10,243,18,3,10,1,18,1,10,9,18,2,10,174,4,7,19,5,4,26,10,3,8,2,18,2,8,2,10,137,4,1,19,17,4,2,10,43,18,2,10,56,8,3,10,5,8,2,10,7,18,3,10,17,8,4,10,1,8,16,10,6,9,1,4,2,19,6,4,72,19,9,4,131,19,5,4,3,10,10,4,4,19,6,4,432,},
{4,742,19,6,4,3,9,1,18,2,8,13,10,2,8,5,18,1,4,5,19,6,4,5,19,5,4,3,19,5,4,4,10,2,18,2,10,2,18,3,10,3,18,2,4,6,18,1,3,1,18,1,8,1,10,4,18,2,10,5,18,1,3,1,18,1,4,4,10,33,8,1,18,1,3,3,18,1,8,1,18,2,8,1,18,4,8,1,10,14,18,1,10,5,8,1,18,2,10,8,8,2,18,1,8,2,10,3,8,1,18,5,8,2,10,4,18,2,8,1,10,1,8,2,18,3,10,9,18,3,10,6,18,2,10,4,4,4,18,1,3,2,18,1,10,2,18,1,3,2,18,1,10,15,8,1,10,3,8,1,18,2,14,1,18,2,8,3,10,4,8,1,18,1,10,18,8,9,15,1,14,8,18,1,8,5,18,1,15,4,18,1,15,5,14,89,17,10,16,1,17,2,14,2,17,2,16,2,17,1,14,2,17,2,16,1,17,1,14,56,15,12,14,6,15,1,14,22,7,1,8,1,15,1,14,2,15,4,14,1,18,3,14,2,8,2,18,3,8,4,18,7,8,5,18,15,8,7,10,7,8,3,10,4,8,5,10,32,8,3,18,2,8,9,10,6,8,1,10,13,8,3,10,6,8,3,10,3,8,2,10,26,8,3,10,275,18,4,10,1,18,1,10,9,18,2,10,175,4,1,10,1,4,6,19,3,4,25,10,5,8,5,10,1,8,1,10,120,18,2,10,13,4,1,19,12,4,7,10,43,18,2,10,37,18,2,10,9,8,1,10,8,8,1,10,5,8,1,10,8,18,4,10,17,8,19,10,1,8,1,10,5,8,1,9,1,4,2,19,6,4,48,18,1,4,15,10,1,4,1,10,2,4,1,10,1,4,2,19,10,4,131,19,4,4,3,10,10,4,4,19,5,4,433,},
{4,742,19,7,4,2,18,3,8,21,4,5,19,6,4,13,19,5,4,5,10,1,18,2,10,4,18,1,10,2,18,3,4,5,18,3,10,14,3,2,4,4,10,33,18,1,3,4,18,4,10,2,8,1,18,1,8,1,10,14,18,3,10,3,8,1,18,3,10,2,18,2,10,3,8,4,10,5,8,1,18,4,8,2,10,3,18,2,8,1,18,1,10,2,8,2,9,1,18,2,10,6,8,1,10,2,18,1,10,1,18,1,10,6,18,2,10,4,4,5,18,1,3,1,18,1,10,3,8,1,18,1,8,1,10,2,18,1,10,18,18,1,3,2,8,1,10,1,8,2,10,4,18,2,9,1,10,18,8,8,15,1,14,8,8,6,18,1,15,3,18,1,15,5,14,78,17,4,14,7,17,7,16,5,17,3,14,1,17,1,16,4,14,2,17,1,16,3,14,56,15,12,14,6,15,3,14,18,7,3,8,2,14,2,15,1,18,1,15,3,18,3,14,1,15,1,8,2,18,4,8,2,18,9,8,4,18,8,8,1,18,4,8,2,18,3,8,8,10,3,8,3,10,4,8,5,10,28,8,5,18,4,8,8,10,6,8,2,10,11,8,1,10,1,8,3,10,4,8,1,10,1,8,2,10,4,8,2,10,25,8,5,10,145,8,1,10,33,8,2,10,93,18,1,10,4,18,5,10,187,4,4,19,4,4,15,19,5,4,2,10,7,8,2,10,123,18,1,10,2,18,1,10,12,4,2,19,6,4,10,10,12,8,1,10,32,18,3,10,36,18,2,10,6,8,1,10,17,8,1,10,5,18,1,10,2,18,1,9,3,10,16,8,19,10,3,8,6,10,1,4,2,19,6,4,43,10,27,4,3,19,10,4,130,19,4,4,10,18,1,4,444,},
{4,742,19,7,4,3,18,2,8,22,4,4,19,6,4,13,19,8,4,2,10,1,18,2,10,2,18,3,10,2,18,3,4,5,18,2,10,2,18,1,10,3,9,1,10,5,18,2,10,1,3,2,4,4,10,7,18,1,10,24,8,1,18,1,3,3,14,1,18,1,8,1,18,1,8,1,10,20,18,2,10,3,8,1,18,3,10,15,8,1,18,2,8,1,18,2,8,1,10,9,8,2,18,3,10,19,18,2,10,4,4,6,18,2,10,3,8,1,10,23,18,1,3,2,8,1,10,7,18,2,9,1,10,3,8,1,18,1,8,1,10,15,8,6,15,1,14,7,8,7,18,1,15,7,14,65,17,3,14,10,17,4,14,9,17,5,16,4,17,4,14,2,17,1,16,4,17,2,16,4,17,1,14,17,17,2,14,36,15,2,14,1,15,1,14,1,15,7,14,6,15,2,14,18,7,1,15,1,7,2,8,2,15,1,14,1,15,5,18,3,14,1,15,1,8,2,18,10,14,1,18,4,8,3,18,14,8,3,18,2,8,8,10,3,8,3,10,3,8,7,10,24,8,5,18,6,8,9,10,6,8,2,10,11,8,1,10,1,8,3,10,4,8,4,10,5,8,1,10,24,8,5,10,33,18,1,10,146,8,2,10,98,18,4,10,188,4,4,19,6,4,12,19,6,4,2,10,133,18,1,10,1,18,1,10,12,4,2,19,6,4,6,10,23,18,1,10,25,18,3,10,36,18,2,10,23,8,2,10,9,18,3,10,16,8,19,10,4,8,5,9,1,4,2,19,6,4,42,10,15,8,1,10,12,4,5,19,9,4,129,19,5,4,454,},
{4,742,19,8,4,2,8,24,4,4,19,6,4,13,19,8,4,2,10,5,4,6,10,7,18,2,10,5,18,3,10,3,18,3,10,1,18,2,4,4,10,7,18,3,10,22,18,2,14,1,18,2,8,4,10,21,18,1,10,5,18,1,8,2,10,13,8,3,18,3,8,4,10,7,8,1,10,1,8,2,10,3,8,1,10,1,18,1,10,6,8,1,10,14,18,2,4,4,10,3,18,3,10,2,8,2,10,20,18,1,14,1,18,1,10,6,18,3,10,4,18,1,3,1,18,1,8,1,10,15,8,6,14,7,18,1,8,1,18,2,8,5,15,2,14,4,15,2,14,64,17,4,14,7,17,3,14,13,17,2,16,3,17,3,14,6,17,2,16,8,17,1,14,16,17,2,16,1,17,1,14,34,15,2,14,4,15,3,14,2,15,2,14,27,15,3,8,2,15,11,18,2,8,2,18,1,15,2,18,5,14,3,18,2,8,1,18,3,8,3,18,11,8,13,10,3,8,18,10,4,8,3,10,11,8,21,10,6,8,1,10,14,8,4,10,2,8,5,10,30,8,3,10,4,8,2,10,19,8,1,10,156,8,3,10,96,18,2,10,191,4,4,19,7,4,10,19,7,4,2,10,121,8,2,10,25,4,2,19,6,4,6,10,72,8,1,10,4,8,3,10,8,8,1,10,2,8,1,10,5,18,2,10,25,18,3,10,16,8,5,10,1,8,12,10,7,8,3,9,1,4,2,19,8,4,26,19,8,4,5,10,15,8,6,10,9,4,6,19,9,4,127,19,5,4,454,},
{4,742,19,8,4,2,10,1,9,1,8,22,10,1,18,1,4,3,19,5,4,14,19,8,18,2,10,3,4,7,10,7,18,1,10,5,18,4,10,7,18,1,4,5,10,7,18,4,10,20,8,1,18,3,8,1,10,47,8,11,10,2,8,2,10,10,8,1,10,1,18,1,10,5,18,3,10,2,18,1,10,2,18,1,10,7,18,1,3,1,18,2,4,2,10,2,18,1,3,3,8,1,10,1,8,1,10,21,18,3,8,1,10,4,9,1,18,2,8,1,10,4,3,3,8,1,10,15,8,6,15,1,14,1,3,1,14,4,15,1,18,1,15,2,18,1,8,4,18,1,15,1,14,4,15,3,14,65,17,2,14,6,17,3,14,9,17,1,14,4,17,2,16,3,17,2,14,8,17,1,16,7,17,2,14,16,17,4,14,33,15,3,14,4,15,1,8,1,15,1,14,3,15,1,14,25,7,1,15,4,8,3,15,10,18,5,15,2,18,2,8,1,18,1,14,5,18,1,8,2,18,3,8,3,18,11,8,12,10,4,8,18,10,3,8,3,10,8,8,24,10,21,8,10,10,31,8,2,10,5,8,3,10,17,8,2,10,123,18,1,10,32,8,3,10,76,18,5,10,209,4,4,19,7,4,8,19,8,4,2,10,44,8,1,10,76,8,2,10,25,4,2,19,6,4,6,10,60,8,1,10,1,8,1,10,8,8,2,10,3,8,3,10,10,8,3,10,5,18,2,10,25,9,1,18,1,10,17,8,4,10,3,8,11,10,8,8,3,10,1,4,2,19,7,4,26,19,8,4,4,10,16,8,6,10,10,4,7,19,7,4,130,19,1,4,455,},
{4,742,19,9,4,3,9,1,8,22,9,2,18,1,19,12,4,8,19,8,4,1,18,2,10,3,4,6,10,13,18,3,10,5,18,2,10,3,18,2,10,9,18,4,10,21,8,1,18,1,8,1,10,25,18,2,10,23,8,9,10,2,8,2,18,1,10,4,18,2,10,3,8,1,18,2,10,2,8,1,10,2,18,2,8,1,10,1,18,2,10,2,18,1,10,7,3,2,18,1,10,5,18,1,3,3,18,1,10,23,8,1,18,1,8,1,10,6,18,2,9,1,10,4,18,1,3,1,18,1,8,1,10,16,8,5,15,1,14,5,15,2,18,1,15,2,18,1,8,4,18,1,15,1,14,3,15,4,14,73,17,4,14,7,17,2,14,3,17,3,16,2,17,3,14,6,17,4,16,5,17,3,14,16,17,2,14,27,15,2,14,6,15,3,14,4,15,1,8,1,15,1,14,3,15,1,14,25,7,1,15,2,14,1,15,1,8,3,15,11,18,6,8,3,18,1,14,5,18,2,8,1,18,2,8,4,18,10,8,8,18,1,8,4,10,3,8,19,10,3,8,3,10,8,8,25,10,20,8,6,10,2,8,2,10,32,8,1,10,5,8,2,10,18,8,2,10,123,18,2,10,111,18,3,10,211,4,3,19,7,4,5,19,11,4,2,10,122,8,1,10,25,4,2,19,9,4,2,10,63,8,2,10,7,8,2,10,4,8,1,10,14,18,2,10,2,18,3,10,44,8,4,10,3,8,13,10,3,8,7,18,1,4,1,19,7,4,26,19,8,4,1,10,4,8,1,10,20,8,1,10,11,4,5,19,7,4,586,},
{4,742,19,9,4,3,18,1,8,24,9,1,4,1,19,11,4,8,19,7,4,2,18,2,10,3,4,6,10,14,18,1,10,3,18,1,10,2,18,3,10,2,18,1,10,9,18,4,10,23,8,1,10,26,18,2,10,25,8,7,10,4,18,2,10,3,18,2,10,3,8,1,10,5,8,1,18,3,10,3,18,3,10,1,18,1,10,6,18,2,10,5,18,2,3,3,18,1,10,24,8,1,10,6,9,2,10,5,8,1,18,1,14,1,18,1,10,17,8,5,15,1,14,5,8,1,18,5,8,5,15,8,14,73,17,4,14,6,17,12,14,4,17,8,16,4,17,6,14,42,15,4,14,4,15,4,14,3,15,2,8,2,15,1,14,28,7,2,14,2,15,1,8,2,15,12,18,2,15,1,18,1,8,5,15,1,14,6,18,2,14,5,18,11,8,6,18,3,8,5,10,2,8,26,10,6,8,26,10,19,8,6,10,63,8,2,10,44,8,2,10,11,8,3,10,63,18,1,9,1,10,1,18,3,10,107,18,2,10,212,4,4,19,6,4,2,19,14,4,2,10,148,4,2,19,9,4,1,10,64,8,1,18,2,10,27,18,7,10,29,18,1,10,14,8,4,10,3,8,4,10,1,8,18,10,1,4,1,19,7,4,26,19,7,4,1,10,5,8,2,10,19,8,3,10,1,8,4,10,6,4,3,19,7,4,586,},
{4,742,19,9,4,3,18,1,8,24,9,1,4,5,19,7,4,8,19,7,4,2,10,2,18,3,4,6,10,4,18,2,10,12,18,2,10,2,18,4,10,7,18,5,10,52,18,2,10,19,8,2,10,5,8,2,18,1,8,2,10,29,18,2,9,1,10,13,18,6,8,1,10,29,9,1,18,3,10,2,9,1,8,1,10,1,8,1,18,2,8,1,10,17,8,5,15,1,14,4,18,1,8,1,18,2,8,2,18,1,8,5,18,1,15,7,14,72,17,5,14,5,17,2,16,3,17,2,16,3,17,2,14,6,17,18,14,41,15,3,14,5,15,4,14,3,15,2,8,2,15,1,14,28,7,2,14,3,8,2,15,2,14,3,15,6,18,2,15,2,18,1,8,4,15,1,14,7,8,1,14,1,3,1,16,1,3,2,14,2,18,7,14,1,18,2,8,4,18,1,8,1,18,3,8,33,10,6,8,16,18,2,8,8,10,19,8,6,10,63,8,2,10,44,8,2,10,12,8,2,10,37,18,1,10,25,18,6,10,108,18,2,10,211,4,5,19,20,4,3,10,38,8,1,10,109,4,2,19,9,4,1,10,65,18,2,9,1,10,26,18,7,10,28,18,4,10,12,8,5,10,2,8,4,10,2,8,17,9,1,4,1,19,7,4,20,19,9,4,5,10,26,8,9,10,4,9,1,4,4,19,6,4,586,},
{4,743,19,8,4,3,18,1,8,25,10,1,4,4,19,7,4,8,19,7,4,2,10,2,18,3,4,6,10,4,18,2,10,12,18,1,10,4,18,2,9,1,10,7,18,4,10,5,8,1,10,4,18,1,10,42,18,1,10,2,18,1,10,16,8,3,10,5,8,2,18,1,8,2,10,15,8,1,10,9,8,1,18,2,10,2,18,1,10,7,18,2,10,4,18,1,3,2,18,1,10,30,8,1,10,1,8,1,18,1,3,1,18,2,10,2,9,1,18,1,8,1,18,3,10,17,8,6,15,2,14,3,8,3,18,1,8,2,18,1,8,5,18,1,15,7,14,72,17,5,14,4,17,3,16,5,17,1,16,1,17,2,14,7,17,19,14,23,17,5,14,18,15,5,14,4,15,5,14,27,7,3,14,3,15,4,14,3,15,5,14,1,15,1,18,2,15,1,18,1,8,3,15,1,14,8,8,1,14,1,16,4,3,1,14,2,18,1,8,1,18,3,14,3,18,2,8,2,18,2,8,39,10,4,8,16,18,2,8,7,10,5,8,2,10,12,8,7,10,43,8,1,10,18,8,2,10,45,8,2,10,51,18,1,10,26,9,1,18,4,10,92,18,1,10,15,18,2,10,212,4,5,19,15,4,6,10,37,8,5,10,32,18,2,10,73,4,3,19,8,4,1,10,20,18,2,10,44,18,1,10,13,8,1,10,13,18,7,10,28,18,2,10,1,18,1,10,11,8,7,10,1,8,4,10,9,8,7,10,2,9,1,4,2,19,7,4,20,19,7,4,5,10,27,8,10,10,4,8,1,10,1,18,1,4,2,19,6,4,586,},
{4,744,19,8,4,2,9,1,8,25,10,3,4,2,19,8,4,7,19,7,4,2,10,3,18,4,10,8,18,2,10,18,18,1,10,8,18,5,10,4,8,1,10,4,18,1,10,42,18,1,10,1,8,1,18,1,8,1,10,15,8,3,10,5,8,1,18,2,8,1,10,5,8,1,18,1,10,9,8,1,10,9,18,2,3,1,18,1,10,9,18,2,9,1,10,3,18,1,3,3,10,13,8,2,10,14,8,1,18,1,10,1,18,1,14,1,3,2,18,1,10,2,9,1,18,1,8,1,18,3,10,16,8,7,15,2,14,3,8,6,18,1,8,5,18,1,15,6,14,23,17,2,14,29,17,2,14,17,17,4,14,5,17,3,16,1,17,8,14,7,17,10,16,2,17,7,14,20,17,9,14,17,15,5,14,5,15,3,14,27,7,5,14,2,15,4,14,3,15,3,14,3,15,1,18,2,15,1,8,3,15,1,14,3,15,1,18,1,15,1,14,3,18,1,14,1,16,4,3,1,14,2,18,1,8,2,18,2,14,2,18,3,8,2,18,1,8,42,10,2,8,16,18,2,8,3,10,9,8,2,10,12,8,8,10,42,8,1,10,18,8,1,10,46,8,2,10,3,8,2,10,76,18,1,10,93,18,1,10,14,18,4,10,213,18,1,4,6,19,8,4,6,18,3,10,37,8,5,10,32,18,2,10,16,18,3,10,55,4,5,19,5,4,1,10,20,18,2,10,33,18,1,10,10,18,1,10,14,8,2,10,4,8,2,10,5,18,2,10,34,18,4,10,9,8,13,10,10,8,6,4,5,19,7,4,20,19,6,4,3,10,26,8,1,10,3,8,11,10,5,9,2,4,1,19,8,4,584,},
{4,744,19,8,4,2,9,1,8,25,18,1,10,3,4,1,19,9,4,6,19,7,4,2,10,4,18,3,10,1,9,1,18,1,10,5,18,2,10,7,18,2,10,1,8,1,18,1,10,5,18,3,10,8,18,2,8,1,18,1,10,52,18,1,10,1,18,2,8,1,10,2,18,2,10,11,8,4,10,4,8,1,18,1,8,2,10,6,18,2,10,18,18,1,3,2,18,1,10,1,18,2,10,3,9,1,10,5,3,2,18,1,3,1,16,1,3,1,18,1,10,3,8,1,18,1,8,1,10,6,8,1,18,1,8,1,10,14,8,1,18,1,8,2,18,1,3,2,18,1,10,3,18,5,8,1,10,15,8,8,15,1,14,3,8,12,15,7,14,7,17,1,14,10,17,1,14,4,17,2,14,28,17,1,16,1,17,2,14,16,17,4,14,5,17,5,14,5,17,2,14,6,17,11,16,2,17,7,14,14,17,3,14,2,17,11,14,26,15,2,14,28,7,5,14,2,15,3,14,4,15,2,14,4,15,1,18,3,8,3,14,4,15,1,8,2,15,1,14,2,18,1,14,1,3,1,16,2,3,2,14,2,18,8,8,4,18,1,8,35,10,2,8,5,10,3,8,15,18,2,8,1,10,11,8,2,10,12,8,8,10,41,8,2,10,5,8,1,10,12,8,1,10,47,8,1,10,3,8,2,10,186,18,1,10,1,18,2,10,213,4,6,19,7,4,5,10,2,8,1,18,1,8,1,10,38,8,3,10,34,18,1,10,6,18,3,10,7,18,3,10,56,4,4,19,4,4,2,10,55,18,1,10,24,8,3,10,4,8,2,10,4,18,2,10,36,18,4,10,8,8,12,10,11,8,5,9,1,4,5,19,7,4,20,19,6,4,2,10,8,8,1,10,17,8,16,10,8,4,1,19,7,4,584,},
{4,744,19,8,4,2,9,1,8,26,18,2,10,1,4,4,19,6,4,5,19,7,4,2,18,2,8,1,10,5,9,1,18,3,10,19,18,1,10,1,8,2,18,1,8,2,10,1,8,1,18,2,10,5,18,1,8,2,18,1,10,40,18,3,10,4,18,4,10,2,18,2,10,3,18,2,10,11,8,4,10,3,8,4,10,7,18,1,10,19,18,3,8,1,10,1,18,2,10,3,18,2,10,2,9,1,3,1,16,2,3,4,10,3,8,1,14,1,3,1,18,1,10,6,8,1,18,1,8,1,10,14,8,1,18,1,8,1,10,1,18,2,14,1,18,1,10,3,8,2,18,3,8,2,10,13,8,9,15,1,14,2,15,1,18,1,8,4,18,1,8,5,18,1,15,6,14,18,17,3,14,3,17,2,14,28,17,3,14,13,17,2,14,1,17,6,14,4,17,3,14,8,17,16,16,4,17,5,14,16,17,3,14,8,17,6,14,54,7,2,15,9,14,3,15,2,14,5,15,1,18,2,15,1,8,3,14,4,15,1,8,2,18,1,14,2,15,2,14,6,18,8,8,41,10,2,8,6,10,2,8,18,10,25,8,7,10,42,8,2,10,5,8,2,10,11,8,1,10,171,8,1,10,65,18,6,10,213,18,1,4,17,10,2,8,4,10,81,18,2,10,8,18,3,9,1,10,55,4,4,19,4,4,2,10,80,8,3,10,4,8,1,10,3,8,1,10,1,18,1,10,22,8,3,10,14,18,2,10,6,18,1,10,1,8,10,10,12,8,7,4,5,19,7,4,14,19,9,4,5,10,13,8,1,10,11,8,19,10,6,4,2,19,6,4,584,},
{4,745,19,7,4,2,9,1,8,27,18,1,10,1,4,4,19,6,4,5,19,5,4,3,18,4,10,5,9,1,10,1,18,1,10,10,18,1,10,4,8,1,10,4,18,2,8,2,18,4,8,1,18,2,8,1,10,3,8,1,18,3,8,2,10,38,18,1,10,1,18,2,10,4,18,1,10,1,18,1,10,3,18,2,10,2,18,3,10,11,8,4,10,3,8,4,10,7,18,1,10,19,18,3,10,2,18,2,10,3,18,2,10,2,18,1,3,1,16,2,3,1,18,1,3,2,10,2,8,1,18,1,3,2,18,1,10,6,8,1,18,1,8,1,10,14,8,1,18,1,10,2,9,1,18,3,10,3,9,1,18,5,8,2,10,12,8,9,15,1,14,1,15,1,18,2,8,4,18,1,8,5,15,1,14,2,15,4,14,8,17,1,14,4,17,1,14,4,17,3,14,3,16,1,17,1,14,44,17,11,14,2,17,3,14,8,17,2,16,3,17,1,16,1,17,9,16,3,17,5,14,29,17,5,14,53,7,2,15,9,14,5,15,2,14,4,15,1,18,2,15,1,8,3,15,1,14,3,15,1,8,2,18,1,14,2,15,1,8,4,18,10,8,42,10,2,8,6,10,2,8,16,10,27,8,7,10,42,8,2,10,6,8,2,10,4,8,4,10,2,8,1,10,4,8,2,10,229,18,1,10,1,18,1,9,1,18,1,10,217,4,12,10,2,18,1,4,1,10,5,8,1,10,92,18,1,10,1,18,1,9,1,10,55,4,4,19,4,4,2,10,68,18,1,8,1,18,1,8,1,10,19,8,2,18,1,10,39,18,2,10,5,18,2,10,1,8,8,10,14,8,6,10,1,4,4,19,7,4,15,19,7,4,6,10,10,8,5,10,9,8,5,10,3,8,13,10,6,4,2,19,6,4,584,},
{4,746,19,7,4,1,9,1,8,23,10,1,8,3,18,1,10,2,4,3,19,7,4,4,19,4,4,2,18,6,10,23,8,1,10,4,8,2,18,1,8,1,18,3,9,1,8,8,18,2,8,1,10,40,18,3,10,5,18,2,10,3,18,2,8,1,10,2,18,3,10,12,8,4,10,1,8,5,10,6,18,2,10,9,8,1,10,1,18,2,10,6,18,2,8,1,10,3,18,1,10,4,18,1,10,2,9,1,18,1,3,2,9,1,18,1,3,4,18,2,14,1,18,1,8,1,10,6,8,1,18,1,8,1,10,14,8,2,10,3,9,1,18,2,10,4,18,5,8,1,10,12,8,10,15,1,14,1,18,2,15,1,18,1,8,2,18,2,8,4,18,1,15,1,14,2,15,3,14,14,17,2,14,3,17,3,14,3,17,2,14,9,17,1,14,34,17,7,16,1,17,4,14,1,17,3,14,7,17,3,16,3,17,11,16,2,17,5,14,4,17,1,14,25,17,5,14,42,15,3,7,1,14,7,7,2,15,9,14,4,15,3,14,4,15,1,18,2,15,1,8,4,15,1,14,2,15,1,18,1,15,2,14,2,15,1,8,5,18,9,8,2,10,1,8,6,18,5,8,28,10,2,8,6,10,1,8,16,10,28,8,7,10,43,8,1,10,6,8,2,10,4,8,4,10,2,8,1,10,4,8,2,10,229,18,4,10,317,18,1,10,15,18,3,10,57,4,2,19,4,4,2,10,68,18,3,9,1,10,18,8,4,10,46,18,2,8,1,10,1,8,7,10,14,8,5,10,1,4,2,19,9,4,15,19,7,4,3,10,14,8,5,10,9,8,4,10,5,8,9,10,9,4,3,19,5,4,584,},
{4,746,19,7,4,1,9,1,8,27,18,1,10,3,4,2,19,8,4,3,19,4,4,1,18,7,8,1,10,11,18,2,10,4,18,2,10,3,8,1,10,1,18,1,10,2,8,4,9,1,18,2,9,1,10,4,8,1,18,4,8,1,10,53,18,3,10,3,18,3,10,12,8,3,10,2,8,5,10,4,8,1,10,1,18,2,10,9,8,1,10,1,18,1,10,6,8,1,18,3,10,7,18,1,10,9,18,1,3,3,18,1,8,1,18,1,10,8,8,3,10,19,9,1,18,2,10,4,18,6,10,11,8,11,15,1,14,1,18,4,8,2,18,2,8,4,18,1,14,3,15,3,14,14,17,3,14,2,17,2,14,15,17,1,14,25,17,6,14,2,17,8,16,4,17,3,14,9,17,9,16,5,17,9,14,5,17,1,14,25,17,5,14,42,15,4,14,8,7,3,15,2,14,9,15,3,14,4,18,3,15,1,8,4,15,2,14,7,18,1,8,5,18,9,8,9,18,6,8,5,18,1,8,21,10,1,8,23,10,30,8,1,10,1,8,4,10,56,8,4,10,1,8,2,10,4,8,2,10,48,18,3,10,91,18,1,10,10,8,4,10,73,18,1,10,312,18,3,10,41,8,1,10,38,4,2,19,4,4,2,10,10,8,1,10,58,18,3,9,1,10,5,8,2,10,9,8,5,10,45,8,1,10,2,8,1,10,3,8,5,10,7,8,11,9,1,4,3,19,9,4,13,19,8,4,3,10,14,8,2,10,13,8,3,10,7,8,8,10,9,4,3,19,5,4,584,},
{4,746,19,7,4,1,9,1,8,27,18,1,10,3,4,3,19,7,4,3,19,4,4,1,18,4,8,5,10,3,8,3,10,4,18,8,10,4,18,3,10,2,8,3,9,1,18,2,8,1,10,4,8,4,18,1,8,1,10,5,8,2,10,45,18,4,10,3,18,3,10,17,8,5,10,3,8,1,18,2,10,1,18,1,10,6,8,1,10,11,18,6,10,15,9,1,18,3,9,1,10,10,8,4,10,18,18,1,3,1,14,1,10,4,18,2,8,2,18,1,8,1,10,11,8,11,15,1,14,1,18,3,8,3,18,2,8,4,18,1,14,3,15,4,14,13,17,3,14,2,17,1,14,16,17,1,14,25,17,6,14,2,17,8,16,4,17,3,14,2,17,2,14,4,17,10,16,5,17,9,14,3,17,3,14,6,17,3,14,16,17,1,14,1,17,1,16,1,17,2,14,42,15,3,14,9,7,1,14,5,15,1,14,5,15,4,14,4,15,1,18,2,15,1,8,4,15,2,14,6,15,3,14,4,18,9,8,10,18,5,8,5,18,2,8,42,10,34,8,4,10,56,8,2,10,3,8,2,10,4,8,2,10,6,18,1,10,40,18,4,10,4,18,1,10,86,18,1,10,9,8,5,10,9,8,1,10,77,18,3,10,224,8,1,10,71,18,3,9,1,10,40,8,1,10,38,4,2,19,4,4,2,10,10,8,1,10,59,18,2,9,1,10,4,8,3,10,8,8,4,10,17,18,1,10,36,8,5,10,7,8,12,4,2,19,9,4,13,19,8,4,4,10,13,8,3,10,26,8,4,10,6,8,3,9,1,4,3,19,5,4,584,},
{4,746,19,7,4,1,18,1,9,4,8,24,10,3,4,3,19,7,4,3,19,2,4,3,18,3,8,7,10,2,8,1,18,1,8,3,10,2,18,2,9,1,18,3,8,2,10,4,18,1,9,1,8,1,10,2,18,1,8,1,18,1,8,3,10,5,18,1,8,2,18,1,8,2,10,51,18,2,3,2,18,1,10,3,18,3,10,17,8,5,10,3,8,1,18,1,10,1,8,1,10,2,8,1,10,1,8,2,10,13,8,1,18,2,3,1,18,2,10,12,9,1,10,20,8,2,10,17,18,1,3,2,8,1,10,3,18,2,10,2,18,1,8,1,10,11,8,11,18,2,15,2,8,3,18,4,8,3,18,1,14,3,15,2,18,1,15,1,14,13,17,3,14,6,15,2,14,10,17,1,16,1,14,26,17,6,14,1,17,3,14,3,17,2,16,5,17,2,14,8,17,7,14,1,17,2,16,4,17,18,14,4,17,3,14,10,17,7,14,1,17,4,14,4,17,2,14,9,15,2,14,25,15,2,7,1,14,9,7,4,15,3,14,5,15,4,14,3,15,1,18,3,8,5,7,2,14,6,15,1,14,6,15,1,18,10,8,9,18,5,8,3,18,4,8,38,10,37,8,4,10,61,8,2,10,4,8,2,10,6,18,2,10,39,18,3,10,5,18,2,10,83,18,3,10,9,8,5,10,9,8,1,10,78,18,3,10,194,8,1,10,28,8,1,10,71,18,4,10,80,4,2,19,2,4,2,10,11,8,1,10,59,18,3,10,5,8,5,10,26,18,2,10,35,8,6,10,5,8,5,9,2,8,1,9,1,10,1,9,1,10,1,18,1,4,2,19,8,4,14,19,7,4,4,10,14,8,3,10,16,8,1,10,10,8,3,10,7,8,2,10,1,4,4,19,4,4,584,},
{4,746,19,8,4,5,10,1,8,23,10,1,8,1,10,2,4,2,19,7,4,6,18,4,8,2,10,2,8,2,18,1,8,2,10,1,8,4,18,1,10,2,18,1,9,1,18,2,10,1,8,2,10,4,9,1,18,1,10,2,8,1,10,1,8,1,18,1,8,1,18,1,10,4,8,3,18,1,8,9,10,4,18,1,10,29,18,1,10,11,8,1,18,1,3,3,18,1,10,2,18,4,10,9,8,3,10,6,8,4,10,2,8,1,18,2,10,2,8,1,10,4,8,1,10,4,8,1,10,4,18,1,10,4,8,1,18,3,10,3,18,1,10,2,18,1,10,4,18,4,10,11,18,1,10,7,8,2,10,17,18,1,3,2,18,1,10,3,18,2,10,2,18,1,8,1,10,12,8,5,18,5,8,1,18,1,14,1,15,1,8,2,18,6,8,2,18,1,14,3,15,2,18,1,15,1,14,13,17,1,16,1,17,1,14,5,15,1,8,1,15,1,14,2,15,2,14,6,17,1,16,1,14,29,17,7,14,4,17,1,16,5,17,1,14,9,17,10,16,4,17,18,14,5,17,1,14,9,17,2,16,1,17,5,14,2,17,3,14,4,17,4,14,8,15,2,14,25,15,2,14,9,7,1,15,2,7,1,15,5,14,4,15,5,14,2,15,1,18,3,8,3,15,2,14,6,15,3,14,3,18,2,8,2,18,12,8,8,18,5,8,2,18,5,8,34,10,16,8,3,10,12,8,2,10,7,8,3,10,60,8,3,10,6,8,1,10,6,18,3,10,39,18,1,10,7,18,1,10,82,18,5,10,8,8,5,10,28,18,1,10,59,18,2,10,195,8,2,10,27,8,1,10,71,18,4,10,81,4,4,18,1,10,11,8,1,10,27,8,1,10,32,18,1,9,1,10,6,8,3,18,2,8,1,10,23,18,3,10,10,8,1,10,11,8,1,10,12,8,7,10,3,8,6,10,1,4,9,19,6,4,16,19,7,4,2,10,8,8,4,10,5,8,2,10,15,8,3,10,14,8,1,10,8,4,591,},
{4,746,19,12,4,2,9,1,8,23,18,2,10,1,4,2,19,6,4,7,18,5,8,1,10,2,8,1,18,2,8,2,10,4,8,2,10,2,9,1,18,3,8,2,10,4,8,1,9,3,8,2,18,1,8,1,18,1,8,2,10,2,8,1,18,4,8,6,18,3,8,1,10,34,18,1,10,11,8,1,18,4,10,3,18,4,10,18,8,1,10,6,18,1,10,18,18,1,10,5,18,2,8,1,10,1,18,3,10,2,18,2,10,3,9,1,18,3,10,10,8,1,18,1,8,1,10,6,8,2,10,16,8,1,18,1,3,2,8,1,10,3,9,1,8,1,10,2,18,2,10,12,8,8,18,2,8,1,18,1,14,1,15,1,8,3,18,5,8,2,18,1,14,3,15,5,14,3,15,1,14,9,17,2,14,5,15,3,14,10,17,2,14,31,17,3,14,6,17,1,16,5,17,2,14,9,17,8,16,4,17,9,16,1,17,9,14,2,17,5,14,5,17,11,14,3,17,2,14,4,17,3,14,9,15,2,14,36,7,1,15,1,7,1,15,3,8,1,15,2,14,4,15,5,14,3,18,2,8,3,15,1,14,7,15,1,8,2,15,1,14,2,15,1,8,4,18,13,8,9,18,11,8,7,18,1,8,25,10,15,8,5,10,3,8,2,10,6,8,2,10,8,8,2,10,60,8,2,10,7,8,2,10,5,18,1,9,1,10,47,18,2,10,82,18,6,10,7,8,7,10,26,18,1,10,59,18,2,10,18,8,2,10,276,9,1,18,4,10,84,18,1,10,38,8,3,10,30,9,1,18,1,9,1,10,7,8,6,10,22,18,3,10,21,8,2,10,9,8,1,10,2,8,15,9,1,4,2,19,6,4,2,19,6,4,16,19,5,4,3,10,9,8,2,10,7,8,2,10,14,8,4,10,14,8,2,10,8,4,590,},
{4,752,19,6,4,2,10,6,18,1,8,19,10,1,4,2,19,7,4,6,18,6,10,2,8,3,10,2,8,3,10,2,8,1,10,3,8,3,18,1,8,4,10,1,8,23,18,3,8,1,10,7,18,2,10,47,18,3,10,20,18,3,10,2,18,1,10,4,18,1,10,14,18,1,10,1,9,1,10,1,18,3,10,2,18,3,10,9,8,1,18,1,9,1,10,9,8,1,18,1,8,1,10,5,8,2,10,15,18,6,10,8,8,1,18,2,8,1,10,9,8,9,18,6,8,6,18,2,8,2,15,14,14,10,17,3,14,49,17,2,14,6,17,1,16,5,17,2,14,9,17,2,16,1,17,6,16,3,17,7,16,4,17,8,14,1,17,6,14,4,17,5,14,3,17,2,16,1,17,2,14,2,17,3,14,19,3,3,14,26,15,5,14,6,15,4,14,3,15,4,14,4,15,1,8,2,18,1,15,2,14,6,18,1,8,3,18,1,14,2,18,1,8,3,18,17,8,7,18,4,8,2,18,4,8,5,18,3,8,2,18,1,8,15,10,1,8,6,10,14,8,3,10,6,8,3,10,5,8,3,10,8,8,2,10,3,8,1,10,64,8,2,10,7,18,1,10,108,8,2,10,23,18,3,10,8,8,1,10,2,8,1,10,1,8,1,10,31,8,1,10,4,8,1,10,6,8,3,10,24,8,1,10,1,8,1,10,5,8,4,10,1,18,3,10,8,8,1,10,1,8,3,10,5,8,4,10,277,18,4,10,84,18,2,10,14,8,1,10,21,8,3,10,30,8,4,10,3,8,3,10,4,8,3,10,45,8,1,10,13,8,7,10,2,8,7,9,1,4,2,19,6,4,24,19,2,4,6,10,17,8,2,10,13,8,3,10,14,8,4,10,9,4,590,},
{4,752,19,6,4,2,10,6,18,1,10,1,8,1,10,3,8,15,4,2,19,7,4,8,18,4,4,2,10,5,8,3,10,7,8,31,18,2,8,1,10,7,18,2,10,71,18,3,10,2,18,1,10,4,18,1,10,5,18,1,10,9,18,2,10,1,18,3,10,1,18,1,10,1,18,2,10,10,18,2,10,5,8,3,10,2,8,1,10,5,8,1,18,2,8,1,10,14,18,5,10,9,8,1,18,3,8,1,10,7,8,12,18,5,8,4,15,3,8,2,15,3,14,8,15,2,14,11,17,3,14,49,17,2,14,6,17,1,16,4,17,6,14,6,17,2,16,3,17,4,16,1,17,2,14,1,17,6,16,4,17,8,14,1,17,3,16,1,17,2,14,3,17,6,14,4,17,4,14,3,17,2,14,19,3,1,17,1,3,1,14,26,15,1,8,2,15,2,14,6,15,5,14,2,15,4,14,4,15,1,8,2,18,1,14,7,18,1,8,4,18,1,14,2,18,1,8,2,18,8,8,1,18,10,8,7,18,3,8,2,18,5,8,3,18,4,8,2,18,2,8,13,10,4,8,4,10,14,8,2,10,7,8,3,10,6,8,3,10,7,8,3,10,2,8,1,10,24,8,1,10,34,8,2,10,4,8,2,10,4,8,1,9,1,18,2,10,71,8,1,10,1,8,1,10,4,8,4,10,23,8,4,10,24,18,1,10,14,18,1,10,24,8,10,10,1,8,2,10,4,8,7,10,9,8,3,10,10,8,3,10,3,8,3,18,2,8,1,10,10,8,4,18,2,8,2,10,3,8,5,10,59,18,1,10,168,8,2,10,48,18,2,10,31,8,1,10,51,18,1,10,1,18,1,9,2,10,5,8,2,10,6,8,3,10,7,8,5,10,6,8,3,10,30,8,4,10,3,8,4,10,50,8,3,10,13,8,7,10,2,8,5,9,1,8,1,9,1,4,2,19,6,4,31,10,1,8,2,10,14,8,3,10,13,8,3,10,4,8,2,10,8,8,4,10,8,4,591,},
{4,752,19,7,4,3,10,4,18,2,8,1,10,3,8,15,4,1,19,10,4,14,10,2,8,4,10,13,8,25,18,2,8,1,10,19,18,1,8,1,10,73,18,4,10,11,18,3,10,4,18,2,10,5,18,2,10,1,8,1,3,2,18,1,9,1,10,3,8,1,10,11,18,3,8,1,10,13,8,1,18,1,9,2,8,2,10,9,8,1,18,2,10,8,8,12,18,6,8,2,18,1,15,3,8,2,15,2,14,82,17,1,16,4,17,2,16,3,17,1,14,6,17,1,16,4,17,6,14,3,17,17,14,1,17,4,16,1,17,2,14,1,6,1,17,2,16,3,17,2,14,3,17,4,14,23,3,2,14,28,15,5,14,7,15,3,14,4,15,3,14,3,15,2,8,2,18,2,14,5,18,2,8,5,18,24,8,8,18,2,8,3,18,4,8,3,18,4,8,2,18,2,8,12,10,6,8,1,10,16,8,2,10,7,8,3,10,7,8,1,10,8,8,2,10,3,8,1,10,58,8,3,10,4,8,1,10,6,9,1,10,78,8,6,10,23,8,4,10,64,8,1,10,1,8,7,10,8,8,8,10,8,8,2,10,4,8,19,10,10,8,6,18,1,8,2,10,2,8,3,10,304,8,1,10,5,8,2,10,54,18,4,8,1,10,4,8,2,10,15,8,5,10,6,8,3,10,32,8,3,10,3,8,3,10,51,8,2,10,14,8,7,10,2,8,4,18,1,4,1,18,1,4,3,19,6,4,23,18,1,9,1,4,1,10,7,8,2,10,26,8,1,10,3,8,8,10,7,8,6,10,4,8,1,10,1,4,592,},
{4,752,19,8,4,2,10,6,8,18,10,1,4,2,19,9,4,4,19,8,4,2,10,2,8,4,10,12,8,11,10,9,8,6,18,1,8,2,10,18,18,3,10,74,18,3,10,11,18,3,10,2,18,5,10,3,8,1,18,2,10,1,9,1,3,3,18,1,10,3,8,1,10,12,18,2,8,1,10,18,18,2,8,1,10,8,8,2,10,7,8,13,18,9,15,1,14,1,15,2,8,1,15,2,14,34,7,1,14,46,17,8,16,3,17,1,14,6,17,1,16,4,17,4,14,6,17,3,14,1,17,5,14,1,17,6,14,2,17,3,16,3,17,4,16,4,17,1,14,11,17,1,14,18,3,2,14,28,15,4,14,1,15,1,14,17,15,6,18,1,14,4,18,2,8,8,18,22,8,17,18,7,8,17,10,32,8,3,10,15,8,3,10,2,8,2,10,59,8,3,10,10,18,2,10,78,8,4,10,24,8,1,10,2,8,2,10,32,8,1,10,3,8,1,10,1,18,2,10,2,8,1,10,2,18,1,10,5,8,1,10,1,18,4,10,6,8,5,10,11,8,10,10,6,8,2,10,5,8,8,10,1,8,1,18,2,8,3,10,3,8,1,10,10,8,5,18,2,8,2,10,1,8,4,10,304,8,2,10,3,8,2,10,27,18,1,10,28,18,3,8,1,10,21,8,4,10,7,8,2,10,33,8,3,10,4,8,2,10,29,18,2,10,37,8,3,10,1,8,2,10,1,8,4,9,1,4,6,19,5,4,23,18,1,9,1,10,10,8,2,10,3,8,2,10,19,8,3,10,3,8,6,10,5,8,14,10,1,4,592,},
{4,752,19,8,4,2,10,6,8,18,10,1,4,2,19,9,4,4,19,8,4,2,10,2,8,3,10,13,8,6,10,14,8,8,10,12,18,2,10,4,8,1,18,1,14,1,18,1,10,18,9,1,10,47,18,2,10,7,18,1,10,9,18,1,10,3,8,1,10,6,18,2,10,4,18,2,10,2,18,1,3,2,18,1,10,3,8,1,10,2,8,2,10,9,18,1,8,1,10,13,8,1,10,4,18,3,10,8,8,2,10,6,8,5,18,3,8,4,18,7,8,1,18,3,15,6,14,35,15,2,14,51,17,2,16,3,17,2,14,4,17,2,16,4,17,4,14,6,17,2,14,3,17,4,14,1,17,6,14,2,17,3,16,5,17,2,16,4,17,1,14,9,17,4,14,16,3,3,14,28,15,4,14,19,15,6,18,3,14,2,18,2,8,9,18,10,8,1,18,8,8,19,18,7,8,8,18,1,8,7,10,3,8,2,10,28,8,3,10,15,8,2,10,2,8,3,10,60,8,1,10,11,18,2,10,77,18,1,8,2,10,15,8,1,10,6,8,5,10,40,8,1,10,1,18,2,10,2,8,2,10,1,18,2,10,1,8,1,10,2,8,1,10,1,18,1,8,2,18,1,8,1,10,5,8,5,10,10,8,18,10,7,8,6,10,3,8,1,18,1,8,2,10,15,8,2,10,1,8,5,10,2,8,3,10,304,8,3,10,4,8,1,10,26,18,2,10,28,18,3,10,23,8,3,10,43,8,1,10,5,8,1,10,31,18,1,10,37,8,2,10,2,8,8,4,34,9,1,10,11,8,2,10,3,8,7,10,14,8,1,18,2,8,1,10,2,8,5,10,5,8,15,10,1,4,4,19,3,4,585,},
{4,752,19,8,4,8,9,2,8,15,10,3,4,1,19,9,4,4,19,8,4,3,18,1,8,2,10,7,8,4,10,23,8,3,10,2,8,2,10,6,18,1,10,5,18,3,10,3,8,1,18,4,10,18,18,1,10,24,18,1,10,23,18,1,10,10,9,1,10,6,18,1,10,1,18,1,10,8,18,2,10,8,8,1,18,2,9,1,10,3,8,1,10,2,18,2,8,1,10,22,8,2,10,4,18,3,10,15,8,5,18,5,8,1,18,9,8,1,18,4,15,2,14,6,15,1,14,10,17,2,14,18,15,1,8,1,15,1,14,16,17,2,14,34,17,6,14,5,17,2,16,3,17,4,14,5,17,3,14,3,17,2,16,1,17,3,14,1,17,4,14,2,17,3,16,5,17,2,16,4,17,1,14,8,17,5,14,9,17,2,14,6,3,2,14,29,15,1,14,12,15,2,14,7,15,3,14,3,18,2,14,2,18,2,8,3,10,1,8,6,18,10,8,1,18,8,8,3,18,3,8,8,18,1,8,4,18,7,8,1,18,1,8,4,18,4,8,6,10,3,8,3,10,27,8,5,10,13,8,2,10,31,8,1,10,8,8,1,10,37,18,2,10,63,18,1,10,12,18,1,10,1,8,1,10,15,8,2,10,4,8,6,10,4,18,4,10,29,8,1,10,2,8,2,18,2,8,5,18,3,8,2,10,1,8,2,18,1,8,2,18,1,8,1,10,4,8,7,10,8,8,19,10,7,8,5,10,4,8,3,10,15,8,2,10,10,8,2,10,320,8,1,10,18,18,2,10,16,8,1,10,11,18,2,10,23,8,2,10,69,18,2,10,46,8,1,10,2,8,2,10,2,8,7,10,1,4,34,10,13,8,12,10,13,18,4,8,1,10,1,8,5,10,5,8,6,10,3,8,6,10,1,4,3,19,5,4,584,},
{4,752,19,9,4,9,10,1,8,12,10,5,4,2,19,21,4,3,10,5,8,8,10,6,8,2,18,4,8,1,10,10,8,3,10,2,8,2,10,13,18,2,10,3,18,3,8,1,10,18,8,1,18,1,10,23,18,2,10,7,18,1,10,19,18,1,10,5,18,3,10,5,18,1,10,10,18,2,10,3,18,1,10,14,18,2,8,1,10,21,8,2,10,5,18,3,10,15,8,5,18,9,14,2,18,4,8,2,18,4,15,1,14,4,15,5,14,8,17,2,14,18,15,1,8,1,15,1,14,11,17,1,14,4,17,1,16,1,14,6,17,2,14,27,17,1,14,2,17,2,14,6,17,8,14,5,17,3,14,3,17,1,16,3,17,2,14,8,17,9,16,3,17,2,14,6,17,4,16,1,17,2,14,9,17,2,14,49,15,4,14,6,15,2,14,4,15,1,18,2,15,1,18,2,8,10,18,10,8,3,18,6,8,3,18,4,8,6,18,2,8,4,18,7,8,1,18,2,8,1,18,6,8,7,10,2,8,3,10,28,8,5,10,12,8,2,10,9,8,3,10,14,8,1,10,3,8,3,10,6,8,2,10,37,18,4,10,76,8,1,10,13,8,4,10,4,8,6,10,2,8,2,18,3,10,30,8,1,10,2,8,2,18,3,8,4,18,3,8,2,10,2,8,2,18,3,8,1,10,4,8,8,10,7,8,7,10,3,8,10,10,6,8,4,10,5,8,3,10,5,8,1,10,8,8,3,10,11,8,1,10,339,18,1,10,16,8,2,10,107,18,2,10,23,8,2,10,20,8,6,10,1,8,7,4,3,19,5,4,28,10,6,8,1,10,6,8,13,10,12,8,1,18,3,8,1,10,2,8,4,10,6,8,5,10,4,8,4,10,2,4,2,19,6,4,584,},
{4,752,19,17,4,1,9,1,8,12,10,5,4,2,19,23,4,1,10,5,8,8,10,5,18,8,10,9,8,4,10,2,8,1,10,8,18,1,10,10,8,3,10,19,8,1,18,1,10,23,18,2,10,6,18,2,10,5,18,2,10,11,18,3,10,3,8,1,18,3,10,16,9,1,10,4,18,1,10,45,18,2,8,1,10,3,8,2,10,10,8,5,18,5,8,1,18,3,14,3,18,8,15,2,14,4,15,2,8,1,15,2,14,7,17,2,14,19,15,3,14,11,17,1,14,4,17,1,16,1,17,1,14,4,17,1,16,2,14,45,17,1,14,5,17,2,14,4,17,1,16,4,17,1,14,9,17,4,14,2,17,7,14,3,17,9,14,11,17,1,14,3,15,3,14,43,8,3,15,1,14,12,15,1,18,5,8,10,18,10,8,3,18,5,8,4,18,5,8,5,18,2,8,4,18,7,8,1,18,2,8,2,18,5,8,4,18,1,8,2,10,2,8,3,10,28,8,4,10,9,8,2,10,2,8,2,10,9,8,3,10,13,8,3,10,3,8,3,10,4,8,2,10,26,8,1,10,11,18,5,10,63,18,2,10,10,8,1,10,3,8,1,10,8,8,5,10,4,8,10,18,3,10,20,18,2,10,8,8,2,10,1,8,2,18,3,8,5,18,3,8,2,10,2,8,5,10,3,8,2,18,1,8,7,10,6,8,6,10,5,8,11,10,3,8,5,10,5,8,3,10,4,8,2,10,380,8,1,10,74,8,2,10,6,8,1,10,23,18,3,10,23,8,2,10,14,8,2,10,5,8,12,10,1,4,2,19,6,4,28,10,5,8,2,10,6,8,12,10,13,8,1,18,4,10,2,8,4,10,5,8,6,10,6,8,1,10,2,4,2,19,7,4,584,},
{4,752,19,17,4,1,9,1,8,13,10,4,4,2,19,23,4,2,10,4,8,8,10,4,8,2,18,6,10,10,8,4,10,1,8,1,10,8,18,2,10,32,9,2,10,24,18,2,10,6,18,1,10,5,18,2,10,10,18,2,10,5,18,3,10,3,18,1,10,13,18,1,10,28,8,2,10,19,9,1,18,1,8,1,10,4,8,1,18,1,8,1,10,9,8,6,18,3,8,2,18,3,15,1,14,2,18,2,15,7,14,5,15,2,8,1,15,2,14,4,17,3,14,28,15,1,14,11,17,1,16,1,17,1,14,3,17,1,16,3,14,25,17,2,14,19,17,1,14,11,17,1,16,3,17,1,14,15,17,4,14,3,17,4,16,4,17,2,14,17,15,1,8,2,15,1,14,29,15,2,14,10,15,1,8,3,15,1,14,3,15,3,14,6,18,3,14,1,18,2,8,5,18,9,8,2,18,4,8,3,18,5,8,4,18,5,8,5,18,1,8,6,18,4,8,8,18,3,8,5,18,2,8,1,10,2,8,3,10,24,8,1,10,3,8,1,10,11,8,4,10,2,8,1,10,2,8,1,10,5,8,4,10,13,8,3,10,8,8,4,10,23,8,1,10,1,8,2,10,12,18,4,10,62,18,5,10,9,8,17,10,4,8,9,18,4,10,20,9,1,18,1,10,3,18,1,10,1,18,2,10,1,8,6,18,2,8,5,18,3,8,2,10,2,8,5,10,3,8,1,18,2,8,8,10,5,8,6,10,6,8,4,10,2,8,11,10,5,8,1,18,3,8,4,10,10,8,1,18,1,10,445,8,2,10,6,8,2,10,22,18,3,10,2,8,2,10,34,8,3,10,9,8,7,10,2,4,2,19,6,4,19,19,5,4,4,10,5,8,2,10,6,8,5,10,2,8,5,10,14,18,4,8,1,10,2,8,5,10,1,8,9,10,8,4,2,19,6,4,585,},
{4,753,19,16,4,1,10,1,8,2,10,4,8,7,10,4,4,3,19,22,4,1,18,1,10,3,8,9,10,21,8,1,10,2,8,4,10,2,18,1,10,5,18,2,10,32,9,1,10,51,18,2,10,1,8,1,18,1,10,3,8,2,10,2,18,2,10,11,9,1,18,2,10,2,8,1,10,4,8,4,18,1,8,1,10,14,18,3,10,19,8,2,10,5,8,1,18,2,10,9,8,7,18,2,8,3,18,2,14,3,18,2,15,3,14,9,15,4,14,4,17,3,14,19,17,1,14,6,15,1,14,1,15,1,8,1,15,1,14,2,15,1,14,7,17,1,16,2,14,3,16,3,17,1,14,23,17,4,14,18,17,2,14,11,17,1,16,3,17,2,14,6,17,2,14,7,17,1,14,6,17,2,16,5,17,1,14,18,15,1,8,3,14,29,15,3,14,8,15,1,8,3,15,1,14,4,15,3,14,6,18,8,8,1,18,4,14,1,18,6,8,2,18,4,8,5,18,4,8,3,18,5,8,12,18,4,8,16,18,2,8,1,10,3,8,1,10,24,8,2,10,4,8,1,10,10,8,4,10,4,8,3,10,4,8,4,10,14,8,2,10,8,8,4,10,23,8,5,10,73,18,1,10,3,18,4,10,11,8,12,10,1,8,3,10,4,8,9,10,1,18,2,10,20,18,3,9,1,18,1,10,1,18,1,10,4,8,7,18,1,8,2,10,2,8,6,10,2,8,5,10,3,8,1,18,2,8,9,10,6,8,4,10,7,8,3,10,2,8,10,10,3,8,3,18,5,8,3,10,11,18,3,10,12,8,1,10,17,8,4,10,289,18,1,10,99,8,3,10,17,8,2,10,6,8,2,10,10,8,2,10,10,18,3,9,1,8,2,10,12,18,2,10,2,18,1,10,16,8,6,10,9,8,6,10,2,4,2,19,6,4,18,19,6,4,3,10,14,8,5,10,22,8,1,18,2,10,3,8,16,10,7,4,1,19,7,4,585,},
{4,754,19,15,4,1,9,1,8,2,10,1,8,10,10,5,4,4,19,9,4,4,19,6,4,2,18,1,10,2,8,4,10,2,8,4,10,13,8,4,10,4,8,1,18,1,10,1,8,2,10,1,8,2,18,4,10,2,18,3,10,32,9,1,10,48,8,1,10,2,18,1,10,2,18,2,10,7,18,2,10,11,18,3,10,2,8,1,18,4,10,2,18,3,8,1,10,13,8,1,18,2,8,1,10,10,8,1,10,7,9,1,18,1,10,7,18,2,10,10,8,10,18,2,15,1,14,4,18,1,15,2,14,10,15,2,14,5,17,2,14,21,17,1,14,5,15,4,8,1,15,1,14,10,16,3,17,1,14,1,17,1,16,3,14,9,17,1,14,5,17,2,14,6,17,1,16,3,17,1,14,4,17,1,14,11,17,4,14,12,17,2,16,2,17,3,14,1,17,6,14,13,17,3,16,2,17,2,14,17,3,1,14,1,15,1,8,3,15,1,14,2,3,2,14,24,15,3,14,7,15,1,8,3,15,1,14,6,15,1,14,7,18,4,14,2,18,5,15,1,14,2,15,2,18,3,8,3,18,4,8,5,18,5,8,2,18,6,8,12,18,2,8,18,18,1,8,2,10,27,8,2,10,3,8,1,10,11,8,4,10,5,8,1,10,5,8,4,10,15,8,1,10,7,8,4,10,3,8,2,10,18,8,6,10,73,18,1,10,3,18,4,10,12,8,15,10,5,8,8,10,24,18,2,9,1,10,7,8,10,10,3,8,5,10,1,8,7,10,2,8,12,10,7,8,3,10,8,8,13,10,4,8,2,18,1,8,1,18,4,8,5,10,9,18,2,10,2,18,3,8,1,10,7,8,1,10,16,8,6,10,281,18,1,10,5,18,2,10,64,18,1,10,36,8,1,10,17,8,2,10,6,8,1,10,22,18,4,10,1,8,2,10,12,18,5,10,6,8,1,10,8,8,7,10,9,8,5,10,3,4,2,19,6,4,18,19,6,4,2,10,15,8,4,10,29,8,17,10,5,4,2,19,6,4,586,},
{4,754,19,14,4,2,10,1,8,14,10,5,4,3,19,8,4,5,19,6,4,2,18,1,8,6,10,3,8,3,10,5,8,13,10,3,8,3,10,1,8,1,10,1,8,1,10,1,18,1,10,1,18,6,10,10,8,3,10,23,18,2,8,1,10,29,18,1,10,13,8,1,10,4,8,1,18,2,10,1,18,2,10,17,18,3,10,3,18,4,10,2,18,1,14,1,18,1,8,1,10,4,8,1,10,6,8,3,18,1,8,1,10,19,8,1,18,1,10,7,18,1,8,1,10,11,8,8,18,2,15,1,14,5,15,3,14,46,15,4,8,1,15,1,14,10,16,4,14,1,17,1,16,2,17,1,14,9,17,2,14,4,17,2,14,4,17,1,16,4,17,3,14,2,17,3,14,9,17,3,16,1,17,2,14,11,17,11,16,1,17,2,14,15,17,2,14,20,3,1,14,2,15,1,8,2,15,1,14,2,3,2,14,23,15,4,14,7,15,1,8,3,14,15,18,4,14,3,18,12,8,3,18,4,8,6,18,5,8,5,18,2,8,35,10,28,8,1,10,3,8,2,10,10,8,6,10,9,8,4,10,23,8,4,10,2,8,4,10,18,8,4,10,2,8,2,10,63,18,1,10,6,18,1,10,20,8,9,10,5,8,1,10,6,8,6,10,24,18,3,10,7,8,1,18,2,8,7,10,3,8,2,10,3,8,22,10,7,8,5,10,6,8,6,10,1,8,1,10,9,8,2,18,6,8,5,10,10,18,1,10,5,18,1,10,7,8,1,10,15,8,7,10,6,8,1,10,274,18,1,10,71,18,1,10,70,8,1,10,14,18,4,8,3,10,13,18,3,10,1,18,1,10,5,8,1,10,7,8,8,10,3,8,2,10,5,8,1,10,6,4,2,19,6,4,18,19,5,4,3,10,15,8,4,10,21,8,1,10,9,8,16,10,4,4,3,19,4,4,587,},
{4,754,19,14,4,2,8,15,10,5,4,3,19,8,4,5,19,6,4,2,18,1,8,5,10,12,8,19,10,5,18,1,10,1,18,2,10,2,18,2,10,9,8,1,18,2,8,1,10,23,18,2,8,1,10,29,18,2,10,6,18,2,10,9,18,3,10,1,18,1,10,1,18,3,10,14,18,2,10,4,8,1,18,3,10,2,18,3,10,4,18,2,10,5,8,1,18,1,8,3,10,20,8,1,9,1,10,7,8,1,10,12,8,7,18,3,14,6,15,3,14,4,15,1,14,42,15,5,14,10,17,1,16,3,17,5,14,9,16,1,17,1,14,4,17,2,14,3,17,1,16,4,17,1,14,2,17,5,14,1,17,10,16,3,17,2,14,2,17,3,14,6,17,1,14,1,17,8,16,3,17,2,14,36,3,2,14,2,15,1,8,2,15,1,14,1,3,2,14,24,15,2,14,7,15,1,8,3,15,1,14,15,18,4,14,4,18,11,8,2,18,6,8,5,18,5,8,6,18,2,8,36,10,5,8,3,10,22,8,3,10,9,8,6,10,9,8,3,10,24,8,3,10,3,8,2,10,23,8,1,10,1,8,3,10,63,18,1,10,28,8,7,10,6,8,2,10,5,8,6,10,23,18,3,10,8,8,1,18,3,8,1,10,2,8,4,10,2,8,2,10,3,8,10,10,3,8,8,10,8,8,5,10,6,8,6,10,11,8,3,18,4,8,4,10,6,18,2,10,10,8,2,10,15,8,4,10,3,8,7,10,357,8,3,10,34,8,1,10,29,8,2,10,7,8,1,10,5,18,1,10,1,8,4,10,4,8,4,10,6,18,3,10,1,18,1,8,1,10,16,8,4,10,3,8,2,10,12,4,2,19,6,4,14,19,6,4,6,10,17,8,2,10,15,8,3,10,3,8,3,10,4,8,1,10,4,8,7,10,4,8,3,10,4,4,594,},
{4,754,19,11,4,5,10,1,8,12,10,1,8,1,10,5,4,3,19,9,4,4,19,6,4,2,18,1,8,4,10,1,8,3,10,9,8,13,10,2,8,4,10,5,18,4,10,7,18,2,10,4,8,3,10,20,8,2,10,2,18,2,10,30,18,2,10,5,18,3,10,9,8,1,18,2,10,1,18,5,10,14,18,2,10,4,8,1,18,2,10,3,8,1,18,1,8,1,10,3,8,1,18,2,10,5,8,2,10,23,9,1,10,21,8,7,18,2,15,1,14,6,15,3,14,20,15,1,14,26,15,3,14,11,17,7,14,12,17,2,14,9,17,1,16,3,17,1,14,4,16,2,17,1,14,3,17,2,16,4,17,3,16,3,17,4,16,3,17,1,14,5,17,1,14,7,17,2,16,2,17,7,14,3,17,4,14,25,3,3,14,2,8,3,14,2,3,2,14,32,15,1,8,1,10,1,8,1,14,1,3,1,14,13,15,1,18,3,14,5,18,2,8,5,18,4,8,2,18,6,8,6,18,4,8,6,18,2,8,22,10,1,8,22,10,21,8,4,10,6,8,1,10,1,8,6,10,5,8,1,10,3,8,1,10,10,8,1,10,5,8,2,10,3,8,2,10,2,8,4,10,2,8,1,10,4,8,1,10,22,8,1,18,1,8,1,10,64,18,4,10,26,8,4,10,7,8,3,10,5,8,4,10,25,18,1,10,10,18,1,8,1,18,1,8,1,10,2,8,4,10,6,8,2,18,1,8,9,10,2,8,7,10,10,8,4,10,6,8,6,10,6,8,16,10,4,18,4,10,25,8,7,10,1,8,4,10,361,8,2,10,35,8,2,10,27,8,3,10,7,8,1,10,3,18,3,10,1,8,4,10,4,8,5,10,5,8,1,18,3,8,4,10,16,8,3,10,1,8,3,10,11,4,3,19,3,4,17,19,5,4,5,18,1,10,34,8,4,10,3,8,3,10,3,8,2,10,5,8,6,10,5,8,1,10,4,4,595,},
{4,770,9,1,8,7,10,3,8,2,18,2,10,5,4,4,19,18,4,2,18,1,10,5,8,3,10,3,8,1,10,5,8,20,10,4,18,3,10,9,18,1,10,27,8,1,10,3,18,2,10,37,18,2,10,11,8,1,10,5,18,2,10,14,18,2,10,4,8,1,18,1,10,2,8,1,18,2,9,1,10,4,8,1,18,1,10,13,8,1,10,24,8,1,10,14,8,7,18,3,15,1,14,5,15,2,14,17,17,1,14,3,15,1,14,15,17,2,14,10,15,2,14,15,17,1,16,1,17,1,14,23,16,4,14,5,16,2,14,4,17,2,16,4,17,10,16,5,17,1,14,11,17,6,14,2,17,3,14,2,17,1,16,4,17,1,14,3,15,2,14,20,3,3,14,1,8,1,10,1,8,1,15,1,14,34,15,2,8,1,10,1,8,1,14,1,3,1,14,12,15,2,18,4,14,4,18,1,8,7,18,3,8,2,18,6,8,7,18,3,8,6,18,3,8,4,18,3,8,6,18,3,8,4,10,2,8,15,10,1,8,6,10,21,8,4,10,4,8,10,10,3,8,3,10,2,8,2,10,10,8,2,10,4,8,3,10,2,8,2,10,2,8,3,10,2,8,2,10,3,8,2,10,22,18,2,8,1,10,64,18,2,10,1,18,2,10,19,8,12,10,5,8,3,10,5,8,3,10,17,18,2,10,18,18,1,8,1,18,1,8,1,10,3,8,4,10,4,8,1,18,3,8,9,10,2,8,4,10,1,8,1,10,4,8,1,10,7,8,4,10,5,8,6,10,5,8,2,18,2,8,3,10,2,8,8,18,3,10,30,8,2,18,3,8,4,10,364,8,1,10,36,8,2,10,26,8,2,10,9,8,1,10,1,18,2,10,3,8,5,10,4,8,5,10,7,8,9,10,14,8,5,10,5,8,2,4,7,19,3,4,18,19,5,4,2,10,10,8,1,10,22,8,2,10,4,8,2,10,10,8,2,10,7,8,4,10,9,4,3,19,2,4,591,},
{4,770,9,1,8,6,10,4,8,1,18,3,10,5,4,4,19,18,4,2,18,1,8,1,10,4,8,3,10,2,8,3,10,4,8,8,10,5,8,2,10,3,8,2,10,44,8,1,10,3,8,2,10,26,18,2,10,8,18,3,10,28,18,1,10,4,18,2,10,4,18,2,10,2,8,1,18,1,8,1,10,5,8,1,10,13,8,2,10,3,8,3,10,6,8,2,10,10,8,1,10,14,8,8,18,1,8,1,18,1,15,1,14,5,15,1,14,66,17,3,14,23,17,1,16,1,17,1,14,6,17,2,14,4,17,2,16,4,17,9,16,6,17,3,14,11,17,3,14,3,17,6,16,4,14,3,7,1,15,2,14,21,3,1,14,2,8,1,10,2,8,1,14,34,15,2,8,3,14,1,3,1,14,11,15,3,14,2,18,2,14,3,18,1,8,3,10,2,8,4,18,2,8,3,18,5,8,12,10,2,8,3,18,2,8,4,18,3,8,6,18,3,8,28,10,21,8,5,10,2,8,10,10,4,8,3,10,13,8,3,10,4,8,3,10,2,8,1,10,3,8,3,10,2,8,2,10,27,18,3,8,1,10,64,18,3,10,9,18,1,10,10,8,11,10,3,8,1,10,2,8,4,10,4,8,4,10,36,8,2,18,1,8,1,10,3,8,3,10,2,8,4,18,3,8,2,10,2,8,11,10,6,8,6,10,3,8,3,10,6,8,6,10,4,8,7,10,6,8,3,18,3,10,30,8,3,18,3,8,4,10,393,8,3,10,5,8,2,10,19,8,3,10,2,8,3,10,18,8,4,10,4,8,7,10,3,8,3,10,2,8,6,10,24,8,1,10,1,4,5,19,5,4,18,19,5,4,1,10,34,8,3,10,3,8,2,10,21,8,2,10,9,4,1,19,5,4,590,},
{4,757,19,4,4,9,9,1,8,10,10,1,8,1,10,7,4,5,19,18,4,1,18,2,8,1,10,1,8,3,10,3,8,3,10,4,8,9,10,3,8,1,10,1,8,1,10,1,8,1,10,4,18,3,10,8,18,1,10,3,18,1,10,27,8,2,10,9,8,1,10,24,18,1,10,6,18,3,10,32,18,4,10,2,18,3,10,5,8,1,18,2,8,1,10,19,8,1,18,3,10,5,18,3,10,25,8,4,10,2,8,4,18,1,15,1,14,29,17,1,16,1,17,1,14,3,17,5,14,17,17,1,14,1,15,2,14,11,3,1,14,10,15,2,14,28,17,2,16,6,17,6,16,6,17,4,14,5,15,3,14,3,17,3,14,3,17,6,16,2,17,2,14,2,15,4,14,9,17,1,16,1,17,1,3,1,14,9,15,1,18,1,8,1,10,2,8,2,15,1,14,32,15,1,8,1,10,1,8,1,15,1,14,4,3,3,14,16,8,2,10,3,8,5,18,1,8,6,18,2,8,13,10,2,8,10,18,1,8,38,10,21,8,17,10,19,8,3,10,3,8,6,10,5,8,3,10,31,18,1,14,2,8,1,10,87,8,9,10,5,18,1,10,5,8,1,10,5,8,4,10,5,18,2,10,27,8,3,10,2,8,3,10,5,8,1,18,1,8,4,10,5,8,12,10,6,8,5,10,3,8,4,10,5,8,6,10,3,8,3,10,1,8,4,10,8,8,2,10,14,8,1,10,17,8,6,10,384,8,2,10,39,8,8,10,21,8,2,10,4,8,1,10,3,8,1,18,2,8,14,10,26,4,4,19,5,4,15,19,6,4,4,10,36,8,2,10,36,4,1,19,5,4,590,},
{4,756,19,6,4,8,18,1,9,9,10,6,18,2,10,1,4,6,19,16,4,3,10,1,18,1,8,3,10,5,8,2,10,4,8,2,9,4,8,4,10,14,18,1,10,11,18,2,10,27,8,3,10,8,8,1,10,23,18,2,10,6,18,2,10,13,18,3,10,9,18,1,10,7,18,4,10,2,18,1,9,1,10,1,18,1,10,4,8,1,14,2,8,1,10,19,8,1,18,3,10,4,8,1,18,3,10,26,8,3,10,3,8,4,15,2,14,27,17,1,16,4,17,6,14,17,17,1,16,1,14,1,8,2,14,8,3,1,14,12,15,3,14,18,17,1,14,9,17,2,16,1,17,1,16,5,17,4,16,6,17,6,14,5,15,3,14,3,17,3,14,3,17,7,14,3,15,5,14,10,17,1,3,2,14,7,15,2,8,8,18,1,15,1,14,3,15,2,14,10,15,2,14,6,15,2,14,3,3,2,14,1,8,1,10,1,8,1,14,5,3,3,14,4,3,1,14,11,8,1,10,4,8,5,18,1,8,63,18,1,8,9,10,21,8,15,10,9,8,3,10,8,8,2,10,3,8,5,10,19,8,1,10,21,18,1,14,2,18,1,10,87,8,1,18,2,8,4,18,1,8,1,10,4,18,2,10,12,8,3,10,33,18,1,8,1,10,4,8,3,10,4,8,1,18,2,8,3,10,6,8,8,18,1,8,3,10,6,8,5,10,3,8,2,10,1,8,1,10,5,8,5,10,4,8,2,10,3,8,3,10,9,8,1,10,14,8,1,10,16,8,2,10,1,8,1,10,1,8,2,10,384,8,3,10,38,8,8,10,10,8,1,10,15,18,1,10,4,8,1,18,2,8,13,10,7,8,3,10,17,4,4,19,5,4,15,19,6,4,3,18,1,10,36,8,2,10,34,4,3,19,5,4,590,},
{4,749,19,4,4,3,19,8,4,4,19,2,4,25,19,13,4,4,18,1,9,1,10,1,8,3,10,13,8,1,9,1,18,4,9,1,8,1,10,8,18,1,10,5,18,3,10,10,18,2,10,29,8,1,10,31,18,1,10,8,18,2,10,12,18,4,10,8,18,3,9,1,10,4,18,3,10,3,18,2,10,2,8,1,10,4,8,1,18,1,8,1,10,21,8,3,10,3,8,1,18,3,10,27,8,3,10,4,8,3,15,2,14,27,17,1,16,5,17,1,14,14,15,1,8,1,15,2,14,4,17,1,14,1,15,2,14,6,3,1,17,1,3,2,14,31,17,1,16,1,17,1,14,7,17,2,16,8,17,4,16,5,17,9,14,9,17,5,14,1,17,2,16,3,17,2,14,3,15,5,14,19,15,1,8,5,18,1,15,3,18,1,8,5,15,2,14,18,15,2,14,3,3,2,14,1,8,2,15,1,14,6,3,1,14,17,8,2,10,2,8,5,18,4,8,72,10,19,8,16,10,9,8,3,10,9,8,2,10,3,8,3,10,42,18,1,14,2,18,1,10,13,18,1,10,72,18,3,8,4,18,3,10,17,8,5,10,33,8,2,10,2,8,4,10,4,8,2,18,1,8,3,10,6,8,8,18,1,8,4,10,6,8,4,10,12,8,5,10,4,8,8,10,9,8,2,10,13,8,1,10,10,8,8,18,1,8,6,10,424,8,1,10,1,8,5,10,9,8,2,10,12,8,1,10,1,8,1,10,5,8,15,10,25,4,7,19,5,4,14,19,7,4,2,18,1,10,49,8,2,10,19,4,5,19,6,4,120,19,4,4,466,},
{4,748,19,6,4,2,19,8,4,4,19,9,4,17,19,14,4,4,8,2,10,2,8,2,10,13,8,1,9,1,18,5,10,2,8,2,10,4,18,2,10,1,18,2,10,2,18,3,10,8,18,5,10,28,8,3,10,28,18,2,10,7,18,2,10,10,18,6,10,9,8,1,18,3,10,4,18,2,10,4,18,2,10,8,8,1,10,25,8,3,18,3,10,29,8,5,10,1,8,3,15,2,14,27,17,1,16,5,17,1,14,14,8,1,10,2,8,1,15,1,14,12,3,2,16,1,3,4,14,28,17,1,16,3,14,6,17,2,16,9,17,1,14,2,17,5,14,5,17,2,16,3,17,2,14,7,17,1,16,3,17,2,14,1,17,1,16,3,17,1,14,3,15,5,14,18,3,1,14,1,15,1,8,2,15,3,14,4,15,1,8,6,15,1,14,18,15,2,14,4,3,1,14,1,15,1,8,1,15,1,14,9,15,1,18,1,14,13,18,1,8,7,18,5,8,73,10,18,8,16,10,9,8,2,10,11,8,3,10,46,8,1,18,2,8,1,10,13,18,2,10,72,8,1,18,2,8,2,10,1,18,4,10,16,8,3,10,12,18,2,10,21,8,6,10,2,8,1,10,5,8,2,10,1,8,2,10,4,8,3,10,2,8,4,18,1,8,9,10,15,8,7,10,4,8,9,10,7,8,3,10,13,8,1,10,10,8,7,18,2,8,6,10,428,8,4,10,8,8,2,10,14,18,2,10,4,8,15,10,10,8,1,10,13,4,8,19,5,4,12,19,8,4,3,10,50,8,3,10,18,4,4,19,7,4,118,19,11,4,461,},
{4,748,19,5,4,3,19,8,4,4,19,14,4,11,19,15,4,4,18,2,8,1,10,1,8,2,10,1,8,4,10,3,8,3,10,1,8,5,9,1,18,2,8,1,10,2,8,1,10,3,18,2,10,2,18,2,9,1,10,2,18,2,10,8,18,2,10,2,18,1,10,28,8,3,10,28,18,2,10,6,18,2,10,11,18,4,10,12,8,1,10,6,18,3,10,3,18,1,10,35,8,1,18,1,8,2,18,1,8,1,10,29,8,8,18,1,15,2,14,27,17,1,16,5,14,2,15,3,14,10,8,1,10,3,15,1,14,11,3,6,14,15,3,1,14,16,16,1,17,1,14,6,17,1,16,9,17,1,14,14,17,1,16,4,17,2,14,6,17,6,14,1,17,2,16,1,17,1,14,3,15,5,14,21,15,1,8,1,15,1,14,8,18,1,8,5,15,2,14,25,15,1,8,2,15,1,14,7,15,1,18,1,8,1,18,1,15,1,14,11,18,1,8,5,18,1,8,2,18,3,8,30,18,1,8,10,18,1,8,32,10,17,8,17,10,2,8,3,10,4,8,3,10,10,8,3,10,11,8,3,10,8,8,2,10,22,8,4,10,12,18,3,10,71,8,3,18,1,8,3,18,4,10,54,8,1,10,13,8,1,10,10,8,1,10,2,8,3,10,4,8,1,10,2,8,5,10,4,8,2,10,7,8,5,10,1,8,2,10,4,8,9,10,2,8,8,10,13,8,1,10,9,8,1,18,4,8,1,18,1,8,7,10,3,8,3,10,219,8,1,10,94,8,1,10,99,8,1,10,9,8,4,10,8,8,2,10,20,8,1,10,2,18,1,8,1,18,1,8,21,10,12,4,4,19,8,4,12,19,8,4,4,10,71,4,3,19,8,4,118,19,12,4,460,},
{4,748,19,5,4,4,19,7,4,4,19,14,4,10,19,10,4,10,18,2,9,1,10,3,8,5,10,3,8,3,10,4,18,2,10,9,18,2,10,2,18,3,10,2,18,3,10,9,18,1,10,2,18,1,10,28,8,3,10,28,18,1,10,6,18,3,10,12,18,2,10,20,18,2,10,30,8,2,10,8,18,2,8,3,10,4,8,1,10,25,8,4,18,1,8,2,18,1,15,2,14,14,17,1,14,13,17,1,16,4,17,1,14,2,15,3,14,6,15,1,14,3,8,1,10,3,15,1,14,3,15,1,14,7,3,4,14,5,3,6,14,3,3,5,14,16,17,1,14,2,17,5,16,1,17,2,16,5,17,2,14,14,17,1,16,4,17,4,14,6,17,4,14,1,17,3,14,3,15,5,14,22,15,2,14,9,15,1,8,3,15,3,14,22,15,1,14,3,15,1,8,3,14,7,15,1,8,3,18,1,15,1,14,10,18,2,8,4,18,1,8,3,18,1,8,31,18,1,8,9,18,5,8,29,10,16,8,24,10,3,8,2,10,6,8,2,10,3,8,3,10,9,8,5,10,8,8,1,10,24,8,3,10,12,9,1,18,1,9,1,10,71,8,2,18,2,8,2,10,2,9,1,10,95,8,5,10,3,8,3,10,5,8,5,10,3,8,2,10,3,8,1,18,2,8,9,18,1,8,6,10,23,8,1,18,1,8,5,10,1,8,3,10,6,8,4,10,218,8,2,10,151,8,1,10,20,8,5,10,1,8,3,10,11,8,2,10,10,8,2,10,9,8,2,10,19,18,2,10,1,8,29,10,8,4,3,19,9,4,12,19,7,4,4,10,8,8,1,10,63,4,3,19,8,4,117,19,13,4,460,},
{4,747,19,6,4,5,19,6,4,4,19,14,4,10,19,9,4,7,18,6,9,1,10,3,8,5,10,3,8,3,10,3,3,3,18,1,10,3,18,3,10,5,18,1,10,5,18,3,10,8,18,2,10,2,18,1,10,22,8,2,10,4,18,1,8,2,10,35,18,3,10,7,8,1,10,17,18,2,10,7,18,2,10,29,8,3,10,8,18,2,10,7,8,1,10,27,8,2,18,3,15,2,14,30,16,3,17,1,14,3,15,1,14,8,15,2,14,2,15,1,8,3,15,1,14,1,15,3,14,2,17,1,14,13,3,1,16,5,3,8,14,16,17,2,16,3,17,7,16,4,17,2,14,14,17,2,16,3,17,2,16,3,17,2,14,5,17,4,14,6,15,3,14,20,15,1,8,2,15,1,14,10,15,3,14,3,15,1,14,21,15,3,14,2,15,1,8,1,10,1,8,1,14,7,15,1,8,4,18,1,14,11,18,1,8,50,18,5,8,29,10,15,8,25,10,4,8,2,10,5,8,2,10,3,8,4,10,7,8,5,10,9,8,1,10,18,8,1,10,6,8,1,10,13,9,1,18,3,10,70,18,4,8,2,10,2,8,1,10,17,8,1,10,13,18,1,10,63,8,6,10,2,8,4,10,2,8,6,10,4,8,2,10,3,8,1,18,3,8,2,10,1,8,4,18,3,8,5,10,9,8,1,10,14,8,6,10,1,8,1,10,8,8,4,10,219,8,1,10,33,8,1,10,90,18,3,10,23,8,3,10,19,8,10,10,10,8,1,10,12,8,1,10,9,8,2,10,14,18,1,10,4,18,2,10,1,8,30,10,6,4,4,19,5,4,16,19,6,4,3,10,9,8,2,10,20,8,1,10,6,8,2,10,4,8,1,10,29,4,3,19,6,4,86,19,3,4,30,19,15,4,458,},
{4,746,19,7,4,6,19,5,4,4,19,14,4,10,19,9,4,1,10,1,18,11,9,1,8,1,10,2,8,3,10,5,8,3,10,2,18,1,3,3,18,1,10,2,18,4,10,4,18,2,10,4,18,4,10,8,18,5,10,22,8,2,10,3,8,1,18,2,8,1,10,35,18,3,10,7,18,1,10,17,18,4,10,4,18,2,9,1,10,29,8,1,18,1,8,1,10,2,8,2,10,4,8,2,10,7,8,1,10,28,8,2,18,2,15,2,14,21,17,1,14,8,17,3,14,13,15,2,14,3,15,3,14,2,15,4,14,4,3,3,14,8,3,1,16,7,3,6,14,17,16,5,17,7,16,3,17,1,14,7,15,3,14,5,17,1,16,3,17,1,14,1,17,1,16,5,17,1,14,4,17,4,14,29,15,1,8,2,15,1,14,11,15,1,14,26,15,3,14,3,8,1,10,1,8,1,14,5,15,2,18,2,8,3,18,1,14,11,18,3,8,21,18,2,8,25,18,5,8,30,10,13,8,26,10,3,8,3,10,5,8,2,10,3,8,3,10,4,8,3,10,1,8,3,10,30,8,2,10,20,18,3,10,71,8,4,10,21,8,1,10,12,18,1,10,64,8,2,10,1,8,17,10,3,8,3,10,3,8,1,18,1,8,1,18,1,8,1,10,2,8,12,10,20,8,1,10,3,8,6,10,358,18,4,10,22,8,3,10,19,8,11,10,32,8,2,10,5,18,1,10,7,18,2,10,4,18,2,10,2,8,3,10,8,8,19,10,4,4,5,19,5,4,16,19,5,4,3,10,10,8,2,10,27,8,2,10,4,8,1,10,29,4,3,19,6,4,85,19,5,4,29,19,17,4,456,},
{4,746,19,7,4,12,19,21,4,4,19,11,4,1,10,1,9,1,18,10,9,1,8,2,10,14,18,1,3,2,18,1,10,3,18,3,10,4,18,1,3,1,18,1,10,1,18,1,10,2,18,3,10,9,18,5,10,5,18,2,10,15,18,1,10,4,18,1,14,1,15,1,8,1,10,36,18,2,10,26,18,2,10,4,18,3,10,30,18,2,8,1,10,2,8,2,10,43,8,3,15,1,14,22,17,1,14,8,17,2,14,14,15,2,14,9,15,2,14,4,3,4,14,8,3,1,16,7,3,3,14,20,16,4,17,5,14,1,17,2,16,3,17,1,14,4,15,6,14,4,17,1,16,4,17,1,14,1,17,1,16,5,17,1,14,4,17,4,14,19,3,2,14,8,15,1,8,2,18,1,14,39,15,2,14,3,15,1,8,2,14,4,15,2,18,4,8,1,18,2,14,11,15,1,18,2,8,20,18,3,8,26,18,1,8,1,18,1,8,18,18,1,8,14,10,9,8,35,10,4,8,2,10,4,8,2,10,4,8,3,10,2,8,2,10,29,8,2,10,21,18,3,10,72,8,3,10,19,8,1,10,1,8,2,10,37,8,1,10,43,8,13,10,4,8,4,10,3,8,1,18,3,8,1,10,3,8,9,10,22,8,2,10,3,8,5,10,61,8,2,10,294,18,5,10,23,8,1,10,22,8,8,10,33,8,2,10,5,18,1,10,7,18,3,10,22,8,15,10,1,8,1,10,2,4,3,19,7,4,16,19,3,4,5,10,1,8,3,10,70,4,5,19,5,4,85,19,5,4,36,19,10,4,456,},
{4,746,19,7,4,7,18,1,4,4,19,37,4,7,18,4,9,1,8,3,10,3,8,2,10,9,18,1,3,1,18,1,10,10,18,1,3,2,18,1,10,1,18,1,10,15,18,4,10,5,18,2,10,1,8,1,18,2,10,11,8,1,10,4,18,1,14,1,15,1,8,1,10,65,18,1,10,4,18,3,10,29,8,1,18,2,8,1,10,3,8,1,10,44,8,2,15,1,14,22,17,1,14,8,17,2,14,2,7,2,14,11,15,2,14,2,3,1,17,1,14,12,3,3,14,7,3,2,16,7,3,3,14,10,3,3,16,3,3,3,16,2,17,1,14,1,17,8,16,4,17,1,14,3,15,6,14,4,17,1,16,4,17,3,16,5,17,1,14,2,17,4,14,12,15,1,14,7,3,1,16,2,14,8,15,1,8,2,15,1,14,23,15,3,14,19,8,2,15,1,14,3,15,1,18,2,15,1,14,1,15,1,18,2,15,1,14,11,15,1,18,3,8,5,18,1,8,7,18,9,8,28,18,1,8,17,18,2,8,6,18,1,8,8,10,6,8,37,10,10,8,1,10,5,8,3,10,6,8,1,10,26,8,2,10,22,18,2,10,72,8,3,10,21,8,4,10,35,8,1,10,4,8,1,10,4,8,1,10,33,8,12,10,4,8,5,10,3,8,1,18,3,8,2,10,1,8,5,10,98,8,2,10,277,18,2,10,15,18,4,10,48,8,7,10,27,8,1,10,5,8,2,10,5,18,1,10,2,8,2,10,4,18,1,10,24,8,14,10,1,8,1,10,2,4,2,19,7,4,24,10,1,8,5,10,69,4,6,19,3,4,86,19,5,4,37,19,9,4,456,},
{4,745,19,7,4,2,10,5,8,2,9,1,10,1,4,2,19,5,4,8,19,25,4,1,19,3,4,5,9,1,8,1,10,6,8,5,10,2,18,1,10,6,18,4,10,4,18,1,10,1,18,2,3,1,18,1,10,16,18,2,10,1,18,2,10,5,18,1,10,2,18,3,10,11,9,1,10,4,18,1,14,1,15,1,8,1,10,65,18,1,10,4,9,1,18,2,10,16,8,1,10,12,8,1,18,2,8,1,10,47,8,3,15,1,14,23,17,1,14,11,7,2,14,4,15,2,14,5,15,2,14,2,3,1,16,1,3,1,14,12,3,4,14,7,3,2,16,6,3,2,14,9,3,1,16,7,3,2,16,2,17,1,14,1,17,7,16,5,17,1,14,3,15,5,14,4,17,1,16,4,17,5,16,2,17,2,14,1,17,5,14,12,15,2,14,8,3,2,14,9,15,2,14,25,15,2,14,19,8,2,15,1,14,3,15,1,18,1,15,1,14,3,18,2,15,1,14,9,18,2,15,2,18,9,8,1,18,1,8,3,18,9,8,51,10,1,8,14,10,2,8,35,18,1,8,3,10,16,8,4,10,4,8,4,10,21,8,4,10,97,8,2,10,22,8,2,18,2,8,2,10,33,8,3,10,3,8,1,10,8,8,1,10,2,8,1,10,6,8,1,10,6,18,1,10,11,8,4,10,1,8,7,10,4,8,4,10,4,8,2,18,1,8,8,10,99,8,1,10,260,8,2,10,15,18,3,10,15,18,4,10,49,8,6,10,27,8,2,10,4,8,2,10,5,18,1,10,34,8,1,10,2,8,1,10,1,8,10,10,2,4,1,19,7,4,20,18,1,10,6,8,1,10,1,8,6,10,65,4,13,19,5,4,77,19,5,4,32,10,2,18,2,4,2,19,8,4,456,},
{4,744,19,8,4,2,10,5,8,2,10,2,4,2,19,5,4,8,19,30,4,4,10,8,8,5,10,6,8,1,9,1,18,6,10,6,18,3,10,16,18,5,10,8,18,3,10,11,8,1,10,4,8,1,18,2,8,1,10,65,18,1,10,5,18,3,9,1,10,27,8,1,18,1,8,2,10,5,8,1,10,10,8,1,10,29,8,3,18,1,15,1,14,24,17,3,14,13,15,1,8,2,15,1,14,5,8,1,15,1,14,1,3,1,17,1,14,12,3,7,14,7,3,3,16,3,3,2,14,9,16,8,3,1,17,1,16,3,17,3,16,11,17,1,14,3,15,5,14,4,16,3,17,8,14,3,17,5,14,11,15,3,14,12,15,3,14,20,3,1,14,9,15,3,14,19,15,1,8,1,18,1,14,4,15,2,14,3,15,2,14,4,15,2,14,3,18,3,15,2,18,5,15,1,18,15,8,52,10,3,8,42,10,1,8,11,10,16,8,6,10,3,8,4,10,14,8,10,10,97,8,2,10,22,8,2,18,1,8,2,18,1,10,33,8,2,10,30,18,2,10,8,8,6,10,1,8,7,10,4,8,4,10,5,8,10,10,360,8,2,10,15,18,3,10,68,8,7,10,21,8,2,10,3,8,3,10,16,8,2,10,32,8,10,10,2,4,1,19,7,4,20,10,10,8,6,10,35,8,1,10,28,4,12,19,6,4,76,19,6,4,31,10,3,8,1,18,1,4,3,19,6,4,457,},
{4,744,19,7,4,3,10,4,8,3,10,3,4,1,19,5,4,8,19,30,4,4,10,2,18,1,8,1,10,5,8,5,10,2,8,4,18,1,9,1,10,3,18,2,10,2,18,1,10,3,18,3,10,16,18,2,10,10,8,1,18,2,8,1,10,10,9,1,18,1,10,4,8,3,10,65,18,2,10,7,18,2,10,27,8,3,10,6,8,1,10,8,8,3,10,24,8,1,10,3,8,1,18,4,14,25,17,4,14,11,15,2,8,3,15,1,14,4,8,1,15,1,14,15,3,8,14,8,3,6,14,9,16,6,3,4,16,5,17,1,16,11,17,2,14,2,15,6,14,3,17,1,16,2,17,1,14,2,17,4,14,4,17,4,14,11,15,4,14,5,15,1,8,1,15,5,8,4,15,3,14,2,3,2,14,10,3,3,14,9,15,3,14,19,15,1,8,2,18,1,14,3,15,2,14,3,15,2,14,4,15,1,18,1,14,3,18,3,15,2,18,4,15,1,14,1,15,1,18,12,8,54,10,3,8,42,10,2,8,10,10,16,8,6,10,3,8,4,10,13,8,5,10,1,8,5,10,88,8,1,10,8,8,2,10,22,8,2,18,2,8,1,18,1,10,67,18,4,10,4,8,13,10,5,8,3,10,6,8,9,10,3,8,3,10,355,8,3,10,85,8,8,10,6,8,2,10,11,8,3,10,4,8,2,10,16,8,4,10,31,8,8,10,2,4,2,19,7,4,20,10,10,8,6,10,35,8,1,10,27,8,1,18,1,4,11,19,6,4,74,19,8,4,31,10,3,8,1,10,1,4,466,},
{4,744,19,7,4,2,10,4,8,4,10,3,4,3,19,1,4,11,19,29,4,4,10,1,18,3,8,1,10,1,8,1,10,2,8,13,10,6,18,3,10,3,18,1,10,29,8,2,10,10,18,1,10,1,18,2,9,1,10,2,8,3,10,75,18,2,9,1,10,22,8,6,10,6,8,2,10,8,8,2,10,11,8,2,10,11,8,2,10,3,8,1,18,1,14,28,17,1,16,3,17,1,14,11,15,6,14,2,15,2,14,5,15,2,14,9,3,8,14,10,3,2,14,11,16,2,17,1,3,1,16,2,17,1,3,1,14,1,3,1,16,5,17,1,16,11,17,2,14,2,15,6,14,4,17,3,14,2,17,1,16,1,17,3,14,2,17,4,14,20,15,1,8,5,15,2,14,1,15,2,8,2,15,2,14,2,3,2,14,4,3,1,14,4,3,4,14,9,15,3,14,20,15,1,8,2,14,3,15,1,14,4,18,2,14,4,15,1,18,1,14,3,18,7,8,1,18,1,14,3,15,3,18,7,8,56,10,3,8,41,10,3,8,10,10,2,8,2,10,12,8,6,10,4,8,3,10,13,8,4,10,3,8,4,10,9,8,2,10,2,8,2,10,73,8,1,10,8,8,3,10,9,18,3,10,2,18,4,10,4,8,5,10,48,4,1,10,18,18,6,10,2,8,7,10,1,8,2,10,8,8,3,10,10,8,4,10,3,8,4,10,19,8,1,10,7,8,3,10,187,8,1,10,137,8,3,10,85,8,8,10,5,8,3,10,11,8,4,10,3,8,2,10,17,8,3,10,37,8,2,10,2,4,2,19,6,4,21,10,11,8,4,10,42,9,6,8,1,9,1,10,13,8,1,18,1,4,12,19,6,4,74,19,8,4,31,10,6,4,465,},
{4,744,19,7,4,2,10,3,8,6,10,3,4,11,19,1,4,21,19,10,4,4,18,4,8,1,10,1,8,2,10,2,8,12,10,4,4,6,10,8,4,6,10,18,8,1,10,6,8,2,10,3,18,1,10,1,18,3,9,1,18,2,8,1,10,15,8,1,10,29,18,1,10,4,18,3,10,20,18,2,10,8,9,1,18,1,10,15,8,1,18,3,8,3,10,6,8,2,10,8,18,1,8,1,10,11,8,1,18,1,10,2,18,1,10,5,8,3,18,1,8,1,10,3,8,1,18,1,14,21,17,3,14,4,17,1,16,4,14,2,17,4,14,9,15,6,14,2,3,1,14,1,15,1,8,2,15,1,14,4,3,12,14,23,3,1,16,1,3,2,16,2,3,1,14,3,16,5,17,1,16,12,17,1,14,3,15,5,14,4,17,3,14,2,17,1,16,6,17,4,14,3,17,1,14,13,15,3,8,6,14,5,15,1,8,1,15,1,14,2,3,2,14,2,15,1,14,1,3,3,14,3,3,3,14,2,3,1,14,7,15,3,14,18,3,1,14,1,15,1,8,2,14,4,15,1,14,3,15,2,14,4,15,1,14,5,18,5,8,2,18,1,14,3,15,3,18,7,8,67,10,2,8,31,10,2,8,9,10,3,8,3,10,12,8,5,10,21,8,4,10,4,8,4,10,8,8,2,10,2,8,2,10,61,18,3,10,9,8,1,10,8,8,3,10,8,9,1,18,3,10,1,9,1,18,5,10,4,8,2,10,1,8,1,18,1,10,32,8,1,10,6,4,26,18,1,4,1,18,1,10,2,18,3,10,1,8,3,18,2,8,2,10,24,8,4,10,3,8,3,10,28,8,5,10,59,8,2,10,124,8,2,10,136,8,3,10,47,8,2,10,36,8,8,10,5,8,3,10,10,8,5,10,3,8,2,10,8,18,1,10,8,8,1,10,24,8,1,10,15,8,1,10,1,4,2,19,6,4,20,18,2,10,54,4,2,18,1,4,9,18,5,4,21,19,6,4,74,19,8,4,31,10,8,4,463,},
{4,745,19,6,4,1,10,4,8,6,10,3,8,1,4,6,19,6,4,20,19,10,4,4,18,4,8,4,10,2,8,2,10,2,8,5,10,4,18,2,10,1,4,6,10,8,4,6,10,8,8,2,10,22,18,1,3,1,18,4,8,1,10,14,8,2,10,57,18,2,10,9,9,1,10,14,8,1,18,5,8,2,10,16,8,2,10,12,8,1,10,7,8,1,18,4,8,1,10,4,18,1,14,20,17,3,14,5,17,1,16,4,17,3,16,2,17,2,14,9,15,1,8,1,15,3,14,4,15,1,8,1,15,2,14,3,17,1,16,1,3,5,14,30,16,1,14,2,17,1,16,2,17,1,14,1,17,1,16,17,17,2,14,4,15,4,14,4,17,3,14,2,17,1,16,7,17,2,14,3,17,2,14,14,15,1,8,2,15,4,14,2,3,3,14,6,3,2,14,2,15,1,14,1,3,3,14,3,3,2,14,12,15,1,14,18,3,2,14,1,15,1,8,2,14,8,15,2,14,9,18,7,8,1,18,1,14,3,15,3,18,5,8,13,18,1,8,26,18,1,8,28,10,2,8,30,10,2,8,6,10,5,8,6,10,13,8,1,10,10,8,2,10,12,8,2,10,5,8,4,10,8,8,2,10,2,8,1,10,63,18,1,10,19,8,3,10,8,18,10,9,1,10,8,18,1,10,39,4,4,19,5,4,3,19,12,4,4,10,8,8,1,10,20,8,1,10,9,8,3,10,3,8,3,10,16,8,1,10,1,8,1,10,9,8,1,18,1,8,4,10,8,8,3,10,173,8,1,10,8,18,4,10,125,8,3,10,4,8,1,10,42,8,2,10,37,8,7,10,6,8,2,10,11,8,4,10,3,8,3,10,5,8,3,10,30,8,4,10,17,4,1,19,7,4,11,19,3,4,6,18,1,8,1,10,54,4,5,19,2,4,32,19,5,4,74,19,8,4,31,10,9,4,462,},
{4,744,19,7,4,2,10,4,8,8,9,1,4,2,19,3,4,2,19,10,4,17,19,6,4,5,18,5,8,2,10,8,8,7,18,1,10,4,4,6,10,1,18,2,9,1,10,4,4,6,10,7,9,3,10,11,18,1,10,10,18,1,14,1,18,3,8,1,10,2,8,1,18,1,8,1,10,10,8,1,10,18,18,2,10,12,18,1,10,6,18,1,10,7,8,1,10,36,8,1,18,6,8,2,10,18,18,1,10,7,8,1,10,10,8,1,18,1,15,2,18,1,8,1,10,4,8,1,15,1,14,16,17,3,14,1,17,1,14,4,16,3,14,3,17,3,16,4,17,1,14,2,17,2,16,1,17,1,14,2,15,2,8,1,15,2,14,6,15,2,14,4,17,2,14,3,17,4,14,26,17,4,14,1,17,2,16,9,17,1,16,9,17,4,14,12,3,1,14,5,17,2,16,6,17,2,14,3,17,1,14,14,15,1,8,1,15,1,14,1,3,1,14,3,3,3,14,52,3,2,14,2,8,2,18,1,14,6,15,6,14,5,15,1,18,6,15,1,14,5,18,4,8,15,18,9,8,3,18,2,8,11,18,5,8,19,10,1,8,4,10,2,8,2,10,1,8,31,10,3,8,5,10,4,8,4,10,26,8,3,10,13,8,1,10,5,8,3,10,18,8,2,10,89,18,9,10,44,18,1,10,4,4,4,19,19,4,5,10,32,8,4,10,3,8,4,10,19,8,2,10,1,8,1,18,2,8,1,10,1,8,2,10,4,8,6,10,9,8,3,10,20,8,3,10,157,18,1,9,1,18,1,10,77,8,2,10,120,8,3,10,18,8,3,10,7,8,1,10,6,8,2,10,10,8,3,10,4,8,5,10,31,8,3,10,12,8,1,10,2,4,2,19,7,4,8,19,7,4,5,10,55,4,2,19,7,4,33,19,3,4,75,19,5,4,33,10,9,4,462,},
{4,745,19,6,4,2,10,4,8,8,10,1,4,1,19,17,4,16,19,5,4,2,18,1,4,1,18,1,4,1,18,5,8,1,10,15,8,1,10,5,4,6,10,2,18,1,10,5,4,6,10,6,9,2,10,24,8,1,18,4,8,1,10,1,8,1,14,2,15,1,8,5,10,4,8,2,10,18,18,2,10,13,8,1,10,5,8,2,10,5,8,2,10,37,8,1,18,3,8,4,10,17,8,1,18,1,10,7,8,1,10,10,8,1,14,4,8,2,10,4,8,1,14,16,17,2,14,7,16,2,3,1,14,4,3,2,14,1,17,1,16,2,17,4,16,3,14,3,15,4,14,11,17,3,14,31,17,7,14,1,17,1,16,4,17,2,16,11,17,3,14,2,17,1,14,12,3,1,14,6,17,1,16,6,17,1,3,1,14,19,15,1,14,1,16,2,3,5,14,4,3,2,14,2,15,1,14,39,15,2,14,2,3,2,14,3,18,1,8,1,18,2,14,5,15,7,14,3,18,7,14,7,18,4,8,12,18,17,8,10,18,6,8,18,10,2,8,4,10,2,8,2,10,2,8,13,10,2,8,15,10,3,8,5,10,4,8,4,10,21,8,1,10,4,8,3,10,12,8,3,10,5,8,2,10,17,8,1,18,2,8,1,10,88,18,5,9,1,10,12,18,2,10,10,18,2,10,5,18,2,10,5,18,2,10,6,18,3,10,3,4,4,19,20,4,5,10,30,8,6,10,3,8,4,10,3,8,2,10,13,8,4,18,2,8,4,10,4,8,2,10,1,8,2,10,5,8,1,10,12,8,3,10,2,8,19,10,152,18,3,10,1,18,1,10,74,8,2,10,4,8,1,10,17,8,1,10,96,8,5,10,4,8,2,10,28,8,2,10,10,8,4,10,2,8,9,10,29,8,1,10,13,8,1,10,2,4,2,19,7,4,8,19,7,4,2,18,2,10,12,8,3,10,18,8,2,10,21,4,2,19,7,4,30,18,1,4,3,19,2,4,113,10,10,4,461,},
{4,746,19,5,4,2,10,4,8,8,9,1,4,1,19,17,4,3,19,3,4,10,19,4,4,3,10,1,9,1,10,1,8,1,18,4,8,1,10,19,18,3,4,6,10,4,18,1,4,9,10,33,8,2,18,2,8,1,10,1,8,1,14,3,15,1,8,4,10,2,8,4,10,10,18,2,10,5,18,3,10,19,8,3,10,3,8,3,10,11,18,1,9,1,10,25,8,8,10,16,8,1,10,19,8,1,15,1,14,3,15,1,8,1,10,4,8,2,15,1,14,14,17,2,14,4,15,1,14,3,3,1,14,2,15,2,14,5,17,1,16,2,17,3,16,2,17,1,14,3,15,3,14,12,17,2,14,30,17,12,16,3,17,2,16,3,17,14,14,12,17,3,14,4,17,1,16,6,3,1,14,22,3,3,14,46,15,1,14,5,15,2,14,6,15,1,18,4,15,1,14,5,15,6,14,3,15,1,18,4,15,1,14,7,15,1,18,5,8,11,18,2,8,1,18,14,8,10,18,5,8,19,10,2,8,4,10,2,8,2,10,3,8,10,10,5,8,22,10,3,8,5,10,20,8,4,10,2,8,4,10,11,8,5,10,3,8,3,10,9,8,2,10,5,8,1,18,1,8,1,10,90,18,4,10,13,18,2,10,17,18,3,10,4,18,3,10,5,18,4,10,2,4,5,19,19,4,6,10,30,8,1,18,2,8,2,10,3,8,2,10,3,8,5,10,12,8,2,18,2,8,1,18,2,8,4,10,12,8,3,10,10,8,25,10,152,18,5,10,80,8,2,10,114,8,11,10,27,8,2,10,10,8,3,10,3,8,9,10,29,8,1,10,13,8,1,10,1,4,3,19,5,4,10,19,6,4,2,18,3,10,12,8,2,10,19,8,2,10,21,4,2,19,7,4,27,10,1,9,1,10,4,4,2,19,4,4,110,10,13,4,458,},
{4,746,19,5,4,2,10,3,8,9,9,1,4,1,19,17,4,2,19,7,4,7,19,4,4,2,18,1,10,4,18,3,8,1,10,4,8,8,10,8,18,3,4,6,10,3,18,2,4,9,10,34,8,6,14,4,8,10,10,10,18,2,10,4,18,2,10,22,8,2,10,3,8,3,10,10,18,3,10,26,8,1,10,1,8,3,18,1,8,2,10,15,8,1,10,19,8,1,15,1,14,4,8,1,10,4,8,3,14,14,17,2,14,10,15,1,8,3,14,5,16,3,17,4,14,20,17,1,14,29,17,1,16,3,17,6,14,1,17,2,16,4,17,1,16,2,17,3,14,6,17,3,14,15,17,2,16,1,17,1,3,1,14,1,3,1,16,7,14,13,17,2,14,57,15,1,14,5,15,1,14,7,18,1,15,7,14,6,15,4,18,1,15,1,18,1,15,1,18,3,15,1,14,7,18,1,8,1,18,11,8,6,18,14,8,8,18,7,8,30,10,19,8,10,10,4,8,15,10,20,8,4,10,2,8,5,10,9,8,13,10,7,8,8,18,2,8,1,10,77,8,3,10,12,18,3,10,5,8,1,10,6,18,2,10,17,18,2,10,5,18,2,10,12,4,5,19,1,4,1,19,1,4,2,19,14,4,6,10,30,8,1,18,3,8,2,10,1,8,3,10,3,8,6,10,12,8,1,18,1,8,1,18,2,8,1,18,1,8,5,10,10,8,4,10,8,8,11,10,2,8,13,10,152,18,5,10,90,8,2,10,105,8,11,10,26,8,2,10,10,8,2,10,4,8,4,10,1,8,4,10,36,8,3,10,4,8,1,10,1,4,2,19,6,4,10,19,6,4,2,18,1,8,1,10,13,8,2,10,18,8,4,10,15,8,1,10,4,4,2,19,7,4,26,10,7,4,2,19,5,4,109,10,13,4,458,},
{4,746,19,5,4,2,8,12,10,1,4,1,19,7,4,5,19,5,4,2,19,8,4,5,19,4,4,3,18,1,10,1,8,2,10,1,8,2,18,1,8,1,10,2,8,13,10,5,18,2,10,1,18,1,10,7,18,3,4,5,10,38,9,1,8,5,15,2,14,1,18,1,8,4,18,2,8,1,10,5,8,3,10,11,18,2,10,13,18,1,10,8,8,2,10,2,8,4,10,10,18,3,10,26,8,7,10,36,8,1,15,1,14,4,8,1,10,4,8,2,15,2,14,15,17,1,14,8,15,1,8,4,15,1,14,4,17,1,16,3,17,2,14,36,17,2,14,13,17,1,16,2,17,6,14,2,17,1,16,8,14,7,17,4,14,18,17,3,3,1,17,1,16,6,14,14,17,3,14,5,3,1,14,10,15,2,14,38,15,1,14,16,15,1,18,2,15,3,14,6,15,2,18,11,15,2,14,2,18,1,8,9,18,4,8,6,18,14,8,8,18,3,8,33,10,22,8,5,10,8,8,2,10,3,8,8,10,21,8,4,10,3,8,4,10,9,8,14,10,3,8,14,10,4,18,4,10,7,8,2,10,60,8,1,18,1,8,1,10,19,8,2,10,4,8,1,10,1,9,2,10,4,18,1,10,10,18,3,10,14,18,4,10,2,4,10,19,14,4,6,10,30,8,1,18,3,8,6,10,3,8,6,10,12,8,1,18,1,8,1,18,2,8,3,10,1,8,3,10,9,8,2,18,2,8,1,10,6,8,1,10,4,8,4,10,1,8,1,10,4,8,13,10,151,18,1,9,1,18,1,9,1,10,1,18,1,10,89,8,3,10,63,18,4,10,39,8,10,10,25,8,3,10,16,8,3,10,2,8,4,10,36,8,3,10,4,8,1,10,1,4,2,19,6,4,10,19,6,4,1,18,2,10,14,8,2,10,18,8,4,10,13,8,4,10,3,4,2,19,11,4,22,10,8,4,1,19,5,4,109,10,13,4,458,},
{4,746,19,5,4,1,18,1,8,12,9,1,4,20,19,8,4,4,19,5,4,3,10,2,8,2,10,2,8,2,10,3,8,15,10,14,18,1,3,2,4,5,10,38,8,9,18,6,8,1,10,6,18,2,8,1,10,11,18,2,10,5,18,1,10,16,8,1,18,1,8,1,10,1,8,4,10,10,18,3,10,26,8,7,10,35,8,2,14,5,8,1,10,3,8,3,15,2,14,16,17,1,14,5,15,1,8,7,15,2,14,2,17,1,16,3,17,2,14,34,17,2,16,2,17,2,14,12,3,2,17,5,14,3,17,1,16,8,14,5,17,2,16,3,17,1,14,18,17,2,16,1,17,1,16,5,3,1,14,16,17,3,14,4,17,1,14,12,15,2,14,36,15,1,14,9,15,1,18,1,15,1,14,5,18,3,15,2,14,5,15,3,18,14,8,11,18,4,8,4,18,16,8,7,18,3,8,34,10,35,8,2,10,4,8,7,10,21,8,4,10,3,8,4,10,10,8,29,10,5,18,4,10,5,8,4,10,58,8,2,18,2,8,1,10,6,8,1,10,12,8,1,10,3,8,3,10,41,4,11,19,2,4,9,19,2,4,6,10,30,8,1,18,3,8,18,10,10,8,1,18,1,8,2,18,2,8,1,10,1,8,3,10,9,8,1,18,4,8,2,10,1,8,2,10,8,8,2,10,6,8,13,10,151,18,5,10,91,8,1,10,64,18,5,10,38,8,11,10,24,8,3,10,16,8,2,10,3,8,4,10,1,8,2,10,32,8,4,10,6,4,3,19,5,4,10,19,4,4,3,18,1,10,15,8,2,10,18,8,4,10,12,8,6,10,2,18,1,4,4,19,8,4,22,10,8,4,1,19,5,4,109,10,13,4,458,},
{4,746,19,5,4,2,18,1,9,1,8,11,9,1,4,2,18,5,4,1,10,4,4,7,19,2,4,2,19,4,4,3,19,6,4,3,9,1,8,3,10,2,8,2,10,5,8,14,10,13,18,1,3,2,18,1,4,4,10,36,9,1,8,1,18,2,8,4,10,2,8,1,18,2,15,1,18,3,8,1,10,5,8,1,18,2,8,1,10,6,8,1,10,4,18,1,10,6,18,1,10,16,8,3,10,1,8,4,10,10,18,2,9,1,10,25,8,1,18,2,8,3,10,36,8,2,18,1,14,4,15,1,8,1,10,3,8,1,15,4,14,21,15,1,8,3,15,2,8,3,15,2,14,2,17,1,16,4,17,1,14,34,17,2,16,4,17,1,14,16,17,2,14,3,17,1,16,8,17,1,14,2,17,2,16,5,17,1,14,18,3,1,17,1,16,3,17,1,14,22,17,1,14,17,15,2,14,45,15,1,18,2,15,1,14,5,18,3,15,2,14,5,15,3,18,1,8,2,18,6,8,16,18,4,8,3,18,17,8,16,18,2,8,27,10,35,8,1,10,4,8,6,10,2,8,1,10,20,8,2,10,5,8,3,10,12,8,27,10,6,18,3,10,5,8,4,10,58,8,3,18,1,8,1,10,22,8,4,10,42,18,1,10,3,18,6,4,20,9,1,10,27,8,3,18,1,8,2,10,2,8,15,10,11,8,1,10,2,8,2,10,2,8,3,10,8,8,2,18,5,10,1,8,1,10,10,8,2,10,5,8,14,10,152,18,2,10,102,8,1,10,56,18,3,10,39,8,5,10,3,8,3,10,6,8,2,10,16,8,3,10,16,8,2,10,3,8,4,10,1,8,2,10,32,8,4,10,6,4,3,19,5,4,9,19,4,4,2,18,3,10,5,8,1,10,9,8,3,10,17,8,4,10,12,8,6,18,1,10,1,18,2,4,5,19,6,4,10,19,7,4,4,10,9,4,1,19,5,4,109,10,13,4,1,19,4,4,453,},
{4,746,19,5,4,3,9,1,8,13,10,5,18,1,10,10,4,7,19,3,4,2,19,7,4,3,9,1,8,3,10,1,8,3,10,1,8,1,10,4,8,12,18,1,10,10,18,2,10,1,18,1,3,2,18,1,4,4,10,35,9,1,18,2,15,1,18,1,8,2,18,1,8,1,10,2,8,1,18,1,14,2,18,1,8,2,10,6,8,3,10,6,8,2,10,11,18,1,10,16,8,7,10,11,18,2,10,26,8,4,10,5,8,2,10,30,8,2,18,2,14,4,15,1,8,1,10,2,8,1,15,1,14,2,15,2,14,21,8,4,15,1,14,1,15,1,8,1,15,2,14,3,17,2,16,2,17,2,14,26,17,4,14,5,17,4,16,2,17,1,14,21,17,1,16,8,17,2,16,6,17,1,14,19,17,2,16,3,14,12,3,1,14,1,17,1,14,27,15,2,14,4,15,1,14,31,15,3,14,4,15,1,18,4,14,3,18,5,15,2,14,4,15,3,18,1,8,3,18,6,8,17,18,3,8,3,18,10,8,1,18,6,8,16,18,5,8,24,10,35,8,1,10,5,8,5,10,2,8,1,10,27,8,1,10,15,8,22,10,18,8,4,10,58,18,1,8,1,18,2,10,23,8,4,10,42,18,3,10,1,18,3,9,2,18,3,10,9,4,8,18,2,10,27,8,5,10,3,8,16,10,17,8,5,10,6,8,2,18,5,10,1,8,1,10,9,8,4,10,4,8,14,10,256,8,1,10,99,8,3,10,5,8,2,10,5,8,4,10,4,8,4,10,7,8,3,10,16,8,2,10,3,8,7,10,7,18,2,10,23,8,3,10,7,4,3,19,5,4,9,19,4,4,1,18,3,10,6,8,1,10,9,8,3,10,17,8,4,10,14,8,6,9,3,4,4,19,6,4,3,19,14,4,3,10,10,4,1,19,5,4,109,10,12,4,2,19,5,4,452,},
{4,746,19,6,4,2,9,1,8,8,18,4,8,1,10,8,18,3,9,1,8,1,10,3,4,12,19,7,4,3,10,1,8,2,10,2,8,3,10,1,8,1,10,4,8,13,10,8,18,4,10,1,18,1,3,3,18,4,9,1,10,35,18,1,14,2,18,1,8,2,18,1,8,1,10,2,8,1,14,3,18,1,10,7,8,3,10,40,8,1,10,14,18,2,10,10,18,1,10,23,8,3,10,30,8,2,18,3,14,4,8,4,14,2,15,3,14,20,15,1,8,4,14,2,15,3,14,6,17,5,14,25,17,4,14,8,17,4,14,21,17,1,16,3,17,2,16,8,17,1,14,21,3,1,17,2,16,2,17,1,14,11,3,1,17,3,14,15,15,2,14,10,15,2,14,2,15,4,14,29,15,2,18,2,15,2,14,1,18,2,8,3,18,1,14,2,18,7,15,1,14,1,15,5,18,1,8,1,18,1,8,1,18,7,8,9,18,2,8,1,18,1,8,3,18,2,15,2,18,2,8,1,18,9,8,3,18,5,8,16,18,6,8,23,10,37,8,10,10,33,8,1,10,12,8,21,10,18,8,3,10,59,18,3,8,1,10,24,8,2,10,7,18,2,10,35,18,1,10,19,4,8,18,2,10,28,8,4,10,4,8,13,10,18,8,7,10,5,8,3,18,4,10,1,8,2,10,6,8,24,10,247,4,5,10,112,8,1,10,6,8,4,10,4,8,4,10,26,8,2,10,4,8,6,10,6,8,1,18,3,8,1,10,6,8,4,10,21,4,2,19,5,4,7,19,6,4,2,18,2,10,17,8,2,10,8,8,5,10,6,8,2,10,24,4,5,19,4,4,3,19,14,4,4,10,10,4,1,19,5,4,109,10,13,4,1,19,5,4,452,},
{4,746,19,6,4,1,18,1,9,1,8,8,18,5,9,2,10,5,18,5,8,2,10,3,4,3,18,1,4,7,19,7,4,3,10,2,8,1,10,2,8,3,10,5,8,4,10,1,8,9,18,1,10,9,18,3,10,1,18,1,3,2,18,4,8,1,10,35,18,1,14,2,18,2,8,1,15,2,8,2,18,1,15,2,18,1,10,7,8,2,10,27,18,1,10,13,8,2,10,15,18,1,10,10,18,1,10,23,18,2,8,1,10,30,8,2,18,3,14,4,15,1,8,2,15,1,14,3,15,1,14,18,15,3,8,4,15,1,14,2,15,2,14,10,17,1,14,26,17,2,16,1,17,1,14,9,17,2,14,23,17,3,14,3,17,1,16,6,17,1,14,21,3,1,17,3,16,1,3,1,14,12,3,2,17,1,14,15,15,2,14,10,15,7,14,7,15,2,14,17,15,5,18,1,8,2,18,5,8,3,18,10,15,1,18,6,8,2,18,1,8,1,18,10,8,5,18,3,15,1,18,2,8,3,18,1,15,3,18,11,8,3,18,7,8,9,18,2,8,3,18,1,8,28,10,37,8,9,10,14,8,5,10,15,8,2,10,11,8,20,10,19,8,3,10,67,18,2,10,18,8,2,10,7,18,2,10,55,4,8,10,23,18,2,10,5,8,4,10,4,8,1,10,3,8,9,10,1,8,1,10,4,8,1,10,11,8,1,10,2,8,4,10,6,8,6,10,1,8,3,10,3,8,26,10,247,4,6,10,118,8,4,10,4,8,5,10,25,8,2,10,4,8,3,10,1,8,1,10,7,8,1,18,1,8,3,10,5,8,6,10,8,8,2,10,10,4,1,19,5,4,8,19,5,4,2,18,2,10,18,8,2,10,7,8,7,10,31,4,12,19,14,4,3,10,11,4,2,19,4,4,108,10,14,4,1,19,5,4,452,},
{4,746,19,6,4,1,18,1,8,9,18,7,9,1,10,5,18,5,8,2,10,5,18,3,4,5,19,9,4,2,10,1,8,1,10,2,8,3,10,5,8,13,18,2,10,4,18,1,10,5,18,3,10,1,3,2,18,2,9,1,10,7,8,1,10,29,18,1,14,3,18,1,15,1,14,2,18,1,8,1,18,2,8,1,10,7,8,2,10,13,18,1,10,28,8,2,10,26,18,1,10,23,18,2,10,22,8,1,10,9,8,1,18,2,15,1,14,5,15,2,14,23,15,1,8,3,15,2,14,3,15,1,8,1,15,1,14,38,17,4,14,40,17,1,16,4,17,1,14,26,17,1,14,44,15,3,14,8,15,4,14,18,15,4,18,2,8,2,18,4,8,3,18,4,8,1,18,4,15,2,18,4,8,7,18,16,15,2,18,1,8,5,18,4,8,3,18,6,8,4,18,8,8,7,18,5,8,31,10,37,8,8,10,14,8,5,10,9,8,2,10,4,8,2,10,10,8,21,10,88,18,1,10,21,8,1,10,95,18,2,10,5,8,1,18,3,8,1,10,8,8,10,10,7,8,1,10,8,8,1,10,2,8,3,10,8,8,5,10,1,8,32,10,240,18,1,10,6,4,6,10,50,18,2,10,66,8,3,10,6,8,4,10,14,8,1,10,10,8,2,10,4,8,3,10,9,8,5,10,6,8,5,10,7,8,3,10,10,4,1,19,5,4,8,19,5,4,2,18,2,10,18,8,3,10,6,8,8,10,34,18,1,4,8,19,13,4,2,10,5,8,2,10,5,4,114,10,14,4,1,19,6,4,13,19,3,4,435,},
{4,746,19,6,4,2,9,1,8,10,18,5,10,5,8,1,18,2,10,1,9,1,8,4,10,8,4,4,19,10,4,1,8,3,10,15,8,7,10,6,18,1,10,1,8,1,18,1,10,4,18,1,10,1,18,3,10,8,9,1,18,1,8,1,10,28,18,1,14,5,3,1,14,1,15,1,8,2,10,8,8,2,10,6,8,2,10,5,18,2,10,28,8,2,10,2,8,1,10,47,8,2,10,21,8,2,10,9,8,1,18,2,14,9,3,2,14,21,15,3,14,5,15,1,8,1,15,1,14,38,17,1,16,2,17,1,14,18,17,5,14,20,17,4,14,81,15,4,14,22,15,1,18,7,8,3,18,4,8,1,18,8,8,12,18,1,8,1,18,11,15,2,18,1,8,15,18,16,8,3,18,8,8,39,10,30,8,6,10,15,8,7,10,7,8,3,10,3,8,2,10,10,8,21,10,88,18,1,10,1,18,1,10,67,8,1,18,1,8,1,10,48,8,1,10,3,18,5,8,2,10,15,8,1,10,4,8,4,10,8,8,1,10,2,8,3,10,12,8,1,10,1,8,18,10,1,8,13,10,226,18,1,10,13,18,1,10,1,18,1,10,4,4,6,18,1,10,50,18,1,10,15,18,1,10,39,8,3,10,34,8,3,10,3,8,1,10,6,8,1,10,4,8,2,10,10,8,3,10,8,8,4,10,8,8,3,10,4,8,2,10,4,4,1,19,4,4,9,19,5,4,1,18,3,10,18,8,3,10,6,8,8,10,40,4,5,19,10,4,3,10,5,8,3,10,4,4,115,10,13,4,1,19,7,4,12,19,6,4,432,},
{4,746,19,6,4,2,9,1,8,9,18,5,10,5,8,1,18,1,8,2,18,1,8,8,10,5,4,5,19,8,4,2,18,2,9,1,10,4,8,3,10,9,8,6,10,8,18,3,10,16,9,1,8,1,10,28,8,1,18,1,14,5,3,1,14,2,8,1,10,16,18,2,8,1,10,34,8,3,10,2,8,1,10,11,18,2,10,20,18,1,10,36,8,2,10,9,18,1,14,11,3,2,14,17,17,1,16,1,17,1,14,8,15,1,8,2,15,1,14,38,17,1,16,2,17,2,14,14,17,8,14,21,17,1,16,2,14,81,15,3,14,24,15,1,18,12,8,3,18,6,8,17,18,13,8,14,18,3,8,1,18,22,8,41,10,30,8,5,10,15,8,7,10,7,8,3,10,3,8,2,10,6,8,3,10,1,8,21,10,89,18,2,10,67,8,2,10,16,18,1,10,14,18,1,10,18,8,1,10,2,18,5,8,3,10,15,8,4,10,1,8,4,10,10,8,3,10,14,8,2,10,1,8,2,10,10,8,1,10,256,18,2,10,5,4,6,18,1,10,65,18,3,10,38,8,3,10,34,8,3,10,3,8,2,10,10,8,2,10,34,8,2,10,4,8,2,10,4,4,1,19,4,4,7,19,5,4,3,18,1,8,1,10,28,8,7,10,42,4,6,19,8,4,3,10,12,4,115,10,13,4,1,19,9,4,10,19,6,4,432,},
{4,746,19,6,4,1,18,1,8,10,18,4,10,6,8,3,18,1,10,3,8,7,10,5,4,7,19,5,4,1,10,1,18,2,9,1,10,4,8,4,10,7,8,6,10,9,18,4,10,26,9,1,8,2,10,13,9,1,8,3,18,1,15,1,14,3,3,2,14,1,18,1,8,1,10,8,8,1,10,7,18,3,10,33,18,1,8,2,10,2,8,2,10,11,18,2,10,20,18,2,10,15,8,3,10,16,8,2,10,9,8,2,18,1,14,3,15,2,14,5,3,2,14,17,17,3,16,1,17,1,14,6,15,1,8,2,15,3,14,12,15,2,14,22,17,1,16,3,17,1,14,13,3,1,17,1,16,3,17,2,3,1,17,1,14,23,17,2,14,80,15,2,14,27,15,3,18,8,8,15,18,4,8,9,18,11,8,17,18,3,8,5,18,7,8,1,18,4,8,44,10,30,8,5,10,15,8,9,10,6,8,3,10,2,8,3,10,12,8,18,10,90,8,1,10,53,8,1,10,17,18,1,10,1,18,4,10,7,18,2,10,36,18,5,8,2,10,16,8,11,10,7,8,5,10,293,4,5,10,66,18,4,10,19,8,2,10,16,8,3,10,27,8,1,10,6,8,3,10,3,8,3,10,5,8,2,10,38,8,2,10,4,8,2,10,4,4,1,19,3,4,7,19,4,4,4,18,1,10,30,8,7,10,39,8,2,10,3,4,8,19,3,4,3,10,9,8,2,10,2,4,115,10,13,4,2,19,8,4,10,19,6,4,432,},
{4,746,19,6,4,1,18,1,9,1,8,9,4,4,18,1,3,1,18,3,10,1,8,3,18,1,10,4,8,1,18,2,8,3,10,9,4,3,19,5,4,1,10,1,18,2,9,1,10,4,8,3,10,4,8,10,10,7,18,1,10,6,9,1,18,2,10,14,9,2,10,6,8,1,18,2,8,1,10,13,8,1,18,1,15,1,18,2,15,1,14,3,3,1,14,1,18,1,10,4,8,3,10,10,8,1,18,2,8,1,10,4,18,2,10,26,18,1,8,1,10,3,8,3,10,5,18,3,10,2,18,1,10,2,18,2,10,2,18,2,10,3,18,2,10,25,8,3,10,16,8,1,18,1,10,9,8,2,18,1,14,3,18,2,15,1,14,23,17,1,14,2,16,2,14,6,15,4,8,2,15,1,14,11,15,2,14,19,15,1,14,2,17,1,16,3,17,1,14,13,3,1,17,1,16,2,17,3,3,1,17,1,14,3,17,1,14,6,17,1,14,39,17,1,14,50,17,1,14,4,15,1,14,27,15,3,18,10,8,13,18,6,8,7,18,8,14,2,18,2,8,32,18,3,8,23,10,2,8,8,10,2,8,3,10,1,8,6,10,27,8,1,10,2,8,2,18,1,8,2,10,5,8,4,10,6,8,10,10,5,8,4,10,1,8,4,10,11,8,17,10,16,18,1,10,128,8,1,10,17,18,4,10,1,18,3,10,5,18,2,10,11,18,1,10,24,8,1,18,2,8,2,10,17,8,1,10,1,18,4,10,3,8,3,10,7,8,1,10,1,8,3,10,12,8,2,10,14,8,2,10,50,8,3,10,238,18,1,10,17,18,2,10,25,18,1,10,19,8,4,10,8,8,2,10,5,8,3,10,34,8,2,10,4,8,3,10,5,8,3,10,9,8,3,10,25,8,2,10,4,8,2,10,3,4,12,19,4,4,2,18,3,10,1,8,3,10,11,8,1,10,14,8,6,10,27,8,1,10,11,8,3,10,8,18,1,4,7,10,3,8,1,10,6,8,3,10,1,4,2,19,4,4,105,19,2,4,2,10,14,18,1,4,1,19,7,4,10,19,7,4,431,},
{4,746,19,6,4,2,9,1,8,8,9,1,4,4,18,1,3,3,18,1,10,2,8,1,10,1,18,1,10,5,8,1,18,2,8,2,10,10,4,2,19,5,4,1,10,1,18,1,8,2,10,4,8,2,10,5,8,12,10,7,18,1,10,4,18,1,3,2,10,21,8,1,18,3,8,1,10,12,9,1,18,5,14,6,18,1,8,1,10,3,8,3,10,10,8,1,18,1,8,1,10,4,18,2,10,27,18,1,8,1,10,11,18,3,10,2,18,1,10,2,18,3,10,1,18,3,10,29,8,3,10,16,8,1,18,1,10,9,8,3,18,1,14,2,18,2,14,27,16,2,17,1,14,5,15,2,14,1,15,1,8,2,15,1,14,10,15,3,14,23,17,1,16,1,17,2,14,7,15,2,14,4,17,1,16,1,17,3,14,7,17,1,14,7,17,1,14,37,3,1,17,1,3,1,14,12,3,1,14,25,15,1,14,45,18,6,8,13,18,7,14,1,18,3,8,8,18,6,14,4,18,5,8,10,18,1,8,18,18,2,8,23,10,2,8,8,10,2,8,2,10,2,8,6,10,31,8,1,18,1,8,3,10,3,8,6,10,6,8,8,10,7,8,4,10,1,8,3,10,12,8,3,10,4,8,8,10,161,18,3,10,3,18,1,10,3,18,1,10,5,18,2,10,37,8,4,10,17,8,1,18,4,8,1,10,3,8,3,10,7,8,8,10,10,8,1,10,65,8,1,10,241,18,1,10,18,18,2,10,43,8,5,10,8,8,2,10,6,8,1,10,5,8,2,10,28,8,2,10,4,8,3,10,17,8,4,10,30,8,2,10,3,4,12,19,4,4,1,10,1,8,1,18,1,8,1,10,1,8,3,10,26,8,3,10,4,8,1,10,24,8,2,10,12,8,1,10,10,8,1,4,6,10,10,8,3,10,1,4,1,19,5,4,104,19,4,4,1,10,15,4,1,19,6,4,11,19,8,4,430,},
{4,746,19,6,4,2,9,1,8,9,4,5,18,1,3,2,18,2,10,1,9,1,18,1,10,7,18,2,8,2,10,1,8,4,10,5,4,2,19,5,4,1,10,1,8,4,10,3,8,2,10,6,8,11,18,3,10,3,18,3,10,3,18,1,3,2,10,10,9,1,10,10,8,1,18,1,14,1,18,1,8,1,10,12,8,2,18,3,14,1,3,2,14,1,18,2,14,1,18,3,8,1,10,14,8,3,10,2,18,3,10,29,8,1,10,16,18,1,10,2,18,3,10,2,18,3,10,6,18,1,10,23,8,1,10,16,8,2,10,9,8,3,18,2,14,6,15,2,14,24,3,2,14,5,15,1,14,1,15,2,8,1,15,2,14,8,15,4,14,3,15,2,14,3,17,2,14,11,17,5,16,1,17,1,14,11,17,1,16,2,17,2,14,26,3,1,17,1,14,23,17,1,16,3,17,1,3,1,14,37,15,2,14,47,18,2,8,8,18,2,8,4,18,1,14,4,18,8,8,9,18,1,8,1,18,3,14,2,18,7,8,7,18,3,8,17,18,4,8,36,10,2,8,4,10,5,8,3,10,26,8,5,10,3,8,2,10,3,8,2,10,4,8,4,10,1,8,2,10,11,8,5,10,12,8,2,10,6,8,4,10,11,8,2,10,150,18,1,10,15,18,1,10,24,18,1,10,6,18,1,10,10,8,2,18,1,8,2,10,6,8,2,10,5,8,2,18,3,8,1,10,3,8,3,10,12,8,5,10,301,18,3,10,72,8,6,10,25,8,1,10,29,8,3,10,24,8,5,10,33,4,11,19,4,4,1,10,6,8,3,10,26,8,2,10,4,8,4,10,48,4,6,10,14,4,2,19,4,4,104,19,4,4,1,10,15,4,3,19,3,4,12,19,8,4,430,},
{4,746,19,5,4,2,10,1,8,8,9,1,10,1,4,6,18,3,10,2,18,2,10,8,18,1,8,3,18,2,8,2,10,5,18,1,4,1,19,5,4,1,10,2,18,2,9,1,10,2,8,2,10,7,8,10,18,4,10,2,9,1,18,3,10,3,8,1,3,1,18,1,10,21,18,1,14,2,18,1,8,1,10,8,8,4,18,5,14,1,3,2,18,1,8,1,18,3,14,2,18,1,10,12,8,3,10,4,18,3,10,46,18,1,10,2,18,3,10,3,18,2,10,5,18,2,10,4,18,1,10,35,8,2,10,10,8,3,18,2,15,1,14,2,15,2,18,5,14,4,15,1,14,11,15,3,14,3,17,2,14,7,15,3,14,17,15,2,14,6,15,2,14,7,17,2,14,1,17,2,16,1,17,1,14,10,17,1,16,3,17,2,14,4,17,2,14,20,17,1,16,1,14,4,3,1,14,16,3,1,16,5,17,2,14,36,15,3,14,46,18,2,8,9,18,2,8,4,18,1,14,4,18,9,8,10,18,3,14,2,18,8,8,4,18,6,8,19,18,1,8,36,10,2,8,4,10,4,8,5,10,25,8,5,10,3,8,1,10,4,8,2,10,4,8,7,10,11,8,6,10,11,8,1,10,7,8,3,10,5,8,1,10,6,8,3,10,5,18,1,10,158,18,2,10,21,18,1,10,2,18,2,10,5,18,2,10,9,8,1,18,2,8,2,10,2,8,1,10,2,8,4,10,4,8,6,10,3,8,2,10,13,8,2,18,1,8,3,10,79,8,2,10,15,8,5,10,7,8,4,10,188,18,3,10,42,18,3,10,27,8,6,10,55,8,2,10,9,8,1,10,17,8,8,10,28,4,12,19,2,4,2,10,41,8,4,10,23,8,1,10,24,4,6,10,14,4,2,19,4,4,104,19,4,4,1,10,16,18,1,4,12,10,1,4,4,19,7,4,430,},
{4,746,19,5,4,1,18,1,8,9,18,1,4,7,18,2,10,2,9,1,18,2,10,8,18,1,8,2,18,3,8,1,10,6,4,3,19,4,4,1,10,2,18,2,9,1,10,2,8,2,10,7,8,10,18,4,10,3,9,1,18,1,10,5,18,2,10,20,8,1,18,4,9,1,10,8,8,1,18,2,15,2,18,4,14,1,3,1,14,1,18,1,8,4,18,1,14,1,18,1,8,1,10,9,8,6,10,4,18,1,10,27,8,1,10,19,18,1,10,2,18,3,8,1,10,10,18,1,10,53,8,4,18,10,15,1,14,16,15,3,14,3,3,1,14,35,15,2,14,6,17,4,14,2,17,1,14,10,17,1,16,4,17,2,14,3,17,3,14,16,3,2,14,2,16,2,14,22,3,1,16,5,17,2,3,2,14,1,3,1,14,31,15,3,14,42,15,3,18,2,8,16,18,2,14,2,18,10,8,8,18,4,14,3,18,8,8,5,18,5,8,56,10,2,8,4,10,4,8,5,10,4,8,2,10,19,8,5,10,15,8,6,10,11,8,6,10,11,8,2,10,13,8,3,10,5,8,3,10,4,18,2,10,158,18,2,10,19,18,3,10,2,18,2,10,5,18,1,10,10,8,4,10,6,8,4,10,7,8,3,10,3,8,3,10,11,8,3,18,2,8,1,10,80,8,1,10,17,8,3,10,8,8,4,10,233,18,3,10,28,8,6,10,53,8,3,10,28,8,7,10,28,4,1,19,3,4,11,10,43,8,2,10,23,8,3,10,43,4,2,19,4,4,104,19,4,4,1,10,15,8,1,9,1,10,15,18,1,4,2,19,6,4,430,},
{4,746,19,5,4,1,8,9,9,1,4,8,10,4,18,2,10,8,8,1,18,5,8,1,10,3,18,1,8,1,10,2,4,2,19,5,4,1,10,2,18,2,9,1,10,2,8,2,10,7,8,10,18,3,10,2,18,3,10,7,9,1,10,19,8,1,18,5,8,1,10,8,8,1,18,1,14,4,15,1,18,2,14,4,18,1,8,1,10,1,8,2,18,2,8,2,10,6,8,4,18,2,8,1,10,39,8,4,10,10,18,1,10,2,18,4,10,66,8,4,18,1,8,3,18,4,15,1,14,16,15,3,14,17,17,7,14,5,17,2,14,8,15,2,14,5,17,6,14,9,17,3,16,6,17,6,14,17,3,2,14,2,3,1,17,1,14,16,3,2,14,5,17,1,16,5,17,3,3,2,14,32,15,3,14,27,15,1,14,13,15,1,8,22,18,2,8,3,18,8,8,6,18,5,14,3,18,8,8,61,10,2,8,9,10,2,8,7,10,4,8,4,10,17,8,5,10,15,8,6,10,10,8,7,10,11,8,2,10,12,8,4,10,5,8,3,10,5,18,1,10,158,9,1,18,1,10,19,18,2,10,4,18,1,10,4,18,2,10,10,8,4,10,6,8,4,10,8,8,2,10,4,8,2,10,10,8,3,18,3,8,1,10,80,8,1,10,28,8,5,10,263,8,6,10,29,8,3,10,54,8,5,10,27,4,2,19,4,4,10,10,43,8,2,10,23,8,3,10,43,4,2,19,4,4,104,19,4,4,2,10,14,8,4,10,14,4,2,19,6,4,430,},
{4,746,19,5,4,1,9,1,8,8,9,1,4,8,10,14,8,3,10,1,18,1,10,5,18,1,10,2,9,1,4,2,19,5,4,1,10,2,18,2,8,1,10,2,8,2,10,7,8,9,18,3,10,4,18,1,10,5,18,1,10,22,18,7,8,1,10,7,9,1,18,1,15,1,14,3,15,1,18,2,15,1,14,3,18,1,8,1,10,2,8,2,18,1,8,3,10,5,8,6,10,12,8,2,10,16,8,1,10,8,8,4,10,11,18,1,10,2,18,3,8,1,10,67,8,5,18,5,15,1,14,6,15,1,14,10,15,3,14,13,17,6,16,6,17,2,14,1,17,1,16,2,14,8,15,2,14,3,17,2,16,1,17,5,14,7,17,5,16,8,17,2,14,13,17,8,14,3,3,1,14,15,16,3,17,1,14,4,17,1,16,5,17,2,3,1,14,35,15,2,14,27,15,5,14,8,7,2,8,27,18,9,8,6,18,4,14,3,18,3,8,2,18,4,8,24,10,2,8,54,10,4,8,5,10,16,8,5,10,15,8,4,18,2,8,1,10,10,8,7,10,10,8,2,10,11,8,5,10,5,8,4,10,195,18,1,10,10,8,5,10,17,8,3,10,4,8,2,10,11,8,3,18,1,8,2,10,7,8,1,10,66,8,1,10,4,8,2,10,25,8,9,10,263,8,2,10,32,8,4,10,53,8,6,10,26,4,1,19,5,4,10,10,43,8,2,10,22,8,4,10,43,4,2,19,4,4,104,19,4,4,2,10,14,8,4,10,14,4,2,19,6,4,430,},
{4,746,19,4,4,2,10,1,8,8,9,1,4,8,10,27,9,1,4,2,19,5,4,1,10,6,8,2,10,7,8,11,18,2,10,3,18,2,10,5,18,2,10,1,18,1,9,1,10,18,8,3,18,1,14,3,18,1,9,1,10,7,8,1,18,1,15,2,14,2,15,2,18,2,14,2,18,1,8,1,10,4,8,4,10,6,8,5,10,12,8,2,10,15,8,2,10,8,8,2,18,4,10,9,18,1,10,2,18,3,10,68,8,4,18,4,15,1,14,7,15,3,14,22,3,1,14,1,17,1,16,3,17,4,16,6,17,4,16,1,17,1,14,12,16,4,17,1,16,2,17,2,14,4,17,2,16,2,17,4,16,7,17,2,14,6,17,3,14,2,17,3,16,4,17,2,14,18,3,1,16,5,14,4,17,1,16,3,17,2,14,39,15,1,14,26,15,7,14,7,7,2,8,28,18,8,8,6,18,8,8,5,18,4,8,22,10,4,8,7,10,1,8,46,10,3,8,7,10,14,8,6,10,2,8,1,10,12,8,3,18,3,10,10,8,7,10,16,8,4,10,2,8,7,10,3,8,5,10,180,18,1,10,14,18,1,10,9,8,8,10,11,8,2,10,2,8,3,10,4,8,2,10,12,8,5,10,6,8,3,10,70,8,1,10,13,8,4,10,9,8,9,10,35,8,2,10,260,8,5,10,53,8,5,10,25,4,2,19,5,4,9,10,44,8,2,10,22,8,4,10,43,4,1,19,5,4,104,19,5,4,1,10,19,8,3,10,4,8,1,10,5,4,3,19,5,4,430,},
{4,745,19,5,4,2,10,2,8,7,9,1,4,8,10,27,9,1,4,8,10,5,8,3,10,7,8,11,18,2,10,2,18,1,9,1,18,1,10,5,18,1,10,2,18,2,9,1,10,20,18,1,3,3,18,1,10,8,8,3,18,1,14,4,18,5,10,6,8,4,10,7,8,3,10,2,18,2,10,25,8,1,10,8,8,3,18,3,10,9,18,2,10,2,18,3,10,2,18,1,10,33,8,1,10,18,8,2,10,10,8,4,18,4,15,1,14,4,15,2,14,2,15,4,14,21,3,2,17,1,16,3,17,5,16,5,17,2,14,3,17,2,14,10,17,1,16,8,17,1,14,3,17,1,16,4,17,7,16,4,17,2,14,6,17,7,16,5,17,1,14,19,16,6,3,1,14,3,17,1,16,3,17,1,14,69,15,5,14,6,7,2,8,31,18,8,8,6,18,6,8,6,18,3,8,23,10,2,8,7,10,2,8,46,10,3,8,7,10,14,8,6,10,1,8,4,10,5,8,1,10,4,8,2,18,4,10,12,8,5,10,16,8,13,10,3,8,4,10,180,18,3,10,12,18,1,10,2,18,1,10,7,8,9,10,10,8,3,10,2,8,1,10,6,8,1,10,12,8,5,10,5,8,4,10,83,8,4,10,8,8,13,10,32,8,3,10,113,8,2,10,145,8,5,10,6,4,6,10,42,8,2,10,22,8,1,10,3,4,3,19,4,4,10,10,6,8,1,10,38,8,1,10,20,8,6,10,23,8,2,10,18,4,1,19,5,4,104,19,4,4,2,10,17,8,5,10,11,4,2,19,5,4,430,},
{4,744,19,6,4,2,10,3,8,6,9,1,4,9,10,9,18,3,10,12,8,1,10,1,8,1,18,1,4,7,10,4,8,4,10,6,8,10,10,1,8,1,18,2,10,2,18,1,9,1,18,1,10,1,18,2,10,5,18,2,10,10,9,1,8,1,10,9,18,1,3,3,18,1,10,8,9,1,8,2,18,1,14,1,3,2,14,1,18,1,8,3,10,8,8,2,10,9,8,1,10,3,18,2,10,33,8,4,18,3,10,9,18,3,10,1,18,1,3,1,18,1,10,1,18,2,10,32,8,3,10,17,8,2,10,9,8,5,18,4,15,2,14,2,15,1,8,1,15,7,14,24,17,1,16,1,17,6,16,6,17,1,14,3,17,1,16,2,17,2,14,1,17,1,14,5,16,5,17,1,16,4,14,3,16,4,17,4,14,5,17,7,14,4,17,8,16,1,17,4,14,7,17,2,3,2,14,5,3,1,16,7,17,1,14,4,17,1,16,2,17,1,14,70,15,5,14,5,7,3,8,32,18,11,8,3,18,4,8,7,18,3,8,67,10,2,8,22,10,13,8,18,10,3,8,3,18,3,10,13,8,5,10,16,8,11,10,1,8,1,10,1,8,5,10,58,18,1,10,121,18,3,10,18,8,1,10,3,8,1,18,4,8,5,10,10,8,3,10,9,8,1,10,12,8,5,10,6,8,3,10,33,8,2,10,48,8,4,10,8,8,14,10,31,8,3,10,113,8,2,10,66,8,2,10,77,8,6,10,5,4,12,10,1,8,3,10,56,8,2,4,5,19,5,4,8,10,7,8,1,10,57,8,8,10,23,8,2,10,18,4,1,19,5,4,104,19,4,4,2,10,17,8,4,10,10,8,1,10,1,4,2,19,5,4,430,},
{4,744,19,6,4,2,10,3,8,6,9,1,4,9,9,1,18,3,10,5,18,3,10,11,18,2,10,2,4,8,10,2,8,6,10,5,8,3,18,2,8,6,10,1,8,1,18,2,10,2,18,3,10,1,18,1,3,1,18,1,10,17,8,1,9,1,10,8,18,1,3,3,18,1,10,7,9,1,8,2,18,1,14,2,3,2,14,1,15,1,8,1,10,21,8,2,10,36,8,5,10,1,18,2,10,9,18,3,10,1,8,1,18,2,10,9,18,1,10,25,8,3,10,17,8,2,10,8,8,7,18,8,8,2,15,3,8,1,18,1,15,1,14,16,15,3,14,5,17,1,16,1,17,7,16,6,17,1,14,2,17,1,16,6,17,1,14,4,16,5,17,2,16,3,17,3,16,3,17,5,14,8,17,2,16,2,17,1,14,3,17,3,14,4,17,3,14,8,17,8,14,3,16,5,3,1,14,7,3,1,16,1,17,1,14,65,15,2,14,5,15,5,14,4,7,3,8,32,18,12,8,2,18,4,8,8,18,2,8,67,10,2,8,15,10,1,8,5,10,15,8,17,10,4,8,2,18,3,10,14,8,3,10,10,8,1,10,2,8,1,10,5,8,1,10,1,8,7,10,2,8,5,10,97,18,2,10,83,18,1,10,2,18,3,10,3,18,2,10,9,8,1,10,3,8,1,18,5,8,4,10,10,8,3,10,9,8,1,10,4,8,3,10,4,8,6,10,6,8,3,10,32,8,3,10,26,8,2,10,19,8,5,10,8,8,15,10,146,8,2,10,66,8,3,10,87,4,2,19,7,4,3,10,1,8,1,18,2,10,58,4,3,19,12,4,3,10,7,8,1,10,2,8,1,10,54,8,8,10,43,4,1,19,5,4,28,19,6,4,70,19,4,4,2,10,17,8,4,10,8,8,4,4,2,19,5,4,430,},
{4,744,19,5,4,3,10,4,8,5,9,1,4,8,18,5,10,5,18,2,10,8,18,3,10,5,4,8,10,1,8,6,10,6,8,2,18,2,10,1,8,6,10,6,18,3,10,1,3,2,18,1,10,17,8,2,10,8,18,1,14,1,3,1,14,1,8,1,10,4,9,1,10,1,9,1,8,1,15,2,14,3,3,3,14,1,8,1,10,21,8,2,10,36,8,4,10,14,18,1,10,3,18,2,10,35,8,2,10,18,8,1,10,9,8,9,18,6,8,2,15,3,18,2,14,17,15,2,14,7,17,11,16,3,17,1,14,2,17,1,16,8,17,1,14,1,17,1,16,5,17,3,16,1,17,4,16,3,14,2,17,2,14,10,17,2,16,1,17,1,14,3,17,5,14,10,17,5,16,2,17,5,14,2,16,3,14,77,18,2,15,1,14,5,15,5,14,5,7,2,8,20,10,1,8,12,18,17,8,77,10,2,8,15,10,21,8,16,10,5,8,2,18,3,10,14,8,3,10,10,8,1,10,2,8,1,10,8,8,6,10,2,8,5,10,97,18,3,10,57,18,1,10,4,18,1,10,19,18,1,10,2,18,8,10,13,8,1,18,5,8,2,10,24,8,1,10,4,8,3,10,4,8,5,10,8,8,1,10,33,8,2,10,15,8,2,10,10,8,3,10,18,8,5,10,8,8,15,10,1,8,2,10,211,8,2,10,43,8,2,10,43,4,2,19,8,4,3,10,1,18,2,10,35,8,1,10,8,8,3,10,11,4,2,19,13,4,2,18,1,10,65,8,7,10,44,4,1,19,5,4,28,19,6,4,70,19,4,4,2,10,16,8,4,10,13,4,2,19,5,4,430,},
{4,744,19,5,4,2,10,5,8,5,9,1,4,8,18,4,10,6,18,1,10,7,18,5,10,5,4,8,10,1,18,1,8,2,10,4,8,1,10,5,8,2,18,1,10,1,8,7,10,5,18,2,10,2,3,2,18,2,10,16,8,1,18,1,8,1,10,6,8,1,18,4,10,4,8,2,9,1,8,1,15,1,14,6,3,2,14,1,8,1,10,36,8,1,10,22,8,4,10,16,18,1,10,1,18,2,8,1,10,33,8,3,10,27,8,18,18,1,15,4,14,10,15,2,14,14,17,11,16,4,17,2,16,16,17,9,16,2,17,1,14,20,17,9,14,6,17,9,14,3,17,1,14,2,17,1,16,1,14,78,15,5,14,3,15,5,14,6,7,2,8,19,10,1,8,7,10,2,8,4,18,8,8,1,18,6,8,78,10,2,8,7,10,2,8,7,10,20,8,15,10,5,8,3,18,3,10,14,8,3,10,9,8,2,10,11,8,6,10,2,8,5,10,98,18,2,10,82,18,1,10,1,18,9,10,14,8,1,18,3,8,2,10,7,8,2,10,15,8,3,10,3,8,3,10,17,8,1,10,5,18,3,10,41,8,4,10,9,8,2,10,18,8,6,10,9,8,19,10,248,8,1,10,5,8,1,10,43,4,3,19,8,4,7,10,27,8,3,10,2,8,16,10,7,4,4,19,13,4,2,18,1,8,1,10,47,8,3,10,16,8,5,10,44,4,1,19,5,4,28,19,7,4,42,19,5,4,22,19,4,4,2,10,16,8,4,10,13,4,2,19,5,4,430,},
{4,744,19,5,4,2,10,5,8,5,9,1,4,8,10,1,18,3,9,1,10,5,18,1,10,7,18,4,10,6,4,8,18,2,8,2,10,4,8,2,10,5,8,1,10,2,8,7,10,5,18,2,10,2,18,1,3,1,18,3,10,15,8,1,18,2,10,5,8,1,18,2,8,2,9,1,10,3,8,1,18,1,15,1,8,1,18,1,15,1,14,1,3,2,14,1,15,2,14,3,18,1,10,35,8,3,10,4,18,2,10,15,8,2,10,6,18,2,10,12,8,1,18,2,10,3,18,2,10,8,18,1,10,18,8,3,10,28,8,11,18,2,8,5,18,1,15,4,14,10,15,2,14,14,17,11,16,8,17,3,16,10,17,12,14,22,17,10,14,4,17,1,16,1,17,1,14,94,15,2,18,2,15,7,14,7,7,4,8,33,18,4,8,3,18,5,8,79,10,1,8,7,10,2,8,8,10,7,8,4,10,1,8,1,10,6,8,15,10,5,8,3,18,1,4,1,10,15,8,3,10,8,8,4,10,5,8,2,10,4,8,5,10,2,8,5,10,127,18,3,10,27,18,2,10,3,18,2,10,6,18,1,10,11,18,3,10,2,18,2,10,2,18,2,10,14,8,1,18,2,8,2,10,8,8,2,10,15,8,3,10,3,8,3,10,17,8,1,10,5,18,5,10,35,8,8,10,10,8,1,10,18,8,2,10,15,8,17,10,11,8,1,10,234,8,5,10,46,18,1,4,4,19,7,4,8,10,24,8,24,10,6,4,4,19,13,4,1,18,1,8,1,10,47,8,5,10,64,4,1,19,5,4,28,19,8,4,40,19,6,4,22,19,4,4,2,10,15,8,5,10,13,4,2,19,5,4,430,},
{4,744,19,5,4,2,10,6,8,4,9,1,4,8,10,1,9,1,18,3,10,4,18,3,10,8,18,1,10,7,4,8,18,1,8,2,10,5,8,2,10,8,8,7,10,5,18,2,10,2,8,1,18,1,10,2,18,1,10,7,9,3,10,5,9,1,18,1,8,1,10,5,18,3,8,1,10,2,9,3,8,1,15,5,14,4,18,1,8,2,15,2,18,1,8,1,10,2,8,2,10,9,8,1,10,20,8,4,10,3,18,1,10,1,18,1,10,15,8,1,10,6,18,2,10,10,18,1,10,2,18,2,10,3,18,2,10,8,18,1,10,18,8,3,10,29,8,9,18,4,8,1,18,5,15,2,14,10,15,3,14,8,3,1,17,2,14,3,17,11,16,7,17,4,16,8,17,14,14,15,15,4,14,7,17,7,14,4,17,2,14,94,18,4,15,4,14,11,7,7,8,36,18,4,8,88,10,1,8,11,10,4,8,8,10,4,8,15,10,6,8,3,10,1,4,1,10,15,8,3,10,7,8,8,10,1,8,4,10,3,8,12,10,90,8,1,10,14,18,1,10,21,18,3,10,28,18,2,10,3,18,1,10,6,18,1,10,10,18,3,10,22,8,5,10,20,8,2,10,3,8,3,10,24,8,1,10,5,18,5,10,33,8,6,10,33,8,2,10,15,8,13,10,1,8,1,10,248,8,6,10,45,18,1,4,8,19,5,4,1,19,3,4,2,10,24,8,24,10,6,4,4,19,12,4,2,10,49,8,4,10,64,4,2,19,5,4,28,19,8,4,40,19,6,4,22,19,4,4,2,10,14,8,5,10,15,4,1,19,5,4,430,},
{4,744,19,5,4,2,10,6,8,4,9,1,4,8,10,2,18,4,10,3,18,3,10,3,8,1,10,6,8,1,10,5,18,1,4,7,10,8,8,2,10,8,8,8,10,3,18,1,10,2,18,1,10,5,18,1,10,9,9,1,10,6,8,1,10,6,18,1,14,1,18,1,8,1,10,1,9,1,8,1,18,1,8,1,18,1,15,1,14,2,15,3,14,2,15,1,8,9,10,4,8,1,10,6,8,1,10,21,8,4,10,2,18,3,10,15,18,1,10,4,8,1,10,1,18,2,10,10,18,1,10,2,18,2,10,3,18,2,10,12,8,1,10,15,8,3,10,28,8,1,10,4,8,4,18,6,15,2,18,2,15,2,14,2,15,3,14,4,15,5,14,7,17,1,16,2,17,1,14,1,17,10,16,4,17,1,16,4,17,7,16,5,17,3,16,3,17,2,14,1,17,8,14,9,15,2,8,5,15,1,7,1,14,9,17,4,14,9,15,2,8,1,15,1,14,87,18,4,15,2,14,17,7,3,8,31,18,1,8,3,18,3,8,3,18,2,8,109,10,2,8,6,10,1,8,6,18,2,8,1,10,2,8,1,10,2,8,4,10,18,8,2,10,6,8,8,10,2,8,14,10,2,8,3,10,104,4,3,10,20,18,4,10,28,18,1,10,3,18,2,10,4,18,2,9,1,10,9,18,3,10,22,8,1,10,1,8,2,10,21,8,2,10,3,8,3,10,68,8,6,10,19,8,3,10,4,8,2,10,5,8,2,10,16,8,12,10,23,8,5,10,222,8,6,10,24,8,3,10,18,4,12,19,6,4,2,18,1,10,23,8,23,10,7,4,5,19,2,4,1,19,7,4,3,10,50,8,2,10,11,8,2,10,52,4,2,19,5,4,28,19,8,4,39,19,6,4,24,19,3,4,2,10,13,8,6,10,14,18,1,4,1,19,5,4,430,},
{4,744,19,5,4,2,10,6,8,4,9,1,4,8,10,3,18,2,10,4,18,3,10,16,18,1,4,7,10,18,8,8,10,2,18,1,10,7,18,1,10,25,18,1,14,1,18,1,8,1,9,1,8,1,18,2,8,2,15,1,14,3,8,2,15,3,18,1,8,1,10,5,8,2,10,4,8,2,10,8,8,1,10,20,8,3,10,20,18,1,10,5,18,2,10,10,18,1,10,2,18,1,8,1,10,3,18,1,10,13,8,1,10,16,8,2,10,8,8,2,10,2,18,2,10,14,8,1,10,5,8,3,18,6,14,2,18,1,8,1,15,2,14,2,18,2,15,1,14,4,15,5,14,7,3,1,16,2,17,11,16,10,17,3,16,1,17,1,14,2,17,1,16,4,17,3,16,3,17,2,14,1,17,6,16,2,14,7,15,2,8,10,7,2,14,16,15,3,8,4,15,1,14,17,16,1,17,1,14,39,15,1,14,14,3,1,14,1,3,1,14,10,18,5,15,1,14,18,7,2,8,3,18,2,8,14,18,3,8,8,18,6,8,5,18,3,8,79,10,3,8,27,10,1,8,5,10,4,8,4,18,2,8,1,10,2,8,2,10,1,8,3,10,26,8,6,10,6,8,13,10,3,8,3,10,102,4,5,10,1,4,11,10,1,4,3,10,3,18,2,10,1,18,1,10,6,18,2,10,16,8,1,10,3,18,1,10,3,18,2,10,4,18,2,10,7,18,2,10,6,18,2,10,20,8,2,10,15,18,2,10,9,8,2,10,59,8,6,10,4,8,6,10,3,8,6,10,9,8,4,10,4,8,3,10,3,8,3,10,7,8,3,10,6,8,12,10,21,8,8,10,18,8,2,10,80,8,3,10,84,8,2,10,6,8,1,10,25,8,5,10,23,8,8,10,3,8,1,10,7,8,1,18,3,4,12,19,6,4,2,18,1,8,1,10,13,8,6,10,4,8,5,10,3,8,5,10,3,8,5,10,4,8,2,10,2,4,10,19,5,4,2,10,62,8,6,10,8,8,1,10,7,8,2,10,32,4,2,19,5,4,19,19,3,4,6,19,8,4,39,19,5,4,21,19,2,4,7,10,1,8,2,10,8,8,7,10,5,8,1,10,5,4,2,18,1,4,2,19,6,4,430,},
{4,744,19,5,4,2,10,6,8,4,9,1,18,1,4,7,9,1,8,1,9,2,10,1,9,1,8,3,9,1,18,1,10,3,8,1,10,1,8,1,10,10,9,1,4,8,10,17,8,10,10,1,8,2,10,6,18,2,10,24,18,1,14,2,18,3,14,2,15,3,14,3,18,1,8,1,15,2,14,1,15,1,8,3,10,19,8,1,10,20,18,3,8,1,10,18,18,2,8,1,10,2,8,1,10,1,18,2,10,10,18,1,10,2,18,2,10,33,8,1,18,2,10,9,8,1,10,2,18,2,10,19,8,3,18,6,14,3,15,1,18,1,15,1,14,2,15,1,18,1,8,1,15,1,14,4,15,6,14,7,17,1,16,1,17,9,16,7,17,1,16,4,17,1,16,3,17,2,14,2,17,1,16,4,17,1,16,5,17,3,16,2,17,2,16,3,17,1,14,6,15,1,8,15,15,1,14,8,15,2,14,2,15,3,8,5,15,1,14,17,16,1,3,1,14,68,15,3,14,10,7,2,14,9,7,1,8,3,7,1,14,1,8,5,18,2,8,7,18,3,8,8,18,6,8,87,10,3,8,33,10,4,8,4,18,2,8,1,10,1,8,2,10,2,8,4,10,26,8,4,10,7,8,13,10,13,8,2,10,93,4,2,19,2,4,18,10,2,9,2,18,2,10,33,18,1,10,21,18,2,10,18,8,3,10,8,4,18,10,1,8,4,10,57,8,4,10,6,8,6,10,2,8,6,10,10,8,6,10,8,8,3,10,7,8,1,10,8,8,12,10,21,8,7,10,19,8,2,10,80,8,3,10,83,8,3,10,52,8,3,10,4,8,10,10,1,8,3,10,6,8,1,18,4,4,11,19,6,4,1,18,2,8,1,10,12,8,8,10,4,8,3,10,14,8,1,10,6,8,3,9,1,4,10,19,4,4,2,18,1,10,61,8,5,10,10,8,2,10,6,8,2,10,15,8,2,10,14,8,1,4,2,19,4,4,18,19,5,4,6,19,8,4,39,19,4,4,21,19,4,4,6,10,1,8,3,10,6,8,7,10,4,8,3,10,4,4,5,19,7,4,430,},
{4,744,19,5,4,1,10,1,8,4,10,2,8,4,9,1,18,1,4,6,18,1,8,14,18,2,10,10,4,10,10,3,8,1,10,7,8,1,10,6,8,4,10,3,18,1,8,9,9,1,10,5,18,2,10,17,18,1,10,1,8,1,14,13,15,2,14,3,15,2,8,1,18,1,8,1,10,16,8,2,10,3,18,1,10,8,8,3,10,5,8,1,18,3,8,1,10,18,8,2,10,6,18,1,10,8,18,1,9,1,18,1,10,1,8,1,18,2,10,11,18,2,10,20,18,1,3,1,18,1,8,1,10,31,8,5,18,2,8,2,14,8,15,6,14,17,17,1,16,2,17,2,14,3,17,1,16,5,17,3,16,16,17,2,16,16,17,1,14,7,15,5,8,1,15,1,8,3,10,4,8,1,15,1,14,6,15,1,8,4,15,9,14,18,3,1,14,81,15,1,14,12,15,3,14,2,7,1,8,4,18,2,8,8,18,1,8,14,18,1,8,61,10,1,8,62,10,4,8,6,10,2,8,1,10,3,8,4,10,17,8,1,10,8,8,2,10,7,8,14,10,12,8,3,10,93,4,1,19,7,4,4,19,1,4,9,18,3,10,56,18,1,10,11,18,2,10,6,8,3,10,10,4,2,19,14,4,2,10,1,8,7,10,64,8,13,10,11,8,7,10,7,8,2,10,6,8,1,10,6,8,6,10,1,8,1,10,6,8,2,10,22,8,3,10,46,8,3,10,140,8,1,10,12,8,5,10,26,8,3,10,7,8,1,10,12,8,9,10,9,8,1,18,3,4,11,19,3,4,3,18,2,8,2,10,11,8,8,10,29,8,2,9,1,4,16,10,78,8,4,10,16,8,5,10,14,8,2,4,24,19,4,4,7,19,7,4,27,19,7,4,5,19,2,4,9,19,3,4,11,19,5,4,6,10,2,8,3,10,4,8,2,10,1,8,4,10,4,8,3,10,5,4,3,19,7,4,432,},
{4,745,19,2,4,3,10,1,8,4,10,3,8,4,10,1,18,2,9,2,10,3,8,15,10,11,4,6,18,2,4,1,10,3,8,1,18,1,10,6,8,6,10,2,8,1,18,1,8,1,18,1,10,4,8,10,10,6,18,2,10,19,18,1,14,1,3,1,14,3,15,2,14,11,15,3,8,1,10,16,8,1,10,4,18,1,10,8,8,3,10,5,18,3,8,2,10,39,18,3,10,11,18,2,10,16,18,2,10,2,3,2,18,1,8,1,10,31,8,9,15,1,14,7,15,5,14,19,17,4,14,4,16,5,17,1,14,2,17,5,16,11,17,1,16,18,14,13,15,3,8,1,10,4,9,1,8,1,14,6,8,2,10,1,8,3,15,1,14,102,3,1,14,4,15,1,14,18,8,29,18,1,8,61,10,1,8,7,10,3,8,37,10,1,8,15,10,3,8,6,10,6,8,4,10,17,8,2,10,15,8,15,10,9,8,1,10,1,8,4,10,85,18,1,10,6,4,2,19,15,4,6,18,3,10,27,18,1,10,28,18,1,10,9,18,5,10,4,8,2,10,12,4,2,19,15,4,2,10,1,8,6,10,64,8,11,10,14,8,6,10,8,8,1,10,13,8,6,10,8,8,3,10,30,8,2,10,22,8,4,10,12,8,4,10,124,8,3,10,25,8,6,10,25,8,1,10,24,8,7,10,11,8,3,4,16,18,2,8,2,10,13,8,4,10,13,8,1,10,17,8,2,9,1,10,1,4,13,18,2,10,78,8,6,10,14,8,5,10,13,8,3,18,1,4,2,18,1,10,1,18,1,4,18,19,4,4,4,18,2,4,2,19,5,4,28,19,8,4,14,19,4,4,11,19,4,4,7,10,2,8,2,10,4,8,2,10,3,8,3,10,4,8,2,10,6,18,1,4,1,19,8,4,432,},
{4,749,10,2,8,3,10,5,8,25,10,12,4,6,18,2,10,4,8,1,18,1,10,6,8,2,10,1,8,3,10,2,8,3,18,1,10,3,18,1,8,11,10,26,18,1,14,3,15,1,18,1,8,3,15,1,14,1,3,3,14,1,3,2,14,3,15,2,8,1,10,24,18,1,10,6,8,2,10,5,8,1,18,1,8,3,10,8,8,1,10,11,8,1,10,1,8,2,10,7,8,1,10,4,18,1,10,1,8,1,18,3,8,1,10,31,18,1,3,2,18,1,10,32,8,9,18,1,15,1,14,7,15,3,14,22,17,2,14,3,17,1,16,4,17,1,14,3,17,10,16,14,17,4,16,6,17,1,14,14,15,3,8,1,10,3,8,1,15,1,14,6,15,1,8,4,15,2,14,127,15,1,8,28,18,1,8,60,10,1,8,64,10,2,8,5,10,3,8,1,10,3,8,4,10,18,8,2,10,6,8,2,10,6,8,15,10,8,8,7,10,93,4,1,19,15,4,6,18,1,10,69,18,5,10,12,8,1,10,2,4,3,19,16,4,3,10,1,8,4,10,64,8,11,10,16,8,5,10,23,8,8,10,2,8,6,10,39,8,1,10,38,8,1,10,119,8,3,10,25,8,5,10,52,8,7,10,14,18,1,4,8,18,2,4,1,10,1,18,4,8,2,10,4,8,4,10,20,8,4,10,16,8,5,9,3,18,3,8,1,9,2,10,3,18,1,8,1,10,77,8,8,10,13,8,5,10,14,8,3,18,1,9,1,10,4,4,16,19,5,4,2,10,1,18,4,4,1,19,6,4,26,19,9,4,3,18,3,10,3,18,1,4,3,19,5,4,11,19,4,4,6,10,15,8,3,10,2,8,3,10,6,4,2,19,8,4,432,},
{4,748,10,3,8,2,10,6,8,25,10,12,4,6,18,1,10,5,8,2,10,10,8,6,18,2,10,3,18,1,8,9,18,1,10,27,8,1,18,1,14,2,18,1,8,2,10,1,8,1,15,1,14,1,3,1,16,1,3,1,14,6,15,2,8,1,10,7,8,3,10,14,18,1,10,6,8,1,10,6,8,3,10,9,8,1,10,11,8,5,18,2,10,4,18,1,8,1,10,3,18,2,10,1,18,5,10,31,18,4,10,32,8,3,10,2,8,5,18,1,14,7,15,3,14,23,17,1,14,3,17,2,16,2,17,2,14,3,17,11,16,11,17,1,14,8,17,3,16,1,17,1,14,16,15,1,8,3,15,2,14,7,15,4,14,27,3,1,14,31,3,1,14,70,18,1,8,154,10,1,8,5,10,7,8,4,10,13,8,1,10,4,8,3,10,6,8,1,10,7,8,14,10,2,8,2,10,4,8,6,10,10,8,2,10,82,4,1,19,15,4,6,10,71,18,5,10,1,8,1,10,8,8,2,10,2,4,2,19,17,4,3,10,69,8,10,10,17,8,6,10,23,8,15,10,32,8,1,10,5,8,2,10,38,8,1,10,119,8,3,10,25,8,2,10,22,8,1,10,32,8,3,10,1,8,3,10,4,8,3,10,7,18,2,4,6,18,2,9,1,10,2,18,4,8,1,10,5,8,9,10,10,8,9,10,16,8,8,18,3,8,3,10,2,8,1,18,1,8,2,10,71,8,3,10,1,8,9,10,14,8,4,10,16,8,3,10,4,4,17,19,4,4,1,10,2,8,1,18,3,4,1,19,7,4,21,19,13,4,2,18,4,10,4,4,2,19,6,4,11,19,6,4,3,10,16,9,1,18,2,9,1,8,1,10,1,8,2,10,6,4,2,19,8,4,432,},
{4,748,10,3,8,2,10,6,8,7,10,2,8,5,10,2,8,10,10,11,4,6,18,1,10,17,8,5,10,1,18,2,10,3,18,1,8,7,18,1,8,1,18,1,10,22,8,1,10,4,8,2,15,1,14,1,15,1,8,2,10,1,8,2,14,2,3,1,14,7,15,2,8,2,10,1,8,2,10,1,8,6,10,19,8,2,10,6,8,2,10,21,8,5,18,3,10,8,18,2,10,2,8,1,18,3,8,1,10,31,18,3,8,1,10,32,8,3,10,3,8,4,18,1,14,7,15,2,14,19,15,3,14,6,17,7,14,2,17,7,16,15,17,1,14,8,17,5,14,17,15,3,14,9,15,3,14,28,3,2,14,24,3,7,14,29,15,3,14,38,15,1,8,19,18,2,8,22,18,1,8,117,10,6,8,4,10,12,8,2,10,4,8,3,10,13,8,15,10,2,8,2,10,4,8,6,10,94,4,1,19,15,4,6,10,71,18,6,8,2,10,6,8,3,10,2,4,2,19,18,4,2,8,1,10,60,8,1,10,8,8,9,10,4,8,1,10,13,8,6,10,25,8,1,10,5,8,6,10,198,8,2,10,84,8,2,10,1,8,3,10,4,8,3,10,8,18,1,10,7,8,1,10,3,8,4,10,6,8,9,10,10,8,3,10,2,8,4,10,16,8,13,10,3,18,2,8,2,10,71,8,8,10,39,8,2,10,5,4,22,10,1,9,1,8,1,18,3,4,1,19,40,4,3,18,3,8,1,10,4,4,2,19,6,4,11,19,7,4,2,10,10,8,1,10,4,8,1,4,6,10,1,8,1,10,7,4,1,19,8,4,432,},
{4,748,10,3,8,2,10,6,8,6,10,3,8,3,10,5,8,10,10,10,4,5,18,2,10,17,8,3,10,1,8,1,10,2,18,1,10,3,18,1,8,7,10,1,8,1,10,22,9,1,18,1,8,1,10,4,8,1,18,1,14,3,15,1,8,2,15,1,14,4,15,2,14,6,15,1,8,6,15,1,14,1,15,1,8,2,10,15,8,2,10,2,8,2,10,5,8,3,10,20,8,5,18,1,8,1,18,1,10,10,18,1,10,2,8,2,18,1,8,1,10,68,8,3,10,4,8,3,18,1,15,1,14,28,15,2,14,5,17,14,16,18,17,1,14,10,17,1,14,61,3,3,14,16,3,2,14,5,3,9,14,27,15,5,14,2,15,1,14,21,15,3,14,11,8,42,18,3,8,116,10,5,8,5,10,13,8,1,10,5,8,2,10,13,8,20,10,3,8,7,10,93,4,2,19,5,4,3,19,6,4,6,10,55,18,3,10,14,18,4,8,3,10,6,8,3,10,2,4,2,19,18,4,2,10,61,8,1,10,7,8,9,10,21,8,5,10,15,8,4,10,15,8,1,10,261,8,2,10,23,8,4,10,6,8,2,10,30,8,3,10,40,8,4,10,1,8,9,10,2,18,3,8,2,10,71,8,5,10,49,4,23,18,1,8,1,18,3,4,3,19,35,4,5,18,1,8,3,10,5,4,2,19,6,4,12,19,6,4,2,10,10,8,2,10,4,4,6,10,9,4,1,19,8,4,432,},
{4,742,19,5,4,2,10,2,8,3,10,5,8,6,10,3,8,3,10,6,8,8,10,12,18,2,10,1,18,3,10,17,8,5,10,3,18,4,8,9,10,22,8,1,18,2,8,1,10,4,8,1,14,2,3,1,14,1,15,4,14,2,15,6,14,4,15,1,18,3,15,2,14,3,15,1,8,1,10,15,8,2,10,2,8,2,10,5,8,3,10,19,8,3,10,1,8,3,18,2,10,64,18,2,10,12,8,1,10,6,8,2,10,6,8,2,18,1,15,1,14,5,15,1,14,29,17,6,16,26,17,1,14,71,3,2,16,1,3,1,14,14,3,3,14,6,3,5,14,2,3,1,14,28,15,4,14,2,15,3,14,18,15,6,14,10,18,1,8,41,18,3,8,10,18,2,8,104,10,4,8,5,10,20,8,2,10,11,8,14,10,2,8,6,10,3,8,8,10,1,8,4,10,81,18,1,10,5,4,22,10,55,18,3,10,18,8,5,10,9,4,2,19,19,4,2,18,1,10,59,8,1,10,7,8,9,10,23,8,3,10,11,8,9,10,80,8,2,10,194,8,2,10,23,8,4,10,81,8,4,10,1,8,9,10,1,8,1,18,2,8,2,10,73,8,2,10,52,4,22,18,5,10,1,4,4,19,32,4,2,18,4,10,1,8,1,10,7,4,2,19,6,4,14,19,4,4,3,10,8,8,3,10,2,18,1,4,7,9,1,10,8,4,1,19,8,4,432,},
{4,742,19,5,4,2,10,2,8,4,10,3,8,6,10,5,8,1,10,8,8,6,10,13,18,2,10,1,18,3,10,17,8,3,18,1,8,1,10,3,18,4,8,9,10,22,8,1,18,1,14,1,18,1,8,2,10,1,8,1,18,1,14,1,3,3,14,1,15,4,14,13,15,2,14,2,3,2,14,1,18,1,8,1,10,15,8,2,10,2,8,2,10,5,8,2,10,20,8,4,10,2,8,1,18,1,10,64,18,3,10,12,8,1,10,5,8,2,10,8,8,2,15,1,14,35,17,6,16,26,17,2,14,66,3,3,14,1,3,2,16,1,3,1,14,13,3,3,14,7,3,3,14,34,15,1,14,4,15,4,14,16,15,7,14,11,18,2,8,39,18,4,8,7,18,4,8,105,10,3,8,5,10,20,8,2,10,10,8,16,10,2,8,5,10,3,8,7,10,2,8,4,10,5,8,2,10,74,18,2,10,4,4,22,10,48,18,1,10,6,18,3,10,18,8,7,10,7,4,2,19,20,4,2,10,5,8,1,10,53,8,1,10,6,8,10,10,38,8,7,10,6,8,5,10,4,8,1,10,26,8,2,10,7,8,2,10,28,8,3,10,107,8,1,10,86,8,1,10,24,8,3,10,79,8,6,10,1,8,9,10,1,8,1,18,2,8,1,10,96,8,2,10,31,4,21,18,5,10,2,4,5,19,29,4,2,18,2,8,2,10,10,4,2,19,6,4,14,19,5,4,2,10,8,8,4,9,1,4,8,10,9,4,1,19,8,4,432,},
{4,742,19,5,4,2,10,2,8,5,10,2,8,6,10,15,8,4,10,14,18,2,10,1,8,1,18,1,8,1,10,17,8,2,18,2,10,4,18,1,10,2,18,1,8,6,10,25,8,1,15,1,14,1,15,1,18,1,8,3,15,1,14,1,3,1,16,1,3,1,14,2,15,1,14,15,15,2,14,2,3,2,14,1,18,1,10,49,8,3,10,4,8,1,10,13,8,1,10,3,18,3,10,44,18,3,10,18,8,2,10,8,8,2,18,1,14,35,17,5,16,28,17,2,14,64,3,1,16,2,3,4,16,1,3,1,14,66,15,3,14,16,15,6,14,13,18,1,8,28,18,1,8,10,18,4,8,9,18,2,8,105,10,3,8,5,10,21,8,1,10,10,8,16,10,2,8,5,10,3,8,5,10,13,8,1,10,82,4,21,10,54,18,3,10,21,8,6,10,6,4,2,19,20,4,2,10,5,8,2,10,9,18,2,10,41,8,1,10,6,8,9,10,51,8,11,10,35,8,3,10,27,8,3,10,106,8,2,10,20,8,1,10,2,8,1,10,38,18,1,10,1,18,2,10,34,8,2,10,9,8,4,10,5,8,1,10,72,8,16,10,1,18,2,8,2,10,96,8,3,10,30,4,3,19,5,4,13,18,5,9,1,10,1,4,7,19,2,4,27,18,1,8,2,10,11,4,1,19,6,4,15,19,5,4,2,10,12,9,1,4,8,10,9,4,1,19,8,4,432,},
{4,742,19,5,4,1,10,2,8,6,10,3,8,5,10,20,8,2,10,10,18,1,10,3,8,1,18,1,8,1,10,1,8,1,10,10,8,1,10,4,8,2,18,2,10,4,18,1,10,4,8,1,10,19,8,3,18,2,8,1,10,4,8,1,15,1,14,1,15,2,18,1,15,2,14,2,3,1,16,1,3,1,14,6,3,3,14,5,3,3,14,1,15,2,14,1,3,2,14,2,18,1,10,29,8,2,10,19,8,2,10,22,18,3,10,33,8,3,10,8,18,3,10,17,8,2,10,10,8,2,15,1,14,34,17,2,14,2,17,2,16,27,17,4,14,62,16,4,3,1,14,2,3,1,14,67,15,4,14,9,15,1,14,6,15,5,14,14,18,1,8,11,10,2,8,7,18,1,8,6,18,5,8,6,18,4,8,35,10,3,8,87,10,20,8,1,10,3,8,23,10,1,8,6,10,3,8,5,10,97,4,20,10,49,18,7,10,24,8,3,10,6,4,3,19,10,4,1,19,9,4,3,10,4,8,2,10,8,18,4,10,48,8,8,10,52,8,10,10,35,8,2,10,29,8,1,10,8,8,2,10,97,8,3,10,47,8,1,10,13,18,1,10,16,8,2,10,7,8,4,10,8,8,3,10,9,8,3,10,5,8,2,10,71,8,16,10,1,18,1,8,3,10,96,8,4,10,29,4,2,19,6,4,13,18,6,4,13,18,5,4,17,18,2,8,2,10,4,8,2,10,6,4,1,19,6,4,16,19,4,4,1,10,12,8,1,9,1,4,10,10,7,4,2,19,6,4,433,},
{4,742,19,5,4,1,10,1,8,6,10,28,8,2,18,1,8,1,10,9,18,1,10,3,8,1,18,1,8,4,10,9,8,7,18,2,10,4,18,2,10,3,8,2,10,18,8,2,18,4,8,1,10,3,8,1,18,1,15,1,8,2,18,1,15,1,14,2,3,3,14,7,3,1,16,1,3,2,14,2,3,5,14,2,15,1,14,2,3,1,14,2,8,1,10,29,8,3,10,18,8,2,10,23,18,1,10,34,8,2,10,29,18,2,10,5,8,2,10,3,8,2,15,1,14,35,17,1,14,2,17,2,16,26,17,6,14,34,3,2,14,24,3,1,16,3,3,1,14,71,15,1,8,1,15,2,14,9,15,1,14,6,15,5,14,14,18,1,8,18,18,4,8,5,18,1,15,3,18,3,8,5,18,2,8,35,10,5,8,66,10,2,8,18,10,1,8,2,10,19,8,33,10,2,8,5,10,157,18,2,10,7,18,7,10,32,4,2,19,6,4,10,19,6,4,3,10,14,18,1,10,2,18,1,10,55,8,1,10,15,8,2,10,36,8,9,10,35,8,2,10,38,8,2,10,97,8,3,10,60,18,2,10,17,8,1,10,5,8,7,10,7,8,3,10,10,8,1,10,6,8,1,10,72,8,15,10,2,18,1,8,3,10,96,8,4,10,30,4,2,19,6,4,7,19,3,4,2,18,1,4,10,18,3,10,1,18,1,10,3,8,1,18,20,10,2,8,2,10,5,8,4,10,4,4,1,19,6,4,21,10,12,8,1,9,1,4,13,10,4,18,1,4,440,},
{4,742,19,5,4,1,9,1,8,4,10,30,8,2,18,1,8,4,10,6,9,1,10,3,8,1,18,1,8,4,10,4,8,1,10,6,8,5,18,3,10,8,8,2,10,19,8,1,18,2,14,1,18,2,8,1,9,2,8,5,15,1,14,3,3,2,14,4,3,2,14,2,3,3,14,3,3,2,14,2,3,1,14,2,15,1,14,4,18,1,8,1,10,29,8,3,10,18,8,2,10,59,8,1,10,28,8,1,18,1,8,1,10,4,8,3,10,3,8,2,15,2,14,34,17,1,14,1,17,3,16,13,17,2,16,8,17,10,14,31,3,1,16,4,3,1,16,5,3,2,14,14,3,2,16,2,3,2,14,71,15,5,14,8,15,3,14,5,15,5,14,13,15,1,8,17,18,2,14,2,18,1,8,3,18,3,15,1,14,3,15,1,18,2,8,40,10,5,8,67,10,3,8,24,10,15,8,40,10,156,18,4,10,6,18,2,10,2,18,3,10,2,18,1,10,29,4,1,19,7,4,11,19,5,4,4,10,12,18,2,10,1,18,2,10,56,8,1,10,13,8,4,10,11,8,1,10,24,8,5,10,38,8,2,10,38,8,2,10,160,18,2,10,17,8,3,10,3,8,8,10,6,8,3,10,90,8,4,10,2,8,9,10,2,18,1,8,2,10,98,8,3,10,31,4,1,19,8,4,5,19,3,4,5,19,6,4,2,18,3,10,2,18,2,10,2,18,2,14,1,18,16,8,4,10,5,8,5,10,4,4,1,19,6,4,21,10,12,8,1,9,1,4,15,10,2,4,441,},
{4,742,19,5,4,1,9,1,8,4,10,29,8,3,10,3,8,4,10,3,18,3,10,2,8,1,18,1,8,3,10,5,8,1,10,6,8,5,10,1,18,2,10,29,8,1,18,1,14,3,18,3,8,6,15,1,14,9,16,2,14,19,18,2,10,4,8,1,10,13,8,2,10,9,8,2,18,1,8,1,10,10,8,1,10,7,8,1,10,73,18,1,10,11,9,1,8,1,10,2,8,1,18,1,8,1,10,4,8,1,18,1,8,1,10,3,8,2,15,2,14,33,17,6,16,11,17,6,16,6,17,10,14,31,16,12,3,2,14,12,3,6,14,72,15,1,8,2,15,1,14,9,15,5,14,4,15,6,14,11,15,2,8,15,18,1,14,5,18,1,8,2,18,5,14,1,15,1,18,3,8,112,10,3,8,27,10,1,8,3,10,9,8,36,18,1,8,2,10,157,18,2,10,6,18,3,10,1,18,4,10,2,18,1,10,29,4,1,19,7,4,20,10,12,18,4,10,70,8,6,10,10,8,1,10,67,8,3,10,37,8,2,10,179,8,3,10,3,8,8,10,6,8,3,10,28,8,2,10,10,8,1,10,49,8,4,10,2,8,9,10,2,18,1,8,2,10,132,4,2,19,8,4,4,19,4,4,2,19,8,4,2,18,3,10,6,8,1,18,1,14,1,18,2,8,5,18,8,8,2,10,8,8,5,10,4,4,1,19,6,4,21,18,1,10,11,9,1,18,1,4,458,},
{4,742,19,4,4,2,10,1,8,4,10,13,8,1,10,14,8,3,10,4,8,4,10,3,18,3,10,2,8,5,10,7,8,1,10,4,8,4,10,2,18,2,10,29,8,1,18,1,14,2,18,5,15,2,8,2,15,1,14,2,3,2,14,3,3,3,16,2,14,15,15,2,18,1,14,1,18,1,8,1,10,4,8,1,10,12,8,1,18,1,8,1,10,9,8,2,18,2,10,9,8,2,10,5,8,1,10,75,18,2,10,11,9,1,10,4,8,2,10,2,8,3,10,4,8,3,15,1,14,17,17,4,14,9,17,1,14,3,17,4,16,10,17,2,14,5,17,2,16,5,17,3,14,1,17,2,14,1,17,3,14,28,17,2,16,14,3,1,14,10,3,1,16,4,3,1,14,74,15,4,14,10,15,2,18,1,14,7,15,5,14,12,15,3,7,1,8,11,18,1,7,1,14,4,18,1,8,2,18,10,8,9,18,3,8,6,10,6,8,89,10,2,8,32,10,8,8,36,18,1,8,2,10,165,18,6,10,33,4,2,19,7,4,20,10,11,8,1,18,3,10,70,8,8,10,64,8,3,10,10,8,3,10,37,8,2,10,144,8,1,10,12,18,2,10,21,8,2,10,5,8,6,10,68,8,1,10,30,8,3,10,4,8,8,10,2,8,2,10,133,4,5,19,5,4,4,19,14,4,2,18,4,10,5,8,2,7,1,15,1,8,7,18,5,8,1,18,1,8,6,10,3,8,6,10,3,4,2,19,6,4,22,10,11,18,4,4,456,},
{4,748,9,1,8,4,10,11,8,3,10,14,8,4,10,2,8,2,10,1,8,1,10,10,8,2,10,9,8,2,10,3,8,4,10,3,18,1,10,4,18,3,10,22,8,1,18,1,14,2,18,3,15,1,14,1,15,4,14,2,3,3,14,2,3,1,16,3,3,5,14,4,3,2,14,2,15,5,18,4,8,1,10,4,8,2,10,11,18,2,8,1,10,10,8,1,18,2,8,1,10,9,8,1,10,22,8,2,10,57,18,2,10,17,8,2,10,8,8,3,15,1,14,17,17,4,14,9,17,2,14,2,17,2,16,9,17,2,14,9,17,5,16,1,17,3,14,4,17,4,14,26,17,1,16,7,14,2,3,1,16,6,14,11,16,5,14,34,3,2,14,39,15,4,14,10,15,2,14,10,15,6,14,6,15,1,14,4,15,2,8,12,18,1,7,1,14,3,18,2,8,5,18,6,8,8,18,5,8,5,10,8,8,87,10,1,8,9,18,1,8,30,10,1,8,39,10,105,18,2,10,59,18,1,10,37,4,2,19,7,4,12,19,6,4,2,10,6,8,2,10,3,8,1,10,1,18,2,10,141,8,5,10,9,8,3,10,37,8,1,10,133,8,3,10,21,18,3,9,1,10,28,8,7,10,17,8,1,10,46,8,4,10,8,8,5,10,3,8,5,10,8,8,3,10,4,8,8,10,2,8,2,10,78,8,1,10,56,4,3,19,23,4,5,18,8,14,1,15,1,18,2,8,5,18,7,8,16,10,1,4,3,19,5,4,23,18,1,10,10,18,3,9,2,4,455,},
{4,748,8,4,10,14,8,1,10,13,8,1,9,1,18,2,8,1,10,1,8,1,18,3,8,1,10,20,8,4,10,2,8,3,10,4,18,1,10,5,18,1,9,1,10,22,8,1,18,1,15,1,18,3,15,1,14,7,3,1,16,1,3,1,14,2,3,1,16,3,3,1,14,1,3,1,16,2,3,1,14,6,15,1,8,3,15,3,18,4,8,1,10,2,8,3,10,11,8,1,18,2,8,1,10,10,8,1,18,2,8,1,10,9,8,2,10,21,8,3,10,56,18,3,10,16,8,3,10,7,8,3,15,1,14,15,17,8,14,6,17,1,16,1,17,5,16,9,17,5,14,5,17,2,14,2,17,6,14,5,17,1,14,28,16,7,17,1,14,2,16,6,3,1,14,10,3,1,16,5,14,33,3,3,14,40,15,3,14,22,15,4,8,2,15,6,14,5,15,1,8,14,18,1,7,1,14,2,18,2,8,7,18,2,8,9,18,6,8,5,10,11,8,84,10,2,8,79,10,106,18,1,10,35,18,1,10,51,8,2,10,8,4,2,19,6,4,13,19,6,4,2,10,5,8,3,10,2,8,2,10,73,8,1,10,6,8,1,10,64,8,2,10,185,8,4,10,3,8,2,10,15,18,3,9,1,10,29,8,7,10,10,8,3,10,4,8,1,10,12,8,1,10,33,8,3,10,7,8,6,10,16,8,3,10,3,8,9,10,2,8,2,10,88,8,1,10,48,4,4,19,20,4,11,18,2,14,3,18,2,8,4,18,6,8,2,10,3,8,12,18,1,4,2,19,6,4,25,10,9,18,2,9,1,10,3,4,454,},
{4,748,9,1,8,1,10,27,8,4,18,3,8,1,10,1,18,4,8,1,10,1,8,1,18,3,8,7,10,6,8,12,10,33,8,1,18,2,15,1,18,1,15,1,14,1,3,2,14,4,16,3,14,3,16,3,14,3,16,3,14,6,8,1,10,3,8,1,15,3,18,6,8,2,18,1,8,1,10,9,8,1,18,4,10,3,18,1,10,6,8,4,10,10,8,2,10,14,18,2,10,4,8,1,18,1,8,1,10,10,18,1,10,48,18,1,10,16,8,2,10,8,8,2,15,2,14,13,17,8,16,2,14,5,17,1,16,3,17,4,16,8,17,3,16,4,14,2,17,1,16,2,17,1,14,2,17,6,14,6,17,2,14,26,16,3,17,2,16,3,14,1,16,4,17,1,3,4,14,10,16,5,14,33,3,2,14,45,15,4,14,16,15,2,18,3,8,5,15,2,14,5,15,2,8,14,15,1,14,2,18,2,8,1,18,1,8,17,18,7,8,4,10,12,8,48,18,3,8,32,10,2,8,42,10,3,8,34,10,7,8,2,10,104,18,5,10,4,18,1,9,1,18,1,9,1,18,1,10,67,8,2,10,8,4,2,19,5,4,14,19,6,4,2,10,5,8,3,10,1,8,4,10,42,8,1,10,28,8,4,10,3,8,4,10,26,8,6,10,217,8,4,10,20,18,4,10,5,18,1,10,13,8,1,10,9,8,7,10,6,8,2,10,3,8,2,10,17,8,1,10,33,8,7,10,5,8,4,10,17,8,13,10,2,8,2,10,86,8,4,10,48,4,5,19,15,4,15,18,2,14,3,18,3,8,4,18,5,8,1,10,7,8,1,18,5,8,2,18,2,4,3,19,5,4,26,10,8,8,2,10,4,4,2,19,5,4,447,},
{4,748,10,27,8,6,18,1,9,3,18,4,9,1,10,1,8,1,18,7,8,3,10,7,8,10,10,1,8,1,10,11,18,1,10,14,8,1,10,6,8,3,18,1,15,1,14,2,3,3,14,1,17,1,16,4,14,3,17,1,16,2,14,3,3,1,16,1,14,3,3,1,14,2,15,1,10,3,9,1,15,1,14,4,18,5,8,2,18,1,8,1,10,8,8,1,18,4,8,1,10,2,18,2,10,6,8,3,10,11,8,1,10,15,18,2,10,16,18,2,10,48,18,1,10,16,8,6,10,5,8,1,15,2,14,12,17,3,16,1,17,4,16,3,17,1,14,3,17,1,16,7,17,2,16,7,17,2,16,5,17,1,14,1,16,4,14,2,17,3,14,36,17,1,16,3,14,3,16,7,14,3,3,1,14,11,16,5,3,1,14,2,3,2,14,28,3,1,14,46,15,3,14,9,15,5,14,2,15,2,18,3,8,1,18,1,8,5,15,1,14,5,15,4,8,11,7,1,14,3,18,2,8,20,18,1,8,3,18,2,8,3,10,14,8,47,18,2,8,33,10,2,8,42,10,3,8,34,10,7,8,3,10,102,18,6,10,3,18,7,10,21,18,3,10,41,8,3,10,8,4,2,19,5,4,14,19,6,4,2,10,4,8,4,10,2,8,1,10,1,8,4,10,39,8,1,10,15,8,1,10,13,8,2,10,4,8,4,10,26,8,5,10,97,8,2,10,10,8,1,10,5,8,2,10,101,8,7,10,18,18,2,10,5,18,4,10,11,8,1,10,9,8,7,10,6,8,2,10,3,8,2,10,51,8,9,10,4,8,3,10,17,8,12,10,3,8,2,10,85,8,6,10,4,8,1,10,43,4,4,19,10,4,21,18,2,14,1,18,14,10,3,4,2,10,3,18,4,8,2,18,3,4,3,19,5,4,28,18,1,8,1,10,10,4,2,19,6,4,446,},
{4,741,19,5,4,2,8,2,10,6,8,2,10,15,8,11,18,5,10,2,18,6,8,4,10,10,8,8,10,1,8,2,10,24,8,2,10,7,9,1,8,1,18,1,14,2,3,3,16,7,14,12,16,3,14,2,8,1,9,2,8,1,15,1,14,4,3,1,14,1,18,2,8,6,10,7,8,2,18,2,8,1,10,3,18,1,10,7,8,3,10,46,18,2,10,48,18,2,10,15,8,1,18,4,8,1,10,5,8,1,15,2,14,12,17,7,16,4,17,1,14,3,17,5,16,3,17,7,16,5,17,2,16,2,17,2,16,4,17,1,14,1,17,2,14,38,16,2,17,1,14,3,16,7,14,10,3,2,14,2,3,1,16,5,3,2,14,1,3,1,14,88,15,1,18,2,15,2,14,1,15,3,18,1,8,3,18,2,8,2,18,1,15,2,14,5,15,4,7,1,8,10,7,1,14,3,15,1,18,1,8,24,18,2,8,3,10,15,8,47,18,1,8,33,10,2,8,34,10,2,8,6,10,3,8,28,10,1,8,5,10,7,8,3,10,106,18,1,10,5,18,3,10,1,18,2,10,20,18,6,10,39,8,3,10,3,8,2,10,2,4,2,19,6,4,14,19,6,4,2,10,4,8,3,10,4,8,3,10,56,8,1,10,20,8,3,10,27,8,3,10,58,8,1,10,23,8,3,10,26,8,2,10,107,8,7,10,25,18,5,10,33,8,2,10,3,8,2,10,51,8,9,10,4,8,4,10,16,8,12,10,3,8,2,10,86,8,4,10,5,8,1,10,45,4,3,19,8,4,14,19,4,4,4,18,3,14,2,18,11,4,10,18,3,8,1,10,1,4,6,19,5,4,19,19,6,4,3,10,12,4,1,19,7,4,446,},
{4,740,19,6,4,2,9,1,8,2,10,4,8,4,10,13,8,7,10,5,18,3,9,1,10,2,8,1,18,5,8,3,10,12,8,8,10,1,8,2,10,24,8,2,10,2,8,3,10,3,9,1,8,1,14,2,3,3,16,7,14,12,16,2,14,2,15,1,8,2,15,1,14,3,17,1,16,2,3,2,14,1,15,1,8,8,10,4,8,1,18,1,8,3,10,4,18,1,10,6,8,3,10,48,18,1,10,47,18,1,10,1,18,2,10,14,8,1,18,2,8,2,10,6,8,2,15,1,14,10,17,8,16,5,17,1,14,2,17,1,16,2,14,2,17,1,16,3,17,2,14,4,17,1,16,4,17,1,14,3,17,1,16,6,17,4,14,38,17,2,14,4,17,1,16,5,17,1,14,9,3,1,16,2,17,1,3,1,17,1,16,6,3,3,14,87,15,2,18,1,15,2,14,3,15,1,18,2,8,3,18,1,15,1,18,3,15,2,14,9,7,2,8,9,7,1,14,3,15,1,8,25,18,2,8,3,10,15,8,81,10,2,8,34,10,2,8,7,10,1,8,29,10,3,8,1,10,10,8,3,10,111,18,6,10,19,18,7,10,40,8,1,10,4,8,3,10,1,4,2,19,6,4,14,19,6,4,3,10,3,8,2,10,7,8,1,10,53,8,4,10,111,8,1,10,52,8,3,10,106,8,7,10,11,18,1,10,13,18,5,10,33,8,2,10,2,8,3,10,7,8,2,10,42,8,9,10,5,8,4,10,15,8,12,10,3,8,2,10,87,8,3,10,5,8,1,10,46,4,3,19,7,4,12,19,6,4,5,18,6,4,10,19,5,4,6,18,2,4,7,19,4,4,19,19,9,4,2,10,11,4,1,19,7,4,446,},
{4,740,19,5,4,3,9,1,8,1,10,3,8,7,10,11,8,6,10,5,8,1,10,1,9,1,18,1,9,1,10,3,8,1,18,3,8,5,10,11,8,9,10,1,8,1,10,25,8,5,18,1,8,2,10,2,9,1,8,1,15,1,14,2,3,2,16,4,17,1,16,3,14,10,3,1,16,2,14,1,15,1,8,2,15,1,14,2,17,3,16,1,3,4,14,1,15,1,18,1,15,2,8,4,10,4,8,5,10,11,8,3,10,34,18,4,10,5,18,2,10,3,18,1,10,8,18,1,10,56,9,2,10,9,8,2,15,1,14,10,17,3,16,2,17,8,14,2,17,1,16,3,17,1,14,1,17,2,16,2,17,2,14,4,17,1,16,4,14,1,15,2,14,2,17,1,16,1,17,5,14,41,17,3,14,4,16,5,14,10,3,1,16,3,3,1,17,1,16,7,3,2,14,83,15,2,14,3,15,2,14,5,15,1,18,9,15,9,14,4,7,4,15,2,7,1,8,2,15,2,14,3,15,1,8,16,18,2,8,7,18,2,8,3,10,15,8,126,10,1,8,10,18,3,14,1,18,1,8,13,10,16,8,3,10,70,8,1,10,34,18,2,10,5,18,1,10,20,18,6,10,48,8,3,10,1,4,2,19,6,4,14,19,6,4,4,10,11,8,1,10,9,8,1,10,42,8,5,10,6,8,2,10,156,8,3,10,106,8,7,10,10,18,2,10,15,18,2,10,34,8,2,10,2,8,3,10,6,8,4,10,41,8,9,10,6,8,3,10,15,8,12,10,2,8,2,10,88,8,4,10,3,8,2,10,46,4,3,19,7,4,12,19,7,4,8,18,1,4,11,19,9,4,10,19,4,4,8,19,6,4,6,19,9,4,2,10,11,4,1,19,7,4,446,},
{4,740,19,5,4,3,8,2,10,2,8,10,10,7,8,7,10,5,8,2,10,8,8,6,10,6,8,4,10,2,8,5,10,3,8,4,10,26,8,2,18,1,15,2,8,2,10,1,8,2,15,2,14,3,3,1,16,3,17,1,14,1,16,3,14,9,3,1,16,1,14,2,15,4,14,2,16,4,14,2,3,4,14,4,15,1,8,3,10,3,8,5,10,12,8,3,10,17,8,1,10,17,18,1,10,1,18,2,10,4,18,2,10,12,18,2,10,55,9,1,10,10,8,2,15,1,14,9,17,4,16,2,17,1,14,1,17,4,14,3,17,2,16,3,17,1,14,1,17,10,16,5,14,1,8,2,15,1,14,2,16,1,17,5,14,40,17,3,16,1,17,1,14,3,16,4,17,1,14,10,16,6,17,2,3,1,16,5,3,1,14,82,15,3,14,11,18,1,15,1,18,3,15,1,18,5,15,7,14,5,7,3,14,2,7,1,8,3,15,1,14,3,15,1,8,14,18,5,8,5,18,4,8,3,10,14,8,47,18,2,8,22,10,4,8,61,18,1,14,6,18,1,8,11,10,16,8,3,10,70,8,1,10,20,8,1,10,13,18,2,10,26,18,4,10,51,8,2,10,1,4,2,19,6,4,15,19,5,4,4,10,9,8,3,10,7,8,3,10,42,8,5,10,5,8,2,10,158,8,3,10,104,8,8,10,9,18,2,10,52,8,2,10,2,8,3,10,6,8,5,10,25,8,1,10,13,8,10,10,7,8,1,10,18,8,9,10,2,8,1,18,1,8,1,10,89,8,3,10,3,8,2,10,47,4,4,19,5,4,12,19,8,4,14,19,3,4,1,19,11,4,7,19,6,4,8,19,6,4,6,19,9,4,2,10,7,9,1,10,2,4,2,19,6,4,447,},
{4,740,19,6,4,2,8,2,10,2,8,12,10,4,8,7,10,5,8,4,10,11,8,2,10,6,8,2,18,1,8,1,10,2,8,5,10,4,8,4,10,25,8,1,18,1,14,2,15,1,8,4,15,1,14,1,15,3,14,1,3,1,16,8,14,9,16,1,3,1,14,1,15,1,8,1,15,1,14,3,16,4,17,1,14,3,3,7,14,1,18,1,8,2,10,2,9,1,8,4,10,13,8,2,10,4,8,2,10,12,8,1,10,19,18,1,10,5,18,1,10,68,18,1,8,1,9,2,10,9,8,2,15,1,14,8,17,5,16,2,14,2,17,2,16,1,17,1,14,3,17,1,16,4,17,9,16,7,17,1,14,1,8,2,15,1,14,2,17,6,14,3,17,1,16,2,17,2,14,13,17,3,14,14,17,5,16,1,17,1,14,4,16,3,14,10,16,3,3,2,16,2,3,1,14,2,3,1,16,5,3,1,14,20,3,2,14,59,15,3,14,11,15,3,14,1,15,2,18,6,15,6,14,6,7,1,14,3,15,1,8,3,15,2,14,1,15,2,8,13,18,6,8,5,18,5,8,4,10,11,8,47,18,3,8,22,10,5,8,29,10,1,8,19,10,5,8,5,18,2,14,6,18,1,8,12,10,3,8,1,10,11,8,3,10,105,18,2,10,26,18,3,10,52,8,1,10,2,4,2,19,6,4,24,10,6,8,8,10,5,8,3,10,97,8,1,10,114,8,3,10,72,8,1,10,31,8,8,10,8,18,3,10,52,8,2,10,2,8,2,10,8,8,4,10,25,8,1,10,5,8,1,10,7,8,10,10,26,8,9,10,2,18,2,8,1,10,95,8,1,10,50,4,2,19,6,4,7,19,1,4,3,19,10,4,12,19,17,4,3,19,8,4,8,19,5,4,7,19,9,4,2,10,3,8,3,9,1,18,1,4,4,19,5,4,448,},
{4,741,19,4,4,2,18,1,9,1,8,1,10,2,8,5,10,2,8,6,10,3,8,6,10,3,8,4,10,1,8,1,10,12,8,1,10,7,8,3,10,3,8,4,10,34,9,1,15,1,14,2,15,1,8,2,15,1,14,4,15,2,14,1,3,1,16,8,14,8,3,1,16,1,14,1,8,3,14,1,3,1,16,3,17,1,3,1,16,1,14,4,3,7,14,1,15,1,8,5,18,1,15,1,18,1,8,5,10,7,8,3,10,3,8,2,18,2,8,2,10,2,8,2,10,25,9,1,18,2,10,22,8,1,10,50,8,1,9,1,10,8,8,1,10,2,8,2,14,9,17,5,16,2,17,1,14,1,17,1,16,3,17,1,14,2,17,1,16,2,17,5,14,4,17,1,16,8,17,1,14,1,15,3,14,3,17,2,16,1,17,1,14,4,17,1,16,4,17,1,14,12,17,1,16,2,14,14,17,1,14,4,16,1,17,1,14,16,3,1,16,3,3,1,14,1,16,2,14,4,3,1,16,4,3,5,16,2,3,1,14,12,3,1,16,2,3,1,14,59,15,2,14,11,15,2,14,4,15,1,18,5,15,6,14,10,15,1,8,4,15,3,18,1,8,13,18,6,8,5,18,5,8,63,18,2,8,18,18,2,8,2,10,6,8,27,10,3,8,18,10,6,8,5,18,1,14,6,18,1,8,12,10,3,8,2,10,11,8,2,10,181,8,1,10,9,4,2,19,6,4,24,10,6,8,8,10,4,8,4,10,96,8,3,10,113,8,2,10,72,8,2,18,1,10,31,8,13,10,3,9,1,18,1,10,48,8,1,10,3,8,2,10,2,8,2,10,8,8,5,10,24,8,1,10,4,8,3,10,6,8,10,10,26,8,8,10,2,8,1,18,2,10,56,8,1,10,90,18,1,4,2,19,14,4,3,19,12,4,9,19,28,4,8,19,4,4,8,19,7,4,3,10,3,8,4,18,1,4,4,19,6,4,448,},
{4,747,18,1,10,1,8,2,10,1,8,4,10,5,8,4,10,3,8,5,10,4,8,3,10,14,8,2,10,13,8,3,10,36,15,1,14,2,15,3,14,5,15,2,14,2,16,7,14,11,15,1,8,3,14,1,16,4,14,7,3,3,16,2,3,1,14,2,15,1,8,4,15,1,14,3,15,1,8,4,10,6,8,1,18,2,8,1,10,3,8,1,18,1,14,2,8,2,10,1,8,4,10,18,18,1,10,5,18,4,10,13,8,2,10,3,18,1,10,2,8,1,10,40,18,1,10,14,8,2,10,1,8,1,18,1,8,1,10,2,8,1,15,1,14,9,17,3,14,2,17,2,14,1,17,1,16,10,14,9,17,1,16,7,17,2,14,7,17,1,16,2,17,1,14,4,17,1,16,4,17,1,14,12,16,4,14,13,17,1,14,16,17,2,3,1,14,3,16,4,14,2,16,2,14,4,3,1,16,3,3,5,16,4,3,2,14,10,3,1,16,3,14,70,15,1,18,3,15,1,14,4,18,5,15,2,14,14,15,1,8,5,15,1,8,14,18,6,8,5,18,7,8,62,18,1,8,19,18,3,8,1,10,7,8,27,10,5,8,16,10,6,8,4,18,2,14,4,18,2,8,11,10,4,8,2,10,11,8,2,10,181,8,1,10,9,4,2,19,6,4,17,19,3,4,4,10,6,8,6,10,6,8,3,10,65,8,3,10,29,8,4,10,86,8,4,10,53,8,3,10,39,8,2,18,1,10,32,8,13,18,2,10,1,18,2,10,48,8,1,10,7,8,2,10,7,8,6,10,29,8,4,10,4,8,10,10,27,8,8,10,2,18,3,10,54,8,6,10,88,4,3,19,14,4,4,19,11,4,8,19,28,4,8,19,3,4,10,19,4,4,5,10,5,8,2,18,1,4,1,19,9,4,448,},
{4,747,10,1,8,3,10,2,8,2,10,6,8,4,10,3,8,4,10,3,8,4,10,39,8,2,10,28,8,1,14,7,16,2,14,2,15,1,14,2,16,6,14,11,15,1,8,3,15,1,14,1,16,4,14,6,3,1,14,1,3,2,16,2,3,1,14,3,15,1,8,1,15,3,14,3,15,2,8,3,10,5,8,2,18,2,10,4,18,1,14,3,18,1,8,4,18,1,8,2,10,16,18,2,10,2,4,1,18,6,10,13,8,2,10,2,18,2,10,58,8,1,18,4,8,1,10,2,8,1,15,1,14,10,17,1,14,3,17,4,16,10,14,7,17,3,16,6,17,2,16,3,17,1,14,5,17,2,14,6,16,5,17,1,14,4,17,4,14,2,17,1,16,5,17,1,14,10,17,2,14,16,17,1,16,1,17,1,3,1,14,1,3,1,16,4,3,1,14,1,16,2,3,1,14,3,3,1,16,3,3,4,16,6,3,2,14,10,16,3,14,50,15,1,14,17,15,3,18,4,14,4,18,6,15,1,14,4,15,2,14,8,15,1,8,4,15,1,8,18,18,4,8,4,18,1,8,1,18,3,8,3,18,7,8,74,18,3,8,2,10,12,8,5,10,4,8,13,10,6,8,15,10,7,8,3,18,5,8,13,10,17,8,2,10,75,8,2,10,4,8,1,10,5,8,1,10,50,18,6,10,37,8,2,10,8,4,2,19,6,4,16,19,5,4,3,10,19,8,2,10,66,8,3,10,27,8,5,10,21,8,4,10,49,8,1,10,12,8,3,10,53,8,3,10,39,8,2,18,2,10,31,8,13,18,2,9,1,18,2,10,48,8,1,10,7,8,2,10,6,8,7,10,29,8,4,10,4,8,10,10,27,8,7,10,3,18,2,8,1,10,56,8,7,10,40,8,1,10,44,18,1,4,3,19,13,4,4,19,11,4,21,19,14,4,13,10,7,4,10,10,7,9,1,4,2,19,8,4,449,},
{4,746,10,1,8,3,10,4,8,1,10,7,8,3,10,4,8,1,10,43,8,6,10,1,8,1,10,27,8,1,15,1,14,6,16,2,14,7,17,1,16,2,14,4,17,1,16,2,14,4,15,1,8,3,15,1,14,2,16,4,14,5,16,1,3,2,14,1,3,4,14,4,15,4,14,4,15,1,8,2,10,5,8,3,18,1,8,1,10,3,8,1,18,1,14,3,18,1,8,4,18,2,8,1,10,15,4,7,18,4,10,18,18,1,10,60,8,1,18,3,8,1,10,2,8,1,15,1,14,14,17,1,16,2,17,1,16,4,17,2,16,4,17,1,14,4,17,2,16,5,17,2,16,8,17,1,14,7,15,1,8,1,15,1,14,2,16,5,17,4,16,6,17,2,16,6,17,1,14,7,17,1,16,3,17,1,14,16,3,1,14,4,17,1,16,7,3,1,14,3,3,1,16,3,3,4,16,6,3,4,14,8,3,1,16,1,3,2,14,47,15,4,14,15,15,4,18,4,14,3,18,3,8,2,18,2,15,1,14,2,15,5,14,7,15,2,8,3,15,1,8,15,18,1,8,1,18,5,8,4,18,1,8,8,18,10,8,40,10,3,8,27,18,3,8,8,10,16,8,12,10,6,8,1,10,1,8,15,10,5,8,21,10,17,8,2,10,74,8,9,10,3,8,1,10,50,18,7,10,7,18,2,10,39,4,2,19,5,4,9,19,12,4,3,10,87,8,1,10,29,8,4,10,21,8,5,10,48,8,2,10,110,8,2,18,1,10,37,8,8,10,3,18,2,10,31,8,1,10,16,8,2,10,6,8,1,10,6,8,9,10,28,8,5,10,2,8,11,10,7,8,1,10,17,8,9,10,3,18,2,8,1,10,58,8,6,10,39,8,1,10,8,8,1,10,36,18,1,4,3,19,13,4,2,19,12,4,26,19,8,4,13,10,10,4,2,10,12,4,4,19,7,4,450,},
{4,746,9,1,8,2,10,13,8,3,10,43,8,12,10,28,8,1,18,1,14,22,16,3,14,2,15,2,8,3,14,5,3,1,16,2,14,6,3,2,14,1,3,6,14,2,15,5,14,3,15,1,8,3,10,3,8,2,18,1,8,2,10,4,8,1,18,1,14,3,8,4,18,2,8,1,10,15,4,9,10,83,8,2,18,1,8,1,10,2,8,1,15,1,14,14,16,3,17,1,14,6,17,1,16,4,14,4,16,7,17,2,16,9,14,7,15,1,8,2,15,1,14,1,16,1,17,1,16,4,17,2,16,16,17,1,14,5,16,6,14,11,17,2,14,9,16,3,17,2,16,2,3,4,16,4,3,10,16,3,3,4,14,6,3,2,14,47,15,6,14,18,15,3,14,4,18,3,8,3,18,2,15,1,18,3,8,2,15,1,14,8,15,1,8,3,15,2,8,13,18,7,8,14,18,10,8,39,10,5,8,26,18,3,8,8,10,16,8,13,10,7,8,7,10,2,8,7,10,4,8,21,10,18,8,2,10,74,8,3,10,2,8,2,10,67,18,4,10,39,4,2,19,5,4,8,19,12,4,4,10,81,18,4,10,32,8,4,10,20,8,6,10,49,8,1,10,110,8,3,10,44,8,1,10,3,18,2,10,31,8,5,10,12,8,2,10,6,8,1,10,6,8,9,10,10,8,3,10,15,8,17,10,8,8,1,10,17,8,8,10,3,8,1,18,2,10,61,8,4,10,48,8,2,10,36,4,5,19,10,4,4,19,6,4,3,19,2,4,26,19,8,4,12,10,8,8,1,10,15,4,4,19,8,4,2,19,9,4,439,},
{4,741,19,4,4,1,9,1,8,1,10,14,8,3,10,21,8,1,10,21,8,11,10,30,8,1,15,1,14,11,15,3,14,6,16,3,14,3,15,1,8,3,15,1,14,6,3,1,16,1,17,1,14,10,17,1,14,1,17,2,14,3,15,2,8,1,15,1,14,2,15,2,8,10,10,4,8,2,18,1,14,2,18,1,8,4,18,1,8,2,10,11,8,2,10,2,4,8,10,13,18,2,10,43,8,4,10,23,8,6,15,2,14,13,16,3,17,1,14,6,17,1,16,5,14,2,17,1,16,18,17,1,14,6,15,1,8,2,15,1,14,3,16,4,17,1,16,17,17,1,14,4,17,1,16,7,17,1,14,9,16,1,17,1,14,10,17,2,14,2,3,1,17,1,3,1,17,1,16,7,3,5,14,2,3,3,16,4,3,2,14,38,15,10,14,4,15,1,14,1,15,11,14,20,18,3,8,5,18,2,8,5,15,1,14,8,15,6,8,14,18,6,8,14,18,10,8,38,10,7,8,1,10,1,8,24,18,1,8,3,18,1,8,1,18,1,8,4,10,13,8,29,10,3,8,6,10,3,8,21,10,19,8,2,10,147,18,2,10,1,18,1,10,1,18,3,10,36,4,2,19,5,4,8,19,12,4,2,18,2,10,80,18,5,10,32,8,3,10,15,8,1,10,5,8,5,10,161,8,3,10,62,8,2,10,17,8,1,10,1,8,3,10,12,8,2,10,13,8,9,10,10,8,2,10,17,8,16,10,26,8,7,10,3,8,1,18,1,8,2,10,61,8,4,10,48,8,1,10,38,4,9,19,3,4,44,19,7,4,12,10,7,8,3,10,4,8,1,10,9,4,2,19,6,4,6,19,9,4,439,},
{4,740,19,6,18,1,10,14,8,4,10,6,8,1,10,12,8,3,10,20,8,12,10,15,9,2,10,13,8,1,15,1,14,4,15,2,14,5,8,2,15,3,14,3,16,3,14,2,15,1,14,1,15,3,14,11,17,1,14,15,15,5,14,2,15,2,8,2,15,6,18,1,8,7,18,4,8,3,18,2,8,1,10,12,8,2,10,3,4,7,10,13,18,2,10,26,8,2,10,15,8,1,18,2,8,2,10,26,8,3,15,2,14,14,17,1,14,3,15,2,14,2,16,7,17,1,16,20,17,1,14,6,15,2,14,4,3,3,16,19,14,5,17,1,16,8,17,1,14,5,17,1,14,1,17,1,16,1,17,1,14,17,16,9,3,3,14,3,3,3,16,5,3,2,14,36,15,1,8,6,15,4,14,4,15,11,8,1,15,3,14,18,18,4,8,11,15,1,14,3,7,1,14,4,15,6,8,13,18,7,8,7,18,1,8,7,18,2,8,45,10,7,8,29,18,6,8,3,10,9,8,32,10,3,8,6,10,3,8,22,10,18,8,3,10,87,8,1,10,58,18,1,10,4,18,3,10,36,4,2,19,5,4,8,19,12,4,2,18,1,10,81,18,5,10,30,8,1,10,25,8,6,10,11,8,1,10,82,8,2,10,11,8,3,10,51,8,2,10,63,8,1,10,19,8,4,10,11,8,2,10,13,8,6,10,7,8,1,10,28,8,11,10,26,8,7,10,3,18,3,8,1,10,63,8,4,10,10,8,2,10,34,8,2,10,39,4,14,10,1,4,40,19,7,4,12,10,6,8,4,10,2,8,2,10,10,4,2,19,5,4,7,19,9,4,439,},
{4,740,19,6,18,1,10,14,8,5,10,3,8,1,10,1,8,1,10,13,8,1,10,19,8,14,10,14,8,1,18,2,9,1,10,12,9,1,8,1,14,3,15,4,14,4,8,2,15,1,14,2,15,1,14,2,16,2,17,1,14,1,8,2,15,1,14,8,3,1,16,1,3,1,14,3,16,4,14,10,15,6,14,4,15,3,14,4,15,1,18,4,8,5,18,3,8,3,18,3,8,1,10,12,8,2,10,3,4,7,10,13,18,1,10,27,8,2,10,15,8,2,18,3,8,1,10,26,8,3,15,1,14,18,15,1,14,2,17,1,16,30,17,1,14,1,17,2,14,8,17,1,16,20,14,5,17,1,16,2,17,3,16,4,14,5,17,1,14,2,16,1,17,1,14,17,16,10,3,2,14,1,3,3,16,8,3,2,14,30,15,2,14,3,15,1,8,7,15,4,14,12,15,2,8,3,15,1,14,17,18,8,8,8,15,1,14,3,7,2,14,3,15,6,8,13,18,7,8,6,18,4,8,53,10,5,8,31,18,6,8,4,10,6,8,12,10,1,8,20,10,3,8,5,10,4,8,22,10,19,8,2,10,43,4,1,10,14,18,2,10,15,18,2,10,76,18,1,10,37,4,4,19,22,4,1,18,2,10,17,8,2,10,63,18,3,10,7,8,2,10,21,8,2,10,26,8,7,10,8,8,2,10,8,8,1,10,59,8,2,10,12,8,3,10,8,8,7,10,36,8,1,10,53,8,1,10,23,8,2,10,19,8,3,10,11,8,2,10,13,8,1,10,12,8,2,10,19,8,3,10,6,8,10,10,9,8,1,10,1,8,1,10,14,8,7,10,2,18,4,10,45,8,1,10,19,8,3,10,10,8,2,10,33,8,3,10,40,4,10,18,1,10,7,18,3,4,33,19,7,4,12,8,1,10,5,8,3,10,3,8,2,10,10,18,1,4,1,19,5,4,7,19,9,4,439,},
{4,740,19,5,4,1,9,1,10,3,8,2,10,8,8,6,10,37,8,6,9,3,8,6,10,14,8,2,18,2,8,1,10,13,8,2,15,1,14,1,15,4,14,4,15,2,14,6,16,2,14,1,15,1,8,2,14,8,3,1,16,2,17,1,14,3,16,4,14,9,15,5,14,7,15,1,14,7,15,1,14,2,15,1,8,9,18,3,8,1,10,4,18,2,10,7,8,3,10,1,4,8,10,40,8,3,10,13,8,3,18,5,10,20,8,1,10,6,8,2,15,1,14,21,16,37,14,4,17,1,16,4,17,2,16,16,14,5,17,2,14,3,17,1,16,4,14,4,17,2,14,22,16,8,3,9,16,5,3,3,14,20,15,1,14,8,15,7,8,6,15,5,14,12,15,2,8,3,15,2,14,14,15,3,18,8,8,6,15,2,14,2,15,12,8,12,18,7,8,8,18,3,8,53,10,4,8,35,18,1,8,7,10,4,8,13,10,2,8,20,10,2,8,5,10,4,8,22,10,3,8,2,10,13,8,4,10,18,4,6,10,8,4,12,10,25,18,5,10,2,18,1,10,113,4,4,19,22,4,1,18,2,10,143,8,7,10,8,8,1,10,66,8,4,18,1,8,1,10,12,8,2,10,7,8,8,10,49,8,2,10,38,8,4,10,13,18,1,10,28,8,2,10,60,8,3,10,7,8,11,10,8,8,4,10,13,8,5,10,3,8,1,18,3,8,1,10,44,8,3,10,110,4,8,18,1,8,1,10,10,4,33,19,6,4,13,8,1,10,5,8,2,10,15,9,1,18,1,4,1,19,5,4,7,19,9,4,439,},
{4,740,19,4,4,2,10,2,8,4,10,6,8,6,10,4,8,1,10,11,8,1,10,19,8,1,10,4,9,1,10,1,18,2,9,1,18,2,10,3,18,2,10,15,8,5,10,14,8,2,15,1,14,3,15,4,14,6,3,2,14,5,15,1,14,9,16,1,17,1,14,4,3,1,16,3,3,1,14,9,15,2,14,21,15,1,8,9,15,2,18,1,8,1,10,14,8,2,10,1,4,8,10,4,18,2,10,31,8,6,10,12,8,2,18,3,8,1,18,3,10,21,8,1,10,5,8,1,15,1,14,20,17,2,16,5,17,1,16,31,17,1,14,1,17,1,16,6,17,3,16,15,17,6,14,3,17,1,16,4,17,3,16,3,17,1,14,24,17,1,16,1,17,2,14,3,17,1,16,2,14,4,3,6,14,32,15,9,18,5,15,7,14,7,15,9,14,12,15,7,18,6,8,5,15,4,18,8,15,2,14,1,15,2,18,1,8,13,18,3,8,59,18,2,8,52,10,3,8,43,10,4,8,23,10,17,8,5,10,16,4,7,10,6,18,1,10,1,4,12,10,25,18,9,10,112,4,4,19,18,4,6,18,1,10,23,8,1,10,21,8,1,10,98,8,5,10,75,8,3,15,2,14,1,8,2,10,10,8,4,10,6,8,7,10,50,8,2,10,38,8,6,10,4,8,2,10,67,8,1,10,37,8,2,10,3,8,8,10,5,8,8,10,4,8,1,10,2,8,2,10,2,8,3,10,5,8,1,18,2,8,2,10,20,8,2,10,20,8,5,10,130,18,1,4,3,19,12,4,35,18,1,10,23,9,1,18,1,4,10,19,8,4,443,},
{4,745,18,1,10,2,8,4,10,5,8,6,10,5,8,2,10,10,8,2,10,13,8,3,10,6,9,1,18,1,10,4,18,2,10,21,8,7,10,12,8,1,15,1,14,4,15,3,14,2,17,1,14,2,3,1,16,2,3,1,14,20,3,3,14,34,15,1,8,9,15,2,8,1,10,18,4,5,18,1,4,1,10,6,18,3,10,29,8,6,10,12,8,1,14,3,18,5,10,1,8,1,18,2,10,17,8,2,10,4,8,1,15,1,14,17,17,2,16,7,17,2,16,7,17,3,16,22,17,1,16,7,17,3,16,20,17,1,14,3,17,1,16,3,17,4,16,3,17,1,14,9,17,1,14,22,17,2,14,6,3,3,14,33,15,6,14,3,15,2,18,5,15,3,14,8,15,4,14,18,15,1,18,1,15,2,14,1,15,9,8,4,15,3,8,8,18,2,15,5,8,74,18,4,8,71,10,1,8,21,10,8,8,4,10,2,8,19,10,16,8,4,10,16,4,7,10,4,18,3,10,1,4,12,10,26,18,7,10,42,18,1,10,65,8,1,10,4,4,4,19,17,4,7,18,1,10,24,8,1,10,4,8,2,10,14,8,2,10,105,8,1,10,71,8,2,15,2,14,2,7,1,8,2,10,9,8,3,10,8,8,2,10,54,8,2,10,8,8,1,10,4,8,1,10,23,8,8,10,3,8,9,10,7,8,3,10,14,8,1,10,34,8,2,10,16,8,3,10,18,8,1,10,5,8,7,10,5,8,9,10,3,8,2,10,1,18,1,8,1,10,1,8,1,10,7,8,1,18,3,8,1,10,20,8,3,10,20,8,1,10,133,8,1,18,1,4,3,19,12,4,18,10,42,9,1,18,2,4,7,19,7,4,445,},
{4,742,18,1,9,2,8,1,10,2,8,4,10,5,8,7,10,31,8,4,10,4,18,4,10,28,8,6,10,12,8,1,14,12,3,4,14,20,3,2,14,34,15,3,8,4,15,1,8,1,15,4,8,2,10,17,8,1,9,1,8,1,18,1,10,10,18,1,10,31,8,5,10,12,8,1,14,3,18,4,8,1,10,2,18,2,10,17,8,1,10,5,8,1,15,1,14,17,17,2,16,8,17,1,16,8,17,1,16,32,17,1,16,6,17,1,16,15,17,3,16,5,17,4,16,1,17,2,14,8,17,2,14,30,3,3,14,33,15,6,14,5,18,6,14,32,15,4,14,1,15,9,8,4,15,3,8,3,18,1,8,6,18,2,15,3,8,74,18,3,8,72,10,1,8,17,10,12,8,5,10,1,8,19,10,36,4,7,10,4,18,3,10,1,4,12,10,147,4,3,19,16,4,2,18,1,4,1,10,157,8,1,10,71,8,3,15,1,7,1,14,1,7,1,8,2,10,7,8,4,10,65,8,2,10,7,8,2,10,4,8,1,10,23,8,8,10,3,8,7,10,9,8,3,10,7,8,2,10,5,8,5,10,1,8,1,10,28,8,2,10,43,8,7,10,5,8,8,10,3,8,2,10,3,8,1,10,8,8,2,18,2,8,2,10,20,8,3,10,40,8,2,10,112,8,1,10,1,4,3,19,12,4,7,18,4,10,4,4,3,10,46,4,5,19,7,4,446,},
{4,742,10,1,8,3,10,2,8,4,10,5,8,6,10,24,8,3,10,3,8,6,10,4,18,1,10,31,8,2,18,3,8,2,10,5,8,2,10,4,8,1,15,1,14,12,3,2,14,56,15,3,14,1,15,1,8,2,15,4,14,2,15,1,8,1,10,17,8,3,10,1,18,1,10,4,8,1,10,38,8,4,10,11,8,1,18,1,14,3,18,4,8,1,10,2,18,2,10,23,8,1,15,1,14,16,17,3,16,8,17,1,16,48,17,1,16,23,17,2,14,1,17,6,14,5,17,4,14,40,3,1,14,22,15,1,14,2,15,4,14,8,15,4,14,34,15,13,8,3,15,3,8,3,18,4,8,4,18,4,8,76,18,1,8,89,10,13,8,5,10,1,8,19,10,36,4,7,10,5,18,2,10,1,4,12,10,148,4,2,19,16,4,2,10,159,8,1,10,71,8,4,15,1,14,1,15,1,8,2,10,5,8,6,10,3,8,3,10,59,8,2,10,7,8,2,10,4,8,1,10,16,8,1,10,5,8,10,10,2,8,5,10,12,8,3,10,5,8,3,10,5,8,6,10,29,8,1,10,5,8,2,10,7,8,2,10,29,8,5,10,6,8,3,10,2,8,2,10,4,8,2,10,12,8,1,18,3,8,2,10,21,8,1,10,39,8,5,10,113,4,3,19,11,4,7,10,58,4,3,19,9,4,446,},
{4,742,10,1,8,3,10,1,8,5,10,6,8,4,10,8,8,2,10,15,8,4,10,2,8,7,10,2,18,1,10,1,18,1,3,1,18,2,10,27,8,1,18,1,14,3,18,2,8,1,10,3,8,4,10,3,8,1,18,1,14,74,15,1,8,2,15,1,14,5,15,1,8,1,10,4,8,2,10,4,8,1,18,1,8,1,10,4,8,3,18,2,10,2,8,3,10,39,8,3,10,10,8,2,18,1,14,2,18,5,8,1,10,1,8,1,10,25,8,1,15,1,14,15,17,4,16,7,17,3,16,19,17,2,16,26,17,2,16,23,17,1,14,4,17,3,14,5,17,1,16,1,17,2,14,7,17,2,14,30,3,2,14,22,15,3,14,14,15,2,14,35,15,12,8,3,15,3,8,3,18,2,15,1,18,1,8,7,18,1,8,75,18,2,8,89,10,14,8,4,10,1,8,19,10,36,4,7,10,8,4,12,10,148,4,5,19,14,4,1,10,135,8,1,10,96,8,4,7,1,8,2,10,5,8,3,7,1,8,4,10,1,8,4,10,59,8,2,10,7,8,2,10,4,8,1,10,16,8,1,10,5,8,18,10,11,8,5,10,2,8,4,10,5,8,3,10,38,8,3,10,6,8,2,10,29,8,5,10,6,8,3,10,8,8,2,10,12,8,1,18,2,8,2,10,61,8,6,10,113,4,4,19,9,4,8,10,1,8,1,10,56,4,2,19,10,4,446,},
{4,742,10,2,8,8,10,18,8,2,10,15,8,4,10,1,8,8,18,1,10,2,18,1,3,1,16,1,3,2,18,1,10,26,8,1,18,1,14,4,15,1,18,2,8,6,10,3,8,2,15,2,14,7,15,1,14,64,15,2,8,1,15,1,14,6,18,1,8,1,10,3,8,1,18,1,8,3,18,4,10,2,8,5,18,2,10,2,8,3,10,26,8,1,10,25,8,2,18,8,8,1,10,6,18,1,10,20,8,2,15,1,14,14,17,5,16,6,17,4,16,18,17,3,16,26,17,1,16,23,17,2,14,3,17,3,14,4,17,2,16,1,17,1,14,8,16,2,17,1,14,29,3,2,14,39,15,3,14,21,15,1,14,5,15,1,14,6,15,3,14,1,15,14,8,2,18,1,15,4,18,1,8,178,10,9,8,25,10,35,4,7,10,8,4,12,10,148,4,9,19,10,4,1,10,134,8,2,10,97,8,6,10,5,8,2,7,1,14,1,7,1,8,8,10,4,8,2,10,27,8,2,10,62,8,3,10,3,8,12,10,13,8,9,10,37,8,2,10,7,8,3,10,6,8,2,10,21,8,3,10,4,8,6,10,7,8,1,10,8,8,2,10,12,8,2,18,2,8,2,10,60,8,7,10,89,8,4,10,20,4,20,10,15,8,2,10,4,8,3,10,35,4,2,19,9,4,447,},
{4,742,10,1,8,9,10,19,8,2,10,14,8,4,10,2,8,6,9,1,18,2,10,1,18,1,16,3,3,1,18,1,10,24,8,4,18,1,14,5,18,2,8,5,10,1,8,4,15,4,14,4,15,3,14,63,15,4,14,6,15,1,8,5,18,8,10,2,18,1,8,4,18,2,10,2,8,3,10,29,8,3,10,19,8,3,18,3,8,2,18,3,8,1,10,6,18,2,10,19,8,2,15,2,14,15,17,4,16,4,17,7,16,17,17,1,16,52,17,2,14,2,17,3,14,4,17,4,14,8,16,2,14,30,3,3,14,37,15,5,14,19,15,2,14,3,15,4,14,5,15,3,14,1,15,4,14,1,15,9,18,3,15,1,14,3,15,1,18,3,8,78,18,3,8,94,10,1,8,1,10,8,8,24,10,37,4,1,18,3,10,10,4,11,10,10,18,2,10,141,4,6,19,8,4,1,10,134,8,2,10,97,8,7,10,4,8,1,7,2,14,2,7,1,8,6,10,5,8,2,10,26,8,3,10,70,8,9,10,15,8,7,10,37,8,3,10,7,8,3,10,20,8,4,10,4,8,5,10,2,8,7,10,15,8,3,10,3,8,2,10,7,8,2,18,2,8,1,10,61,8,7,10,87,8,7,10,22,4,2,18,8,10,22,8,2,10,4,8,3,10,32,4,5,19,8,4,448,},
{4,740,10,3,8,5,10,5,8,9,10,9,8,2,10,13,8,5,10,2,8,6,9,1,18,2,10,1,18,1,3,1,16,2,3,1,18,1,10,23,8,5,15,1,14,6,15,1,8,8,18,1,15,6,14,3,15,2,18,1,15,1,14,36,17,4,14,22,15,6,14,6,18,3,8,2,18,3,3,2,18,1,8,1,10,2,18,1,8,4,18,2,10,1,8,1,18,3,10,29,8,3,10,19,8,8,18,3,8,1,10,6,18,2,10,20,8,3,15,2,14,8,17,1,14,7,17,7,14,3,17,3,16,62,17,2,16,7,17,7,14,3,17,2,14,9,3,1,17,1,14,31,3,1,14,31,15,1,14,6,15,4,14,20,15,1,18,1,15,4,18,2,15,1,14,6,15,1,14,2,15,3,14,4,15,8,18,1,15,2,14,3,15,4,18,1,8,77,18,3,8,9,18,3,8,14,18,1,8,73,10,4,8,25,10,37,18,3,10,10,18,1,4,10,10,11,18,1,10,133,8,2,10,8,18,1,4,6,19,5,4,1,10,12,8,2,10,222,8,10,7,4,8,5,10,5,8,3,10,28,8,1,10,70,8,8,10,16,8,4,10,40,8,3,10,7,8,3,10,14,8,3,10,3,8,5,10,2,8,17,10,13,8,2,10,4,8,2,10,7,8,2,18,1,8,2,10,61,8,7,10,47,8,3,10,37,8,6,10,12,8,3,10,12,9,1,8,3,10,30,8,3,10,31,4,6,19,7,4,449,},
{4,740,10,3,8,3,10,6,8,12,10,7,8,2,10,13,8,5,10,3,8,6,18,2,10,2,3,3,18,1,10,24,8,5,15,2,14,4,15,2,18,1,8,6,18,1,15,7,14,4,15,1,18,2,15,1,14,32,17,2,16,4,17,2,14,13,15,4,14,3,15,4,8,4,15,1,14,6,18,1,8,1,10,1,8,1,18,5,10,3,8,1,18,7,10,1,18,3,8,1,10,50,8,4,10,1,8,2,18,4,8,1,10,29,8,3,18,1,15,1,14,7,17,1,14,9,17,3,14,4,17,4,16,62,17,4,16,5,17,2,14,1,17,6,14,76,15,3,14,5,15,5,14,19,15,1,18,1,15,4,18,2,15,1,14,6,15,1,14,10,15,6,18,3,15,2,14,6,15,1,18,1,8,76,18,3,8,1,18,1,8,6,18,5,8,4,18,4,8,5,18,1,8,10,10,1,8,7,10,4,8,1,10,1,8,50,10,4,8,24,10,36,18,4,10,10,18,1,4,10,10,154,8,1,18,1,4,12,9,1,10,10,8,3,10,223,8,16,10,8,8,1,10,41,8,1,10,59,8,3,10,10,8,2,10,9,8,3,10,40,8,2,10,25,8,3,10,3,8,5,10,2,8,18,10,12,8,2,10,4,8,2,10,7,8,2,18,1,8,2,10,61,8,7,10,48,8,2,10,38,8,4,10,6,8,2,10,5,8,3,10,33,8,1,10,13,8,2,10,31,4,5,19,7,4,450,},
{4,740,10,2,8,3,10,7,8,12,10,19,8,1,10,2,8,5,10,2,8,7,18,1,9,1,10,3,18,2,10,7,18,2,10,16,8,5,15,3,14,1,15,8,18,3,15,7,14,5,18,4,14,31,17,2,16,5,17,3,14,1,17,1,14,10,15,11,8,6,15,1,14,3,18,1,8,1,10,3,8,1,18,3,10,4,8,2,18,5,8,3,18,2,10,4,8,1,10,32,8,1,10,20,8,1,18,1,8,2,10,32,8,2,18,1,15,1,14,23,17,5,16,62,17,3,16,6,17,1,14,2,17,1,16,2,17,3,14,75,15,3,14,6,15,3,14,20,15,6,18,2,15,1,14,17,15,6,18,1,8,1,18,3,15,2,14,5,18,1,8,87,18,5,8,4,18,4,8,5,18,1,8,10,10,1,8,8,10,1,8,2,10,2,8,53,10,1,8,24,10,37,18,2,10,4,18,2,10,6,4,10,10,150,8,1,10,3,8,2,18,1,4,1,18,1,4,8,18,1,10,12,8,1,10,225,8,13,10,77,8,2,10,46,8,2,10,52,8,2,10,25,8,3,10,3,8,5,10,2,8,8,10,1,8,10,10,11,8,2,10,4,8,2,10,6,8,5,10,62,8,8,10,97,8,2,10,4,8,2,18,2,8,1,10,31,8,4,10,11,8,2,10,30,4,4,19,8,4,451,},
{4,740,10,1,8,2,10,8,8,14,10,18,8,18,18,2,10,12,9,1,10,15,8,5,15,6,18,2,15,2,14,3,15,2,18,1,15,5,14,6,15,1,18,4,15,1,14,31,17,1,16,4,17,2,14,3,17,1,14,10,15,7,8,2,15,2,8,6,18,3,8,2,10,14,8,1,18,3,8,6,10,37,8,1,10,6,8,2,10,15,8,1,10,33,8,3,15,1,14,21,17,1,16,2,17,4,16,61,17,1,14,2,17,1,16,4,17,2,14,2,17,1,16,3,17,2,14,75,15,3,14,29,15,2,14,3,15,4,14,17,15,6,8,5,18,2,15,1,14,4,15,1,8,96,18,2,8,75,10,6,8,4,10,1,8,24,10,43,18,3,10,56,18,1,10,14,8,1,10,92,8,3,10,255,8,5,10,84,8,2,10,24,8,6,10,69,8,2,10,33,8,3,10,4,8,6,10,4,8,8,10,10,8,3,10,4,8,2,10,5,8,3,18,1,8,2,10,62,8,8,10,97,8,2,10,4,8,2,18,2,8,1,10,31,8,3,10,5,8,1,10,6,8,1,10,29,4,4,19,7,4,454,},
{4,740,9,1,8,3,10,7,8,13,10,21,8,16,10,1,18,4,10,3,18,3,10,18,8,5,15,5,18,1,8,3,15,1,14,5,15,5,14,7,15,2,18,5,15,1,14,13,17,1,16,1,17,1,14,15,17,4,14,15,15,8,8,3,15,1,8,9,10,16,8,1,18,3,8,2,10,1,8,3,10,44,8,3,10,49,8,2,15,1,14,21,17,1,16,3,17,4,16,42,17,1,16,17,17,1,14,2,17,2,16,3,17,2,14,3,17,1,16,2,17,2,14,75,15,3,14,24,15,5,14,6,15,2,14,18,15,6,8,6,18,1,15,1,14,4,15,1,8,173,10,6,8,3,10,2,8,24,10,43,18,3,10,55,18,2,10,108,8,2,10,257,8,2,10,85,8,2,10,23,8,8,10,7,8,1,10,60,8,1,10,41,8,6,10,5,8,8,10,9,8,3,10,10,8,3,18,2,8,2,10,37,8,1,10,25,8,7,10,97,8,2,10,4,8,2,18,3,8,1,10,2,8,2,10,27,8,1,10,6,8,1,10,35,4,3,19,9,4,454,},
{4,740,9,1,8,7,10,3,8,1,10,3,8,8,10,23,8,6,10,1,8,9,10,7,18,4,10,15,8,5,15,8,8,2,15,2,14,5,15,5,14,6,15,2,8,1,18,6,15,1,14,12,16,3,14,34,15,8,8,3,15,1,8,3,15,2,8,3,10,18,18,1,8,1,18,1,8,1,10,4,8,1,10,44,8,3,10,23,18,2,10,10,18,2,10,13,8,1,18,1,15,1,14,19,17,1,16,5,17,3,16,42,17,1,16,17,17,1,14,3,17,5,14,4,17,5,14,76,15,1,14,25,15,3,18,1,15,2,14,3,15,1,14,21,15,6,8,6,18,2,15,1,14,3,15,1,8,173,10,5,8,4,10,2,8,23,10,44,18,3,10,54,18,2,10,109,8,2,10,327,8,4,10,14,8,1,10,23,8,8,10,6,8,3,10,83,8,2,10,16,8,6,10,6,8,7,10,8,8,3,10,11,8,2,18,2,8,3,10,37,8,1,10,26,8,6,10,104,8,1,18,3,8,4,10,18,8,1,10,52,4,2,19,9,4,455,},
{4,740,9,1,8,7,10,2,8,2,10,7,8,3,10,24,8,4,10,4,8,8,18,2,10,5,18,4,10,14,8,5,15,1,14,6,15,3,8,1,15,2,14,5,15,4,14,7,15,1,8,2,18,7,15,1,14,10,3,2,16,3,17,1,16,7,14,23,15,9,8,4,15,1,8,2,15,1,14,2,15,1,8,2,10,17,8,1,18,3,8,1,10,18,18,2,10,30,8,2,9,1,10,11,18,2,10,10,18,1,10,10,18,2,10,7,8,3,10,3,8,1,18,1,15,1,14,18,17,2,16,11,17,2,16,10,17,1,16,25,17,1,14,1,17,1,16,11,17,2,16,2,17,2,14,4,17,3,14,6,17,4,14,11,17,2,14,76,15,2,14,11,15,3,18,2,15,1,14,1,15,3,14,5,15,2,14,15,15,10,18,2,15,1,18,1,15,3,18,1,8,94,10,6,8,82,10,2,8,6,10,1,8,16,10,43,18,3,10,17,18,4,10,34,18,2,10,238,8,4,10,34,8,4,10,5,8,3,10,150,8,4,10,7,8,1,10,5,8,2,10,23,8,7,10,7,8,4,10,66,8,2,10,14,8,2,10,5,8,2,10,9,8,6,10,3,8,1,10,4,8,5,10,8,8,3,10,11,8,1,18,3,8,2,10,66,8,4,10,100,8,2,10,4,8,2,18,1,8,3,10,72,4,2,19,7,4,457,},
{4,740,10,1,8,8,10,1,8,2,10,36,8,2,10,4,8,6,10,2,8,1,18,2,10,1,18,4,10,17,8,5,14,7,15,5,14,7,15,2,14,5,15,4,8,2,18,4,8,1,18,2,15,1,14,5,15,1,14,5,3,3,16,10,14,22,15,5,8,7,15,1,8,3,15,1,14,2,15,1,8,3,10,16,8,2,18,3,8,1,10,2,8,1,10,1,8,1,10,11,18,3,10,44,18,2,10,29,8,4,10,3,8,1,18,1,14,19,17,1,16,4,17,1,16,7,17,3,16,4,17,1,16,2,17,3,16,25,17,1,14,1,17,2,16,11,17,1,14,8,17,3,14,8,17,2,14,9,3,1,14,21,3,1,14,42,15,1,14,13,15,3,14,13,15,1,18,1,15,3,18,2,15,1,14,5,15,3,14,4,15,3,14,8,15,2,14,6,15,4,18,5,8,23,18,3,8,55,18,1,8,6,18,3,8,3,10,3,8,1,10,2,8,14,18,1,8,67,10,3,8,5,10,2,8,14,10,42,18,4,10,17,18,5,10,5,18,3,10,144,8,2,10,63,8,2,10,46,8,2,10,6,8,5,10,34,8,4,10,5,8,3,10,131,8,1,10,18,8,4,10,7,8,2,10,4,8,2,10,23,8,5,10,19,8,2,10,40,8,1,10,16,8,3,10,14,8,3,10,4,8,3,10,2,8,2,10,3,8,21,10,7,8,2,10,12,8,2,18,1,8,3,10,67,8,2,10,81,8,1,10,18,8,5,10,3,8,4,10,16,8,3,10,11,8,2,10,40,4,3,19,6,4,458,},
{4,740,9,1,8,8,10,1,8,1,10,26,8,4,10,14,8,5,10,1,8,1,18,3,10,1,18,3,10,18,8,4,15,1,14,26,15,1,18,2,15,2,18,10,15,2,14,10,3,1,16,12,17,2,14,17,15,4,8,8,15,2,8,3,15,1,14,3,15,1,18,2,8,1,10,11,8,1,10,2,8,13,10,11,18,2,10,29,8,4,10,11,18,2,10,30,8,8,18,1,14,16,17,2,16,3,17,3,16,8,17,1,16,4,17,4,14,4,16,25,17,1,16,13,17,1,14,4,17,3,14,22,17,1,16,1,14,21,3,3,14,41,15,3,14,10,15,3,14,13,15,10,14,1,15,5,14,3,15,4,14,17,15,2,18,1,8,2,18,4,8,20,18,5,8,63,18,2,8,3,10,3,8,1,10,1,8,91,10,1,8,15,10,42,18,1,10,2,18,1,10,18,18,4,10,152,8,3,10,62,8,2,10,54,18,3,8,2,10,34,8,4,10,6,8,2,10,129,8,2,10,19,8,4,10,7,8,2,10,4,8,2,10,23,8,4,10,20,8,2,10,40,8,1,10,1,8,1,10,14,8,4,10,12,8,4,10,4,8,3,10,8,8,17,10,10,8,2,10,12,8,2,18,1,8,2,10,150,8,2,10,18,8,2,18,1,8,2,10,4,8,2,10,17,8,3,10,14,8,1,10,37,4,4,19,6,4,458,},
{4,740,10,3,8,8,10,25,8,4,10,6,8,2,10,7,8,6,18,2,10,1,18,1,10,1,18,1,9,1,10,18,8,6,15,1,14,3,15,2,14,2,15,1,14,12,15,3,14,2,15,1,18,1,8,2,15,1,14,2,18,1,8,1,18,1,14,2,18,1,8,1,18,1,15,2,14,3,15,3,14,4,17,1,16,8,17,1,16,5,17,1,14,19,15,2,8,5,15,4,8,1,15,3,14,6,18,2,8,1,10,7,18,2,8,1,10,2,8,2,10,4,8,2,10,2,8,2,10,13,18,2,10,27,8,1,18,4,9,1,10,4,9,1,18,1,9,1,10,3,18,2,10,30,8,1,18,1,8,3,18,1,8,2,18,1,14,15,17,1,16,5,17,3,16,13,17,3,14,6,17,1,16,36,17,4,14,1,17,1,16,3,17,1,14,10,15,1,14,7,17,1,16,4,14,22,3,3,14,35,15,2,14,3,15,4,14,2,15,3,14,26,15,2,18,4,15,1,14,5,15,1,18,2,15,2,14,12,15,2,14,4,15,1,8,3,18,1,15,1,18,1,15,1,8,5,18,2,8,11,18,1,7,1,18,1,8,5,18,5,8,43,18,3,8,12,18,1,8,9,18,2,8,71,10,6,8,27,10,65,18,3,10,30,8,3,10,239,8,1,18,4,8,1,10,14,8,1,10,19,8,4,10,72,8,3,10,55,8,3,10,3,8,2,10,20,8,2,10,9,8,2,10,26,8,2,10,4,8,4,10,5,8,6,10,31,8,2,10,15,8,4,10,14,8,3,10,12,8,4,10,4,8,3,10,8,8,9,10,4,8,4,10,9,8,3,10,8,8,1,10,4,8,1,18,1,8,2,10,30,8,2,10,41,8,2,10,76,8,1,10,19,8,4,10,24,8,1,10,15,8,2,10,36,4,2,19,7,4,459,},
{4,740,10,3,8,7,10,15,8,2,10,8,8,4,10,6,8,3,10,8,8,4,10,6,18,2,10,18,8,7,15,1,14,2,15,2,14,2,15,1,14,9,3,1,14,2,8,2,15,1,14,2,15,1,18,1,8,1,15,1,14,3,15,1,8,1,18,1,14,2,8,5,14,3,15,1,8,2,15,1,14,4,17,5,16,1,17,2,14,1,17,1,16,5,17,1,14,13,15,2,14,4,15,1,8,4,15,4,8,1,15,6,14,5,18,1,8,1,10,7,18,2,8,1,10,2,8,1,10,10,8,1,10,14,18,1,10,27,18,1,14,1,3,1,14,1,18,1,8,1,10,3,9,1,18,2,9,1,10,2,18,3,10,31,8,3,18,2,8,3,15,1,14,2,15,1,14,5,17,6,16,5,17,4,16,16,17,2,14,5,17,1,16,31,17,1,14,1,17,1,16,1,17,2,14,3,17,1,16,3,17,1,14,4,17,1,14,5,15,3,14,5,17,1,16,4,14,22,3,1,16,1,3,1,14,35,15,2,14,3,15,10,14,26,15,1,18,1,8,2,18,1,15,1,14,4,15,1,18,1,8,1,18,1,15,2,14,1,15,5,14,6,15,2,14,4,15,1,8,3,18,1,15,1,18,2,8,4,18,3,8,11,18,1,7,1,8,6,18,5,8,29,18,1,8,13,18,4,8,18,18,4,8,73,10,5,8,26,10,43,4,5,18,5,4,1,10,13,18,1,10,15,8,1,10,14,8,2,18,1,8,1,10,239,8,1,18,3,10,12,8,1,10,1,8,3,10,4,8,2,10,13,8,3,10,54,8,2,10,17,8,3,10,55,8,2,10,4,8,2,10,28,8,3,10,28,8,3,10,3,8,5,10,3,8,7,10,25,8,1,10,5,8,2,10,34,8,4,10,9,8,5,10,3,8,3,10,10,8,7,10,5,8,4,10,8,8,3,10,14,8,4,10,28,8,5,10,40,8,2,10,96,8,4,10,41,8,1,10,35,4,3,19,7,4,459,},
{4,739,10,4,8,6,10,7,8,11,10,9,8,3,10,5,8,4,10,8,8,3,10,1,8,1,18,2,10,3,18,2,10,2,18,1,10,15,8,2,18,2,8,3,15,1,14,3,15,2,14,14,15,2,14,3,15,1,18,1,8,1,15,1,14,4,18,1,15,1,14,2,8,2,10,2,8,1,14,3,15,4,14,10,17,4,16,5,17,1,14,13,15,1,14,5,15,2,8,2,15,2,14,1,15,2,8,2,15,6,14,4,18,1,8,1,10,8,8,1,10,56,8,1,14,1,3,2,14,1,18,1,8,2,10,2,9,1,18,1,9,1,10,3,18,3,10,31,8,1,10,1,8,6,15,1,14,5,3,1,14,1,17,8,16,1,17,8,16,17,17,1,14,4,17,1,16,28,17,1,16,2,17,1,14,1,17,1,16,1,17,1,14,5,17,3,14,5,17,2,14,15,3,1,17,1,14,22,3,3,14,36,15,1,14,3,15,10,14,23,15,3,18,5,15,1,14,4,15,2,18,1,15,10,14,5,15,2,14,3,15,3,8,3,18,2,8,4,18,3,8,53,18,2,8,35,18,1,8,78,10,2,8,18,10,6,8,3,10,36,4,20,10,41,8,2,18,1,8,1,18,1,10,225,8,1,10,13,8,1,18,2,10,17,8,1,10,159,8,2,10,27,8,4,10,28,8,3,10,2,8,7,10,1,8,8,10,25,8,1,10,42,8,2,10,9,8,7,10,14,8,4,10,9,8,4,10,5,8,3,10,9,8,2,10,6,8,3,10,30,8,4,10,40,8,2,10,56,8,2,10,38,8,4,10,75,4,4,19,7,4,460,},
{4,738,10,6,8,4,10,9,8,8,10,11,8,2,10,6,8,5,10,1,8,4,10,2,8,2,10,2,8,1,18,1,10,4,18,2,10,2,18,2,10,14,8,1,15,3,8,3,15,1,14,4,15,2,14,13,15,2,14,3,15,1,8,2,15,1,14,3,15,1,14,3,18,2,8,1,10,2,8,1,14,1,15,6,14,11,16,4,17,1,16,1,17,4,14,18,15,5,14,2,15,2,8,2,15,3,18,1,8,1,18,3,14,1,18,2,8,1,10,19,8,3,10,28,18,1,10,14,8,1,14,1,3,1,14,1,18,2,8,3,10,7,18,3,10,34,8,5,18,1,15,1,14,4,3,1,14,4,17,13,16,20,17,4,16,27,17,2,16,2,14,2,17,2,14,14,17,2,14,2,3,1,14,36,3,2,14,30,3,3,14,10,15,6,14,23,15,1,18,7,15,1,14,6,15,9,18,1,15,3,14,9,15,4,18,4,8,5,18,2,8,53,18,3,8,35,18,1,8,97,10,46,4,6,19,6,4,8,10,4,18,2,10,10,18,2,10,23,8,2,18,1,8,1,18,1,10,65,8,1,10,159,8,1,10,13,8,2,10,100,8,3,10,86,8,1,10,17,8,5,10,27,8,17,10,29,8,7,10,9,8,1,10,26,8,4,10,6,8,10,10,10,8,4,10,12,8,2,10,6,8,3,10,4,8,1,10,3,8,3,10,6,8,2,10,34,8,1,10,30,8,1,10,66,8,3,10,39,8,2,10,36,8,4,10,35,4,3,19,9,4,460,},
{4,737,18,1,10,6,8,3,10,10,8,7,10,12,8,2,10,6,8,4,10,2,8,4,10,2,8,2,10,3,18,1,10,4,18,1,10,4,18,2,10,13,8,1,14,3,15,1,8,1,15,2,14,4,15,2,14,13,15,2,14,3,15,1,8,2,15,1,14,2,15,1,18,1,14,3,15,1,14,1,8,1,10,2,8,1,14,1,15,1,8,1,15,5,14,9,17,1,16,4,17,7,14,17,15,4,14,3,15,1,8,3,18,3,8,3,18,5,8,2,10,18,8,3,10,27,18,3,10,3,8,1,10,9,18,1,3,2,14,1,18,2,8,1,18,1,8,1,10,5,9,1,18,3,10,25,8,2,10,7,8,7,15,1,14,10,17,8,16,30,17,3,16,22,17,1,14,1,17,2,14,2,17,2,14,17,17,1,16,2,17,1,14,34,3,2,14,29,3,4,14,11,15,4,14,24,15,1,18,6,15,1,14,6,15,10,18,1,8,1,15,3,14,8,15,8,8,4,18,2,8,80,18,4,8,10,10,3,8,43,10,1,8,49,10,9,8,2,10,35,4,5,19,13,4,2,10,3,18,3,10,10,18,3,10,23,8,2,18,1,10,226,8,1,10,113,8,5,10,85,8,3,10,15,8,8,10,26,8,15,10,28,8,10,10,6,8,3,10,25,8,7,10,4,8,10,10,10,8,4,10,12,8,2,10,6,8,3,10,8,8,3,10,1,8,2,10,1,8,2,10,36,8,3,10,27,8,2,10,66,8,3,10,77,8,5,10,34,4,1,19,10,4,461,},
{4,738,10,6,8,2,10,4,8,1,10,9,8,2,10,14,8,3,10,5,8,4,10,1,8,10,10,1,18,4,10,2,18,1,10,5,18,1,10,13,18,1,14,3,15,4,14,14,15,2,14,3,15,1,14,4,15,1,8,2,15,1,14,2,8,2,15,1,14,4,8,1,10,2,8,1,14,1,15,1,8,2,18,1,15,3,14,4,17,5,16,5,17,6,14,18,15,1,14,6,15,2,8,2,18,1,8,6,18,3,8,4,10,3,8,2,10,12,8,2,10,28,18,3,10,12,8,1,14,1,3,2,14,1,8,3,18,1,8,1,10,5,18,4,10,25,8,2,10,7,8,7,18,1,14,1,15,1,14,8,17,5,16,33,17,3,16,12,17,3,16,7,17,1,14,5,17,2,14,17,17,1,16,3,17,2,14,63,3,2,14,13,15,3,14,13,15,5,14,7,15,1,18,1,8,4,18,1,15,1,14,5,15,3,14,1,15,7,18,1,8,1,15,3,14,8,15,2,14,4,15,2,8,4,18,2,8,76,18,1,8,3,18,4,8,8,10,7,8,40,10,3,8,48,10,8,8,4,10,33,4,5,19,14,4,3,10,2,18,1,9,1,18,1,10,10,18,2,10,26,8,2,10,45,8,1,10,104,8,1,10,178,8,3,10,7,8,5,10,11,8,1,10,74,8,2,10,14,8,2,10,1,8,7,10,6,8,3,10,17,8,4,10,3,8,6,10,29,8,16,10,27,8,8,10,4,8,4,10,3,8,4,10,9,8,4,10,21,8,2,10,7,8,3,10,2,8,2,10,1,18,1,8,1,10,36,8,3,10,94,8,1,18,1,8,2,10,70,8,4,10,2,8,6,10,33,4,2,19,10,4,461,},
{4,733,19,3,4,2,10,6,8,2,10,3,8,3,10,24,8,4,10,3,8,4,10,2,8,11,18,7,10,5,18,1,10,12,8,1,15,1,14,4,15,3,14,14,15,2,14,8,15,4,14,2,15,1,8,2,15,1,14,3,8,3,15,9,14,4,16,4,17,1,16,5,17,4,14,19,15,2,14,6,15,2,8,2,18,1,8,12,10,5,8,1,10,9,8,1,10,33,18,2,10,12,8,1,14,1,3,2,18,1,8,1,10,1,8,1,18,2,8,1,10,4,9,1,18,3,10,26,8,1,10,7,8,1,10,1,8,5,18,1,14,10,17,2,16,23,17,1,14,1,17,1,16,11,17,1,16,12,17,4,16,7,17,1,14,5,17,1,14,18,17,5,14,7,15,5,14,67,15,3,14,11,15,8,14,6,15,1,18,1,8,4,18,1,14,6,15,2,14,2,15,3,14,1,15,3,18,1,15,4,14,8,15,2,14,4,15,1,18,1,8,4,18,2,8,5,18,1,8,23,10,1,8,46,18,1,8,3,18,4,8,2,10,15,8,39,10,2,8,48,10,7,8,6,10,31,4,6,19,14,4,4,10,1,18,1,9,1,18,4,10,29,8,2,10,39,18,3,10,293,8,4,10,6,8,4,10,12,8,1,10,42,8,2,10,9,8,1,10,20,8,2,10,13,8,3,10,3,8,5,10,7,8,1,10,9,8,1,10,8,8,4,10,3,8,6,10,32,8,12,10,28,8,8,10,5,8,2,10,5,8,5,10,8,8,2,10,24,8,3,10,4,8,1,10,4,8,1,10,1,8,1,18,1,8,1,10,133,8,4,10,69,8,3,18,1,8,3,10,2,8,4,10,33,4,2,19,9,4,462,},
{4,732,19,5,4,1,10,4,8,4,10,1,8,6,10,23,8,9,10,4,8,9,18,2,8,1,18,2,10,1,18,3,10,2,18,1,10,15,8,1,15,1,14,4,15,1,8,1,15,1,14,31,15,1,8,1,15,1,14,2,15,6,14,10,3,1,16,4,17,2,16,5,17,1,14,21,15,2,14,5,15,3,8,2,18,1,8,12,10,8,8,1,10,6,8,2,10,3,8,1,10,42,8,1,14,1,3,2,18,1,10,2,8,1,18,3,8,2,10,3,18,3,10,37,8,4,18,1,14,10,17,5,16,20,17,3,16,26,17,2,16,7,17,1,14,24,17,1,14,13,15,3,14,56,15,2,14,9,15,4,14,4,15,3,14,2,15,9,14,6,15,1,18,1,8,4,18,1,14,6,15,1,14,7,15,9,14,6,15,4,14,3,15,1,18,1,8,4,18,1,8,6,18,2,8,12,10,1,8,8,10,3,8,45,18,1,8,4,18,3,8,1,10,17,8,38,10,1,8,51,10,4,8,7,10,31,4,6,19,14,4,4,10,1,18,1,10,2,18,2,10,1,18,2,10,6,8,1,10,10,8,1,10,1,8,1,10,6,8,3,10,39,18,3,10,106,8,1,10,63,18,2,10,121,8,4,10,64,8,3,10,45,8,3,10,4,8,5,10,14,8,6,10,5,8,4,10,3,8,6,10,32,8,4,10,3,8,4,10,23,8,1,10,6,8,8,10,12,8,5,10,33,8,3,10,2,8,3,10,2,8,3,10,1,8,1,18,1,10,134,8,4,10,69,8,2,18,3,8,2,10,4,8,2,10,32,4,2,19,10,4,462,},
{4,732,19,4,4,2,10,3,8,14,10,21,8,8,10,5,8,5,18,1,8,1,10,2,18,2,8,4,9,1,18,2,10,1,18,2,9,1,10,13,8,2,15,1,14,4,15,1,8,2,14,9,17,1,14,22,15,2,14,2,15,2,14,2,15,1,14,12,16,3,17,1,14,3,17,1,16,3,17,1,14,21,15,2,14,4,15,4,18,1,8,1,18,1,8,9,10,11,8,3,10,2,8,1,10,1,8,2,10,2,8,2,10,42,8,1,14,1,3,2,18,1,10,2,8,1,15,1,14,2,18,2,8,2,10,1,18,3,10,38,8,3,15,1,14,3,3,1,17,1,14,5,17,6,16,3,17,1,16,22,17,3,16,27,17,2,14,10,15,1,14,2,15,2,14,9,17,1,3,1,14,70,15,4,14,8,15,4,14,3,15,4,14,2,15,9,14,7,18,1,8,3,18,2,14,5,15,1,14,5,15,12,14,6,15,4,14,2,15,2,8,12,18,2,8,20,10,4,8,50,18,2,8,2,10,7,8,2,10,9,8,100,10,31,4,6,19,14,4,4,18,9,10,16,8,4,10,5,8,2,18,1,8,2,10,138,8,11,10,16,8,4,10,42,18,2,10,122,8,2,10,66,8,2,10,5,8,3,10,37,8,3,10,7,8,5,10,11,8,6,10,4,8,6,10,1,8,7,10,33,8,2,10,5,8,3,10,31,8,6,10,14,8,4,10,33,8,3,10,2,8,2,10,2,8,3,10,2,8,2,10,134,18,1,8,1,18,1,8,1,10,69,8,1,18,4,8,2,10,38,4,2,19,8,4,464,},
{4,732,19,5,4,1,10,1,8,16,10,14,8,2,10,5,8,5,10,10,8,1,18,3,10,3,18,1,8,7,10,3,18,1,10,13,8,2,15,2,14,4,15,1,8,2,14,8,17,1,16,1,14,8,15,2,14,12,15,2,14,2,15,2,14,8,3,1,14,6,16,3,17,1,14,4,17,1,16,2,17,1,14,21,15,1,14,6,15,1,14,1,15,1,18,1,8,10,10,13,8,2,10,3,8,7,10,4,8,2,10,35,8,1,18,1,14,1,3,2,18,1,8,2,18,1,14,1,3,2,14,2,18,2,10,2,18,1,10,40,8,2,15,1,14,2,3,1,16,2,17,3,14,7,17,6,16,20,17,5,16,21,17,2,16,3,17,2,14,9,15,7,14,8,17,1,14,30,17,1,14,40,15,4,14,8,15,12,14,1,15,7,14,9,18,2,8,2,18,2,15,1,14,3,15,3,14,3,15,15,14,4,15,4,14,2,15,2,8,11,18,3,8,20,10,3,8,50,18,3,8,2,10,19,8,99,10,31,4,24,18,2,10,23,8,5,10,4,8,4,10,31,18,1,10,107,8,12,10,1,8,1,10,14,8,2,10,43,18,2,10,190,8,1,10,5,8,4,10,38,8,3,10,7,8,5,10,9,8,8,10,3,8,14,10,39,8,4,10,38,8,2,10,11,8,4,10,33,8,3,10,1,8,3,10,3,8,1,10,2,8,2,10,3,8,2,10,130,18,1,8,3,10,36,8,4,10,28,8,2,18,3,8,2,10,39,4,2,19,7,4,465,},
{4,732,19,4,4,2,9,1,8,7,10,1,8,9,10,13,8,2,10,6,8,4,10,3,8,1,18,3,8,1,10,3,8,3,10,4,8,7,10,16,9,1,8,1,18,1,15,2,14,4,15,1,8,2,14,9,16,1,14,8,15,2,14,13,15,1,14,12,3,2,14,5,17,3,14,5,17,1,16,2,17,1,14,30,15,1,8,11,10,19,8,3,10,1,8,1,10,5,8,2,10,35,8,1,18,1,14,1,3,2,14,1,8,2,18,1,14,1,3,2,14,2,18,2,8,1,10,42,8,2,15,1,14,2,3,2,16,1,17,3,14,9,17,4,16,20,17,5,16,21,17,2,16,2,17,2,16,1,17,1,14,8,15,7,14,39,17,1,14,40,15,4,14,8,15,12,14,16,15,1,18,6,15,1,14,2,15,4,14,3,15,15,14,4,15,5,14,2,15,2,8,10,18,3,8,73,18,3,8,2,10,21,8,97,10,31,4,24,18,2,10,26,8,2,10,38,18,2,10,108,8,15,10,63,8,1,10,191,8,4,10,39,8,3,10,7,8,4,10,9,8,8,10,2,8,15,10,38,8,5,10,37,8,3,10,12,8,3,10,38,8,2,10,6,8,2,10,3,8,2,10,130,18,2,8,1,10,33,8,8,10,28,8,6,10,38,8,1,9,1,10,1,4,473,},
{4,732,19,4,4,2,9,1,8,3,10,5,8,8,10,14,8,2,10,6,8,3,10,4,18,2,3,1,18,2,8,1,10,3,8,2,18,1,10,3,8,5,10,1,8,1,10,16,8,1,18,1,15,1,14,6,15,3,14,18,15,3,14,7,15,1,14,13,15,2,14,2,3,2,14,6,17,2,14,5,17,1,16,2,17,1,14,30,15,1,18,1,8,10,10,19,8,2,10,8,8,2,10,35,8,1,15,1,14,4,18,2,15,1,14,1,3,3,14,1,18,3,10,20,18,1,10,14,8,3,10,4,8,1,18,1,15,1,14,2,3,1,14,13,17,5,16,21,17,4,16,21,17,2,16,2,17,2,16,2,14,5,15,8,14,76,15,1,14,17,15,5,14,1,15,5,14,17,15,1,18,4,15,6,18,1,15,2,14,3,15,1,18,2,15,12,14,6,15,3,14,2,15,5,8,7,18,3,8,73,18,3,8,2,10,13,8,2,10,7,8,81,10,1,8,5,10,5,8,1,10,14,8,1,10,8,8,1,10,10,4,24,18,1,9,1,10,26,8,2,10,38,18,2,10,36,18,1,10,71,8,15,10,63,8,2,10,25,8,1,10,164,8,3,10,41,8,3,10,19,8,8,10,2,8,15,10,33,8,2,10,2,8,7,10,36,8,3,10,4,8,3,10,5,8,2,10,46,8,2,10,4,8,2,10,130,18,2,10,33,8,8,10,29,8,3,10,40,8,3,18,1,4,473,},
{4,737,18,1,8,3,10,6,8,4,10,18,8,2,10,6,8,3,10,2,8,1,10,1,18,1,3,2,18,3,10,5,18,1,10,2,18,1,10,1,8,4,10,1,8,1,10,16,8,1,15,2,14,7,15,1,14,4,15,1,14,13,15,5,14,1,15,5,8,1,15,1,14,12,15,3,14,14,17,2,16,3,17,1,14,30,15,1,18,1,8,10,10,18,8,1,10,47,8,1,15,1,14,5,15,2,14,1,3,2,14,2,18,3,8,1,10,1,18,1,10,21,8,1,10,7,9,2,8,1,18,3,8,1,10,3,8,1,18,1,15,1,14,16,17,3,16,48,17,4,14,1,17,1,16,2,14,4,15,8,14,77,15,1,14,19,15,1,14,25,15,1,18,3,15,4,18,5,15,2,14,1,15,2,18,3,15,3,14,1,15,8,14,7,15,1,14,4,15,3,18,1,8,5,18,3,8,74,18,3,8,2,10,12,8,3,10,7,8,81,10,1,8,4,10,21,8,2,10,7,8,1,10,10,4,24,18,1,10,4,8,1,10,172,8,14,10,28,8,2,10,34,8,3,10,24,8,1,10,7,8,2,10,156,8,1,10,44,8,4,10,8,8,2,10,6,8,23,10,1,8,1,10,32,8,12,10,35,8,3,10,5,8,3,10,51,8,4,10,4,8,1,10,130,18,2,8,1,10,16,8,2,10,13,8,10,10,17,8,6,10,49,8,3,4,474,},
{4,737,18,1,8,2,10,7,8,3,10,20,8,2,10,6,8,5,10,1,18,1,3,2,18,2,10,11,8,4,10,1,8,1,10,16,8,1,15,2,14,11,15,3,14,12,15,2,8,1,15,8,8,2,15,1,14,11,15,2,14,9,17,3,14,3,17,2,16,2,17,2,14,30,15,1,8,12,10,26,8,1,10,30,8,1,18,2,8,1,10,4,18,1,14,6,15,1,18,2,14,1,3,1,14,1,18,7,10,21,18,2,10,7,9,1,8,1,18,4,8,1,10,2,8,1,15,1,18,1,15,1,14,9,15,2,14,3,17,1,16,51,17,3,14,3,16,2,14,3,15,1,8,8,15,1,14,2,15,3,14,47,15,1,14,32,15,3,14,34,15,1,18,3,15,1,14,1,15,1,18,2,8,3,18,1,15,7,18,1,15,11,14,1,15,2,14,4,15,5,14,4,8,4,18,5,8,75,18,2,8,3,10,12,8,1,10,9,8,79,10,3,8,3,10,21,8,2,10,7,8,1,10,10,4,24,18,1,10,7,8,1,10,12,8,1,10,157,8,4,9,9,10,6,4,2,10,11,9,10,8,1,10,1,9,1,10,2,9,1,10,2,9,1,10,27,8,2,10,24,8,1,10,211,8,4,10,7,8,2,10,6,8,4,10,1,8,8,10,2,8,6,10,3,8,1,10,32,8,12,10,35,8,2,10,58,8,5,10,135,18,2,8,1,10,16,8,4,10,11,8,11,10,14,8,10,10,48,9,2,18,1,4,474,},
{4,737,10,1,9,1,10,6,8,5,10,20,8,3,10,4,8,6,10,1,18,4,10,6,8,1,10,5,8,6,10,16,8,1,15,2,14,10,15,5,14,11,15,1,8,2,15,1,14,1,15,4,14,2,15,4,14,6,15,2,14,2,15,2,14,9,17,3,14,5,17,1,16,1,17,1,14,28,15,2,14,1,15,1,8,8,18,1,8,3,10,24,8,3,10,29,8,1,18,1,14,2,18,1,10,4,8,1,14,6,15,1,18,3,14,2,18,5,10,1,18,1,10,3,8,1,10,17,18,2,10,9,18,4,8,1,10,2,18,1,15,1,18,1,15,1,14,9,15,2,14,3,17,1,16,6,17,4,16,40,17,2,14,5,17,1,16,1,14,3,8,10,15,3,8,2,15,1,14,45,15,3,14,31,15,3,14,4,15,1,14,5,15,2,14,7,15,7,14,8,15,1,18,1,8,1,18,1,15,1,14,1,15,1,18,2,8,3,18,2,15,1,18,2,15,7,14,2,15,5,14,2,15,3,14,2,15,2,8,3,15,2,14,1,15,2,8,4,18,5,8,75,18,3,8,3,10,22,8,22,10,2,8,54,10,3,8,3,10,8,8,1,10,4,8,2,10,6,8,2,10,18,4,18,19,2,4,4,18,1,10,20,8,1,10,157,8,3,18,1,4,41,18,2,4,11,10,21,8,1,10,71,8,1,10,107,8,2,10,61,8,1,10,18,8,7,10,2,8,6,10,3,8,2,10,31,8,12,10,35,8,1,10,4,8,1,10,7,8,3,10,43,8,4,10,137,18,2,8,1,10,16,8,4,10,12,8,10,10,14,8,10,10,43,4,6,18,1,4,475,},
{4,737,10,1,8,2,10,5,8,6,10,19,8,4,10,2,8,8,10,1,8,1,10,3,8,3,10,1,8,2,10,1,8,1,10,1,8,6,10,1,8,1,18,2,10,13,9,1,8,1,15,1,14,9,15,7,14,10,15,4,14,4,15,2,14,4,15,1,14,6,15,6,14,9,17,3,14,7,17,1,14,28,15,3,14,1,18,1,8,12,10,24,8,3,10,5,8,1,10,23,8,1,18,1,3,1,14,1,18,1,10,3,8,1,15,1,14,6,15,1,8,2,18,1,14,2,18,2,15,1,18,1,8,1,10,23,18,2,10,9,8,1,18,3,8,1,10,1,8,1,18,1,14,1,15,2,14,13,17,1,16,8,17,4,16,15,17,2,16,22,17,1,14,6,17,1,14,3,15,1,8,2,10,1,8,2,10,3,8,2,15,3,8,2,15,1,14,4,15,2,14,39,15,3,14,14,15,4,14,13,15,2,14,20,15,8,14,7,15,1,18,2,15,1,14,2,15,1,18,1,8,3,18,5,15,7,14,4,15,4,14,2,15,3,14,2,15,10,8,4,18,1,14,2,18,2,8,13,10,1,8,62,18,3,8,3,10,22,8,82,10,7,8,3,10,11,8,3,10,18,4,17,19,3,4,4,10,21,8,1,10,118,8,3,10,27,8,5,10,5,8,1,10,1,4,3,19,5,4,37,19,1,4,4,19,1,4,5,10,81,8,2,10,8,8,2,10,32,8,1,10,137,8,3,10,10,8,1,10,7,8,13,10,3,8,2,10,30,8,12,10,23,8,1,10,26,8,1,10,35,8,3,10,7,8,3,10,45,8,3,10,109,8,1,10,13,8,11,10,13,8,10,10,44,4,482,},
{4,737,18,1,8,4,10,5,8,4,10,19,8,14,10,5,9,1,10,1,9,1,8,9,18,1,10,19,8,1,15,1,14,9,15,2,8,4,15,1,14,10,15,3,14,6,15,2,14,11,15,5,14,9,3,5,14,38,15,1,18,2,8,3,18,1,8,2,10,3,8,1,18,1,8,1,10,23,8,4,10,28,8,1,18,1,14,2,18,1,10,3,15,1,14,3,15,2,14,3,8,2,15,6,8,1,10,24,8,2,10,9,8,2,18,1,8,2,10,1,8,2,14,6,17,1,14,10,17,1,16,3,17,2,16,22,17,1,16,23,17,1,14,1,17,2,14,6,15,1,8,3,10,4,8,3,15,6,14,3,15,4,14,55,15,1,18,1,15,2,14,37,15,7,14,3,15,2,14,1,15,1,18,1,15,1,14,3,15,1,8,3,15,3,8,2,15,7,14,5,15,4,14,1,15,1,18,2,15,1,14,7,15,4,14,1,15,1,18,1,8,1,18,1,14,4,15,1,18,1,8,84,10,19,8,81,10,6,8,3,10,11,8,5,10,5,8,2,10,6,8,3,10,2,4,14,19,6,4,4,10,39,8,1,10,5,8,2,10,13,8,2,10,20,18,7,10,25,9,1,18,1,10,4,8,1,10,17,8,5,10,27,9,1,18,1,9,1,8,2,10,7,4,1,19,9,4,34,19,8,4,3,10,83,8,1,10,164,8,4,10,25,8,2,10,3,8,1,10,3,8,13,10,21,8,1,10,9,8,14,10,30,8,2,10,13,8,1,10,40,8,1,18,2,8,3,10,6,8,4,10,132,8,2,10,34,8,10,10,6,8,18,10,45,4,1,19,4,4,477,},
{4,732,18,1,10,4,9,1,8,4,10,4,8,5,10,20,8,8,10,2,8,1,10,7,18,3,8,9,10,18,8,3,15,1,14,6,15,1,14,2,15,1,8,5,15,1,14,9,15,3,14,8,15,1,14,10,15,6,14,9,3,5,14,38,18,1,8,5,18,1,8,1,10,4,8,1,18,1,8,1,10,13,8,1,10,12,8,3,10,27,18,3,8,1,10,2,8,1,14,4,8,2,14,1,17,1,14,1,8,4,15,2,7,1,8,2,10,12,8,2,10,10,8,3,10,8,8,4,10,2,8,2,14,5,17,3,14,8,17,2,16,3,17,2,16,46,14,2,17,3,14,6,15,1,8,8,15,6,14,4,15,4,14,50,3,2,14,3,18,3,15,2,14,36,15,5,14,5,15,1,14,2,15,3,14,3,15,1,8,3,15,3,8,1,15,7,14,7,15,5,18,1,15,1,14,8,15,1,18,1,8,1,18,1,15,1,14,1,15,3,14,4,15,2,8,77,18,2,8,13,10,10,8,24,18,1,8,57,10,5,8,4,10,11,8,4,10,5,8,5,10,3,8,2,18,1,8,1,10,2,4,14,19,6,4,4,10,44,8,2,10,14,8,2,10,20,18,3,10,1,18,3,10,23,18,5,8,1,10,2,8,2,10,16,8,1,18,2,10,30,18,2,8,2,10,6,4,2,19,9,4,34,19,8,4,3,10,76,8,2,10,4,8,2,10,28,8,3,10,114,8,1,10,5,8,3,10,9,8,5,10,25,8,2,10,2,8,2,10,4,8,12,10,20,8,3,10,9,8,12,10,46,8,2,10,39,8,1,18,2,8,4,10,5,8,4,10,131,8,5,10,31,8,3,10,1,4,3,10,2,4,3,10,5,8,4,10,4,8,2,18,1,8,6,10,20,8,1,10,24,4,2,19,5,4,476,},
{4,732,9,1,10,4,8,5,10,3,8,5,10,19,8,2,10,2,8,8,18,2,10,6,18,2,10,1,8,9,10,1,8,1,18,3,10,13,8,3,15,1,14,5,15,7,8,2,15,2,14,17,16,1,14,11,15,9,14,8,3,5,14,4,3,1,14,32,18,1,8,8,10,5,8,1,10,14,8,5,10,38,8,4,10,2,8,1,14,2,3,1,14,1,8,2,14,2,15,1,8,1,15,5,7,1,8,2,10,12,8,2,10,11,8,3,10,7,8,3,10,3,8,1,15,1,14,5,17,3,14,6,17,2,16,3,17,3,16,30,17,1,16,15,17,2,14,1,17,1,16,2,17,1,14,5,15,2,8,3,15,9,14,5,15,4,14,54,15,1,18,3,15,2,14,36,15,5,14,9,15,2,14,3,15,1,8,2,15,3,8,3,15,8,14,4,15,6,18,1,15,1,14,8,15,1,8,3,15,3,14,5,15,2,18,1,8,95,10,4,8,20,18,1,8,6,18,1,8,60,10,2,8,5,10,9,8,6,10,4,8,6,10,2,8,2,18,2,10,2,4,6,10,1,18,1,4,6,19,6,4,3,10,31,18,2,10,35,8,1,10,15,18,1,10,3,18,1,10,24,18,4,10,1,8,1,10,2,8,4,10,14,8,2,18,1,10,29,9,2,18,1,8,3,10,3,4,3,19,10,4,34,19,8,4,3,10,63,8,2,10,5,8,8,10,4,8,2,10,28,8,1,10,122,8,4,10,9,8,3,10,26,8,2,10,2,8,2,10,3,8,14,10,19,8,3,10,11,8,1,10,3,8,6,10,38,8,2,10,6,8,2,10,38,8,8,10,5,8,4,10,132,8,4,10,30,8,2,9,1,10,1,4,10,10,4,8,4,10,4,8,8,10,21,8,1,10,24,4,2,19,5,4,476,},
{4,732,10,5,8,13,10,19,8,1,10,7,8,3,18,3,10,7,18,2,8,9,10,1,18,1,3,2,18,1,10,13,8,3,15,1,14,6,15,10,14,14,16,5,14,8,15,11,14,9,3,3,14,36,15,2,18,1,8,9,10,19,8,7,10,11,8,2,10,25,8,1,10,3,8,1,15,1,14,1,3,1,14,1,8,2,14,2,15,1,8,1,15,2,8,2,15,2,8,2,10,12,8,2,10,11,8,1,18,3,8,2,10,4,8,3,10,3,8,1,15,1,14,2,3,1,14,2,17,4,14,5,17,1,16,3,17,1,14,2,16,13,17,2,16,16,17,1,16,5,17,1,16,5,17,5,14,2,17,1,16,2,17,2,14,6,15,12,14,6,15,1,14,58,15,6,14,11,15,1,14,22,15,4,14,4,15,3,14,3,15,10,8,3,15,20,14,8,15,1,18,1,8,4,15,1,14,6,15,2,8,6,18,1,8,182,10,6,8,2,10,5,8,9,10,1,8,12,18,2,8,1,10,2,4,5,10,2,4,7,19,5,4,2,10,31,18,4,10,34,8,1,10,45,18,3,10,4,8,4,10,14,8,2,18,3,8,1,10,26,8,6,10,2,4,3,19,11,4,34,19,8,4,3,10,63,8,2,10,4,8,7,10,5,8,4,10,27,8,1,10,122,8,4,10,38,8,2,10,2,8,2,10,3,8,1,10,2,8,11,10,39,8,3,10,39,8,1,10,7,8,2,10,39,8,6,10,5,8,5,10,42,8,3,10,87,8,3,10,30,8,4,4,11,10,4,8,9,10,2,8,4,10,46,4,2,19,6,4,476,},
{4,727,19,4,4,1,10,5,8,13,10,24,8,7,18,2,10,8,8,10,10,1,18,1,3,1,18,1,8,1,10,1,18,2,10,3,8,1,10,5,8,4,15,1,14,6,15,11,14,13,17,1,16,5,14,4,15,1,14,2,15,2,8,2,15,7,14,47,15,3,18,1,8,2,18,2,8,2,18,2,8,1,10,7,8,2,10,11,8,7,10,10,8,2,10,29,8,1,15,1,14,1,3,1,14,1,8,3,15,1,8,2,15,2,8,2,18,1,15,1,8,2,10,12,8,2,10,10,8,1,18,6,10,4,8,3,10,3,8,1,14,7,17,5,14,3,17,1,16,3,17,1,14,2,16,9,17,7,16,19,17,12,14,3,17,5,14,11,15,6,14,106,15,4,14,3,15,4,14,4,15,1,8,3,15,4,8,4,15,20,14,6,15,1,14,1,15,1,18,1,8,4,15,1,14,7,15,1,18,1,8,4,18,1,15,1,18,1,8,181,10,6,8,30,18,1,8,1,10,6,8,2,10,1,4,14,10,31,18,1,10,2,18,1,10,79,8,1,18,3,8,1,10,3,8,3,10,15,8,6,10,26,8,6,10,2,4,2,19,12,4,36,19,8,4,2,10,62,8,2,10,4,8,5,10,7,8,4,10,27,8,1,10,121,8,4,10,39,8,2,10,2,8,2,10,11,8,6,10,41,8,1,10,18,8,1,10,70,8,2,10,8,8,5,10,42,8,3,10,119,8,5,4,11,10,4,8,8,10,3,8,4,10,46,4,1,19,7,4,476,},
{4,726,19,5,4,1,10,5,8,13,10,24,8,7,18,2,10,8,8,9,18,1,10,2,18,2,10,2,18,2,10,2,8,3,10,4,8,4,15,1,14,9,15,10,14,11,16,8,14,5,15,2,8,2,15,6,14,46,15,3,18,2,8,3,18,7,8,1,10,5,8,1,10,1,8,1,10,12,8,7,10,41,8,1,14,3,8,5,15,1,14,1,15,1,8,2,18,1,15,1,8,1,10,13,8,1,10,12,18,6,10,4,8,2,10,3,8,1,15,1,14,7,17,3,16,1,17,2,14,4,17,2,14,2,17,1,16,3,17,12,16,18,17,14,14,3,17,5,14,11,15,1,14,5,15,1,14,103,15,6,14,2,15,6,14,3,15,1,8,4,15,3,8,4,15,18,14,6,15,5,8,5,15,1,14,8,15,1,18,2,8,2,18,2,8,113,18,1,8,5,18,1,8,9,18,1,8,52,10,6,8,31,18,3,8,6,10,1,18,1,4,12,10,32,18,2,10,1,18,2,10,80,8,3,10,3,8,2,10,16,8,5,10,26,8,1,10,1,9,2,8,2,9,2,4,3,19,10,4,38,19,8,4,2,10,62,8,1,10,5,8,4,10,8,8,3,10,150,8,3,10,40,8,2,10,15,8,6,10,44,8,1,10,14,8,3,10,3,8,1,10,11,8,3,10,61,8,5,10,41,8,4,10,92,8,2,10,25,8,4,10,1,4,12,10,2,8,8,10,4,8,4,10,45,4,2,19,7,4,476,},
{4,726,19,5,4,1,10,5,8,14,10,23,8,8,10,11,8,7,18,1,10,5,18,2,10,3,8,2,10,5,8,4,15,1,14,9,15,6,8,3,15,2,14,10,16,9,14,5,15,7,14,16,15,4,14,26,15,5,18,1,15,1,8,4,18,1,8,1,18,5,8,1,10,4,8,2,10,5,8,3,10,7,8,7,10,39,8,1,18,1,14,2,8,5,15,1,14,1,15,1,8,2,15,2,8,1,10,27,18,3,8,1,10,8,8,2,14,10,17,2,16,2,17,1,14,8,17,1,16,2,17,11,16,20,17,15,14,3,17,4,14,10,15,2,14,5,15,1,14,55,3,2,14,45,15,6,14,3,15,2,18,2,15,2,14,3,15,1,8,3,15,4,8,3,15,17,14,3,15,1,14,4,15,5,18,1,8,3,18,1,15,2,14,8,15,2,18,2,8,1,18,1,8,113,18,2,8,4,18,2,8,7,18,3,8,51,10,7,8,26,10,2,8,2,18,7,8,2,10,2,18,4,10,6,18,1,10,35,18,3,10,82,8,1,10,3,8,1,10,18,8,2,10,27,8,1,18,1,4,2,18,1,10,1,4,5,19,7,4,42,19,8,4,2,10,67,8,4,10,24,8,1,10,136,8,4,10,40,8,2,10,16,8,5,10,44,8,2,10,13,8,3,10,3,8,2,10,9,8,4,10,61,8,4,10,42,8,5,10,90,8,4,10,24,8,3,10,1,4,14,18,1,9,1,8,6,10,6,8,3,10,39,4,8,19,7,4,476,},
{4,726,19,5,4,1,10,3,8,16,10,30,8,1,18,1,8,2,10,7,8,9,10,5,18,2,10,11,8,4,15,1,14,8,15,2,14,2,15,2,8,4,15,2,14,11,16,7,14,7,15,5,14,16,15,4,14,2,15,2,14,21,15,3,18,1,15,1,18,1,15,2,8,6,18,5,8,1,10,10,8,4,10,8,8,7,10,39,8,2,18,1,8,4,18,1,15,1,14,1,15,1,8,2,15,2,8,1,10,39,8,1,15,1,14,1,3,1,14,9,17,4,14,3,15,2,14,3,17,3,14,4,17,7,16,20,17,9,16,5,17,1,14,3,17,5,14,16,15,2,14,32,3,3,14,10,3,1,14,9,3,2,14,14,15,3,14,27,15,6,14,3,15,6,14,2,15,2,8,3,15,3,8,3,15,4,8,4,15,6,8,1,15,3,14,8,15,6,8,3,15,4,14,8,15,1,18,2,8,65,10,1,8,49,18,8,8,8,18,2,8,51,10,7,8,27,10,1,8,3,18,1,8,1,18,2,8,2,10,4,8,1,18,4,10,4,8,2,10,35,18,4,10,81,8,5,10,47,8,1,9,1,4,5,19,11,4,42,19,8,4,2,10,66,8,3,10,26,8,1,10,135,8,5,10,15,8,2,10,23,8,2,10,3,8,1,10,12,8,5,10,59,8,3,10,3,8,2,10,3,8,1,10,5,8,4,10,58,8,7,10,42,8,7,10,88,8,4,10,24,8,3,4,16,18,3,8,3,10,4,8,1,10,43,4,6,19,9,4,477,},
{4,726,19,5,4,1,10,2,8,17,10,14,8,2,10,14,8,1,18,1,8,5,10,3,8,9,10,14,8,2,10,3,8,4,15,1,14,9,15,1,14,3,15,2,8,3,15,3,14,1,15,1,14,9,16,7,14,7,15,1,8,2,15,1,14,18,15,1,14,3,15,2,14,21,15,2,18,6,8,7,18,5,8,1,10,10,8,3,10,10,8,5,10,40,8,2,18,2,8,1,18,2,15,1,14,2,8,2,14,1,18,1,8,1,10,38,8,2,14,1,3,2,14,12,17,1,14,3,15,3,14,8,17,2,16,2,17,4,16,16,17,12,16,6,17,2,14,2,17,8,14,13,15,2,14,32,3,1,17,1,14,37,15,4,14,27,15,5,14,4,15,5,14,2,15,2,8,2,15,4,8,2,15,2,14,2,15,1,8,4,15,5,8,3,15,2,14,8,15,3,14,1,15,2,18,1,8,1,18,1,15,1,14,1,15,2,14,8,15,1,18,1,8,116,18,7,8,4,10,1,8,3,18,3,8,52,10,5,8,21,10,2,8,10,10,9,8,3,18,1,8,1,10,4,8,3,10,15,8,2,10,18,18,3,10,32,8,3,10,45,8,6,10,47,18,1,9,1,4,3,19,13,4,42,19,9,4,1,10,65,8,4,10,34,8,2,10,126,8,2,18,1,8,3,10,12,8,5,10,18,8,2,10,2,8,2,10,2,8,2,10,2,8,2,10,8,8,6,10,58,8,3,10,3,8,6,10,7,8,3,10,57,8,7,10,42,8,8,10,83,8,1,10,2,8,5,10,23,8,3,9,1,4,16,18,4,8,1,10,4,8,4,10,41,4,3,19,13,4,476,},
{4,726,19,5,4,1,10,2,8,17,10,4,8,2,10,8,8,2,10,9,8,2,10,3,8,19,10,22,8,2,15,1,14,13,15,9,14,10,17,1,16,5,14,7,15,1,8,2,15,1,14,7,3,1,14,37,15,2,18,7,8,13,10,9,8,3,10,9,8,6,10,41,8,2,18,5,14,1,18,1,8,2,14,1,18,1,8,1,10,3,8,2,10,34,8,1,15,1,14,1,3,2,14,15,15,1,8,2,15,1,14,7,16,5,17,3,16,15,17,2,14,2,17,1,16,2,17,5,16,5,17,10,16,3,17,2,14,18,15,1,14,13,15,5,14,10,3,1,14,38,15,4,14,35,15,4,14,3,15,5,14,2,15,1,8,1,15,2,14,3,15,1,8,4,15,5,8,3,15,2,14,9,15,2,14,2,15,2,18,2,15,1,14,1,15,3,14,6,15,2,18,4,8,64,10,4,8,33,18,1,8,11,18,7,8,4,10,1,8,4,18,2,8,53,10,4,8,21,10,2,8,5,10,16,8,12,10,13,8,1,10,19,18,1,9,1,18,1,10,32,8,3,10,45,8,7,10,48,4,2,19,12,4,45,19,7,4,2,10,33,8,1,10,30,8,4,10,34,8,3,10,126,8,6,10,10,8,7,10,10,8,3,10,5,8,2,10,1,8,3,10,2,8,3,10,1,8,2,10,8,8,6,10,58,8,3,10,4,8,6,10,6,8,2,10,58,8,7,10,42,8,9,10,86,8,4,10,22,8,4,10,1,4,16,18,3,8,1,10,4,8,2,18,3,8,2,10,38,4,4,19,12,4,477,},
{4,725,19,6,4,1,10,2,8,17,10,5,8,1,10,9,8,3,10,12,8,19,10,22,8,2,15,1,14,14,15,8,14,11,17,1,16,4,14,6,15,1,8,3,15,1,14,39,15,1,14,5,15,1,18,10,8,1,18,2,8,8,10,1,8,1,10,6,8,4,10,8,8,7,10,42,8,1,18,1,8,2,18,4,8,2,18,1,8,1,10,3,8,1,18,1,8,1,10,31,8,1,10,3,8,1,14,3,3,1,14,2,17,1,14,11,15,1,8,3,15,4,14,2,17,1,16,5,17,5,16,13,17,2,14,2,17,1,16,2,17,20,16,4,17,1,14,18,15,2,14,10,15,2,8,4,15,1,14,50,15,3,14,37,15,2,14,3,15,3,14,4,15,3,14,4,15,1,8,4,15,6,8,2,15,2,14,9,15,1,14,3,15,2,18,2,15,1,14,8,15,2,18,5,15,1,18,1,8,63,10,6,8,29,18,4,8,10,18,3,8,2,18,2,8,66,10,2,8,27,10,21,8,8,10,13,8,2,10,7,8,2,10,9,18,3,10,79,8,4,10,2,8,2,10,48,4,2,19,8,4,58,10,62,8,5,10,6,8,3,10,26,8,3,10,127,8,6,10,9,8,7,10,3,8,3,10,3,8,5,10,4,8,2,10,1,8,3,10,2,8,2,10,2,8,2,10,8,8,5,10,59,8,2,10,5,8,6,10,65,8,8,10,42,8,11,10,85,8,1,10,23,8,4,10,1,4,17,18,1,10,1,8,1,10,4,8,3,18,4,8,2,10,4,8,4,10,25,4,7,19,10,4,480,},
{4,724,19,6,4,2,10,2,8,3,10,1,8,9,10,16,8,1,10,3,8,3,10,11,8,15,10,21,8,1,10,4,8,2,15,1,14,16,15,6,14,12,16,1,17,2,16,1,14,6,15,1,8,3,15,1,14,18,15,1,14,19,15,7,18,7,8,1,18,4,8,1,18,1,8,2,10,13,8,3,10,9,8,8,10,6,8,2,10,35,8,5,18,2,8,4,10,3,8,1,18,2,10,31,8,1,10,3,8,2,14,2,3,2,14,6,15,2,14,6,15,2,8,4,15,1,14,3,16,4,17,2,14,4,17,1,16,12,17,4,16,3,17,20,16,3,17,2,14,18,15,2,14,9,15,2,8,3,10,1,8,2,15,1,14,36,17,7,14,51,15,2,14,4,15,4,14,4,15,1,8,4,15,11,14,7,15,2,14,4,15,1,18,2,15,1,14,5,15,3,18,1,8,3,18,2,15,3,18,3,8,60,10,8,8,26,18,5,8,10,18,3,8,62,18,1,8,35,10,22,8,5,10,25,8,3,10,9,18,3,10,77,8,4,10,3,8,2,10,38,9,1,8,1,10,8,4,2,19,7,4,59,10,62,8,5,10,5,8,4,10,156,8,6,10,9,8,7,10,2,8,13,10,3,8,2,10,1,8,3,10,2,8,2,10,2,8,2,10,9,8,2,10,69,8,6,10,25,8,1,10,38,8,8,10,43,8,10,10,90,8,3,10,15,8,4,9,1,4,18,10,6,8,4,18,4,8,1,10,5,8,4,10,24,4,8,19,10,4,480,},
{4,723,19,7,4,2,10,2,8,3,10,2,8,8,10,16,8,7,10,10,8,15,10,22,8,1,10,4,8,2,14,17,15,6,14,11,17,1,16,1,17,2,16,1,17,1,14,4,15,1,8,4,15,1,14,16,15,7,14,10,15,3,14,1,15,1,8,3,15,3,18,3,8,1,18,3,8,2,18,3,8,5,10,12,8,3,10,10,8,15,10,39,8,2,18,4,8,1,10,4,8,1,18,2,10,35,8,2,14,2,3,2,14,15,15,2,8,3,15,1,14,3,17,1,16,2,17,2,14,6,17,1,16,18,17,16,14,2,17,3,16,1,17,2,14,19,15,3,14,8,15,1,8,2,10,4,8,1,15,1,14,3,3,2,14,29,17,3,16,6,17,2,14,13,3,4,14,32,15,2,14,4,15,3,14,3,15,2,8,5,15,12,14,5,15,4,14,3,15,1,18,1,15,2,14,5,15,3,18,1,8,3,18,2,15,3,18,4,8,60,10,8,8,25,18,5,8,11,18,1,8,63,18,2,8,5,10,3,8,6,18,1,8,4,18,2,8,8,18,2,8,2,10,10,8,2,10,12,8,4,10,24,8,3,10,10,18,3,10,5,18,2,10,30,8,3,10,37,8,4,10,4,8,1,10,34,4,6,10,8,4,2,19,6,4,60,10,31,8,1,10,8,8,3,10,4,8,1,10,14,8,4,10,6,8,3,10,35,8,2,10,73,8,1,10,42,8,1,10,7,8,2,10,10,8,6,10,2,8,8,9,1,8,5,10,2,8,2,10,2,8,2,10,2,8,2,10,2,8,2,10,84,8,6,10,21,8,1,10,38,8,8,10,46,8,7,10,89,8,4,10,15,8,4,9,1,4,18,10,5,8,10,10,5,8,3,10,25,4,3,19,13,4,482,},
{4,722,19,7,4,3,10,2,8,3,10,3,8,7,10,14,8,10,10,5,8,14,10,2,8,3,10,21,8,2,10,4,8,1,15,1,14,17,15,7,14,11,17,5,14,3,15,1,8,4,15,2,14,10,15,4,14,4,15,1,14,2,15,2,14,6,15,5,8,1,15,3,8,11,18,2,8,2,18,3,8,2,18,1,8,2,10,12,8,2,10,19,8,7,10,40,8,1,18,4,8,1,10,5,18,2,10,34,8,2,15,1,14,21,15,4,14,3,17,4,14,7,17,1,16,18,17,2,14,5,17,6,16,1,17,5,16,3,17,2,14,19,15,4,14,7,15,1,8,1,10,6,8,1,15,1,14,2,3,2,14,30,17,1,16,9,17,1,14,45,15,1,14,1,15,3,14,2,15,4,14,2,15,2,8,5,15,20,18,1,15,2,14,3,15,1,18,1,15,2,14,4,15,4,18,1,8,1,18,4,15,3,18,3,8,63,10,6,8,26,18,4,8,71,10,2,8,2,18,2,8,4,10,4,8,5,18,1,8,18,10,11,8,2,10,39,8,4,10,10,18,4,10,3,18,4,10,1,9,1,8,1,10,9,8,2,10,14,8,4,10,37,8,4,10,4,8,1,10,33,4,10,10,1,4,6,19,5,4,61,10,40,8,2,10,5,8,1,10,14,8,3,10,9,8,1,10,35,8,4,10,68,8,5,10,28,8,4,10,12,8,1,10,17,8,5,10,3,8,4,10,2,8,7,10,1,8,3,10,2,8,2,10,2,8,2,10,2,8,2,10,85,8,5,10,11,8,2,10,7,8,2,10,38,8,8,10,50,8,1,10,91,8,4,10,15,8,2,9,2,4,19,10,3,8,7,10,11,8,1,10,26,4,2,19,13,4,483,},
{4,722,19,7,4,2,18,1,10,3,8,3,10,2,8,7,10,5,8,2,10,7,8,10,10,7,8,12,10,2,8,1,10,1,8,1,10,10,8,1,18,2,8,1,10,5,8,3,10,5,8,1,15,1,14,17,15,2,8,4,15,3,14,1,15,3,14,10,3,1,14,2,8,4,15,2,14,12,15,2,14,9,15,2,14,4,15,4,8,5,15,2,8,10,18,6,8,3,18,2,8,1,10,34,8,6,10,18,8,1,10,21,8,1,18,4,8,1,10,5,18,2,10,33,8,1,18,1,14,8,15,2,14,15,15,1,14,4,17,2,14,3,17,3,14,3,16,18,17,3,14,5,17,4,16,5,17,2,16,4,17,2,14,2,17,2,14,10,15,10,14,6,15,1,8,1,10,6,8,1,15,1,14,2,16,1,3,1,14,19,17,2,14,9,17,1,16,9,17,1,14,6,15,4,14,25,15,1,14,8,15,6,14,1,15,2,8,1,15,2,14,2,15,1,8,5,15,13,8,4,15,2,18,4,15,1,14,3,15,3,14,3,15,7,18,1,15,2,18,7,8,68,10,1,8,27,18,4,8,71,10,3,8,1,18,2,8,4,10,5,8,14,10,3,8,6,10,52,8,4,10,6,8,1,10,3,18,4,10,1,18,8,9,1,8,1,10,22,8,6,10,38,8,3,10,3,8,2,10,30,4,7,19,1,4,7,19,1,4,1,19,5,4,64,10,92,8,2,10,15,8,6,10,67,8,5,10,6,8,2,10,20,8,5,10,10,8,3,10,17,8,4,10,3,8,3,10,5,8,13,10,2,8,2,10,2,8,2,10,87,8,2,10,5,8,2,10,4,8,3,10,7,8,2,10,22,8,5,10,5,8,1,10,5,8,7,10,144,8,1,10,17,9,1,10,1,18,1,4,18,10,4,8,8,10,31,8,1,10,5,4,3,19,6,4,490,},
{4,722,19,7,4,1,18,2,8,1,10,3,8,2,10,2,8,8,10,3,8,1,18,1,8,2,10,7,8,9,10,8,8,16,10,9,8,2,18,1,8,2,10,5,8,3,10,5,8,2,15,1,14,17,15,2,8,1,15,3,8,2,15,2,8,1,15,2,14,1,15,1,14,7,3,1,14,2,8,4,15,2,14,23,15,2,14,4,15,4,8,4,15,6,18,1,8,7,18,5,8,3,18,3,8,1,10,4,8,5,10,10,8,2,10,12,8,4,10,20,8,3,10,19,8,1,18,4,8,1,10,40,8,1,15,1,14,35,17,4,14,1,17,1,16,17,17,2,14,6,17,3,16,6,17,9,14,3,17,2,14,8,15,11,14,5,15,1,8,3,10,4,8,2,15,1,14,2,16,1,3,1,14,19,17,1,14,11,17,1,16,8,17,1,14,10,15,1,14,24,15,1,14,9,15,2,14,1,15,4,8,3,15,1,14,2,15,1,8,4,15,9,14,3,15,2,8,4,18,4,8,1,18,1,15,1,14,3,15,3,14,3,15,13,18,4,8,38,10,1,8,58,18,2,8,72,10,3,8,1,18,2,8,4,10,4,8,15,10,3,8,5,10,55,8,2,10,5,8,2,18,1,10,3,18,3,10,3,18,2,10,1,9,1,18,3,10,21,8,8,10,33,8,1,10,5,8,2,10,3,8,2,10,30,4,6,19,6,4,2,19,8,4,64,10,54,8,1,10,3,8,1,10,17,8,2,10,6,8,1,10,24,8,5,10,28,8,1,10,39,8,6,10,4,8,4,10,19,8,4,10,11,8,3,10,17,8,4,10,4,8,3,10,4,8,1,10,5,8,15,10,94,8,3,10,13,8,2,10,16,8,12,10,10,8,7,10,97,8,1,10,49,8,3,10,10,8,1,10,1,4,21,10,3,8,8,10,37,4,3,19,7,4,490,},
{4,720,19,8,4,2,18,1,8,1,10,8,8,9,10,2,8,1,18,2,8,1,10,1,8,2,10,4,8,7,18,1,8,1,10,3,8,3,10,4,8,12,10,3,8,1,10,8,8,2,10,6,8,5,10,5,8,2,15,1,14,3,3,3,14,11,15,3,14,2,15,1,8,1,15,10,14,6,15,1,8,4,15,2,14,9,15,3,14,18,15,6,14,8,18,1,8,6,18,6,8,3,18,2,8,11,10,10,8,2,10,11,8,4,10,19,8,3,10,21,8,1,18,3,8,1,10,35,8,2,10,2,8,1,18,2,14,28,17,2,14,4,17,2,16,3,17,3,16,5,17,4,16,8,14,6,17,1,16,5,17,2,16,1,17,1,14,8,17,1,14,12,15,6,14,6,15,7,8,7,15,1,14,3,3,2,14,11,17,1,16,1,17,1,14,19,17,2,16,4,17,1,14,4,3,2,14,3,3,1,14,1,18,2,14,2,15,2,14,33,15,4,8,1,15,6,8,2,15,3,8,4,15,3,14,2,15,3,8,5,18,4,8,1,18,2,15,7,14,1,15,15,18,3,8,37,10,2,8,4,18,2,8,53,18,1,8,20,18,1,8,36,18,1,8,14,10,1,8,2,18,3,8,31,10,61,8,3,10,13,18,6,9,1,10,16,8,8,10,46,8,1,10,30,4,4,19,8,4,1,19,9,4,64,10,40,8,2,10,7,8,4,10,22,8,3,10,4,8,3,10,24,8,4,10,29,8,3,10,37,8,7,10,3,8,5,10,50,8,1,10,1,8,5,10,4,8,8,10,6,8,15,10,95,8,2,10,12,8,2,10,17,8,4,10,6,8,2,10,9,8,7,10,3,8,1,10,57,8,2,10,33,8,3,10,47,8,4,10,10,8,1,10,1,4,21,10,3,8,6,10,23,8,1,10,15,4,2,19,7,4,491,},
{4,720,19,7,4,3,10,9,8,10,10,2,8,1,18,2,8,4,10,4,8,9,10,2,8,5,10,3,8,12,10,20,8,5,10,6,9,1,8,1,15,1,14,2,3,2,14,6,17,1,16,3,17,1,14,7,15,2,14,6,15,4,14,5,18,1,8,6,15,1,14,5,15,5,14,5,15,1,14,14,15,3,14,10,15,1,18,1,8,5,18,7,8,3,18,5,8,3,18,3,8,1,10,10,8,2,10,10,8,5,10,4,8,1,10,15,8,1,10,2,8,1,10,3,8,1,10,16,8,1,18,2,8,1,10,34,8,1,18,2,8,1,10,1,8,1,18,3,15,1,14,6,3,1,14,7,17,1,16,1,17,1,14,9,17,3,14,3,17,1,16,3,17,2,14,1,17,6,14,4,17,6,16,1,17,1,14,6,17,2,16,4,17,2,16,1,17,1,14,8,17,1,14,12,15,3,14,9,15,13,14,6,3,2,14,10,16,3,17,1,14,11,17,2,14,8,17,2,14,5,17,1,3,2,14,1,3,3,14,1,18,2,14,2,18,2,14,34,15,3,8,4,15,8,8,4,15,3,14,2,15,3,8,5,18,1,15,2,18,1,8,3,18,1,15,5,18,1,15,12,14,4,15,1,18,2,8,37,10,1,8,4,18,3,8,53,18,4,8,72,18,4,8,31,10,29,8,1,10,31,8,2,10,17,18,4,10,16,8,4,10,49,8,2,10,19,8,2,10,4,18,2,10,1,4,5,19,18,4,65,10,48,8,4,10,21,8,3,10,4,8,4,10,5,8,1,10,19,8,2,10,30,8,3,10,37,8,7,10,1,8,8,10,47,8,9,10,4,8,8,10,6,8,17,10,93,8,2,10,32,8,2,10,18,8,5,10,5,8,1,10,6,8,1,10,27,8,1,10,22,8,2,10,32,8,4,10,5,8,4,10,11,8,3,10,16,8,3,10,4,8,5,10,9,8,1,9,1,4,22,10,3,8,6,10,23,8,2,10,14,4,2,19,6,4,492,},
{4,720,19,7,4,2,10,10,8,8,10,4,8,8,10,3,8,5,10,1,8,2,10,4,8,20,10,22,8,1,10,8,8,2,15,1,14,8,17,1,16,7,17,1,14,19,15,1,18,5,8,3,15,1,14,4,15,1,8,3,15,1,14,6,15,3,14,14,15,1,14,10,15,2,8,5,18,7,8,3,18,4,8,8,10,22,8,6,10,21,8,2,10,3,8,1,10,17,8,3,10,33,8,1,18,3,8,3,18,3,15,1,14,14,17,1,16,1,17,1,14,9,17,6,16,1,17,2,14,5,17,4,14,11,17,2,14,9,17,1,16,6,14,35,15,1,14,28,16,4,17,1,14,9,17,1,16,1,17,1,14,13,3,1,16,1,3,1,14,3,3,4,14,3,18,3,14,20,15,4,14,2,15,2,14,7,15,3,8,5,15,6,8,3,15,9,8,5,18,4,8,4,18,1,15,2,18,1,8,3,18,4,15,4,14,7,18,1,8,45,18,1,8,53,18,5,8,22,18,1,8,32,18,3,8,14,18,4,8,20,10,5,8,2,10,31,8,1,10,115,8,2,10,6,8,4,10,19,8,2,10,4,18,1,4,7,19,17,4,71,10,43,8,3,10,27,8,6,10,4,8,3,10,90,8,7,10,1,8,8,10,47,8,3,10,2,8,4,10,3,8,10,10,5,8,19,10,10,8,1,10,80,8,2,10,53,8,2,10,7,8,2,10,59,8,2,10,29,8,4,10,4,8,6,10,29,8,3,10,5,8,4,10,3,4,3,18,1,4,6,19,2,4,18,10,1,8,6,10,25,8,2,10,13,4,3,19,6,4,492,},
{4,720,19,7,4,1,10,5,8,3,10,3,8,7,10,4,8,10,10,2,8,5,10,8,8,19,18,2,10,17,8,4,10,9,8,2,15,4,14,4,17,1,16,9,17,3,14,1,17,7,14,6,15,1,8,2,18,1,15,1,14,2,8,4,14,3,15,1,8,4,15,1,14,6,15,3,14,25,15,2,18,1,8,5,18,6,8,15,10,22,8,7,10,19,8,3,10,3,8,1,10,8,8,1,10,9,8,2,10,32,8,2,18,3,8,4,18,3,15,2,14,12,17,3,14,12,17,4,14,8,17,1,14,18,17,3,14,4,16,6,17,2,14,62,16,5,14,7,17,1,16,3,17,1,14,13,16,2,3,1,14,5,3,1,14,2,18,5,15,2,14,8,15,3,14,6,15,11,14,5,15,2,8,7,15,19,8,3,18,5,8,2,18,5,8,8,18,2,15,3,14,5,8,100,18,5,8,11,18,3,8,7,18,3,8,32,18,3,8,14,18,3,8,9,10,5,8,5,10,39,8,1,10,115,8,3,10,5,8,2,10,1,8,1,10,18,8,4,10,3,4,8,19,17,4,63,19,3,4,5,10,44,8,1,10,15,8,1,10,11,8,7,10,4,8,4,10,90,8,10,10,3,8,2,10,47,8,10,10,2,8,11,10,4,8,20,10,9,8,1,10,111,8,1,10,32,8,2,10,45,8,2,10,11,8,3,10,31,8,2,10,4,8,6,10,30,8,1,10,6,8,3,10,4,4,9,19,3,4,18,18,1,8,4,10,36,8,2,10,3,4,3,19,6,4,493,},
{4,720,19,7,4,1,10,4,8,5,10,2,8,6,10,5,8,10,10,3,8,4,10,9,8,17,18,3,10,16,8,5,10,10,8,3,15,3,14,3,16,10,14,1,17,1,16,9,17,1,14,4,15,2,8,2,15,1,14,3,8,3,18,1,14,3,8,5,15,1,14,36,15,2,8,4,18,5,8,16,10,23,8,7,10,18,8,3,10,12,8,2,10,8,8,3,10,31,8,2,18,3,8,5,18,3,8,1,15,1,14,11,17,2,3,1,14,6,17,3,14,12,17,1,14,15,15,3,14,3,17,1,16,2,17,4,16,7,17,1,14,26,15,2,14,35,16,4,14,6,16,5,17,1,14,4,17,1,14,8,3,2,14,5,18,5,8,1,18,1,14,2,15,9,8,6,15,1,14,3,15,9,18,3,15,1,14,2,15,3,8,6,15,21,8,2,18,1,15,3,18,4,15,3,18,1,8,10,18,3,15,5,8,13,18,2,8,86,18,4,8,5,18,1,8,5,18,3,8,7,18,4,8,31,18,6,8,22,10,6,8,4,10,40,8,1,10,43,8,5,10,67,8,3,10,28,8,3,10,3,4,8,19,6,4,2,19,9,4,63,19,4,4,4,10,59,8,3,10,10,8,2,10,2,8,3,10,4,8,4,10,90,8,10,10,4,8,1,10,40,8,2,10,4,8,11,10,1,8,13,10,3,8,20,10,68,8,1,10,51,8,2,10,33,8,1,10,45,8,3,10,10,8,3,10,37,8,7,10,43,4,3,19,9,4,9,19,4,4,5,18,1,8,4,10,35,8,3,10,2,4,2,19,5,4,496,},
{4,720,19,5,4,3,10,3,8,13,10,9,8,7,10,3,8,1,18,2,8,2,10,11,8,13,18,3,10,16,8,1,18,1,15,2,8,2,10,11,8,4,15,1,14,2,17,1,16,9,17,1,14,1,17,1,16,10,17,1,14,4,15,4,14,3,15,1,8,2,18,1,15,3,8,4,15,2,14,37,15,1,8,4,15,3,18,1,8,17,10,27,8,3,10,18,8,2,18,1,8,1,10,11,8,5,10,6,8,2,10,31,8,5,10,4,8,6,15,1,14,14,3,3,14,1,3,1,16,2,17,1,14,11,17,1,16,1,17,1,14,13,15,1,8,4,15,1,14,2,16,8,17,6,14,3,17,1,14,22,15,2,14,35,17,1,16,1,17,1,14,6,17,1,16,4,17,1,14,4,17,3,14,13,8,1,10,5,8,1,18,1,3,2,15,6,8,10,15,6,14,4,15,2,18,4,15,3,8,7,15,9,14,2,15,11,8,2,18,1,15,11,18,2,8,12,18,3,8,15,18,2,8,19,10,2,8,89,18,4,8,31,18,4,8,24,10,5,8,5,10,6,8,3,10,76,8,4,10,67,8,3,10,28,8,3,10,3,4,9,19,4,4,4,19,8,4,63,19,4,4,5,10,40,8,2,10,12,8,1,10,2,8,6,10,8,8,1,10,4,8,2,10,5,8,3,10,91,8,8,10,6,8,1,10,33,8,4,10,2,8,20,10,1,8,14,10,1,8,16,10,13,8,1,10,55,8,3,10,50,8,3,10,78,8,3,10,2,8,1,10,4,8,1,10,2,8,3,10,38,8,6,10,39,4,6,19,10,4,8,19,6,4,3,18,2,8,3,10,36,8,2,10,3,4,1,19,6,4,496,},
{4,720,19,5,4,2,10,3,8,14,10,2,8,2,10,5,8,7,10,3,8,1,18,2,8,5,10,10,8,12,10,1,18,1,10,15,8,1,18,1,15,1,14,2,15,1,8,2,10,2,9,1,8,2,10,5,8,4,15,1,14,2,17,1,16,2,17,1,14,8,16,11,17,1,14,11,15,1,8,1,15,3,8,5,15,1,14,3,15,3,14,6,15,3,14,25,8,4,15,3,8,18,10,28,8,1,10,19,8,2,18,1,8,1,10,13,8,4,10,5,8,2,10,40,8,6,15,1,14,14,3,5,16,2,17,1,14,10,17,1,16,2,17,1,14,12,15,1,8,6,14,2,17,1,16,7,17,1,14,3,17,1,14,4,17,1,14,22,15,2,14,3,15,3,14,17,16,5,14,14,17,3,16,3,14,6,17,1,16,2,17,1,14,10,3,1,18,1,10,6,8,1,18,1,3,2,14,1,15,1,14,3,15,2,8,3,15,3,8,3,15,4,14,8,15,1,18,2,8,7,15,12,14,4,15,10,8,2,18,2,15,12,8,51,10,3,8,91,18,1,8,30,18,5,8,14,18,1,8,9,10,4,8,7,10,4,8,4,10,76,8,5,10,66,8,3,10,28,8,2,10,4,4,2,19,4,4,14,19,5,4,63,19,7,4,6,10,35,8,3,10,12,8,1,10,2,8,9,10,10,8,2,10,6,8,1,10,92,8,8,10,6,8,1,10,25,8,3,10,5,8,4,10,2,8,17,10,6,8,11,10,3,8,14,10,14,8,3,10,52,8,3,10,51,8,3,10,79,8,2,10,2,8,2,10,2,8,2,10,2,8,3,10,41,8,2,10,38,4,6,19,12,4,8,19,5,4,2,18,4,8,3,10,39,4,3,19,6,4,496,},
{4,720,19,5,4,1,10,4,8,4,10,1,8,8,10,2,8,4,10,4,8,7,10,4,18,2,8,5,10,10,8,12,18,1,10,15,8,1,18,1,14,4,15,2,8,8,10,1,9,1,8,2,15,4,14,13,17,1,16,11,17,1,14,11,15,1,8,1,15,2,8,4,15,1,14,5,15,3,14,2,3,1,14,3,15,3,14,10,15,2,14,8,15,2,14,2,15,1,8,4,15,2,18,1,8,19,10,27,8,1,10,19,8,1,18,2,10,15,8,1,18,2,8,1,10,46,8,1,18,1,8,4,14,16,3,4,14,13,17,1,16,2,17,1,14,11,15,1,8,3,10,3,8,1,15,1,14,2,17,2,16,4,17,1,14,9,17,2,14,21,15,2,14,2,15,5,14,15,17,1,16,5,14,27,17,1,16,1,17,1,14,8,3,3,18,1,10,1,18,4,10,1,18,1,3,3,14,6,15,5,14,3,15,4,14,11,15,2,18,1,8,3,15,4,14,3,15,7,14,5,15,3,8,1,15,6,8,3,18,3,15,7,14,2,15,1,8,12,18,4,8,3,18,3,8,29,10,3,8,69,10,5,8,48,18,4,8,14,18,3,8,9,10,2,8,8,10,3,8,6,10,90,8,2,10,53,8,3,10,30,8,2,10,3,4,1,19,5,4,14,19,5,4,63,19,9,4,5,10,34,8,3,10,15,8,10,10,4,8,1,10,3,8,4,10,100,8,6,10,6,8,2,10,24,8,4,10,3,8,5,10,3,8,16,10,7,8,10,10,3,8,14,10,14,8,3,10,106,8,3,10,87,8,2,10,81,8,2,10,3,4,2,19,16,4,8,19,5,4,1,18,1,8,6,10,39,4,4,19,5,4,497,},
{4,719,19,6,4,1,10,5,8,2,10,3,8,7,10,2,8,4,10,5,8,6,10,4,18,1,15,1,8,6,10,7,8,14,18,1,10,12,8,3,15,1,14,4,15,2,14,2,15,6,8,4,15,5,14,12,16,7,14,12,3,1,14,4,15,1,8,2,15,1,8,2,10,1,8,2,14,14,15,3,14,9,15,5,14,7,15,5,8,5,15,2,8,19,10,26,8,3,10,18,8,3,10,15,8,1,18,3,8,1,10,34,8,2,10,3,8,1,18,1,8,2,10,2,8,1,18,3,8,1,18,1,14,16,3,3,14,29,15,1,8,2,10,3,8,3,15,1,14,6,17,1,14,10,17,2,14,22,15,1,14,2,15,6,14,14,17,1,16,5,14,6,3,1,14,20,3,13,14,1,8,1,10,6,18,1,3,2,14,9,15,1,14,22,15,5,14,6,15,4,8,1,15,2,14,5,15,3,8,2,15,5,8,7,18,2,15,5,14,2,18,1,8,2,18,1,8,3,18,2,15,5,14,1,15,1,18,1,8,1,18,4,8,29,10,3,8,8,18,2,8,51,18,2,8,4,10,7,8,48,18,3,8,13,18,6,8,17,10,4,8,6,10,90,8,4,10,5,8,6,10,39,8,4,10,30,8,3,10,1,4,2,19,5,4,86,19,7,4,3,10,34,8,3,10,16,8,9,10,4,8,2,10,2,8,4,10,103,8,2,10,7,8,2,10,24,8,4,10,3,8,5,10,6,8,12,10,8,8,11,10,2,8,14,10,14,8,3,10,106,8,3,10,96,8,2,10,72,8,2,10,2,4,2,19,15,4,8,19,6,4,2,10,1,8,4,10,25,8,1,10,5,8,2,10,8,4,506,},
{4,718,19,6,4,2,10,4,8,4,10,2,8,7,10,2,8,4,10,5,8,6,10,4,8,8,10,5,8,17,10,2,8,2,10,6,8,3,18,1,15,1,14,14,15,3,8,1,15,2,14,16,16,6,14,13,16,1,17,1,14,3,15,1,8,7,15,1,14,14,15,2,14,6,15,9,14,7,15,5,8,26,10,26,8,3,10,19,8,2,10,15,8,1,18,1,14,2,18,1,8,1,10,24,8,1,10,8,8,2,10,3,8,1,18,2,8,1,10,1,8,2,18,2,8,2,18,1,14,12,15,3,14,2,3,1,14,29,15,1,8,2,10,5,8,2,15,1,14,17,17,1,14,23,15,4,8,4,15,4,14,14,3,1,17,1,3,1,14,5,3,4,14,19,3,10,14,2,18,1,10,7,18,1,3,2,14,34,15,1,14,8,15,7,14,5,15,3,8,1,15,6,18,2,8,5,18,1,8,1,18,2,15,3,14,2,18,4,15,7,14,5,18,6,8,30,10,1,8,8,18,1,14,2,8,48,18,5,8,4,10,7,8,48,18,3,8,13,18,6,8,16,10,5,8,9,10,88,8,2,10,4,8,10,10,37,8,4,10,31,8,2,10,1,4,2,19,5,4,86,19,7,4,3,10,18,4,6,10,1,9,1,10,8,8,2,10,18,8,7,10,5,8,2,10,2,8,5,10,89,8,2,10,12,8,1,10,7,8,3,10,24,8,3,10,3,8,5,10,10,8,8,10,8,8,27,10,14,8,3,10,106,8,2,10,96,8,4,10,75,4,2,19,14,4,9,19,5,4,3,10,1,8,2,10,27,8,1,10,4,8,4,10,7,4,506,},
{4,718,19,5,4,2,10,4,8,5,10,1,8,8,10,2,8,4,10,6,8,5,10,4,8,3,10,1,8,5,10,3,8,17,10,2,8,2,10,3,8,7,15,2,14,3,3,1,14,11,15,4,14,12,3,1,16,1,14,3,16,5,3,1,14,13,16,2,14,3,15,1,8,1,10,1,8,5,14,15,15,1,14,5,15,6,8,4,15,2,14,2,15,2,14,2,15,5,8,26,10,26,8,3,10,19,8,2,10,16,18,1,14,3,18,1,8,1,10,22,8,3,10,7,8,2,10,3,8,1,18,1,8,2,10,2,8,5,18,1,14,11,15,1,8,3,15,1,14,31,15,1,8,2,10,5,8,2,15,1,14,3,15,1,14,37,15,4,8,5,15,5,14,20,3,5,14,6,15,1,14,13,3,5,14,3,18,1,8,1,10,4,18,2,10,2,18,1,3,2,14,40,15,9,14,6,15,12,18,2,8,3,18,4,15,3,14,2,15,13,14,2,15,1,18,1,8,1,18,4,8,39,18,1,14,2,8,49,18,4,8,4,10,7,8,64,18,6,8,16,10,5,8,10,10,77,8,1,10,15,8,11,10,17,18,2,10,17,8,4,10,31,8,1,10,1,4,3,19,5,4,86,19,8,4,3,10,15,4,8,18,3,10,28,8,6,10,5,8,1,10,3,8,4,10,33,8,1,10,7,8,1,10,9,8,1,10,37,8,4,10,19,8,3,10,24,8,3,10,3,8,4,10,12,8,7,10,8,8,25,10,16,8,2,10,143,8,1,10,60,8,4,10,28,8,3,10,42,4,4,19,10,4,14,19,5,4,2,10,1,8,3,10,27,8,1,10,4,9,1,18,2,9,1,10,8,4,505,},
{4,718,19,5,4,1,10,4,8,14,10,3,8,7,10,4,8,4,10,4,8,2,10,3,8,4,10,3,8,17,10,2,8,2,10,3,8,1,18,1,8,5,18,1,15,2,14,2,3,2,14,11,15,2,14,13,16,3,3,1,14,1,3,1,16,2,3,1,14,4,15,6,14,5,3,2,14,3,15,1,10,2,8,3,15,2,14,20,15,5,8,8,15,4,14,2,15,2,14,2,15,1,8,7,15,1,18,2,8,16,10,26,8,3,10,37,8,1,18,1,3,2,14,1,18,1,10,10,8,3,10,5,8,8,10,21,8,2,15,1,14,9,15,1,8,5,15,1,14,29,15,2,8,2,10,5,8,1,15,1,14,4,15,1,14,36,15,4,8,6,15,7,14,13,3,3,14,3,3,3,14,6,15,3,14,18,18,1,8,1,10,5,18,1,3,1,18,1,10,2,18,1,3,3,14,21,15,5,14,7,15,1,14,2,15,9,14,9,15,11,14,1,15,1,18,4,15,1,18,3,15,3,14,7,15,10,18,1,8,45,18,1,14,1,18,1,8,57,10,7,8,64,18,6,8,15,10,6,8,11,10,93,8,12,10,15,18,1,10,10,18,1,10,7,8,4,10,33,4,3,19,4,4,88,19,8,4,3,10,14,4,2,19,5,4,5,10,28,8,3,10,12,8,3,10,33,8,3,10,5,8,1,10,8,8,2,10,3,8,4,10,30,8,4,10,19,8,4,10,23,8,3,10,3,8,4,10,13,8,5,10,8,8,23,10,19,8,2,10,143,8,1,10,38,8,2,10,20,8,4,10,28,8,4,10,41,4,4,19,10,4,14,19,5,4,1,10,2,8,2,10,28,8,1,10,4,9,1,18,2,9,1,10,7,4,506,},
{4,718,19,5,4,1,10,4,8,9,10,8,8,8,10,3,8,4,10,4,8,1,10,4,8,4,10,3,8,16,10,8,18,1,15,1,18,1,8,6,15,2,14,8,15,3,14,2,15,1,14,16,16,1,3,1,14,10,15,8,14,8,15,1,10,2,8,1,15,3,14,21,15,2,18,1,8,14,15,1,14,6,15,1,8,2,15,7,8,16,10,24,8,1,10,41,8,1,18,1,14,1,3,2,18,1,8,1,10,9,8,1,10,7,8,8,10,22,8,2,15,2,14,6,15,1,8,6,15,1,14,29,15,2,8,3,10,3,8,2,15,1,14,11,17,2,14,28,15,3,8,4,15,6,8,2,15,3,14,2,15,3,14,7,3,1,16,2,3,1,14,11,15,2,14,16,18,1,14,1,18,1,8,1,10,5,18,1,3,2,18,1,10,2,18,2,3,3,14,20,15,1,18,3,15,2,14,6,15,12,14,10,15,4,14,1,15,2,8,2,15,1,14,1,15,1,18,3,15,7,14,9,15,4,18,1,8,51,18,2,8,128,18,5,8,16,10,6,8,11,10,95,8,11,10,24,18,3,10,6,8,4,10,33,4,96,19,8,4,2,10,14,4,1,19,7,4,4,9,1,10,9,8,1,10,67,8,4,10,5,8,1,10,8,8,2,10,3,8,4,10,23,8,3,10,5,8,2,10,20,8,5,10,28,8,3,10,14,8,4,10,9,8,23,10,19,8,1,10,182,8,3,10,19,8,5,10,28,8,4,10,41,4,8,19,6,4,14,19,4,4,2,10,2,8,2,10,33,9,1,18,2,9,1,8,1,10,6,4,506,},
{4,719,19,4,4,1,10,4,8,8,10,8,8,9,10,3,8,4,10,2,8,3,10,5,8,3,10,3,8,15,10,9,18,1,15,1,8,8,15,2,14,2,15,4,8,3,18,1,15,4,14,22,15,13,14,8,15,1,10,2,8,1,14,22,18,1,15,2,18,1,8,6,10,5,8,5,15,1,14,5,15,3,14,2,15,2,14,3,15,1,18,1,8,4,18,4,8,5,10,25,8,2,10,41,8,1,18,1,3,2,14,1,18,1,10,17,8,14,10,17,8,3,15,1,14,5,15,1,8,7,15,1,14,29,15,2,18,1,8,5,15,1,14,11,17,1,16,1,17,1,14,27,15,4,8,1,15,10,8,2,15,8,14,6,17,1,16,3,3,1,14,10,15,3,14,12,18,1,8,5,10,5,18,1,3,4,18,1,10,1,8,1,18,1,3,3,14,20,15,1,18,3,15,1,14,7,15,1,14,6,15,4,14,11,15,2,14,4,15,1,8,2,15,3,18,3,15,7,14,9,15,4,18,1,8,5,18,2,8,172,18,1,8,3,18,2,8,17,10,6,8,12,10,96,8,9,10,23,18,4,10,6,8,3,10,34,4,97,19,7,4,2,10,13,4,2,19,7,4,4,10,4,8,1,10,4,8,3,10,5,8,2,10,18,8,1,10,40,8,4,10,19,8,3,10,23,8,5,10,4,8,2,10,20,8,4,10,30,8,1,10,8,8,2,10,4,8,5,10,3,8,7,10,4,8,3,10,3,8,5,10,2,8,4,10,118,8,1,10,23,8,2,10,59,8,4,10,17,8,6,10,29,8,1,10,39,9,1,10,3,4,8,19,5,4,15,19,4,4,2,10,37,9,1,8,1,10,1,9,1,8,1,10,6,18,1,4,505,},
{4,724,10,8,8,4,10,7,8,1,18,2,8,8,10,2,8,3,10,3,8,3,10,5,8,1,10,4,8,16,10,2,8,1,10,6,8,18,10,3,8,2,15,3,14,21,15,2,8,1,15,3,14,4,15,3,14,9,15,1,10,2,8,1,14,22,18,1,15,1,18,1,8,6,10,9,8,2,15,3,14,8,15,1,14,5,15,1,8,3,18,1,15,1,14,2,18,2,8,4,10,24,8,3,10,42,18,1,3,3,18,1,8,1,10,15,8,11,18,2,8,2,10,19,8,1,18,1,14,5,15,1,8,6,15,1,14,2,3,1,14,29,15,3,14,12,17,4,16,1,17,1,14,11,15,1,14,10,15,4,14,1,15,7,14,6,15,11,14,7,3,1,16,3,3,2,14,2,15,4,14,3,15,4,14,1,15,4,14,5,18,1,8,1,10,6,8,1,10,2,8,1,18,1,3,3,18,2,8,2,18,1,3,3,14,21,15,4,14,18,15,3,14,14,15,1,8,3,18,1,8,3,18,1,15,8,14,9,15,5,18,7,8,6,18,2,8,15,18,6,8,84,10,2,8,53,18,1,8,1,18,2,8,22,10,5,8,12,10,99,8,7,18,1,10,22,18,4,10,42,4,3,19,5,4,91,19,6,4,17,19,7,4,4,10,4,8,1,10,4,8,3,10,5,8,2,10,17,8,2,10,40,8,4,10,18,8,2,10,25,8,6,10,2,8,4,10,20,8,3,10,38,8,12,10,4,8,5,10,11,8,4,10,4,8,3,10,108,8,1,10,33,8,2,10,27,8,2,10,30,8,4,10,17,8,6,10,70,18,2,4,35,10,34,4,6,18,3,4,1,18,2,4,508,},
{4,724,10,18,8,2,18,2,8,8,10,2,8,3,10,3,8,2,10,11,8,15,10,2,8,1,10,6,8,4,18,1,15,5,8,14,15,3,14,5,15,1,14,12,15,3,8,5,15,2,14,3,15,6,14,2,15,1,14,3,15,1,8,2,15,1,14,21,15,1,18,2,8,6,10,11,8,2,15,2,14,8,15,1,14,6,15,2,18,1,15,1,14,3,18,3,8,3,10,25,8,2,10,42,8,1,14,1,3,2,18,1,8,1,10,15,8,4,10,2,8,2,18,3,14,2,18,1,8,1,10,20,8,1,15,1,14,5,15,1,8,5,15,1,14,36,3,1,14,9,17,1,16,2,17,2,16,1,17,1,14,16,17,1,14,13,15,3,14,9,15,8,14,9,3,4,14,3,15,4,14,4,15,2,14,1,15,3,8,2,15,5,8,2,10,5,18,5,3,4,14,2,18,1,8,1,18,1,3,3,14,53,15,3,14,4,15,1,8,2,18,3,8,1,18,2,15,7,14,10,15,5,18,1,15,2,18,1,8,8,18,4,8,6,18,2,8,10,18,1,8,75,10,2,8,3,18,2,8,3,10,3,8,7,10,1,8,71,10,3,8,12,10,106,8,1,10,65,4,6,19,8,4,89,19,6,4,17,19,7,4,4,10,4,8,1,10,4,8,3,10,5,8,2,10,17,8,3,10,40,8,3,10,44,8,14,10,20,8,2,10,38,8,5,10,2,8,5,10,3,8,6,10,11,8,4,10,4,8,3,10,10,8,1,10,7,8,7,10,82,8,4,10,7,8,1,10,23,8,2,10,26,8,3,10,30,8,4,10,19,8,4,10,65,4,42,10,33,9,1,4,1,19,4,4,515,},
{4,724,10,12,8,1,18,3,8,1,10,3,8,17,10,16,8,9,10,1,8,1,18,1,8,1,10,1,8,2,10,6,8,2,15,3,14,6,15,3,14,3,15,1,14,5,15,4,14,5,15,1,14,1,15,4,8,1,15,7,8,3,10,3,8,2,15,6,8,6,15,8,14,3,15,2,14,15,15,1,8,7,10,14,8,1,18,1,14,9,15,2,14,9,15,1,18,1,8,3,18,1,8,6,10,24,8,2,10,17,8,3,10,20,8,1,18,1,14,1,18,1,8,1,10,11,8,8,10,4,8,1,18,5,8,1,10,11,8,3,10,7,8,2,14,1,3,2,14,3,18,1,8,4,18,1,8,4,15,1,14,31,3,2,14,7,17,1,16,2,17,1,14,16,3,2,14,45,3,3,14,16,15,2,8,8,10,2,8,3,15,1,14,7,3,2,14,2,15,3,14,1,3,1,14,48,15,2,14,3,15,1,8,2,15,1,14,4,15,1,8,2,15,1,14,4,15,6,14,5,15,1,18,4,15,2,14,1,15,2,18,1,8,3,18,1,8,9,18,8,8,2,18,2,8,82,18,2,8,1,10,5,18,6,8,47,18,2,8,46,10,172,4,6,19,19,4,4,19,4,4,101,19,4,4,2,10,3,8,2,10,5,8,1,10,25,8,2,10,45,8,1,10,4,8,3,10,34,8,17,10,18,8,2,10,37,8,4,10,4,8,4,10,2,8,3,10,4,8,5,10,8,8,3,10,2,8,5,10,2,8,1,10,6,8,2,10,6,8,9,10,8,8,1,10,8,8,2,10,62,8,4,10,5,8,3,10,20,8,4,10,25,8,3,10,31,8,3,10,85,4,33,19,6,4,6,10,32,8,2,4,2,19,5,4,514,},
{4,724,10,2,8,3,10,7,18,5,8,1,10,3,8,17,10,15,8,6,18,2,8,1,10,3,18,1,10,8,8,2,15,1,14,17,3,3,14,2,15,2,14,5,15,5,8,3,15,6,8,4,10,3,8,2,15,5,8,3,10,1,8,2,9,1,8,1,15,4,14,6,15,1,18,2,15,1,18,1,14,4,15,2,14,5,15,1,8,4,10,18,8,2,15,1,14,8,15,2,14,3,7,1,14,5,18,1,8,13,10,22,8,3,10,16,8,2,10,21,8,1,18,3,10,11,8,5,10,1,8,1,10,6,8,2,18,3,8,2,10,11,8,3,10,8,8,1,14,2,3,1,14,4,18,1,8,1,10,2,8,2,10,2,8,2,14,6,15,2,14,8,18,3,14,21,17,1,16,2,14,6,16,2,3,1,14,7,3,3,14,66,15,3,8,2,10,1,8,4,15,1,14,67,15,2,14,3,8,3,15,1,14,3,15,1,8,3,15,1,14,5,15,2,8,2,15,2,14,4,15,1,8,4,18,1,15,1,14,1,15,2,18,1,8,3,18,1,8,9,18,8,8,1,18,3,8,81,18,3,8,1,10,1,8,3,10,1,18,9,8,44,18,2,8,46,10,22,8,4,9,3,8,2,10,141,4,5,19,20,4,3,19,5,4,101,19,4,4,2,10,4,8,1,10,83,8,3,10,31,8,5,10,5,8,10,10,18,8,3,10,20,8,3,10,13,8,3,10,4,8,5,10,2,8,3,10,4,8,6,10,9,8,4,10,2,8,5,10,6,8,2,10,5,8,10,10,8,8,1,10,8,8,3,10,61,8,4,10,25,8,6,10,20,8,1,10,5,8,2,10,31,8,4,10,51,8,1,10,29,8,2,10,2,4,5,19,3,4,24,19,8,4,3,10,34,8,1,18,1,4,1,19,6,4,514,},
{4,721,9,1,10,4,8,4,10,6,8,1,18,4,8,2,10,1,8,18,10,14,8,7,18,2,9,1,10,1,8,1,10,9,8,2,15,1,14,7,3,3,14,7,3,3,14,10,15,6,14,8,15,1,8,8,15,1,14,3,7,1,15,1,8,2,10,1,8,2,10,1,9,1,15,3,14,7,15,1,8,4,18,1,14,3,15,1,18,1,15,1,14,4,15,1,8,3,10,19,8,3,15,1,14,7,15,2,14,2,7,2,15,1,7,2,15,2,8,14,10,22,8,3,10,5,8,1,10,32,8,1,18,3,8,1,10,10,8,2,18,1,8,2,10,10,8,1,18,3,8,2,10,5,8,3,10,3,8,2,10,9,8,1,14,7,15,1,8,1,10,6,8,1,15,1,7,1,14,5,15,6,18,7,14,4,15,4,14,32,3,3,14,70,8,2,15,4,14,68,15,2,14,2,15,2,8,2,15,1,14,2,15,2,8,2,15,2,14,4,15,2,8,3,15,3,14,3,15,2,18,4,15,1,14,2,15,1,18,4,15,1,18,1,8,8,18,4,8,2,18,2,8,1,18,3,8,81,18,4,10,1,8,3,10,2,18,10,8,5,10,3,8,4,10,3,8,75,10,18,18,1,10,1,18,3,9,2,18,4,9,1,8,1,10,141,4,5,19,20,4,2,19,6,4,101,19,4,4,2,10,123,8,4,10,5,8,9,10,5,8,2,10,13,8,1,10,20,8,6,10,4,8,4,10,4,8,3,10,3,8,5,10,2,8,3,10,5,8,5,10,15,8,5,10,6,8,2,10,5,8,10,10,8,8,1,10,8,8,3,10,60,8,5,10,7,8,2,10,1,8,1,10,6,8,1,10,7,8,6,10,27,8,1,10,31,8,5,10,50,8,2,10,26,8,5,9,1,4,2,19,6,4,24,19,7,4,2,10,37,4,2,19,6,4,514,},
{4,720,8,11,10,6,18,4,8,2,10,1,8,18,10,12,8,9,9,1,18,1,10,1,18,2,8,1,10,8,8,2,14,4,15,1,14,2,3,4,14,6,3,3,14,12,15,3,14,11,15,2,8,1,15,2,8,3,15,1,14,5,8,2,10,1,8,2,9,1,8,1,15,1,14,7,3,1,14,1,15,1,8,4,18,1,14,3,15,1,18,1,8,1,15,5,8,3,10,19,8,3,18,1,14,7,15,2,14,2,15,1,8,4,18,1,8,15,10,22,8,2,10,5,8,3,10,31,8,1,18,1,14,1,18,1,8,1,10,8,8,1,10,1,8,2,18,1,8,2,10,10,8,3,18,1,8,2,10,4,8,2,18,2,8,1,10,13,8,1,15,1,14,2,15,5,8,1,10,5,8,2,15,2,14,4,15,3,8,11,15,1,14,1,15,2,18,1,8,2,15,1,14,54,17,2,16,3,17,2,14,2,17,2,16,1,14,114,15,10,8,3,15,4,14,3,15,3,8,2,15,4,18,1,15,5,18,1,15,2,14,3,15,5,18,1,8,8,18,4,8,1,10,2,8,2,18,3,8,80,18,4,8,1,10,2,8,1,18,1,8,1,10,6,8,2,18,3,8,6,10,2,8,4,10,3,8,16,18,1,8,58,10,12,4,11,18,6,9,1,8,2,10,84,18,3,10,53,4,5,19,20,4,2,19,6,4,101,19,4,4,1,10,115,8,2,10,7,8,2,10,8,8,7,10,3,8,5,10,13,8,1,10,13,8,2,10,5,8,15,10,5,8,8,10,3,8,3,10,6,8,5,10,18,8,1,10,6,8,2,10,6,8,8,10,18,8,2,10,61,8,3,10,5,8,2,10,3,8,4,10,13,8,5,10,19,8,1,10,40,8,8,10,47,8,2,10,25,8,2,9,1,18,4,4,1,19,7,4,24,19,7,4,2,10,30,8,1,10,6,4,2,19,6,4,514,},
{4,720,9,1,8,13,10,3,8,1,18,3,8,1,10,3,8,6,18,5,8,5,10,12,8,12,10,1,3,2,18,1,10,9,8,1,14,4,15,1,14,2,3,4,14,7,3,1,14,22,15,2,14,7,8,2,10,1,8,2,14,5,15,1,8,5,15,1,14,11,15,3,8,1,18,1,14,3,15,1,18,1,8,2,15,3,8,4,10,19,8,3,18,1,14,6,15,1,8,2,15,1,14,1,15,1,8,20,10,22,8,2,10,39,18,1,14,2,18,1,10,12,8,3,10,11,8,3,18,1,8,2,10,4,8,2,18,2,8,1,10,14,8,1,15,3,8,3,18,1,8,2,10,4,8,2,15,2,14,3,15,3,8,7,10,3,8,2,18,1,14,2,15,1,18,3,15,1,14,22,17,1,3,1,14,9,15,2,14,19,17,1,16,4,17,5,16,2,17,1,14,31,3,1,14,82,15,4,14,3,15,1,8,4,15,5,14,1,15,4,8,2,15,2,18,3,15,7,14,4,15,4,14,1,15,1,8,8,18,4,8,1,10,3,8,1,18,3,8,80,18,4,8,1,10,2,8,1,18,2,8,3,10,6,8,14,10,3,8,16,18,1,8,58,10,12,4,11,18,6,9,1,8,1,10,84,18,4,10,53,4,17,19,5,4,5,19,6,4,101,19,4,4,1,10,116,8,2,10,16,8,7,10,3,8,5,10,25,8,5,10,4,8,15,10,5,8,7,10,4,8,3,10,6,8,6,10,24,8,1,10,7,8,7,10,45,8,2,10,34,8,3,10,5,8,3,10,3,8,4,10,13,8,5,10,19,8,2,10,37,8,10,10,46,8,4,10,24,8,2,18,5,4,1,19,7,4,24,19,7,4,2,10,30,8,1,10,6,4,2,19,6,4,514,},
{4,720,8,15,10,3,8,1,18,2,8,1,10,4,8,5,18,7,8,3,10,10,8,14,10,1,3,2,18,1,10,2,18,1,10,6,8,1,14,7,3,3,14,3,15,1,14,21,16,3,14,2,15,3,14,3,3,2,14,2,8,1,10,3,8,1,15,1,14,5,15,1,8,3,15,1,14,15,15,2,14,3,15,1,18,1,8,1,15,3,8,4,10,22,8,1,18,1,14,6,15,1,8,2,15,1,14,1,18,1,8,20,10,63,18,1,14,2,8,1,10,12,8,3,10,10,8,3,18,3,8,1,10,5,8,4,10,14,8,2,15,1,8,9,10,1,8,2,15,4,14,2,15,1,8,1,15,1,8,2,10,1,8,3,10,5,8,2,18,1,15,2,18,2,8,2,18,2,14,20,17,2,14,8,15,1,8,2,15,1,14,18,17,1,16,4,17,5,16,3,3,1,14,18,15,1,14,10,3,2,14,4,3,1,14,77,15,1,8,1,15,2,14,2,15,1,8,4,15,2,14,1,15,10,8,1,15,1,8,3,18,1,15,7,14,3,15,3,14,2,15,1,8,8,18,4,8,1,10,3,8,1,18,3,8,80,18,4,8,1,10,2,8,5,18,2,8,2,10,6,8,12,10,2,8,75,10,7,8,1,10,4,4,12,18,4,9,1,8,1,10,47,8,2,10,92,4,19,19,1,4,8,19,6,4,100,19,5,4,1,10,135,8,5,10,5,8,3,10,24,8,7,10,4,8,15,10,6,8,5,10,5,8,3,10,7,8,12,10,26,8,3,10,83,8,4,10,3,8,5,10,3,8,3,10,14,8,4,10,20,8,2,10,42,8,6,10,45,8,7,10,21,8,2,18,4,4,2,19,7,4,24,19,6,4,3,10,30,8,1,10,6,4,2,19,6,4,514,},
{4,719,10,1,8,4,10,3,8,8,10,3,8,4,10,5,8,4,18,6,8,4,10,9,8,15,10,1,18,1,8,1,10,2,18,2,10,6,8,1,14,6,3,4,14,2,15,2,14,21,17,1,16,2,14,3,15,1,14,5,3,1,14,1,15,1,8,1,10,3,8,1,15,1,14,6,15,1,8,1,15,1,14,21,15,1,18,2,15,3,8,2,10,24,8,2,15,1,14,5,15,1,8,2,15,1,14,1,18,1,8,20,10,7,8,1,10,47,8,2,10,6,18,1,14,1,18,1,8,1,10,25,8,2,18,1,15,1,14,1,18,1,8,2,10,23,8,14,15,1,14,1,15,2,14,1,15,2,8,3,10,11,8,2,18,4,8,5,14,19,17,2,3,1,14,7,8,3,15,1,14,19,17,5,14,3,17,2,16,2,3,3,14,16,15,1,14,10,3,2,14,74,15,2,14,6,15,1,8,1,15,1,14,3,15,1,8,4,15,1,14,2,15,12,18,4,15,13,14,2,15,1,8,8,18,4,10,5,18,3,8,81,18,3,8,1,10,6,8,1,18,3,8,3,10,5,8,12,10,1,8,75,10,6,8,3,10,3,4,13,18,1,9,2,10,49,8,3,10,86,4,7,19,2,4,131,19,4,4,1,10,11,8,2,10,110,8,3,10,9,8,5,10,5,8,3,10,19,8,11,10,5,8,14,10,7,8,5,10,5,8,2,10,9,8,14,10,109,8,3,10,3,8,5,10,4,8,2,10,15,8,4,10,65,8,5,10,45,8,8,10,5,8,1,10,15,8,1,9,1,18,2,4,3,19,7,4,24,19,6,4,2,10,38,4,1,19,7,4,514,},
{4,718,10,2,8,3,10,6,8,6,10,3,8,3,10,5,8,5,18,3,8,7,10,8,8,17,10,3,18,1,9,1,10,6,8,1,15,1,14,6,3,3,14,2,15,3,14,17,17,1,14,4,16,3,14,10,15,1,8,1,10,2,8,1,15,2,14,1,15,2,14,4,7,1,14,22,15,2,14,2,15,1,8,2,10,26,8,2,15,1,14,4,15,1,8,2,18,2,8,3,10,3,8,11,18,1,8,4,10,5,8,2,10,47,8,2,10,5,8,1,18,1,14,1,18,1,8,2,10,23,8,1,18,3,14,1,15,1,18,1,8,1,10,19,8,4,10,2,8,8,15,4,14,3,15,5,8,3,10,13,8,6,10,2,8,1,15,1,14,19,3,3,14,5,15,1,8,3,14,8,15,4,14,20,3,3,14,16,15,1,14,11,3,1,14,4,3,2,14,54,15,1,14,12,15,4,14,4,15,1,8,2,15,1,14,3,15,1,8,3,15,1,14,3,15,28,14,3,15,1,8,8,18,4,10,5,18,3,8,81,18,2,8,4,10,6,8,5,10,6,8,86,10,7,8,3,10,3,4,13,10,53,8,1,10,24,8,3,10,57,4,10,19,2,4,131,19,4,4,1,10,123,8,4,10,8,8,4,10,28,8,10,10,6,8,6,10,15,8,5,10,5,8,2,10,14,8,6,10,2,8,1,10,109,8,3,10,2,8,5,10,3,8,3,10,16,8,5,10,64,8,5,10,44,8,9,10,5,8,1,10,16,8,2,9,1,4,3,19,7,4,24,19,6,4,2,10,37,4,2,19,7,4,514,},
{4,710,19,3,4,5,10,12,8,3,10,4,8,5,10,3,8,5,18,2,8,7,10,9,8,15,10,1,18,3,9,1,18,2,10,7,8,1,15,1,14,5,3,2,14,3,15,3,14,17,17,2,14,4,16,6,17,1,14,7,15,1,8,2,15,1,14,3,15,1,8,1,15,1,14,17,15,3,14,5,15,1,14,4,15,1,8,1,10,29,8,1,15,1,14,3,15,2,8,5,10,4,8,6,18,7,8,4,10,3,8,3,10,10,8,2,10,5,8,2,10,35,8,1,18,1,14,2,18,1,8,2,10,11,8,3,10,8,8,1,15,1,18,5,8,1,10,14,8,6,15,3,8,1,10,2,8,1,15,3,8,3,18,1,15,1,14,6,15,4,8,3,10,21,8,1,15,1,14,19,3,5,14,2,15,2,8,2,15,1,14,4,15,1,8,6,15,1,14,20,3,3,14,16,15,1,14,11,3,1,14,61,15,1,14,11,15,5,14,3,15,1,8,2,15,1,14,3,15,1,8,2,15,1,14,5,15,21,18,2,15,5,14,2,15,1,18,1,8,7,18,4,10,2,18,2,10,1,8,1,18,3,8,90,10,13,8,86,10,7,8,2,10,4,4,8,19,1,4,5,10,65,8,1,10,11,8,4,10,56,4,6,19,6,4,130,19,5,4,2,10,83,8,2,10,37,8,5,10,5,8,3,10,5,8,2,10,27,8,5,10,8,8,6,10,15,8,5,10,21,8,3,10,115,8,2,10,3,8,4,10,2,8,6,10,4,8,2,10,9,8,5,10,21,8,1,10,43,8,4,10,42,8,11,10,23,8,1,9,1,4,2,19,8,4,24,19,5,4,3,10,38,4,1,19,7,4,514,},
{4,710,19,5,4,2,10,20,8,5,10,2,8,6,18,1,8,5,10,8,8,2,10,1,8,16,10,2,18,2,9,2,10,8,8,1,15,1,14,8,15,4,14,4,3,2,14,7,15,1,14,3,16,2,14,4,17,1,16,8,17,1,14,12,15,1,8,1,15,1,14,16,15,1,18,1,8,1,18,2,15,4,14,5,18,1,8,1,10,29,8,2,15,5,8,4,10,5,8,9,18,4,8,4,10,3,8,3,10,9,8,4,10,41,18,1,14,3,18,2,8,1,10,11,8,7,10,4,18,1,15,1,18,1,8,4,10,3,8,3,10,9,18,1,14,3,15,2,14,3,18,1,10,2,8,1,15,1,14,2,18,1,8,3,15,1,14,6,15,4,8,2,10,23,8,1,15,1,14,19,3,1,16,1,3,2,14,2,15,4,14,4,8,9,15,1,14,2,3,2,14,15,3,3,14,29,3,4,14,19,17,2,14,5,17,1,14,2,3,1,14,40,15,4,14,2,15,5,14,2,15,1,8,2,15,2,14,5,15,22,18,1,15,7,18,2,8,8,18,2,8,1,10,2,18,2,10,1,8,1,18,3,8,86,18,3,8,2,18,2,8,3,10,6,8,87,10,7,8,1,10,4,18,1,4,7,19,5,4,2,10,1,18,1,8,1,10,62,8,1,10,11,8,4,10,18,8,3,10,34,4,4,19,9,4,130,19,5,4,2,10,82,8,3,10,37,8,13,10,4,8,4,10,27,8,2,10,10,8,6,10,15,8,5,10,139,8,2,10,2,8,5,10,2,8,4,10,4,8,5,10,7,8,7,10,20,8,1,10,43,8,4,10,41,8,10,10,26,9,1,4,2,19,8,4,24,19,3,4,5,10,37,4,2,19,7,4,514,},
{4,710,19,5,4,2,10,20,8,5,10,2,8,3,18,1,8,6,10,9,8,3,10,1,8,16,10,13,8,2,15,1,14,6,15,2,8,2,15,2,14,4,3,1,17,1,14,10,16,3,14,2,16,10,17,3,3,1,16,1,3,1,14,4,17,1,16,1,14,2,15,2,14,17,15,1,18,1,8,2,18,1,8,1,18,2,15,1,14,5,8,1,10,31,8,5,15,1,8,2,10,6,8,11,18,2,8,5,10,15,8,5,10,9,8,1,10,6,18,2,10,15,8,1,10,5,8,1,18,1,14,5,8,1,10,12,8,4,18,2,8,2,10,1,8,1,18,2,8,1,10,7,8,1,18,1,8,2,10,7,8,1,18,1,14,8,15,1,8,1,10,1,8,1,15,3,8,1,10,2,8,2,15,5,14,1,15,2,8,1,15,1,8,2,10,23,8,2,15,1,14,9,17,1,14,8,3,4,14,1,15,1,8,2,15,1,14,4,15,1,8,1,10,4,8,4,15,1,14,2,3,3,14,8,17,1,14,5,3,3,14,20,3,1,14,8,3,4,14,18,17,1,16,1,17,1,14,5,17,1,14,1,3,3,14,39,15,4,14,2,15,4,14,3,15,1,8,2,15,1,14,6,15,18,14,2,15,2,18,3,15,4,18,3,8,8,18,2,8,2,10,1,18,2,10,2,18,3,8,86,18,9,8,2,10,5,8,87,10,11,9,1,4,8,19,5,4,2,10,1,18,2,10,65,8,1,10,8,8,4,10,18,8,2,10,29,4,9,19,10,4,130,19,5,4,3,10,81,8,3,10,36,8,14,10,4,8,4,10,5,8,1,10,20,8,3,10,10,8,6,10,15,8,7,10,1,8,2,10,126,8,1,10,6,8,1,10,4,8,3,10,4,8,2,10,5,8,6,10,6,8,9,10,54,8,1,10,9,8,3,10,41,8,5,10,32,4,2,19,8,4,24,19,3,4,1,18,1,10,40,4,2,19,5,4,516,},
{4,709,19,6,4,1,10,21,8,4,10,3,8,10,10,8,8,4,10,1,8,15,10,14,8,1,15,2,14,4,15,2,8,4,15,2,14,5,3,1,14,9,17,1,16,3,17,1,14,1,16,4,17,3,16,8,17,1,14,4,16,2,17,1,14,20,18,5,8,2,18,1,15,1,14,4,15,1,8,1,10,21,8,17,10,6,8,5,18,5,8,10,10,13,8,6,10,9,8,1,10,6,18,3,10,13,8,2,10,5,8,1,14,5,18,1,8,1,10,13,8,2,18,2,14,1,18,1,8,3,18,2,10,8,8,1,14,2,18,1,10,7,8,1,18,1,14,7,15,2,8,4,15,1,8,1,10,4,8,5,15,6,8,2,10,24,8,2,15,1,14,7,3,1,14,10,3,2,14,2,15,1,8,2,15,1,14,2,15,1,8,2,10,4,8,4,15,1,14,4,3,3,14,5,17,1,16,2,17,1,14,4,3,2,14,20,3,1,14,10,3,2,14,19,17,1,16,1,17,1,14,4,17,1,14,3,3,1,14,40,15,4,14,1,15,11,14,7,15,18,14,3,15,1,18,7,8,12,18,2,8,1,10,5,8,1,18,4,8,84,18,3,8,1,18,5,8,51,18,1,8,42,10,11,18,1,4,8,19,5,4,2,10,1,18,2,10,65,8,4,10,5,8,4,10,48,4,10,19,9,4,131,19,5,4,5,10,79,8,4,10,35,8,14,10,4,8,5,10,4,8,1,10,6,8,1,10,12,8,5,10,10,8,5,10,16,8,9,10,97,8,1,10,28,8,8,10,19,8,5,10,6,8,9,10,65,8,2,10,42,8,4,10,30,8,1,9,1,4,2,19,8,4,24,19,3,4,1,10,40,4,3,19,5,4,516,},
{4,709,19,5,4,2,10,21,8,4,10,3,8,10,10,7,8,5,10,1,8,14,10,14,8,2,14,6,15,2,8,4,15,1,14,9,15,1,14,6,17,1,16,3,17,1,14,1,17,1,16,1,17,3,16,8,17,2,14,5,16,2,14,20,15,1,18,3,15,1,18,1,8,1,18,2,14,4,18,1,8,2,10,20,8,5,18,1,15,2,18,1,8,9,10,6,8,5,18,5,8,11,10,12,8,6,10,17,18,1,10,12,8,4,10,5,8,1,14,4,18,2,8,1,10,14,8,1,18,1,14,3,18,1,8,2,18,1,8,1,10,8,8,1,14,3,8,1,10,6,8,2,15,1,14,6,15,5,8,2,10,5,8,2,10,2,8,1,15,6,8,2,10,11,8,3,10,11,8,1,15,2,14,17,3,1,14,3,15,4,14,2,8,1,10,5,8,2,15,1,14,7,3,3,14,4,3,1,17,1,16,2,17,1,14,33,3,1,14,24,17,2,14,4,17,2,14,44,15,15,14,9,15,5,14,3,15,9,14,2,15,2,18,6,8,13,18,3,10,5,8,1,18,6,8,103,10,2,8,35,18,4,8,41,10,6,8,1,10,4,18,1,4,7,19,6,4,1,10,2,8,3,10,60,8,8,10,6,8,2,10,14,8,1,10,34,4,3,19,4,4,3,19,6,4,135,19,6,4,3,10,16,8,2,10,32,8,1,10,28,8,4,10,35,8,8,10,3,8,3,10,3,8,6,10,3,8,3,10,4,8,2,10,10,8,8,10,9,8,4,10,18,8,8,10,127,8,7,10,8,8,1,10,11,8,3,10,8,8,7,10,111,8,2,10,31,8,1,10,1,4,2,19,8,4,24,19,2,4,2,10,28,8,3,10,9,4,3,19,5,4,516,},
{4,709,19,4,4,3,10,9,8,6,10,3,8,2,10,2,8,3,10,3,8,5,10,3,8,2,10,6,8,20,10,14,8,1,15,3,14,4,15,3,8,1,15,3,14,9,15,2,14,7,17,1,16,2,17,1,14,3,17,1,16,3,17,3,16,4,17,1,14,28,15,1,18,2,15,1,14,2,18,2,14,2,15,1,18,1,8,3,10,20,8,2,18,5,14,2,15,1,8,9,10,7,8,4,18,7,8,9,10,13,8,4,10,26,18,1,10,3,8,4,10,5,8,1,18,1,14,4,18,1,8,1,10,15,8,1,18,1,14,2,18,4,14,1,18,1,10,8,8,1,15,1,14,2,8,1,10,7,8,2,18,1,14,5,15,2,14,2,15,1,8,2,10,9,8,2,15,2,14,2,15,1,8,3,10,12,8,2,10,11,8,2,15,1,14,26,8,1,10,4,8,2,14,15,3,2,17,3,3,1,14,32,3,2,14,24,17,1,14,4,17,1,16,2,14,43,15,9,14,2,15,1,8,2,15,2,14,10,15,2,14,6,15,5,18,1,15,2,14,2,15,2,18,1,8,14,18,1,8,3,18,4,10,4,8,1,18,7,8,102,10,2,8,35,18,5,8,40,10,6,8,1,10,4,18,1,4,6,19,6,4,2,10,2,8,7,10,56,8,9,10,21,8,1,10,31,4,5,19,6,4,2,19,5,4,136,19,7,4,3,10,14,8,4,10,31,8,2,10,14,8,1,10,8,8,1,10,4,8,3,10,20,8,4,10,10,8,6,10,7,8,17,10,3,8,3,10,5,8,2,10,3,8,11,10,7,8,3,10,20,8,6,10,39,8,1,10,88,8,7,10,7,8,2,10,12,8,1,10,10,8,4,10,145,8,1,10,1,4,1,19,9,4,28,10,28,8,3,10,4,8,2,10,3,4,2,19,6,4,516,},
{4,708,19,5,4,2,10,9,8,7,10,3,18,1,8,1,10,2,8,3,10,3,8,5,10,3,8,2,10,5,8,21,10,13,8,1,15,2,8,1,15,1,14,3,15,5,14,11,15,3,14,2,17,2,14,5,17,1,14,3,17,1,16,4,14,3,17,1,16,4,17,1,14,9,17,1,16,1,17,1,14,15,15,1,8,1,18,2,15,3,14,3,18,1,8,1,10,23,8,2,18,5,14,1,15,1,18,1,8,7,15,1,8,1,10,9,8,3,18,9,8,7,10,12,8,4,10,29,8,1,18,2,8,1,10,2,18,1,10,2,8,1,18,3,14,3,18,1,10,16,8,1,18,1,14,2,8,2,18,1,14,2,18,1,10,3,8,2,10,3,8,1,18,1,14,2,8,1,10,9,8,1,15,1,14,4,15,2,14,1,3,1,15,1,8,5,10,3,8,6,15,1,14,2,15,1,8,3,10,25,8,2,15,1,14,11,3,1,14,12,3,1,14,1,8,1,10,4,8,1,15,1,14,53,3,3,14,3,3,1,14,24,16,3,14,39,15,12,14,3,15,1,8,2,15,1,14,20,15,4,18,1,15,2,14,1,15,2,18,1,8,14,18,2,8,3,18,2,14,1,18,2,10,3,8,1,18,7,8,12,18,2,8,65,18,1,8,22,10,2,8,35,18,4,8,40,10,7,8,1,10,4,9,1,4,6,19,6,4,2,10,1,8,1,10,1,8,6,10,59,8,1,18,3,8,2,10,22,8,2,10,26,4,8,19,6,4,144,19,7,4,5,10,13,8,3,10,30,8,2,10,13,8,3,10,6,8,5,10,13,8,2,10,8,8,5,10,10,8,5,10,8,8,15,10,5,8,4,10,4,8,2,10,5,8,12,10,4,8,2,10,21,8,5,10,40,8,1,10,90,8,5,10,3,8,1,10,1,8,1,10,4,8,1,10,10,8,3,10,8,8,1,10,117,8,1,10,13,8,1,10,16,8,1,9,1,4,1,19,9,4,27,18,1,10,28,8,3,10,3,8,4,10,2,4,2,19,6,4,516,},
{4,708,19,5,4,1,10,11,8,3,10,6,8,2,10,2,8,4,10,3,8,4,10,10,8,21,10,12,8,1,14,3,15,2,14,3,15,3,14,13,15,3,14,13,17,1,16,3,17,1,14,4,16,4,17,1,14,10,17,2,14,15,15,1,18,3,15,2,18,4,8,1,10,24,8,2,18,3,8,2,15,1,18,1,8,8,14,1,15,1,10,10,8,3,18,9,8,7,10,10,8,5,10,29,8,1,18,2,8,1,10,5,8,1,18,2,14,3,18,1,8,1,10,15,8,1,18,2,14,1,18,1,8,1,18,1,14,1,3,1,14,2,8,5,10,4,8,1,14,2,18,1,8,1,10,9,8,1,14,4,15,1,14,3,15,1,8,2,15,2,8,1,10,4,8,1,18,1,8,2,15,1,14,3,8,8,10,22,8,1,15,1,14,15,3,1,14,5,3,1,14,1,3,2,14,1,15,1,8,4,15,1,14,54,3,2,14,4,3,1,14,24,16,2,17,1,14,39,15,10,14,4,15,1,8,3,15,1,14,21,15,3,18,1,15,4,18,1,8,16,18,1,8,2,18,5,8,1,10,4,18,7,8,8,18,4,8,91,10,1,8,79,10,6,8,1,10,5,9,1,4,6,19,5,4,3,10,4,8,5,10,59,8,6,10,50,4,3,19,11,4,144,19,9,4,3,10,11,8,6,10,45,8,2,10,5,8,6,10,13,8,5,10,5,8,5,10,12,8,5,10,6,8,5,10,3,8,8,10,5,8,2,10,5,8,2,10,7,8,11,10,4,8,1,10,22,8,3,10,127,8,3,10,3,8,10,10,3,8,3,10,171,4,1,19,9,4,26,10,30,8,3,10,3,8,3,10,3,4,2,19,6,4,516,},
{4,708,19,5,4,1,10,22,8,6,10,5,8,5,10,9,8,11,18,1,8,3,10,4,8,1,10,11,8,1,14,8,15,2,14,13,15,2,14,10,17,1,14,4,17,5,14,3,17,2,16,3,17,1,14,27,15,1,18,1,15,1,18,1,14,1,15,1,18,1,8,3,10,25,8,4,18,1,8,7,15,2,18,1,8,2,15,2,8,1,10,4,8,3,10,4,8,3,18,6,8,8,10,6,8,9,10,30,8,2,10,5,8,2,18,1,14,1,3,2,14,1,18,1,10,16,18,6,14,1,3,2,14,3,18,4,8,2,10,2,8,1,18,1,14,1,18,1,8,4,10,6,18,1,14,1,3,1,14,5,15,1,8,2,14,2,15,1,8,1,10,4,8,4,15,1,14,2,18,1,8,1,10,1,8,2,18,1,15,1,18,1,8,2,10,21,8,1,15,1,14,13,3,2,16,2,3,1,14,8,15,1,18,1,8,3,14,7,3,2,14,15,3,2,14,20,3,1,14,8,3,1,17,1,14,15,17,4,14,8,17,4,14,40,15,7,14,6,15,1,8,3,15,1,14,4,15,2,14,3,15,3,14,11,15,7,18,1,8,18,18,5,8,1,10,5,18,1,14,1,3,1,18,3,8,1,18,4,8,4,18,4,8,5,18,4,8,14,10,3,8,152,10,6,4,12,10,6,8,4,10,116,4,2,19,12,4,145,19,10,4,1,10,4,8,2,10,5,8,4,10,55,8,5,10,14,8,5,10,5,8,3,10,14,8,5,10,5,8,4,10,4,9,3,8,5,10,17,8,1,10,6,8,9,10,2,8,5,10,19,8,2,10,4,8,1,10,10,8,3,10,2,8,4,10,103,8,8,10,22,8,1,10,152,8,1,10,10,4,2,19,8,4,25,18,1,8,1,10,40,4,2,19,7,4,516,},
{4,708,19,4,4,2,10,6,8,2,10,15,8,6,10,4,8,5,10,4,8,2,10,4,8,11,10,7,8,1,10,10,8,2,14,15,15,2,14,5,15,1,8,1,15,1,14,10,17,1,14,4,17,1,14,2,17,2,14,36,15,3,18,1,15,2,8,3,10,24,8,3,10,1,8,6,10,2,8,1,18,1,15,2,8,3,15,2,8,1,10,3,8,5,10,3,8,3,18,6,8,8,10,5,8,10,10,6,8,2,10,3,8,1,18,2,10,16,8,2,10,4,8,1,18,3,14,1,3,2,14,1,8,1,10,15,8,1,18,5,14,8,15,1,18,3,8,2,10,2,8,1,15,1,18,2,15,1,18,1,8,3,10,4,15,1,14,1,3,1,14,4,15,1,8,3,14,2,18,1,8,1,10,4,8,2,10,1,8,1,15,1,14,1,15,1,8,1,10,2,8,2,14,2,15,1,18,1,8,2,10,5,8,1,10,13,8,2,15,2,14,13,3,1,16,2,3,1,14,6,15,1,18,1,15,1,18,1,8,2,18,1,14,7,3,2,14,14,3,4,14,19,3,1,14,7,3,1,17,2,14,14,17,2,16,3,17,2,14,4,17,1,16,3,17,1,14,41,15,7,14,5,15,1,8,4,15,1,14,3,15,3,14,3,15,1,8,1,15,1,14,3,15,4,14,5,15,6,18,1,8,11,18,2,8,5,18,3,8,2,10,6,8,1,18,11,8,1,18,7,8,22,10,4,8,151,10,7,4,9,10,8,8,2,10,116,4,4,19,11,4,148,19,8,4,2,10,4,8,1,10,5,8,3,10,21,8,1,10,8,8,2,10,7,8,3,10,14,8,4,10,16,8,4,10,3,8,2,10,17,8,5,10,6,8,3,10,4,9,1,18,2,8,2,10,1,8,2,10,17,8,1,10,7,8,11,10,1,8,6,10,6,8,3,10,25,8,3,10,2,8,5,10,100,8,9,10,19,8,5,10,151,8,1,10,9,4,3,19,8,4,25,18,1,10,20,8,2,10,19,4,2,19,6,4,517,},
{4,708,19,2,4,4,10,6,8,3,10,9,8,3,10,2,8,7,10,2,8,4,10,6,8,2,10,4,8,11,10,7,8,1,10,10,8,1,15,1,14,15,15,2,14,6,15,2,14,19,17,1,14,36,15,2,18,4,8,4,10,23,8,11,10,1,8,2,15,2,8,6,10,3,8,5,10,3,8,2,18,3,14,2,18,2,8,8,10,4,8,5,10,35,8,3,10,4,8,1,18,3,14,1,3,2,14,1,8,1,10,16,8,1,18,4,14,2,18,1,8,2,18,2,14,1,18,5,8,1,10,2,8,1,18,1,14,3,15,1,18,1,8,3,10,2,8,1,15,1,14,1,3,1,14,3,15,2,8,1,15,2,14,1,15,1,18,1,8,1,10,4,9,1,8,1,10,1,8,2,15,1,18,1,8,4,15,1,14,2,15,2,18,1,8,2,10,18,8,2,15,2,14,14,3,2,14,6,18,1,8,2,18,2,8,2,18,1,15,1,14,2,15,2,14,18,3,5,14,27,17,2,14,15,17,2,16,1,17,3,14,3,17,1,16,4,17,2,14,40,15,9,14,2,15,2,8,4,15,1,14,4,15,2,14,3,15,2,14,4,15,4,14,6,15,5,18,2,8,11,18,2,8,4,18,4,8,2,10,7,8,2,18,13,8,1,18,2,14,2,18,2,8,2,10,3,8,168,10,21,8,1,10,113,4,10,19,9,4,152,19,8,4,3,10,7,8,2,10,22,8,4,10,6,8,2,10,6,8,5,10,4,8,2,10,9,8,1,10,18,8,11,10,14,8,5,10,7,8,2,10,4,9,1,18,2,8,2,10,1,8,2,10,25,8,8,10,16,8,3,10,31,8,1,10,103,8,9,10,12,8,2,10,5,8,5,10,9,8,6,10,136,8,1,10,8,4,4,19,14,4,13,19,5,4,1,18,1,9,1,10,19,8,2,10,18,4,3,19,5,4,518,},
{4,705,19,5,4,4,10,1,8,3,10,2,8,7,10,5,8,3,10,3,8,10,10,8,8,2,10,3,8,12,10,16,8,2,18,1,15,1,14,15,15,1,14,7,15,2,14,56,15,1,18,1,8,8,10,22,8,12,10,1,8,10,10,2,8,6,10,3,8,2,18,7,8,9,10,4,8,4,10,34,8,3,10,4,8,1,18,1,14,1,18,1,14,1,3,2,14,1,18,1,10,17,8,2,18,5,8,1,10,2,8,2,18,2,14,3,18,1,8,4,18,1,14,3,18,3,8,2,10,2,8,1,15,1,14,1,3,1,14,3,15,1,8,2,14,2,15,1,8,5,9,1,10,4,8,4,15,3,14,5,15,2,18,1,8,3,10,16,8,1,15,1,14,11,3,2,14,8,15,2,18,1,8,3,18,2,8,3,18,1,15,2,18,2,15,1,14,17,3,6,14,26,17,2,14,15,17,10,16,5,17,1,14,40,15,12,8,4,15,1,14,16,15,4,14,6,15,1,18,8,8,9,18,9,8,4,10,8,8,2,18,10,8,3,18,1,14,2,18,1,8,1,10,5,8,168,10,20,8,4,10,110,4,5,19,15,4,152,19,9,4,3,10,4,8,4,10,22,8,4,10,6,8,3,10,4,8,13,10,27,8,11,10,8,8,2,10,5,8,5,10,2,8,1,10,3,8,2,10,3,8,6,10,1,8,6,10,21,8,7,10,17,8,3,10,26,8,1,10,108,8,9,10,12,8,3,10,5,8,4,10,10,8,5,10,145,4,3,19,15,4,12,19,6,4,1,18,1,10,40,4,2,19,6,4,518,},
{4,704,19,6,4,4,9,1,8,7,10,2,8,4,10,4,8,2,10,4,8,9,10,10,8,1,10,2,8,12,10,17,8,3,15,1,14,23,15,2,14,55,15,2,8,9,10,22,8,7,10,3,8,2,10,3,8,16,10,3,8,2,18,7,8,9,10,5,8,4,10,30,8,6,10,4,8,1,18,1,14,3,3,1,14,1,18,1,8,1,10,19,8,1,18,3,8,1,10,4,8,1,18,1,15,1,14,3,15,1,18,2,8,3,14,2,18,4,8,2,10,1,8,2,15,1,14,6,18,2,14,2,15,1,8,4,18,1,8,1,9,1,10,3,8,3,15,1,14,9,15,2,18,1,8,2,10,15,8,2,15,1,14,11,3,2,14,8,15,1,18,1,8,4,18,3,8,1,18,7,15,1,14,16,3,7,14,41,17,11,16,5,17,1,14,20,3,2,14,7,15,7,14,4,15,12,8,2,15,2,14,17,15,4,14,6,15,1,8,5,18,3,8,10,18,4,8,9,10,8,8,7,18,3,8,1,10,3,8,4,10,6,8,169,10,19,8,3,10,111,4,3,19,11,4,159,19,9,4,2,10,4,8,3,10,23,8,5,10,5,8,4,10,2,8,14,10,27,8,9,10,10,8,3,10,4,8,7,10,4,8,2,10,3,8,6,10,1,8,10,10,17,8,6,10,18,8,3,10,26,8,1,10,13,8,1,10,94,8,9,10,12,8,3,10,5,8,4,10,160,4,3,19,15,4,10,19,8,4,1,18,1,10,40,4,2,19,6,4,518,},
{4,704,19,6,4,3,10,1,8,6,10,4,8,5,10,8,8,9,10,13,8,10,10,2,8,1,10,17,8,3,15,3,14,21,15,3,14,32,15,1,14,19,15,2,18,1,8,3,10,3,8,3,10,27,8,2,10,10,8,8,18,3,8,2,10,5,8,2,18,2,8,3,18,2,8,8,10,6,8,6,10,27,8,3,18,3,8,1,10,4,18,2,14,1,18,1,14,1,3,1,14,1,8,1,10,21,8,3,10,6,8,1,18,1,14,6,18,1,8,2,18,2,8,2,18,2,8,2,10,2,8,1,15,2,14,10,18,1,9,2,18,1,15,2,8,1,10,3,8,3,15,1,14,9,15,1,8,1,18,1,8,2,10,16,8,1,15,1,14,10,3,2,14,8,15,1,18,1,8,5,18,12,15,1,14,1,15,3,14,11,3,8,14,26,17,9,14,4,17,12,16,4,17,2,14,19,3,3,14,6,15,3,18,2,8,1,15,2,14,6,15,12,14,13,15,1,14,5,15,3,14,7,18,1,8,6,18,2,8,10,18,5,8,9,10,30,8,114,18,2,8,56,10,131,4,2,19,12,4,161,19,7,4,2,10,9,8,1,10,20,8,5,10,5,8,19,10,28,8,8,10,11,8,4,10,4,8,6,10,4,8,3,10,2,8,6,10,1,8,10,10,18,8,3,10,20,8,3,10,26,8,1,10,11,8,4,10,98,8,4,10,12,8,3,10,5,8,4,10,159,4,4,19,15,4,10,19,8,4,2,10,7,8,2,10,13,8,8,10,10,4,2,19,5,4,519,},
{4,704,19,6,4,3,9,1,8,6,10,4,8,5,10,5,8,9,10,16,8,9,18,1,8,4,10,15,8,4,15,2,14,2,15,2,14,18,15,3,14,1,15,2,14,29,15,2,14,17,15,2,8,5,10,4,8,1,10,13,8,2,10,13,8,2,10,10,8,7,18,3,8,2,10,7,8,1,18,2,8,3,18,3,8,6,10,7,8,8,10,24,8,2,18,5,8,1,10,3,8,1,18,5,14,1,18,1,8,1,10,13,8,3,10,14,8,1,18,1,14,7,18,1,8,1,18,1,8,1,10,2,8,3,10,3,8,2,18,1,15,2,14,2,3,1,14,2,3,3,14,1,9,1,10,1,18,1,14,2,18,1,10,5,8,1,15,1,14,9,8,5,10,16,8,1,18,1,15,1,14,19,18,1,8,10,18,8,15,4,18,1,15,1,14,10,3,9,14,25,17,10,14,1,17,1,14,1,17,18,14,19,3,2,14,7,15,4,8,2,18,1,15,1,14,7,15,9,14,14,15,3,14,13,15,1,18,1,8,18,18,4,8,7,18,4,8,1,10,8,18,2,10,9,8,4,10,3,8,174,10,131,4,2,19,12,4,61,19,4,4,97,19,6,4,2,10,9,8,1,10,21,8,3,10,8,8,2,10,4,8,10,10,29,8,8,10,13,8,4,10,1,8,7,10,4,8,3,10,2,8,6,10,1,8,8,10,38,8,6,10,18,8,3,10,7,8,1,10,5,8,2,10,3,8,6,10,97,8,4,10,12,8,2,10,6,8,3,10,159,4,8,19,12,4,10,19,8,4,2,10,8,8,1,10,13,8,8,10,10,4,2,19,4,4,520,},
{4,704,19,6,4,2,10,1,8,8,10,2,8,5,10,5,8,9,10,15,8,1,10,1,8,9,18,1,8,1,10,2,8,1,10,13,8,5,15,2,14,2,15,5,14,15,15,4,14,1,15,2,14,42,15,2,14,4,15,1,8,6,10,17,8,5,10,17,8,2,10,4,8,7,18,3,8,1,10,8,8,1,18,3,8,1,18,4,8,5,10,8,8,9,10,23,8,2,18,4,8,1,10,4,8,1,18,5,14,1,18,1,10,12,8,2,18,2,8,2,10,14,18,1,14,3,15,1,14,3,18,1,8,2,10,4,8,1,10,5,8,4,15,1,14,1,3,7,8,1,10,1,8,1,15,1,14,2,18,1,10,4,8,2,14,6,3,2,14,1,8,5,10,16,8,2,15,1,14,4,15,2,14,12,18,1,8,5,10,1,8,6,18,8,15,1,18,3,15,2,14,10,3,2,14,3,3,4,14,4,15,2,14,17,17,1,16,3,17,4,14,7,17,4,14,2,17,10,14,5,17,1,14,14,3,2,14,9,15,3,18,1,15,1,14,9,15,6,14,15,15,5,14,11,18,1,8,1,18,1,8,18,18,4,8,6,18,7,8,3,10,4,18,2,10,10,8,3,10,2,8,176,10,130,4,2,19,12,4,59,19,7,4,96,19,6,4,2,10,8,8,2,10,45,8,2,10,17,8,5,10,10,8,7,10,13,8,4,10,2,8,5,10,10,8,4,10,2,8,8,10,22,8,2,10,13,8,7,10,18,8,3,10,12,8,12,10,97,8,4,10,19,8,4,10,159,4,8,19,12,4,10,19,8,4,2,10,22,8,8,10,9,4,2,19,5,4,520,},
{4,704,19,6,4,2,10,1,8,15,10,5,8,9,10,11,8,16,10,5,8,1,10,11,8,3,15,2,14,4,15,2,8,3,15,1,14,14,15,4,14,2,15,2,14,47,15,1,8,6,10,17,8,1,18,1,8,4,10,2,8,1,10,10,8,1,10,1,8,4,10,4,8,7,15,1,8,2,10,4,8,5,18,9,8,2,10,8,8,6,10,4,8,4,10,20,8,7,10,4,8,1,18,1,14,2,18,3,8,1,10,11,8,1,18,5,8,3,10,12,8,1,14,3,18,2,14,2,15,1,8,2,10,4,8,1,10,9,8,1,15,1,14,1,3,4,16,1,3,1,8,1,10,2,18,1,3,2,14,1,8,1,10,4,8,1,15,1,14,4,3,3,14,1,15,1,8,1,9,1,10,1,8,1,10,17,8,1,18,1,15,1,14,2,15,4,14,10,8,2,10,8,8,10,18,4,15,1,18,1,15,2,14,4,3,5,14,2,3,1,14,5,3,1,14,5,15,2,14,16,17,2,16,3,17,3,14,8,17,4,14,2,17,4,14,3,17,3,14,5,3,1,14,14,3,1,14,13,15,2,14,10,15,5,14,15,15,5,14,10,15,1,18,1,8,1,15,1,18,1,8,5,18,2,8,20,18,10,8,1,10,10,8,1,18,2,8,1,10,5,8,1,18,3,8,115,18,5,8,53,10,130,4,2,19,6,4,64,19,8,4,96,19,6,4,2,10,8,8,2,10,30,8,2,10,32,8,7,10,8,8,10,10,10,8,3,10,4,8,5,10,15,8,8,10,20,8,6,10,10,8,8,10,18,8,2,10,11,8,14,10,1,8,1,10,88,8,4,10,3,8,3,10,19,8,5,10,6,8,1,10,152,4,9,19,11,4,10,19,8,4,2,10,22,8,8,10,9,4,2,19,5,4,520,},
{4,704,19,5,4,3,10,1,8,14,10,6,8,12,10,1,8,1,10,5,8,16,10,18,8,1,15,2,14,5,15,2,8,4,15,1,14,12,15,3,8,1,15,1,14,45,15,1,14,5,15,2,8,6,10,16,8,1,18,3,8,8,10,8,8,3,18,2,8,2,10,2,8,2,10,4,8,5,10,3,8,7,18,6,8,2,10,8,8,7,10,5,8,3,18,1,8,1,10,19,8,6,10,5,8,1,18,1,14,2,18,3,8,1,10,11,8,1,18,1,14,2,18,2,8,1,18,1,8,1,10,6,8,1,10,5,8,1,14,3,18,2,14,2,18,1,8,1,10,16,8,1,14,1,3,6,18,1,10,2,8,1,3,3,18,1,10,5,8,1,14,3,3,4,14,2,15,1,8,1,10,1,8,2,10,2,8,3,10,12,8,2,15,2,8,4,14,9,18,1,8,1,10,9,8,5,10,2,8,5,18,2,15,1,18,1,15,1,14,5,3,5,14,29,17,5,16,3,17,3,14,8,17,11,14,3,17,3,14,4,17,1,14,19,15,2,14,40,15,3,14,12,15,1,18,1,15,2,8,5,18,2,8,22,18,1,8,1,18,6,8,3,10,2,8,4,10,1,8,1,18,4,8,1,10,3,8,1,18,3,8,116,18,5,8,27,10,1,8,25,10,130,4,2,19,6,4,64,19,7,4,97,19,6,4,2,10,40,8,2,10,33,8,7,10,8,8,9,10,11,8,2,10,6,8,4,10,14,8,11,10,18,8,5,10,10,8,8,10,31,8,13,10,2,8,3,10,85,8,5,10,3,8,3,10,17,8,7,10,6,8,2,10,149,9,1,10,1,4,12,19,7,4,11,19,8,4,2,10,22,8,8,10,3,8,1,10,5,4,2,19,5,4,520,},
{4,711,10,2,8,15,10,5,8,14,10,4,8,17,10,5,8,1,10,11,8,2,15,1,14,6,15,1,8,4,15,1,14,12,15,4,8,1,15,1,14,51,15,2,8,6,10,14,8,2,18,4,8,10,10,8,8,1,18,1,15,1,18,1,8,5,10,4,8,1,15,1,8,10,10,1,8,3,18,3,8,3,10,9,8,7,10,4,8,6,10,19,8,4,10,1,8,1,10,5,18,1,14,4,18,1,8,1,10,12,8,1,18,1,14,2,18,2,8,1,18,1,8,2,10,5,8,1,10,5,8,1,14,7,18,1,8,1,10,16,8,1,18,1,15,1,14,6,8,1,10,1,8,1,3,3,14,1,8,1,10,4,8,1,14,1,3,4,14,4,15,1,8,6,18,2,8,2,10,12,8,7,15,1,14,7,15,1,8,1,10,10,8,3,10,5,8,4,18,1,15,1,14,1,15,2,14,5,3,5,14,28,17,6,16,4,17,2,14,8,17,6,16,3,17,2,14,2,17,5,14,21,15,4,14,47,15,3,14,5,15,4,8,31,18,22,8,3,18,4,8,116,18,7,8,1,18,1,8,6,10,1,8,14,10,4,8,13,10,1,8,9,10,129,18,1,4,73,19,7,4,97,19,5,4,2,10,40,8,3,10,20,8,2,10,11,8,6,10,9,8,9,10,19,8,5,10,12,8,14,10,16,8,5,10,10,8,8,10,32,8,11,10,3,8,3,10,86,8,4,10,3,8,3,10,14,8,10,10,6,8,1,10,149,18,2,4,31,19,8,4,2,10,22,8,7,10,4,8,1,10,5,4,2,19,5,4,520,},
{4,710,10,2,8,16,10,5,8,14,10,4,8,17,10,17,8,1,18,1,14,6,15,2,8,2,15,2,14,13,15,6,14,44,15,2,14,3,15,3,8,7,10,13,8,2,18,5,8,11,10,7,8,1,15,3,18,1,8,4,10,3,8,2,15,1,8,9,10,3,8,5,10,14,8,5,10,3,8,7,10,19,8,2,18,1,8,1,10,7,18,1,14,3,18,1,8,2,10,12,8,1,18,1,14,2,18,1,8,4,10,11,8,1,18,1,14,5,15,1,18,1,8,1,10,13,8,2,10,2,9,1,8,3,18,4,14,1,18,1,8,2,14,1,3,2,14,1,18,1,8,1,10,4,15,1,14,1,3,2,14,6,15,1,8,1,15,3,14,3,15,1,18,1,8,1,10,17,8,2,15,1,14,6,8,2,10,5,8,1,10,4,8,3,10,6,8,3,18,1,14,9,3,6,14,2,3,3,14,8,3,2,14,11,17,9,16,3,17,2,14,5,17,4,16,2,17,1,16,5,17,5,16,2,17,3,14,1,3,1,14,16,15,5,14,47,15,3,14,6,15,1,18,2,8,31,18,9,14,3,18,16,8,115,18,12,8,5,10,2,8,13,10,2,8,1,10,1,8,13,10,3,8,4,10,131,9,1,4,74,19,5,4,3,10,2,4,94,19,5,4,2,10,39,8,9,10,14,8,3,10,11,8,6,10,9,8,3,10,3,8,3,10,18,8,8,10,9,8,17,10,29,8,8,10,33,8,3,10,10,8,2,10,28,8,1,10,58,8,4,10,3,8,3,10,13,8,11,10,155,18,1,4,33,19,8,4,2,10,23,8,3,10,13,4,2,19,5,4,520,},
{4,710,10,1,8,17,10,4,8,9,10,2,8,4,10,4,8,17,10,4,18,1,10,11,8,2,15,1,14,5,15,6,14,13,15,7,14,30,15,6,14,8,15,6,8,8,10,13,8,2,18,5,8,13,10,6,8,1,15,3,18,1,15,1,8,3,10,3,8,2,15,1,8,9,10,3,8,2,10,18,8,12,10,8,18,2,10,11,8,1,18,2,8,2,10,5,8,1,18,1,14,2,18,2,8,1,10,13,8,1,18,4,8,4,10,10,8,2,18,1,14,2,3,2,14,1,18,1,8,2,10,12,8,2,18,1,8,3,9,1,10,2,8,2,10,1,8,1,14,1,3,1,18,3,3,2,14,1,18,1,8,1,10,4,8,1,14,5,15,2,14,3,15,3,14,5,18,2,8,1,10,16,8,3,15,1,14,5,18,1,8,1,10,4,8,3,10,4,8,2,10,5,8,3,18,2,14,8,3,13,14,6,3,4,14,10,17,2,16,2,17,5,16,3,17,2,14,3,17,3,16,12,17,3,16,4,17,2,14,17,15,6,14,47,15,3,14,6,15,1,8,33,18,10,14,2,18,7,8,5,18,4,8,115,18,12,8,5,10,2,8,29,10,3,8,4,10,82,8,1,10,47,8,2,4,2,19,4,4,77,10,2,4,94,19,5,4,1,10,40,8,6,10,1,8,3,10,13,8,3,10,11,8,6,10,9,8,2,10,21,8,12,10,8,8,18,10,30,8,7,10,16,8,1,10,16,8,2,10,41,8,1,10,57,8,5,10,3,8,2,10,14,8,11,10,54,8,1,10,99,8,1,18,1,4,33,19,8,4,2,10,39,4,2,19,5,4,520,},
{4,709,18,1,8,11,10,2,8,5,10,3,8,9,10,6,8,1,10,4,8,17,10,4,18,1,10,11,8,2,15,1,14,6,15,4,14,9,15,1,14,4,15,7,14,12,15,2,14,15,15,2,18,1,8,3,18,1,15,1,14,4,15,3,18,1,15,2,8,10,10,14,8,2,18,4,8,4,10,2,8,4,18,3,8,2,10,4,8,2,15,6,8,2,10,2,8,12,10,3,8,3,10,14,8,2,10,2,8,4,10,1,8,7,10,8,18,3,10,5,18,1,10,4,8,1,18,3,8,1,10,5,8,1,18,4,8,1,10,14,8,1,18,4,8,2,10,11,8,2,18,3,14,1,3,2,14,1,18,1,10,14,8,1,18,1,14,1,18,1,8,2,9,1,10,2,8,2,10,1,8,1,14,1,3,1,14,1,18,1,8,1,18,1,3,2,15,1,8,1,10,5,15,1,14,4,15,2,14,5,15,1,14,4,15,2,18,2,8,1,10,12,8,4,15,3,14,6,18,1,8,1,10,4,8,3,10,4,8,1,10,5,8,2,18,2,15,1,14,9,3,22,14,8,17,2,16,7,17,2,16,3,17,7,16,21,17,2,14,14,15,6,14,10,15,2,14,7,15,1,14,30,15,1,14,6,15,1,8,32,18,1,8,7,18,12,8,7,18,1,8,117,18,12,8,36,10,2,8,6,10,5,8,3,10,120,9,1,18,2,4,2,19,5,4,76,10,2,4,94,19,5,4,1,10,40,8,6,10,1,8,3,10,13,8,3,10,10,8,7,10,9,8,1,10,21,8,1,9,4,8,8,10,8,8,6,10,2,8,10,10,30,8,7,10,76,8,2,10,55,8,7,10,3,8,2,10,13,8,7,10,58,8,1,10,97,9,1,8,1,9,1,4,35,19,7,4,2,10,39,18,1,19,6,4,520,},
{4,709,8,18,10,4,8,1,10,1,8,7,10,11,8,15,10,6,18,2,10,10,8,2,18,1,15,2,14,15,15,4,14,3,15,2,8,1,15,4,14,9,15,1,14,2,15,2,14,13,15,3,8,6,18,1,15,1,14,2,15,1,8,16,10,14,8,2,18,3,8,3,10,6,8,3,18,3,8,1,10,4,8,1,18,1,15,6,8,1,10,3,8,4,10,3,8,4,10,3,8,2,18,2,10,13,8,8,10,4,8,6,10,7,8,1,10,7,18,2,10,3,8,1,18,3,10,7,18,2,8,3,10,13,8,1,18,6,8,1,10,11,8,1,18,2,8,1,18,1,14,1,3,3,18,1,10,14,8,1,14,2,18,1,8,3,9,1,8,1,18,2,8,1,18,1,14,1,3,1,14,1,18,1,10,1,8,1,3,2,15,1,8,1,10,5,15,1,14,10,15,6,18,4,8,1,10,3,8,9,15,1,14,13,18,1,8,1,10,4,8,2,10,10,8,2,18,3,14,9,3,9,14,2,3,11,14,6,17,2,16,10,17,1,16,2,17,3,14,2,17,3,16,5,17,2,16,14,17,4,14,11,15,5,14,12,15,2,14,7,15,1,14,18,15,2,14,16,15,1,18,1,8,5,18,2,8,16,18,2,8,6,18,2,8,10,18,21,8,114,18,3,8,1,18,7,8,45,10,3,8,4,10,30,8,2,10,3,8,1,10,26,8,4,10,50,4,8,19,6,4,172,19,5,4,1,10,40,8,5,10,4,8,2,10,12,8,2,10,11,8,7,10,7,8,3,10,6,8,2,10,12,8,2,18,4,8,3,10,1,8,3,10,9,8,5,10,3,8,10,10,14,8,1,10,19,8,3,10,40,8,2,10,33,8,3,10,54,8,9,10,2,8,2,10,7,8,2,10,4,8,5,10,60,8,1,10,97,18,2,4,37,19,6,4,2,10,21,8,2,10,14,18,2,4,1,19,6,4,520,},
{4,699,19,3,4,6,8,18,10,3,8,4,10,1,8,5,10,12,8,14,10,3,8,1,10,3,18,1,10,11,8,3,15,3,14,10,15,3,14,1,15,2,14,5,15,7,14,2,15,1,14,5,15,7,14,7,15,5,8,5,10,4,8,1,18,1,15,2,18,1,8,8,10,2,8,7,10,13,8,2,18,1,8,3,10,9,8,1,18,1,15,1,14,1,15,1,18,1,8,4,18,1,15,6,18,1,8,1,10,3,8,4,10,3,8,4,10,3,8,1,18,1,14,1,18,1,10,13,8,7,10,6,8,3,10,1,8,1,10,21,18,3,10,6,8,1,18,2,8,1,10,15,8,1,18,5,8,1,10,12,8,1,18,1,15,1,18,2,14,1,3,2,14,1,8,1,10,14,8,1,18,2,8,6,18,2,8,1,18,2,14,2,18,1,10,2,3,2,14,1,8,2,10,4,8,1,15,1,14,9,15,1,8,6,18,3,8,4,18,1,14,4,15,3,14,3,3,3,14,6,3,2,14,2,18,1,8,2,10,1,8,4,10,6,8,2,18,1,15,4,14,14,3,5,14,2,3,8,14,9,17,1,16,14,17,10,16,19,17,1,16,3,17,1,3,1,14,31,15,1,14,21,15,2,14,17,15,1,8,4,18,5,8,3,18,2,8,10,18,1,8,7,18,1,8,12,18,6,8,1,18,8,8,125,18,5,8,2,10,1,8,32,10,3,8,7,10,3,8,4,10,26,8,2,9,2,8,2,10,29,8,5,10,50,4,3,19,3,4,3,19,4,4,173,19,5,4,1,10,10,8,2,10,31,8,2,10,1,8,6,10,2,8,2,10,20,8,7,10,6,8,3,10,22,18,5,8,2,10,3,8,2,10,11,8,2,10,12,8,1,10,15,8,2,10,19,8,2,10,76,8,2,10,51,8,14,10,4,8,5,10,5,8,5,10,158,4,4,19,2,4,34,19,6,4,2,10,36,4,4,19,6,4,520,},
{4,698,19,5,4,5,9,1,8,17,10,2,8,11,10,11,8,7,10,2,8,6,10,4,8,1,10,13,8,4,15,3,14,7,15,3,8,1,15,2,14,8,15,3,14,2,15,2,14,7,15,5,8,2,15,1,14,2,15,7,8,8,10,4,8,3,18,1,8,5,10,1,8,3,10,1,8,9,10,3,8,2,10,5,8,6,10,11,8,1,18,1,14,3,18,3,8,1,18,1,15,7,8,9,10,4,8,3,10,3,8,1,18,3,10,12,8,4,10,3,8,1,10,10,18,1,10,17,18,2,8,1,10,3,8,2,10,4,8,1,18,3,8,1,10,15,8,1,18,5,8,1,10,11,8,1,15,1,14,2,15,1,14,2,3,1,14,1,15,1,8,1,10,13,8,2,10,8,8,1,10,2,8,1,18,1,14,1,18,1,8,1,10,2,18,1,3,1,14,1,18,2,8,1,10,4,8,1,14,1,3,2,14,5,15,1,8,1,10,4,8,5,15,1,14,29,15,1,8,5,10,3,8,1,10,1,8,1,15,1,14,23,17,3,3,1,14,4,17,4,14,4,17,6,16,7,17,3,16,2,17,3,16,6,17,3,16,23,3,2,14,11,3,1,14,18,15,3,14,40,15,1,18,1,15,3,18,8,8,31,18,13,8,41,10,1,8,4,10,3,8,21,10,3,8,8,10,3,8,84,10,5,8,5,10,24,8,1,10,7,9,2,18,4,9,1,10,30,8,3,10,51,4,1,19,5,4,66,19,5,4,14,19,4,4,90,19,6,4,1,10,10,8,2,10,31,8,14,10,9,8,2,10,8,8,6,10,42,8,1,10,100,8,2,10,39,8,2,10,50,8,4,10,1,8,10,10,3,8,6,10,3,8,8,10,27,8,2,10,127,4,2,19,5,4,35,19,4,4,3,10,1,8,1,10,34,4,2,19,4,4,524,},
{4,698,19,6,4,3,10,1,8,17,10,3,8,10,10,11,8,8,10,3,8,5,10,18,9,1,8,2,15,3,14,8,15,6,14,7,15,3,14,3,15,2,14,4,15,7,8,3,15,8,8,5,10,3,8,2,10,4,8,5,18,3,8,1,10,4,8,16,10,2,8,3,15,1,18,1,8,3,10,12,8,1,14,5,15,3,14,2,15,4,8,10,10,4,8,3,10,2,8,1,18,3,8,1,10,11,8,5,10,14,18,1,10,17,18,2,8,1,10,3,8,2,10,4,18,4,8,1,10,16,8,3,18,1,8,1,10,6,8,3,10,2,8,1,15,1,14,3,15,1,14,1,3,2,14,1,8,1,10,13,8,1,18,2,10,12,18,1,14,1,18,1,8,1,10,2,18,1,3,2,14,2,18,1,10,4,8,1,14,2,3,1,14,5,8,1,10,5,8,5,15,1,14,2,3,1,14,29,7,2,8,6,15,1,14,1,17,1,16,2,17,1,14,17,17,4,16,2,14,5,17,3,14,4,17,1,16,2,17,4,16,5,17,2,14,1,17,1,16,12,17,2,16,23,3,1,14,11,3,1,16,2,14,17,15,2,14,18,15,2,14,21,15,1,18,1,15,3,18,8,8,30,18,13,8,47,10,3,8,21,10,3,8,7,10,4,8,19,10,1,8,64,10,5,8,6,10,14,8,1,10,7,8,2,10,8,18,5,9,1,10,30,8,3,10,50,4,2,19,5,4,66,19,5,4,1,18,1,10,4,4,7,19,6,4,89,19,6,4,2,10,5,8,1,10,4,8,1,10,31,8,16,10,7,8,6,10,8,8,2,10,184,8,1,10,51,8,1,18,1,8,14,10,2,8,6,10,4,8,7,10,27,8,2,10,45,8,1,10,81,4,2,19,5,4,41,10,2,8,1,10,34,4,1,19,5,4,524,},
{4,698,19,6,4,1,18,1,9,1,8,18,10,3,8,10,10,11,8,9,10,1,8,6,10,18,9,1,8,1,15,3,14,6,15,1,14,15,15,3,14,4,15,1,14,4,15,7,8,8,15,2,8,6,10,3,8,2,10,4,8,4,18,2,15,1,18,1,8,3,10,1,8,18,10,1,8,3,15,2,18,1,8,2,10,12,8,1,14,6,15,2,14,2,15,4,8,7,10,1,8,1,10,4,8,1,18,2,10,3,8,1,18,3,10,12,8,5,10,37,8,1,18,1,8,1,10,4,18,4,8,1,10,27,8,5,15,1,14,4,15,1,14,1,3,1,14,1,15,1,8,1,10,13,8,1,18,2,10,11,8,1,18,1,14,1,18,1,8,1,10,2,18,1,3,3,14,1,18,1,10,4,8,1,14,8,8,1,10,5,8,1,15,2,8,3,14,2,3,1,14,32,15,2,14,5,16,3,17,1,14,16,17,5,16,1,17,1,14,12,17,1,16,2,17,3,16,7,17,3,16,35,3,3,14,12,16,1,3,1,14,17,15,2,14,18,15,2,14,20,15,1,18,2,15,2,18,11,8,28,18,11,8,50,10,2,8,22,10,2,8,7,10,3,8,52,10,1,8,31,10,6,8,6,10,12,8,4,10,6,8,2,10,7,18,5,10,1,8,1,10,30,8,3,10,50,4,2,19,5,4,65,19,5,4,1,18,1,10,6,4,4,19,8,4,89,19,6,4,2,10,37,8,21,10,7,8,6,10,8,8,2,10,10,8,2,10,12,8,1,10,4,8,2,10,153,8,2,10,50,8,1,18,1,8,7,10,2,8,2,18,2,8,1,10,2,8,7,10,3,8,7,10,4,8,2,10,22,8,1,10,125,4,4,19,5,4,41,10,37,4,1,19,5,4,524,},
{4,698,19,5,4,2,18,1,8,14,10,2,8,3,10,4,8,9,10,11,8,18,10,16,9,1,8,1,15,2,14,6,15,2,14,15,15,2,14,9,15,6,8,6,9,1,8,11,10,8,8,5,18,1,15,1,14,1,15,1,18,1,8,24,18,1,15,1,14,1,15,1,18,1,8,2,10,12,18,1,14,6,15,1,14,2,15,3,8,6,10,8,8,1,18,2,10,3,8,1,18,2,8,1,10,10,8,7,10,35,8,1,18,3,8,1,10,4,18,4,8,1,10,24,8,7,15,1,14,9,8,1,10,14,8,1,18,2,8,1,10,10,8,1,18,1,14,2,18,1,8,2,14,1,3,3,14,1,18,1,10,4,8,1,15,1,14,4,3,1,14,2,8,1,10,4,8,1,15,1,14,2,8,3,15,1,14,9,3,4,17,2,14,15,17,2,16,1,17,1,14,6,17,1,16,4,14,15,17,8,14,11,17,7,16,7,17,2,16,26,17,3,16,6,3,3,14,2,3,1,14,1,3,5,14,4,3,2,14,16,15,1,14,27,15,1,14,14,15,1,18,16,8,27,18,7,8,81,10,1,8,6,10,2,8,51,10,3,8,29,10,9,8,2,10,15,8,3,10,6,8,1,18,1,10,7,18,4,9,1,10,32,8,2,10,50,4,3,19,5,4,64,19,6,4,1,10,5,8,1,10,1,4,3,19,9,4,89,19,6,4,3,10,4,8,1,10,26,8,26,10,7,8,6,10,20,8,2,10,15,8,7,10,105,8,1,10,44,8,1,10,50,8,10,10,1,8,2,18,1,14,1,18,1,8,3,10,2,8,2,10,2,8,2,10,4,8,6,10,2,8,3,10,147,4,4,19,6,4,42,10,36,4,1,19,5,4,524,},
{4,698,19,4,4,4,10,1,8,13,10,9,8,9,10,6,8,1,10,4,8,18,10,16,9,1,8,1,15,2,14,6,15,2,14,26,15,4,8,7,9,1,10,1,9,1,8,12,10,5,8,7,18,1,15,2,18,1,8,24,18,1,15,1,14,2,18,1,8,2,10,12,8,1,18,2,15,1,14,4,15,5,8,6,10,8,8,1,18,2,10,3,8,1,18,2,10,10,18,3,10,3,8,1,10,36,18,4,8,1,10,4,18,1,14,1,18,2,8,1,10,23,8,8,15,1,14,1,3,2,14,5,15,1,10,14,8,1,18,1,14,1,18,1,8,1,10,8,8,3,18,1,14,3,18,1,15,1,3,1,16,2,3,1,14,1,18,1,10,4,8,1,15,1,14,4,3,1,14,2,8,1,10,4,8,1,14,3,8,3,15,1,14,8,3,5,14,12,17,6,16,2,17,1,14,2,17,1,14,4,16,4,14,15,17,6,3,1,14,12,17,7,16,34,17,2,14,2,17,1,16,5,3,3,14,2,3,1,14,1,3,6,14,20,15,1,14,6,3,2,14,20,15,1,14,15,15,1,18,5,8,3,18,9,8,24,18,7,8,63,10,2,8,17,10,1,8,59,10,2,8,29,10,36,8,1,18,1,10,8,18,3,8,1,10,32,8,1,10,51,4,2,19,6,4,63,19,7,4,1,10,5,8,1,10,1,4,2,19,10,4,89,19,8,4,1,10,3,8,3,10,30,8,19,10,1,8,1,10,8,8,4,10,37,8,3,10,1,8,6,10,26,8,1,10,84,8,1,10,86,8,13,18,1,15,1,14,1,18,2,8,6,10,2,8,3,10,3,8,3,10,78,8,2,10,75,4,4,19,6,4,42,10,35,4,2,19,5,4,524,},
{4,698,19,4,4,4,10,2,8,12,10,9,8,8,10,3,8,1,10,8,8,12,10,1,8,5,10,16,9,1,8,1,15,2,14,34,15,3,8,6,15,1,8,1,9,1,10,2,9,1,8,12,10,3,8,5,10,1,8,2,18,1,15,2,18,1,8,24,18,1,15,1,14,2,15,1,8,2,10,13,8,1,18,3,15,1,14,2,15,4,8,6,10,8,8,2,18,1,8,1,10,3,8,1,18,2,10,10,18,3,10,39,8,1,18,4,10,5,18,4,10,3,8,1,10,19,8,2,18,1,8,4,10,1,8,1,14,2,3,3,14,2,15,2,8,1,10,14,8,1,18,1,14,1,15,1,8,1,10,7,8,4,18,1,14,3,15,1,14,1,3,1,16,1,3,2,14,1,18,1,8,1,10,3,8,1,14,8,15,1,8,1,10,2,8,1,15,1,14,3,15,1,8,1,15,2,14,15,17,2,14,6,17,3,16,4,17,4,14,2,16,1,17,1,14,4,16,3,17,3,14,3,17,1,14,6,17,8,3,1,14,9,17,10,16,34,17,2,14,2,17,2,16,5,3,2,14,4,3,6,14,27,3,2,14,20,15,1,14,15,15,2,18,1,8,6,18,9,8,24,18,8,8,57,10,2,8,3,10,2,8,77,10,3,8,28,10,34,8,1,10,1,8,2,10,8,18,1,8,2,10,74,8,2,10,9,4,2,19,6,4,62,19,7,4,2,10,6,4,3,19,9,4,91,19,7,4,2,10,2,8,4,10,32,8,14,10,3,8,1,10,9,8,2,10,38,8,2,10,3,8,1,18,3,8,1,10,26,8,2,10,42,8,4,10,8,8,5,10,85,8,2,10,23,8,12,18,2,15,1,14,3,18,2,8,5,10,2,8,3,10,2,8,3,10,79,8,2,10,74,4,5,19,6,4,42,18,1,10,34,4,2,19,5,4,524,},
{4,697,19,5,4,3,10,5,8,2,10,4,8,4,10,8,8,8,10,3,8,3,10,6,8,13,10,2,8,4,10,16,8,1,15,4,14,25,15,3,14,4,15,3,8,7,15,1,8,2,9,2,8,1,9,1,8,11,10,3,8,5,10,1,8,3,18,3,8,25,18,1,14,2,15,1,8,2,10,13,8,2,18,3,14,2,18,2,15,2,8,6,10,8,8,4,10,3,8,1,18,1,8,1,10,11,18,1,8,1,10,4,8,1,10,33,8,1,18,4,8,1,10,5,18,3,8,1,10,3,8,1,10,17,8,9,10,1,8,1,15,1,14,1,3,3,14,2,8,2,10,15,8,1,18,1,15,1,18,1,8,1,10,3,8,2,10,2,8,3,15,1,18,1,15,1,14,2,15,1,14,1,3,4,14,1,18,1,8,1,10,3,8,1,14,8,15,1,8,2,15,2,14,23,17,3,14,4,17,2,16,4,17,4,14,4,17,1,14,6,17,2,16,6,17,2,14,3,17,2,16,5,17,3,3,3,17,7,16,4,17,7,16,25,17,3,16,11,17,1,14,3,16,2,3,2,14,5,3,5,14,5,3,2,14,19,3,1,14,38,15,1,18,1,8,8,18,6,8,25,18,8,8,50,10,2,8,5,10,2,8,3,10,3,8,26,10,4,8,47,10,2,8,28,10,33,8,2,10,2,8,1,10,83,8,4,10,5,4,5,19,7,4,62,19,7,4,2,10,5,4,4,19,6,4,94,19,7,4,4,10,1,8,3,10,34,8,11,10,3,8,2,10,46,8,4,10,4,8,1,18,3,8,1,10,70,8,6,10,4,8,11,10,18,8,1,10,62,8,1,10,24,8,10,18,2,14,3,15,1,18,1,14,1,18,2,8,5,10,2,8,7,10,79,8,3,10,71,4,7,19,7,4,42,10,1,8,1,10,31,4,3,19,6,4,524,},
{4,697,19,5,4,2,10,1,8,1,10,11,8,4,10,6,8,9,10,2,8,5,10,5,8,13,10,2,8,3,10,16,9,1,8,1,15,1,14,1,15,4,14,24,15,2,14,4,15,2,8,7,15,1,8,6,9,4,8,9,10,1,8,11,18,2,8,15,10,1,8,10,18,1,14,1,15,1,18,1,8,1,10,14,8,1,18,3,14,2,18,2,15,2,8,5,10,8,8,3,10,5,8,2,10,51,8,1,18,4,8,1,10,6,8,1,18,1,8,2,10,2,8,2,10,12,8,9,10,6,8,2,14,2,3,3,14,1,8,1,10,17,8,1,18,2,8,6,10,2,8,2,15,1,14,3,15,3,14,1,3,3,14,2,18,1,8,2,10,1,8,2,14,37,17,2,14,3,17,9,14,5,17,1,16,1,17,1,14,5,3,1,16,7,17,2,14,1,3,2,17,1,16,6,17,3,3,1,17,1,16,13,17,2,14,2,17,2,16,24,17,5,16,10,17,1,14,3,16,3,3,1,14,4,3,2,16,3,3,2,14,3,3,4,14,57,15,1,18,1,8,39,18,8,8,50,10,2,8,5,10,2,8,3,10,3,8,25,10,6,8,46,10,2,8,28,10,33,8,2,10,86,8,4,10,3,4,6,19,8,4,62,19,5,4,3,18,1,10,5,4,3,19,7,4,95,19,8,4,3,9,1,8,3,10,34,8,10,10,3,8,2,10,25,8,2,10,19,8,4,10,4,8,2,18,2,8,1,10,38,8,1,10,31,8,4,10,8,8,8,10,10,8,1,10,6,8,3,10,61,8,2,10,19,8,16,18,1,14,3,18,2,14,1,18,2,8,1,18,1,8,3,10,3,8,6,10,153,4,3,19,11,4,41,18,1,10,32,4,3,19,7,4,524,},
{4,696,19,4,4,4,10,1,8,2,10,11,8,4,10,5,8,8,10,2,8,24,10,2,8,3,10,14,9,1,8,3,15,1,14,1,15,5,14,15,15,4,14,5,15,7,8,5,15,3,8,2,15,3,8,2,10,3,9,1,8,21,18,2,8,9,10,8,8,8,18,1,15,2,18,1,8,1,10,13,8,2,18,3,14,2,15,1,18,1,15,1,18,1,8,5,10,7,8,3,10,23,8,1,10,35,8,4,10,9,8,5,18,1,8,1,10,11,8,5,10,10,8,4,15,1,14,1,3,2,14,1,8,1,10,2,8,2,10,5,8,1,10,7,8,3,18,1,15,1,14,1,15,1,8,2,10,2,8,1,15,1,14,5,15,2,14,1,3,2,14,2,15,1,18,1,8,2,10,1,8,2,14,14,15,1,18,1,15,1,14,1,3,3,14,18,17,8,14,1,17,8,16,3,14,5,16,8,3,2,14,1,3,3,16,5,3,1,16,18,17,1,14,4,17,1,16,24,17,1,14,1,17,2,16,12,14,3,16,3,3,2,14,2,3,2,16,5,3,5,16,2,3,1,14,47,15,4,14,6,15,1,18,1,8,38,18,11,8,48,10,2,8,5,10,1,8,5,10,1,8,25,10,7,8,46,10,2,8,28,10,28,8,3,10,89,8,4,10,4,4,4,19,10,4,62,19,4,4,4,10,6,4,3,19,7,4,96,19,9,4,1,9,1,8,3,10,33,8,10,10,3,8,4,10,24,8,3,10,5,8,3,10,13,8,2,10,3,8,2,18,1,8,2,10,38,8,1,10,47,8,2,10,82,8,1,10,19,8,11,18,3,8,5,18,2,14,1,18,2,14,1,18,1,8,7,10,4,8,4,10,1,8,2,10,1,8,6,10,136,8,3,10,3,4,2,19,13,4,42,10,3,8,1,10,28,4,3,19,6,4,525,},
{4,696,19,4,4,4,10,1,8,3,10,11,8,3,10,4,8,7,10,3,8,30,10,13,9,1,8,3,15,2,14,1,15,4,14,16,15,5,14,4,15,7,8,5,15,3,8,1,15,1,14,2,15,1,8,2,10,4,8,30,10,15,8,3,18,1,15,2,18,1,8,1,10,14,8,2,18,2,14,2,15,1,18,1,15,1,18,1,8,3,10,1,8,1,10,7,8,2,10,23,8,2,10,50,8,3,18,1,8,1,10,10,8,4,10,11,8,6,15,1,14,1,3,1,14,1,15,1,8,2,15,2,8,1,10,2,8,3,10,9,8,1,15,1,14,4,8,2,10,1,8,1,15,1,14,1,3,1,14,3,15,2,14,1,3,1,14,2,15,2,8,6,15,1,14,12,15,1,8,3,14,2,3,1,14,19,17,5,14,5,17,3,16,7,3,1,14,3,16,9,3,5,16,4,3,5,16,7,17,3,16,5,17,2,14,4,17,1,16,24,17,3,16,13,17,1,14,1,17,1,16,3,3,4,16,8,3,4,16,1,3,2,14,43,15,8,14,6,15,1,18,1,8,38,18,7,8,1,18,4,8,88,10,5,8,46,10,2,8,28,10,27,8,4,10,89,8,1,10,6,4,4,19,10,4,63,19,2,4,5,18,1,10,6,4,2,19,8,4,98,19,7,4,1,18,1,9,1,8,2,10,32,8,3,10,1,8,7,10,3,8,5,10,10,8,5,10,8,8,3,10,5,8,3,10,13,8,10,10,25,18,2,4,5,10,138,8,1,10,19,8,11,18,3,8,2,10,2,8,1,18,2,14,4,18,1,8,1,10,1,8,6,10,3,8,16,10,133,8,5,10,2,4,2,19,11,4,45,10,2,8,1,10,27,4,3,19,7,4,525,},
{4,696,19,4,4,1,18,1,10,2,8,4,10,17,8,8,10,3,8,3,10,4,8,23,10,14,9,1,8,2,15,2,14,3,15,1,14,14,15,1,14,4,15,3,14,4,15,7,8,4,15,6,14,2,15,1,8,2,10,4,8,11,10,2,8,17,10,16,8,2,18,1,15,2,18,1,8,2,10,7,8,2,10,5,8,2,18,1,14,2,15,1,18,1,15,1,18,1,8,2,10,2,8,1,10,7,8,2,10,74,8,6,10,22,8,7,10,2,8,1,14,4,15,2,14,2,8,5,10,10,8,1,18,1,14,1,3,2,14,1,15,1,8,3,14,5,15,3,14,1,3,1,14,2,15,1,18,1,8,6,15,1,14,11,15,1,8,2,10,1,8,2,14,3,18,1,14,24,17,4,16,5,17,1,16,3,17,1,14,2,3,1,16,10,3,3,16,4,3,2,14,3,3,6,14,8,17,2,14,5,17,2,16,25,17,2,16,13,17,1,14,1,17,1,3,1,16,1,3,3,16,10,3,1,14,3,3,2,14,32,15,8,14,3,15,9,14,6,15,2,18,1,8,38,18,5,8,3,18,4,8,90,10,1,8,46,10,3,8,28,10,29,8,2,10,86,8,3,10,5,4,5,19,6,4,72,18,4,10,6,4,2,19,9,4,99,19,5,4,2,18,1,10,1,8,1,10,24,8,2,10,6,8,2,10,2,8,6,10,5,8,5,10,9,8,5,10,16,8,3,10,13,8,10,10,20,8,2,10,2,4,11,18,1,8,1,10,132,8,2,10,20,8,9,18,3,8,1,10,3,8,2,18,2,14,4,18,1,10,2,8,2,10,2,8,2,10,3,8,14,10,135,8,3,9,1,18,1,4,3,19,10,4,48,10,27,4,4,19,7,4,526,},
{4,696,19,4,4,1,18,1,10,2,8,5,10,16,8,2,18,1,8,5,10,3,8,2,10,7,8,20,10,15,9,1,8,2,15,1,14,17,15,4,14,3,15,4,14,3,15,17,14,2,15,2,8,1,9,1,10,1,9,1,8,8,18,2,8,3,10,1,8,6,10,2,8,9,10,15,8,2,18,5,8,2,10,7,8,2,10,7,8,1,15,1,14,1,18,2,15,1,18,1,8,1,10,10,8,2,10,6,8,1,10,68,8,2,10,25,8,1,18,3,8,4,10,3,8,1,14,1,3,2,14,2,3,1,14,2,8,1,15,1,8,1,10,8,8,2,10,2,8,1,14,2,3,1,14,2,15,4,14,4,15,3,14,4,15,1,8,7,15,1,14,10,15,1,8,2,10,3,8,2,18,4,15,1,14,1,15,1,14,20,17,2,16,7,3,2,16,2,3,3,16,7,3,2,16,8,3,1,14,6,3,1,14,17,17,4,16,25,17,2,16,3,17,3,16,5,17,2,14,1,17,2,3,3,16,11,3,2,14,19,3,1,14,16,15,9,14,3,15,8,14,7,15,2,18,1,8,37,18,4,8,6,18,3,8,70,10,1,8,57,10,3,8,6,10,3,8,28,10,117,8,2,10,5,4,6,19,6,4,70,10,12,4,2,19,10,4,98,19,7,4,1,9,1,10,25,8,2,10,11,8,4,10,6,8,4,10,10,8,5,10,32,8,6,10,21,8,4,10,3,4,3,19,5,4,4,18,1,9,1,10,64,8,2,10,65,8,2,10,5,8,3,10,4,8,2,10,12,8,5,10,5,8,1,18,7,8,1,10,6,8,2,10,4,8,9,10,61,8,2,10,77,8,2,9,1,4,1,19,13,4,48,10,27,4,2,19,9,4,526,},
{4,694,19,5,4,2,18,1,10,2,8,7,10,14,8,8,10,4,8,1,10,8,8,16,18,1,10,1,8,1,10,15,9,1,8,2,15,1,14,16,15,1,8,3,15,1,14,3,15,5,14,1,15,2,14,2,15,14,14,2,15,2,8,12,18,1,15,1,18,1,8,2,10,2,8,5,10,3,8,3,10,19,8,2,18,3,15,1,18,2,8,2,10,7,8,3,10,6,8,1,18,2,8,2,18,2,8,1,10,9,8,2,10,6,8,2,10,68,8,2,10,6,8,2,10,15,8,3,18,3,8,3,10,4,8,1,14,1,3,1,16,1,3,4,14,1,15,2,8,1,10,7,8,1,18,1,8,1,10,2,8,1,14,6,15,3,14,2,15,3,8,1,15,1,14,4,15,1,8,8,15,1,14,8,15,1,8,3,10,4,8,5,18,1,15,3,14,18,17,2,16,7,17,1,3,3,16,1,3,3,16,6,3,1,14,2,3,1,16,2,3,1,16,3,3,2,14,23,17,4,16,30,17,1,14,3,17,2,16,2,17,1,14,4,17,1,3,1,16,13,3,1,14,18,3,4,14,15,15,10,14,3,15,2,14,12,15,2,18,1,8,47,18,1,8,71,10,4,8,55,10,3,8,6,10,3,8,28,10,41,18,3,10,73,8,1,10,6,4,70,19,7,4,5,10,12,4,2,19,10,4,78,19,8,4,13,19,6,4,1,10,39,8,4,10,6,8,4,10,10,8,5,10,31,8,5,10,22,8,4,10,3,9,1,4,2,19,6,4,4,18,2,8,1,10,63,8,2,10,71,8,5,10,2,8,3,10,13,8,3,10,6,8,1,18,2,8,1,18,4,8,1,10,6,8,3,10,4,8,1,10,67,8,4,10,71,8,1,10,5,8,1,10,1,4,1,19,12,4,49,10,27,4,2,19,9,4,526,},
{4,694,19,5,4,2,10,4,8,8,10,13,8,7,10,13,8,15,18,2,10,17,8,2,15,1,14,16,15,2,8,3,15,2,14,2,15,1,8,3,15,4,14,2,15,4,14,4,15,1,8,2,15,2,14,1,15,13,18,1,8,1,18,1,15,4,8,8,10,24,8,2,18,2,15,2,18,2,8,2,10,8,8,1,18,3,8,1,10,4,8,3,10,1,8,1,18,1,8,1,10,9,8,3,10,4,8,1,18,2,8,1,10,75,8,3,10,14,8,4,18,2,8,3,10,6,8,1,3,1,16,2,3,4,14,1,8,1,10,7,8,1,15,1,14,1,15,1,10,2,8,1,15,1,14,19,15,1,8,9,15,3,14,5,15,1,8,3,10,8,8,2,15,2,14,20,17,4,16,1,17,3,16,1,3,2,16,2,3,1,14,1,3,1,16,4,3,3,14,2,3,8,14,24,17,1,16,32,17,2,14,3,17,2,16,1,17,1,14,5,16,14,3,2,14,19,3,3,14,15,15,3,14,1,15,6,14,3,15,1,14,13,15,2,18,1,8,106,10,1,8,12,10,4,8,55,10,3,8,7,10,1,8,28,10,38,8,1,10,2,18,4,10,73,8,1,10,5,4,71,19,8,4,3,10,13,4,3,19,9,4,77,19,9,4,14,19,5,4,2,10,40,8,1,10,7,8,3,10,46,8,4,10,24,8,2,10,3,8,1,9,1,4,3,19,6,4,4,18,3,8,1,10,46,8,2,10,86,8,12,10,2,8,4,10,15,8,2,10,4,8,3,10,3,8,4,10,1,8,2,10,2,8,3,10,66,8,4,10,70,8,3,10,5,4,1,19,9,4,55,18,2,10,23,4,1,19,8,4,528,},
{4,694,19,5,4,1,10,5,8,9,10,14,8,5,10,6,8,3,10,3,8,17,18,1,10,16,9,1,8,1,15,1,14,10,3,3,14,3,15,3,8,1,9,2,8,1,15,3,8,1,10,2,9,1,8,1,15,2,14,3,15,1,8,2,15,1,14,4,15,1,8,3,15,1,14,1,15,7,14,1,15,9,14,3,18,1,8,7,10,24,8,1,18,2,14,3,15,1,18,1,8,1,10,9,8,1,18,4,8,1,10,2,8,3,10,3,8,2,10,9,8,3,10,4,18,1,14,1,18,1,8,1,10,28,18,1,10,41,8,2,10,3,8,2,10,10,8,1,18,3,8,1,18,1,8,1,10,2,8,2,10,9,8,1,14,1,16,1,3,4,16,1,14,1,8,1,10,7,8,1,15,1,14,2,8,1,10,1,8,1,15,1,14,5,3,1,14,14,8,11,15,1,14,5,15,1,8,3,10,8,8,2,15,2,14,24,17,3,16,6,3,3,16,3,3,4,14,8,3,1,14,8,3,1,14,15,17,1,16,21,17,2,16,10,17,2,14,2,17,2,16,3,17,1,14,4,16,12,3,3,14,38,15,2,14,4,15,4,14,2,15,3,14,12,15,1,18,2,8,99,10,3,8,3,10,3,8,11,10,4,8,35,10,1,8,19,10,3,8,36,10,37,8,2,18,6,10,79,4,25,19,5,4,41,19,7,4,2,10,3,8,1,10,12,4,3,19,8,4,6,19,4,4,67,19,9,4,14,19,5,4,2,10,49,8,2,10,47,8,3,10,17,8,3,10,8,8,1,9,1,18,2,4,2,19,8,4,2,18,4,8,1,10,45,8,2,10,85,8,20,10,22,8,1,10,1,8,5,10,2,8,7,10,1,8,2,10,63,8,4,10,69,8,5,10,1,4,4,19,8,4,50,19,3,4,5,10,23,4,1,19,8,4,528,},
{4,694,19,5,4,1,9,1,8,1,10,4,8,11,10,14,8,2,10,6,8,22,18,2,10,12,8,6,15,1,14,11,3,1,14,3,15,2,8,3,9,2,8,2,15,1,8,1,9,1,10,2,9,1,8,1,15,2,14,3,15,4,14,3,15,1,8,4,15,2,8,2,15,5,14,5,15,5,14,3,15,1,8,7,10,23,8,2,18,1,15,1,14,4,18,1,8,1,10,9,8,1,18,5,8,1,10,1,8,3,10,14,8,2,10,5,18,1,14,1,18,1,8,1,10,28,18,1,10,41,8,2,10,14,8,1,18,1,14,2,18,3,10,14,8,1,14,1,3,1,14,4,3,1,14,1,10,7,8,1,18,1,14,2,15,1,10,2,8,1,14,6,3,1,14,3,3,1,16,2,3,4,14,3,15,1,8,3,15,4,8,4,15,1,14,6,15,1,8,2,10,9,8,1,15,1,14,14,17,3,14,9,17,2,16,6,3,3,16,3,3,3,14,13,15,2,14,19,17,2,16,20,17,2,16,10,17,2,14,2,17,1,16,6,14,3,17,1,16,10,3,1,14,18,3,3,14,26,15,4,14,2,15,6,14,8,15,1,18,3,8,99,10,3,8,4,10,2,8,11,10,4,8,94,10,36,8,1,18,1,8,1,18,7,10,77,4,26,19,6,4,40,19,7,4,2,10,2,8,2,10,11,8,1,18,1,4,2,19,8,4,6,19,6,4,65,19,9,4,14,19,5,4,1,10,49,8,2,10,69,8,2,10,7,8,2,18,3,4,3,19,7,4,2,18,3,9,1,8,1,10,45,8,3,10,84,8,21,10,14,8,1,18,2,10,4,8,5,18,1,8,1,10,2,8,13,10,61,8,2,10,60,8,3,10,7,8,5,10,1,4,4,19,8,4,49,19,4,4,5,10,23,4,2,19,6,4,529,},
{4,694,19,2,4,4,10,7,8,10,10,21,8,22,18,2,10,13,8,4,15,4,14,1,15,1,14,11,15,2,8,3,9,1,10,1,9,1,8,4,9,1,10,1,9,1,8,3,15,1,14,8,15,3,8,3,15,2,8,3,15,3,8,2,15,1,14,13,18,1,8,5,10,16,8,2,10,5,8,2,18,3,15,1,14,3,18,1,8,1,10,6,8,3,18,6,8,1,10,3,8,1,10,14,8,1,10,6,8,1,18,2,8,1,10,9,8,2,10,70,8,5,18,1,14,1,18,3,8,2,10,5,8,2,10,7,15,1,14,2,15,2,14,3,15,1,10,7,8,1,14,3,8,1,10,2,8,1,14,9,16,3,14,3,3,1,16,1,3,1,14,1,15,1,8,2,15,3,14,2,15,1,8,4,15,3,14,4,15,1,8,2,10,9,8,1,14,15,3,3,14,8,17,5,16,4,3,3,16,4,3,1,14,13,15,4,14,17,17,1,14,2,17,1,16,4,17,3,16,12,17,1,16,12,17,1,14,2,17,1,16,6,14,4,16,10,14,18,3,4,14,26,15,4,14,2,15,7,14,7,15,1,18,3,8,11,18,5,8,1,18,1,8,82,10,3,8,12,10,6,8,64,10,1,8,1,10,3,8,19,10,1,8,5,10,38,8,4,10,2,18,4,10,63,8,3,10,11,4,2,19,3,4,17,19,10,4,36,19,8,4,4,10,1,8,1,10,14,9,1,18,1,4,2,19,8,4,6,19,7,4,63,19,9,4,15,19,5,4,1,9,1,10,23,8,2,10,5,8,4,10,13,8,4,10,76,8,3,9,1,18,2,4,4,19,6,4,2,18,2,9,1,10,30,8,5,10,3,8,2,10,6,8,4,10,22,8,2,10,32,8,2,10,26,8,9,10,1,8,11,10,14,8,1,18,2,10,2,8,9,10,2,8,4,10,1,8,9,10,8,8,1,10,52,8,1,10,58,8,6,10,6,8,4,10,2,4,3,19,5,4,53,19,5,4,4,18,1,10,3,8,3,10,16,4,537,},
{4,694,19,2,4,4,10,7,8,11,10,4,8,2,10,9,8,2,10,2,8,24,10,14,8,2,15,8,14,8,15,4,8,4,9,1,10,1,9,1,8,3,9,3,8,4,15,1,14,7,15,2,8,3,15,4,8,1,9,1,8,1,15,2,8,3,15,1,14,4,15,2,14,7,15,1,18,1,8,4,10,16,8,2,10,5,8,1,18,4,15,1,14,3,15,1,8,2,10,4,9,1,8,4,18,5,8,1,10,4,8,1,10,11,8,2,10,7,8,4,10,8,8,3,10,7,8,2,10,28,8,3,10,13,8,2,10,14,8,1,18,5,14,2,18,1,8,2,10,7,8,2,10,6,8,1,14,2,15,1,8,6,10,3,8,3,18,1,15,1,14,2,15,1,8,1,10,2,15,1,14,9,16,2,17,1,14,4,3,1,14,2,8,3,15,2,14,3,15,1,8,4,15,1,8,1,15,1,14,5,15,1,8,2,10,8,8,1,14,2,15,2,14,11,3,1,16,1,3,1,14,6,17,7,3,1,16,2,3,5,16,3,3,1,14,4,15,15,14,12,3,1,17,4,14,1,17,1,16,4,17,1,14,1,17,1,16,24,17,5,16,7,14,3,17,1,16,8,3,1,14,18,3,4,14,17,15,1,14,8,15,13,14,6,15,1,18,1,8,1,18,5,8,7,18,8,8,26,18,1,8,56,10,2,8,12,10,4,8,65,10,7,8,25,10,45,18,2,10,1,8,1,10,60,8,5,10,8,18,1,4,2,19,5,4,16,19,10,4,36,19,6,4,5,18,1,10,1,8,1,10,14,9,1,18,1,4,16,19,8,4,62,19,3,4,3,19,2,4,17,19,4,4,1,18,1,10,29,8,6,10,11,8,5,10,4,8,8,10,34,8,1,10,28,8,6,9,1,4,4,19,6,4,2,18,1,9,1,10,16,8,2,10,12,8,6,10,2,8,5,10,4,8,4,10,22,8,1,10,7,8,2,10,4,8,1,10,18,8,3,10,26,8,8,10,3,8,11,10,2,8,9,10,2,8,3,10,1,8,1,18,1,8,14,10,2,8,8,10,20,8,2,10,28,8,2,10,68,8,6,10,7,8,1,9,1,10,2,4,3,19,6,4,53,19,5,4,6,10,2,18,3,10,16,4,537,},
{4,691,19,5,4,3,10,6,8,13,10,3,8,3,10,9,8,1,10,3,8,1,10,1,8,22,10,14,8,2,15,4,14,10,15,4,8,6,9,1,10,2,8,2,9,1,10,3,8,4,15,1,14,7,15,1,8,3,15,5,8,3,15,2,8,4,14,3,15,6,14,4,15,1,18,1,8,4,10,16,8,2,10,5,8,1,18,1,15,1,14,6,15,1,18,1,8,2,10,6,9,1,10,1,8,2,18,1,8,2,10,16,8,3,10,8,8,3,10,8,8,3,10,7,8,2,10,26,8,5,10,13,8,1,10,14,8,2,18,1,14,2,18,2,14,2,8,1,10,8,8,3,10,6,15,1,14,1,15,1,8,1,10,3,8,3,10,4,8,1,14,3,3,1,14,2,8,3,14,9,17,1,16,2,14,2,15,1,14,4,15,1,8,2,15,5,8,2,10,2,8,2,15,3,14,3,15,4,8,2,10,7,8,1,15,4,14,11,3,1,16,2,3,1,14,5,17,5,14,1,17,1,16,3,3,5,16,1,3,2,14,5,15,1,8,1,15,11,14,16,17,3,14,1,16,6,17,1,16,23,17,2,14,1,17,3,16,18,14,12,3,2,14,7,3,3,14,1,3,1,14,16,15,2,14,6,15,6,14,1,15,7,14,6,15,1,18,1,8,1,18,1,15,2,18,13,8,29,18,2,8,56,10,2,8,85,10,3,8,25,10,110,8,3,10,8,4,3,19,6,4,13,19,16,4,20,19,2,4,11,19,6,4,3,10,19,9,1,18,3,9,1,4,9,10,1,4,3,19,8,4,45,19,2,4,30,19,1,4,9,19,5,4,1,10,28,8,7,10,12,8,3,10,5,8,9,10,33,8,1,10,36,4,3,19,6,4,2,9,1,8,1,10,16,8,3,10,4,8,2,10,5,8,5,10,4,8,3,10,38,8,2,10,5,8,2,10,47,8,8,10,1,8,8,18,1,8,9,18,2,8,2,10,6,8,2,18,1,8,3,18,1,8,9,10,3,8,8,10,20,8,3,10,28,8,1,10,68,8,6,10,7,8,1,18,1,4,4,19,7,4,53,19,8,4,6,18,2,9,1,10,13,8,1,10,1,4,537,},
{4,690,19,6,4,2,10,6,8,19,10,9,8,1,10,6,8,22,10,14,8,1,18,1,15,2,14,8,15,7,8,4,15,1,8,2,9,1,10,2,9,2,10,4,9,1,8,3,15,1,14,6,15,2,8,3,15,5,8,2,15,3,8,4,15,1,14,1,15,2,8,3,18,1,15,1,14,4,15,1,18,2,8,4,10,22,8,1,18,1,14,7,15,1,18,3,8,1,10,8,9,1,8,2,9,1,10,16,8,3,10,9,8,2,10,8,8,2,10,35,9,1,8,4,10,28,8,2,18,1,14,6,18,1,8,1,10,8,8,4,10,4,8,1,14,2,15,1,8,1,10,9,8,1,14,1,3,5,14,1,15,1,8,1,15,1,14,9,17,2,14,3,15,1,14,4,8,3,15,1,14,1,15,1,8,2,10,4,8,1,15,3,14,7,15,1,18,1,8,3,10,5,8,1,15,3,14,12,3,1,16,2,3,2,14,3,17,5,14,2,17,1,16,3,3,1,14,4,3,2,14,6,15,1,8,4,15,5,14,13,3,1,14,1,3,2,14,2,17,4,16,29,17,1,14,4,17,1,16,18,14,12,3,4,14,10,3,3,14,14,15,3,14,5,15,6,14,6,15,2,14,6,15,1,18,1,8,1,15,5,18,9,8,31,18,3,8,3,18,4,8,49,10,1,8,114,10,14,8,1,10,102,4,5,19,7,4,12,19,18,4,18,19,5,4,9,19,6,4,2,10,20,9,1,18,1,9,1,8,1,10,12,4,3,19,7,4,39,19,9,4,18,10,2,4,8,19,5,4,6,19,4,4,2,10,28,8,6,10,25,8,5,10,33,8,1,10,37,4,3,19,2,4,5,10,18,8,3,10,3,8,3,10,5,8,5,10,4,8,4,10,10,8,4,10,23,8,2,10,5,8,2,10,30,8,4,10,6,8,1,10,6,8,11,10,3,8,9,18,1,8,1,18,4,8,2,10,5,8,7,18,2,8,8,10,3,8,8,10,20,8,3,10,33,8,2,10,63,8,6,10,6,9,1,4,1,19,11,4,54,19,11,4,3,18,2,9,1,10,12,8,1,18,1,4,537,},
{4,690,19,4,4,4,10,6,8,18,10,17,8,20,10,3,18,2,10,11,8,1,18,1,15,1,14,10,15,7,8,2,15,3,8,2,10,9,8,3,18,1,15,14,8,4,15,1,14,1,15,1,8,4,15,3,8,5,15,1,14,4,15,1,18,1,8,5,10,22,8,1,18,1,14,8,15,2,14,1,8,1,10,9,9,1,8,2,10,16,8,3,10,10,8,4,10,74,8,2,18,1,14,7,18,1,10,9,8,4,10,3,8,1,15,1,14,2,15,1,8,1,10,9,18,1,14,1,3,5,14,1,15,3,14,7,16,1,17,1,14,10,15,1,8,2,14,3,8,2,10,4,8,1,15,1,14,10,15,1,8,5,10,3,8,2,15,2,14,12,3,4,14,4,17,6,14,2,16,3,14,9,15,2,14,1,15,2,8,1,15,7,14,11,3,8,14,1,17,1,16,1,17,1,14,2,16,11,17,1,14,1,17,1,16,10,17,4,14,4,17,7,16,12,14,7,3,2,14,4,3,4,14,10,3,3,14,14,15,5,14,2,15,7,14,14,15,1,18,2,15,9,18,6,8,23,18,2,8,2,18,1,8,1,18,4,8,2,18,2,15,2,18,2,8,164,10,13,8,3,10,100,4,3,19,9,4,11,19,7,4,1,19,11,4,16,19,11,4,5,19,3,4,5,10,19,8,4,10,13,4,7,19,3,4,38,19,10,4,18,10,5,4,5,19,5,4,5,19,5,4,2,10,29,8,4,10,28,8,2,10,34,8,1,10,37,4,10,10,18,8,3,10,12,8,4,10,3,8,5,10,3,8,2,10,32,8,2,10,6,8,1,10,29,8,5,10,5,8,3,10,6,8,10,10,2,8,9,18,5,8,4,10,4,8,18,10,3,8,7,10,22,8,2,10,33,8,2,10,63,8,8,10,4,9,1,4,1,19,9,4,60,19,8,4,2,18,2,10,13,8,1,4,538,},
{4,690,19,4,4,4,10,5,8,19,10,4,8,1,10,12,8,20,10,2,18,3,10,4,8,2,10,5,8,1,15,1,14,16,15,7,8,2,9,1,10,1,9,1,10,8,8,8,15,5,14,1,15,2,8,1,9,1,8,1,15,2,14,1,15,1,8,2,9,1,8,2,15,2,8,5,15,1,14,2,15,2,8,7,10,22,8,1,18,1,14,8,15,1,14,2,15,1,10,10,8,2,10,16,8,2,10,11,8,5,10,35,8,1,10,37,8,1,18,1,14,7,18,1,8,1,10,10,8,4,10,2,8,1,15,1,14,2,15,1,8,1,10,8,8,1,14,1,3,5,14,3,15,1,14,8,17,1,14,11,15,3,14,1,3,1,14,1,8,1,10,3,8,2,15,1,14,10,15,1,8,7,10,3,8,1,15,2,14,20,3,1,17,4,14,3,17,1,16,2,14,8,15,9,14,1,15,3,14,11,3,2,16,2,3,1,17,1,3,3,17,1,16,3,3,1,14,2,16,10,17,1,14,2,17,1,16,9,17,1,14,1,17,1,14,4,17,1,16,2,17,2,14,3,16,10,14,8,3,1,16,2,14,18,3,3,14,5,3,1,14,8,15,13,14,15,15,1,18,2,15,9,18,3,8,26,18,10,8,2,18,2,15,3,18,1,8,6,18,2,8,142,10,2,8,13,10,11,8,3,10,100,4,2,19,10,4,11,19,7,4,3,19,10,4,16,19,12,4,11,10,20,8,4,10,15,4,46,19,10,4,18,10,6,4,4,19,6,4,4,19,5,4,2,10,29,8,3,10,63,8,4,10,36,4,10,10,18,8,3,10,13,8,3,10,2,8,13,10,22,8,2,10,5,8,4,10,21,8,1,10,13,8,5,10,5,8,3,10,6,8,10,10,2,8,8,18,5,8,1,10,1,8,3,10,4,8,18,10,4,8,1,10,4,8,1,10,19,8,1,10,37,8,2,10,63,8,4,9,1,8,1,9,3,4,2,10,1,4,1,19,10,4,60,19,8,4,3,18,2,4,1,10,6,4,1,10,4,4,539,},
{4,690,19,3,4,4,10,1,8,2,10,2,8,20,10,4,8,1,10,12,8,13,10,2,8,5,10,2,18,3,10,3,18,2,8,1,10,5,8,1,15,1,14,22,15,1,18,1,8,5,10,7,8,3,10,3,8,3,15,3,14,3,15,1,8,1,9,1,8,1,15,2,14,1,15,1,8,1,9,1,10,1,8,2,15,5,18,2,15,4,8,2,10,3,8,3,10,2,8,1,10,19,8,1,18,1,14,5,15,2,14,4,15,1,10,41,8,2,18,2,8,2,10,34,8,1,10,37,8,1,18,1,14,3,18,1,14,3,18,1,10,12,8,3,10,2,8,1,15,1,14,1,15,1,8,2,10,7,8,1,15,1,3,4,14,17,15,3,14,6,15,2,14,1,3,2,14,1,8,1,10,3,8,1,15,1,14,3,15,2,14,3,3,1,14,2,15,1,8,1,10,2,8,1,18,2,8,1,10,3,8,1,15,2,14,21,17,2,14,7,17,2,14,7,15,6,14,17,3,2,16,4,3,4,16,5,17,2,16,11,17,1,14,1,17,1,16,3,17,2,16,3,17,2,14,5,16,4,17,1,14,4,16,5,14,2,16,2,14,9,3,1,16,1,3,1,14,18,3,2,14,6,3,1,14,8,15,12,14,16,15,2,18,1,15,7,18,4,8,26,18,11,8,2,18,1,15,4,18,2,8,5,18,1,8,10,18,2,8,130,10,4,8,12,10,113,18,1,4,2,19,9,4,12,19,6,4,4,19,10,4,15,19,13,4,7,18,2,10,22,8,3,10,21,4,3,19,7,4,27,19,14,4,18,10,7,4,3,19,6,4,3,19,6,4,1,10,46,8,2,10,46,8,6,10,64,8,2,10,15,8,18,10,21,8,4,10,2,8,6,10,6,8,4,10,10,8,1,10,14,8,12,10,6,8,9,10,2,8,5,10,3,8,1,18,4,8,1,10,4,8,2,10,3,8,18,10,29,8,2,10,101,8,3,10,1,4,10,19,9,4,60,19,9,4,19,19,1,4,535,},
{4,690,19,2,4,4,18,1,10,1,8,2,10,2,8,4,10,1,8,15,10,4,8,1,10,6,8,3,10,3,8,13,10,2,8,5,18,5,10,3,18,3,8,1,10,4,8,1,15,1,14,23,15,1,18,2,8,6,10,4,8,2,9,1,10,4,9,1,8,2,15,7,8,2,15,2,14,1,15,1,8,1,9,1,10,1,8,4,15,3,14,1,15,1,18,1,8,4,10,5,8,6,10,18,8,2,18,1,14,2,15,4,14,4,15,1,8,1,10,22,8,2,10,16,8,2,18,3,8,1,10,72,18,1,14,3,18,2,15,1,14,1,18,1,8,1,10,16,8,2,15,3,8,5,10,4,8,1,14,1,3,3,14,7,15,4,14,6,15,4,14,5,15,2,14,2,3,2,14,1,8,1,10,2,8,2,15,1,14,2,15,4,14,2,3,2,14,1,8,1,10,3,8,1,18,2,8,1,10,3,8,1,15,1,14,31,16,3,17,1,14,7,15,3,14,12,17,1,14,5,3,2,16,4,3,4,16,6,17,2,16,5,17,3,16,2,17,7,16,3,17,8,16,5,17,1,14,3,16,5,14,2,16,2,14,5,3,6,14,27,3,1,14,8,15,10,14,19,15,1,18,1,15,3,18,4,8,30,18,4,8,9,18,2,15,3,18,2,8,14,18,2,15,2,18,1,8,129,10,5,8,5,10,1,8,5,10,113,4,2,19,9,4,4,19,4,4,5,19,5,4,6,19,9,4,14,19,14,4,4,10,3,8,4,10,21,8,2,10,22,4,2,19,8,4,26,19,12,4,4,10,8,4,8,10,8,4,3,19,4,4,3,19,7,4,1,10,4,8,2,10,38,8,4,10,42,8,10,10,82,8,15,10,23,8,8,10,2,8,3,10,5,8,4,10,2,8,2,10,20,8,13,10,6,8,9,10,2,8,5,10,2,8,2,18,2,8,2,10,1,8,2,10,2,8,3,10,3,8,4,10,2,8,11,10,25,8,2,10,2,8,2,10,101,8,2,9,1,4,2,19,6,4,3,19,9,4,60,19,17,4,4,19,9,4,534,},
{4,686,19,6,4,2,18,1,10,3,8,2,10,2,8,3,10,2,8,15,10,4,8,1,10,5,8,4,10,3,8,13,10,2,8,5,18,3,10,1,18,1,10,2,8,1,18,2,15,1,8,1,10,4,8,1,15,1,14,23,15,1,18,4,8,6,10,1,8,4,10,3,9,1,8,5,18,1,15,3,14,2,15,5,8,1,9,2,8,4,15,2,14,3,8,5,10,5,8,6,10,19,8,1,18,1,15,4,14,6,15,1,18,1,8,3,10,18,8,4,10,15,8,2,18,3,8,2,10,16,8,3,10,52,18,1,14,2,15,1,18,2,15,1,14,1,18,1,8,1,10,15,8,2,15,3,8,6,10,4,8,1,14,1,3,2,14,2,18,1,15,1,14,4,15,6,14,12,15,1,8,2,15,1,14,1,3,2,14,1,8,1,10,2,8,2,15,7,14,2,3,2,14,1,8,1,10,3,8,4,10,3,8,1,15,1,14,31,16,4,17,1,14,12,17,3,14,6,17,2,14,4,3,2,16,4,3,4,16,6,14,4,17,1,14,5,17,1,16,2,17,1,14,2,17,1,16,5,17,4,16,10,17,3,16,5,14,2,16,1,3,1,14,5,3,2,14,31,3,1,14,9,15,7,14,21,15,1,18,5,8,33,18,3,8,11,18,5,8,16,18,5,8,130,10,3,8,11,10,18,8,4,10,1,8,3,10,87,4,2,19,8,4,2,19,8,4,15,19,9,4,14,19,9,4,9,18,1,8,1,10,22,8,2,10,2,8,1,10,23,4,2,19,10,4,22,19,11,4,7,10,8,4,8,10,9,4,4,19,3,4,2,19,7,4,1,10,4,8,2,10,37,8,5,10,42,8,10,10,65,8,1,10,12,8,1,10,4,8,13,10,25,8,3,10,2,8,2,10,1,8,5,10,4,8,4,10,2,8,3,10,17,8,15,10,6,8,7,10,4,8,4,10,3,8,1,18,3,10,3,8,2,10,2,8,1,18,1,8,1,10,2,8,5,10,10,8,3,10,6,8,2,10,2,8,2,10,13,8,2,10,2,8,2,10,101,8,1,9,1,18,1,4,2,19,18,4,62,19,28,4,534,},
{4,686,19,5,4,3,10,5,8,6,10,4,8,17,10,5,8,6,10,1,8,21,10,1,18,4,10,3,18,3,8,1,10,4,8,1,15,2,14,21,15,1,14,3,18,2,8,5,10,2,8,10,9,2,8,3,15,2,14,4,15,1,14,1,15,1,8,8,15,1,14,2,15,1,8,1,10,1,8,2,10,6,8,6,10,19,8,2,15,3,14,7,15,2,18,2,8,2,10,17,8,6,10,12,8,9,10,15,8,3,10,51,8,1,18,1,14,2,18,3,15,1,14,1,18,1,10,16,8,1,15,1,14,3,15,1,8,5,10,3,8,1,15,1,14,1,3,2,14,1,18,1,8,3,15,8,14,12,15,1,8,3,18,1,14,1,3,2,14,1,18,1,8,1,10,2,8,5,15,3,14,5,8,1,10,4,8,2,10,3,8,1,15,1,14,14,3,3,14,15,16,4,17,1,14,2,17,1,16,2,17,1,14,5,17,1,16,3,17,1,14,5,17,2,14,4,3,2,16,5,3,3,16,5,17,1,14,11,17,2,14,5,17,1,16,1,17,7,16,10,17,2,16,5,14,8,3,2,14,43,15,5,14,22,15,1,18,2,8,36,18,3,8,11,18,4,8,18,18,3,8,113,18,3,8,16,10,3,8,10,10,18,8,8,10,87,4,2,19,8,4,2,19,8,4,10,10,3,4,2,19,9,4,14,19,7,4,7,18,4,8,2,10,23,8,1,10,26,4,3,19,9,4,22,19,8,4,8,10,14,4,3,10,11,9,1,18,1,4,2,19,2,4,2,19,6,4,2,10,4,8,2,10,28,8,1,10,8,8,4,10,50,8,4,10,74,8,5,10,3,8,12,10,31,8,8,10,5,8,3,10,2,8,4,10,7,8,3,10,5,8,15,10,7,8,7,10,5,8,3,10,1,8,2,18,2,8,1,10,3,8,3,10,2,8,9,10,11,8,2,10,7,8,2,10,2,8,2,10,13,8,2,10,3,8,1,10,100,8,2,18,1,4,3,19,15,4,67,19,26,4,534,},
{4,685,19,6,4,2,10,7,8,2,10,1,8,3,10,8,8,8,10,1,8,2,10,6,8,28,10,2,18,3,10,3,8,1,18,2,8,1,10,4,8,2,15,1,14,21,15,1,14,3,18,2,8,5,10,2,8,2,18,2,8,6,9,1,10,2,9,1,8,2,15,1,14,7,15,1,8,8,15,2,8,1,10,10,8,6,10,20,8,1,15,2,14,8,15,4,18,1,8,1,10,16,8,8,10,10,8,7,10,1,8,1,18,1,8,1,10,13,8,3,10,52,8,1,18,1,15,1,14,1,18,3,15,2,8,1,10,9,8,4,10,3,8,1,15,1,14,4,15,3,8,2,10,3,8,1,14,2,3,2,14,1,18,1,8,1,10,3,8,2,15,1,14,15,15,1,8,2,15,2,18,1,14,4,18,1,8,1,10,4,8,3,15,1,14,7,15,1,8,1,10,8,8,1,14,14,3,3,14,16,16,4,17,1,14,2,17,1,16,5,17,1,14,2,16,5,17,1,14,2,17,5,14,4,3,2,16,5,3,2,16,4,14,9,15,1,14,11,17,1,14,7,17,1,16,2,17,2,16,5,17,1,14,12,3,1,16,1,3,1,14,44,15,5,14,9,15,1,14,2,15,4,14,5,15,2,18,1,8,52,18,2,8,134,18,4,8,16,10,3,8,10,10,18,8,8,10,86,4,9,19,12,4,3,18,4,10,6,4,2,19,9,4,11,19,10,4,2,10,5,18,1,8,1,10,1,8,1,10,22,8,1,10,2,8,1,10,26,4,3,19,9,4,22,19,7,4,4,10,34,9,1,18,1,4,5,19,5,4,2,8,2,10,3,8,3,10,27,8,2,10,8,8,3,10,53,8,2,10,73,8,5,10,3,8,10,10,33,8,8,10,20,8,4,10,5,8,7,10,4,8,4,10,7,8,7,10,9,8,2,18,1,8,1,10,2,8,4,10,2,8,3,10,2,8,4,10,13,8,1,10,7,8,2,10,2,8,2,10,13,8,2,10,104,8,1,18,1,4,4,19,10,4,74,19,23,4,535,},
{4,684,19,6,4,2,10,4,8,2,10,2,8,2,10,1,8,5,10,6,8,4,10,14,8,27,10,9,8,3,10,5,8,2,15,1,14,3,15,1,14,15,15,2,14,3,18,1,8,5,10,3,8,1,18,4,8,6,9,1,10,2,9,1,8,2,15,2,14,6,15,2,8,3,9,1,8,4,10,37,8,1,15,1,14,5,3,2,14,6,15,1,8,3,10,8,8,1,10,4,8,6,18,2,8,1,10,9,8,5,10,4,8,1,18,2,10,13,8,2,10,11,8,5,9,1,10,26,8,2,10,9,18,5,15,2,18,1,8,1,10,9,8,1,18,1,8,2,10,3,8,1,14,3,3,1,14,5,8,1,10,3,8,1,14,1,3,3,14,1,18,1,8,1,10,4,8,1,15,1,14,8,17,3,14,4,15,1,8,2,15,1,14,1,18,2,14,3,15,1,8,1,10,6,8,1,15,1,14,8,15,1,8,1,10,6,8,1,15,1,14,8,3,2,14,4,3,1,14,18,16,4,17,3,16,8,17,1,16,13,14,4,3,2,16,5,3,2,16,3,14,31,17,2,14,2,17,1,16,3,17,1,14,12,3,1,16,2,3,1,14,2,15,1,14,55,15,7,14,5,15,1,18,2,8,52,18,3,8,132,18,6,8,15,10,7,8,5,10,19,8,8,10,85,4,10,19,11,4,3,18,1,10,11,4,1,19,9,4,10,19,10,4,2,10,32,8,1,10,16,8,2,10,11,4,4,19,8,4,22,19,7,4,2,10,37,4,6,19,5,4,1,10,6,8,3,10,27,8,1,10,65,8,2,10,73,8,4,10,4,8,4,10,39,8,10,10,17,8,4,10,6,8,6,10,7,8,2,10,6,8,10,10,6,8,4,10,2,8,4,10,2,8,4,10,3,8,2,10,5,8,1,10,7,8,1,10,8,8,2,10,2,8,2,10,62,8,2,10,55,9,1,18,1,4,4,19,10,4,74,19,23,4,535,},
{4,684,19,5,4,3,10,4,8,2,10,2,8,2,10,1,8,6,10,5,8,4,10,16,8,25,10,18,8,1,15,1,14,3,15,1,14,15,15,3,14,2,18,1,8,4,10,4,8,1,18,3,8,9,9,1,10,1,9,2,8,2,15,1,14,5,15,3,8,3,10,1,8,1,9,1,10,29,8,4,10,5,8,1,15,1,14,5,3,2,14,6,15,2,8,5,10,3,8,4,10,3,8,6,18,2,8,1,10,8,8,5,10,3,8,2,18,3,10,12,9,1,8,1,10,12,8,3,18,2,8,2,10,11,9,1,10,9,8,1,10,3,8,2,10,4,8,1,10,4,8,1,18,4,14,1,15,1,8,1,10,9,8,2,18,1,8,2,10,3,8,1,14,2,3,4,14,1,3,1,14,2,8,1,10,1,8,1,15,1,14,1,3,3,14,1,18,1,10,5,8,1,15,1,14,3,3,2,14,10,15,1,8,2,15,1,14,1,18,2,14,4,8,1,10,6,8,1,15,1,14,8,15,1,8,2,10,3,8,3,14,8,3,3,14,14,3,1,17,1,16,1,17,4,14,2,16,5,17,1,16,23,17,1,14,3,3,2,16,5,3,3,14,39,17,2,14,13,3,1,16,1,3,1,14,3,15,1,14,55,15,7,14,5,15,1,18,1,8,1,18,3,8,48,18,4,8,134,18,3,8,17,10,6,8,5,10,20,8,2,10,90,4,10,19,9,4,5,10,12,4,1,19,9,4,10,19,9,4,3,10,32,8,1,10,15,8,4,10,10,4,5,19,7,4,22,19,6,4,2,10,39,4,6,19,4,4,1,10,5,8,4,10,94,8,1,10,73,8,3,10,5,8,4,10,23,8,2,10,13,8,12,10,15,8,5,10,7,8,6,10,6,8,3,10,3,8,8,10,1,8,5,10,4,8,4,10,2,8,3,10,2,8,4,10,11,8,1,10,8,8,1,10,7,8,1,10,3,8,2,10,62,8,2,10,55,9,1,18,1,4,4,19,10,4,75,19,19,4,538,},
{4,684,19,4,4,4,10,8,8,2,10,1,8,6,10,4,8,5,10,9,8,4,10,3,8,24,10,19,8,1,15,1,14,3,15,1,14,14,15,3,18,4,8,5,10,3,8,1,18,3,8,3,18,4,8,2,9,1,10,5,9,1,15,1,14,3,15,2,14,2,15,1,8,4,10,5,8,3,10,21,8,5,10,4,8,2,15,1,14,5,3,3,14,6,15,2,18,2,8,6,18,2,8,2,10,2,8,6,18,1,8,2,10,4,8,6,10,6,8,1,18,3,8,1,10,8,8,2,10,2,8,2,10,12,8,3,18,3,8,1,9,1,10,7,9,2,8,2,9,1,10,12,18,2,10,3,8,2,10,4,8,4,18,1,14,1,18,1,8,1,10,9,8,4,10,4,8,1,14,2,3,7,14,2,8,2,14,1,3,1,16,1,3,2,18,1,8,1,10,5,8,1,15,1,14,15,15,1,8,2,15,1,14,7,18,1,10,5,8,3,15,1,14,8,15,1,8,5,15,1,14,8,3,4,14,14,17,1,16,6,17,3,16,9,17,1,16,19,3,5,16,4,3,3,14,13,17,1,14,41,3,1,14,61,15,2,14,1,15,3,14,6,15,1,18,1,8,1,18,2,15,1,18,2,8,47,15,3,8,13,18,1,8,140,10,7,8,3,10,9,8,5,10,6,8,1,10,91,9,1,4,10,19,7,4,4,10,14,9,1,4,1,19,8,4,11,19,8,4,4,10,41,8,2,10,4,8,5,10,11,4,7,19,4,4,23,19,1,4,6,10,40,4,10,10,3,8,6,10,168,8,3,10,3,8,7,10,3,8,2,10,33,8,12,10,13,8,6,10,7,8,6,10,5,8,14,10,3,8,4,10,3,8,4,10,2,8,3,10,3,8,1,18,2,8,1,10,19,8,2,10,11,8,1,10,40,8,2,10,21,8,2,10,55,9,1,4,5,19,9,4,85,19,4,4,1,19,2,4,1,19,1,4,539,},
{4,684,19,4,4,3,10,10,8,1,10,1,8,7,10,3,8,5,10,8,8,5,10,3,8,25,10,18,8,1,15,1,14,17,15,4,18,2,14,1,18,2,8,4,10,3,8,1,18,3,8,3,18,4,8,2,9,1,10,6,8,2,15,4,14,3,15,2,8,3,10,3,8,5,10,20,8,1,18,3,8,1,10,4,8,2,15,1,14,2,15,1,14,3,3,3,14,7,15,3,18,1,8,4,15,1,14,1,18,1,8,1,10,3,8,7,10,4,8,6,10,6,8,1,18,4,8,1,10,8,8,2,10,2,8,2,10,12,9,1,8,6,10,6,9,1,8,1,18,2,8,3,9,1,10,10,8,1,18,2,8,5,10,4,8,4,18,1,14,1,18,1,10,10,8,3,10,5,8,1,14,3,3,1,14,4,3,2,14,4,3,1,16,1,3,1,14,1,8,1,10,6,8,1,15,1,14,16,8,2,15,1,14,2,3,1,14,2,3,1,14,1,8,1,10,3,8,5,15,1,14,8,15,1,8,3,15,1,14,10,3,4,14,5,3,3,14,6,3,1,16,6,17,4,16,7,17,1,14,1,17,1,16,25,3,5,14,19,17,1,14,10,17,1,14,33,15,1,14,64,15,1,18,1,8,1,15,3,18,4,8,39,18,2,8,2,18,2,15,3,18,2,8,9,18,5,8,137,10,20,8,7,10,2,8,4,10,90,8,1,4,10,19,6,4,3,18,1,10,16,4,1,19,7,4,12,19,6,4,5,10,42,8,2,10,3,8,4,10,17,4,35,10,43,4,9,10,2,8,6,10,55,18,4,10,1,4,2,10,14,8,1,10,8,4,9,10,75,8,14,10,1,8,4,10,33,8,15,10,9,8,9,10,3,8,26,10,5,8,3,10,2,8,3,10,2,8,2,10,4,8,7,10,5,8,2,10,10,8,2,10,3,8,2,10,9,8,2,10,10,8,2,10,24,8,2,10,52,8,1,10,25,18,1,4,3,19,8,4,636,},
{4,684,19,4,4,2,10,12,8,8,10,2,8,5,10,9,8,6,10,2,8,24,10,19,8,1,15,1,14,12,16,2,14,3,15,5,18,1,14,2,15,1,18,3,8,2,10,2,8,1,18,7,15,1,18,2,8,3,9,1,10,5,9,1,8,5,15,1,14,4,15,2,8,1,10,2,8,1,18,1,15,1,18,1,8,3,10,18,8,7,10,2,8,2,15,1,14,7,3,3,14,8,15,2,18,1,8,3,18,1,14,3,8,2,10,1,8,8,10,5,8,6,10,5,8,1,18,1,14,1,18,1,8,1,10,9,18,2,10,2,8,2,10,15,8,3,10,5,9,1,8,12,10,7,8,1,18,1,14,1,18,1,8,4,10,4,8,5,15,1,8,1,10,9,8,3,10,6,18,1,14,7,3,4,14,2,3,1,16,2,3,1,18,1,10,7,8,2,15,1,14,12,3,1,17,1,14,2,8,2,15,1,14,5,18,1,8,1,10,3,8,6,14,9,15,2,14,12,3,3,14,7,3,1,14,6,17,1,16,10,17,2,16,6,17,1,14,2,16,16,17,1,16,7,3,5,14,20,17,1,14,10,17,2,14,97,15,1,18,1,8,1,15,3,18,4,8,38,18,3,8,2,18,1,15,5,8,9,18,2,15,2,18,2,8,138,10,14,8,1,10,3,8,14,10,11,8,1,10,68,8,1,10,10,18,1,4,17,10,17,9,1,4,1,19,7,4,13,19,2,4,7,10,43,8,2,10,3,8,2,10,22,4,28,10,48,4,8,10,2,8,1,10,22,4,52,18,1,8,3,9,3,8,2,10,2,8,3,10,1,4,16,10,69,8,4,10,1,8,8,10,4,8,2,10,19,8,1,10,14,8,14,10,2,8,3,10,3,8,10,10,3,8,24,10,8,8,6,10,2,8,3,10,2,8,10,10,4,8,2,10,16,8,3,10,4,8,1,10,4,8,1,10,8,8,3,10,24,8,2,10,9,8,1,10,68,4,4,19,7,4,637,},
{4,690,10,11,8,8,10,3,8,5,10,8,8,31,10,21,8,2,15,2,14,10,3,2,14,14,15,2,8,6,15,7,8,6,10,4,8,2,10,4,8,1,15,1,14,4,15,2,8,2,18,1,15,2,18,2,8,2,10,3,8,3,10,11,8,10,18,1,15,1,14,8,3,2,14,8,15,1,18,2,8,2,18,2,15,1,14,3,18,1,8,5,10,2,8,4,10,7,8,3,10,5,8,1,14,2,18,1,8,1,10,8,8,1,18,2,8,1,10,14,9,2,10,3,8,1,9,1,10,4,18,2,8,1,9,1,10,3,9,3,10,2,8,2,10,8,8,1,18,2,8,1,10,2,8,1,10,4,8,1,18,2,8,2,18,1,8,1,10,8,8,4,10,6,15,1,14,3,8,2,15,1,14,1,3,1,16,1,3,1,14,3,16,2,3,1,14,1,8,1,10,2,8,3,10,3,8,1,15,1,14,2,3,2,14,9,3,2,14,1,15,1,8,2,18,6,8,1,10,3,8,1,10,3,8,1,15,1,14,2,3,2,14,11,3,3,14,21,17,1,16,4,17,3,16,5,17,1,16,6,17,1,14,2,16,15,17,3,16,2,17,1,14,2,17,2,14,54,3,1,16,1,3,1,14,17,3,2,14,3,15,2,14,51,15,2,18,1,8,2,18,1,15,2,18,3,8,33,18,8,8,3,15,5,8,3,15,1,18,3,8,4,15,4,18,1,8,10,18,2,8,128,10,12,8,1,10,2,8,5,10,4,8,2,10,13,8,3,10,5,8,2,10,2,8,3,10,68,4,16,10,17,8,1,10,1,4,1,19,3,4,24,10,74,4,27,10,80,9,1,18,1,4,13,19,9,4,1,19,25,4,5,18,2,9,1,18,3,8,2,10,1,8,1,10,4,4,20,10,103,8,1,10,16,8,4,10,10,8,43,10,8,8,6,10,1,8,4,10,3,8,8,10,13,8,1,10,10,8,3,10,2,18,2,8,1,10,3,8,2,10,6,8,2,10,37,8,2,10,11,8,2,10,54,4,4,19,7,4,637,},
{4,687,10,13,8,4,10,9,8,1,18,1,8,1,10,9,8,11,18,1,8,1,10,2,8,2,18,1,8,2,10,2,8,8,10,22,8,1,9,1,8,1,15,1,14,2,3,2,14,5,3,1,16,2,14,15,15,5,8,2,15,7,8,6,10,3,9,1,8,3,10,4,8,1,15,2,14,3,15,2,14,4,15,1,18,2,8,4,18,1,15,1,18,1,8,1,10,5,8,1,10,4,8,5,10,1,8,2,10,1,8,1,15,1,14,4,3,1,14,7,15,2,14,3,15,3,18,6,15,5,8,4,10,3,8,1,18,1,8,2,10,7,8,4,10,4,8,1,18,2,8,2,10,8,8,1,18,2,8,2,10,13,8,2,9,1,10,2,9,1,10,4,9,1,18,3,10,9,8,2,10,9,18,1,14,1,18,1,10,2,8,2,10,4,8,1,18,2,8,3,10,2,8,2,10,4,8,1,18,1,8,2,10,5,8,1,15,1,14,2,18,1,8,2,18,1,14,1,3,2,14,4,16,2,14,1,8,1,10,3,8,3,10,4,18,1,14,2,3,2,14,5,3,1,14,3,3,2,14,2,8,6,18,2,10,4,8,1,10,3,8,1,14,2,3,3,14,11,3,3,14,20,17,2,16,4,17,3,16,5,17,2,16,5,17,1,14,2,16,7,17,1,14,71,3,1,16,1,3,1,14,17,3,1,16,2,14,2,15,1,8,1,15,2,14,49,15,2,18,1,8,3,18,4,8,34,18,8,8,3,15,5,8,3,15,3,18,1,8,4,18,1,15,3,18,1,8,9,18,3,8,128,10,12,8,7,10,19,8,3,10,6,8,2,10,2,8,2,10,2,8,2,10,98,8,1,9,1,4,16,10,106,18,1,9,1,10,85,9,1,4,13,19,37,4,4,18,6,8,2,10,2,18,2,4,9,19,7,4,7,10,133,8,10,10,2,8,15,10,1,8,15,10,8,8,5,10,2,8,3,10,4,8,1,10,20,8,2,10,5,8,1,10,3,8,2,18,1,8,1,10,1,18,2,8,1,10,11,8,2,10,37,8,3,10,10,8,2,10,52,18,2,4,4,19,6,4,638,},
{4,684,10,16,8,4,10,8,8,3,10,10,8,11,18,1,8,1,10,1,8,6,10,1,8,8,10,16,8,2,10,4,9,1,8,1,9,1,8,1,15,1,14,2,3,1,14,4,3,1,16,5,14,17,15,3,8,1,15,1,14,3,15,1,14,1,15,2,8,6,10,2,8,1,15,2,8,1,10,5,8,2,18,1,15,2,14,6,15,2,18,3,8,1,18,1,15,1,14,1,15,1,8,1,10,9,8,2,18,1,15,1,8,4,10,3,8,1,15,1,14,11,15,1,14,1,15,1,18,1,8,3,18,1,15,3,18,2,8,3,18,1,15,2,8,4,10,3,8,2,18,1,8,2,10,7,8,3,10,4,8,1,18,1,8,3,10,8,8,1,18,2,8,3,10,12,8,5,9,1,10,4,9,1,18,3,9,1,10,8,8,1,10,9,8,1,18,1,14,2,8,2,18,1,8,1,10,4,8,3,18,2,8,4,10,4,8,2,18,1,8,2,10,5,8,1,15,1,14,2,8,3,15,1,14,3,15,1,8,2,14,1,3,2,14,1,8,1,10,4,8,2,10,4,8,1,14,3,3,1,14,9,3,2,14,2,15,1,8,4,18,1,14,1,18,1,8,1,10,3,8,2,10,2,8,1,14,1,3,3,14,13,3,1,14,1,18,2,14,19,17,2,16,2,17,4,16,1,17,2,16,9,14,2,17,1,16,7,14,47,3,2,14,23,3,2,14,19,16,2,3,1,14,1,15,1,8,3,15,1,14,48,15,2,18,1,15,1,18,1,8,40,18,7,8,3,15,10,18,2,8,4,18,1,15,2,18,2,8,10,18,3,8,127,10,12,8,4,10,3,8,5,10,1,8,8,10,4,8,4,10,7,8,1,10,1,8,2,10,3,8,3,10,72,8,3,10,24,8,1,4,3,10,3,9,8,8,1,10,194,4,13,19,37,4,4,18,2,9,1,8,1,9,2,8,2,10,2,4,5,19,3,4,2,19,13,4,6,10,132,8,6,10,4,8,13,10,3,8,14,10,5,8,8,10,6,8,3,10,8,8,3,10,10,8,2,10,4,8,2,10,3,8,4,10,1,18,2,8,1,10,50,8,3,10,64,4,4,19,8,4,638,},
{4,684,10,15,8,5,10,8,8,1,10,4,8,2,10,5,8,12,18,1,8,1,10,1,8,6,10,1,8,8,10,15,8,1,18,2,8,1,10,3,9,3,8,1,15,1,14,6,3,1,16,5,14,7,15,1,18,2,15,3,14,7,15,3,14,6,15,2,18,3,8,4,18,1,14,2,15,1,8,1,10,6,8,2,18,1,14,6,15,6,14,4,18,1,8,1,10,8,8,1,18,1,14,2,15,1,8,4,10,3,8,1,15,1,14,3,15,4,14,5,15,1,8,4,18,1,15,1,14,3,18,1,8,4,18,2,8,4,10,3,8,7,10,5,8,3,10,5,8,2,10,10,8,5,10,2,8,3,9,1,10,7,9,2,8,1,18,1,8,1,10,5,8,1,18,3,8,1,10,18,8,1,14,1,3,2,18,1,8,1,18,1,8,1,10,6,8,1,18,5,8,10,10,4,8,1,15,1,14,3,15,1,8,1,15,1,14,4,8,3,15,1,14,3,18,1,10,4,8,2,10,4,8,1,14,5,15,1,18,1,14,11,18,1,8,3,18,1,14,2,8,1,10,2,8,3,10,2,8,1,14,1,3,3,14,4,15,1,14,32,17,8,14,1,17,1,16,4,17,1,16,4,17,3,16,5,17,1,14,3,15,5,14,86,3,1,16,2,14,2,15,1,8,2,15,1,14,36,15,4,14,8,15,4,18,1,8,42,18,4,8,4,15,10,18,3,8,3,18,4,8,4,18,4,8,3,18,3,8,58,10,1,8,65,10,1,8,3,10,12,8,2,10,4,8,5,10,1,8,16,10,7,8,4,10,3,8,3,10,70,8,5,10,34,8,2,10,175,8,1,10,22,4,13,19,37,4,4,18,1,9,1,10,5,8,2,9,1,4,2,19,6,4,2,19,17,4,5,10,132,8,4,10,4,8,12,10,4,8,15,10,2,8,5,10,1,8,1,10,7,8,4,10,8,8,4,10,9,8,2,10,4,8,2,10,3,8,4,10,2,18,1,8,1,10,37,8,1,10,12,8,2,10,65,4,3,19,9,4,638,},
{4,677,19,5,4,2,10,13,8,7,10,3,18,1,10,8,8,3,10,4,8,13,18,1,8,1,10,1,8,6,10,2,8,8,10,14,8,1,18,2,8,1,10,6,8,1,15,1,14,5,3,1,16,3,3,1,14,8,15,1,8,5,15,2,14,7,15,1,14,8,15,5,8,3,15,1,14,3,8,2,10,6,8,2,15,1,14,3,15,2,18,3,15,1,14,6,18,1,8,1,10,8,8,1,18,1,14,2,15,2,18,2,8,1,10,4,8,7,18,1,15,1,14,4,15,1,8,2,18,1,15,6,18,1,8,4,18,2,8,4,10,4,8,6,10,5,8,5,10,3,8,1,10,18,8,1,18,1,8,1,9,1,10,9,8,1,18,1,8,1,10,3,9,1,10,1,8,1,18,3,8,1,10,18,8,1,14,1,3,2,18,1,8,1,18,1,8,1,10,6,8,1,14,1,15,1,18,1,14,1,15,1,8,7,10,6,8,2,14,10,15,1,8,4,14,3,15,1,8,1,10,3,8,2,10,4,8,1,14,5,18,1,8,1,15,1,14,10,15,1,18,3,14,3,8,1,10,1,8,2,18,2,8,2,15,1,14,1,3,2,14,27,15,1,14,6,17,2,14,1,17,4,14,3,17,2,14,1,17,1,16,4,17,2,16,10,17,1,14,2,15,5,14,52,3,1,14,36,16,2,3,1,14,2,15,3,14,36,15,4,14,8,15,4,18,1,8,42,18,5,8,1,15,11,8,2,18,9,8,3,18,5,8,2,18,4,8,57,10,3,8,64,10,2,8,3,10,11,8,2,10,4,8,22,10,7,8,2,18,1,8,2,10,3,8,1,10,64,8,10,10,212,8,3,10,21,4,6,19,8,4,22,19,14,4,4,18,1,10,3,18,1,10,2,8,2,10,1,4,2,19,6,4,2,19,18,4,4,10,132,8,5,10,4,8,12,10,1,8,19,10,14,8,4,10,7,8,5,10,10,8,1,10,4,8,2,10,3,8,5,10,1,8,2,10,51,8,1,10,65,4,2,19,10,4,638,},
{4,676,19,6,4,2,10,13,8,7,10,11,8,4,10,4,8,13,18,1,8,8,10,2,8,8,10,14,8,1,18,2,8,1,10,6,8,1,18,1,14,4,3,2,16,2,3,1,14,9,15,1,8,1,10,2,9,2,8,2,15,2,14,18,15,1,18,1,8,2,15,1,14,3,15,1,8,2,10,7,8,1,18,1,15,1,18,1,8,5,18,1,14,5,18,1,8,1,10,8,8,1,18,1,14,7,15,1,8,1,10,4,8,1,9,1,10,2,8,2,18,2,14,5,15,3,14,1,15,1,18,2,15,3,8,9,10,5,8,6,10,6,8,1,18,3,8,1,10,21,8,1,18,1,8,1,10,10,8,3,10,3,8,1,10,1,8,2,18,2,8,1,10,18,18,1,14,1,3,2,18,1,8,3,10,6,18,1,14,1,15,2,14,1,15,1,8,2,15,2,8,2,10,7,8,1,15,1,14,1,3,1,16,1,3,5,14,3,15,1,8,1,15,3,14,3,18,1,8,1,10,2,8,2,10,4,18,1,14,4,18,1,8,3,18,1,15,3,18,2,15,1,18,1,15,3,18,5,8,2,10,2,8,1,18,4,15,1,14,22,3,1,14,7,15,2,14,4,17,3,14,2,17,1,14,6,17,3,16,2,17,2,14,2,17,1,16,8,17,1,14,2,15,1,8,2,15,1,14,32,3,3,14,18,3,3,14,35,3,1,16,2,3,1,14,39,15,6,14,2,15,7,18,1,15,1,18,1,8,42,18,6,15,3,8,1,15,6,8,4,18,1,15,1,18,2,15,1,18,3,8,2,18,6,8,2,18,3,8,58,10,3,8,64,10,2,8,3,10,6,8,2,10,3,8,3,10,4,8,21,10,7,8,2,18,1,8,2,10,21,8,2,10,45,8,7,10,27,8,1,10,187,8,4,10,21,18,1,4,4,19,8,4,32,19,3,4,4,18,1,10,3,18,2,10,2,8,2,9,1,4,2,19,6,4,3,19,17,4,5,18,2,10,57,8,2,10,70,8,40,10,14,8,4,10,7,8,6,10,15,8,2,10,2,8,6,10,2,8,2,10,60,8,1,10,54,4,3,19,9,4,639,},
{4,676,19,6,4,2,10,12,8,8,10,11,8,4,10,4,8,13,18,1,8,8,10,1,8,9,10,13,9,1,8,1,18,1,8,2,10,6,8,1,18,1,14,4,3,4,14,3,15,1,14,6,15,1,8,1,10,3,9,3,8,3,15,1,14,10,3,1,14,5,15,1,18,1,8,2,18,1,15,3,8,4,10,8,8,3,10,3,8,1,18,1,15,2,14,2,15,1,18,1,8,1,10,8,8,1,15,1,14,8,15,1,8,1,10,7,8,2,15,1,18,1,14,9,8,4,15,2,8,8,10,7,8,5,10,6,8,1,18,1,14,1,18,1,8,1,10,21,8,3,10,10,9,1,8,1,9,1,10,3,8,1,10,2,8,4,10,17,8,1,15,1,3,3,15,1,8,2,10,7,15,1,14,1,15,2,14,1,15,1,8,2,15,2,8,2,10,7,8,1,14,2,3,1,16,4,3,1,14,13,8,1,10,2,8,1,10,5,15,1,14,4,8,1,10,2,8,2,18,1,15,1,18,2,8,4,18,4,8,3,10,4,8,2,18,1,8,2,18,1,15,1,14,2,15,2,14,24,15,3,14,17,17,1,16,2,17,1,14,4,17,1,16,6,17,2,14,2,15,4,14,33,3,3,14,18,3,1,16,1,3,1,14,18,17,2,3,1,14,15,3,1,16,1,3,2,14,6,15,2,14,22,15,2,14,6,15,3,14,4,15,10,8,34,18,1,8,8,18,6,15,3,8,2,15,5,8,4,15,5,18,11,8,2,18,3,8,59,10,1,8,65,10,2,8,3,10,6,8,2,10,3,8,4,10,5,8,19,10,8,8,3,10,6,8,1,10,12,8,5,10,44,8,2,10,33,8,1,10,16,8,1,10,4,8,1,10,165,8,3,10,20,8,2,9,2,10,1,4,2,19,6,4,39,18,1,4,1,10,7,8,3,10,1,4,2,19,6,4,8,19,12,4,7,18,1,10,55,8,3,10,70,8,39,10,4,8,1,10,9,8,1,10,1,8,1,10,6,8,5,10,19,8,2,10,2,8,6,10,2,8,2,10,60,8,2,10,51,4,4,19,9,4,640,},
{4,676,19,5,4,3,10,11,8,8,10,20,8,13,18,1,8,18,10,11,9,2,8,2,18,1,8,2,9,2,10,4,8,2,15,1,14,3,3,4,14,10,15,1,8,1,10,1,9,1,8,1,9,5,8,2,15,1,14,9,3,2,14,4,15,1,8,12,10,14,8,2,18,3,8,3,10,7,8,1,18,1,14,7,3,1,14,2,15,1,8,1,10,1,8,6,15,3,14,8,15,1,8,1,10,2,8,1,14,2,18,1,8,7,10,7,8,3,18,1,8,1,10,6,8,1,18,1,14,2,8,1,10,11,8,2,10,9,8,1,9,1,10,10,9,1,8,1,10,4,8,1,10,4,8,1,10,18,8,1,14,1,3,3,14,1,8,1,10,8,18,1,14,1,15,2,14,1,18,1,10,2,15,1,14,1,15,1,8,2,10,1,8,5,15,1,14,1,3,2,16,2,3,1,14,6,16,3,17,1,14,5,15,1,8,1,10,6,8,1,14,1,3,1,14,2,15,1,8,1,10,3,8,2,18,1,8,10,10,8,8,10,15,1,14,3,15,3,14,3,15,4,18,1,14,3,15,4,14,2,15,4,14,15,17,4,14,6,17,3,14,8,15,1,14,4,17,3,14,28,3,3,14,18,3,4,14,17,17,3,14,7,3,1,14,3,3,2,14,4,3,2,14,6,15,2,14,16,15,1,14,4,15,4,14,5,15,3,14,2,15,10,18,2,8,33,18,3,8,6,18,6,15,3,8,3,15,5,8,4,15,3,14,1,15,1,18,10,8,4,18,1,8,126,10,2,8,3,10,11,8,5,10,4,8,13,10,15,8,1,10,6,8,3,10,10,8,6,10,44,8,1,10,27,8,4,10,214,8,4,9,1,4,3,19,4,4,21,19,3,4,15,18,2,9,1,10,1,18,2,10,4,8,1,18,3,4,3,19,5,4,9,19,10,4,9,10,55,8,3,10,71,8,32,10,3,8,2,10,4,8,2,10,17,8,5,10,20,8,1,10,3,8,2,10,2,8,2,10,2,8,2,10,60,8,2,10,4,8,1,10,44,9,1,4,3,19,11,4,640,},
{4,676,19,5,4,3,10,11,8,7,10,5,18,1,8,1,10,13,8,14,18,1,8,11,10,2,8,3,10,1,18,2,10,3,9,1,10,5,9,1,8,3,18,3,8,4,9,1,10,2,8,1,15,3,14,17,15,1,8,10,15,2,14,8,3,2,14,4,18,1,8,1,10,3,8,9,10,14,8,7,10,7,8,1,14,2,3,2,14,7,15,1,8,2,15,6,14,2,15,2,14,5,18,1,8,2,10,3,8,1,14,2,15,1,8,1,10,2,8,4,10,7,8,2,18,1,15,1,8,1,10,6,8,1,18,1,14,1,18,1,8,1,10,11,8,2,10,10,9,1,10,9,9,2,8,1,10,4,8,1,10,23,18,1,14,1,3,3,14,1,18,1,8,1,10,1,8,1,10,4,8,2,18,3,15,1,8,1,10,2,8,1,14,3,15,1,8,1,15,5,14,8,15,3,14,2,16,4,14,2,15,1,14,3,8,1,10,6,8,1,14,3,15,1,18,1,8,1,10,4,8,1,18,1,8,8,10,11,8,1,10,3,8,7,15,2,18,1,15,2,14,3,15,2,8,3,18,3,8,3,15,1,14,2,15,4,14,16,3,1,17,1,14,23,17,1,14,9,15,2,14,19,3,3,14,7,3,4,14,10,3,1,14,18,17,1,14,8,3,2,14,1,3,1,16,2,14,5,3,1,14,22,15,3,14,5,15,3,14,5,15,3,14,1,15,10,18,4,8,31,18,4,8,6,18,6,15,3,8,3,15,5,8,3,18,1,15,2,14,2,15,1,18,9,8,4,18,3,8,125,10,2,8,3,10,11,8,6,10,3,8,12,10,16,8,1,10,6,8,3,10,8,8,8,10,72,8,3,10,158,8,2,10,55,8,4,9,1,4,4,19,3,4,12,19,13,4,14,18,2,9,1,10,2,18,1,10,4,8,1,9,1,18,2,4,30,19,3,4,3,18,1,10,55,8,2,10,71,8,13,10,5,8,14,10,9,8,2,10,3,8,2,10,12,8,4,10,21,8,2,10,2,8,2,10,7,8,1,10,59,8,2,10,5,8,1,10,44,9,1,4,1,19,12,4,641,},
{4,677,19,3,4,3,10,12,8,6,10,5,8,3,10,2,8,1,10,10,8,19,10,3,8,2,10,8,18,2,10,3,9,1,10,6,8,1,18,5,8,4,9,1,10,2,8,1,18,1,15,3,14,6,3,1,16,5,14,5,15,5,8,4,15,3,14,8,3,1,14,4,15,1,18,1,8,1,10,1,9,1,8,1,10,9,8,4,10,24,18,1,14,2,3,2,14,7,15,1,8,1,15,1,14,8,15,3,14,3,15,1,8,2,10,3,8,1,15,1,14,2,8,1,10,4,8,5,10,3,8,3,18,1,15,2,8,1,10,6,8,1,18,3,8,1,10,11,8,1,10,11,9,1,8,2,10,6,8,3,10,4,8,2,10,22,8,1,14,2,3,3,14,2,8,1,10,1,8,2,10,4,8,5,10,3,8,1,14,11,3,2,14,2,15,1,8,4,15,1,14,1,16,4,17,1,14,1,15,2,14,3,15,1,8,1,10,5,8,1,14,2,15,1,18,2,8,1,10,4,8,4,10,4,8,1,10,15,8,4,10,4,8,5,15,1,14,2,15,1,8,2,10,3,8,5,15,1,14,3,15,3,14,4,15,2,14,4,3,2,14,4,3,1,14,55,3,3,14,6,3,4,14,19,3,1,14,5,3,2,14,15,3,1,16,2,14,5,3,1,14,21,15,4,14,5,15,3,14,5,15,14,18,2,15,1,18,1,8,29,18,1,8,1,18,4,8,6,18,7,15,2,8,3,15,5,8,3,18,1,15,2,14,3,15,1,18,7,8,5,18,3,8,126,10,1,8,3,10,11,8,21,10,8,8,3,10,5,8,1,10,7,8,1,10,89,8,3,10,157,8,3,10,56,8,3,10,1,4,18,19,14,4,13,18,1,9,2,8,1,10,5,18,1,10,2,9,1,18,2,4,30,19,4,4,2,18,2,10,54,8,2,10,72,8,8,10,10,8,14,10,12,8,2,10,13,8,3,10,22,8,2,10,2,8,2,10,7,8,1,10,10,8,1,10,3,8,1,10,39,8,2,10,2,8,2,10,51,18,1,4,1,19,10,4,643,},
{4,682,10,12,8,7,10,5,8,2,10,3,8,2,10,9,8,19,10,3,8,3,10,4,8,1,10,1,18,3,10,10,9,1,18,6,8,3,9,1,10,2,9,1,8,1,15,3,14,6,16,6,14,8,15,11,14,12,15,1,8,7,10,6,8,2,18,3,8,4,10,12,8,1,10,6,8,1,14,2,3,2,14,3,15,2,8,4,15,1,14,5,15,2,18,1,8,2,18,1,15,1,14,1,15,1,8,2,10,3,8,2,15,2,8,2,10,4,8,10,15,4,8,1,10,7,8,1,18,2,8,1,10,24,8,3,10,4,8,4,10,3,9,1,8,2,10,22,18,1,14,2,3,2,14,3,8,4,10,3,8,1,10,8,8,1,14,10,3,1,16,1,3,1,14,1,15,1,8,4,15,1,14,1,3,1,16,3,17,1,14,1,8,3,14,1,3,2,14,1,8,2,10,2,8,2,18,1,14,2,18,1,8,1,18,1,8,1,10,5,8,1,10,20,8,3,18,2,8,1,10,7,8,2,15,4,8,1,10,8,8,1,15,1,14,10,15,3,14,3,17,2,14,14,15,3,14,17,17,3,14,23,3,3,14,6,3,2,14,20,3,2,14,5,3,2,14,15,3,1,16,2,14,4,3,3,14,20,15,3,14,7,15,1,14,6,15,17,18,1,8,31,18,4,8,7,18,5,8,1,15,3,8,2,15,5,8,3,18,1,15,2,14,3,15,2,18,5,8,7,18,1,8,127,10,1,8,1,10,13,8,3,10,3,8,15,10,8,8,3,10,4,8,2,10,43,8,1,10,213,8,3,10,60,4,18,19,14,4,8,18,2,4,1,10,1,4,1,10,1,8,3,10,4,18,3,10,1,8,2,10,1,4,30,19,4,4,4,10,54,8,2,10,73,8,7,10,11,8,13,10,11,8,2,10,11,8,2,10,26,8,2,10,2,8,2,10,3,8,1,10,14,8,1,10,43,8,2,10,2,8,2,10,2,8,1,10,46,4,3,19,8,4,646,},
{4,682,10,11,8,8,10,5,8,1,10,3,8,3,10,9,8,19,10,4,8,1,10,7,18,3,10,10,9,1,18,2,15,2,18,2,8,1,18,1,8,1,9,1,10,2,9,1,8,3,15,2,14,1,15,2,14,3,16,5,14,17,15,3,14,11,15,1,18,2,15,2,18,1,8,3,10,5,8,2,15,1,14,4,18,1,8,1,10,12,8,1,10,6,8,1,18,1,14,6,15,1,8,4,15,2,14,4,15,1,8,6,15,3,8,2,10,1,8,2,15,1,14,1,15,1,8,1,10,6,8,1,15,9,14,3,15,1,8,1,10,7,8,1,18,2,8,1,10,4,8,2,10,4,8,2,10,11,9,1,8,3,10,4,8,3,10,3,8,2,18,1,8,1,10,9,9,1,8,1,10,6,8,1,10,3,8,1,14,8,8,4,10,3,8,1,10,7,8,1,15,1,14,8,3,2,16,2,3,1,14,1,15,1,8,2,15,1,14,2,17,1,16,3,14,1,15,1,8,1,10,2,8,1,14,1,3,2,14,1,15,1,8,4,18,1,15,1,14,2,18,3,8,1,10,26,8,1,18,1,15,1,14,1,15,1,18,1,8,1,10,7,8,2,18,1,15,2,8,1,10,8,8,1,15,1,14,11,15,2,14,3,3,2,14,13,15,4,14,17,17,1,16,3,14,3,17,1,16,2,14,16,3,2,14,29,3,2,14,5,3,2,14,16,16,1,3,1,14,4,3,1,16,1,3,1,14,38,15,2,8,1,15,13,18,1,8,11,18,2,8,18,18,3,8,8,18,3,8,3,15,10,8,2,18,2,15,2,14,3,15,2,18,1,15,1,18,3,8,135,10,21,8,5,10,2,8,8,10,8,8,3,10,4,8,1,10,4,8,2,10,38,8,1,10,214,8,1,10,61,4,18,19,6,4,3,19,3,4,6,10,12,8,3,10,3,18,1,10,3,8,2,4,30,19,4,4,5,10,133,8,2,10,10,8,15,10,9,8,2,10,11,8,3,10,26,8,3,10,1,9,1,18,1,9,1,8,4,10,13,8,1,10,43,8,2,10,2,8,2,10,2,8,1,10,45,4,5,19,6,4,647,},
{4,672,19,3,4,7,10,10,8,10,10,8,8,3,10,10,8,15,10,6,8,1,10,20,9,1,8,1,18,2,15,1,18,2,8,4,10,4,8,4,15,5,14,2,3,1,16,4,3,1,14,17,15,1,14,13,15,2,14,2,18,3,8,2,10,5,8,1,15,1,14,2,3,1,14,1,18,1,8,2,10,18,8,2,15,2,14,4,15,1,8,3,15,2,14,4,15,1,8,5,18,2,15,4,8,3,14,3,15,1,8,1,10,5,8,2,15,1,14,1,15,3,14,7,15,1,8,1,10,6,8,2,18,1,8,2,10,4,8,3,10,2,8,1,18,1,8,1,10,11,8,4,10,4,8,3,10,3,8,1,18,2,8,2,10,8,8,3,10,5,8,4,15,1,14,2,15,4,14,2,15,1,8,3,10,3,8,1,10,6,8,2,15,1,14,9,3,1,16,2,3,1,14,2,15,1,14,3,16,5,14,1,8,1,10,3,8,1,14,1,3,2,14,2,15,1,18,2,15,1,14,5,15,1,18,1,8,1,10,25,8,1,18,1,14,3,15,1,18,1,8,1,10,7,8,6,10,7,8,2,14,32,15,3,14,17,17,1,14,1,16,3,17,1,14,1,16,4,14,54,3,1,14,22,3,1,16,3,3,1,14,37,15,2,8,2,15,12,18,1,8,10,18,5,8,16,18,1,8,9,18,4,8,3,15,7,8,3,15,2,18,1,15,3,14,2,15,2,18,2,15,2,18,1,8,136,10,22,8,4,10,2,8,10,10,6,8,3,10,8,8,4,10,314,4,33,10,8,8,3,10,4,8,4,10,5,8,2,9,1,4,31,19,4,4,5,10,132,8,2,10,10,8,14,10,9,8,2,10,12,8,3,10,26,8,3,10,1,9,1,18,2,9,1,18,2,9,1,10,13,8,1,10,43,8,6,10,48,4,658,},
{4,671,19,5,4,5,10,10,8,4,10,2,8,8,10,5,8,1,10,4,8,3,10,5,8,14,10,8,18,1,10,18,8,1,18,7,8,4,10,4,8,1,15,1,8,2,15,5,14,3,3,1,16,5,17,1,3,2,14,27,15,2,14,4,15,1,18,1,8,2,10,4,8,1,18,1,14,4,18,1,8,2,10,9,8,1,10,9,8,3,18,1,15,1,14,3,15,3,14,6,15,1,8,4,15,6,14,1,15,1,8,1,15,1,14,3,15,1,10,6,8,1,15,1,14,2,15,2,14,8,15,1,8,2,10,6,8,4,10,4,8,3,10,2,8,1,18,2,10,4,8,1,10,5,8,5,10,10,8,1,18,1,8,2,10,8,8,3,10,8,8,2,15,1,14,1,15,1,8,3,15,1,14,3,15,1,8,2,10,3,8,1,10,5,8,2,14,19,16,6,14,1,8,1,10,4,18,1,14,1,3,3,14,1,15,2,14,9,8,1,10,4,8,1,10,20,18,1,14,3,18,1,8,3,10,11,8,1,10,8,8,1,15,1,14,6,3,1,14,25,15,1,14,21,16,3,17,2,16,4,14,4,16,2,14,15,15,2,14,15,3,1,14,36,3,1,14,3,3,3,14,38,15,1,8,1,15,13,18,1,8,9,18,10,8,20,18,6,8,5,15,4,8,4,15,7,14,1,15,1,18,3,15,2,18,1,8,136,10,1,8,1,10,20,8,18,10,4,8,3,10,8,8,4,10,260,4,8,10,22,4,2,10,11,4,2,10,2,4,34,10,14,8,4,10,3,8,8,10,2,8,1,10,1,4,32,19,5,4,3,10,132,8,2,10,9,8,5,10,2,8,9,10,51,8,1,18,1,8,1,10,1,9,1,18,5,9,1,10,2,8,1,10,17,8,1,10,34,8,1,10,2,8,3,10,50,4,658,},
{4,671,19,5,4,3,18,1,10,11,8,4,10,2,8,8,10,10,8,3,10,5,8,13,10,8,8,1,18,2,10,16,9,1,18,7,8,5,10,3,9,1,8,1,15,7,14,4,3,1,16,6,3,5,14,12,3,1,14,10,15,1,18,2,15,2,18,1,15,1,14,1,15,1,18,1,8,1,10,4,8,2,18,4,8,7,10,3,8,4,10,9,8,3,15,1,14,7,3,1,14,5,15,1,8,2,15,1,14,3,15,2,14,3,8,2,14,3,15,1,8,1,10,1,8,2,10,2,8,1,15,1,14,2,15,7,14,4,8,1,10,7,8,7,10,1,8,2,10,3,8,1,18,1,8,1,10,4,8,1,10,4,8,5,10,11,8,3,10,9,8,1,18,1,8,1,10,9,8,7,14,4,15,1,8,1,10,9,8,1,15,1,14,19,16,5,17,1,14,2,8,1,10,3,8,1,15,1,14,1,3,2,14,2,15,2,14,6,3,2,14,1,8,1,10,2,8,4,10,18,8,1,14,3,18,1,8,1,10,2,8,2,10,18,8,2,15,1,14,12,15,3,14,10,15,8,14,2,16,1,17,1,14,17,17,1,16,2,14,1,17,1,16,4,14,3,16,3,14,14,15,4,14,39,17,1,14,6,3,2,14,2,3,2,14,44,15,15,18,1,8,9,18,3,15,2,18,7,8,8,18,6,8,3,18,4,15,1,18,2,8,5,15,4,8,4,15,9,18,3,15,2,18,1,8,6,18,1,8,128,10,2,8,2,10,19,8,18,10,4,8,3,10,2,8,1,10,7,8,1,10,18,8,3,10,177,8,1,10,60,4,15,10,13,18,2,4,12,18,2,4,39,10,14,8,5,10,3,8,7,10,3,4,33,19,6,4,2,10,103,8,1,10,19,8,3,10,17,8,5,10,2,8,8,10,52,8,3,10,1,9,1,18,5,10,2,18,2,10,16,8,3,10,32,8,2,10,3,8,2,10,45,8,1,10,3,4,659,},
{4,671,19,5,4,2,18,1,8,1,10,11,8,4,10,2,8,8,10,9,8,3,10,5,8,14,10,9,18,1,10,17,8,1,18,7,8,5,9,1,10,2,9,1,8,1,15,3,8,2,15,2,14,3,3,2,16,7,3,5,14,9,3,3,14,7,15,4,8,3,18,2,14,3,18,1,8,2,10,4,8,8,10,2,8,9,10,7,8,3,10,1,8,1,15,1,14,2,3,1,14,3,3,3,14,16,15,1,8,1,15,1,14,2,15,1,8,2,15,2,8,3,15,1,14,2,15,7,14,4,8,2,10,6,8,4,10,1,8,2,10,6,8,1,18,1,8,1,10,3,8,2,10,4,8,4,10,12,8,4,10,9,8,3,10,9,8,3,10,2,8,1,15,1,14,4,18,1,10,7,8,2,15,1,14,15,15,2,14,2,16,5,14,3,15,1,8,1,10,2,8,1,15,1,14,5,15,1,8,1,18,1,15,1,14,5,3,1,14,1,15,1,8,1,10,2,8,4,10,18,18,1,14,1,3,1,14,1,18,1,8,1,10,21,8,3,15,1,14,12,15,3,14,4,15,1,14,14,17,1,16,1,17,1,14,16,17,4,14,1,17,1,16,3,17,1,14,3,16,3,14,14,15,4,14,46,3,2,14,2,3,2,14,44,15,12,18,4,8,9,18,6,15,1,18,7,8,6,18,1,8,2,18,8,15,3,18,5,8,2,15,4,8,4,15,5,18,1,15,3,18,2,15,2,18,2,8,135,10,2,8,2,10,5,8,2,10,10,8,1,10,1,8,19,10,4,8,2,10,2,8,1,10,267,4,19,10,8,9,1,4,4,19,1,4,58,10,8,8,2,10,6,8,5,10,4,4,32,19,7,4,1,10,103,8,1,10,19,8,3,10,11,8,3,10,1,8,6,10,3,8,8,10,53,8,2,10,2,9,2,18,3,9,1,10,1,18,2,8,1,10,15,8,3,10,32,8,3,10,2,8,2,10,48,4,660,},
{4,671,19,4,4,3,10,5,8,1,10,7,8,12,10,7,8,6,10,4,8,16,10,19,9,2,10,5,9,1,18,2,15,1,18,2,15,1,18,2,8,15,15,2,14,2,3,4,14,3,16,4,3,4,14,18,15,2,8,4,9,1,8,2,18,1,14,3,18,1,8,2,10,5,8,3,18,2,8,2,10,4,8,2,18,2,8,2,10,7,8,7,14,25,15,1,8,1,15,1,14,2,15,1,8,2,15,8,14,11,8,2,10,6,8,3,10,3,8,1,10,6,8,2,10,3,8,2,10,9,8,1,10,11,18,2,8,3,10,9,18,2,8,1,10,7,8,4,10,2,8,2,15,1,14,3,15,1,8,1,10,4,8,3,15,1,14,16,15,1,14,2,16,4,17,1,14,4,15,1,8,4,14,3,18,1,8,1,18,2,8,2,18,1,14,2,3,3,14,1,15,1,8,1,10,4,8,1,10,20,18,1,14,1,3,1,14,1,15,1,8,2,10,4,8,1,18,1,8,1,10,12,8,4,15,1,14,14,15,1,14,2,15,4,14,10,3,2,16,1,3,1,14,14,3,1,16,4,3,1,17,3,16,3,17,1,14,4,16,3,17,1,14,15,15,2,14,13,3,2,14,13,3,2,14,16,3,1,14,10,3,2,14,21,15,2,14,15,15,11,18,28,8,8,18,13,15,6,14,2,15,2,8,3,15,4,18,2,15,7,18,2,8,141,10,4,8,1,10,8,8,27,10,4,8,1,10,9,8,1,10,3,8,1,10,10,8,3,10,240,4,13,19,4,4,3,10,8,4,1,19,7,4,43,19,2,4,11,10,18,8,2,10,4,4,32,19,7,4,1,10,123,8,17,10,1,8,7,10,2,8,3,10,5,8,2,10,43,8,1,10,8,18,2,10,2,9,1,18,3,9,1,10,2,18,3,10,47,8,5,10,52,4,660,},
{4,672,19,2,4,4,10,4,8,2,10,9,8,5,10,12,8,4,10,5,8,17,10,4,18,1,10,13,9,1,8,2,9,1,8,4,18,2,15,1,14,1,18,5,8,4,18,1,15,1,18,1,8,3,9,2,8,4,15,1,14,3,3,3,14,3,16,4,3,3,14,18,15,1,8,5,10,4,8,1,18,1,14,2,18,1,8,2,10,5,8,2,18,3,8,1,10,5,8,2,18,1,8,3,10,3,8,5,15,3,8,2,15,1,14,22,15,1,14,1,15,7,8,2,15,1,14,1,15,6,14,11,8,2,10,6,8,3,10,10,8,2,10,2,8,3,10,11,8,2,10,7,8,1,18,2,8,3,10,9,8,1,18,1,8,1,10,4,8,6,10,3,8,2,15,2,14,3,8,2,10,2,8,3,15,1,14,20,16,2,17,1,14,7,15,3,14,2,3,1,14,1,8,1,10,1,8,2,10,1,8,2,15,1,14,1,3,3,14,1,18,1,10,23,8,1,10,1,8,1,14,3,15,1,18,1,8,2,10,4,8,1,14,1,18,1,10,7,8,1,10,3,8,2,15,5,14,17,15,2,14,6,3,1,14,2,3,1,16,4,14,14,3,1,16,5,3,1,17,2,16,3,17,1,14,7,17,2,14,15,15,2,14,12,3,1,14,15,3,2,14,15,3,2,14,10,3,2,14,21,15,2,14,19,15,7,18,14,8,2,18,17,8,3,18,3,15,3,18,7,15,4,14,5,15,2,8,2,15,13,18,2,8,68,10,2,8,72,10,12,8,5,10,2,8,20,10,3,8,1,10,8,8,4,10,2,8,1,10,9,9,1,18,4,9,1,10,1,8,1,10,124,8,2,10,106,4,2,10,1,4,13,19,6,4,2,10,7,4,1,19,8,4,42,19,12,4,7,18,3,10,12,8,2,10,1,4,34,19,7,4,1,10,123,8,18,10,5,8,5,10,6,8,5,10,14,8,1,10,24,8,2,10,8,8,1,18,2,10,1,8,1,18,4,8,1,10,1,18,3,10,46,8,6,10,46,4,4,10,1,4,661,},
{4,677,10,5,8,2,10,26,8,2,10,7,8,18,10,3,18,1,10,13,8,2,10,1,9,1,8,2,18,3,15,1,14,2,15,1,18,4,8,4,18,1,8,3,9,4,8,2,15,1,8,1,15,2,14,2,3,6,16,4,3,3,14,9,3,2,14,7,15,1,8,1,9,2,8,1,9,1,10,4,8,1,18,1,14,1,18,2,8,2,10,4,8,2,18,1,15,1,18,1,8,1,10,7,8,4,10,4,8,4,15,2,14,1,15,1,8,2,15,1,14,25,15,3,14,1,15,2,8,2,15,7,14,12,8,1,10,8,8,2,10,10,8,3,10,1,8,3,10,11,8,4,10,4,8,2,18,1,8,3,10,10,8,2,10,4,8,1,18,2,8,2,10,5,8,1,15,2,14,3,15,1,8,6,15,1,14,3,3,1,14,17,17,1,14,3,15,3,14,9,15,1,10,3,8,1,10,1,8,2,14,2,3,3,14,1,18,1,8,1,10,3,8,2,10,16,8,1,18,2,14,3,15,1,8,1,10,2,8,5,18,1,14,1,8,1,10,11,8,1,15,1,14,2,15,6,14,6,3,3,14,16,3,1,16,3,3,1,14,14,3,2,16,3,3,2,17,2,16,3,17,1,14,7,17,2,14,14,15,3,14,45,3,1,14,35,15,1,14,17,15,1,14,1,15,7,18,10,8,1,18,2,8,2,18,19,8,1,18,2,15,5,18,1,15,1,18,5,15,4,14,6,15,4,14,3,15,9,18,2,8,142,10,12,8,4,10,3,8,19,10,4,8,2,10,8,8,2,10,11,8,1,9,1,18,6,10,222,4,28,19,6,4,6,10,2,4,2,19,8,4,42,19,12,4,12,10,9,8,3,4,3,19,6,4,27,19,6,4,5,10,119,8,15,10,10,8,1,10,9,8,3,10,52,18,1,10,1,8,1,18,4,9,1,10,1,18,3,10,45,8,7,10,43,4,669,},
{4,676,10,5,8,3,10,33,8,20,10,17,9,2,10,1,9,1,8,1,18,4,15,1,14,3,18,5,8,6,9,2,8,5,15,1,8,1,15,3,14,2,3,4,16,5,3,3,14,8,3,3,14,4,15,3,8,1,9,1,10,2,8,1,9,1,10,4,8,1,18,2,8,4,10,4,8,1,18,1,14,2,18,1,10,9,8,2,10,4,8,2,18,3,15,1,14,3,15,4,14,25,15,1,14,2,15,2,8,2,15,6,14,13,8,1,10,8,8,2,10,10,8,3,10,3,8,2,10,10,8,1,18,2,8,1,10,4,8,2,18,1,8,2,10,11,8,2,10,4,8,1,15,1,14,1,15,1,8,1,10,4,8,2,15,1,14,3,15,2,8,5,15,1,14,25,15,2,8,1,15,1,14,6,17,1,14,2,8,1,10,5,8,2,14,2,3,3,14,1,18,1,8,1,10,3,8,2,10,16,18,1,3,1,14,3,18,1,8,1,10,5,8,5,10,4,8,1,10,7,8,1,18,1,15,2,18,3,15,4,14,4,3,4,14,16,3,1,16,1,3,1,14,16,3,7,17,6,14,7,17,2,14,13,15,4,14,64,15,2,14,16,15,4,14,11,15,11,18,36,15,8,18,4,15,4,14,7,15,3,14,4,15,9,18,2,8,6,18,1,8,135,10,13,8,3,10,4,8,18,10,15,8,1,10,10,8,1,9,1,18,7,10,220,4,30,19,6,4,6,10,2,4,3,19,7,4,42,19,12,4,12,10,9,8,2,10,1,4,1,19,9,4,26,19,8,4,4,10,118,8,9,10,1,8,5,10,20,8,2,10,55,8,1,18,4,9,1,10,1,8,1,18,2,10,45,8,7,10,42,18,1,4,3,19,4,4,662,},
{4,676,10,2,8,6,10,10,8,2,10,19,8,22,10,17,9,3,8,1,18,1,15,2,18,4,14,3,15,1,18,3,8,3,9,4,8,2,15,4,8,2,15,3,14,3,3,5,16,2,3,3,14,3,15,2,14,11,15,2,8,1,9,1,10,3,9,2,10,4,8,5,10,1,8,1,10,4,8,1,15,1,14,2,18,1,9,1,10,5,9,5,10,4,8,2,15,4,14,3,15,5,14,24,15,1,14,2,15,5,14,17,15,1,8,1,10,2,8,1,10,4,8,1,18,2,8,1,10,10,8,2,10,3,8,2,10,9,8,1,18,3,8,2,10,4,8,1,18,2,8,1,10,17,8,1,15,1,14,1,15,1,8,1,10,3,8,3,15,1,14,3,15,1,8,6,15,1,14,7,3,2,14,2,15,1,14,6,15,2,14,5,15,4,14,6,16,1,17,1,14,1,8,1,10,5,8,2,15,1,14,1,3,3,14,1,18,1,8,1,10,2,8,4,10,14,8,1,14,1,3,2,14,2,8,1,10,7,8,1,10,16,8,5,18,2,15,1,18,4,14,3,3,3,14,16,3,2,14,16,3,8,16,1,17,3,14,10,17,1,14,7,3,1,14,5,15,4,14,14,15,1,14,49,15,4,14,2,15,2,14,10,15,2,8,1,15,1,14,11,15,14,18,25,15,6,18,2,15,10,18,4,15,2,14,7,15,3,14,4,15,5,18,2,15,3,18,1,8,5,18,2,8,122,10,2,8,11,10,14,8,2,10,3,8,19,10,15,8,2,10,9,8,1,9,1,18,7,10,216,8,1,10,3,4,4,19,12,4,16,19,4,4,6,10,2,4,4,19,6,4,43,19,11,4,12,8,1,10,8,8,2,9,1,4,1,19,9,4,26,19,9,4,3,10,48,8,2,10,69,8,6,10,3,8,7,10,3,8,6,10,11,8,1,10,55,9,1,18,3,9,1,10,2,18,1,8,1,10,45,8,7,10,26,8,3,10,12,8,1,4,2,19,8,4,660,},
{4,676,10,1,8,7,10,9,8,12,10,9,8,23,10,18,8,2,18,1,15,3,18,1,8,2,18,1,15,1,14,2,15,5,8,2,9,1,10,1,9,1,8,2,15,1,14,3,15,1,8,2,15,3,14,10,3,3,14,15,15,2,8,2,9,1,10,2,9,1,8,2,9,3,8,3,10,9,8,1,15,1,14,2,18,1,9,1,10,2,8,8,9,3,10,1,8,1,18,1,15,5,14,3,15,4,14,4,15,1,14,19,15,1,14,4,15,2,14,18,15,1,8,1,10,2,8,2,10,3,8,1,18,2,8,2,10,14,8,2,10,7,8,2,18,4,8,3,10,4,8,1,18,1,8,1,10,9,8,2,10,2,9,1,8,4,15,4,8,1,10,2,8,1,15,1,8,1,15,1,14,2,15,1,8,3,10,2,8,2,15,1,14,7,3,1,16,1,14,2,15,2,14,4,15,2,8,1,15,1,14,14,16,1,17,1,14,1,8,1,10,5,8,2,18,1,14,1,3,3,14,1,18,1,8,1,10,3,8,2,10,14,8,1,18,1,3,2,14,1,18,2,8,1,10,7,8,1,10,6,8,1,18,1,10,8,8,6,18,1,14,1,18,2,8,1,18,1,14,4,3,1,14,16,3,1,16,1,3,1,14,15,3,2,16,1,3,6,16,1,17,2,14,19,3,1,14,5,15,2,14,16,15,1,14,9,15,2,14,37,15,7,8,3,15,2,14,7,15,4,14,6,15,2,14,1,15,19,18,20,15,3,14,5,15,19,14,6,15,3,14,4,15,4,18,4,15,2,8,6,15,2,8,17,18,1,8,104,10,2,8,5,10,1,8,4,10,5,8,2,10,8,8,24,10,15,8,3,10,5,8,1,10,2,8,1,9,1,18,7,9,1,10,2,8,1,10,212,9,2,4,3,19,15,4,25,18,1,10,2,4,5,19,5,4,67,10,2,4,7,10,1,4,2,19,9,4,27,19,9,4,3,10,47,8,2,10,69,8,5,10,4,8,16,10,8,8,2,10,57,8,1,9,1,18,2,9,1,10,2,18,2,8,1,10,18,8,1,10,27,8,5,10,25,8,5,10,10,8,1,10,1,4,2,19,8,4,660,},
{4,675,10,1,8,8,10,8,8,13,10,9,8,23,10,18,8,2,18,1,15,2,18,2,8,2,18,2,15,1,14,1,15,5,8,2,9,2,8,2,15,1,14,4,15,1,8,1,15,3,14,11,3,3,14,14,15,2,8,3,9,3,8,3,9,1,10,1,8,4,10,4,8,1,10,4,8,1,15,1,14,2,18,1,9,1,10,1,8,2,18,1,15,1,18,3,8,4,9,2,8,1,15,1,14,1,15,11,14,4,15,5,14,15,15,1,14,23,15,1,8,2,10,2,8,2,10,2,8,1,18,1,14,1,18,1,8,2,10,23,8,1,18,4,8,4,10,4,8,1,18,1,8,1,10,9,8,9,18,1,15,1,14,1,15,1,8,1,10,2,8,1,15,3,14,2,15,1,8,2,10,4,8,1,15,1,14,4,15,1,14,2,3,1,16,1,3,1,14,1,15,2,14,4,15,1,8,3,15,1,14,13,16,1,17,1,14,1,15,1,8,1,10,5,8,2,14,1,3,3,14,1,18,1,10,20,18,1,14,1,3,1,14,1,18,1,10,10,8,1,10,6,18,1,14,1,18,3,8,1,10,4,8,2,10,3,8,1,18,1,14,1,18,4,14,21,3,1,16,1,3,1,14,15,3,1,16,3,3,5,16,1,17,1,14,5,17,2,14,47,15,3,14,36,15,1,14,2,15,3,8,5,15,2,14,7,15,3,14,7,15,19,14,5,18,17,15,2,14,7,15,18,14,6,15,4,14,2,15,4,18,1,8,3,18,3,8,3,10,1,8,2,15,1,14,1,18,1,8,121,10,1,8,5,10,3,8,2,10,5,8,4,10,7,8,23,10,16,8,4,10,3,8,2,10,3,8,1,10,1,18,6,9,1,10,3,8,1,10,209,4,6,19,16,4,26,8,2,4,13,19,3,4,73,19,9,4,28,19,8,4,5,10,1,8,3,10,30,8,2,10,8,8,1,10,71,8,4,10,5,8,16,10,6,8,6,10,56,8,1,9,1,18,1,9,1,10,2,18,2,8,1,10,48,8,3,10,25,8,5,10,9,4,1,18,1,4,3,19,8,4,660,},
{4,674,9,1,8,13,10,3,8,13,10,11,8,22,10,17,9,1,8,2,18,5,8,2,18,4,15,1,18,1,15,4,18,1,8,2,15,2,14,5,15,3,14,15,3,3,14,11,15,1,8,2,9,1,8,3,15,3,8,2,9,1,10,1,8,5,10,1,8,4,10,3,8,1,15,1,14,2,18,1,9,1,10,1,8,1,18,1,15,1,14,2,15,2,18,1,8,6,15,1,14,1,15,1,18,1,8,3,15,2,14,2,15,2,14,4,15,6,14,38,15,1,8,1,10,3,8,2,10,2,8,1,18,3,8,1,10,12,8,1,10,11,8,9,10,4,8,3,10,9,8,1,18,2,8,2,15,1,14,2,15,3,14,2,15,1,8,1,10,1,8,1,15,2,14,4,15,1,8,2,10,3,8,1,15,1,14,3,15,1,8,2,14,1,3,1,16,1,3,1,14,1,15,2,14,4,15,1,8,4,15,1,14,12,17,1,14,2,15,1,8,4,10,3,8,1,15,1,3,3,14,1,18,1,10,19,8,1,18,2,14,1,18,1,10,17,8,1,14,1,3,1,14,1,18,2,8,1,10,3,8,3,10,4,8,1,18,2,14,11,15,2,14,2,3,1,17,1,14,3,15,1,14,2,3,1,16,2,3,1,14,4,3,2,14,9,3,1,16,3,3,5,17,2,14,5,17,3,14,28,15,3,14,14,15,4,14,36,15,1,14,2,15,2,8,6,15,1,14,18,15,19,14,6,18,16,15,2,14,6,15,12,18,2,15,6,14,5,15,4,14,2,15,2,18,2,8,5,18,2,8,3,10,1,8,2,15,1,14,1,18,1,8,29,10,1,8,97,10,3,8,1,10,8,8,1,10,8,8,23,10,16,8,4,10,4,8,1,10,4,8,1,9,1,18,5,9,1,10,213,4,3,19,19,4,26,8,2,4,12,19,5,4,63,19,18,4,28,19,8,4,6,9,1,8,2,10,30,8,1,10,8,8,2,10,72,8,3,10,5,8,15,10,6,8,7,10,2,8,2,10,54,8,2,10,2,8,1,18,1,8,1,10,19,8,1,10,20,8,2,10,6,8,3,10,25,8,5,10,8,4,6,19,8,4,660,},
{4,674,9,1,8,14,10,1,8,6,10,2,8,5,10,14,8,19,10,17,9,2,8,1,9,1,8,2,18,1,15,5,18,1,8,3,18,2,15,5,14,7,15,4,14,15,3,5,14,9,15,1,8,1,9,2,8,1,15,1,14,4,15,1,8,1,9,1,10,1,9,1,8,1,18,2,8,4,18,2,8,1,10,1,9,1,8,1,14,3,8,1,10,2,8,1,15,2,14,3,15,3,18,1,8,4,15,3,18,1,8,3,15,1,14,12,15,3,14,8,3,4,14,25,15,1,8,2,10,7,8,1,18,3,10,12,8,4,10,12,8,4,10,6,8,2,10,5,8,1,10,4,18,1,14,1,15,1,18,1,8,1,15,1,14,3,15,2,14,2,15,1,10,2,8,1,15,1,14,5,15,2,8,1,10,3,8,1,14,4,8,3,15,1,3,2,14,2,15,2,14,4,15,1,8,5,15,1,14,3,3,1,14,7,17,1,14,2,8,6,10,3,18,1,3,3,14,1,18,1,10,18,8,1,18,4,10,19,18,1,14,1,18,2,8,1,10,2,8,1,18,1,14,2,18,1,8,1,10,3,8,1,18,2,14,1,3,2,14,8,15,2,14,2,16,2,17,1,14,5,16,3,3,1,14,3,3,1,16,1,3,1,14,9,3,1,16,2,3,6,14,6,17,1,16,2,17,1,14,26,15,5,14,14,15,1,8,2,15,1,14,36,15,1,14,2,15,2,8,6,15,1,14,18,15,16,18,2,15,1,14,2,18,14,15,8,14,5,15,17,14,2,15,2,14,6,15,2,14,3,15,3,18,1,8,5,18,2,8,6,15,1,14,1,18,1,8,29,10,1,8,85,10,3,8,10,10,1,8,2,10,18,8,22,10,16,8,4,10,9,8,1,18,7,8,1,10,118,8,2,10,92,4,3,19,19,4,25,18,1,8,2,18,1,4,11,19,6,4,62,19,18,4,30,19,6,4,6,8,3,10,39,8,2,10,72,8,2,10,6,8,15,10,6,8,7,10,2,8,2,10,54,8,2,10,2,8,3,10,40,8,2,10,7,8,2,10,26,8,3,10,9,4,6,19,4,4,664,},
{4,674,9,1,8,21,10,6,8,1,10,14,8,5,18,1,8,13,10,17,9,1,8,2,9,3,8,1,18,1,15,2,14,2,18,1,8,1,9,2,8,2,15,2,14,9,15,3,14,18,3,6,14,7,15,1,9,2,8,1,15,1,14,5,15,1,8,1,9,1,10,1,8,2,15,2,18,4,14,1,15,1,18,1,8,2,18,1,14,2,15,1,8,1,10,2,8,1,15,2,14,5,15,4,8,2,15,3,18,1,8,2,15,2,14,13,15,2,14,8,3,4,14,24,15,2,8,2,10,7,8,4,10,5,8,2,10,4,8,3,18,2,10,13,8,2,10,6,8,1,10,6,8,2,10,4,18,1,14,2,18,1,8,1,15,1,3,2,14,1,15,3,14,1,15,1,10,2,8,1,15,2,14,6,8,1,10,3,8,1,15,1,14,3,8,1,10,2,8,1,14,1,3,1,14,2,15,2,14,4,15,1,8,1,15,2,8,3,15,1,14,10,17,1,14,1,8,7,10,3,18,1,14,1,3,2,14,1,8,1,10,17,9,1,8,5,10,19,18,3,8,1,10,2,8,1,15,1,14,2,3,1,14,1,8,1,10,4,8,1,18,1,14,1,3,2,14,7,15,2,14,3,16,2,17,1,14,4,3,1,16,3,14,4,3,1,16,1,3,1,14,9,3,9,14,6,17,1,16,2,17,1,14,26,15,2,8,3,15,1,14,12,15,2,8,3,15,1,14,34,15,5,8,7,14,5,15,2,14,12,15,7,18,2,15,7,18,2,15,3,18,14,15,14,18,3,15,13,14,2,15,3,14,3,15,10,18,1,8,5,18,3,8,5,18,1,15,1,18,1,8,1,18,3,8,25,10,1,8,85,10,3,8,14,10,16,8,23,10,16,8,5,10,9,9,1,18,5,9,1,8,1,10,117,8,3,10,87,8,3,10,2,4,3,19,6,4,10,19,2,4,26,10,1,8,2,10,1,4,12,19,5,4,62,19,17,4,33,19,3,4,8,9,2,10,39,8,2,10,72,8,2,10,6,8,15,10,6,8,4,10,62,8,1,10,2,8,2,10,41,8,2,10,7,8,2,10,26,8,2,10,10,4,6,19,3,4,665,},
{4,674,9,1,8,21,10,2,8,1,10,3,8,1,10,14,8,2,18,1,8,2,18,1,8,13,18,1,10,16,9,1,8,2,9,3,8,1,18,1,15,2,14,2,18,1,8,1,9,2,8,2,15,2,14,5,3,1,14,3,15,2,14,3,15,2,14,14,3,6,14,7,15,1,8,3,15,1,14,5,15,1,8,2,9,1,8,1,18,1,15,1,14,1,15,4,14,2,15,1,18,1,8,1,18,1,14,2,15,1,8,1,9,1,10,1,8,1,15,2,14,5,15,4,8,1,15,2,14,1,15,2,18,1,15,2,14,14,15,2,14,13,3,1,14,22,15,2,8,2,10,7,8,3,10,7,8,1,10,4,8,3,18,2,10,3,8,4,10,13,8,2,10,5,8,3,10,3,8,1,18,1,14,2,15,2,14,1,3,2,14,1,15,1,8,1,15,1,14,1,15,1,10,3,8,2,15,1,14,5,15,1,8,1,10,2,8,1,15,1,14,2,15,1,8,1,10,2,8,1,14,1,3,1,14,2,15,2,14,4,15,2,14,1,15,1,8,3,15,2,14,11,8,1,10,1,8,5,10,3,8,1,14,1,3,1,14,1,15,1,8,3,10,15,9,4,8,2,10,14,8,1,10,4,18,3,8,1,10,2,8,1,15,1,14,3,18,1,8,1,10,4,8,1,18,1,14,2,3,1,14,6,15,3,14,2,17,1,16,2,14,4,3,1,16,3,3,1,14,5,3,1,14,10,3,2,16,1,3,6,14,6,17,1,16,2,17,1,14,26,15,2,8,3,15,1,14,13,15,1,8,3,15,1,14,34,15,5,8,6,15,1,14,4,15,4,14,6,15,2,14,3,15,2,8,1,15,4,18,3,15,5,18,20,15,3,18,2,15,8,18,7,15,10,14,2,15,16,18,2,8,4,18,3,8,6,18,6,8,25,10,1,8,102,10,7,8,1,10,7,8,24,10,11,8,10,10,9,8,1,9,1,18,3,9,2,10,207,8,4,10,2,4,3,19,5,4,39,10,7,4,1,10,4,9,2,4,2,19,5,4,62,19,10,4,54,10,9,8,5,10,24,8,1,10,73,8,1,10,7,8,15,10,7,8,2,10,43,8,5,10,12,8,1,10,2,8,1,10,3,8,1,10,41,8,2,10,7,8,2,10,38,4,2,19,4,4,668,},
{4,674,9,1,8,21,10,2,8,5,10,13,8,2,18,3,8,15,18,1,10,16,9,1,8,1,18,1,8,6,18,2,15,1,18,1,8,1,9,3,8,1,18,1,15,1,14,4,3,2,14,3,15,1,14,4,15,3,14,14,3,3,14,9,15,1,8,2,15,2,14,2,15,4,8,4,18,1,15,1,14,2,15,2,14,4,15,1,18,2,15,2,18,1,8,1,9,2,8,1,15,1,14,7,15,6,14,1,15,3,14,17,15,1,14,13,3,1,14,21,15,3,8,2,10,6,8,4,10,13,8,2,18,2,10,2,8,7,10,8,8,4,10,4,8,5,10,3,8,1,18,1,15,1,14,7,15,1,8,2,15,2,10,3,8,3,15,1,14,2,3,1,14,2,8,4,15,1,14,2,8,1,10,3,8,1,14,3,15,1,8,1,15,1,14,5,15,1,14,2,15,2,8,2,15,1,14,10,8,1,10,2,8,5,10,3,8,1,14,3,18,1,8,1,18,2,8,1,10,18,8,1,18,1,8,1,10,12,8,3,10,2,8,1,18,3,8,1,10,2,18,1,14,2,15,1,18,1,8,1,10,5,8,2,18,5,14,3,15,4,14,2,17,1,16,1,17,1,14,4,3,1,16,2,3,1,14,2,15,2,14,4,15,1,14,7,3,4,16,1,3,4,14,8,17,2,14,27,15,2,8,3,15,1,14,13,15,1,8,3,15,1,14,34,15,2,8,2,15,3,8,3,15,1,14,5,15,1,8,1,15,2,14,5,15,3,14,3,15,7,18,4,15,4,18,3,15,1,18,16,15,2,18,6,15,3,18,6,15,13,14,2,15,13,18,2,15,3,8,4,18,3,8,8,18,4,8,129,10,4,8,6,10,3,8,25,10,5,8,1,10,3,8,13,10,10,8,3,10,209,8,4,10,2,4,2,19,5,4,39,10,11,8,1,10,4,4,1,19,5,4,62,19,10,4,54,10,2,8,1,10,6,8,6,10,71,8,1,10,32,8,16,10,52,8,5,10,6,8,1,10,8,8,1,10,46,8,1,10,47,4,1,19,5,4,668,},
{4,674,9,1,8,21,10,3,8,5,10,11,8,3,10,1,8,17,10,15,9,3,18,1,15,2,18,1,8,3,9,1,8,2,18,2,8,6,15,2,14,13,15,4,14,25,15,7,8,8,18,2,15,4,14,4,15,1,18,1,8,1,18,2,8,2,9,1,8,2,15,1,14,7,15,5,14,2,15,1,14,48,15,1,14,6,15,3,8,3,10,5,8,3,10,15,8,4,10,1,8,9,10,5,8,4,10,4,8,2,18,1,8,2,10,2,8,2,18,3,14,7,15,1,8,2,15,1,8,1,10,2,8,2,10,2,8,1,14,2,3,1,14,2,15,1,8,3,15,3,8,1,10,3,8,1,14,3,15,1,8,2,14,10,15,3,14,9,15,1,8,1,10,2,8,6,10,2,8,1,15,1,14,2,8,2,18,3,10,18,8,1,18,2,10,11,8,1,18,1,8,1,10,4,18,3,8,2,18,1,14,2,15,1,18,2,10,5,8,7,18,2,14,1,15,2,8,1,15,1,14,3,16,1,17,1,14,4,3,4,14,2,15,9,14,6,3,9,14,38,15,2,8,2,15,1,14,13,15,1,8,3,15,1,14,33,15,12,14,4,15,1,8,2,15,1,14,5,15,4,14,3,15,7,18,5,15,3,18,20,15,14,18,2,15,28,18,4,15,2,18,1,8,3,18,4,8,7,18,1,8,2,18,1,8,83,10,1,8,46,10,2,8,7,10,3,8,5,10,2,8,17,10,5,8,3,10,2,8,13,10,15,8,4,10,188,8,1,10,13,8,5,10,2,4,1,19,6,4,39,10,16,4,72,19,6,4,54,10,2,8,1,10,6,8,6,10,104,8,16,10,52,8,5,10,6,8,1,10,8,8,1,10,2,8,2,10,88,8,1,18,1,4,1,19,5,4,668,},
{4,675,10,1,8,20,10,3,8,5,10,4,18,3,10,9,8,16,10,14,9,2,8,1,15,4,18,1,15,1,8,2,9,3,8,4,9,3,8,1,15,1,14,3,3,3,14,8,15,3,14,26,15,3,14,3,15,1,8,3,15,3,8,3,18,5,15,1,14,3,15,1,18,1,8,3,9,3,8,2,15,1,14,2,3,3,14,2,15,3,14,10,15,2,14,40,15,3,14,5,15,2,8,4,10,4,8,3,10,5,8,2,10,11,8,1,10,1,8,4,10,3,8,4,10,3,8,2,18,2,8,1,10,3,8,2,18,2,8,1,10,3,8,1,18,1,14,1,18,1,14,6,15,1,14,2,15,1,8,1,15,1,8,1,10,2,8,2,10,2,8,1,14,2,3,2,14,2,15,5,8,2,10,3,8,1,14,2,15,2,8,2,15,1,14,10,15,2,14,8,8,2,10,2,8,7,10,2,8,1,18,1,14,2,8,2,14,2,18,1,10,18,9,1,18,2,9,1,10,9,8,1,18,2,8,1,10,4,18,6,3,2,14,1,18,2,10,5,8,3,10,3,8,2,18,2,15,1,8,2,15,1,14,2,16,3,14,4,16,2,3,1,14,2,15,1,8,8,15,2,14,7,3,5,14,40,15,2,8,2,15,2,14,13,8,3,15,1,14,2,3,2,14,28,15,5,14,12,15,1,8,1,15,1,14,2,15,8,14,3,15,1,14,1,15,5,18,6,15,2,18,20,15,37,8,2,15,11,18,1,8,4,18,3,8,3,10,3,8,1,18,2,8,83,10,3,8,45,10,3,8,7,10,2,8,5,10,4,8,16,10,5,8,19,10,13,8,4,10,188,8,2,10,11,9,2,18,1,9,1,8,2,10,2,4,2,19,5,4,40,10,17,4,73,19,1,4,1,19,1,4,55,10,9,8,6,10,95,8,2,10,5,8,15,10,74,8,2,10,2,8,3,10,86,8,1,18,2,4,1,19,5,4,668,},
{4,675,10,2,8,19,10,6,8,1,10,6,18,2,10,9,8,17,10,13,9,1,8,1,15,4,8,3,15,1,18,1,8,1,9,3,8,2,9,2,10,1,9,1,8,1,15,1,14,2,3,5,14,3,3,3,14,30,15,2,14,4,15,1,8,2,15,1,14,3,15,1,8,3,18,4,15,1,14,3,15,1,8,1,9,2,10,3,9,2,8,1,15,2,14,2,3,2,14,2,15,1,14,9,3,1,14,2,15,3,14,2,3,1,14,18,3,2,14,16,15,3,14,5,15,2,8,4,10,4,8,1,18,1,8,1,10,5,8,2,10,4,8,2,10,7,8,3,10,8,8,2,18,4,8,3,10,2,8,2,18,2,8,1,10,3,8,1,14,1,3,1,14,1,3,3,14,2,15,2,14,3,15,1,8,1,10,3,8,1,15,1,8,1,10,1,8,1,15,1,14,1,3,2,14,2,15,4,8,2,10,4,8,1,15,3,8,3,15,1,14,10,15,2,14,7,15,1,8,1,10,2,8,6,15,1,8,1,10,2,8,1,18,1,14,2,8,2,14,2,18,1,10,19,18,2,9,1,10,9,18,3,8,1,10,4,8,1,18,3,14,1,3,3,14,2,18,2,8,1,10,2,8,1,18,2,8,1,10,4,8,1,18,1,15,1,18,1,8,2,15,1,14,1,17,1,16,3,14,3,3,1,16,2,14,2,15,1,8,5,10,3,8,2,15,1,14,9,3,2,14,31,15,2,14,8,15,2,8,2,15,2,14,4,3,3,14,2,3,2,14,2,15,1,8,2,15,1,14,2,3,2,14,28,15,3,14,4,3,2,14,9,15,2,14,2,15,1,8,3,15,2,14,8,15,6,18,5,15,1,18,20,15,4,18,2,15,8,18,2,15,16,14,2,15,16,18,1,8,5,18,2,8,3,10,3,8,1,18,4,8,81,10,4,8,36,18,2,8,5,10,6,8,4,10,4,8,3,10,5,8,16,10,4,8,4,10,3,8,15,10,25,8,3,10,109,8,1,10,75,4,2,18,1,4,3,18,1,10,2,4,4,19,5,4,36,19,1,4,3,10,1,8,1,10,9,8,4,10,4,4,133,10,8,8,3,10,95,8,2,10,5,8,3,10,3,8,7,10,7,8,4,10,65,8,2,10,2,8,1,18,1,8,3,10,84,18,2,4,3,19,4,4,668,},
{4,674,10,2,8,19,10,4,8,1,10,2,8,2,10,3,8,1,10,3,8,2,10,1,8,2,10,6,8,14,10,13,9,1,8,1,15,1,14,3,15,1,8,11,9,1,10,2,9,1,8,1,15,1,14,2,3,4,14,4,3,3,14,30,15,2,14,2,3,1,14,2,15,2,14,5,15,1,8,2,18,2,15,3,14,3,15,1,18,1,8,1,9,1,10,3,9,2,8,1,15,2,14,18,15,2,8,1,15,1,14,6,3,2,14,13,16,2,14,17,15,2,14,5,15,5,8,1,10,4,8,2,10,5,8,3,10,4,8,2,10,6,8,3,10,8,8,2,18,3,8,6,10,2,8,4,10,2,8,1,18,1,14,1,3,1,14,1,3,3,14,2,15,1,14,5,15,1,8,1,10,2,8,1,15,1,8,3,15,1,14,2,3,2,14,3,15,2,8,2,10,2,8,3,15,2,8,4,15,1,14,16,15,2,8,2,10,3,8,1,18,2,8,3,18,1,8,1,10,3,8,1,18,2,8,2,14,1,18,1,8,1,10,19,8,1,18,2,8,2,10,7,18,1,14,2,8,1,10,4,8,1,18,2,14,1,3,5,14,2,18,2,8,2,18,3,8,1,10,5,8,1,15,4,14,2,16,4,14,3,16,3,14,3,15,2,8,3,10,3,8,2,15,3,14,32,15,1,8,2,15,8,14,7,15,5,14,3,3,8,14,3,15,1,8,2,15,1,14,1,3,4,14,27,15,3,14,3,17,1,16,2,3,1,14,7,15,3,14,2,15,2,8,2,15,3,14,1,15,1,14,1,15,1,14,4,15,11,18,21,15,3,18,2,15,26,14,3,15,6,14,1,15,8,18,1,8,10,10,3,8,126,18,1,8,7,10,6,8,3,10,4,8,3,10,6,8,15,10,4,8,5,10,2,8,15,10,25,8,3,10,109,8,1,10,68,4,19,19,6,4,33,19,5,4,2,18,1,8,1,10,8,8,5,10,4,18,1,4,8,19,7,4,62,19,5,4,50,10,10,8,3,10,93,8,2,10,5,8,3,10,17,8,1,10,68,8,2,10,1,8,1,18,2,8,4,10,82,4,6,19,4,4,668,},
{4,674,10,1,8,17,10,3,8,1,10,3,8,1,10,3,8,4,10,2,8,11,10,11,18,1,10,9,8,2,10,5,9,1,8,1,15,1,14,4,15,1,18,1,8,10,9,1,10,2,9,1,8,1,15,1,14,2,3,3,14,6,3,1,14,3,15,1,14,41,15,7,14,5,15,1,8,2,9,3,8,4,15,1,14,12,15,1,14,3,15,6,14,5,3,1,16,3,3,1,14,21,17,2,14,8,15,2,14,3,15,1,8,1,15,1,14,2,15,1,8,1,10,12,8,2,10,5,8,2,10,4,8,3,10,9,8,1,18,3,8,1,10,2,8,4,10,7,8,2,15,1,14,7,15,1,14,7,15,1,8,9,14,2,3,2,14,4,15,1,10,2,8,1,15,3,14,1,15,1,8,3,15,2,14,12,15,5,8,1,10,5,8,4,18,1,8,3,10,4,8,3,18,1,14,1,18,1,8,1,10,5,8,2,10,7,8,2,10,3,8,1,18,1,14,2,8,1,10,7,8,1,18,2,8,1,10,4,18,2,14,2,3,5,14,2,18,1,8,2,18,3,15,2,8,1,10,4,8,1,15,2,14,3,16,4,17,1,14,2,17,1,16,2,14,6,15,1,8,3,10,2,9,1,8,1,15,4,14,6,15,1,14,2,3,1,14,20,15,1,8,6,15,5,14,8,15,3,14,3,3,4,14,2,3,2,14,3,15,1,8,3,14,1,3,1,16,1,3,1,14,1,17,2,14,31,17,2,16,2,17,1,14,6,15,1,8,2,15,2,14,1,15,11,14,4,18,6,15,1,14,2,15,1,18,9,15,1,18,7,8,5,15,6,8,5,15,19,14,13,15,1,14,1,15,2,18,11,8,4,10,3,8,9,18,2,8,37,18,4,8,59,10,2,8,21,10,12,8,2,10,6,8,17,10,3,8,20,10,27,8,1,10,54,8,3,10,121,4,4,19,3,4,13,19,6,4,32,19,4,4,4,10,10,8,2,10,8,4,8,19,7,4,61,19,8,4,43,19,3,4,2,10,10,8,2,18,1,8,1,10,93,8,1,10,7,8,2,10,7,8,2,10,4,8,2,10,7,8,4,10,31,8,3,10,24,8,2,10,2,8,7,10,5,8,3,10,74,4,5,19,4,4,669,},
{4,673,10,2,8,14,10,14,8,4,10,2,8,11,10,21,8,2,10,5,8,1,18,1,15,1,14,4,15,2,8,2,10,1,9,1,8,2,18,2,8,3,10,2,8,1,18,1,15,1,14,11,3,1,14,2,15,2,14,46,15,1,14,7,15,2,8,6,15,2,14,15,15,2,8,2,15,2,14,6,16,3,17,1,14,33,15,1,14,3,15,1,8,1,15,1,14,2,15,1,10,13,8,1,10,6,8,2,10,4,8,1,18,1,8,1,10,4,8,2,10,3,8,2,18,1,8,1,10,4,8,3,10,7,8,2,15,2,14,5,15,2,14,9,15,1,8,1,9,1,8,5,15,1,14,1,3,3,14,3,15,1,9,2,8,1,15,2,14,3,8,2,15,3,14,12,15,1,8,4,10,5,8,5,18,1,8,2,10,6,8,2,18,2,8,1,10,5,8,1,18,2,10,5,9,1,8,2,18,1,8,1,10,3,18,1,14,2,8,1,10,7,8,1,18,2,8,1,10,3,9,1,18,2,14,4,15,1,18,1,14,2,3,1,14,1,18,2,15,1,14,1,15,3,18,1,8,1,10,4,8,1,15,1,14,2,16,4,17,1,14,2,17,1,16,3,14,2,16,3,14,1,15,1,8,4,9,2,8,1,14,6,15,2,8,3,15,1,14,1,3,1,14,20,8,2,10,3,8,2,15,5,14,4,15,2,14,7,3,4,14,3,3,2,14,2,15,2,8,3,14,1,16,2,3,1,14,1,17,3,14,31,17,2,16,1,17,1,14,6,15,1,8,3,15,3,14,4,15,6,14,4,15,1,18,3,15,1,14,5,15,2,18,2,15,9,18,3,8,6,15,5,8,7,15,12,14,18,15,5,18,12,8,4,10,3,8,3,18,1,8,4,18,3,8,36,18,4,8,33,18,1,8,26,10,1,8,23,10,6,8,1,10,4,8,1,10,6,8,17,10,2,8,21,10,29,8,3,10,44,8,2,10,4,8,3,10,115,8,1,10,4,4,4,19,5,4,12,19,6,4,32,19,4,4,4,10,22,4,6,19,8,4,60,19,8,4,42,19,5,4,2,10,10,18,3,8,1,10,101,8,2,10,2,8,2,10,2,8,2,10,4,8,2,10,7,8,4,10,48,8,4,10,6,8,2,10,2,8,3,10,2,8,2,10,6,8,3,10,71,8,1,10,1,4,3,19,6,4,669,},
{4,673,10,3,8,12,10,2,8,2,10,11,8,17,10,28,8,1,18,2,15,5,8,2,9,1,10,2,8,7,9,2,8,1,15,2,14,11,3,1,14,8,3,1,16,3,3,1,14,46,15,8,14,15,15,2,8,3,15,6,14,3,3,1,14,30,7,1,14,8,15,3,14,2,8,1,10,2,8,1,10,9,8,1,10,5,8,5,10,3,8,1,18,1,8,2,10,3,8,3,10,3,8,3,10,13,8,5,15,1,14,4,15,2,14,5,3,2,14,2,15,1,8,1,9,2,8,1,15,2,8,1,15,1,14,1,3,1,14,2,3,2,14,1,15,1,8,3,18,1,15,1,14,3,15,6,14,11,15,1,8,4,10,5,8,2,18,1,8,4,10,7,8,4,10,4,8,3,18,1,8,1,10,4,8,2,18,3,8,1,10,3,8,1,18,1,15,1,8,1,10,5,8,3,10,4,9,1,8,2,18,6,8,2,18,1,14,1,3,2,14,4,18,3,8,2,10,4,8,1,15,1,14,1,16,3,17,1,14,3,17,1,16,5,17,1,16,2,14,2,8,7,15,1,14,1,3,1,14,4,15,1,8,4,15,1,14,22,8,1,10,4,8,2,15,1,14,2,15,1,14,13,3,4,14,4,3,1,14,2,15,3,8,3,14,1,3,2,14,2,17,1,16,1,17,1,14,10,17,2,14,15,17,1,14,4,17,2,14,7,15,1,8,3,15,3,14,4,15,6,14,5,15,4,14,7,15,14,18,2,8,3,15,1,8,1,15,3,8,8,15,11,14,5,15,2,14,6,15,11,18,15,8,1,10,3,8,2,18,3,8,41,18,5,8,13,10,3,8,68,10,11,8,2,10,4,8,19,10,1,8,21,10,29,8,1,10,170,8,1,10,3,4,4,19,12,4,6,19,6,4,32,19,5,4,2,10,27,4,2,19,8,4,7,19,6,4,47,19,8,4,42,19,5,4,1,10,11,8,7,10,98,8,1,10,3,8,1,10,3,8,2,10,5,8,1,10,7,8,4,10,46,8,4,10,8,8,2,10,2,8,3,10,2,8,2,10,49,8,1,10,30,8,1,10,1,4,3,19,5,4,670,},
{4,674,10,2,8,16,10,11,8,17,10,2,8,1,10,25,8,2,18,1,15,4,18,1,8,2,9,1,10,2,9,1,8,8,15,1,14,21,3,1,16,4,3,1,14,49,15,1,14,2,15,3,14,5,3,2,14,7,15,3,8,2,15,7,14,33,15,1,14,8,15,3,14,1,15,1,8,1,10,2,8,1,10,4,8,3,10,1,8,2,10,5,8,5,10,2,8,5,10,3,8,3,10,18,9,1,8,5,15,1,14,5,15,1,14,3,3,2,16,2,3,1,14,1,15,2,8,3,15,1,8,3,14,4,3,2,14,1,15,3,8,3,15,1,14,3,15,1,14,1,15,4,14,10,15,1,8,3,10,5,8,2,18,2,8,2,10,9,8,1,18,1,8,1,10,6,8,4,10,4,8,1,18,1,15,2,18,1,8,1,10,4,8,1,18,2,8,5,18,1,8,1,10,4,9,1,8,4,9,3,8,1,9,1,10,2,8,1,18,1,3,6,14,1,18,1,8,3,10,5,8,1,14,1,16,3,17,1,14,2,17,2,16,8,14,1,15,1,8,1,10,1,9,5,15,1,14,1,3,2,14,3,15,1,8,4,15,1,14,21,15,1,8,1,10,2,8,4,15,1,14,14,3,4,14,9,15,4,8,2,14,2,3,1,14,2,17,1,16,1,17,5,14,5,17,2,14,13,17,1,14,16,15,1,8,2,15,4,14,5,15,5,14,5,15,3,14,9,15,1,14,1,15,2,14,9,15,2,18,2,15,7,8,7,15,10,14,6,15,2,14,5,15,12,18,15,8,1,10,3,8,1,18,2,14,1,18,1,8,41,18,5,8,13,10,4,8,7,10,3,8,57,10,1,8,1,10,9,8,2,10,4,8,42,10,17,8,2,10,9,8,1,10,170,8,1,10,3,4,3,19,13,4,6,19,6,4,32,19,5,4,2,10,22,8,2,10,3,4,3,19,7,4,6,19,8,4,46,19,8,4,42,19,5,4,1,10,15,8,3,10,105,8,3,10,1,8,2,10,51,8,2,10,6,8,5,10,9,8,1,10,2,8,3,10,84,8,1,10,1,4,3,19,5,4,670,},
{4,673,10,3,8,16,10,12,8,19,10,25,9,1,8,2,18,1,15,1,18,2,8,3,9,1,10,3,8,4,18,2,8,1,15,1,14,23,16,5,14,52,15,3,14,1,15,1,14,3,3,2,14,7,15,12,14,40,15,4,14,2,15,1,8,1,10,7,8,1,18,1,8,4,10,10,8,8,10,2,8,3,10,11,9,1,10,6,8,3,9,1,8,2,15,1,14,2,17,1,14,6,3,1,16,3,3,1,14,2,15,1,8,3,15,1,8,1,9,1,8,1,15,1,14,1,15,1,14,1,3,1,16,1,14,3,15,1,8,3,15,1,14,3,15,1,14,1,15,4,14,3,3,1,14,6,15,1,8,3,10,4,8,2,18,2,8,2,10,9,8,2,18,2,10,14,8,1,18,1,15,2,18,1,8,2,10,2,8,1,18,1,15,1,14,2,18,3,8,3,10,4,8,3,9,1,10,4,9,1,10,4,18,2,3,5,14,1,18,1,8,1,9,1,8,1,9,1,10,4,8,1,14,1,16,3,17,4,16,9,14,1,15,1,8,1,10,6,8,1,14,6,15,1,8,1,15,4,14,22,8,6,15,2,14,13,3,2,14,5,15,2,14,4,15,7,14,5,17,1,16,1,17,6,14,4,17,2,14,12,17,2,14,16,15,7,14,6,15,2,14,7,15,3,14,24,15,10,8,5,15,3,14,15,15,1,14,4,15,6,18,2,15,1,18,1,15,3,18,15,8,1,10,3,8,1,18,1,14,2,18,1,8,40,18,7,8,12,10,5,8,6,10,3,8,57,10,11,8,2,10,4,8,5,10,2,8,36,10,16,8,4,10,177,8,2,10,3,4,1,19,21,4,38,19,4,4,4,10,12,8,1,10,3,8,1,10,3,8,3,10,3,4,16,19,8,4,61,19,4,4,30,19,6,4,1,10,123,8,2,10,2,8,3,10,50,8,13,10,12,8,3,10,56,8,4,10,24,8,1,18,1,4,2,19,6,4,670,},
{4,673,10,1,8,18,10,13,8,4,10,1,8,7,10,2,8,4,10,26,8,1,18,1,15,1,18,4,8,3,9,3,8,3,18,2,15,2,14,15,15,1,14,2,3,1,14,5,3,1,16,3,3,1,14,39,15,1,14,5,3,2,14,6,15,4,14,14,15,3,14,1,15,6,14,27,15,3,14,10,15,1,8,1,15,1,14,3,18,1,8,1,10,7,8,1,18,1,8,1,10,1,8,1,10,11,8,3,10,3,8,2,10,2,8,3,10,11,8,1,9,1,10,3,9,1,8,2,9,1,10,1,9,1,8,1,15,1,14,2,17,1,16,1,17,1,14,6,3,1,16,2,3,1,14,3,15,1,8,4,9,2,8,1,15,2,14,1,3,1,16,1,3,1,14,2,15,1,8,3,15,1,14,2,15,2,14,2,15,3,14,3,3,1,14,6,15,1,8,13,10,9,8,1,18,1,14,2,10,14,8,1,18,1,14,1,15,1,8,6,18,1,15,1,14,3,18,2,8,2,10,4,8,2,9,1,10,6,9,1,10,5,8,1,18,1,14,1,3,4,15,1,18,1,8,4,9,1,10,2,8,1,14,1,16,3,17,1,16,13,14,1,15,1,8,1,9,1,10,5,8,1,14,6,15,8,14,19,8,4,15,4,14,17,15,5,14,4,15,4,14,2,15,1,14,5,17,1,16,1,17,1,14,2,17,3,14,3,17,2,14,30,15,2,14,2,15,3,14,16,15,3,14,9,15,2,14,15,15,15,14,16,15,1,14,5,15,4,18,3,15,5,18,1,8,2,18,4,8,5,18,4,8,1,10,1,8,3,18,3,8,40,18,3,8,3,18,3,8,10,10,6,8,5,10,3,8,33,10,3,8,22,10,1,8,3,10,6,8,2,10,3,8,5,10,4,8,36,10,14,8,6,10,7,8,3,10,170,4,2,19,21,4,38,19,4,4,4,10,9,8,1,10,2,8,1,10,13,18,2,4,14,19,8,4,61,19,5,4,28,19,6,4,1,18,1,10,121,8,4,10,1,8,4,10,8,8,1,10,41,8,12,10,13,8,4,10,55,8,6,10,23,18,1,4,2,19,6,4,670,},
{4,673,18,1,8,18,10,13,8,12,10,3,8,3,10,26,8,1,15,3,18,4,8,8,18,2,15,1,14,19,3,1,14,6,3,1,16,1,3,1,14,39,15,4,14,3,3,3,14,6,15,3,14,19,15,5,14,2,16,1,14,24,15,3,14,9,15,1,8,2,15,1,14,3,18,1,8,1,10,7,8,2,10,15,8,2,10,3,8,3,10,4,8,3,10,8,8,2,10,2,8,3,9,1,10,2,8,1,15,1,14,2,17,1,16,1,17,1,14,3,15,3,14,1,3,1,16,2,3,1,14,3,15,1,8,4,9,3,8,1,15,1,14,1,3,3,14,2,15,1,8,3,15,1,14,2,15,2,14,2,15,2,14,4,3,1,14,6,15,1,8,3,15,3,18,2,8,6,10,8,8,1,18,1,14,2,18,1,10,12,8,1,18,2,15,1,18,1,8,7,18,1,14,2,18,1,8,5,10,1,8,4,10,6,8,2,9,1,10,5,9,1,8,1,14,1,3,3,14,1,15,1,8,2,18,2,8,1,10,2,8,1,14,1,16,17,14,2,15,1,8,1,9,1,10,4,9,1,15,1,14,2,3,1,14,2,15,9,14,18,8,3,15,1,14,2,15,2,14,16,15,6,14,4,15,3,14,9,17,1,16,1,17,1,14,3,17,2,14,22,15,2,14,10,15,3,14,20,15,4,14,8,15,4,14,15,15,2,14,2,15,11,14,21,15,12,18,1,8,1,18,5,8,1,18,1,8,2,18,5,8,6,18,2,8,40,18,2,8,5,18,2,8,7,10,2,8,4,10,4,8,4,10,2,8,33,10,5,8,20,10,2,8,1,10,12,8,6,10,4,8,8,10,4,8,24,10,14,8,7,10,6,8,4,10,169,4,2,19,5,4,4,19,12,4,38,19,5,4,3,10,9,8,1,10,16,18,12,4,4,19,9,4,60,19,7,4,26,19,6,4,1,9,1,8,1,10,118,8,2,18,2,8,1,10,2,8,3,10,2,8,1,10,6,8,2,10,40,8,11,10,13,8,5,10,55,8,7,10,23,4,3,19,5,4,670,},
{4,673,10,1,8,16,10,2,8,1,10,3,18,2,10,15,8,1,10,1,8,2,10,3,8,2,10,27,8,1,15,1,14,1,15,1,8,1,18,2,15,3,8,8,15,1,14,11,3,1,14,2,3,1,14,4,3,1,14,6,3,2,14,41,15,3,14,3,3,1,16,1,3,1,14,29,15,3,14,2,3,1,16,1,3,1,14,35,15,1,8,3,14,3,15,1,8,2,10,6,8,2,10,15,8,1,10,4,8,4,10,2,8,5,10,7,9,1,8,1,10,2,8,3,10,3,8,1,14,2,3,1,14,2,17,1,14,3,15,1,8,2,15,1,14,1,3,4,14,2,15,1,8,1,9,5,10,1,8,1,15,1,14,2,3,3,14,1,15,2,8,1,18,1,15,1,14,2,15,2,14,2,15,2,14,10,15,4,14,5,15,2,18,1,8,9,10,3,8,1,18,1,14,1,3,1,18,1,8,1,10,9,8,2,18,3,15,1,18,1,8,1,10,1,8,6,18,2,8,5,18,1,8,1,18,2,8,1,9,1,10,5,8,1,18,1,8,1,9,1,10,7,18,1,14,1,3,2,14,2,15,3,18,1,8,1,10,1,8,1,14,2,17,1,16,1,17,1,16,16,14,2,15,1,8,1,10,4,15,1,14,1,3,3,14,1,15,3,8,3,15,2,14,19,8,2,15,1,14,20,15,2,8,1,15,3,14,5,15,3,14,9,17,2,14,4,17,2,14,21,7,1,15,2,14,10,15,1,8,1,14,22,15,3,14,7,15,2,18,2,15,4,14,1,15,1,14,4,15,9,14,1,15,12,14,20,15,12,18,17,8,2,10,2,8,43,18,2,8,5,18,2,8,7,10,3,8,4,10,4,8,38,10,6,8,19,10,14,8,6,10,5,8,6,10,6,8,24,10,13,8,12,10,2,8,5,10,7,8,2,10,13,8,3,10,142,4,3,19,4,4,5,19,12,4,38,19,5,4,3,10,4,8,1,10,10,8,1,10,5,8,2,10,4,8,1,10,5,18,5,10,2,4,6,19,6,4,60,19,7,4,25,19,5,4,2,9,1,8,3,10,115,8,1,18,4,8,1,10,2,8,2,10,2,8,2,10,5,8,3,10,40,8,3,10,22,8,4,10,56,8,7,10,22,4,2,19,6,4,670,},
{4,673,10,1,8,15,10,3,8,2,18,4,10,51,8,1,15,1,14,1,15,1,8,2,18,1,15,3,18,1,8,3,9,1,8,3,18,1,15,1,14,5,15,1,14,3,3,3,14,12,3,1,16,1,3,1,14,15,15,2,14,25,15,2,14,3,3,1,16,1,3,1,14,29,15,2,14,3,3,1,16,1,14,36,15,1,8,3,14,1,3,1,14,1,15,1,8,2,10,4,8,5,10,13,8,3,10,3,8,1,18,1,8,6,18,2,8,2,9,1,10,8,9,1,8,1,15,1,8,1,10,3,15,1,14,9,8,3,15,1,14,1,3,1,16,2,3,1,14,2,15,1,8,1,10,3,9,2,10,1,8,1,15,1,14,2,3,3,14,2,15,3,14,3,15,2,14,2,15,2,14,9,15,4,14,7,18,6,14,1,18,3,8,2,10,2,8,1,18,1,14,3,8,2,10,7,8,2,18,4,14,1,15,1,8,1,10,1,8,3,10,3,8,3,10,2,8,1,18,1,14,1,18,3,8,1,10,5,9,1,18,2,8,1,10,3,9,2,10,3,8,1,18,1,14,6,15,1,8,1,10,1,8,1,14,2,16,1,17,1,14,2,17,1,16,16,17,1,14,1,15,1,8,4,15,1,14,1,16,2,3,1,14,1,15,1,8,6,14,7,15,5,14,7,15,1,8,2,15,1,14,20,15,5,14,6,15,3,14,9,17,2,14,4,17,2,14,3,17,1,14,30,15,1,8,1,14,22,15,4,14,5,15,3,8,1,15,34,14,20,15,11,18,17,8,2,10,2,8,43,18,1,8,6,18,2,8,7,10,3,8,4,10,5,8,37,10,6,8,24,10,9,8,6,10,5,8,5,10,7,8,25,10,6,8,1,10,1,8,23,10,7,8,2,10,13,8,3,10,142,4,12,19,11,4,38,19,6,4,3,10,14,8,2,10,4,8,4,10,10,8,4,10,4,4,5,19,6,4,49,19,5,4,5,19,8,4,24,19,5,4,1,18,4,8,2,10,48,8,1,10,63,8,2,18,4,8,1,10,7,8,2,10,5,8,4,10,39,8,1,10,24,8,4,10,12,8,2,10,42,8,8,10,21,4,2,19,6,4,670,},
{4,673,10,1,8,15,10,2,8,3,18,3,10,52,8,1,14,2,18,1,8,5,15,2,8,2,9,1,10,4,8,2,18,1,15,3,18,2,15,1,14,13,15,1,14,2,3,1,16,2,3,1,14,15,15,2,14,30,3,1,16,1,3,1,14,28,15,3,14,2,3,1,14,23,17,1,16,1,17,1,14,4,15,2,14,6,15,1,8,2,15,1,14,1,3,1,14,1,15,2,8,2,10,3,8,1,18,1,8,2,18,1,8,1,10,5,8,4,10,3,8,3,10,3,8,1,18,1,8,6,18,2,8,1,9,1,10,9,9,1,18,2,9,1,10,2,8,1,14,1,3,2,14,4,16,1,14,2,8,1,10,2,8,1,14,2,3,1,16,2,3,1,14,1,15,1,8,1,10,4,9,1,8,2,15,2,14,6,15,3,14,7,15,5,14,6,15,2,14,13,15,1,14,5,18,1,8,5,18,3,8,2,10,6,8,2,18,5,14,2,8,1,10,1,8,3,10,8,8,1,18,1,14,1,18,3,8,1,10,5,18,1,15,1,18,1,8,1,10,3,8,2,9,1,10,3,9,1,8,1,18,1,14,4,15,1,10,1,8,1,15,1,3,1,16,2,14,3,17,1,16,18,14,3,15,2,14,1,3,1,16,2,3,1,14,1,15,1,8,1,10,3,8,2,14,8,15,5,14,6,15,1,8,2,15,1,14,22,15,1,14,8,15,3,14,9,17,2,14,4,17,7,14,29,15,2,14,23,15,3,14,5,15,2,8,3,15,29,8,2,15,2,14,15,15,2,14,6,15,7,18,17,8,2,10,3,8,59,10,3,8,4,10,5,8,37,10,5,8,25,10,9,8,5,10,5,8,6,10,5,8,26,10,6,8,24,10,24,8,2,10,142,4,13,19,7,4,41,19,7,4,2,9,1,10,13,8,3,10,4,8,4,10,11,8,3,10,6,4,3,19,7,4,48,19,5,4,6,19,7,4,24,19,5,4,2,18,3,8,1,18,1,8,1,10,92,8,5,10,13,8,2,18,1,8,3,10,7,8,3,10,6,8,4,10,64,8,5,10,10,8,4,10,43,8,6,10,21,4,2,19,5,4,671,},
{4,673,18,1,8,19,18,3,10,51,9,1,8,1,18,1,14,1,15,1,8,10,10,6,8,3,18,1,8,3,18,1,15,1,14,10,15,3,14,2,3,3,14,48,3,2,14,12,15,2,14,14,15,3,14,19,15,1,14,3,15,1,14,3,17,1,16,2,17,1,14,3,15,2,14,6,15,1,8,2,15,1,14,1,3,1,14,2,15,1,8,2,10,3,8,1,18,1,8,2,18,2,10,3,8,7,10,1,8,4,10,3,8,4,15,2,8,5,10,3,9,1,10,6,8,1,15,1,18,1,9,1,10,1,9,1,15,1,3,1,16,1,14,2,15,1,14,1,16,2,3,1,14,1,8,2,10,1,8,1,15,1,14,1,3,1,16,2,3,1,14,2,15,1,8,1,10,4,8,3,15,1,14,6,15,3,14,7,15,1,8,4,15,3,14,3,15,1,14,6,15,1,14,6,18,3,14,4,18,2,8,6,10,9,8,1,18,4,8,1,18,1,14,2,8,6,10,7,8,2,18,1,8,5,10,2,8,1,18,2,15,1,18,1,9,1,10,3,9,1,8,3,9,1,10,2,9,1,18,3,15,1,18,1,8,1,10,1,8,1,14,1,16,3,14,2,17,1,16,21,14,4,16,4,3,1,15,1,8,1,10,3,8,2,14,9,15,4,14,6,15,1,8,2,15,1,14,25,15,2,14,4,15,3,14,9,17,2,14,3,17,8,14,54,15,3,14,4,15,3,8,3,15,22,14,2,15,6,8,1,15,2,14,1,15,4,14,10,15,4,14,4,15,5,18,15,8,6,10,1,8,3,18,2,8,5,18,3,8,48,10,3,8,3,10,5,8,39,10,4,8,4,10,2,8,12,10,1,8,6,10,9,8,5,10,3,8,9,10,3,8,27,10,4,8,25,10,6,8,3,10,160,4,2,19,3,4,8,19,6,4,41,19,8,4,1,18,1,10,22,8,3,10,11,8,3,10,6,4,3,19,8,4,47,19,6,4,6,19,6,4,24,19,5,4,5,9,1,8,3,10,90,8,7,10,4,8,2,10,5,8,5,10,8,8,3,10,7,8,2,10,1,8,1,10,65,8,5,10,9,8,4,10,45,8,3,10,22,4,1,19,5,4,672,},
{4,673,10,1,8,18,10,1,8,3,10,37,8,2,10,12,8,2,18,1,15,2,8,1,9,3,8,6,10,7,8,7,15,3,14,6,15,4,14,34,3,1,14,32,15,4,14,11,15,5,14,18,15,3,14,1,15,2,14,3,17,1,16,3,14,3,15,2,14,7,15,2,14,5,15,1,8,2,10,3,8,6,10,3,8,3,18,2,8,13,18,1,14,1,15,1,8,1,10,1,8,3,10,3,8,2,10,4,9,1,8,1,15,2,8,2,15,1,14,1,16,2,14,2,8,1,15,1,16,3,14,1,15,1,8,1,10,1,8,2,14,1,3,1,16,2,3,2,14,2,8,1,9,1,10,3,15,2,8,2,14,6,15,2,18,1,15,1,14,6,15,1,8,6,15,1,14,8,15,1,18,4,14,3,18,1,8,3,18,2,14,2,18,3,8,4,10,7,8,4,18,4,8,1,18,1,15,2,8,6,10,12,8,2,18,4,15,2,18,1,8,1,10,4,9,1,8,4,9,1,10,2,8,1,18,1,8,2,10,3,15,1,3,1,16,3,14,1,17,1,16,24,14,2,16,4,3,1,14,1,8,1,10,4,8,1,15,1,14,18,15,1,8,2,14,16,15,1,14,9,15,2,14,3,15,4,14,8,3,1,17,2,14,3,17,9,14,53,15,3,14,4,15,3,8,3,15,16,14,10,15,7,14,1,15,1,14,2,15,1,14,10,15,6,14,1,15,6,18,4,8,5,18,4,8,11,18,3,8,5,18,2,8,49,10,10,8,40,10,3,8,5,10,3,8,18,10,4,8,1,10,4,8,5,10,1,8,42,10,2,8,25,10,6,8,4,10,159,4,2,19,4,4,8,19,6,4,40,19,9,4,1,10,39,8,1,10,6,4,5,19,6,4,47,19,6,4,2,10,2,4,2,19,6,4,24,19,6,4,4,10,1,8,2,18,1,10,10,8,1,10,75,8,12,10,2,8,4,10,3,8,5,10,3,8,2,10,3,8,4,10,6,8,3,10,67,8,6,10,9,8,2,10,71,4,1,19,5,4,672,},
{4,673,10,1,8,22,10,36,8,3,10,12,8,2,18,1,15,2,8,1,9,2,10,1,9,1,8,5,10,8,8,6,18,1,15,5,14,3,15,4,14,34,3,2,14,14,3,1,14,13,15,7,14,10,15,5,14,20,15,5,14,4,17,1,16,1,17,1,14,3,15,2,14,15,18,1,8,1,10,4,8,1,10,3,8,1,10,4,8,3,18,1,8,13,15,1,14,1,15,1,10,3,8,2,10,3,8,3,9,1,10,1,9,1,8,2,15,1,8,2,15,2,3,1,16,2,14,2,15,1,14,1,17,1,16,2,14,2,8,2,9,1,8,1,14,2,3,1,16,2,3,1,14,2,15,1,8,1,10,3,15,2,9,1,8,1,15,1,14,5,15,2,8,1,18,1,14,6,15,1,8,7,14,8,18,1,8,3,18,4,8,2,10,2,8,2,18,3,8,1,18,3,8,1,10,8,8,3,18,2,14,1,18,4,8,8,10,12,8,1,18,2,15,1,18,4,8,2,10,4,9,1,8,5,10,2,8,3,10,4,14,1,16,37,14,1,15,1,8,6,15,2,14,16,15,1,8,1,15,1,14,15,15,2,14,9,15,2,14,3,15,2,14,10,17,2,14,4,17,3,14,2,17,4,14,53,15,4,14,2,15,4,8,1,15,1,8,1,15,16,14,11,15,6,14,14,15,16,18,2,8,6,18,3,8,4,10,2,8,4,18,4,8,5,18,2,8,50,10,8,8,9,18,1,8,5,10,3,8,19,10,1,8,3,10,3,8,5,10,3,8,9,10,4,8,5,10,3,8,2,10,4,8,5,10,1,8,60,10,3,8,1,10,1,8,4,10,7,8,3,10,159,4,2,19,4,4,8,19,6,4,40,19,7,4,3,10,39,8,5,10,3,4,5,19,6,4,46,19,6,4,2,10,2,4,3,19,11,4,18,19,6,4,4,10,1,8,1,18,2,9,1,8,2,10,7,8,1,10,74,8,26,10,2,8,4,10,3,8,4,10,5,8,3,10,69,8,4,10,82,4,2,19,5,4,672,},
{4,673,18,1,8,21,10,4,8,2,10,13,8,7,10,10,8,4,10,12,9,1,8,2,18,2,8,2,9,1,10,2,8,6,10,6,9,1,8,5,18,3,8,3,15,2,14,40,3,1,16,1,14,14,3,1,14,12,15,7,14,11,15,5,14,6,15,1,14,15,15,4,14,26,18,1,8,1,10,13,8,11,18,3,8,2,18,1,15,1,14,1,15,1,10,3,8,3,10,2,8,3,9,3,8,1,15,1,8,3,15,1,14,1,3,1,16,2,14,5,17,1,3,1,14,2,15,1,8,1,9,1,8,1,15,1,14,1,3,1,16,2,3,1,14,3,8,1,10,2,9,1,15,2,8,2,15,1,14,5,15,2,8,2,15,2,8,1,15,1,14,2,15,1,8,7,15,1,14,1,15,2,14,2,15,1,8,2,10,2,8,4,10,6,8,1,18,2,8,3,18,2,8,1,10,4,8,2,10,2,8,4,18,1,14,1,18,3,8,1,10,2,8,7,10,11,8,1,18,3,8,6,10,4,9,1,8,2,18,2,8,1,10,2,8,3,10,3,9,1,14,1,16,18,17,2,16,17,14,1,15,1,8,7,15,4,14,12,15,4,14,4,3,2,14,21,15,1,14,2,15,2,14,4,15,2,14,4,16,2,17,1,14,5,17,1,14,5,17,2,14,20,7,1,14,32,15,20,14,20,15,5,14,15,15,16,18,3,8,4,18,5,8,2,10,2,8,1,18,1,14,1,18,4,8,6,18,3,8,50,10,7,8,9,18,2,8,4,10,4,8,23,10,3,8,4,10,4,8,9,10,1,8,1,10,2,8,5,10,3,8,3,10,3,8,65,10,7,8,2,10,163,8,2,10,5,4,1,19,4,4,9,19,6,4,40,19,4,4,5,10,41,8,4,10,4,4,4,19,6,4,47,19,4,4,3,10,2,4,7,19,7,4,20,19,4,4,4,10,2,18,2,9,1,8,3,10,2,8,2,10,2,8,2,10,74,8,24,10,2,8,5,10,3,8,4,10,3,8,4,10,70,8,4,10,56,8,1,10,25,4,2,19,4,4,673,},
{4,664,19,5,4,4,18,1,8,22,10,2,8,4,10,12,8,1,18,2,8,5,10,9,8,5,10,6,8,2,10,4,8,6,9,1,10,2,8,2,18,2,8,2,10,6,8,3,18,3,15,1,18,2,8,4,15,1,14,1,3,1,16,1,3,1,14,35,3,1,16,2,14,14,3,1,14,7,3,3,14,2,15,1,8,1,15,5,14,12,15,3,14,7,15,4,14,12,15,6,14,25,8,1,10,3,8,2,10,3,8,3,10,2,8,4,10,1,8,3,10,2,8,1,18,1,15,1,18,1,8,2,15,1,14,2,8,1,10,3,8,3,9,1,10,1,8,3,9,1,8,7,15,1,14,2,3,3,14,8,15,1,8,3,15,1,14,1,3,1,16,1,3,1,14,3,15,2,8,1,10,1,8,1,15,2,8,2,15,1,14,1,3,2,14,1,15,3,8,6,15,1,14,1,15,2,8,4,10,1,8,2,15,5,8,2,10,4,8,1,10,8,8,1,18,2,8,1,10,1,8,1,18,2,8,1,10,3,8,2,10,6,8,1,18,1,14,1,18,1,8,3,10,2,8,11,10,6,8,4,10,3,8,8,9,1,8,2,15,1,14,1,18,1,10,2,8,3,10,3,9,1,14,1,16,18,17,1,14,1,17,1,16,16,14,1,15,1,8,4,10,1,8,2,15,5,14,9,15,2,18,1,8,2,15,1,14,4,3,1,16,2,14,23,15,2,14,4,15,2,14,3,3,1,16,2,14,13,17,1,14,2,17,1,14,17,7,2,14,18,15,4,14,8,15,20,14,16,15,9,14,15,15,4,14,1,15,13,18,11,8,2,10,2,8,1,14,3,18,2,8,6,18,1,14,2,18,1,8,36,18,1,8,13,10,5,8,4,10,2,8,5,18,2,8,4,10,5,8,21,10,4,8,4,10,4,8,7,10,1,8,1,10,1,8,2,10,1,8,6,10,2,8,3,10,3,8,65,10,172,8,3,10,3,4,2,19,4,4,10,19,6,4,39,19,4,4,4,10,16,8,1,10,25,8,4,10,5,4,3,19,6,4,56,18,4,4,5,19,8,4,25,10,2,9,1,18,1,9,1,8,2,10,2,8,3,10,2,8,2,10,13,8,1,10,60,8,2,10,1,8,6,10,1,8,5,10,1,8,7,10,2,8,5,10,4,8,4,10,2,8,5,10,71,8,2,10,82,4,680,},
{4,664,19,6,4,3,18,1,8,7,10,3,8,7,10,2,8,3,10,3,8,2,10,12,8,2,18,3,8,4,10,9,8,3,10,7,18,2,8,1,10,4,9,1,8,6,9,2,8,2,15,3,8,2,9,1,10,3,8,3,18,1,15,3,18,1,8,2,10,2,8,2,14,1,3,1,16,2,3,1,14,36,16,2,14,6,3,1,14,15,3,2,14,3,15,1,8,1,15,3,14,14,15,1,14,9,15,3,14,13,15,1,14,2,15,5,14,22,15,1,8,2,10,2,8,4,10,1,8,3,10,2,8,3,10,2,8,6,15,1,14,1,15,1,18,2,15,1,14,2,18,1,10,3,18,2,8,1,10,2,8,1,15,1,18,2,8,1,9,3,8,2,15,2,14,8,15,2,14,3,15,1,8,3,15,1,14,1,3,1,16,1,3,1,14,2,15,11,14,1,3,2,14,3,15,1,8,4,10,1,8,2,15,5,8,12,10,13,8,3,10,3,8,3,10,3,8,3,10,6,8,1,18,2,8,2,9,1,10,2,8,3,10,1,8,4,18,3,8,1,10,4,8,1,18,2,8,1,10,5,8,10,18,1,14,1,15,1,8,1,10,1,8,1,9,2,10,3,15,1,3,1,16,18,17,3,16,13,14,2,16,1,14,1,15,1,8,4,10,3,8,3,15,3,14,5,15,2,14,3,15,1,8,1,15,2,14,4,3,1,16,2,14,34,16,3,14,54,15,1,14,2,15,3,14,6,15,19,14,18,15,8,14,14,15,4,14,2,15,15,18,10,8,1,10,3,15,1,14,2,18,2,8,6,18,1,14,1,15,1,18,1,8,1,18,1,8,34,18,2,8,11,10,5,8,10,18,1,8,2,18,1,8,4,10,4,8,22,10,5,8,3,10,4,8,5,10,3,8,1,10,1,8,2,10,1,8,1,10,1,8,4,10,2,8,3,10,3,8,66,10,171,8,2,10,4,4,3,19,3,4,10,19,6,4,40,19,1,4,5,18,1,10,16,8,2,10,34,4,4,19,3,4,57,18,4,10,2,4,3,19,9,4,24,18,2,10,7,8,4,10,1,8,3,10,11,8,4,10,58,8,8,10,2,8,11,10,4,8,4,10,2,8,14,10,155,4,680,},
{4,664,19,5,4,4,18,1,8,5,10,5,8,6,10,9,8,2,10,8,8,1,10,1,8,3,18,4,8,3,10,19,8,1,18,2,10,6,9,2,8,5,9,1,8,2,15,1,14,1,15,2,8,8,18,1,14,2,15,1,18,1,8,1,10,4,18,1,3,1,16,3,14,14,16,1,14,29,16,2,17,1,14,8,15,1,8,2,15,1,14,8,15,3,14,14,15,1,14,11,15,2,14,13,15,1,14,4,15,2,14,22,15,1,18,1,8,8,10,6,8,1,18,1,8,4,18,7,14,1,15,1,18,2,15,1,14,1,15,1,10,2,8,1,18,2,8,1,10,2,15,1,14,3,8,1,10,3,8,1,15,2,14,9,15,4,14,1,15,1,8,3,15,1,14,1,3,1,16,1,3,1,14,1,15,3,14,6,15,1,8,2,14,1,3,1,16,1,3,1,14,3,8,5,10,2,8,1,15,1,14,3,15,1,8,12,10,13,8,3,10,2,8,3,10,3,8,3,10,6,8,2,18,2,8,1,9,1,8,3,10,4,8,1,18,5,10,5,8,1,18,3,8,1,10,3,8,8,18,2,8,3,18,2,8,1,9,1,10,4,9,1,14,1,16,20,17,2,16,12,17,1,14,2,16,1,14,1,15,1,8,5,10,4,8,2,18,1,15,1,14,5,15,1,18,1,14,1,3,2,14,1,15,2,14,41,17,1,16,2,14,33,17,1,14,19,15,2,14,4,15,4,14,3,15,18,14,24,15,5,14,10,15,1,14,1,15,11,18,1,15,1,18,7,15,2,18,2,8,2,18,2,14,2,18,1,8,2,10,3,8,3,18,1,15,1,14,1,18,1,8,4,18,7,8,46,10,3,8,19,10,3,8,24,10,11,8,5,10,4,8,5,10,5,8,5,10,5,8,17,18,1,8,42,10,3,8,3,10,17,8,1,10,25,8,4,10,128,4,18,19,5,4,45,18,1,10,53,4,65,10,4,18,1,4,5,19,7,4,25,18,1,10,8,8,7,10,4,8,3,10,4,8,4,10,2,8,2,10,4,8,2,10,37,8,4,10,6,8,14,18,3,8,1,10,9,8,2,10,3,8,1,18,3,8,1,10,2,8,3,10,96,8,1,10,62,4,680,},
{4,664,19,5,4,4,10,1,8,5,10,5,8,4,10,21,8,4,18,2,15,1,18,2,8,3,10,19,18,3,8,1,10,7,9,1,8,6,18,1,15,1,14,1,15,2,18,2,8,4,18,2,15,1,14,2,15,1,8,1,10,4,9,1,14,1,16,3,3,1,14,1,15,2,14,6,15,1,14,2,16,3,14,29,16,3,14,6,15,2,8,4,15,1,14,24,15,1,14,6,15,1,14,4,15,2,14,26,15,1,14,15,8,4,10,1,8,5,10,6,8,1,18,2,8,2,18,8,14,3,18,1,15,1,14,2,8,1,10,1,8,1,18,2,8,1,10,2,15,1,14,3,9,1,10,3,8,1,15,2,14,8,15,2,8,2,15,1,14,2,15,2,8,1,15,1,14,1,3,1,16,1,3,1,14,1,8,1,15,1,14,2,3,1,16,1,3,2,14,1,15,1,8,2,15,1,3,1,16,1,3,3,14,1,8,5,10,3,8,1,14,3,15,1,8,5,10,3,8,5,10,6,8,2,10,6,8,1,10,8,8,4,10,6,8,1,18,2,8,4,10,5,8,2,18,4,10,5,8,1,18,2,8,13,18,1,8,1,9,1,10,1,9,1,8,1,18,2,9,1,10,4,15,1,14,1,16,23,17,1,16,11,14,4,15,1,8,5,10,5,8,2,18,2,15,1,14,2,15,1,18,2,14,1,3,2,14,44,16,2,17,1,14,59,15,4,14,3,15,2,14,7,15,9,14,24,15,5,14,10,15,13,18,13,8,1,18,4,14,1,18,2,8,1,10,6,8,1,15,1,14,2,18,1,8,8,18,1,8,47,10,3,8,18,10,4,8,26,10,7,8,7,10,4,8,5,10,6,8,3,10,6,8,10,10,2,8,5,18,1,8,9,10,3,8,29,10,4,8,4,10,16,8,1,10,23,8,7,10,126,18,1,4,18,19,5,4,45,10,55,4,64,10,4,8,1,18,1,4,5,19,6,4,26,18,1,8,6,10,2,8,6,10,4,18,3,8,1,10,2,8,4,10,3,8,2,10,4,8,2,10,30,8,10,10,7,8,14,18,3,8,1,10,12,8,4,18,2,8,1,10,2,8,3,10,94,8,3,10,62,4,680,},
{4,664,19,5,4,4,8,6,10,5,8,4,10,22,8,2,18,1,14,3,18,2,8,4,10,18,8,1,18,2,8,2,10,1,9,2,10,4,9,1,8,6,15,2,18,1,8,7,18,2,15,3,18,1,8,1,10,3,8,1,14,1,16,4,3,1,14,12,17,1,14,6,16,2,14,23,16,4,14,4,15,1,8,5,15,1,14,25,15,1,14,38,15,3,14,13,18,1,8,1,10,5,8,8,10,2,8,1,18,1,15,2,18,8,14,4,18,2,14,1,15,1,8,1,10,1,8,1,18,1,15,1,18,1,9,1,10,1,18,1,14,2,18,1,9,1,10,2,9,1,8,1,15,4,14,6,15,1,8,3,15,1,14,3,15,3,14,2,3,1,14,2,15,2,14,2,3,4,14,1,15,1,8,2,15,1,14,1,3,4,14,1,8,4,10,4,8,1,15,7,8,2,10,4,8,3,10,6,8,4,10,14,8,3,10,7,8,1,18,2,8,2,10,7,8,6,10,5,8,15,9,1,8,1,9,1,10,3,8,1,18,1,8,1,9,1,10,1,9,1,8,2,15,1,14,1,16,14,17,1,16,8,17,1,14,3,17,4,16,5,14,2,15,1,8,5,10,6,8,4,18,1,15,1,14,2,15,2,14,2,3,1,14,8,3,1,14,35,17,1,16,1,14,22,7,1,14,44,15,1,14,13,15,5,14,24,15,4,14,12,15,11,18,22,8,3,10,3,8,1,18,1,14,2,18,1,8,2,18,3,8,51,10,3,8,13,18,3,8,2,10,5,8,25,10,7,8,16,10,6,8,3,10,6,8,27,10,3,8,30,10,3,8,5,10,3,8,2,10,33,8,8,10,126,4,3,19,2,4,13,19,5,4,33,19,2,4,9,18,1,10,56,4,67,10,6,9,1,18,1,4,1,19,5,4,20,19,5,4,1,18,2,8,13,10,5,8,9,10,40,8,10,10,8,8,15,10,3,4,7,18,1,10,2,8,1,18,3,8,5,10,1,8,4,10,94,8,2,10,63,4,2,19,4,4,674,},
{4,664,19,5,4,3,10,1,8,6,10,7,8,1,10,9,18,3,10,12,18,1,14,4,18,1,8,5,10,19,8,2,18,2,8,2,9,8,8,1,9,1,8,10,18,2,15,1,18,1,15,2,18,1,8,1,10,3,8,1,14,1,16,5,14,13,17,1,14,4,17,1,16,3,14,23,16,5,17,1,14,2,15,1,8,1,15,3,14,5,3,2,14,60,15,2,14,3,15,1,14,8,8,2,10,6,8,9,10,1,8,2,15,1,14,1,18,3,8,3,18,2,14,4,18,2,14,1,15,1,8,1,10,1,8,1,18,1,14,1,15,1,8,1,9,1,18,1,15,1,18,1,9,1,10,2,8,1,18,1,8,4,15,1,14,4,15,3,8,2,15,1,14,4,15,3,14,6,15,1,14,2,3,2,14,1,3,1,14,1,15,1,8,3,15,1,14,2,3,2,14,1,15,1,8,10,15,5,8,3,10,3,8,3,10,4,8,2,18,1,14,1,18,2,8,8,10,6,8,3,10,2,8,7,18,2,8,1,10,7,9,2,8,3,9,1,10,3,9,1,8,7,18,3,8,6,9,1,10,4,9,1,8,3,10,2,9,1,8,1,15,1,14,1,3,1,16,13,14,3,17,1,16,6,14,1,7,3,14,5,16,4,14,1,15,1,8,1,10,2,8,3,10,10,8,2,15,4,14,4,3,1,14,5,3,2,17,3,14,32,17,2,14,21,15,1,7,1,14,44,15,2,14,13,15,4,14,40,15,10,18,10,8,3,18,11,14,1,18,1,8,1,10,2,8,1,18,4,8,1,18,1,15,2,18,1,8,46,18,2,8,3,10,3,8,13,18,2,8,3,10,5,8,26,10,5,8,17,10,6,8,5,10,4,8,27,10,3,8,39,10,1,8,3,10,33,8,8,10,22,8,1,10,102,4,3,19,3,4,13,19,5,4,31,19,5,4,8,18,1,10,17,8,1,10,28,8,3,10,8,4,66,10,8,4,2,19,4,4,20,19,5,4,1,18,2,8,2,10,2,8,9,10,2,8,1,10,5,8,5,10,23,8,4,10,2,8,5,10,7,8,3,18,2,8,3,10,6,8,14,18,1,8,2,10,4,18,1,4,9,10,1,18,4,8,2,10,4,8,4,10,93,8,3,10,63,4,2,19,4,4,674,},
{4,664,19,5,4,3,10,1,8,6,10,17,18,3,10,11,8,1,18,1,14,1,3,1,14,2,18,1,8,2,18,2,8,2,10,20,8,1,18,2,9,1,10,1,8,3,9,5,10,1,9,1,8,7,18,2,15,1,14,5,18,1,8,1,10,3,8,1,3,1,16,5,14,16,17,1,16,4,17,1,14,24,16,5,14,2,15,2,14,8,3,1,14,7,3,1,14,12,15,1,14,40,15,2,14,2,15,2,14,7,15,1,8,1,10,7,8,12,18,1,15,1,18,1,8,6,18,2,14,3,18,2,14,2,8,1,10,1,8,1,18,1,14,2,8,1,9,1,8,2,9,1,10,3,18,1,15,2,8,1,9,1,8,1,15,1,14,3,15,4,8,1,15,1,14,6,15,2,14,3,15,1,14,2,15,1,14,2,3,1,14,2,3,1,14,1,15,1,8,1,9,1,8,2,15,1,14,1,3,3,14,1,15,1,8,10,15,2,14,1,15,2,8,13,18,1,15,1,14,2,18,8,8,3,10,4,8,2,10,3,8,1,18,3,8,7,9,1,8,1,9,2,10,5,9,2,10,4,18,9,15,1,18,1,8,4,18,2,8,1,10,3,9,1,8,3,10,4,8,2,14,1,3,1,16,7,14,2,17,3,14,1,7,3,14,1,17,1,16,4,17,1,14,1,7,2,6,1,17,1,16,3,14,1,16,4,14,1,15,1,10,3,8,4,10,10,8,2,18,1,15,2,14,4,3,1,14,5,3,1,17,1,16,2,17,1,14,55,15,1,7,1,14,7,7,1,14,35,15,5,14,11,15,4,14,40,15,5,18,15,8,3,18,8,15,2,14,2,18,1,8,1,10,2,8,2,18,2,8,3,18,1,15,1,18,1,8,44,18,6,8,1,10,3,8,13,18,2,8,2,10,4,8,28,10,5,8,17,10,6,8,36,10,3,8,18,10,2,8,24,10,11,8,2,10,19,8,7,10,21,8,1,10,104,4,2,19,4,4,12,19,6,4,31,19,5,4,8,18,1,8,1,10,9,8,3,10,3,8,3,10,27,8,4,10,6,9,1,18,1,4,65,10,8,4,26,19,5,4,1,18,2,8,2,10,6,8,5,10,2,9,2,8,1,10,3,8,5,10,2,8,3,10,17,8,13,10,5,8,3,18,3,8,3,10,5,8,8,18,3,8,3,18,3,10,5,4,10,18,5,8,2,10,2,8,7,10,93,8,1,10,64,4,1,19,5,4,674,},
{4,664,19,5,4,3,10,1,8,3,10,20,18,3,10,11,8,1,14,2,3,1,14,1,18,1,8,3,18,2,8,2,10,20,8,1,18,1,8,1,9,1,10,1,8,2,18,1,8,2,9,3,10,2,9,1,8,5,18,1,15,3,14,5,18,1,8,1,10,3,18,1,16,6,14,14,17,1,16,5,14,26,17,2,16,2,17,1,14,5,3,1,14,14,3,1,14,11,15,3,14,19,15,2,14,5,15,1,14,1,15,4,14,11,15,2,14,5,3,1,14,2,8,1,10,3,8,23,10,1,8,2,18,2,14,2,18,2,14,1,15,1,8,1,10,1,8,2,15,2,8,1,9,3,10,4,15,1,14,1,15,1,8,1,9,2,15,5,8,1,15,3,14,6,15,1,8,2,15,4,14,8,3,2,14,1,8,2,9,1,10,1,8,1,14,1,3,3,14,2,15,1,8,2,15,5,8,2,15,1,14,4,15,1,8,5,15,1,8,4,18,1,15,1,14,4,15,1,18,2,15,3,18,2,8,3,10,3,8,2,10,3,8,1,18,1,15,1,14,1,15,1,8,11,10,11,18,10,8,5,18,1,15,1,8,1,9,1,10,1,8,4,9,1,10,5,8,1,15,1,14,1,3,1,14,2,17,3,14,6,7,4,14,2,17,1,16,2,17,2,6,1,17,1,16,6,17,1,16,4,17,1,14,1,8,1,10,2,8,5,10,10,8,2,18,1,15,1,14,4,3,1,14,6,17,4,14,39,17,3,14,5,17,1,14,7,15,1,7,1,14,6,7,3,14,33,15,7,14,10,15,3,14,39,15,1,14,1,15,4,18,25,15,6,18,1,8,2,10,1,8,7,18,3,8,36,18,2,8,5,18,7,8,1,10,3,8,50,10,4,8,17,10,6,8,56,10,4,8,23,10,3,8,4,10,4,8,2,10,13,8,3,10,3,8,6,10,20,8,3,10,103,4,2,19,5,4,12,19,4,4,33,19,4,4,8,18,2,8,1,10,9,8,3,10,3,8,3,10,28,8,1,18,2,8,1,10,5,8,1,18,1,4,65,10,7,8,1,18,1,4,25,19,5,4,1,18,2,8,1,10,8,8,4,10,1,9,1,18,3,9,1,8,1,10,2,8,3,10,1,8,7,10,15,8,14,10,2,8,25,18,2,8,2,10,3,18,1,10,3,4,12,18,7,8,10,10,157,4,1,19,5,4,674,},
{4,663,19,5,4,4,10,1,8,1,10,1,8,1,10,1,8,2,10,23,8,1,10,7,8,1,14,1,3,2,14,1,18,1,8,7,10,20,8,3,10,2,8,1,18,1,15,2,8,2,9,1,10,4,9,1,8,4,15,4,14,5,18,1,8,1,10,3,18,1,16,5,3,1,14,14,17,1,16,5,14,28,17,1,16,1,14,5,16,3,14,25,15,3,14,2,3,2,14,15,15,2,14,6,15,6,14,10,15,1,14,6,3,2,14,1,8,1,10,3,8,1,18,4,8,2,10,4,8,11,10,4,8,1,18,5,14,1,18,1,8,1,10,2,8,1,18,2,8,1,9,3,10,3,9,1,15,1,14,1,15,1,8,1,9,2,8,1,15,3,8,2,15,1,14,3,3,2,14,3,15,1,8,3,15,4,14,7,3,2,14,1,15,1,8,1,9,2,8,1,14,2,3,2,14,2,15,1,8,2,15,1,14,3,15,4,14,5,15,4,14,3,15,4,14,4,18,3,15,2,18,2,8,3,10,5,8,2,10,3,8,1,18,1,14,2,15,1,18,1,8,5,18,2,8,2,9,1,10,11,9,1,18,8,8,6,15,2,18,1,8,2,18,1,15,2,8,1,9,1,10,5,9,1,15,1,14,9,7,3,14,1,7,3,14,4,6,1,17,1,16,16,17,1,15,1,8,1,10,1,8,2,15,3,8,1,10,10,8,2,15,1,14,13,17,2,14,39,17,4,14,3,17,3,14,50,15,8,14,51,15,7,18,24,15,2,18,2,8,5,10,2,8,7,18,5,8,33,18,1,8,6,18,6,8,2,10,2,8,25,10,1,8,26,10,3,8,17,10,6,8,56,10,4,8,23,10,2,8,5,10,4,8,2,10,12,8,12,10,21,8,3,10,102,18,1,4,2,19,5,4,11,19,3,4,35,19,4,4,8,18,2,8,1,10,9,8,4,10,2,8,4,10,27,8,1,18,3,10,5,8,1,18,1,4,65,10,6,8,1,18,3,10,2,4,21,19,6,4,1,18,2,8,2,10,8,8,3,10,1,9,1,18,4,9,1,8,1,10,2,8,10,10,15,8,14,10,2,8,9,10,1,8,12,10,2,8,5,10,2,4,19,10,3,18,3,8,9,10,156,4,2,19,5,4,674,},
{4,662,19,6,4,4,10,1,8,6,10,9,8,1,10,4,18,2,10,14,8,2,18,1,14,3,18,1,8,6,10,20,8,3,9,1,10,2,8,1,18,1,15,3,8,2,10,4,9,1,8,4,15,2,18,1,15,1,14,5,18,1,8,1,10,3,15,1,16,5,3,1,14,15,16,4,14,2,15,2,14,25,16,2,14,2,15,1,14,2,16,2,3,1,14,3,3,1,14,21,15,3,14,2,3,1,16,1,3,1,14,6,17,1,3,1,14,16,15,5,14,16,3,2,14,1,8,1,10,2,8,1,15,1,14,2,15,1,18,1,8,1,10,6,8,2,18,1,8,2,10,2,8,4,10,3,8,2,18,6,8,1,10,2,9,1,8,2,9,1,10,1,9,5,8,1,15,1,14,1,15,1,8,1,9,2,8,1,15,3,8,1,15,1,14,3,16,2,3,1,14,3,15,1,8,1,9,1,8,2,15,5,14,5,3,3,14,1,15,1,8,3,15,1,14,1,3,2,14,2,8,3,15,1,14,5,15,1,14,21,18,6,8,1,10,5,8,6,10,2,8,2,15,3,18,1,8,5,18,2,8,1,9,1,10,13,18,6,8,2,10,4,8,3,18,1,8,1,9,1,8,1,15,3,8,1,10,6,9,1,15,1,14,11,17,4,6,1,17,2,14,2,17,1,16,18,17,1,15,1,8,3,15,3,8,1,10,4,8,2,10,5,8,1,18,1,14,54,17,10,14,54,15,5,14,50,15,7,18,15,15,1,14,1,18,7,15,2,18,1,8,3,10,1,8,1,10,3,8,6,18,6,8,5,18,1,8,27,18,1,8,7,18,4,8,3,10,2,8,3,18,2,8,18,10,4,8,25,10,3,8,10,10,2,8,5,10,4,8,59,10,3,8,22,10,4,8,4,10,4,8,2,10,12,8,13,10,20,8,3,10,102,4,3,19,5,4,10,19,4,4,36,19,2,4,8,10,2,18,1,8,1,10,9,8,5,10,1,8,4,10,28,18,3,8,2,10,4,4,66,10,6,8,2,10,3,8,1,18,1,4,14,19,11,4,2,18,2,8,2,10,9,8,2,10,1,8,1,18,5,9,1,10,3,8,9,10,7,8,2,10,5,8,24,10,4,8,10,10,5,8,3,10,1,4,20,9,1,8,1,10,1,8,1,18,2,8,10,10,155,4,2,19,5,4,674,},
{4,662,19,5,4,5,10,1,8,6,10,15,18,1,10,14,8,2,18,1,14,3,18,1,8,1,10,21,9,1,10,2,8,1,18,2,8,1,9,1,10,1,9,1,8,2,15,4,18,1,8,1,10,3,9,1,8,4,18,2,8,1,18,8,8,1,10,2,15,1,16,6,14,15,17,1,16,1,14,3,15,2,14,6,15,3,14,16,17,1,16,2,14,1,15,3,14,1,17,1,16,1,14,4,3,2,14,25,3,3,14,6,16,1,3,1,14,18,15,4,14,15,3,2,14,1,15,1,8,3,15,1,14,2,15,1,18,1,8,1,10,5,8,3,18,1,8,9,10,2,8,2,18,4,8,4,10,2,8,2,10,2,8,2,18,5,15,2,8,1,9,2,8,1,15,5,14,1,3,1,16,3,3,1,14,4,15,1,8,1,10,1,9,1,15,2,8,2,15,1,14,1,3,2,14,3,3,2,14,1,15,1,8,2,15,2,14,4,15,1,9,1,10,1,8,1,15,1,14,28,15,1,18,2,8,2,10,6,8,21,9,1,10,7,4,6,10,2,18,4,9,1,10,6,8,4,10,2,9,1,18,1,15,1,8,2,10,2,8,5,15,1,14,3,17,1,16,1,17,1,14,3,17,1,16,30,14,1,8,3,15,3,8,1,10,4,8,3,10,4,8,1,18,1,14,1,3,2,14,20,17,3,14,11,17,2,14,15,17,5,14,1,17,3,14,4,15,2,14,15,7,2,14,34,15,2,14,50,15,7,18,6,15,1,18,9,15,1,14,1,15,1,18,2,8,1,18,2,15,3,18,1,8,3,10,5,8,1,18,3,15,4,8,8,18,3,8,35,18,2,8,4,10,2,8,3,18,2,8,4,18,6,8,7,10,6,8,1,18,1,8,34,10,3,8,5,10,1,8,1,10,1,8,3,10,2,8,9,10,2,8,19,18,2,8,24,10,1,8,22,10,5,8,3,10,5,8,2,10,12,8,13,10,20,8,3,10,102,4,2,19,6,4,10,19,4,4,46,10,13,8,4,10,2,8,6,10,26,8,7,10,2,4,66,10,10,8,2,9,1,10,2,18,1,4,10,19,8,4,6,18,2,8,2,10,7,8,1,10,1,8,2,10,3,18,5,9,1,10,2,8,2,18,1,8,7,10,3,8,6,10,3,8,11,10,2,8,12,10,3,8,5,10,15,4,20,9,1,8,1,10,2,18,2,10,2,8,9,10,154,4,2,19,5,4,674,},
{4,662,19,6,4,4,10,1,8,2,10,21,18,1,10,13,8,2,18,1,14,2,18,1,8,2,10,20,18,1,10,2,8,1,18,2,9,1,10,4,8,2,15,2,14,1,15,1,18,1,8,1,9,1,8,10,18,7,8,1,10,2,18,1,3,1,16,5,3,1,14,18,15,3,14,5,15,4,14,17,16,2,14,2,15,2,14,7,3,2,14,2,3,3,14,11,15,2,14,16,16,1,3,1,14,19,15,3,14,10,17,1,3,1,14,4,16,1,14,1,15,1,8,2,15,2,14,1,15,2,8,2,10,3,8,3,18,3,8,12,18,4,8,5,10,2,8,1,9,1,10,2,8,1,18,8,8,1,9,2,8,2,15,3,14,2,3,4,14,6,8,1,10,1,9,1,15,2,10,2,15,1,14,7,3,1,14,1,15,1,8,2,15,3,14,3,15,1,10,3,8,1,14,29,18,2,8,2,10,5,8,20,9,1,10,9,4,6,10,3,18,2,9,1,10,7,8,2,10,5,8,3,10,3,8,1,18,1,15,2,8,1,15,2,14,2,16,3,14,2,17,1,16,32,14,2,15,1,8,2,15,1,18,1,10,3,8,4,10,4,8,1,18,1,14,2,3,1,14,19,17,4,14,10,17,1,16,2,17,1,14,1,17,1,14,13,17,3,14,3,17,1,14,4,15,3,14,13,7,8,14,83,15,6,18,16,15,1,14,1,15,1,18,1,15,1,18,6,8,5,10,4,8,1,18,1,14,5,18,1,8,7,18,2,8,42,10,2,8,4,18,10,8,9,10,6,8,1,18,2,8,21,10,2,8,9,10,5,8,11,10,1,8,8,10,4,8,62,10,2,8,1,10,9,8,1,10,6,8,1,10,11,8,16,10,19,8,2,10,101,4,4,19,4,4,11,19,4,4,45,18,1,10,13,8,3,10,3,8,4,10,29,8,7,10,1,4,66,10,16,18,1,4,3,10,4,4,2,19,8,4,5,10,1,18,2,8,2,10,5,8,1,10,8,4,1,18,4,9,1,10,2,8,1,18,3,8,15,10,3,8,11,10,2,8,19,10,14,18,1,4,21,9,1,8,1,10,3,8,1,10,2,8,17,10,146,4,1,19,6,4,674,},
{4,662,19,7,4,2,10,24,18,3,10,5,18,1,10,7,8,2,18,1,14,2,18,1,8,1,10,20,18,1,10,2,8,1,18,1,8,1,10,6,8,1,15,1,14,3,15,2,8,5,10,2,8,4,15,1,18,2,8,5,10,2,8,1,14,1,16,5,3,1,14,6,3,2,14,18,15,3,14,18,3,1,16,1,3,1,14,1,15,4,14,9,3,4,14,8,15,2,8,1,15,1,14,16,16,1,14,33,3,1,14,5,3,1,14,2,8,3,15,3,8,6,18,1,15,4,8,12,18,4,8,4,18,2,8,1,9,1,8,2,10,1,9,1,18,5,8,1,18,2,8,1,9,2,10,1,9,1,8,1,15,3,14,9,3,2,14,1,15,1,8,2,15,1,8,1,10,2,15,1,14,3,15,1,14,2,3,3,15,1,9,2,8,2,15,1,14,1,3,1,14,1,15,1,9,1,10,2,15,1,14,1,17,1,3,1,14,8,3,1,14,10,15,2,14,5,18,2,8,2,10,4,8,2,18,2,8,11,18,1,8,2,10,13,4,8,10,1,9,2,10,15,8,2,10,4,8,1,15,3,8,2,15,1,14,2,16,3,14,1,17,1,16,33,3,1,14,1,15,1,8,2,15,2,8,1,10,1,8,4,10,5,8,2,18,1,14,22,17,2,14,11,17,1,16,2,17,4,14,13,17,1,14,8,15,4,14,13,7,1,14,1,7,6,14,83,15,6,18,18,15,5,18,2,8,2,18,2,15,1,14,1,18,1,8,1,10,3,8,1,18,1,14,3,15,2,8,51,10,2,8,5,18,10,8,9,10,5,8,2,18,2,8,32,10,5,8,20,10,3,8,62,10,13,8,1,10,18,8,16,10,19,8,2,10,2,8,2,10,97,4,16,18,1,4,1,19,5,4,21,19,3,4,3,19,5,4,7,10,3,9,4,10,13,8,3,10,4,8,3,10,32,8,4,10,2,4,66,10,2,8,2,10,13,18,3,8,1,10,2,4,4,19,2,4,1,19,2,4,5,10,2,8,3,10,5,8,3,10,4,4,9,8,1,10,1,8,1,18,3,8,15,10,3,8,10,10,4,8,6,10,2,8,9,10,3,8,3,10,2,8,1,10,6,4,3,19,2,4,12,19,4,4,1,9,1,8,2,10,4,8,19,10,57,8,2,10,85,4,2,19,6,4,674,},
{4,662,19,7,4,1,18,1,10,24,18,4,10,14,8,1,18,1,14,1,18,1,8,1,10,24,8,1,10,7,8,1,15,1,14,5,15,3,8,2,10,3,8,2,18,1,14,2,18,1,8,4,10,4,8,1,14,4,3,1,14,27,15,1,14,12,17,2,14,7,17,1,14,2,15,4,14,10,3,4,14,5,15,6,14,2,16,1,3,1,14,12,3,1,14,39,3,1,14,2,15,6,8,4,15,2,14,5,18,1,8,3,10,5,8,2,18,1,15,1,14,2,18,1,8,4,18,2,8,2,18,1,8,1,9,2,8,1,18,3,9,2,8,1,18,1,8,1,9,1,10,2,9,1,8,2,15,3,14,2,15,2,14,4,3,2,14,2,15,1,8,1,15,1,8,1,10,2,15,1,14,1,15,1,8,1,15,1,14,2,3,1,16,1,3,1,15,1,10,4,8,1,14,1,3,2,14,1,8,1,10,1,8,1,15,1,14,1,17,1,14,9,17,1,3,1,14,9,15,2,14,3,18,4,8,6,18,4,8,2,10,2,8,7,18,1,8,2,10,13,4,8,10,1,9,2,10,21,8,1,15,3,8,3,14,2,17,2,14,2,17,1,16,35,14,1,8,2,15,2,8,6,10,6,8,2,18,1,14,33,17,2,16,2,17,5,14,21,15,4,14,13,7,1,14,1,7,5,14,53,15,4,14,27,15,7,18,18,14,3,15,2,18,1,8,2,18,1,15,1,14,3,18,1,8,1,10,2,8,1,18,2,15,1,18,2,8,52,10,2,8,7,18,8,8,2,10,3,8,5,10,4,8,2,18,3,8,31,10,5,8,85,10,13,8,1,10,16,8,18,10,20,8,1,10,1,8,4,10,48,8,6,10,41,4,16,18,2,4,2,19,3,4,21,19,12,4,6,10,1,8,2,10,18,8,1,10,6,8,2,10,39,18,1,4,65,10,2,8,2,10,7,8,1,10,5,8,2,18,1,8,2,10,1,4,14,10,3,8,1,10,5,8,4,10,3,4,10,9,1,10,1,8,1,18,3,8,16,10,1,8,9,10,5,8,6,10,3,8,8,10,4,8,3,10,1,8,3,10,5,4,1,19,5,4,11,19,4,4,1,10,1,8,3,10,2,8,1,18,1,8,3,10,9,8,5,10,58,8,2,10,85,4,3,19,4,4,675,},
{4,662,19,7,4,1,18,1,10,25,18,1,10,16,8,1,18,2,14,1,18,1,10,32,8,1,15,2,14,7,15,1,8,1,10,2,9,1,8,2,18,1,14,2,18,2,8,3,10,5,8,1,15,2,14,42,17,2,14,11,15,3,14,2,3,1,14,8,3,4,14,3,15,3,8,1,15,2,14,2,3,1,16,2,3,1,14,2,15,2,14,50,15,7,8,2,15,1,14,7,18,1,8,2,10,6,8,2,18,1,14,3,18,1,8,3,18,7,10,2,8,1,18,3,10,2,8,1,18,1,8,1,9,1,10,2,9,1,8,4,15,6,14,3,3,2,14,3,15,2,8,1,10,1,9,1,15,2,8,1,9,1,8,1,14,1,3,1,16,2,3,1,15,1,10,4,8,1,14,1,3,1,16,1,14,1,15,1,8,2,15,1,14,11,17,1,14,13,15,1,18,2,8,9,18,3,8,2,10,3,8,7,18,1,8,2,10,7,9,2,10,4,4,8,18,2,9,1,10,14,8,1,9,1,10,4,8,1,15,4,8,3,15,1,14,5,17,1,16,35,14,1,15,1,8,1,15,1,18,1,8,5,10,8,8,1,18,1,14,33,17,2,16,1,17,1,14,2,17,1,16,1,17,2,14,3,17,1,14,16,15,3,14,14,7,1,14,59,15,1,14,31,15,5,18,18,15,1,14,4,15,1,18,3,15,1,14,5,8,4,18,3,8,54,10,2,8,8,18,5,8,3,10,4,8,7,10,2,8,2,18,4,8,13,18,2,8,16,10,5,8,26,10,1,8,57,10,13,8,3,10,14,8,7,10,2,8,8,10,23,8,4,10,47,8,8,10,40,4,16,8,1,10,2,4,25,19,14,4,4,10,1,8,2,10,66,18,1,4,65,10,1,8,3,10,4,8,5,10,5,8,6,18,5,4,8,10,9,8,4,10,3,4,1,19,5,4,4,10,2,8,1,18,3,8,24,10,6,8,8,10,2,8,7,10,5,8,2,10,2,8,3,10,4,4,2,19,5,4,12,19,3,4,1,8,4,10,2,18,3,8,1,10,11,8,1,10,61,8,3,10,84,4,682,},
{4,662,19,7,4,1,18,1,10,19,18,2,10,4,18,1,10,18,18,3,8,1,10,5,8,1,10,25,8,1,15,2,14,8,18,1,8,5,18,1,14,2,18,1,8,3,10,8,8,1,15,3,14,38,17,1,16,1,17,1,14,12,15,3,14,12,3,2,14,2,15,5,14,3,3,1,16,3,3,1,14,2,15,3,14,5,3,1,14,5,3,1,14,30,3,1,16,1,3,1,14,11,15,2,14,5,15,1,14,2,15,1,8,2,10,6,8,2,18,2,14,2,18,1,8,3,18,3,8,1,18,3,9,1,10,1,8,1,18,3,10,2,9,1,8,2,9,1,10,2,9,1,8,6,15,4,14,9,15,1,8,1,10,1,8,1,15,1,8,1,10,2,8,1,14,1,3,1,16,2,3,1,14,1,8,1,10,3,8,1,14,1,3,1,16,2,14,1,15,2,14,5,15,3,14,18,15,1,18,2,8,6,10,2,8,2,18,2,8,3,10,2,8,10,10,7,9,1,18,1,9,1,10,3,4,8,18,3,9,1,10,11,8,4,10,2,8,1,15,1,14,5,15,1,8,3,14,1,17,1,14,4,16,4,17,1,16,31,14,1,8,5,18,2,8,2,10,8,8,1,15,1,14,32,17,3,14,3,17,1,16,3,17,3,16,1,17,1,14,17,15,1,14,15,7,5,14,37,15,3,14,48,15,3,18,18,15,1,14,4,15,5,14,5,18,1,8,4,18,3,8,10,18,1,15,1,8,41,10,1,8,10,18,4,8,3,10,4,8,12,18,3,8,13,18,2,8,16,10,4,8,26,10,4,8,10,10,1,8,44,10,13,8,5,10,11,8,6,10,6,8,8,10,1,8,2,10,69,8,3,18,2,8,3,10,40,18,1,4,14,18,1,8,1,10,2,4,25,19,14,4,4,10,1,8,2,10,16,8,1,10,42,8,3,10,4,4,67,10,1,8,2,10,3,8,4,10,7,8,11,18,5,4,2,18,1,8,4,10,5,8,4,10,2,4,2,19,5,4,4,10,2,8,1,18,2,8,25,10,6,8,16,10,4,8,1,10,4,8,2,18,1,8,1,10,4,4,2,19,5,4,12,19,3,4,2,9,1,10,1,8,1,10,1,8,1,18,2,8,1,10,13,8,5,10,143,4,682,},
{4,662,19,7,4,2,10,8,18,3,10,8,18,4,10,21,8,1,18,1,14,1,18,1,8,1,10,3,8,2,10,13,18,1,8,1,10,4,8,2,10,4,8,1,15,2,14,9,18,1,8,1,18,3,15,2,18,2,8,3,10,8,8,1,15,1,8,2,15,1,14,5,15,2,14,14,15,1,14,15,16,3,14,11,15,2,8,1,15,1,14,8,15,1,14,7,15,3,14,2,3,2,16,5,3,1,14,2,15,3,14,2,15,1,14,2,3,1,14,4,16,2,14,26,15,2,14,2,16,3,14,16,15,1,18,1,8,1,15,1,14,2,18,1,8,1,10,5,8,4,18,4,8,1,10,1,8,1,18,3,8,2,18,2,9,1,10,1,8,1,18,3,10,3,8,1,9,2,10,2,9,1,8,3,9,1,8,1,15,1,14,3,15,1,14,4,15,2,14,3,8,1,10,1,9,1,8,3,10,2,8,1,14,1,3,1,16,2,3,2,14,1,8,1,10,2,8,1,15,1,3,1,16,2,14,1,15,2,14,5,15,1,8,1,15,1,14,2,16,1,14,13,15,4,18,4,8,2,10,4,8,2,18,3,8,2,10,2,8,2,10,4,8,2,9,1,10,1,8,2,9,1,10,3,18,3,9,1,18,2,4,8,10,1,18,2,9,2,10,10,8,6,15,1,14,2,3,1,14,1,3,1,14,2,15,1,9,1,8,1,14,1,16,2,14,3,16,4,17,1,16,31,14,1,8,1,10,2,8,2,18,2,8,2,10,8,8,1,14,33,17,3,14,4,16,8,14,33,7,4,14,13,15,1,14,25,15,2,14,50,15,1,18,15,15,5,14,11,15,2,8,2,10,1,8,2,18,1,15,4,18,1,8,6,18,2,15,1,8,41,10,1,8,2,18,2,8,6,18,4,8,13,10,5,8,1,18,3,8,13,18,3,8,15,10,4,8,20,10,3,8,3,10,5,8,6,10,5,8,14,10,6,8,23,10,13,8,5,10,11,8,5,10,5,8,13,10,53,8,5,10,11,8,3,18,2,8,3,10,29,8,6,10,6,4,13,18,1,8,2,10,2,4,25,19,14,4,4,9,1,8,2,10,14,8,4,10,41,8,3,10,4,18,1,4,6,19,1,4,59,10,1,8,2,10,15,8,2,10,1,8,5,10,3,18,9,8,4,10,3,8,4,10,2,4,2,19,5,4,5,10,1,18,2,8,8,10,6,8,6,10,1,8,5,10,2,8,1,10,2,8,14,10,5,8,4,10,3,8,3,10,5,4,2,19,5,4,12,19,3,4,5,10,1,8,1,18,2,10,2,8,2,10,9,8,6,10,143,4,3,19,4,4,675,},
{4,662,19,6,4,2,10,1,8,1,10,1,8,1,10,5,18,4,10,8,18,1,9,1,18,2,10,21,8,1,18,3,8,1,10,17,8,2,10,4,18,2,9,1,10,3,8,2,15,5,14,5,15,6,18,2,8,3,10,9,8,4,14,5,15,1,8,2,14,7,15,1,14,10,17,1,14,11,17,2,14,6,3,1,14,2,15,2,14,3,15,2,14,2,15,2,14,3,15,5,14,4,15,2,14,2,3,1,16,6,3,2,14,3,15,2,14,10,16,1,17,1,14,27,15,1,14,2,16,3,14,16,15,1,8,3,18,1,15,1,8,2,10,4,8,12,18,1,8,2,9,1,8,1,18,2,8,1,10,1,8,2,18,1,8,1,9,1,10,6,9,1,8,1,15,1,8,5,14,7,8,3,14,3,15,1,8,8,15,1,14,1,16,4,3,1,15,1,9,1,10,1,8,1,15,1,14,1,16,2,14,7,15,3,14,2,16,2,14,14,15,2,14,3,18,3,8,1,10,5,8,2,18,2,8,6,10,5,8,1,10,1,8,1,18,3,8,1,9,1,8,1,18,7,4,7,10,1,9,5,10,8,8,2,15,1,18,1,8,3,14,2,3,2,14,4,15,1,8,1,15,1,14,1,16,2,17,1,14,2,16,36,14,1,15,1,10,3,8,1,18,3,8,2,10,7,8,1,18,1,14,39,17,1,16,7,17,1,14,26,15,4,14,2,15,4,14,88,15,5,18,14,15,1,14,3,15,1,14,1,15,2,14,5,15,4,18,1,8,1,10,2,8,2,18,1,15,1,14,3,18,1,8,5,18,2,15,2,8,25,18,1,8,18,18,2,8,6,18,3,8,12,10,7,8,2,18,2,8,13,18,2,8,40,10,4,8,1,10,11,8,3,10,3,8,13,10,7,8,23,10,6,8,1,10,7,8,3,10,12,8,5,10,4,8,14,10,50,8,7,10,12,8,7,10,29,8,8,10,4,4,14,18,1,8,1,4,4,19,2,4,22,19,14,4,4,10,1,8,7,10,9,8,4,10,41,8,3,10,4,18,1,4,2,19,5,4,59,10,1,8,3,10,2,8,1,10,15,8,3,10,4,8,2,18,2,8,2,18,3,8,4,10,3,8,5,10,2,4,1,19,4,4,5,10,2,8,9,10,7,8,11,10,3,8,1,10,2,8,3,10,2,8,9,10,5,8,2,18,1,8,5,18,1,8,2,10,4,4,2,19,5,4,12,19,7,4,1,18,2,8,2,10,2,8,2,10,11,8,4,10,63,8,2,10,78,4,2,19,6,4,674,},
{4,664,19,4,4,1,18,1,8,2,18,2,10,15,18,3,9,1,18,4,10,1,18,2,10,17,18,4,10,23,8,3,10,4,8,1,15,2,8,2,15,1,14,4,15,3,14,3,15,1,18,2,8,1,10,9,8,2,10,1,8,2,15,1,14,1,3,2,14,1,15,1,9,1,10,2,15,1,14,5,15,3,14,28,3,1,16,1,3,1,14,1,15,2,14,8,15,1,14,2,15,10,14,4,16,5,14,23,16,2,3,3,14,16,17,1,14,7,16,2,14,17,15,1,8,2,10,1,8,2,10,5,8,9,10,1,8,1,18,2,9,1,10,2,8,1,18,2,8,4,10,2,8,2,10,5,8,1,14,2,15,3,18,3,15,1,14,4,15,1,9,1,10,1,8,1,14,4,15,1,14,2,15,1,8,4,15,1,14,2,16,4,14,1,8,1,10,1,8,1,15,1,14,1,16,2,17,1,14,5,15,2,14,3,16,2,17,1,14,7,3,1,14,6,15,5,14,2,15,1,18,1,8,1,10,5,8,9,10,7,8,1,18,1,14,2,18,3,14,2,18,1,8,2,18,2,4,7,10,3,9,2,10,5,8,2,10,2,9,1,15,3,9,3,15,1,14,4,15,3,14,1,15,1,14,2,16,3,17,1,16,37,17,1,14,1,8,4,18,1,15,1,8,4,10,7,8,2,14,38,17,2,16,6,17,1,14,7,17,2,14,16,15,1,8,4,14,2,15,2,8,1,15,2,14,86,15,13,8,4,15,5,14,3,15,4,14,8,8,5,15,1,18,6,8,3,18,7,8,15,18,11,8,18,18,9,8,3,10,1,8,2,18,1,8,7,10,6,8,2,18,1,8,44,10,2,8,3,10,5,8,1,10,5,8,1,10,11,8,4,10,1,8,4,10,3,8,6,10,2,8,2,10,4,8,23,10,5,8,2,10,8,8,2,10,4,8,4,10,3,8,6,10,4,8,15,10,18,8,2,10,14,8,2,10,2,8,1,10,10,8,5,10,15,8,5,10,30,8,4,10,2,8,1,10,3,4,15,18,1,8,1,10,1,4,1,19,4,4,24,19,7,4,8,10,19,8,7,10,46,4,3,19,5,4,58,8,8,10,22,8,6,18,2,8,1,10,5,8,6,10,2,4,9,18,1,10,2,8,9,10,6,8,12,10,11,8,9,10,4,8,2,18,10,8,2,10,3,4,1,19,5,4,14,19,4,4,2,18,2,8,1,10,18,8,3,10,62,8,2,10,14,8,2,10,43,8,1,10,18,4,3,19,5,4,674,},
{4,664,19,2,4,3,10,1,8,3,18,1,10,15,18,1,10,1,18,1,10,1,18,1,10,1,18,1,10,2,18,1,10,15,18,1,10,2,8,1,18,2,8,1,10,16,8,1,10,3,8,11,15,1,8,3,18,1,14,3,15,4,14,2,15,2,18,1,8,1,9,1,10,8,8,1,18,2,10,1,9,1,18,1,14,1,3,3,14,1,18,1,10,3,8,1,14,5,15,2,14,7,3,1,16,2,14,20,3,1,14,1,15,2,14,1,3,1,16,1,3,1,14,7,15,10,14,4,16,5,17,1,14,23,16,2,3,2,16,1,3,1,14,1,15,2,14,11,16,3,17,1,14,6,17,1,14,18,8,1,10,9,8,1,18,3,8,2,10,4,8,1,15,1,18,1,10,2,8,1,18,2,8,2,10,6,8,2,10,4,8,1,14,3,15,2,18,1,8,2,18,1,14,3,15,1,8,1,10,2,8,1,14,9,8,4,14,2,16,4,14,1,8,1,9,1,8,1,15,1,14,2,16,1,17,2,14,3,15,2,14,2,16,4,17,1,3,1,14,14,15,4,14,3,15,1,18,1,8,2,10,8,8,3,10,8,8,1,18,1,14,3,18,2,14,2,18,1,8,3,18,3,10,1,4,2,10,5,8,3,10,4,18,1,8,1,10,3,8,1,15,2,8,1,9,1,10,1,9,1,8,1,15,5,14,4,17,1,16,22,17,2,16,18,17,1,14,1,8,3,15,1,8,5,10,8,8,2,14,2,15,2,14,24,17,2,14,8,17,8,14,7,17,2,14,16,15,1,8,4,15,2,18,1,8,3,18,1,15,1,14,4,15,3,14,77,15,15,8,3,15,11,14,9,8,1,10,1,8,2,18,1,14,1,18,5,8,4,15,4,18,4,8,14,18,9,8,2,18,4,8,11,18,1,8,2,18,9,8,3,10,1,8,11,10,4,8,47,10,17,8,1,10,11,8,9,10,3,8,6,10,1,8,3,10,4,8,6,10,3,8,16,10,2,8,3,10,8,8,2,10,3,8,7,10,1,8,6,10,4,8,5,10,5,8,6,10,17,8,3,10,12,8,7,10,9,8,5,10,15,8,3,10,32,8,3,10,7,4,15,18,1,8,1,4,2,19,4,4,24,19,6,4,5,18,2,10,7,18,2,10,10,8,1,10,15,8,4,10,35,18,1,4,2,19,5,4,57,18,1,8,9,10,1,8,1,10,23,8,5,10,5,8,7,10,6,8,5,10,2,8,9,10,5,8,11,10,12,8,7,18,1,8,1,10,5,8,1,18,6,8,3,18,4,8,1,10,1,4,2,19,5,4,14,19,4,4,2,18,2,10,84,8,2,10,14,8,2,10,43,8,2,10,17,4,3,19,5,4,674,},
{4,669,10,1,8,3,10,16,18,4,10,3,18,3,10,19,8,2,10,16,8,3,10,1,8,7,18,1,15,5,8,3,18,1,14,4,15,3,14,1,15,2,18,2,8,1,10,8,8,1,18,3,8,2,18,1,14,1,3,3,14,1,8,1,10,3,8,1,14,14,16,6,17,1,14,6,17,1,16,1,3,1,14,8,18,1,8,1,15,1,14,1,3,1,16,2,14,6,15,2,14,2,15,5,14,6,3,1,16,2,14,2,17,2,14,19,15,2,14,2,3,3,16,1,14,2,15,4,14,9,17,1,16,2,17,2,14,24,8,1,10,8,8,2,18,3,8,2,10,3,8,2,18,1,8,3,18,1,15,1,18,1,8,1,10,7,8,4,10,1,8,2,14,2,15,1,18,3,8,1,18,2,14,4,8,4,14,9,15,1,8,1,10,1,8,1,14,1,17,1,16,4,14,1,15,1,8,2,15,1,14,9,15,1,14,2,16,4,17,1,3,1,14,15,15,1,14,6,15,2,8,3,10,6,8,2,10,10,8,1,18,1,15,1,18,3,15,1,18,1,8,4,18,2,8,2,9,1,10,4,9,1,8,4,9,1,10,2,8,1,18,1,8,1,10,3,9,1,15,3,9,1,10,3,8,2,15,1,14,3,17,1,16,24,17,1,6,1,17,1,16,19,14,1,15,3,8,3,10,1,8,3,10,8,8,4,18,1,15,1,14,23,17,15,14,10,17,2,14,10,17,1,14,5,15,1,8,4,15,2,8,5,18,1,15,1,14,3,15,3,14,78,15,27,14,9,15,1,8,1,10,1,8,2,18,1,15,2,18,3,15,1,18,1,8,3,18,1,15,2,18,4,8,26,18,5,8,14,18,8,8,15,10,3,8,48,10,29,8,5,10,1,8,3,10,3,8,5,10,3,8,2,10,4,8,6,10,3,8,21,10,8,8,2,10,3,8,5,10,3,8,5,10,5,8,1,10,9,8,6,10,32,8,8,10,8,8,4,10,16,8,3,10,33,8,1,10,4,8,1,10,3,4,14,18,3,4,2,19,4,4,24,19,6,4,2,10,11,18,3,10,10,8,1,10,53,8,2,4,2,19,6,4,47,19,4,4,4,18,1,10,1,8,12,10,21,8,6,10,6,8,6,10,5,8,6,10,2,8,9,10,4,8,7,10,1,8,4,10,7,8,4,10,1,8,3,18,2,10,10,18,4,8,2,10,2,8,3,18,3,4,3,19,5,4,14,19,4,4,3,18,1,10,84,8,1,10,60,8,2,10,17,18,1,4,2,19,5,4,674,},
{4,669,10,1,8,3,10,16,18,2,10,34,8,4,10,4,8,2,18,1,8,7,18,3,15,3,14,2,15,2,8,4,15,1,14,2,15,8,18,1,8,1,10,7,8,1,18,4,8,2,18,1,14,1,3,3,14,1,8,1,10,3,15,1,14,6,3,2,14,5,16,7,17,1,14,6,16,4,3,1,14,4,15,1,8,3,15,1,3,1,16,2,3,1,14,6,15,8,14,13,16,1,17,1,14,6,16,1,17,1,14,9,15,4,14,3,3,2,14,2,15,4,14,9,17,1,16,4,17,1,14,23,8,1,10,8,8,1,18,4,8,11,18,1,15,1,8,2,10,7,8,2,15,1,8,4,15,2,8,3,18,1,8,1,18,2,14,3,15,1,8,3,15,2,14,9,8,1,10,1,8,1,14,1,16,4,14,2,15,1,8,2,15,1,14,4,17,2,14,3,15,1,14,2,16,4,17,1,14,24,15,2,8,3,10,17,8,1,18,3,8,1,18,3,8,4,18,6,8,9,9,1,8,4,10,3,9,1,8,3,10,4,8,1,14,3,3,2,17,1,16,5,17,1,16,16,17,1,6,1,7,2,17,1,16,19,17,1,14,2,15,2,8,1,10,2,8,1,18,1,8,2,10,9,8,1,10,1,8,2,14,15,17,4,14,3,17,13,14,1,17,1,14,23,3,1,14,3,15,5,8,10,15,7,14,78,15,26,14,10,15,1,8,1,10,2,8,2,15,3,18,1,15,2,18,1,8,3,18,1,15,2,18,4,8,26,18,5,8,14,18,8,8,20,18,1,8,46,10,20,8,2,10,5,8,5,10,3,8,8,10,4,8,4,10,2,8,7,10,3,8,4,10,1,8,16,10,2,8,1,10,5,8,2,10,2,8,6,10,3,8,4,10,6,8,1,10,9,8,6,10,31,8,10,10,3,8,3,10,2,8,2,10,57,8,2,10,3,4,14,18,3,4,1,19,5,4,24,19,5,4,2,10,11,18,2,10,1,18,1,10,10,8,1,10,53,8,1,18,2,4,1,19,7,4,45,19,5,4,4,10,2,8,12,10,7,8,3,10,10,8,7,10,6,8,6,10,5,8,6,10,1,8,8,10,4,8,7,10,11,8,9,18,3,4,14,18,1,10,6,8,1,18,2,4,3,19,6,4,15,19,4,4,3,10,82,8,3,10,60,8,1,10,18,8,1,4,2,19,5,4,674,},
{4,669,10,1,8,1,10,1,8,2,10,15,18,1,10,35,8,1,18,2,8,2,10,3,8,1,18,1,15,2,8,4,15,8,14,2,15,3,8,10,15,4,18,1,8,1,9,1,10,6,8,1,18,4,8,2,14,1,3,4,15,1,8,1,10,2,9,1,15,1,14,5,3,3,14,3,3,1,16,6,14,9,16,4,14,5,15,1,8,1,10,1,8,1,15,1,3,1,16,1,3,1,14,8,15,7,14,13,16,1,17,1,14,5,17,1,16,1,17,1,14,2,15,3,14,5,15,3,14,6,15,2,8,1,15,2,14,9,17,1,16,5,17,1,14,22,8,1,10,7,8,3,18,2,8,11,18,2,8,2,10,9,8,1,15,1,8,11,18,2,15,1,14,1,15,2,8,3,15,2,14,9,8,1,10,1,8,1,14,1,16,3,17,1,14,3,15,3,14,2,17,1,16,3,17,1,14,2,15,1,14,2,16,4,14,5,15,1,14,19,15,3,8,4,10,15,8,6,18,1,8,4,18,5,14,1,15,1,8,11,18,1,8,1,10,2,9,1,8,3,10,4,9,1,15,1,14,1,3,1,16,1,3,2,14,7,17,2,16,11,17,1,6,1,14,1,7,4,6,1,16,21,14,3,15,1,8,1,9,1,8,2,15,2,8,1,10,11,8,2,14,14,17,24,14,8,17,2,14,16,15,5,8,11,15,6,14,79,15,25,14,8,15,2,8,2,10,1,8,3,15,3,18,1,15,2,18,1,8,3,18,6,8,27,18,5,8,14,18,9,8,18,18,2,8,47,10,19,8,4,10,2,8,6,10,4,8,6,10,5,8,13,10,2,8,22,10,2,8,2,10,4,8,10,10,4,8,3,10,6,8,1,10,9,8,7,10,30,8,10,10,1,8,5,10,2,8,2,10,52,8,1,10,3,8,3,10,3,4,14,18,2,4,2,19,5,4,23,19,6,4,2,10,12,18,2,10,11,8,1,10,53,8,1,18,2,4,2,19,6,4,45,19,5,4,3,18,1,10,1,8,13,10,7,8,3,10,3,8,1,10,6,8,5,10,8,8,7,10,4,8,6,10,1,8,8,10,4,8,7,10,7,8,12,18,3,4,3,19,4,4,9,10,6,18,3,4,3,19,6,4,15,19,4,4,3,10,80,8,4,10,80,8,1,18,1,4,1,19,6,4,673,},
{4,669,10,3,8,2,10,5,18,2,10,7,18,2,10,25,8,1,10,8,8,3,18,2,8,1,10,3,8,1,18,1,15,2,8,3,15,2,14,2,15,11,8,10,15,2,14,1,15,1,18,1,8,1,10,6,8,1,18,4,9,1,8,1,14,1,3,3,14,2,18,1,8,3,14,6,3,6,16,6,14,10,3,1,16,2,3,1,14,6,8,3,14,1,3,2,14,3,15,2,14,4,15,1,8,3,15,2,14,14,17,1,14,6,16,1,17,1,14,2,15,1,8,2,15,1,14,6,15,2,14,5,15,6,14,3,17,1,14,6,16,6,17,1,14,21,8,1,10,3,8,14,18,3,8,2,18,3,8,1,10,3,8,3,10,3,8,1,15,2,8,6,10,2,9,1,8,2,18,3,15,2,8,2,15,5,14,8,8,1,10,1,8,1,14,1,16,2,17,1,14,4,15,2,14,2,17,1,16,5,14,2,15,2,14,2,16,2,17,1,14,2,15,4,14,4,3,2,14,13,15,2,8,7,10,13,8,2,10,3,8,6,18,5,15,2,8,6,18,1,8,3,18,2,8,1,10,1,8,2,15,1,8,1,10,4,8,1,14,1,3,1,16,3,3,1,14,3,15,1,14,4,17,2,16,10,17,2,6,1,14,1,7,1,14,3,17,1,16,20,17,1,14,3,15,1,8,3,15,1,14,2,18,1,8,1,10,11,8,1,14,13,17,2,16,3,17,21,14,24,15,5,8,13,15,4,14,5,15,1,14,77,15,21,14,4,15,3,14,1,15,2,8,6,18,1,15,6,18,1,8,3,18,6,8,8,18,4,8,15,18,5,8,9,18,2,8,2,18,10,8,18,18,2,8,47,10,18,8,13,10,4,8,6,10,3,8,34,10,3,8,2,10,2,8,2,10,4,8,17,10,6,8,1,10,9,8,3,10,1,8,4,10,28,8,18,10,1,8,3,10,54,8,4,10,3,4,14,18,2,4,2,19,4,4,24,19,6,4,2,10,8,8,2,10,7,8,1,10,7,8,1,10,1,8,2,10,50,8,1,18,2,4,2,19,6,4,45,19,5,4,3,18,2,8,13,10,7,8,3,10,2,8,4,10,4,8,4,10,7,8,9,10,4,8,15,10,4,8,6,10,8,8,4,18,1,8,1,18,3,8,1,18,2,4,5,19,6,4,9,18,2,10,3,18,2,4,4,19,5,4,17,19,4,4,2,10,30,8,1,10,49,8,4,10,80,8,1,10,1,4,2,19,6,4,672,},
{4,669,18,1,10,2,8,2,10,4,18,4,10,6,18,2,10,24,8,3,10,7,8,3,18,2,8,2,10,2,8,2,18,2,8,2,18,1,15,1,14,3,15,2,18,1,8,1,18,1,8,2,18,1,14,2,15,1,8,2,10,3,8,5,15,1,14,3,18,1,8,1,9,3,10,2,9,1,8,1,18,3,8,1,10,1,8,1,14,1,3,4,14,1,18,1,8,2,15,1,14,7,3,4,16,5,14,13,3,1,14,8,15,1,8,1,18,1,14,4,15,4,14,4,15,1,8,3,15,2,14,20,17,1,14,4,15,1,8,2,15,1,14,13,15,5,14,4,17,1,14,6,17,1,16,5,17,1,14,21,8,1,10,3,8,1,18,3,8,4,10,1,8,3,18,4,8,2,18,4,8,1,10,3,8,4,10,2,8,1,18,1,15,1,8,3,10,6,8,2,18,3,8,4,15,1,14,1,15,3,14,3,15,1,14,3,15,1,8,1,10,1,8,1,14,1,16,1,17,1,14,8,16,7,14,1,15,1,8,2,15,1,14,5,15,3,14,1,15,1,14,4,3,2,14,13,15,1,8,4,18,1,15,1,18,1,8,3,10,15,8,4,10,1,8,2,18,3,8,2,18,2,8,10,18,2,8,1,10,1,8,3,9,1,10,3,9,1,14,1,3,1,16,3,14,2,15,2,8,2,15,1,14,2,17,2,16,18,17,3,16,19,17,1,14,3,15,1,8,3,15,1,14,3,8,1,10,11,8,1,14,5,3,2,14,6,17,1,16,4,17,22,14,22,15,5,8,14,15,3,14,6,15,1,14,77,15,2,8,1,15,18,14,3,15,6,8,2,10,1,8,4,18,1,14,1,15,5,18,1,8,3,18,6,8,8,18,8,8,9,18,9,8,7,18,2,8,2,18,4,8,4,18,2,8,68,10,16,8,14,10,4,8,5,10,3,8,33,10,9,8,2,10,4,8,18,10,4,8,2,10,9,8,3,10,1,8,4,10,6,8,1,10,21,8,22,10,6,8,2,10,3,8,1,10,35,8,2,10,4,8,5,10,2,4,14,18,2,4,3,19,4,4,24,19,6,4,2,10,8,8,1,18,1,10,7,8,1,10,7,8,7,10,47,8,1,18,2,4,2,19,6,4,45,19,4,4,2,18,4,8,12,10,8,8,3,10,1,8,5,10,4,8,3,10,7,8,10,10,4,8,15,10,7,8,1,10,9,8,6,18,4,4,8,19,6,4,42,19,5,4,1,10,29,8,3,10,48,8,4,10,80,8,1,10,2,4,2,19,7,4,670,},
{4,669,10,3,8,2,10,14,18,2,10,4,18,1,10,19,8,1,18,2,8,1,10,4,8,6,18,1,8,3,10,2,8,5,15,1,14,5,15,2,8,4,18,1,14,3,15,1,8,2,9,1,8,2,15,1,8,3,15,1,14,3,18,2,8,4,9,2,8,2,18,1,8,2,10,1,8,1,15,1,14,1,3,2,14,2,15,1,18,1,15,1,14,8,3,4,14,19,3,1,14,8,15,2,14,3,15,5,14,3,15,1,8,3,15,1,14,6,15,3,14,11,16,3,14,3,15,3,8,1,15,1,14,13,15,4,14,5,17,3,14,4,17,1,16,6,17,1,14,19,15,1,8,1,10,3,8,1,18,1,14,1,18,3,8,5,18,4,8,3,18,2,15,1,18,1,8,1,10,2,8,9,18,1,8,4,10,4,8,2,18,3,8,5,14,4,15,1,14,3,15,2,14,2,15,1,8,2,15,1,14,10,16,8,14,2,8,4,15,6,14,6,3,2,14,2,15,2,14,2,15,2,14,6,15,2,8,2,18,1,15,1,14,1,15,1,8,2,10,16,8,1,18,1,8,2,10,1,8,2,18,2,8,9,18,2,8,4,18,1,8,5,9,1,10,4,15,1,3,1,16,2,3,1,14,1,15,2,8,4,15,1,14,2,17,2,16,5,17,4,16,11,17,2,16,18,14,4,15,1,8,3,15,1,14,3,18,1,8,2,10,9,8,1,14,5,3,1,16,1,14,6,17,1,16,4,17,22,14,21,15,5,8,6,15,2,8,8,15,2,14,84,15,2,8,1,15,18,14,3,15,6,8,1,10,2,8,1,18,1,8,1,18,1,15,1,14,1,15,1,18,3,15,1,18,1,8,4,18,5,8,8,18,8,8,7,18,9,8,9,18,8,8,1,18,1,8,3,18,1,8,25,18,1,8,46,10,11,8,14,10,4,8,6,10,2,8,6,10,1,8,28,10,8,8,2,10,5,8,1,10,1,8,17,10,1,8,3,10,8,8,4,10,1,8,4,10,6,8,1,10,1,8,5,10,5,8,3,10,7,8,23,10,5,8,2,10,35,8,6,10,5,8,3,18,1,4,15,10,1,18,1,4,4,19,3,4,24,19,7,4,2,10,8,8,1,18,1,8,2,10,13,8,7,10,9,8,2,10,37,8,1,18,1,4,2,19,6,4,45,19,4,4,2,18,4,8,10,10,11,8,8,10,3,8,4,10,6,8,5,18,1,8,5,10,3,8,5,10,2,8,12,10,13,8,7,18,1,4,6,19,3,4,2,19,6,4,42,19,5,4,2,10,24,8,1,10,4,8,1,10,49,8,4,10,73,8,2,10,9,4,1,19,8,4,669,},
{4,669,10,3,8,2,10,1,8,2,10,1,8,1,10,9,18,2,10,24,8,1,18,3,8,2,9,1,8,5,10,1,8,5,10,3,8,4,15,1,14,5,15,8,14,2,15,1,8,4,15,4,8,1,15,2,14,2,18,1,8,4,9,1,10,2,8,2,18,1,8,2,10,1,8,1,18,1,14,5,15,3,14,3,15,3,14,1,3,1,16,2,3,1,14,11,17,1,14,3,17,1,14,3,17,1,16,2,14,4,3,1,14,2,15,2,14,1,15,1,14,3,15,2,14,2,15,2,8,2,15,2,14,8,15,1,14,11,17,1,16,3,14,6,15,1,14,14,15,4,14,6,17,4,14,3,16,7,17,1,14,18,15,1,8,1,10,3,8,1,18,1,14,2,18,3,8,3,18,4,8,4,18,1,15,1,14,1,15,1,18,1,8,3,10,4,8,2,15,2,8,10,18,4,8,2,9,1,8,1,15,1,14,8,15,2,14,2,15,1,8,2,15,1,14,2,15,2,14,5,3,1,16,8,14,2,8,7,7,1,14,8,3,1,14,2,15,2,8,1,15,2,8,2,15,1,14,6,15,2,18,3,15,1,18,1,8,2,10,14,8,2,18,2,8,1,10,3,8,1,18,2,8,9,18,1,15,1,8,4,18,1,8,3,18,1,8,1,10,4,8,1,14,1,3,2,14,2,15,2,8,5,15,1,14,2,17,5,16,1,17,5,16,32,14,2,15,2,8,3,18,1,15,1,14,4,18,1,8,2,10,6,8,1,15,1,14,5,3,1,16,1,17,1,14,4,17,2,16,3,17,9,16,2,17,10,14,24,15,2,8,7,15,3,8,3,10,2,8,3,15,3,14,12,15,4,14,67,15,13,14,3,15,6,14,2,15,3,14,1,15,2,8,1,10,1,8,1,18,1,14,1,18,2,14,2,15,1,18,3,15,1,18,1,8,4,18,4,8,7,18,10,8,8,18,9,8,9,18,7,8,21,10,1,8,11,18,1,8,6,18,1,8,31,10,2,8,4,10,11,8,7,10,4,8,2,10,5,8,5,10,3,8,5,10,3,8,28,10,7,8,2,10,7,8,17,10,1,8,3,10,7,8,10,10,8,8,5,10,3,8,6,10,6,8,22,10,5,8,2,10,35,8,6,10,6,8,3,18,1,4,4,19,5,4,6,8,1,18,1,4,2,19,5,4,24,19,6,4,3,10,9,8,4,10,12,8,7,10,9,8,2,10,37,18,2,4,2,19,6,4,45,19,3,4,2,18,4,8,10,10,15,8,6,10,2,8,4,10,5,8,5,18,2,8,6,10,1,8,2,18,2,8,2,10,2,8,6,10,1,8,5,10,7,8,7,18,5,10,1,4,2,19,8,4,50,19,5,4,2,8,2,10,20,8,3,10,54,8,4,10,72,8,3,10,9,4,2,19,8,4,668,},
{4,669,18,1,10,2,8,1,10,2,8,5,10,34,9,1,18,8,15,1,18,1,8,1,9,1,8,5,10,4,8,3,15,2,14,4,15,8,14,3,15,4,14,2,15,2,8,2,15,1,14,2,18,1,8,1,9,1,8,2,10,3,9,1,8,1,18,1,8,1,10,3,8,1,18,2,15,1,14,2,15,2,14,4,15,3,14,1,3,1,16,2,14,11,16,2,14,3,17,1,14,3,16,4,14,6,15,1,14,1,15,3,14,2,15,5,8,3,15,1,14,21,17,1,16,3,14,22,15,1,8,1,15,1,14,7,16,3,14,3,17,1,16,8,17,3,14,5,3,2,14,8,18,1,8,3,18,2,14,5,18,8,8,3,18,1,15,1,14,1,15,1,18,1,8,3,10,4,8,1,15,1,14,1,15,1,8,9,18,2,15,1,18,2,8,4,15,1,14,8,15,1,14,4,15,1,14,2,15,1,8,2,15,1,14,4,3,1,16,9,17,1,14,1,7,1,8,2,10,2,8,2,7,1,14,11,15,1,8,7,15,1,14,7,15,1,18,3,8,3,10,14,8,1,18,3,8,1,10,2,8,2,18,1,8,7,10,2,8,1,15,2,8,8,18,1,8,1,10,3,8,1,15,1,14,3,15,1,8,3,15,1,8,4,15,1,14,5,17,5,16,35,17,1,14,2,15,1,8,2,9,1,8,2,15,1,14,1,3,2,14,1,18,1,8,1,10,6,8,1,14,7,3,1,14,5,17,2,16,3,17,9,16,1,17,10,14,25,15,1,8,8,15,3,8,3,10,2,8,3,15,4,14,9,15,6,14,67,15,10,14,7,15,5,14,6,15,1,18,1,8,1,10,1,8,1,18,1,14,2,15,1,14,2,15,1,18,3,15,1,18,1,8,4,18,4,8,7,18,10,8,8,18,9,8,10,18,6,8,4,18,1,8,26,18,3,8,6,18,1,8,17,10,3,8,11,10,2,8,4,10,11,8,6,10,12,8,4,10,4,8,5,10,3,8,3,10,3,8,23,10,6,8,2,10,5,8,1,10,1,8,16,10,3,8,3,10,6,8,9,10,9,8,16,10,4,8,22,10,5,8,2,10,36,8,5,10,10,4,3,19,6,4,5,18,3,4,1,19,5,4,25,19,6,4,3,10,10,8,4,10,10,8,6,10,51,18,1,4,1,19,7,4,46,19,1,4,3,18,4,8,10,10,14,8,13,10,4,8,16,18,4,8,1,10,2,8,5,10,3,8,15,18,6,4,5,19,8,4,50,19,5,4,2,8,2,10,21,8,1,10,56,8,3,10,16,8,2,10,46,8,2,10,6,8,2,10,10,4,4,19,6,4,668,},
{4,669,18,1,10,2,8,1,10,2,8,5,10,34,9,1,18,6,15,1,14,2,15,1,8,2,10,1,8,4,10,4,8,3,15,2,14,3,15,2,8,1,15,3,14,6,15,4,14,2,15,2,8,2,15,2,14,1,18,1,9,1,10,6,9,1,8,2,9,1,10,3,9,1,8,2,18,1,15,4,14,5,15,2,14,1,3,1,16,1,3,1,14,11,16,2,17,1,14,6,16,4,3,1,14,4,15,2,14,1,15,3,14,2,15,4,8,3,15,1,14,23,16,2,14,22,15,1,8,2,15,2,14,6,17,1,16,2,17,1,14,2,17,1,16,10,17,1,14,15,15,1,18,2,15,1,14,4,3,2,14,2,18,12,15,1,18,1,8,4,10,4,8,1,15,1,14,1,15,1,18,1,8,2,18,4,15,2,18,1,15,2,18,2,8,4,15,1,14,16,15,1,8,2,15,1,14,1,16,1,14,2,16,4,17,2,16,5,14,2,15,1,8,4,7,1,14,12,15,1,8,3,15,1,8,2,15,3,14,7,15,1,18,1,8,4,10,15,18,3,8,1,10,2,8,1,18,3,8,5,10,3,8,1,15,2,8,10,9,3,18,1,15,4,8,2,15,2,14,1,15,1,8,2,15,1,14,8,17,1,16,38,14,2,15,1,8,2,10,3,8,1,14,1,3,2,14,1,18,1,8,1,10,6,8,1,14,12,17,3,16,2,17,22,14,24,15,1,8,5,15,5,18,1,8,2,10,3,8,3,15,6,14,7,15,6,14,69,15,8,14,8,15,1,14,9,18,1,8,1,10,2,8,1,14,6,15,1,18,3,15,1,18,1,8,4,18,6,8,5,18,9,8,9,18,10,8,10,18,4,8,5,18,2,8,24,18,4,8,6,18,2,8,16,10,4,8,8,10,20,8,4,10,13,8,2,10,7,8,3,10,4,8,3,10,4,8,6,10,2,8,8,18,4,8,6,10,1,8,4,10,3,8,17,10,5,8,3,10,5,8,9,10,10,8,19,10,1,8,22,10,6,8,1,10,36,8,5,10,10,4,1,19,7,4,3,18,5,4,2,19,5,4,25,19,6,4,2,10,12,8,3,10,10,8,4,10,53,18,1,4,1,19,5,4,52,18,4,8,4,10,2,8,5,10,7,8,2,10,5,8,12,10,3,8,17,18,4,8,1,10,2,8,5,10,3,8,13,10,1,18,2,4,10,19,8,4,50,19,4,4,3,8,1,10,79,8,3,10,16,8,2,10,46,8,1,10,8,8,1,10,10,4,5,19,5,4,668,},
{4,669,18,1,9,1,8,2,10,2,8,1,10,1,8,3,10,26,8,3,9,1,10,4,8,1,18,2,14,7,15,1,18,1,8,2,9,1,8,4,10,3,8,4,15,2,14,1,15,2,8,3,15,2,14,2,15,1,14,2,15,8,8,3,15,2,14,1,18,1,9,1,10,1,9,1,10,5,8,2,10,5,8,1,9,1,8,1,18,2,8,1,15,1,14,13,15,2,14,6,16,3,14,7,16,4,14,4,15,3,14,1,15,1,8,2,15,1,14,1,15,1,8,5,15,1,14,48,15,1,8,3,15,3,14,4,16,3,17,1,14,2,17,2,16,9,17,1,14,16,15,2,14,1,3,1,14,2,3,3,14,2,18,5,15,1,14,3,15,1,18,3,8,2,18,3,8,4,15,2,14,1,15,2,8,2,15,4,14,2,15,2,14,1,15,1,18,1,8,2,15,3,14,14,17,1,14,1,15,1,8,2,14,1,17,1,16,7,14,2,17,1,16,4,17,1,14,2,15,1,8,2,7,1,14,12,15,2,8,1,15,10,14,5,15,1,18,1,8,4,10,8,8,3,10,4,8,4,10,1,8,2,18,3,8,5,10,2,9,1,8,1,18,2,8,10,9,1,8,3,15,1,18,1,8,4,15,1,14,3,15,2,14,9,17,2,16,38,14,2,8,2,10,3,8,1,14,1,3,3,15,1,8,1,10,6,8,1,14,12,17,14,14,6,17,9,14,23,8,4,15,1,14,1,15,2,8,5,10,3,8,4,15,5,14,7,15,6,14,64,15,3,14,4,15,5,14,8,15,1,14,3,18,3,14,4,18,1,8,1,10,2,8,1,14,6,18,4,15,1,18,1,8,4,18,13,8,1,18,5,8,10,18,10,8,10,18,12,8,22,18,6,8,5,18,2,8,16,10,4,8,8,10,20,8,4,10,11,8,1,10,9,8,3,10,5,8,4,10,3,8,5,10,8,8,3,18,4,8,31,10,5,8,5,10,2,8,10,10,12,8,40,10,42,8,6,10,10,4,1,19,6,4,4,18,1,8,1,18,3,4,3,19,3,4,25,19,7,4,1,10,13,8,3,10,10,8,3,10,54,4,3,19,4,4,51,18,5,8,4,10,2,8,6,10,5,8,3,10,5,8,13,10,2,8,17,18,4,8,1,10,2,8,6,10,3,8,10,10,1,18,1,4,13,19,8,4,49,19,5,4,2,10,100,8,2,10,46,8,1,10,19,4,4,19,6,4,668,},
{4,670,8,3,10,3,18,1,8,2,10,26,9,1,8,4,10,3,9,1,8,1,18,1,14,7,15,2,8,9,9,1,8,5,15,5,8,3,15,5,14,1,15,3,8,2,15,3,8,4,15,3,18,1,9,1,10,1,9,2,10,4,8,2,10,4,8,2,10,1,9,1,8,4,15,1,14,17,3,1,16,1,14,1,17,1,16,1,14,8,16,4,14,2,15,5,14,1,15,1,8,2,15,2,8,5,15,1,14,8,15,1,14,39,15,2,8,4,15,2,14,4,17,1,16,2,17,6,16,8,17,2,14,15,15,1,14,2,3,1,14,2,3,3,14,2,15,1,18,3,15,1,14,2,3,1,14,2,15,1,18,2,8,2,18,1,15,3,8,2,15,1,14,1,15,2,14,1,15,1,8,2,15,4,14,3,15,1,14,1,15,1,18,1,8,1,18,1,15,4,14,11,16,2,17,1,14,2,15,2,14,1,16,7,14,3,16,5,17,2,14,2,7,2,14,2,17,1,14,9,15,2,18,2,15,1,14,5,15,5,14,4,15,1,18,1,8,5,10,7,8,1,18,2,9,1,10,8,8,1,18,3,8,5,10,3,8,2,18,2,8,6,18,1,8,1,10,2,9,3,8,8,15,1,14,5,16,2,17,1,14,6,17,2,16,23,17,1,16,13,3,1,14,1,15,1,8,1,10,4,15,1,14,1,3,1,14,1,18,1,8,1,10,6,8,1,14,11,17,15,14,8,17,7,14,23,8,3,15,1,14,3,15,1,8,4,10,4,8,3,15,7,14,6,15,6,14,5,15,1,14,58,15,4,14,4,15,4,14,5,15,4,14,2,15,1,18,1,8,2,18,1,14,2,18,1,8,1,10,3,8,1,14,3,15,1,14,1,15,1,18,4,15,2,8,4,18,13,8,3,18,1,8,11,18,4,8,2,18,5,8,12,18,3,8,2,18,5,8,22,18,6,8,5,18,2,8,16,10,3,8,11,10,18,8,4,10,10,8,3,10,7,8,1,10,8,8,4,10,3,8,5,10,8,8,4,18,4,8,29,10,6,8,17,10,14,8,3,10,2,8,1,10,1,8,2,10,1,8,27,10,42,8,7,10,10,4,1,19,6,4,3,18,1,10,1,8,2,18,2,4,31,19,5,4,3,10,13,8,3,10,10,8,3,10,53,4,59,18,4,8,5,10,2,8,10,10,1,8,4,10,4,8,35,18,1,8,1,10,2,8,6,10,3,8,4,18,5,10,2,4,70,19,6,4,2,10,100,8,2,10,66,4,3,19,7,4,668,},
{4,669,18,1,8,3,10,2,18,3,8,1,10,26,9,1,8,4,9,1,10,1,9,1,8,2,15,1,14,6,15,1,8,8,15,3,18,1,8,5,15,2,14,1,15,2,8,3,15,15,8,2,15,4,8,1,9,2,8,2,9,1,10,3,9,1,8,1,10,2,8,2,18,2,8,1,10,1,8,4,15,1,14,6,15,4,14,2,15,1,14,13,16,1,17,1,14,2,16,4,14,2,15,1,14,2,15,2,14,1,15,2,8,5,9,1,8,1,15,1,14,9,15,1,14,38,15,4,8,4,15,1,14,3,17,2,16,1,17,1,16,3,14,3,16,9,17,2,16,2,14,12,15,2,14,1,3,3,14,11,3,3,14,3,18,1,8,1,18,1,14,4,15,2,14,3,15,1,14,1,15,1,8,2,15,3,14,4,15,1,14,2,15,1,18,1,15,2,14,1,15,3,14,10,16,2,14,6,16,5,3,1,14,4,16,5,17,2,14,5,17,1,16,1,14,3,7,2,14,3,15,1,18,1,8,1,18,1,15,1,14,5,15,6,14,3,15,1,18,1,8,3,18,1,8,2,10,7,18,4,10,8,8,13,18,4,8,1,10,2,8,1,18,1,15,1,8,1,10,2,9,1,8,2,9,1,8,7,15,1,14,3,3,1,16,5,14,6,17,1,16,23,17,1,16,14,14,2,15,1,8,1,10,3,8,1,14,3,18,1,8,2,10,5,8,1,15,1,14,10,17,3,16,1,17,11,14,10,17,5,14,22,15,2,8,1,15,1,14,3,15,1,8,4,10,5,8,3,15,4,8,2,15,1,14,9,15,5,14,1,15,4,14,56,15,5,14,5,15,3,14,3,15,2,18,5,15,1,18,1,8,1,10,2,8,1,18,1,15,1,18,1,8,1,10,2,8,1,18,1,14,2,15,1,18,1,15,2,18,3,15,1,14,1,15,1,8,5,18,11,8,15,18,5,8,2,18,5,8,16,18,7,8,21,18,6,8,4,18,3,8,16,10,3,8,17,10,12,8,3,10,10,8,5,10,4,8,4,10,4,8,7,10,3,8,4,10,9,8,9,18,1,8,8,10,2,8,17,10,6,8,18,10,25,8,24,10,35,8,4,10,3,8,8,10,4,8,2,10,3,4,2,19,5,4,2,18,2,8,5,18,1,4,31,19,5,4,3,10,13,8,3,10,10,8,2,10,54,4,58,18,3,8,7,10,2,8,10,10,6,8,3,10,2,8,13,10,4,8,18,10,2,8,7,10,1,8,4,18,6,4,72,19,6,4,2,10,100,8,2,10,65,4,3,19,7,4,669,},
{4,669,8,4,10,2,18,3,8,1,10,4,18,3,10,21,9,3,10,3,8,1,18,1,14,3,3,1,14,2,15,1,8,1,10,4,8,2,18,1,15,1,14,4,15,1,8,3,15,1,14,4,15,5,14,2,15,2,8,2,15,4,14,2,15,7,8,1,9,1,10,1,9,1,18,2,8,1,10,4,8,1,10,1,8,1,18,1,14,3,8,4,10,1,9,1,8,1,15,1,14,5,15,1,8,2,15,6,14,10,17,1,16,7,14,6,15,2,14,1,15,2,8,3,15,1,8,3,15,1,14,19,16,1,17,1,14,21,15,2,14,4,15,5,8,3,15,1,14,3,17,4,16,3,14,3,17,1,16,8,17,2,16,6,3,1,14,6,15,1,8,2,15,1,14,10,3,7,14,10,15,2,14,6,8,3,15,2,14,7,15,4,14,2,15,2,14,10,16,1,14,4,16,1,14,11,17,1,16,4,17,1,14,1,17,1,14,4,17,1,16,2,14,2,7,3,14,3,15,1,8,2,18,1,15,1,14,2,15,6,14,5,15,2,8,8,10,6,18,4,4,3,10,6,8,2,10,2,8,2,18,1,8,4,18,3,8,1,18,2,10,2,8,1,15,1,14,1,18,1,10,2,8,1,15,1,18,1,8,6,15,1,14,3,3,3,16,6,14,5,17,1,16,23,17,1,16,9,17,1,16,3,3,1,14,3,8,2,10,2,8,1,14,2,18,3,8,1,10,3,8,1,10,1,8,1,15,1,14,10,17,2,16,2,17,3,14,3,17,4,14,17,15,2,14,18,15,4,14,4,15,1,8,3,10,6,8,3,15,3,8,3,15,2,14,10,15,4,8,3,15,3,14,55,15,4,14,5,15,7,18,3,8,2,18,2,8,1,10,4,8,1,18,2,8,1,10,2,8,1,15,1,14,2,18,1,8,1,18,1,15,1,18,1,8,1,18,1,15,1,14,2,18,1,8,4,18,11,8,15,18,6,8,1,18,4,8,17,18,8,8,20,18,6,8,4,18,4,8,15,10,2,8,21,10,1,8,2,10,6,8,3,10,4,8,1,10,5,8,5,10,2,8,6,10,3,8,8,10,3,8,4,10,8,8,18,10,4,8,2,10,2,8,12,10,6,8,19,10,4,8,3,10,18,8,22,10,35,8,6,10,2,8,9,10,1,8,4,10,3,4,2,19,5,4,1,18,2,8,2,10,1,8,3,10,1,4,31,19,5,4,3,10,13,8,3,10,2,8,2,10,14,8,3,10,45,4,58,18,3,8,4,10,1,8,2,10,2,8,10,10,6,8,2,10,4,8,12,10,5,8,10,10,1,8,4,18,1,8,1,10,2,8,8,10,1,8,3,18,4,4,74,19,6,4,2,10,1,8,1,10,98,8,2,10,50,8,3,10,11,18,1,4,3,19,6,4,670,},
{4,668,9,1,8,4,10,2,18,1,8,2,18,7,10,5,18,2,10,19,8,2,18,1,15,1,14,2,3,3,14,1,15,1,10,5,8,1,18,1,14,2,3,4,14,1,15,1,8,4,15,1,14,4,15,2,14,4,8,4,15,1,14,5,15,6,8,1,9,2,8,1,15,2,18,1,10,4,8,2,18,1,14,1,3,2,14,1,18,1,8,3,10,2,8,1,15,1,14,4,15,1,8,4,15,5,14,10,16,8,14,2,15,2,14,2,15,6,8,4,9,1,8,1,15,1,14,34,17,1,3,1,14,3,3,1,14,2,15,2,14,4,15,4,8,4,15,1,14,3,16,7,17,1,14,2,17,1,16,17,3,1,14,4,15,1,8,4,15,1,14,7,3,8,14,7,3,1,14,3,15,1,14,6,15,1,8,2,15,3,14,13,15,2,14,4,15,2,14,4,16,1,17,1,14,2,16,3,17,1,14,9,16,4,17,1,14,3,17,3,14,1,17,3,14,1,7,2,8,1,7,2,14,1,15,1,8,4,18,1,14,2,15,1,8,2,15,1,14,7,15,1,8,5,14,1,18,1,8,1,10,6,8,1,18,3,4,5,10,10,18,2,8,4,15,2,18,1,8,1,18,2,8,2,18,1,15,2,8,1,10,2,18,1,14,1,15,1,18,1,8,1,9,1,8,1,18,1,8,1,15,1,14,3,3,1,16,2,3,1,17,1,16,4,17,1,14,4,17,1,16,23,17,2,16,7,17,2,16,4,14,3,15,1,8,1,10,2,8,2,15,3,18,1,8,2,10,1,8,2,10,1,8,2,14,10,17,7,14,2,17,7,14,15,15,2,14,17,15,5,14,3,15,1,8,3,10,6,8,2,15,14,14,6,15,4,8,4,15,3,14,53,15,13,14,1,15,2,18,2,8,6,10,6,8,3,10,1,8,1,18,1,14,2,18,1,8,2,18,5,15,1,14,2,18,1,8,3,18,11,8,14,18,7,8,2,18,4,8,17,18,8,8,19,18,6,8,6,18,2,8,16,10,2,8,24,10,6,8,10,10,2,8,7,10,1,8,6,10,3,8,8,10,4,8,3,10,8,8,18,10,5,8,1,10,3,8,11,10,6,8,19,10,25,8,21,10,36,8,6,10,1,8,15,10,3,4,1,19,5,4,2,18,2,8,6,18,1,4,31,19,5,4,3,10,10,8,5,10,2,8,2,10,15,8,3,10,45,4,58,18,3,8,3,10,2,8,1,10,3,8,10,10,5,8,3,10,4,8,12,10,5,8,9,10,3,8,5,10,2,8,11,18,2,4,5,19,2,4,70,19,6,4,2,18,1,8,1,10,150,8,4,10,10,4,4,19,6,4,670,},
{4,661,19,6,4,1,9,1,8,2,10,1,8,3,10,1,18,7,10,27,9,1,15,2,14,4,3,3,14,1,15,1,10,5,8,1,14,1,3,4,14,2,15,2,8,3,10,1,8,1,15,1,14,9,15,1,8,3,15,1,14,3,15,2,14,2,15,3,8,4,18,1,14,2,15,1,9,1,10,2,9,1,8,1,18,1,14,2,3,1,14,1,15,1,8,3,10,3,8,1,15,1,14,5,15,1,8,3,15,2,14,16,16,5,14,2,15,3,14,2,15,1,8,1,15,1,14,2,15,1,8,2,10,2,8,1,14,22,17,1,16,1,17,1,14,10,17,1,3,2,14,1,3,3,14,7,15,2,8,7,15,1,14,2,17,1,16,7,17,2,14,2,17,1,16,16,14,4,15,1,8,4,18,1,14,7,3,5,14,5,3,4,14,11,15,7,14,2,3,1,14,8,15,2,14,5,15,1,8,2,15,1,14,2,16,3,17,2,16,6,14,7,17,1,16,2,17,1,14,4,17,3,14,5,7,2,8,3,7,1,8,6,15,5,14,8,15,1,8,4,14,1,3,2,8,1,10,5,8,1,18,1,3,1,18,2,4,5,10,9,8,1,18,2,8,1,10,2,8,1,18,1,15,1,18,1,8,3,18,1,15,1,18,1,8,2,10,3,18,1,14,2,15,1,9,1,10,1,15,2,18,1,8,1,15,1,14,2,3,4,14,1,3,1,17,3,14,4,17,1,16,25,17,1,16,6,17,1,16,8,14,1,15,2,8,1,10,3,18,1,14,1,3,1,14,1,18,1,8,3,10,2,8,2,14,3,17,1,14,4,17,14,16,3,17,7,14,26,15,7,14,2,15,2,8,3,10,5,8,2,15,1,14,2,15,1,14,5,15,19,8,1,15,3,14,14,15,5,14,24,15,1,14,6,15,16,14,2,15,1,8,6,10,10,8,1,18,1,14,4,18,7,15,4,18,1,8,3,15,1,14,1,15,5,18,5,8,4,18,2,8,10,18,4,8,19,18,4,8,2,18,6,8,2,10,3,8,7,10,3,8,4,18,5,8,37,10,4,8,6,10,11,8,26,10,4,8,5,10,4,8,1,10,10,8,20,10,3,8,4,10,2,8,10,10,6,8,18,10,24,8,21,10,39,8,4,10,3,8,10,10,3,8,1,10,3,4,1,19,5,4,2,18,1,8,7,4,32,19,5,4,3,10,10,8,5,10,67,4,58,18,3,8,3,10,5,8,19,10,2,8,14,10,6,8,8,10,2,8,16,18,4,4,2,19,6,4,77,10,2,8,2,10,59,8,4,10,18,8,2,10,67,8,3,10,10,4,2,19,6,4,672,},
{4,660,19,7,4,1,10,1,8,1,10,2,8,3,10,1,18,7,10,27,8,1,14,6,3,3,14,1,15,1,10,5,8,1,14,1,3,3,14,2,15,5,8,1,10,1,8,1,15,1,14,9,15,1,8,3,15,1,14,3,15,2,14,2,15,3,8,4,15,1,14,2,15,1,18,1,8,2,18,1,15,2,14,1,3,2,14,1,18,1,8,1,10,5,8,1,15,1,14,5,15,1,8,3,15,2,14,12,16,1,14,4,16,4,14,2,15,1,8,1,15,2,14,2,15,2,14,2,15,1,8,1,10,3,15,1,3,1,16,2,14,19,16,4,14,15,3,3,14,5,15,2,8,2,9,4,8,1,15,1,14,3,16,8,17,1,14,4,16,16,3,1,14,3,15,2,8,3,14,8,3,3,14,7,3,4,14,10,15,1,8,1,15,4,14,3,3,1,14,8,15,7,8,1,10,1,9,1,8,1,14,1,17,1,16,7,17,1,16,3,14,7,17,1,16,1,17,1,14,5,17,3,14,3,7,4,8,1,7,3,15,1,8,5,18,1,15,3,14,6,15,2,18,1,8,4,18,1,14,1,3,2,18,1,10,4,8,1,18,1,3,2,18,1,4,6,10,10,8,2,10,3,8,2,18,3,8,1,18,1,15,2,18,1,10,4,8,1,18,1,14,2,15,1,9,1,8,1,14,2,15,1,8,1,18,1,15,1,14,12,17,2,16,26,6,1,17,1,16,5,17,1,16,8,14,1,15,2,8,1,10,3,8,1,3,2,14,1,18,1,8,1,10,5,8,1,14,3,17,2,14,2,17,1,16,1,17,12,16,5,17,7,14,25,15,10,8,4,10,4,8,2,14,4,15,2,14,4,15,4,18,3,8,3,18,2,15,2,14,4,15,6,14,13,15,8,14,2,15,2,14,17,15,2,14,2,15,11,18,1,15,7,14,2,15,1,18,1,8,2,18,2,8,2,10,9,18,1,14,1,3,1,14,2,15,3,18,4,15,4,18,2,8,3,15,1,14,3,15,3,18,11,8,6,18,2,8,2,18,4,8,18,18,4,8,4,18,5,8,2,10,4,8,6,10,4,8,4,18,3,8,38,10,4,8,6,10,11,8,27,10,4,8,3,10,5,8,31,10,3,8,5,10,1,8,11,10,5,8,18,10,24,8,20,10,48,8,9,10,7,4,1,19,4,4,2,18,1,8,7,10,1,4,32,19,5,4,2,18,1,10,10,8,4,10,68,4,57,18,4,8,3,10,4,8,20,10,2,8,14,10,9,8,21,10,1,8,1,18,3,4,2,19,7,4,76,10,3,8,1,10,60,8,3,10,19,8,2,10,6,8,4,10,15,8,2,10,53,4,2,19,6,4,672,},
{4,659,19,8,4,1,10,1,8,2,10,5,18,7,10,19,8,2,10,5,8,1,15,1,14,6,3,3,14,1,8,1,10,5,8,1,14,1,3,3,14,2,15,6,8,2,15,1,14,1,15,2,14,7,15,1,8,2,15,1,14,3,15,2,14,2,15,3,8,4,18,1,14,3,15,1,18,2,14,6,15,1,8,4,10,2,8,2,14,4,15,8,14,17,16,5,14,2,15,2,14,6,15,1,8,1,10,3,8,1,14,1,16,3,14,19,16,5,17,1,14,21,15,3,8,2,9,1,10,2,8,1,15,1,14,3,17,1,16,8,14,4,17,1,16,15,3,2,14,3,15,4,14,9,3,1,14,10,3,4,14,7,15,1,8,2,15,5,14,6,15,1,14,4,15,1,8,7,10,1,8,1,15,1,14,1,16,8,17,1,14,9,17,2,16,2,17,1,14,4,17,3,14,3,7,6,14,3,7,1,15,1,8,2,18,2,14,8,15,1,8,6,18,1,14,2,3,1,14,1,18,1,8,2,10,2,9,1,18,1,3,2,18,1,4,5,10,11,8,2,10,4,8,1,18,2,15,4,18,1,8,1,10,3,8,1,18,1,15,2,14,1,15,1,8,2,14,3,15,6,14,2,3,1,14,6,17,1,16,26,17,2,16,14,3,1,14,1,15,2,8,1,10,3,8,1,14,2,18,1,8,1,10,6,8,1,14,3,17,2,14,2,16,8,17,4,16,8,17,6,14,27,15,8,8,2,10,1,8,1,10,4,8,2,14,4,15,5,18,2,15,1,14,2,15,2,8,6,18,1,15,2,14,4,15,5,14,14,15,13,14,4,15,1,14,1,15,2,14,7,15,13,14,1,15,3,14,1,15,5,14,2,15,1,18,3,15,1,14,1,18,4,8,1,10,4,8,2,18,1,3,2,14,1,18,2,15,10,18,3,8,1,18,1,15,1,14,2,15,4,18,11,8,11,18,3,8,19,18,2,8,13,10,2,8,7,10,3,8,36,10,1,8,9,10,4,8,5,10,11,8,17,10,3,8,7,10,5,8,3,10,4,8,32,10,3,8,17,10,21,8,2,10,24,8,20,10,49,8,11,10,4,4,2,19,3,4,2,18,1,8,7,4,3,19,2,4,28,19,5,4,2,10,11,8,4,10,58,8,1,10,9,4,2,19,4,4,51,18,4,8,3,10,4,8,20,10,2,8,4,10,1,8,10,10,9,8,15,18,1,15,1,8,3,10,1,18,1,4,4,19,8,4,71,18,3,10,89,8,1,10,7,8,2,10,16,8,1,10,54,4,2,19,6,4,672,},
{4,659,19,8,4,1,9,1,8,3,10,5,18,1,10,1,18,1,8,1,18,3,10,17,8,1,18,2,8,6,14,8,3,1,14,2,8,1,10,5,8,1,15,1,14,4,15,1,18,1,8,1,15,1,14,3,15,4,8,2,15,1,14,6,15,1,8,2,15,1,14,3,15,6,8,6,15,1,14,3,15,1,14,2,3,1,14,3,15,1,18,1,8,7,15,1,14,4,15,1,8,2,15,1,14,18,16,1,3,1,14,2,16,4,3,1,14,3,15,3,14,3,8,1,10,3,15,1,14,1,16,4,14,19,16,6,17,1,14,22,15,3,8,1,9,2,8,1,15,1,14,4,17,1,16,7,14,6,16,16,3,1,14,6,15,2,14,3,15,2,14,9,15,2,14,2,3,5,14,6,15,9,14,4,15,3,14,3,15,1,8,2,9,1,10,2,9,1,8,1,9,1,8,1,15,1,14,1,16,2,14,2,16,3,17,2,14,9,17,2,16,2,17,1,14,4,17,2,14,4,7,1,8,2,7,3,14,5,15,4,14,3,15,1,8,6,10,4,8,1,15,1,14,5,18,1,8,1,10,2,8,1,14,1,3,2,18,1,4,5,10,2,8,1,10,15,8,2,15,1,14,2,15,1,8,1,10,4,8,1,15,5,8,1,15,1,14,4,15,1,8,4,15,1,14,1,3,1,14,6,17,1,16,6,17,2,16,18,17,2,16,14,14,2,15,2,8,2,10,2,8,1,18,1,15,1,18,1,8,1,10,6,8,1,14,2,17,5,16,21,17,6,14,26,15,2,8,1,15,4,8,6,10,2,8,2,15,1,14,3,15,1,8,8,15,1,18,4,8,6,18,1,15,1,14,5,15,3,14,16,15,21,14,8,15,8,14,8,15,9,14,8,18,1,8,1,10,3,18,2,14,1,3,1,14,1,18,3,14,1,15,8,18,1,15,1,18,4,15,7,18,7,15,1,18,3,8,6,18,1,8,51,10,1,8,47,10,4,8,5,10,11,8,16,10,16,8,3,10,3,8,32,10,5,8,16,10,21,8,3,10,24,8,20,10,48,8,11,10,4,4,7,18,1,8,6,10,1,4,2,19,3,4,28,19,5,4,1,18,1,8,1,10,11,8,2,10,10,8,3,10,36,8,2,10,7,8,3,10,8,4,1,19,5,4,51,18,4,8,4,10,3,8,24,10,4,8,12,10,6,8,15,14,2,18,2,8,1,4,4,19,9,4,71,18,1,10,37,8,5,10,131,4,2,19,6,4,672,},
{4,658,19,9,4,1,9,1,8,4,10,1,8,1,10,8,18,3,10,13,8,2,18,2,15,2,8,5,15,1,14,9,15,1,8,1,10,5,8,1,15,1,14,4,15,1,18,2,15,1,14,5,15,2,8,2,15,1,14,6,15,4,14,3,15,5,8,5,9,1,8,2,15,2,18,1,15,1,14,6,15,1,8,7,15,2,14,4,15,1,8,1,15,1,14,19,16,1,3,1,14,3,16,4,14,3,15,1,8,1,15,1,14,2,15,1,8,1,10,2,8,1,14,1,16,5,14,2,15,1,14,17,17,2,16,3,17,1,14,24,15,2,8,3,15,1,14,4,17,1,16,7,14,2,15,2,14,3,16,4,17,2,16,10,3,1,14,5,15,2,14,2,15,4,14,13,3,2,14,17,15,4,14,2,15,4,8,3,9,1,10,2,9,1,8,3,14,2,3,2,14,2,17,1,16,1,17,1,14,13,17,2,14,11,7,1,8,2,7,2,14,7,15,1,18,1,15,1,14,2,15,1,8,1,10,3,8,3,10,4,8,1,14,5,3,1,14,1,8,1,10,2,18,1,3,3,18,1,10,5,8,1,18,2,8,5,10,11,8,1,18,1,14,2,15,1,8,1,10,3,9,1,8,1,18,1,15,3,18,2,15,1,14,3,15,1,8,4,10,1,8,1,14,9,17,2,16,24,17,2,16,14,14,2,15,2,8,3,10,2,8,1,18,1,8,1,10,7,8,1,14,2,17,4,16,22,17,5,14,27,15,2,8,2,15,3,8,10,14,4,18,1,8,11,18,5,8,3,18,1,15,2,14,4,15,3,14,16,15,17,14,1,15,1,14,1,15,2,14,9,15,6,14,8,15,7,14,10,18,1,8,1,10,3,18,2,14,2,18,4,14,2,15,6,18,7,15,8,18,1,15,7,18,1,8,50,10,2,8,7,10,1,8,46,10,5,8,5,10,11,8,15,10,17,8,38,10,5,8,16,10,21,8,3,10,1,8,6,10,18,8,19,10,33,8,3,10,3,8,2,10,6,8,13,10,4,4,5,18,1,8,4,10,1,8,1,10,1,4,2,19,4,4,28,19,5,4,1,18,1,8,1,10,7,8,3,10,2,8,1,10,9,8,5,10,15,8,2,10,17,8,3,10,7,8,3,10,8,4,1,19,5,4,51,18,4,8,4,10,2,8,25,10,4,8,13,10,5,8,8,7,3,8,3,18,1,14,2,3,1,18,2,4,2,19,10,4,71,18,1,10,93,8,1,10,2,8,2,10,74,8,1,10,1,4,2,19,6,4,672,},
{4,658,19,7,4,2,18,1,8,6,10,9,18,3,10,1,18,1,10,2,18,1,10,8,18,4,14,2,15,2,8,3,15,1,14,9,8,1,10,6,8,1,18,1,14,3,15,1,18,3,15,1,14,6,15,1,8,2,14,8,15,3,14,2,15,5,8,4,15,1,8,2,9,1,8,5,15,1,14,4,15,1,18,1,8,5,15,2,14,5,15,2,8,1,15,1,14,1,3,1,14,17,16,1,14,4,3,1,16,4,14,2,15,3,14,1,15,1,8,1,10,2,15,1,14,1,16,6,15,2,14,2,16,5,14,8,17,1,14,33,15,5,14,4,16,8,14,2,15,3,14,4,17,1,14,3,16,11,14,5,15,2,14,2,15,4,14,32,15,3,14,4,15,1,8,1,9,2,8,3,9,1,10,1,9,1,8,2,15,1,14,6,17,2,14,9,3,1,14,9,15,1,14,7,7,1,8,3,7,2,14,6,15,1,8,1,15,1,14,2,18,1,8,1,10,10,8,1,18,1,14,4,3,1,14,1,8,1,10,2,15,1,3,2,14,1,10,4,18,3,14,2,18,3,8,2,10,5,8,2,10,5,18,1,14,2,18,1,8,1,10,3,8,7,18,1,15,2,14,2,15,1,8,1,9,1,10,3,8,1,15,1,14,10,17,2,16,21,17,1,6,1,17,1,16,10,17,1,16,3,14,2,15,2,8,3,10,2,8,2,9,1,10,3,8,1,10,3,15,1,14,2,17,3,16,10,17,1,16,6,17,2,16,4,17,5,14,27,15,1,8,3,15,3,8,9,15,1,14,3,15,1,8,2,10,8,8,3,18,5,8,2,18,2,15,2,14,2,15,5,14,18,15,9,14,1,15,1,14,6,15,2,14,9,15,6,14,8,15,2,14,3,15,2,14,10,18,1,8,1,10,2,8,1,18,2,14,1,18,5,15,6,18,8,15,8,18,2,15,5,14,1,15,1,18,2,8,5,18,3,8,10,18,3,8,28,10,4,8,51,10,6,8,6,10,11,8,12,10,1,8,1,10,16,8,40,10,5,8,5,10,1,8,8,10,10,8,10,10,2,8,1,10,1,8,9,10,17,8,20,10,2,8,2,10,2,8,1,10,25,8,9,10,4,8,15,10,3,4,4,18,1,8,5,10,1,8,1,10,1,4,2,19,3,4,29,19,5,4,1,18,1,8,1,10,7,8,2,10,13,8,4,10,16,8,2,10,15,8,4,10,6,8,4,10,9,4,1,19,5,4,50,18,5,8,31,10,4,8,13,10,4,8,9,7,1,14,2,7,1,8,3,18,1,3,2,18,2,4,2,19,7,4,74,10,50,8,3,10,41,8,1,10,2,8,2,10,71,8,3,18,1,10,1,4,2,19,6,4,672,},
{4,657,19,8,4,1,18,1,8,8,10,8,18,2,10,2,18,1,10,11,18,4,15,1,14,2,15,1,8,1,10,1,9,1,8,1,14,9,8,1,10,6,8,2,15,1,14,2,15,1,18,2,15,2,14,6,15,1,8,2,14,9,15,1,14,2,15,6,8,4,15,2,8,1,9,4,8,2,15,1,14,5,18,1,8,2,10,1,8,2,15,1,14,5,15,4,14,2,16,1,3,1,14,13,15,1,14,2,17,1,14,5,16,4,14,2,15,4,8,1,10,2,8,1,14,1,16,6,14,1,8,1,15,1,14,1,16,7,14,7,16,1,14,2,15,2,14,6,17,2,14,25,15,1,14,4,16,9,14,12,16,11,17,1,14,5,15,1,14,3,15,3,14,3,15,2,14,17,17,2,14,8,15,3,14,4,15,1,9,1,10,1,9,1,18,1,15,2,8,5,15,1,14,6,17,1,14,9,16,2,14,8,15,3,7,1,14,6,8,2,7,2,15,4,14,3,15,3,14,2,8,1,10,11,8,2,18,2,14,3,18,1,10,2,8,1,14,1,3,2,18,1,10,3,18,3,14,3,18,2,8,3,10,5,8,3,10,4,8,1,15,2,8,2,10,2,8,6,9,1,8,1,18,1,15,4,18,1,8,1,10,4,8,1,15,1,14,10,17,1,16,22,17,1,6,1,16,15,17,1,14,1,15,1,8,5,9,1,8,2,10,3,8,3,10,2,15,1,14,2,17,1,14,1,17,1,16,9,17,3,16,5,17,3,16,3,17,2,14,30,15,2,8,1,15,5,8,4,15,1,8,2,15,2,14,3,8,2,10,10,8,3,18,2,8,5,18,1,15,10,14,19,15,5,14,24,15,2,14,8,15,3,14,4,15,2,14,8,18,2,8,1,10,2,8,1,18,5,14,2,15,7,18,2,8,3,18,3,15,18,18,2,8,3,18,5,8,3,18,2,8,1,18,8,8,8,18,3,8,13,10,6,8,47,10,9,8,7,10,11,8,11,10,17,8,7,10,2,8,34,10,5,8,4,10,1,8,8,10,6,8,16,10,2,8,11,10,16,8,24,10,1,8,2,10,7,8,1,10,16,8,10,10,3,8,19,18,4,8,4,10,2,8,1,10,1,4,2,19,3,4,35,10,1,8,1,10,7,8,2,10,8,8,2,10,3,8,2,10,18,8,2,10,14,8,4,10,5,8,5,10,10,4,1,19,5,4,50,18,5,8,32,10,2,8,27,7,1,14,2,7,1,8,3,18,1,3,1,18,2,4,3,19,6,4,75,10,50,8,5,10,78,8,1,10,35,8,4,18,2,4,2,19,6,4,672,},
{4,656,19,9,4,1,9,1,8,10,10,1,8,3,10,2,18,3,10,13,18,4,15,1,14,2,15,1,8,1,10,2,8,1,15,1,14,7,15,1,8,1,10,4,9,2,8,2,15,2,14,1,15,1,18,2,15,2,14,6,15,1,8,1,15,1,14,14,15,5,8,2,15,3,8,3,9,1,8,2,18,1,15,1,14,5,18,1,8,1,10,2,8,2,15,1,14,4,15,1,8,2,15,2,14,1,3,1,16,1,3,1,14,22,16,4,14,4,15,1,8,2,10,1,8,1,15,1,16,7,14,1,15,1,14,1,16,8,14,7,17,1,14,1,15,2,8,1,15,1,14,4,16,3,14,13,15,1,14,15,17,1,16,10,14,11,16,12,14,10,15,1,14,4,15,3,14,10,15,1,14,5,17,2,14,8,15,4,14,3,15,1,9,2,8,1,15,1,14,2,15,1,8,4,15,1,14,6,17,1,14,9,16,2,14,8,15,1,8,2,15,2,14,5,8,2,7,1,14,1,15,2,8,1,15,1,14,4,15,1,14,3,18,1,8,1,10,11,8,2,18,1,14,2,18,1,8,1,10,2,18,1,3,3,8,1,10,2,9,1,15,1,14,2,18,1,15,1,18,1,8,5,10,5,8,1,18,1,8,2,10,3,8,1,18,2,8,1,10,2,8,1,18,2,8,1,10,4,8,1,15,1,14,2,15,2,8,2,10,3,8,2,18,1,15,2,14,8,17,1,16,22,6,2,16,16,14,1,15,2,8,6,9,1,10,3,8,3,10,1,8,1,14,6,16,2,17,2,16,4,17,3,16,7,17,1,16,5,17,1,14,31,15,3,14,3,15,1,8,3,15,4,14,4,15,1,8,2,10,12,8,8,18,1,15,11,14,19,15,4,14,28,15,4,14,2,15,3,14,4,15,2,14,4,15,1,14,3,18,2,8,1,10,2,8,1,18,5,14,2,15,1,18,1,15,4,18,2,8,4,18,3,15,19,18,25,8,5,18,5,8,12,10,6,8,7,10,1,8,39,10,9,8,7,10,11,8,10,10,17,8,7,10,5,8,5,10,2,8,20,10,2,8,4,10,5,8,3,10,1,8,10,10,1,8,19,10,2,8,11,10,16,8,27,10,7,8,1,10,4,8,1,10,11,8,10,10,3,8,13,18,2,8,4,18,4,8,3,10,5,4,1,19,4,4,35,10,1,8,2,10,16,8,2,10,38,8,4,10,6,8,5,10,9,9,1,4,2,19,4,4,50,18,5,8,44,10,2,8,14,7,1,14,3,8,2,10,2,18,3,4,5,19,5,4,75,10,17,8,3,10,3,8,2,10,26,8,5,10,14,8,1,10,4,8,2,10,56,8,1,10,35,8,3,18,3,4,2,19,8,4,670,},
{4,656,19,7,4,3,9,1,8,14,10,18,18,2,14,1,18,1,15,3,8,2,10,2,8,1,15,1,14,7,15,1,8,1,10,4,8,4,18,1,15,2,18,4,15,1,14,7,15,2,14,16,15,8,8,4,15,2,14,2,3,3,14,2,15,1,8,1,10,3,8,1,15,1,14,3,15,1,8,3,15,1,14,3,3,1,14,8,16,2,17,1,14,11,16,5,14,5,8,1,9,1,8,1,15,1,14,1,16,7,14,3,16,7,14,10,15,1,8,2,15,1,14,4,16,3,14,12,15,5,14,2,15,1,14,10,16,10,17,1,14,10,17,1,16,2,17,3,16,6,17,1,14,14,15,3,14,26,15,4,14,2,15,2,8,2,15,1,14,3,8,1,9,3,8,1,15,1,14,6,16,1,14,9,16,2,14,4,3,1,14,3,15,1,8,3,15,2,14,4,15,1,8,1,14,3,15,2,14,10,18,2,8,2,10,9,8,1,18,1,14,2,18,1,10,2,8,1,14,1,3,2,18,1,10,3,18,1,14,2,18,2,8,2,10,10,8,1,18,1,8,1,10,3,8,1,18,2,8,1,10,3,8,1,15,1,18,1,8,1,10,4,8,1,15,1,14,3,15,1,8,2,10,3,8,2,15,3,8,1,15,3,14,4,16,23,7,2,16,16,14,1,15,2,8,7,10,2,9,1,8,1,18,1,8,1,10,1,8,1,14,2,17,2,14,2,16,2,17,2,16,5,17,1,16,13,17,2,14,37,15,2,8,2,15,1,14,6,15,1,8,3,10,18,8,3,15,1,14,1,15,9,14,50,15,5,14,1,15,4,14,4,15,3,14,2,15,1,18,5,8,1,10,4,8,2,10,2,8,1,18,4,15,1,18,1,15,1,18,3,8,5,18,2,15,2,14,1,15,16,18,5,15,1,18,5,8,1,18,13,8,5,18,6,8,11,10,6,8,7,10,1,8,39,10,10,8,4,10,12,8,11,10,17,8,7,10,5,8,5,10,2,8,20,10,2,8,5,10,4,8,18,10,4,8,11,10,3,8,11,10,15,8,27,10,8,8,6,10,11,8,9,10,5,8,12,18,5,8,7,10,2,8,2,10,1,4,2,19,3,4,30,19,5,4,1,18,1,8,2,10,57,8,3,10,6,8,5,10,9,9,1,4,14,19,12,4,30,18,5,8,44,10,1,8,11,18,3,8,1,7,1,14,3,8,2,10,1,18,1,4,75,19,5,4,7,10,17,8,10,10,26,8,6,10,11,8,2,10,4,8,1,10,94,8,2,18,3,4,3,19,8,4,669,},
{4,656,19,7,4,2,10,1,8,7,10,1,8,7,10,18,8,1,18,1,14,1,15,1,18,1,8,4,10,1,8,2,14,9,8,9,18,1,15,2,18,3,15,1,14,2,15,2,14,4,15,2,14,16,15,7,8,4,15,2,14,3,3,3,14,2,18,1,8,1,10,3,8,2,15,1,14,2,15,1,8,1,9,1,8,1,15,1,14,1,17,1,3,1,14,8,17,1,16,3,14,11,16,5,14,5,8,2,14,2,16,7,14,2,17,1,16,7,17,1,14,10,15,4,14,3,17,1,16,2,14,13,15,1,8,4,15,4,14,9,16,12,14,10,17,7,16,4,17,1,14,43,15,4,14,1,15,3,14,5,15,1,9,1,10,2,9,1,8,1,15,1,14,6,17,1,14,9,16,2,14,3,3,4,14,1,15,2,8,3,15,2,14,3,15,2,14,7,16,1,17,1,14,7,3,1,14,1,18,1,8,1,10,8,8,1,18,1,14,1,18,1,8,1,10,2,18,1,14,2,18,1,10,3,8,1,14,3,18,1,8,2,10,11,18,2,8,1,10,3,8,3,10,4,8,1,15,1,18,1,8,1,10,4,8,1,15,1,14,3,15,1,8,2,10,3,8,8,15,2,14,2,17,1,16,22,17,1,7,2,16,13,17,1,16,2,14,2,15,1,8,2,15,2,18,2,8,1,10,2,8,2,18,1,8,1,10,1,8,1,14,6,16,2,17,2,16,19,17,1,14,9,3,1,14,29,15,1,8,2,15,2,14,5,15,1,8,2,10,20,8,2,18,1,15,10,14,49,15,9,8,1,15,1,14,3,15,4,14,2,15,2,18,5,8,1,10,8,18,4,15,3,18,4,8,2,18,3,15,2,14,4,15,13,18,2,8,2,18,2,15,1,18,1,15,1,18,18,8,4,18,4,8,1,18,3,8,9,10,5,8,8,10,1,8,39,10,10,8,4,10,12,8,10,10,18,8,5,10,7,8,6,10,1,8,20,10,1,8,6,10,5,8,17,10,6,8,9,10,3,8,5,10,1,8,5,10,14,8,8,10,5,8,14,10,7,8,10,10,8,8,9,10,6,8,12,18,1,14,1,7,1,18,2,8,6,10,3,8,2,18,1,4,2,19,1,4,32,19,5,4,2,8,3,10,29,8,5,10,22,8,2,10,7,8,6,10,8,9,1,4,14,19,12,4,31,18,4,8,55,18,2,14,5,15,1,18,1,8,1,18,2,4,76,19,6,4,5,10,4,8,2,10,12,8,10,10,2,8,1,10,2,8,3,10,19,8,7,10,9,8,2,10,3,8,3,10,93,8,2,18,3,10,1,4,2,19,9,4,668,},
{4,655,19,7,4,2,10,1,8,15,10,19,8,1,18,1,14,2,18,1,8,1,10,2,8,3,15,1,14,9,15,1,8,8,18,1,15,2,18,3,15,1,14,2,15,4,14,2,15,1,14,17,15,4,14,1,15,1,8,5,15,2,14,3,3,3,14,2,8,2,10,3,9,1,8,1,15,1,14,2,15,1,8,1,9,1,8,1,14,2,16,1,3,1,14,8,16,3,14,12,16,4,3,1,14,4,15,1,8,1,15,1,17,1,16,7,14,2,16,9,14,16,17,1,14,12,3,1,14,4,15,1,8,5,15,5,14,8,17,1,16,10,17,1,14,16,17,4,14,44,15,4,14,1,15,3,14,1,3,2,14,2,15,1,9,1,10,2,9,1,8,1,15,1,14,16,16,3,14,2,3,1,16,2,3,1,14,2,15,2,8,2,15,3,14,2,15,2,14,6,3,1,16,2,17,1,14,5,3,4,18,1,8,1,10,7,8,1,18,2,8,2,10,1,8,1,14,3,10,4,18,1,3,2,14,1,18,1,8,1,10,12,18,2,8,1,10,10,8,3,10,4,8,2,15,1,14,3,15,1,8,2,10,3,8,8,15,1,14,4,17,1,16,4,17,1,16,15,17,1,6,1,7,1,14,1,16,12,17,1,14,1,17,2,14,2,15,6,18,1,8,1,10,2,8,4,10,1,8,1,14,5,17,1,16,23,17,1,14,9,3,2,14,28,15,1,8,3,15,1,14,5,8,2,10,22,8,3,15,8,14,50,15,4,18,1,15,7,14,2,15,4,14,2,15,3,14,4,18,1,10,5,8,3,18,4,15,2,18,1,15,2,18,5,15,3,14,6,15,6,18,7,8,4,18,5,8,4,18,12,8,6,18,2,8,3,18,2,8,22,10,1,8,39,10,1,8,1,10,9,8,3,10,11,8,9,10,20,8,4,10,8,8,34,10,6,8,3,10,5,8,8,10,6,8,10,10,1,8,5,10,3,8,4,10,14,8,7,10,8,8,12,10,2,8,1,10,4,8,10,10,8,8,10,10,4,8,3,10,2,8,8,18,1,14,2,18,2,8,6,10,3,8,2,18,1,4,12,19,5,4,18,19,5,4,1,18,1,8,2,10,28,8,7,10,33,8,5,10,7,8,1,4,14,19,12,4,31,18,4,8,39,10,2,8,6,10,2,8,6,18,1,14,5,7,1,8,1,18,5,4,72,19,9,4,3,18,2,10,3,8,3,10,12,8,9,10,3,8,1,10,2,8,4,10,20,8,9,10,5,8,2,10,2,8,5,10,93,8,2,18,2,10,2,4,2,19,9,4,667,},
{4,655,19,7,4,2,8,15,10,21,18,1,14,2,18,1,10,3,8,2,15,1,14,5,15,1,14,5,15,1,8,5,18,3,14,1,15,1,18,1,8,2,18,1,15,1,14,1,15,2,8,1,15,2,14,19,15,4,14,1,15,1,8,6,15,1,14,5,3,1,14,2,8,2,10,3,8,2,15,1,14,2,15,1,8,2,15,1,14,1,16,2,3,1,14,6,3,1,16,3,14,7,17,1,14,5,3,1,16,2,14,5,15,3,14,1,16,7,14,3,16,6,17,1,14,16,17,1,16,3,14,11,3,1,14,4,15,1,8,6,15,5,14,9,16,10,14,11,17,1,14,58,15,1,14,1,3,3,14,2,15,1,9,1,10,2,9,1,8,1,15,1,14,17,16,2,3,3,16,3,3,1,14,2,15,1,8,5,15,4,14,6,16,4,14,5,3,4,18,1,8,1,10,6,8,1,18,2,8,1,10,2,8,1,18,1,14,2,8,1,10,3,9,1,14,1,3,2,14,1,18,1,10,13,8,2,10,10,9,1,8,2,10,4,8,3,18,1,15,1,14,2,15,1,8,2,10,1,8,4,10,3,8,2,15,2,14,4,17,2,16,10,17,1,16,7,17,2,6,1,7,1,6,1,16,12,14,7,15,3,14,2,15,1,18,1,9,1,10,1,8,4,9,1,8,1,14,4,17,1,16,24,17,2,14,29,17,2,3,1,14,6,15,1,8,3,15,1,14,4,15,1,8,2,10,24,8,1,15,1,14,2,15,5,14,49,15,5,18,1,15,14,14,3,15,1,14,3,3,1,18,1,10,5,8,3,18,4,15,1,18,3,15,1,18,1,15,7,14,5,15,8,18,5,8,6,18,4,8,28,18,2,8,26,10,3,8,35,10,8,8,3,10,11,8,7,10,34,8,34,10,7,8,1,10,7,8,5,10,8,8,10,10,1,8,4,10,5,8,2,10,5,8,1,10,9,8,6,10,11,8,2,10,2,8,2,10,1,8,3,10,2,8,2,10,2,8,12,10,7,8,11,10,2,8,4,10,2,8,9,18,3,8,7,10,3,8,2,18,1,4,11,19,7,4,17,19,5,4,1,18,1,10,24,8,3,10,1,8,9,10,34,8,5,10,6,8,1,4,14,19,2,4,5,19,5,4,31,18,3,8,39,10,4,8,5,10,3,8,5,18,1,14,3,3,1,14,2,18,2,4,75,19,10,4,2,10,1,8,3,10,3,8,1,10,9,8,2,10,4,8,6,10,7,8,4,10,21,8,9,10,4,8,2,10,2,8,5,10,94,8,3,10,2,4,3,19,5,4,1,19,5,4,664,},
{4,654,19,8,4,2,9,1,8,14,10,21,18,1,14,2,8,1,10,2,8,3,15,1,14,5,15,1,14,2,15,1,14,2,15,1,8,5,18,3,14,1,18,1,8,4,15,3,8,3,15,1,14,19,15,4,14,1,15,1,8,4,9,1,8,2,15,2,14,5,15,1,8,1,10,2,8,4,15,1,14,2,15,3,14,2,16,2,14,7,16,3,14,15,3,1,14,5,15,1,8,2,15,1,16,7,14,4,16,2,17,1,14,8,17,2,14,4,15,1,14,4,16,5,14,11,3,1,14,4,15,2,8,5,15,5,14,9,17,1,16,9,17,2,14,7,17,4,14,13,17,2,14,42,15,1,14,1,3,3,14,2,15,1,9,1,10,1,9,1,8,2,15,1,14,19,3,4,16,1,3,2,14,2,15,2,18,1,8,3,15,1,8,2,15,1,14,5,3,1,16,3,17,1,14,5,18,1,3,2,14,1,18,2,8,1,10,5,8,1,18,2,8,1,10,2,8,1,18,3,10,4,18,1,14,1,3,2,14,1,8,1,10,14,8,1,10,9,8,3,10,4,9,1,8,5,18,1,15,1,18,1,8,1,10,2,8,2,18,1,8,1,10,3,8,1,15,1,14,7,17,1,16,10,17,1,16,6,17,1,6,1,17,4,16,12,14,8,15,2,14,3,18,1,8,1,9,1,8,5,15,1,14,4,17,1,16,6,17,1,16,17,17,4,3,1,14,5,3,1,14,20,17,3,14,6,15,2,8,2,15,1,14,4,15,1,8,2,10,24,8,2,14,4,15,4,14,5,15,1,14,27,15,2,14,12,15,22,14,2,18,3,14,1,3,1,18,1,10,5,8,4,18,8,15,6,14,1,15,1,14,5,15,6,18,7,8,6,18,4,8,28,18,2,8,24,10,5,8,35,10,8,8,3,10,11,8,7,10,34,8,34,10,15,8,4,10,8,8,11,10,2,8,2,10,6,8,2,10,5,8,1,10,10,8,4,10,12,8,2,10,2,8,6,10,2,8,2,10,2,8,14,10,6,8,16,10,2,8,19,10,3,8,1,18,2,4,11,19,7,4,17,19,5,4,1,18,1,10,23,8,14,10,34,8,7,10,4,9,1,18,1,4,23,19,2,4,31,18,3,8,39,10,4,8,5,10,3,8,5,18,1,14,3,3,1,14,2,18,1,4,52,19,8,4,16,19,7,4,4,10,2,8,3,10,12,8,4,10,16,8,3,10,23,8,8,10,9,8,3,10,7,8,1,10,7,8,3,10,78,8,2,10,2,4,10,19,5,4,663,},
{4,654,19,7,4,2,18,1,8,14,10,21,8,1,18,1,14,1,15,1,8,7,15,1,14,3,15,8,8,1,10,3,8,3,18,3,10,4,8,4,10,1,9,1,8,1,15,1,14,8,15,2,14,8,15,4,14,2,15,1,8,3,9,2,8,1,15,2,14,5,15,1,9,1,10,2,8,4,15,2,14,5,16,3,14,6,16,4,14,8,16,1,17,1,14,9,15,3,8,1,15,1,14,1,16,5,17,1,14,4,16,3,14,19,16,6,14,16,15,2,8,5,15,5,14,6,15,1,14,3,17,3,16,3,17,2,16,6,17,1,14,2,17,2,16,3,17,2,14,57,3,3,14,2,15,1,8,1,9,1,8,4,15,1,14,19,3,5,14,2,15,2,18,1,15,1,18,2,8,1,15,1,8,3,15,1,14,3,3,4,17,1,3,1,14,4,18,7,8,2,10,4,8,3,10,3,8,1,18,1,8,1,10,4,18,1,14,3,3,1,14,1,8,1,10,3,8,4,10,16,8,3,10,5,8,7,18,1,14,1,15,1,8,1,10,1,18,1,15,1,18,1,8,1,10,3,8,1,15,1,14,5,16,21,17,2,16,14,17,2,14,8,15,1,14,3,15,1,18,1,8,1,18,2,8,3,15,1,14,1,3,1,14,2,16,23,17,4,16,2,3,3,14,3,3,2,14,20,17,1,3,1,14,7,15,5,14,3,15,1,8,2,10,24,8,2,14,5,15,3,14,5,15,2,14,25,15,3,14,11,15,18,14,1,15,4,14,2,18,2,8,1,18,1,14,1,18,1,10,5,8,4,18,1,8,5,18,3,15,2,14,3,15,3,14,2,15,1,14,1,15,11,18,2,8,6,18,4,8,3,18,2,8,22,18,4,8,23,10,5,8,36,10,7,8,3,10,11,8,6,10,36,8,32,10,16,8,4,10,9,8,10,10,3,8,1,10,6,8,3,10,4,8,1,10,11,8,3,10,12,8,2,10,1,8,9,10,2,8,15,10,7,8,10,10,2,8,25,10,3,8,1,18,2,4,11,19,7,4,17,19,4,4,2,18,1,10,23,8,13,10,38,8,4,10,3,8,2,4,17,18,4,8,1,10,1,4,34,18,3,8,40,10,2,8,5,10,4,8,5,18,1,14,3,3,3,18,1,4,52,19,9,4,15,19,6,4,3,10,6,8,1,10,13,8,3,10,16,8,3,10,6,8,3,10,15,8,7,10,10,8,1,10,7,8,4,10,5,8,3,10,41,8,2,10,40,4,9,19,5,4,663,},
{4,654,19,6,4,3,9,1,10,2,8,13,10,20,18,1,15,1,14,1,18,1,8,2,15,1,8,5,15,2,14,1,15,7,8,1,10,5,8,2,18,3,10,6,8,2,10,2,8,1,15,2,14,6,15,3,14,8,15,1,8,1,15,2,14,2,15,3,8,3,15,2,14,6,8,1,10,3,8,4,15,3,14,3,16,3,14,2,15,2,14,3,16,4,14,8,16,2,14,9,15,5,14,1,16,4,17,1,14,4,16,3,14,1,17,1,14,17,17,1,16,3,17,1,14,7,17,1,14,10,15,3,8,4,15,4,14,11,17,5,14,3,17,1,16,6,14,2,17,1,16,6,17,4,16,5,14,48,3,2,14,4,8,1,9,1,8,1,9,2,8,1,15,1,14,15,15,2,14,2,3,5,14,1,15,1,18,5,15,4,8,2,15,1,14,3,3,2,14,8,18,1,10,3,8,1,18,3,8,1,10,10,8,2,10,4,18,1,14,1,3,1,14,2,3,1,14,1,8,1,10,3,18,4,8,1,10,1,8,2,10,1,8,3,10,6,8,2,15,1,18,1,10,5,8,2,9,1,10,4,8,1,15,1,14,2,8,2,15,2,8,1,10,3,8,2,15,1,14,3,16,39,17,1,16,1,17,1,14,2,17,2,14,3,15,1,14,4,15,1,18,1,15,1,18,1,8,3,14,2,17,1,14,1,17,1,16,22,17,4,16,4,3,2,14,4,3,1,14,11,17,2,14,8,3,1,14,8,15,4,14,3,15,1,8,2,10,1,8,2,10,21,8,2,14,4,15,4,14,5,15,2,14,24,15,3,14,10,15,19,14,3,15,1,8,2,15,1,14,2,15,1,8,1,18,1,14,2,8,1,10,4,8,3,18,3,8,5,18,2,15,2,14,3,15,3,14,4,15,4,18,2,15,5,18,2,8,5,18,5,8,1,18,4,8,22,18,4,8,16,10,1,8,6,10,6,8,36,10,6,8,3,10,11,8,6,10,36,8,4,10,2,8,16,10,3,8,5,10,18,8,4,10,11,8,7,10,4,8,1,10,6,8,3,10,17,8,3,10,10,8,9,10,2,8,2,10,2,8,14,10,8,8,10,10,3,8,24,10,3,8,1,18,2,4,11,19,7,4,23,10,25,8,1,10,2,8,8,10,41,8,1,10,4,8,1,9,1,4,16,18,5,8,1,18,1,4,4,19,2,4,28,18,3,8,34,10,2,8,11,10,2,8,7,18,1,14,5,3,1,18,1,4,4,19,3,4,45,19,9,4,16,19,4,4,2,18,2,8,1,10,5,8,2,10,4,8,5,10,4,8,2,10,3,8,1,10,4,8,3,10,5,8,4,10,4,8,6,10,14,8,6,10,18,8,5,10,4,8,4,10,39,8,3,10,44,4,5,19,4,4,19,19,2,4,643,},
{4,654,19,6,4,2,10,1,8,18,10,17,9,1,18,4,15,1,14,2,15,1,8,1,10,3,8,1,15,7,18,1,8,2,10,7,8,3,10,10,8,1,15,2,14,6,15,3,14,8,15,4,14,5,15,1,8,2,15,1,14,4,3,1,14,2,8,1,10,3,9,1,8,3,15,1,14,5,16,3,14,2,15,1,14,4,16,3,14,6,17,1,14,2,16,2,14,9,15,3,14,2,3,1,16,4,14,5,16,2,17,1,14,1,17,1,16,2,17,1,14,14,17,1,16,3,14,8,17,1,14,12,15,3,8,2,15,2,14,21,16,7,17,1,14,1,17,1,16,15,17,1,14,48,3,1,14,3,15,2,8,5,15,1,14,2,3,1,14,8,16,2,3,1,14,2,15,2,14,2,3,3,14,2,15,10,8,1,15,2,14,13,8,1,10,4,8,1,18,1,14,1,18,1,8,1,10,9,8,1,10,4,8,1,14,1,3,3,14,3,8,1,10,2,8,1,18,1,14,1,18,2,8,2,18,1,8,5,10,2,9,1,8,1,10,1,8,1,18,1,14,3,8,1,10,3,8,3,10,5,9,1,18,1,14,2,8,2,15,2,8,4,15,3,14,2,3,1,16,39,17,1,16,2,17,1,14,1,17,2,14,3,15,2,14,4,15,2,18,1,8,3,15,1,14,3,17,1,16,23,17,4,16,5,3,1,14,3,3,1,14,12,17,1,14,17,15,5,14,3,15,1,8,1,10,1,8,2,10,21,8,2,15,9,14,4,15,1,14,11,15,1,14,26,15,14,14,1,15,4,14,2,15,2,8,2,15,1,14,3,8,1,18,1,14,2,18,1,8,6,18,4,8,4,18,3,15,2,14,2,15,2,18,2,15,5,18,2,15,3,18,7,8,5,18,2,15,2,18,7,8,21,18,4,8,23,10,5,8,36,10,7,8,3,10,5,8,1,10,5,8,6,10,43,8,16,10,1,8,6,10,19,8,2,10,15,8,4,10,4,8,1,10,5,8,5,10,3,8,1,10,25,8,10,10,1,8,2,10,2,8,11,10,4,8,3,10,5,8,1,10,1,8,5,10,4,8,25,10,3,8,1,18,2,4,11,19,7,4,23,10,28,8,7,10,36,8,1,10,8,8,3,9,1,18,1,4,14,18,5,8,2,18,1,4,4,19,5,4,25,18,3,8,13,10,1,8,33,10,2,8,8,15,1,14,3,18,1,3,1,18,1,4,2,19,6,4,45,19,8,4,21,18,1,8,3,10,5,8,3,10,4,8,3,10,5,8,3,10,1,8,3,10,3,8,4,10,4,8,12,10,1,8,2,10,4,8,5,10,5,8,6,10,18,8,4,10,3,8,5,10,39,8,3,10,45,4,5,19,3,4,18,19,5,4,641,},
{4,654,19,6,4,2,9,1,8,9,10,1,8,5,10,1,8,2,10,5,8,2,10,11,8,2,18,2,15,1,14,2,8,1,10,4,9,1,8,1,18,7,8,1,10,18,9,5,8,1,14,1,3,3,14,13,15,4,14,5,15,2,8,1,15,1,14,2,3,4,14,1,10,5,8,2,15,1,14,5,3,1,14,10,16,1,17,1,14,22,15,2,14,2,16,5,3,2,14,4,3,1,16,2,3,1,16,2,3,1,14,14,17,1,16,3,17,1,14,22,15,4,14,21,16,26,17,3,14,11,15,2,14,27,3,4,14,3,3,1,14,2,15,1,8,2,15,3,14,12,17,1,16,4,14,11,15,5,8,3,15,1,14,11,3,2,14,2,15,1,8,1,10,4,8,1,18,1,14,2,18,1,8,1,10,13,8,1,18,1,14,1,3,3,14,1,18,7,8,2,18,2,14,1,18,1,8,1,9,1,8,2,10,2,8,4,15,1,14,3,15,1,8,3,15,2,8,1,10,1,8,2,10,3,8,1,15,3,8,1,15,2,8,2,15,1,14,6,16,43,17,2,14,6,15,4,14,1,15,2,18,1,8,1,9,1,8,1,15,1,14,2,17,1,16,2,17,2,16,20,17,5,16,5,17,3,16,1,17,2,14,1,17,1,14,3,17,3,14,3,17,3,14,14,15,2,8,1,15,2,8,1,15,1,14,2,8,1,10,7,8,1,10,16,8,2,15,1,8,1,15,11,14,38,15,12,14,4,15,14,18,1,15,1,14,2,15,1,18,17,15,2,14,1,15,1,18,12,14,2,18,1,8,3,18,5,8,3,18,7,8,24,18,6,8,22,10,4,8,33,10,11,8,15,10,3,8,4,10,7,8,2,10,32,8,28,10,27,8,1,10,3,8,5,10,3,8,10,10,3,8,4,10,24,8,1,10,6,8,4,10,2,8,11,10,5,8,9,10,1,8,5,10,2,8,28,10,2,8,1,18,2,4,41,10,28,8,3,10,3,8,3,10,15,8,5,10,15,8,1,10,4,4,1,10,2,8,3,9,1,18,1,4,13,18,6,8,2,18,2,4,3,19,5,4,25,18,3,8,8,10,2,8,32,10,2,8,6,10,4,8,3,18,1,14,1,18,5,4,2,19,6,4,74,10,1,8,2,10,7,8,2,10,11,8,8,10,4,8,5,10,2,8,2,10,2,8,6,10,4,8,3,10,1,8,7,10,3,8,9,10,16,8,3,10,3,8,3,10,41,8,5,10,44,4,26,19,5,4,641,},
{4,654,19,6,4,2,8,9,10,10,8,1,10,18,8,3,18,1,15,2,8,1,10,5,8,1,18,5,14,1,18,1,8,1,10,18,9,1,8,1,9,1,10,2,8,1,14,1,3,3,14,10,15,1,14,4,15,3,14,5,15,3,14,2,3,3,14,1,15,1,10,4,9,1,8,1,15,1,14,15,17,2,14,27,3,1,16,3,3,4,14,4,3,2,16,4,14,19,17,1,14,23,15,2,14,22,16,13,17,2,16,5,17,2,16,5,17,3,14,9,7,1,8,1,15,1,14,27,3,1,16,2,3,1,14,6,15,1,8,2,15,1,14,12,17,1,16,6,17,1,14,3,7,1,15,1,14,5,15,3,8,5,15,1,14,15,15,1,8,2,10,3,8,1,18,2,14,1,18,1,8,1,10,4,8,2,10,6,8,2,18,2,14,1,3,1,14,1,18,1,8,1,18,5,8,1,10,2,18,1,14,2,15,1,8,1,10,1,8,2,10,2,8,2,10,1,8,1,15,1,14,8,15,1,8,2,15,2,8,5,15,7,14,6,17,1,16,19,17,1,16,24,17,1,14,7,15,1,18,2,15,2,18,1,8,4,15,1,14,2,17,1,16,1,17,4,16,19,17,2,14,2,17,2,16,5,17,4,14,2,17,2,14,2,17,1,16,2,14,4,17,3,14,13,15,2,8,5,14,2,8,2,10,6,8,2,10,16,8,5,15,2,14,1,15,6,14,9,15,2,14,1,15,1,14,27,15,10,14,4,15,12,18,1,15,5,14,7,15,2,18,1,15,2,18,6,15,3,18,4,8,1,18,4,8,2,18,2,14,2,18,1,8,3,18,4,8,4,18,6,8,25,18,6,8,59,10,12,8,13,10,5,8,3,10,7,8,2,10,23,8,1,10,6,8,33,10,5,8,1,10,22,8,5,10,4,8,8,10,4,8,5,10,31,8,2,10,3,8,2,18,1,8,7,10,6,8,9,10,3,8,3,10,1,8,23,10,1,8,8,18,1,4,41,10,29,8,2,10,4,8,3,10,15,8,5,10,9,8,2,10,4,8,2,10,3,4,2,10,1,8,4,10,1,18,1,4,3,10,3,18,9,8,6,18,3,4,2,19,4,4,25,18,3,8,8,10,2,8,38,10,5,8,4,18,6,4,3,19,6,4,30,18,2,4,8,18,9,4,10,10,2,18,5,10,1,8,3,10,5,8,1,10,4,8,1,10,16,8,8,10,6,8,3,10,7,8,4,10,5,8,11,10,3,8,9,10,9,8,2,10,6,8,2,10,2,8,4,10,40,8,6,10,46,18,1,4,23,19,6,4,640,},
{4,654,19,5,4,3,9,1,8,11,10,27,8,4,9,3,10,4,9,1,8,3,18,2,3,1,14,1,18,1,10,19,9,2,10,2,9,1,15,1,14,1,3,1,14,9,15,1,14,6,15,5,14,3,15,2,14,7,8,1,10,4,8,1,15,1,14,4,15,2,14,11,17,2,14,27,16,3,3,5,14,3,3,2,16,3,3,1,14,2,15,1,14,65,16,10,17,4,16,5,17,3,16,6,17,1,14,9,7,2,14,28,3,3,14,6,15,2,8,2,15,1,14,12,16,5,17,1,14,4,15,2,18,2,15,6,8,6,14,6,15,4,14,5,15,2,8,7,18,3,8,1,10,3,8,3,10,6,8,1,18,6,8,3,18,4,8,1,10,2,8,1,18,1,14,1,15,1,8,1,10,9,8,1,15,1,14,1,3,2,14,5,15,1,14,3,15,1,8,7,15,5,14,4,16,20,17,3,16,23,17,1,14,7,15,2,18,1,15,2,18,2,8,1,15,2,14,3,17,6,16,19,17,3,14,2,17,4,16,1,17,5,14,2,17,2,14,2,17,1,16,1,17,1,14,4,17,1,14,15,15,2,8,5,14,2,8,5,10,21,8,4,15,3,14,1,15,5,14,8,15,9,14,24,15,2,14,2,15,5,14,5,15,18,14,7,15,3,18,21,8,2,18,5,8,1,18,5,8,4,18,5,8,6,18,1,8,21,18,3,8,60,10,14,8,8,10,41,8,4,10,4,8,14,10,1,8,20,10,3,8,3,10,23,8,2,10,6,8,6,10,5,8,4,10,32,8,2,10,3,8,10,10,7,8,7,10,6,8,34,18,2,4,31,19,6,4,2,10,30,8,2,10,4,8,2,10,16,8,5,10,8,8,4,10,2,8,3,10,6,8,5,10,7,18,9,8,6,18,3,4,2,19,4,4,25,18,3,8,47,10,5,8,3,18,6,4,5,19,6,4,17,19,3,4,6,10,11,18,13,8,1,10,5,9,2,10,3,8,9,10,4,8,1,10,22,8,8,10,6,8,3,10,7,8,3,10,12,8,2,10,10,8,6,10,16,8,2,10,2,8,4,10,35,8,1,10,5,8,5,10,50,4,20,19,6,4,640,},
{4,654,19,5,4,3,9,1,8,12,10,32,8,3,9,1,10,4,9,1,8,1,18,1,14,1,18,1,8,1,10,14,9,2,10,7,9,1,15,1,14,4,15,2,14,2,15,6,14,4,15,6,14,2,15,1,14,6,15,1,8,2,10,2,9,1,8,1,15,1,14,5,15,3,14,36,15,2,14,1,3,1,16,1,3,1,14,3,3,1,16,1,14,2,3,1,16,1,3,1,16,3,14,2,15,2,14,31,15,3,14,31,16,8,17,6,16,6,17,2,16,6,17,1,14,13,3,1,16,3,14,22,3,2,14,3,15,5,8,2,15,1,14,3,3,1,14,2,3,1,14,5,17,1,16,4,17,1,14,5,15,1,8,4,18,2,8,1,15,1,8,4,15,3,14,2,3,1,14,2,15,1,8,4,15,1,14,3,15,3,18,3,8,14,10,5,8,1,18,3,8,4,10,1,8,2,18,4,8,1,10,2,8,1,18,1,14,1,15,1,8,1,10,9,9,1,8,1,15,1,14,1,3,1,16,3,3,1,14,3,3,2,14,2,15,1,8,5,15,1,14,2,15,3,14,3,16,6,3,1,16,13,6,1,14,1,17,2,16,22,17,1,14,8,15,1,18,3,8,1,15,2,14,6,17,2,16,3,17,1,16,19,17,3,14,4,17,4,14,4,17,3,14,2,17,3,14,21,15,2,8,4,15,3,8,1,18,1,8,2,10,22,8,3,15,3,14,1,15,3,14,5,15,14,14,28,15,5,14,5,15,3,14,8,15,5,14,7,15,1,14,1,15,3,18,23,8,1,18,10,8,4,18,4,8,7,18,1,8,1,18,1,8,10,18,2,8,8,18,2,8,6,18,1,8,53,10,1,8,1,10,61,8,5,10,3,8,14,10,1,8,27,10,31,8,5,10,7,8,1,10,38,8,11,10,7,8,5,10,7,8,33,18,2,4,32,19,6,4,2,10,54,8,5,10,8,8,8,10,3,8,9,10,7,18,9,8,6,18,3,4,2,19,5,4,25,18,3,8,46,10,4,8,3,18,7,4,6,19,4,4,14,19,7,4,4,10,8,8,8,18,8,8,5,10,8,8,5,10,2,8,2,10,22,8,1,10,4,8,4,10,49,8,4,10,20,8,3,10,35,8,3,10,4,8,5,10,51,4,20,19,5,4,640,},
{4,650,19,6,4,6,9,1,8,10,18,1,10,32,9,1,8,3,10,6,9,1,18,3,10,15,9,2,10,7,9,1,15,1,14,4,15,11,14,4,15,5,14,8,15,1,8,2,10,2,9,1,15,1,14,8,15,1,14,37,15,2,14,2,16,1,3,1,14,3,3,1,16,1,3,2,16,5,14,3,15,3,14,17,17,3,14,10,15,4,14,30,16,7,17,6,16,15,17,2,14,3,7,2,14,7,3,1,16,3,14,8,17,2,14,16,15,2,8,6,15,1,14,3,3,1,14,7,3,1,16,5,14,6,15,1,8,5,15,8,14,4,3,1,14,2,15,1,8,4,15,1,14,2,15,2,8,3,18,3,8,3,10,1,8,8,10,6,8,1,18,3,8,1,10,3,8,3,18,4,8,1,10,3,8,1,18,2,8,1,10,10,9,1,8,1,14,1,3,1,16,4,3,1,14,2,16,2,14,3,8,5,15,1,14,1,15,5,14,5,17,4,16,5,17,2,16,6,14,3,17,1,16,15,17,3,16,4,17,1,14,8,15,3,18,1,8,2,15,1,14,6,17,2,16,3,17,1,16,20,17,2,14,5,17,1,16,1,17,1,14,4,17,8,14,22,15,1,8,4,15,5,8,2,10,22,8,2,15,2,14,11,15,4,14,2,15,7,14,29,15,1,14,1,15,3,14,5,15,3,14,9,15,4,14,7,15,1,14,1,15,3,18,11,15,1,18,1,15,2,18,7,8,4,18,6,8,16,18,6,8,8,18,3,8,1,18,2,8,4,18,3,8,1,18,6,8,54,10,3,8,1,10,20,8,1,10,8,8,3,10,18,8,2,10,4,8,6,10,3,8,7,10,1,8,1,10,1,8,4,10,5,8,1,10,3,8,12,10,1,8,7,10,28,8,7,10,37,8,1,10,8,8,11,10,7,8,3,10,1,8,1,10,1,8,13,18,3,8,22,18,3,4,3,19,3,4,26,19,6,4,2,10,54,8,4,10,9,8,8,10,3,8,9,10,4,18,1,10,1,8,1,18,8,8,7,18,1,15,1,18,2,4,2,19,5,4,24,18,3,8,28,18,1,8,11,18,3,8,4,10,4,8,3,18,2,8,2,18,2,4,23,19,8,4,4,10,2,8,1,18,3,8,22,18,2,8,1,10,5,8,5,10,3,8,2,10,4,8,1,10,16,8,2,10,5,8,2,10,50,8,5,10,18,8,3,10,36,8,3,10,4,8,4,10,52,4,14,19,5,4,646,},
{4,650,19,6,4,5,18,1,8,11,18,1,10,32,9,1,8,2,10,27,9,2,10,6,9,1,15,1,14,5,15,4,8,3,15,3,14,5,15,3,14,9,8,1,10,4,15,1,14,1,3,1,14,12,15,1,14,31,15,1,8,2,15,1,14,1,16,1,3,1,14,7,3,2,16,2,14,3,15,4,14,14,17,2,16,2,17,1,14,6,3,1,16,1,3,1,14,3,15,4,14,29,16,7,17,5,16,16,17,2,14,2,7,4,14,3,17,2,14,14,17,2,14,15,15,2,8,5,15,1,14,11,3,1,16,4,3,1,14,7,15,2,8,2,15,1,18,1,15,4,14,11,15,1,8,1,10,2,8,1,15,1,14,2,15,1,8,5,18,1,8,3,10,5,8,5,10,6,8,1,18,3,8,1,10,3,8,1,18,1,8,2,18,4,8,1,10,3,8,3,9,1,10,2,8,5,9,1,10,3,8,1,14,1,16,5,3,1,17,1,16,3,14,2,15,1,8,3,15,1,14,2,15,6,14,9,16,5,17,1,16,5,17,1,14,2,17,2,16,15,17,3,16,4,17,1,14,7,15,5,8,2,14,2,3,2,14,4,17,1,16,18,17,1,16,5,17,2,14,5,17,1,16,1,17,1,14,4,17,1,16,1,17,4,14,25,15,1,8,6,15,2,18,1,10,23,8,2,15,1,14,12,15,3,14,4,15,6,14,29,15,1,14,1,15,5,14,1,15,5,14,9,15,6,14,4,15,6,18,3,15,5,18,3,15,1,14,5,18,6,8,3,18,5,8,17,18,7,8,6,18,6,8,7,18,9,8,57,10,20,8,1,10,8,8,4,10,21,8,1,10,1,8,5,10,5,8,5,10,5,8,4,10,5,8,1,10,2,8,21,10,24,8,14,10,33,8,2,10,7,8,12,10,6,8,1,10,1,8,1,10,1,8,15,14,2,18,1,8,22,18,3,4,2,19,4,4,26,19,5,4,3,10,53,8,4,10,10,8,8,10,2,8,10,10,3,18,11,8,8,18,5,4,2,19,4,4,24,18,2,8,41,18,4,8,4,10,4,8,6,18,2,4,23,19,8,4,3,18,2,8,1,18,4,8,11,10,1,8,8,10,1,8,1,18,3,8,2,10,3,8,5,10,3,8,2,10,19,8,4,10,5,8,2,10,53,8,1,10,19,8,2,10,38,8,2,10,60,4,13,19,6,4,646,},
{4,650,19,5,4,4,10,2,8,5,10,1,8,8,10,31,8,2,10,28,9,2,10,6,9,1,15,1,14,5,15,4,8,3,15,3,14,17,8,1,10,3,9,1,14,1,3,1,16,1,3,1,14,11,15,2,14,16,16,2,14,9,17,1,14,2,15,1,8,2,15,1,14,1,3,1,16,1,3,1,14,8,3,1,14,4,15,3,14,14,16,5,14,7,3,1,16,2,14,3,15,2,8,1,15,3,14,27,16,7,17,3,16,6,17,3,16,9,17,2,14,2,7,2,15,1,7,1,14,3,17,2,14,15,17,1,14,12,3,1,14,3,15,6,14,11,3,1,16,4,14,5,17,1,14,3,15,8,14,13,15,1,8,1,10,1,8,2,15,1,14,1,15,1,18,1,8,1,18,1,8,6,10,17,8,1,18,3,8,1,10,2,8,1,18,2,8,2,18,2,14,2,18,1,8,1,10,3,8,11,10,3,9,1,15,1,14,1,16,8,3,1,14,2,15,1,8,2,15,1,14,3,15,2,14,4,15,5,14,4,16,5,17,2,16,4,17,4,16,16,17,3,16,4,17,1,14,7,15,5,8,2,14,2,3,2,17,1,14,3,17,1,16,3,17,1,16,14,17,1,16,5,17,2,14,5,17,1,16,1,17,2,14,3,17,5,14,27,15,2,8,5,15,1,8,1,10,23,8,2,15,1,14,4,15,2,14,5,15,4,14,5,15,5,14,28,15,13,14,10,15,6,14,1,15,2,14,1,15,1,18,6,15,2,14,5,15,3,14,7,18,6,8,2,18,5,8,18,18,6,8,6,18,4,8,9,18,10,8,4,10,1,8,72,10,9,8,2,10,22,8,6,10,7,8,4,10,5,8,4,10,5,8,1,10,1,8,24,10,21,8,16,10,20,8,3,10,9,8,2,10,7,8,12,10,8,8,17,14,2,8,23,18,2,4,3,19,4,4,26,19,5,4,3,10,34,8,2,10,15,8,1,10,1,8,4,10,11,8,7,10,2,8,5,10,1,8,4,10,3,18,10,8,9,18,2,14,1,18,2,4,2,19,4,4,24,18,1,8,28,18,1,8,22,10,5,8,3,18,2,4,22,19,8,4,4,18,8,8,22,18,4,8,1,10,3,8,5,10,3,8,2,10,3,8,2,10,14,8,4,10,5,8,1,10,21,8,1,10,52,8,2,10,100,4,13,19,6,4,646,},
{4,650,19,4,4,4,10,4,8,2,10,3,8,6,10,32,9,1,8,1,10,29,9,2,10,6,8,1,15,2,14,3,15,11,14,16,15,1,8,1,10,3,8,1,14,1,16,3,14,29,16,2,14,8,16,2,17,1,14,1,15,1,9,1,8,1,15,1,14,1,16,3,14,14,15,1,14,14,17,1,16,5,14,13,15,2,8,2,15,2,14,27,17,1,16,3,17,2,14,3,17,1,16,4,17,1,14,3,17,2,16,8,17,2,14,3,7,3,14,20,17,1,16,1,17,1,14,9,3,3,14,9,3,3,14,5,3,2,16,4,14,10,15,7,14,14,15,1,8,3,18,1,15,1,14,1,15,1,18,1,8,1,15,1,18,1,8,1,10,1,8,2,10,19,8,1,18,2,8,1,10,2,8,1,18,2,8,2,18,2,3,2,14,1,18,1,10,4,8,4,18,2,8,1,18,1,15,2,8,1,10,3,8,1,14,2,3,1,16,6,14,4,15,2,14,7,17,1,14,4,15,5,14,3,16,5,17,8,16,24,17,1,14,5,15,5,14,1,15,1,8,1,15,1,14,2,3,1,16,1,17,2,14,1,17,2,16,3,17,1,16,14,17,1,16,3,17,3,14,5,17,2,16,1,17,2,14,4,17,4,14,28,15,1,8,2,10,1,8,2,15,1,8,1,10,3,8,1,10,19,8,2,14,5,15,2,14,5,15,4,14,5,15,5,14,29,15,13,14,8,15,15,18,1,15,2,14,8,15,3,14,6,18,1,8,1,18,2,14,2,18,7,8,2,18,1,8,2,18,2,8,8,18,2,8,3,18,3,8,8,18,2,8,10,18,6,8,2,18,2,8,2,10,5,8,69,10,34,8,5,10,9,8,3,10,5,8,5,10,4,8,1,10,1,8,24,10,21,8,13,10,1,8,2,10,2,8,1,10,17,8,4,10,8,8,2,10,7,8,12,10,9,8,5,10,5,8,6,18,2,8,1,10,4,8,18,18,1,4,3,19,5,4,26,19,5,4,3,10,1,8,3,10,30,8,2,10,14,8,4,10,14,8,7,10,2,8,10,10,3,18,10,8,10,18,1,14,2,18,2,4,1,19,4,4,24,10,1,8,1,18,1,8,24,18,3,8,23,10,4,8,2,18,2,4,19,19,10,4,5,18,3,8,28,18,4,8,1,10,4,8,9,10,2,8,3,10,10,8,7,10,183,4,13,19,6,4,646,},
{4,646,19,7,4,5,10,9,8,5,10,71,9,1,8,1,18,1,15,1,14,2,15,4,14,1,15,7,14,11,15,2,14,3,15,1,10,3,9,1,15,1,3,1,16,3,14,3,15,3,14,22,17,1,16,1,17,1,14,7,17,1,16,2,14,2,15,1,8,2,15,1,14,1,16,3,14,29,17,1,16,5,14,13,15,6,14,37,16,3,17,1,14,5,17,1,16,6,17,4,14,3,7,1,15,3,7,2,14,3,15,1,8,2,15,1,14,9,17,1,16,3,17,1,14,8,16,2,3,1,14,7,3,5,14,2,3,5,16,2,3,2,14,9,15,9,14,9,15,2,14,2,18,1,8,4,18,1,15,1,18,1,8,1,18,3,8,4,10,11,8,3,10,6,8,1,18,1,8,2,10,2,8,5,18,1,14,1,3,2,14,1,8,1,10,3,8,2,18,2,15,1,18,1,8,1,18,1,14,2,8,1,10,3,8,1,15,1,14,2,3,1,16,6,14,6,17,1,16,9,14,2,15,2,8,2,15,1,14,2,16,5,17,7,16,25,17,1,14,5,15,5,14,2,15,2,14,3,17,7,16,2,17,1,16,14,17,1,16,3,17,2,14,5,17,7,14,3,17,3,14,30,8,2,10,1,8,2,15,1,8,1,10,3,8,1,10,17,8,4,14,4,15,4,14,4,15,4,14,5,15,5,14,33,15,8,14,7,15,19,14,9,15,3,14,5,15,1,8,3,18,1,14,3,18,16,8,5,18,2,8,3,18,3,8,8,18,2,8,10,18,2,8,6,18,2,8,1,10,6,8,3,10,2,8,63,10,35,8,6,10,7,8,4,10,5,8,5,10,7,8,21,10,24,8,3,10,12,8,3,10,17,8,4,10,7,8,2,10,8,8,13,10,9,8,3,10,6,8,5,18,2,8,1,10,6,8,17,18,1,4,2,19,6,4,26,19,4,4,4,10,1,8,4,10,28,8,3,10,13,8,4,10,15,8,7,10,2,8,4,10,1,8,5,10,2,8,1,18,10,8,10,18,2,14,1,18,2,4,2,19,5,4,22,18,4,8,23,18,2,8,25,10,2,8,3,18,2,4,18,19,7,4,8,18,1,10,1,8,31,18,1,8,3,10,5,8,14,10,3,8,2,10,4,8,6,10,184,4,10,19,8,4,6,19,5,4,636,},
{4,646,19,6,4,5,10,10,8,5,10,61,8,2,9,8,8,2,15,2,14,2,15,4,14,5,15,6,14,7,15,6,8,1,10,3,8,1,14,1,16,4,14,2,15,3,14,4,3,3,14,16,17,2,14,8,16,3,14,2,15,1,8,1,15,1,14,2,16,2,3,1,14,5,15,3,14,4,15,1,14,7,16,2,17,1,14,7,17,1,16,3,17,1,14,13,15,5,14,38,17,4,14,5,17,11,14,3,7,1,15,1,8,5,15,3,8,3,15,1,14,2,17,2,14,4,16,4,17,1,14,7,17,1,16,3,3,7,16,3,3,1,14,4,3,1,16,2,3,4,14,5,18,1,8,4,18,1,15,3,8,1,15,4,14,8,15,1,8,2,14,2,15,1,8,4,18,5,14,1,15,1,8,4,10,3,8,2,10,5,8,5,10,5,8,4,10,6,8,1,18,2,14,1,3,1,14,1,18,1,9,1,10,2,8,3,18,1,15,1,18,1,8,1,18,1,14,2,15,1,8,1,9,1,10,1,8,3,15,1,14,1,3,1,16,7,17,1,14,3,16,12,14,1,15,4,14,3,16,4,17,2,14,4,17,2,16,24,17,1,14,5,15,5,14,7,17,1,16,5,17,4,16,14,17,1,16,2,17,1,14,6,17,2,16,1,17,6,14,4,17,1,14,30,8,1,10,2,8,2,18,1,8,1,10,2,8,2,10,18,8,3,15,1,14,3,15,4,14,5,15,2,14,6,15,6,14,33,15,8,14,5,15,20,14,9,15,6,14,2,18,1,8,4,14,4,18,16,8,3,18,3,8,34,18,2,8,1,10,2,8,2,10,2,8,4,10,8,8,46,10,4,8,1,10,1,8,4,10,5,8,3,10,7,8,2,10,4,8,3,10,12,8,4,10,6,8,7,10,3,8,6,10,7,8,18,10,1,8,1,10,40,8,3,10,18,8,1,10,19,8,12,10,10,8,2,10,8,8,4,18,2,10,7,8,16,18,2,4,2,19,6,4,26,19,4,4,4,18,1,8,4,10,28,8,3,10,13,8,3,10,16,8,4,18,1,8,2,10,2,8,3,10,2,8,5,10,2,18,10,8,13,7,1,18,2,4,2,19,5,4,23,18,4,8,23,18,2,8,8,18,1,8,21,18,1,4,17,19,7,4,4,18,5,8,37,10,6,8,13,10,2,8,3,10,4,8,5,10,185,4,9,19,7,4,7,19,6,4,636,},
{4,646,19,5,4,2,18,2,10,12,8,5,10,61,8,2,9,2,8,2,18,1,8,3,18,1,15,4,14,1,15,9,14,1,15,6,14,4,15,3,14,3,15,2,9,1,10,3,15,1,3,1,16,4,14,2,15,2,14,1,3,1,16,2,3,2,14,28,16,2,14,3,15,2,14,2,16,3,3,1,14,6,15,2,14,4,15,5,14,3,16,2,17,1,14,8,17,4,14,13,15,2,14,45,17,11,14,2,17,3,14,4,15,2,8,5,15,2,8,3,15,1,14,1,17,1,16,2,17,1,14,2,17,1,16,4,17,1,14,1,17,1,14,1,17,2,14,2,17,1,16,3,3,7,16,2,3,1,14,5,3,1,16,2,3,2,14,6,15,1,8,2,10,2,8,2,15,3,8,2,15,2,14,9,15,1,8,2,15,1,14,1,15,1,18,1,8,3,18,5,14,2,18,1,8,3,10,2,8,4,10,4,8,1,18,1,8,1,10,8,8,3,10,7,8,1,18,1,14,3,15,1,8,1,9,1,10,1,8,4,18,2,8,2,15,1,14,3,15,1,8,4,15,2,14,1,16,23,17,1,14,8,17,1,16,3,17,3,14,3,17,3,16,3,17,1,16,14,17,5,14,6,15,4,14,7,17,1,16,6,17,2,16,15,17,4,14,6,17,1,16,2,17,2,14,2,17,2,14,34,15,1,8,2,10,1,8,2,18,1,8,1,10,2,8,3,10,18,8,2,15,2,14,1,15,5,14,5,15,2,14,7,15,4,14,35,15,8,14,4,15,21,14,8,15,3,18,5,8,1,10,3,8,1,18,1,14,3,18,15,8,5,18,1,8,35,18,2,8,1,10,3,8,1,10,2,8,1,18,2,8,1,10,8,8,7,18,1,8,30,10,22,8,4,10,7,8,10,10,12,8,2,10,7,8,17,10,6,8,15,10,6,8,4,10,35,8,3,10,40,8,10,10,11,8,1,10,11,8,3,10,7,8,16,18,1,4,2,19,7,4,26,19,5,4,3,18,1,8,3,10,29,8,4,10,12,8,3,10,16,8,4,18,2,8,1,10,2,8,3,10,2,8,5,10,2,18,4,3,1,18,4,8,14,18,4,4,1,19,6,4,23,18,3,8,33,18,2,8,1,18,4,8,2,10,5,8,8,10,1,4,17,19,7,4,3,18,5,8,15,10,6,8,4,10,7,8,6,10,5,8,14,10,2,8,4,10,3,8,5,10,189,4,5,19,6,4,2,18,1,10,4,4,2,19,5,4,636,},
{4,646,19,5,4,1,10,4,8,2,10,9,8,4,10,2,18,3,10,13,8,4,10,42,9,2,8,1,18,1,15,1,18,2,15,6,14,1,15,2,8,2,15,5,14,1,15,6,14,3,15,4,14,3,15,1,8,1,10,4,15,1,16,4,3,1,14,4,3,1,16,4,14,28,16,3,14,3,15,1,14,2,16,4,14,7,15,2,14,4,15,5,14,2,17,1,16,2,17,1,14,11,17,2,14,7,16,1,14,47,17,1,14,3,17,1,16,5,17,5,14,11,15,1,7,1,8,3,15,2,8,3,15,1,14,2,17,1,16,1,17,1,14,2,17,1,16,4,17,7,14,1,17,1,16,2,17,1,14,5,3,4,14,2,15,3,14,1,3,4,14,7,15,1,8,1,10,4,8,1,15,6,14,10,15,1,8,1,18,1,14,2,15,1,18,1,8,3,18,5,14,2,18,2,8,3,10,1,8,4,10,3,8,1,18,2,8,1,10,8,8,3,10,8,8,1,18,1,14,3,18,1,8,11,15,1,14,4,15,1,8,4,14,2,16,25,17,1,14,6,16,3,17,2,14,7,17,3,14,1,17,1,16,5,17,1,16,6,17,1,14,11,15,4,14,2,3,2,14,3,17,1,16,7,17,5,16,10,17,3,14,8,17,1,16,1,17,2,14,3,17,2,14,35,15,1,8,4,15,1,8,1,10,2,8,3,10,18,8,3,15,8,14,14,15,2,14,35,15,3,18,1,15,2,18,1,15,2,14,3,15,23,14,6,15,3,18,5,8,2,10,4,8,1,18,1,14,2,18,2,8,2,18,5,8,1,18,5,8,40,18,4,8,1,10,4,8,1,18,3,8,2,10,5,8,35,10,1,8,1,10,25,8,4,10,7,8,10,10,12,8,2,10,8,8,18,10,4,8,14,10,6,8,8,10,16,8,3,10,13,8,3,10,41,8,4,10,29,8,2,10,6,8,2,18,2,8,12,18,2,4,2,19,7,4,26,19,5,4,3,18,1,8,3,10,20,8,3,10,7,8,3,10,11,8,4,10,16,8,4,18,2,8,1,10,2,8,3,10,2,8,5,10,1,18,10,8,15,18,3,4,1,19,7,4,22,18,3,8,29,18,1,8,1,18,9,8,2,10,5,8,7,10,2,4,1,19,6,4,11,19,2,4,6,18,4,8,13,10,9,8,7,10,4,8,7,10,5,8,14,10,2,8,4,10,3,8,5,10,190,4,4,19,6,4,2,10,5,4,2,19,5,4,636,},
{4,643,19,6,4,3,10,3,8,3,10,10,8,3,10,1,18,4,10,12,8,7,10,40,8,3,15,2,18,2,15,9,8,4,15,3,14,3,15,2,14,6,15,2,14,4,15,1,8,1,10,3,9,1,14,1,16,4,3,1,14,4,16,5,14,21,17,1,16,2,14,3,17,1,16,3,17,1,14,4,16,5,14,7,15,2,14,5,15,4,14,2,17,1,16,2,17,1,14,12,17,2,14,5,16,3,14,46,16,1,14,3,17,1,16,5,17,5,14,13,7,2,15,3,8,2,15,1,14,4,17,1,14,3,17,2,16,3,17,5,14,4,17,2,14,11,15,1,8,2,15,1,14,2,3,2,14,8,8,1,10,5,8,1,15,4,14,13,15,2,14,3,18,2,8,1,18,5,14,3,18,3,8,2,10,2,8,2,10,4,8,1,18,2,8,1,10,8,8,3,10,5,8,1,10,3,8,1,18,1,14,2,18,1,8,4,10,2,8,5,15,1,14,1,3,3,14,1,15,1,8,3,15,1,14,1,17,1,16,27,14,4,16,3,17,1,14,13,16,4,14,2,17,1,16,4,14,14,15,3,14,2,3,1,16,1,14,3,17,1,16,9,17,3,16,10,17,2,14,9,17,4,14,40,15,1,8,4,15,1,8,1,10,2,8,3,10,18,8,3,15,6,14,53,15,2,18,6,15,5,18,4,15,21,14,5,15,1,18,4,8,3,10,5,8,1,18,1,14,1,18,2,8,2,18,4,8,5,18,2,8,24,18,4,8,12,18,4,8,1,10,4,8,2,18,2,8,3,10,4,8,34,10,29,8,2,10,8,8,2,10,2,8,5,10,12,8,3,10,10,8,16,10,2,8,15,10,6,8,9,10,16,8,5,10,11,8,3,10,41,8,4,10,16,8,2,10,1,8,5,10,4,8,3,10,6,8,2,18,2,8,11,18,2,4,3,19,5,4,28,19,5,4,3,18,1,8,3,10,19,8,5,10,8,8,1,10,11,8,5,10,15,8,4,18,2,8,1,10,2,8,3,10,2,8,4,10,2,18,10,8,16,18,2,4,2,19,6,4,22,18,4,8,25,18,14,8,2,10,5,8,7,10,2,4,1,19,10,4,14,18,1,8,16,10,7,8,22,10,3,8,15,10,2,8,4,10,4,8,4,10,190,4,5,19,1,4,6,10,4,4,4,19,4,4,636,},
{4,642,19,6,4,4,10,2,8,3,10,15,18,3,10,14,8,5,10,15,18,3,10,23,8,3,18,1,8,3,15,1,14,2,15,1,18,1,8,1,15,3,8,4,15,2,14,12,15,2,14,5,8,1,9,1,10,2,8,1,14,1,16,4,14,5,16,4,3,1,14,1,15,1,14,19,16,4,14,2,16,5,14,4,16,4,3,1,14,2,15,1,14,3,15,3,14,5,15,1,14,5,16,3,17,1,14,19,16,3,14,45,17,1,16,1,14,4,16,5,17,3,16,1,17,2,14,12,7,2,15,1,7,5,14,10,17,1,16,2,17,1,14,20,15,1,8,1,9,1,8,2,15,1,14,8,18,2,8,2,10,4,8,1,18,1,15,2,14,20,15,1,18,5,14,2,18,6,8,2,10,2,8,2,10,4,8,1,18,2,8,1,10,9,8,2,10,4,8,4,10,2,8,1,15,2,18,1,8,4,10,2,8,3,10,2,8,1,14,1,3,1,16,1,3,1,14,1,15,2,8,3,15,1,14,1,17,1,16,27,14,3,16,2,14,22,3,3,14,2,3,1,14,8,15,1,14,2,15,4,14,3,16,1,17,1,14,2,17,1,16,23,17,2,14,7,17,6,14,40,15,2,8,1,15,2,8,2,10,1,8,3,10,18,8,4,15,1,14,54,15,4,18,9,15,5,18,1,15,12,7,2,15,9,14,5,15,1,18,2,8,5,10,4,8,1,18,1,14,2,18,7,8,4,18,4,8,22,18,5,8,11,18,5,8,49,10,12,8,1,10,46,8,6,10,10,8,8,10,4,8,3,10,2,8,15,10,6,8,9,10,17,8,1,10,14,8,3,10,29,8,1,10,11,8,3,10,5,8,3,10,8,8,3,10,1,8,3,18,1,8,1,10,3,8,1,18,2,10,2,18,2,10,3,8,2,18,1,8,11,18,3,4,3,19,4,4,29,19,5,4,3,18,1,8,2,10,20,8,6,10,19,8,5,10,16,8,3,18,2,8,1,10,3,8,2,10,2,8,4,10,1,18,11,8,16,18,2,4,2,19,6,4,22,18,5,8,24,18,9,8,19,10,2,4,1,19,10,4,10,18,3,10,1,8,14,10,9,8,24,10,1,8,15,10,3,8,4,10,4,8,4,10,126,8,3,10,62,4,11,10,4,4,4,19,4,4,636,},
{4,642,19,5,4,4,10,2,8,3,10,4,8,2,10,8,8,1,10,1,18,2,10,35,18,8,10,17,8,1,18,1,8,4,9,1,8,1,15,1,14,2,15,1,8,3,15,2,8,3,15,2,14,14,15,2,14,4,15,1,8,1,9,1,8,2,14,1,3,1,16,2,3,1,14,5,16,4,14,1,15,2,14,19,16,3,17,1,14,2,16,6,14,2,16,3,3,1,14,4,15,4,8,2,15,1,14,2,16,2,14,6,17,1,16,3,17,1,14,1,17,1,14,17,17,1,16,1,14,46,16,2,14,5,16,2,17,2,14,2,17,1,16,3,17,2,14,11,15,2,7,1,14,14,17,1,16,2,17,1,14,20,15,1,8,1,10,2,8,1,15,1,14,4,15,1,14,1,15,1,18,1,8,2,10,4,8,4,18,1,14,21,15,1,18,4,14,3,18,1,8,2,18,3,8,6,10,4,8,1,18,2,8,1,10,9,8,2,10,4,8,1,18,2,8,1,9,1,10,1,8,2,15,1,18,1,8,2,18,1,8,1,10,2,8,3,9,1,10,1,8,1,14,1,3,1,16,1,3,1,14,1,15,2,8,3,15,1,14,1,17,1,16,1,14,3,17,1,16,22,17,1,14,1,17,1,16,1,17,1,14,2,15,4,14,20,3,1,16,2,14,5,15,9,14,3,16,1,17,1,14,2,17,2,16,23,17,1,14,4,17,4,14,3,17,3,14,8,17,1,14,4,17,1,14,26,15,4,8,2,10,1,8,7,10,14,8,4,15,1,14,11,15,3,14,18,15,3,14,8,15,1,14,9,15,5,18,8,15,30,14,5,15,2,18,1,8,6,10,3,8,1,18,1,14,3,18,3,14,1,18,4,8,1,18,6,8,11,18,6,8,4,18,5,8,10,18,5,8,4,18,1,8,44,10,12,8,2,10,10,8,5,10,7,8,4,10,19,8,8,10,9,8,7,10,5,8,21,10,5,8,7,10,34,8,3,10,3,8,3,10,5,8,2,10,16,8,1,10,11,8,4,10,4,8,4,10,7,8,3,10,2,8,4,10,2,8,1,18,3,10,8,8,8,10,2,8,3,18,3,4,36,19,6,4,2,18,1,8,2,10,20,8,5,10,10,8,1,10,6,8,1,10,1,8,8,10,14,8,3,18,2,8,1,10,3,8,8,10,1,18,11,8,16,18,2,4,2,19,6,4,22,18,6,8,11,18,1,8,17,18,1,8,22,10,1,4,4,19,7,4,7,18,6,8,1,10,2,8,11,10,7,8,43,10,3,8,4,10,5,8,3,10,79,8,2,10,6,8,1,10,37,8,4,10,49,8,2,10,9,8,2,10,3,4,3,18,4,10,3,18,1,4,4,19,5,4,636,},
{4,642,19,4,4,3,18,2,10,2,8,3,10,5,8,1,10,5,8,1,10,2,8,1,10,8,18,2,10,28,18,9,10,16,8,1,18,1,8,2,9,1,10,2,9,1,8,1,15,3,8,2,15,3,8,3,15,2,14,14,15,1,14,5,8,5,14,1,3,1,16,1,3,1,14,1,3,1,14,4,16,3,14,2,15,1,14,20,16,3,14,3,16,6,17,2,16,2,3,1,14,4,15,6,8,1,15,1,14,1,16,3,14,7,17,1,16,2,17,4,14,64,16,2,3,1,14,11,17,1,16,1,17,3,14,11,15,2,14,16,17,2,14,18,3,1,14,2,15,1,8,1,10,1,9,1,8,1,15,1,14,3,15,1,18,1,15,1,18,1,8,2,10,5,8,1,18,1,14,13,15,6,14,3,15,4,18,7,8,3,18,2,8,3,10,7,8,1,18,2,8,1,10,4,8,3,10,8,18,1,15,1,14,1,18,1,8,10,10,2,8,4,10,1,9,1,15,1,3,1,16,2,14,1,15,1,8,4,15,1,14,7,17,1,16,26,14,2,15,4,14,20,3,2,14,5,15,5,14,1,15,3,14,3,17,1,16,1,17,1,14,2,17,2,16,24,17,1,14,3,17,4,14,3,17,3,14,41,15,4,8,1,10,1,8,7,10,14,8,3,15,1,14,11,15,3,14,10,7,3,14,16,15,4,14,7,15,5,18,7,15,1,14,4,15,1,14,1,15,25,14,6,18,5,8,3,10,2,8,2,18,1,14,2,18,17,8,10,18,4,8,5,18,5,8,9,18,11,8,45,10,9,8,4,10,10,8,6,10,5,8,5,10,19,8,8,10,10,8,6,10,4,8,4,10,1,8,19,10,3,8,6,10,35,8,3,10,3,8,10,10,28,8,3,10,4,8,5,10,5,8,5,10,3,8,5,18,2,3,1,18,1,10,2,18,1,10,1,18,1,10,3,8,9,10,2,8,2,18,3,4,36,19,5,4,3,18,1,8,3,10,20,8,4,10,10,8,1,10,6,8,12,10,10,8,5,18,2,8,1,10,9,8,1,10,1,8,1,18,11,8,16,18,2,4,2,19,6,4,22,18,7,8,51,18,2,4,4,19,5,4,7,18,3,3,1,18,2,8,2,10,2,8,10,10,7,8,44,10,4,8,1,18,1,8,1,10,5,8,4,10,125,8,2,10,35,8,2,10,13,8,2,10,10,8,2,10,11,9,1,4,6,19,4,4,636,},
{4,641,19,5,4,2,18,2,8,1,10,2,8,3,10,10,8,1,10,11,18,2,10,1,18,1,10,31,18,2,10,2,18,2,10,15,8,4,10,4,8,5,15,4,8,4,15,1,14,2,15,3,14,2,3,3,14,9,15,1,8,1,10,1,8,3,14,1,16,2,3,1,14,1,3,2,14,3,17,1,16,2,14,3,16,3,14,17,17,1,16,1,14,4,16,6,14,3,16,2,14,3,15,5,14,2,15,1,14,2,16,2,17,1,14,9,17,1,16,2,14,11,17,2,14,5,17,1,16,1,14,5,16,4,14,26,17,1,14,10,16,2,3,3,14,18,15,1,14,36,7,3,14,5,3,2,14,1,15,1,8,1,10,1,8,2,14,4,15,3,18,1,8,1,10,6,18,1,3,3,14,7,15,2,14,2,15,1,8,3,10,1,8,1,15,1,14,1,18,2,15,1,14,1,15,1,18,1,8,2,18,4,8,1,10,1,8,5,10,9,18,2,8,1,10,5,8,4,10,6,8,1,15,1,14,1,15,1,18,1,8,2,10,8,8,2,15,2,8,1,10,2,18,1,3,1,16,2,14,1,15,1,8,3,15,3,14,7,16,27,14,5,15,1,14,5,15,2,14,6,15,3,14,2,3,1,14,4,15,3,8,2,15,1,14,4,15,3,14,2,16,2,17,6,14,2,17,1,16,3,17,2,16,3,17,2,16,11,14,3,17,9,14,45,15,1,8,8,10,15,8,2,15,2,14,12,7,1,14,10,7,3,15,2,14,1,15,1,14,9,15,3,14,1,15,1,14,1,15,5,14,6,15,3,14,2,18,5,14,8,15,2,18,1,15,4,14,3,7,4,8,3,15,2,14,1,15,1,14,1,15,5,14,6,15,3,18,1,8,7,18,6,8,1,18,13,8,16,18,5,8,9,18,10,8,48,10,7,8,5,10,11,8,15,10,19,8,10,10,15,8,6,10,3,8,11,10,2,8,14,10,20,8,1,10,2,8,1,10,11,8,3,10,6,8,6,10,1,8,2,10,18,8,1,10,7,8,2,10,5,8,5,10,2,8,1,10,1,8,6,10,4,8,3,18,5,10,3,18,1,10,1,18,1,10,1,8,16,18,1,4,44,18,2,8,2,10,21,8,3,10,16,8,11,10,10,8,7,18,1,8,3,10,2,8,1,10,6,8,1,18,9,8,19,18,2,4,3,19,5,4,22,18,10,8,21,18,1,8,25,18,4,4,15,18,5,8,58,10,1,8,7,10,4,8,1,18,2,8,1,10,4,8,4,10,161,8,2,18,1,8,1,10,20,8,2,10,14,8,2,4,646,},
{4,639,19,6,4,3,18,1,8,2,10,2,8,3,10,8,8,1,10,12,18,5,10,32,18,2,10,2,18,1,10,4,18,1,10,10,8,4,10,7,8,2,14,3,15,1,8,5,15,2,8,1,9,1,8,1,14,2,3,3,14,8,15,1,8,1,10,2,8,3,14,1,16,3,14,1,16,1,14,4,16,3,14,2,16,4,14,20,15,1,14,2,16,5,17,1,14,3,16,2,14,2,15,5,14,5,17,1,16,2,14,4,17,2,14,4,17,1,16,2,14,10,17,1,16,2,17,1,14,4,16,2,17,1,14,4,16,5,17,1,14,24,17,2,14,8,17,1,3,1,16,1,3,3,14,17,15,2,14,35,7,4,14,5,3,2,14,1,15,1,8,3,15,1,14,4,15,3,8,2,10,3,8,3,14,1,3,1,16,1,3,2,14,2,17,2,14,1,15,1,8,2,14,2,8,2,10,3,8,1,18,1,15,1,18,1,8,1,18,1,15,2,18,1,8,2,18,4,8,1,10,1,8,5,10,9,18,1,14,1,8,1,10,5,8,1,18,2,8,2,10,5,8,1,15,1,14,2,15,1,18,1,8,1,10,8,8,2,15,1,14,1,15,1,10,2,8,1,3,1,16,2,14,1,8,1,9,2,8,1,15,4,14,1,17,1,16,1,14,3,16,30,14,7,15,3,14,14,15,2,8,1,15,1,8,3,15,1,14,4,15,2,14,2,17,1,16,2,17,1,14,1,17,4,14,3,17,1,16,2,17,2,16,2,17,7,16,7,17,1,14,7,17,3,14,46,15,2,8,6,10,16,8,2,15,1,14,4,15,1,14,19,7,3,14,12,15,5,14,3,15,4,14,7,15,1,14,3,18,4,15,1,14,8,15,2,8,1,18,1,15,3,14,2,7,4,8,4,15,2,14,3,15,2,18,2,15,1,14,7,15,1,14,1,15,1,18,1,8,7,18,4,8,2,18,5,8,2,18,6,8,14,18,7,8,9,18,9,8,49,10,6,8,6,10,11,8,12,10,23,8,2,10,21,8,8,10,3,8,10,10,3,8,14,10,19,8,1,10,2,8,3,10,18,8,5,10,2,8,4,10,10,8,1,10,5,8,2,10,23,8,6,10,4,8,2,18,4,8,2,10,4,18,1,10,1,8,1,18,2,8,9,10,1,8,3,18,1,4,44,18,3,8,1,10,22,8,4,10,13,8,11,10,10,8,13,18,4,8,4,18,9,8,19,18,4,4,2,19,5,4,22,18,4,8,3,18,3,8,21,18,1,8,24,18,22,8,7,10,9,8,44,10,3,8,7,10,4,18,2,8,1,10,1,8,2,10,2,8,3,10,10,8,1,10,150,8,1,18,2,8,1,10,20,8,3,10,3,8,1,10,4,8,2,10,2,9,2,10,1,4,646,},
{4,639,19,5,4,3,10,2,8,1,10,5,8,1,10,11,18,1,10,12,18,1,10,33,18,4,10,1,8,1,9,1,18,1,10,1,18,1,10,10,8,5,9,6,8,1,15,1,14,4,15,1,8,1,9,2,8,1,15,1,8,1,10,2,8,1,15,1,14,8,3,1,14,3,15,1,8,1,10,2,8,1,15,2,14,1,16,5,14,4,16,3,14,2,16,4,17,1,14,22,16,5,14,4,17,1,3,1,14,2,15,5,14,5,17,1,16,1,17,1,14,4,17,2,14,4,17,1,16,2,14,10,17,1,16,2,17,1,14,4,16,3,14,6,16,6,14,22,16,1,14,9,17,1,3,5,14,8,17,2,14,44,7,4,14,6,3,1,14,2,15,1,8,2,15,1,14,6,18,1,8,4,18,1,14,4,3,3,14,3,17,1,14,2,8,1,10,1,8,1,15,2,8,1,10,2,8,2,15,3,8,3,18,1,15,1,14,1,18,6,8,1,10,1,8,3,18,1,8,2,10,7,8,1,18,1,14,1,8,1,10,4,8,7,10,4,8,1,15,4,18,1,8,1,10,3,9,1,8,6,18,1,14,2,8,2,15,1,3,1,16,1,3,1,14,1,8,8,14,1,17,1,16,2,17,1,14,1,17,1,16,29,14,7,15,2,14,6,3,1,14,8,15,2,8,1,15,5,14,3,15,3,14,2,17,1,16,2,14,3,17,3,14,3,17,1,16,2,17,2,16,2,17,8,16,5,17,2,14,56,15,2,8,7,10,12,8,5,15,1,14,4,15,2,14,16,7,3,14,14,15,5,14,3,15,6,14,5,15,1,14,3,18,5,14,9,15,1,8,1,15,6,7,3,8,5,18,1,15,7,18,1,15,1,14,7,15,2,18,2,8,7,18,7,14,2,18,2,8,2,18,5,8,13,18,9,8,9,18,9,8,49,10,6,8,3,10,16,8,2,10,1,8,1,10,45,8,2,10,3,8,10,10,3,8,10,10,2,8,15,10,6,8,3,10,12,8,6,10,16,8,5,10,2,8,7,10,7,8,1,10,18,8,1,10,11,8,12,18,6,10,4,18,1,10,1,8,1,18,2,8,9,10,1,8,2,18,2,4,44,18,2,8,2,10,23,8,1,10,9,8,3,10,2,8,5,18,1,8,5,10,10,8,10,18,21,8,20,18,4,4,1,19,5,4,22,18,4,8,4,18,1,8,22,18,1,8,24,18,21,8,7,10,8,8,46,10,3,8,7,10,4,8,1,18,2,10,1,8,2,10,2,8,3,10,9,8,2,10,150,8,1,18,2,8,1,10,19,8,1,18,2,9,1,10,2,18,3,10,2,8,4,18,1,4,649,},
{4,639,19,4,4,3,10,21,18,2,10,47,18,2,10,1,18,3,10,12,8,9,9,2,8,1,15,1,14,4,15,1,8,1,10,1,9,1,8,3,10,2,9,1,15,2,14,3,15,1,14,2,3,2,14,2,15,1,8,2,9,1,8,2,15,2,14,1,16,4,3,1,14,1,15,1,14,2,16,3,14,2,16,5,14,16,15,1,14,3,17,1,16,5,14,2,15,1,14,2,16,1,14,3,15,4,14,7,17,1,14,4,17,1,16,1,17,1,14,4,16,3,17,1,14,9,17,1,16,2,17,1,14,3,17,1,16,3,14,8,16,5,14,21,17,1,14,9,16,1,3,6,14,7,17,3,14,38,7,2,14,2,7,4,14,20,15,1,8,2,18,1,14,1,3,4,14,1,3,2,14,6,15,1,8,1,10,1,8,3,10,3,8,1,15,1,14,2,18,1,8,3,18,1,15,1,14,3,18,2,8,7,18,2,8,1,10,4,8,4,14,2,18,1,8,1,10,4,8,7,10,3,8,1,15,1,18,1,15,2,18,1,8,5,18,1,15,1,18,1,8,2,9,1,8,1,14,2,18,2,14,1,3,1,16,1,3,1,14,1,8,1,15,1,18,1,8,4,9,1,15,1,14,1,16,3,14,2,16,28,17,1,14,1,16,4,14,9,16,5,14,2,15,9,14,11,16,1,17,1,14,3,17,3,14,3,17,1,16,2,17,3,16,1,17,9,16,3,17,2,14,29,17,2,14,25,15,5,8,5,10,11,8,5,15,2,14,5,15,1,14,15,7,3,14,1,17,1,16,3,17,1,14,9,15,5,14,4,15,4,14,10,18,5,15,1,14,8,15,1,18,1,15,6,7,2,8,7,18,2,15,7,14,5,15,1,14,2,15,1,18,2,8,9,18,4,14,3,18,2,8,2,18,5,8,10,18,8,8,14,18,8,8,49,10,9,8,1,10,14,8,3,10,46,8,17,10,1,8,11,10,2,8,16,10,4,8,6,10,12,8,6,10,13,8,6,10,1,8,10,10,19,8,1,10,3,8,3,10,10,8,13,18,5,10,3,18,1,10,2,8,1,18,1,8,9,10,2,8,2,18,2,4,44,18,1,8,3,10,33,8,3,10,2,8,10,10,12,8,9,18,6,14,1,18,5,8,2,18,6,8,21,18,4,4,2,19,5,4,21,18,3,8,52,18,1,8,12,18,5,8,10,10,7,8,21,10,1,8,21,10,1,8,3,10,4,8,5,18,1,8,1,10,5,8,1,18,1,8,1,10,1,8,2,10,2,8,3,10,7,8,3,10,79,8,1,10,70,8,1,18,2,8,1,10,14,8,2,10,3,9,1,18,2,9,1,10,2,18,3,10,2,8,3,10,1,4,650,},
{4,639,19,4,4,3,10,71,18,3,10,14,8,8,10,3,8,1,15,1,14,4,15,1,8,1,9,1,8,3,9,1,10,2,9,1,8,1,15,1,14,1,15,3,14,2,3,2,14,2,15,1,8,5,15,2,3,1,16,4,14,2,15,1,14,1,16,5,14,4,16,2,14,19,16,6,17,1,14,1,15,2,14,1,16,3,14,3,15,3,14,11,17,1,16,1,17,1,14,5,17,1,16,3,14,9,17,4,14,3,17,1,16,3,17,1,14,6,17,1,16,5,14,21,3,1,14,9,16,1,3,6,14,8,17,2,16,1,17,1,14,5,17,5,14,26,7,2,14,1,7,6,14,19,15,2,14,2,3,1,16,3,3,1,14,9,15,1,8,3,15,2,10,3,8,1,15,1,14,2,18,1,8,4,15,1,14,3,18,1,8,3,18,1,8,5,18,1,8,2,10,3,8,3,18,1,14,2,18,1,8,1,10,5,8,6,10,3,8,4,15,2,8,2,15,4,14,1,15,1,18,1,8,1,10,1,8,1,14,4,3,2,16,1,3,1,14,1,15,1,14,2,15,2,8,2,10,1,8,1,14,1,16,3,14,2,17,1,16,27,14,2,16,19,14,1,15,4,14,2,15,5,14,9,17,2,14,4,17,2,14,4,17,1,16,1,17,13,16,2,17,1,14,31,17,3,14,18,17,1,14,5,15,3,14,1,15,1,8,5,10,11,8,5,15,1,14,26,17,1,16,3,17,2,14,8,15,5,14,5,15,3,14,7,15,3,18,1,8,4,18,1,15,16,7,1,8,9,18,1,15,7,14,3,15,3,14,2,15,1,18,1,8,11,18,3,14,3,18,3,8,1,18,5,8,10,18,7,8,16,18,8,8,48,10,25,8,2,10,46,8,30,10,1,8,17,10,2,8,9,10,12,8,4,10,12,8,7,10,1,8,11,10,17,8,2,10,3,8,3,10,8,8,16,18,1,8,2,18,1,8,1,10,1,8,2,10,2,8,6,10,6,8,3,18,2,4,37,19,5,4,2,18,1,8,4,10,4,8,1,10,28,8,14,10,13,8,8,18,3,8,1,18,7,8,4,18,3,8,24,18,3,4,2,19,5,4,21,18,3,8,41,18,2,8,9,18,1,8,26,10,7,8,16,10,3,8,25,10,8,8,5,18,2,8,1,10,4,8,1,18,2,10,1,8,2,10,2,8,4,10,5,8,5,10,77,8,2,10,32,8,2,10,36,8,1,18,2,8,1,10,7,8,1,10,5,18,3,10,2,8,1,18,3,9,1,10,2,18,3,10,2,8,3,9,1,4,650,},
{4,640,19,2,4,4,10,8,8,2,10,61,18,3,10,13,8,9,10,3,8,1,15,1,14,5,15,1,8,1,15,2,8,1,9,1,10,2,9,1,15,6,14,2,3,2,14,2,15,1,8,5,15,2,16,5,14,1,15,2,14,1,16,5,14,25,16,4,17,1,14,3,15,2,14,1,16,3,14,4,15,2,14,10,17,1,16,2,14,5,17,1,16,4,17,1,14,8,17,2,14,5,17,1,14,1,17,4,14,5,17,1,16,4,14,22,3,1,14,9,16,1,3,5,14,10,17,1,16,3,17,3,16,6,17,3,14,24,7,4,8,1,7,3,14,4,15,2,14,15,3,2,16,4,3,1,14,4,18,1,8,2,14,3,8,3,14,1,15,1,8,1,10,2,8,1,15,1,14,2,15,1,18,1,8,3,15,1,14,3,8,2,10,1,8,1,18,2,8,4,18,1,8,2,10,4,8,2,18,1,14,2,18,1,8,2,10,5,8,2,18,1,8,2,10,3,8,4,15,2,8,2,14,6,15,1,8,1,10,1,8,1,15,1,14,3,3,1,16,2,3,2,14,1,3,2,14,1,15,2,8,1,10,2,15,1,14,6,16,26,14,2,16,20,14,2,15,1,14,5,15,2,14,6,17,1,16,1,17,1,14,2,17,1,16,1,14,4,17,2,14,4,17,1,16,3,17,7,14,3,17,4,14,33,17,1,14,9,17,1,14,14,8,2,15,1,14,1,15,2,8,2,10,8,8,2,10,3,8,4,15,2,14,25,17,1,16,4,17,2,14,8,15,5,14,15,15,2,18,1,8,5,18,1,15,14,8,13,15,8,14,2,15,3,14,2,15,1,8,12,18,9,8,1,18,5,8,10,18,5,8,11,18,2,8,6,18,7,8,49,10,24,8,2,10,46,8,60,10,12,8,3,10,10,8,21,10,18,8,1,10,3,8,3,10,6,8,21,18,1,8,1,10,2,8,1,10,2,8,5,10,6,8,4,18,2,4,36,19,6,4,2,18,1,8,9,10,29,8,14,10,12,8,15,18,3,8,5,18,3,8,4,10,1,8,20,18,2,4,2,19,5,4,21,18,3,8,41,18,2,8,36,10,6,8,3,18,1,8,13,10,3,8,4,10,1,8,18,10,10,8,6,18,1,8,2,10,4,18,2,8,1,10,6,8,4,10,3,8,5,10,77,8,2,10,32,8,3,10,3,8,2,10,30,8,3,10,2,8,1,10,5,8,1,10,5,18,3,10,1,9,1,18,5,8,1,10,5,8,4,10,1,4,650,},
{4,643,10,10,8,3,10,61,18,3,10,12,8,6,15,2,8,2,10,3,8,1,15,1,14,5,15,5,8,1,10,2,8,1,15,4,18,1,15,1,14,1,3,3,14,2,15,1,8,4,9,1,8,1,15,1,16,5,14,1,15,1,14,2,16,5,14,25,16,3,14,4,15,1,8,1,15,1,14,1,16,4,14,3,15,1,14,11,16,2,17,1,14,5,17,1,16,2,17,2,14,20,17,1,16,2,17,1,14,3,17,1,16,2,17,1,14,33,16,1,3,5,14,10,17,1,16,3,17,1,14,1,17,1,16,6,17,3,14,8,15,2,14,13,7,4,8,2,7,3,14,19,3,2,16,2,3,2,16,1,3,1,14,4,18,1,8,1,10,1,8,1,15,1,14,2,15,3,14,2,8,1,10,2,8,1,18,1,14,3,15,1,18,1,8,1,18,2,14,2,18,1,8,1,10,2,8,1,14,2,18,1,8,1,10,1,8,4,10,4,8,1,18,1,14,1,3,1,14,1,18,1,8,2,10,5,8,1,18,3,8,1,10,3,8,4,15,2,18,1,15,1,14,6,15,1,8,1,10,2,8,1,15,2,14,1,3,8,14,1,18,1,15,1,8,1,10,2,8,1,15,1,14,5,16,26,17,1,14,1,16,21,14,7,15,2,14,5,16,4,14,2,16,2,17,1,14,2,17,3,14,4,17,1,16,3,17,4,16,1,17,2,14,4,17,2,14,59,8,2,15,1,14,1,15,1,8,2,10,9,8,2,10,4,8,3,15,2,14,20,17,1,16,3,17,2,16,4,17,1,14,11,15,1,14,17,15,1,18,1,8,6,18,1,15,2,18,2,8,1,18,2,15,7,8,7,7,2,8,3,18,1,15,13,14,1,15,2,8,13,18,7,8,2,18,7,8,8,18,5,8,11,18,1,8,3,18,2,8,1,18,9,8,49,10,69,8,1,10,3,8,7,10,3,8,49,10,11,8,3,10,5,8,2,10,3,8,7,10,1,8,7,10,2,8,4,10,22,8,3,10,3,8,8,10,2,8,16,10,5,8,6,10,4,8,5,18,2,4,36,19,6,4,2,18,1,8,8,10,31,8,13,10,12,8,23,18,2,8,3,10,4,8,12,18,2,8,5,18,2,4,3,19,4,4,20,18,5,8,80,10,3,8,3,18,3,8,12,10,3,8,4,10,2,8,16,10,11,8,3,10,1,8,2,18,2,8,1,10,4,8,1,18,1,8,1,10,7,8,4,10,2,8,3,10,1,8,1,10,77,8,1,10,33,8,3,10,3,8,2,10,30,8,3,10,2,8,2,10,10,18,2,4,7,18,1,8,1,10,3,8,2,9,3,8,1,9,1,4,650,},
{4,642,10,5,8,1,10,5,8,4,10,60,18,3,10,11,8,2,18,2,8,3,15,3,8,1,9,1,10,1,9,1,8,1,15,1,14,9,15,1,8,1,10,2,8,1,15,4,18,1,15,1,14,1,3,3,14,1,15,1,8,2,10,4,8,1,15,1,16,5,14,4,16,5,14,2,15,1,14,22,16,2,14,2,15,1,8,1,15,2,8,1,15,1,14,1,16,4,14,10,15,2,14,2,17,1,16,2,14,5,17,1,16,2,17,1,14,22,16,3,14,4,17,4,14,34,3,5,14,10,17,1,16,2,17,1,14,2,17,2,16,4,17,5,14,7,15,3,14,12,7,3,8,3,7,2,14,18,3,2,16,4,14,3,3,1,14,3,15,1,8,1,10,3,15,1,14,3,15,1,14,3,8,1,10,2,8,1,15,1,14,5,18,6,8,1,10,2,8,1,14,2,18,1,8,1,10,2,8,3,10,4,8,2,14,1,3,1,14,1,18,1,8,3,10,4,8,1,18,3,8,1,10,4,8,2,15,5,14,7,18,1,10,4,8,1,14,1,3,7,14,1,18,1,8,2,9,1,10,2,9,1,8,1,15,1,14,4,17,1,14,1,16,8,17,1,14,3,16,35,17,1,14,5,15,2,14,3,17,3,16,4,17,2,16,2,17,1,14,1,17,2,16,1,17,2,14,3,17,1,16,3,17,4,16,1,17,1,14,13,17,9,14,28,17,2,14,14,8,2,15,1,14,2,15,1,8,1,10,3,8,2,10,4,8,3,10,3,8,3,15,2,14,19,17,1,16,9,17,1,14,26,15,3,14,1,15,1,8,4,18,3,15,5,8,4,15,3,8,9,7,4,8,2,18,1,15,13,14,1,15,1,18,1,8,15,18,3,8,4,18,7,8,8,18,5,8,15,18,1,8,2,18,9,8,31,10,1,8,17,10,69,8,1,10,4,8,4,10,6,8,50,10,3,8,2,10,5,8,3,10,3,8,3,10,3,8,5,10,4,8,5,10,35,8,7,10,4,8,17,10,2,8,7,10,4,8,6,18,2,4,35,19,5,4,3,18,1,8,6,10,32,8,7,10,1,8,8,10,10,8,21,18,1,8,6,10,4,8,12,18,2,8,5,18,2,4,3,19,4,4,19,10,1,8,1,18,4,8,38,18,2,8,10,10,1,8,16,10,3,8,15,18,4,8,12,10,3,8,3,10,4,8,14,10,12,8,3,10,2,8,2,18,2,8,1,10,4,8,1,18,1,8,1,10,7,8,3,10,6,8,1,10,111,8,3,10,3,8,2,10,25,8,1,10,4,8,3,10,1,8,5,10,8,18,1,4,8,18,1,8,4,9,1,18,4,9,2,4,650,},
{4,642,10,4,8,3,10,3,8,2,18,2,10,62,18,2,10,10,8,2,18,4,8,1,15,1,14,3,15,1,8,3,15,1,14,10,15,1,8,1,10,2,8,1,18,1,15,3,18,1,15,1,14,1,3,1,16,1,3,1,14,1,15,1,10,6,9,1,14,1,16,4,14,4,3,1,16,5,14,1,15,2,14,6,17,1,16,2,14,13,16,1,17,1,14,1,15,1,8,2,15,3,14,2,16,4,17,1,14,9,15,2,14,2,17,1,16,1,17,1,14,5,16,3,17,1,14,17,17,2,14,2,16,3,17,1,14,6,17,1,16,1,17,1,14,33,16,2,3,2,14,11,17,1,16,2,17,1,14,3,17,2,16,2,17,6,14,7,15,4,14,11,7,2,8,3,7,2,14,4,17,1,16,3,17,1,14,9,3,1,16,5,14,1,15,2,14,2,3,2,14,2,8,1,10,2,8,2,15,4,14,3,8,1,10,2,8,1,14,4,3,1,14,2,18,1,8,2,18,2,8,2,10,1,8,1,14,2,18,1,8,1,10,2,8,3,10,5,8,1,18,1,14,2,18,2,8,2,10,4,8,1,18,1,14,1,18,1,8,1,10,4,8,2,15,2,14,10,15,1,8,1,10,3,8,1,15,1,14,1,3,5,14,1,18,1,8,1,10,5,8,2,15,1,14,3,3,2,14,2,16,5,17,1,14,5,17,1,16,35,17,2,14,2,15,2,14,3,16,2,17,3,16,6,17,5,16,2,17,2,14,2,17,1,16,3,17,3,16,1,17,2,14,2,7,2,14,8,17,4,16,1,17,5,14,27,17,3,14,14,8,2,14,3,15,1,8,2,10,2,8,2,10,4,8,3,10,3,8,3,15,3,14,16,17,2,16,7,17,3,14,25,15,7,8,3,7,9,8,15,15,5,8,2,15,10,14,1,15,5,8,24,18,6,8,8,18,5,8,16,18,10,8,30,10,2,8,18,10,75,8,3,10,6,8,50,10,2,8,3,10,5,8,3,10,2,8,4,10,3,8,4,10,5,8,4,10,37,8,5,10,7,8,24,10,3,8,7,18,2,4,35,19,5,4,3,18,1,8,1,10,37,8,20,10,3,8,11,18,5,8,5,18,4,8,4,10,4,8,14,18,2,8,6,18,2,4,2,19,5,4,18,18,1,8,1,18,3,8,28,18,1,8,5,18,1,8,4,18,2,8,8,10,4,8,14,10,1,8,1,10,2,8,3,18,16,8,13,10,2,8,2,10,5,8,13,10,13,8,2,10,4,8,1,18,2,8,1,10,4,8,1,18,2,10,8,8,2,10,118,8,2,10,4,8,2,10,31,8,1,10,2,8,5,10,7,18,2,4,8,10,1,8,4,18,6,9,1,4,650,},
{4,642,10,4,8,7,10,1,8,1,10,35,8,2,10,26,18,2,10,10,8,1,18,1,15,6,14,4,15,1,8,2,15,1,14,10,15,1,8,1,10,2,9,1,8,1,15,2,18,1,15,1,14,1,3,4,14,1,8,1,10,6,8,1,14,1,16,4,14,3,16,1,3,1,14,2,16,2,14,2,15,2,14,5,16,4,14,13,17,1,14,2,8,3,15,1,14,4,16,4,14,7,17,1,14,2,15,2,14,3,17,1,14,5,17,1,16,3,14,13,17,1,14,3,17,1,16,7,14,7,17,1,16,3,3,3,14,23,16,1,3,1,14,4,3,1,16,1,3,2,14,9,17,2,16,3,17,1,14,3,17,11,14,8,15,2,14,3,3,3,14,4,7,2,8,4,7,2,14,4,17,1,16,4,14,9,16,5,17,1,14,1,8,2,15,1,14,1,3,1,16,1,14,2,15,1,8,7,15,1,14,3,8,1,10,2,8,1,14,1,3,1,14,2,3,2,14,1,18,1,8,2,18,1,15,1,18,2,8,1,18,1,14,2,15,1,8,1,10,2,8,4,10,4,8,1,18,1,14,2,18,3,8,1,10,4,18,1,14,2,18,1,8,1,10,4,8,1,15,1,14,5,15,1,14,7,18,1,10,4,18,1,15,1,14,2,3,3,14,1,8,1,9,1,10,3,9,1,8,4,15,1,14,1,3,1,16,1,3,1,14,2,3,1,16,5,14,5,17,1,16,38,14,5,16,4,17,4,16,3,17,5,16,4,17,4,16,3,17,3,16,1,17,2,14,2,7,2,14,7,17,3,16,1,17,8,14,3,17,2,14,12,17,1,14,8,17,4,14,13,15,1,8,1,14,4,15,1,8,6,10,3,8,3,10,3,8,2,15,4,14,15,17,1,16,8,17,3,14,6,17,3,14,17,15,7,8,2,7,11,8,14,18,2,15,3,18,2,15,10,14,1,15,4,18,1,8,25,18,5,8,7,18,6,8,16,18,11,8,30,10,2,8,17,10,83,8,42,10,1,8,4,10,1,8,4,10,1,8,3,10,4,8,4,10,2,8,3,10,5,8,3,10,5,8,5,10,11,8,1,10,36,8,13,18,2,8,9,10,3,8,7,18,2,4,35,19,5,4,3,18,1,8,2,10,28,8,42,18,3,14,1,18,3,8,1,18,3,14,2,15,1,8,3,10,3,8,16,18,1,8,7,18,2,4,3,19,4,4,18,10,1,18,3,8,29,18,2,8,9,18,2,8,6,10,5,8,21,18,18,8,12,10,2,8,1,10,7,8,12,10,20,8,1,18,1,8,1,10,5,18,2,8,1,10,8,8,1,10,74,8,2,10,42,8,2,10,4,8,2,10,34,8,5,10,7,18,1,4,10,10,1,8,3,18,6,9,1,4,650,},
{4,642,10,4,8,9,10,35,8,2,10,26,18,1,10,10,8,2,18,1,15,5,14,5,15,1,8,1,15,2,14,10,8,1,9,1,10,3,8,1,18,1,15,1,18,1,15,1,14,1,3,4,15,1,8,1,10,6,8,1,14,1,16,3,14,4,16,1,14,3,17,1,16,1,14,2,15,1,14,5,17,1,16,4,14,13,17,1,14,2,15,1,8,1,15,2,14,3,16,3,17,2,14,7,16,2,14,12,16,4,14,13,17,4,16,8,14,7,17,1,16,4,3,2,14,22,3,1,16,1,3,1,14,4,3,1,16,1,3,2,14,9,17,1,16,4,17,2,14,2,17,2,16,2,17,3,16,3,17,1,14,13,3,2,17,1,14,4,7,2,8,4,7,1,14,5,17,1,16,3,14,4,17,2,16,1,17,2,14,1,17,1,16,3,17,1,14,1,15,1,8,2,15,1,14,2,3,1,14,3,15,2,8,2,10,2,8,1,15,1,14,2,15,1,10,3,8,1,14,1,3,1,14,2,3,2,14,1,18,1,8,2,15,1,14,3,15,1,18,1,15,3,8,1,10,2,8,4,10,4,8,2,18,5,8,1,10,4,18,4,8,1,10,4,8,1,15,1,14,5,15,2,14,7,8,1,10,3,8,1,18,1,14,2,3,3,14,1,8,1,9,1,10,2,8,2,15,1,8,3,15,1,14,1,16,3,3,1,14,1,16,6,17,1,14,4,17,2,16,9,17,1,16,27,17,1,14,4,16,4,17,1,14,3,17,3,14,3,17,2,16,6,17,3,16,3,17,2,16,2,17,1,14,2,7,2,14,6,17,4,16,1,17,13,14,11,17,3,14,6,17,5,14,7,17,1,14,3,17,1,14,1,15,2,14,5,15,1,8,5,10,6,8,4,18,1,15,4,14,14,17,1,16,6,17,3,6,1,14,1,6,1,14,7,17,2,14,17,15,7,8,2,7,10,8,16,18,1,15,3,18,2,15,4,18,3,15,8,18,1,8,30,18,2,8,5,18,7,8,2,18,4,8,9,18,13,8,45,10,82,8,2,10,1,8,41,10,13,8,2,10,4,8,4,10,2,8,3,10,12,8,6,10,8,8,5,10,34,8,14,18,2,8,7,10,1,8,1,10,3,8,4,10,2,8,1,18,2,4,35,19,5,4,3,18,1,8,3,10,8,8,1,10,17,8,43,18,11,14,2,15,1,8,3,10,2,8,17,18,2,8,6,18,3,4,2,19,4,4,17,10,1,18,1,8,1,18,1,8,41,18,3,8,4,10,4,8,24,18,2,4,1,18,1,4,11,18,2,8,15,10,7,8,12,10,15,8,1,10,4,8,3,10,5,8,3,10,4,8,1,10,78,8,1,10,8,8,1,10,35,8,1,10,4,8,2,10,34,8,4,10,4,4,7,19,6,4,3,8,4,9,5,10,1,4,650,},
{4,642,10,4,8,6,10,1,8,1,10,36,8,1,10,30,8,9,18,1,15,6,14,5,15,2,8,1,15,2,14,8,15,1,8,1,9,1,10,3,8,1,18,1,15,1,18,1,15,1,14,1,3,2,14,2,15,1,8,1,10,1,9,1,8,2,9,1,10,1,15,1,3,1,16,2,3,1,14,19,16,3,14,17,15,3,14,3,16,3,14,10,16,2,14,11,17,1,16,3,17,1,14,13,17,2,16,1,17,1,16,7,17,1,14,7,17,2,16,3,3,2,14,22,3,1,16,2,14,4,3,3,14,10,17,1,16,3,17,2,14,3,17,3,16,1,17,1,16,4,17,2,14,13,3,3,14,4,7,3,8,2,7,2,14,2,17,2,14,2,17,1,14,5,16,5,17,1,14,7,15,1,10,2,8,1,14,8,8,1,10,3,8,1,15,1,14,2,15,1,10,3,8,1,15,1,14,3,3,2,14,1,15,1,8,2,15,1,14,1,3,2,14,1,15,1,18,4,8,1,10,1,8,5,10,1,8,4,18,2,8,4,10,4,18,3,8,1,10,4,8,1,15,2,14,5,15,2,14,7,18,1,10,3,8,2,15,1,14,1,3,3,14,1,18,1,8,3,15,3,8,1,10,2,15,1,14,1,16,4,3,1,16,7,17,7,16,2,17,4,14,3,17,1,16,28,17,3,16,5,17,1,14,8,17,1,16,8,17,2,16,3,17,1,16,3,17,2,14,9,17,2,16,3,17,2,14,4,17,3,16,1,17,4,14,5,17,8,14,6,17,6,14,6,17,2,14,2,17,1,14,4,3,1,14,4,15,1,18,2,8,3,10,4,8,4,15,7,14,12,17,1,16,6,17,1,6,1,14,2,7,2,14,29,15,2,14,2,15,1,8,2,7,2,14,2,7,3,8,25,18,1,15,3,18,3,15,7,18,2,8,30,18,21,8,10,18,11,8,4,18,1,8,15,10,1,8,24,10,82,8,43,10,20,8,4,10,16,8,7,10,9,8,4,10,30,8,2,10,2,8,22,10,6,8,4,10,2,8,1,18,2,4,35,19,5,4,2,18,2,8,3,10,7,8,3,10,15,8,17,10,2,8,30,18,9,8,32,18,1,4,2,19,4,4,16,18,1,10,1,8,1,18,1,8,42,18,3,8,3,10,4,8,21,18,2,8,2,10,1,4,8,19,4,4,3,18,1,8,15,10,6,8,13,10,15,8,2,10,4,8,2,10,5,8,5,10,98,8,1,10,32,8,2,10,35,8,3,10,4,4,6,19,8,4,2,9,1,10,6,8,2,9,1,4,650,},
{4,642,10,5,8,5,10,27,8,1,10,34,18,1,10,5,18,10,15,9,14,3,15,2,8,2,15,1,14,3,15,2,14,2,15,1,8,5,9,1,8,1,18,1,15,1,18,1,15,1,14,1,3,1,14,3,8,7,9,1,15,1,3,1,16,2,14,35,15,1,14,6,15,2,14,2,17,1,16,2,14,3,17,2,14,4,17,1,16,2,14,10,17,1,16,3,17,1,14,14,17,2,16,1,17,1,16,4,17,3,14,2,17,6,14,3,17,1,3,3,14,23,16,1,3,1,14,5,3,2,14,11,17,2,14,7,17,8,14,14,3,4,14,7,15,1,7,2,14,13,16,5,14,8,15,1,9,1,10,1,8,1,15,1,14,4,16,1,17,1,14,1,8,1,10,3,8,1,15,1,14,2,15,1,10,3,8,2,18,1,15,1,14,1,3,2,14,2,18,2,14,2,3,2,14,1,15,1,18,4,8,6,10,1,8,5,18,1,8,5,10,4,8,1,18,1,8,1,10,4,9,1,8,1,15,1,14,6,15,2,14,7,18,1,10,4,8,1,18,2,14,2,3,1,14,1,15,1,18,2,14,3,15,1,9,1,10,2,8,1,14,1,3,1,16,21,17,3,14,2,7,1,6,1,16,30,17,3,16,4,17,2,14,5,17,2,16,8,17,2,16,8,17,1,14,6,17,1,14,1,17,3,16,3,17,2,14,4,17,2,16,3,17,3,14,3,17,10,14,6,17,6,14,6,17,5,14,10,15,2,8,4,10,3,8,3,15,8,14,11,17,1,16,6,17,2,14,2,7,3,14,34,7,8,8,17,18,1,8,9,15,3,18,3,15,6,18,6,8,27,18,17,15,2,18,2,8,10,18,12,8,2,18,3,8,14,10,2,8,23,10,26,8,1,10,53,8,45,10,37,8,10,10,4,8,1,10,5,8,4,10,16,8,2,10,10,8,3,10,2,8,21,10,8,8,3,10,1,8,2,18,2,4,2,19,5,4,28,19,5,4,3,18,1,8,4,10,5,8,5,10,14,8,17,10,3,8,35,18,1,8,21,18,3,8,11,4,3,19,4,4,15,18,1,8,1,18,2,8,43,18,3,8,3,10,1,8,11,18,9,8,1,18,1,8,1,18,2,10,3,4,4,19,9,4,2,8,6,10,4,8,6,10,5,8,15,10,15,8,1,10,5,8,2,10,5,8,5,10,88,8,1,10,8,8,1,10,31,8,2,10,36,8,3,10,1,18,1,10,2,4,5,19,9,4,2,10,3,18,1,10,4,8,1,9,1,4,650,},
{4,642,10,7,8,2,9,1,10,21,8,1,10,4,8,2,10,34,18,1,10,4,8,1,18,1,3,1,14,1,18,4,15,13,14,3,15,1,8,2,15,2,14,1,15,1,8,2,15,2,8,4,15,2,8,2,15,2,18,2,14,3,15,2,8,3,15,2,8,2,10,1,15,1,16,3,14,4,15,1,14,27,15,3,8,1,15,1,14,6,15,2,14,1,16,3,14,3,16,3,14,3,17,1,16,2,14,9,17,2,16,1,17,1,14,3,15,2,14,11,17,1,16,7,17,2,14,3,17,2,16,2,17,2,14,4,3,2,14,11,15,3,14,37,17,5,16,2,17,1,14,17,3,2,14,3,15,1,14,19,17,1,16,4,14,9,15,1,10,2,8,1,15,1,14,3,17,1,16,2,14,1,8,1,10,3,8,1,14,4,8,6,18,1,14,2,3,2,14,1,15,2,14,2,3,2,14,1,15,1,18,4,8,4,10,3,8,1,18,5,8,6,10,2,8,3,10,5,8,1,15,1,14,13,15,2,14,2,8,1,10,3,8,1,18,2,15,1,14,2,3,1,14,1,15,1,18,1,14,2,15,1,8,1,10,3,8,1,14,1,3,7,16,15,17,6,16,32,17,1,14,1,17,1,16,5,17,3,6,1,17,2,16,9,17,2,16,9,17,1,14,4,17,6,16,3,17,2,14,3,17,3,16,4,17,5,16,5,17,6,14,6,17,8,14,4,17,3,14,12,15,1,18,2,8,7,15,1,14,4,15,6,14,7,17,1,16,7,17,2,6,1,14,1,7,5,6,1,14,32,7,7,8,14,15,5,18,2,8,7,18,2,15,1,18,2,15,5,18,2,8,1,18,2,15,2,18,2,8,15,18,4,8,8,18,15,15,3,18,3,8,10,18,10,8,3,18,3,8,38,10,27,8,2,10,46,8,1,10,5,8,44,10,32,8,3,10,2,8,16,10,5,8,5,10,15,8,5,10,7,8,4,10,1,8,21,10,7,8,2,10,3,8,2,18,1,4,2,19,6,4,28,19,6,4,2,18,1,8,3,10,6,8,6,10,13,8,17,10,3,8,26,10,3,8,42,18,1,4,2,19,5,4,13,18,6,8,41,18,4,8,14,18,12,10,5,4,5,19,10,4,1,8,5,10,6,8,5,10,4,8,16,10,4,8,2,10,3,8,1,10,5,8,1,10,5,8,2,10,8,8,2,10,97,8,1,10,30,8,3,10,36,9,1,8,2,10,1,18,2,4,5,19,10,4,5,18,2,4,2,9,2,10,1,4,650,},
{4,646,10,3,8,2,18,2,10,20,8,1,10,4,8,2,10,34,18,1,10,4,18,1,3,3,18,5,15,1,14,2,15,9,14,3,15,1,8,2,15,4,8,7,15,3,18,2,15,2,8,2,18,1,15,3,18,1,8,3,15,1,8,2,10,2,8,1,16,3,14,3,15,4,14,5,16,2,14,14,16,2,14,2,15,3,8,2,15,1,14,5,15,2,14,1,16,3,14,3,16,3,14,3,17,2,14,6,17,2,14,1,17,4,14,2,15,4,14,11,16,9,17,1,14,4,17,2,16,1,17,1,14,17,15,5,14,34,17,6,16,4,17,1,14,20,15,2,14,19,17,1,16,2,17,1,14,6,17,1,16,1,17,1,14,1,15,1,10,2,8,1,15,1,14,2,17,1,16,3,14,1,18,1,8,1,10,1,8,1,18,1,14,4,18,1,8,1,15,1,18,1,10,2,8,1,15,1,14,1,3,2,14,2,15,2,14,4,15,2,18,4,8,3,10,4,18,1,14,2,18,2,8,2,10,1,8,3,10,2,8,3,10,5,18,1,14,6,15,2,14,6,8,1,18,1,14,2,15,1,8,1,10,2,8,1,18,4,14,1,3,2,14,1,18,3,8,1,9,1,10,2,8,1,18,1,15,1,14,3,3,4,16,14,17,1,14,2,17,1,16,35,17,1,14,2,16,9,17,1,16,22,17,1,14,3,17,7,16,3,17,7,16,1,17,1,16,3,17,4,16,5,17,2,14,11,17,7,14,4,17,2,14,13,15,3,18,1,8,5,18,1,15,1,14,1,15,2,14,2,15,7,14,4,17,1,16,7,17,2,6,1,17,1,14,1,7,5,17,3,14,30,7,3,14,2,7,2,8,12,15,5,14,1,15,2,18,1,8,8,18,1,15,8,8,4,15,3,18,2,8,15,18,5,8,7,18,7,8,3,18,5,15,3,18,3,8,16,18,4,8,4,18,2,8,37,10,28,8,2,10,45,8,2,10,7,8,5,10,2,8,33,10,28,8,3,10,3,8,3,10,2,8,6,10,2,8,9,10,5,8,5,10,16,8,5,10,5,8,4,10,1,8,21,10,2,8,2,10,3,8,2,10,2,8,3,18,1,4,3,19,5,4,28,19,6,4,3,18,1,8,2,10,6,8,6,10,13,8,9,10,1,8,6,10,4,8,20,10,4,8,5,10,2,8,40,18,2,4,1,19,9,4,7,18,8,8,41,18,2,8,16,18,1,4,21,19,9,4,2,8,3,10,8,8,4,10,6,8,3,10,4,8,5,18,1,8,2,10,3,8,4,10,14,8,2,10,9,8,1,10,4,8,1,10,14,8,1,10,108,8,3,10,36,4,1,18,2,4,8,19,10,4,8,18,1,4,653,},
{4,646,10,4,8,1,18,2,10,20,8,1,10,34,8,1,10,9,8,1,18,1,3,1,14,1,18,1,8,2,10,1,8,2,18,5,15,3,14,2,15,3,14,2,15,1,8,3,15,3,8,7,15,1,14,2,15,4,8,3,18,1,15,2,18,1,8,5,10,3,8,1,16,3,3,1,14,1,15,4,14,6,17,2,14,13,16,3,14,2,15,3,8,1,15,1,14,1,16,3,14,2,15,1,14,1,17,1,16,4,14,1,16,4,14,2,16,3,14,5,16,2,17,1,14,1,17,3,14,2,15,2,8,2,15,1,14,10,17,1,16,3,17,1,14,2,17,1,16,1,17,1,14,6,17,3,14,16,15,2,8,2,15,2,14,4,3,1,14,31,17,3,16,5,17,1,14,20,15,1,14,3,3,1,14,16,17,1,16,1,14,2,15,1,8,2,15,1,14,2,17,1,16,1,17,1,14,1,15,1,10,2,8,1,14,2,16,1,17,1,14,1,17,1,14,2,18,1,8,2,15,1,14,5,15,2,14,2,8,1,10,1,8,1,15,1,14,1,3,2,14,2,15,2,14,4,15,1,8,3,18,3,8,1,10,5,18,1,14,3,18,1,8,1,10,2,8,3,10,2,8,3,10,4,8,1,15,1,14,14,15,2,14,3,15,1,8,1,9,1,8,1,18,4,14,1,3,2,14,1,15,1,18,1,8,2,9,2,8,4,15,2,14,4,3,1,16,4,17,1,16,6,17,3,14,3,17,1,16,36,17,3,16,14,17,1,16,4,17,1,16,5,17,1,16,5,17,2,14,1,17,9,16,2,17,10,16,2,17,3,16,6,17,2,14,3,17,1,14,13,17,1,14,13,15,1,14,5,15,5,8,4,18,1,15,4,14,3,15,5,14,5,16,6,17,5,14,3,7,2,14,2,17,3,14,30,7,3,14,2,7,3,8,11,15,8,18,2,8,8,18,1,15,7,18,1,8,2,18,1,15,3,18,2,8,16,18,4,8,7,18,6,8,6,18,9,8,24,18,4,8,35,10,28,8,2,10,46,8,1,10,7,8,3,10,5,8,32,10,28,8,2,10,3,8,11,10,4,8,8,10,7,8,2,10,17,8,6,10,3,8,13,10,3,8,16,10,2,8,2,10,2,8,3,18,1,4,2,19,6,4,28,19,6,4,4,18,1,8,1,10,6,8,6,10,14,8,7,10,2,8,7,10,2,8,20,10,5,8,5,10,2,8,41,18,1,4,2,19,10,4,5,18,8,8,15,18,4,8,10,18,1,8,5,18,2,8,4,18,2,8,15,18,1,4,22,19,9,4,2,8,2,10,10,8,3,10,6,8,3,10,9,8,3,10,3,8,4,10,2,8,3,10,8,8,4,10,13,8,1,10,14,8,1,10,54,8,2,10,51,8,3,10,36,4,7,19,3,4,2,19,10,4,662,},
{4,639,19,5,4,2,10,4,8,1,10,1,18,3,8,1,10,46,8,9,10,7,8,4,10,6,8,2,10,2,8,1,18,1,15,2,14,2,15,6,8,4,18,1,15,4,18,1,8,3,18,1,15,1,14,1,15,5,8,3,15,3,8,1,15,1,8,3,10,2,9,1,15,1,14,1,16,2,14,2,15,3,14,3,16,1,17,1,14,15,17,1,16,3,14,2,15,5,14,1,16,4,14,2,15,1,14,1,16,3,17,1,16,4,14,2,16,5,17,1,14,3,16,3,14,3,17,1,14,2,15,2,8,3,15,1,14,10,16,4,14,31,8,4,15,2,14,4,3,1,14,34,3,2,16,3,3,1,14,3,15,4,14,3,15,2,14,3,3,2,14,6,3,1,16,1,14,1,15,2,14,1,17,2,14,5,17,2,14,3,16,2,14,2,15,1,8,3,15,1,14,1,3,4,14,1,10,2,8,1,14,2,16,1,3,1,14,2,15,2,14,9,15,2,14,2,18,1,8,1,18,1,15,1,14,1,3,2,14,1,15,1,18,1,15,1,14,1,3,1,14,1,15,1,8,5,18,2,8,1,10,5,18,5,8,1,10,2,8,1,18,1,8,1,10,1,9,1,8,2,10,3,8,2,15,1,14,14,15,2,14,6,15,1,8,3,18,1,15,2,14,2,15,4,8,8,14,2,3,1,14,3,17,1,16,1,17,1,14,2,17,1,16,4,17,1,14,5,17,1,16,38,17,2,16,8,17,2,16,5,17,12,16,4,17,3,14,2,17,3,14,2,17,2,16,1,17,2,14,6,17,9,16,4,17,2,14,4,17,4,14,26,15,1,14,5,15,2,8,7,15,1,14,15,17,1,16,2,17,1,14,5,17,2,14,4,17,2,14,2,17,1,3,1,14,3,15,1,14,1,15,1,14,25,7,2,14,2,7,3,8,12,18,1,8,2,18,6,8,9,18,1,8,1,18,4,15,1,18,1,15,2,18,3,15,1,18,3,8,10,18,1,8,6,18,3,8,5,18,9,8,6,18,9,8,23,18,3,8,18,10,8,8,1,10,3,8,6,10,11,8,1,10,14,8,2,10,50,8,4,10,1,8,1,10,6,8,10,10,2,8,21,10,3,8,2,10,1,8,1,10,10,8,2,10,17,8,7,10,5,8,8,10,27,8,21,10,4,8,14,10,3,8,7,18,1,4,2,19,5,4,39,18,1,8,1,10,7,8,5,10,15,8,6,10,2,8,30,10,3,8,6,10,1,8,41,18,2,4,3,19,9,4,4,18,1,8,22,18,6,8,2,18,2,8,3,18,4,8,5,18,3,8,3,18,1,8,7,18,9,4,4,19,6,4,12,19,8,4,2,18,1,8,2,10,11,8,3,10,5,8,6,10,12,8,1,10,5,8,2,10,10,8,2,10,84,8,2,10,4,8,2,10,44,8,3,10,37,4,2,19,8,4,2,19,8,4,664,},
{4,639,19,5,4,3,10,5,8,4,10,45,8,1,18,1,15,7,8,3,10,15,8,2,10,2,8,1,18,1,15,6,8,2,15,3,8,3,18,1,15,1,14,3,15,1,8,3,18,1,15,8,8,2,15,6,8,2,10,1,9,1,8,1,15,1,14,5,15,1,14,4,17,1,16,2,14,14,17,1,16,3,17,1,14,2,15,3,14,2,16,6,14,2,16,4,14,1,17,1,16,3,14,1,17,1,16,6,14,3,16,3,14,3,17,1,14,2,15,1,8,4,15,1,14,9,17,1,16,3,14,32,8,4,15,1,14,39,3,7,14,3,15,10,14,3,3,1,14,5,16,2,14,2,8,2,14,8,16,2,14,2,3,1,16,1,3,1,14,2,18,1,8,1,10,1,8,2,14,1,3,4,14,1,10,2,8,1,14,1,3,3,14,1,15,1,8,1,15,1,14,7,3,1,14,1,15,1,8,1,15,1,14,1,18,4,14,1,3,2,14,1,18,1,8,1,15,1,14,1,3,1,14,2,8,2,10,2,8,1,18,2,10,3,8,3,18,5,8,1,10,2,18,2,8,1,10,1,9,1,8,2,10,3,8,1,15,2,14,6,16,1,17,1,14,14,15,1,8,4,15,1,18,1,8,1,18,1,15,1,14,3,18,1,8,1,18,1,8,2,9,1,10,1,8,1,14,11,17,1,16,3,17,2,14,4,17,1,16,40,17,2,16,6,17,14,14,5,17,7,14,4,17,2,14,2,17,4,14,10,17,2,14,3,17,2,16,2,17,2,14,5,17,6,14,24,15,1,14,6,15,1,8,2,15,3,8,2,15,1,14,15,17,1,16,1,17,1,14,2,7,2,14,2,17,2,14,3,17,1,16,2,17,1,14,5,15,6,18,1,15,1,14,6,7,1,14,3,15,1,7,4,14,5,7,9,8,8,15,1,8,6,18,6,8,10,18,4,15,4,18,7,8,10,18,2,8,5,18,17,8,7,18,8,8,23,18,2,8,19,10,14,8,8,10,6,8,3,10,22,8,3,10,40,8,6,10,5,8,11,10,4,8,27,10,9,8,3,10,16,8,5,10,9,8,7,10,27,8,20,10,5,8,13,10,2,8,8,18,1,4,2,19,3,4,41,18,1,10,8,8,6,10,13,8,7,10,2,8,3,18,2,8,77,18,2,4,2,19,9,4,3,18,1,8,20,18,2,8,1,18,3,14,1,18,2,8,2,18,3,8,2,18,4,8,5,18,5,8,8,18,10,4,2,19,8,4,13,19,6,4,3,18,1,8,2,10,12,8,2,10,7,8,4,10,9,8,3,10,18,8,2,10,84,8,2,10,4,8,2,10,14,8,1,10,28,8,3,10,38,4,2,19,8,4,3,19,1,4,670,},
{4,639,19,6,4,3,10,5,8,3,10,45,8,1,18,1,15,4,14,2,15,2,8,6,10,11,8,2,10,2,8,1,18,1,15,5,8,3,15,8,14,3,18,1,8,3,18,1,15,5,14,3,15,8,8,5,15,1,14,17,17,1,16,2,14,3,17,1,14,2,17,1,16,3,17,1,14,3,15,3,14,2,16,12,14,2,16,11,14,2,17,1,16,3,14,5,15,1,8,3,15,1,8,1,15,2,14,2,15,1,14,5,17,2,14,34,15,1,8,2,15,2,14,35,15,1,14,3,3,3,14,7,15,2,8,1,18,1,15,7,14,8,16,2,14,1,8,4,15,1,14,2,15,2,14,2,16,2,3,1,14,1,16,1,3,1,14,2,15,1,8,1,10,2,8,1,15,1,14,1,3,4,15,1,10,2,8,1,14,1,3,2,14,2,15,2,14,8,3,1,14,1,8,2,18,2,8,3,18,1,14,4,15,1,8,1,15,1,14,4,8,1,9,1,10,1,8,2,18,2,10,3,8,2,18,2,14,2,18,3,10,2,18,2,8,1,10,1,8,3,9,1,10,2,8,1,15,1,14,7,16,1,17,1,14,14,15,1,8,7,18,1,15,1,14,1,3,1,14,1,18,1,8,7,15,1,14,9,17,5,14,5,17,1,16,41,17,2,16,5,17,1,16,2,17,2,14,4,17,1,16,4,14,6,17,3,14,8,17,2,14,2,17,3,14,17,17,4,14,6,17,5,14,31,15,2,8,3,15,5,14,15,17,1,16,2,14,2,7,2,14,2,17,2,14,3,17,1,16,2,17,1,14,4,15,4,14,3,15,1,18,1,15,6,7,2,15,2,7,6,14,4,7,8,8,9,15,2,8,4,18,7,8,10,18,5,15,3,18,6,8,17,18,17,8,8,18,9,8,23,18,2,8,18,10,13,8,9,10,6,8,3,10,22,8,5,10,37,8,7,10,5,8,11,10,5,8,28,10,6,8,4,10,8,8,1,10,6,8,7,10,8,8,7,10,26,8,13,10,3,8,5,10,5,8,12,10,4,8,6,18,1,4,42,19,3,4,3,10,10,8,4,10,13,8,7,10,2,8,8,10,2,8,47,10,5,8,21,18,1,4,2,19,8,4,3,18,2,8,20,18,2,8,1,18,6,8,3,18,2,8,2,18,3,8,6,18,6,8,5,18,5,4,7,19,10,4,14,19,5,4,3,18,1,8,1,10,22,8,4,10,116,8,1,10,20,8,2,10,28,8,3,10,35,4,5,19,8,4,674,},
{4,639,19,8,4,1,10,52,8,2,15,1,14,1,15,2,14,3,15,5,8,3,10,11,8,2,10,2,8,1,15,4,8,6,15,4,14,4,15,2,18,1,8,3,15,6,14,4,15,8,8,4,15,1,14,16,16,4,14,3,17,3,16,3,14,5,15,2,14,2,16,12,14,3,17,1,16,10,14,2,16,3,17,1,14,2,17,1,14,2,8,3,15,8,14,41,15,4,14,3,15,3,14,12,3,1,14,16,15,2,14,3,3,2,14,5,3,1,14,2,15,2,8,4,15,5,14,8,16,1,3,1,15,1,10,1,8,4,14,2,15,2,14,3,16,1,14,2,16,1,3,1,14,2,15,1,8,3,18,1,14,2,3,3,14,1,18,1,8,1,10,1,8,1,14,1,3,2,14,1,15,3,14,8,3,1,14,1,8,1,10,1,8,2,10,2,8,1,18,2,14,3,15,1,8,2,15,1,14,3,15,1,8,1,10,1,8,2,18,1,8,1,10,3,8,2,18,2,3,2,18,3,10,2,8,2,10,2,8,3,10,3,8,1,15,1,14,7,16,1,17,2,14,13,15,2,8,6,18,1,14,2,3,1,14,1,18,1,8,8,15,2,14,6,17,5,14,4,17,1,16,42,17,3,16,4,17,2,16,1,17,2,14,5,17,1,16,3,17,1,14,17,17,3,14,1,17,2,14,28,17,6,14,29,15,3,8,4,15,5,14,14,17,1,16,2,14,10,17,2,16,1,17,2,14,2,18,2,15,2,14,5,15,4,8,1,15,8,7,6,14,3,7,8,8,9,15,2,8,1,18,10,8,11,18,5,15,3,18,3,8,9,18,3,8,6,18,18,8,8,18,9,8,44,10,7,8,14,10,7,8,2,10,22,8,7,10,36,8,10,10,1,8,12,10,4,8,28,10,6,8,5,10,7,8,1,10,5,8,8,10,11,8,3,10,8,8,2,10,16,8,14,10,4,8,4,10,5,8,12,10,4,8,6,18,1,4,41,19,5,4,3,10,10,8,3,10,12,8,8,10,2,8,7,10,3,8,13,10,7,8,26,10,7,8,6,10,1,8,14,10,1,4,2,19,5,4,4,18,4,8,22,18,6,8,8,18,1,8,8,18,2,8,6,18,4,8,1,18,1,4,6,19,11,4,15,19,5,4,3,8,2,10,23,8,1,10,139,8,2,10,28,8,3,10,18,8,3,10,13,4,6,19,8,4,674,},
{4,639,19,8,4,1,10,51,8,2,15,1,14,3,15,1,14,2,15,7,18,1,8,2,10,10,8,2,10,1,8,1,18,1,14,3,8,8,15,2,14,5,15,2,18,1,8,2,15,7,14,5,15,3,14,3,15,7,14,6,17,2,14,6,16,5,14,5,17,1,16,2,17,1,14,8,16,12,3,1,14,1,15,1,14,1,17,1,16,7,17,3,14,2,16,3,17,1,14,2,17,1,14,2,8,3,15,1,14,2,15,5,14,3,17,3,14,42,15,4,14,27,15,3,14,2,3,2,14,6,3,1,14,2,15,2,8,5,15,5,14,2,3,2,14,2,3,1,16,1,14,1,8,1,10,1,8,1,15,1,8,2,14,10,3,2,14,2,15,2,8,2,18,1,14,2,3,3,14,1,8,3,18,1,14,1,3,2,14,1,15,2,14,9,3,1,14,1,8,1,10,1,8,2,10,2,8,1,15,2,14,2,15,1,8,2,10,1,8,1,15,1,14,3,15,1,8,5,10,3,8,2,18,1,14,1,3,2,18,3,10,2,8,2,10,2,8,3,10,3,8,1,15,1,14,7,16,2,17,3,14,4,3,2,14,5,15,4,8,2,10,1,8,2,15,1,14,3,18,5,8,2,10,1,8,1,15,2,14,1,3,1,14,4,16,4,17,2,14,2,17,1,16,43,17,4,16,1,17,7,14,5,17,5,14,18,17,4,14,7,17,2,14,19,17,8,14,27,15,3,8,6,15,4,14,14,17,1,16,1,17,1,14,12,17,1,14,3,15,1,18,1,15,25,14,5,7,1,14,1,7,7,8,8,15,3,18,2,8,1,18,6,8,4,18,3,8,5,18,6,15,3,18,1,8,10,18,3,8,6,18,18,8,8,18,8,8,48,10,2,8,1,10,1,8,14,10,31,8,11,10,29,8,13,10,1,8,11,10,5,8,30,10,4,8,4,10,8,8,1,10,5,8,7,10,22,8,3,10,14,8,5,10,5,8,6,10,4,8,4,10,5,8,13,10,2,8,7,4,42,19,5,4,3,10,11,8,2,10,12,8,7,10,3,8,7,10,3,8,13,10,7,8,26,10,7,8,17,10,5,4,10,18,4,8,24,18,2,14,1,18,1,8,26,18,4,8,1,10,1,4,3,19,13,4,15,19,5,4,4,8,2,10,163,8,1,10,51,8,2,10,13,4,5,19,9,4,674,},
{4,640,19,7,4,2,10,44,8,8,15,1,14,5,15,5,14,3,15,1,18,1,8,1,10,14,8,1,14,2,15,1,8,9,15,2,14,2,15,2,18,4,15,2,14,2,15,4,14,3,15,4,14,5,15,6,14,2,16,4,17,1,14,6,16,5,17,1,14,3,17,1,14,2,17,2,16,1,14,7,3,1,16,12,14,1,15,2,14,1,17,2,16,6,14,1,17,1,14,2,16,4,17,1,14,1,17,2,14,1,15,1,8,3,14,11,17,3,14,33,15,3,14,5,15,2,8,1,15,2,14,25,15,4,14,3,3,2,14,10,15,1,8,5,15,5,14,2,3,1,16,2,3,3,14,1,9,1,10,1,15,1,14,1,15,2,14,10,16,1,3,1,14,3,15,2,18,1,15,1,14,1,3,4,15,1,8,2,15,1,14,2,3,1,14,1,15,2,14,4,15,2,14,4,3,1,14,1,8,1,10,5,8,1,14,4,18,1,8,2,10,2,8,1,15,1,14,3,8,2,10,1,8,2,10,2,8,1,18,4,14,1,18,4,8,1,10,1,8,1,9,1,10,2,8,3,10,3,8,1,14,7,17,1,16,4,17,1,14,4,16,2,3,1,14,8,15,1,8,1,10,2,8,1,15,1,14,1,15,4,14,1,15,1,18,1,10,3,9,1,8,1,15,1,14,6,16,5,17,3,16,43,17,4,16,1,17,5,14,2,17,8,14,22,17,3,14,6,17,4,14,8,17,4,14,6,17,9,14,25,15,6,8,4,15,2,14,1,15,2,14,13,17,3,14,14,7,2,15,1,14,4,15,2,18,3,15,2,14,4,15,10,14,4,7,2,14,2,7,9,8,5,15,3,8,1,18,1,8,3,18,2,8,6,18,1,15,2,18,2,8,5,18,5,15,3,18,1,8,10,18,3,8,7,18,15,8,11,18,6,8,38,18,1,8,28,10,33,8,9,10,29,8,63,10,1,8,3,10,15,8,6,10,23,8,4,10,13,8,5,10,6,8,5,10,4,8,4,10,5,8,22,4,42,19,6,4,2,10,14,8,6,10,5,8,5,10,3,8,6,10,6,8,13,10,6,8,26,10,4,8,20,10,6,4,9,18,5,8,24,18,2,14,1,18,1,8,26,18,4,10,2,4,2,19,13,4,15,19,5,4,4,18,1,8,2,10,144,8,3,10,44,8,1,10,37,4,4,19,10,4,675,},
{4,640,19,7,4,2,10,40,8,3,15,4,18,1,8,3,18,1,15,1,14,5,15,9,18,1,8,2,10,13,8,1,15,3,8,5,10,2,9,1,8,2,15,4,18,1,8,2,18,2,15,1,14,4,15,3,14,1,15,6,14,4,15,2,14,1,15,3,14,2,3,1,16,4,17,1,14,5,16,6,14,8,17,1,16,2,14,5,3,1,16,12,14,5,17,3,16,5,17,4,16,4,17,4,14,1,15,1,8,2,15,1,14,13,17,1,14,33,15,1,8,1,15,2,14,3,15,5,14,6,15,5,14,4,3,2,14,3,15,9,14,3,3,2,14,11,15,1,8,4,15,2,14,1,15,3,14,1,3,1,16,4,14,2,8,1,10,1,8,1,15,1,14,12,17,1,16,2,3,1,14,3,15,1,18,2,14,1,3,3,14,1,18,1,8,1,18,1,14,2,3,2,14,1,15,2,3,2,14,1,15,1,8,1,15,1,14,4,16,1,14,1,8,1,10,5,8,1,14,4,18,1,8,1,10,4,8,1,14,3,15,1,8,1,10,2,8,3,18,10,8,3,9,1,10,1,8,3,10,4,8,1,14,7,17,1,16,5,14,4,3,1,16,1,3,1,14,8,15,1,8,1,10,2,8,1,15,2,18,2,15,1,14,3,8,1,10,4,8,1,15,1,14,6,17,2,16,3,17,1,16,45,17,4,16,1,17,3,16,1,17,1,14,3,17,2,16,3,17,2,14,22,17,3,14,5,17,2,16,1,17,2,14,7,17,6,14,5,17,9,14,25,15,7,8,3,15,2,14,1,15,2,14,14,17,2,14,6,7,2,14,5,7,3,15,1,14,5,15,1,8,2,18,1,15,1,14,7,15,7,14,4,7,3,14,2,7,9,8,5,15,3,8,13,18,1,15,2,18,2,8,7,18,3,15,3,8,11,18,3,8,13,18,7,8,16,18,2,8,38,18,3,8,29,10,20,8,3,10,13,8,4,10,29,8,25,10,1,8,37,10,2,8,2,10,16,8,4,10,23,8,6,10,15,8,2,10,7,8,6,10,1,8,5,10,4,8,23,4,2,19,4,4,36,19,6,4,3,10,13,8,5,10,6,8,3,10,4,8,6,10,5,8,16,10,3,8,28,10,3,8,7,10,1,8,14,10,5,18,14,8,24,18,4,8,27,18,2,4,5,19,6,4,22,19,5,4,2,18,2,10,1,8,3,10,45,8,1,10,97,8,2,10,81,4,5,19,6,4,680,},
{4,640,19,8,4,2,10,36,8,3,15,1,14,6,15,8,14,4,15,7,18,1,8,3,10,13,8,2,18,1,8,6,10,4,8,2,15,1,18,1,8,5,15,1,14,8,15,3,8,1,15,3,14,4,15,2,14,1,15,3,14,2,16,5,14,5,16,5,17,1,14,4,16,1,14,4,17,1,16,2,14,4,3,1,16,12,14,2,15,1,14,5,17,1,16,13,17,2,14,3,8,3,15,1,14,1,16,1,17,1,14,11,17,2,16,1,17,1,14,15,3,1,14,12,15,1,8,3,15,1,14,3,15,4,14,6,15,1,8,3,15,4,14,2,3,2,14,3,15,9,14,2,3,1,16,1,3,1,14,5,3,2,14,5,15,1,8,3,15,1,14,4,15,1,14,1,3,1,16,2,3,1,16,1,14,1,8,1,10,2,8,1,15,1,14,3,15,2,14,6,16,4,3,1,14,4,15,1,8,1,14,1,3,3,14,1,18,2,15,1,14,1,3,2,14,2,15,1,14,1,16,2,14,1,8,3,14,3,3,1,16,1,3,1,15,1,8,3,10,2,8,1,18,1,14,3,15,1,8,1,10,4,8,1,14,4,8,1,10,2,8,2,18,12,8,5,18,1,8,1,9,1,10,3,8,1,14,7,17,1,16,5,17,1,14,3,3,2,14,6,3,1,14,2,15,1,8,5,18,3,15,1,14,2,15,1,8,1,10,4,8,1,15,2,14,7,17,2,16,47,17,4,16,1,17,3,16,2,17,5,16,4,17,3,14,11,17,5,14,4,17,2,14,5,17,6,14,7,17,7,14,4,17,9,14,25,15,7,8,3,15,1,14,26,7,3,14,3,7,2,8,2,15,1,14,5,15,1,8,2,18,1,15,1,14,7,15,3,7,2,15,2,14,4,7,15,8,4,15,3,8,13,18,1,15,2,18,2,8,5,18,1,8,2,18,3,15,1,18,1,8,5,18,2,8,5,18,2,8,14,18,3,8,1,18,2,8,56,18,4,8,27,10,19,8,5,10,13,8,4,10,28,8,16,10,3,8,6,10,3,8,37,10,1,8,2,10,16,8,3,10,24,8,6,10,3,8,4,10,17,8,39,4,2,19,4,4,37,19,6,4,3,10,11,8,6,10,5,8,3,10,5,8,6,10,4,8,48,10,2,8,7,10,3,8,13,10,5,8,1,18,12,8,25,18,4,8,27,10,1,4,6,19,5,4,23,19,5,4,1,18,1,10,3,8,3,10,13,8,2,10,128,8,1,10,81,4,4,19,8,4,680,},
{4,640,19,8,4,2,10,10,8,2,10,23,8,2,15,2,14,3,3,1,14,3,15,6,8,1,15,1,14,5,15,4,8,4,10,15,8,5,15,2,8,2,9,1,10,4,8,4,9,2,8,2,15,1,14,9,15,5,14,4,15,3,14,2,15,1,14,3,16,5,14,5,16,4,17,1,14,4,16,3,14,1,15,1,14,1,3,1,16,3,14,3,16,12,14,2,15,2,14,5,16,15,17,1,14,2,15,1,8,3,14,2,16,1,17,1,14,12,16,3,17,1,14,13,3,1,16,1,14,11,15,1,8,4,14,4,15,3,14,7,15,1,8,3,15,2,8,1,15,2,14,5,15,2,8,2,15,6,14,2,3,1,16,1,3,1,14,5,3,2,14,5,15,1,8,3,15,1,14,3,15,1,14,2,16,2,14,4,8,1,10,1,8,2,15,1,14,3,8,1,15,1,14,5,17,1,16,4,3,1,14,3,15,2,8,1,15,1,14,1,3,2,14,1,15,3,14,1,3,2,14,1,15,2,14,1,16,1,3,1,15,1,8,3,15,1,14,1,3,4,14,1,15,1,8,4,10,1,8,1,14,1,3,1,14,2,15,1,8,1,10,4,15,1,14,3,8,1,10,2,8,2,18,4,8,6,18,3,8,3,18,2,8,1,9,1,10,3,8,1,14,8,16,5,14,16,15,1,8,5,18,4,15,1,18,1,8,1,10,4,8,2,15,1,14,8,17,1,16,47,17,9,16,3,17,4,16,6,17,1,14,10,17,6,14,4,17,1,14,4,17,7,14,6,17,8,6,4,17,9,14,25,15,3,14,3,15,1,8,3,15,1,14,26,7,3,14,3,7,3,15,3,14,3,15,2,8,2,15,1,14,8,15,5,7,1,14,5,15,1,7,7,8,1,7,6,8,4,15,4,18,1,8,5,18,1,8,5,18,1,15,2,18,3,8,9,18,3,8,5,18,2,8,6,18,1,8,15,18,2,8,58,18,5,8,26,10,20,8,2,10,2,8,1,10,30,8,1,10,14,8,3,10,1,8,11,10,5,8,4,10,4,8,40,10,16,8,3,10,24,8,6,10,3,8,4,10,14,8,1,10,3,8,37,18,1,4,2,19,4,4,38,19,6,4,2,10,11,8,5,10,5,8,5,10,4,8,6,10,3,8,31,18,1,8,17,10,2,8,7,10,3,8,13,10,5,8,1,18,10,8,8,18,2,8,26,18,2,8,20,10,1,4,2,19,6,4,22,19,8,4,2,10,4,8,2,10,14,8,3,10,205,4,6,19,9,4,681,},
{4,641,19,7,4,2,10,10,8,3,10,22,8,2,15,2,14,2,3,3,14,2,15,6,8,1,15,1,14,5,15,3,8,4,10,16,8,5,15,4,8,1,9,1,10,3,8,4,10,2,8,2,15,1,14,19,15,3,14,1,15,1,14,3,16,5,14,5,16,3,14,6,16,2,14,2,15,1,14,1,16,4,14,3,16,11,3,1,14,1,15,1,14,1,15,1,8,3,15,1,14,1,16,15,17,1,14,1,15,1,8,3,15,1,14,2,17,1,14,13,17,1,16,2,17,1,14,13,3,1,16,1,14,10,15,1,8,1,10,2,8,1,15,1,14,13,15,1,8,8,15,2,14,3,15,7,14,2,15,1,14,3,3,3,14,5,3,2,14,5,15,5,14,3,15,1,14,2,3,1,16,1,14,3,15,1,10,2,8,1,15,1,14,3,15,1,8,2,14,5,16,5,14,4,15,3,14,9,3,1,14,2,15,2,14,1,16,1,3,1,18,1,10,1,8,2,15,1,14,1,3,5,14,1,18,1,8,3,10,1,8,1,14,1,3,1,14,2,15,1,8,2,10,3,8,1,15,1,14,2,15,1,8,1,10,2,8,2,18,2,8,8,18,2,8,1,18,4,8,1,9,1,10,3,8,1,14,8,17,1,16,4,14,4,17,2,14,4,3,3,14,3,15,1,8,3,9,2,8,1,18,3,15,1,18,1,8,1,9,1,10,5,8,1,15,1,14,7,16,49,17,2,16,2,17,4,16,5,17,3,16,6,14,10,17,7,14,7,17,7,14,7,17,20,14,27,15,1,14,5,15,1,8,2,15,1,14,25,7,4,14,3,7,3,15,1,18,2,15,3,18,1,8,4,18,1,15,6,14,1,15,5,7,1,14,5,15,3,7,12,8,4,15,1,14,1,15,2,18,9,8,2,18,2,15,1,18,6,8,7,18,3,8,5,18,2,8,22,18,1,8,59,18,2,14,2,18,1,8,28,10,16,8,4,10,48,8,3,10,4,8,7,10,5,8,6,10,2,8,41,10,16,8,3,10,24,8,5,10,26,8,32,10,2,8,3,18,1,4,1,19,5,4,38,19,6,4,2,18,1,10,9,8,6,10,5,8,6,10,3,8,5,10,3,8,32,18,1,8,18,10,1,8,7,10,3,8,13,10,5,8,1,18,9,8,8,18,6,8,23,18,2,8,18,10,3,4,2,19,6,4,22,19,6,4,4,10,228,4,5,19,9,4,682,},
{4,642,19,7,4,2,10,9,8,3,10,22,8,2,15,1,14,3,3,3,14,2,15,3,14,2,15,4,14,4,15,3,8,4,10,15,8,6,15,4,8,9,10,2,8,2,15,1,14,14,3,3,14,5,15,2,14,3,16,5,14,14,3,2,14,1,15,2,14,1,16,4,3,1,14,1,3,1,16,11,14,4,15,1,10,2,8,1,15,1,14,1,16,15,17,1,14,1,15,1,8,3,15,1,14,2,17,1,14,30,3,2,14,10,8,1,10,3,8,1,14,14,15,2,8,9,15,8,14,9,3,1,16,1,3,2,14,4,3,3,14,4,15,3,14,3,15,3,14,1,3,1,14,2,15,1,14,1,15,1,8,1,9,1,15,1,14,4,15,1,8,2,14,5,16,4,14,6,15,2,14,4,3,2,14,5,15,2,14,2,3,1,14,1,8,1,10,1,8,2,18,1,14,7,15,1,8,3,10,1,8,1,14,1,3,1,14,2,8,2,10,4,8,1,15,1,14,3,18,1,8,1,10,1,8,13,18,6,8,1,10,3,9,1,8,1,14,9,16,4,17,1,14,2,16,9,3,1,14,4,15,1,8,2,10,3,8,1,18,1,15,1,14,2,18,1,8,1,10,5,8,2,14,6,17,1,16,53,17,5,16,5,17,3,16,4,17,2,14,10,17,7,14,6,17,6,14,6,17,21,14,34,15,4,14,25,7,4,14,3,7,3,15,1,18,3,8,9,18,4,14,3,15,2,14,1,15,1,14,6,15,3,7,13,15,4,14,1,15,3,18,19,8,8,18,2,8,5,18,2,8,22,18,1,8,58,18,3,14,2,18,1,8,6,10,6,8,12,10,19,8,5,10,14,8,3,10,32,8,1,10,5,8,7,10,2,8,10,10,2,8,36,10,1,8,3,10,16,8,3,10,8,8,1,10,15,8,4,10,19,8,45,18,1,4,1,19,5,4,38,19,6,4,3,18,1,10,7,8,7,10,5,8,6,10,11,8,7,10,5,8,20,18,1,8,9,18,1,8,33,10,3,8,2,18,10,8,7,18,9,8,21,18,2,8,16,10,1,4,5,19,6,4,22,19,5,4,2,18,2,10,38,8,1,10,190,4,4,19,8,4,684,},
{4,642,19,7,4,3,10,9,8,3,10,22,8,1,15,1,14,9,15,1,14,5,15,5,14,1,15,3,8,3,10,6,8,2,10,9,9,1,8,4,15,5,8,9,9,1,8,2,18,1,15,5,14,5,3,1,16,6,3,1,14,4,15,2,14,3,3,1,16,4,14,13,3,2,14,2,15,2,3,1,16,5,3,1,16,10,3,1,14,5,15,1,10,2,8,1,14,1,16,9,17,4,16,3,17,1,14,1,15,1,8,2,15,1,14,3,17,1,14,8,17,2,14,19,3,3,14,6,3,2,14,2,8,1,10,2,8,1,15,1,14,10,15,6,8,12,15,2,14,12,3,1,16,3,3,1,14,3,3,3,14,4,15,2,14,5,15,1,14,4,15,4,8,2,14,5,15,3,14,1,17,4,16,3,14,1,15,1,14,11,3,3,14,4,8,2,14,4,8,1,9,1,8,2,15,2,14,2,15,1,14,3,15,1,18,2,8,1,10,1,8,1,14,3,15,1,8,1,10,5,8,1,15,1,14,1,3,2,14,1,8,1,10,1,8,8,18,1,8,6,18,3,8,2,10,3,8,1,15,1,14,9,17,1,16,3,17,2,16,11,14,5,15,1,8,1,10,4,8,1,14,3,18,1,8,1,10,5,9,1,8,1,14,6,16,5,17,2,16,48,17,4,16,7,17,3,14,1,17,3,16,2,17,2,14,6,17,3,16,2,17,3,14,5,17,6,14,5,17,1,16,3,17,8,16,4,17,1,6,4,14,36,15,2,14,26,7,7,8,3,15,3,18,1,8,12,15,1,14,16,7,6,14,1,7,1,14,1,7,1,14,1,15,5,14,2,15,3,18,22,8,5,18,1,8,6,18,1,8,23,18,1,8,58,18,3,14,2,18,1,8,4,10,12,8,8,10,18,8,6,10,13,8,5,10,30,8,2,10,5,8,6,10,3,8,10,10,2,8,35,10,3,8,2,10,26,8,1,10,17,8,2,10,21,8,13,10,2,8,29,18,1,4,2,19,4,4,38,19,7,4,3,10,6,8,9,10,3,8,7,10,12,8,6,10,4,8,29,18,4,8,10,10,3,8,20,10,2,8,7,18,6,8,7,18,9,8,15,18,3,8,1,18,3,8,15,10,1,4,6,19,6,4,22,19,4,4,2,18,2,8,1,10,38,8,2,10,130,8,1,10,57,4,5,19,7,4,685,},
{4,643,19,7,4,2,10,9,8,1,18,1,8,1,10,22,8,1,15,1,14,16,15,9,8,3,10,5,8,2,10,12,8,2,15,4,18,2,8,11,18,1,15,5,14,6,16,7,3,1,14,3,15,2,14,5,16,4,17,1,14,11,3,2,14,1,15,1,8,1,14,1,16,5,3,1,16,11,14,1,15,1,8,1,15,1,14,3,8,1,15,1,14,1,16,11,17,2,16,4,17,1,14,2,15,3,14,2,17,2,14,6,17,1,16,3,17,1,14,17,3,3,14,7,3,2,14,1,15,1,8,4,15,1,14,9,15,7,8,12,15,2,14,12,16,4,3,1,14,4,3,2,14,16,15,2,14,2,15,1,14,3,17,1,14,2,15,1,14,3,16,1,17,4,16,1,14,1,15,1,8,1,15,1,14,2,17,1,14,8,3,1,14,4,15,1,8,2,15,1,14,3,18,1,8,1,18,2,15,2,18,2,8,1,15,1,14,3,18,2,8,3,15,1,14,2,8,2,10,4,8,2,14,2,3,2,14,1,8,1,10,1,8,5,18,4,8,3,10,1,8,3,18,1,8,2,10,3,9,1,8,1,15,1,14,3,17,2,14,4,17,1,16,16,17,1,14,5,8,1,9,1,10,3,8,1,14,1,3,2,15,1,8,2,10,4,8,2,15,1,14,5,3,1,16,4,14,2,16,49,17,3,16,7,17,2,14,4,17,1,16,3,17,1,14,6,17,2,16,4,17,2,14,5,17,2,16,2,17,2,14,4,17,2,16,3,17,8,16,4,17,1,14,1,6,2,14,66,15,4,8,5,15,1,14,2,15,1,8,11,15,2,14,33,15,3,18,7,15,1,18,15,8,96,18,5,8,4,10,12,8,1,10,25,8,6,10,5,8,5,10,2,8,7,10,29,8,1,10,7,8,5,10,3,8,43,10,35,8,2,10,16,8,1,10,21,8,14,10,3,8,7,10,1,8,20,18,1,4,46,19,5,4,3,10,5,8,11,10,3,8,6,10,13,8,1,10,1,8,35,18,5,8,10,10,3,8,20,10,2,8,20,18,9,8,14,18,11,8,3,18,7,8,1,18,2,4,6,19,5,4,20,19,6,4,3,18,1,8,2,10,38,8,1,10,131,8,2,10,55,18,1,4,5,19,6,4,686,},
{4,644,19,6,4,2,10,9,8,1,18,2,8,1,10,21,8,1,15,1,14,9,15,4,14,3,15,3,14,4,15,2,8,3,10,5,8,2,10,4,8,1,10,7,9,1,8,1,18,1,8,22,15,1,14,5,16,3,3,3,16,1,3,1,14,3,15,2,14,6,16,4,14,11,16,1,3,1,15,1,8,1,15,1,3,1,16,5,3,1,16,11,15,1,8,2,15,1,14,4,3,1,16,11,17,1,14,1,17,1,16,5,14,2,15,2,14,2,16,2,17,2,14,5,16,4,17,1,14,17,3,3,14,4,3,4,14,2,15,1,8,2,15,1,14,5,15,2,14,5,15,7,8,10,15,2,14,13,16,5,14,22,15,2,14,5,16,1,17,1,14,11,17,1,14,1,8,1,10,1,8,1,14,2,17,1,14,10,3,2,14,1,8,4,14,3,15,1,18,1,15,2,14,1,15,1,8,1,10,1,8,2,14,4,15,1,18,1,15,1,18,1,8,2,18,1,8,1,10,4,8,1,18,1,15,1,14,2,3,2,14,1,8,1,10,1,8,1,15,1,18,1,15,2,18,4,8,3,10,2,8,4,10,3,8,2,15,2,14,3,17,3,14,3,17,1,16,17,3,1,14,4,15,1,8,1,10,4,18,1,15,1,14,1,15,1,18,1,15,1,18,2,8,1,10,2,8,1,15,2,14,4,3,1,16,4,3,1,17,1,16,31,17,3,16,16,17,2,16,7,17,2,14,4,17,1,16,2,17,2,14,5,17,1,16,6,17,2,14,5,17,2,16,2,17,2,14,4,17,2,16,3,17,3,14,1,17,4,16,3,17,1,6,1,14,69,15,4,8,5,15,1,14,2,15,1,8,11,15,3,14,11,15,2,14,1,7,1,15,3,14,6,15,5,14,2,15,4,18,2,8,2,18,19,8,1,18,1,8,83,18,1,8,11,18,1,8,7,10,37,8,7,10,4,8,16,10,13,8,2,10,12,8,2,10,7,8,5,10,4,8,42,10,53,8,1,10,22,8,12,10,4,8,25,10,1,8,1,18,2,4,46,19,5,4,3,10,5,8,12,10,19,8,1,10,3,8,34,18,3,8,13,10,3,8,21,10,1,8,20,18,2,8,14,18,3,8,2,10,1,18,25,4,6,19,2,4,22,19,6,4,3,18,1,10,173,8,2,10,54,4,7,19,5,4,687,},
{4,644,19,6,4,2,10,9,8,1,18,2,8,1,10,18,8,1,10,2,8,1,15,1,14,9,15,4,14,11,15,2,8,2,10,6,8,1,10,3,8,1,18,1,8,2,10,6,8,5,10,4,9,1,8,11,9,1,8,2,15,5,14,1,3,2,14,4,3,2,14,2,15,3,14,6,16,4,14,11,16,1,3,1,15,1,8,1,15,1,16,6,3,1,16,10,3,1,15,1,10,1,8,1,14,1,3,2,16,14,14,3,16,5,17,1,14,4,17,1,16,2,17,1,14,3,17,3,16,4,17,1,14,2,17,2,16,2,17,1,14,9,3,3,14,4,3,1,16,2,3,1,14,2,15,3,14,5,15,1,8,2,15,1,14,6,15,2,14,2,15,2,8,2,15,2,8,4,15,3,14,14,16,4,3,1,14,28,16,2,14,11,17,1,16,1,14,1,10,2,8,1,15,1,14,12,16,2,14,1,8,1,10,2,8,1,15,1,14,7,15,1,8,1,10,2,8,1,14,5,15,2,18,1,8,5,10,3,8,1,15,1,14,5,15,1,10,2,8,1,14,4,18,4,8,3,10,2,8,4,10,3,8,1,15,3,14,2,17,1,16,2,17,1,14,3,17,1,16,12,14,3,16,5,14,2,15,1,8,1,9,1,10,5,8,1,18,1,14,1,3,1,14,2,18,1,10,2,8,1,18,1,15,2,14,3,3,1,16,16,17,2,16,18,17,1,14,3,17,2,16,8,17,2,16,5,17,1,16,8,17,4,14,5,17,1,14,4,17,1,16,7,17,1,14,7,17,1,16,3,17,2,14,4,17,2,16,1,17,5,6,1,17,7,14,37,15,3,14,30,7,2,15,2,8,5,15,1,14,2,15,1,8,4,15,5,8,4,15,3,14,6,15,13,14,1,15,13,18,1,8,5,18,5,8,3,18,5,15,1,18,3,8,8,18,2,8,74,18,2,8,14,10,1,8,6,10,7,8,3,10,17,8,1,10,7,8,7,10,3,8,8,10,3,8,7,10,11,8,3,10,11,8,3,10,7,8,5,10,8,8,1,10,2,8,12,10,3,8,20,10,53,8,2,10,24,8,1,10,2,8,6,10,4,8,9,10,1,8,5,10,3,8,6,10,2,8,1,18,2,4,46,19,6,4,2,10,6,8,10,10,9,8,13,10,2,8,33,18,4,8,15,10,5,8,14,10,7,8,17,18,1,8,16,18,1,8,1,18,1,10,1,4,2,18,1,4,14,18,7,4,32,19,5,4,3,18,1,10,157,8,3,10,2,8,2,10,10,8,2,10,42,4,711,},
{4,644,19,6,4,2,10,9,8,1,18,2,8,1,10,21,8,1,15,1,14,4,15,2,14,3,15,4,14,10,15,4,8,3,10,8,18,3,8,1,9,1,10,5,8,2,9,2,10,4,9,4,10,3,8,10,15,4,14,4,15,3,14,5,15,2,14,6,16,1,17,3,14,10,17,1,16,1,3,1,15,2,14,1,16,5,3,2,16,10,14,1,15,1,8,1,15,1,14,1,16,9,17,2,16,5,14,3,16,5,17,1,14,4,17,1,16,3,17,1,14,4,17,1,16,12,14,8,3,1,16,2,3,2,14,3,3,4,14,2,15,2,14,6,8,2,15,2,14,3,3,1,14,7,15,5,8,3,15,1,14,17,16,4,3,1,14,28,16,2,17,1,14,10,17,1,16,1,14,1,8,1,10,2,15,1,14,12,16,1,3,1,14,1,8,4,15,1,14,5,3,2,14,1,8,1,10,1,8,1,18,1,14,1,3,3,14,3,8,2,10,1,8,3,10,3,18,1,14,7,8,2,15,1,14,5,18,5,8,1,10,2,8,4,10,2,8,2,15,2,14,3,16,4,17,1,14,2,17,1,16,12,14,3,16,6,17,1,14,1,15,1,8,3,10,4,8,1,14,1,3,2,14,1,8,1,10,2,8,3,15,1,14,3,3,1,16,15,17,1,14,2,16,17,17,1,14,6,17,1,16,6,17,4,16,4,17,1,16,3,17,6,16,3,14,5,17,1,14,2,17,2,16,7,17,2,14,6,17,2,16,3,17,2,14,4,17,5,14,3,6,1,17,7,6,1,14,1,6,3,14,33,15,1,14,14,7,1,14,12,7,2,15,5,8,5,7,1,14,4,15,1,14,8,15,2,8,2,15,3,14,6,15,7,8,2,15,7,8,1,15,7,18,1,8,10,18,2,8,1,18,1,8,2,18,12,8,5,18,1,8,13,10,1,8,5,18,1,8,69,10,3,8,16,10,17,8,1,10,4,8,2,10,1,8,19,10,4,8,5,10,11,8,4,10,9,8,3,10,8,8,5,10,14,8,8,10,5,8,18,10,54,8,3,10,5,8,5,10,4,8,7,10,3,8,11,10,2,8,8,10,2,8,4,10,4,8,8,18,2,4,47,19,5,4,2,10,6,8,12,10,7,8,13,10,3,8,33,18,1,8,10,10,4,8,5,10,5,8,11,10,3,8,1,10,3,8,22,10,4,8,8,18,1,8,1,18,1,4,58,19,4,4,3,18,2,10,158,8,1,10,3,8,2,10,10,8,1,10,42,4,712,},
{4,645,19,5,4,2,10,10,8,2,10,5,8,1,10,16,9,1,15,1,14,4,15,2,14,4,15,2,14,4,15,1,14,5,15,1,8,3,15,1,14,2,15,1,8,3,10,4,8,1,18,3,9,1,10,3,9,4,10,1,9,2,8,2,18,2,8,2,10,5,8,3,15,3,8,3,15,5,14,3,15,1,8,4,15,1,14,4,15,5,14,17,16,1,3,1,15,1,14,1,16,6,14,1,3,1,16,9,3,1,14,5,3,1,16,7,17,2,16,6,17,2,16,7,17,1,14,4,17,1,16,3,14,6,16,10,14,8,3,1,16,5,14,7,3,1,14,9,18,1,15,1,14,6,3,1,14,7,15,4,8,1,15,2,14,4,3,1,14,8,15,1,14,2,16,1,14,3,16,3,14,12,3,2,14,6,15,2,14,5,16,5,17,1,14,2,17,3,16,3,17,1,14,2,8,1,10,1,8,2,14,3,17,1,14,6,3,1,16,1,3,1,14,2,15,4,14,5,3,3,14,1,8,3,14,2,3,3,14,2,15,1,8,7,10,2,18,1,14,3,18,1,14,3,15,4,14,5,15,1,14,2,18,2,8,1,10,3,8,4,15,1,8,3,15,1,14,2,16,6,17,2,16,12,17,1,14,2,16,2,17,3,16,2,17,1,14,1,15,2,8,2,10,3,9,1,8,1,15,2,8,1,9,1,10,2,8,3,15,2,14,2,3,1,16,15,17,7,16,13,14,5,7,1,14,2,16,5,17,2,6,1,17,3,16,2,17,3,16,2,17,1,14,4,17,2,16,2,17,1,14,3,17,2,14,2,17,1,16,4,17,2,16,3,17,4,16,2,17,3,16,3,17,1,14,8,17,1,14,4,17,14,14,55,7,1,15,2,7,2,15,3,8,7,15,3,14,15,15,5,14,6,15,6,8,1,15,3,14,2,15,1,18,1,8,3,18,1,15,1,14,3,15,2,8,10,18,10,8,4,18,5,8,19,10,2,8,3,18,4,8,39,18,2,8,27,10,2,8,4,10,1,8,10,10,18,8,1,10,1,8,7,10,1,8,18,10,4,8,1,10,14,8,4,10,10,8,1,10,8,8,6,10,7,8,4,10,4,8,5,10,1,8,3,10,3,8,13,10,13,8,2,10,44,8,6,10,2,8,1,10,1,8,3,10,2,8,9,10,3,8,10,10,4,8,6,10,1,8,6,10,5,8,8,18,1,4,1,19,4,4,43,19,4,4,2,18,1,10,4,8,14,10,6,8,4,10,2,8,6,10,5,8,43,10,4,8,6,10,4,8,6,10,1,8,4,10,3,8,26,10,3,8,8,18,4,4,1,19,7,4,15,19,3,4,1,19,3,4,25,19,6,4,5,10,5,8,3,10,155,8,1,10,10,8,1,10,40,18,3,4,712,},
{4,645,19,5,4,2,10,17,8,1,10,16,9,1,8,1,14,4,15,1,14,10,15,2,14,2,17,1,14,2,15,1,8,3,15,1,14,2,15,1,8,3,10,5,18,2,8,1,10,3,9,1,8,2,9,1,10,3,9,1,8,2,18,3,8,1,10,5,8,1,9,1,8,1,15,7,14,1,15,4,14,2,8,1,9,1,10,2,8,1,15,1,14,5,15,3,14,5,15,1,14,9,17,1,16,3,3,3,16,6,14,1,3,1,16,8,3,1,14,6,16,7,17,1,14,1,17,1,16,10,17,7,16,1,17,3,16,3,17,1,14,5,17,1,16,6,17,1,14,7,17,1,16,7,3,1,14,13,15,5,14,2,3,1,14,12,15,6,14,2,3,1,16,4,14,4,15,1,14,4,16,2,14,4,16,1,14,2,15,1,14,8,3,2,16,1,3,2,14,5,15,2,14,4,17,1,16,5,17,1,14,2,17,1,16,5,17,1,14,2,15,1,8,2,15,1,14,2,16,2,14,2,15,2,14,1,17,1,16,2,14,12,3,3,14,1,8,2,15,1,14,3,3,3,14,1,15,1,8,7,10,2,18,1,14,2,18,2,15,1,14,4,15,2,14,4,15,1,14,3,15,1,8,2,10,4,8,2,15,3,9,1,8,1,15,1,14,2,16,21,17,2,16,2,17,2,14,1,16,3,14,3,15,1,18,1,8,1,9,1,10,2,9,1,8,2,10,4,8,1,15,1,8,2,15,1,14,2,3,2,16,12,17,6,14,4,17,1,16,10,17,1,14,5,7,1,14,2,17,10,16,3,17,3,16,2,17,1,14,5,17,1,16,2,17,1,14,2,17,1,16,1,17,1,14,2,17,1,16,3,17,1,14,1,17,4,14,3,17,1,16,2,17,4,16,2,17,1,14,8,17,1,14,4,17,14,14,8,17,1,14,34,7,1,14,10,7,1,15,7,8,7,15,3,14,6,3,2,14,9,15,4,14,8,15,5,8,1,15,2,14,2,18,1,8,4,15,1,14,4,15,2,8,9,18,4,8,1,18,2,15,2,18,2,8,4,18,5,8,25,18,4,8,19,18,1,8,18,18,2,8,33,10,1,8,9,10,21,8,5,10,6,8,5,10,5,8,5,10,20,8,2,10,19,8,6,10,8,8,4,10,4,8,9,10,7,8,10,10,11,8,5,10,15,8,1,10,27,8,6,10,8,8,9,10,2,8,11,10,4,8,6,10,1,8,6,10,5,8,7,18,2,4,1,19,5,4,42,19,5,4,2,10,4,8,14,10,13,8,5,10,6,8,42,10,5,8,6,10,3,8,3,18,1,8,1,10,2,8,4,10,2,8,28,10,2,8,8,18,2,10,1,4,2,19,7,4,14,19,8,4,24,19,6,4,6,10,5,8,3,10,49,8,1,10,157,18,3,4,712,},
{4,645,19,5,4,2,10,5,8,2,10,9,8,2,10,17,8,1,15,1,14,3,15,1,14,17,15,2,8,1,15,2,14,2,15,1,8,3,10,11,9,1,8,2,9,1,10,4,9,1,8,1,18,2,8,2,10,5,8,1,9,1,8,1,15,5,14,6,15,1,14,1,15,1,8,1,9,2,8,2,15,1,14,13,15,1,14,4,17,1,14,4,16,13,3,1,16,9,3,4,14,2,3,1,16,7,17,2,16,9,17,2,14,5,17,1,16,4,17,1,14,4,17,2,16,1,17,1,14,2,17,1,16,3,17,1,14,8,16,5,3,3,14,17,15,3,14,2,3,1,14,6,15,2,14,5,15,1,18,1,8,1,15,2,14,2,3,1,16,4,14,8,16,3,14,10,3,1,14,5,3,1,16,3,3,1,14,5,15,2,14,5,17,2,16,1,17,1,14,5,17,1,16,4,17,1,14,2,15,2,14,2,17,1,16,2,17,1,14,2,15,2,14,1,16,3,14,15,18,1,8,3,15,1,14,2,3,2,14,2,15,1,8,7,10,1,8,1,18,1,14,2,18,2,15,1,14,10,18,2,14,2,18,1,8,2,10,2,9,1,10,1,8,3,15,2,8,2,15,1,14,2,16,22,17,1,16,4,17,1,16,3,14,5,18,1,8,3,9,2,10,4,8,1,15,2,8,2,15,1,14,3,3,4,16,9,17,7,14,4,17,1,16,8,17,2,14,12,17,3,16,6,17,3,16,2,17,1,14,3,17,2,16,8,17,1,14,3,17,8,14,5,17,4,14,1,17,5,14,6,17,3,14,3,17,2,16,2,17,10,14,8,17,1,14,16,15,1,14,16,7,4,14,8,7,1,15,4,7,1,15,2,8,7,15,2,14,33,15,2,8,2,15,2,18,1,8,5,15,1,14,4,15,3,18,1,8,6,18,2,15,1,18,5,15,3,18,2,8,2,18,6,8,48,18,2,8,62,10,22,8,4,10,4,8,7,10,6,8,3,10,35,8,2,10,6,8,4,10,10,8,1,10,6,8,10,10,2,8,1,10,1,8,29,10,2,8,1,10,11,8,1,10,42,8,15,10,1,8,5,10,4,8,13,10,3,8,9,18,2,4,1,19,5,4,42,19,5,4,3,10,3,8,15,10,12,8,6,10,3,8,44,10,5,8,5,10,3,8,6,10,2,8,4,10,2,8,30,10,1,8,5,18,3,4,3,19,8,4,14,19,8,4,24,19,6,4,3,18,1,10,59,8,2,10,153,4,718,},
{4,645,19,5,4,2,10,5,8,2,10,4,8,1,10,4,8,2,10,17,9,1,8,1,15,3,14,20,15,5,8,3,10,13,9,3,10,4,9,2,8,3,9,1,10,5,8,3,15,4,14,7,15,1,14,1,15,1,8,4,15,1,14,14,15,1,14,4,16,1,14,4,16,23,3,7,16,18,17,2,14,5,17,1,16,4,17,1,14,4,16,4,14,3,17,3,14,6,17,1,16,1,14,2,16,2,3,1,14,21,8,2,15,1,14,1,3,3,14,4,15,2,14,3,3,1,14,2,15,4,14,4,16,2,17,1,3,1,14,8,16,3,14,9,3,2,14,4,3,1,16,4,3,2,14,4,15,2,14,16,17,1,16,2,17,1,14,5,16,4,14,2,15,2,14,2,16,2,14,4,3,1,16,1,3,1,14,1,15,2,14,6,18,1,8,3,15,1,14,6,15,1,8,7,10,1,8,1,18,1,14,1,18,4,14,9,15,1,8,1,18,1,15,2,18,1,8,1,10,2,8,3,10,1,9,1,8,1,15,2,8,3,14,2,16,30,17,1,14,6,15,2,18,1,8,1,9,1,10,4,8,1,15,2,8,2,15,1,14,4,3,4,16,6,17,1,16,7,17,3,14,3,17,1,16,3,17,8,14,12,17,2,16,6,17,1,16,3,17,1,14,2,17,4,16,2,17,2,16,3,17,1,14,5,17,5,14,8,17,1,14,5,17,3,14,5,17,4,14,2,17,1,16,2,17,10,14,15,15,4,14,6,15,2,14,16,7,5,14,6,7,2,15,3,7,3,15,3,8,5,15,2,14,22,15,5,14,7,15,2,8,8,18,1,15,1,14,3,15,6,18,1,8,2,18,10,15,4,18,9,8,23,10,3,8,21,18,3,8,55,10,4,8,5,10,29,8,5,10,45,8,4,10,1,8,2,10,1,8,1,10,20,8,10,10,3,8,34,10,53,8,15,10,1,8,4,10,4,8,11,10,5,8,9,18,3,4,2,19,4,4,43,19,4,4,3,10,3,8,1,10,2,8,13,10,13,8,51,10,7,8,2,10,4,8,6,10,2,8,4,10,2,8,36,18,1,4,4,19,9,4,14,19,8,4,24,19,6,4,2,10,61,8,2,10,13,8,1,10,34,8,1,10,97,8,4,10,3,4,718,},
{4,645,19,5,4,2,10,5,8,1,10,5,8,1,10,4,8,2,10,18,8,2,15,1,14,22,15,3,8,3,10,21,9,1,8,2,18,1,8,2,9,1,10,3,8,4,15,4,14,7,15,4,8,2,15,1,14,20,17,1,14,1,15,2,14,1,16,23,3,2,14,1,3,1,16,4,14,3,17,1,16,15,17,1,14,4,17,1,16,4,17,1,14,3,17,1,16,3,17,1,14,2,17,3,14,7,16,2,14,19,15,1,14,2,15,4,8,2,15,1,14,1,3,3,14,12,15,1,14,2,15,1,14,4,3,2,14,10,16,3,14,15,3,1,16,4,3,1,14,5,15,2,14,8,15,7,14,8,17,1,16,5,14,2,15,2,14,2,16,1,17,1,14,1,15,1,14,2,16,2,14,2,15,2,14,2,3,1,14,3,18,1,8,3,15,1,14,6,15,1,8,7,10,1,8,1,18,1,3,1,18,4,14,9,15,1,8,2,15,2,18,1,8,1,9,1,8,4,9,2,8,1,15,2,8,3,14,1,3,1,16,31,14,9,15,1,8,1,10,3,9,1,8,1,15,5,14,6,3,1,17,1,16,5,17,3,16,8,17,5,16,3,17,1,16,1,17,1,16,3,17,3,14,5,7,4,14,3,6,1,17,2,16,8,17,1,14,2,17,2,14,1,17,2,14,3,17,4,14,6,17,3,14,16,17,2,14,4,17,5,14,1,17,6,14,3,17,2,14,19,15,3,14,19,7,2,14,3,7,4,14,5,7,4,15,3,7,4,15,8,14,23,15,2,8,2,15,3,14,5,15,2,8,8,18,1,14,3,15,1,18,1,8,1,15,4,18,1,8,1,18,5,8,4,18,15,8,24,10,3,8,21,18,3,8,1,18,1,8,49,10,8,8,6,10,27,8,3,10,47,8,6,10,22,8,48,10,53,8,14,10,1,8,1,10,1,8,3,10,4,8,10,10,6,8,10,18,2,4,2,19,4,4,43,19,5,4,2,10,2,8,2,10,2,8,14,10,13,8,22,10,2,8,9,10,2,8,13,10,16,8,8,18,1,8,2,10,2,8,1,18,2,8,1,10,1,8,12,18,2,8,16,18,1,4,2,19,6,4,20,19,8,4,20,19,8,4,4,10,13,8,1,10,47,8,1,10,13,8,2,10,113,8,2,10,15,8,1,10,8,4,718,},
{4,645,19,4,4,3,10,10,8,2,10,25,8,1,15,1,14,12,7,1,14,9,15,2,8,2,10,23,9,1,8,2,18,2,8,2,10,3,9,1,8,2,18,1,15,5,14,6,15,1,14,2,15,3,14,15,15,1,14,7,15,2,14,1,16,23,3,1,14,3,16,3,14,4,16,17,14,4,16,5,17,1,14,3,17,1,16,2,17,3,16,3,17,1,14,10,15,1,14,14,3,1,14,2,15,1,14,2,15,3,8,3,15,1,14,1,3,2,14,30,16,2,14,2,17,1,14,16,3,1,16,3,3,1,14,6,15,1,14,6,15,3,8,8,15,1,14,3,17,1,16,6,17,1,14,3,15,1,14,2,17,1,16,1,14,2,15,2,14,1,16,2,14,2,8,2,14,1,3,2,14,3,15,1,18,2,15,1,14,6,15,1,8,7,10,2,8,1,18,1,3,1,18,4,14,6,3,1,14,2,15,1,8,1,15,2,14,1,18,1,8,3,18,2,8,3,15,1,14,2,15,1,8,1,15,1,14,1,16,32,17,1,14,9,15,1,8,4,15,5,14,7,17,2,16,4,17,3,16,25,17,5,14,11,6,1,17,2,16,6,17,1,14,1,17,2,14,11,17,2,14,22,17,1,16,1,17,1,14,3,17,4,14,3,17,4,14,46,7,10,14,4,7,7,14,1,7,1,14,34,15,1,8,5,15,2,14,3,15,4,18,1,8,6,15,1,14,3,15,1,8,2,18,1,15,3,18,4,8,7,18,15,8,13,18,4,8,7,10,4,8,22,18,3,8,49,10,9,8,4,10,28,8,4,10,44,8,9,10,18,8,51,10,50,8,5,10,5,8,1,18,2,8,2,10,3,8,1,10,8,8,9,10,7,8,9,18,4,4,1,19,3,4,45,19,4,4,2,10,2,8,2,10,2,8,15,10,12,8,21,10,5,8,7,10,2,8,4,10,18,8,6,10,3,8,5,18,3,8,1,10,2,18,2,10,4,8,11,18,3,8,12,18,2,10,1,18,1,4,2,19,6,4,25,19,2,4,21,19,7,4,4,10,14,8,2,10,61,8,2,10,112,8,2,10,13,18,4,4,725,},
{4,645,19,4,4,2,10,10,8,3,10,24,9,1,8,1,15,1,14,11,7,2,14,9,15,2,8,2,10,23,9,1,8,2,18,2,8,2,10,4,8,3,15,7,14,1,15,1,14,14,15,1,14,8,15,4,14,4,15,2,14,1,16,23,14,4,16,3,14,3,16,18,17,1,14,2,16,6,17,6,14,3,17,1,16,4,14,9,15,3,14,16,15,2,14,2,15,1,8,3,15,2,14,1,3,2,14,29,16,3,14,19,3,4,14,14,15,3,8,9,15,1,14,2,16,5,17,1,14,8,16,2,14,2,15,1,14,2,16,2,14,2,8,2,15,1,3,2,14,12,15,2,8,6,10,3,8,1,18,1,3,1,18,4,14,6,3,1,14,2,15,1,8,1,15,1,14,2,18,1,8,4,18,1,8,3,15,1,14,2,15,3,14,1,16,31,17,2,14,1,3,2,14,7,15,3,14,3,15,1,14,9,17,1,16,38,17,8,14,5,17,1,16,3,17,1,16,2,17,4,14,3,15,1,8,2,15,1,14,4,17,2,14,22,17,1,16,1,17,1,14,59,7,10,14,1,7,1,14,2,7,6,14,38,15,2,8,4,15,6,14,3,15,1,8,6,15,1,14,3,15,1,8,2,18,1,15,1,18,6,8,7,18,14,8,12,18,7,8,3,18,1,8,3,10,4,8,3,18,2,8,16,18,3,8,50,10,8,8,3,10,29,8,4,10,44,8,9,10,17,8,50,10,52,8,5,10,5,8,1,18,2,8,2,10,2,8,3,10,8,8,9,10,6,8,6,10,1,8,2,18,4,4,49,19,5,4,1,10,1,8,14,18,2,8,5,10,12,8,20,10,5,8,7,10,2,8,4,10,17,8,8,10,2,8,2,15,1,8,1,18,4,8,1,10,9,8,10,18,3,8,12,18,2,4,4,19,6,4,42,19,2,4,4,19,6,4,3,10,16,8,2,10,174,8,2,10,13,18,1,4,11,19,7,4,711,},
{4,645,19,4,4,1,10,10,8,3,10,25,9,1,15,2,14,9,17,1,14,1,7,2,14,9,15,2,8,2,10,12,9,2,10,10,9,1,8,4,9,1,10,5,8,4,15,7,14,22,15,4,14,5,8,1,15,1,14,1,16,22,14,7,17,1,16,22,17,1,16,6,17,1,16,4,17,1,14,4,17,1,16,4,14,2,15,2,14,3,15,5,14,17,15,1,14,3,8,2,15,1,14,3,3,2,14,25,17,1,16,7,14,24,15,1,14,13,15,5,8,6,14,2,16,4,17,1,14,4,17,1,16,5,17,1,14,5,16,2,14,1,15,1,8,2,15,1,14,1,3,1,14,11,15,2,8,7,10,3,8,1,18,1,3,1,18,4,14,6,3,1,14,2,15,3,14,2,15,1,8,6,15,2,14,3,15,2,14,2,16,31,17,3,16,2,3,1,14,2,3,2,14,18,16,47,17,1,14,4,17,1,16,3,17,1,16,2,17,2,16,1,17,1,14,3,15,1,8,3,15,2,14,3,17,1,14,22,17,1,16,1,17,1,14,43,15,2,14,14,7,10,14,2,7,7,14,41,15,7,14,2,15,1,14,4,15,1,8,3,18,1,15,1,14,4,15,1,18,1,8,1,18,1,15,1,18,2,15,3,18,2,8,6,18,6,8,19,18,8,8,4,18,1,8,2,10,5,8,2,18,2,8,16,18,3,8,49,10,9,8,3,10,28,8,5,10,8,8,2,10,34,8,9,10,8,8,1,10,8,8,39,10,2,8,7,10,54,8,5,10,5,8,1,18,2,8,2,10,2,8,3,10,8,8,9,10,6,8,10,14,1,18,2,4,49,19,5,4,1,10,1,8,14,18,3,8,5,10,3,8,4,10,4,8,3,10,8,8,10,10,5,8,12,10,17,8,9,10,1,8,1,18,1,14,1,15,1,18,4,10,3,18,1,10,7,8,9,18,3,8,10,18,3,4,3,19,8,4,41,19,4,4,3,19,4,4,4,10,17,8,2,10,67,8,3,10,119,4,5,19,15,4,710,},
{4,644,19,5,4,1,10,10,8,3,10,25,8,1,15,1,14,10,17,1,14,1,7,3,14,9,15,2,8,2,10,10,8,2,9,1,10,11,9,1,8,2,9,1,10,8,8,3,15,3,14,25,15,3,14,1,16,3,14,1,15,1,8,2,14,1,16,21,17,1,14,7,17,1,16,28,17,2,16,4,14,1,15,2,14,2,17,1,16,4,14,1,15,3,14,2,15,4,14,16,15,1,14,6,15,2,14,4,3,1,14,26,16,9,14,2,15,1,14,19,15,2,14,21,15,3,14,2,16,4,17,1,14,3,17,1,16,5,17,1,14,5,17,1,16,1,3,1,14,2,15,1,8,1,15,1,14,3,15,1,14,9,15,5,8,6,10,1,18,2,3,1,18,4,14,9,15,1,14,4,15,1,8,6,15,1,14,8,16,30,17,3,16,3,3,1,14,22,16,48,17,1,14,3,17,1,16,2,17,2,16,6,14,3,15,1,8,5,15,1,14,8,15,3,14,15,17,2,14,43,15,3,14,14,7,7,14,6,7,5,14,21,15,3,14,3,3,3,14,26,15,2,18,1,15,1,14,6,15,1,18,4,15,6,18,3,8,2,15,2,18,4,8,20,18,7,8,9,10,5,8,2,18,1,8,16,18,2,8,50,10,9,8,2,10,29,8,7,10,4,8,5,10,33,8,4,10,5,8,3,10,1,8,7,10,6,8,38,10,3,8,5,10,12,8,1,10,45,8,4,10,4,8,2,18,1,8,2,10,2,8,3,10,6,8,11,10,5,8,11,7,1,18,2,4,3,19,3,4,44,19,4,4,1,10,1,8,14,18,4,8,4,10,3,8,4,10,5,8,1,10,9,8,10,10,5,8,13,10,12,8,1,10,2,8,13,14,1,7,1,18,4,10,2,4,1,18,2,10,7,8,20,18,3,4,3,19,9,4,41,19,4,4,3,19,3,4,5,10,18,8,2,10,51,8,2,10,13,8,2,10,120,4,4,19,18,4,708,},
{4,644,19,5,4,1,10,7,8,1,10,3,8,2,10,25,15,1,14,10,17,2,14,1,7,3,14,10,15,1,8,2,10,10,8,2,9,1,10,12,9,1,10,8,8,5,15,2,14,6,17,2,14,15,17,1,14,4,16,6,14,1,8,1,15,1,16,22,17,1,14,2,16,2,14,3,16,10,17,1,14,1,17,2,16,4,14,2,16,9,17,2,16,4,14,1,15,1,8,1,14,3,17,1,16,2,17,1,14,2,15,3,14,1,15,3,14,12,15,2,14,10,15,2,14,2,3,2,14,27,17,1,16,8,14,2,15,1,14,7,17,1,16,1,17,1,14,8,15,2,14,5,3,1,14,2,15,1,14,17,17,2,16,2,17,1,14,3,17,1,16,6,14,4,17,1,16,3,3,1,14,2,15,1,8,1,15,1,14,2,15,1,18,1,15,1,14,8,15,6,8,6,18,6,3,1,14,13,15,1,18,1,8,3,10,2,8,1,15,1,14,7,16,2,17,2,16,27,17,3,16,4,17,2,16,1,17,1,14,5,17,1,14,12,17,1,16,48,17,1,14,2,17,2,16,1,17,2,16,6,17,1,14,2,15,1,8,5,15,1,14,4,15,8,14,15,17,2,14,42,7,1,15,1,14,15,7,7,14,4,7,7,14,6,7,2,15,6,14,7,15,2,14,4,3,1,14,25,3,1,14,13,15,1,18,3,15,6,18,11,8,20,18,7,8,10,10,5,8,18,18,2,8,50,10,9,8,2,10,29,8,7,10,4,8,5,10,34,8,1,10,7,8,11,10,6,8,38,10,2,8,5,10,59,8,4,10,4,8,5,10,2,8,20,10,5,8,11,7,1,18,3,4,1,19,4,4,44,19,4,4,1,10,1,8,16,18,1,8,5,10,3,8,5,10,14,8,11,10,4,8,18,10,11,8,12,7,2,14,1,18,2,10,3,4,2,18,1,4,2,10,5,8,19,18,4,4,2,19,7,4,44,19,5,4,9,10,71,8,3,10,133,18,1,4,5,19,18,4,708,},
{4,644,19,5,4,1,10,7,8,1,10,7,8,3,10,19,8,1,15,1,14,6,17,1,14,3,17,2,14,1,7,4,14,4,7,1,15,2,14,3,15,1,8,2,10,17,9,1,10,13,9,1,8,2,18,1,8,2,15,3,14,4,17,1,16,3,17,1,14,14,16,1,14,3,16,7,14,1,15,1,14,1,16,23,17,1,16,3,17,1,14,1,16,10,17,1,14,3,17,4,14,4,17,1,16,12,14,2,15,2,14,9,15,3,14,7,16,1,3,2,14,6,15,3,14,8,15,2,14,3,3,2,14,23,15,2,14,3,16,8,14,2,15,1,14,7,17,1,16,2,14,15,3,1,14,2,15,2,14,4,17,2,16,2,17,3,14,5,17,3,14,3,17,1,16,8,14,3,17,1,16,4,3,1,14,2,15,1,8,1,15,1,14,3,15,1,14,9,15,6,8,7,18,5,3,1,14,13,15,1,8,4,9,1,10,1,8,1,15,1,14,1,3,1,14,4,3,1,16,2,14,2,17,1,16,27,17,1,16,9,17,1,14,8,17,1,16,1,14,7,17,1,16,27,17,3,16,19,17,4,16,10,14,3,15,1,8,2,15,2,14,4,15,4,14,20,17,2,14,59,7,7,14,4,7,6,14,6,7,2,15,2,8,5,15,2,14,49,15,4,18,9,15,2,18,4,14,1,18,4,8,9,18,2,8,8,18,3,8,5,18,1,8,9,10,5,8,17,18,2,8,44,10,1,8,5,10,9,8,1,10,31,8,4,10,7,8,4,10,42,8,11,10,9,8,36,10,1,8,5,10,59,8,2,18,1,8,2,10,3,8,5,10,2,8,19,10,6,8,12,18,3,4,1,19,4,4,44,19,4,4,1,18,1,8,22,10,3,8,6,10,12,8,13,10,3,8,18,10,12,8,8,18,2,8,2,7,1,18,3,10,3,4,6,10,6,8,17,18,3,4,2,19,7,4,45,19,5,4,4,18,3,10,73,8,3,10,10,8,1,10,121,18,1,4,6,19,18,4,8,18,1,4,699,},
{4,644,19,5,4,1,10,6,8,2,10,7,8,1,18,2,8,2,10,17,8,1,14,8,17,2,14,1,17,2,14,1,7,3,14,5,15,3,14,3,15,1,8,2,10,17,9,7,10,5,9,1,8,2,18,1,14,3,15,2,14,6,17,1,16,4,14,13,16,52,17,3,14,2,17,1,16,4,17,1,14,4,16,2,17,2,16,6,17,1,14,23,17,1,16,1,3,1,14,7,15,3,14,2,3,1,14,4,15,1,8,1,15,1,14,3,3,2,14,23,15,3,14,3,16,6,17,1,14,25,3,1,14,2,3,1,14,1,15,2,14,4,17,1,16,6,17,2,14,1,17,1,16,2,17,3,14,2,17,1,16,8,17,1,14,3,17,1,16,4,3,1,14,2,15,1,8,1,15,1,3,2,14,7,15,2,14,1,15,7,8,5,10,2,18,2,10,2,18,1,3,1,14,13,18,1,8,2,15,1,18,1,8,1,10,1,8,1,15,1,14,1,3,1,14,4,16,4,14,1,17,1,16,39,14,7,16,3,14,6,17,2,16,25,17,1,14,3,17,1,16,3,17,2,16,27,17,1,14,2,15,1,8,2,15,2,14,3,15,5,14,21,17,2,14,38,15,1,14,19,7,7,14,6,7,3,14,6,7,1,15,2,8,8,15,2,14,46,15,6,18,4,8,2,18,4,15,1,18,4,14,1,18,9,8,4,18,2,8,7,18,4,8,5,18,2,8,10,10,4,8,13,18,5,8,44,10,1,8,6,10,40,8,3,10,8,8,4,10,41,8,11,10,12,8,40,10,3,8,1,10,22,8,1,10,32,8,2,18,1,8,3,10,1,8,26,10,7,8,12,18,3,4,2,19,3,4,44,19,4,4,1,10,1,8,21,10,4,8,7,10,9,8,16,10,2,8,19,10,14,8,4,18,1,14,1,15,1,8,2,7,1,18,3,10,1,8,1,10,1,4,6,10,2,8,1,10,3,8,16,18,2,4,4,19,7,4,45,19,5,4,4,18,1,8,2,10,172,8,1,10,34,9,1,18,1,4,6,19,18,4,6,10,1,18,2,10,1,4,698,},
{4,644,19,5,4,1,10,6,8,2,10,6,8,2,15,2,8,3,10,16,15,1,14,7,17,3,6,2,17,1,14,1,7,3,14,4,7,2,15,3,14,1,15,2,8,1,10,19,9,8,10,3,8,3,15,1,14,1,3,1,14,10,16,4,14,12,3,1,16,25,3,2,16,8,17,2,16,18,17,2,16,6,17,1,14,1,17,2,16,2,17,3,16,4,17,2,14,5,16,2,14,12,17,1,14,17,3,1,16,1,3,1,14,3,8,2,15,1,14,4,3,1,14,6,3,2,14,4,15,3,14,2,3,2,14,4,15,3,14,5,17,1,16,2,17,1,14,6,17,1,14,18,3,3,14,3,15,2,14,3,17,1,16,5,17,2,14,3,17,1,16,6,17,2,16,8,17,1,14,5,17,1,16,2,17,1,14,2,15,1,8,1,14,1,3,2,14,7,15,8,8,7,10,6,18,1,3,1,14,12,15,1,8,3,15,2,8,3,15,1,14,1,3,1,14,3,3,1,16,4,17,1,16,31,17,2,16,8,14,5,17,1,16,3,17,2,14,4,17,1,16,26,17,1,14,3,17,1,16,3,14,2,17,1,16,26,17,2,14,2,8,2,15,2,14,1,15,3,8,2,15,2,14,5,15,2,14,14,3,1,17,1,14,8,17,2,14,28,15,2,14,18,7,8,14,1,7,1,14,11,7,1,15,3,8,8,15,3,14,37,15,2,14,6,18,4,15,3,18,2,8,6,18,1,15,1,18,4,14,1,18,9,8,4,18,2,8,5,18,6,8,5,18,3,8,10,10,4,8,12,18,5,8,44,10,1,8,5,10,41,8,3,10,8,8,2,10,42,8,12,10,13,8,39,10,2,8,3,10,21,8,2,10,31,8,19,10,1,8,13,10,7,8,13,18,2,4,2,19,3,4,49,10,1,8,22,10,5,8,5,10,4,8,43,10,15,8,2,18,1,14,2,8,2,7,1,18,3,10,1,8,1,10,1,4,7,10,1,8,1,10,3,8,14,18,4,4,2,19,7,4,56,18,1,8,1,10,31,8,2,10,53,8,1,10,123,4,9,19,7,4,2,19,5,4,7,10,1,8,2,10,2,4,697,},
{4,644,19,5,4,1,10,6,8,2,10,7,8,1,18,1,15,1,18,1,8,2,10,15,8,1,14,8,17,3,6,1,14,1,17,1,14,1,7,2,14,1,6,2,14,3,7,1,15,3,14,1,15,1,8,2,10,13,9,2,10,7,9,4,10,4,9,1,8,2,15,1,14,1,3,1,14,3,3,1,14,3,15,1,14,3,17,3,14,11,16,20,14,1,3,1,16,3,3,2,16,2,3,1,16,7,14,2,16,4,17,1,16,9,17,2,16,11,17,1,16,4,17,3,16,4,17,3,16,6,17,1,14,3,17,3,14,23,16,3,14,2,15,1,8,2,15,1,14,10,16,3,14,3,15,1,14,2,15,1,14,2,3,2,14,4,15,4,14,5,16,1,17,1,14,6,17,2,14,1,17,2,14,14,3,1,16,2,3,1,14,7,16,5,17,6,14,2,17,1,16,14,17,1,14,1,17,3,14,4,17,2,14,2,15,2,14,1,3,3,14,6,15,2,14,1,15,3,8,9,10,6,18,1,3,1,14,1,17,3,14,3,15,1,14,4,15,1,8,2,15,1,14,2,15,1,8,2,15,1,14,1,3,1,14,3,16,48,14,3,17,1,16,7,17,4,16,27,14,2,17,1,16,3,17,1,14,3,16,28,14,2,15,4,18,1,8,7,15,1,14,4,15,2,14,17,3,1,14,6,17,2,14,29,15,2,14,6,7,3,14,7,7,12,14,8,7,3,8,10,15,1,18,4,15,2,14,35,15,1,14,6,18,2,8,1,18,1,15,1,14,2,15,1,18,1,8,5,15,3,7,1,18,14,8,4,18,1,8,5,18,8,8,3,18,3,8,11,10,5,8,10,18,5,8,44,10,1,8,6,10,41,8,2,10,6,8,6,10,41,8,3,10,1,8,1,10,3,8,3,10,13,8,38,10,3,8,4,10,19,8,3,10,5,8,3,10,11,8,3,10,6,8,12,10,3,8,5,10,5,8,6,10,2,8,3,10,5,8,15,18,2,4,2,19,3,4,49,10,1,8,24,10,4,8,5,10,3,8,44,10,14,8,2,15,1,14,2,18,1,8,1,14,2,18,2,10,1,8,1,10,1,4,7,10,1,8,2,10,3,8,12,18,4,4,2,19,7,4,54,18,3,10,33,8,2,10,52,8,2,10,120,4,16,19,3,4,2,19,2,4,9,10,6,4,697,},
{4,644,19,5,4,1,10,6,8,2,10,7,8,2,18,1,8,2,9,1,10,15,15,1,14,8,17,3,14,2,6,1,14,3,6,1,17,1,6,1,14,8,15,1,8,2,10,13,8,1,18,1,10,8,9,3,10,7,8,1,14,4,3,1,16,2,14,2,15,3,14,3,17,1,3,3,14,4,15,2,14,2,16,19,14,2,16,8,3,1,14,1,16,2,14,2,16,2,17,2,16,3,17,1,14,1,17,1,16,8,17,3,16,16,17,1,16,5,17,2,16,14,17,3,14,3,15,2,14,7,3,2,14,6,3,3,14,2,15,3,14,2,3,2,14,5,3,2,16,2,3,1,14,9,3,1,16,2,14,3,15,4,14,5,17,1,14,4,17,1,16,2,17,1,14,2,17,1,16,1,17,1,14,10,15,1,14,2,3,1,16,2,14,7,16,12,17,1,14,1,17,1,16,14,14,1,17,1,16,3,14,4,16,2,14,2,15,2,14,1,3,2,14,1,15,2,14,4,15,1,14,3,15,1,8,6,10,1,8,3,10,6,18,1,3,1,14,1,17,3,14,2,15,3,14,3,15,1,8,2,15,1,14,3,15,1,8,2,14,4,3,1,16,48,17,1,14,1,17,1,16,10,17,2,16,12,17,1,14,2,17,1,16,17,17,1,14,3,16,13,17,2,6,1,17,1,16,11,17,1,14,2,15,2,8,10,15,1,14,3,8,2,15,1,14,22,17,1,16,2,17,1,14,28,15,4,14,5,7,1,8,1,7,1,14,6,7,12,14,8,7,3,8,5,15,8,18,4,15,1,14,3,3,1,14,37,15,1,18,1,8,1,18,1,15,1,14,3,15,1,18,3,15,1,7,1,15,1,14,3,7,1,15,1,18,7,14,3,18,2,8,10,18,10,8,16,10,5,8,11,18,4,8,14,18,2,8,27,10,1,8,7,10,11,8,2,10,31,8,13,10,37,8,5,10,8,8,5,10,6,8,38,10,4,8,4,10,19,8,4,10,2,8,7,10,3,8,13,10,2,8,7,10,1,8,3,10,4,8,4,10,7,8,4,10,3,8,4,10,1,8,9,10,1,8,8,18,2,4,2,19,3,4,49,10,1,8,17,10,1,8,7,10,4,8,4,10,8,8,41,10,12,8,2,18,1,14,2,7,2,14,2,3,1,18,1,10,1,8,1,10,1,4,8,8,2,10,3,8,9,18,1,8,2,18,4,4,2,19,6,4,53,18,4,10,7,8,1,10,18,8,1,10,58,8,6,10,115,4,31,9,1,10,3,18,2,10,2,18,1,4,699,},
{4,643,19,6,4,1,10,6,8,2,10,7,8,3,10,17,9,1,14,8,17,3,14,7,6,1,17,2,14,6,15,2,8,2,10,13,9,1,8,2,10,18,9,1,8,1,15,1,14,2,16,3,3,1,14,1,15,2,14,12,15,2,14,1,16,18,14,3,3,1,16,8,3,1,14,1,16,2,14,2,16,5,17,2,14,3,17,8,14,2,17,2,16,13,17,1,14,2,17,1,16,21,17,1,14,3,15,3,14,8,3,2,14,15,16,2,14,4,3,1,16,4,14,11,17,1,16,1,17,1,14,3,15,2,14,6,16,2,14,3,17,1,16,2,17,1,14,4,17,2,14,8,15,2,14,2,16,3,14,7,16,6,17,3,16,3,17,1,14,1,17,1,16,9,17,2,16,7,17,1,14,1,15,1,14,2,17,2,14,1,15,3,14,10,15,1,14,3,15,2,8,4,10,3,18,2,8,1,10,5,18,1,3,1,14,2,17,1,14,3,15,2,14,4,15,3,14,4,15,1,8,2,14,5,16,74,17,1,14,4,17,1,16,4,17,2,16,11,17,1,14,1,17,2,16,11,17,3,14,1,17,1,16,11,17,1,14,3,15,1,8,8,10,1,8,2,15,1,14,2,15,3,14,10,17,1,14,12,17,4,14,28,15,4,14,4,15,1,8,2,7,3,14,3,7,4,14,4,7,2,14,8,7,2,8,6,15,3,14,4,15,3,8,3,18,1,15,1,14,42,15,3,14,4,15,1,18,1,8,3,15,7,18,8,14,1,18,3,8,9,18,11,8,19,10,1,8,13,18,3,8,13,18,3,8,27,10,2,8,6,10,11,8,2,10,2,8,1,10,25,8,1,10,2,8,1,10,4,8,5,10,1,8,2,10,38,8,3,10,9,8,6,10,5,8,14,10,2,8,12,10,2,8,8,10,4,8,4,10,18,8,37,10,3,8,3,10,4,8,4,10,7,8,4,10,4,8,13,10,4,8,6,18,1,4,2,19,3,4,49,10,1,8,24,10,5,8,4,10,3,8,1,10,4,8,31,10,3,8,22,14,5,3,1,18,2,10,1,8,1,10,1,4,8,8,3,10,2,8,2,18,1,8,5,18,7,4,3,19,6,4,52,10,2,8,1,10,9,8,1,10,78,8,2,10,85,8,4,10,28,4,5,19,3,4,8,19,1,4,15,10,3,18,1,4,704,},
{4,643,19,6,4,1,10,1,18,1,10,4,8,2,10,5,8,4,10,18,8,1,14,1,16,1,17,1,14,3,17,1,16,2,17,1,14,9,17,1,14,5,15,2,8,3,10,15,9,1,10,17,8,1,10,3,8,1,15,1,14,1,3,1,16,1,3,1,14,11,17,2,14,3,15,2,14,1,16,9,14,2,16,6,14,3,16,10,17,2,16,8,17,7,16,4,17,1,14,5,17,1,16,12,17,1,14,1,15,1,14,2,16,4,17,1,16,8,17,1,14,1,16,5,17,1,14,2,15,2,14,3,15,1,14,8,17,1,14,15,16,1,17,1,14,3,17,1,16,2,14,7,15,3,14,5,3,2,14,10,17,1,16,3,14,4,16,2,14,5,16,2,14,6,15,2,14,3,16,3,14,8,16,5,17,1,14,2,16,4,17,1,16,10,17,2,16,7,14,2,15,1,14,1,17,1,16,1,14,2,15,2,14,10,15,4,14,1,18,4,8,1,10,4,18,3,8,1,10,4,18,1,3,1,14,6,15,2,14,5,15,1,14,5,15,3,14,1,17,5,16,28,17,2,16,43,17,1,14,3,17,1,16,2,17,1,14,4,17,1,16,12,17,2,16,7,17,1,14,3,17,1,16,14,14,6,15,1,8,7,10,2,8,2,15,1,14,3,15,1,14,9,17,1,16,1,17,2,14,12,3,1,16,2,17,1,14,28,15,3,14,3,15,2,8,3,15,2,14,16,15,3,8,7,15,4,14,6,15,2,8,3,15,3,14,9,3,1,14,36,15,3,8,6,18,3,15,4,18,2,8,2,18,2,14,2,18,2,8,3,18,9,8,2,18,5,8,34,18,3,8,50,10,13,8,2,10,99,8,1,10,2,8,11,10,9,8,2,10,10,8,1,10,1,8,7,10,2,8,6,10,10,8,1,10,5,8,24,10,6,8,3,10,4,8,2,10,3,8,1,10,6,8,2,10,1,8,3,10,5,8,6,10,1,8,15,10,3,8,6,18,1,4,3,19,2,4,48,10,1,8,21,10,8,8,2,10,5,8,10,10,4,8,20,10,7,8,20,7,1,14,2,3,3,18,1,10,3,4,8,10,1,8,4,10,1,8,7,18,8,4,2,19,5,4,43,19,5,4,5,10,141,8,1,10,36,8,5,10,28,4,3,19,4,4,4,19,7,4,12,10,2,4,6,19,2,4,700,},
{4,642,19,5,4,3,10,1,18,1,8,1,10,2,8,3,10,5,8,4,10,18,8,1,14,1,16,1,17,1,14,4,17,2,14,16,15,1,8,3,10,33,8,2,10,3,8,1,15,1,14,1,3,3,14,3,3,1,16,2,14,5,6,2,17,1,14,4,16,9,14,1,15,1,14,1,16,5,17,1,14,3,16,9,17,1,16,10,17,7,16,4,17,1,14,1,7,1,14,3,17,1,16,11,14,2,15,3,17,1,16,3,17,1,14,1,17,3,16,5,14,2,16,5,14,2,15,2,14,30,17,2,16,1,17,1,16,3,14,3,17,1,16,1,14,2,15,2,14,3,17,2,14,13,16,4,14,4,3,1,14,2,15,2,14,2,16,2,14,6,15,2,14,2,16,4,14,8,16,5,17,1,14,2,17,1,16,1,17,3,16,10,14,2,16,7,14,4,16,2,14,6,15,1,7,1,14,2,17,1,14,2,15,2,8,1,18,2,14,1,18,2,8,3,10,4,8,1,18,2,8,1,10,3,18,1,3,2,14,6,15,1,14,12,15,2,14,2,16,3,17,1,16,5,17,1,14,1,17,1,16,21,17,2,16,44,17,1,14,1,16,4,14,2,7,1,15,1,14,3,17,1,16,18,17,1,14,4,17,1,16,8,17,1,16,5,14,7,15,2,18,4,8,1,10,3,8,1,14,4,15,2,14,8,16,3,17,1,14,13,17,2,3,1,14,23,3,1,14,5,15,4,14,2,15,2,8,3,15,1,14,15,15,1,8,10,15,3,14,8,15,4,14,2,15,2,14,8,3,2,14,10,15,3,14,5,15,1,14,16,15,2,18,3,8,1,18,6,15,1,18,2,15,1,18,2,8,3,18,5,8,3,18,8,8,4,18,3,8,19,18,2,8,9,18,1,8,5,18,2,8,37,10,1,8,12,10,12,8,3,10,9,8,4,10,13,8,2,10,73,8,12,10,9,8,2,10,12,8,15,10,8,8,32,10,6,8,4,10,3,8,4,10,11,8,3,10,5,8,10,10,6,8,6,10,3,8,4,10,2,8,1,10,1,4,2,19,2,4,48,10,2,8,3,10,1,8,15,10,13,8,14,10,3,8,15,10,2,8,3,10,8,8,20,7,1,14,1,3,2,18,2,10,2,4,9,9,1,8,3,10,3,8,5,18,8,4,2,19,6,4,42,19,6,4,4,10,87,8,1,10,54,8,2,10,36,8,3,10,15,8,1,10,13,4,2,19,6,4,3,19,7,4,8,18,1,4,3,10,2,4,5,19,3,4,700,},
{4,641,19,6,4,2,10,6,8,3,10,6,8,3,10,3,8,1,10,14,8,1,14,1,16,2,14,22,15,1,8,2,10,35,8,1,10,4,8,1,14,2,3,1,16,2,3,2,16,3,3,1,14,2,7,2,14,7,16,8,17,1,14,3,16,6,14,3,16,8,14,2,17,1,16,8,17,4,16,7,17,2,14,5,16,5,14,2,17,1,16,3,17,1,14,1,15,1,8,1,15,1,14,1,16,3,17,1,14,2,17,1,16,7,17,1,14,1,16,4,17,1,14,5,17,1,16,1,14,5,17,1,14,7,15,3,14,11,17,1,16,5,14,4,17,1,16,1,14,6,17,1,16,2,14,2,3,1,14,4,15,1,14,5,16,4,3,5,14,6,16,2,14,6,15,2,14,2,16,4,14,7,16,6,17,1,14,6,17,1,16,9,14,3,16,7,14,4,16,2,14,5,15,2,7,1,14,6,15,2,14,3,18,2,8,1,10,4,8,2,10,2,18,2,10,1,9,1,18,1,14,1,3,3,14,11,15,2,14,9,16,3,17,1,16,6,17,1,16,22,14,1,17,1,16,50,17,1,14,2,15,1,8,2,15,1,14,1,17,1,16,17,17,1,14,4,17,1,16,2,17,4,16,2,17,1,16,5,14,8,15,5,8,2,10,1,8,2,14,4,15,1,18,1,15,1,14,7,17,3,14,11,3,2,14,39,15,5,14,15,8,10,15,4,14,10,15,7,14,47,15,5,14,3,15,2,18,1,8,1,18,13,8,2,18,9,8,3,18,2,8,17,18,4,8,69,10,10,8,6,10,8,8,3,10,13,8,2,10,76,8,2,10,1,8,6,10,7,8,6,10,10,8,15,10,8,8,32,10,5,8,6,10,2,8,4,10,11,8,4,10,3,8,10,10,3,8,21,4,2,19,3,4,47,10,2,8,2,10,5,8,4,10,1,8,7,10,13,8,32,10,2,8,2,10,9,8,20,7,1,14,1,3,1,18,3,10,2,4,10,10,6,8,4,18,8,4,3,19,6,4,42,19,6,4,2,18,2,10,142,8,2,10,54,8,1,10,13,4,2,19,6,4,3,19,7,4,5,18,5,4,5,19,7,4,700,},
{4,640,19,6,4,2,10,8,8,2,10,6,8,3,10,18,8,1,14,1,16,2,14,13,15,2,14,7,15,1,8,2,10,40,8,1,15,1,14,1,3,1,16,8,14,2,15,1,7,2,14,5,16,9,14,4,16,6,14,3,16,7,14,3,16,9,17,4,16,7,17,3,14,3,16,5,14,4,16,3,14,1,15,1,8,2,15,1,14,1,16,3,14,3,16,8,17,2,16,3,17,1,14,5,17,1,16,2,17,1,14,3,17,1,16,1,17,1,14,5,15,1,8,1,15,2,14,11,17,1,16,2,17,1,14,6,17,1,16,1,17,1,14,5,16,3,14,2,3,1,14,3,15,3,14,3,3,1,16,8,14,8,3,2,16,2,17,1,14,5,17,1,16,4,14,6,16,7,17,4,14,3,16,8,17,1,14,4,16,7,14,4,17,2,14,4,15,3,7,1,14,5,15,3,14,3,18,1,8,1,10,4,8,1,18,1,8,1,10,2,8,1,18,3,3,4,14,12,15,2,14,8,17,1,16,32,17,1,14,1,17,1,16,51,17,1,14,1,7,1,8,3,14,2,16,5,17,2,16,11,14,5,17,3,14,4,17,1,14,1,17,1,16,4,17,1,14,10,15,2,8,2,10,1,8,2,15,1,14,3,18,1,8,1,15,2,14,21,3,2,14,38,15,5,14,14,15,1,8,7,15,3,14,1,15,3,14,74,15,1,18,31,8,15,18,4,8,70,10,10,8,6,10,7,8,4,10,7,8,1,10,5,8,2,10,79,8,7,10,6,8,5,10,11,8,15,10,8,8,35,10,1,8,13,10,11,8,4,10,2,8,10,10,4,8,13,10,2,8,5,18,1,4,2,19,3,4,47,10,2,8,2,10,11,8,1,10,1,8,3,10,15,8,31,10,13,8,5,10,1,8,14,7,1,14,1,3,1,18,2,10,3,4,10,10,3,8,7,18,5,4,5,19,7,4,42,19,5,4,3,18,2,10,208,8,2,10,2,4,2,19,15,4,5,18,1,8,1,18,1,10,3,4,4,19,8,4,700,},
{4,640,19,6,4,2,10,17,8,2,10,17,9,1,15,1,14,1,17,2,14,9,17,2,14,2,15,1,8,1,14,7,15,1,8,1,10,28,8,2,10,11,8,1,15,1,14,1,3,1,16,9,14,2,15,2,14,5,16,8,14,4,16,7,14,3,17,1,16,4,14,4,16,5,17,2,16,4,17,1,14,2,17,1,16,7,17,1,14,2,17,1,16,6,14,4,16,3,14,1,15,4,14,1,16,2,17,1,14,2,16,7,17,3,16,5,14,4,17,1,16,4,17,1,14,1,17,1,16,2,17,1,14,5,15,1,8,2,15,1,14,11,16,3,14,6,17,2,16,1,17,1,14,4,17,1,16,3,14,2,16,1,17,1,14,2,15,3,14,3,3,1,17,1,3,2,17,1,16,4,14,9,3,1,16,2,17,1,14,5,17,1,16,3,17,1,14,6,16,6,17,1,14,1,16,12,17,1,14,6,16,6,17,1,14,7,15,1,14,2,15,4,14,4,15,1,8,2,15,1,14,3,18,1,8,1,10,4,8,1,18,1,8,1,10,2,8,1,18,2,14,1,3,3,14,5,15,1,14,7,15,2,14,7,17,3,16,31,14,2,17,1,16,52,17,1,14,1,7,1,8,1,7,1,14,2,16,3,17,1,14,3,17,1,16,10,17,1,14,4,17,3,14,6,17,1,16,4,17,1,14,11,15,1,8,2,10,2,8,1,18,1,15,1,14,1,15,1,8,3,15,1,14,21,3,1,16,2,14,37,15,4,14,6,15,9,8,8,15,2,14,1,15,4,14,49,15,2,14,19,3,1,14,4,15,1,18,2,8,1,18,16,14,5,18,7,8,16,18,2,8,71,10,9,8,7,10,6,8,5,10,5,8,2,10,5,8,2,10,76,8,10,10,6,8,4,10,11,8,16,10,8,8,51,10,13,8,10,10,5,8,7,10,2,8,5,10,2,8,4,18,3,4,1,19,3,4,47,10,2,8,1,10,12,8,5,10,14,8,5,10,3,8,24,10,14,8,18,7,1,14,3,18,1,8,2,10,3,18,1,4,7,18,1,8,9,18,5,4,3,19,10,4,37,19,9,4,4,18,1,8,1,10,208,8,1,10,3,4,8,19,4,4,10,18,1,10,5,4,4,19,8,4,700,},
{4,640,19,6,4,2,10,18,8,1,10,16,9,1,8,1,15,1,14,1,17,1,14,7,17,1,14,6,8,2,14,7,15,1,8,1,10,28,8,2,10,10,8,2,15,1,14,1,3,1,16,9,17,1,14,8,16,7,14,4,16,7,14,3,17,1,16,4,14,4,16,5,14,3,16,4,17,1,14,2,17,1,16,7,17,3,16,7,14,4,16,3,14,1,15,4,14,2,17,3,16,8,17,2,16,6,17,1,14,2,17,1,16,6,17,2,16,3,14,4,15,2,8,1,15,2,14,10,16,3,17,1,14,5,17,1,16,2,17,1,14,5,17,1,16,3,14,2,16,2,14,3,15,1,14,3,3,2,14,3,3,1,16,4,14,10,16,3,17,1,14,4,16,6,14,4,16,20,17,1,14,4,7,1,14,2,16,5,17,1,14,7,15,1,8,1,15,1,14,1,15,3,14,4,15,1,8,3,15,1,14,1,3,1,14,1,18,1,8,1,10,3,8,1,18,2,8,1,10,2,8,1,18,1,14,1,3,4,14,8,3,1,14,4,15,2,14,6,17,5,16,30,14,2,17,1,16,53,17,1,14,4,17,1,16,3,14,2,7,2,14,2,16,2,17,3,16,5,17,1,14,5,17,2,14,5,17,1,16,4,17,1,14,12,8,2,10,2,8,2,18,1,15,1,18,1,8,4,15,1,14,17,15,2,14,2,16,3,14,36,15,5,14,4,15,2,8,14,15,10,14,47,15,3,14,18,3,4,14,3,15,1,18,1,8,2,18,3,8,3,18,3,15,1,18,1,8,1,18,4,14,4,18,8,8,88,10,9,8,8,10,5,8,7,10,1,8,6,10,3,8,2,10,72,8,14,10,1,8,1,10,20,8,14,10,9,8,11,10,1,8,39,10,13,8,4,10,3,8,3,10,4,8,8,10,3,8,10,18,3,4,1,19,3,4,47,10,2,8,1,10,11,8,6,10,14,8,5,10,4,8,23,10,16,8,5,18,1,8,8,7,2,14,4,8,4,18,4,4,5,18,3,8,7,18,5,4,4,19,9,4,37,19,8,4,5,18,2,8,1,10,211,4,9,19,4,4,10,10,3,18,2,4,3,19,9,4,701,},
{4,640,19,6,4,2,10,4,8,1,10,13,8,1,10,16,8,2,14,9,17,3,14,5,8,2,15,1,14,6,15,1,8,1,10,28,8,3,10,8,8,3,15,1,14,2,16,11,17,2,14,4,17,1,16,6,14,2,15,1,14,2,16,6,14,4,17,1,16,4,14,4,16,4,14,2,15,1,14,1,17,1,16,4,14,3,16,13,17,1,16,2,17,1,14,3,17,1,16,3,14,3,15,3,14,2,17,1,16,9,17,2,16,6,17,1,14,2,17,1,16,3,17,1,16,2,17,1,14,1,17,3,14,4,15,3,14,12,16,3,14,5,17,1,16,3,14,7,17,1,16,2,14,2,17,1,16,1,14,7,16,1,3,1,14,4,16,4,14,10,16,15,14,3,16,20,14,7,17,1,16,5,17,1,14,3,17,2,14,2,8,2,15,1,14,1,15,2,14,4,15,1,8,4,15,1,14,1,3,1,14,1,8,1,10,3,8,2,18,1,8,4,18,2,3,5,14,7,3,1,16,1,14,7,17,1,14,4,17,1,16,1,17,3,16,30,17,1,14,1,16,56,17,2,16,5,14,1,7,1,15,1,8,1,7,1,14,5,17,1,16,5,17,1,14,12,17,1,16,4,17,1,14,2,17,3,14,1,3,2,14,4,15,1,8,2,10,1,8,9,15,1,14,14,17,1,14,2,15,2,14,2,16,3,14,36,15,5,14,3,15,2,8,10,15,5,14,2,15,9,14,3,15,4,14,39,15,2,14,20,3,3,14,4,18,1,8,1,18,4,8,4,18,4,8,2,18,15,8,5,18,6,8,77,10,9,8,7,10,6,8,14,10,3,8,2,10,70,8,15,10,25,8,11,10,11,8,32,10,4,8,14,10,7,8,2,10,3,8,5,10,4,8,2,10,3,8,9,10,4,8,9,18,3,4,1,19,3,4,47,10,2,8,1,10,10,8,7,10,14,8,4,10,5,8,8,10,1,8,14,10,16,8,5,18,1,8,7,7,2,14,5,8,3,18,13,8,7,18,3,4,6,19,8,4,37,19,8,4,3,18,3,10,1,8,1,10,212,18,1,4,8,19,4,4,2,18,3,10,7,4,6,19,8,4,702,},
{4,640,19,6,4,2,9,1,10,3,8,1,10,13,8,1,10,16,8,1,15,1,14,2,17,1,14,5,17,3,14,6,15,3,14,6,15,1,8,1,10,38,8,2,15,4,14,1,3,1,16,13,14,3,16,7,14,1,15,2,14,2,16,5,14,5,16,6,14,3,16,3,14,5,17,1,16,4,17,1,14,1,17,1,16,12,17,1,14,1,17,4,14,2,16,4,14,2,15,2,8,1,15,2,14,1,17,1,16,17,17,1,14,2,17,1,16,2,17,1,14,1,17,2,14,4,17,2,14,3,15,2,14,12,16,4,14,4,17,1,16,3,17,1,14,7,17,1,16,1,17,1,14,10,17,1,16,1,14,4,16,5,14,9,17,1,16,37,17,1,14,2,7,1,14,4,17,1,16,5,17,1,14,2,17,1,16,3,14,1,15,2,14,7,15,1,8,1,10,1,8,3,15,1,14,2,18,1,8,1,10,3,8,5,18,3,14,1,3,2,14,2,3,1,14,7,3,1,16,1,17,1,14,5,17,1,16,1,17,1,14,3,16,2,17,1,14,1,17,1,16,95,17,1,14,1,7,1,15,1,7,3,14,3,17,1,16,5,17,1,14,7,17,2,14,4,17,1,16,3,17,1,14,2,17,1,16,6,3,1,14,3,15,1,8,7,10,2,8,2,15,8,14,10,15,2,14,2,3,1,17,1,14,2,3,1,14,34,15,10,8,8,15,3,14,8,15,6,14,3,15,5,14,51,3,2,14,15,18,3,14,1,18,2,8,5,18,2,8,9,18,9,8,4,18,2,14,4,18,3,8,5,18,1,8,1,18,1,8,67,10,9,8,7,10,6,8,15,10,76,8,13,10,25,8,12,10,3,8,2,10,5,8,32,10,4,8,14,10,1,8,1,10,5,8,3,10,2,8,5,10,4,8,3,10,2,8,9,10,6,8,8,18,2,4,1,19,3,4,47,10,1,18,1,8,1,10,10,8,7,10,24,8,6,10,2,8,13,10,8,8,4,10,6,8,3,18,2,8,7,15,1,14,4,7,1,8,3,18,13,8,8,18,2,4,8,19,7,4,33,19,11,4,2,10,2,8,2,10,179,8,2,10,27,8,1,10,4,18,3,4,9,19,2,4,2,18,2,8,2,10,7,4,3,19,11,4,702,},
{4,640,19,6,4,2,9,1,8,1,10,33,8,1,14,2,17,2,14,10,7,1,14,3,7,1,15,2,7,1,14,5,15,1,8,1,10,37,8,2,15,5,14,2,16,13,14,3,3,1,16,5,3,1,14,5,16,4,14,3,15,1,14,2,16,10,14,5,17,1,16,7,17,1,16,13,17,1,14,1,17,2,16,2,17,1,14,1,16,4,14,2,8,3,15,1,14,1,17,1,16,5,17,1,14,1,17,1,16,7,17,3,14,4,16,2,17,1,14,7,17,2,14,16,17,1,16,3,14,5,16,4,17,1,14,8,17,1,14,10,17,1,16,2,17,1,14,2,17,1,16,4,17,1,14,8,3,1,16,34,17,2,16,2,17,1,14,2,7,2,14,2,6,1,16,6,17,1,14,2,16,5,14,1,7,1,14,7,8,1,10,3,8,1,18,2,14,2,18,1,8,1,10,4,8,2,10,1,8,2,15,1,18,1,14,2,3,1,14,2,3,1,14,2,15,1,14,2,3,1,16,2,3,1,16,1,17,1,14,3,17,1,16,2,17,1,14,3,17,4,16,97,17,1,14,1,7,5,14,1,16,8,14,7,17,2,14,4,17,1,16,2,17,1,14,3,17,1,16,7,17,1,14,3,15,2,8,5,10,2,8,2,15,4,8,2,15,2,14,9,15,2,14,7,17,1,16,1,14,33,15,9,8,7,15,3,14,12,15,3,14,5,15,4,14,51,3,4,14,18,18,2,8,4,18,2,8,22,18,2,14,6,18,8,8,45,10,6,8,18,10,10,8,4,10,9,8,12,10,81,8,10,10,24,8,11,10,4,8,3,10,4,8,34,10,2,8,16,10,4,8,2,10,1,8,8,10,3,8,20,10,2,8,7,18,2,4,1,19,3,4,47,18,3,8,1,10,9,8,6,10,25,8,6,10,4,8,10,10,8,8,6,10,3,8,1,10,1,8,12,15,1,14,3,15,1,8,5,18,4,8,1,18,5,8,9,18,2,4,48,19,9,4,5,10,1,8,2,10,180,8,2,10,26,9,1,18,1,10,3,9,1,18,3,4,13,10,5,8,2,10,4,4,3,19,10,4,703,},
{4,640,19,6,4,2,10,1,8,1,10,8,8,2,10,22,8,1,15,1,14,2,17,6,14,5,7,2,14,4,15,3,14,5,15,1,8,1,10,36,8,2,18,1,15,5,14,2,3,1,16,13,14,3,16,4,3,3,14,1,3,3,16,4,14,3,15,1,14,1,17,1,16,10,14,2,15,1,14,1,16,18,17,2,16,3,17,2,16,3,17,1,14,2,17,1,16,3,17,1,14,1,8,2,15,1,14,1,17,1,16,4,17,1,14,4,17,1,16,6,14,8,17,1,14,8,17,1,16,1,17,1,14,14,17,1,16,2,17,1,14,6,16,4,14,8,17,3,14,8,17,1,16,1,17,1,14,3,16,4,17,1,14,9,16,35,14,3,17,3,14,2,7,2,14,2,6,1,16,6,14,3,16,6,14,8,8,1,10,2,8,2,18,1,14,3,8,1,10,4,8,6,18,2,14,7,15,2,14,2,16,2,17,1,14,1,3,1,14,3,16,4,17,1,14,3,17,2,14,1,17,1,16,98,17,1,6,1,14,2,7,1,14,1,17,1,16,10,17,3,14,2,17,2,14,3,17,2,16,1,17,2,14,4,16,8,17,1,14,3,15,2,8,2,15,1,8,1,10,2,8,2,15,2,8,5,15,1,14,8,15,2,14,6,15,1,14,1,17,2,14,33,15,10,8,5,15,1,14,15,15,2,14,7,15,3,14,13,3,1,14,38,3,2,14,7,15,2,14,11,18,1,8,3,18,3,8,17,18,2,8,3,18,2,14,7,18,8,8,22,18,2,8,11,18,1,8,9,10,5,8,19,10,7,8,1,10,1,8,4,10,9,8,9,10,84,8,1,10,2,8,7,10,24,8,11,10,4,8,3,10,4,8,2,10,3,8,47,10,4,8,11,10,3,8,10,10,4,8,6,10,2,8,4,10,1,8,2,18,2,4,1,19,3,4,47,18,3,8,1,10,9,8,6,10,26,8,4,10,9,8,4,10,10,8,8,10,1,8,1,10,1,8,8,18,2,8,2,18,1,14,3,8,6,15,2,18,1,8,3,18,3,8,10,18,2,4,48,19,7,4,4,10,4,8,2,10,208,9,2,10,3,18,2,10,2,4,6,18,4,10,8,8,3,10,1,18,1,4,3,19,9,4,705,},
{4,640,19,6,4,2,9,1,8,1,10,7,8,4,10,21,8,1,15,1,14,2,17,4,16,1,17,1,14,10,7,2,15,2,14,5,15,1,8,1,10,25,8,2,10,9,8,2,18,1,15,5,14,3,3,1,16,13,14,2,3,6,16,3,3,1,14,3,16,2,14,5,16,11,14,4,16,17,17,1,14,4,17,1,16,5,17,1,14,2,17,1,16,3,17,1,14,1,8,2,14,1,16,4,14,4,17,4,16,6,14,17,16,3,14,13,16,3,14,8,16,4,14,7,17,1,16,3,14,3,17,1,14,4,17,2,14,4,16,4,14,10,16,7,17,1,14,1,16,25,14,4,17,1,16,1,17,1,14,5,7,1,14,1,17,1,16,4,17,1,14,1,7,2,16,6,17,1,14,2,7,1,15,1,14,3,8,1,10,2,8,1,15,1,18,1,14,2,18,1,8,1,10,4,8,5,10,1,8,2,15,1,14,6,15,2,14,2,16,2,14,6,16,4,17,1,14,6,17,1,16,45,17,2,16,41,17,1,16,12,17,3,16,2,17,1,14,1,17,1,16,9,17,1,14,1,17,1,14,3,17,1,16,4,17,2,14,3,16,7,17,1,14,5,15,1,8,2,15,1,8,4,15,3,8,5,15,1,14,16,15,1,14,40,15,11,14,16,15,2,14,7,15,2,14,13,3,2,14,22,3,7,14,18,15,2,14,11,18,1,8,2,18,5,8,14,18,5,8,1,18,3,14,6,18,9,8,21,18,4,8,9,18,4,8,7,10,8,8,16,10,5,8,1,10,5,8,2,10,10,8,7,10,3,8,1,10,84,8,8,10,25,8,9,10,3,8,4,10,10,8,49,10,1,8,11,10,4,8,8,10,5,8,6,10,2,8,7,18,2,4,1,19,3,4,47,18,3,8,1,10,9,8,6,10,52,8,19,18,4,8,1,18,1,14,2,18,1,8,1,10,2,8,3,15,1,18,1,8,4,18,3,8,1,10,1,8,7,10,1,4,48,19,9,4,3,10,4,8,1,10,210,9,1,10,4,9,1,10,9,8,4,10,7,8,2,10,1,18,1,4,4,19,9,4,706,},
{4,640,19,6,4,2,9,1,10,7,8,4,10,22,8,1,14,4,17,2,16,3,14,10,7,1,8,2,15,1,14,5,15,1,8,2,10,24,8,2,10,9,8,2,18,1,15,3,8,1,15,2,14,3,3,1,16,12,14,3,3,4,16,4,3,1,14,4,16,3,14,2,17,1,16,5,14,3,16,3,14,3,16,17,14,2,7,2,14,2,17,1,16,4,14,4,17,2,16,1,17,2,14,1,8,1,15,1,17,1,16,3,17,1,14,3,17,1,16,10,14,17,16,3,14,12,17,1,16,2,14,7,17,6,14,6,17,1,16,2,17,4,16,3,17,1,14,8,16,3,17,1,14,9,16,7,17,1,14,2,16,24,14,2,15,1,14,1,17,1,16,2,17,1,14,5,7,1,14,2,16,4,17,1,14,1,15,1,8,1,14,1,16,5,17,1,14,1,7,1,8,2,14,3,8,1,10,2,8,1,15,1,14,3,18,1,10,4,8,1,18,4,8,1,10,2,8,1,15,1,14,5,15,3,14,2,16,2,14,6,16,4,17,1,14,1,17,1,14,4,16,45,17,3,16,58,14,6,17,1,16,6,14,6,16,5,17,3,14,1,17,1,16,6,17,1,14,6,15,2,8,6,15,2,18,1,8,5,15,1,14,64,15,3,14,14,15,5,14,7,15,2,14,13,3,1,14,23,3,7,14,19,15,1,14,11,18,2,8,1,18,2,14,4,18,2,8,5,18,8,14,1,18,27,8,14,18,5,8,3,18,2,8,4,18,4,8,4,18,1,8,2,10,1,8,4,10,2,8,17,10,5,8,2,10,3,8,3,10,10,8,7,10,4,8,2,10,73,8,19,10,22,8,10,10,4,8,3,10,12,8,2,10,2,8,10,10,1,8,1,10,2,8,42,10,3,8,6,10,7,8,7,10,2,8,5,18,3,4,2,19,2,4,47,18,3,8,1,10,66,8,20,18,1,15,2,18,1,8,1,18,1,14,2,8,1,10,3,8,3,18,2,8,3,18,3,8,9,18,1,4,46,19,10,4,3,10,215,8,3,10,14,8,9,10,5,4,3,19,11,4,706,},
{4,640,19,6,4,2,10,9,8,3,10,22,8,1,14,5,17,1,16,2,17,1,14,10,8,3,15,1,14,6,8,2,10,24,8,2,10,9,8,2,18,1,15,3,8,1,15,2,14,5,16,11,3,1,14,1,3,6,16,3,3,1,14,4,16,4,17,1,16,6,14,3,17,1,16,3,17,1,16,18,14,1,7,1,8,2,15,1,14,1,17,1,16,2,17,1,14,5,17,5,14,3,16,4,14,3,17,1,16,5,17,1,16,5,17,1,14,6,15,2,14,8,16,3,14,12,17,2,14,7,17,1,16,1,17,1,14,4,17,2,14,4,17,1,16,1,17,1,14,3,17,1,16,4,17,1,14,8,17,1,16,1,14,10,16,7,14,1,15,1,14,1,17,1,16,23,14,4,16,4,14,2,7,1,14,2,7,2,14,1,17,1,16,3,17,1,14,1,15,1,8,1,14,1,16,5,14,2,7,1,8,2,14,3,18,1,8,1,10,1,18,3,14,2,18,1,10,3,8,2,18,4,8,1,10,2,8,1,15,1,14,4,15,4,14,2,3,1,17,1,14,6,16,4,17,2,16,1,17,1,14,2,17,1,16,45,17,3,16,57,17,1,14,2,7,4,14,2,17,1,16,3,14,2,7,3,14,2,16,7,17,3,16,2,17,2,16,1,17,2,14,6,15,2,8,5,18,1,15,1,18,2,8,5,15,1,14,68,15,2,14,10,15,2,8,2,15,2,14,7,15,2,14,36,3,8,14,30,18,2,8,2,18,1,15,1,14,5,15,1,18,5,15,1,14,2,18,5,14,2,18,3,8,12,18,11,8,12,18,13,8,3,18,4,8,31,10,4,8,3,10,3,8,4,10,9,8,6,10,6,8,1,10,67,8,25,10,22,8,10,10,4,8,2,10,17,8,10,10,4,8,42,10,3,8,5,10,8,8,7,10,3,8,4,18,3,4,51,18,3,10,39,8,1,10,15,8,2,10,8,8,23,18,3,8,1,18,1,14,1,18,1,8,1,10,3,8,19,18,1,4,46,19,9,4,5,10,208,8,2,10,5,8,3,10,9,8,14,10,5,4,1,19,5,4,2,19,5,4,707,},
{4,640,19,6,4,2,10,33,8,1,15,1,14,5,17,2,16,1,17,1,14,1,7,1,14,8,8,3,15,2,14,5,15,1,8,1,10,25,8,2,10,9,8,1,15,8,14,4,3,1,16,11,3,4,14,1,18,1,3,1,16,3,3,1,14,1,15,2,14,1,16,10,14,2,16,24,17,1,14,1,15,1,8,1,15,1,14,1,17,1,16,1,17,1,14,2,15,3,14,1,17,3,14,2,17,2,14,1,16,4,17,1,14,2,17,1,16,5,17,1,14,2,17,1,16,3,17,1,14,1,15,7,14,3,17,3,14,2,17,2,14,22,16,3,14,4,16,2,17,1,14,4,17,1,14,6,16,3,14,21,16,6,17,1,7,1,15,2,17,1,16,23,14,3,16,5,14,1,7,2,14,2,7,3,14,1,16,4,14,1,15,1,8,1,14,1,16,4,17,1,14,2,7,2,14,2,3,2,14,1,8,2,18,4,14,1,18,1,10,3,8,1,18,2,14,1,15,1,8,2,10,2,8,1,15,1,14,4,15,3,14,11,16,8,17,2,16,46,17,2,16,58,17,1,14,2,7,1,15,3,7,1,14,3,17,1,14,2,7,1,8,4,14,1,17,1,16,3,17,2,16,2,17,2,16,6,17,1,14,7,15,1,8,2,15,2,18,1,8,10,15,1,14,18,15,1,14,48,15,3,14,9,15,3,8,1,15,3,14,45,3,7,14,6,15,4,14,18,18,3,8,4,18,1,15,1,14,6,15,2,18,1,15,1,14,4,18,9,8,13,18,10,8,9,18,16,8,5,18,1,8,18,10,4,8,10,10,3,8,4,10,3,8,6,10,7,8,6,10,5,8,2,10,67,8,25,10,22,8,9,10,6,8,1,10,17,8,10,10,4,8,38,10,1,8,5,10,3,8,3,10,9,8,6,10,3,8,2,10,1,8,1,18,3,4,51,18,3,10,37,8,4,10,6,8,1,10,7,8,3,10,5,8,22,10,2,8,6,18,2,8,1,10,2,8,7,18,2,8,4,18,8,4,46,19,7,4,4,10,210,8,4,10,3,8,2,18,1,8,1,10,8,8,13,10,6,4,2,19,5,4,714,},
{4,640,19,5,4,2,10,34,8,1,15,1,14,6,17,1,16,1,17,1,14,1,7,2,14,3,7,2,14,2,8,4,15,1,14,5,15,1,8,2,10,25,8,1,10,9,8,1,15,1,14,1,15,9,14,2,16,11,3,4,18,1,8,2,14,1,3,2,14,1,15,3,3,1,16,10,14,1,16,5,14,2,16,18,17,1,14,1,15,1,7,1,14,1,17,1,16,2,14,2,8,1,9,1,8,1,15,1,14,1,16,2,17,1,14,2,17,1,16,1,17,1,16,4,17,1,14,1,16,6,17,1,14,3,17,1,16,4,14,1,8,3,15,3,14,2,16,4,17,1,14,25,16,4,14,4,16,3,14,8,15,2,14,1,17,1,16,1,17,1,14,20,16,7,14,1,7,1,15,1,14,1,16,23,3,1,14,2,16,6,14,1,7,2,14,2,7,3,14,1,17,1,16,4,14,1,15,1,14,1,16,4,14,1,7,2,14,4,3,3,18,1,8,1,18,4,14,1,18,1,8,1,10,1,8,1,18,3,14,1,15,1,8,1,10,1,8,3,15,1,14,1,17,1,14,1,15,3,14,6,16,1,17,1,14,3,17,2,16,8,17,1,16,36,17,1,16,6,17,3,16,60,17,2,14,3,7,4,14,5,15,1,8,1,10,2,8,1,7,1,14,1,16,1,17,2,14,1,17,1,16,2,17,2,16,6,17,1,14,7,15,5,8,12,15,1,14,16,15,2,14,49,15,1,14,5,15,2,14,4,15,3,8,1,15,2,14,45,3,6,14,7,15,1,18,2,14,19,18,2,8,6,18,2,15,1,14,4,18,3,15,1,14,3,18,2,8,3,18,3,8,15,18,4,14,3,18,3,8,10,18,5,8,3,18,6,8,24,10,5,8,11,10,2,8,4,10,2,8,7,10,6,8,7,10,5,8,2,10,69,8,1,10,1,8,20,10,23,8,11,10,5,8,13,10,4,8,16,10,1,8,35,10,1,8,6,10,2,8,3,10,9,8,6,10,6,8,2,18,2,4,45,19,5,4,1,18,2,8,1,10,36,8,5,10,6,8,2,10,5,8,5,10,3,8,23,10,2,8,4,10,1,8,1,18,2,10,2,8,8,18,2,8,4,18,7,4,2,19,2,4,43,19,6,4,3,10,211,8,2,7,1,8,2,10,3,8,1,18,3,10,8,8,2,18,2,8,8,10,3,4,5,19,6,4,714,},
{4,640,19,5,4,2,10,16,8,2,10,16,8,1,14,7,17,3,14,1,7,4,8,3,15,1,7,1,18,1,8,2,15,2,14,6,15,1,8,2,10,34,8,1,15,1,14,2,15,3,8,3,15,2,14,2,16,4,14,1,16,5,3,4,18,1,9,1,10,3,18,1,14,2,15,2,14,1,16,9,17,1,14,1,16,7,14,1,16,7,17,3,16,8,14,1,15,2,14,2,16,3,14,1,15,1,8,3,15,1,14,1,17,3,14,2,16,4,17,1,14,3,17,1,16,5,14,2,15,1,14,2,17,1,16,3,17,1,15,1,8,3,15,1,14,3,16,5,17,1,14,25,17,3,16,1,17,1,14,3,16,3,17,1,14,6,15,1,8,1,15,1,14,2,17,1,14,21,17,1,16,6,14,1,8,2,14,1,16,19,3,1,14,1,16,11,7,2,15,1,14,3,7,1,15,2,14,1,17,1,16,3,14,1,15,1,14,1,16,4,14,2,17,1,16,3,3,4,18,1,8,1,18,1,8,2,18,1,14,1,18,1,8,1,10,1,8,1,18,2,14,2,15,1,8,1,10,1,8,2,15,1,14,1,17,1,16,1,14,2,15,1,14,12,16,1,17,1,16,51,17,1,14,1,17,2,16,63,17,1,14,3,7,2,14,4,7,1,15,1,8,1,10,2,8,1,15,1,14,1,17,2,14,2,17,1,16,2,17,1,16,8,17,1,14,2,17,2,14,3,15,4,8,3,10,2,8,6,18,1,14,83,15,2,14,47,3,3,14,9,18,1,8,2,14,19,18,2,8,8,18,9,15,2,18,3,8,16,18,9,14,2,18,3,8,11,18,5,8,4,18,4,8,27,10,4,8,26,10,2,8,2,10,1,8,7,10,4,8,4,10,82,8,6,10,25,8,12,10,5,8,12,10,4,8,46,10,1,8,12,10,2,8,3,10,9,8,3,10,10,8,1,18,2,4,44,19,6,4,2,18,1,8,1,10,19,8,2,10,9,8,1,10,5,8,5,10,6,8,1,10,6,8,5,10,3,8,22,10,4,8,3,10,1,8,1,18,2,10,2,8,7,18,3,8,2,10,1,8,1,18,6,4,2,19,4,4,42,19,5,4,3,10,212,8,2,7,1,15,1,8,2,10,1,8,2,18,3,8,1,10,4,8,1,10,1,8,3,18,3,8,5,18,1,4,8,19,7,4,714,},
{4,639,19,6,4,2,10,11,8,2,10,2,8,1,18,2,8,1,10,5,8,1,10,9,8,1,14,6,17,3,14,1,7,4,8,6,18,1,7,1,15,2,14,9,15,1,8,1,10,29,8,2,10,1,8,2,15,1,14,3,15,2,8,1,9,1,8,1,15,2,14,2,17,1,16,1,14,4,16,4,3,1,14,2,18,1,8,1,10,4,9,1,14,2,18,1,15,1,3,1,16,9,14,2,16,14,14,4,17,1,16,6,17,1,14,1,15,2,14,2,16,3,14,10,17,1,16,4,17,1,14,1,15,2,14,1,17,1,16,4,14,1,15,3,14,2,17,1,16,3,14,1,15,4,14,1,16,5,17,2,14,2,17,1,14,13,17,1,14,7,16,2,14,4,17,1,16,1,17,3,16,3,17,1,14,5,15,1,8,2,15,1,14,4,15,4,14,13,17,2,14,2,17,1,16,5,14,1,8,2,14,1,16,19,3,1,14,1,16,10,17,1,15,2,14,5,15,2,14,8,16,4,17,1,16,5,3,3,14,2,18,1,8,3,18,1,14,1,18,1,8,3,18,1,14,3,15,1,8,3,15,2,14,1,17,1,16,1,17,1,14,13,17,1,16,3,17,1,16,50,17,3,16,65,17,1,14,7,7,2,8,4,7,1,14,3,17,4,16,10,17,3,16,2,17,1,14,4,15,1,8,3,10,1,8,7,15,1,14,3,3,1,17,1,16,1,14,138,15,1,8,3,15,1,14,2,15,3,14,13,18,2,8,16,18,6,8,11,10,2,8,2,18,13,8,12,18,7,8,19,18,1,8,18,10,1,8,37,10,4,8,6,10,83,8,1,10,10,8,2,10,10,8,19,10,3,8,9,10,7,8,11,10,4,8,24,10,9,8,10,10,4,8,15,10,6,8,1,10,3,8,1,18,1,4,43,19,7,4,1,18,2,8,1,10,18,8,4,10,17,8,2,10,21,8,1,10,1,8,19,10,5,8,5,18,1,8,1,10,3,8,1,18,3,8,2,18,4,8,1,10,3,8,1,18,3,4,3,19,4,4,49,10,101,8,2,10,110,8,1,18,2,8,6,18,1,15,2,8,2,10,3,8,7,18,4,8,1,10,1,4,2,19,8,4,720,},
{4,639,19,6,4,2,10,11,8,1,18,1,8,2,18,1,15,1,14,1,18,1,10,5,8,1,10,9,8,1,14,6,17,2,14,1,7,4,8,7,18,1,14,1,15,5,14,7,8,2,10,31,8,2,15,2,14,2,15,2,8,1,10,2,8,1,15,2,14,4,15,3,14,6,18,1,8,1,10,6,18,1,14,1,18,1,14,1,16,9,17,1,14,1,17,1,16,10,17,2,16,2,14,5,16,6,14,2,15,2,14,1,17,1,16,3,17,1,14,5,15,2,14,2,17,1,16,4,14,1,15,1,8,2,14,2,16,3,17,1,15,1,8,2,15,1,14,2,16,4,14,5,16,5,17,1,14,4,16,2,14,5,16,1,17,1,14,5,16,1,14,6,17,1,16,2,14,4,16,4,17,1,16,4,14,4,15,1,8,1,9,1,8,1,14,2,16,1,17,1,14,1,15,1,8,2,15,1,14,12,17,1,16,1,17,1,14,3,16,5,14,1,8,1,15,1,16,20,3,1,16,12,14,9,15,3,14,6,17,1,16,8,3,1,14,2,18,1,14,1,18,1,8,3,18,3,8,3,18,1,14,3,15,1,8,3,15,1,14,2,17,1,16,2,14,9,15,2,14,2,17,1,16,3,17,1,16,51,17,3,16,65,17,1,14,3,17,2,14,3,7,1,15,2,7,1,14,4,17,5,16,15,17,1,14,3,15,1,8,10,18,1,14,2,3,3,16,2,17,1,14,4,17,2,14,17,17,2,14,59,17,1,16,1,3,1,14,50,15,1,18,1,8,2,15,1,14,1,15,5,14,12,15,1,18,1,8,18,18,4,8,11,10,2,8,2,18,12,8,14,18,7,8,18,18,2,8,17,10,2,8,18,10,1,8,1,10,1,8,15,10,4,8,6,10,49,8,3,10,42,8,2,10,5,8,10,10,3,8,11,10,2,8,11,10,6,8,11,10,4,8,25,10,8,8,7,10,2,8,1,10,4,8,15,10,5,8,4,10,2,18,1,4,44,19,5,4,2,18,2,8,1,10,17,8,6,10,5,8,1,10,38,8,16,10,4,8,4,18,2,8,2,10,5,18,8,8,1,10,5,4,4,19,5,4,47,10,103,8,2,10,40,8,1,10,69,8,10,7,3,8,11,18,4,8,1,10,1,4,1,19,9,4,720,},
{4,639,19,5,4,2,10,12,18,2,8,2,18,1,14,2,15,1,8,1,10,6,8,1,9,1,10,5,8,1,15,1,14,6,16,1,17,1,14,1,7,2,8,3,10,3,8,2,18,1,14,2,15,1,8,4,15,1,14,6,8,2,10,32,8,1,15,1,8,1,18,1,15,2,8,2,10,2,8,1,15,3,14,3,15,2,14,7,18,1,8,1,10,6,18,1,14,1,15,1,14,1,16,10,14,1,16,9,17,3,16,3,14,4,17,2,16,5,14,2,15,2,14,1,16,5,14,1,17,2,14,1,15,1,8,2,15,1,14,1,16,5,14,1,15,1,8,2,15,1,14,1,16,3,14,1,15,1,8,2,15,1,14,2,16,7,17,2,16,1,17,1,14,8,16,2,17,1,14,4,16,1,17,1,14,5,17,1,14,4,16,1,17,1,16,3,14,3,17,1,16,4,14,1,17,1,16,3,14,2,15,1,14,1,15,1,10,2,15,1,17,1,16,3,14,1,15,1,8,2,15,1,14,2,17,1,14,9,16,2,14,2,15,1,14,1,16,4,14,1,15,2,14,1,16,34,14,1,15,3,14,10,15,2,7,1,14,1,16,6,17,1,14,2,18,4,8,4,18,3,8,3,18,1,14,3,15,1,8,2,15,1,14,3,17,3,14,14,16,55,17,4,16,64,17,1,14,3,16,2,17,1,14,8,17,7,16,15,17,1,14,3,15,2,8,9,18,1,14,2,3,3,16,1,17,1,14,4,17,1,16,1,17,2,14,77,17,2,14,52,15,1,18,1,15,1,14,3,15,3,14,13,15,1,18,1,8,5,18,2,8,11,18,5,8,14,18,11,8,16,18,4,8,39,10,2,8,36,10,2,8,1,10,1,8,6,10,97,8,1,10,2,8,4,10,12,8,8,10,4,8,60,10,4,8,7,10,1,8,2,10,4,8,7,10,4,8,3,10,6,8,7,18,1,4,43,19,6,4,1,18,2,10,18,8,6,10,5,8,1,10,39,8,15,10,2,8,7,18,1,8,2,10,6,8,2,18,5,10,2,8,3,10,1,4,3,19,6,4,35,19,2,4,4,10,223,8,7,15,1,14,1,7,2,8,11,18,5,4,3,19,8,4,720,},
{4,639,19,5,4,2,10,11,8,1,18,6,14,1,15,1,8,1,10,6,8,1,9,1,10,5,8,1,15,1,14,6,16,2,14,1,7,1,8,4,10,2,8,3,18,2,8,6,15,1,14,5,15,1,8,2,10,32,8,1,18,1,8,2,15,2,8,2,10,2,8,3,15,1,14,11,15,1,18,1,8,1,10,5,9,1,18,1,14,2,3,1,16,20,14,3,16,3,14,4,16,3,17,2,16,2,17,1,14,1,15,2,14,1,16,8,14,1,15,1,8,2,14,1,17,1,16,4,17,1,14,1,15,3,14,2,16,3,14,1,15,1,8,2,15,1,14,1,17,1,16,9,17,1,14,9,16,2,17,1,14,4,16,1,17,1,14,9,16,6,14,3,16,5,14,2,16,3,14,2,15,1,14,1,8,1,10,2,14,1,16,4,14,1,15,3,14,2,16,2,14,3,15,1,14,2,17,1,14,2,17,1,14,2,15,2,14,1,16,4,15,1,8,1,14,1,16,19,3,2,16,8,17,1,14,1,16,5,14,1,15,2,14,8,3,1,14,1,15,1,8,2,14,1,16,5,14,1,8,3,18,1,8,7,18,1,8,4,18,2,14,1,15,1,18,1,8,2,15,2,14,20,17,1,16,55,17,1,14,1,17,1,16,65,14,2,17,1,16,4,17,1,14,1,17,13,16,14,17,1,14,3,15,5,14,1,15,2,8,3,18,1,14,2,3,3,14,5,17,2,16,2,17,1,14,78,3,1,14,75,15,1,18,11,8,4,18,4,8,1,18,4,8,18,18,6,8,6,18,1,8,9,18,3,8,40,10,3,8,11,10,1,8,23,10,2,8,1,10,1,8,6,10,65,8,1,10,19,8,7,10,5,8,7,10,12,8,8,10,4,8,36,10,4,8,20,10,4,8,7,10,1,8,2,10,4,8,5,10,7,8,2,10,6,8,7,18,1,4,42,19,6,4,2,18,1,8,1,10,8,8,5,10,5,8,6,10,5,8,1,10,39,8,14,10,1,8,8,18,2,8,2,10,8,18,4,10,2,8,3,9,1,18,1,4,3,19,5,4,33,19,5,4,3,10,224,8,1,18,1,8,4,15,1,14,3,7,2,14,1,7,1,8,4,18,2,8,2,4,7,19,9,4,720,},
{4,639,19,5,4,2,10,11,8,2,18,7,8,1,10,6,9,1,10,5,9,1,8,1,15,1,14,2,15,2,14,2,16,2,14,1,8,5,10,2,8,8,10,2,8,2,14,5,8,2,10,32,8,2,18,1,8,2,15,3,8,1,9,1,10,2,9,2,8,1,14,9,15,2,18,2,8,1,10,5,18,2,14,1,3,2,16,20,14,3,17,1,16,1,17,1,14,3,17,1,16,4,17,2,16,2,14,4,16,8,14,1,15,1,8,1,15,1,14,1,16,5,14,1,15,2,14,2,16,5,17,1,14,1,15,2,14,1,17,1,16,10,14,2,15,2,14,5,17,1,16,2,17,1,14,4,16,6,17,2,14,3,16,2,17,1,14,5,17,1,16,5,14,2,16,3,14,2,15,2,8,1,10,2,14,1,16,4,14,2,15,1,14,2,16,3,14,1,15,3,14,1,17,1,16,2,14,6,17,1,16,3,14,1,8,2,14,1,16,19,3,2,16,8,15,1,8,1,14,1,16,4,14,2,15,1,14,1,3,2,14,5,3,2,14,1,8,2,14,1,16,4,17,1,7,1,8,1,10,1,8,1,18,1,8,2,10,2,8,8,18,4,8,3,15,1,14,12,17,2,14,7,17,1,16,55,17,1,14,2,17,1,16,64,17,3,16,5,17,1,16,6,17,7,16,9,17,3,16,2,17,2,14,9,15,1,18,1,8,3,14,2,3,3,14,6,17,1,16,1,17,2,14,16,17,3,14,136,15,1,18,5,14,4,18,1,8,3,18,8,15,1,18,2,8,17,18,5,8,5,18,4,8,7,18,4,8,40,10,4,8,8,10,3,8,22,10,5,8,6,10,64,8,3,10,10,8,2,10,5,8,8,10,5,8,7,10,10,8,10,10,3,8,36,10,6,8,15,10,8,8,7,10,8,8,5,10,6,8,2,10,5,8,8,18,1,4,42,19,6,4,2,10,1,8,1,10,9,8,3,10,7,8,4,10,47,8,12,10,2,8,7,18,4,10,14,8,5,4,40,19,7,4,2,10,224,8,1,18,4,8,2,15,1,14,7,8,3,18,3,8,1,10,1,4,1,19,13,4,722,},
{4,639,19,5,4,2,10,12,8,1,18,3,8,5,10,13,8,1,15,1,14,2,15,2,14,1,17,1,16,2,14,1,8,1,7,2,8,2,10,1,8,5,10,2,8,1,10,4,8,1,14,2,3,1,14,2,8,1,10,32,8,3,18,1,15,3,14,1,15,2,8,1,9,4,15,1,14,2,16,3,14,5,15,1,18,2,8,1,10,4,18,3,14,1,3,1,16,20,17,1,14,4,16,2,14,3,17,1,16,4,17,2,16,2,17,1,14,2,17,1,16,8,14,1,15,2,14,1,16,5,14,1,15,1,8,1,14,1,16,9,14,3,16,10,17,1,14,2,15,1,14,3,17,3,16,3,14,6,16,6,14,4,17,2,14,5,17,1,16,1,17,1,14,2,16,1,17,1,14,6,15,4,8,2,14,1,17,1,16,4,14,3,17,1,16,3,14,1,8,2,15,1,14,1,16,3,14,5,16,4,14,1,8,1,10,1,8,1,16,14,3,2,16,4,3,1,16,9,14,1,8,1,15,1,16,4,3,1,15,1,18,1,14,1,3,2,14,1,18,3,3,2,16,1,3,1,18,1,8,1,14,1,16,4,17,1,8,4,18,2,8,1,10,2,8,2,18,1,8,5,18,2,8,5,15,1,14,12,17,1,16,1,17,1,14,6,17,1,16,56,17,3,16,65,17,1,16,14,17,6,16,9,17,7,14,10,8,4,14,2,3,3,14,7,17,2,14,17,17,4,14,137,15,2,14,7,8,2,18,8,15,1,14,2,18,2,8,16,18,3,8,7,18,4,8,4,18,7,8,41,10,4,8,2,18,2,8,3,10,3,8,22,10,7,8,3,10,66,8,2,10,10,8,2,10,4,8,10,10,4,8,2,10,1,8,4,10,9,8,50,10,6,8,5,10,1,8,8,10,10,8,6,10,9,8,4,10,6,8,3,10,3,8,9,18,1,4,42,19,5,4,2,18,1,10,11,8,3,10,7,8,3,10,48,8,12,10,1,8,7,18,5,10,3,4,6,10,4,8,5,10,1,4,40,19,7,4,2,10,223,8,1,18,1,14,2,18,1,8,3,18,1,14,4,15,1,14,2,18,1,8,1,18,1,8,2,18,2,4,2,19,8,4,727,},
{4,639,19,5,4,1,10,13,8,1,18,3,8,2,10,16,8,1,15,1,14,2,8,2,14,1,17,1,16,2,14,1,8,1,7,2,8,7,10,8,8,1,14,5,8,1,10,30,8,2,18,2,8,2,15,1,14,4,15,2,8,4,15,1,14,1,16,5,14,5,15,1,18,1,9,1,10,4,18,3,14,1,3,1,16,20,17,1,14,4,16,2,14,3,17,1,16,8,17,1,14,2,17,1,16,8,14,1,15,2,14,1,16,4,17,1,14,1,8,2,14,1,16,21,17,1,14,6,17,1,16,6,14,6,16,6,14,9,17,1,16,3,14,11,15,4,8,1,15,1,14,2,16,4,14,2,17,1,16,3,14,1,15,1,8,2,15,1,14,1,16,3,14,2,15,1,14,1,16,4,17,1,8,1,10,1,8,1,14,1,16,13,3,1,4,2,3,1,16,14,14,2,16,4,14,1,8,1,10,1,18,1,15,1,18,5,3,1,16,2,3,1,14,1,18,1,14,1,16,5,7,1,8,2,15,1,14,2,18,1,8,1,10,1,8,1,18,2,8,2,10,1,8,9,15,1,14,8,17,2,14,2,17,1,16,1,17,1,14,6,16,58,17,2,16,50,17,2,16,31,17,1,16,11,17,7,14,10,8,4,14,2,3,2,14,15,17,4,14,8,17,5,14,145,18,1,8,1,18,1,14,2,18,5,14,3,15,1,18,1,8,2,18,2,8,11,18,4,8,7,18,4,8,4,18,7,8,42,10,3,8,2,18,3,8,2,10,3,8,20,10,43,8,1,10,52,8,10,10,10,8,5,10,4,8,33,10,11,8,7,10,6,8,5,10,1,8,6,10,12,8,6,10,9,8,5,10,4,8,4,10,3,8,9,18,1,4,2,19,3,4,36,19,6,4,2,10,22,8,2,10,40,8,1,10,2,8,1,10,4,8,21,18,4,10,4,4,1,18,1,4,2,10,2,8,8,10,1,4,36,19,11,4,3,10,223,18,2,14,1,18,2,10,3,8,1,14,3,18,1,8,1,18,5,10,2,4,3,19,9,4,727,},
{4,639,19,4,4,2,10,13,8,1,18,3,8,1,10,4,8,5,10,8,8,1,15,1,14,1,15,1,8,2,14,1,16,3,14,1,8,1,7,2,8,5,18,1,8,2,10,6,8,2,14,5,8,2,10,29,8,1,18,3,8,2,15,1,14,6,15,4,14,2,16,6,14,5,18,1,8,1,10,4,18,1,3,1,18,1,3,1,16,21,14,5,16,2,14,3,16,9,17,1,14,2,17,1,16,7,17,1,14,1,15,1,14,1,17,1,16,3,17,1,14,1,15,1,8,1,15,1,16,20,17,3,14,6,17,1,16,6,17,1,14,6,16,5,14,8,17,1,16,3,14,6,16,1,17,1,14,2,15,7,14,2,16,11,14,1,15,1,8,2,14,1,16,4,14,4,16,4,14,1,8,2,14,1,16,13,3,1,18,1,4,2,3,1,16,20,14,1,10,4,8,2,10,2,18,1,3,5,18,1,14,1,16,4,3,1,14,7,8,1,10,1,8,1,18,2,8,2,10,1,8,10,15,1,14,6,17,1,16,1,17,1,14,2,17,2,14,6,17,1,16,109,17,3,16,43,17,1,14,3,17,3,14,9,15,1,8,4,14,2,3,2,14,15,17,1,16,2,17,2,14,11,17,1,14,145,18,2,14,4,18,3,15,1,14,4,18,1,8,2,18,4,8,9,18,3,8,8,18,5,8,2,18,5,8,23,10,2,8,20,10,3,8,2,18,3,8,2,10,2,8,19,10,44,8,2,10,51,8,11,10,10,8,41,10,13,8,6,10,6,8,5,10,1,8,6,10,12,8,6,10,1,8,1,10,7,8,5,10,4,8,4,10,3,8,9,18,1,4,1,19,4,4,35,19,6,4,2,18,1,8,1,10,2,8,2,10,16,8,2,10,28,8,1,10,15,8,1,10,3,8,22,18,4,10,1,8,3,4,5,10,1,8,7,9,1,4,36,19,10,4,4,18,1,10,141,8,2,10,80,8,1,14,2,18,1,8,1,10,3,18,1,14,2,18,2,4,3,18,1,4,6,19,1,4,1,19,8,4,727,},
{4,639,19,4,4,1,10,14,8,1,18,1,14,1,18,1,8,1,10,3,9,1,8,1,18,1,8,3,10,8,8,1,15,1,14,1,15,1,8,1,15,1,14,1,16,3,14,1,8,8,18,1,8,2,10,6,8,1,15,1,14,5,15,1,8,2,10,28,8,2,18,2,8,2,15,1,14,12,3,1,16,5,14,6,18,1,9,1,10,3,18,1,3,1,14,1,3,1,16,5,17,1,16,15,14,4,17,1,16,2,14,3,16,9,14,3,16,8,14,1,15,2,14,1,17,1,16,3,14,2,15,2,14,1,16,23,17,1,14,5,17,1,16,7,14,9,17,1,14,8,17,1,16,4,14,6,16,2,14,1,8,3,14,2,15,1,14,3,16,12,14,1,15,1,8,1,15,1,14,1,16,4,14,3,17,1,16,4,14,1,8,1,15,1,16,13,3,1,18,1,4,3,16,21,18,1,10,1,18,1,10,7,18,2,3,2,18,3,3,1,16,3,3,1,14,7,8,1,10,1,8,16,15,2,14,4,17,1,16,2,17,1,14,2,17,2,14,6,17,1,16,60,17,1,16,48,17,3,16,21,17,3,16,18,17,2,14,4,17,2,14,9,15,1,8,3,15,1,14,2,17,2,14,14,17,2,16,1,17,3,14,18,17,1,14,1,17,1,14,34,15,2,14,8,15,1,14,14,15,4,14,37,15,1,14,17,15,1,14,17,15,1,18,1,14,5,18,2,14,5,18,1,8,2,18,2,14,1,18,3,8,7,18,2,8,10,18,11,8,22,10,1,8,1,10,3,8,18,10,3,8,2,18,3,8,2,10,2,8,19,10,44,8,3,10,37,8,6,10,6,8,12,10,11,8,40,10,13,8,6,10,5,8,13,10,11,8,10,10,6,8,5,10,5,8,3,10,3,8,3,10,2,8,4,10,1,4,1,19,5,4,34,19,6,4,2,18,1,8,1,10,2,8,3,10,1,8,1,10,3,8,2,10,2,8,1,10,4,8,4,10,26,8,1,10,4,8,1,10,9,8,28,18,3,10,2,8,3,4,6,10,3,8,5,4,37,19,8,4,4,18,1,10,139,8,8,10,77,8,1,18,1,14,1,18,1,8,1,10,2,8,1,18,1,3,2,18,1,4,3,19,1,4,3,19,5,4,4,19,4,4,728,},
{4,639,19,3,4,2,10,8,8,2,10,4,8,1,18,1,14,1,18,1,8,1,10,2,9,1,8,1,18,2,15,1,8,2,10,7,9,1,8,1,15,3,8,1,15,1,14,1,16,2,14,2,8,8,18,1,8,3,10,4,8,2,15,1,14,6,15,1,8,2,10,22,8,3,10,4,8,3,18,1,14,5,3,3,14,1,3,2,16,1,3,1,14,2,16,4,14,3,3,4,18,1,9,1,10,2,18,1,3,3,16,4,14,2,16,14,17,1,14,4,16,3,14,2,16,5,17,1,16,3,14,4,16,8,14,1,15,2,14,1,17,1,16,3,14,1,15,2,14,1,16,7,17,1,16,16,17,1,14,3,17,1,16,9,14,18,17,1,16,4,14,6,17,1,14,1,15,1,8,3,14,5,16,13,14,1,15,2,14,1,17,1,16,4,17,1,14,2,16,5,14,2,16,14,3,1,4,3,3,1,16,20,3,1,18,1,10,1,18,2,9,1,8,5,10,2,18,3,10,1,8,1,18,1,3,3,14,8,8,1,10,2,8,5,18,2,8,1,10,1,8,7,15,2,14,3,16,3,14,11,17,1,16,44,17,1,16,64,17,1,6,1,17,1,16,21,17,5,16,16,17,2,14,4,17,2,14,9,15,1,8,3,15,1,14,2,17,2,14,4,15,2,14,3,17,3,14,3,17,2,14,57,15,3,14,23,15,4,14,37,15,5,14,12,15,3,14,23,18,2,14,5,18,2,8,1,18,1,14,4,18,8,8,13,18,8,8,24,10,1,8,1,10,3,8,18,10,3,8,2,18,3,8,2,10,2,8,19,10,84,8,6,10,6,8,1,10,2,8,9,10,10,8,5,10,14,8,22,10,13,8,7,10,4,8,16,10,8,8,11,10,4,8,6,10,4,8,4,10,3,8,2,10,3,8,4,10,1,4,1,19,5,4,34,19,6,4,1,18,2,8,1,10,2,8,10,10,2,8,9,10,5,8,2,10,24,8,6,10,4,8,27,18,3,10,2,8,3,10,1,4,7,10,4,8,2,10,1,4,36,19,7,4,3,18,2,10,140,8,10,10,76,8,1,18,4,8,1,10,1,18,2,3,2,18,1,4,2,19,10,4,5,19,2,4,729,},
{4,639,19,3,4,2,10,8,8,2,10,4,8,1,18,3,8,1,10,2,8,1,18,1,15,1,18,1,8,3,10,8,8,1,18,1,15,4,14,1,16,1,17,1,14,1,15,1,8,11,10,4,8,3,15,1,14,6,15,1,8,2,10,22,8,1,18,1,8,2,10,4,8,2,15,1,14,5,3,3,14,1,3,1,16,2,3,1,14,2,16,4,17,2,3,6,18,1,10,2,9,1,18,1,3,1,16,4,3,1,14,2,17,1,16,13,17,1,14,3,16,3,14,1,15,1,14,1,16,3,14,3,16,3,14,2,15,1,14,1,16,7,17,1,14,4,17,1,16,2,17,1,14,1,15,2,17,1,16,7,17,1,16,9,17,1,14,1,17,2,16,2,17,1,14,4,16,10,14,14,17,1,14,5,16,3,14,8,8,1,10,2,8,1,14,5,16,13,14,1,15,2,14,1,16,5,17,1,14,2,16,15,3,2,16,4,18,1,4,2,18,1,3,1,16,21,3,1,10,1,9,1,10,1,9,1,8,8,10,4,8,1,18,1,14,3,15,1,14,5,15,1,10,3,8,5,15,1,18,1,8,10,15,1,14,2,17,1,16,2,17,1,14,11,17,1,16,43,17,2,16,64,17,1,6,1,17,1,16,16,17,1,16,3,17,9,16,13,17,2,14,14,15,2,8,3,15,1,14,2,17,2,14,4,15,2,14,3,17,3,14,8,17,1,16,2,17,1,14,3,15,2,14,72,15,3,14,54,15,4,14,22,18,2,14,5,15,1,18,1,8,1,18,1,14,10,18,2,8,14,18,5,8,13,10,2,8,12,10,4,8,18,10,3,8,3,18,1,8,2,10,3,8,19,10,84,8,6,10,11,8,7,10,4,8,1,10,2,8,4,10,20,8,20,10,13,8,33,10,1,8,4,18,1,8,7,10,4,8,15,10,2,8,2,10,3,8,4,10,1,4,1,19,5,4,34,19,5,4,2,18,2,8,10,10,10,8,12,10,24,8,17,18,1,8,17,18,3,10,2,8,4,10,1,4,6,10,4,8,2,18,1,4,37,19,7,4,2,18,2,8,1,10,140,8,10,10,76,8,1,18,1,14,1,18,4,4,1,18,3,4,3,19,10,4,736,},
{4,639,19,3,4,2,10,8,8,3,10,3,8,2,18,1,8,1,10,2,8,1,18,2,15,1,8,1,10,11,8,1,18,1,14,2,15,1,14,5,15,1,8,5,15,1,8,5,10,3,8,3,15,2,14,6,15,1,8,2,10,17,18,2,10,3,8,1,18,1,8,2,10,4,8,1,15,1,14,11,16,3,14,2,16,10,3,3,18,1,10,1,9,1,18,1,3,1,16,4,14,3,17,1,16,12,17,3,14,1,17,1,16,3,14,1,15,1,14,1,16,2,17,1,14,3,16,2,17,1,14,1,15,1,14,1,17,1,16,7,14,4,17,1,16,2,17,1,14,2,15,1,14,1,16,7,17,1,16,9,14,9,15,1,14,2,16,10,14,13,16,1,17,1,14,12,15,2,14,1,15,1,8,1,10,1,8,1,14,2,3,1,14,2,3,1,16,5,17,2,16,6,14,1,15,1,14,1,16,6,17,1,14,2,16,14,14,3,16,4,3,1,4,2,3,1,16,22,3,1,10,1,18,1,10,1,8,11,10,3,8,1,18,1,14,8,15,1,10,3,8,2,18,3,14,1,18,1,8,9,15,2,14,3,17,2,14,12,17,1,16,93,17,3,16,12,17,2,6,1,17,1,16,9,17,2,16,4,17,9,14,4,17,3,16,11,17,3,14,13,15,2,8,2,15,1,14,3,17,1,14,5,15,1,14,3,17,4,14,8,17,1,16,3,14,3,15,2,14,64,17,2,14,7,15,2,14,55,15,3,14,22,18,2,14,5,15,1,18,1,8,1,18,1,14,11,18,1,8,3,18,1,8,11,18,4,8,12,10,4,8,11,10,4,8,18,10,3,8,6,10,3,8,22,10,81,8,6,10,21,8,8,10,20,8,21,10,1,8,2,10,1,8,1,10,7,8,37,18,3,8,7,10,2,8,16,10,6,8,5,10,1,4,3,19,2,4,36,19,3,4,3,18,2,8,7,10,13,8,17,10,19,8,14,18,1,8,2,18,1,8,12,10,1,8,4,18,2,10,2,8,5,10,1,4,6,10,1,8,1,10,1,8,2,9,1,4,38,19,7,4,1,18,1,8,3,10,141,8,8,10,43,8,2,10,32,8,1,18,4,10,1,4,8,19,9,4,737,},
{4,639,19,4,4,1,10,8,8,3,10,3,8,4,10,2,8,1,18,2,8,1,10,12,9,1,8,1,14,2,15,1,14,4,15,2,8,4,15,1,14,1,15,1,8,4,10,2,8,4,15,1,14,7,15,1,8,2,10,15,8,1,10,1,18,1,10,5,8,2,10,5,8,1,15,1,14,11,16,3,14,1,17,1,16,11,3,2,18,1,9,1,8,1,3,2,16,4,14,3,17,1,16,11,17,1,14,1,16,6,14,2,15,1,14,1,16,2,14,4,16,2,14,4,16,7,17,1,14,3,17,1,16,2,14,6,16,6,17,2,16,8,14,2,15,2,14,6,15,1,14,1,17,1,16,9,17,1,14,12,17,2,14,13,15,1,8,5,15,1,14,1,3,2,14,2,3,1,16,5,14,2,16,6,14,1,15,1,14,1,16,6,14,1,15,1,14,1,16,13,3,1,14,1,15,1,3,1,16,4,3,1,4,2,3,1,16,15,3,2,16,4,3,1,18,1,10,1,8,13,10,3,8,1,18,1,14,1,3,2,14,5,15,1,10,3,8,2,15,3,14,1,18,2,8,8,15,2,14,17,17,1,16,93,17,3,16,13,17,3,16,9,17,2,16,4,17,9,14,4,17,4,16,10,17,5,14,11,15,5,14,13,17,3,14,9,17,1,16,3,17,1,14,68,17,3,14,64,15,2,14,22,18,1,14,6,15,1,18,3,14,10,18,7,8,11,18,2,8,13,10,4,8,12,10,4,8,17,10,4,8,4,10,4,8,25,10,105,8,8,10,20,8,26,10,7,8,8,10,3,8,5,10,2,8,19,18,2,8,8,10,2,8,17,10,5,8,5,10,1,4,47,18,2,8,5,10,16,8,12,10,1,8,4,10,3,8,2,10,13,8,29,10,3,8,2,18,2,8,1,10,1,8,6,10,1,4,6,8,5,10,1,4,38,19,5,4,3,18,1,8,2,10,143,8,5,10,37,8,2,10,6,8,3,10,31,8,5,10,1,4,754,},
{4,639,19,4,4,2,10,7,8,4,10,1,8,5,10,2,8,3,9,1,10,13,8,1,14,6,15,1,8,1,15,1,8,1,10,2,8,1,14,3,8,1,10,1,8,7,15,2,14,7,15,1,8,2,10,15,8,1,10,14,8,1,15,1,14,8,15,2,14,1,3,1,16,1,3,1,14,2,17,1,16,7,3,5,18,3,3,1,16,4,3,1,14,2,17,2,16,9,17,2,14,2,17,1,16,4,17,1,14,4,16,2,14,3,16,3,14,3,16,8,14,3,17,1,16,3,14,5,16,3,17,3,14,2,17,1,16,7,17,1,14,1,15,3,14,8,16,10,14,11,16,1,17,3,14,13,15,1,8,4,14,2,3,3,14,2,3,2,17,1,16,3,14,2,17,1,16,5,14,2,16,7,14,1,15,2,17,1,16,12,3,3,16,5,3,1,4,2,3,1,16,14,3,2,16,5,3,1,18,1,10,1,8,4,10,1,8,2,10,1,8,6,10,3,18,1,14,1,3,2,14,2,17,1,14,2,8,1,10,3,8,1,15,1,14,1,15,2,18,3,8,7,15,1,14,19,17,1,16,94,17,1,16,26,17,3,16,2,17,5,14,3,17,2,14,4,17,3,16,10,17,6,14,11,15,5,14,13,17,3,14,10,17,3,14,69,17,3,14,1,3,1,14,63,15,2,14,20,18,3,14,4,15,2,18,3,14,2,18,5,14,3,18,4,14,2,18,3,8,17,10,2,8,5,10,4,8,12,10,4,8,17,10,4,8,3,10,4,8,28,10,85,8,1,10,16,8,1,10,1,8,1,10,4,8,2,10,18,8,28,10,8,8,7,10,3,8,6,10,1,8,7,10,9,8,3,18,2,8,7,10,4,8,16,10,5,8,5,10,1,18,1,4,45,18,2,8,4,10,18,8,11,10,3,8,12,10,9,8,14,18,1,8,14,10,3,8,2,18,2,10,2,8,6,10,1,4,6,10,1,8,4,9,1,4,38,19,4,4,3,18,1,8,1,10,145,8,3,10,39,8,3,10,4,8,4,10,31,8,4,10,2,4,754,},
{4,639,19,4,4,6,10,4,8,6,18,2,8,1,10,2,8,3,10,14,8,1,14,6,15,1,8,1,15,1,8,1,10,2,8,1,15,1,14,2,8,1,10,1,8,1,18,2,14,1,15,1,8,1,15,2,14,8,15,1,8,3,10,14,8,1,10,13,8,2,15,3,14,6,15,3,14,1,16,1,14,4,17,1,16,6,3,5,18,3,3,1,16,3,3,2,14,2,16,8,17,1,16,1,17,1,14,5,16,3,17,1,14,3,17,1,16,1,14,4,17,1,16,3,14,2,16,9,14,3,17,1,16,2,17,1,14,1,15,1,14,1,17,1,16,3,17,2,14,1,17,1,14,3,17,1,16,6,17,1,14,1,15,3,14,7,16,7,17,2,16,2,14,8,15,1,14,2,16,2,17,1,14,4,16,2,14,3,15,2,14,4,15,1,8,2,15,1,14,1,16,3,14,6,17,1,16,2,14,3,16,4,14,1,15,1,14,1,16,7,14,1,15,1,14,1,17,1,16,21,3,1,18,1,3,1,16,13,3,2,16,5,3,2,10,2,8,3,4,2,10,1,8,10,10,1,8,1,14,1,3,3,14,1,16,1,17,1,14,1,8,1,10,3,8,1,15,1,14,1,15,1,8,11,15,1,14,19,17,1,16,11,17,3,16,108,17,3,16,1,17,2,14,1,17,2,14,3,17,2,14,2,17,4,16,11,17,3,16,2,17,1,14,11,15,6,14,12,17,2,14,5,17,1,16,2,17,1,14,19,15,2,14,5,17,1,3,1,14,21,15,4,14,21,17,1,16,1,17,2,3,2,14,44,15,1,14,17,15,2,14,18,18,6,14,1,18,3,15,1,18,6,8,3,18,7,14,4,18,6,8,12,10,2,8,7,10,4,8,11,10,7,8,15,10,3,8,2,10,5,8,29,10,70,8,3,10,10,8,3,10,13,8,3,10,8,8,4,10,1,8,7,10,1,8,1,10,1,8,29,10,11,8,5,10,4,8,4,10,5,8,1,10,13,8,4,18,1,8,3,10,1,8,1,10,6,8,15,10,5,8,7,18,2,4,7,19,5,4,31,18,3,8,4,10,8,8,3,10,7,8,3,10,3,8,5,10,3,8,13,10,8,8,30,10,2,8,4,10,2,8,7,4,8,10,2,8,1,9,1,4,38,19,4,4,1,18,3,10,5,8,1,10,139,8,5,10,40,8,10,10,29,8,5,10,2,4,754,},
{4,639,19,4,4,6,10,5,8,5,18,3,8,1,10,1,8,3,9,1,10,6,9,1,8,1,9,1,10,4,8,1,14,6,15,2,14,1,15,1,10,2,8,1,15,1,14,2,8,2,18,1,14,1,3,1,14,1,15,3,14,9,15,1,8,5,10,24,8,5,15,3,14,4,15,2,8,1,14,2,16,1,14,4,17,1,16,6,3,5,15,1,18,1,3,2,16,3,3,1,14,3,17,1,16,6,17,1,6,1,17,2,14,2,17,1,16,1,17,1,16,3,14,4,16,2,14,3,17,1,16,4,14,2,16,9,14,1,15,2,14,1,16,2,17,1,14,3,16,3,17,1,14,8,16,6,14,2,15,2,14,7,16,6,17,5,14,9,15,1,14,2,16,1,17,1,14,5,16,2,14,3,15,1,14,4,15,1,8,3,14,1,16,3,17,1,14,6,17,1,16,1,17,1,14,3,16,4,14,1,15,1,14,1,16,7,14,3,17,1,16,3,14,2,16,17,3,2,16,13,3,2,16,6,14,1,10,2,8,1,10,5,8,10,10,2,18,1,14,3,17,1,16,2,14,1,8,1,10,2,8,2,14,2,15,1,8,10,15,2,14,20,16,9,17,1,14,1,7,2,14,1,17,1,16,79,17,1,16,27,17,4,14,3,17,2,14,3,17,7,16,10,17,4,16,4,17,1,14,12,15,3,14,13,17,2,14,4,17,2,16,2,17,1,14,18,15,4,14,27,15,4,14,21,17,4,3,2,14,34,15,4,14,6,15,1,14,32,15,1,14,3,18,9,15,2,14,3,18,3,8,4,18,3,8,2,18,2,14,4,18,7,8,11,10,1,8,11,10,1,8,12,10,6,8,17,10,7,8,30,10,70,8,3,10,11,8,1,10,15,8,1,10,9,8,8,10,1,8,38,10,9,8,3,10,5,8,4,10,20,8,7,10,8,8,1,10,1,8,13,10,5,8,8,18,1,4,6,19,6,4,31,18,2,8,4,10,4,8,1,10,6,8,1,10,7,8,3,10,3,8,4,10,5,8,11,10,9,8,21,10,1,8,9,10,1,8,4,10,2,8,8,4,4,10,6,9,1,4,39,19,2,4,2,18,2,8,1,10,5,8,1,10,137,8,6,10,41,8,4,10,4,8,2,10,18,8,2,10,9,8,4,10,3,4,754,},
{4,650,10,7,8,2,18,1,14,2,8,1,10,1,9,1,8,1,14,1,15,1,8,1,10,4,8,1,18,2,8,4,10,1,8,1,14,7,15,1,14,1,15,1,8,3,15,1,14,5,3,1,14,2,15,2,7,1,14,9,15,1,8,5,10,12,8,1,10,10,8,3,10,2,8,1,18,2,15,1,14,4,15,1,8,2,14,1,16,3,17,2,16,11,17,1,14,2,15,1,14,2,16,3,14,5,16,6,14,3,16,9,17,3,16,10,14,3,16,8,14,6,17,1,16,1,17,2,16,3,17,1,14,3,17,1,14,5,16,5,17,1,14,11,16,11,14,6,16,2,14,3,17,1,16,1,17,1,14,3,17,1,16,2,17,1,14,7,8,4,14,1,16,4,14,6,17,1,16,2,14,3,17,1,16,3,14,4,16,6,3,1,14,3,3,1,16,3,14,2,16,32,3,1,14,1,16,6,14,1,8,1,10,2,8,1,18,3,10,1,8,4,10,1,4,3,10,4,8,1,7,2,6,1,17,1,16,1,3,1,14,1,15,1,8,1,10,1,8,1,15,1,14,2,15,1,8,8,15,2,14,1,15,2,14,12,3,1,14,7,17,1,16,6,14,2,8,4,14,1,16,43,17,2,16,33,17,3,16,3,17,1,14,1,17,1,16,7,17,5,16,10,17,1,14,4,17,1,16,1,14,6,16,2,17,2,16,9,17,1,14,2,17,1,16,4,17,2,14,4,17,3,14,21,17,9,16,2,17,1,14,5,17,2,14,11,15,3,14,27,15,4,14,10,15,1,14,2,15,2,14,4,17,2,14,4,3,3,14,11,15,2,14,21,15,4,14,36,15,11,18,2,15,1,14,6,18,2,8,3,18,3,8,6,18,1,14,3,18,1,14,4,18,2,8,37,10,5,8,1,10,1,8,3,10,4,8,1,10,1,8,7,10,4,8,31,10,7,8,1,10,6,8,3,10,54,8,3,10,32,8,3,10,2,8,7,10,4,8,3,10,4,8,6,10,4,8,22,10,15,8,1,10,15,8,1,10,6,8,6,10,3,8,3,10,2,8,1,10,3,8,26,18,1,4,5,19,6,4,22,19,6,4,4,8,4,10,4,8,2,10,14,8,10,10,5,8,1,10,1,8,4,10,10,8,41,10,7,8,8,10,3,8,2,4,30,19,5,4,8,18,1,8,2,10,126,8,1,10,15,8,4,10,42,8,4,10,26,8,1,10,6,8,3,10,1,8,3,10,4,4,4,19,6,4,744,},
{4,650,10,8,8,2,14,2,8,1,10,2,8,1,14,2,15,1,8,1,10,3,8,1,18,1,15,1,8,6,14,4,16,1,17,1,14,4,15,1,8,2,15,2,14,3,3,2,14,2,15,2,14,2,7,1,15,1,8,2,7,2,14,2,7,1,8,5,10,22,8,3,10,3,8,2,18,1,14,4,15,2,8,2,14,1,16,17,14,2,15,1,14,1,17,4,14,6,16,5,14,2,16,22,17,1,14,1,17,1,16,8,17,1,14,1,15,1,14,4,17,1,16,5,17,1,14,1,15,2,14,1,17,1,14,4,17,1,16,4,17,1,14,11,16,11,14,6,16,3,14,3,17,2,14,4,16,2,17,1,14,7,15,1,8,1,10,1,8,1,15,1,17,1,16,3,17,1,14,5,17,1,16,2,17,1,14,3,16,3,14,1,15,2,14,1,3,1,16,6,14,4,3,1,16,3,14,2,3,1,16,30,3,1,14,2,16,7,14,1,8,2,14,2,3,1,18,1,10,1,8,2,10,2,4,4,18,2,8,1,10,2,8,1,7,1,6,1,17,2,3,1,14,1,18,1,8,1,10,1,8,1,18,1,14,2,8,9,15,1,14,2,15,3,14,19,17,1,3,3,17,1,14,3,8,1,10,2,8,2,14,1,16,34,14,2,16,7,17,2,16,33,17,1,14,1,17,1,16,2,17,1,14,3,17,14,16,9,14,4,16,2,14,6,3,1,17,1,14,1,17,1,16,9,14,1,7,2,17,1,16,5,17,1,14,4,17,2,14,22,17,7,14,1,17,10,14,13,15,5,14,1,15,1,14,23,15,1,14,15,15,3,14,3,17,2,14,4,3,3,14,11,15,2,14,21,15,4,14,36,15,11,18,1,15,2,14,5,18,9,8,6,18,2,14,1,18,2,14,5,18,1,8,31,10,2,8,5,10,2,8,7,10,3,8,10,10,4,8,4,10,2,8,24,10,7,8,2,10,5,8,5,10,24,8,2,10,6,8,2,10,20,8,2,10,31,8,4,10,3,8,5,10,5,8,3,10,4,8,5,10,9,8,19,10,27,8,8,10,11,8,6,10,3,8,26,10,1,18,2,4,3,19,6,4,22,19,6,4,3,18,1,8,2,10,6,8,3,10,13,8,10,10,7,8,2,10,10,8,45,10,6,8,12,10,1,4,29,19,6,4,4,18,4,8,1,10,11,8,4,10,111,8,1,10,15,8,4,10,42,8,4,10,27,8,1,10,5,8,4,10,1,8,3,10,5,4,3,19,6,4,744,},
{4,643,19,4,4,3,10,7,8,3,14,1,18,1,8,1,10,2,8,1,14,2,15,1,8,1,10,4,8,1,18,1,8,6,14,4,16,2,14,4,15,1,8,2,15,1,14,4,3,2,14,2,15,2,14,1,7,1,15,1,8,4,7,1,14,2,7,1,8,5,10,24,8,1,10,4,8,2,15,1,14,3,15,2,8,2,14,2,16,11,17,1,16,4,14,2,15,1,14,3,17,4,14,1,15,2,14,1,16,5,14,1,16,23,17,1,14,1,16,7,17,1,14,2,15,1,14,2,17,2,16,7,14,1,15,1,8,2,14,1,17,2,14,2,17,1,16,5,14,5,15,2,14,3,17,1,16,10,17,1,14,6,16,3,17,1,14,8,17,1,16,2,17,1,14,6,15,1,8,1,10,1,8,1,15,1,14,1,16,4,17,1,14,4,17,1,16,3,14,4,16,3,14,1,15,1,8,1,15,1,14,1,16,6,14,1,15,2,14,1,3,1,16,37,3,2,16,8,17,1,14,3,3,1,18,1,10,4,4,5,18,3,10,2,8,1,7,2,14,4,8,1,10,2,8,2,15,2,8,1,10,1,8,4,15,2,8,5,15,2,14,7,3,1,14,10,3,1,17,1,3,1,14,4,15,1,8,5,14,1,17,1,16,33,14,4,16,42,17,3,16,1,17,1,14,3,17,1,14,4,17,1,16,5,17,2,6,1,17,1,16,8,14,4,16,1,17,1,14,9,17,2,16,6,17,2,14,1,7,1,14,1,17,1,16,6,17,1,14,29,17,3,14,4,17,2,16,5,17,1,14,8,15,4,14,3,15,6,14,15,3,3,14,22,15,2,14,9,3,3,14,12,15,1,14,62,15,10,18,1,15,1,14,7,18,8,8,6,18,5,14,5,18,2,8,30,10,1,8,28,10,5,8,3,10,2,8,23,10,9,8,3,10,6,8,5,10,21,8,2,10,6,8,2,10,20,8,3,10,31,8,3,10,3,8,5,10,5,8,3,10,4,8,6,10,8,8,19,10,26,8,10,10,12,8,1,10,1,8,2,10,3,8,27,18,3,4,2,19,5,4,23,19,6,4,2,18,2,8,1,10,7,8,4,10,12,8,8,10,8,8,3,10,9,8,36,10,2,8,3,18,4,8,2,10,5,8,13,9,1,10,1,4,18,19,4,4,5,19,6,4,3,18,5,10,12,8,4,10,126,8,3,10,7,8,5,10,32,8,3,10,5,8,2,10,21,8,3,10,1,8,10,10,7,4,2,19,5,4,744,},
{4,643,19,5,4,2,10,6,8,4,18,2,9,1,10,3,18,1,15,2,8,2,10,3,8,1,18,1,8,6,14,4,16,1,17,1,14,5,15,4,14,6,15,1,14,3,7,1,8,5,7,1,14,2,7,1,15,1,8,4,10,19,8,2,10,1,8,3,10,5,8,1,18,1,15,3,18,1,8,3,15,1,14,3,17,1,16,7,17,1,14,1,17,1,16,2,17,1,14,1,15,2,14,2,17,1,16,1,17,1,14,3,15,2,14,1,16,29,17,1,16,5,14,4,15,2,14,2,16,10,14,1,15,1,8,1,15,1,14,1,17,2,16,6,17,2,14,9,17,1,16,8,17,2,14,7,16,3,17,1,14,9,16,3,14,6,15,1,8,1,10,1,8,2,14,1,16,5,17,3,14,2,16,3,14,5,16,1,17,1,14,1,15,1,8,2,15,1,14,1,16,6,14,1,15,2,14,1,3,1,16,43,14,2,16,5,3,3,18,1,10,2,4,2,10,3,4,1,18,1,3,1,18,1,10,2,8,1,7,3,14,3,8,1,10,2,8,2,14,1,15,1,8,5,15,1,14,2,8,5,15,1,14,8,16,1,3,1,14,14,8,6,7,1,14,1,17,1,16,32,17,2,14,4,17,1,16,41,17,4,14,9,17,1,16,5,17,4,16,8,14,7,15,1,14,7,17,1,14,1,17,1,16,2,17,1,14,3,17,1,14,3,17,1,16,4,17,1,16,1,17,2,14,36,17,1,16,5,14,10,15,2,14,5,15,5,14,14,3,5,14,16,3,2,14,3,15,1,14,10,3,3,14,14,15,1,14,61,15,10,14,7,18,1,14,1,18,1,14,1,18,5,8,8,18,3,14,3,18,5,8,29,10,1,8,27,10,7,8,3,10,1,8,16,10,1,8,6,10,7,8,2,10,2,8,3,10,5,8,4,10,21,8,2,10,6,8,2,10,20,8,3,10,18,8,4,10,16,8,3,10,6,8,3,10,4,8,6,10,8,8,8,10,2,8,9,10,27,8,10,10,14,8,1,10,2,8,19,18,1,7,2,15,1,18,2,8,3,18,3,4,2,19,6,4,22,19,5,4,3,18,1,8,2,10,7,8,4,10,13,8,7,10,1,8,1,10,6,8,4,10,5,8,39,10,2,8,2,18,2,14,2,18,2,8,3,10,6,8,10,10,2,4,17,19,6,4,4,19,5,4,3,18,5,8,2,10,12,8,2,10,119,8,1,10,6,8,3,10,7,8,4,10,33,8,2,10,6,8,4,10,17,8,1,10,4,8,4,10,3,8,5,10,7,4,2,19,5,4,744,},
{4,643,19,5,4,2,10,6,8,2,10,1,8,1,18,2,10,4,8,1,18,1,8,4,10,1,8,1,18,1,15,1,8,6,14,11,15,5,14,4,15,3,14,2,7,1,8,5,7,1,14,3,15,1,8,8,10,14,8,8,10,4,8,1,18,4,8,1,9,2,8,1,15,1,14,4,16,6,17,1,14,3,17,1,14,3,15,2,14,1,17,1,16,2,14,3,15,1,8,1,15,1,14,1,16,5,17,1,16,28,14,1,8,1,9,1,8,1,15,3,14,1,16,11,14,1,15,2,14,2,17,1,14,1,17,1,16,5,17,1,14,10,16,9,14,8,17,1,16,3,14,9,16,4,14,5,8,2,10,2,8,1,14,1,16,5,17,2,16,2,14,2,17,1,16,1,17,1,14,2,15,1,14,5,15,1,8,1,15,1,14,2,16,6,14,1,15,2,14,1,16,44,14,2,17,1,16,6,3,1,18,1,8,1,10,4,8,1,10,1,4,1,18,1,3,1,18,1,10,2,8,2,7,2,14,3,8,2,10,1,8,1,15,1,14,2,15,1,8,3,15,1,14,3,8,4,15,1,14,2,3,3,14,4,16,1,3,1,14,2,15,2,14,9,15,1,8,4,15,1,14,1,17,1,16,32,17,3,14,5,16,44,17,1,14,10,17,1,16,6,17,2,16,9,14,6,15,1,8,2,15,2,14,3,17,1,16,1,17,1,16,3,14,4,17,4,16,2,17,2,14,1,17,4,14,37,16,5,14,3,15,1,14,13,15,4,14,4,15,2,14,11,3,4,14,31,3,3,14,14,15,1,14,62,15,9,14,6,15,1,18,2,14,3,18,3,8,3,18,1,8,4,18,3,14,3,18,2,8,1,18,6,8,54,10,8,8,26,10,5,8,4,10,2,8,3,10,5,8,4,10,35,8,1,10,15,8,1,10,20,8,4,10,17,8,1,10,7,8,4,10,4,8,5,10,6,8,22,10,50,8,2,10,2,8,5,10,1,8,11,15,1,14,6,18,4,14,1,18,1,4,2,19,6,4,21,19,6,4,3,10,1,8,1,10,8,8,2,10,2,8,2,10,10,8,14,10,1,8,4,10,4,8,41,10,3,8,1,18,2,14,2,18,3,8,4,10,6,8,6,10,4,4,16,19,7,4,4,19,3,4,4,18,6,8,2,10,133,8,1,10,6,8,3,10,41,8,7,10,4,8,4,10,16,8,2,10,5,8,3,10,4,8,3,10,4,8,3,10,1,18,1,4,1,19,5,4,744,},
{4,643,19,5,4,2,10,5,8,2,10,2,8,1,18,2,9,1,10,3,8,8,15,2,8,2,15,2,8,2,15,1,14,11,15,5,14,3,8,2,15,2,14,2,7,1,8,3,7,1,14,4,7,1,8,8,10,14,8,1,18,3,8,2,18,2,8,2,10,2,9,1,8,4,9,3,8,1,15,1,14,5,16,4,17,1,14,7,15,3,14,1,16,3,14,1,15,4,14,2,16,5,17,2,16,25,17,1,14,1,8,1,10,1,9,1,8,1,14,2,17,1,16,8,17,2,16,2,14,3,17,2,14,3,16,4,17,1,14,5,16,2,17,1,14,1,17,1,16,5,17,1,14,2,17,1,14,2,15,2,14,5,16,4,14,5,17,2,14,2,16,4,14,4,15,1,8,1,10,3,15,1,16,6,17,1,16,3,17,1,14,5,15,3,14,8,16,7,14,1,15,2,14,1,16,44,15,1,7,1,14,1,16,6,3,1,18,1,8,2,10,3,8,2,4,1,18,1,3,1,18,1,10,3,8,2,7,1,14,3,8,2,10,1,8,1,15,1,14,4,15,2,14,3,15,1,8,4,15,1,14,2,3,2,14,5,16,1,3,1,14,1,15,2,14,10,15,1,8,3,14,2,16,33,17,1,14,2,17,2,14,4,16,44,17,1,14,10,17,1,16,16,17,1,14,5,15,1,8,5,14,3,16,4,17,1,14,3,7,1,14,1,17,1,16,4,17,2,14,3,17,5,14,35,17,1,16,3,3,1,14,2,15,1,14,15,15,2,14,5,15,3,14,38,17,1,14,6,3,3,14,65,15,3,14,15,15,2,14,5,15,2,18,3,14,3,18,2,8,3,18,4,8,2,18,3,14,2,18,1,8,5,18,5,8,41,10,3,8,10,10,7,8,3,10,5,8,27,10,2,8,3,10,5,8,4,10,35,8,1,10,32,8,1,10,3,8,4,10,25,8,4,10,4,8,5,10,4,8,25,10,48,8,3,10,2,8,3,10,3,8,10,15,1,14,8,18,3,3,1,18,2,4,1,19,6,4,20,19,6,4,3,18,1,10,1,8,1,10,12,8,2,10,9,8,20,10,4,8,7,10,3,8,31,10,2,8,3,18,6,8,5,10,2,18,1,10,5,8,2,10,6,4,15,19,6,4,10,18,2,3,1,18,5,8,3,10,183,8,10,10,1,8,3,10,16,8,3,10,18,8,2,18,2,8,1,18,1,4,2,19,4,4,744,},
{4,643,19,6,4,1,10,5,8,1,10,4,8,1,18,1,8,1,10,3,9,1,8,2,10,1,8,4,15,2,18,1,8,1,15,2,8,2,15,5,14,7,15,6,14,1,18,1,8,3,15,1,14,4,7,2,14,6,15,1,8,4,15,1,8,2,10,14,8,1,18,3,8,2,18,2,8,2,10,2,9,1,8,4,9,2,8,1,15,1,14,6,17,2,16,1,17,1,14,7,15,3,14,2,16,3,14,1,15,3,14,1,17,1,16,6,17,1,14,1,16,24,14,1,15,1,8,1,9,2,15,1,14,1,16,11,14,2,16,7,14,3,16,4,14,5,16,10,17,1,14,6,15,2,14,3,17,2,16,3,17,1,14,5,16,2,17,2,16,3,17,1,14,4,15,1,10,3,8,1,17,1,16,5,17,2,16,4,14,5,15,1,8,1,15,2,14,5,16,8,3,1,14,1,15,1,14,2,16,44,15,2,14,1,16,6,3,1,18,1,8,2,10,3,8,1,10,1,4,1,18,1,3,1,18,1,10,3,8,2,7,1,14,3,8,1,10,3,8,1,14,4,15,2,14,3,15,1,8,3,15,1,14,9,3,2,14,2,15,2,14,11,8,2,15,1,14,1,17,1,16,6,17,1,16,17,17,1,16,6,17,1,14,4,17,5,16,45,17,1,14,11,16,16,17,1,14,5,15,1,8,5,14,2,17,1,16,4,14,4,7,1,14,1,17,1,16,4,17,1,14,4,17,3,14,1,17,1,14,26,17,1,14,9,17,2,14,17,3,1,14,9,15,3,14,38,17,2,14,6,3,2,14,65,15,3,14,22,15,2,18,9,8,2,18,11,8,3,10,1,8,40,10,1,8,7,10,1,8,13,10,6,8,3,10,8,8,24,10,3,8,1,10,6,8,4,10,64,8,1,10,37,8,2,10,5,8,5,10,1,8,1,10,2,8,28,10,45,8,3,10,9,8,8,18,1,14,2,18,3,14,2,3,1,14,2,18,5,4,2,19,5,4,19,19,7,4,2,18,2,8,1,10,13,8,3,10,7,8,21,10,5,8,6,10,4,8,12,10,1,8,17,10,1,8,4,18,5,8,6,18,5,10,10,18,1,4,11,19,1,4,2,19,6,4,8,18,12,8,2,10,87,8,1,10,32,8,1,10,7,8,3,10,13,8,2,10,39,8,9,10,18,8,3,10,19,8,5,18,1,4,2,19,4,4,744,},
{4,643,19,6,4,1,10,10,8,1,18,2,8,1,9,1,10,7,8,2,15,2,18,1,8,1,15,1,8,3,15,2,8,2,15,1,14,8,15,6,8,4,15,1,14,8,17,1,14,3,7,1,15,1,8,2,15,2,8,2,10,14,8,1,18,2,8,4,18,2,8,1,10,3,9,1,8,3,9,2,15,2,14,8,17,1,14,2,17,1,14,4,15,4,14,1,16,4,14,1,15,1,14,2,16,9,17,1,14,1,16,22,14,1,8,1,9,2,15,1,14,1,16,12,17,1,15,1,14,1,16,7,14,2,17,1,16,4,14,1,15,2,14,1,17,1,16,9,14,8,15,1,14,2,16,8,14,5,16,7,17,1,14,4,8,2,10,1,8,1,14,1,16,6,14,1,17,1,16,5,17,1,14,1,17,1,14,2,15,4,14,2,16,10,14,1,15,2,14,1,3,1,16,44,14,2,17,1,16,6,3,1,18,1,10,1,8,3,10,1,8,1,10,1,4,1,18,1,3,2,8,1,10,2,8,2,7,1,14,3,8,1,10,3,8,1,15,1,14,2,15,1,8,1,15,1,14,2,15,1,8,4,15,1,14,4,15,2,14,3,3,2,14,2,15,1,14,3,3,1,14,2,15,3,14,3,15,2,14,2,17,1,16,5,17,2,16,16,14,2,17,1,16,5,17,1,14,6,17,2,16,46,17,1,14,12,16,12,17,2,16,1,17,1,14,5,15,1,8,5,14,5,17,1,14,7,17,1,16,4,17,2,14,2,17,4,14,27,17,1,14,22,3,1,17,1,14,4,3,1,17,1,14,9,15,5,14,37,3,2,14,5,3,2,14,66,15,2,14,22,15,2,18,21,8,45,10,1,8,6,10,1,8,1,10,2,8,12,10,5,8,3,10,8,8,6,10,1,8,17,10,77,8,3,10,28,8,1,10,1,8,8,10,4,8,29,10,1,8,8,10,36,8,2,10,7,8,4,10,7,8,9,18,1,7,1,15,1,8,3,18,1,14,1,3,1,14,2,18,3,3,2,18,1,4,2,19,4,4,16,19,9,4,3,10,1,8,1,10,8,8,2,10,3,8,6,10,4,8,21,10,6,8,6,10,5,8,11,10,2,8,12,10,2,8,19,18,5,10,12,4,8,19,9,4,7,18,9,8,8,10,3,8,1,10,17,8,2,10,62,8,2,10,17,8,1,10,12,8,5,10,4,8,4,10,55,8,8,10,18,8,2,10,20,8,3,10,2,18,1,4,3,19,2,4,745,},
{4,643,19,6,4,1,10,9,8,2,18,2,8,2,10,7,8,2,18,2,8,2,15,1,8,4,15,1,8,2,15,1,14,8,15,4,14,1,15,1,8,4,15,1,14,7,17,2,14,3,7,1,15,5,8,1,10,15,8,1,18,2,8,4,18,2,8,1,10,3,9,1,8,1,18,1,9,1,8,1,9,1,15,1,14,12,17,2,14,8,16,4,14,2,17,1,16,11,17,1,16,21,14,1,9,1,10,2,15,1,16,14,14,1,15,2,16,7,17,2,16,4,14,1,15,3,14,1,16,8,17,1,14,2,15,3,14,6,17,1,16,8,17,1,14,4,16,7,17,2,14,3,15,1,8,2,14,1,16,7,14,1,16,9,14,7,16,10,14,1,15,3,14,1,16,45,17,1,16,8,3,2,10,1,8,3,10,4,18,1,3,2,18,1,8,5,14,3,8,2,10,2,8,2,15,2,8,2,15,1,14,3,15,8,8,2,15,2,14,1,3,2,14,3,15,1,14,2,3,2,14,2,8,3,15,1,14,7,17,1,16,10,17,2,16,10,14,3,16,6,14,8,16,15,17,1,16,30,17,1,14,8,15,3,14,1,16,11,17,1,14,1,17,2,16,1,17,1,14,4,15,1,8,1,15,2,14,1,15,1,14,7,15,2,14,2,17,2,14,2,17,1,16,8,17,2,14,48,3,1,16,2,17,1,14,5,3,1,14,9,15,2,8,1,15,4,14,36,3,1,14,4,3,3,14,90,15,3,14,2,15,4,14,2,15,2,18,4,14,1,18,2,8,2,18,6,8,64,10,4,8,3,10,7,8,26,10,6,8,3,10,5,8,4,10,10,8,4,10,15,8,1,10,28,8,3,10,29,8,7,10,4,8,2,10,2,8,27,10,10,8,1,10,33,8,3,10,6,8,5,10,6,8,11,15,1,18,1,8,4,14,4,18,3,3,2,18,1,4,2,19,6,4,12,19,9,4,5,10,1,8,2,10,6,8,4,10,2,8,7,10,3,8,15,10,4,8,2,10,6,8,5,10,4,8,12,10,3,8,11,10,4,8,2,18,1,8,15,18,4,8,1,10,6,8,4,10,2,4,8,19,6,4,6,18,4,8,1,10,1,8,2,18,2,8,3,10,3,8,5,10,3,8,2,10,15,8,3,10,63,8,1,10,16,8,2,10,12,8,6,10,4,8,1,10,57,8,7,10,41,8,3,10,2,18,2,4,749,},
{4,643,19,6,4,2,10,9,8,1,18,1,15,2,8,2,10,7,8,1,18,2,8,2,15,2,8,6,15,1,14,5,17,1,14,3,15,2,14,2,15,1,8,3,15,1,14,9,17,1,14,3,7,1,15,5,8,1,10,14,8,8,18,2,8,1,10,4,9,1,18,3,9,1,18,1,15,1,14,8,17,1,14,2,17,2,14,8,16,39,14,1,9,1,10,2,8,1,16,10,17,2,16,3,14,1,15,1,14,1,16,12,17,1,14,1,15,2,14,2,16,2,14,2,16,3,14,3,15,3,14,6,17,1,16,9,14,5,16,6,14,2,17,2,14,2,15,2,14,1,16,8,17,1,16,10,17,5,16,11,14,1,8,2,14,2,16,41,14,2,17,1,16,10,3,2,18,1,8,4,10,2,8,1,10,1,18,1,3,1,14,2,8,3,7,1,14,3,8,3,10,1,8,6,15,1,14,3,15,6,8,5,15,1,14,1,3,2,14,1,15,4,14,4,18,1,8,4,15,1,14,9,17,1,16,6,17,1,14,2,17,1,16,9,14,3,16,6,17,2,14,6,17,1,16,13,17,3,16,29,17,1,14,8,15,3,14,2,16,9,17,1,14,3,17,1,16,1,17,2,14,3,15,1,8,1,15,1,14,3,15,2,8,6,15,1,14,1,17,1,16,2,14,2,17,3,16,6,17,2,14,2,17,2,14,14,3,1,14,29,3,1,16,3,14,16,15,2,8,4,15,2,14,25,3,2,14,7,3,2,14,3,3,3,14,96,15,3,14,4,18,1,8,1,18,2,14,2,18,6,14,3,18,2,8,26,18,2,8,36,10,2,8,3,10,8,8,20,10,4,8,2,10,4,8,5,10,3,8,5,10,10,8,4,10,14,8,3,10,17,8,5,10,4,8,14,10,19,8,7,10,4,8,2,10,2,8,30,10,41,8,5,10,4,8,5,10,4,8,19,18,1,14,2,18,3,14,1,3,3,18,1,4,1,19,6,4,12,19,8,4,5,10,1,8,2,10,6,8,31,10,13,8,5,10,4,8,26,10,4,8,2,18,2,8,7,18,1,8,8,18,2,8,2,10,4,8,6,10,1,4,8,19,6,4,3,18,6,8,2,10,2,8,5,10,6,8,2,10,3,8,3,10,15,8,2,10,40,8,4,10,37,8,2,10,11,8,7,10,31,8,2,10,68,8,2,10,6,8,3,10,4,18,1,4,749,},
{4,644,19,5,4,2,10,9,8,1,18,3,8,2,10,6,8,2,18,2,8,2,15,2,8,6,15,1,14,5,17,1,14,2,15,3,14,1,15,1,18,1,8,3,14,5,7,3,14,6,15,1,8,6,10,13,8,9,18,3,8,1,10,3,8,1,18,3,9,1,8,2,15,1,8,2,15,1,14,3,17,1,16,1,14,2,17,4,14,1,17,1,16,2,14,2,16,10,17,2,16,25,14,2,8,1,10,2,8,1,17,1,16,15,14,3,16,11,14,6,16,3,14,8,15,2,14,2,17,2,14,3,16,9,14,6,16,5,17,1,14,2,17,1,14,3,15,1,14,2,16,7,17,1,16,26,14,1,15,1,8,2,14,1,16,42,14,2,16,11,3,2,18,1,10,1,8,5,18,1,8,2,14,1,3,1,14,1,7,1,8,1,7,2,14,1,3,1,14,1,8,3,10,1,8,6,15,1,14,6,15,3,8,4,15,1,14,5,15,1,8,2,18,1,15,1,14,2,15,1,8,2,10,1,8,3,15,2,14,8,16,6,17,1,14,2,6,1,16,10,17,1,14,1,17,1,16,9,14,5,16,13,17,3,16,29,14,10,15,3,14,1,16,5,17,2,16,1,17,1,14,5,17,1,16,1,14,3,15,1,8,3,14,3,8,2,10,4,8,2,15,1,14,2,16,2,17,1,14,1,17,2,16,6,17,7,14,13,3,1,17,1,14,23,3,1,14,5,3,1,16,3,14,17,15,1,8,6,15,1,14,24,3,3,14,6,3,1,14,4,3,3,14,59,3,1,14,36,15,3,14,4,18,1,8,2,18,2,14,3,18,3,14,4,18,2,8,26,18,3,8,35,10,3,8,2,10,6,8,23,10,3,8,2,10,4,8,1,18,2,8,2,10,3,8,7,10,5,8,9,10,3,8,4,10,4,8,7,10,13,8,26,10,17,8,7,10,3,8,3,10,4,8,19,10,1,8,9,10,40,8,5,10,4,8,4,10,6,8,19,18,1,8,1,18,3,3,4,18,1,4,1,19,7,4,10,19,8,4,2,10,5,8,2,10,6,8,32,10,12,8,6,10,2,8,29,10,2,8,2,18,2,8,5,18,4,8,3,10,3,8,5,10,3,8,6,18,4,10,1,4,5,19,5,4,2,18,8,8,2,10,3,8,4,10,9,8,5,10,13,8,4,10,9,8,2,10,29,8,4,10,49,8,8,10,31,8,3,10,66,8,3,10,6,8,3,10,4,18,1,4,749,},
{4,644,19,6,4,2,10,1,8,2,10,5,8,2,18,1,15,1,8,2,10,6,8,1,15,2,18,2,15,5,8,4,15,1,14,1,15,1,14,3,17,1,14,2,15,5,8,4,14,4,7,1,8,3,7,1,14,4,7,1,15,1,8,6,10,18,8,5,18,2,8,1,10,2,9,1,18,5,8,3,10,2,8,1,14,2,17,1,16,2,14,2,17,1,16,1,17,2,16,5,17,1,14,2,16,8,17,1,16,25,17,1,15,1,8,3,15,1,16,17,17,1,14,1,17,1,16,9,17,1,14,5,17,1,16,3,14,12,16,3,17,1,14,1,16,2,17,1,16,6,14,7,16,5,14,5,15,3,14,1,16,6,14,2,17,1,16,26,14,1,8,1,9,1,8,1,14,1,16,42,15,1,14,1,16,12,3,1,18,1,10,1,8,4,18,2,9,1,10,1,14,1,3,1,17,1,14,1,7,2,14,1,17,1,3,1,14,1,8,2,10,3,8,2,15,2,8,2,15,2,14,4,15,5,8,2,15,1,14,4,15,1,8,9,10,4,8,5,15,3,14,4,17,4,14,4,17,1,16,11,17,2,16,9,14,5,16,2,17,2,16,9,17,2,16,29,17,2,14,10,15,1,14,9,17,2,14,5,17,2,14,3,8,2,10,1,8,2,15,2,8,1,10,6,8,1,15,2,14,1,17,1,16,1,17,3,16,6,17,1,14,2,17,5,14,13,3,2,14,23,3,1,14,5,3,1,16,2,17,1,14,18,15,1,8,6,15,1,14,24,3,1,14,7,3,1,14,5,3,2,14,54,15,2,14,3,3,2,14,36,15,1,14,5,15,1,8,2,18,2,14,4,18,3,14,2,18,2,8,27,18,3,8,9,10,2,8,5,10,6,8,13,10,4,8,1,10,4,8,26,10,1,8,3,10,4,8,1,18,2,8,2,10,3,8,7,10,7,8,7,10,3,8,4,10,3,8,8,10,13,8,29,10,14,8,7,10,3,8,3,10,4,8,3,10,18,8,9,10,48,8,4,10,6,8,22,18,1,14,1,3,4,18,1,4,2,19,10,4,5,19,9,4,1,10,5,8,3,10,5,8,34,10,12,8,36,10,2,8,10,18,3,8,4,10,3,8,11,10,1,8,1,18,4,10,2,4,4,19,3,4,4,18,1,8,9,10,2,8,5,10,9,8,6,10,12,8,3,10,10,8,2,10,82,8,2,10,2,8,4,10,55,8,4,10,41,8,3,10,6,8,3,10,4,4,750,},
{4,644,19,6,4,2,18,2,8,2,10,5,8,1,18,1,15,1,8,2,10,6,8,1,15,9,8,4,15,1,14,1,15,1,14,3,17,1,14,2,15,1,8,2,15,2,8,4,14,4,7,1,8,3,15,1,14,4,7,1,15,1,8,6,10,19,8,6,9,1,10,1,9,1,18,2,3,2,14,1,18,3,8,1,10,2,8,1,14,2,16,3,14,3,17,3,16,5,14,3,16,33,17,1,7,1,8,2,15,1,14,1,16,30,14,5,17,1,16,4,14,5,15,1,14,2,16,1,14,2,17,1,16,4,17,3,14,1,17,1,16,4,14,2,15,1,14,5,16,4,17,1,14,1,17,1,14,2,15,1,8,2,14,2,16,5,17,1,14,2,16,27,14,1,8,2,15,1,14,1,16,42,7,1,14,1,16,6,17,2,16,5,3,1,8,1,10,1,8,1,18,4,10,1,8,1,14,2,17,1,6,3,17,1,16,1,3,1,18,1,8,1,10,4,8,3,15,1,8,4,15,1,14,3,15,3,14,2,15,4,14,1,15,2,8,8,10,10,8,3,15,2,14,10,17,1,16,13,17,1,16,9,14,5,16,2,17,2,16,9,17,2,16,28,17,4,14,19,17,3,14,8,15,1,8,1,10,3,8,3,10,7,8,3,14,2,17,1,16,8,17,1,14,3,17,1,16,1,17,2,14,14,3,2,14,30,16,2,17,1,14,19,15,1,8,6,15,2,14,27,3,3,14,6,3,2,14,53,15,3,14,3,3,1,14,43,15,2,18,2,15,1,14,3,18,6,8,29,18,3,8,9,10,3,8,3,10,7,8,13,10,4,8,1,10,4,8,30,10,4,8,5,10,3,8,3,10,4,8,1,10,7,8,6,10,3,8,4,10,3,8,10,10,3,8,4,10,4,8,29,10,14,8,7,10,3,8,4,10,3,8,2,10,20,8,9,10,48,8,2,10,8,8,21,18,1,14,1,3,4,18,1,4,2,19,11,4,3,19,8,4,3,10,6,8,2,10,5,8,36,10,11,8,35,10,2,8,19,10,1,8,13,18,3,8,2,10,1,4,11,10,1,8,17,10,8,8,6,10,29,8,1,10,79,8,2,10,16,8,1,10,44,8,4,10,20,8,2,10,20,8,1,10,8,8,2,10,4,4,750,},
{4,644,19,6,4,2,18,2,8,1,10,6,8,1,15,3,8,2,10,5,8,1,14,2,15,7,8,3,15,2,14,5,17,2,14,1,15,1,8,2,15,2,8,4,15,1,14,3,7,1,8,3,15,1,14,4,7,1,8,5,10,2,8,2,10,17,8,3,10,1,8,1,10,3,9,1,18,1,14,1,3,2,14,1,18,2,15,1,8,1,10,2,8,1,14,2,16,2,17,1,14,2,17,2,14,3,16,4,14,3,16,33,14,1,8,2,15,1,16,31,17,1,14,5,16,5,14,3,15,3,14,1,16,11,17,1,14,1,17,1,16,3,14,2,15,2,14,2,16,3,17,2,16,1,17,1,14,1,17,1,16,1,17,1,14,1,8,1,10,1,8,1,14,1,16,5,17,1,14,3,17,1,16,7,14,2,16,9,14,2,17,1,16,5,14,1,15,1,8,1,15,1,14,1,16,42,14,2,16,6,7,2,16,5,3,1,18,1,10,2,18,2,10,2,8,1,14,1,3,1,14,1,17,5,16,1,14,1,8,1,10,6,8,5,10,1,8,1,15,1,14,3,15,3,14,2,15,1,18,1,8,1,15,2,8,9,10,13,8,2,15,1,14,10,16,19,14,4,16,1,14,5,16,2,17,2,16,43,17,1,14,12,15,3,14,2,17,3,16,2,17,1,14,7,8,1,10,14,8,2,15,1,14,2,16,8,14,4,17,1,16,2,14,14,3,1,14,33,3,1,14,22,15,1,8,5,15,3,14,12,3,1,14,11,3,3,14,9,3,3,14,49,15,3,14,48,15,8,18,4,8,10,10,3,8,17,18,4,8,9,10,2,8,6,10,3,8,1,10,1,8,13,10,4,8,35,10,4,8,5,10,3,8,2,10,16,8,3,10,4,8,2,10,5,8,9,10,1,8,7,10,4,8,8,10,2,8,18,10,14,8,6,10,4,8,4,10,3,8,2,10,21,8,10,10,56,8,7,18,2,8,11,18,1,14,1,3,4,18,3,4,3,19,9,4,2,19,7,4,4,10,6,8,1,10,7,8,37,10,10,8,32,10,5,8,20,10,1,8,13,18,2,8,3,10,1,4,8,18,1,10,1,8,1,10,1,8,16,10,7,8,5,10,31,8,1,10,4,8,3,10,72,8,2,10,59,8,5,10,20,8,3,10,15,8,3,10,11,8,2,10,4,18,1,4,749,},
{4,644,19,7,4,3,10,7,8,1,15,1,14,2,15,1,8,3,10,3,18,1,14,2,15,7,8,3,15,2,14,5,16,1,17,1,14,1,15,1,8,2,15,2,8,5,15,1,14,3,7,1,15,2,7,1,14,4,7,1,15,1,8,1,15,1,8,2,10,2,8,3,10,16,8,3,10,5,9,1,18,2,14,1,18,3,15,1,14,1,15,1,10,2,8,1,14,2,16,2,14,3,17,2,14,4,16,2,17,1,14,3,16,2,17,2,16,29,15,1,10,1,8,1,14,1,16,31,17,3,16,1,17,2,16,4,17,1,14,3,15,3,14,1,16,5,14,1,16,6,17,2,16,2,17,1,14,1,15,2,14,2,16,4,14,5,17,1,16,1,17,1,15,1,10,2,9,1,14,1,16,6,14,4,17,1,14,1,16,4,17,1,14,2,16,9,14,1,15,1,14,1,16,6,14,1,8,1,15,1,14,1,16,41,17,1,14,1,17,1,16,5,17,1,8,2,17,1,16,5,18,3,10,3,18,1,3,2,16,1,17,3,16,1,17,3,14,1,8,1,10,7,8,4,10,1,8,1,15,1,14,3,15,3,14,1,15,2,8,3,15,1,8,10,10,3,8,3,10,7,8,1,15,1,14,7,15,1,14,2,16,18,17,1,14,1,15,1,14,8,17,4,16,44,14,4,15,4,14,9,16,1,17,1,16,4,17,1,14,6,15,1,8,1,10,14,8,1,14,3,17,3,16,5,14,4,17,1,16,1,17,1,14,10,3,4,14,47,15,1,14,10,15,2,8,5,15,1,14,11,3,3,14,11,3,2,14,5,3,1,14,3,3,4,14,44,15,6,14,54,15,1,18,2,15,1,14,2,18,8,8,3,10,3,8,17,18,3,8,3,10,1,8,32,10,3,8,18,10,3,8,11,10,9,8,4,10,13,8,1,10,7,8,2,10,13,8,7,10,13,8,7,10,5,8,11,10,18,8,3,18,1,8,3,10,4,8,3,10,4,8,2,10,27,8,5,10,54,8,7,18,4,8,10,18,1,14,1,3,4,18,4,4,3,19,8,4,2,19,7,4,2,18,2,8,2,10,11,8,4,18,2,8,31,10,1,8,1,10,4,8,1,10,5,8,12,10,4,8,14,10,7,8,4,18,1,8,14,10,2,8,17,10,3,18,6,10,1,8,17,10,9,8,4,10,19,8,6,10,12,8,4,10,71,8,3,10,30,8,4,10,22,8,6,10,21,8,2,10,15,8,5,10,10,8,2,10,4,18,2,4,748,},
{4,644,19,7,4,3,10,7,8,1,15,1,14,2,15,2,8,3,10,2,8,1,18,1,15,2,18,1,15,5,8,3,15,1,14,5,17,1,16,1,17,1,14,1,15,1,8,2,15,2,8,6,15,2,7,4,14,5,7,1,15,1,8,1,15,1,8,2,10,2,8,2,10,17,8,3,10,1,8,1,10,3,18,8,15,1,8,1,10,2,8,1,14,1,17,1,16,1,17,1,14,10,16,2,14,3,16,2,14,3,16,27,14,1,15,1,8,1,15,1,16,14,17,1,16,14,17,2,14,1,17,1,16,9,14,6,17,1,16,5,14,5,16,6,17,1,14,2,15,1,14,1,17,1,16,5,14,5,17,1,16,1,14,1,8,1,10,2,8,1,14,1,16,6,14,7,16,3,14,3,16,8,14,1,15,1,8,1,14,1,16,6,14,1,15,1,14,2,16,39,17,2,6,1,17,1,16,6,14,1,8,2,14,1,16,5,18,1,10,3,8,1,18,1,3,2,16,3,17,2,16,2,17,1,14,2,8,1,10,1,8,4,10,2,8,4,10,1,8,1,14,3,15,1,8,3,15,2,8,14,10,5,8,2,10,7,8,1,15,1,14,2,3,2,14,6,16,18,14,1,15,1,8,1,15,1,14,6,3,1,14,1,17,3,16,44,14,5,15,3,14,4,15,3,14,2,17,1,14,1,17,1,16,3,17,1,14,6,15,1,8,1,10,6,8,4,10,4,8,1,15,1,14,2,17,5,16,2,17,1,14,4,17,1,16,1,17,1,14,10,3,1,16,2,3,1,14,60,15,7,14,12,3,1,14,21,3,5,14,44,15,2,18,1,8,1,18,1,15,1,14,32,15,1,14,21,15,1,18,3,14,3,18,4,14,1,18,3,8,2,10,4,8,17,18,2,8,29,10,1,8,8,10,2,8,17,10,4,8,10,10,12,8,4,10,18,8,2,10,5,8,1,10,7,8,6,10,9,8,1,10,4,8,7,10,6,8,10,10,19,8,7,10,3,8,3,10,4,8,1,10,28,8,5,10,54,8,6,18,5,8,10,18,1,14,2,3,2,18,6,4,2,19,8,4,2,19,6,4,2,18,1,8,4,10,11,8,9,10,2,8,26,10,3,8,5,10,2,8,32,10,7,8,4,18,1,8,37,18,2,8,1,18,1,10,2,8,16,10,11,8,3,10,20,8,5,10,12,8,3,10,82,8,3,10,19,8,5,10,18,8,9,10,21,8,2,10,7,8,1,10,8,8,6,10,3,8,1,10,11,18,2,4,748,},
{4,646,19,5,4,3,10,7,8,2,15,6,8,1,10,3,8,6,15,1,14,1,15,1,8,3,15,1,14,4,17,1,16,2,17,1,14,1,8,3,15,1,14,1,15,1,8,3,15,3,8,3,7,1,14,6,7,1,8,7,10,21,8,4,9,2,18,2,9,4,18,2,8,1,10,3,15,1,14,1,16,2,14,4,15,4,14,4,16,2,17,1,14,1,16,1,17,1,14,3,16,16,17,1,14,2,16,8,14,2,15,1,17,1,16,12,17,1,14,3,16,2,14,2,16,9,14,4,16,8,14,4,17,1,14,1,16,6,14,6,16,7,14,1,15,2,14,1,16,5,14,3,16,2,14,2,16,1,14,1,8,1,10,2,15,1,16,7,17,1,14,6,17,2,14,4,17,1,16,7,14,1,15,1,8,1,15,1,14,1,16,5,14,3,16,40,17,1,14,2,17,1,16,6,14,1,7,1,8,1,14,2,16,4,3,1,18,3,14,1,3,5,17,4,16,2,14,2,18,1,8,12,18,1,14,3,8,1,10,2,8,2,18,2,8,12,10,2,8,2,10,11,8,1,15,1,14,2,3,3,14,5,16,17,3,1,14,1,15,1,8,2,15,1,14,3,3,1,16,4,17,2,16,44,14,10,15,1,8,4,15,1,14,7,3,1,14,1,3,1,14,4,18,1,8,1,10,6,8,1,15,2,8,1,10,5,8,1,14,1,17,1,16,2,17,1,14,9,17,1,16,2,14,10,3,1,16,2,3,1,14,65,15,3,14,3,3,2,14,7,3,4,14,16,3,3,14,49,15,5,14,30,15,2,14,7,15,1,14,10,15,3,18,1,8,2,18,3,14,7,18,2,8,2,10,5,8,9,10,2,8,35,10,4,8,6,10,8,8,24,10,11,8,10,10,7,8,3,10,3,8,3,10,5,8,4,10,5,8,3,10,6,8,17,10,6,8,16,10,5,8,1,10,8,8,8,10,4,8,1,10,21,8,3,10,9,8,5,10,54,8,5,18,4,8,8,10,3,8,2,18,1,14,2,18,6,4,4,19,6,4,2,19,4,4,4,10,1,8,2,10,14,8,6,10,9,8,22,10,2,8,6,10,1,8,35,10,3,8,34,10,1,8,12,10,1,8,17,10,11,8,5,10,19,8,5,10,9,8,4,10,92,8,1,10,13,8,3,10,17,8,12,10,18,8,5,10,4,8,3,10,10,8,8,10,10,8,2,18,1,4,1,19,5,4,742,},
{4,647,19,5,4,2,10,7,8,2,15,6,8,1,10,4,8,5,15,1,14,1,15,2,8,2,15,1,14,4,17,1,16,2,14,2,8,3,15,1,14,1,15,1,8,3,14,2,8,4,7,1,14,6,7,1,15,1,8,6,10,22,8,1,18,2,9,2,18,2,10,4,9,3,10,3,15,1,14,1,16,1,14,4,15,4,14,4,16,7,17,1,14,2,16,16,14,1,15,1,14,1,16,8,14,3,16,11,3,1,14,1,15,3,14,2,17,1,14,2,16,7,17,1,14,2,15,1,14,2,16,7,14,4,17,1,16,7,14,7,16,6,14,2,15,1,14,1,16,6,14,3,16,2,14,4,8,1,9,1,8,1,14,1,16,3,14,3,16,1,17,1,14,13,16,7,14,1,15,3,14,1,16,5,14,2,17,1,16,39,17,1,6,1,7,2,17,1,16,6,14,1,7,2,15,1,14,3,16,2,3,1,14,1,3,4,14,4,17,4,16,1,17,1,14,2,15,1,8,11,18,1,15,1,14,2,15,1,8,1,10,3,8,11,10,2,8,1,10,3,8,2,10,11,8,2,15,2,14,12,3,1,16,5,17,1,14,1,3,1,16,4,14,3,15,2,14,3,16,4,3,1,14,2,17,1,16,39,17,2,16,2,17,1,14,9,15,1,8,1,10,3,8,2,15,1,14,7,3,2,14,3,15,1,18,1,8,2,10,4,8,2,15,1,14,1,15,1,10,5,8,1,14,1,17,1,16,1,17,1,14,10,17,1,16,2,17,1,14,10,17,1,3,2,14,31,3,1,14,34,15,3,14,2,3,2,14,7,3,10,14,9,3,4,14,50,15,4,14,30,15,3,14,5,15,2,14,9,15,2,18,2,8,4,18,3,14,6,18,2,8,16,10,2,8,33,10,1,8,1,10,5,8,6,10,8,8,22,10,2,8,21,10,6,8,10,10,3,8,6,10,13,8,17,10,2,8,20,10,2,8,4,10,13,8,3,10,4,8,3,10,20,8,2,10,10,8,4,10,14,8,2,10,37,8,7,18,2,8,4,18,2,8,3,10,5,8,1,18,9,4,7,19,2,4,3,19,2,4,4,10,34,8,21,10,2,8,6,10,1,8,71,10,3,8,10,10,2,8,17,10,11,8,5,10,19,8,5,10,10,8,2,10,92,8,3,10,13,8,2,10,16,8,7,10,4,8,2,10,8,8,2,10,7,8,6,10,4,8,3,10,12,8,6,10,7,8,3,10,2,4,2,19,5,4,742,},
{4,648,19,4,4,4,10,5,8,1,15,1,14,1,15,2,8,4,10,4,8,2,18,1,15,3,14,1,15,3,8,1,15,1,14,1,17,1,14,3,17,2,14,3,15,2,14,2,15,1,8,3,15,3,8,3,7,1,14,7,15,1,8,6,10,22,8,3,9,2,4,6,10,1,9,3,10,1,8,1,14,2,17,1,14,2,15,3,14,3,16,12,17,1,14,1,16,15,14,3,17,1,16,8,14,2,17,1,16,10,3,1,14,1,15,1,9,2,15,1,14,2,16,1,14,3,17,1,16,5,14,2,15,3,14,1,17,1,16,2,17,1,16,3,14,5,16,7,14,6,16,7,14,1,15,2,14,1,16,6,14,3,16,2,14,3,15,1,8,2,15,1,14,1,16,3,14,15,15,1,14,2,16,6,14,3,15,1,14,2,16,5,14,2,16,40,17,1,7,3,17,1,16,5,17,1,14,1,7,2,15,1,14,3,16,1,3,5,14,1,18,1,8,3,14,1,17,1,16,1,17,3,14,3,18,1,8,2,10,3,8,4,15,1,14,5,15,1,8,1,10,3,8,3,10,3,8,1,10,10,8,2,10,11,8,5,15,3,14,3,15,3,14,3,16,2,3,1,14,2,15,1,14,2,16,4,14,7,16,3,3,1,14,3,17,1,16,40,17,3,16,1,14,10,15,1,8,1,10,4,8,2,15,1,14,11,15,1,18,1,8,3,10,3,8,2,18,1,15,1,8,1,10,5,8,1,14,4,7,2,15,1,7,1,14,5,17,2,16,2,17,1,14,44,3,2,14,32,15,4,14,13,3,7,14,11,3,3,14,23,3,1,14,11,15,3,14,12,15,3,14,31,15,3,14,3,15,3,14,11,15,2,8,5,18,4,14,1,18,1,14,2,18,3,8,51,10,1,8,1,10,5,8,5,10,9,8,45,10,6,8,5,10,1,8,6,10,3,8,3,10,2,8,3,10,11,8,11,10,2,8,24,10,3,8,3,10,13,8,3,10,3,8,5,10,31,8,4,10,53,8,11,18,2,14,2,18,1,8,2,10,5,8,2,18,11,4,13,18,1,10,35,8,20,10,3,8,79,10,2,8,10,10,3,8,16,10,11,8,5,10,14,8,1,10,4,8,5,10,104,8,3,10,13,8,2,10,14,8,8,10,4,8,3,10,7,8,4,10,6,8,9,10,16,8,5,10,7,8,3,10,3,4,2,19,5,4,742,},
{4,648,19,5,4,3,10,5,8,1,14,3,15,1,8,10,15,1,14,2,15,5,8,1,15,1,14,1,17,2,14,11,8,3,15,4,7,4,14,7,7,1,15,2,8,3,10,28,4,6,10,1,9,2,8,1,10,1,8,1,14,4,15,3,14,2,17,1,16,22,14,3,17,1,16,4,14,1,17,1,16,9,17,1,15,1,14,1,16,10,14,2,15,1,8,1,10,1,8,1,14,1,16,5,14,2,16,5,14,1,15,1,8,1,15,1,14,2,17,2,14,3,16,1,17,1,14,5,16,6,14,8,17,3,14,4,15,2,16,6,14,1,15,1,14,2,16,2,14,3,15,1,8,1,15,1,14,1,16,4,14,2,15,1,14,8,16,1,14,2,15,1,8,1,15,1,14,1,16,5,17,1,14,5,17,1,16,4,14,3,16,40,6,1,7,2,6,1,16,6,14,1,7,1,15,2,14,4,3,6,14,1,18,1,10,2,8,1,14,2,16,1,17,1,6,1,14,4,18,1,8,1,10,5,8,2,15,1,14,4,15,1,18,2,8,2,10,1,8,3,10,12,8,1,10,1,8,3,10,9,8,3,10,4,8,3,15,3,8,2,15,2,14,2,3,1,14,2,15,1,8,2,15,1,14,1,16,3,14,6,16,4,3,1,14,5,16,34,17,1,16,5,17,4,14,8,15,2,8,2,10,6,8,1,15,1,14,11,18,1,8,3,10,2,8,6,10,4,8,1,15,1,14,3,7,2,8,1,15,1,7,1,14,3,17,1,16,4,17,2,14,43,3,4,14,30,15,6,14,13,3,7,14,7,3,2,14,2,3,2,14,15,15,4,14,3,3,3,14,10,15,3,14,41,15,1,14,2,15,3,18,1,15,4,18,2,15,1,14,3,15,1,14,1,15,1,14,6,18,1,8,4,18,13,8,50,10,1,8,12,10,8,8,45,10,6,8,5,10,1,8,7,10,6,8,4,10,13,8,5,10,2,8,2,10,2,8,27,10,22,8,6,10,30,8,3,10,30,8,1,10,23,8,11,18,1,15,1,14,2,18,1,8,2,10,4,8,4,18,13,10,1,4,8,18,1,8,2,10,35,8,8,10,1,8,9,10,4,8,79,10,1,8,11,10,3,8,17,10,8,8,6,10,3,8,5,10,6,8,2,10,4,8,6,10,72,8,1,10,30,8,2,10,30,8,1,18,1,8,5,10,6,8,2,10,7,8,6,10,4,8,9,10,6,8,1,10,9,8,5,10,7,8,3,10,3,4,2,19,5,4,742,},
{4,649,19,4,4,3,10,5,8,1,14,3,15,1,8,8,10,1,8,1,14,2,15,2,8,2,15,2,8,2,14,1,17,3,14,10,8,3,15,1,8,1,15,1,14,11,7,2,15,2,8,3,10,28,4,6,10,2,9,1,18,1,9,1,8,1,14,1,3,1,14,3,15,2,14,2,16,12,17,1,16,9,17,1,14,1,15,1,14,2,16,13,17,2,14,1,15,1,14,1,16,9,14,2,15,1,8,3,14,1,16,6,14,2,16,4,17,1,14,1,15,3,14,2,16,1,17,1,14,9,16,7,14,15,15,1,14,1,16,5,14,1,15,1,8,1,14,2,16,1,14,3,15,3,14,1,16,5,14,1,15,2,14,2,17,1,14,4,17,1,16,2,14,1,15,1,8,1,15,1,14,1,16,5,14,7,16,4,14,3,16,39,17,1,14,1,7,2,17,1,16,5,17,1,7,1,8,2,15,1,14,3,16,3,3,4,14,1,18,1,10,2,8,1,15,1,14,1,16,1,17,2,14,4,15,1,8,1,10,6,8,1,14,5,18,1,8,1,18,1,8,2,10,1,8,3,10,4,8,1,10,6,8,4,18,2,8,12,9,1,10,4,9,1,8,2,18,2,8,2,15,2,14,2,3,1,14,2,15,1,8,2,15,1,14,1,3,1,16,1,3,1,14,5,3,2,16,1,3,2,14,2,15,3,14,1,16,34,17,3,16,3,17,2,14,4,15,5,18,1,8,4,10,6,8,1,15,1,14,11,15,1,8,2,10,4,8,4,10,4,8,2,14,4,7,3,14,4,17,1,16,3,17,3,14,34,3,3,14,5,3,7,14,30,15,2,14,2,15,3,14,14,3,6,14,5,3,2,14,2,3,2,14,15,15,4,14,3,3,4,14,9,15,2,14,41,15,5,18,4,15,2,18,1,8,2,15,1,14,3,15,5,14,3,15,1,18,1,8,4,18,14,8,49,10,2,8,10,10,10,8,45,10,4,8,5,10,2,8,11,10,2,8,4,10,2,8,2,10,9,8,3,10,8,8,28,10,21,8,6,10,30,8,3,10,26,8,5,10,22,8,13,18,1,15,2,8,3,10,2,8,6,18,12,8,1,10,4,18,5,8,3,10,8,8,1,10,46,8,81,10,1,8,2,10,1,8,4,10,7,8,20,10,3,8,9,10,2,8,4,10,8,8,1,10,4,8,6,10,48,8,1,10,44,8,1,10,37,8,2,10,1,8,2,18,2,8,4,10,15,8,12,10,3,8,4,10,6,8,4,10,6,8,6,10,6,8,3,10,3,4,2,19,5,4,742,},
{4,649,19,4,4,3,10,4,8,1,15,1,14,3,15,1,8,8,10,1,8,1,15,1,14,1,15,1,8,7,14,2,17,2,14,10,18,1,8,5,14,11,7,2,15,2,8,3,10,28,4,6,10,2,9,1,18,1,8,1,18,1,14,1,3,1,14,6,16,24,14,1,15,1,14,2,16,9,17,1,16,2,17,1,14,2,15,2,14,1,16,5,17,1,14,3,15,2,8,2,15,1,14,1,16,7,14,1,15,1,14,1,16,3,14,1,15,3,14,1,17,1,16,2,17,1,14,9,16,6,14,9,15,1,14,7,16,6,14,1,8,2,14,2,3,1,14,3,15,2,14,2,16,4,17,1,14,5,16,1,17,1,14,3,16,3,14,1,15,1,8,2,14,1,17,1,16,4,14,7,16,4,14,3,16,39,17,1,14,2,17,1,16,6,14,1,7,1,8,3,14,2,16,4,3,4,14,1,15,1,8,3,14,2,16,1,17,2,14,4,15,1,8,1,10,6,8,1,15,1,14,3,15,1,18,1,8,1,18,1,8,13,10,1,8,1,10,1,8,2,18,3,15,2,8,5,15,6,8,3,9,1,10,3,9,1,8,4,15,1,8,1,15,2,14,3,15,1,18,1,8,2,15,1,14,2,3,1,14,7,3,3,14,2,15,4,14,1,17,1,16,33,17,3,16,4,17,1,14,4,15,1,8,7,10,9,8,1,15,2,14,6,3,2,14,2,8,1,10,13,15,1,14,10,17,2,16,2,17,2,14,2,17,2,14,10,3,1,14,21,3,15,14,35,15,1,18,2,15,1,14,15,3,4,14,5,3,2,14,2,3,3,14,22,3,3,14,52,18,9,15,2,18,1,8,2,18,1,15,8,14,2,15,1,18,3,8,2,18,7,8,2,18,7,8,47,10,3,8,10,10,9,8,32,10,4,8,10,10,5,8,1,10,6,8,21,10,8,8,4,10,2,8,1,10,4,8,27,10,6,8,6,10,8,8,8,10,30,8,3,10,24,8,5,10,24,8,3,10,5,8,6,18,2,8,15,18,9,8,2,10,4,8,5,10,8,8,4,10,44,8,4,10,1,8,76,10,1,8,3,10,1,8,2,10,8,8,26,18,2,8,4,10,20,8,6,10,91,8,1,10,37,8,6,18,1,8,4,10,18,8,9,10,4,8,4,10,5,8,7,10,3,8,6,10,7,8,3,10,3,4,2,19,5,4,742,},
{4,649,19,5,4,2,10,4,8,1,14,4,15,1,8,4,10,2,8,2,10,1,8,1,15,3,8,1,10,2,8,4,15,1,14,2,17,1,14,10,15,1,8,5,14,7,17,2,14,2,7,3,15,1,8,3,10,26,4,8,10,2,9,2,8,1,15,1,14,1,3,2,14,3,17,1,16,4,14,1,16,4,14,1,16,15,14,1,7,1,14,1,16,9,17,2,16,3,14,1,15,3,17,1,16,5,14,3,8,4,15,1,14,1,16,7,14,1,15,1,8,1,14,1,16,3,14,1,15,2,14,1,17,1,16,3,14,7,15,2,14,1,16,5,17,1,14,1,15,1,14,6,15,3,14,5,16,7,14,1,8,2,14,7,15,1,14,1,17,1,16,3,17,1,14,6,16,1,14,4,16,3,14,1,15,1,8,2,15,1,14,1,16,4,17,1,14,7,16,3,14,3,17,1,16,38,17,1,14,1,17,1,16,7,14,1,8,1,10,1,9,1,8,1,14,1,16,5,3,4,14,2,15,2,14,2,17,5,14,3,15,1,8,2,10,5,8,2,18,7,8,8,18,2,8,7,18,3,15,1,18,2,15,5,14,4,15,2,8,1,15,2,8,3,9,2,10,3,8,4,15,4,18,1,8,1,15,2,14,6,15,3,14,3,3,1,14,3,15,1,8,1,15,3,14,1,16,34,17,2,16,5,17,1,14,3,15,1,8,5,10,12,8,2,15,1,14,3,3,5,14,1,18,1,8,1,10,11,8,1,15,1,14,5,17,1,16,5,17,1,16,1,17,1,14,4,17,2,14,10,3,2,14,19,3,4,14,2,3,5,14,6,3,1,14,34,18,3,15,1,14,23,3,7,14,24,3,3,14,19,15,2,14,20,15,1,14,3,15,5,18,1,8,3,18,4,15,1,14,2,18,2,8,2,15,2,14,5,15,1,18,1,15,2,18,10,8,5,18,5,8,19,10,1,8,28,10,2,8,11,10,10,8,28,10,8,8,10,10,12,8,12,10,3,8,5,10,4,8,8,10,3,8,31,10,5,8,7,10,5,8,11,10,2,8,2,10,25,8,4,10,52,8,3,10,7,8,5,18,1,8,16,18,7,8,5,10,5,8,2,10,9,8,2,10,45,8,4,10,2,8,79,10,12,8,26,18,2,8,4,10,19,8,8,10,90,8,1,10,37,8,10,10,21,8,6,10,5,8,3,10,6,8,16,10,13,4,2,19,5,4,742,},
{4,649,19,5,4,2,10,3,8,2,14,4,15,2,8,3,10,2,8,2,10,1,8,2,15,1,8,2,10,3,8,3,15,1,14,14,15,2,8,1,10,1,8,1,15,1,14,5,17,3,14,2,7,2,15,1,8,5,10,21,8,2,9,1,10,1,4,8,10,3,9,1,18,1,14,1,3,3,14,2,17,1,16,3,14,6,17,1,14,1,16,15,17,1,14,2,16,9,17,1,16,3,17,1,14,1,15,2,14,1,16,6,14,2,8,1,9,2,8,1,14,2,16,8,14,1,8,2,14,2,16,1,14,2,15,1,14,2,16,4,14,3,15,1,14,6,16,5,14,9,15,3,14,5,16,7,14,1,15,2,14,3,17,2,14,5,16,2,14,5,17,1,14,7,16,3,14,1,8,3,15,1,14,1,16,5,14,5,15,1,14,1,17,1,16,2,17,1,14,3,16,38,14,2,16,8,14,1,8,1,10,2,8,1,14,1,16,5,3,2,14,2,15,2,14,3,17,3,14,2,17,1,14,3,15,1,8,4,10,4,8,5,18,3,8,6,18,2,15,1,18,1,8,7,18,2,15,2,18,2,15,3,14,6,15,1,8,2,15,2,14,1,15,1,18,1,8,2,10,4,9,2,8,2,18,2,8,3,18,1,14,2,15,1,18,1,8,1,15,3,8,1,15,2,14,2,3,1,14,3,15,1,8,3,15,1,14,1,17,1,16,39,17,2,14,3,15,1,8,4,10,8,8,2,10,4,8,1,15,1,14,2,3,6,14,1,18,1,8,1,10,11,8,1,15,1,14,4,17,1,16,6,17,2,14,5,16,2,14,10,3,3,14,19,3,2,14,4,3,4,14,6,3,4,14,31,15,2,18,1,15,2,14,22,3,8,14,3,3,1,14,19,3,3,14,37,15,4,18,1,15,3,18,1,15,1,18,3,8,5,18,4,14,3,18,1,8,3,15,1,14,5,15,1,18,5,15,1,18,6,8,30,10,3,8,26,10,2,8,11,10,10,8,13,10,2,8,2,10,1,8,1,10,1,8,8,10,9,8,10,10,12,8,11,10,3,8,5,10,2,8,7,10,2,8,35,10,6,8,6,10,3,8,12,10,2,8,4,10,26,8,2,10,51,8,4,10,8,8,13,18,1,8,7,18,4,8,8,10,5,8,2,10,53,8,1,10,2,8,4,10,2,8,12,10,1,8,63,10,1,8,2,10,10,8,34,10,13,8,5,10,4,8,5,10,126,8,10,10,24,8,5,10,3,8,4,10,5,8,5,10,1,8,11,10,14,4,2,19,5,4,742,},
{4,650,19,4,4,2,10,3,8,1,15,1,14,4,7,1,15,1,8,3,10,2,8,8,10,3,8,3,15,1,14,16,15,1,10,1,8,1,15,1,14,5,17,1,16,1,17,1,14,2,15,2,8,8,10,18,8,1,18,4,4,8,10,1,9,2,18,1,14,2,3,3,14,3,16,2,14,7,17,1,16,17,14,3,16,12,14,4,17,1,16,6,14,1,15,1,8,1,10,1,8,1,14,1,3,1,16,8,14,1,15,1,8,2,14,7,17,1,16,4,14,1,15,4,14,4,17,1,16,4,14,7,15,5,14,6,16,7,14,2,15,1,14,3,3,1,16,1,14,8,15,1,14,2,16,2,14,7,16,3,15,1,8,1,10,1,8,1,15,1,17,1,16,5,14,1,17,1,14,3,15,1,14,2,16,3,14,3,17,1,16,36,17,1,14,2,16,8,14,1,8,1,9,2,15,1,14,2,16,2,14,1,3,2,14,2,8,3,15,1,14,1,17,1,16,2,17,1,14,2,17,1,14,2,15,1,18,1,8,6,10,3,8,4,15,1,14,1,15,1,18,1,8,6,18,3,8,2,10,1,8,5,18,4,8,1,18,1,15,2,14,5,15,1,8,1,9,2,15,1,14,3,18,1,8,1,9,2,10,5,9,1,8,4,9,1,8,2,15,1,14,1,15,1,8,2,18,2,8,2,18,1,14,2,3,4,14,1,15,1,18,1,8,2,15,1,7,1,14,1,16,19,17,4,16,14,17,2,14,6,18,3,8,2,10,7,8,2,10,5,18,1,14,2,3,6,14,2,18,1,8,1,10,10,8,1,15,1,14,2,15,1,14,2,16,5,17,1,14,7,16,2,14,16,3,3,14,11,3,3,14,15,3,9,14,28,15,3,14,21,3,10,14,1,3,2,14,19,3,3,14,37,15,2,8,3,18,4,8,8,18,5,15,1,14,1,18,2,8,3,18,2,14,3,18,8,14,1,18,4,8,18,10,4,8,9,10,3,8,26,10,2,8,11,10,4,8,1,10,5,8,15,10,2,8,2,10,2,8,7,10,9,8,12,10,10,8,12,10,1,8,5,10,4,8,5,10,3,8,35,10,5,8,6,10,2,8,15,10,1,8,3,10,81,8,3,10,8,8,4,18,1,8,29,10,2,8,4,10,56,8,4,10,2,8,12,10,1,8,28,18,1,8,34,10,1,8,1,10,8,8,1,10,1,8,23,10,2,8,11,10,1,8,6,10,1,8,8,10,6,8,4,10,123,8,10,10,28,8,4,10,2,8,5,10,3,8,6,10,4,8,8,10,13,8,1,10,1,4,2,19,5,4,742,},
{4,650,19,4,4,2,18,1,10,1,8,2,15,1,14,5,15,1,8,3,10,2,8,3,18,1,8,5,10,2,8,2,15,3,14,3,15,2,14,7,15,1,14,3,8,2,14,2,17,2,14,2,17,1,16,1,17,1,14,2,8,10,10,18,8,1,18,4,4,9,18,1,9,1,18,1,3,5,14,3,17,1,14,2,15,2,14,3,17,1,16,18,14,1,15,1,14,1,16,11,17,1,14,3,16,7,14,2,8,2,9,1,15,1,14,1,16,8,17,1,14,1,15,2,14,2,16,1,14,5,16,4,14,2,15,3,14,5,16,5,14,1,15,1,14,5,15,4,14,7,16,7,14,1,15,2,14,4,16,1,14,2,15,1,14,4,15,2,14,2,16,1,14,7,3,1,16,2,14,1,8,1,10,2,8,1,14,1,16,6,17,2,14,3,15,1,14,2,16,3,14,3,17,1,16,2,17,2,16,3,17,1,14,1,16,27,14,3,16,8,14,1,15,1,8,2,15,1,14,8,15,1,8,1,10,2,8,1,14,2,16,1,17,1,14,3,17,1,14,2,8,8,10,4,8,2,18,1,15,1,14,1,15,1,18,2,8,2,10,2,8,5,10,6,8,2,18,2,8,3,15,5,14,2,15,1,9,1,10,1,9,1,15,1,14,2,15,1,8,1,9,1,8,3,9,1,10,4,9,1,8,3,10,2,8,2,18,2,8,4,9,1,8,1,18,1,14,1,3,5,14,2,15,3,8,1,7,1,14,1,16,35,17,1,14,11,15,1,18,1,8,1,10,14,8,1,15,1,14,10,18,1,10,10,8,1,15,3,8,1,15,1,14,1,17,1,16,2,17,2,14,8,16,1,17,1,14,1,15,3,14,12,3,3,14,29,3,11,14,28,15,1,14,21,3,9,14,23,3,3,14,35,15,2,18,1,8,5,18,2,8,7,18,4,8,2,18,4,8,4,18,6,8,2,18,5,14,1,18,4,8,18,10,7,8,6,10,3,8,27,10,1,8,11,10,4,8,1,10,5,8,13,10,5,8,1,10,1,8,13,10,2,8,16,10,2,8,2,10,1,8,1,10,1,8,19,10,5,8,4,10,3,8,35,10,4,8,7,10,1,8,15,10,2,8,3,10,81,8,3,10,8,8,4,18,1,8,35,10,56,8,3,10,3,8,12,10,1,8,25,18,4,8,37,10,7,8,24,10,9,8,21,10,132,8,9,10,11,8,4,10,16,8,3,10,2,8,4,10,4,8,3,18,1,8,2,10,5,8,6,10,16,4,1,19,6,4,742,},
{4,651,19,3,4,2,18,2,8,3,7,1,14,4,15,1,8,7,15,2,18,1,8,5,10,1,8,2,15,2,14,4,15,2,14,6,15,1,8,2,14,2,8,1,15,1,14,1,17,3,14,2,17,3,14,1,7,1,8,10,10,18,18,2,3,2,18,1,4,10,9,1,18,1,3,1,16,2,3,1,14,6,15,1,8,2,15,1,14,1,16,5,17,1,14,3,16,11,14,1,15,2,16,10,17,4,16,7,17,1,14,1,15,1,8,3,14,1,16,6,14,2,17,1,16,1,14,4,16,2,17,1,14,4,16,4,14,2,15,2,14,3,17,1,16,6,14,1,15,1,8,1,14,5,15,3,14,14,16,1,14,1,8,2,14,7,15,1,14,3,15,2,14,2,16,1,17,1,14,2,15,1,14,4,16,3,14,1,8,1,10,2,15,1,17,1,16,5,17,1,14,1,17,2,14,2,15,1,14,2,16,3,17,2,16,3,17,1,14,2,17,1,16,2,14,1,7,1,14,1,16,26,14,3,17,1,16,6,17,1,14,1,15,1,8,1,9,1,8,1,14,7,15,1,8,1,10,3,8,1,15,1,14,6,17,1,14,2,8,8,10,4,8,2,18,1,15,2,18,3,8,2,10,3,8,5,10,6,8,1,18,2,8,3,15,5,14,2,15,1,8,1,10,1,9,1,8,1,15,2,18,1,9,1,10,1,9,1,8,1,18,3,8,2,9,2,8,4,10,1,9,1,8,6,9,3,8,1,15,1,14,1,3,4,14,4,15,2,7,1,14,2,16,29,17,1,16,3,17,1,14,2,7,1,15,2,14,8,18,1,8,1,10,14,8,4,18,3,14,5,18,1,10,9,8,3,15,2,8,1,15,1,14,14,16,1,14,2,15,7,14,3,3,2,14,1,3,5,14,28,3,15,14,2,3,3,14,27,15,2,14,13,3,9,14,19,3,6,14,36,15,1,18,1,8,5,18,4,8,2,18,2,8,1,18,4,8,4,18,3,8,2,18,4,8,6,18,10,8,3,18,3,8,13,10,6,8,48,10,4,8,2,10,4,8,63,10,3,8,11,10,5,8,4,10,3,8,36,10,4,8,21,10,4,8,2,10,15,8,4,10,62,8,3,10,8,8,34,10,1,8,5,10,7,8,1,10,14,8,3,10,32,8,2,10,3,8,38,18,5,8,35,10,8,8,28,10,6,8,20,10,132,8,8,10,10,8,7,10,15,8,3,10,2,8,4,10,4,8,2,18,2,8,2,10,4,8,6,10,16,4,2,19,6,4,742,},
{4,651,19,3,4,3,18,2,8,2,7,1,14,4,15,1,8,7,15,1,14,1,15,1,18,1,8,7,15,2,14,4,8,1,15,1,14,5,15,1,8,3,14,5,17,3,14,5,7,1,8,12,10,17,18,1,14,1,3,2,18,1,4,10,18,1,14,1,3,1,16,2,3,1,14,5,15,1,8,1,9,1,8,1,14,2,16,5,14,4,16,12,14,1,17,1,16,7,17,1,14,2,17,1,16,9,17,1,14,2,15,3,14,1,3,1,16,5,14,1,15,2,14,1,16,1,14,2,16,4,14,3,17,1,16,4,14,3,15,1,14,3,17,1,16,6,14,2,8,2,14,1,17,1,16,2,14,18,3,1,14,1,8,2,14,6,15,3,14,5,16,2,14,8,16,2,14,2,8,3,14,1,16,5,14,3,17,1,14,3,15,1,14,2,16,8,17,1,14,2,17,1,16,2,14,1,7,1,14,1,16,26,14,3,17,1,16,6,17,1,14,1,15,1,8,2,15,1,14,6,15,1,8,2,10,4,8,1,14,6,17,1,14,1,15,1,8,2,10,3,8,1,10,5,8,1,18,2,14,1,18,6,8,1,10,3,8,2,10,2,8,3,10,4,8,1,18,2,8,1,9,1,8,2,15,1,8,2,15,2,14,1,15,1,8,1,9,2,8,1,15,2,8,1,10,2,9,1,18,5,8,1,10,3,9,1,8,2,9,1,10,3,9,1,8,2,9,2,10,1,9,1,8,1,18,1,15,1,14,1,3,4,14,4,15,1,8,1,7,1,14,2,16,28,17,1,16,3,17,1,14,3,7,1,15,2,14,7,18,1,8,1,10,19,8,2,18,2,14,3,18,1,8,1,10,8,8,3,15,2,8,1,15,1,14,10,17,5,14,2,15,1,8,1,15,5,14,2,3,8,14,29,3,28,14,19,15,2,14,17,3,5,14,10,3,1,14,8,3,5,14,36,15,1,18,1,8,6,18,5,8,1,18,8,8,8,18,3,8,7,18,11,8,1,18,5,8,15,10,2,8,49,10,3,8,4,10,3,8,62,10,4,8,12,10,4,8,3,10,4,8,56,10,24,8,9,10,59,8,2,10,9,8,21,10,4,8,7,10,15,8,2,10,10,8,6,10,37,8,41,18,1,8,36,10,7,8,30,10,4,8,21,10,47,8,2,10,66,8,1,10,16,8,4,10,12,8,14,10,10,8,2,10,3,8,3,10,4,8,2,18,3,8,2,10,4,8,5,10,17,4,2,19,6,4,742,},
{4,651,19,3,4,2,18,1,3,1,18,1,8,2,7,1,14,5,8,7,18,1,14,1,15,2,8,9,14,1,17,1,14,2,8,1,15,1,14,5,15,1,8,1,10,1,8,1,15,1,14,3,17,3,14,6,7,1,8,12,10,17,18,1,3,4,4,10,18,1,14,1,3,1,16,3,3,1,14,4,15,1,8,2,15,1,14,2,17,1,16,3,17,1,14,3,16,22,17,1,14,2,16,9,17,1,14,4,15,1,14,2,16,5,14,2,15,2,14,1,16,6,14,4,17,1,16,4,14,7,16,4,14,1,16,1,17,1,14,2,15,2,14,1,16,4,14,8,17,1,16,2,14,5,3,2,14,1,8,2,14,1,3,1,14,4,15,2,14,6,16,2,14,8,3,1,14,2,15,1,8,1,15,1,14,1,16,5,17,1,14,6,15,2,14,2,16,9,14,2,17,1,16,2,17,1,14,2,16,27,14,3,16,7,14,1,15,1,8,2,15,1,14,4,3,1,14,1,15,1,8,3,10,2,8,2,14,9,8,2,10,8,8,2,18,1,14,2,15,1,18,1,8,2,18,1,8,2,10,3,8,2,10,1,8,5,10,2,9,1,8,1,18,1,15,1,9,2,8,4,9,1,8,1,15,4,9,2,8,3,9,1,10,2,9,1,18,6,10,6,8,1,10,4,9,1,8,3,9,3,8,1,18,1,15,1,14,3,3,4,14,1,15,2,8,1,15,1,14,1,17,1,16,10,17,2,16,19,17,2,14,10,18,3,8,5,10,16,8,2,18,3,14,1,18,1,8,1,10,8,8,1,9,1,8,1,15,4,14,9,17,2,16,1,17,1,14,4,15,1,8,1,15,5,14,2,3,7,14,26,3,34,14,17,15,6,14,4,3,2,14,7,3,4,14,11,3,1,14,8,3,5,14,21,15,3,14,11,15,1,18,2,8,6,18,14,8,8,18,2,8,8,18,17,8,47,10,1,8,11,10,2,8,6,10,2,8,3,10,4,8,17,10,2,8,43,10,4,8,2,18,3,8,8,10,4,8,1,10,5,8,39,10,6,8,9,10,26,8,11,10,68,8,8,10,1,8,11,10,5,8,7,10,16,8,7,10,2,8,8,10,35,8,83,10,2,8,33,10,3,8,21,10,25,8,2,10,20,8,2,10,31,8,1,10,47,8,1,10,3,8,3,10,11,8,17,10,9,8,2,10,10,8,2,18,2,8,3,10,3,8,4,10,19,4,2,19,6,4,742,},
{4,651,19,4,4,1,18,1,3,1,14,1,15,1,7,2,14,5,15,1,8,4,10,2,8,1,14,2,15,1,8,9,14,4,15,2,14,5,15,1,8,3,15,1,14,9,7,4,15,1,8,11,10,11,8,2,10,4,18,1,3,4,4,10,18,1,14,1,3,2,16,2,3,1,14,2,15,3,8,1,15,1,14,4,17,1,14,2,17,1,16,11,17,2,16,13,17,1,14,1,16,8,17,1,14,6,3,1,16,2,3,1,14,4,15,2,14,1,17,1,16,4,14,6,16,4,14,7,16,4,14,8,17,1,16,6,17,1,16,2,14,4,16,2,14,4,3,2,14,2,15,1,14,1,3,1,16,1,3,1,14,3,15,2,14,5,17,2,14,11,15,3,14,1,16,6,14,1,15,2,14,3,15,3,14,1,16,3,17,1,14,1,17,1,16,4,17,2,16,3,17,1,14,2,16,30,17,3,16,4,14,2,15,3,14,3,3,1,16,1,14,2,8,3,10,2,8,1,15,1,14,9,18,1,8,1,10,7,8,2,15,1,14,3,15,1,18,1,8,4,10,3,8,3,10,2,8,2,18,2,8,1,9,1,8,2,18,2,9,1,10,1,9,6,8,1,15,3,9,6,10,2,9,1,8,1,9,2,18,3,10,6,8,1,10,4,9,1,8,1,18,2,8,5,18,3,15,1,14,2,3,3,14,1,15,1,8,2,15,1,14,1,16,10,17,2,16,18,17,6,14,7,18,3,8,3,18,2,8,1,10,17,8,1,18,2,14,1,18,2,10,10,8,2,15,1,14,11,17,2,16,2,14,4,15,7,14,2,3,6,14,26,3,37,14,34,3,4,14,20,3,1,14,16,15,2,14,5,15,8,14,5,15,2,18,2,8,8,18,7,8,3,18,4,8,3,18,3,8,12,18,17,8,18,10,3,8,26,10,1,8,10,10,3,8,6,10,2,8,3,10,5,8,14,10,4,8,32,10,2,8,10,10,1,8,3,18,4,8,11,10,4,8,3,10,8,8,32,10,6,8,7,10,27,8,12,10,66,8,8,10,2,8,11,10,5,8,7,10,17,8,6,10,4,8,6,10,13,8,3,10,18,8,95,10,6,8,19,10,2,8,20,10,25,8,3,10,27,8,2,10,23,8,2,10,43,8,9,10,10,8,19,10,10,8,2,10,9,8,3,18,2,8,3,10,3,8,3,10,20,4,2,19,6,4,742,},
{4,651,19,4,4,1,18,1,3,1,14,2,7,2,14,6,15,1,8,2,10,3,8,1,15,1,14,2,8,4,15,1,8,1,10,2,8,1,15,1,14,3,15,1,14,7,15,1,8,1,15,1,14,9,15,2,8,1,15,1,7,2,14,1,7,2,15,1,8,7,10,11,8,3,10,3,18,1,3,3,18,1,4,10,18,1,14,1,3,2,16,3,3,1,14,1,15,1,8,2,15,1,14,2,16,1,14,1,17,2,14,2,16,12,17,1,14,2,16,22,14,5,3,1,16,3,3,1,14,4,15,3,14,1,16,4,17,1,14,4,17,1,16,5,14,2,15,1,14,4,16,4,14,2,15,2,14,4,16,2,14,2,17,1,16,1,17,1,16,4,14,3,16,2,14,7,15,2,14,1,16,3,3,1,14,2,15,2,14,4,17,1,14,12,15,1,8,2,14,1,16,6,14,2,15,3,14,1,15,4,14,1,16,3,14,3,17,1,16,8,17,1,14,2,3,1,16,15,3,2,16,13,17,5,16,1,17,1,14,7,16,2,14,2,15,1,8,2,10,2,8,1,14,2,3,1,14,8,18,1,8,1,10,6,8,1,15,1,14,5,18,1,8,3,10,4,8,1,18,1,8,1,10,3,8,1,18,3,8,3,18,1,8,1,10,3,9,3,10,2,9,2,15,1,8,1,9,1,10,1,9,4,10,2,9,2,10,3,8,2,10,6,8,2,9,1,10,1,9,1,8,1,18,12,14,2,3,3,14,1,15,1,8,3,14,1,16,29,17,3,16,4,17,1,14,6,15,1,18,2,8,2,18,4,8,1,10,17,8,1,18,1,3,2,18,1,10,11,8,1,15,1,14,7,17,3,14,2,17,2,16,1,14,5,15,6,14,2,3,3,14,30,3,3,14,2,3,32,14,20,15,2,14,11,3,4,14,25,3,2,14,10,15,3,14,4,15,12,18,3,8,10,18,6,8,4,18,4,8,1,18,6,8,1,10,2,8,2,18,4,8,3,18,2,8,2,18,7,14,2,18,3,8,3,18,1,8,2,10,1,8,10,10,4,8,37,10,3,8,6,10,3,8,2,10,6,8,10,10,8,8,18,10,3,8,9,10,4,8,3,10,3,8,6,18,1,14,2,18,2,8,11,10,4,8,3,10,9,8,31,10,5,8,9,10,4,8,5,10,17,8,5,18,3,8,4,10,67,8,6,10,3,8,24,10,44,8,4,10,9,8,1,10,8,8,80,10,2,8,12,10,9,8,17,10,2,8,20,10,25,8,2,10,28,8,3,10,22,8,2,10,42,8,3,18,1,8,5,10,7,8,20,10,14,8,3,10,6,8,3,18,1,15,1,18,2,8,2,10,26,4,2,19,6,4,742,},
{4,651,19,4,4,2,18,1,14,10,15,1,8,3,10,2,8,1,15,1,14,2,15,1,8,5,10,2,8,1,14,13,15,1,14,8,7,2,15,3,7,1,14,5,15,1,8,8,10,9,8,1,18,2,8,1,10,3,8,1,14,1,3,2,18,1,4,6,18,2,4,2,18,1,14,2,3,1,16,4,14,1,15,1,8,2,14,2,16,5,14,3,16,11,14,2,17,1,16,6,14,2,16,14,14,4,16,5,14,1,15,3,14,1,15,1,14,3,16,4,14,4,16,7,14,2,15,1,14,4,16,3,14,2,15,1,8,1,15,2,14,2,17,1,16,2,14,3,17,2,16,4,14,3,17,2,14,6,8,1,15,1,14,1,16,4,14,7,17,1,16,2,14,5,16,2,14,5,15,1,8,1,15,1,14,1,16,5,14,2,15,3,14,2,15,4,14,1,16,3,14,4,16,7,17,1,14,1,7,1,14,1,3,1,16,14,3,1,14,2,16,13,17,4,16,3,14,5,17,1,14,2,16,2,14,2,15,1,8,1,10,1,8,1,15,1,14,1,16,2,3,1,14,8,8,2,10,4,8,2,14,2,3,1,14,3,18,1,8,1,10,1,8,2,10,3,8,3,10,3,8,1,18,1,15,1,18,1,8,1,9,2,8,1,9,1,10,10,9,2,10,3,9,2,10,3,9,1,10,12,8,4,18,3,14,4,15,1,18,2,8,3,18,2,15,1,14,1,3,1,14,3,15,1,8,1,15,1,14,1,16,24,17,2,16,2,17,5,16,4,14,4,15,2,18,9,8,1,10,11,8,1,10,6,18,1,14,1,3,1,14,1,18,1,10,10,8,1,15,1,14,3,17,4,16,2,17,2,14,1,17,3,14,9,15,2,14,35,3,2,14,5,3,8,14,2,3,8,14,1,3,1,14,2,3,9,14,15,3,2,14,15,3,4,14,26,3,1,14,11,15,3,14,1,15,10,18,3,8,15,18,6,8,5,18,9,8,2,10,1,8,2,18,6,8,4,18,9,14,1,18,3,8,3,18,1,8,2,10,1,8,10,10,4,8,17,10,2,8,5,10,2,8,11,10,4,8,5,10,2,8,4,10,2,8,10,10,1,8,1,10,9,8,30,10,1,8,6,10,3,8,6,18,4,8,4,18,2,8,6,10,3,8,4,10,10,8,30,10,5,8,9,10,4,8,6,10,6,8,3,10,7,8,6,18,1,8,5,10,67,8,9,10,2,8,6,10,1,8,9,10,1,8,5,10,44,8,5,10,3,8,11,10,3,8,72,10,1,8,3,10,2,8,21,10,4,8,39,10,55,8,2,10,24,8,1,10,41,8,2,18,3,8,5,10,7,8,20,10,15,8,3,10,5,8,2,18,1,15,1,18,1,8,4,10,26,4,2,19,6,4,742,},
{4,651,19,5,4,1,18,2,14,3,7,1,14,1,17,2,14,2,8,2,15,1,8,2,10,1,8,1,15,1,14,2,15,1,8,5,10,1,8,1,7,1,17,3,14,1,7,3,14,6,7,1,14,7,7,5,14,4,17,1,14,2,15,1,8,1,15,3,8,5,10,8,8,2,18,1,8,1,10,3,8,1,14,1,3,2,18,1,4,6,18,3,9,1,8,1,15,1,14,1,3,1,16,4,14,1,15,1,8,1,15,1,14,3,16,4,14,4,17,1,16,9,14,2,16,7,14,2,16,5,17,1,16,8,14,2,17,1,16,6,14,1,15,1,8,1,15,1,14,4,16,5,14,3,16,9,14,2,15,1,14,7,15,5,14,2,17,3,16,2,17,1,14,16,15,1,8,1,14,1,16,4,17,1,14,7,16,3,14,3,16,4,14,5,15,2,14,1,16,5,17,1,14,1,15,3,14,4,15,3,14,1,16,3,17,1,14,3,16,4,17,1,14,6,16,15,14,1,15,1,14,1,16,14,17,3,16,3,14,2,15,1,14,2,17,1,14,2,16,2,17,1,14,1,8,4,14,1,17,1,16,3,14,8,18,1,10,5,8,1,18,1,14,1,3,2,14,1,18,3,8,1,10,1,8,3,10,3,8,2,10,4,18,3,9,1,10,4,9,2,10,13,9,1,10,11,9,1,10,5,8,2,18,4,15,2,14,3,15,1,18,1,8,7,18,1,14,7,16,24,17,7,14,9,15,1,8,5,18,1,8,2,18,3,8,2,10,17,8,1,18,1,14,3,15,1,8,1,10,9,8,1,18,1,14,2,17,1,16,5,3,8,14,72,3,10,14,32,3,4,14,40,15,2,18,2,8,1,18,1,15,2,18,2,8,1,18,3,8,5,18,1,8,13,15,2,14,2,15,1,8,6,18,1,8,4,18,3,8,6,18,4,8,4,18,13,8,3,18,1,8,14,10,3,8,17,10,9,8,12,10,3,8,11,10,2,8,13,10,7,8,3,10,3,8,48,18,2,8,5,10,2,8,12,10,6,8,29,10,2,8,14,10,1,8,4,10,2,8,1,10,4,8,6,10,4,8,13,10,2,8,4,10,9,8,1,10,54,8,8,10,7,8,15,10,33,8,2,10,10,8,20,10,2,8,38,18,1,8,27,10,4,8,5,10,3,8,11,10,4,8,49,10,54,8,2,10,43,8,1,10,8,8,2,10,9,8,4,18,5,8,4,10,7,8,22,10,14,8,3,10,5,8,1,18,1,14,1,18,1,8,5,10,26,4,3,19,5,4,742,},
{4,652,19,3,4,2,18,2,7,5,6,1,17,2,14,1,15,1,8,1,15,2,8,3,15,1,14,2,7,1,8,7,14,1,17,3,6,1,7,5,14,4,7,1,14,7,7,3,14,5,17,1,14,3,7,1,8,1,15,3,8,6,10,8,8,3,10,4,18,1,14,2,18,1,10,1,4,1,10,1,18,5,8,2,15,2,14,1,3,1,16,4,14,2,15,2,14,3,16,4,17,1,14,1,15,2,14,1,16,9,17,1,16,8,14,2,16,4,17,1,16,18,14,1,15,1,8,1,15,1,14,2,16,6,14,4,16,8,3,1,14,8,15,3,14,5,16,7,17,2,14,14,15,1,8,1,14,1,16,4,14,1,15,1,14,3,17,1,14,1,16,3,17,1,14,3,16,3,3,1,14,1,15,4,14,2,16,6,14,2,15,2,14,2,17,2,14,1,15,2,14,1,17,1,16,5,17,2,16,4,14,2,15,2,14,2,3,1,16,15,14,3,16,2,14,3,16,15,14,1,15,2,14,2,17,1,14,1,17,1,16,3,14,1,15,1,8,2,15,1,14,1,16,4,14,3,3,3,14,2,18,1,8,1,10,3,8,1,18,3,3,2,18,4,8,1,10,1,8,1,18,1,8,2,10,3,8,2,10,2,8,2,18,2,8,1,10,4,18,2,9,1,10,11,8,2,9,1,10,10,9,2,10,4,8,2,15,5,14,5,15,2,8,1,18,2,8,4,18,1,14,1,3,1,16,1,3,2,16,5,17,2,16,16,17,3,6,1,14,2,3,2,14,10,15,1,8,1,10,1,8,10,10,17,8,4,15,1,14,2,15,1,8,1,10,7,8,2,15,1,14,1,3,1,16,6,3,8,14,34,3,3,14,38,3,1,14,1,3,1,14,2,3,1,14,1,3,1,14,1,3,5,14,26,3,2,14,4,3,1,14,36,15,1,18,1,8,4,18,1,15,1,18,1,8,2,18,3,8,4,18,2,8,13,15,2,14,2,15,2,8,5,15,1,8,6,15,1,18,2,8,4,18,4,8,3,18,2,14,1,18,11,8,18,10,2,8,19,10,9,8,25,10,2,8,14,10,1,8,1,10,1,8,5,10,8,8,44,18,2,8,3,10,4,8,3,10,4,8,6,10,5,8,47,10,6,8,1,10,3,8,5,10,6,8,11,10,2,8,5,10,65,8,5,10,9,8,13,10,35,8,3,10,10,8,19,10,1,8,4,18,1,8,33,7,1,18,2,8,26,10,4,8,6,10,2,8,10,10,5,8,31,7,1,8,18,10,53,8,1,10,44,8,1,10,8,18,2,10,7,8,4,18,4,8,4,10,10,8,22,10,10,8,1,10,11,8,1,18,2,8,2,10,2,8,2,10,26,4,3,19,5,4,742,},
{4,657,18,2,7,5,6,1,17,1,6,1,14,1,15,2,14,2,15,3,14,3,7,1,8,7,14,1,17,3,6,1,7,4,14,5,7,1,14,18,7,3,15,2,8,3,10,1,8,2,10,10,8,1,10,5,8,4,10,3,8,2,18,2,8,1,9,2,15,1,14,2,3,1,16,4,17,1,14,1,8,3,14,1,16,6,14,1,15,1,8,1,14,1,16,17,14,3,16,22,14,2,8,2,15,1,14,2,3,1,16,5,3,1,14,2,3,1,16,6,3,1,14,10,15,1,14,3,16,12,17,4,16,1,14,4,15,1,14,2,16,1,17,1,14,1,15,2,3,1,16,4,14,1,15,1,14,3,16,5,17,1,14,3,16,3,14,2,15,4,14,2,16,5,14,1,15,4,14,1,16,2,14,2,15,2,14,1,16,7,17,1,14,1,17,3,14,2,15,2,14,2,16,16,14,3,16,3,14,2,17,1,16,14,14,1,8,2,15,1,14,1,16,1,17,1,16,4,17,1,14,1,15,2,14,2,16,4,14,3,3,1,16,1,3,1,14,2,18,1,8,1,10,3,8,1,18,3,3,2,18,3,8,1,10,2,8,4,10,2,8,6,18,4,10,4,18,2,8,1,9,4,8,1,18,2,8,1,10,3,8,3,9,1,10,2,9,1,8,2,9,1,10,2,9,3,10,4,8,3,15,1,14,10,15,1,14,1,15,2,8,4,14,1,3,1,16,7,17,2,16,18,17,2,6,1,14,14,8,2,10,2,8,9,10,18,8,2,9,1,8,1,14,3,8,2,10,5,8,2,15,1,14,2,3,1,16,7,3,1,14,41,3,1,14,22,3,3,14,21,3,7,14,32,3,2,14,35,15,1,18,1,8,3,18,4,8,2,18,3,8,4,18,2,8,13,15,5,8,14,18,2,8,4,18,4,8,3,18,14,8,3,18,1,8,13,10,4,8,21,10,5,8,25,10,4,8,20,10,9,8,49,10,11,8,7,10,2,8,44,10,17,8,2,10,9,8,9,10,3,8,4,10,65,8,5,10,6,8,3,10,3,8,8,10,37,8,3,10,10,8,19,10,1,8,68,10,3,8,7,10,3,8,7,10,7,8,37,10,4,8,8,10,113,8,14,10,12,8,22,10,16,8,1,10,4,8,2,18,1,8,2,10,30,4,3,19,5,4,742,},
{4,657,18,2,8,3,7,3,14,14,7,1,8,5,7,1,14,1,17,2,6,2,7,5,14,3,7,2,14,5,17,7,14,5,7,3,15,2,8,3,10,3,8,2,10,17,8,2,10,1,8,7,10,1,9,1,15,1,14,1,3,1,16,4,3,1,17,1,14,1,8,3,14,1,16,6,14,1,15,2,14,1,16,17,14,3,16,21,3,1,14,2,15,1,8,1,15,1,14,2,16,6,14,3,16,2,3,1,14,1,3,3,14,1,15,1,8,1,15,1,14,2,3,1,14,7,16,14,17,2,16,2,14,6,16,3,14,1,15,1,14,1,16,4,14,1,15,2,14,2,16,6,14,2,15,1,14,1,16,3,14,2,15,4,14,2,16,4,14,2,15,1,8,1,15,1,14,1,17,1,16,2,14,1,15,1,8,1,14,1,16,8,17,1,14,5,15,1,8,2,14,1,17,1,16,16,3,2,16,5,14,2,16,13,17,1,15,1,8,2,15,1,14,1,16,7,14,5,16,3,3,1,14,1,15,1,14,1,16,2,3,1,14,3,8,1,10,3,8,3,18,4,8,1,10,3,8,5,10,2,8,3,18,5,15,1,18,1,8,1,10,3,18,1,14,1,18,6,15,1,14,1,15,1,18,1,8,2,18,1,15,2,8,5,15,1,18,3,8,4,9,2,8,1,18,1,15,2,14,14,15,1,18,2,8,2,15,1,3,1,16,5,14,4,16,18,17,1,14,15,15,1,8,1,10,4,8,4,10,2,8,2,10,18,8,2,10,1,8,1,14,3,15,1,8,1,10,5,8,1,15,1,14,1,3,3,14,2,17,1,16,4,14,3,15,1,14,40,3,3,14,9,3,14,14,19,3,7,14,69,15,2,18,11,8,5,18,2,8,13,15,4,8,16,18,2,8,1,18,6,8,3,18,15,8,1,18,3,8,23,18,1,8,43,10,4,8,20,10,9,8,16,10,1,8,1,10,2,8,29,10,3,8,1,10,7,8,49,10,15,8,2,10,16,8,7,10,73,8,4,10,6,8,4,10,5,8,5,10,38,8,3,10,14,8,95,10,9,8,2,10,6,8,36,10,3,8,1,10,1,8,7,10,112,8,4,18,1,8,10,10,14,8,2,10,1,8,16,10,8,8,1,10,8,8,3,10,2,8,5,10,30,4,2,19,6,4,742,},
{4,657,18,2,8,3,7,2,14,15,7,1,8,2,7,2,8,1,7,1,14,1,17,1,6,3,7,5,14,3,7,2,14,4,17,1,16,2,17,4,14,7,7,2,15,2,8,2,10,3,8,4,10,18,8,8,10,1,9,1,15,1,14,1,3,1,16,1,3,4,14,1,15,1,8,2,14,1,16,6,14,4,16,18,14,2,16,23,14,2,15,1,8,1,15,1,14,2,16,6,14,2,3,1,16,2,14,2,3,2,14,2,8,2,15,1,14,1,3,1,16,1,3,1,14,5,16,14,17,3,16,2,17,1,14,4,16,4,14,1,15,1,14,1,16,4,14,1,15,2,14,2,16,6,14,1,15,2,14,1,16,2,17,1,14,2,15,3,14,2,3,1,16,3,3,1,14,2,15,1,8,1,15,1,14,1,16,2,14,1,8,3,14,1,16,9,14,3,17,1,14,1,15,1,8,2,15,1,16,24,17,1,14,1,16,13,14,1,15,1,8,2,14,2,16,7,17,1,14,4,16,3,14,2,8,1,14,1,16,2,3,1,14,1,3,1,14,1,18,1,8,1,10,2,8,2,10,1,8,1,18,3,8,1,10,2,8,6,10,1,8,4,18,1,15,2,18,1,15,1,14,2,18,1,9,1,10,2,18,1,14,1,15,3,14,6,15,3,14,3,15,1,8,3,15,4,18,6,15,1,14,6,3,1,14,3,15,4,14,4,15,1,18,2,8,2,15,1,14,1,16,5,14,5,16,16,17,2,14,15,15,1,8,1,10,4,8,3,10,4,8,1,10,8,8,1,10,9,8,2,10,2,15,1,14,1,15,2,8,1,10,5,8,1,15,1,14,1,3,3,14,4,17,1,16,1,3,1,14,1,15,1,8,3,15,1,14,4,15,2,14,31,3,6,14,6,3,15,14,19,3,6,14,15,3,1,14,14,15,3,14,17,3,2,14,7,3,2,14,10,15,5,18,3,15,2,18,2,8,4,18,3,8,13,18,1,15,2,8,16,18,17,14,1,18,17,8,17,18,6,8,20,10,1,8,21,10,3,8,20,10,9,8,13,10,3,8,6,10,3,8,30,10,6,8,36,10,7,8,3,10,17,8,8,10,10,8,7,10,73,8,4,10,6,8,4,10,7,8,2,10,40,8,1,10,18,8,94,10,5,8,6,10,7,8,45,10,81,8,3,10,28,8,3,18,2,8,4,10,26,8,2,10,3,8,7,10,6,8,5,10,7,8,11,10,3,8,4,10,22,4,2,19,5,4,743,},
{4,658,18,1,8,3,7,3,14,14,7,1,8,2,7,1,14,1,7,2,14,1,6,4,7,10,14,3,17,1,16,3,17,3,14,9,7,1,8,4,10,3,8,4,10,17,8,2,18,2,8,1,9,2,8,4,14,1,3,6,14,2,15,1,8,2,14,1,16,5,14,3,17,1,16,13,17,1,16,10,17,2,16,18,14,2,15,1,8,2,14,2,16,6,14,2,16,3,14,5,15,1,9,2,15,1,14,1,16,4,3,2,14,1,16,16,17,3,14,5,16,4,14,1,8,1,15,1,16,5,14,1,15,1,14,2,16,7,14,1,15,2,14,1,16,2,14,8,3,1,16,3,3,1,14,3,15,1,14,2,17,1,14,1,15,1,8,2,15,1,16,10,17,1,16,3,14,1,15,1,8,2,15,1,16,38,17,1,14,1,15,2,14,2,17,1,16,8,17,1,14,3,17,1,16,2,14,1,15,1,8,1,14,1,16,2,3,1,14,1,3,2,14,1,8,1,10,6,8,3,10,3,8,1,18,1,8,9,18,2,15,1,18,1,14,3,15,1,8,1,10,1,9,1,15,1,14,17,15,4,14,5,15,3,14,3,3,1,16,6,14,3,15,3,14,3,15,2,18,4,15,2,14,1,3,1,16,3,3,1,14,4,16,15,17,2,14,16,15,1,8,1,10,20,8,6,10,4,15,2,8,3,15,3,8,2,10,4,8,1,15,1,14,1,3,3,14,1,15,2,14,5,8,1,10,3,8,1,15,7,14,31,3,6,14,3,3,24,14,12,3,5,14,14,3,4,14,13,18,1,8,3,18,1,15,1,14,13,3,4,14,6,3,1,14,15,15,2,18,1,15,4,8,4,18,4,8,13,15,2,8,5,18,2,8,10,18,17,14,2,18,20,8,3,18,9,8,2,18,5,8,17,10,4,8,21,10,3,8,20,10,9,8,12,10,3,8,7,10,2,8,31,10,10,8,7,10,1,8,22,10,28,8,10,10,6,8,1,10,91,8,5,10,31,8,1,10,36,8,95,10,3,8,8,10,7,8,43,10,29,8,2,10,5,8,1,10,45,8,3,10,26,8,9,10,16,8,2,10,15,8,7,10,1,8,10,10,7,8,12,10,1,8,5,10,22,4,2,19,5,4,743,},
{4,658,8,4,7,5,14,12,7,1,8,1,7,1,14,1,17,1,6,7,7,10,14,3,17,1,16,3,17,1,14,11,7,1,8,4,10,2,8,2,18,2,8,1,10,16,8,2,15,2,18,1,8,6,15,1,14,1,3,3,14,2,3,1,14,2,8,1,10,1,8,1,14,1,16,5,14,3,16,14,17,1,14,1,16,9,14,2,16,14,14,2,16,1,3,1,14,2,15,1,8,2,14,1,16,6,14,3,16,3,14,5,8,1,9,1,8,1,14,2,16,15,17,1,16,9,14,5,16,5,14,1,10,1,8,1,16,5,14,4,16,6,14,2,15,1,14,2,16,2,14,9,16,4,14,8,8,1,10,1,8,1,14,1,16,6,17,1,16,7,14,1,8,1,10,1,8,1,15,1,16,38,14,6,16,10,17,3,16,2,17,1,14,2,15,1,14,1,16,3,14,1,3,1,14,2,8,1,10,6,8,3,10,2,8,1,18,3,8,1,10,1,8,3,10,1,8,5,18,1,15,1,3,1,14,1,15,1,8,1,10,1,9,1,15,1,14,7,15,2,14,8,15,4,14,3,3,1,14,2,15,1,14,1,3,3,16,9,14,7,15,4,14,2,15,3,14,1,16,4,14,5,16,13,17,1,14,18,15,1,8,1,10,21,8,2,18,1,15,1,8,1,10,4,14,3,15,1,8,2,15,3,8,2,10,3,8,1,18,1,14,2,3,1,14,1,15,1,8,3,15,1,14,2,8,1,10,5,8,2,15,4,14,4,15,3,14,25,3,6,14,2,3,26,14,11,3,5,14,14,3,5,14,12,8,5,18,1,15,1,14,12,3,4,14,6,3,1,14,16,15,1,18,1,15,1,14,2,15,1,8,3,18,2,15,1,18,2,8,11,18,2,15,2,8,4,18,1,15,2,18,1,8,4,18,1,8,5,18,2,15,1,18,13,14,2,18,31,8,3,18,5,8,16,10,6,8,20,10,4,8,20,10,5,8,16,10,1,8,42,10,10,8,5,10,2,8,21,10,15,8,1,10,10,8,13,10,5,8,2,10,91,8,5,10,17,8,1,10,1,8,1,10,6,8,1,10,3,8,6,10,34,8,7,10,2,8,75,10,1,8,1,10,1,8,18,10,6,8,8,10,3,8,32,10,22,8,2,10,5,8,3,10,3,8,2,10,46,8,1,10,25,8,10,10,16,8,4,10,15,8,6,10,1,8,10,10,7,8,18,10,22,4,2,19,5,4,743,},
{4,658,18,1,8,2,7,4,8,2,15,1,14,1,3,1,14,4,15,2,14,4,7,2,14,1,17,3,6,2,17,3,6,1,7,9,14,4,17,1,16,1,17,2,14,11,7,1,8,1,15,2,8,8,10,12,8,4,18,2,14,1,15,1,18,1,8,6,15,1,14,6,3,1,14,2,8,1,10,1,8,1,14,1,16,5,14,3,16,7,14,1,17,1,16,16,14,2,16,14,14,5,15,3,14,2,16,5,3,1,14,3,16,3,14,4,15,1,8,2,15,1,14,1,16,14,17,1,14,3,17,1,16,6,17,1,14,2,15,1,14,1,16,5,17,1,15,1,10,2,16,5,14,1,17,2,16,7,14,1,15,2,14,1,16,3,14,2,3,2,14,2,15,2,14,1,3,1,16,4,14,6,15,1,8,2,14,1,16,6,14,4,17,1,16,3,17,1,15,1,8,1,10,1,8,1,14,1,16,38,14,4,17,1,16,16,14,4,3,1,16,2,3,1,14,3,15,1,8,1,10,6,8,2,10,3,8,1,18,2,8,1,10,2,8,3,10,1,8,6,15,1,14,3,15,1,8,2,14,7,15,3,14,5,15,7,14,3,3,2,14,4,3,1,14,1,16,10,14,6,15,3,14,4,8,1,15,1,14,3,16,1,14,7,16,11,17,1,14,19,15,1,8,1,10,21,8,2,18,1,14,1,8,1,10,3,8,1,14,1,3,2,14,1,15,2,14,3,15,1,18,1,8,1,10,3,8,2,14,3,15,1,8,1,10,1,8,5,10,5,8,3,18,1,15,1,14,4,15,4,14,26,3,34,14,11,3,1,14,17,3,5,14,12,15,1,8,4,18,1,15,1,14,4,15,1,14,14,15,2,14,18,15,3,14,2,15,1,8,3,18,1,15,2,18,2,8,10,18,3,15,2,8,4,15,4,8,3,18,1,15,3,8,3,18,49,8,4,18,3,8,2,10,3,8,13,10,5,8,20,10,5,8,20,10,3,8,61,10,9,8,5,10,3,8,5,10,5,8,11,10,12,8,20,10,5,8,1,10,5,8,3,10,8,8,2,10,80,8,5,10,17,8,1,10,1,8,3,10,4,8,1,10,3,8,6,10,34,8,7,10,2,8,74,10,6,8,15,10,6,8,9,10,3,8,31,10,23,8,2,10,4,8,8,10,72,8,8,10,11,8,3,10,4,8,6,10,14,8,16,10,8,8,17,10,4,8,4,10,15,4,1,19,6,4,743,},
{4,653,19,3,4,2,18,3,8,1,15,1,8,4,15,1,14,1,3,1,14,3,15,1,8,1,15,1,14,7,17,6,16,1,17,2,7,9,14,5,17,2,14,11,7,3,14,1,15,2,8,6,10,13,8,1,18,5,14,1,15,1,8,7,15,1,14,8,15,1,8,1,10,1,8,1,14,1,16,5,14,1,15,1,14,1,16,6,14,1,15,1,14,1,16,16,17,1,14,1,16,14,14,4,15,3,14,1,3,1,16,5,14,5,16,3,14,2,15,2,8,2,15,1,14,1,16,13,14,7,17,1,16,5,14,2,15,1,14,2,16,5,14,1,8,1,10,1,8,1,16,15,14,4,16,3,14,1,3,1,16,2,14,2,15,2,14,2,3,1,16,2,14,2,15,2,14,3,15,3,17,1,16,5,14,6,16,3,14,1,8,1,10,2,8,1,14,1,16,19,14,1,16,18,14,4,16,17,17,2,3,2,16,3,3,1,14,3,18,1,10,5,8,4,10,3,8,1,18,2,8,1,10,2,8,11,14,3,15,1,8,1,15,1,14,1,3,1,14,3,15,4,14,5,15,2,8,3,15,3,14,12,16,9,14,6,15,3,14,4,15,2,14,6,17,1,16,1,17,1,14,2,17,1,16,10,17,1,14,19,15,1,8,1,10,10,8,2,10,10,8,1,18,1,15,1,18,1,10,3,8,1,14,1,3,3,14,6,15,1,8,1,10,5,18,1,14,2,15,1,8,1,10,3,8,3,10,4,8,4,18,1,15,1,14,4,15,3,14,28,3,40,14,4,3,1,14,17,3,6,14,12,15,4,14,5,15,1,18,1,15,1,14,2,15,1,14,9,15,1,18,2,15,1,14,1,15,5,14,11,15,3,14,2,18,1,8,3,18,2,14,1,18,2,8,10,18,1,15,4,18,1,8,2,18,1,15,1,14,1,15,2,8,3,15,5,8,3,18,5,8,3,18,4,8,2,18,12,8,1,18,1,8,7,18,13,8,9,10,4,8,13,10,4,8,9,10,2,8,9,10,5,8,5,10,2,8,14,10,1,8,65,10,6,8,4,10,4,8,5,10,5,8,14,10,1,8,1,10,2,8,24,10,12,8,3,10,8,8,2,10,14,8,1,10,65,8,5,10,17,8,3,10,1,8,1,10,6,8,9,10,18,8,3,10,11,8,7,10,3,8,74,10,6,8,1,10,1,8,8,10,11,8,10,10,2,8,9,10,4,8,7,10,2,8,9,10,23,8,3,10,3,8,7,10,73,8,1,18,4,8,2,10,11,8,4,10,3,8,2,18,3,8,5,10,11,8,15,10,7,8,2,10,2,8,14,10,5,8,1,18,3,8,1,10,14,4,1,19,5,4,744,},
{4,652,19,5,4,1,18,3,8,6,15,1,14,2,15,1,8,4,15,1,14,8,17,2,6,1,17,1,16,3,17,1,6,1,7,2,8,1,7,5,14,10,17,5,14,3,7,2,14,4,15,1,8,4,10,14,8,1,18,1,14,2,15,2,14,1,15,1,8,2,18,1,8,1,10,2,8,1,15,1,14,4,15,1,14,2,15,1,8,3,15,1,14,2,16,4,14,3,16,6,14,1,15,1,14,1,17,1,16,15,17,1,14,1,17,1,16,13,17,1,14,3,15,2,14,2,16,3,14,2,15,4,14,2,16,2,3,1,14,1,15,1,8,1,9,1,10,1,8,1,14,1,16,13,14,4,15,3,14,2,16,5,14,5,17,2,14,4,8,1,10,1,15,1,16,15,14,4,16,6,3,1,14,1,15,1,8,2,14,2,16,3,14,1,15,1,8,1,15,1,14,5,17,1,16,5,14,4,15,1,14,2,17,1,16,1,14,1,15,1,10,2,8,1,14,1,16,20,14,2,16,17,14,3,17,1,16,17,17,1,16,5,3,1,14,3,15,1,18,1,8,1,10,3,8,5,10,3,8,1,18,2,8,1,10,2,8,5,15,4,8,2,14,4,15,1,14,6,15,4,14,2,3,2,14,2,15,1,8,3,15,3,14,3,17,2,14,1,17,1,14,2,15,2,14,2,16,8,14,7,15,1,14,6,15,1,14,7,17,1,14,4,16,10,14,14,15,2,14,4,15,1,8,2,10,9,8,2,10,10,8,1,18,2,8,1,10,3,8,1,14,1,3,8,14,2,18,1,8,1,10,4,8,1,18,1,15,2,8,1,10,10,8,4,18,1,15,1,14,5,15,2,14,2,3,3,14,25,3,41,14,20,3,4,14,22,15,1,18,6,15,7,18,1,8,7,18,2,15,2,14,10,15,2,14,2,15,1,18,1,8,3,18,4,8,11,18,1,15,5,8,2,15,1,14,2,15,2,8,3,15,5,8,3,18,5,8,3,18,4,8,4,18,7,8,13,18,12,8,9,10,3,8,15,10,4,8,21,10,4,8,2,10,4,8,49,10,1,8,32,10,4,8,4,10,4,8,6,10,2,8,43,10,13,8,4,10,7,8,2,10,79,8,6,10,17,8,3,10,8,8,9,10,18,8,7,10,8,8,6,10,3,8,74,10,10,8,5,10,12,8,12,10,1,8,8,10,4,8,4,10,36,8,4,10,3,8,7,10,73,8,1,18,4,8,2,10,10,8,6,10,2,8,2,18,3,8,6,10,10,8,14,10,7,8,4,10,2,8,11,10,7,8,2,18,1,8,2,10,13,4,2,19,5,4,744,},
{4,652,19,5,4,2,18,1,8,6,15,1,14,2,15,1,8,1,10,3,8,1,15,1,14,1,17,1,14,3,7,4,6,3,16,3,17,1,6,1,7,2,8,2,7,5,14,9,17,6,14,1,7,3,14,4,8,3,10,15,8,1,18,1,14,6,15,1,18,2,15,1,18,1,10,2,8,1,15,1,14,3,15,3,14,1,15,1,8,2,15,1,14,3,16,4,14,3,16,6,14,4,16,15,17,1,14,4,17,1,16,10,17,1,14,6,16,3,3,1,14,1,8,3,15,1,14,2,3,1,16,2,14,2,8,1,10,3,15,1,14,1,16,9,17,1,16,3,14,3,15,1,8,3,15,1,14,1,16,1,17,1,16,3,14,9,15,3,8,1,14,1,16,15,14,4,16,1,14,1,3,1,16,3,14,2,8,2,15,1,14,1,3,1,16,2,3,1,14,1,15,1,8,1,15,1,14,4,17,1,16,5,14,5,15,2,14,3,15,1,9,1,10,2,8,1,14,1,16,20,14,3,16,10,17,2,14,1,17,1,16,1,14,4,3,1,16,10,17,1,16,6,17,1,16,5,14,6,18,1,10,3,8,6,10,3,8,2,10,3,8,2,18,2,15,2,14,3,15,2,14,4,15,1,14,7,15,3,14,2,3,1,16,1,3,1,14,1,15,8,14,2,17,2,16,3,14,1,15,2,14,2,17,1,16,5,14,19,15,2,14,8,16,5,17,1,16,3,17,1,14,14,15,2,14,5,18,1,8,4,10,5,8,3,10,11,8,3,10,3,8,1,15,1,14,2,3,7,14,1,15,1,8,1,10,5,8,1,18,1,15,1,8,1,10,9,8,2,18,1,8,3,15,1,14,5,15,1,14,2,3,3,14,26,3,6,14,4,3,31,14,4,3,1,14,2,3,2,14,11,3,5,14,21,15,1,18,14,8,8,18,1,15,3,14,13,18,2,8,4,18,2,8,12,18,1,15,8,14,2,15,2,8,3,18,1,15,4,8,3,18,5,8,3,18,4,8,5,18,5,8,14,18,7,8,2,18,3,8,43,18,3,8,20,10,3,8,42,10,1,8,33,10,3,8,4,10,4,8,27,10,1,8,13,10,1,8,8,10,13,8,6,10,4,8,4,10,79,8,6,10,16,8,3,10,10,8,8,10,18,8,8,10,9,8,2,10,6,8,6,10,1,8,1,10,1,8,64,10,10,8,4,10,15,8,10,10,1,8,8,10,4,8,4,10,36,8,3,10,4,8,7,10,8,8,2,10,34,8,1,10,28,8,2,18,3,8,2,10,10,8,11,18,2,8,6,10,11,8,12,10,8,8,4,10,2,8,11,10,8,8,3,10,13,4,3,19,5,4,744,},
{4,653,19,5,4,2,10,4,8,1,18,1,15,2,18,1,9,1,10,4,8,1,15,1,14,1,17,1,14,3,7,1,8,2,7,3,6,1,17,1,16,2,17,1,6,1,7,2,8,3,7,3,15,2,14,8,17,6,14,2,7,2,14,3,15,1,8,2,10,16,8,1,18,1,14,4,15,3,18,1,15,1,14,1,18,1,10,2,9,1,15,1,14,3,15,4,14,7,16,14,14,3,17,1,16,11,17,1,16,3,14,4,17,1,16,9,17,1,16,2,17,1,14,4,16,3,14,1,8,2,10,1,8,1,15,1,14,1,3,1,16,2,3,1,14,1,15,1,9,1,10,2,8,1,14,1,16,8,3,1,14,1,17,1,16,3,14,1,15,1,14,1,15,1,8,3,15,1,14,1,16,5,14,7,15,1,8,1,15,2,14,2,16,16,14,7,16,2,3,1,14,1,15,1,8,1,15,1,14,2,16,3,14,1,15,4,14,1,17,1,16,8,14,1,15,2,14,2,15,2,14,2,15,1,8,1,10,3,14,1,16,22,14,2,16,9,17,1,6,1,14,9,16,7,17,2,14,2,17,1,16,4,17,1,14,1,16,4,14,6,3,1,14,1,8,1,10,2,8,7,10,6,8,2,18,1,15,2,14,21,15,1,14,2,3,1,16,2,3,1,14,5,15,3,14,2,16,5,14,6,16,4,14,12,3,3,14,5,15,2,14,8,16,4,17,1,14,1,17,1,14,12,3,1,14,4,15,2,14,5,15,1,18,1,8,10,10,12,8,2,10,4,8,2,15,1,14,2,3,7,14,1,15,1,8,1,10,5,8,3,10,8,8,2,18,2,8,3,18,1,14,8,3,3,14,4,3,1,14,9,3,3,14,2,3,3,14,3,3,7,14,18,3,4,14,3,3,10,14,4,3,6,14,11,3,4,14,17,15,2,14,3,15,1,18,1,8,1,18,11,8,9,18,1,15,2,14,12,15,1,18,1,8,10,18,1,8,8,18,2,15,3,14,1,15,1,14,2,15,3,18,2,8,4,18,3,8,3,18,5,8,4,18,2,8,6,18,5,8,24,18,3,8,12,18,4,8,26,18,8,8,12,10,2,8,1,10,3,8,42,10,1,8,22,10,2,8,16,10,5,8,25,10,2,8,13,10,1,8,7,10,14,8,6,10,4,8,4,10,11,8,2,10,66,8,4,10,13,8,4,10,1,8,1,10,14,8,6,10,18,8,8,10,9,8,2,10,6,8,5,10,6,8,41,10,4,8,15,10,12,8,5,10,17,8,7,10,2,8,7,10,3,8,5,10,36,8,3,10,4,8,7,10,6,8,8,10,30,8,2,10,27,8,6,10,10,8,20,10,12,8,11,10,6,8,3,18,1,8,2,10,2,8,11,10,24,4,1,19,7,4,744,},
{4,653,19,6,4,1,10,4,18,4,8,1,10,5,8,1,14,5,7,2,8,3,7,2,6,1,17,1,16,2,17,2,7,2,8,6,15,2,14,13,17,1,14,3,7,1,14,3,15,1,8,2,10,17,18,1,14,3,15,1,18,1,15,2,18,1,15,1,14,1,18,1,10,2,9,1,15,1,14,3,15,4,14,1,3,1,16,1,14,2,15,1,14,1,16,15,14,3,16,10,17,2,16,4,14,3,17,2,16,7,17,2,16,3,17,1,14,2,16,2,3,1,14,1,15,1,8,3,15,1,14,2,3,1,16,1,3,1,14,2,8,1,9,1,10,1,8,1,15,1,16,8,14,3,16,4,14,4,15,3,14,1,16,6,17,1,14,5,15,2,8,1,15,1,14,2,17,1,16,10,17,1,16,5,14,7,16,2,14,2,15,2,14,2,16,4,14,1,15,3,14,2,16,8,14,1,15,3,14,3,15,1,14,1,15,1,8,1,10,3,8,1,14,1,16,11,14,2,16,10,17,1,16,9,17,1,6,1,14,1,15,1,14,8,3,1,16,4,17,1,14,5,16,3,17,1,14,2,16,3,3,1,14,1,15,2,14,2,3,3,18,1,8,1,10,3,8,3,18,2,10,5,8,2,18,2,15,2,14,3,3,2,14,13,17,2,14,2,15,1,14,2,16,3,17,1,14,4,15,3,14,1,17,1,16,6,17,2,14,2,17,1,16,3,17,1,14,10,3,5,14,9,15,3,14,3,16,3,17,1,14,15,3,1,14,4,15,2,14,6,15,2,18,1,8,8,10,11,8,3,10,4,8,2,15,1,14,3,3,1,14,4,3,1,14,2,18,1,8,1,10,6,8,1,10,8,8,2,18,2,8,3,18,2,14,7,3,3,14,4,3,1,14,6,3,6,14,1,3,5,14,2,3,7,14,19,3,3,14,4,3,8,14,6,3,6,14,13,3,1,14,11,18,3,15,2,18,3,14,3,15,1,18,14,8,7,18,1,15,3,14,12,15,1,18,1,8,10,18,3,8,6,18,2,15,3,14,4,15,2,18,5,8,4,18,1,8,3,18,7,8,9,18,6,8,24,18,3,8,11,18,3,8,1,18,1,8,25,18,4,14,1,18,1,14,1,18,4,8,13,10,3,8,65,10,4,8,13,10,6,8,5,10,2,8,15,10,10,8,9,10,6,8,1,10,10,8,1,10,3,8,5,10,4,8,5,10,81,8,1,10,4,8,15,10,16,8,5,10,19,8,7,10,9,8,2,10,17,8,40,10,5,8,12,10,4,8,1,10,1,8,1,10,7,8,7,10,21,8,1,10,3,8,15,10,13,8,1,10,22,8,3,10,4,8,7,10,6,8,8,10,30,8,2,10,27,8,5,10,10,8,21,10,17,8,6,10,5,8,4,18,1,8,2,10,1,8,11,10,24,9,1,4,1,19,7,4,744,},
{4,654,19,6,4,1,10,3,18,3,8,1,10,6,8,1,14,5,7,1,8,5,7,2,17,1,16,3,17,1,6,1,7,2,8,4,15,3,14,17,7,1,14,2,15,2,8,1,10,18,8,1,18,3,8,2,18,1,15,1,18,2,15,1,18,1,8,1,10,1,9,1,8,1,15,2,14,1,15,1,8,2,14,1,3,1,16,2,17,1,14,1,15,1,14,1,16,15,14,2,16,11,17,1,16,9,17,1,16,8,17,1,16,2,17,1,14,2,3,1,16,2,14,1,15,2,8,3,14,2,3,1,16,1,3,1,14,2,15,1,8,1,9,1,8,1,15,1,14,1,16,7,14,4,16,4,14,4,15,2,14,1,17,1,16,6,17,1,14,2,15,7,14,1,16,11,17,1,14,3,17,1,14,9,16,1,3,1,14,1,15,2,14,1,3,1,16,4,3,1,14,1,15,1,8,1,15,1,14,1,16,9,14,1,15,1,8,1,15,1,14,4,15,1,8,2,10,2,8,1,14,1,16,12,14,2,17,1,16,19,17,1,14,1,7,1,15,2,14,14,15,1,8,1,15,1,14,2,17,1,14,4,17,2,14,2,15,1,8,1,14,3,3,2,14,1,8,1,10,3,8,3,18,3,8,1,10,4,8,1,18,2,8,1,18,1,15,1,14,3,3,2,16,1,14,11,17,1,16,3,14,4,17,1,16,3,14,8,16,9,17,3,16,2,17,1,14,1,17,1,16,2,17,1,14,6,3,5,14,8,15,4,14,3,17,2,14,32,15,1,18,1,8,6,10,4,8,2,10,5,8,1,18,2,8,1,10,3,8,1,18,1,8,1,18,1,14,2,3,1,14,6,3,2,14,1,18,1,10,15,8,6,18,3,14,21,3,6,14,2,3,13,14,19,3,3,14,5,3,5,14,10,3,6,14,19,18,2,14,1,18,4,14,3,18,2,14,4,18,3,14,3,15,1,18,8,8,4,18,2,15,6,14,10,15,1,18,1,8,10,18,11,15,3,14,3,15,1,18,4,15,2,18,2,8,3,18,12,8,8,18,5,8,38,18,3,8,16,10,2,8,9,18,3,14,8,18,2,8,12,10,2,8,6,10,3,8,50,10,2,8,7,10,3,8,10,10,3,8,4,10,1,8,4,10,4,8,14,10,10,8,9,10,16,8,2,10,7,8,1,10,4,8,3,10,12,8,1,10,84,8,6,10,16,8,5,10,35,8,2,10,17,8,40,10,5,8,11,10,5,8,4,10,6,8,1,10,1,8,2,10,1,8,3,10,24,8,15,10,12,8,3,10,20,8,3,10,4,8,8,10,6,8,8,10,30,8,3,10,25,8,5,10,9,8,13,10,5,8,4,10,3,8,2,10,14,8,6,10,4,8,7,10,1,8,11,10,4,8,2,10,18,4,2,19,6,4,745,},
{4,654,19,6,4,4,18,3,8,1,10,5,8,1,15,3,14,3,7,2,8,4,7,2,6,1,17,1,16,3,17,1,14,1,7,2,8,1,15,3,14,22,15,2,8,1,10,18,8,1,18,2,8,3,18,2,8,2,18,2,8,5,15,3,9,1,8,1,14,1,16,3,14,3,17,1,16,14,14,3,16,6,14,1,16,14,17,2,16,7,17,1,16,1,17,1,14,4,16,2,14,1,15,1,8,3,15,1,14,2,3,2,14,2,15,1,8,1,9,2,8,1,14,1,3,1,16,6,14,2,15,2,14,1,16,4,14,1,15,1,14,2,15,2,14,1,16,7,14,1,15,4,14,6,16,11,14,13,16,2,14,2,15,1,14,2,16,5,14,2,15,1,8,2,14,1,16,9,14,1,15,1,8,2,15,1,14,3,15,1,8,1,10,2,8,1,14,1,16,13,14,2,16,9,17,1,16,10,17,1,14,2,15,1,14,5,15,3,14,6,15,1,8,3,15,1,14,6,16,1,17,1,14,2,8,1,15,1,14,5,18,1,10,3,8,2,18,5,8,1,10,3,8,1,18,3,8,2,15,3,14,2,3,1,16,1,14,6,16,2,14,3,16,4,14,2,15,2,14,1,17,3,14,7,16,10,17,1,16,3,14,3,16,5,14,1,15,2,14,16,15,1,14,39,18,2,8,2,18,1,8,3,10,3,8,3,10,5,8,1,14,2,18,1,10,3,8,1,15,1,18,1,15,1,14,1,3,3,14,8,15,1,8,1,10,14,8,6,18,3,14,10,3,3,14,8,3,5,14,3,3,2,14,4,3,6,14,20,3,4,14,3,3,4,14,13,3,8,14,12,15,4,18,6,14,5,18,1,14,3,15,1,18,3,14,4,18,10,15,8,18,1,15,5,14,6,15,1,18,1,8,2,18,2,8,6,18,11,15,3,14,2,15,1,18,2,8,2,18,1,15,3,18,1,8,3,18,12,8,8,18,5,8,57,10,3,8,8,18,2,14,10,18,1,8,11,10,5,8,1,10,7,8,49,10,2,8,13,10,3,8,3,10,4,8,4,10,2,8,2,10,6,8,14,10,1,8,1,10,3,8,13,10,25,8,1,10,2,8,4,10,12,8,4,10,68,8,1,10,35,8,5,10,34,8,1,10,1,8,1,10,18,8,39,10,5,8,11,10,5,8,4,10,12,8,3,10,26,8,12,10,12,8,3,10,20,8,3,10,4,8,4,10,10,8,9,10,28,8,4,10,25,8,1,18,2,8,2,10,8,8,13,10,8,8,1,10,3,8,4,10,14,8,5,10,4,8,6,10,2,8,11,10,3,8,2,18,1,8,2,10,15,4,3,19,7,4,744,},
{4,654,19,8,4,2,18,2,8,1,10,5,8,1,15,1,14,2,15,1,14,3,7,3,8,3,7,2,17,1,16,4,17,1,14,1,7,2,8,3,15,1,14,22,15,1,8,3,10,18,8,3,10,1,8,1,18,2,8,2,18,1,15,1,18,1,8,1,9,3,8,1,15,1,8,1,9,1,8,1,14,1,16,3,14,3,16,5,14,1,17,1,16,8,14,1,15,1,14,1,16,6,14,1,17,1,16,23,17,1,14,5,3,1,14,2,15,3,14,2,16,2,3,1,14,2,15,1,8,3,15,1,14,1,16,7,14,2,15,1,8,1,15,1,16,4,17,1,14,1,15,1,14,4,16,7,17,1,14,1,15,4,14,2,16,1,14,1,17,1,16,11,17,1,14,13,3,1,16,1,14,1,15,2,14,1,16,4,3,1,14,3,15,1,8,2,14,1,16,9,17,1,14,1,15,1,8,1,15,1,14,4,15,1,8,2,15,1,17,1,16,7,17,1,16,4,14,2,17,1,16,9,14,1,16,11,17,1,14,3,17,1,16,2,14,2,15,3,14,5,15,1,8,2,15,3,14,5,17,1,14,3,18,1,15,1,14,3,18,1,8,2,10,3,8,1,18,6,8,2,10,2,8,1,18,3,8,2,18,2,15,1,14,9,16,4,14,2,16,4,17,1,14,2,15,1,14,10,17,1,16,14,6,1,14,1,17,1,16,4,17,1,14,2,15,1,14,19,16,3,14,34,15,1,8,3,18,2,8,2,10,3,8,3,10,5,18,1,14,2,8,1,10,2,8,1,18,1,14,1,15,1,14,2,3,3,14,3,15,1,14,5,18,1,8,1,10,13,8,5,18,5,15,1,14,8,3,3,14,23,3,5,14,20,3,4,14,6,3,1,14,12,3,1,14,1,3,1,14,19,15,3,18,6,14,8,18,5,14,5,15,1,18,1,15,1,18,5,15,8,18,3,8,4,18,2,14,5,18,2,8,7,18,2,15,2,18,9,15,3,14,2,15,1,18,1,8,3,18,1,15,3,18,3,8,1,18,12,8,8,18,4,8,27,10,1,8,5,10,2,8,24,10,1,8,9,18,2,14,1,3,1,14,7,18,1,8,15,10,11,8,2,10,1,8,44,10,3,8,13,10,3,8,2,10,5,8,8,10,6,8,6,10,2,8,28,10,24,8,5,10,11,8,4,10,104,8,4,10,37,8,1,10,17,8,40,10,5,8,11,10,4,8,6,10,10,8,1,10,1,8,3,10,25,8,9,10,38,8,3,10,4,8,4,10,12,8,6,10,14,8,1,10,14,8,3,10,25,8,2,18,2,8,2,10,8,8,13,10,8,8,1,10,3,8,4,10,13,8,4,10,4,8,7,10,3,8,4,10,2,8,5,10,3,8,2,18,3,8,1,10,14,4,2,19,8,4,744,},
{4,655,19,7,4,2,18,1,10,5,8,1,18,1,14,9,7,7,17,1,16,2,17,1,6,1,7,2,8,6,14,22,15,1,8,3,10,18,8,4,18,3,8,2,18,1,14,2,18,1,10,2,9,1,8,4,15,1,14,1,3,1,16,2,14,3,3,1,16,3,14,3,16,8,15,1,8,1,15,1,14,1,16,5,17,1,16,24,14,2,15,1,14,1,3,1,16,1,14,1,15,1,8,2,15,1,14,2,16,3,14,3,15,1,10,2,8,1,14,1,16,7,14,2,15,1,8,2,14,1,16,4,14,7,16,7,17,1,14,1,15,1,14,3,17,1,16,15,17,1,14,4,15,2,14,10,15,2,14,1,16,5,14,2,15,2,8,1,15,1,14,1,16,10,17,1,14,1,15,3,14,2,17,2,14,2,17,1,16,7,17,2,16,4,15,2,16,8,14,2,17,1,16,7,17,1,16,5,17,1,16,4,14,3,15,5,14,6,15,2,14,2,17,1,14,6,18,1,8,1,14,2,18,1,10,4,8,2,18,7,8,1,10,1,8,4,18,3,8,3,15,2,14,5,17,1,16,6,17,3,16,3,17,1,14,8,17,1,16,1,17,4,16,20,14,7,15,2,14,13,16,5,14,35,8,4,18,1,8,2,10,2,8,4,10,4,8,2,18,2,8,1,10,2,8,1,18,1,14,5,3,2,14,2,15,3,14,4,15,1,18,1,10,12,8,5,18,9,14,7,3,2,14,13,3,1,14,2,3,2,14,5,3,6,14,1,3,1,14,18,3,2,14,7,3,1,14,22,15,4,14,13,18,2,15,1,14,9,18,2,8,1,18,2,14,16,15,6,18,1,8,7,18,1,15,1,14,4,18,1,8,4,18,4,14,3,15,1,18,10,15,2,18,27,8,5,18,5,8,9,10,2,8,59,18,2,14,5,18,5,8,2,10,4,8,1,10,1,8,16,10,1,8,1,10,3,8,45,10,1,8,9,10,1,8,9,10,5,8,9,10,6,8,4,10,3,8,29,10,23,8,4,10,2,8,2,10,8,8,4,10,11,8,2,10,91,8,4,10,53,8,1,10,2,8,37,10,6,8,22,10,4,8,1,10,11,8,1,10,1,8,6,10,17,8,6,10,39,8,12,10,14,8,3,10,15,8,1,10,41,8,7,10,8,8,13,10,7,8,5,10,16,8,4,10,4,8,7,10,4,8,3,10,4,8,5,10,3,8,2,18,2,8,2,10,10,8,2,18,1,4,1,19,8,4,745,},
{4,655,19,8,4,2,10,4,8,1,18,1,3,1,14,11,7,5,17,3,14,1,7,2,8,7,15,1,14,20,15,2,8,3,10,19,8,3,18,3,8,2,15,1,14,2,18,1,10,2,9,1,8,2,15,3,14,1,3,1,16,2,14,1,15,2,14,1,16,2,14,2,15,1,14,1,16,8,15,1,9,2,15,1,14,1,16,29,14,1,15,2,14,1,16,2,14,1,15,1,8,2,15,1,14,1,16,4,14,1,8,1,15,1,8,1,9,1,8,1,14,1,16,7,3,1,14,2,15,1,8,1,15,1,14,1,16,4,14,7,16,7,14,4,16,16,17,2,14,5,15,1,14,11,15,2,14,1,16,5,14,2,15,2,8,1,15,1,14,1,16,11,17,1,14,4,17,1,16,18,8,2,16,7,17,1,14,2,17,1,16,6,17,1,14,1,17,1,16,10,14,4,15,3,14,2,17,1,16,2,14,1,15,1,8,1,15,1,17,1,16,1,14,4,3,1,14,1,8,5,10,3,8,1,18,8,8,1,10,1,8,1,18,2,8,1,10,1,18,2,8,4,18,1,15,1,14,3,17,1,16,14,14,8,16,6,17,1,16,20,14,7,15,3,14,12,16,5,14,18,3,2,14,15,8,6,10,3,8,4,10,4,8,3,10,4,8,1,15,1,14,4,15,1,14,7,15,5,18,1,8,1,10,11,8,5,18,4,8,4,18,2,14,9,3,3,14,9,3,1,14,2,3,1,14,5,3,10,14,50,15,3,14,11,3,1,14,2,18,1,14,10,18,2,8,1,18,3,14,16,15,2,14,2,15,2,18,1,8,8,15,1,14,3,18,1,8,4,18,4,14,4,15,1,18,9,15,2,18,28,8,4,18,5,8,9,10,2,8,38,18,2,8,19,18,4,14,2,18,2,8,5,10,8,8,8,10,1,8,8,10,3,8,53,10,3,8,9,10,5,8,11,10,1,8,5,10,5,8,29,10,3,8,3,10,24,8,1,10,8,8,3,10,12,8,3,10,90,8,4,10,50,8,4,10,6,8,33,10,5,8,24,10,4,8,4,10,7,8,10,10,45,8,2,10,13,8,9,10,10,8,2,10,5,8,3,10,15,8,2,10,40,8,7,10,8,8,13,10,7,8,4,10,7,8,2,10,8,8,3,10,5,8,7,10,5,8,2,10,4,8,6,10,2,8,3,18,1,8,1,10,12,18,1,4,2,19,7,4,746,},
{4,656,19,7,4,3,10,3,8,1,18,1,3,1,18,1,8,2,15,1,14,5,17,2,6,1,14,1,7,4,6,1,7,3,8,8,14,16,7,2,15,1,7,2,15,2,8,2,10,20,8,4,18,3,15,1,14,3,18,1,10,2,9,1,8,2,15,3,14,1,3,1,16,2,14,1,8,2,15,1,14,6,16,7,14,1,15,1,10,3,15,1,16,29,14,1,15,2,14,1,16,2,3,1,14,1,8,2,14,1,3,1,16,4,14,1,8,3,15,1,14,1,16,7,14,5,15,1,14,2,16,4,14,6,16,6,14,1,17,1,14,3,16,9,17,3,16,6,14,7,16,3,14,7,15,3,14,1,16,5,14,3,15,1,8,1,15,1,14,1,16,12,17,1,14,3,17,1,16,17,17,1,8,1,15,1,16,7,17,1,14,2,16,5,17,1,14,4,16,10,3,1,14,4,15,1,14,3,16,2,17,1,14,1,15,1,8,1,15,1,17,1,16,1,14,6,8,1,10,1,8,1,10,5,8,1,15,1,14,1,18,5,10,3,8,1,18,2,8,1,10,1,8,3,10,2,8,1,18,1,14,2,3,1,16,16,14,8,16,6,17,3,16,20,17,1,16,2,3,1,14,2,15,5,14,10,16,3,17,1,14,5,3,1,14,12,3,2,14,15,18,1,8,1,10,1,8,3,10,4,8,4,10,4,8,2,10,4,8,1,15,1,14,3,15,2,14,8,15,1,8,6,10,10,8,5,18,2,8,6,18,2,14,8,3,4,14,3,3,2,14,3,3,2,14,8,3,10,14,21,3,3,14,43,18,1,14,10,18,4,15,1,14,22,15,2,18,2,8,6,18,1,14,4,18,1,8,4,18,3,14,4,15,1,18,10,15,1,18,2,15,5,18,10,8,2,18,1,8,2,18,6,8,4,18,7,8,15,10,1,8,9,10,2,8,19,18,4,8,18,18,7,8,7,10,3,8,1,10,3,8,4,10,6,8,64,10,2,8,9,10,5,8,20,10,2,8,28,10,55,8,2,10,114,8,1,10,36,8,37,10,5,8,10,10,4,8,19,10,6,8,9,10,61,8,9,10,17,8,3,10,15,8,1,10,40,8,8,10,9,8,12,10,8,8,3,10,18,8,2,10,6,8,7,10,5,8,1,10,3,8,5,10,4,8,4,10,13,4,2,19,6,4,748,},
{4,656,19,7,4,3,10,4,18,3,8,4,15,2,14,2,17,1,16,1,17,2,6,1,14,1,7,6,8,8,15,1,14,8,17,3,14,3,7,1,15,1,8,2,7,2,15,2,8,2,10,5,8,2,10,13,8,5,18,1,15,5,8,1,10,2,8,3,15,2,14,2,3,1,16,1,3,1,14,1,8,2,15,1,14,6,16,7,14,1,15,1,10,3,9,1,14,1,16,27,17,1,14,1,15,2,14,1,16,3,14,1,8,1,15,1,14,1,16,4,14,1,15,1,9,1,10,1,15,1,14,1,16,8,14,7,17,1,16,4,14,6,16,4,14,6,16,9,17,1,14,2,17,1,16,2,17,1,16,3,14,6,16,4,14,7,15,3,14,1,3,1,16,3,3,2,14,2,15,1,8,1,15,1,14,1,16,13,17,1,14,1,17,1,16,18,17,1,15,1,14,1,16,7,17,1,14,2,16,5,17,1,14,4,16,11,3,1,14,7,16,2,17,1,14,1,15,3,14,1,16,1,14,5,8,2,10,4,8,3,18,1,14,2,18,5,10,3,8,1,18,2,8,1,10,1,8,2,10,2,9,1,8,1,15,1,14,2,3,1,16,4,17,2,16,10,17,1,14,7,16,7,17,2,14,1,17,2,16,21,14,3,15,5,14,31,3,2,14,16,8,5,10,4,8,5,10,3,8,2,10,4,8,1,18,1,14,3,15,2,14,4,3,2,14,2,18,1,8,5,18,1,10,6,8,1,10,4,8,2,10,2,8,2,10,5,8,1,18,2,14,8,3,4,14,2,3,4,14,2,3,2,14,7,3,11,14,21,3,3,14,13,15,4,14,4,3,4,14,18,15,2,14,6,18,6,15,1,14,5,18,2,15,1,14,15,15,1,18,7,8,4,18,1,14,2,18,1,8,6,18,2,14,2,15,2,18,12,15,2,14,3,15,1,18,10,8,5,18,7,8,3,18,7,8,3,10,2,8,8,10,5,8,1,10,9,8,5,10,4,8,9,18,4,8,15,18,1,8,16,10,3,8,2,10,2,8,3,10,7,8,70,10,2,8,2,10,5,8,48,10,104,8,3,10,66,8,4,10,34,8,18,10,1,8,18,10,2,8,1,10,2,8,10,10,7,8,16,10,6,8,8,10,63,8,8,10,18,8,2,10,14,8,2,10,40,8,9,10,8,8,12,10,38,8,6,10,9,8,5,10,4,8,4,10,13,4,1,19,7,4,748,},
{4,656,19,8,4,2,10,1,8,2,10,1,8,1,18,2,8,6,15,1,14,1,17,7,6,1,7,5,8,7,15,1,14,8,17,3,14,3,7,2,15,2,7,2,14,1,15,2,8,1,10,5,8,3,10,11,8,6,18,2,15,1,8,4,9,2,8,3,15,2,14,2,3,2,14,2,15,2,14,4,15,2,14,2,16,6,14,1,15,1,10,3,9,1,14,1,16,27,14,4,16,3,14,1,15,3,14,1,16,4,14,1,15,1,8,1,10,1,15,1,16,9,3,1,14,6,3,1,16,4,14,6,16,3,17,1,14,5,16,10,17,1,14,1,17,2,16,2,17,2,16,1,17,1,14,6,16,4,14,7,15,2,14,3,16,3,14,3,15,1,8,2,15,1,17,1,16,6,17,1,16,1,17,3,16,23,17,1,14,2,16,8,14,1,17,1,16,5,17,1,14,3,17,1,16,11,17,1,14,6,17,1,16,3,14,1,15,2,14,2,16,1,14,4,15,1,8,1,10,4,8,3,15,1,14,2,18,4,14,2,18,1,8,3,18,2,8,7,18,1,15,1,14,2,3,1,16,3,14,4,17,1,16,12,17,1,14,3,16,8,17,1,14,3,17,1,16,21,14,2,15,6,14,7,16,1,17,1,14,21,3,1,14,10,15,3,14,2,3,2,14,1,18,3,8,2,10,2,8,2,18,2,8,2,10,2,8,2,10,5,8,1,18,1,14,3,15,1,14,9,18,1,8,2,10,1,8,3,10,5,8,2,10,15,8,2,18,1,14,3,15,1,14,4,3,5,14,1,3,5,14,1,3,1,14,6,3,13,14,28,15,1,14,6,15,4,14,7,3,10,14,19,18,3,15,1,14,7,15,1,18,3,15,1,14,14,15,1,18,4,8,1,18,2,8,4,18,4,8,2,10,1,8,4,18,5,15,1,18,14,15,2,18,5,8,3,18,5,8,3,18,17,8,2,10,3,8,12,10,12,8,4,10,3,8,10,18,4,8,13,18,2,8,22,10,3,8,2,10,7,8,67,10,5,8,2,10,5,8,5,10,2,8,33,10,1,8,6,10,174,8,4,10,20,8,1,10,13,8,17,10,2,8,18,10,1,8,13,10,9,8,14,10,7,8,3,10,1,8,4,10,64,8,6,10,19,8,2,10,14,8,2,10,39,8,10,10,9,8,9,10,40,8,6,10,9,8,2,18,1,8,2,10,4,8,3,10,3,8,1,10,9,4,2,19,6,4,749,},
{4,658,19,6,4,2,10,1,8,3,10,1,18,2,8,4,15,1,8,1,15,1,14,2,17,4,16,2,17,1,6,2,7,4,8,2,10,2,8,2,18,2,14,8,17,3,14,3,7,5,14,2,15,1,8,1,10,4,8,4,10,12,8,6,18,1,8,1,10,2,9,1,8,4,15,1,8,2,15,1,14,12,15,1,8,1,15,1,14,1,16,6,14,1,15,1,10,3,9,1,14,1,16,25,17,1,14,5,16,3,14,1,15,2,14,1,3,1,16,2,3,1,14,2,8,3,14,1,16,10,14,3,15,1,14,2,3,1,16,5,14,5,16,3,14,1,15,2,14,2,17,1,16,10,14,3,17,1,16,2,17,1,14,9,16,4,14,12,16,2,3,1,14,3,15,1,8,2,15,1,16,6,17,1,14,5,17,1,16,23,17,1,16,28,17,1,16,4,17,1,14,4,17,1,16,3,17,1,14,1,15,2,14,2,17,1,14,2,3,1,14,1,8,1,10,5,8,1,15,2,14,2,18,2,8,1,18,2,14,1,3,1,14,1,18,1,8,7,18,1,8,1,18,1,15,1,14,13,17,1,16,13,17,2,16,9,17,1,14,2,17,1,16,21,14,3,15,1,14,9,16,4,14,18,3,1,14,5,15,4,14,2,15,1,18,5,14,1,3,2,14,4,18,1,8,4,18,3,8,6,10,5,8,1,18,1,15,1,14,11,18,1,8,2,10,4,8,1,10,5,8,2,10,16,8,1,18,1,15,1,14,1,18,1,15,2,14,3,3,4,14,3,3,4,14,1,3,1,14,5,3,13,14,29,15,8,14,11,3,9,14,18,15,1,8,2,18,1,14,7,15,2,18,3,15,1,14,6,15,7,18,4,8,4,18,1,8,12,10,2,8,2,18,4,14,3,15,1,18,4,8,2,18,9,8,8,18,3,8,3,18,17,8,17,10,12,8,4,10,2,8,11,18,3,8,22,10,1,8,16,10,12,8,66,10,5,8,2,10,5,8,5,10,2,8,33,10,1,8,6,10,120,8,1,10,53,8,4,10,9,8,5,10,6,8,2,10,12,8,5,10,1,8,8,10,1,8,1,10,4,8,26,10,15,8,2,10,19,8,8,10,64,8,2,10,1,8,1,10,20,8,1,10,15,8,2,10,38,8,12,10,8,8,7,10,34,8,2,10,7,8,5,10,9,8,4,10,11,8,1,10,8,4,2,19,7,4,749,},
{4,660,19,4,4,2,10,2,8,1,10,1,8,1,18,2,8,1,10,1,8,1,15,1,14,1,15,2,14,5,6,1,17,1,16,3,17,1,6,1,14,1,7,2,8,2,10,2,8,2,18,2,14,8,17,4,14,5,7,1,14,4,8,2,10,3,8,3,10,13,8,7,10,4,8,1,15,4,8,3,15,1,14,11,15,1,8,1,15,1,14,1,3,1,16,4,3,1,14,1,15,1,10,3,8,1,14,1,16,25,14,5,16,4,14,1,8,1,15,1,14,1,3,1,16,1,3,1,14,2,15,2,8,1,15,1,14,1,16,10,14,2,15,1,8,1,15,1,14,2,16,6,14,8,15,2,14,2,16,10,17,1,14,3,17,1,16,1,17,1,14,5,17,2,14,3,16,5,14,11,16,2,3,1,14,3,15,1,8,2,15,1,16,6,14,1,15,2,14,3,17,1,16,17,17,1,14,1,17,1,16,38,17,1,14,2,16,5,14,2,15,2,14,5,3,1,14,1,8,1,10,5,8,1,15,1,14,1,15,1,18,1,8,2,10,1,8,1,18,1,14,1,3,1,14,1,18,2,8,5,18,2,15,1,14,16,17,1,16,24,14,2,17,1,16,21,14,12,17,1,16,4,17,1,14,17,3,1,14,5,18,1,8,2,18,4,8,5,18,1,14,3,18,1,14,2,18,1,8,12,10,6,8,2,15,1,14,4,3,1,14,3,15,3,8,2,10,29,8,1,18,1,15,1,14,1,18,2,15,1,14,2,3,5,14,4,3,3,14,6,3,13,14,21,15,4,14,6,15,6,14,14,3,6,14,19,15,1,8,2,18,1,14,7,15,2,18,3,15,2,14,4,15,1,18,5,15,2,18,3,8,13,10,2,8,4,10,2,8,3,18,2,15,1,14,5,18,3,8,2,18,7,8,15,18,9,8,2,18,4,8,9,10,2,8,8,10,7,8,21,18,4,8,40,10,7,8,1,10,2,8,67,10,5,8,3,10,4,8,5,10,3,8,40,10,5,8,1,10,4,8,1,10,11,8,5,10,8,8,4,10,16,8,1,10,63,8,4,10,50,8,4,10,9,8,5,10,6,8,2,10,12,8,5,10,5,8,4,10,1,8,1,10,4,8,15,10,1,8,10,10,38,8,8,10,40,8,2,10,44,8,1,10,15,8,1,10,39,8,12,10,7,8,8,10,26,8,3,10,4,8,3,10,7,8,5,10,10,8,4,10,10,8,1,10,7,4,3,19,6,4,750,},
{4,661,19,3,4,1,18,2,10,3,8,1,18,2,8,1,10,2,8,1,14,1,15,1,14,4,7,3,14,1,17,1,16,3,17,2,14,1,7,1,8,2,10,2,8,2,15,1,18,1,14,5,7,1,14,3,17,4,14,4,7,2,14,2,15,1,8,2,10,3,8,2,10,17,8,3,10,5,18,1,14,2,15,2,8,3,15,1,14,2,3,2,14,7,15,3,14,2,16,4,3,1,14,1,15,1,10,2,8,1,14,1,16,4,14,3,16,18,17,1,14,4,16,4,3,1,15,1,8,1,15,1,14,5,15,2,8,1,15,1,14,1,16,11,14,1,15,1,8,2,15,1,14,1,3,1,16,5,3,1,14,1,15,2,14,4,15,2,14,3,16,11,14,3,17,3,14,2,15,1,14,2,17,1,14,4,16,5,14,8,3,3,16,1,3,2,14,3,15,1,8,1,10,1,15,1,16,6,14,1,15,3,14,2,17,1,16,17,17,2,16,47,14,2,15,1,14,6,3,1,14,1,8,1,10,4,8,2,15,1,14,2,18,1,8,1,10,3,8,1,18,2,14,1,18,4,8,3,18,1,15,2,14,18,16,23,17,2,16,17,17,2,14,1,16,3,14,11,17,1,16,4,14,8,15,8,14,2,3,1,14,4,15,1,18,1,8,11,18,1,14,2,18,1,8,1,18,4,8,2,18,1,8,6,18,1,8,1,10,6,8,2,18,1,15,1,14,6,15,2,18,2,8,1,10,12,8,2,10,16,8,1,18,2,14,1,18,2,15,1,14,3,3,2,14,8,3,1,14,6,3,7,14,3,3,2,14,24,15,5,14,4,15,2,14,19,3,4,14,16,15,1,14,2,18,1,8,2,18,1,14,8,15,5,14,5,15,1,18,5,15,2,18,3,8,5,18,5,8,2,10,3,8,4,10,2,8,5,18,2,14,5,18,2,8,2,18,7,8,16,18,6,8,16,10,3,8,5,10,11,8,19,18,5,8,40,10,4,8,1,10,1,8,72,10,3,8,5,10,3,8,5,10,5,8,6,10,4,8,28,10,4,8,4,10,2,8,1,10,11,8,5,10,8,8,6,10,14,8,2,10,6,8,1,10,57,8,1,10,52,8,2,10,11,8,3,10,7,8,2,10,12,8,5,10,1,8,1,10,1,8,1,10,1,8,3,10,2,8,1,10,4,8,14,10,2,8,9,10,7,8,3,10,29,8,9,10,39,8,3,10,100,8,12,10,6,8,8,10,25,8,4,10,4,8,3,10,6,8,6,10,13,8,1,10,17,4,2,19,8,4,750,},
{4,664,18,1,3,2,18,1,10,2,18,4,10,2,8,1,15,2,14,3,7,2,8,1,7,2,17,1,16,3,17,1,6,1,14,1,7,1,8,2,10,1,8,3,18,1,14,4,15,3,7,1,14,2,17,3,14,5,7,2,15,3,8,2,10,29,8,1,15,1,14,3,15,1,8,4,15,1,14,1,3,1,16,1,3,1,14,2,15,1,14,3,15,1,8,1,15,1,14,2,16,4,3,1,14,1,8,1,9,1,8,1,14,1,16,5,14,3,16,6,17,1,14,1,17,1,16,7,17,3,14,4,16,5,14,1,15,2,14,4,15,3,8,1,15,1,14,1,16,10,14,2,15,1,8,2,14,2,16,6,14,2,15,2,14,3,15,3,14,1,3,1,16,12,17,1,14,1,17,3,14,2,7,1,15,2,14,5,17,1,16,5,14,4,16,1,3,1,14,1,3,1,16,4,3,2,14,3,15,1,8,1,9,1,15,1,16,6,14,1,15,2,14,2,17,1,16,66,17,1,14,2,15,1,14,8,8,1,10,4,8,2,15,1,14,2,15,1,18,1,8,1,10,2,8,2,18,3,14,2,18,6,15,2,14,17,17,1,16,22,17,2,16,17,17,1,14,2,16,4,17,2,16,2,17,1,14,1,17,1,14,4,16,4,14,5,3,2,14,2,15,4,8,2,15,1,14,2,3,1,14,5,18,1,8,12,18,1,8,4,18,3,8,2,18,1,8,8,10,7,8,2,18,1,14,4,15,5,18,1,8,1,10,6,8,2,10,4,8,1,18,2,8,1,10,13,8,2,18,1,14,2,15,3,14,13,3,2,14,5,3,7,14,3,3,1,14,26,15,2,8,1,15,2,14,43,15,5,18,1,8,1,15,1,14,18,15,1,18,5,15,2,14,1,15,1,18,2,8,4,18,5,8,3,10,2,8,5,10,2,8,5,18,2,14,4,18,2,8,2,18,11,8,12,18,5,8,17,10,4,8,2,10,13,8,18,18,6,8,40,10,4,8,64,10,2,8,8,10,2,8,6,10,3,8,5,10,5,8,5,10,6,8,27,10,4,8,4,10,14,8,5,10,8,8,6,10,14,8,2,10,5,8,2,10,124,8,1,10,23,8,3,10,4,8,5,10,2,8,2,10,4,8,12,10,4,8,7,10,8,8,3,10,19,8,1,10,8,8,10,10,39,8,4,10,99,8,10,18,1,8,1,10,6,8,8,10,1,8,2,10,22,8,4,10,4,8,3,10,6,8,5,10,32,4,2,19,7,4,751,},
{4,664,18,1,3,2,18,1,10,2,8,1,18,1,3,1,14,1,8,1,10,1,8,3,15,1,14,1,7,2,8,2,7,2,14,1,17,1,16,1,17,2,6,1,7,2,8,5,18,1,14,4,15,2,8,2,15,1,7,1,14,3,17,1,14,5,7,2,15,1,8,7,10,26,8,1,14,3,15,1,8,5,15,1,14,1,3,1,16,1,3,1,14,1,15,2,14,3,15,1,8,1,15,1,14,1,3,1,16,4,3,1,14,1,8,2,14,1,16,6,14,3,17,1,16,4,17,1,14,3,17,1,16,6,17,2,16,2,14,2,16,5,3,1,14,1,15,1,14,5,15,3,8,1,15,1,3,1,16,9,14,1,15,2,8,2,14,2,16,4,14,1,16,1,14,2,15,3,14,2,15,3,14,2,16,8,17,1,16,5,17,5,14,2,15,1,14,6,16,6,14,1,15,1,14,2,16,1,3,3,16,3,3,1,14,1,3,1,14,2,15,2,8,2,14,1,16,6,14,2,15,1,14,4,16,66,14,6,15,1,14,4,8,1,10,4,8,2,15,1,14,3,15,1,8,6,10,1,18,1,14,2,18,6,8,1,18,1,15,1,14,17,16,21,17,2,16,19,17,2,16,9,17,1,16,1,14,4,16,4,14,4,3,1,16,1,3,1,14,2,15,3,8,4,15,1,14,7,15,1,18,2,8,17,18,5,8,6,10,9,8,2,18,1,14,1,15,1,8,3,18,1,15,2,18,1,8,1,10,5,8,1,18,1,8,1,10,4,8,1,18,3,8,1,10,12,8,1,18,1,15,1,14,2,15,3,14,20,3,7,14,30,15,1,18,1,8,1,18,1,15,1,14,6,3,1,14,36,15,1,8,1,18,1,15,5,14,18,15,1,18,3,15,2,14,4,15,1,18,2,8,2,18,7,8,9,10,1,8,2,10,2,8,4,18,2,14,2,18,16,8,11,18,4,8,3,10,2,8,3,18,7,8,3,10,4,8,1,10,15,8,17,18,5,8,3,18,2,8,28,10,3,8,5,10,3,8,65,10,3,8,15,10,3,8,5,10,5,8,5,10,7,8,1,10,2,8,23,10,5,8,3,10,15,8,4,10,8,8,7,10,13,8,2,10,5,8,2,10,148,8,2,10,5,8,6,10,1,8,2,10,3,8,4,10,2,8,6,10,5,8,7,10,8,8,3,10,7,8,2,10,1,8,1,10,5,8,7,10,3,8,12,10,39,8,4,10,99,8,10,18,1,8,1,10,6,8,18,10,16,8,2,10,6,8,2,10,4,8,6,10,33,4,2,19,6,4,752,},
{4,664,18,1,3,2,18,1,10,1,8,1,10,1,18,1,3,2,18,1,8,1,10,2,8,2,15,2,8,3,7,3,6,1,17,3,14,1,7,2,8,5,18,1,14,5,15,2,8,2,15,1,7,1,14,8,7,2,15,1,8,8,10,19,8,3,10,2,9,1,18,1,14,3,15,1,8,4,15,2,14,6,15,1,14,4,15,2,14,1,3,1,16,3,3,2,14,1,8,2,3,1,16,7,3,1,14,2,17,1,14,7,17,1,16,10,17,1,16,6,14,2,15,1,14,7,15,1,8,1,15,1,3,1,16,9,14,1,8,3,15,1,14,1,16,4,14,4,15,4,14,3,15,2,14,2,16,3,17,1,16,3,17,1,14,2,17,1,16,4,17,1,16,2,17,1,14,9,16,5,14,1,15,2,14,2,16,1,14,2,3,1,16,3,14,4,15,1,8,4,14,1,16,6,14,2,15,2,14,3,17,1,16,24,14,1,3,1,16,39,17,1,14,2,16,1,17,1,14,6,8,1,10,3,8,3,15,1,14,4,18,1,8,6,18,2,14,1,18,2,14,2,15,1,18,1,8,3,15,5,14,12,17,1,16,51,17,1,14,1,17,2,14,3,17,1,16,2,14,5,3,1,16,1,3,1,14,1,15,2,8,6,15,2,14,7,15,1,18,2,8,7,18,1,8,8,18,5,8,6,10,6,8,2,10,1,8,5,10,2,8,2,15,2,18,1,8,1,10,5,8,1,18,1,8,1,10,4,8,1,18,3,8,1,10,12,8,1,18,1,14,4,15,4,14,7,15,2,14,8,3,8,14,31,15,3,14,6,3,2,14,17,3,3,14,16,18,1,8,2,18,1,15,7,14,16,15,1,14,1,15,2,14,6,18,3,8,1,18,4,8,2,18,3,8,10,10,4,8,3,18,19,8,10,18,4,8,3,10,4,8,2,18,6,8,5,10,2,8,2,10,25,8,8,18,2,8,5,18,2,8,28,10,3,8,5,10,3,8,65,10,3,8,15,10,4,8,4,10,2,8,8,10,12,8,21,10,6,8,2,10,31,8,3,10,20,8,2,10,140,8,3,10,1,8,1,10,10,8,7,10,1,8,1,10,3,8,4,10,4,8,3,10,5,8,8,10,17,8,7,10,2,8,9,10,1,8,11,10,41,8,3,10,100,8,11,10,7,8,18,10,24,8,2,10,3,8,6,10,13,8,1,10,7,8,1,10,12,4,2,19,6,4,752,},
{4,664,18,1,3,1,18,1,10,2,8,3,3,2,14,1,8,1,10,2,8,1,15,2,7,8,6,1,17,2,6,1,7,2,8,4,18,2,14,6,15,1,8,3,7,1,14,9,7,1,15,1,8,4,15,1,8,3,10,18,8,7,18,1,14,2,15,1,8,2,15,5,14,4,15,3,14,7,16,3,3,1,14,2,15,1,9,1,15,1,16,10,14,6,15,2,14,2,16,10,17,1,16,5,14,2,15,2,14,7,15,1,8,2,3,1,16,9,14,1,8,2,15,1,14,1,3,1,16,4,14,4,15,2,14,8,16,4,17,2,16,1,14,2,15,1,14,2,16,9,14,7,17,1,16,4,14,2,15,1,14,7,16,3,14,4,15,1,8,1,9,2,8,1,14,1,16,6,14,2,15,2,14,3,17,1,16,24,14,2,16,5,14,4,16,35,14,6,8,1,10,1,8,6,14,4,15,1,18,1,8,6,18,4,14,1,3,1,14,1,15,1,18,1,8,7,15,3,14,12,16,49,14,3,16,2,17,2,14,8,3,2,14,2,15,1,18,1,8,7,18,1,15,2,14,6,18,1,8,19,18,2,8,6,10,6,8,4,10,3,8,1,10,4,8,4,10,5,8,2,18,1,8,1,10,4,8,1,18,2,8,1,10,12,8,2,18,1,14,6,15,3,14,3,15,1,14,2,15,3,14,6,3,10,14,30,15,1,14,3,3,3,14,20,3,4,14,5,3,2,14,9,15,1,8,2,15,2,14,3,15,3,14,26,18,7,8,3,18,4,8,10,10,5,8,3,18,12,8,12,18,6,8,4,10,4,8,2,18,2,14,1,18,3,8,10,10,18,8,1,10,5,8,15,18,3,8,22,10,1,8,4,10,4,8,3,10,4,8,83,10,3,8,5,10,3,8,10,10,9,8,10,10,2,8,9,10,7,8,2,10,31,8,2,10,19,8,3,10,125,8,10,10,5,8,5,10,6,8,19,10,13,8,8,10,6,8,2,10,7,8,29,10,44,8,3,10,39,8,2,10,60,8,10,10,6,8,19,10,24,8,2,10,3,8,4,10,6,8,2,10,6,8,4,10,5,8,1,10,12,4,1,19,7,4,752,},
{4,664,18,1,3,1,18,1,10,1,8,3,10,1,18,1,3,1,14,1,15,1,8,2,15,1,14,5,7,2,8,1,7,2,17,1,16,2,17,1,14,1,7,1,8,3,15,2,18,1,14,2,3,2,14,3,15,1,8,2,7,2,14,1,17,5,14,3,15,7,8,2,10,17,8,1,18,1,15,2,18,4,15,4,8,2,15,1,14,7,15,1,8,2,15,1,14,1,3,6,16,2,3,1,14,3,15,1,9,1,15,1,3,1,16,9,17,1,14,8,17,1,16,10,17,1,16,4,17,1,14,1,15,1,8,1,15,1,14,7,8,2,15,1,3,1,16,9,14,1,15,2,14,2,16,5,14,1,15,1,14,2,15,1,14,9,16,5,14,3,15,2,14,2,16,9,17,1,14,7,17,2,14,3,15,2,14,2,3,1,14,4,16,2,3,1,14,1,15,3,8,1,9,1,10,2,8,1,15,1,16,5,17,1,14,2,15,3,14,2,17,1,16,23,3,1,14,2,16,4,14,6,16,34,14,2,3,2,14,1,15,1,8,2,18,2,8,4,14,3,15,1,8,7,18,3,8,1,18,1,3,2,14,2,15,1,18,2,8,1,15,1,8,5,15,4,14,9,16,49,14,3,16,3,17,1,14,7,3,3,14,2,15,1,8,10,18,3,14,4,18,1,8,22,10,2,8,2,10,6,8,6,10,8,8,2,10,6,8,3,10,4,8,1,10,16,8,1,18,2,14,7,15,2,14,2,15,2,14,2,15,3,14,6,3,11,14,22,3,2,14,3,15,2,14,2,3,4,14,21,3,3,14,5,3,3,14,9,15,5,14,3,15,3,14,13,15,1,14,11,18,8,8,3,18,4,8,10,10,6,8,4,18,10,8,10,18,7,8,5,10,4,8,2,18,5,8,2,10,3,8,6,10,10,8,2,10,6,8,1,10,6,8,14,18,5,8,20,10,1,8,4,10,4,8,3,10,4,8,84,10,1,8,6,10,3,8,6,10,1,8,8,10,6,8,18,10,8,8,3,10,30,8,1,10,3,8,1,10,1,8,1,10,11,8,4,10,1,8,1,10,66,8,1,10,1,8,2,10,17,8,2,10,36,8,10,10,5,8,3,10,6,8,22,10,12,8,7,10,6,8,4,10,6,8,10,10,1,8,15,10,47,8,3,10,39,8,1,10,61,8,10,10,7,8,12,10,35,8,3,10,7,8,2,10,7,8,3,10,18,4,1,19,5,4,754,},
{4,664,18,3,10,1,8,3,10,1,8,1,14,3,8,2,14,4,17,2,6,1,14,1,7,3,17,1,16,2,17,1,7,1,8,3,15,3,18,1,14,1,3,3,14,3,7,1,15,2,7,1,14,2,17,1,16,3,17,1,6,1,14,3,15,6,8,2,10,16,8,2,18,1,14,7,15,2,8,2,15,1,14,1,3,1,14,3,15,1,14,1,15,1,8,1,9,2,8,1,14,1,3,5,16,4,3,1,14,2,15,1,8,1,15,1,3,1,16,15,17,1,14,1,17,1,16,16,14,1,15,1,8,2,15,1,14,6,15,1,8,2,15,1,3,1,16,8,14,5,3,1,16,4,17,1,14,1,15,3,14,2,3,2,14,5,16,6,14,2,15,1,8,1,15,1,14,1,17,1,16,9,17,1,14,15,16,1,14,2,15,1,14,2,3,2,14,2,15,2,8,2,9,1,10,1,9,1,8,1,14,1,16,5,14,2,15,3,8,1,15,1,14,1,17,1,16,23,14,1,15,1,14,1,16,4,14,6,17,1,16,22,17,2,16,9,14,2,16,2,14,1,15,1,8,2,15,1,14,1,15,1,8,2,15,1,14,3,18,1,8,7,18,3,8,1,18,1,14,1,3,1,14,3,15,3,14,1,15,1,8,2,10,1,8,3,15,3,14,1,15,1,14,5,17,1,16,49,14,3,17,1,16,1,14,7,3,5,14,2,15,1,18,1,8,3,18,2,8,7,18,2,14,2,18,1,8,2,10,2,8,8,10,6,8,3,10,12,8,2,18,1,8,2,10,15,8,2,10,5,18,1,8,1,10,15,8,2,18,2,14,10,15,3,14,3,15,1,18,1,15,1,14,2,15,1,14,3,3,11,14,21,3,2,14,2,15,2,14,3,3,4,14,22,3,2,14,5,3,3,14,18,15,2,14,7,15,2,14,13,15,1,14,1,18,7,14,1,18,2,8,2,18,5,8,12,10,4,8,3,18,3,8,2,18,5,8,4,10,1,8,4,18,7,8,4,10,5,8,3,18,3,8,3,10,4,8,6,10,10,8,3,10,3,8,8,10,1,8,13,18,3,14,1,18,3,8,19,10,1,8,4,10,4,8,3,10,4,8,6,10,4,8,80,10,4,8,1,10,6,8,8,10,6,8,14,10,12,8,4,10,6,8,2,10,24,8,5,10,10,8,4,10,67,8,2,10,20,8,2,10,37,8,9,10,5,8,2,10,1,8,1,10,5,8,22,10,12,8,7,10,6,8,4,10,5,8,10,10,3,8,8,10,2,8,1,10,3,8,1,10,46,8,2,10,40,8,1,10,9,8,1,10,51,8,9,10,7,8,11,10,30,8,1,10,6,8,3,10,6,8,4,10,7,18,2,8,1,9,1,10,8,9,1,8,1,10,5,4,2,19,5,4,754,},
{4,664,18,3,10,1,8,3,10,1,8,1,18,1,3,1,14,1,8,2,14,4,17,1,16,2,17,1,14,1,7,1,6,1,16,3,17,1,7,1,8,3,15,1,14,2,18,1,14,1,3,2,14,4,7,3,14,2,17,1,16,4,17,1,14,4,15,6,8,2,10,16,8,2,18,1,14,3,3,2,14,2,15,2,8,2,15,1,3,3,14,2,15,3,8,3,15,1,14,5,3,1,16,5,3,1,14,1,15,2,14,1,3,1,16,34,14,1,15,1,8,3,15,1,14,4,15,1,8,3,15,1,14,1,16,5,14,6,16,3,17,1,14,1,3,1,16,1,3,1,14,1,15,1,8,1,15,1,14,1,16,3,14,5,16,6,14,1,15,1,8,2,15,1,14,1,16,9,17,1,14,15,17,2,14,2,15,2,14,1,3,2,14,2,15,1,8,4,9,1,8,1,15,1,14,1,16,5,14,2,15,1,8,4,15,1,17,1,16,23,15,2,14,1,16,4,14,7,16,21,17,1,14,3,17,1,16,4,14,1,17,1,14,3,16,2,14,1,15,1,9,1,8,1,15,1,14,1,15,3,14,4,18,1,8,8,18,2,8,2,14,1,3,1,14,8,15,1,8,1,10,3,8,1,18,1,15,6,14,2,3,1,16,50,17,1,14,7,15,1,14,3,3,1,16,1,3,3,14,3,15,1,8,2,18,1,15,1,18,1,8,2,10,3,8,3,18,1,14,2,18,1,8,1,10,4,8,3,10,10,8,3,10,12,8,2,18,1,8,2,10,21,8,1,18,2,10,8,9,1,8,1,10,5,8,1,18,3,14,10,15,1,18,1,15,1,14,3,15,1,18,1,15,1,14,2,18,1,15,1,14,2,3,11,14,24,15,3,14,2,3,3,14,31,3,3,14,3,3,2,14,21,15,4,14,12,15,1,18,7,14,3,18,6,8,1,18,5,8,10,10,3,8,3,18,2,8,2,18,5,8,3,10,3,8,3,18,6,8,4,10,6,8,7,10,5,8,7,10,10,8,22,18,3,8,2,18,2,14,5,18,1,8,24,10,4,8,3,10,4,8,6,10,4,8,41,10,4,8,15,10,3,8,4,10,2,8,11,10,11,8,8,10,4,8,11,10,1,8,4,10,12,8,1,18,1,8,2,10,5,8,4,10,21,8,8,10,3,8,2,10,4,8,4,10,89,8,4,10,37,8,5,10,7,8,1,10,8,8,22,10,12,8,7,10,5,8,19,10,7,8,2,10,8,8,3,10,45,8,2,10,40,8,2,10,7,8,3,10,51,8,8,10,7,8,11,10,14,8,1,10,14,8,2,10,5,8,4,10,5,8,4,10,8,4,3,18,2,10,1,18,2,4,2,10,2,18,1,10,1,8,1,10,4,4,2,19,5,4,754,},
{4,665,18,2,10,1,8,3,10,2,18,1,3,1,14,1,15,1,8,1,14,2,15,1,14,1,17,1,16,3,17,1,6,1,17,1,16,4,14,1,7,1,8,1,15,3,14,1,18,1,14,1,3,2,14,4,7,3,14,2,17,1,16,3,17,2,14,4,7,1,15,3,8,4,10,16,8,1,18,1,14,2,3,6,14,1,15,1,8,2,15,1,14,1,3,1,14,2,15,2,8,4,15,1,14,4,15,2,14,1,16,6,14,5,16,6,3,2,16,11,17,3,16,12,14,1,15,1,8,3,15,5,8,4,14,1,16,5,14,2,15,3,14,2,16,3,14,6,15,2,14,1,3,1,16,3,14,6,3,1,16,4,14,2,15,2,14,2,16,9,17,1,14,10,17,2,14,1,17,1,16,2,14,3,8,1,15,1,14,1,3,2,14,3,15,1,8,4,14,2,16,5,14,2,15,1,8,2,10,2,8,1,15,1,17,1,16,22,14,1,8,2,14,1,16,5,14,6,16,20,17,1,14,5,17,1,16,2,17,1,14,5,16,1,3,1,14,1,8,1,10,1,8,1,15,1,14,8,18,1,8,3,18,1,8,2,10,1,8,1,14,2,8,2,18,1,14,1,18,2,15,1,14,6,15,1,10,2,8,2,18,1,15,5,14,3,16,51,17,1,14,5,15,4,14,1,3,1,16,2,3,1,14,1,3,2,14,3,15,5,18,1,8,1,10,4,8,3,18,3,8,1,10,4,8,3,10,10,8,4,10,11,8,2,18,2,8,2,10,20,18,3,10,5,9,2,8,1,18,2,10,4,8,2,18,2,15,1,14,10,15,2,14,4,15,1,18,2,15,4,14,2,3,3,14,1,3,7,14,4,3,1,14,18,15,3,14,2,3,2,14,42,15,1,14,29,3,1,14,3,15,1,18,9,14,4,18,4,8,2,18,5,8,21,18,4,8,18,10,6,8,6,10,7,8,3,10,17,8,19,18,3,8,2,18,2,14,5,18,2,8,23,10,4,8,3,10,4,8,6,10,4,8,43,10,2,8,15,10,1,8,6,10,3,8,11,10,10,8,8,10,2,8,1,10,1,8,1,10,3,8,11,10,13,8,4,10,4,8,5,10,21,8,14,10,2,8,6,10,88,8,4,10,19,8,2,10,17,8,2,10,7,8,2,10,9,8,23,10,10,8,8,10,6,8,16,10,7,8,1,10,12,8,1,10,46,8,1,10,50,8,3,10,52,8,6,10,8,8,11,10,19,8,3,10,7,8,1,10,4,8,1,10,1,8,4,10,6,8,3,10,4,8,1,10,2,9,1,4,13,18,1,8,1,10,4,4,2,19,5,4,754,},
{4,666,18,1,8,1,10,2,18,1,10,2,7,1,17,1,16,1,14,1,7,1,8,3,14,1,17,1,16,2,17,4,16,4,14,2,15,4,14,3,3,2,14,4,7,4,14,2,16,3,17,2,14,2,7,4,15,1,8,3,10,18,8,1,18,1,14,1,3,5,16,2,3,1,14,1,15,3,14,2,15,4,8,3,15,1,14,4,15,3,14,1,16,6,3,1,14,4,16,6,14,1,3,1,16,11,14,3,16,12,14,2,15,1,8,2,15,2,8,6,15,1,14,1,16,5,14,2,15,1,8,2,15,1,17,1,16,3,14,4,15,3,14,1,3,1,16,4,14,8,16,3,17,1,14,5,16,10,14,5,15,2,14,3,3,7,14,1,15,1,8,2,15,1,14,1,16,2,14,3,15,1,8,2,14,1,16,6,14,2,15,2,8,1,10,4,15,1,16,23,14,1,8,2,15,1,16,5,14,5,16,19,17,1,14,7,17,1,16,3,17,1,14,3,17,1,16,1,14,1,15,1,8,1,10,2,15,1,14,8,8,1,10,2,8,5,18,1,14,1,18,1,8,1,9,1,8,1,18,1,8,2,15,3,14,5,8,2,18,1,15,5,14,5,3,1,16,45,17,2,16,3,14,5,15,4,14,2,16,2,3,1,14,2,3,2,14,4,15,3,18,1,8,4,10,1,8,8,10,5,8,2,10,10,8,5,10,10,8,1,18,3,8,2,10,19,9,1,18,3,10,4,8,1,18,5,10,4,8,2,18,1,15,1,14,18,15,1,8,1,15,2,14,8,3,6,14,20,3,2,14,2,15,1,8,1,15,1,14,1,3,3,14,34,15,4,14,3,18,2,14,3,3,1,14,7,15,1,14,20,15,13,14,1,15,3,18,5,15,2,18,1,8,36,10,6,8,3,10,4,8,8,10,7,8,2,10,18,8,24,18,2,14,5,18,1,8,16,10,2,8,6,10,3,8,3,10,6,8,6,10,5,8,40,10,2,8,6,10,2,8,14,10,6,8,9,10,6,8,9,10,2,8,3,10,8,8,6,10,15,8,2,10,6,8,5,10,19,8,11,10,2,8,3,10,2,8,8,10,20,8,2,10,66,8,2,10,18,8,4,10,16,8,2,10,4,8,4,10,8,8,18,10,2,8,5,10,3,8,3,10,5,8,8,10,9,8,13,10,1,8,7,10,97,8,3,10,11,8,1,10,53,8,5,10,8,8,3,10,3,8,3,10,1,8,1,10,10,8,3,10,2,8,5,18,2,10,10,8,3,10,4,8,3,10,9,8,3,10,2,9,1,4,14,10,4,4,4,19,3,4,755,},
{4,666,18,2,8,1,10,1,18,1,10,2,8,1,14,1,16,1,17,1,7,1,8,1,10,1,8,1,14,1,17,7,16,5,14,8,3,1,17,1,14,4,7,2,8,1,15,1,7,1,14,1,17,5,6,1,14,1,7,4,8,3,10,3,8,2,10,14,8,1,18,1,14,1,3,6,16,1,3,1,14,1,15,1,14,3,15,1,8,2,15,2,9,2,8,1,15,1,14,4,15,3,14,1,3,1,16,5,3,1,14,3,15,1,14,1,16,4,3,1,14,1,17,1,16,10,17,1,14,3,16,12,17,1,14,2,15,1,8,5,15,2,8,1,15,1,14,1,16,6,14,2,8,3,15,1,14,1,16,3,14,3,15,3,14,2,16,4,14,5,15,2,14,2,16,2,14,2,17,2,14,3,16,4,14,1,17,1,16,4,14,5,15,3,14,2,3,6,14,2,15,1,8,2,15,1,3,1,16,2,14,3,15,1,9,1,8,1,14,1,16,6,14,1,15,1,8,3,10,3,8,1,14,1,16,23,14,1,8,2,15,1,16,5,17,1,14,3,16,9,17,1,14,1,17,1,16,8,17,1,14,2,17,2,14,3,17,1,16,3,17,2,14,1,17,1,16,1,17,1,14,1,8,1,10,3,15,1,14,4,7,3,15,1,8,1,10,2,8,6,18,2,8,1,9,1,8,5,15,5,14,2,15,2,14,2,15,2,18,1,15,1,14,3,3,3,16,46,17,2,16,2,14,5,15,4,14,2,16,3,14,9,15,4,8,7,10,22,8,2,18,2,8,2,10,9,8,1,18,5,8,1,10,19,18,3,10,4,18,5,8,1,10,3,8,3,18,1,14,15,3,1,14,3,15,4,14,7,3,5,14,22,3,1,14,3,15,3,14,1,3,3,14,33,15,2,8,2,15,3,18,3,14,32,15,4,14,2,15,10,18,2,15,6,8,30,18,3,8,3,10,8,8,14,10,5,8,3,10,18,8,4,10,5,8,17,18,2,14,3,18,2,8,16,10,2,8,6,10,5,8,1,10,7,8,9,10,1,8,48,10,2,8,14,10,6,8,10,10,3,8,10,10,2,8,4,10,9,8,5,10,9,8,2,10,12,8,4,10,20,8,6,10,4,8,1,10,3,8,14,10,18,8,3,10,84,8,6,10,14,8,3,10,4,8,5,10,6,8,19,10,3,8,3,10,4,8,3,10,22,8,22,10,3,8,1,10,92,8,3,10,65,8,5,10,8,8,3,10,3,8,6,10,9,8,3,10,2,8,4,18,3,10,10,8,3,10,4,8,4,10,7,8,4,10,2,9,1,4,15,10,3,4,762,},
{4,659,19,4,4,3,18,3,10,4,8,1,14,1,17,1,14,1,7,1,8,1,10,1,8,1,7,1,14,1,17,4,16,7,17,1,14,7,3,2,14,4,7,2,15,2,7,2,14,1,6,1,17,2,16,1,17,1,14,1,7,4,8,3,10,3,8,2,10,15,8,1,14,1,3,4,14,2,3,1,14,6,15,1,9,2,8,2,9,2,8,1,15,1,14,2,3,2,14,5,3,1,16,1,3,4,14,2,15,2,14,1,3,1,16,3,3,1,14,1,3,1,16,11,14,3,16,4,17,1,16,7,17,1,14,2,15,1,8,3,15,4,8,1,15,1,14,1,16,6,14,2,15,4,14,1,16,2,3,1,14,4,15,2,14,2,16,3,14,2,15,1,14,3,8,2,14,2,16,2,14,2,17,1,16,2,17,1,14,1,16,3,14,2,16,5,14,4,15,3,14,2,3,1,16,2,3,2,14,4,15,1,8,1,15,1,14,1,16,3,3,1,14,2,15,1,8,1,15,1,17,1,16,5,3,1,14,1,15,1,8,2,10,4,8,1,14,1,16,22,17,1,15,1,8,2,15,1,17,1,16,4,17,1,14,3,16,8,14,4,16,8,17,1,14,2,16,2,17,1,14,1,17,1,16,5,17,2,16,1,17,1,14,2,8,1,10,2,8,1,15,1,14,1,17,2,14,1,7,3,15,1,8,7,10,1,8,2,18,1,8,2,18,3,15,5,8,2,15,2,8,1,18,1,15,6,14,3,3,3,16,40,17,2,16,4,17,1,16,3,14,4,15,3,14,4,16,3,14,7,15,8,8,4,10,23,8,2,18,2,8,2,10,9,8,1,18,1,15,2,14,2,18,1,8,1,10,19,18,3,9,1,10,2,8,3,10,1,8,1,10,4,8,3,18,1,14,19,15,4,14,6,3,6,14,7,3,2,14,16,15,3,14,2,3,3,14,33,15,6,18,3,15,1,14,4,18,1,15,1,14,10,15,1,14,15,15,4,14,3,15,18,8,35,10,8,8,12,10,5,8,4,10,18,8,27,18,4,14,1,18,2,8,16,10,1,8,8,10,4,8,2,10,6,8,9,10,1,8,48,10,2,8,31,10,1,8,10,10,3,8,4,10,9,8,16,10,12,8,3,10,36,8,14,10,18,8,1,10,22,8,3,10,61,8,5,10,14,8,4,10,3,8,5,10,2,8,1,10,2,8,7,10,6,8,8,10,3,8,2,10,5,8,1,10,24,8,30,10,4,8,2,10,150,8,4,10,8,8,3,10,3,8,3,10,1,8,3,10,9,8,2,10,2,8,4,18,3,8,1,10,9,8,3,10,4,8,4,10,7,8,4,10,3,4,8,19,5,4,3,10,2,4,762,},
{4,658,19,5,4,3,18,1,3,1,18,2,10,3,8,1,7,1,14,2,7,1,8,3,7,1,14,1,17,4,16,8,17,1,14,13,7,1,15,2,8,1,7,2,14,2,17,1,16,2,6,1,7,4,8,9,10,14,8,1,14,1,3,1,16,2,3,1,14,6,3,1,14,2,8,1,10,2,9,1,8,3,15,2,14,3,3,1,14,10,3,1,14,1,15,1,8,1,15,1,14,1,3,1,16,2,3,1,14,2,3,1,16,2,14,4,16,5,14,3,16,3,17,1,14,1,16,9,14,2,15,1,8,2,14,3,15,1,8,1,15,1,14,1,16,6,14,2,15,3,14,3,3,1,14,4,15,3,14,1,3,1,16,3,14,1,15,3,14,2,8,2,14,2,16,2,14,2,16,4,14,1,17,1,16,2,14,2,16,5,14,3,15,4,14,2,16,4,3,1,14,3,15,1,8,2,15,1,3,1,16,3,3,1,14,1,15,3,14,1,16,6,14,4,15,1,8,1,10,2,9,1,14,1,16,23,14,1,15,3,14,1,16,5,14,3,17,1,16,7,17,1,14,4,16,13,14,2,17,1,16,8,17,1,14,1,15,1,8,1,10,2,8,1,15,1,14,1,16,2,14,4,15,1,8,7,10,2,8,1,18,2,15,1,14,5,15,1,14,2,15,1,8,4,15,7,14,3,3,1,14,1,3,3,16,37,17,1,14,2,16,5,17,1,16,2,14,3,15,3,14,4,3,1,16,4,3,1,14,4,15,11,18,1,8,1,10,6,8,2,10,16,8,1,18,3,8,1,10,9,8,2,15,1,14,4,18,1,8,1,10,18,18,5,9,1,10,8,8,3,18,2,14,20,15,3,14,4,3,7,14,7,3,4,14,14,15,3,14,2,3,3,14,35,15,5,18,3,15,1,14,2,18,2,8,2,15,1,14,1,3,2,14,6,15,3,14,13,15,3,14,4,15,13,14,3,15,4,8,1,18,2,8,14,10,2,8,14,10,7,8,11,10,6,8,5,10,6,8,40,18,5,8,28,10,2,8,1,10,6,8,59,10,1,8,43,10,3,8,5,10,8,8,16,10,2,8,1,10,45,8,2,10,1,8,4,10,2,8,8,10,6,8,2,10,33,8,2,10,1,8,1,10,36,8,5,10,20,8,3,10,16,8,2,10,11,8,9,10,9,8,6,10,3,8,2,10,31,8,29,10,3,8,4,10,17,8,1,10,125,8,3,10,5,8,2,10,8,8,3,10,3,8,3,10,1,8,4,10,11,8,2,7,1,18,5,10,10,8,3,10,5,8,3,10,7,8,5,10,2,4,8,19,6,4,2,10,2,4,762,},
{4,658,19,5,4,3,18,1,3,2,18,1,10,3,8,1,7,1,14,3,15,1,8,1,15,1,7,1,14,1,17,4,16,9,14,13,7,1,15,2,8,1,15,1,7,1,14,2,17,1,16,2,6,1,14,1,7,2,15,3,8,8,10,13,8,1,18,1,3,2,16,1,3,1,14,6,3,1,14,2,8,1,10,2,9,1,15,2,14,17,3,1,14,1,8,2,14,1,16,4,14,3,16,5,14,2,16,6,14,1,17,1,16,4,14,1,16,9,17,1,14,2,15,2,14,3,15,2,14,1,16,5,17,1,14,2,15,3,14,9,15,1,8,1,15,1,14,1,16,4,14,1,15,2,14,3,15,2,14,1,16,3,14,2,16,4,14,2,16,1,14,3,16,5,14,2,15,5,14,2,3,1,16,3,3,3,14,1,15,1,8,2,14,1,3,1,16,4,14,1,15,2,14,2,16,5,14,6,15,1,8,3,14,1,16,11,17,1,14,2,17,1,16,7,17,1,14,4,17,1,16,5,14,3,16,8,14,1,15,2,14,2,16,5,17,2,16,6,14,2,16,9,14,2,15,1,8,1,10,1,8,2,15,1,14,1,16,2,14,4,15,1,8,1,15,2,8,4,10,3,18,1,14,4,3,2,14,5,15,7,8,3,15,1,14,8,3,1,16,36,14,3,17,1,16,3,17,4,14,2,15,4,14,3,3,1,16,5,3,1,14,5,15,2,14,3,15,5,18,2,8,1,10,5,8,2,10,10,8,2,10,4,8,1,18,3,8,1,10,10,8,1,15,1,14,5,8,1,10,18,18,1,14,1,3,1,18,2,10,9,8,1,18,1,8,1,18,1,15,1,14,13,15,11,14,3,3,5,14,9,3,3,14,13,15,2,8,1,15,1,14,2,3,4,14,33,15,1,14,1,15,4,8,1,18,4,15,2,18,1,8,3,15,1,14,2,3,2,14,5,15,4,14,24,15,9,14,2,15,4,18,4,8,13,10,4,8,1,10,2,8,9,10,5,8,9,10,10,8,5,10,6,8,17,10,4,8,1,10,1,8,18,18,3,8,29,10,2,8,2,10,4,8,60,10,1,8,52,10,6,8,5,10,2,8,8,10,4,8,1,10,45,8,6,10,4,8,7,10,6,8,2,10,71,8,9,10,68,8,5,10,3,8,3,10,34,8,26,10,3,8,4,10,18,8,1,10,124,8,4,10,4,8,2,10,8,8,3,10,4,8,1,10,2,8,5,10,10,8,2,7,1,18,5,10,10,8,3,10,5,8,3,10,7,8,5,10,2,4,6,19,8,4,2,10,2,4,762,},
{4,658,19,5,4,3,18,2,3,2,18,1,10,1,8,2,7,1,14,5,7,1,14,3,17,5,16,1,17,1,16,5,17,1,14,12,15,4,7,2,14,2,17,1,16,2,17,1,14,2,7,1,15,8,8,4,10,13,18,1,14,1,3,3,14,6,3,1,14,2,8,1,9,2,8,1,15,1,14,12,15,1,14,5,3,1,14,1,8,2,14,1,16,4,14,3,3,1,16,5,14,1,16,14,17,1,16,8,17,1,14,8,17,1,16,4,14,2,15,4,14,4,3,1,14,4,15,1,8,2,14,1,16,5,14,1,15,2,14,6,16,3,14,2,16,4,14,6,16,5,14,1,15,1,8,1,15,3,14,3,3,1,16,4,3,1,16,1,3,1,14,1,8,2,14,1,16,5,14,1,15,2,14,1,16,4,3,1,14,4,16,3,17,1,14,3,16,12,14,3,17,1,16,7,14,1,15,1,14,1,17,1,16,8,17,1,16,9,14,2,15,1,14,2,16,5,17,1,16,6,14,3,16,9,14,2,8,5,15,1,14,2,17,1,14,5,8,1,15,1,18,1,8,3,10,4,18,1,14,1,3,3,16,2,3,1,14,8,15,3,8,5,15,1,14,6,3,2,16,35,14,4,16,2,17,1,14,6,15,1,8,1,15,2,14,2,3,1,16,6,3,1,14,5,15,1,14,3,15,6,14,2,18,1,8,1,10,16,8,2,10,5,18,3,8,1,10,10,8,1,18,1,14,1,3,1,14,3,18,1,8,1,10,17,18,1,3,2,18,1,8,1,10,9,8,1,18,2,15,1,14,14,15,1,8,3,15,8,14,2,3,2,14,7,15,1,18,1,15,1,14,2,3,2,14,12,15,2,18,2,15,1,14,2,3,3,14,33,15,4,14,1,15,4,18,8,8,2,15,1,14,3,3,2,14,6,15,2,14,24,15,15,18,4,8,11,10,11,8,7,10,3,8,11,10,6,8,2,10,4,8,4,10,4,8,16,10,8,8,28,18,2,8,1,18,2,8,21,10,5,8,113,10,5,8,5,10,3,8,6,10,51,8,4,10,4,8,5,10,8,8,3,10,6,8,3,10,63,8,10,10,67,8,5,10,2,8,4,10,36,8,24,10,2,8,5,10,143,8,4,10,4,8,1,10,4,8,3,10,1,8,4,10,4,8,1,10,3,8,5,10,8,8,3,7,1,18,1,8,3,10,3,18,1,10,5,8,2,10,18,8,5,10,2,4,6,19,8,4,766,},
{4,658,19,4,4,4,10,1,8,1,3,2,18,1,8,3,15,1,14,13,17,2,14,2,17,1,16,4,14,5,15,2,14,3,15,4,14,1,7,1,14,5,17,3,6,1,14,7,15,3,8,6,10,11,8,1,18,1,14,1,3,2,14,9,15,2,8,1,15,1,14,4,3,3,14,5,15,4,14,1,3,3,14,1,8,1,15,1,3,1,16,4,14,4,16,19,17,1,14,2,17,1,16,9,14,6,16,5,14,1,15,5,14,2,16,3,3,1,14,2,15,1,8,1,9,1,8,1,14,1,16,5,14,5,17,1,14,2,16,10,14,5,16,5,14,2,8,3,15,1,14,4,3,4,16,3,3,1,14,1,15,2,14,1,16,5,14,3,16,5,3,1,14,1,15,2,14,1,16,19,14,3,16,7,14,4,16,19,17,1,14,4,16,11,14,2,15,1,14,1,16,9,14,1,15,1,8,4,15,2,14,5,17,1,14,2,8,6,10,3,8,1,14,1,3,3,16,10,17,1,14,3,15,1,8,2,10,2,8,2,15,1,14,5,3,2,14,3,17,1,16,30,17,1,14,4,17,2,14,7,15,4,14,2,3,1,16,2,3,3,16,1,3,1,14,4,15,2,14,2,15,7,14,2,18,1,8,1,10,16,8,2,10,5,8,1,18,3,8,1,10,9,8,1,18,1,14,1,3,1,14,4,18,1,10,11,8,1,10,5,18,1,3,1,18,2,10,10,8,1,18,2,15,1,14,14,15,1,8,4,15,6,14,11,15,1,18,3,15,1,14,2,3,1,14,11,15,2,18,1,8,1,15,1,14,2,3,3,14,34,15,4,14,2,15,4,18,1,8,3,18,1,14,3,15,3,14,2,3,2,14,7,15,2,14,23,15,14,8,1,18,5,8,5,10,17,8,5,10,3,8,12,10,4,8,5,10,6,8,3,10,3,8,8,10,1,8,4,10,11,8,26,18,3,8,2,18,1,8,22,10,4,8,115,10,2,8,6,10,3,8,6,10,37,8,1,10,1,8,1,10,7,8,1,10,1,8,6,10,3,8,5,10,8,8,3,10,6,8,2,18,1,8,2,10,62,8,10,10,58,8,13,10,3,8,5,10,4,8,1,10,31,8,23,10,1,8,6,10,142,8,6,10,8,8,8,10,3,8,2,10,3,8,5,10,8,8,7,10,7,18,1,10,2,8,1,10,20,8,4,10,3,9,1,4,4,19,7,4,767,},
{4,658,19,4,4,4,10,2,18,1,3,1,14,1,18,1,8,2,15,1,14,18,16,4,14,5,8,1,15,1,14,3,15,3,14,8,17,3,6,1,14,8,15,1,8,9,10,10,8,1,18,1,15,1,14,12,15,2,14,4,3,2,14,7,15,2,14,2,3,1,16,1,3,1,14,1,15,2,14,1,16,4,14,1,15,2,14,2,16,4,14,1,16,8,17,1,14,1,17,1,16,3,14,2,17,1,16,9,17,1,14,3,16,6,14,1,15,1,8,1,15,2,14,4,16,4,14,2,8,1,9,2,15,1,14,1,16,5,14,4,17,1,16,12,17,1,14,4,17,1,16,4,14,2,8,4,15,1,14,2,3,1,16,1,3,5,16,2,3,1,14,1,15,2,14,1,3,1,16,3,3,1,14,3,16,5,3,1,14,1,8,2,15,1,14,1,16,19,17,1,16,8,14,1,15,1,14,1,16,20,17,1,14,4,17,1,16,9,14,1,15,1,8,1,15,1,14,1,16,8,17,1,14,1,15,1,8,4,15,1,14,6,17,1,14,2,8,6,10,3,8,1,14,1,3,2,16,12,3,2,14,2,15,1,8,1,10,3,8,2,15,1,14,10,16,30,17,1,14,13,15,4,14,2,3,8,14,2,15,7,18,4,15,2,18,1,14,1,18,1,8,1,10,15,8,3,10,5,8,1,18,1,14,1,18,2,8,1,10,4,8,1,10,4,18,1,14,7,8,1,10,8,8,2,18,1,10,4,8,1,18,1,14,1,18,1,8,1,10,10,8,1,18,2,15,1,14,15,15,6,14,14,15,1,18,2,8,2,18,1,14,12,15,2,18,1,15,3,14,2,3,4,14,34,15,4,14,3,15,4,8,3,18,1,14,4,15,3,14,10,15,2,14,24,15,1,14,3,15,5,18,2,8,4,18,5,8,3,10,19,8,3,10,3,8,13,10,4,8,5,10,6,8,3,10,5,8,3,10,7,8,1,10,10,8,28,18,1,8,3,18,1,8,22,10,2,8,1,10,1,8,87,10,3,8,32,10,5,8,4,10,17,8,1,10,19,8,12,10,1,8,5,10,4,8,5,10,7,8,4,10,5,8,1,18,4,8,1,10,62,8,10,10,2,8,3,10,35,8,2,10,16,8,13,10,3,8,5,10,4,8,1,10,31,8,30,10,142,8,7,10,7,8,8,10,8,8,5,10,8,8,5,10,6,18,3,10,26,8,2,10,3,8,1,4,4,19,13,4,761,},
{4,658,19,4,4,3,18,2,10,1,18,1,3,1,14,1,18,1,8,3,15,1,14,9,15,3,14,2,15,1,14,2,17,1,16,3,17,1,14,4,15,2,14,3,15,2,14,10,17,3,14,7,15,2,8,4,10,2,8,3,10,11,8,3,18,1,15,1,14,10,15,1,14,7,15,4,14,4,3,1,16,2,3,2,14,4,16,4,14,1,15,1,8,1,15,1,14,2,16,1,14,4,16,6,14,4,16,14,17,1,14,2,17,1,16,6,14,2,15,2,14,5,16,5,14,1,15,1,8,1,9,1,8,1,14,1,16,5,14,4,17,2,16,11,17,1,14,5,16,5,14,1,15,1,8,4,15,1,14,1,17,1,16,3,3,6,14,1,15,3,14,1,3,1,16,3,14,4,16,5,3,1,15,1,8,1,9,1,8,1,14,1,16,27,14,1,15,2,14,1,16,20,17,1,14,5,16,8,14,1,15,1,8,2,15,1,14,1,16,8,14,2,8,4,15,2,14,6,3,1,14,2,18,1,8,4,10,3,8,2,15,1,14,1,3,1,16,6,17,2,16,6,3,1,14,2,8,2,10,3,8,1,15,2,14,9,16,31,3,1,14,1,3,3,14,4,3,2,14,2,15,3,14,3,3,7,14,2,15,3,18,10,15,1,18,2,8,2,10,14,8,3,10,6,8,1,18,1,15,1,14,1,18,1,8,2,10,3,8,1,10,4,8,1,14,7,18,1,8,1,10,7,18,3,10,4,8,1,18,3,8,1,10,10,8,1,18,2,15,2,14,9,15,1,14,7,15,1,14,7,3,2,14,7,15,2,18,1,8,2,18,1,15,1,14,7,15,2,18,1,8,3,18,1,15,1,14,4,3,4,14,34,15,4,14,3,15,2,14,1,15,1,8,3,18,1,14,5,15,2,14,40,15,5,8,6,18,6,8,3,10,24,8,13,10,3,8,7,10,4,8,5,10,12,8,4,10,7,8,56,10,1,8,87,10,8,8,31,10,5,8,4,10,17,8,2,10,18,8,11,10,3,8,1,10,7,8,5,10,6,8,3,10,7,8,1,18,1,14,2,18,1,8,1,10,51,8,1,10,10,8,8,10,4,8,5,10,26,8,1,10,4,8,11,10,5,8,17,10,3,8,5,10,35,8,8,18,3,8,20,10,79,8,1,10,4,8,1,10,57,8,8,10,7,8,7,10,10,8,1,10,10,8,5,10,4,18,1,10,1,18,4,10,10,8,1,10,20,4,5,19,13,4,760,},
{4,658,19,4,4,2,10,4,18,1,14,2,18,1,8,3,15,2,14,5,15,4,8,2,15,4,14,2,16,4,17,1,14,3,15,3,14,14,17,4,14,5,15,2,8,4,10,4,8,2,10,14,8,2,18,1,15,1,14,8,15,2,14,6,15,2,14,2,3,2,14,1,3,1,16,3,3,1,14,6,16,2,14,2,15,3,14,3,15,2,14,2,16,3,14,6,16,15,17,2,16,7,14,2,15,2,14,6,16,4,14,2,15,1,8,2,15,1,14,1,16,4,14,2,15,2,14,1,16,3,14,2,17,1,16,6,17,1,14,5,17,1,16,5,14,1,15,1,8,3,15,2,14,2,16,2,3,7,14,1,8,2,15,1,14,2,3,1,16,1,14,2,15,2,14,1,16,5,14,1,15,1,9,1,10,1,9,1,15,1,14,1,17,1,16,19,17,1,16,5,14,1,8,1,15,1,14,1,3,1,16,18,17,2,14,4,17,1,16,7,14,2,8,3,15,1,17,1,16,8,14,2,15,1,8,3,15,1,14,4,3,1,14,4,15,1,18,1,8,4,10,2,8,3,15,1,14,2,16,6,17,1,14,1,16,7,3,1,14,2,8,1,10,4,8,1,15,1,14,9,3,1,16,32,3,2,14,5,3,2,14,2,15,3,14,4,3,6,14,1,15,2,18,7,8,4,18,3,8,4,10,12,8,3,10,6,8,3,18,3,8,2,10,8,8,1,18,1,14,3,3,2,14,2,18,1,8,1,10,5,8,1,18,3,10,5,18,3,8,1,10,10,8,2,18,1,15,2,14,9,15,1,14,12,3,2,16,1,3,3,14,6,15,3,18,3,15,2,14,4,15,1,18,1,8,6,15,1,14,3,3,1,14,2,3,2,14,35,15,4,14,5,15,2,18,1,8,2,18,1,15,1,14,46,15,6,8,5,18,3,14,1,18,2,8,3,10,23,8,14,10,2,8,17,10,2,8,1,10,8,8,130,10,2,8,24,10,8,8,26,10,4,8,1,10,5,8,4,10,16,8,3,10,18,8,10,10,10,8,7,10,6,8,1,10,9,8,1,18,4,8,1,10,51,8,1,10,10,8,7,10,5,8,6,10,26,8,15,10,3,8,19,10,4,8,3,10,5,8,1,10,30,8,7,18,1,14,2,15,1,18,3,8,12,10,84,8,2,10,3,8,2,10,55,8,2,10,4,8,3,10,9,8,2,10,25,8,4,10,6,18,4,9,1,10,8,8,2,10,21,4,1,18,1,4,5,19,10,4,760,},
{4,659,19,3,4,1,18,2,10,3,18,1,14,1,18,2,15,4,14,5,15,2,8,5,15,4,14,2,17,1,16,3,17,1,14,3,15,4,14,7,15,3,14,3,17,6,14,3,15,1,8,5,10,4,8,3,10,6,8,2,10,6,8,2,18,1,15,1,14,7,15,5,14,5,3,1,16,8,3,1,14,9,15,2,14,4,15,1,8,1,15,1,14,2,16,3,14,2,15,3,14,1,16,23,14,2,15,1,14,3,16,3,17,1,16,4,14,2,15,1,8,2,15,1,14,1,3,1,16,3,14,2,15,1,9,1,8,1,14,1,16,3,14,3,16,6,14,6,16,6,14,2,15,5,14,6,3,2,16,1,3,2,14,1,8,2,15,1,14,3,3,1,14,1,15,1,8,1,15,1,14,1,16,5,14,1,15,1,8,1,10,2,8,1,14,2,16,18,17,1,14,1,16,4,3,1,15,1,8,1,15,1,14,2,16,18,17,5,16,8,17,1,14,1,15,1,8,1,10,1,8,1,15,1,17,1,16,3,17,1,16,4,14,2,15,1,8,2,15,2,14,3,16,2,14,2,15,1,8,1,15,1,8,4,10,3,8,4,15,1,14,1,3,1,16,5,17,1,14,1,16,8,3,1,14,1,15,1,8,1,10,3,8,1,15,2,14,2,15,3,14,3,3,1,16,26,17,1,3,3,16,3,3,1,14,1,15,3,14,5,15,2,14,6,3,5,14,1,15,1,18,6,8,13,10,7,8,8,10,6,8,8,10,9,8,1,15,1,14,2,3,2,14,3,18,1,8,6,18,1,14,1,18,1,10,5,8,1,18,1,14,1,18,1,10,10,8,2,18,1,15,1,14,23,3,2,16,1,3,5,14,6,15,3,18,2,15,2,14,1,15,1,18,1,8,6,15,2,14,3,3,2,14,39,15,4,14,5,15,1,18,1,15,1,18,4,15,1,14,45,15,8,8,3,18,3,14,1,18,2,8,3,10,23,8,13,10,3,8,23,10,4,8,71,10,6,8,54,10,3,8,25,10,6,8,1,10,1,8,22,10,12,8,4,10,17,8,3,10,18,8,8,10,10,8,10,10,14,8,6,10,51,8,1,10,11,8,6,10,5,8,6,10,12,8,2,10,19,8,8,10,5,8,6,10,7,8,4,10,1,8,1,10,3,8,1,10,37,8,4,18,3,7,1,14,4,15,1,18,1,8,12,10,27,8,2,10,55,8,2,10,3,8,2,10,55,8,1,10,5,8,3,10,33,8,2,10,2,8,4,10,6,18,4,8,1,10,1,8,1,10,6,8,1,10,16,8,1,10,5,8,1,9,1,10,1,18,1,4,4,19,8,4,760,},
{4,658,19,4,4,1,18,2,10,3,18,3,15,1,14,9,15,1,8,6,15,5,14,3,17,3,14,4,15,3,14,7,15,4,14,2,17,1,16,2,17,3,14,3,15,1,8,6,10,3,8,3,10,5,8,4,10,3,8,1,10,3,8,1,15,2,14,7,15,5,14,4,16,9,3,1,14,1,15,1,14,9,16,3,14,1,15,3,14,1,16,4,17,1,14,1,15,3,14,1,16,22,17,1,14,4,17,1,16,8,14,2,15,4,14,2,16,2,3,1,14,2,15,1,8,1,10,2,14,1,16,3,14,3,16,5,17,1,14,4,17,2,16,7,14,4,15,2,14,6,3,1,16,2,3,1,14,2,8,2,15,1,14,5,8,2,15,1,14,1,16,5,14,1,15,1,8,1,10,2,8,1,15,1,14,1,16,18,14,2,16,4,14,1,15,1,8,1,15,1,14,1,17,1,16,31,14,1,15,1,8,1,10,2,8,1,14,1,16,3,14,2,16,4,14,2,15,1,8,1,15,3,14,3,16,2,14,1,15,1,8,7,10,3,8,1,15,1,8,3,14,1,16,7,17,1,16,9,3,1,14,1,15,1,9,1,10,2,9,1,8,1,15,3,8,1,15,2,14,2,3,2,16,24,17,1,14,4,3,1,16,2,3,1,14,1,15,1,8,1,18,1,15,1,14,4,15,3,14,8,3,2,14,3,15,3,18,3,8,4,10,2,8,4,10,10,8,8,10,6,8,1,10,6,8,2,10,8,8,1,18,1,14,8,18,1,8,1,18,1,8,2,18,4,10,6,18,1,3,1,18,1,8,1,10,9,8,1,18,1,15,2,14,23,3,10,14,6,15,3,18,4,8,5,18,1,15,1,14,4,3,2,14,39,15,5,14,5,15,2,14,2,15,1,18,1,8,2,15,1,14,43,15,5,14,2,15,4,18,1,8,1,18,5,8,8,10,18,8,13,10,3,8,9,18,3,8,2,10,3,8,81,10,6,8,53,10,4,8,1,10,2,8,22,10,9,8,21,10,12,8,4,10,19,8,1,10,18,8,7,10,11,8,13,10,12,8,5,10,51,8,2,10,13,8,3,10,23,8,2,10,20,8,6,10,7,8,2,10,10,8,6,10,41,8,4,18,2,15,1,14,5,18,2,8,12,10,27,8,3,10,54,8,2,10,66,8,3,10,32,8,3,10,3,8,3,10,6,18,3,10,1,18,1,8,2,10,6,8,1,10,16,8,3,10,4,8,2,9,1,4,4,19,8,4,760,},
{4,657,19,4,4,3,18,1,10,2,8,4,18,1,14,9,15,1,8,8,15,4,14,3,17,2,14,4,15,3,14,3,3,1,14,3,15,1,8,1,15,1,14,3,17,2,16,1,17,3,14,3,15,1,8,6,10,4,8,2,10,5,8,4,10,2,8,3,10,2,8,2,15,5,14,4,15,4,14,2,15,1,14,2,16,8,14,2,15,1,14,2,16,3,14,4,16,4,14,3,16,6,14,4,16,23,14,4,17,1,16,7,14,3,15,2,14,5,16,1,17,1,14,2,15,2,8,1,10,1,9,1,14,1,16,3,14,2,16,6,14,5,16,10,17,1,14,3,15,1,14,6,3,1,16,3,14,2,8,2,15,1,14,4,15,1,8,2,15,1,14,1,16,5,14,1,15,1,8,1,10,2,8,1,15,1,14,1,16,18,14,2,16,4,14,1,15,1,8,1,15,1,14,1,16,31,17,1,14,1,15,1,8,2,9,1,8,1,14,1,16,2,17,1,14,2,17,1,16,3,14,2,15,5,14,2,3,1,16,1,3,1,14,1,15,1,8,7,10,3,8,1,15,1,8,2,15,1,14,1,16,18,14,1,15,1,8,1,10,2,9,1,8,6,15,1,14,2,3,1,14,1,3,3,14,1,3,1,16,17,3,2,14,5,3,4,14,1,8,3,18,1,14,1,18,2,15,5,14,16,18,3,8,2,10,18,8,7,10,4,8,4,10,5,8,2,10,9,18,1,14,4,18,2,14,2,18,2,8,4,18,3,8,1,10,5,18,1,3,1,18,1,8,1,10,8,8,2,15,2,14,25,3,9,14,8,15,2,18,1,8,6,18,1,14,4,3,1,14,42,15,5,14,5,15,2,14,3,15,1,8,2,15,1,14,42,15,5,14,4,15,3,18,1,8,2,18,4,8,9,10,1,8,2,10,14,8,14,10,2,8,4,10,1,8,4,18,3,8,2,10,3,8,21,18,7,8,52,10,9,8,50,10,4,8,2,10,2,8,22,10,9,8,23,10,10,8,5,10,37,8,7,10,11,8,5,10,2,8,6,10,68,8,3,10,12,8,5,10,43,8,4,10,69,8,3,18,5,15,1,14,1,18,4,8,9,10,3,8,5,10,22,8,2,10,122,8,2,10,10,8,1,10,22,8,3,10,4,8,2,10,6,18,3,10,1,8,3,10,23,8,3,10,6,8,1,18,1,4,3,19,6,4,762,},
{4,656,19,5,4,4,10,6,8,1,14,1,3,1,14,7,15,1,8,5,15,1,8,2,15,2,8,2,15,2,14,7,15,3,14,7,15,3,14,5,17,4,14,3,15,1,8,5,9,1,10,4,8,2,10,6,8,2,10,3,8,6,15,3,18,1,15,2,14,5,15,1,8,4,9,2,8,1,3,1,16,7,14,2,15,1,14,2,16,3,14,3,16,6,14,1,16,9,14,2,16,23,17,1,14,1,17,1,16,7,17,1,14,2,15,3,14,2,17,1,14,2,16,1,17,1,14,5,15,1,8,1,15,1,16,12,14,4,17,1,16,11,17,1,14,9,3,1,16,2,3,1,14,1,15,3,14,5,15,1,8,2,14,1,17,1,16,5,14,1,15,1,9,1,10,2,9,1,15,1,14,1,16,17,17,1,14,2,17,1,16,4,14,4,16,31,17,1,14,2,15,1,8,2,15,1,17,1,16,2,14,1,15,1,14,1,17,1,16,3,14,3,15,4,14,2,3,2,14,2,15,1,18,1,8,1,10,2,8,4,10,1,8,2,15,1,8,2,14,2,16,18,3,1,14,1,8,1,9,1,10,1,9,1,8,2,9,2,8,2,15,1,14,9,16,12,3,1,16,4,3,1,14,3,15,1,18,1,15,1,14,1,3,2,14,1,8,1,10,1,8,2,14,1,18,1,8,2,18,4,15,1,14,17,15,1,18,1,8,2,10,20,8,5,10,4,8,7,10,1,8,1,18,1,8,1,10,4,8,2,10,3,8,1,14,2,18,4,14,2,18,1,8,1,10,3,8,1,18,2,8,2,10,5,18,1,14,1,18,1,10,9,8,2,15,1,14,30,3,5,14,9,15,2,8,3,18,2,15,1,14,3,3,3,14,34,3,2,14,5,15,5,14,11,15,1,18,2,15,1,14,42,15,5,14,5,15,2,18,1,8,2,18,3,8,15,10,12,8,8,18,1,8,10,10,3,8,3,18,3,8,2,10,5,8,18,18,9,8,50,10,10,8,50,10,4,8,2,10,2,8,22,10,9,8,27,10,21,8,3,10,24,8,7,10,11,8,4,10,5,8,4,10,68,8,3,10,13,8,1,10,1,8,1,10,38,8,1,10,6,8,1,10,39,8,1,10,32,8,3,18,9,8,6,10,2,8,2,10,2,8,6,10,144,8,4,10,10,8,1,10,10,8,2,10,11,8,1,10,5,8,1,10,8,18,1,10,2,8,2,10,24,8,3,10,8,18,1,4,2,19,5,4,763,},
{4,656,19,5,4,5,10,5,8,1,14,9,15,1,8,4,15,6,8,3,15,1,14,7,15,2,18,1,14,16,17,3,14,3,15,5,8,1,10,5,8,2,10,12,8,2,18,1,15,1,14,3,15,1,18,1,8,1,14,2,3,1,14,2,15,1,8,1,10,2,9,1,10,4,15,1,16,6,14,6,16,3,3,1,14,1,16,6,17,1,14,2,16,9,17,1,16,33,14,3,15,1,8,1,15,1,14,1,16,3,17,2,14,9,16,11,17,1,14,3,16,13,14,5,17,1,16,3,3,1,16,3,14,2,15,2,14,5,15,1,8,2,15,1,14,1,16,6,14,1,15,1,10,4,8,1,14,1,16,16,17,1,14,5,16,4,14,3,16,23,17,2,16,7,17,1,14,2,15,1,8,1,14,1,16,3,14,1,15,2,14,1,16,3,14,3,15,4,14,2,3,1,14,3,15,2,8,1,10,3,8,8,15,1,14,1,17,1,16,19,14,1,15,1,9,3,8,1,9,1,10,2,8,3,15,1,14,8,17,1,16,4,17,1,14,2,3,1,16,3,3,2,16,3,3,1,14,2,15,1,8,2,15,1,14,1,3,2,14,1,8,1,10,1,8,1,18,1,14,1,18,1,8,1,10,1,8,1,15,1,8,2,15,1,14,5,15,3,14,9,15,1,18,2,8,2,10,3,8,3,10,15,8,2,10,5,8,2,18,4,8,2,18,3,8,1,10,2,8,1,18,1,15,1,8,3,18,1,14,2,18,1,8,2,18,4,8,1,10,4,8,4,10,4,8,1,18,3,10,9,8,2,14,32,3,3,14,7,3,1,14,3,15,1,18,3,14,4,3,3,14,6,3,1,14,11,3,1,14,17,3,3,14,4,15,5,14,12,15,2,14,43,15,5,14,5,15,2,18,1,8,2,18,3,8,4,18,4,8,4,10,1,8,3,10,11,8,2,10,2,8,3,18,3,8,10,10,3,8,8,10,6,8,5,10,5,8,6,18,9,8,50,10,12,8,49,10,3,8,2,10,2,8,7,10,2,8,11,10,11,8,30,10,18,8,4,10,24,8,6,10,12,8,1,10,1,8,3,10,9,8,2,10,40,8,6,10,18,8,3,10,38,8,3,10,12,8,4,10,44,8,2,10,3,8,2,10,4,8,4,10,1,8,3,10,6,8,1,10,8,8,5,18,7,8,5,10,1,8,3,10,2,8,6,10,83,8,2,10,56,8,7,10,5,8,3,10,2,8,1,10,4,8,1,10,4,8,4,10,28,8,2,10,24,8,3,10,9,4,770,},
{4,656,19,4,4,6,10,6,18,1,14,9,15,1,8,4,15,1,8,1,15,3,8,4,15,1,14,6,15,4,14,17,17,1,14,4,15,3,8,2,10,19,8,2,15,1,14,4,15,3,14,5,15,1,9,1,10,2,9,1,10,4,15,1,3,1,16,5,14,6,16,12,17,1,14,2,16,3,14,1,17,1,16,36,14,4,15,2,14,1,16,4,17,1,14,2,15,1,14,2,16,16,14,3,16,14,14,4,16,7,3,2,14,1,15,1,8,1,15,1,14,5,15,3,14,2,16,6,14,1,15,1,10,4,8,1,14,1,17,1,16,16,17,1,14,4,16,5,3,1,16,23,17,1,7,2,14,1,16,7,17,1,14,2,15,1,14,1,17,1,16,1,14,2,15,2,14,1,16,3,17,1,14,3,15,1,14,5,15,1,18,1,15,2,14,1,8,1,10,2,8,7,15,1,14,3,16,20,14,1,15,1,9,1,10,1,9,3,10,2,9,1,8,1,15,2,14,8,3,1,16,1,3,3,14,4,3,1,14,1,3,1,14,2,3,4,14,1,15,2,8,2,18,1,14,3,18,1,10,3,8,1,18,2,8,1,10,1,8,1,18,1,8,2,18,1,15,1,14,3,15,6,14,8,15,1,18,1,8,2,10,1,8,5,10,5,8,4,10,13,8,2,18,1,15,1,14,4,15,1,14,1,18,1,8,1,10,1,8,2,15,2,18,1,8,3,14,2,18,1,8,3,18,2,8,1,10,7,8,2,10,4,8,1,18,2,10,11,8,1,15,2,14,50,3,4,14,6,3,3,14,10,3,1,14,18,3,1,14,5,15,3,14,59,15,5,14,5,15,2,18,1,8,2,18,3,8,3,18,3,14,1,18,2,8,3,10,1,8,2,10,6,8,1,10,6,8,6,18,4,8,21,10,15,8,5,18,10,8,50,10,11,8,55,10,2,8,17,10,14,8,32,10,16,8,4,10,24,8,16,10,4,8,4,10,8,8,3,10,36,8,1,10,1,8,3,10,1,8,3,10,18,8,2,10,39,8,2,10,11,8,7,10,8,8,2,10,33,8,3,10,2,8,15,10,14,8,6,18,4,8,11,10,2,8,6,10,83,8,2,10,56,8,6,10,6,8,3,10,2,8,2,10,3,8,1,10,4,8,4,10,66,4,770,},
{4,656,19,5,4,5,10,2,18,1,10,3,8,1,14,10,15,1,8,6,15,2,8,4,15,1,14,6,15,4,14,1,15,1,14,16,17,2,14,3,15,2,8,3,9,1,10,14,8,2,18,2,8,2,18,1,14,3,15,6,14,2,15,1,8,5,10,2,8,1,14,1,3,1,16,5,14,6,16,13,14,3,16,3,17,1,16,2,17,2,16,19,17,1,14,1,17,1,16,8,17,1,14,7,16,5,14,3,15,2,14,1,16,13,17,1,14,1,17,1,14,3,16,13,14,4,16,8,14,2,15,1,8,2,15,1,14,5,15,1,14,4,16,5,3,1,14,1,15,1,10,3,9,1,15,1,14,1,17,1,16,17,14,2,15,1,14,1,17,1,16,27,17,1,14,1,7,2,14,1,16,9,14,10,16,4,17,1,14,4,3,1,14,2,15,1,8,2,15,2,18,1,8,1,10,1,8,1,15,1,14,1,8,4,15,1,14,2,16,22,14,1,8,1,10,3,9,5,8,1,15,1,14,1,15,2,14,6,3,7,14,8,3,2,14,3,15,1,18,6,8,1,10,3,8,10,18,5,15,1,14,3,15,1,14,4,15,2,14,3,18,1,8,1,10,2,8,2,10,2,8,1,10,4,8,1,18,4,8,3,10,12,8,1,14,6,15,1,18,1,8,4,18,1,8,2,10,2,8,1,18,3,8,1,10,2,8,1,18,1,10,8,8,3,10,3,8,2,10,12,8,1,18,2,15,2,14,25,3,2,14,21,3,3,14,8,3,2,14,22,15,3,14,83,15,2,8,10,18,5,8,2,10,5,8,5,10,6,8,10,18,1,8,23,10,11,8,5,18,9,8,2,18,1,8,50,10,9,8,55,10,1,8,1,10,1,8,17,10,14,8,39,10,10,8,4,10,24,8,16,10,1,8,7,10,47,8,1,10,6,8,1,10,18,8,1,10,33,8,1,10,19,8,6,10,1,8,1,10,1,8,8,10,2,8,5,10,26,8,4,10,3,8,13,10,13,8,29,10,99,8,2,10,40,8,1,10,1,8,5,10,5,8,3,10,3,8,3,10,7,8,2,10,2,8,2,10,61,8,1,10,2,4,770,},
{4,657,19,4,4,5,10,1,18,3,10,2,8,1,18,1,14,3,3,4,14,2,15,1,8,5,15,4,8,3,15,1,14,3,17,1,14,3,15,6,14,5,15,1,14,9,17,3,14,3,15,1,8,4,10,14,8,2,18,2,8,1,9,1,8,1,15,1,14,3,15,1,14,1,15,1,8,2,15,1,14,1,15,2,14,4,15,3,14,1,16,3,3,5,16,1,3,1,14,3,16,12,14,3,16,27,14,3,17,1,16,7,14,7,16,6,14,3,15,1,14,2,16,12,17,1,14,5,17,1,16,10,17,1,14,4,17,1,16,9,14,2,15,1,8,2,14,3,15,3,14,3,16,1,14,1,16,4,17,1,14,2,8,1,10,3,8,1,15,1,14,1,16,7,17,1,16,11,14,3,16,28,6,1,14,1,7,1,14,1,17,1,16,3,17,1,16,5,14,2,15,3,14,5,17,1,16,4,17,1,14,3,17,1,14,1,15,1,8,2,18,1,15,2,8,2,9,1,8,1,14,2,15,1,8,2,15,1,14,2,16,23,3,1,15,1,9,8,8,1,14,2,15,2,14,6,3,6,14,14,15,1,18,2,8,4,10,7,8,11,18,1,15,1,14,3,15,2,14,2,18,2,8,1,18,1,15,1,18,1,8,2,10,2,8,2,10,7,8,1,18,1,14,2,15,2,18,2,8,1,10,5,8,3,10,1,8,3,15,1,14,4,15,2,18,1,8,5,10,5,8,1,18,2,8,1,10,2,8,2,10,10,8,1,10,3,8,2,10,12,8,1,18,1,8,2,15,1,14,25,3,2,14,56,15,3,14,29,15,1,14,50,15,5,8,11,18,4,8,12,10,5,8,11,18,2,8,8,18,5,8,9,10,12,8,3,18,8,8,5,18,1,8,49,10,9,8,55,10,6,8,14,10,14,8,10,10,6,8,23,10,12,8,8,10,2,8,1,10,13,8,3,10,1,8,22,10,64,8,3,10,6,8,1,10,20,8,5,10,16,8,1,10,11,8,6,10,1,8,6,10,8,8,4,10,25,8,5,10,2,8,12,10,11,8,1,10,2,8,25,10,102,8,2,10,24,8,1,10,13,8,10,10,5,8,2,10,4,8,4,10,18,8,1,10,21,8,2,10,8,8,1,10,22,8,1,10,2,18,1,4,769,},
{4,666,10,1,18,3,10,2,8,1,18,1,15,1,14,3,3,3,14,2,15,1,8,4,15,2,14,2,15,1,8,2,15,2,14,2,17,2,14,2,15,3,14,2,15,1,14,2,3,1,14,12,17,4,14,3,15,2,8,3,10,16,8,1,10,3,8,1,15,1,14,6,18,2,15,2,18,1,15,1,14,1,3,2,14,4,3,1,16,2,3,1,14,4,3,2,14,4,16,3,3,2,16,4,14,6,16,14,17,1,16,12,14,4,16,7,14,3,15,3,14,2,16,5,14,5,16,13,14,4,17,2,16,11,14,4,17,1,16,11,14,1,15,1,8,2,14,3,15,3,14,2,16,2,17,1,16,4,17,1,14,1,15,1,8,1,9,3,8,1,15,1,14,1,16,7,17,2,16,10,17,1,14,2,16,29,17,1,16,5,17,1,14,1,17,1,16,4,14,1,15,1,8,2,15,1,14,4,17,1,16,6,17,2,14,2,15,1,8,2,15,1,14,2,15,1,8,3,18,1,14,1,3,1,14,1,15,2,14,3,16,24,14,1,15,1,8,1,9,2,10,4,8,1,14,2,15,2,14,7,3,1,14,17,15,1,18,1,8,4,10,4,8,3,10,5,8,8,18,1,15,2,14,2,15,2,14,1,18,1,8,7,10,12,8,2,18,2,15,3,18,1,8,1,10,4,8,4,18,1,15,4,18,7,8,4,10,6,8,1,18,2,8,1,10,18,8,2,10,11,8,2,15,4,14,25,3,2,14,56,15,3,14,9,15,2,14,14,15,6,14,34,15,5,14,4,15,8,8,14,18,4,8,10,10,3,8,23,18,9,8,4,10,7,8,3,10,6,8,3,18,6,8,56,10,9,8,55,10,1,8,21,10,12,8,15,10,1,8,23,10,6,8,18,10,11,8,3,10,5,8,16,10,66,8,5,10,5,8,1,10,39,8,7,10,7,8,4,10,4,8,1,10,21,8,2,10,18,8,5,10,2,8,11,10,15,8,25,10,142,8,9,10,6,8,2,10,4,8,4,10,18,8,1,10,13,4,7,10,1,8,2,10,8,8,1,10,10,8,2,10,14,18,1,4,768,},
{4,666,10,1,18,3,10,3,8,2,15,1,14,2,3,3,14,2,15,1,8,3,15,2,14,3,15,1,8,3,15,1,14,2,17,2,14,2,15,3,14,2,15,1,14,15,17,3,14,4,15,2,8,3,10,20,8,1,18,1,14,4,3,2,14,1,15,2,18,1,8,1,18,1,14,1,3,3,14,3,3,1,16,1,3,1,14,4,3,1,16,3,14,8,16,4,14,1,15,1,14,3,16,9,17,1,16,3,14,2,17,1,16,12,14,4,16,7,14,4,8,2,15,1,14,1,16,5,14,5,16,13,14,4,16,12,14,5,17,1,16,5,17,2,16,3,14,2,15,1,8,1,15,1,14,3,15,1,8,1,15,1,14,2,16,8,14,1,15,1,8,5,15,1,14,1,16,7,17,1,14,1,17,1,16,10,14,1,17,1,16,17,17,2,16,16,14,2,17,1,16,4,14,1,8,1,10,1,8,1,15,1,14,4,16,2,17,1,16,5,17,1,14,1,15,1,8,1,10,1,8,1,14,3,18,1,8,3,15,1,14,1,3,1,14,5,17,1,16,24,14,2,15,1,8,2,10,4,8,1,14,2,15,2,14,4,15,1,14,6,3,1,14,5,15,1,14,5,15,3,8,4,10,5,8,4,10,4,8,9,18,3,15,2,18,2,8,7,10,4,8,1,10,9,8,3,18,1,15,2,18,1,8,1,10,5,8,2,14,4,15,1,8,2,10,1,8,3,18,2,8,3,10,7,8,3,10,9,8,1,10,6,8,4,10,12,8,1,18,1,14,29,3,2,14,2,3,3,14,52,15,2,14,9,15,2,14,14,15,3,8,2,15,2,14,22,15,3,14,8,15,2,8,1,15,2,14,3,15,8,8,6,18,2,8,14,18,4,8,3,10,2,8,4,18,3,8,5,18,3,8,6,18,6,14,3,18,6,8,1,10,6,8,7,10,3,8,5,18,3,8,57,10,9,8,55,10,3,8,12,10,2,8,5,10,11,8,8,10,2,8,27,10,10,8,18,10,8,8,5,10,6,8,14,10,48,8,3,10,14,8,8,10,13,8,3,10,3,8,1,10,23,8,9,10,6,8,4,10,25,8,3,10,17,8,12,10,23,8,12,10,3,8,4,10,146,8,10,10,6,8,2,10,4,8,7,10,14,8,2,10,13,4,8,9,1,8,2,10,18,8,3,10,14,4,768,},
{4,659,19,4,4,3,10,2,18,1,10,5,8,1,18,2,14,1,3,3,14,2,15,1,8,4,15,1,14,2,15,2,8,3,15,1,14,2,17,2,14,2,15,5,8,1,15,1,14,21,15,3,8,2,10,20,8,1,18,1,15,1,14,1,15,1,14,1,3,2,14,3,18,1,8,2,14,1,3,4,14,1,3,4,14,3,3,1,16,4,14,2,15,3,14,3,16,4,14,1,15,2,14,2,16,8,17,1,14,1,17,1,16,1,17,1,14,2,16,13,14,4,16,7,14,4,8,2,15,1,14,1,16,5,14,2,15,1,14,2,16,12,14,5,16,12,14,6,17,3,16,2,17,1,16,2,3,1,14,2,15,1,8,1,15,1,14,1,3,1,14,2,8,2,15,1,14,1,3,1,16,8,14,2,15,1,8,4,15,1,14,1,16,7,17,1,14,2,17,1,16,9,14,2,16,16,17,2,16,17,14,2,3,1,16,4,14,1,8,1,10,1,8,1,15,1,14,3,16,3,14,2,16,3,17,1,14,2,8,4,18,3,8,3,18,1,14,5,17,1,16,28,14,2,15,1,8,4,9,1,8,1,14,2,15,3,14,3,15,1,14,6,3,1,14,5,15,8,8,15,10,5,8,8,18,5,8,8,10,2,8,5,10,9,8,1,18,1,15,1,14,1,18,2,8,1,10,4,8,1,18,1,14,1,3,2,14,1,15,1,8,1,10,3,8,2,18,2,8,3,10,19,8,2,10,5,8,4,10,12,8,1,18,1,14,30,3,1,14,2,3,4,14,51,15,2,14,25,15,2,8,3,15,2,14,21,15,6,14,5,15,2,8,2,15,1,14,5,15,11,18,6,8,13,18,4,8,9,18,1,8,5,18,5,8,3,18,2,15,1,14,9,15,2,18,3,8,2,10,10,8,70,10,9,8,70,10,3,8,4,10,10,8,8,10,4,8,24,10,12,8,1,10,2,8,15,10,8,8,5,10,7,8,7,10,1,8,5,10,10,8,2,10,34,8,6,10,13,8,8,10,12,8,10,10,11,8,1,10,8,8,10,10,6,8,4,10,24,8,4,10,17,8,12,10,24,8,10,10,5,8,2,10,147,8,3,10,1,8,5,10,7,8,2,10,5,8,1,10,2,8,3,10,13,8,4,10,12,4,8,9,1,8,2,10,17,8,4,10,14,4,768,},
{4,658,19,6,4,3,10,8,8,2,18,1,14,2,3,1,14,2,15,1,8,4,15,4,8,4,15,1,14,3,17,1,14,2,15,2,8,5,14,9,15,1,7,1,15,1,14,10,15,3,8,2,10,18,8,3,18,2,15,1,14,1,3,3,14,2,18,1,10,1,9,1,15,1,3,3,14,8,3,1,16,5,14,1,15,2,8,1,15,2,14,2,16,4,14,2,15,1,14,2,16,7,17,1,14,6,17,1,16,13,14,4,16,7,14,4,15,2,14,1,16,6,14,1,15,1,8,1,15,1,14,1,16,7,14,1,17,1,16,3,14,5,16,11,14,1,15,3,14,6,17,3,16,2,14,2,15,1,8,2,14,1,3,1,16,1,14,1,15,1,8,2,15,1,14,1,16,4,17,1,16,4,17,1,14,1,15,4,8,1,14,1,16,9,14,3,16,9,17,2,16,15,14,2,17,1,16,12,17,1,14,3,16,7,14,1,15,1,10,2,8,1,14,3,16,3,17,1,14,2,17,1,16,2,14,3,8,4,18,2,8,3,15,1,14,6,16,29,14,7,15,2,14,2,15,4,14,2,15,1,14,3,15,2,14,1,3,2,14,4,15,2,18,6,8,2,10,1,8,14,10,3,8,10,18,2,8,5,18,2,8,2,10,1,8,7,10,2,8,1,10,6,8,1,18,4,8,2,10,3,8,1,18,1,14,1,3,2,14,1,18,1,8,1,10,4,8,1,18,3,8,2,10,6,8,2,10,3,8,3,10,5,8,2,10,5,8,1,18,1,8,2,10,12,8,1,18,1,14,18,3,2,14,4,3,2,14,7,3,4,14,68,15,2,14,9,15,6,14,23,15,8,14,1,15,5,14,8,15,1,14,7,15,2,14,2,15,3,18,5,8,8,18,3,8,15,18,2,14,1,15,1,18,4,14,12,15,2,18,4,8,5,10,7,8,69,10,8,8,71,10,3,8,5,10,9,8,1,10,1,8,6,10,5,8,23,10,27,8,3,10,8,8,5,10,7,8,7,10,1,8,5,10,9,8,3,10,33,8,7,10,15,8,6,10,12,8,9,10,12,8,1,10,8,8,10,10,6,8,4,10,23,8,5,10,16,8,13,10,25,8,3,10,1,8,5,10,154,8,3,10,2,8,3,10,9,8,1,10,8,8,3,10,12,8,7,10,9,4,9,9,1,10,12,8,1,10,7,8,3,10,14,4,768,},
{4,658,19,7,4,4,10,7,8,1,18,1,14,5,15,2,8,4,15,3,8,4,15,1,14,3,17,1,14,2,15,2,8,5,15,1,14,8,15,1,7,1,15,1,7,1,14,10,15,2,8,2,10,16,8,5,18,3,14,1,3,4,14,1,18,1,10,1,9,1,15,1,14,11,16,6,14,2,15,2,14,4,16,4,14,5,16,7,14,4,15,2,14,1,16,14,14,4,16,7,14,2,17,2,14,3,16,6,14,1,8,2,15,1,14,1,16,6,17,1,14,1,17,1,16,3,17,1,14,2,16,13,14,1,15,3,14,5,17,3,16,3,3,1,14,1,15,1,8,1,15,1,14,1,3,1,16,1,14,1,15,1,8,2,15,1,14,1,16,4,14,1,17,1,16,4,14,2,15,4,14,1,16,9,17,1,14,2,17,1,16,8,17,1,16,15,14,3,16,12,17,1,7,1,8,1,7,1,14,1,16,6,14,2,8,1,10,2,15,1,14,3,16,3,14,3,16,3,17,1,14,1,15,1,8,4,18,2,8,2,18,1,14,7,17,1,16,3,17,2,16,23,14,5,3,1,14,2,15,1,14,2,15,1,18,2,15,2,14,1,15,2,14,2,15,1,14,7,15,2,18,3,8,5,10,2,8,1,18,1,15,3,18,1,8,8,10,3,8,17,18,2,8,2,10,1,8,2,18,5,8,1,10,1,8,2,10,6,8,4,18,1,8,1,10,3,8,1,15,1,14,3,15,1,8,2,10,3,8,2,18,1,15,1,18,1,8,2,10,4,8,4,10,3,8,2,18,1,10,6,8,2,10,3,8,2,18,1,8,1,10,14,18,1,14,17,3,4,14,3,3,3,14,6,3,4,14,62,3,2,14,4,15,2,14,10,15,3,14,26,15,8,14,28,15,3,18,2,8,10,18,4,8,13,18,1,15,2,18,3,15,1,14,11,15,2,18,7,8,3,10,7,8,68,10,11,8,69,10,3,8,5,10,9,8,9,10,2,8,1,10,1,8,23,10,28,8,1,10,12,8,1,10,8,8,7,10,1,8,6,10,7,8,4,10,33,8,2,18,3,8,2,10,16,8,1,10,1,8,1,10,15,8,4,10,2,8,2,10,12,8,1,10,6,8,9,18,1,8,4,10,12,8,5,10,14,8,5,10,9,8,21,10,25,8,1,10,3,8,4,10,154,8,3,10,2,8,2,10,19,8,4,10,10,8,8,10,8,4,10,10,13,8,1,10,8,8,2,10,11,8,1,10,2,4,4,19,2,4,762,},
{4,659,19,7,4,4,10,7,8,1,18,1,14,5,15,1,8,2,9,1,8,8,15,2,14,2,16,1,17,1,14,3,15,2,8,3,15,1,14,8,15,3,14,12,15,1,8,2,10,15,8,5,18,1,15,1,14,3,3,3,14,2,18,1,8,2,15,1,14,2,15,3,14,2,15,2,14,2,16,5,3,1,14,4,16,2,17,1,14,3,17,1,16,1,17,1,14,3,16,9,14,3,15,1,14,1,16,15,14,3,17,1,16,6,17,1,14,1,17,1,16,10,17,1,15,1,8,2,15,1,14,1,16,6,17,1,14,1,17,1,16,19,14,1,15,1,8,1,15,1,14,5,16,7,14,2,15,2,14,1,3,1,16,1,14,1,15,1,8,2,14,2,16,3,14,3,16,4,3,1,14,6,16,10,17,3,16,13,17,1,16,10,14,3,16,12,14,1,8,3,14,1,3,1,16,4,14,2,8,1,9,1,10,1,8,1,14,1,16,1,14,1,17,1,16,2,17,1,14,3,16,3,14,2,8,4,15,1,18,2,8,2,18,1,14,2,3,1,14,4,17,1,16,3,17,1,16,8,17,2,16,14,14,4,3,1,16,2,3,1,14,3,15,1,8,2,18,1,15,8,14,6,15,1,18,1,8,8,9,1,8,2,15,2,14,1,15,2,8,8,10,3,8,3,18,5,8,11,10,3,8,1,18,1,14,4,18,1,8,4,10,9,8,3,10,3,18,1,15,1,14,1,15,2,18,1,8,7,15,1,14,1,18,1,8,2,10,5,8,4,10,3,8,1,18,1,8,1,10,6,18,2,9,1,10,1,8,3,10,15,18,1,15,4,14,12,3,6,14,2,3,3,14,6,3,3,14,41,3,1,14,20,3,4,14,45,15,6,14,32,15,1,18,2,8,10,18,5,8,11,18,7,15,1,14,1,15,9,18,5,8,2,18,3,8,3,10,6,8,12,18,4,8,52,10,11,8,69,10,3,8,6,10,10,8,10,10,1,8,23,10,11,8,2,10,15,8,1,10,18,8,8,10,3,8,9,10,3,8,5,10,33,8,2,18,2,8,3,10,60,8,15,10,12,8,6,10,13,8,2,10,11,8,22,10,25,8,1,10,4,8,8,10,148,8,8,10,19,8,4,10,10,8,1,18,2,8,6,10,7,4,10,10,13,8,3,10,18,8,2,10,2,4,3,19,4,4,761,},
{4,658,19,8,4,4,10,8,8,1,18,1,14,5,18,1,8,1,9,1,8,7,15,2,14,2,17,1,16,1,17,1,14,5,15,3,14,9,7,3,14,12,15,1,18,1,8,2,10,14,8,5,18,1,14,1,3,1,14,1,3,4,14,2,18,3,15,1,14,1,15,4,14,2,15,3,14,1,16,4,14,3,16,6,14,5,17,1,16,13,17,1,14,3,16,14,17,1,14,2,17,1,16,6,17,1,14,2,17,1,16,10,17,1,15,1,8,2,15,1,16,7,14,3,17,1,16,18,14,1,15,1,8,2,15,1,14,3,16,9,14,2,15,1,14,2,3,1,14,1,15,1,8,1,15,1,14,1,16,4,14,3,17,1,16,4,3,1,14,4,16,12,17,2,16,3,17,2,16,8,17,1,16,9,17,1,14,3,16,11,17,1,7,1,8,3,14,1,3,1,16,3,3,1,14,1,15,1,8,1,10,2,8,1,14,1,16,1,17,1,16,3,17,1,14,2,16,4,14,1,15,1,8,2,15,3,18,2,8,2,18,1,14,7,16,16,17,1,14,2,17,1,16,9,17,3,16,4,3,2,14,2,18,1,8,3,18,3,8,1,18,3,15,1,14,5,15,2,8,10,15,3,14,2,15,5,8,5,10,3,8,3,18,2,15,1,18,3,8,4,18,2,8,2,10,4,9,1,18,1,14,1,3,1,14,3,18,4,8,2,10,13,8,1,18,1,14,2,15,1,18,7,8,2,18,1,15,1,18,1,8,1,10,7,8,4,10,3,8,2,10,6,18,2,10,2,8,2,10,6,8,1,10,9,8,1,15,2,18,1,15,1,14,12,3,5,14,2,3,4,14,7,3,1,14,61,3,2,14,50,15,4,14,34,15,1,18,1,8,3,15,1,14,1,15,1,18,1,8,4,18,5,8,7,18,1,8,3,18,13,15,4,18,4,8,20,18,1,8,4,18,7,8,52,10,10,8,69,10,5,8,5,10,9,8,10,10,2,8,22,10,11,8,8,10,3,8,1,10,4,8,4,10,15,8,7,10,4,8,1,10,2,8,7,10,2,8,1,10,1,8,4,10,33,8,6,10,60,8,16,10,13,8,6,10,25,8,22,10,24,8,2,10,4,8,9,10,147,8,9,10,18,8,4,10,10,8,1,18,2,8,6,10,6,18,1,4,11,10,12,8,4,10,17,8,2,10,2,4,3,19,4,4,761,},
{4,659,19,7,4,4,10,9,8,1,18,1,14,1,3,2,14,1,15,1,8,1,10,1,8,3,15,6,14,2,17,1,16,1,17,1,14,22,17,2,14,8,15,2,8,3,10,14,8,3,18,1,14,1,3,6,14,2,18,4,15,2,18,2,15,1,14,3,15,1,8,2,15,1,14,1,3,1,14,5,16,6,14,1,15,2,14,2,16,32,17,1,14,1,17,1,16,7,14,4,16,11,14,1,15,2,14,1,16,7,14,4,17,1,16,16,3,1,14,1,15,1,8,2,15,1,14,2,17,1,16,9,14,2,15,2,14,1,3,1,14,1,15,2,14,1,3,1,16,4,14,1,15,1,14,2,16,6,14,2,16,14,17,2,16,1,17,1,14,2,16,8,17,1,16,9,14,3,17,1,16,11,14,1,7,3,14,2,3,1,16,3,14,1,15,1,8,1,10,3,8,1,14,1,16,5,14,2,16,4,17,1,14,1,8,3,14,1,15,2,8,5,15,1,14,5,17,1,16,16,14,4,16,18,3,1,14,1,18,1,8,9,18,2,15,6,18,1,8,9,15,1,14,8,15,3,8,3,10,4,8,3,18,2,15,3,18,2,8,3,15,2,18,1,8,1,10,4,8,1,14,1,3,3,14,2,15,1,18,4,8,1,10,13,8,1,18,1,15,1,14,1,15,1,18,2,15,1,14,3,18,1,8,2,18,3,8,2,10,7,8,1,18,2,8,1,10,3,8,3,10,3,8,1,18,1,8,1,10,10,8,2,10,8,18,1,15,1,18,2,15,1,14,3,3,3,14,5,3,6,14,2,3,4,14,34,3,1,14,34,3,1,14,69,15,3,14,17,15,2,18,1,8,2,15,1,14,2,15,1,18,12,8,1,18,2,15,1,18,2,8,3,18,5,8,3,18,5,15,3,18,4,8,19,18,15,8,11,18,1,8,38,10,10,8,6,10,1,8,62,10,7,8,5,10,7,8,10,10,2,8,15,10,1,8,6,10,11,8,8,10,5,8,7,10,14,8,8,10,10,8,4,10,5,8,3,10,34,8,4,10,60,8,17,10,13,8,4,10,27,8,5,10,3,8,15,10,24,8,1,10,4,8,9,10,148,8,8,10,6,8,2,10,10,8,4,10,9,8,10,10,6,18,1,4,11,10,12,8,5,10,21,4,2,19,4,4,761,},
{4,660,19,7,4,3,10,10,8,1,14,2,3,1,14,1,15,1,8,1,10,1,8,3,15,7,14,2,16,1,17,1,14,21,17,3,14,7,15,2,8,4,10,14,8,2,18,2,14,1,3,5,14,3,15,1,18,1,8,6,15,1,14,3,15,1,8,2,15,2,14,5,16,6,14,2,15,2,14,1,17,1,16,32,17,1,14,1,16,7,17,1,14,3,17,1,16,11,14,3,16,8,14,5,17,2,16,14,14,1,15,1,8,2,15,1,14,3,16,9,3,1,14,1,15,2,14,7,16,4,17,1,14,1,15,2,14,1,16,23,17,1,16,1,17,1,14,1,17,1,16,7,17,1,16,9,14,4,17,1,16,11,17,1,14,2,17,1,16,1,14,1,3,1,16,2,14,2,15,1,8,1,9,1,10,2,8,1,14,1,16,5,14,2,16,3,17,1,14,1,8,1,10,2,8,1,14,2,15,1,8,5,15,1,14,5,16,17,17,1,14,2,17,1,16,14,14,1,3,1,16,2,3,1,14,1,15,1,8,2,9,1,8,3,10,2,8,2,18,5,15,2,18,2,15,8,14,3,3,2,14,6,15,2,8,2,10,4,8,3,18,2,15,2,14,1,15,1,18,1,8,1,10,1,8,1,18,1,15,2,18,1,8,3,18,1,14,1,3,5,14,3,18,4,8,4,10,8,8,2,18,2,14,8,18,3,8,2,18,2,8,1,10,8,8,1,18,2,10,4,8,2,10,2,8,1,18,2,8,1,10,10,8,1,9,1,10,7,8,1,18,1,15,1,18,1,15,1,14,3,3,5,14,4,3,6,14,2,3,4,14,106,3,4,14,23,15,10,14,17,15,1,18,1,8,2,18,1,15,1,14,2,15,5,18,5,15,1,18,3,15,1,14,2,18,2,8,2,18,2,15,1,18,2,8,3,18,5,15,4,18,4,8,17,18,17,8,49,10,12,8,3,10,3,8,61,10,7,8,6,10,7,8,9,10,2,8,11,10,6,8,5,10,10,8,6,10,9,8,6,10,14,8,8,10,56,8,4,10,50,8,1,10,8,8,9,10,2,8,7,10,45,8,3,10,4,8,17,10,22,8,1,10,3,8,10,10,150,8,5,10,6,8,3,10,10,8,4,10,10,8,8,10,7,18,1,4,10,10,3,8,2,10,9,8,4,10,21,4,3,19,3,4,761,},
{4,660,19,7,4,3,18,1,10,10,18,1,14,1,3,1,14,1,15,1,8,1,10,1,8,3,15,3,14,2,15,2,14,2,17,2,14,12,17,1,14,4,17,7,14,7,15,2,8,5,10,12,8,2,18,3,14,1,3,3,14,2,18,3,14,1,18,1,8,1,10,4,8,1,15,1,14,4,15,4,8,2,15,1,14,1,3,1,16,5,14,2,15,3,14,1,16,23,14,2,16,17,17,1,14,2,17,1,16,12,17,1,14,1,16,8,17,1,14,4,17,1,16,14,14,2,15,1,8,2,15,1,14,2,3,1,16,10,14,1,15,1,8,1,15,1,14,6,16,5,14,1,15,3,14,1,16,26,17,1,16,17,17,1,14,4,16,12,17,2,16,4,3,1,14,3,15,1,8,2,9,2,10,1,8,1,14,1,16,3,17,1,14,3,16,2,17,1,14,2,8,1,10,2,8,1,14,1,15,1,8,3,18,1,15,1,18,1,15,1,14,5,16,35,3,1,16,4,14,1,15,1,8,2,10,7,8,4,18,3,15,4,14,7,3,2,16,6,14,5,15,1,8,2,10,3,8,4,18,1,15,1,14,3,15,1,8,1,10,2,8,1,18,1,14,2,15,1,18,1,15,1,14,1,3,6,14,5,18,4,8,2,10,8,8,3,18,2,14,7,18,2,8,4,18,2,8,1,10,7,8,1,18,2,8,1,10,4,8,1,10,2,18,3,8,2,10,16,8,1,10,1,8,1,18,1,15,3,14,3,3,5,14,4,3,6,14,2,3,4,14,106,3,4,14,22,15,1,8,1,15,7,14,19,15,1,18,2,8,1,18,2,15,2,14,3,15,2,18,5,15,2,18,2,15,1,14,2,18,2,8,2,18,2,15,1,18,2,8,5,18,4,15,3,18,9,8,9,18,21,8,48,10,12,8,4,10,1,8,62,10,7,8,7,10,6,8,10,10,1,8,10,10,7,8,5,10,10,8,5,10,12,8,4,10,14,8,7,10,58,8,3,10,59,8,18,10,44,8,2,10,7,8,18,10,20,8,2,10,2,8,10,10,151,8,3,10,7,8,4,10,10,8,2,10,11,8,2,10,4,8,1,10,8,18,1,4,10,9,1,8,4,10,9,8,4,10,6,8,2,10,14,4,2,19,3,4,761,},
{4,660,19,8,4,2,18,2,10,9,8,1,14,1,3,2,14,1,8,1,10,1,8,4,15,2,14,1,15,3,14,2,17,2,14,1,15,1,14,2,15,1,14,7,17,1,14,4,17,3,14,11,15,3,18,1,8,4,10,11,8,2,18,3,14,1,3,2,14,1,18,5,14,1,18,1,10,5,8,1,18,1,14,7,15,1,8,2,15,1,14,1,16,4,14,2,15,4,14,2,16,22,17,1,14,2,16,18,17,2,16,14,17,1,16,9,14,3,16,15,14,1,15,2,8,3,15,1,14,1,3,1,16,5,17,1,16,4,14,1,15,1,8,2,15,1,14,1,3,1,14,4,16,5,14,1,15,3,14,1,16,12,17,1,14,2,16,11,17,1,16,18,14,2,17,1,16,19,3,1,14,1,15,2,8,7,14,2,16,1,17,1,14,4,16,2,17,1,14,2,8,1,10,2,8,6,14,9,16,30,17,1,16,9,14,2,18,1,8,1,10,7,8,5,18,1,15,3,14,4,3,5,16,9,17,1,14,4,15,1,8,2,10,1,9,1,8,5,15,1,14,4,18,1,8,1,10,1,8,1,18,1,14,1,3,1,14,3,3,3,14,2,3,3,14,4,18,5,8,1,10,8,8,4,18,2,14,4,18,4,8,1,10,2,8,1,18,2,8,2,10,7,8,3,10,7,8,1,18,2,8,3,10,14,8,2,10,1,8,1,18,1,15,2,14,4,3,5,14,4,3,5,14,3,3,4,14,7,3,1,14,98,3,4,14,22,15,1,8,2,15,5,14,21,15,2,18,1,8,2,18,2,15,1,14,2,15,1,18,2,8,3,18,14,15,1,18,3,8,4,18,17,8,8,18,2,14,2,18,17,8,48,10,12,8,3,10,3,8,60,10,8,8,7,10,7,8,23,10,4,8,5,10,11,8,3,10,15,8,1,10,16,8,6,10,59,8,2,10,58,8,19,10,44,8,2,10,6,8,8,10,2,8,10,10,2,8,2,10,14,8,15,10,152,8,1,10,8,8,4,10,39,4,10,8,5,10,9,8,4,10,6,8,2,10,14,4,766,},
{4,661,19,7,4,2,18,2,10,9,8,1,14,1,3,2,14,1,15,1,8,5,15,6,14,1,17,1,16,1,17,1,14,1,15,1,14,2,15,2,14,8,7,2,14,3,6,1,14,12,15,2,8,8,10,9,8,1,18,4,14,2,18,1,8,1,10,1,8,2,18,3,8,1,10,4,8,1,18,1,14,3,3,3,14,1,15,1,8,2,15,1,14,1,16,4,14,2,15,4,14,2,16,22,17,1,14,2,16,43,17,1,14,2,16,15,14,1,15,1,8,4,15,1,14,1,3,2,16,5,17,1,16,4,14,1,15,1,8,1,15,1,14,1,3,1,16,1,14,4,16,5,14,2,15,1,14,2,16,12,14,3,16,11,14,2,16,16,17,3,16,20,14,1,15,1,8,2,9,1,10,1,9,1,8,1,15,1,8,1,15,1,14,7,16,3,14,2,15,1,8,1,10,2,8,5,18,1,3,2,14,1,15,2,14,3,16,31,17,4,16,4,3,3,14,2,8,1,10,7,8,5,18,2,15,1,14,3,3,2,16,17,14,2,15,1,8,9,15,1,14,1,3,3,14,1,8,3,14,1,3,2,14,6,15,2,14,1,3,1,14,3,18,6,8,2,10,1,8,3,10,4,8,1,10,2,8,3,18,3,8,4,18,1,8,1,10,3,8,4,10,8,8,2,10,8,8,1,18,3,8,2,10,13,8,2,10,1,8,1,18,2,15,1,14,8,3,2,14,3,3,4,14,3,3,5,14,7,3,1,14,13,3,2,14,27,3,3,14,29,3,1,14,24,3,2,14,23,15,5,14,18,15,2,14,6,15,1,18,1,8,14,18,4,8,2,18,11,8,6,18,6,15,3,14,2,18,3,8,7,18,3,14,2,18,9,8,4,18,5,8,47,10,12,8,3,10,3,8,60,10,7,8,9,10,7,8,30,10,12,8,3,10,33,8,4,10,61,8,5,10,6,8,2,10,46,8,3,10,1,8,15,10,43,8,3,10,6,8,8,10,3,8,8,10,4,8,1,10,16,8,13,10,152,8,1,10,11,8,1,10,21,8,2,10,16,4,10,10,1,8,1,9,1,8,1,10,20,8,3,10,13,4,766,},
{4,662,19,6,4,7,10,6,8,1,14,1,3,3,15,1,8,6,15,4,14,2,16,3,14,1,15,1,14,2,15,1,7,1,14,8,7,3,14,16,15,1,8,1,10,2,8,3,18,1,8,2,10,9,8,1,18,3,14,2,8,1,10,3,8,4,18,3,8,3,18,1,15,1,14,2,3,1,16,3,14,1,15,2,14,3,16,3,14,3,15,2,8,1,15,1,14,1,16,23,14,2,16,43,14,3,16,15,14,1,8,1,10,1,8,1,15,1,8,1,15,1,14,1,3,3,17,1,16,6,17,1,14,2,15,2,14,1,3,1,16,2,14,4,16,4,17,1,14,2,15,1,14,2,16,12,14,1,15,1,14,1,17,1,16,9,17,1,14,2,17,1,16,15,17,1,14,1,16,19,17,1,16,1,14,1,15,1,9,1,10,4,8,1,15,3,14,5,16,5,14,1,15,1,8,2,10,2,8,5,18,1,3,2,14,1,18,1,15,1,14,2,16,32,14,4,17,1,16,2,3,1,14,1,3,3,14,1,8,1,10,8,8,5,18,1,15,1,14,2,3,2,16,18,17,1,14,1,15,1,8,8,18,1,14,1,3,4,14,1,18,1,8,1,18,1,14,1,3,2,15,1,8,1,18,1,15,2,8,1,10,1,8,1,14,1,3,2,14,2,18,4,8,2,10,3,8,2,18,1,8,1,10,15,8,3,10,8,8,1,10,6,8,1,10,10,18,3,8,2,10,16,8,1,18,3,14,11,3,5,14,5,3,4,14,3,3,1,14,2,3,2,14,2,3,2,17,1,14,7,3,3,14,6,3,2,14,18,3,4,14,26,3,2,14,73,15,4,14,8,15,1,8,10,18,5,8,4,18,2,15,1,18,2,8,3,18,2,8,8,18,5,15,1,14,2,18,5,8,6,18,14,8,5,18,5,8,46,10,13,8,2,10,3,8,60,10,6,8,10,10,8,8,29,10,12,8,5,10,9,8,1,10,22,8,3,10,9,8,2,10,11,8,2,10,38,8,4,10,6,8,1,10,46,8,4,10,2,8,4,18,1,8,3,18,3,8,2,10,5,8,2,10,37,8,5,10,4,8,8,10,5,8,4,10,24,8,13,10,139,8,1,10,4,8,1,10,5,8,2,10,11,8,2,10,19,8,3,10,16,4,11,18,2,10,21,8,3,10,13,4,4,19,2,4,760,},
{4,663,19,6,4,7,18,2,10,3,8,1,14,1,3,3,14,1,8,2,9,1,8,3,15,2,14,1,15,1,14,3,16,2,14,13,7,1,8,3,7,1,14,3,7,3,14,10,18,1,8,5,18,1,8,2,10,9,8,4,18,2,8,1,10,6,8,1,18,1,14,2,15,1,18,2,15,1,14,3,3,1,16,3,14,1,15,1,14,4,16,4,3,1,14,2,15,1,8,1,15,1,14,1,16,23,17,2,16,33,14,1,17,1,16,7,17,1,14,2,16,16,14,1,8,1,10,1,8,1,15,2,14,2,3,2,14,1,17,1,16,5,17,1,14,4,16,4,14,5,16,4,14,6,16,12,14,1,15,2,14,1,16,9,14,1,15,2,14,1,17,1,16,34,17,1,14,3,8,1,10,4,8,2,15,1,14,6,16,5,14,2,15,1,8,5,15,1,14,1,15,1,8,1,18,1,14,3,15,2,14,1,16,33,14,4,16,3,14,2,3,1,16,1,3,1,14,1,15,1,8,1,10,3,8,8,15,2,14,3,3,1,16,20,17,1,14,1,15,2,18,6,15,1,14,1,3,2,16,1,3,2,14,1,15,1,14,1,3,2,14,1,8,1,10,7,18,1,14,3,18,3,8,3,10,4,8,1,18,3,8,1,10,1,8,3,10,28,8,1,10,10,18,3,8,3,9,1,10,12,8,1,10,1,8,2,18,1,15,1,14,13,3,1,14,6,3,5,14,3,3,1,14,2,3,3,14,10,3,4,14,6,3,2,14,18,3,3,14,26,3,3,14,81,15,1,14,3,15,1,8,8,18,2,15,1,18,4,8,4,18,2,15,1,18,2,8,3,18,2,8,11,18,12,8,3,18,15,8,6,18,4,8,46,10,13,8,1,10,4,8,60,10,5,8,11,10,9,8,28,10,12,8,5,10,32,8,1,10,10,8,3,10,11,8,2,10,38,8,4,10,53,8,8,18,2,14,1,18,5,8,3,10,5,8,2,10,37,8,5,10,4,8,8,10,32,8,13,10,144,8,1,10,6,8,2,10,32,8,2,10,17,4,14,10,36,4,3,19,4,4,759,},
{4,666,19,2,4,7,18,1,3,2,18,1,9,1,10,1,9,1,18,1,14,1,3,2,14,1,15,1,8,1,10,1,8,3,15,1,14,3,15,2,14,2,17,1,14,14,8,4,14,3,7,1,15,2,7,1,14,2,17,1,14,7,15,2,8,7,10,8,8,2,10,11,8,1,18,1,14,4,15,1,14,6,16,2,14,6,16,4,3,1,14,2,15,3,14,1,3,1,16,19,17,1,14,3,17,1,16,8,17,2,16,22,17,1,14,2,16,6,17,1,14,2,16,17,14,1,8,1,10,1,8,1,15,1,14,2,17,2,14,1,17,1,16,7,14,1,15,1,14,1,16,4,14,2,15,2,14,1,16,5,3,1,14,1,3,1,14,4,3,1,17,1,16,9,14,1,15,2,14,1,17,1,16,8,14,1,15,3,14,1,16,7,17,4,16,22,3,1,14,2,3,1,14,1,8,1,9,1,10,3,8,1,14,4,15,1,14,2,16,4,3,4,14,2,18,1,8,2,14,3,15,4,14,1,15,1,14,2,17,1,16,33,14,2,17,1,16,4,17,4,14,2,15,1,8,11,15,2,14,3,17,1,16,14,17,2,16,7,14,2,8,3,15,4,14,2,3,1,16,1,3,2,14,5,15,1,8,1,10,7,8,1,15,1,8,4,18,1,8,3,10,4,8,1,18,3,8,6,10,11,8,3,10,12,8,2,10,10,18,4,8,1,18,4,8,1,10,8,8,2,10,2,8,1,18,1,14,4,15,3,14,14,3,7,14,1,3,8,14,7,3,3,14,139,15,2,8,4,15,5,8,1,15,6,14,1,15,2,8,4,15,7,18,5,8,16,18,5,8,76,10,1,8,1,10,11,8,64,10,3,8,10,10,12,8,11,10,3,8,15,10,10,8,13,10,5,8,2,10,8,8,5,10,16,8,3,10,10,8,1,10,1,8,1,10,96,8,6,18,1,14,4,18,2,8,6,10,26,8,3,10,23,8,8,10,30,8,14,10,107,8,2,10,3,8,1,10,31,8,1,10,30,8,2,10,28,4,14,10,4,8,2,10,30,4,3,19,4,4,759,},
{4,675,18,1,3,3,18,1,9,1,10,1,8,1,14,2,3,1,14,1,15,1,8,5,7,1,14,3,15,1,8,1,15,1,14,10,7,3,14,3,7,1,8,3,15,1,14,2,15,1,8,3,7,1,14,2,17,1,14,7,15,2,8,2,15,2,8,2,10,21,8,1,18,2,14,8,15,1,14,2,17,1,14,6,16,4,3,1,14,3,15,2,14,1,3,1,16,8,17,2,14,3,16,7,17,1,14,1,17,1,16,9,17,1,16,23,14,3,16,4,14,5,16,12,14,6,8,1,10,1,8,1,14,2,16,3,17,1,16,8,14,1,15,1,14,1,16,4,14,1,15,2,14,2,3,1,16,4,3,4,14,6,16,7,14,1,15,3,14,2,16,8,14,1,15,1,8,2,14,1,16,6,17,1,14,3,6,1,17,1,16,10,17,2,16,2,14,2,16,4,3,1,14,5,15,1,8,4,15,1,14,4,15,1,14,1,3,1,16,3,3,2,14,2,3,1,14,2,18,2,15,1,3,2,14,1,15,4,14,3,17,1,16,35,17,1,16,4,17,4,14,3,15,1,8,10,7,2,14,2,16,17,14,3,17,1,16,6,14,1,15,1,8,2,15,1,14,5,3,6,14,2,15,1,8,1,10,8,8,9,10,5,8,2,18,2,8,2,18,2,8,1,10,13,8,1,18,1,8,2,10,11,8,1,10,9,8,1,18,3,8,3,18,1,3,2,18,1,10,8,8,1,18,1,10,2,8,1,18,1,14,4,15,7,14,9,3,2,14,3,3,4,14,3,3,4,14,7,3,3,14,139,15,2,8,6,15,1,14,5,15,4,14,3,15,19,18,2,8,15,18,1,8,19,18,1,8,57,10,14,8,48,10,1,8,27,10,12,8,11,10,4,8,14,10,9,8,14,10,4,8,4,10,7,8,8,10,29,8,3,10,10,8,3,10,72,8,3,10,1,8,3,10,3,8,4,18,2,14,2,18,2,8,7,10,26,8,3,10,19,8,11,10,16,8,2,10,13,8,6,10,1,8,1,10,1,8,1,10,44,8,4,10,63,8,2,10,3,8,1,10,2,8,2,10,6,8,2,10,17,8,3,10,29,8,4,10,28,4,3,18,1,4,10,10,1,18,4,10,11,8,3,10,16,4,3,19,4,4,759,},
{4,675,18,1,3,3,18,1,8,1,9,1,8,1,15,1,14,4,7,4,8,1,7,1,14,3,15,1,8,2,14,9,7,2,8,1,7,2,14,3,7,3,14,3,15,2,8,1,15,1,14,3,17,1,14,6,15,6,8,4,10,20,8,1,18,2,15,1,14,2,15,7,14,8,16,4,3,1,14,3,15,2,14,1,3,1,16,6,14,8,16,41,17,1,14,3,16,3,14,6,16,11,14,2,15,1,14,3,15,1,8,1,9,1,15,1,14,2,16,11,17,1,14,3,16,4,14,6,16,4,3,4,14,2,15,1,14,3,17,1,16,6,14,1,15,1,8,1,15,1,14,2,16,8,14,1,15,1,8,2,14,1,16,6,14,1,7,1,14,1,17,2,16,11,17,1,14,4,16,4,14,7,15,4,14,8,3,1,16,1,3,3,14,4,18,2,8,1,18,1,14,1,3,2,14,1,18,1,8,1,15,1,14,2,16,45,17,2,14,2,15,1,8,11,15,2,14,1,17,1,16,17,17,1,14,2,17,1,16,6,14,1,15,1,8,3,15,1,14,3,3,7,14,1,15,1,18,1,8,1,10,8,8,6,10,8,8,2,18,2,8,1,18,3,8,1,10,6,8,2,10,5,8,1,18,1,14,1,18,1,8,1,10,20,8,1,18,2,8,1,10,3,18,3,8,1,10,8,8,2,10,2,8,1,18,1,15,1,14,2,15,4,14,1,15,1,7,1,15,1,7,1,14,8,3,1,14,4,3,3,14,15,3,3,14,132,15,11,8,3,7,6,15,3,7,2,14,3,15,16,14,3,15,3,18,9,8,18,18,2,8,3,18,5,8,55,10,15,8,77,10,10,8,1,10,1,8,27,10,8,8,16,10,4,8,2,10,8,8,6,10,31,8,3,10,8,8,5,10,76,8,3,10,3,8,5,18,4,8,6,10,29,8,1,10,18,8,12,10,17,8,1,10,15,8,1,10,52,8,4,10,68,8,1,10,3,8,1,10,57,8,3,10,32,8,1,18,1,4,9,18,1,10,15,8,6,10,13,18,1,4,2,19,4,4,759,},
{4,676,3,3,14,1,18,1,8,2,15,1,14,7,7,1,15,1,7,1,14,3,15,1,8,2,14,2,17,1,14,2,7,1,14,3,7,1,8,3,7,2,14,8,15,4,14,10,15,6,8,5,10,12,8,1,10,5,8,1,18,2,14,5,15,6,14,4,17,2,14,1,17,1,16,5,14,2,15,1,8,2,14,1,3,1,16,5,14,2,15,1,14,2,15,2,14,2,16,39,17,1,14,5,16,3,14,5,16,11,14,2,15,1,8,2,15,3,8,1,15,1,14,3,17,2,16,7,17,2,16,1,17,1,14,2,16,3,14,8,3,2,16,3,3,1,14,2,15,4,14,2,16,6,14,1,15,1,8,1,15,1,14,1,17,1,16,8,14,1,15,1,8,1,15,1,14,1,16,5,14,1,15,1,7,1,14,1,16,13,17,1,14,3,17,2,16,1,14,2,15,1,8,2,15,1,14,2,15,3,14,9,3,3,14,5,15,1,18,1,8,4,14,1,3,2,18,1,8,2,15,1,17,1,16,47,17,1,14,2,15,1,8,7,18,2,15,2,14,3,16,19,17,1,14,3,17,1,16,5,14,1,15,2,8,1,15,1,14,3,3,7,14,1,18,2,8,1,10,8,8,6,10,9,8,1,18,6,8,1,10,6,8,3,10,5,8,1,14,2,18,1,8,1,10,18,8,2,18,1,8,1,10,4,8,1,18,2,10,10,8,1,10,3,8,1,18,1,14,2,15,3,14,20,3,2,14,15,3,3,14,131,15,2,8,5,15,16,7,4,14,2,15,16,14,5,15,4,18,1,15,5,18,1,8,16,18,4,8,2,18,4,8,55,10,17,8,77,10,9,8,25,10,1,8,3,10,7,8,17,10,14,8,6,10,32,8,2,10,7,8,6,10,76,8,20,10,49,8,12,10,17,8,1,10,69,8,2,10,73,8,1,10,58,8,1,10,21,8,1,10,11,8,1,9,1,4,8,18,2,10,16,8,7,10,13,4,1,19,3,4,760,},
{4,676,18,1,3,2,14,1,18,1,15,2,14,9,15,1,7,1,14,3,7,1,15,2,14,1,16,2,17,1,14,1,7,2,14,1,7,3,8,3,7,1,14,7,15,4,14,11,15,1,14,2,15,3,8,6,10,11,8,2,10,3,8,1,18,1,14,1,3,6,14,1,15,5,14,5,17,2,16,6,14,2,15,1,9,1,8,1,15,1,3,1,16,4,14,2,15,4,8,1,15,2,14,1,16,37,17,1,14,2,15,2,14,2,16,4,14,5,16,10,14,2,15,1,8,5,15,2,14,2,16,1,14,4,17,1,16,4,17,1,14,2,16,2,17,1,14,1,17,2,14,4,16,1,3,1,14,4,3,1,16,3,3,1,14,2,15,4,14,2,16,5,17,1,14,1,15,1,8,1,15,1,14,1,16,9,14,1,15,2,14,1,16,5,14,1,8,2,7,1,14,1,16,14,17,1,16,3,14,4,8,1,10,1,8,1,15,1,14,1,15,1,8,3,15,1,14,1,15,3,14,4,3,3,14,1,15,1,14,3,15,1,18,1,8,1,10,2,8,1,15,1,14,2,18,1,8,2,14,1,16,48,17,1,14,2,15,4,8,1,15,4,14,5,16,20,17,1,14,4,17,1,16,4,17,1,14,1,15,1,8,2,15,1,14,2,3,1,14,2,3,2,16,1,3,1,14,1,18,2,8,1,10,8,8,6,10,9,8,2,18,4,8,2,10,6,8,3,10,5,8,1,14,2,18,1,10,7,8,2,10,2,8,2,10,4,8,6,10,5,8,2,10,10,8,1,10,3,8,1,18,2,15,3,14,21,3,2,14,5,3,1,14,9,3,3,14,132,15,2,8,4,15,2,14,6,15,11,14,3,15,16,14,6,15,3,18,6,8,16,18,5,8,60,10,19,8,45,10,1,8,31,10,6,8,31,10,6,8,18,10,15,8,4,10,21,8,4,10,18,8,5,10,79,8,17,10,50,8,11,10,161,8,2,10,23,8,1,10,69,9,1,4,9,10,4,8,1,10,13,8,6,10,13,4,764,},
{4,675,18,5,15,1,14,11,7,2,14,6,17,1,16,2,17,1,14,1,7,7,8,2,7,1,14,7,15,3,14,7,17,1,6,1,14,7,15,2,8,6,10,11,8,5,18,2,14,1,3,6,14,4,15,3,14,4,17,1,16,7,14,2,15,1,9,2,15,1,14,1,16,4,14,2,15,3,8,3,14,1,17,1,16,37,14,1,15,1,8,3,14,1,17,1,16,4,14,4,16,10,14,1,15,1,8,7,15,1,14,1,17,1,16,2,17,1,14,4,17,1,16,3,17,1,14,1,17,1,16,3,17,1,14,4,17,1,16,2,3,1,14,1,15,1,14,2,16,3,3,1,14,3,15,1,18,1,15,2,14,2,16,5,17,1,14,1,15,2,14,2,16,9,14,1,15,1,14,1,17,1,16,5,15,1,8,2,14,2,16,18,14,3,15,1,8,1,10,1,9,1,15,2,8,5,15,4,14,2,3,1,14,4,15,5,18,1,8,2,10,2,8,1,18,1,14,2,18,1,8,1,15,1,14,1,16,49,17,1,14,5,15,3,14,2,3,2,16,24,14,2,15,1,14,2,17,1,16,5,14,1,15,1,8,1,15,1,14,2,3,1,14,1,3,5,14,1,18,2,8,6,10,2,8,6,10,11,8,1,18,3,8,4,10,14,18,2,8,1,10,7,8,2,10,1,8,1,18,2,10,3,8,4,10,19,8,2,10,4,8,1,18,1,15,1,14,9,17,1,14,18,3,5,14,7,3,3,14,132,15,6,14,9,15,9,14,4,15,18,14,1,15,6,18,6,8,8,18,1,8,6,18,1,15,2,18,3,8,60,10,19,8,45,10,2,8,30,10,6,8,32,10,4,8,18,10,17,8,3,10,19,8,7,10,17,8,5,10,79,8,17,10,48,8,14,10,10,8,4,10,24,8,2,10,120,8,2,10,22,8,2,10,32,8,1,10,36,8,1,18,1,4,8,10,3,8,4,10,12,8,5,10,13,4,764,},
{4,674,18,6,15,1,14,2,3,1,14,6,6,1,14,2,7,4,14,2,17,1,16,3,17,1,14,2,7,2,14,3,7,1,8,2,7,1,14,7,15,3,14,7,17,2,14,7,15,2,8,6,10,12,8,2,18,1,8,2,18,2,14,2,15,1,14,1,3,2,14,5,15,2,14,4,17,1,16,7,14,2,8,1,9,2,15,1,14,1,16,5,14,2,15,3,8,1,15,1,14,1,16,38,14,1,8,1,9,1,10,1,8,1,14,1,16,6,14,3,16,9,14,2,8,6,15,2,14,2,16,3,17,1,14,5,16,4,17,1,16,4,14,4,16,4,14,2,15,1,14,2,16,2,3,1,14,3,15,5,14,2,16,5,17,1,14,1,15,2,14,2,16,8,17,1,14,3,16,5,17,1,15,1,8,1,7,1,14,2,16,11,17,2,16,4,14,4,15,1,8,1,9,1,8,1,15,2,8,2,10,2,8,2,15,3,14,2,3,1,14,2,15,2,14,2,15,2,18,3,8,5,15,2,18,1,15,1,14,1,16,51,17,2,14,7,3,1,16,26,17,1,14,5,17,1,16,4,3,1,15,1,8,2,15,1,14,4,3,4,14,2,18,2,8,11,10,14,8,1,18,2,8,7,10,11,8,3,10,8,8,2,18,1,14,1,18,1,8,1,10,1,8,4,10,26,8,2,18,1,14,9,17,2,14,16,3,7,14,6,3,3,14,112,15,3,14,10,15,2,14,20,15,8,14,5,15,24,18,3,8,11,18,3,8,4,18,1,15,1,14,1,15,1,18,2,8,61,10,19,8,44,10,3,8,30,10,6,8,9,10,3,8,7,10,1,8,1,10,1,8,12,10,2,8,17,10,40,8,7,10,19,8,3,10,80,8,16,10,44,8,8,10,3,8,8,10,9,8,4,10,10,8,2,10,12,8,3,10,109,8,1,10,9,8,2,10,22,8,2,10,25,8,1,10,6,8,1,10,38,9,1,18,4,9,1,10,5,8,4,10,13,8,2,10,15,4,764,},
{4,674,18,1,14,1,3,1,18,4,14,9,17,1,14,2,7,1,15,1,7,2,14,2,16,4,14,9,7,1,8,1,7,1,14,7,15,3,14,6,17,4,14,6,15,3,8,4,10,12,8,1,18,4,8,3,18,1,9,2,8,1,14,1,3,1,14,4,15,4,14,1,17,1,16,9,14,2,15,1,9,2,8,1,14,1,16,5,14,4,15,2,14,1,17,1,16,38,14,1,8,1,10,2,8,1,14,1,16,6,14,3,16,8,14,2,15,1,8,4,15,2,14,3,16,5,14,1,17,1,14,3,17,1,16,8,14,4,16,3,3,1,14,1,15,2,14,1,3,1,16,2,3,1,14,1,15,6,14,3,16,6,14,1,15,2,14,1,17,1,16,8,14,1,15,1,14,1,17,1,16,5,14,2,15,1,14,1,17,2,16,11,14,2,16,3,17,1,14,4,15,1,8,3,15,2,8,2,10,1,8,2,15,1,14,7,15,1,8,2,15,1,14,1,15,1,18,1,8,8,18,3,14,2,16,56,14,3,3,1,16,28,14,6,17,1,16,4,14,1,8,2,15,1,14,4,3,2,14,5,18,5,8,6,10,15,8,3,10,2,8,1,18,3,8,1,10,12,8,3,10,7,8,1,18,1,14,3,8,1,10,1,8,4,10,16,8,2,10,9,8,1,18,1,14,28,3,4,14,10,3,5,14,108,15,1,8,1,15,3,14,7,15,4,14,19,15,6,14,8,15,1,14,7,15,15,18,3,8,12,15,2,18,2,8,2,18,1,15,1,14,1,15,1,18,2,8,62,10,18,8,44,10,3,8,30,10,6,8,9,10,4,8,5,10,5,8,11,10,2,8,3,10,1,8,13,10,40,8,8,10,101,8,16,10,44,8,1,10,1,8,8,10,1,8,9,10,9,8,4,10,9,8,3,10,11,8,1,10,144,8,3,10,25,8,1,10,6,8,1,10,39,9,1,18,3,8,2,10,4,8,4,10,30,4,764,},
{4,674,18,1,3,2,14,1,15,1,18,1,15,3,14,7,17,1,14,2,15,1,8,2,15,1,14,2,16,3,17,1,14,9,7,1,8,2,7,1,14,6,15,2,14,7,17,4,14,5,15,5,8,2,10,12,8,1,18,5,8,2,9,1,10,4,15,1,14,5,15,1,8,2,15,1,14,1,16,9,3,1,14,2,15,1,8,1,9,1,8,1,14,1,16,5,14,7,16,39,14,1,15,1,8,1,9,1,8,1,14,1,16,6,14,3,16,7,17,1,14,1,15,1,8,4,15,2,14,4,16,9,17,2,16,8,14,3,16,4,14,2,15,1,14,2,3,1,16,2,14,1,15,2,8,1,15,4,14,4,16,5,14,2,15,1,14,1,17,1,16,7,14,1,15,2,14,1,16,6,17,1,14,2,17,1,16,1,17,1,16,11,14,2,16,2,14,7,15,6,8,2,15,1,14,1,3,2,14,2,15,3,8,4,15,1,14,1,15,1,8,9,15,3,14,2,17,1,16,28,17,2,16,46,17,1,16,10,14,7,16,4,14,1,15,2,14,11,18,5,8,2,10,20,8,3,10,2,8,2,18,2,8,2,10,11,8,4,10,6,8,1,15,1,3,1,14,2,8,6,10,3,8,2,10,11,8,2,10,9,8,1,18,1,14,42,3,5,14,33,15,2,14,73,8,3,15,2,14,6,15,5,14,42,15,1,14,5,15,9,18,2,8,5,18,1,8,6,18,2,15,1,18,1,8,2,18,1,15,2,18,2,8,64,10,17,8,45,10,2,8,30,10,4,8,11,10,4,8,4,10,6,8,13,10,6,8,1,10,5,8,5,10,14,8,4,10,4,8,1,10,17,8,8,10,102,8,15,10,43,8,21,10,9,8,3,10,9,8,3,10,157,8,3,10,6,8,2,10,16,8,2,10,40,8,3,10,3,8,1,9,1,18,2,8,2,10,6,8,1,10,31,4,764,},
{4,674,18,1,3,3,14,2,15,2,8,1,15,2,14,2,17,4,14,2,15,1,8,1,15,2,14,1,17,1,16,3,17,3,14,7,7,1,8,2,7,1,14,6,15,2,14,7,17,4,14,5,15,5,8,2,10,12,8,1,18,6,8,1,9,1,10,3,9,1,14,1,3,3,14,2,8,1,10,1,9,1,15,1,14,1,16,9,14,4,15,1,8,2,14,1,16,6,14,5,16,21,17,2,16,17,17,1,14,1,15,1,8,1,15,1,14,1,16,5,17,1,14,3,16,7,14,2,8,3,15,2,14,3,16,1,17,1,16,11,17,1,16,8,14,3,16,4,14,2,15,1,14,2,3,1,16,1,3,1,14,1,15,1,8,2,15,4,14,6,16,3,14,2,15,1,14,2,16,6,14,1,15,3,14,1,16,7,17,2,16,13,17,1,14,7,15,12,14,1,3,1,16,2,3,1,14,1,8,2,10,4,8,1,15,1,14,1,15,1,8,4,10,2,8,3,15,3,14,3,17,1,16,27,6,1,17,1,16,45,17,1,14,1,17,1,16,9,14,7,16,4,14,6,15,3,14,4,18,2,8,5,10,27,8,5,10,11,8,1,18,2,8,1,10,6,8,1,14,1,3,1,14,1,15,1,8,5,10,3,8,1,18,2,8,1,10,10,9,2,10,9,8,1,18,1,14,5,15,1,14,36,3,2,16,1,3,2,14,32,15,4,14,72,8,3,15,2,14,8,15,3,14,48,15,3,14,5,15,2,18,8,8,5,18,1,15,2,18,9,8,67,10,9,8,49,10,2,8,30,10,4,8,12,10,3,8,6,10,4,8,14,10,11,8,6,10,12,8,5,10,4,8,2,10,16,8,8,10,104,8,13,10,43,8,21,10,9,8,3,10,9,8,3,10,157,8,2,10,7,8,2,10,16,8,2,10,47,8,2,18,2,9,1,8,1,10,36,4,765,},
{4,665,19,5,4,3,18,1,3,3,14,4,15,1,8,3,14,2,17,1,16,2,17,1,14,2,15,3,14,3,17,1,16,4,17,2,14,6,7,1,8,3,14,6,15,2,14,8,17,3,14,5,15,5,8,2,10,3,8,1,10,7,8,2,18,8,8,2,9,1,15,1,3,1,16,3,3,1,14,1,8,1,10,2,15,1,16,10,3,1,14,3,15,2,8,1,15,1,14,1,16,6,14,3,17,1,16,11,17,1,14,3,17,1,16,5,17,2,16,18,14,2,15,2,14,2,16,4,17,1,14,3,16,6,17,1,14,1,15,1,8,2,15,2,14,3,16,15,17,1,16,5,17,3,14,1,16,4,14,6,3,1,16,1,3,1,14,1,15,1,8,2,15,4,14,6,16,2,14,2,15,2,14,2,16,6,14,1,8,2,15,1,14,1,16,22,14,2,15,1,14,5,15,2,8,4,15,2,14,1,15,2,14,2,16,3,3,1,14,1,8,1,10,5,8,1,15,3,8,3,10,3,8,3,18,3,15,2,14,2,16,27,17,1,16,46,17,3,14,3,16,5,14,8,17,1,16,3,14,6,15,1,8,2,15,1,14,2,18,1,8,2,10,1,8,3,10,29,8,5,10,10,8,1,18,2,10,7,8,1,14,3,18,1,8,1,10,1,8,2,10,3,8,1,15,1,14,1,15,1,8,1,10,21,8,2,15,1,14,3,15,3,14,35,3,2,16,1,3,2,14,32,15,3,14,73,15,1,8,1,15,2,14,17,15,1,14,43,15,1,14,7,15,2,18,4,15,2,18,1,8,5,18,1,15,3,18,5,15,2,18,2,8,68,10,1,8,55,10,1,8,34,10,1,8,11,10,3,8,25,10,7,8,1,10,1,8,9,10,11,8,5,10,4,8,3,10,15,8,7,10,20,8,1,10,85,8,7,10,3,8,1,10,44,8,20,10,181,8,3,10,6,8,3,10,16,8,2,10,47,8,2,18,3,9,1,10,35,4,3,19,3,4,760,},
{4,663,19,7,4,3,18,1,14,4,3,2,14,1,15,1,8,1,10,1,8,2,15,1,14,1,16,3,14,2,15,2,14,4,17,2,16,4,17,1,14,5,7,2,8,3,15,1,14,6,15,2,14,11,17,1,14,7,15,2,8,6,10,7,8,5,18,7,14,1,3,1,16,4,14,1,9,1,10,1,8,1,14,1,16,11,14,4,15,3,14,1,17,1,16,6,17,1,14,2,16,11,17,1,14,4,16,5,17,2,16,19,17,1,14,4,16,4,17,1,14,3,16,6,14,2,15,3,14,4,16,16,17,2,16,3,17,1,14,1,17,2,16,4,14,7,3,1,16,1,3,1,14,1,15,2,8,1,15,4,14,2,15,3,14,2,3,1,14,2,15,2,14,3,16,4,14,1,8,3,14,2,16,21,14,2,15,1,8,1,15,2,14,3,15,1,8,1,10,3,8,1,18,1,15,4,14,1,3,1,16,2,3,1,14,1,15,1,9,1,10,5,8,1,15,3,8,3,10,3,8,6,15,2,14,2,16,74,14,1,17,1,14,4,17,1,16,3,14,6,17,2,14,3,17,2,16,3,17,1,14,1,15,1,8,1,10,2,8,1,14,2,8,1,10,35,8,5,10,10,8,3,10,7,8,1,14,2,15,1,8,2,10,1,8,5,18,1,14,3,18,1,8,1,10,13,8,4,10,4,8,1,18,1,15,1,14,1,15,3,14,36,3,4,14,109,15,3,14,18,15,4,14,39,15,2,14,7,15,8,18,1,8,6,18,1,15,4,18,3,15,3,18,2,8,15,18,2,8,171,10,5,8,6,10,8,8,10,10,10,8,5,10,4,8,2,10,16,8,6,10,21,8,1,10,86,8,5,10,53,8,5,18,4,8,5,10,183,8,3,10,5,8,4,10,15,8,3,10,48,8,1,18,3,9,1,8,1,10,33,4,2,19,5,4,760,},
{4,662,19,8,4,2,18,1,3,1,14,4,3,2,14,1,15,1,8,1,10,2,8,2,14,1,17,1,16,2,14,10,16,4,17,1,14,4,7,3,15,1,8,2,15,1,14,19,17,2,14,5,15,3,8,6,10,11,8,2,18,5,15,1,14,1,3,1,16,4,14,1,8,1,10,1,8,1,14,1,16,11,14,2,15,6,14,1,16,6,17,1,14,2,17,1,16,11,17,4,16,3,17,1,14,1,17,1,16,5,17,2,16,14,17,1,14,3,16,4,14,4,16,5,14,10,16,16,14,3,16,2,17,3,16,5,14,5,3,2,16,2,3,1,14,2,15,1,8,1,15,3,14,3,15,1,8,2,15,1,14,1,3,1,14,2,15,2,14,3,16,3,14,1,15,1,8,2,15,1,14,2,16,6,17,1,14,1,17,1,16,12,14,1,15,1,8,2,15,2,14,3,15,1,10,5,8,1,18,2,8,1,15,1,14,2,3,2,14,1,15,1,8,1,10,5,9,1,8,1,15,3,8,2,10,4,8,6,15,2,14,1,17,1,16,74,14,1,17,1,14,4,3,1,16,3,14,5,17,1,16,3,14,2,17,1,16,4,17,1,14,1,8,2,10,2,8,1,15,1,18,1,8,1,10,35,8,5,10,5,8,1,10,4,8,3,10,5,8,2,18,1,14,2,8,2,10,2,8,4,18,1,14,4,18,1,8,2,10,11,9,1,8,2,18,1,8,1,10,5,8,1,18,1,14,40,3,3,14,63,15,1,14,69,15,1,14,40,15,2,14,7,15,8,18,2,8,5,15,1,14,2,15,3,18,2,15,1,14,1,15,1,18,4,8,12,18,2,8,171,10,6,8,7,10,8,8,9,10,10,8,5,10,102,8,1,10,33,8,4,10,55,8,4,18,1,14,1,18,2,8,4,10,183,8,3,10,6,8,3,10,2,8,1,10,14,8,3,10,47,8,1,18,4,9,1,8,1,10,32,4,2,19,5,4,760,},
{4,662,19,8,4,2,18,1,3,1,14,1,15,1,14,2,3,2,14,1,15,1,8,1,10,2,8,2,15,1,14,1,16,1,17,2,14,10,16,3,17,2,14,2,7,3,14,1,15,2,8,2,14,19,17,2,14,5,15,3,8,6,10,11,8,2,18,1,8,3,18,1,15,1,14,1,3,1,16,4,14,1,8,2,14,1,16,12,14,2,15,4,8,2,15,1,17,1,16,6,14,3,16,18,17,1,14,1,17,1,16,6,17,1,16,15,14,3,17,1,16,3,14,4,16,4,17,1,14,4,17,1,16,3,17,1,14,1,16,16,14,3,16,10,17,1,14,3,16,6,3,1,14,1,15,1,8,1,15,1,14,5,15,1,8,2,15,1,14,4,15,1,8,1,15,1,14,2,16,3,14,1,15,1,8,2,15,1,14,4,16,3,14,4,16,4,14,3,16,5,14,1,8,3,15,1,14,4,8,1,10,4,8,3,10,1,8,2,14,2,3,1,14,1,15,1,8,1,10,5,8,2,15,1,14,1,15,1,8,1,10,5,8,3,15,1,8,2,15,1,14,2,16,75,14,10,3,1,14,5,3,1,16,3,17,2,16,5,14,1,15,1,8,2,10,2,8,3,10,29,8,7,10,9,8,8,10,6,8,1,18,1,14,2,15,1,8,1,10,2,8,4,18,1,15,1,14,4,15,2,8,2,10,12,8,1,18,1,8,2,10,4,8,2,15,1,14,7,15,1,14,184,15,3,14,21,15,3,14,6,15,5,14,2,15,1,18,2,8,5,18,1,15,1,14,3,15,1,18,2,14,2,15,3,18,5,8,10,18,3,8,105,10,2,8,12,10,2,8,48,10,6,8,7,10,9,8,8,10,10,8,5,10,101,8,3,10,6,8,2,10,24,8,3,10,5,8,3,10,49,8,4,18,2,8,4,10,19,8,2,10,162,8,4,10,5,8,4,10,2,8,1,10,15,8,3,10,47,18,6,9,2,10,6,8,4,10,20,4,2,19,5,4,760,},
{4,662,19,7,4,2,18,2,14,1,15,1,14,2,3,1,16,2,14,1,8,1,10,3,8,2,15,1,14,1,17,4,14,10,17,4,14,3,7,2,14,2,15,1,8,2,14,12,17,2,14,4,17,2,16,1,17,1,14,4,15,4,8,6,10,9,8,2,18,2,8,3,18,1,15,1,14,1,3,2,16,2,3,1,14,1,15,1,8,1,14,1,16,6,14,1,17,1,16,4,14,2,15,3,8,3,15,1,14,1,16,6,17,1,14,1,17,1,16,7,14,4,16,4,17,1,16,4,17,1,16,22,17,1,14,3,16,3,14,1,15,1,14,2,16,4,14,4,17,1,16,4,14,4,16,14,14,1,15,1,14,1,16,11,14,3,16,6,3,1,14,1,15,1,8,1,15,1,14,3,3,1,14,1,15,1,8,2,15,1,14,1,3,1,14,2,8,2,15,1,14,2,16,4,14,1,15,2,14,2,15,2,14,1,16,3,14,4,17,1,16,2,17,1,14,3,16,5,15,1,8,2,15,2,14,3,15,1,8,1,10,3,9,1,18,1,8,1,10,3,8,1,14,2,3,1,14,1,15,1,10,4,9,1,8,2,15,1,14,2,15,1,8,1,10,4,8,2,15,3,8,2,14,1,3,1,16,76,14,5,15,3,14,8,3,1,16,10,14,1,8,4,10,1,8,3,10,21,8,3,10,4,8,1,18,1,14,3,18,2,8,1,10,9,8,2,18,4,8,2,10,3,8,4,14,3,15,1,8,1,10,2,8,2,18,2,15,2,14,4,15,1,14,1,15,1,8,1,10,14,8,2,10,4,8,2,15,1,14,6,15,2,14,182,15,7,14,19,15,2,14,7,15,4,14,2,15,1,18,1,8,8,18,1,15,1,14,2,15,1,18,2,14,3,15,2,18,5,8,10,18,4,8,104,10,2,8,11,10,3,8,30,10,1,8,1,10,6,8,9,10,6,8,8,10,10,8,6,10,3,8,1,10,8,8,3,10,20,8,2,10,12,8,1,10,68,8,2,10,5,8,3,10,8,8,1,10,15,8,1,10,6,8,4,10,21,8,1,10,28,8,8,10,4,8,2,10,4,8,2,10,8,8,3,10,154,8,1,10,6,8,4,10,5,8,4,10,2,8,1,10,11,8,3,10,2,8,3,10,43,18,2,4,12,10,3,8,4,10,19,4,2,19,6,4,760,},
{4,662,19,6,4,3,18,2,15,2,14,2,3,1,16,1,3,1,14,1,15,1,8,1,10,2,8,3,7,1,14,1,17,1,16,2,17,1,14,10,17,3,14,8,15,2,14,3,3,1,14,8,17,3,14,3,17,5,14,3,15,4,8,7,10,4,8,4,18,4,8,3,18,1,15,1,14,2,3,2,16,2,14,1,15,2,14,2,16,5,14,2,16,4,14,1,15,4,8,2,15,1,14,2,16,7,17,1,14,1,16,1,17,1,14,1,17,1,16,2,17,1,14,3,17,1,16,4,17,1,16,27,17,1,14,3,16,3,14,3,16,5,14,3,17,1,16,5,14,4,16,13,17,1,14,1,15,1,14,1,17,1,16,10,17,1,14,3,16,5,3,1,14,1,15,1,8,2,14,2,3,2,14,2,15,3,14,1,3,1,14,2,8,2,15,1,14,2,16,4,14,2,15,1,14,2,15,2,14,1,16,3,14,4,16,3,17,1,14,1,15,1,14,1,17,1,16,3,14,1,8,2,15,1,14,5,15,1,8,1,10,2,8,2,15,1,8,1,10,3,15,1,14,1,3,2,14,1,8,1,10,3,9,1,8,2,15,1,14,3,15,1,8,1,10,3,9,1,8,1,15,1,14,1,15,2,8,1,15,1,14,1,16,77,14,3,15,3,8,1,15,3,14,9,17,1,16,7,14,1,8,6,10,15,8,1,10,7,8,3,10,5,18,1,14,1,3,1,14,1,18,2,8,1,10,9,8,3,18,1,15,2,18,1,8,1,10,3,8,1,18,1,8,2,14,3,15,1,10,3,8,1,18,1,15,2,14,5,15,2,14,2,15,1,8,1,10,13,9,1,8,2,10,4,8,1,15,1,14,6,15,2,14,33,15,1,14,143,15,1,14,3,15,3,8,3,15,2,14,17,15,5,14,5,15,5,14,3,18,1,8,1,18,2,8,5,18,2,15,1,14,1,15,1,18,1,15,4,18,11,8,5,18,4,8,57,10,3,8,46,10,1,8,7,10,3,8,1,10,3,8,26,10,1,8,7,10,3,8,24,10,10,8,6,10,12,8,1,10,1,8,1,10,5,8,1,10,28,8,1,10,67,8,3,10,5,8,3,10,12,8,2,10,18,8,4,10,1,8,4,10,12,8,8,10,3,8,3,10,18,8,7,10,5,8,2,10,14,8,2,10,154,8,2,10,6,8,4,10,5,8,3,10,2,8,2,10,10,8,4,10,2,8,2,10,45,4,13,10,4,8,4,10,18,4,1,19,7,4,760,},
{4,662,19,6,4,2,18,2,8,1,18,1,15,1,14,4,3,2,14,1,15,1,8,1,10,2,8,2,15,1,14,1,17,1,16,2,17,1,14,6,15,2,14,1,17,1,16,2,17,1,14,13,3,2,14,8,17,1,16,1,17,2,14,2,17,4,14,4,15,8,18,1,8,1,10,4,8,1,18,1,8,2,18,4,8,2,18,5,15,1,14,1,3,1,16,1,3,1,15,1,8,1,15,1,14,1,16,5,3,1,16,4,3,1,14,1,15,1,8,1,15,1,8,3,14,4,16,6,14,2,17,1,14,3,16,2,14,3,16,6,17,1,16,27,17,1,14,4,16,19,14,1,15,2,14,1,16,2,14,3,16,7,14,3,15,1,14,1,17,1,16,3,14,1,17,1,16,5,14,2,15,1,14,3,3,1,16,3,14,1,15,1,8,2,15,1,14,1,3,2,14,5,3,2,14,2,15,1,8,1,15,1,14,2,16,4,14,8,17,1,16,2,17,1,14,2,17,1,16,4,14,3,16,3,14,1,15,1,8,2,14,1,3,1,14,1,3,3,14,1,8,1,10,2,8,1,18,1,15,1,8,1,10,2,8,1,14,1,3,3,14,1,8,1,10,3,8,2,15,1,14,5,15,1,8,1,10,1,9,1,8,1,15,2,14,1,15,4,14,1,16,77,14,2,15,1,8,4,15,7,8,3,15,1,14,2,17,1,16,5,17,1,14,2,8,5,10,16,8,1,10,6,8,5,10,4,8,1,18,1,8,2,10,14,8,1,15,1,14,1,15,1,8,1,10,3,8,1,18,1,8,1,18,1,15,1,14,2,15,1,10,2,8,1,18,1,15,1,14,6,15,1,18,1,15,1,14,3,18,1,10,13,8,2,9,1,10,4,8,1,15,6,14,35,15,2,14,44,3,2,14,97,15,11,14,18,15,15,14,3,15,3,18,2,8,4,18,2,15,2,14,3,15,1,18,3,8,2,18,3,15,6,18,6,8,59,10,3,8,54,10,7,8,21,10,10,8,32,10,7,8,13,10,14,8,1,10,36,8,2,10,56,8,5,10,20,8,4,10,4,8,3,10,4,8,3,10,3,8,8,10,13,8,6,10,3,8,5,10,16,8,1,10,2,8,5,10,176,8,3,10,6,8,4,10,10,8,2,10,10,8,4,10,49,4,3,19,6,4,5,10,4,8,3,10,18,4,1,19,7,4,760,},
{4,662,19,5,4,3,18,1,8,2,18,1,14,2,15,2,14,2,16,1,3,1,14,1,8,2,9,1,8,3,14,2,16,2,17,1,14,6,15,2,14,1,16,3,17,1,14,13,3,2,14,2,17,2,14,4,17,1,16,1,17,2,14,11,15,5,14,1,15,1,18,1,8,1,10,4,8,1,18,1,8,1,18,2,14,1,18,1,8,3,18,1,14,2,15,1,18,2,14,1,3,1,16,2,14,1,15,2,14,1,3,1,16,2,17,1,14,2,16,4,3,1,14,1,15,1,8,2,15,2,14,1,17,1,16,1,14,2,16,6,17,1,14,1,17,1,14,7,16,23,17,1,16,11,14,6,16,18,14,1,15,2,14,1,16,1,14,2,15,1,14,1,16,5,17,1,14,4,15,1,14,1,17,1,16,3,14,2,16,5,14,1,15,2,14,3,3,2,16,2,3,1,14,1,15,1,8,1,15,1,14,1,3,3,14,4,3,3,14,1,15,1,8,1,15,1,14,2,16,4,14,8,17,1,16,10,14,3,16,2,14,1,15,1,8,2,15,1,14,1,16,1,3,4,14,1,8,1,10,2,8,1,18,2,8,1,10,2,8,1,14,1,3,1,16,1,3,1,14,1,15,1,8,1,10,2,8,1,15,1,14,6,15,2,8,2,15,1,14,3,15,4,14,1,16,77,17,1,14,1,15,1,8,5,15,1,8,6,10,2,8,1,15,1,14,2,16,6,14,2,15,1,8,3,10,25,8,2,18,1,8,2,10,4,8,2,10,15,8,2,15,1,18,1,8,1,10,3,8,1,18,3,15,2,14,1,18,1,10,2,8,1,15,2,14,6,15,3,14,3,18,1,10,3,9,1,10,9,9,2,10,5,8,1,18,1,15,2,18,2,15,1,14,35,15,2,14,44,3,2,14,51,15,3,14,43,15,10,14,9,15,2,14,7,15,15,14,5,15,3,18,3,8,3,18,1,15,2,14,3,15,1,18,2,8,4,18,1,15,2,14,5,15,2,18,4,8,59,10,4,8,56,10,2,8,2,10,1,8,20,10,10,8,23,10,4,8,5,10,12,8,9,10,12,8,3,10,30,8,2,10,4,8,1,10,55,8,6,10,20,8,4,10,4,8,3,10,4,8,3,10,6,8,5,10,14,8,5,10,4,8,6,10,13,8,2,10,2,8,4,10,47,8,1,10,129,8,3,10,6,8,4,10,10,8,3,10,10,8,3,10,33,8,5,10,3,8,4,10,4,4,3,19,6,4,5,18,1,10,3,8,4,10,11,8,1,10,4,4,2,19,7,4,760,},
{4,662,19,5,4,3,18,3,15,1,14,2,8,2,15,1,14,4,15,1,8,4,15,1,14,2,17,2,14,7,15,2,14,1,16,4,17,1,14,5,15,5,14,13,17,1,14,13,15,7,8,1,10,5,8,1,18,1,8,1,18,1,14,2,18,1,8,1,10,1,8,1,15,1,3,2,14,1,15,3,14,1,16,2,14,10,16,4,14,2,8,2,15,1,14,2,3,1,16,2,14,2,16,8,17,1,14,1,15,2,14,2,17,1,16,23,17,2,16,10,17,1,14,4,17,1,16,19,14,6,15,2,14,1,16,6,14,4,15,1,14,1,17,1,16,2,17,1,14,1,17,1,16,5,14,2,15,1,14,3,3,5,14,2,15,2,14,2,3,2,14,2,15,1,14,1,3,3,14,1,15,1,8,1,15,1,14,2,16,3,14,9,16,12,17,3,14,2,8,2,15,1,14,1,3,5,14,2,8,1,10,2,8,4,10,2,8,1,14,1,3,1,16,2,14,1,15,1,8,1,10,2,9,1,8,1,14,7,15,3,14,4,15,1,8,3,15,1,14,1,16,67,17,3,16,6,14,2,15,1,8,10,10,4,8,2,14,2,16,6,17,1,14,1,15,1,8,1,10,9,8,1,10,17,8,5,10,3,8,7,10,7,8,6,18,1,8,2,10,3,8,1,15,1,18,1,8,1,15,2,8,2,10,2,8,1,15,1,14,13,8,1,10,3,9,1,10,16,8,1,18,2,15,4,14,81,3,2,14,103,15,1,14,11,15,5,14,5,15,7,14,2,15,5,14,6,15,3,18,7,15,2,14,3,15,2,18,2,8,2,18,2,15,2,14,5,15,1,18,6,8,57,10,13,8,52,10,1,8,20,10,11,8,21,10,4,8,6,10,15,8,2,10,16,8,3,10,92,8,6,10,21,8,2,10,13,8,1,10,8,8,4,10,24,8,3,10,18,8,5,10,47,8,1,10,112,8,2,10,15,8,3,10,5,8,4,10,11,8,3,10,46,8,14,10,2,4,4,19,8,4,4,10,2,8,4,10,16,4,2,19,5,4,762,},
{4,662,19,4,4,4,18,3,15,1,14,2,8,3,14,6,15,1,8,2,15,2,14,10,15,1,14,1,17,1,16,4,17,1,14,4,15,1,8,4,15,1,14,27,15,6,8,2,10,5,8,3,18,1,14,2,18,1,8,1,10,2,18,1,14,1,3,2,14,2,15,1,14,1,3,1,16,1,14,7,15,2,14,1,16,4,14,1,15,3,14,1,3,1,16,3,17,1,14,1,17,1,16,4,17,2,16,1,17,1,14,2,8,2,15,1,14,1,16,13,17,1,14,1,17,1,16,8,17,2,16,10,14,5,16,4,17,1,16,15,17,1,14,4,15,2,14,1,16,6,17,1,14,6,17,3,14,2,16,6,14,6,3,5,14,6,3,2,14,1,15,2,14,1,3,1,16,1,3,1,14,1,15,1,8,1,15,1,14,13,17,1,16,14,17,1,14,1,15,1,8,2,14,1,3,3,14,4,15,1,8,1,10,3,8,2,10,3,9,1,14,1,3,1,16,2,3,1,14,1,8,1,10,2,9,1,8,1,15,1,14,1,3,2,14,7,3,2,14,1,15,1,9,1,10,1,8,1,15,1,17,1,16,66,17,1,14,3,16,6,14,2,15,1,8,1,9,3,8,3,10,6,8,3,14,2,16,7,17,1,15,1,8,1,10,5,8,4,18,1,8,1,10,16,8,5,10,3,8,8,10,5,8,3,18,1,8,6,10,3,8,1,15,1,18,1,8,1,15,1,18,1,10,3,9,1,18,1,14,11,3,1,14,1,15,1,8,1,10,3,8,1,10,5,9,3,10,9,8,2,18,1,14,84,3,1,14,118,15,5,14,2,15,6,14,15,15,1,14,1,15,2,18,6,15,6,18,5,8,1,18,2,15,2,14,3,15,1,18,2,8,1,18,6,8,55,10,14,8,49,10,3,8,18,10,13,8,19,10,6,8,6,10,15,8,2,10,16,8,3,10,42,8,3,10,48,8,6,10,45,8,4,10,25,8,1,10,17,8,6,10,3,8,2,10,16,8,1,10,32,8,1,10,105,8,2,10,14,8,4,10,5,8,4,10,5,8,2,10,3,8,3,10,47,8,15,10,1,4,4,19,10,4,3,8,5,10,15,4,3,19,5,4,762,},
{4,662,19,5,4,3,18,1,8,2,18,1,14,2,15,1,8,2,15,1,14,6,15,5,14,9,15,1,14,1,16,3,17,3,14,3,7,1,15,1,8,2,15,3,14,30,15,3,8,2,10,6,8,2,18,1,14,2,18,1,8,1,10,3,8,1,14,1,3,2,14,1,15,1,14,1,3,2,14,6,15,1,8,2,14,1,16,3,14,2,15,2,14,2,16,4,3,1,16,3,17,1,14,7,15,1,8,2,15,1,14,1,16,12,14,1,15,1,14,2,16,8,17,1,16,11,14,4,17,1,16,3,14,2,17,1,16,4,17,1,14,1,16,9,17,1,14,3,15,2,14,1,16,6,14,7,17,2,14,3,16,6,14,5,3,7,14,3,15,1,14,3,15,3,14,1,3,1,16,2,14,1,15,1,8,1,15,2,14,7,15,1,14,3,17,1,16,16,14,2,15,2,14,1,16,1,3,1,14,5,8,1,10,10,15,1,3,1,16,2,3,1,14,1,8,1,10,2,8,1,15,2,14,2,3,1,14,7,3,2,14,1,8,1,10,2,8,1,14,1,16,66,17,1,14,5,16,5,3,1,14,2,8,2,10,2,8,3,10,5,8,3,15,1,14,2,17,1,16,6,17,1,15,1,8,1,10,4,8,2,15,3,14,1,18,1,8,1,10,15,8,4,10,3,8,3,10,2,8,2,18,1,8,16,10,3,8,1,15,1,18,2,15,1,18,1,10,3,8,1,15,1,14,11,3,1,14,1,15,1,10,3,8,2,10,5,8,2,9,1,10,10,8,1,18,1,15,1,14,3,15,1,14,79,3,1,14,98,15,2,14,18,15,5,14,5,15,4,14,17,15,2,18,6,15,4,18,3,8,5,18,3,15,4,18,1,8,5,18,2,8,57,10,13,8,48,10,5,8,16,10,14,8,15,10,10,8,6,10,15,8,1,10,17,8,3,10,42,8,5,10,47,8,5,10,46,8,3,10,43,8,6,10,3,8,2,10,15,8,4,10,136,8,2,10,14,8,4,10,3,8,5,10,6,8,3,10,1,8,4,10,48,8,15,4,4,19,11,4,2,8,6,10,14,4,2,19,6,4,762,},
{4,662,19,5,4,3,10,3,8,1,14,3,15,1,8,1,15,1,14,7,15,1,8,2,15,1,14,4,15,3,14,4,16,2,17,3,14,4,15,6,14,6,3,1,14,25,15,2,8,2,10,7,8,2,18,1,14,1,18,1,8,2,10,2,8,1,14,1,3,3,14,2,3,1,16,1,3,1,14,3,3,1,14,1,8,1,9,1,8,1,14,1,16,3,14,2,15,1,14,2,16,10,14,6,15,2,8,1,15,1,14,1,16,12,14,1,15,1,8,1,15,1,14,1,17,1,16,19,17,1,14,3,16,4,17,1,14,1,17,1,16,2,17,1,16,1,17,1,14,1,16,10,17,1,14,5,16,6,14,6,17,2,14,4,16,6,14,2,15,1,14,3,3,1,16,2,3,2,14,8,15,1,8,1,15,1,14,1,16,3,14,1,15,1,8,1,15,3,14,5,15,2,14,2,17,1,16,17,14,2,15,1,14,1,3,1,16,1,3,1,14,4,15,1,8,1,10,9,8,1,15,1,14,1,3,1,16,1,14,1,15,1,8,1,9,1,8,1,15,3,14,13,8,1,10,2,8,1,14,1,16,64,17,1,14,7,17,1,16,4,3,1,14,2,15,1,8,2,10,2,8,2,10,4,8,1,18,1,15,1,14,5,17,1,16,6,14,1,8,1,10,2,8,2,15,1,14,6,18,2,8,1,10,7,8,2,10,10,8,3,10,3,8,2,18,7,8,7,18,2,8,1,10,3,8,2,18,2,15,1,8,1,10,3,8,1,15,2,14,10,3,1,14,1,18,1,10,3,8,2,9,1,10,3,9,1,8,3,10,10,8,1,18,1,15,1,14,3,15,2,14,78,3,1,14,97,15,3,14,28,15,6,14,15,15,7,18,1,15,4,18,1,8,8,18,7,8,6,18,2,8,1,18,1,8,62,10,3,8,50,10,5,8,16,10,15,8,10,10,14,8,6,10,15,8,1,10,17,8,3,10,42,8,7,10,46,8,5,10,45,8,4,10,38,8,2,10,2,8,6,10,3,8,2,10,15,8,4,10,136,8,2,10,14,8,3,10,3,8,6,10,6,8,2,10,2,8,3,10,6,8,2,10,43,8,12,18,1,4,1,19,14,4,2,8,6,10,14,4,2,19,6,4,762,},
{4,662,19,6,4,2,10,3,8,1,15,1,14,2,15,4,14,6,15,1,8,2,15,1,14,4,15,3,14,3,17,1,16,2,17,1,14,6,15,2,14,5,15,1,14,3,3,2,14,4,17,6,14,15,15,2,8,3,10,7,8,1,18,3,8,4,15,1,14,1,3,5,16,7,14,1,8,2,15,1,3,1,16,3,14,4,3,1,16,4,17,1,16,6,14,4,15,4,14,1,16,13,14,1,15,1,8,1,15,1,14,1,16,21,17,1,14,2,16,24,17,1,14,3,16,6,17,1,14,4,17,2,16,1,17,1,14,3,17,1,16,5,17,1,14,1,15,3,14,2,3,1,16,3,14,8,15,3,14,1,3,1,16,3,14,1,15,6,14,4,15,2,14,2,16,15,17,1,16,1,17,1,14,5,3,2,14,5,18,1,10,9,8,1,14,3,3,1,14,1,8,1,9,1,8,2,15,1,14,14,15,1,8,1,10,2,8,1,14,1,16,64,6,1,14,2,17,1,16,1,17,1,14,3,16,3,3,1,14,4,15,1,8,5,10,4,8,1,15,1,14,7,16,6,14,1,15,1,8,2,15,1,14,9,18,1,8,2,10,5,8,3,10,10,8,3,10,4,8,1,18,7,8,1,10,4,8,1,18,1,15,2,8,1,10,4,8,2,18,1,15,1,8,1,10,3,8,2,15,2,14,11,15,1,9,1,10,1,9,1,8,1,18,1,8,1,10,3,9,1,8,2,9,1,10,2,9,2,10,7,8,1,18,1,14,82,3,3,14,56,15,1,14,37,15,6,14,3,15,1,14,23,15,8,14,10,15,1,14,3,15,10,18,2,8,10,18,5,8,6,18,2,8,107,10,2,8,8,10,4,8,17,10,18,8,6,10,15,8,8,10,13,8,1,10,17,8,3,10,42,8,7,10,46,8,6,10,22,8,1,10,20,8,5,10,38,8,2,10,2,8,6,10,21,8,3,10,46,8,1,10,105,8,2,10,3,8,7,10,6,8,2,10,2,8,2,10,6,8,3,10,53,8,2,18,2,4,1,19,13,4,2,9,1,8,5,10,14,4,2,19,6,4,762,},
{4,662,19,6,4,2,10,4,18,1,14,1,15,2,8,2,15,1,14,6,15,1,8,2,15,1,14,4,15,1,8,2,15,1,14,2,16,2,17,1,14,17,3,1,16,1,3,1,14,4,16,6,17,1,14,4,17,3,14,8,15,1,8,4,10,7,8,5,18,1,15,1,14,1,3,2,16,6,3,2,16,1,3,1,14,2,8,2,15,1,3,1,16,3,3,1,14,3,3,1,16,1,3,1,14,3,16,6,14,2,15,4,14,2,16,14,14,1,15,2,14,1,17,1,16,21,17,1,14,1,16,25,17,1,14,2,17,1,16,6,14,3,17,1,16,5,17,1,14,1,17,1,16,7,14,1,15,1,8,2,15,1,14,2,16,2,3,1,14,8,15,3,14,1,3,1,16,3,14,1,15,6,14,4,15,2,14,1,17,1,16,14,14,6,15,2,14,8,15,1,8,1,10,7,8,1,15,1,14,4,15,1,8,1,9,1,8,1,15,1,14,3,15,1,14,12,8,1,9,2,15,1,14,1,16,64,17,1,14,2,17,1,16,2,14,12,15,1,8,5,10,2,8,1,18,1,14,8,17,1,16,5,17,1,14,4,16,2,14,7,18,1,8,2,10,3,8,1,18,3,8,1,10,10,8,3,10,4,8,2,18,1,8,5,10,5,8,1,15,1,14,1,15,1,8,3,9,1,10,2,8,4,10,3,8,3,15,1,14,11,15,1,8,3,18,2,8,1,9,1,10,2,9,1,8,2,10,3,9,2,10,6,8,2,18,1,14,81,3,12,14,13,15,2,14,24,15,14,14,31,15,15,14,19,15,11,14,8,15,2,14,6,15,6,18,7,8,6,18,9,8,120,10,4,8,17,10,1,8,7,10,11,8,5,10,14,8,6,10,1,8,3,10,30,8,2,10,43,8,7,10,1,8,1,10,1,8,3,10,40,8,6,10,21,8,3,10,19,8,5,10,31,8,1,10,6,8,10,10,21,8,4,10,45,8,2,10,109,8,2,18,1,8,4,10,5,8,1,10,4,8,2,10,6,8,5,10,52,8,1,9,1,18,1,4,1,19,13,4,2,10,1,8,5,10,4,8,1,10,9,4,2,19,6,4,762,},
{4,662,19,5,4,3,10,4,18,3,8,3,15,1,14,2,3,1,16,1,14,2,8,3,15,1,14,4,15,1,8,2,15,1,14,2,16,3,17,4,14,13,3,1,16,1,3,1,14,4,16,7,14,4,17,3,14,8,15,1,8,6,10,6,8,4,18,1,14,2,3,2,16,3,3,1,14,4,3,1,14,2,15,1,8,2,14,2,3,1,16,4,3,1,14,7,17,1,16,5,14,2,15,2,14,3,16,14,17,1,14,4,16,21,17,1,14,2,16,24,14,2,17,2,16,6,14,2,17,1,16,7,17,1,14,1,16,8,14,1,15,1,8,2,15,1,14,2,3,1,16,1,3,1,14,5,3,1,14,2,15,4,14,4,15,1,8,2,15,1,14,1,15,1,14,8,16,10,17,1,16,3,17,1,14,6,15,4,14,6,15,1,8,1,10,7,8,1,14,5,15,1,8,2,15,1,14,4,15,2,14,3,3,1,14,7,15,1,8,2,15,1,14,1,16,65,14,2,16,2,17,1,14,10,3,2,14,1,18,1,8,7,18,1,15,1,14,8,17,1,16,6,17,2,16,3,14,6,15,2,8,5,15,1,14,2,18,1,8,2,10,9,8,3,10,4,8,3,10,9,8,2,15,1,14,1,15,1,8,2,15,1,8,1,10,10,8,2,15,1,14,12,15,1,8,5,9,1,10,3,9,2,10,3,9,2,10,6,8,1,18,2,14,8,15,5,14,66,3,15,14,12,15,2,14,25,15,7,8,4,15,2,14,31,7,1,15,6,7,1,15,7,7,1,14,16,15,13,14,7,15,6,14,9,15,2,18,13,15,3,18,5,8,59,10,1,8,10,10,3,8,47,10,3,8,26,10,8,8,7,10,13,8,6,10,3,8,2,10,31,8,1,10,41,8,11,10,2,8,2,10,41,8,5,10,21,8,4,10,18,8,4,10,31,8,3,10,4,8,6,10,1,8,4,10,14,8,1,10,6,8,5,10,44,8,1,10,110,8,1,18,2,8,3,10,10,8,2,10,6,8,6,10,53,8,1,18,1,4,1,19,13,4,2,10,1,8,5,10,4,8,2,10,8,4,2,19,5,4,763,},
{4,662,19,5,4,3,10,4,8,4,10,1,8,1,18,1,14,1,3,4,14,1,15,1,8,2,15,2,14,3,15,1,8,2,15,1,14,2,17,1,16,2,17,2,16,3,17,1,14,12,3,2,14,4,17,1,16,1,14,1,17,1,16,3,17,1,14,3,17,3,14,4,17,1,14,3,15,1,8,6,10,8,8,2,18,1,14,3,3,1,16,2,3,1,14,1,8,1,9,1,8,1,14,1,3,2,14,1,15,1,8,1,15,1,14,3,3,1,16,4,3,1,14,4,15,1,8,1,14,1,16,5,14,2,15,1,14,2,17,1,16,15,17,1,14,1,17,2,16,22,14,2,17,1,16,23,14,13,17,1,16,6,17,3,16,8,14,1,15,1,8,1,15,1,14,8,3,4,14,2,15,1,18,1,8,2,15,2,14,1,15,1,8,1,15,2,14,6,17,2,14,2,17,1,16,9,17,1,14,3,17,1,14,6,15,2,8,3,18,1,15,3,14,2,15,1,8,1,10,6,8,1,15,1,14,4,15,2,8,2,15,1,14,1,3,1,14,2,15,2,14,4,3,1,14,8,15,1,14,2,16,66,14,1,16,1,14,3,15,4,14,2,15,3,14,1,3,2,18,1,8,7,18,5,15,2,14,4,17,1,16,6,17,2,16,2,14,3,17,1,14,3,15,4,14,2,3,1,14,2,18,1,8,1,10,10,8,2,10,5,8,2,10,10,8,2,18,5,14,1,15,1,9,1,10,9,9,1,8,1,14,14,15,1,8,5,9,1,10,15,8,1,18,2,15,1,18,1,14,5,15,7,14,63,3,17,14,12,15,2,14,25,15,5,8,6,15,2,14,31,15,2,8,1,15,2,14,3,7,1,15,5,7,2,14,15,15,15,14,6,15,6,14,9,15,8,18,6,15,6,18,3,8,59,10,2,8,8,10,5,8,78,10,2,8,11,10,10,8,5,10,6,8,2,10,69,8,14,10,3,8,2,10,1,8,1,10,39,8,4,10,21,8,6,10,18,8,2,10,32,8,3,10,4,8,6,10,3,8,2,10,21,8,6,10,153,8,2,18,2,8,3,10,9,8,2,10,7,8,4,10,57,4,3,19,4,4,1,19,6,4,1,18,1,10,3,8,2,10,4,8,3,10,7,4,2,19,6,4,763,},
{4,662,19,4,4,4,10,4,8,3,10,2,8,2,15,1,14,1,3,3,14,2,15,1,8,2,15,1,14,3,15,2,8,1,15,2,14,2,16,8,17,1,14,7,3,1,14,14,16,3,14,3,17,3,14,8,15,1,8,7,10,8,8,1,18,2,14,1,15,1,14,1,3,2,14,1,8,1,10,2,8,1,14,1,16,2,14,1,15,1,8,2,14,3,3,1,16,4,3,1,14,4,15,1,8,1,15,1,16,5,14,1,15,2,14,1,17,1,16,11,17,2,16,29,14,2,16,6,14,2,16,13,17,1,16,1,14,14,17,1,16,5,17,1,14,2,17,1,16,8,14,10,3,1,16,3,3,2,14,1,15,1,8,6,15,4,14,2,16,1,14,3,16,16,14,10,15,1,8,7,15,1,14,2,15,1,8,1,10,6,8,1,14,5,15,2,8,1,15,1,14,2,3,1,14,2,15,2,14,16,16,54,17,2,16,10,17,2,14,2,15,1,8,3,15,4,18,2,14,1,3,2,18,1,8,7,18,3,8,3,15,2,14,4,16,6,14,5,17,1,16,3,17,1,14,5,3,3,14,1,15,1,8,1,10,17,8,2,10,11,8,5,18,1,14,3,8,1,10,4,8,2,10,3,8,1,15,1,14,7,3,2,14,5,15,1,8,5,9,1,10,14,9,1,18,2,15,1,18,3,14,2,15,9,14,63,3,5,14,2,3,10,14,40,15,5,8,4,15,2,14,32,15,2,8,1,15,1,14,5,7,1,15,4,7,2,14,17,15,3,14,3,15,7,14,6,15,1,18,1,15,5,14,5,15,1,14,2,15,4,14,1,15,3,18,3,8,2,18,2,15,2,14,2,15,2,18,2,8,58,10,4,8,7,10,5,8,92,10,5,8,8,10,7,8,2,10,69,8,6,10,3,8,4,10,7,8,1,10,39,8,1,10,1,8,1,10,22,8,6,10,59,8,5,10,4,8,2,10,22,8,6,10,123,8,2,10,27,8,8,10,4,8,1,10,2,8,3,10,64,8,1,10,4,4,14,18,1,10,3,8,2,10,4,8,3,10,7,4,2,19,5,4,764,},
{4,662,19,4,4,4,10,5,8,1,10,3,8,2,18,1,15,1,14,1,3,3,14,1,15,1,8,2,15,1,14,4,15,2,8,2,15,1,14,1,17,1,16,8,17,1,14,5,3,1,16,1,3,1,15,1,8,1,15,1,14,10,16,3,17,1,14,1,17,4,14,9,15,1,8,6,10,9,8,5,14,2,8,1,10,3,15,1,3,1,16,2,14,1,15,1,9,1,8,1,14,1,3,1,14,1,16,5,3,1,14,4,15,1,8,1,15,1,16,5,14,4,16,11,14,4,16,8,17,2,16,17,17,1,14,2,16,6,14,1,15,1,14,1,16,12,14,9,15,2,14,5,17,1,16,4,17,1,14,3,17,1,16,8,17,1,14,2,16,4,14,3,3,1,16,3,3,1,14,2,15,2,8,5,15,1,14,3,16,22,14,10,15,1,8,5,18,1,8,1,15,2,14,1,15,1,8,2,10,4,8,1,15,1,14,5,15,3,14,2,3,2,14,2,15,1,14,16,16,2,17,1,16,50,14,4,17,1,16,9,17,1,14,2,15,1,8,5,18,1,15,1,18,1,8,2,18,1,3,1,14,1,18,1,8,3,10,1,8,3,18,2,8,5,15,1,14,4,16,5,17,1,14,1,15,2,14,2,16,5,14,4,3,4,14,1,8,1,10,32,9,1,10,3,18,1,14,3,15,1,9,1,10,2,8,1,15,1,8,2,10,2,8,1,15,1,14,7,3,2,14,6,8,6,9,1,10,4,9,2,10,7,8,1,18,1,14,2,18,2,8,1,18,2,8,2,15,2,14,69,3,3,14,56,15,8,14,32,7,1,15,3,14,6,7,2,15,2,7,1,14,26,15,5,14,2,15,5,18,1,15,4,14,9,15,2,18,1,15,1,14,2,15,2,18,2,8,4,18,1,15,2,14,3,15,1,18,3,8,69,10,4,8,18,10,2,8,2,10,2,8,69,10,2,8,9,10,8,8,3,10,66,8,8,10,3,8,3,10,8,8,1,10,64,8,6,10,59,8,5,10,29,8,6,10,122,8,2,10,27,8,10,10,5,8,2,10,20,8,1,10,44,8,2,10,4,4,13,18,1,8,1,10,3,8,2,10,3,8,3,10,3,8,1,10,2,4,3,19,5,4,764,},
{4,662,19,4,4,4,10,8,8,4,18,1,14,2,3,1,16,1,3,1,14,1,15,3,14,5,15,1,8,3,14,1,17,1,16,9,17,1,14,4,3,1,16,1,3,1,18,1,8,2,14,2,3,2,14,7,16,2,17,5,14,10,15,2,8,5,10,2,8,1,10,7,8,1,10,8,8,1,14,1,16,3,14,1,8,1,10,1,8,1,14,1,3,2,16,5,3,2,14,4,15,1,14,1,16,6,14,3,16,10,14,5,17,1,16,5,17,5,16,16,17,1,14,1,17,1,16,5,14,1,15,2,14,1,16,7,17,1,16,4,14,8,15,3,14,5,17,2,16,2,17,1,14,4,17,1,16,7,17,1,14,2,17,1,16,4,3,1,14,1,3,1,16,3,3,1,14,2,15,5,8,1,15,1,14,2,3,1,16,24,14,2,15,2,14,6,15,2,8,3,15,4,14,3,15,1,18,1,8,2,9,2,15,1,14,6,15,3,14,2,3,1,14,13,15,4,14,2,16,3,17,1,16,50,14,2,15,1,14,2,16,9,14,2,15,2,8,2,9,1,8,3,18,2,8,2,18,1,14,1,3,1,18,2,8,2,10,2,8,2,18,2,8,5,15,2,14,3,16,5,14,1,15,1,8,2,14,1,16,6,17,1,14,3,3,3,14,1,15,1,10,37,8,1,15,1,14,2,15,1,9,1,10,2,15,1,14,2,8,2,10,1,8,1,15,1,14,15,18,1,8,1,9,1,8,4,9,4,8,2,9,2,8,1,9,1,10,4,18,1,14,2,18,1,8,6,15,2,14,69,3,3,14,57,15,6,14,34,15,2,7,1,14,7,7,3,14,35,15,11,14,4,15,4,18,2,15,5,18,1,8,5,18,2,15,1,14,3,15,2,18,2,8,70,10,3,8,18,10,1,8,73,10,3,8,9,10,8,8,4,10,28,8,1,10,35,8,7,10,5,8,3,10,28,8,5,10,28,8,3,10,10,8,5,10,59,8,6,10,28,8,8,10,120,8,2,10,26,8,10,10,5,8,3,10,20,8,1,10,44,8,2,10,3,18,1,4,14,10,4,8,3,10,2,8,3,10,3,8,1,10,2,4,2,19,6,4,764,},
{4,662,19,5,4,3,10,8,8,5,15,1,14,1,3,1,16,1,3,1,14,1,15,1,14,3,17,1,14,3,15,2,8,2,15,1,14,1,16,10,17,1,14,4,3,1,14,1,8,3,15,1,14,1,3,2,14,7,17,1,16,3,17,3,14,11,15,5,8,1,10,2,8,2,10,15,14,1,3,1,16,3,14,1,15,1,9,1,8,1,14,2,3,1,16,4,3,1,14,8,16,6,14,3,16,8,17,1,14,5,17,1,16,6,17,1,14,2,17,1,16,17,14,2,16,5,17,1,14,1,15,2,14,1,16,6,14,3,16,3,17,1,14,7,15,3,14,2,17,1,16,1,17,1,16,4,17,1,14,4,17,1,16,6,17,1,14,4,16,9,3,1,14,1,15,1,8,1,15,2,14,3,15,1,14,2,16,26,14,9,15,6,14,2,15,7,18,2,8,2,15,1,14,1,3,1,14,3,15,1,8,2,15,1,14,1,3,2,14,13,15,1,8,1,9,1,8,1,14,2,16,3,17,1,16,50,14,5,16,9,14,2,15,1,8,3,9,4,8,4,18,1,14,1,3,2,18,3,10,2,8,9,15,2,14,3,16,5,14,1,8,3,14,1,16,5,17,1,14,4,3,1,14,3,8,1,10,34,9,1,10,3,8,1,14,1,15,1,8,1,10,2,8,1,15,1,14,3,8,3,15,1,14,3,3,1,14,11,18,1,8,1,9,1,8,7,18,3,8,2,18,1,8,1,10,4,8,1,14,3,18,1,8,5,15,1,14,21,3,3,14,45,3,4,14,57,15,4,14,48,7,1,14,36,15,18,18,2,15,1,14,3,15,1,18,1,8,5,18,2,15,6,18,4,8,59,10,3,8,65,10,2,8,14,10,2,8,16,10,6,8,7,10,7,8,7,10,3,8,3,10,21,8,2,10,31,8,9,10,6,8,3,10,9,8,4,10,15,8,7,10,26,8,4,10,10,8,4,10,59,8,6,10,23,8,13,10,120,8,2,10,20,8,1,10,4,8,5,10,2,8,4,10,5,8,2,10,21,8,1,10,49,18,1,4,14,10,3,8,9,10,6,18,1,4,1,19,5,4,765,},
{4,662,19,6,4,5,18,1,10,4,8,1,18,3,8,1,18,1,14,1,3,3,14,4,16,3,14,3,15,3,14,2,16,11,17,1,14,5,8,3,15,1,14,1,3,2,14,8,17,1,16,3,17,3,14,13,15,2,8,1,10,2,8,2,10,9,8,1,15,1,14,1,8,2,15,1,14,1,3,5,14,1,15,1,8,1,15,1,14,2,3,1,16,3,3,1,14,7,3,1,16,6,14,4,16,6,17,1,14,1,17,1,16,12,17,3,16,8,17,3,16,5,17,1,14,1,17,1,16,5,14,1,15,1,14,2,16,5,17,1,14,4,16,5,14,3,17,1,14,2,15,2,14,2,16,9,14,4,17,1,16,6,17,1,14,2,15,1,14,1,17,1,16,7,3,1,14,1,15,1,8,1,9,1,8,1,14,6,3,1,16,26,17,1,16,2,17,3,14,2,15,3,14,6,15,1,8,1,18,3,15,4,8,2,15,1,14,1,3,1,14,3,8,1,9,2,15,1,14,1,3,2,14,13,8,1,9,1,10,1,9,1,15,1,14,3,17,2,16,50,14,4,16,9,14,2,15,1,8,5,10,4,8,3,18,1,14,1,3,4,18,1,8,1,10,2,8,3,10,3,8,2,15,2,14,1,15,1,14,1,16,4,17,1,14,1,8,2,15,1,16,5,14,9,15,1,8,1,10,4,8,1,10,17,8,1,10,10,8,1,18,1,9,1,10,3,18,2,10,3,8,1,14,4,15,1,8,3,15,1,14,1,3,1,16,1,3,1,14,7,3,1,14,2,15,1,8,1,10,1,9,1,8,2,18,7,8,2,18,2,10,4,8,1,15,1,14,2,18,1,8,5,15,1,14,21,3,2,14,46,3,4,14,18,3,2,14,6,3,1,14,29,15,5,14,47,7,5,14,4,15,1,14,1,15,7,14,11,15,1,14,10,15,14,18,3,15,2,14,3,15,1,18,1,8,5,18,1,15,8,18,3,8,59,10,6,8,62,10,4,8,10,10,6,8,11,10,11,8,4,10,7,8,9,10,2,8,5,10,18,8,3,10,9,8,1,10,13,8,3,10,4,8,6,10,10,8,3,10,8,8,8,10,12,8,7,10,1,8,1,10,8,8,3,10,12,8,5,10,11,8,3,10,61,8,4,10,9,8,1,10,4,8,1,10,8,8,13,10,120,8,2,10,21,8,1,10,3,8,5,10,1,8,5,10,3,8,3,10,22,8,1,10,37,8,2,10,13,4,2,18,1,4,10,18,1,4,1,18,1,8,7,10,3,18,2,4,4,19,2,4,768,},
{4,663,19,1,4,1,19,3,4,6,10,4,8,1,18,4,15,1,14,1,3,3,14,3,16,4,14,2,15,4,14,2,17,4,16,7,17,1,14,2,15,2,8,4,15,1,14,1,3,3,14,8,16,3,17,2,14,14,15,2,8,1,10,2,8,3,10,8,8,1,14,1,3,1,14,7,3,1,16,1,3,1,15,1,8,1,15,1,14,2,16,4,3,1,14,1,15,3,14,1,3,1,16,2,14,1,16,6,14,3,16,5,17,1,14,3,16,12,17,1,16,5,17,5,14,3,16,5,14,2,17,1,16,4,14,1,15,2,14,2,16,5,14,3,15,1,14,1,17,1,16,5,14,8,17,1,16,9,17,3,16,6,17,2,14,3,15,1,14,2,16,6,3,1,14,2,15,1,8,2,15,1,14,1,3,3,14,2,16,33,14,2,15,2,14,2,3,3,14,1,15,2,8,1,18,1,8,3,18,1,15,5,14,3,15,2,8,1,10,1,9,1,15,1,14,1,3,2,14,12,15,2,8,1,9,2,8,1,15,1,14,4,16,47,17,1,14,1,17,1,16,13,14,2,15,1,8,4,9,1,10,3,9,1,8,1,18,2,15,1,14,1,3,4,18,1,8,1,10,3,8,2,10,3,9,1,8,1,15,4,14,2,16,3,14,2,8,2,15,1,17,1,16,4,14,1,8,1,15,1,14,4,15,3,8,2,10,2,8,2,10,12,8,2,10,3,8,2,10,9,9,1,8,1,9,1,10,3,8,2,10,3,8,1,14,2,3,1,14,2,15,1,8,2,15,1,14,1,3,1,16,2,14,2,15,1,14,6,15,1,18,1,8,5,18,7,8,2,18,1,8,1,10,4,8,1,14,4,15,1,18,2,15,1,14,87,3,2,14,1,3,5,14,36,15,5,14,4,15,2,14,49,15,12,14,21,15,17,14,4,15,2,18,1,8,4,18,1,15,3,18,1,15,3,18,5,8,58,10,7,8,60,10,7,8,8,10,6,8,11,10,20,8,18,10,19,8,2,10,22,8,4,10,4,8,5,10,11,8,3,10,9,8,9,10,10,8,7,10,9,8,4,10,10,8,7,10,12,8,1,10,19,8,1,10,43,8,3,10,7,8,3,10,4,8,1,10,8,8,5,10,1,8,6,10,24,8,1,10,96,8,1,10,26,8,4,10,3,8,2,18,1,8,1,10,2,8,4,10,60,8,3,10,15,18,1,10,3,18,1,4,8,9,1,8,4,10,5,4,5,19,3,4,768,},
{4,668,19,4,4,2,18,1,10,4,8,1,18,1,15,2,14,2,17,2,16,3,14,2,16,3,14,2,15,1,8,2,7,3,14,2,17,2,16,1,17,1,16,5,17,1,14,2,15,1,8,2,18,1,14,1,18,1,14,2,3,6,14,4,3,2,16,2,3,5,14,11,15,1,8,2,10,2,8,4,10,6,8,2,15,1,14,1,3,3,14,1,15,1,8,1,15,1,14,1,16,1,3,1,15,1,8,1,15,1,14,1,16,3,3,3,14,2,15,2,14,1,3,1,16,2,14,2,16,5,14,4,16,5,14,4,16,15,17,1,14,8,17,1,16,5,14,2,17,1,16,4,14,1,15,1,8,1,14,2,16,5,17,1,14,2,15,1,14,1,17,1,16,6,17,1,14,4,17,1,16,20,14,8,16,5,14,4,15,3,14,2,16,7,14,1,17,1,16,28,17,1,14,6,16,2,14,1,15,6,8,3,15,2,14,1,15,1,8,5,15,2,8,2,15,1,14,12,15,1,18,1,8,1,18,1,15,2,18,1,8,1,10,1,8,1,18,1,15,1,14,2,17,1,16,46,14,2,17,1,16,14,3,1,18,1,8,1,9,1,10,4,9,1,8,1,18,2,15,1,14,1,3,1,14,3,3,1,14,2,18,1,8,1,10,8,8,1,18,1,8,2,18,1,14,2,3,1,17,1,3,1,14,2,15,1,8,2,14,1,16,4,14,1,8,1,15,1,14,4,18,1,14,1,15,1,18,1,8,2,10,15,8,2,10,3,8,3,10,11,8,1,18,2,8,1,10,4,8,1,14,1,3,2,14,2,15,4,14,2,3,2,14,8,18,5,8,4,18,2,8,3,18,1,8,3,10,5,8,1,14,2,3,3,14,91,3,6,14,97,15,16,14,10,15,3,14,5,18,1,14,3,18,1,14,10,15,15,18,7,8,2,18,5,8,50,10,3,8,5,10,3,8,21,10,1,8,16,10,1,8,6,10,8,8,5,10,11,8,38,10,3,8,17,10,46,8,1,10,7,8,7,10,9,8,5,10,3,8,1,10,2,8,10,10,40,8,7,10,34,8,2,10,40,8,3,10,7,8,3,10,13,8,6,10,1,8,6,10,23,8,1,10,123,8,4,10,3,8,1,18,3,8,1,10,2,8,2,10,62,8,2,10,17,8,2,18,1,4,8,9,1,8,3,10,6,4,3,19,5,4,768,},
{4,668,19,5,4,1,18,1,10,3,8,2,15,3,14,4,17,1,16,2,14,7,15,1,8,3,7,3,14,5,17,2,16,2,17,2,14,2,15,1,8,2,14,6,3,18,14,3,15,1,14,7,15,1,8,2,9,1,10,2,8,3,10,8,8,1,15,1,14,3,15,1,8,2,15,1,14,1,3,1,14,1,8,2,15,1,3,1,16,3,3,2,14,3,8,2,14,1,3,1,16,2,14,3,16,4,17,1,14,3,16,5,14,5,16,14,14,9,17,1,16,5,14,3,16,3,17,1,14,1,15,2,14,1,16,7,17,1,14,1,15,1,14,2,16,1,17,1,16,4,17,1,14,4,16,9,17,2,16,9,14,9,16,4,3,1,14,4,15,1,14,3,3,1,16,6,17,1,14,2,16,28,14,4,17,1,16,3,3,1,14,1,15,1,8,1,15,4,8,3,15,1,14,2,15,1,8,2,10,2,9,1,8,1,15,1,8,2,15,1,14,10,15,1,14,1,18,1,8,2,18,1,14,2,18,1,8,1,10,2,8,1,18,1,14,2,17,2,16,45,14,2,17,1,16,14,3,1,18,1,10,6,8,2,18,1,8,1,15,1,14,1,3,1,14,6,15,1,8,2,10,7,8,5,18,1,14,7,15,1,8,1,15,1,14,1,16,3,14,1,15,2,14,3,15,1,18,1,14,2,18,1,8,2,10,15,8,3,10,1,8,5,10,5,8,1,10,4,8,1,15,1,18,1,10,2,9,1,8,1,10,1,8,1,14,2,3,1,14,2,15,4,14,3,17,1,14,4,15,3,8,4,18,3,8,3,18,1,8,1,10,2,8,4,10,6,18,1,14,1,3,6,14,1,3,1,14,87,3,4,14,84,15,6,14,8,15,5,14,1,15,14,14,6,15,6,14,1,18,8,15,1,14,8,15,3,18,1,8,2,15,3,14,2,15,3,8,1,18,7,8,3,18,9,8,45,10,3,8,4,10,5,8,18,10,3,8,15,10,16,8,5,10,11,8,7,10,5,8,47,10,54,8,9,10,6,8,21,10,40,8,6,10,34,8,4,10,10,8,2,10,27,8,3,10,7,8,3,10,22,8,2,10,25,8,1,10,124,8,3,10,3,8,1,18,3,8,1,10,2,8,2,10,81,8,2,18,1,4,8,9,1,8,2,10,7,4,3,19,5,4,768,},
{4,668,19,5,4,1,10,4,8,2,15,3,14,5,17,1,16,1,14,7,15,1,8,5,7,1,15,1,14,4,17,1,16,4,17,1,14,2,7,1,15,2,14,7,3,7,16,4,3,1,16,2,3,3,14,12,15,1,8,2,9,1,10,13,8,1,15,2,8,4,14,4,8,2,14,1,16,4,3,1,14,3,18,1,8,1,18,1,14,1,3,2,16,1,14,3,16,4,14,3,16,4,17,1,14,6,17,1,16,13,17,1,14,9,17,1,16,4,17,1,14,3,16,2,17,1,14,3,17,1,16,7,17,1,14,4,17,1,16,6,14,4,16,8,14,3,17,1,16,7,14,10,16,4,14,14,16,3,14,2,16,4,17,2,16,21,17,1,14,4,17,1,16,2,3,1,14,2,15,1,8,2,15,3,8,1,15,2,14,3,15,1,8,1,10,3,9,1,8,4,14,2,3,1,14,2,15,1,14,3,15,1,18,4,8,2,18,4,8,1,10,2,8,1,18,1,14,2,17,2,16,45,14,2,17,1,16,13,3,1,14,1,18,1,10,7,9,3,8,1,15,1,14,4,3,3,14,1,18,1,8,1,10,7,8,5,15,1,14,8,15,2,14,1,16,3,14,1,15,4,14,1,18,1,15,1,14,2,18,1,8,1,10,16,8,6,18,1,8,2,10,4,8,3,10,4,8,2,10,3,9,1,10,1,8,1,15,1,14,4,15,4,14,2,3,1,16,1,14,2,15,5,8,1,10,3,8,1,18,1,8,6,9,1,10,2,8,3,10,6,15,1,14,2,3,4,14,90,3,3,14,85,15,7,14,7,15,5,14,2,15,13,14,6,15,6,14,1,18,8,14,9,15,3,18,3,15,3,14,2,15,3,8,3,18,5,8,5,18,1,8,2,18,5,8,50,10,5,8,20,10,3,8,14,10,16,8,5,10,12,8,3,10,9,8,48,10,43,8,1,10,8,8,9,10,7,8,20,10,27,8,5,10,7,8,7,10,33,8,6,10,38,8,3,10,7,8,3,10,49,8,1,10,123,8,4,10,3,8,1,18,3,8,1,10,1,8,3,10,81,8,2,18,1,4,8,9,1,8,2,10,7,4,3,19,5,4,768,},
{4,668,19,5,4,1,10,3,8,5,15,2,14,14,15,1,8,6,15,3,14,2,16,4,17,1,14,9,18,4,14,2,3,3,16,8,3,3,14,12,15,1,8,4,10,5,8,1,10,11,8,1,15,1,14,1,3,1,14,1,15,1,9,1,8,1,14,1,16,4,3,1,14,1,15,1,8,3,18,1,14,8,16,3,14,3,16,3,14,5,16,2,17,1,14,3,16,11,17,1,14,9,17,1,16,4,14,5,17,2,14,2,17,1,16,7,17,2,14,4,17,2,16,6,14,3,17,2,16,5,14,2,15,1,14,1,17,1,16,6,17,1,14,1,15,2,14,7,16,3,14,16,16,5,17,1,14,3,17,1,16,3,17,4,16,14,17,1,14,4,17,1,16,1,3,1,14,2,15,1,8,5,15,2,14,2,3,2,14,1,15,1,10,4,9,1,8,3,15,1,14,2,3,1,14,1,15,6,8,8,18,2,8,1,10,3,18,1,14,2,17,2,16,36,17,1,16,8,6,1,14,1,17,1,16,13,3,1,14,1,8,1,10,6,9,2,10,2,9,1,15,3,14,2,3,3,14,1,15,1,8,1,10,8,8,3,18,2,15,1,14,3,17,2,14,3,15,1,14,1,17,1,16,3,14,1,15,1,8,4,15,1,14,2,18,1,8,1,10,16,8,1,18,1,8,2,18,4,8,1,10,3,8,2,18,2,8,1,10,3,9,1,10,4,8,1,10,1,8,1,15,1,14,4,15,5,14,1,3,2,14,2,15,4,8,1,10,3,8,10,10,2,9,1,8,2,10,5,8,1,15,1,14,1,3,5,14,89,3,4,14,85,15,7,14,6,15,6,14,2,15,13,14,6,15,7,18,9,15,2,14,6,15,3,18,3,15,8,18,1,8,4,18,3,8,7,18,5,8,50,10,6,8,19,10,5,8,12,10,21,8,6,10,20,8,50,10,16,8,2,10,31,8,2,10,2,8,1,10,1,8,5,10,10,8,14,10,10,8,10,10,8,8,19,10,34,8,5,10,39,8,1,10,9,8,2,10,173,8,5,10,2,8,1,18,2,8,1,10,2,8,3,10,81,8,2,18,1,4,8,9,1,8,2,10,7,4,2,19,5,4,769,},
{4,668,19,5,4,1,10,3,9,1,10,3,8,3,15,1,14,14,15,1,8,8,15,1,14,2,16,3,17,1,14,9,18,3,14,3,3,2,16,9,3,3,14,12,15,1,8,4,10,5,8,3,10,9,8,1,14,1,3,2,14,1,15,1,10,1,9,1,14,1,16,4,3,1,14,1,15,1,8,3,15,1,14,6,15,1,14,1,16,3,14,3,16,2,17,1,14,4,16,4,14,4,16,10,17,1,14,9,17,3,16,1,17,1,14,9,17,1,16,7,14,3,15,2,14,2,17,1,16,6,17,1,14,3,17,1,16,4,17,1,14,1,15,2,14,1,17,1,16,5,17,1,14,1,15,4,14,6,3,1,16,1,3,1,14,3,15,1,14,12,3,1,16,4,14,4,17,1,16,3,14,3,17,1,16,14,17,1,14,4,3,2,14,2,8,4,9,1,8,2,15,2,14,1,3,3,14,1,15,1,10,4,8,4,15,1,14,4,15,1,8,1,15,4,8,1,10,3,9,1,8,1,9,2,8,3,10,3,8,1,14,2,17,2,16,11,17,1,14,1,17,1,16,22,17,1,16,8,6,1,14,1,17,1,16,13,3,1,14,1,18,1,10,3,9,2,8,1,9,4,8,1,15,1,14,1,15,1,14,3,3,1,14,2,15,1,8,2,10,8,8,5,15,1,14,2,3,1,17,2,14,2,15,2,14,1,16,3,14,2,8,4,18,1,14,2,18,1,8,1,10,16,8,1,18,6,8,2,10,3,8,5,10,7,8,2,9,1,8,1,18,1,14,4,15,5,14,2,3,1,14,2,8,9,18,5,8,9,10,5,8,1,14,3,3,4,14,18,3,1,14,70,3,4,14,85,15,10,14,1,15,8,14,1,15,14,14,7,15,6,18,9,15,3,14,5,15,3,18,3,15,8,8,6,18,2,8,7,18,2,8,54,10,6,8,17,10,6,8,7,10,4,8,1,10,21,8,8,10,18,8,49,10,1,8,2,10,14,8,3,10,35,8,6,10,2,8,1,10,10,8,11,10,10,8,12,10,5,8,16,10,38,8,3,10,225,8,10,18,1,8,1,10,2,8,2,10,8,8,1,10,9,8,1,10,63,8,2,18,1,4,8,9,1,8,2,10,7,4,2,19,5,4,769,},
{4,669,19,3,4,3,10,7,9,1,8,2,15,1,14,7,17,4,14,2,15,1,8,9,15,1,14,2,17,3,14,8,18,3,14,2,3,5,16,3,3,2,16,3,3,2,14,13,15,3,8,2,10,5,8,1,18,2,8,2,10,6,8,1,15,1,14,1,3,2,14,1,15,1,9,1,8,1,14,1,16,5,14,1,15,1,8,3,15,1,14,6,15,1,14,1,16,2,14,2,15,1,14,1,17,1,16,1,17,1,14,3,16,5,17,1,14,3,16,10,17,1,14,4,17,4,16,1,17,2,14,12,17,1,16,8,17,1,14,4,17,1,16,8,14,4,16,4,14,2,8,2,14,1,17,1,16,5,14,2,15,1,8,2,15,1,14,7,3,1,14,3,15,1,14,11,15,1,14,2,3,1,16,2,14,5,17,1,16,2,17,1,14,4,17,1,16,13,14,8,15,1,9,2,8,4,15,2,14,2,3,3,14,1,15,1,10,3,9,1,8,2,15,2,14,4,15,1,8,3,15,2,18,1,9,1,10,8,9,2,10,3,8,1,14,4,17,1,16,9,17,1,15,1,8,1,7,1,17,1,16,30,17,1,6,1,16,14,3,1,14,1,15,1,8,10,15,1,14,10,15,1,8,2,10,8,8,6,14,2,17,2,14,2,15,2,14,1,17,1,16,3,14,1,15,1,8,1,10,1,8,2,18,3,8,1,10,15,8,2,18,6,8,1,10,12,8,4,18,2,8,2,18,1,14,4,15,2,8,2,15,1,14,4,15,1,8,6,18,8,8,9,10,5,8,1,15,1,14,2,3,4,14,89,3,5,14,84,15,35,14,6,15,6,18,9,15,3,14,4,15,5,18,2,15,8,18,1,8,6,18,2,8,6,18,2,8,56,10,5,8,16,10,6,8,7,10,26,8,8,10,18,8,49,10,1,8,2,10,13,8,4,10,34,8,11,10,11,8,7,10,10,8,14,10,5,8,14,10,18,8,1,10,249,8,12,10,2,8,1,10,83,8,2,9,1,4,8,9,1,8,2,10,7,4,2,19,5,4,769,},
{4,676,10,7,8,2,15,1,14,4,16,4,17,1,16,2,17,1,14,1,7,1,8,10,15,1,14,2,17,1,14,8,18,4,14,1,3,12,16,1,3,3,14,13,15,4,8,2,10,4,8,1,18,1,15,2,8,1,10,4,8,2,15,2,14,4,15,1,9,1,8,1,14,1,16,6,14,1,8,2,15,1,14,7,15,1,14,1,16,2,14,2,15,1,14,2,16,3,14,1,17,1,16,6,14,2,17,1,16,10,17,1,14,3,17,2,16,5,17,1,14,12,17,1,16,9,17,1,14,2,16,9,17,1,14,4,16,4,17,1,14,1,15,2,14,1,17,1,16,3,17,1,14,2,15,1,8,3,15,1,14,23,15,1,14,10,16,3,14,2,15,2,14,1,17,2,16,11,17,1,14,7,15,1,8,1,9,2,8,4,15,1,14,3,3,3,14,1,15,1,9,1,10,2,8,2,15,2,14,5,8,1,9,1,10,1,8,2,18,1,8,1,10,14,8,1,15,1,14,3,17,1,16,9,14,1,8,3,14,1,16,47,3,1,14,1,15,1,18,4,15,5,14,12,15,2,8,1,9,1,10,6,8,3,10,1,8,2,15,1,14,5,15,2,14,2,16,3,3,1,14,1,8,8,10,15,8,1,18,4,15,1,18,2,8,1,10,12,8,1,18,5,8,1,10,1,8,1,15,1,14,3,15,2,8,2,15,1,14,4,15,1,8,5,18,9,8,1,10,1,8,2,18,1,8,4,10,5,8,1,15,1,14,2,3,3,14,90,3,5,14,84,15,35,14,6,15,6,18,11,15,3,14,2,15,6,18,1,15,8,18,1,8,6,18,2,8,6,18,2,8,57,10,7,8,13,10,6,8,8,10,24,8,9,10,5,8,2,10,11,8,52,10,14,8,3,10,34,8,11,10,17,8,1,10,9,8,13,10,8,8,4,10,4,8,3,10,21,8,6,10,81,8,8,10,151,8,1,10,2,8,3,10,2,8,3,18,1,8,2,10,86,8,3,10,1,4,8,9,1,8,2,10,7,4,2,19,5,4,769,},
{4,676,18,1,8,1,10,4,8,4,15,1,14,2,17,1,16,4,3,1,17,1,16,1,17,1,14,1,7,2,8,9,15,1,14,3,17,2,14,8,18,1,14,4,3,5,14,2,3,7,14,13,15,5,8,1,10,4,8,1,18,1,15,2,18,1,8,1,10,3,8,1,14,7,15,1,8,1,15,1,14,1,16,6,14,1,15,1,8,1,15,1,14,1,3,2,14,1,15,1,14,4,16,2,14,2,15,1,14,2,16,10,17,1,14,2,17,1,16,11,17,1,14,1,17,2,16,7,14,12,16,22,14,2,15,1,14,2,16,4,17,1,14,4,16,5,14,2,15,2,8,1,15,1,14,24,15,2,14,9,16,2,17,1,14,2,15,2,14,3,16,7,17,1,14,6,15,4,8,2,9,3,8,1,15,4,14,3,3,3,14,1,15,1,8,1,9,1,10,1,8,2,15,1,14,2,3,2,14,2,8,1,10,3,8,3,10,10,9,1,10,3,8,1,15,1,14,3,17,1,16,9,14,1,8,1,10,2,15,1,17,1,16,46,3,2,14,2,15,7,14,15,15,1,8,1,10,11,8,1,15,1,14,10,16,2,3,1,14,1,18,1,8,1,10,4,8,1,10,5,8,2,10,8,8,1,18,4,15,1,14,1,15,1,18,1,8,1,10,12,18,2,14,3,18,1,10,2,8,1,18,1,14,3,15,1,18,1,8,3,14,4,15,1,8,1,15,4,8,1,18,2,15,1,18,5,8,1,10,1,8,2,18,1,8,3,10,7,8,1,14,2,3,2,14,12,3,2,14,167,15,14,18,1,15,20,14,5,15,5,18,10,15,5,14,2,15,6,18,1,15,9,18,1,8,6,18,1,8,6,18,1,8,59,10,6,8,13,10,6,8,8,10,23,8,9,10,5,8,5,10,9,8,53,10,13,8,3,10,34,8,13,10,15,8,1,10,9,8,13,10,8,8,3,10,28,8,8,10,80,8,9,10,144,8,1,10,8,8,3,10,2,8,2,18,2,8,1,10,87,8,3,9,1,4,8,9,1,8,2,10,2,8,1,10,4,4,2,19,6,4,768,},
{4,676,18,2,9,1,10,2,8,6,14,2,16,5,14,2,17,1,14,3,7,1,8,3,15,7,14,3,17,3,14,8,18,2,14,4,3,1,14,6,3,4,14,14,15,5,8,1,10,5,8,1,18,1,15,2,18,1,8,2,10,1,8,1,14,1,3,1,14,4,15,3,14,1,3,1,16,6,14,1,8,2,15,1,3,1,16,2,14,1,15,1,14,4,16,2,14,5,16,9,17,1,14,3,17,1,16,11,17,3,16,9,14,10,17,1,16,22,14,1,15,3,14,1,16,5,14,4,16,6,14,2,15,3,14,14,3,2,14,9,15,2,14,7,3,2,14,9,17,1,16,4,17,2,16,1,3,1,14,2,15,3,8,3,9,5,8,1,15,5,14,4,3,2,14,1,15,1,8,1,9,3,8,1,14,2,16,3,14,2,8,1,10,7,8,3,9,1,10,3,8,2,9,2,8,2,15,2,14,3,17,1,16,9,14,1,8,1,10,2,15,1,17,1,16,17,17,1,16,28,3,2,14,2,15,7,14,5,3,1,14,2,3,1,14,6,15,2,8,1,10,10,8,2,15,1,14,9,3,1,16,1,3,1,14,1,15,1,8,1,10,9,8,3,10,3,8,5,18,1,15,4,14,3,15,1,8,3,9,1,10,8,9,1,18,5,8,1,10,3,8,1,15,1,14,2,18,2,8,3,15,1,14,3,15,4,14,1,15,1,8,2,18,5,15,2,18,1,8,3,18,1,8,3,10,7,8,1,14,2,3,2,14,12,3,3,14,167,15,13,8,1,15,21,14,4,15,4,18,1,8,1,18,9,15,4,14,3,15,15,18,2,8,74,10,5,8,1,18,1,8,11,10,6,8,7,10,22,8,7,10,9,8,7,10,8,8,1,10,1,8,30,10,1,8,16,10,16,8,4,10,17,8,1,10,14,8,20,10,1,8,1,10,16,8,12,10,10,8,3,10,31,8,3,10,34,8,1,10,49,8,7,10,153,8,3,10,2,8,2,18,2,10,88,8,3,9,1,4,7,18,1,9,1,8,2,10,7,4,2,19,6,4,768,},
{4,676,18,3,8,3,15,2,8,3,15,1,14,1,16,5,14,6,7,4,8,2,15,3,14,5,17,3,14,8,18,3,14,28,15,5,8,1,10,6,8,1,18,1,14,3,15,1,8,1,15,1,3,1,16,3,3,1,14,1,15,3,14,1,16,7,14,1,8,1,9,1,15,1,3,1,16,2,14,5,16,2,14,8,16,5,14,6,17,1,16,20,17,1,16,3,17,1,14,7,16,24,14,1,15,3,14,1,16,15,14,2,15,3,14,5,15,2,14,6,3,3,14,10,15,1,14,15,15,2,14,3,16,3,17,1,14,1,16,1,3,1,14,1,15,1,8,5,10,5,8,1,18,1,15,7,14,2,3,3,14,1,8,2,9,1,8,1,15,1,14,1,16,4,14,1,15,1,8,1,10,6,8,1,15,1,14,2,8,4,15,7,14,4,16,10,14,1,8,3,15,1,16,18,17,1,16,30,3,1,14,3,15,4,14,6,16,4,3,1,14,6,15,1,8,4,10,7,8,2,15,1,14,9,3,1,16,1,3,1,14,1,15,1,8,2,10,7,8,8,18,4,14,9,15,1,18,1,8,4,10,7,8,1,18,4,9,1,10,3,8,1,18,1,14,2,18,2,8,3,18,1,15,1,14,1,15,1,18,2,15,2,14,1,15,1,8,1,10,1,18,4,14,2,15,1,18,1,8,3,18,1,8,2,10,8,8,1,15,1,14,1,3,1,14,14,3,3,14,80,3,3,14,86,15,33,14,3,15,4,8,2,18,9,15,4,14,3,15,15,18,2,8,32,10,1,8,4,10,1,8,37,10,3,8,1,18,1,14,2,18,1,8,11,10,4,8,8,10,5,8,22,10,10,8,8,10,8,8,31,10,1,8,10,10,1,8,1,10,20,8,4,10,17,8,3,10,12,8,23,10,1,8,4,10,10,8,12,10,10,8,3,10,16,8,2,10,13,8,3,10,21,8,1,10,12,8,1,10,51,8,5,10,4,8,1,10,147,8,4,10,3,8,1,18,1,8,1,10,2,8,1,10,85,8,3,9,1,4,7,18,1,9,1,8,2,10,7,4,2,19,5,4,769,},
{4,671,19,4,4,2,18,3,8,1,15,4,8,2,15,1,14,1,16,5,17,1,14,5,7,4,8,2,15,1,14,7,17,3,14,8,18,3,15,1,14,27,15,5,8,1,10,7,18,1,14,1,3,2,14,1,15,1,14,1,3,1,16,4,14,1,15,3,14,1,16,7,14,1,9,1,10,1,15,1,16,4,14,3,16,2,14,4,16,2,14,4,16,3,14,2,15,3,14,3,16,1,17,1,16,4,17,1,16,11,17,1,14,2,17,1,16,4,17,1,14,4,16,25,14,2,15,1,14,2,16,14,17,1,14,1,15,2,8,1,15,1,14,4,15,3,14,6,3,3,14,26,15,2,14,3,16,4,14,1,16,1,3,1,14,1,8,2,10,1,8,4,10,4,9,1,15,2,14,1,15,5,14,2,3,1,16,1,3,1,14,1,8,3,15,1,14,1,3,1,16,4,14,1,15,1,10,7,8,1,14,4,15,2,14,10,17,1,14,1,16,10,14,1,8,3,14,1,16,18,17,1,16,30,3,1,14,5,15,1,14,8,16,5,3,1,14,4,15,2,8,4,10,6,8,3,15,2,14,7,3,3,14,1,18,1,8,5,10,4,8,2,18,2,8,2,18,4,15,2,14,11,15,3,18,1,8,1,10,7,8,2,9,2,10,3,9,1,18,1,14,4,18,1,8,1,9,2,8,1,18,1,15,1,18,1,8,3,15,3,8,2,18,8,8,6,10,8,8,1,15,1,14,1,3,1,14,2,15,1,14,11,3,3,14,80,3,3,14,91,15,28,14,1,15,6,8,2,18,9,15,23,18,1,8,32,10,1,8,3,10,3,8,40,14,4,18,1,8,11,10,2,8,9,10,5,8,21,10,11,8,9,10,7,8,17,10,3,8,11,10,33,8,3,10,9,8,2,10,6,8,5,10,9,8,30,10,10,8,6,10,16,8,3,10,15,8,3,10,14,8,1,10,22,8,1,10,66,8,3,10,2,8,4,10,146,8,4,10,3,8,3,10,2,8,2,10,84,8,3,10,1,4,7,18,1,8,3,10,7,4,776,},
{4,671,19,4,4,3,18,3,15,1,14,2,15,2,8,1,15,1,14,2,17,1,16,4,17,1,14,5,7,3,8,2,15,1,14,7,17,3,14,9,18,2,14,29,15,4,8,2,10,6,8,1,14,1,3,1,16,1,3,1,14,2,3,1,16,4,3,1,14,1,15,2,14,1,16,7,14,1,10,2,8,1,16,6,14,1,3,1,14,5,16,2,14,1,15,1,8,1,14,1,16,3,14,1,15,1,8,2,15,2,14,2,17,2,16,4,14,1,17,1,16,10,14,4,17,1,16,4,17,1,14,2,16,8,17,1,14,1,17,1,16,7,17,2,16,6,14,4,17,1,16,14,14,1,15,2,8,2,15,1,14,4,15,4,14,6,3,2,14,3,15,4,14,19,15,1,8,1,15,1,14,2,16,4,14,1,3,1,14,1,15,1,8,1,10,2,8,2,15,1,8,2,10,3,9,1,18,1,15,1,14,1,15,1,18,1,15,3,14,2,16,3,14,1,15,1,8,1,15,1,14,1,3,1,16,5,14,1,8,1,10,3,8,4,15,1,14,1,16,2,14,12,17,1,16,1,17,1,16,9,17,1,14,1,8,2,15,1,17,1,16,49,3,1,14,15,17,1,16,3,3,1,14,4,15,3,18,2,8,1,10,7,8,4,15,1,14,6,3,2,14,1,15,1,8,3,18,3,8,2,10,1,8,2,18,2,15,1,18,3,14,6,3,3,14,10,15,1,8,1,10,2,9,1,8,1,10,9,9,1,8,1,18,1,14,4,15,1,18,1,8,1,9,2,8,3,9,2,8,6,18,5,8,8,9,1,10,8,8,1,15,1,14,4,15,1,14,10,3,4,14,80,3,3,14,92,15,34,8,2,18,10,15,22,18,1,8,36,10,3,8,40,14,1,3,1,14,2,18,1,8,22,10,5,8,21,10,11,8,9,10,7,8,17,10,3,8,9,10,1,8,1,10,34,8,1,10,18,8,6,10,8,8,15,10,13,8,2,10,10,8,6,10,16,8,4,10,13,8,4,10,15,8,2,10,87,8,10,10,145,8,4,10,7,8,2,10,85,8,3,9,1,4,7,18,1,9,1,8,1,10,8,4,776,},
{4,671,19,5,4,2,18,3,15,2,14,3,15,2,14,3,17,1,16,3,17,1,14,6,7,1,15,1,8,3,14,4,17,6,14,40,15,4,8,2,10,6,8,1,15,1,3,3,14,2,3,1,16,1,3,1,16,3,14,1,15,1,8,1,14,1,16,7,14,1,9,1,10,1,8,1,16,6,3,1,14,6,16,2,14,1,15,1,8,1,15,1,17,1,16,3,15,1,8,2,15,2,14,3,17,1,16,3,17,1,14,1,17,1,16,9,17,1,14,5,16,4,17,1,14,1,17,1,16,6,17,1,16,1,17,1,14,2,16,7,17,2,16,6,17,1,14,2,17,1,16,14,14,2,15,1,8,3,15,1,14,4,15,4,14,9,15,7,14,17,15,2,8,1,15,1,14,2,3,1,16,2,3,1,14,3,18,1,8,1,10,1,8,2,15,3,8,1,9,1,10,3,8,1,15,1,14,1,15,1,8,1,18,1,15,2,14,2,16,3,14,2,15,1,14,2,16,6,14,1,8,1,10,2,9,1,8,1,15,3,14,2,16,11,17,1,14,1,17,1,16,12,17,1,14,1,8,2,14,1,16,50,3,1,14,9,16,2,14,5,16,3,14,6,15,3,18,1,8,1,10,9,8,4,14,5,3,1,14,2,18,1,8,3,18,4,8,4,18,1,15,5,14,6,3,3,14,10,15,1,8,2,10,1,9,1,10,10,8,1,18,1,14,6,18,1,8,1,10,1,9,4,10,2,9,1,8,1,9,1,8,2,18,1,8,5,10,16,8,2,14,15,3,6,14,1,3,3,14,64,3,1,14,10,3,3,14,93,15,4,14,6,15,23,8,1,15,3,18,1,15,24,18,1,15,4,18,1,8,37,10,2,8,40,14,4,18,1,8,22,10,5,8,22,10,13,8,4,10,8,8,17,10,4,8,9,10,20,8,2,10,14,8,1,10,7,8,4,10,6,8,7,10,6,8,16,10,24,8,4,10,20,8,5,10,12,8,4,10,15,8,3,10,85,8,11,10,144,8,5,10,95,8,2,9,1,4,8,9,1,8,1,10,8,4,776,},
{4,671,19,5,4,2,18,3,15,2,14,4,15,3,14,2,16,4,14,6,7,1,15,1,8,3,15,1,14,3,16,5,17,1,14,10,15,1,14,30,15,2,8,4,10,7,18,1,14,1,3,3,16,1,3,1,14,2,16,2,14,2,8,1,15,1,16,7,14,1,8,1,10,1,8,1,14,1,16,6,14,3,3,1,16,3,14,2,8,1,9,1,8,1,14,1,16,3,14,1,8,2,15,2,14,4,16,3,17,3,16,8,17,2,14,2,15,1,14,2,16,4,14,2,17,1,16,5,17,2,16,2,17,2,16,7,17,1,16,12,17,1,14,1,17,1,16,9,14,2,15,1,8,3,15,1,14,5,15,4,14,2,15,4,14,2,15,6,8,1,15,2,14,15,15,1,8,4,15,1,14,1,3,1,16,1,3,1,14,2,15,1,8,2,10,2,8,1,18,1,15,1,14,1,15,1,8,2,9,1,10,1,9,1,8,1,15,2,18,3,15,1,14,2,3,1,16,2,3,1,14,3,3,1,16,6,14,1,15,1,10,3,8,1,15,1,14,5,16,11,17,2,16,13,17,1,15,1,9,1,8,1,14,1,16,16,17,1,16,34,14,2,3,1,16,3,14,2,17,1,16,3,14,15,15,1,18,2,8,1,10,10,8,3,14,6,18,1,8,4,18,4,8,4,18,1,15,1,14,1,15,2,14,7,3,3,14,11,15,1,8,2,9,1,10,9,8,1,18,3,14,4,18,2,8,1,10,4,9,1,10,2,8,2,9,2,18,2,8,1,9,3,10,4,9,1,10,11,8,1,15,1,14,5,15,1,14,7,3,13,14,64,3,1,14,107,15,3,14,6,15,52,18,1,15,4,18,4,8,76,18,1,14,1,18,2,8,23,10,1,8,33,10,16,8,15,10,2,8,3,10,3,8,9,10,12,8,11,10,21,8,5,10,3,8,10,10,3,8,19,10,23,8,4,10,22,8,5,10,9,8,5,10,15,8,5,10,17,8,2,10,63,8,11,10,145,8,4,10,97,8,2,10,1,4,6,10,1,8,2,10,8,4,776,},
{4,671,19,4,4,4,18,2,14,6,15,1,8,2,15,1,14,1,16,4,14,6,7,1,8,4,15,2,14,2,16,6,14,8,15,1,18,2,15,1,14,7,3,2,14,16,17,2,14,2,15,2,8,5,10,7,18,1,3,1,16,3,14,1,15,2,14,1,16,2,14,1,8,1,15,1,16,7,14,1,8,1,10,2,15,1,16,5,3,1,14,3,16,4,14,2,8,2,15,1,14,1,16,3,14,1,15,3,14,6,17,1,16,1,17,3,16,6,17,4,14,5,16,4,14,2,17,1,16,31,14,3,16,9,14,1,15,5,14,7,15,3,14,2,15,2,8,1,15,9,8,2,15,4,14,1,15,3,14,7,15,1,8,6,15,1,14,1,3,2,14,1,8,3,10,3,8,1,18,1,15,2,18,1,8,1,9,3,8,1,18,1,15,2,18,2,15,2,14,2,3,1,16,2,3,1,14,1,3,1,16,3,14,3,3,1,14,2,15,1,10,3,8,1,15,1,14,5,16,11,17,2,16,13,17,1,15,1,10,2,15,1,17,1,16,14,17,1,14,1,17,1,16,3,17,1,16,29,14,2,3,1,16,3,14,3,16,3,14,6,17,1,16,2,14,7,18,3,8,1,10,9,8,3,15,1,14,4,15,1,18,1,8,2,10,2,8,1,18,4,8,3,18,1,15,1,14,1,15,2,14,3,3,1,14,3,3,2,14,12,15,2,8,1,10,2,9,1,8,2,9,1,10,4,8,1,18,7,15,1,18,1,8,1,10,3,9,3,8,5,18,1,8,1,9,1,10,1,9,1,8,1,10,1,9,1,8,2,18,1,8,1,10,10,15,1,14,5,15,2,14,6,3,12,14,174,15,12,8,2,15,18,8,2,18,1,15,6,18,3,15,5,18,1,15,16,18,6,8,23,18,3,8,54,10,2,8,18,10,2,8,20,10,2,8,12,10,14,8,14,10,4,8,2,10,4,8,9,10,7,8,16,10,22,8,4,10,3,8,11,10,2,8,21,10,19,8,4,10,8,8,1,10,1,8,11,10,4,8,5,10,8,8,5,10,15,8,5,10,16,8,4,10,46,8,1,10,15,8,10,10,145,8,4,10,5,8,2,10,59,8,3,10,30,8,2,9,1,10,1,4,1,10,1,9,2,8,2,10,9,4,776,},
{4,671,19,4,4,4,18,2,14,7,8,3,14,2,16,3,14,5,7,2,8,1,15,5,14,2,16,6,17,1,14,6,15,2,18,1,15,1,14,8,3,2,14,20,15,5,8,2,10,7,9,1,14,1,3,1,16,2,14,1,8,2,14,1,16,2,3,1,8,2,16,7,14,1,15,1,10,2,8,1,14,1,16,5,14,2,16,5,14,1,15,1,8,2,15,1,14,1,16,4,14,8,17,2,16,10,17,4,14,4,17,1,16,3,17,1,14,2,17,1,16,17,14,2,17,1,16,12,14,2,16,3,17,2,16,3,14,2,15,4,14,6,15,1,14,5,15,2,8,3,15,3,8,1,15,4,8,2,15,8,14,4,15,3,8,2,9,1,8,3,18,1,14,4,15,1,8,2,10,3,8,3,18,2,8,2,10,2,8,2,18,1,15,2,18,2,15,1,14,2,3,4,14,2,3,1,16,2,3,1,14,5,15,1,8,1,10,3,8,1,15,1,14,5,16,27,14,1,8,1,9,1,8,1,14,2,16,13,14,2,17,1,16,32,3,1,14,2,3,1,16,3,14,3,16,4,14,15,18,3,8,2,10,10,8,2,15,1,14,2,15,1,8,3,10,4,8,1,18,2,8,2,9,1,8,2,15,2,18,1,15,1,14,10,15,3,14,10,18,1,10,2,8,1,18,1,8,1,10,5,9,1,8,1,18,2,8,3,18,3,8,7,18,3,8,1,9,1,8,2,10,2,8,5,18,1,15,1,18,1,8,1,10,8,8,1,15,1,14,12,3,13,14,5,3,3,14,166,15,1,14,1,15,13,8,2,15,20,18,11,15,1,18,1,15,15,18,7,8,24,18,1,8,52,10,7,8,38,10,2,8,12,10,1,8,4,10,8,8,15,10,13,8,6,10,3,8,21,10,19,8,6,10,3,8,12,10,1,8,1,10,1,8,23,10,15,8,4,10,10,8,11,10,5,8,3,10,9,8,5,10,15,8,6,10,17,8,2,10,46,8,1,10,15,8,9,10,147,8,3,10,5,8,2,10,98,8,5,10,8,4,776,},
{4,672,19,5,4,3,18,1,14,4,16,3,14,1,8,3,15,1,14,1,17,1,16,1,17,1,14,4,7,1,15,6,14,2,16,6,17,3,14,5,15,1,8,1,15,1,14,10,3,1,14,4,18,1,15,1,14,2,3,1,14,11,15,5,18,1,8,1,10,7,8,1,14,1,3,3,14,1,8,1,15,1,14,1,16,3,8,2,3,1,16,6,14,2,8,1,10,1,9,1,15,1,16,6,14,1,3,1,16,3,14,2,8,2,15,1,14,1,17,1,16,4,14,7,17,1,16,13,14,4,15,1,14,2,16,3,17,1,14,3,16,18,14,3,16,17,14,2,17,1,16,2,14,2,15,4,14,1,16,2,14,2,15,2,14,5,15,2,8,2,15,6,14,2,15,9,14,6,15,4,8,4,15,1,14,4,18,1,8,12,9,1,10,2,8,1,18,1,15,3,18,1,15,1,14,2,3,1,16,1,3,2,14,4,3,2,14,6,8,1,10,3,8,1,15,1,14,6,16,27,17,1,14,1,8,1,10,1,9,1,15,1,14,1,17,1,16,11,6,1,14,1,16,17,17,1,16,2,17,1,16,12,14,5,17,1,14,4,16,5,14,4,15,2,14,2,17,1,16,2,14,2,15,1,18,3,8,6,10,4,8,1,10,1,8,2,15,1,14,2,8,4,10,11,8,2,18,2,15,2,14,2,15,3,14,3,15,1,8,3,14,2,3,1,14,3,15,1,14,3,15,1,10,2,18,2,10,7,8,1,18,2,10,4,8,1,18,5,8,1,9,1,18,3,8,1,10,6,18,5,15,1,14,2,8,1,10,3,8,2,10,1,8,2,15,2,14,13,3,5,16,3,3,1,14,6,3,12,16,2,3,1,14,13,3,1,14,33,3,1,14,14,15,2,14,97,15,11,8,1,15,2,14,2,15,13,14,2,15,1,8,4,18,1,15,1,18,2,8,3,18,1,15,10,14,2,15,3,18,1,8,15,18,1,8,49,10,2,8,6,10,1,8,7,10,13,8,48,10,2,8,6,10,6,8,14,10,3,8,2,10,14,8,10,10,5,8,9,10,6,8,4,10,2,8,1,10,7,8,6,10,3,8,12,10,2,8,7,10,5,8,14,10,11,8,6,10,14,8,8,10,16,8,6,10,14,8,5,10,7,8,2,10,57,8,6,10,10,8,9,10,147,8,3,10,5,8,1,10,52,8,6,10,41,8,5,10,8,4,776,},
{4,672,19,6,4,2,18,2,14,3,17,1,16,2,14,1,15,1,8,2,15,1,14,1,17,1,16,1,17,1,14,2,15,5,14,2,15,1,14,3,16,6,17,3,14,5,15,2,14,16,18,2,15,1,14,1,3,2,14,11,15,4,18,1,8,2,10,5,8,1,18,1,14,3,15,1,8,2,15,1,14,1,16,3,15,2,14,1,16,7,14,1,8,1,10,1,9,1,15,1,16,12,14,1,8,2,15,1,14,1,16,6,14,6,16,9,14,2,17,1,16,2,14,4,15,1,14,2,16,1,17,1,14,4,17,1,16,13,17,1,16,3,17,1,14,1,15,1,14,1,16,17,14,6,15,3,14,2,16,3,14,2,15,1,14,2,16,2,14,2,15,5,14,2,15,2,14,4,15,7,14,7,15,2,8,2,10,2,8,1,15,1,14,1,3,1,14,2,18,1,8,2,18,4,8,7,10,3,8,1,18,1,15,1,14,2,15,2,14,1,3,3,14,10,16,2,14,2,8,1,9,2,8,1,15,2,14,6,17,1,16,28,14,1,10,2,15,1,14,2,16,5,17,1,16,5,17,2,16,17,17,1,16,1,17,3,16,9,14,12,17,1,16,3,17,1,14,5,15,2,14,3,3,1,14,2,15,1,18,2,8,4,18,2,8,10,18,2,8,4,10,12,8,2,18,1,15,2,14,2,15,1,18,2,15,1,14,1,15,1,8,1,10,2,8,1,15,1,14,1,3,1,14,2,15,1,8,1,15,2,14,1,18,1,10,2,18,2,10,8,18,2,10,4,9,1,8,1,18,2,14,1,18,1,8,1,10,1,8,1,18,2,8,1,10,6,18,1,14,2,18,2,14,3,18,1,8,3,15,2,8,2,14,2,15,1,14,13,3,5,16,3,3,1,14,6,3,5,14,4,3,1,16,5,14,12,3,3,14,39,3,2,14,6,15,3,14,97,15,12,14,3,15,13,14,2,15,1,8,4,18,1,15,2,18,1,8,3,15,12,14,2,15,1,18,1,8,15,18,3,8,55,10,2,8,4,18,1,8,2,10,4,8,5,10,8,8,44,10,2,8,6,10,6,8,7,10,2,8,5,10,1,8,4,10,16,8,7,10,7,8,8,10,6,8,4,10,2,8,2,10,5,8,7,10,2,8,4,10,4,8,5,10,3,8,6,10,5,8,5,10,3,8,9,10,3,8,15,10,10,8,6,10,1,8,4,10,13,8,7,10,13,8,5,10,6,8,7,10,26,8,2,10,25,8,7,10,10,8,8,10,131,8,2,10,75,8,6,10,41,8,5,10,2,8,1,10,4,4,777,},
{4,672,19,6,4,3,18,2,14,6,15,3,14,2,16,2,17,1,14,2,15,3,7,2,14,1,15,2,14,3,16,7,17,2,14,5,15,1,14,3,3,2,14,2,3,2,14,5,15,2,18,1,8,1,18,1,15,1,14,17,15,1,18,1,8,1,10,6,18,1,14,1,3,1,14,1,15,1,8,1,10,1,8,1,15,1,14,1,16,3,14,3,16,7,14,1,8,3,15,1,16,12,14,1,15,1,8,1,15,1,14,1,16,6,17,1,14,5,17,1,16,7,17,1,14,2,17,1,16,2,14,13,16,13,17,1,14,1,17,1,16,2,14,4,16,20,14,2,15,1,8,1,15,1,14,1,16,4,14,5,16,3,14,16,15,4,14,10,15,1,8,1,10,3,8,1,14,1,3,2,14,1,15,1,8,2,18,5,8,7,10,2,9,1,8,1,18,1,15,1,14,5,3,2,14,3,15,1,14,7,16,2,3,1,14,2,15,4,14,7,17,1,16,28,14,1,8,2,14,1,16,7,17,1,16,24,17,3,14,1,17,1,16,7,17,1,14,13,16,3,14,17,18,2,8,12,10,3,8,6,10,12,8,3,18,1,14,4,18,3,8,2,9,1,10,2,8,1,15,1,14,3,15,1,8,6,10,2,18,1,8,1,10,8,8,1,18,2,9,1,10,3,8,2,18,3,9,1,10,2,9,1,8,1,9,1,10,6,18,1,14,3,15,1,14,1,3,1,14,1,15,1,18,1,8,1,15,1,14,1,15,1,18,1,15,1,14,16,3,5,16,3,3,2,14,5,3,3,14,6,3,2,16,4,14,13,3,1,14,27,3,2,14,19,15,2,14,62,15,3,14,39,15,6,14,3,15,16,8,4,15,4,18,3,15,15,18,1,8,2,18,2,8,11,18,3,8,55,10,2,8,3,18,3,8,2,10,2,8,9,10,1,8,1,10,3,8,45,10,1,8,6,10,7,8,7,10,1,8,4,10,2,8,3,10,19,8,5,10,8,8,8,10,4,8,4,10,4,8,1,10,4,8,9,10,1,8,2,10,6,8,4,10,4,8,16,10,3,8,9,10,3,8,16,10,7,8,7,10,2,8,4,10,13,8,7,10,13,8,5,10,4,8,8,10,27,8,2,10,25,8,7,10,11,8,7,10,131,8,2,10,22,8,1,10,53,8,6,10,32,8,1,10,7,8,5,10,2,8,1,10,3,4,778,},
{4,672,19,6,4,4,18,1,15,2,14,5,15,1,14,3,16,2,14,2,15,3,7,1,14,2,15,3,14,3,17,1,16,8,14,8,3,1,14,4,3,3,14,4,15,1,18,2,8,1,18,1,14,11,17,1,16,1,17,2,14,3,15,1,8,2,10,5,8,1,14,1,3,3,18,1,10,2,9,1,14,2,16,3,14,3,16,7,14,1,15,1,8,2,15,1,14,1,16,12,14,1,15,2,14,1,16,7,14,5,17,1,16,7,14,3,17,1,16,2,17,1,14,12,16,13,14,2,17,1,16,1,17,1,14,3,17,1,16,13,14,2,16,5,14,2,15,1,8,1,15,1,16,5,14,4,16,4,14,6,17,1,16,1,14,9,15,2,14,8,15,3,8,1,10,4,8,1,14,1,3,2,14,1,18,1,8,2,18,2,8,3,18,1,8,3,10,4,9,1,8,2,18,1,15,1,14,1,3,1,14,1,3,2,14,2,15,5,14,2,15,1,14,2,16,4,14,13,16,30,14,2,17,1,16,28,17,1,16,1,17,1,14,7,16,4,14,16,16,4,14,3,16,4,14,2,15,3,14,4,18,2,8,13,10,3,8,2,18,2,8,2,10,12,8,2,18,1,15,1,14,3,18,1,8,2,10,5,8,1,18,1,15,1,14,1,15,1,8,2,10,18,18,3,10,5,8,1,18,2,8,1,10,3,8,2,9,2,8,1,9,1,10,1,9,1,18,1,14,5,3,2,14,21,3,1,14,2,3,5,16,3,3,2,14,5,3,1,14,9,17,1,16,3,3,1,14,40,3,3,14,83,15,1,8,1,15,2,14,47,15,15,8,5,15,16,18,2,15,5,8,2,18,7,8,6,18,3,8,40,10,1,8,14,10,1,8,3,18,2,14,2,18,1,8,14,10,2,8,52,10,9,8,6,10,2,8,1,10,3,8,4,10,20,8,6,10,6,8,36,10,8,8,3,10,4,8,16,10,4,8,5,10,4,8,19,10,6,8,4,10,5,8,6,10,11,8,6,10,14,8,5,10,4,8,7,10,28,8,3,10,24,8,7,10,12,8,6,10,131,8,2,10,12,8,2,10,7,8,2,10,10,8,1,10,42,8,6,10,30,8,4,10,6,8,5,10,2,8,1,10,3,4,778,},
{4,672,19,6,4,4,8,2,15,4,14,5,17,1,16,2,14,3,15,3,14,2,15,2,14,4,17,1,16,8,17,1,14,7,3,1,14,4,3,5,14,2,15,1,18,2,8,1,18,1,14,2,3,1,14,7,17,1,16,3,17,1,14,2,15,2,8,1,10,6,18,1,3,1,16,2,3,1,18,1,10,2,8,1,14,2,16,3,14,4,16,6,17,1,15,1,8,2,15,1,14,2,16,11,14,1,15,2,14,1,16,7,14,4,17,1,16,8,14,3,16,3,17,1,14,1,17,1,16,3,17,2,14,4,17,1,16,13,14,2,16,3,17,1,14,2,16,2,17,1,14,1,17,1,16,6,14,1,16,1,17,1,14,2,16,4,14,3,15,2,14,1,16,5,14,3,16,4,14,5,16,4,14,5,17,2,14,2,15,2,14,2,3,1,14,4,15,1,8,1,9,2,10,5,8,1,15,1,14,2,15,1,18,1,8,1,9,1,8,2,10,2,8,5,10,3,9,1,8,2,18,2,15,1,14,2,3,2,14,2,15,2,8,2,15,3,14,1,15,1,14,1,16,5,14,4,15,1,14,7,17,1,16,54,17,1,14,2,17,1,16,1,17,1,14,12,17,2,14,17,16,12,14,2,15,2,14,3,18,4,8,5,18,4,8,7,18,4,8,1,10,12,8,2,18,3,14,2,18,1,8,1,10,6,8,2,18,2,8,2,10,19,8,1,18,2,9,1,10,5,8,1,18,2,8,1,9,2,18,4,8,2,10,1,9,1,18,1,14,5,3,2,14,2,3,3,14,15,3,9,16,3,3,1,14,16,17,1,16,3,14,40,17,5,14,82,15,1,8,1,15,2,14,48,15,13,8,4,15,4,14,4,15,19,18,9,8,4,18,3,8,33,10,1,8,5,10,2,8,17,18,2,14,3,18,1,8,14,10,2,8,46,10,1,8,5,10,12,8,3,10,6,8,4,10,20,8,8,10,2,8,38,10,9,8,2,10,4,8,16,10,4,8,4,10,5,8,20,10,5,8,2,10,8,8,5,10,11,8,5,10,24,8,7,10,28,8,3,10,24,8,8,10,12,8,5,10,145,8,2,10,6,8,3,10,53,8,7,10,29,8,5,10,6,8,4,10,2,8,1,10,3,4,778,},
{4,673,19,4,4,5,10,1,8,2,15,1,8,1,15,1,14,6,17,1,16,1,17,1,14,7,15,2,14,7,17,1,16,6,17,1,14,5,17,1,14,2,15,2,14,2,3,2,14,1,3,2,14,2,18,3,14,2,3,3,14,5,17,2,16,3,17,1,14,2,15,1,8,1,10,6,18,1,14,1,3,1,16,2,3,1,18,1,10,2,15,1,14,3,16,1,3,1,14,1,15,2,14,1,16,7,14,1,15,4,14,3,16,9,14,1,15,2,14,1,16,8,14,2,17,1,16,9,17,2,16,4,17,2,16,7,17,4,16,18,17,1,14,2,16,2,17,1,14,2,16,5,17,1,14,5,16,3,14,6,16,4,17,3,16,5,17,1,14,4,16,3,17,2,14,5,16,2,14,5,16,2,3,1,14,3,8,1,10,8,8,2,15,4,8,1,9,2,10,4,8,4,10,2,9,2,8,3,18,2,15,1,14,4,15,2,8,4,15,3,14,2,16,5,17,1,14,2,15,6,14,3,16,53,17,1,14,8,15,2,14,5,15,3,14,21,16,12,14,2,15,4,18,4,8,5,18,4,8,3,18,1,8,3,18,4,8,1,10,12,8,5,18,3,8,1,10,6,8,2,18,1,8,2,10,14,8,1,10,6,8,1,18,2,8,1,10,4,9,1,18,10,8,1,9,1,8,1,18,1,15,4,14,2,3,4,16,2,3,3,16,2,3,1,14,1,17,3,14,5,16,2,3,2,16,2,3,1,14,2,16,3,14,17,17,1,16,2,17,1,14,36,17,1,14,1,17,8,14,81,15,3,14,50,15,11,8,2,15,6,14,6,15,5,14,3,15,10,18,10,8,38,10,2,8,5,10,2,8,17,18,6,8,14,10,2,8,42,10,2,8,7,10,13,8,3,10,6,8,5,10,23,8,12,18,1,8,1,18,3,14,2,15,1,18,2,8,1,18,2,14,1,18,1,8,17,10,8,8,5,10,1,8,16,10,14,8,20,10,5,8,2,10,8,8,4,10,42,8,5,10,29,8,3,10,24,8,13,10,8,8,4,10,143,8,4,10,7,8,1,10,54,8,7,10,30,8,5,10,6,9,1,8,2,10,2,18,2,10,1,4,779,},
{4,682,10,1,8,4,15,1,14,7,17,2,14,7,15,3,14,3,15,1,14,3,16,6,17,1,14,5,17,1,14,1,15,1,8,2,15,1,14,4,3,2,14,2,18,3,14,2,3,3,14,5,17,3,16,2,17,1,14,2,8,2,10,5,8,1,18,2,14,1,3,3,15,1,9,2,15,1,14,6,15,1,8,1,15,1,14,1,16,6,14,3,15,2,14,4,16,7,14,1,15,2,14,1,16,10,17,1,16,16,17,2,16,8,17,4,16,18,14,2,16,2,17,1,14,2,16,6,14,4,16,3,14,5,16,4,14,4,16,6,14,5,16,3,14,6,17,1,16,3,14,3,3,1,16,3,14,2,15,1,8,1,10,6,9,1,8,4,15,1,14,1,15,2,8,1,10,5,8,11,18,3,14,3,15,6,8,2,15,1,14,2,16,7,14,2,15,1,8,4,15,1,14,3,16,15,17,1,16,18,17,1,14,2,17,3,16,12,17,1,14,5,15,1,14,1,15,1,8,4,15,5,8,2,15,2,14,7,16,4,14,8,17,1,16,7,14,2,16,2,3,1,14,2,8,4,18,3,8,2,10,1,8,2,18,4,8,3,18,1,8,4,18,2,8,2,10,11,8,3,10,3,8,5,10,4,8,2,18,3,8,2,10,20,8,1,18,3,8,1,10,4,18,5,14,3,18,3,8,2,18,5,15,1,14,1,3,3,16,3,3,2,16,7,17,1,14,5,16,2,3,2,16,1,3,2,14,2,3,1,16,2,14,12,15,1,14,4,17,3,14,41,17,4,14,124,15,3,14,9,15,11,8,2,15,2,7,4,14,6,15,5,14,4,15,5,14,2,15,2,18,10,8,38,10,1,8,25,18,5,8,15,10,2,8,40,10,7,8,4,10,4,8,4,10,5,8,2,10,5,8,7,10,28,8,6,18,5,14,4,18,4,14,3,15,1,8,5,10,2,8,9,10,7,8,21,10,16,8,17,10,2,8,7,10,9,8,3,10,59,8,1,10,19,8,1,10,25,8,14,10,8,8,1,10,75,8,1,10,68,8,4,10,63,8,7,10,31,8,1,9,1,10,1,4,6,10,1,8,2,10,2,18,2,4,780,},
{4,682,10,1,8,4,15,1,14,7,17,4,14,4,15,8,8,2,7,1,14,1,16,6,17,1,14,2,17,3,14,1,8,1,10,1,8,2,14,4,3,3,14,1,18,2,15,1,14,2,3,2,14,8,17,4,14,2,8,2,10,5,18,2,8,1,18,1,14,3,15,1,8,2,15,4,14,3,15,1,9,1,8,1,14,1,16,8,14,8,16,4,14,3,15,2,14,1,16,27,17,1,16,9,17,1,14,3,17,2,16,8,17,2,16,6,14,1,17,1,16,3,14,2,16,6,15,3,14,1,16,3,14,3,16,6,14,4,16,7,17,2,16,4,17,1,14,4,17,2,16,4,14,3,16,4,3,1,14,1,15,1,8,1,10,5,9,1,8,1,15,1,8,2,15,2,14,2,15,1,8,1,9,1,10,3,8,3,18,2,8,4,9,2,8,2,18,2,15,4,8,3,15,2,8,3,14,2,16,7,17,1,14,2,15,1,8,3,15,1,14,3,17,1,16,14,17,1,16,18,17,3,14,3,16,12,14,4,15,4,8,2,10,2,8,3,15,2,8,5,15,1,14,5,16,6,14,9,16,6,14,6,15,1,8,2,10,2,8,1,18,2,8,2,10,2,8,2,18,1,8,12,10,6,8,1,10,6,8,1,18,1,8,1,10,4,8,4,10,4,8,1,18,1,15,1,14,2,15,1,8,1,10,6,8,1,10,13,8,1,18,1,14,2,18,1,10,4,8,1,18,3,14,3,18,4,8,2,18,2,8,3,18,1,14,2,3,2,16,13,17,1,14,4,16,2,3,2,17,1,3,1,14,4,16,2,14,17,17,2,14,10,17,2,14,30,17,3,14,4,3,7,14,114,15,4,14,8,15,11,8,2,15,1,7,5,14,7,15,1,18,2,15,1,14,5,15,8,18,10,8,126,10,7,8,5,10,3,8,5,10,4,8,2,10,4,8,7,10,31,8,5,18,1,8,3,18,4,8,3,18,1,14,4,18,1,8,15,10,6,8,22,10,5,8,1,10,11,8,13,10,5,8,6,10,10,8,2,10,60,8,2,10,16,8,1,10,1,8,1,10,25,8,19,10,79,8,2,10,67,8,3,10,11,8,1,10,52,8,7,10,31,8,2,18,1,4,7,9,1,8,1,10,2,18,2,4,780,},
{4,674,19,4,4,4,10,1,8,3,15,3,7,2,14,4,17,2,16,2,14,4,15,7,8,3,15,1,14,1,17,1,16,5,17,3,16,2,17,1,14,1,8,1,10,1,8,2,14,4,3,2,14,2,18,3,14,2,3,1,14,3,15,2,14,4,17,4,14,2,8,2,10,5,18,1,8,1,10,2,8,1,18,4,15,5,14,3,15,1,9,1,8,1,14,1,16,9,14,14,15,1,14,1,16,14,17,1,14,2,17,1,16,10,17,1,16,8,17,1,14,4,17,1,16,9,17,1,14,1,17,1,16,4,17,1,14,1,16,4,14,1,16,7,15,1,9,1,15,1,14,1,16,4,17,1,16,6,17,1,14,4,16,13,17,1,14,2,17,1,16,6,17,1,14,1,16,2,14,4,16,1,14,2,8,1,9,1,10,2,9,2,8,1,15,3,14,6,15,1,8,1,9,2,8,2,18,6,8,1,9,1,10,2,9,2,18,1,15,5,8,8,15,1,14,1,16,8,14,3,15,1,8,2,15,1,14,5,17,1,16,12,17,1,16,17,17,1,16,4,14,2,16,12,14,5,15,3,8,2,10,2,9,1,8,1,15,2,8,2,9,1,10,2,9,1,8,1,15,1,14,3,16,7,14,10,16,5,3,1,14,5,15,1,8,2,10,2,8,1,18,2,8,2,10,3,8,7,10,2,8,2,10,8,8,1,18,2,8,1,10,4,18,2,8,1,10,5,8,3,10,4,8,1,18,1,14,4,18,1,8,1,10,4,8,1,18,1,8,1,10,3,8,1,10,8,8,1,14,4,8,1,10,3,9,1,10,1,8,1,18,1,14,1,18,7,8,1,18,1,8,1,9,1,10,2,8,1,15,1,14,1,3,2,16,13,17,2,14,3,17,2,14,8,16,2,17,1,14,5,17,1,14,10,17,2,14,9,17,1,16,1,17,2,14,30,17,1,14,5,3,8,14,113,15,4,14,9,15,10,8,2,7,6,14,6,15,1,8,3,15,2,14,4,15,7,18,10,8,125,10,1,8,1,10,7,8,4,10,6,8,3,10,4,8,2,10,4,8,4,10,37,8,15,14,2,15,1,18,1,8,15,10,6,8,15,10,2,8,1,10,1,8,3,10,4,8,1,10,13,8,12,10,6,8,5,10,24,8,1,10,46,8,4,10,8,8,3,10,6,8,1,10,25,8,19,10,148,8,2,10,12,8,1,10,53,8,6,10,31,8,2,18,1,4,7,9,1,8,1,10,2,18,2,4,780,},
{4,674,19,4,4,4,10,1,8,6,15,1,7,1,14,4,17,1,16,2,17,1,14,5,15,6,8,4,7,1,14,1,16,10,17,1,7,1,8,1,10,1,8,2,14,2,15,1,14,2,3,1,14,2,18,3,14,6,15,3,14,4,17,3,14,2,15,1,8,1,10,5,8,1,9,1,10,3,8,1,9,1,8,1,15,5,14,5,8,1,9,1,15,1,16,9,14,3,16,2,3,1,14,3,15,1,8,1,15,2,14,3,16,14,17,1,14,3,16,19,14,4,17,1,16,10,17,1,14,2,16,4,14,1,16,5,14,1,16,7,8,1,10,1,8,1,14,1,16,8,17,5,14,2,17,1,16,13,17,1,14,1,17,1,16,6,17,1,14,2,16,2,14,4,16,2,14,1,15,2,8,1,15,5,14,10,15,1,18,9,8,1,9,1,10,2,9,2,18,1,15,1,14,2,15,2,8,7,15,1,14,2,17,1,16,8,17,1,14,2,15,3,14,6,17,1,16,28,17,2,16,5,17,1,16,12,14,4,15,4,8,2,10,3,8,1,18,1,15,1,8,2,10,4,8,1,15,1,14,4,16,5,14,8,15,3,14,1,16,5,14,3,15,1,8,7,18,2,8,2,10,12,8,1,10,8,8,1,18,4,8,1,10,2,8,1,18,2,8,1,10,5,8,3,10,4,8,1,18,1,14,4,18,1,8,1,10,3,8,1,18,1,14,2,18,1,8,1,15,1,8,2,10,6,8,1,18,1,14,2,3,2,18,1,10,6,18,11,8,1,9,1,10,2,9,1,18,1,14,1,3,5,16,11,17,5,3,1,14,8,16,2,17,1,14,3,17,3,14,21,17,1,16,3,17,2,14,26,17,3,14,5,16,2,3,1,17,1,3,1,14,3,3,1,14,112,15,5,14,8,15,10,8,2,7,6,14,6,15,1,8,3,15,2,14,5,15,5,18,10,8,139,10,9,8,1,10,3,8,2,10,4,8,3,10,43,8,29,10,7,8,14,10,3,8,12,10,10,8,13,10,4,8,6,10,22,8,3,10,5,8,2,10,39,8,4,10,1,8,1,10,5,8,4,10,5,8,3,10,24,8,20,10,217,8,2,10,32,8,2,9,1,18,1,4,7,9,1,8,2,10,1,18,2,4,780,},
{4,674,19,4,4,4,10,2,8,6,7,1,14,4,17,1,16,2,17,1,14,6,15,1,14,4,15,2,8,1,15,1,7,1,14,1,17,1,16,9,17,1,7,1,8,1,10,1,8,2,7,1,14,1,18,1,15,1,14,1,3,1,14,2,18,1,8,1,18,1,14,6,15,4,14,4,17,2,14,2,15,1,8,2,10,4,8,1,10,4,8,1,10,1,9,1,18,1,15,4,14,2,16,1,3,1,14,1,8,2,15,1,16,9,14,3,16,3,3,1,14,1,15,1,8,2,15,1,14,3,17,1,16,14,17,1,14,2,17,1,16,18,17,1,14,4,16,12,14,2,17,1,16,2,14,2,16,5,14,2,16,5,14,1,15,1,9,1,8,1,14,1,16,7,17,1,14,3,17,1,16,17,14,2,16,6,17,1,14,1,15,1,14,1,16,2,14,4,16,2,14,1,15,6,14,3,3,2,14,3,15,1,14,4,15,1,18,6,8,3,9,1,10,2,9,1,8,1,18,1,15,1,14,3,15,1,8,1,9,3,8,2,15,2,14,3,16,9,17,1,14,10,17,1,16,47,14,4,15,6,8,1,10,2,9,1,8,1,15,2,8,2,10,4,9,1,15,1,14,4,17,1,16,4,14,8,15,2,8,1,14,2,16,5,14,2,8,5,18,1,8,2,18,3,8,2,10,10,8,2,10,7,8,1,18,4,8,2,10,3,8,2,10,6,8,2,10,5,8,1,18,2,14,2,15,1,8,1,10,3,8,1,18,1,14,4,15,1,14,2,18,1,8,1,10,5,8,1,18,1,14,2,3,2,14,1,8,1,10,5,8,1,18,10,8,1,9,1,10,2,9,1,8,1,14,2,3,4,16,8,17,3,16,2,17,2,16,2,14,2,17,1,14,4,17,1,16,2,17,1,14,3,17,3,14,20,17,2,16,3,17,1,14,26,17,1,16,3,17,2,14,2,17,1,16,2,3,3,14,116,15,5,14,9,15,9,8,2,7,7,14,4,15,2,8,3,15,2,14,7,15,4,18,1,8,1,18,7,8,62,10,2,8,75,10,13,8,1,10,5,8,3,10,45,8,4,10,3,8,7,15,1,14,2,15,1,18,1,8,7,10,9,8,13,10,2,8,13,10,10,8,15,10,28,8,5,10,4,8,4,10,38,8,4,10,1,8,1,10,4,8,1,10,8,8,5,10,12,8,2,10,1,8,28,10,3,8,1,10,246,8,4,18,1,4,8,18,1,8,1,10,2,18,1,4,3,19,3,4,774,},
{4,674,19,5,4,3,10,5,8,3,7,1,14,4,17,1,16,1,17,1,14,14,15,2,7,1,14,1,17,1,16,9,17,1,14,1,8,4,7,1,15,1,8,1,15,1,14,1,3,2,14,1,15,1,18,2,15,1,14,5,15,4,14,3,17,3,14,2,15,2,8,1,10,8,9,1,8,1,10,1,9,1,8,1,18,1,15,3,14,2,3,1,16,1,14,1,8,2,14,1,16,8,14,1,15,2,14,1,16,4,14,1,15,1,8,1,15,1,14,2,16,18,17,2,16,20,17,1,14,2,17,1,16,12,14,2,17,1,16,2,14,2,16,5,14,3,16,4,14,1,15,1,9,1,15,1,16,8,14,3,17,2,16,7,17,1,16,9,17,2,16,6,14,1,15,3,14,1,16,1,14,4,16,2,14,8,16,4,14,2,15,2,14,5,18,4,8,6,9,2,8,1,18,1,15,2,14,4,15,1,8,1,9,1,10,1,8,1,15,1,14,5,16,11,14,9,17,1,16,47,14,3,15,7,8,4,15,1,14,1,15,1,8,2,10,4,9,1,8,1,15,1,14,5,16,2,14,9,15,1,8,3,14,2,16,4,14,1,15,1,8,1,10,2,8,2,15,1,18,5,8,3,10,8,8,3,10,6,8,1,18,1,14,1,18,2,8,2,10,4,8,2,10,5,8,2,10,3,8,2,10,1,8,2,18,3,8,1,10,4,18,1,14,9,18,1,8,1,10,4,8,1,18,1,14,2,3,3,18,1,8,1,9,1,10,4,8,2,18,2,14,2,15,1,18,4,8,2,10,2,8,1,18,1,14,3,3,2,16,3,14,2,17,1,16,1,17,1,14,1,17,3,16,1,17,1,16,3,17,4,14,3,17,1,16,2,17,1,14,2,17,4,14,5,17,3,14,12,17,1,16,4,17,1,14,5,17,2,14,18,17,1,16,5,17,4,3,3,14,68,17,2,14,55,15,2,14,5,15,10,8,6,7,1,15,2,14,2,15,7,14,10,15,2,18,9,8,61,10,5,8,73,10,19,8,2,10,48,8,2,10,4,8,1,10,3,8,2,14,4,18,1,8,8,10,9,8,11,10,2,8,14,10,8,8,19,10,25,8,4,10,5,8,6,10,36,8,5,10,4,8,3,10,8,8,5,10,11,8,32,10,2,8,3,10,244,8,5,18,1,4,9,9,1,8,1,10,1,4,2,19,5,4,774,},
{4,674,19,6,4,2,10,5,8,3,7,2,14,3,17,1,16,1,17,1,14,18,6,1,16,6,17,1,16,2,17,1,14,1,7,1,8,1,15,1,7,1,8,3,15,1,14,1,3,2,14,2,18,2,14,8,15,1,14,4,17,2,14,4,15,1,8,1,10,8,8,2,10,2,9,1,8,3,15,2,14,4,8,2,14,1,16,8,14,1,15,1,8,1,14,2,16,2,14,6,16,4,14,1,16,5,14,2,16,30,17,2,16,13,14,2,16,3,14,2,16,5,14,1,15,2,14,1,16,3,14,1,15,1,8,1,14,1,16,7,14,2,17,2,16,8,17,1,14,2,16,7,17,2,16,6,17,1,14,1,15,1,8,1,15,1,14,1,16,1,17,1,14,2,17,1,16,2,14,7,16,5,14,2,15,2,14,4,15,4,18,2,8,2,18,6,15,2,14,5,15,1,8,1,9,2,8,1,15,1,14,4,17,1,16,11,17,2,14,3,17,4,16,48,14,3,15,2,8,3,15,1,8,4,18,1,14,3,18,1,8,1,9,1,10,3,9,1,15,3,14,15,15,1,8,4,14,2,16,2,3,1,14,1,15,1,8,1,10,3,8,2,18,3,8,5,10,8,8,3,10,5,8,1,18,4,8,1,10,6,8,1,10,11,8,2,10,2,8,2,18,1,8,1,10,4,8,1,15,1,14,9,15,1,8,4,10,1,8,1,18,1,14,3,3,2,14,1,18,1,8,1,10,4,9,1,18,1,14,4,15,2,18,4,8,2,10,2,8,1,15,1,14,4,3,1,16,2,14,2,17,3,14,1,17,6,16,2,17,2,16,2,17,1,14,1,17,1,16,3,17,1,14,2,17,1,16,2,17,1,14,4,17,4,14,12,17,1,16,3,17,4,14,2,17,4,14,17,17,1,16,6,17,4,3,1,14,27,15,3,14,38,17,5,14,53,15,3,14,4,15,9,7,1,8,6,7,4,15,7,14,11,15,2,18,9,8,62,10,4,8,76,10,7,8,2,10,33,8,8,10,16,8,7,10,3,8,2,14,4,15,1,8,8,10,9,8,11,10,2,8,14,10,8,8,19,10,26,8,1,10,6,8,8,10,34,8,5,10,4,8,5,10,5,8,7,10,10,8,33,10,2,8,2,10,246,8,4,18,1,4,9,9,1,8,1,10,1,4,2,19,5,4,774,},
{4,675,19,5,4,2,10,5,8,4,7,2,14,3,16,2,17,1,14,10,16,3,17,1,14,3,6,1,17,1,16,4,17,2,16,2,17,1,14,4,7,1,8,3,15,1,14,2,3,2,14,1,18,1,15,1,14,12,17,3,14,4,15,1,8,2,10,6,8,4,9,4,8,2,15,2,14,2,15,1,9,1,8,1,14,1,16,8,17,1,14,1,15,1,14,2,16,2,14,3,16,5,17,1,14,2,16,4,14,1,15,2,17,1,16,43,14,2,16,4,17,1,16,5,14,2,15,2,14,2,16,2,14,1,15,2,14,1,16,7,14,2,16,8,17,1,14,4,17,1,16,15,14,1,15,1,8,1,15,1,14,1,17,1,16,2,17,2,16,1,17,1,14,2,17,1,16,1,14,3,16,5,14,6,15,3,14,3,15,2,18,2,15,2,14,11,15,3,8,1,15,2,14,4,3,1,16,13,17,3,16,3,17,3,16,46,3,1,14,2,15,2,8,7,18,1,14,1,3,2,14,2,18,1,8,2,9,2,8,1,15,1,14,1,15,2,14,13,15,1,8,2,9,1,8,1,9,1,8,1,15,1,14,4,15,1,8,3,10,1,8,5,10,1,8,4,10,8,8,4,10,4,18,1,15,1,18,2,8,1,9,2,10,21,8,2,18,1,8,1,10,4,8,1,14,4,15,1,14,6,15,1,8,4,18,1,15,1,14,2,3,4,18,1,9,1,10,1,8,1,9,1,10,2,18,1,14,5,15,4,14,1,15,1,8,1,10,3,8,1,15,1,14,4,16,1,3,1,14,2,17,3,14,2,17,4,14,1,17,2,14,2,17,2,14,2,17,1,16,4,17,3,16,2,17,1,14,2,17,6,14,3,17,2,14,5,17,2,16,6,17,8,14,17,17,1,16,5,17,3,14,1,3,1,14,27,15,4,14,96,15,3,14,4,7,1,15,8,7,2,8,5,7,7,15,1,14,8,15,1,14,6,15,1,18,9,8,65,10,2,8,59,10,5,8,15,10,3,8,2,10,31,8,11,10,16,8,6,10,3,8,2,15,1,14,3,15,1,8,8,10,8,8,11,10,3,8,14,10,7,8,20,10,33,8,8,10,34,8,5,10,4,8,5,10,4,8,8,10,8,8,39,10,249,8,1,18,1,4,9,9,1,8,1,4,3,19,5,4,774,},
{4,675,19,5,4,3,10,4,8,5,15,2,14,2,16,3,14,10,17,1,16,3,6,1,14,2,6,1,17,1,16,4,17,2,16,3,17,2,14,2,7,1,8,3,15,1,14,2,3,2,14,1,18,2,14,3,15,1,14,6,17,1,16,3,17,2,14,3,15,2,8,1,10,5,9,1,18,4,8,1,9,1,10,1,9,1,8,3,15,2,14,1,15,1,10,1,9,1,17,1,16,10,14,2,16,3,14,1,15,1,14,1,16,4,14,4,16,4,14,1,8,2,14,1,16,40,17,1,14,4,16,10,14,1,15,1,14,4,16,2,14,1,15,2,14,1,16,7,17,2,16,7,14,2,15,2,14,2,17,1,16,15,17,1,14,1,15,1,14,2,17,1,16,3,17,1,14,4,16,5,14,1,16,6,14,3,15,1,8,2,15,1,14,5,15,2,14,2,3,2,14,12,15,2,14,5,3,1,16,16,17,4,14,3,17,1,16,39,17,2,16,4,14,2,15,2,8,1,9,1,8,3,10,1,8,1,18,1,14,1,3,3,14,2,15,1,18,1,8,2,15,1,14,3,15,2,14,12,15,1,8,1,9,1,8,2,9,1,8,2,14,5,15,1,8,7,10,5,8,1,10,5,8,1,10,3,8,4,10,2,8,1,14,2,8,1,10,1,9,1,8,1,18,1,8,1,10,20,8,1,18,2,8,1,10,3,8,1,18,1,14,11,15,2,8,2,18,1,14,3,3,5,18,1,10,2,8,2,10,2,8,1,14,5,18,3,14,3,18,1,10,4,8,1,15,1,14,3,16,1,17,1,14,2,17,1,16,1,17,1,14,2,17,3,14,10,17,1,16,9,17,1,14,2,17,2,16,2,17,2,14,3,17,2,14,4,17,2,16,8,17,7,14,18,17,1,16,3,17,1,14,32,15,3,14,97,15,3,14,4,15,9,7,2,8,5,7,6,15,1,14,7,15,5,14,4,15,1,18,9,8,125,10,8,8,14,10,1,8,3,10,5,8,1,10,6,8,3,10,7,8,1,10,8,8,2,10,2,8,8,10,16,8,5,10,3,8,3,15,3,18,1,8,10,10,6,8,10,10,4,8,7,10,2,8,5,10,7,8,20,10,33,8,8,10,34,8,3,18,1,8,1,10,4,8,5,10,3,8,4,10,2,8,3,10,8,8,3,10,2,8,34,10,218,8,1,10,25,8,1,10,4,9,1,18,1,4,9,8,2,4,3,19,5,4,774,},
{4,675,19,4,4,5,8,2,10,1,8,6,7,1,14,2,16,3,17,1,14,9,17,1,16,3,17,1,14,2,6,1,17,1,16,4,17,3,16,4,17,1,14,2,7,1,8,2,15,1,14,2,3,2,14,13,16,4,17,1,14,4,15,1,8,2,10,5,9,1,8,2,18,3,8,4,9,1,8,1,15,3,8,1,10,1,8,1,16,15,14,1,15,2,16,5,14,4,16,4,14,1,8,1,15,1,14,1,16,11,17,2,16,27,17,1,14,3,16,11,14,6,16,1,3,1,15,1,8,1,15,1,14,1,16,16,14,1,15,4,14,2,16,16,14,4,17,1,16,4,14,3,16,14,14,2,15,1,8,2,14,1,3,2,14,6,3,4,14,15,3,1,16,1,14,1,16,17,17,5,14,3,6,1,16,38,14,1,17,1,16,5,14,2,15,2,9,3,8,1,10,1,8,1,15,1,14,1,3,3,14,3,15,3,14,18,15,1,8,4,10,2,8,1,15,1,14,3,15,1,18,1,8,7,10,15,8,2,18,1,8,3,18,1,15,1,18,1,8,1,10,1,8,2,15,1,18,1,10,14,8,2,10,4,8,1,18,3,8,1,10,2,8,1,18,1,15,1,18,2,15,7,14,2,15,4,14,1,3,4,14,3,15,1,10,2,8,2,10,2,8,1,18,2,14,4,18,1,15,1,14,3,18,1,10,5,8,1,15,1,14,2,3,1,14,4,17,1,14,17,17,1,16,8,17,2,14,1,17,1,16,3,17,1,14,8,17,3,16,11,17,5,14,8,17,1,14,9,17,3,14,132,15,4,14,7,15,8,7,1,8,5,7,4,15,3,14,6,15,4,18,1,15,2,14,2,15,2,18,9,8,51,18,1,8,73,10,11,8,15,10,4,8,3,10,5,8,3,10,16,8,1,10,4,8,7,10,7,8,1,10,8,8,26,10,4,8,9,10,6,8,7,10,2,8,5,10,5,8,22,10,33,8,8,10,34,8,2,18,2,8,2,10,2,8,6,10,3,8,5,10,1,8,2,10,9,8,38,10,139,8,1,10,78,8,2,10,25,8,4,10,2,4,10,8,2,4,1,19,7,4,774,},
{4,684,18,2,8,1,10,2,8,2,7,1,8,1,7,2,14,1,17,1,16,1,17,3,14,10,17,2,14,3,6,1,17,1,16,5,17,3,16,3,17,3,14,1,7,3,14,1,3,1,16,2,3,1,14,11,17,5,14,5,15,1,10,9,8,2,18,5,8,1,9,1,8,1,18,1,14,1,15,1,8,1,9,1,14,1,16,15,14,1,15,1,14,1,16,5,14,4,16,4,14,4,16,10,17,1,14,1,16,28,17,1,14,2,16,5,14,3,16,5,3,1,14,1,3,2,16,2,14,1,8,1,9,1,8,1,14,1,3,1,16,6,17,1,16,8,17,1,14,1,7,3,14,1,6,1,16,16,14,3,17,1,16,6,17,1,6,1,16,15,14,2,15,2,14,1,3,1,14,7,16,3,14,14,3,1,16,13,17,1,16,7,17,2,16,3,17,1,14,2,6,1,16,19,17,1,16,17,17,1,14,1,16,7,14,2,15,1,8,1,9,1,10,1,9,2,8,1,15,1,14,28,15,2,8,2,10,3,8,1,18,2,14,2,18,1,8,8,10,7,8,1,18,2,10,4,8,1,18,2,8,3,18,2,8,6,18,1,8,1,10,5,8,4,9,1,10,2,8,2,18,1,8,1,10,3,8,3,18,3,8,1,10,2,8,1,18,1,8,8,15,2,14,2,15,3,14,1,16,2,3,1,14,4,15,1,9,1,10,1,8,2,10,3,18,3,14,7,18,1,8,1,10,6,8,2,14,2,3,1,14,4,3,1,14,12,15,2,14,4,17,1,16,4,17,2,16,2,17,2,16,3,17,1,14,8,17,2,16,12,17,6,14,4,17,1,14,3,17,2,14,7,17,3,14,118,15,2,14,12,15,2,14,10,15,22,14,4,15,10,18,7,8,131,10,7,8,25,10,27,8,8,10,2,8,2,10,1,8,1,10,10,8,25,10,4,8,2,10,13,8,6,10,2,8,6,10,4,8,18,10,2,8,4,10,1,8,5,10,10,8,1,10,2,8,4,10,9,8,8,10,25,8,3,10,6,8,1,18,1,14,2,18,1,8,1,10,1,8,7,10,3,8,7,10,10,8,28,10,1,8,7,10,221,8,1,10,27,8,3,10,1,4,10,8,1,9,1,4,1,19,7,4,774,},
{4,684,18,1,3,1,18,1,8,1,10,1,8,4,7,2,6,1,17,1,16,1,17,5,14,13,6,1,17,1,16,5,17,2,16,4,17,1,16,1,17,2,14,4,17,1,16,3,14,12,17,3,14,6,15,1,10,10,8,3,18,3,8,1,9,1,8,1,15,1,14,1,18,1,8,2,14,1,16,15,14,3,16,5,17,2,14,3,16,3,14,4,16,8,14,5,16,28,17,1,16,6,14,3,16,6,3,2,16,1,3,2,14,1,9,2,15,1,14,1,3,1,16,16,14,1,7,4,6,1,16,16,17,1,14,2,17,1,16,24,14,8,3,1,14,1,16,5,14,14,16,13,17,2,16,7,17,1,16,5,17,1,14,2,17,2,16,16,17,1,6,2,16,16,17,1,14,1,17,1,16,7,14,2,8,1,9,2,8,2,15,1,14,31,18,1,8,1,10,4,8,1,18,3,8,2,10,2,8,2,18,1,8,2,10,7,8,1,18,2,10,4,18,3,8,3,18,2,8,3,18,1,8,3,10,6,8,2,18,2,8,1,9,2,8,1,18,1,8,2,10,2,8,2,10,1,9,1,8,1,18,2,8,1,10,3,8,1,9,2,10,2,9,1,8,3,15,2,14,2,15,3,14,1,16,2,17,1,14,5,8,1,10,1,8,2,10,4,18,2,14,1,3,3,14,2,18,1,8,2,10,8,18,2,3,3,14,2,3,3,14,10,15,2,14,5,17,2,16,2,17,1,16,3,17,2,16,2,17,1,14,9,17,3,16,2,17,15,6,2,17,3,6,1,14,2,6,1,17,1,14,7,17,2,14,107,15,1,14,10,15,3,14,3,15,5,14,4,15,2,14,12,15,6,14,3,15,11,14,4,15,10,18,7,8,129,10,9,8,25,10,6,8,2,10,19,8,13,10,13,8,12,10,2,8,8,10,4,8,2,10,13,8,7,10,2,8,27,10,3,8,10,10,8,8,10,10,8,8,8,10,24,8,4,10,6,8,1,18,1,14,2,18,1,8,7,10,5,8,2,10,1,8,4,10,4,8,2,10,4,8,36,10,111,8,2,10,137,8,2,18,3,10,4,18,3,10,1,8,1,4,2,19,6,4,775,},
{4,680,19,3,4,1,18,1,3,2,18,1,8,5,7,2,6,1,17,1,16,1,17,5,14,6,17,2,14,5,6,1,17,1,16,11,17,2,6,1,14,2,6,1,17,1,14,2,17,1,16,2,17,1,14,11,17,7,14,2,15,1,8,1,10,8,9,1,8,3,18,3,8,1,9,1,8,1,18,1,14,1,18,1,8,1,18,1,14,1,16,7,17,1,16,8,14,1,17,1,16,7,17,1,14,2,16,3,17,1,14,3,16,7,17,1,14,3,15,1,14,1,16,34,14,3,16,9,3,2,14,2,8,2,15,1,14,1,3,1,16,16,14,1,7,3,14,1,6,1,17,1,16,16,14,3,17,2,16,18,17,1,14,10,16,8,14,7,3,1,16,1,3,1,14,4,16,5,17,1,14,1,17,1,16,20,17,1,14,1,17,2,14,1,17,1,16,16,6,1,17,1,16,17,17,1,14,4,16,3,14,3,15,1,8,2,15,2,14,4,16,1,14,22,3,1,14,4,15,1,8,1,10,5,8,5,10,2,8,4,10,9,8,2,10,4,18,3,8,12,10,4,9,1,10,1,9,1,8,1,18,3,8,4,9,2,8,4,10,2,8,1,18,2,8,1,10,8,9,2,8,2,15,2,14,2,15,3,14,2,17,1,14,4,17,1,14,1,15,1,9,1,10,6,18,2,14,2,3,1,14,2,18,2,8,1,10,9,8,1,18,1,14,1,3,2,14,4,3,2,14,4,17,2,14,13,17,1,16,4,14,13,17,5,14,9,17,8,6,4,14,120,15,3,14,14,15,2,8,4,15,2,14,16,15,2,14,2,15,3,14,1,15,13,14,2,15,12,18,4,8,27,18,1,8,102,10,7,8,29,10,5,8,2,10,18,8,14,10,13,8,22,10,5,8,1,10,11,8,9,10,2,8,5,10,4,8,18,10,3,8,10,10,8,8,4,10,2,8,4,10,11,8,6,10,23,8,4,10,6,8,1,18,1,14,2,18,1,8,7,10,4,8,8,10,4,8,1,10,5,8,36,10,111,8,3,10,136,8,2,18,3,10,3,8,1,9,1,8,1,9,1,8,2,10,1,4,1,19,5,4,776,},
{4,680,19,3,4,2,3,2,14,1,8,5,7,2,17,2,16,1,17,5,14,5,17,1,16,1,17,2,14,4,6,1,17,1,16,5,17,2,16,5,17,1,14,2,17,2,16,1,17,1,16,5,17,1,14,11,17,2,16,3,17,1,14,2,15,1,8,1,10,8,8,10,15,1,14,1,18,1,8,1,18,1,14,1,16,6,17,1,14,1,17,1,16,17,14,2,16,4,14,3,16,8,14,3,15,1,14,1,16,34,14,2,16,10,3,1,14,2,15,3,14,2,3,1,16,16,14,4,6,2,17,1,16,16,17,3,16,1,17,1,16,16,17,2,14,10,3,1,16,8,14,6,3,1,16,3,3,1,14,4,16,4,14,2,17,1,16,20,17,4,14,2,17,1,16,35,14,3,17,1,16,3,14,4,15,2,14,5,16,3,14,21,3,5,14,1,8,1,10,5,8,10,10,15,8,2,18,1,8,10,18,1,8,1,10,4,8,1,9,1,10,2,8,1,18,3,8,1,9,1,8,1,9,1,10,2,18,2,8,1,9,1,10,2,8,2,18,1,8,1,10,9,8,2,15,2,14,4,15,1,14,8,17,1,14,2,8,1,10,2,8,2,10,2,8,1,18,1,14,5,18,2,9,1,10,9,8,1,18,1,14,2,3,1,14,4,3,6,16,2,17,1,14,13,17,1,16,2,17,1,14,5,15,2,14,5,17,3,14,12,17,3,16,2,17,5,6,1,14,138,15,1,8,6,15,1,14,20,15,24,18,2,15,5,18,4,8,27,18,1,8,101,10,8,8,17,10,3,8,9,10,4,8,3,10,15,8,1,10,3,8,13,10,15,8,19,10,6,8,1,10,6,8,1,10,1,8,10,10,5,8,3,10,5,8,18,10,3,8,11,10,7,8,3,10,3,8,5,10,10,8,7,10,21,8,5,10,3,8,5,18,5,8,4,10,5,8,8,10,10,8,1,10,1,8,33,10,112,8,4,10,137,18,3,10,3,8,6,10,1,4,1,19,5,4,776,},
{4,680,19,4,4,1,18,1,3,2,18,1,8,4,7,2,17,2,16,1,17,2,16,2,17,1,14,4,17,2,16,1,17,2,14,4,17,2,16,4,17,1,6,2,17,1,16,4,17,1,6,1,14,1,17,1,16,8,17,1,14,12,17,1,16,3,17,1,14,2,15,1,8,1,10,7,9,1,8,10,18,2,8,2,18,1,14,1,16,6,17,1,14,2,17,1,16,7,17,2,16,7,14,2,16,4,14,1,15,1,14,1,16,8,17,2,14,1,15,1,14,1,16,46,14,1,15,3,14,4,16,17,14,3,17,1,16,39,17,3,14,11,16,8,14,4,16,8,14,4,17,2,14,3,17,1,16,21,17,2,14,4,16,42,17,1,14,9,16,4,17,1,14,22,3,1,14,3,18,1,8,2,10,3,8,10,10,14,8,14,18,2,10,3,8,1,9,1,10,3,8,1,18,3,8,1,10,5,18,2,8,1,10,3,8,2,18,1,8,1,10,9,8,2,15,1,14,17,8,1,10,2,8,2,10,3,18,2,14,4,18,2,10,10,8,1,18,1,14,2,3,1,14,4,3,5,16,2,17,3,14,5,17,1,14,19,3,1,14,2,17,2,14,10,17,6,16,3,17,5,14,10,17,2,14,4,17,2,14,121,15,1,8,4,15,2,14,20,15,4,14,1,15,6,14,1,15,12,18,2,15,2,18,7,8,27,18,2,8,100,10,7,8,18,10,3,8,9,10,3,8,4,10,23,8,9,10,16,8,14,10,2,8,2,10,8,8,2,10,1,8,14,10,5,8,4,10,4,8,19,10,2,8,12,10,4,8,5,10,4,8,5,10,8,8,8,10,21,8,2,10,5,8,7,18,4,8,3,10,6,8,6,10,10,8,2,10,2,8,10,18,1,8,17,10,2,8,3,10,112,8,3,10,21,8,3,10,114,8,3,10,5,8,4,10,1,4,1,19,6,4,775,},
{4,680,19,4,4,2,18,1,3,1,18,1,8,5,14,1,17,5,16,2,14,5,17,4,14,4,6,1,17,2,16,3,17,1,6,1,14,2,17,1,16,5,17,3,16,8,17,1,14,8,17,1,14,3,17,1,16,3,14,2,15,1,8,2,10,5,8,3,18,1,8,9,18,2,8,3,14,1,16,6,17,1,14,3,17,1,16,6,14,2,16,7,14,1,16,4,14,1,15,1,8,1,14,1,16,10,14,3,16,45,14,1,15,1,8,2,15,1,14,4,3,1,16,16,17,3,16,19,3,1,16,22,17,2,14,2,17,1,14,7,16,2,14,4,17,1,16,1,14,3,16,10,14,6,17,3,16,23,14,2,15,1,14,2,16,29,17,2,16,11,14,8,16,6,14,2,17,1,16,1,17,2,14,20,15,1,18,1,8,7,18,3,8,3,10,15,18,2,8,6,10,1,8,1,18,2,8,2,15,1,18,1,10,8,8,4,10,5,9,1,8,2,9,1,10,3,8,3,9,1,10,7,8,3,15,1,14,18,15,1,10,2,18,1,8,1,10,3,8,1,18,1,14,4,18,2,8,1,10,9,8,1,18,1,14,2,3,1,14,3,3,5,16,2,17,1,14,5,17,6,14,5,15,1,14,10,17,1,16,1,17,4,14,7,17,3,16,4,17,1,16,5,17,4,14,2,7,2,14,2,7,1,14,4,17,1,14,4,17,3,14,28,7,2,14,85,15,1,14,5,15,5,14,22,15,10,14,2,15,11,18,2,15,2,18,7,8,27,18,1,8,82,10,2,8,17,10,7,8,18,10,3,8,8,10,4,8,5,10,13,8,2,10,9,8,7,10,16,8,4,10,3,8,7,10,2,8,2,10,6,8,17,10,1,8,1,10,5,8,4,10,3,8,9,10,2,8,22,10,1,8,2,10,4,8,4,10,4,8,4,10,8,8,8,10,21,8,2,10,5,8,5,10,1,8,3,18,2,8,3,10,5,8,5,10,12,8,2,10,3,8,26,10,140,8,5,10,28,8,1,10,98,4,2,19,6,4,774,},
{4,680,19,5,4,2,18,2,8,5,14,1,17,3,14,1,17,1,16,2,14,5,17,2,14,5,17,7,6,1,14,3,17,2,16,4,17,3,16,8,17,1,14,6,17,7,16,2,17,1,14,1,15,1,8,2,10,6,8,2,18,3,8,1,9,3,8,4,18,2,8,3,14,1,16,6,17,1,14,4,16,6,14,2,16,11,17,1,14,1,8,2,15,1,16,10,17,1,14,2,16,44,3,1,14,1,15,1,8,1,9,1,15,1,14,4,3,1,16,1,3,1,16,35,17,1,14,1,16,24,17,3,14,5,3,1,14,12,17,1,16,3,14,2,16,4,14,5,16,2,17,1,16,24,17,1,14,1,15,1,14,3,16,27,6,2,17,1,16,11,14,8,16,11,17,1,14,4,17,2,14,15,18,3,8,4,18,5,8,2,10,14,8,1,18,2,8,1,10,5,8,2,18,2,8,2,18,2,10,8,8,3,9,1,10,3,9,1,8,3,10,5,8,3,10,8,8,3,15,1,14,6,3,3,14,2,17,1,14,7,8,1,10,1,18,1,8,1,10,3,8,1,18,1,14,3,3,1,14,2,18,1,10,9,8,1,18,1,14,2,3,2,14,2,3,5,16,2,14,6,17,2,16,3,17,2,14,3,15,1,8,1,15,1,14,8,17,1,16,3,17,2,14,7,17,2,16,7,17,1,16,4,17,3,14,2,7,3,14,2,7,2,14,7,17,5,14,27,7,2,14,84,15,3,14,12,15,1,14,22,15,5,14,4,15,10,18,2,15,2,18,7,8,94,10,1,8,15,10,2,8,19,10,4,8,21,10,2,8,7,10,4,8,5,10,12,8,3,10,11,8,5,10,16,8,3,10,4,8,7,10,2,8,2,10,4,8,19,10,7,8,4,10,3,8,9,10,3,8,19,10,2,8,6,10,1,8,4,10,4,8,4,10,6,8,10,10,21,8,1,10,8,8,3,10,3,8,6,10,4,8,4,10,14,8,2,10,3,8,25,10,141,8,4,10,108,8,3,10,5,8,1,10,4,8,1,10,6,4,3,19,5,4,774,},
{4,681,19,5,4,2,18,2,8,4,7,1,14,5,17,1,16,1,14,3,17,3,14,5,17,1,16,4,17,2,14,3,6,1,17,1,16,6,17,3,16,8,17,1,14,5,17,1,16,4,17,2,16,3,17,1,14,1,15,1,8,2,10,6,8,1,18,1,15,1,18,1,8,2,10,2,9,1,8,3,18,3,8,3,14,1,16,7,14,4,16,5,14,3,16,11,14,1,8,1,10,1,8,1,15,1,16,10,17,1,14,3,16,18,14,3,16,22,14,1,8,4,15,1,14,4,16,2,14,2,16,34,14,6,17,1,16,20,17,2,14,4,16,4,14,11,16,2,14,5,17,1,14,6,16,28,14,6,16,25,17,1,6,2,16,11,17,1,14,8,16,12,17,2,14,1,17,1,16,2,17,1,14,15,18,3,8,4,18,3,8,2,10,15,8,1,18,1,8,2,10,5,8,1,18,3,8,2,18,1,8,1,10,8,9,1,8,2,10,4,8,1,18,1,8,1,9,1,10,4,8,3,10,8,8,3,15,1,14,7,3,2,16,1,3,2,16,1,17,1,14,6,15,1,8,3,10,4,18,1,3,1,14,2,3,2,14,1,18,1,8,1,10,8,8,1,18,1,14,5,3,7,16,1,14,5,17,2,16,8,14,2,15,1,14,9,17,1,16,3,17,1,14,8,17,2,16,5,17,8,14,3,7,9,14,9,17,2,14,27,7,3,14,84,15,1,14,32,15,1,14,3,15,5,14,5,15,10,18,1,15,2,18,7,8,93,10,2,8,6,10,4,8,18,10,2,8,13,10,2,8,16,10,4,8,3,10,7,8,4,10,1,8,2,10,9,8,3,10,12,8,3,10,17,8,3,10,4,8,7,10,3,8,1,10,3,8,18,10,1,8,1,10,7,8,4,10,3,8,9,10,4,8,18,10,1,8,7,10,1,8,4,10,5,8,3,10,6,8,10,10,30,8,3,10,4,8,5,10,3,8,5,10,14,8,2,10,3,8,17,10,2,8,3,10,144,8,4,10,109,8,3,10,4,8,1,10,2,8,1,18,4,8,3,18,1,4,4,19,4,4,774,},
{4,682,19,5,4,1,18,1,15,1,8,4,14,6,17,1,16,1,14,3,17,4,14,4,17,1,16,5,17,1,14,2,6,1,16,7,17,1,14,1,17,2,16,4,17,1,14,1,17,1,16,2,17,1,14,4,17,1,16,10,14,1,15,1,8,2,10,6,8,1,18,3,8,1,9,1,10,2,9,1,8,1,18,3,15,2,18,2,15,1,14,1,16,6,17,1,14,1,17,2,16,6,14,3,16,10,14,1,15,1,9,2,8,1,14,1,16,6,14,1,3,1,16,2,17,1,14,4,16,16,14,5,16,20,14,1,15,1,8,1,15,4,14,4,16,1,17,1,14,2,16,34,14,1,15,1,14,5,17,1,16,2,17,1,16,16,17,3,14,4,16,4,17,1,14,19,17,1,16,32,14,5,16,24,17,1,6,2,17,1,16,11,14,9,16,13,17,2,16,3,17,1,14,16,18,2,8,8,10,18,8,1,10,6,8,1,18,2,8,4,10,9,8,3,10,4,8,1,18,2,8,1,10,2,8,3,10,10,8,3,15,1,14,7,3,2,16,1,3,1,17,1,16,2,14,7,8,2,10,5,18,1,3,1,14,1,3,4,18,2,10,8,8,1,18,1,14,5,3,8,17,6,16,9,17,1,14,12,17,1,16,2,14,11,17,3,14,5,17,2,14,6,7,2,8,1,7,4,8,1,7,2,14,37,7,6,14,90,15,2,14,21,15,1,14,4,15,4,14,8,15,8,18,1,15,2,18,2,8,1,18,6,8,91,10,2,8,5,10,7,8,15,10,8,8,4,10,7,8,15,10,14,8,9,10,7,8,3,10,32,8,3,10,4,8,8,10,6,8,23,10,4,8,16,10,4,8,17,10,4,8,4,10,2,8,4,10,5,8,3,10,6,8,10,10,26,8,1,10,3,8,3,10,4,8,5,10,1,8,6,10,15,8,2,10,3,8,3,10,1,8,8,10,1,8,3,10,264,8,2,10,7,8,1,18,4,8,3,18,2,4,3,19,5,4,773,},
{4,682,19,5,4,1,18,1,14,1,18,1,8,3,14,12,17,4,14,3,17,1,16,5,17,1,14,2,16,8,17,1,14,1,17,1,16,3,17,1,14,4,17,1,16,2,14,4,17,1,16,1,17,1,16,8,14,1,15,1,8,4,10,4,8,1,18,3,8,1,9,1,10,1,9,1,8,1,18,2,14,4,18,1,15,1,14,1,3,1,16,6,17,1,14,1,17,1,16,7,14,3,16,9,14,1,15,1,8,1,9,1,8,1,15,1,14,1,16,6,14,3,17,1,14,5,17,1,16,7,14,2,16,5,17,1,14,6,17,1,16,18,14,1,9,1,8,1,15,1,14,6,16,2,17,1,14,2,17,1,16,32,14,1,15,4,8,1,15,1,14,2,17,2,14,1,17,1,16,15,17,1,16,3,17,1,14,2,16,5,14,2,15,3,14,14,16,4,17,2,16,29,14,4,16,21,17,4,16,12,14,6,17,2,14,1,17,1,16,19,17,1,14,15,18,2,8,2,10,3,8,1,10,27,8,1,18,1,8,3,10,12,8,4,10,3,8,8,10,10,8,3,15,2,14,2,18,3,14,2,3,3,17,1,16,2,14,4,17,1,3,1,14,1,15,1,8,1,10,5,18,1,14,6,18,2,10,8,8,1,18,1,14,5,3,8,16,3,17,2,16,12,17,2,14,18,7,2,14,7,7,1,14,10,7,2,8,3,7,3,8,2,7,2,14,22,7,3,14,13,7,5,14,87,15,4,14,21,15,1,14,4,15,4,14,10,15,9,18,2,8,1,18,6,8,68,10,7,8,17,10,1,8,5,10,8,8,14,10,20,8,15,10,5,8,3,10,6,8,8,10,7,8,3,10,36,8,12,10,5,8,7,10,3,8,33,10,3,8,17,10,5,8,4,10,3,8,3,10,5,8,4,10,7,8,7,10,32,8,2,10,5,8,2,10,3,8,7,10,14,8,3,10,3,8,1,10,2,8,7,10,3,8,2,10,272,8,2,18,4,8,3,18,3,4,2,19,6,4,772,},
{4,682,19,5,4,1,18,1,3,1,18,1,8,3,15,1,14,12,16,3,17,5,16,5,17,2,16,8,17,2,16,4,14,6,17,2,14,5,17,3,16,7,14,2,15,1,8,3,10,4,8,1,18,3,8,4,18,2,14,1,3,4,15,2,14,1,16,7,17,2,16,7,14,4,16,9,14,1,15,1,9,2,8,1,14,2,16,6,14,8,17,1,16,8,17,1,14,1,17,1,16,1,17,1,14,1,17,1,14,4,15,2,14,4,16,15,14,1,8,1,9,1,8,1,14,7,16,2,17,1,14,2,17,1,16,31,17,1,14,1,8,5,15,1,14,6,17,1,16,14,17,1,16,5,14,1,16,3,17,1,14,4,15,1,14,8,17,2,14,4,17,1,16,4,17,1,16,30,14,2,15,2,14,1,16,19,17,3,16,13,17,1,14,5,17,1,16,24,17,1,14,8,15,2,14,5,18,1,8,2,10,31,18,2,8,4,10,12,8,4,10,4,8,5,10,5,8,3,10,3,8,2,18,1,15,3,18,1,8,3,18,1,14,2,3,1,14,1,3,1,16,2,17,1,14,3,16,2,3,1,15,1,10,6,8,1,18,1,15,3,18,3,8,1,10,8,8,2,15,1,14,4,3,8,17,1,16,2,17,3,16,14,17,1,14,15,7,6,14,1,7,5,14,5,7,6,8,3,7,4,8,2,7,2,14,5,7,3,14,13,7,3,14,1,7,1,14,12,7,3,14,89,15,2,14,19,15,3,14,5,15,4,14,10,15,9,18,2,8,2,18,5,8,68,10,11,8,20,10,5,8,10,10,2,8,4,10,22,8,7,10,4,8,1,10,5,8,5,10,5,8,8,10,7,8,3,10,34,8,14,10,5,8,6,10,5,8,17,10,3,8,12,10,2,8,12,10,1,8,5,10,5,8,5,10,4,8,2,10,4,8,5,10,45,8,2,10,5,8,2,10,4,8,9,10,11,8,4,10,4,8,8,10,3,8,2,10,121,8,1,10,147,8,6,18,4,8,2,18,3,4,3,19,5,4,772,},
{4,682,19,5,4,2,18,2,15,1,8,2,15,5,14,8,16,5,17,4,16,19,17,1,14,14,17,1,16,8,14,2,15,2,8,2,10,4,8,1,18,3,8,2,18,2,14,2,3,5,15,2,14,1,16,6,17,2,16,8,14,4,16,8,14,2,8,1,9,1,8,1,15,1,14,2,16,6,3,1,16,1,17,1,14,3,17,1,16,11,14,6,17,2,14,2,15,1,8,2,15,1,14,2,16,4,3,1,16,10,15,1,8,2,15,1,14,1,16,1,14,5,16,3,14,2,16,31,17,1,14,1,15,1,8,1,9,2,8,2,15,1,14,7,17,1,16,19,17,1,16,1,14,9,17,1,16,3,14,2,17,1,16,3,17,1,16,3,17,2,14,1,17,2,16,30,14,2,15,1,8,1,15,1,17,1,16,13,17,2,16,2,17,2,16,15,17,1,14,5,16,27,17,1,14,6,15,3,14,1,3,1,14,2,18,2,8,2,10,29,8,1,18,2,8,4,10,4,8,1,10,8,8,3,10,4,8,3,10,7,8,1,18,2,8,3,18,1,15,4,18,1,8,4,18,1,14,6,3,1,17,2,14,2,16,1,3,2,14,1,8,1,10,6,8,1,18,3,8,2,9,1,8,1,10,8,8,2,15,1,14,4,3,6,14,2,17,6,16,15,17,1,14,6,15,2,14,7,7,11,14,5,7,3,14,1,7,13,14,4,7,2,8,1,7,3,14,12,7,4,14,13,7,2,14,77,15,5,14,28,15,13,14,10,15,8,18,2,8,2,18,5,8,69,10,9,8,5,10,3,8,26,10,6,8,1,10,24,8,4,10,11,8,8,10,6,8,5,10,7,8,8,10,28,8,15,10,5,8,6,10,6,8,15,10,5,8,25,10,2,8,2,10,7,8,4,10,6,8,12,10,14,8,2,10,34,8,1,10,6,8,8,10,10,8,6,10,3,8,8,10,4,8,4,10,118,8,2,10,136,8,4,10,6,8,6,18,4,8,3,18,2,4,4,19,5,4,771,},
{4,689,18,1,3,1,15,1,8,2,15,6,14,7,17,1,16,4,17,4,16,19,14,15,17,1,16,7,14,3,15,2,8,1,10,5,8,1,18,1,15,1,18,4,14,3,3,4,14,1,15,2,14,1,16,6,17,2,16,8,14,1,15,2,14,1,16,8,14,1,15,1,8,3,15,1,14,2,16,9,17,3,16,13,17,1,14,3,16,3,17,1,14,1,15,1,8,2,15,1,14,3,16,2,3,2,16,9,14,1,15,1,8,1,15,1,14,2,17,1,14,4,17,1,16,3,6,1,17,1,16,31,14,2,8,1,9,3,8,2,15,1,14,3,15,1,14,3,17,1,16,21,14,2,15,1,14,3,17,1,6,1,17,1,16,14,14,4,16,31,14,2,15,1,8,1,15,1,14,1,16,13,6,2,17,3,16,16,17,1,6,1,14,2,17,2,16,28,14,6,15,3,14,5,18,2,8,3,10,26,8,1,18,2,8,3,18,1,8,1,10,4,8,2,10,8,8,1,10,6,8,1,10,7,8,1,18,1,15,1,18,4,15,1,14,3,18,2,8,4,18,2,14,7,17,3,3,3,14,1,15,1,8,2,10,5,8,1,18,2,9,1,10,2,8,3,10,6,8,1,18,1,14,5,3,5,14,8,17,2,16,11,17,2,16,2,17,1,14,5,15,3,14,2,17,1,14,6,7,3,14,16,7,3,14,11,7,3,8,3,7,2,14,12,7,3,14,92,15,7,14,26,15,13,14,8,15,10,18,2,8,1,18,4,8,71,10,7,8,7,10,1,8,1,10,1,8,26,10,45,8,10,10,6,8,4,10,7,8,10,10,25,8,16,10,5,8,5,10,10,8,12,10,6,8,24,10,2,8,2,10,7,8,4,10,6,8,12,10,12,8,4,10,16,8,4,10,14,8,1,10,6,8,9,10,9,8,7,10,3,8,7,10,4,8,6,10,116,8,2,10,26,8,4,10,106,8,5,10,9,8,11,18,1,4,3,19,6,4,770,},
{4,688,18,2,3,1,14,1,18,1,8,2,15,5,14,8,17,1,16,3,17,5,16,11,17,2,16,3,17,1,14,16,16,7,14,4,15,2,8,1,10,4,9,1,18,2,15,1,18,3,15,1,14,3,3,3,14,5,3,1,16,5,14,2,17,1,16,6,3,1,14,1,15,1,14,2,16,7,14,2,15,1,8,3,15,1,14,2,16,6,3,1,16,18,17,1,14,2,16,5,14,1,15,1,8,3,15,1,14,3,3,2,16,10,14,4,17,1,14,4,15,1,14,1,17,1,16,36,14,1,15,1,8,5,15,1,14,8,16,21,17,1,14,2,15,1,14,1,17,1,16,17,17,1,14,4,16,29,14,5,8,2,15,1,17,1,16,12,6,2,17,1,16,18,17,4,16,30,17,1,14,6,15,2,14,6,15,1,18,1,8,2,10,4,8,1,10,21,18,1,14,1,18,1,8,1,10,1,8,1,18,2,8,1,10,3,8,2,10,23,8,1,18,1,14,1,15,1,18,1,14,6,15,1,8,4,18,4,15,1,14,5,16,2,17,1,14,2,3,3,14,1,18,1,8,1,10,4,8,1,18,2,8,1,10,2,18,4,10,5,8,1,18,1,14,3,3,6,14,9,17,2,16,10,17,1,14,2,17,1,16,2,17,1,14,4,15,2,14,3,17,2,14,21,17,2,14,15,7,4,8,3,7,1,14,5,17,3,14,5,7,2,14,93,15,5,14,19,15,1,14,6,15,2,14,1,15,12,14,4,15,14,18,6,8,16,18,2,8,54,10,5,8,35,10,47,8,9,10,7,8,1,10,1,8,2,10,7,8,10,10,25,8,16,10,5,8,5,10,11,8,10,10,8,8,23,10,2,8,2,10,7,8,4,10,6,8,5,10,4,8,3,10,9,8,7,10,15,8,5,10,14,8,1,10,6,8,9,10,10,8,6,10,5,8,4,10,5,8,8,10,114,8,1,10,26,8,2,18,1,8,2,10,10,8,2,10,21,8,3,10,70,8,4,10,11,8,5,10,6,4,3,19,6,4,770,},
{4,688,18,2,3,1,14,1,15,1,8,2,15,6,14,8,17,10,16,9,14,3,17,1,14,9,15,2,14,7,16,6,17,1,14,4,15,1,8,2,10,4,8,1,18,1,14,2,18,3,15,1,14,6,15,1,14,3,15,1,14,1,16,4,14,4,16,2,17,1,16,3,14,2,15,1,14,1,16,7,3,1,14,2,15,1,8,2,15,2,14,1,16,7,14,2,16,4,14,3,16,7,17,3,14,1,17,1,16,6,14,1,15,1,8,3,15,1,14,4,3,1,16,11,14,2,16,2,14,4,15,1,14,1,17,1,16,31,17,4,14,2,15,2,14,2,15,3,14,5,16,25,14,3,17,1,16,18,14,4,17,1,16,27,14,7,15,3,14,1,16,8,6,1,17,1,16,3,17,1,16,19,17,3,16,31,17,1,14,8,18,3,15,1,14,3,18,2,8,1,10,25,8,1,14,2,8,1,10,2,8,1,18,2,8,1,10,3,8,3,10,1,8,1,10,20,8,1,18,1,14,1,18,2,14,1,3,1,14,2,3,1,14,2,18,1,8,3,18,6,15,1,14,3,17,1,16,1,17,1,14,2,16,3,3,1,14,1,8,1,10,4,18,1,14,1,18,2,9,1,8,1,14,1,3,2,14,1,8,1,10,4,8,1,18,1,14,1,3,8,14,7,17,2,16,12,17,1,14,2,17,1,16,2,17,1,14,4,15,2,14,3,17,4,14,10,17,4,14,4,17,5,14,1,17,3,14,12,7,2,8,2,7,1,14,5,17,4,14,4,7,2,14,17,7,1,15,2,14,73,15,3,14,20,15,4,14,7,15,6,8,3,15,3,14,4,15,14,18,6,8,15,18,3,8,53,10,6,8,17,10,6,8,12,10,46,8,10,10,6,8,2,10,2,8,1,10,7,8,3,10,1,8,6,10,25,8,7,10,1,8,8,10,4,8,6,10,4,8,1,10,8,8,6,10,10,8,7,10,1,8,15,10,2,8,2,10,8,8,3,10,6,8,5,10,13,8,8,10,1,8,1,10,14,8,6,10,4,8,2,10,15,8,10,10,10,8,5,10,14,8,10,10,138,8,2,18,2,8,2,10,9,8,3,10,21,8,3,10,86,8,3,10,7,18,1,4,2,19,6,4,770,},
{4,689,18,2,3,1,14,1,15,1,8,3,15,5,14,8,17,1,16,3,17,4,6,1,17,1,16,8,14,7,15,1,14,13,17,1,16,6,17,1,14,2,15,3,8,2,10,4,8,1,18,1,14,2,18,3,14,6,15,3,14,4,16,2,14,5,16,7,14,4,16,8,14,2,15,1,8,2,15,2,14,1,16,7,14,3,16,3,14,3,16,6,14,2,17,1,16,1,17,1,16,7,17,1,14,1,15,7,14,2,3,5,16,10,14,6,16,23,17,1,16,6,14,1,15,2,14,8,3,1,14,6,17,1,16,27,17,1,16,18,17,1,14,5,16,24,14,1,15,5,14,7,17,1,16,70,14,7,18,1,8,1,18,2,14,4,15,1,8,2,10,24,8,1,14,2,8,1,10,3,8,2,10,5,8,1,10,2,8,1,10,16,8,4,18,2,15,1,18,1,14,7,18,1,8,3,18,7,15,1,14,3,17,2,14,3,3,1,16,3,3,1,18,1,10,4,18,1,14,2,18,3,3,4,14,1,8,1,10,3,18,1,14,2,3,5,14,1,3,2,14,8,17,2,16,11,17,1,14,3,17,3,3,1,14,7,17,6,14,9,17,4,14,4,17,2,16,1,17,4,16,2,17,5,14,9,7,3,14,31,7,1,15,5,14,72,15,1,14,14,15,2,14,11,15,13,8,2,15,2,14,4,15,14,18,6,8,15,18,3,8,53,10,6,8,17,10,6,8,11,10,47,8,11,10,6,8,4,10,7,8,3,10,1,8,6,10,25,8,17,10,2,8,7,10,4,8,2,10,8,8,3,10,12,8,23,10,2,8,1,10,8,8,3,10,6,8,6,10,9,8,12,10,1,8,1,10,14,8,7,10,3,8,2,10,15,8,9,10,11,8,6,10,13,8,10,10,137,8,3,18,1,8,2,10,10,8,2,10,22,8,3,10,82,8,1,10,5,8,1,10,8,4,2,19,6,4,770,},
{4,690,18,2,3,1,14,1,18,1,8,4,15,3,14,3,15,2,14,3,16,6,17,1,6,1,14,1,6,1,17,1,16,7,17,1,14,3,16,1,17,1,14,1,15,1,14,12,17,1,16,8,14,2,15,4,8,1,10,4,18,1,15,1,14,1,15,1,18,2,15,1,14,1,15,2,14,3,15,1,8,1,15,2,14,3,16,1,17,1,15,2,14,1,16,10,14,4,16,7,14,2,15,4,14,2,16,7,14,3,16,3,17,1,14,1,16,6,17,1,14,1,17,1,16,11,14,2,15,1,14,2,15,3,14,7,3,1,16,8,17,1,14,1,15,3,14,1,17,1,16,22,17,1,14,1,17,1,16,4,14,1,8,1,9,1,8,1,15,1,14,2,17,2,14,4,3,2,16,1,17,1,14,1,16,48,17,1,14,5,16,20,17,2,14,2,15,1,10,3,8,1,14,4,17,1,16,35,17,2,16,38,14,4,15,4,18,2,15,1,14,4,18,1,8,1,10,24,8,1,18,2,8,2,10,30,8,3,18,3,14,2,18,2,14,2,15,1,8,4,18,7,14,1,15,2,14,8,16,4,14,1,8,1,10,2,9,1,18,3,14,3,3,2,16,1,3,2,8,1,10,2,8,1,14,2,3,6,14,1,3,2,14,5,17,1,14,4,16,5,17,4,16,1,17,1,14,8,3,5,16,2,17,2,16,1,17,2,14,12,17,4,14,3,17,9,14,6,17,4,14,4,7,1,14,21,7,3,14,9,15,2,8,2,15,1,14,8,3,2,14,47,15,1,14,14,15,1,14,4,15,1,14,7,15,3,14,12,15,9,14,3,15,2,8,1,15,3,14,5,15,7,18,6,15,2,18,3,8,72,10,5,8,33,10,48,8,12,10,4,8,5,10,4,8,4,10,3,8,6,10,33,8,19,10,2,8,3,10,8,8,2,10,3,8,2,10,8,8,27,10,7,8,3,10,4,8,8,10,8,8,15,10,13,8,13,10,15,8,7,10,12,8,8,10,10,8,10,10,140,8,4,10,107,8,1,10,12,8,2,10,4,8,3,10,6,4,3,19,7,4,768,},
{4,691,18,1,3,2,14,1,8,1,10,2,8,2,15,2,14,3,15,2,14,3,17,1,16,6,17,1,14,2,6,1,17,1,16,7,14,3,16,1,17,1,14,1,15,1,14,8,15,1,14,2,17,1,16,9,14,2,15,1,14,1,15,2,8,1,10,4,18,1,14,3,18,2,15,2,8,1,15,1,14,4,15,1,8,1,15,1,14,2,17,1,16,1,17,1,15,2,14,1,16,11,14,3,16,8,14,1,15,1,8,1,15,2,14,2,16,8,14,2,17,1,16,10,17,1,14,1,16,13,14,4,8,4,18,1,15,2,14,2,3,1,16,8,14,3,7,2,14,2,17,1,16,23,6,1,16,4,17,1,15,1,10,2,8,1,14,2,16,3,14,3,3,1,16,53,17,1,14,2,15,1,14,1,17,1,16,19,14,5,15,1,9,1,10,2,8,1,14,1,16,1,14,2,16,36,17,2,16,39,14,3,15,2,14,2,15,2,14,5,18,1,8,3,10,7,8,2,10,14,8,4,10,16,8,3,10,11,8,5,18,1,14,2,18,2,14,2,18,1,8,4,18,2,8,3,18,1,14,3,8,1,15,1,14,7,3,1,16,3,14,1,18,1,10,1,8,2,18,2,14,2,3,7,15,1,8,2,15,1,14,2,3,9,14,4,17,2,14,4,17,1,16,4,14,3,17,2,14,9,3,1,16,7,17,1,16,1,17,2,14,3,7,2,14,7,17,2,14,9,17,4,14,6,17,2,16,3,17,1,14,10,7,5,14,20,7,1,15,2,8,4,15,1,14,8,3,1,14,61,15,2,14,3,15,2,14,7,15,3,14,11,15,6,8,1,15,3,14,3,15,2,8,2,15,2,14,8,15,4,18,1,8,2,18,3,15,2,18,3,8,72,10,9,8,29,10,48,8,13,10,4,8,4,10,4,8,4,10,3,8,4,10,41,8,12,10,3,8,5,10,5,8,3,10,3,8,3,10,7,8,27,10,7,8,2,10,5,8,1,18,1,8,7,10,7,8,6,10,2,8,7,10,13,8,13,10,16,8,6,10,5,8,4,10,3,8,10,10,7,8,11,10,250,8,2,10,7,8,1,10,4,8,3,10,4,8,5,10,4,4,3,19,6,4,768,},
{4,685,19,3,4,3,18,1,3,2,14,1,15,1,8,1,10,1,8,4,15,2,14,7,16,6,17,1,6,1,14,1,6,1,17,1,16,6,17,1,14,6,15,1,14,8,15,1,14,2,16,10,14,2,15,1,14,1,15,2,8,1,10,3,8,1,15,1,3,3,14,1,18,1,8,1,9,1,10,1,9,1,15,1,14,3,15,1,8,2,15,1,14,1,17,1,16,2,14,2,17,1,16,11,14,4,16,7,14,1,8,2,15,2,14,2,16,8,14,2,17,1,16,11,14,1,17,1,16,12,17,1,14,2,15,1,8,1,10,3,9,1,18,1,15,1,14,1,3,1,16,9,14,6,6,1,17,2,16,27,17,1,15,1,8,2,15,1,14,1,16,4,14,3,3,1,16,53,14,2,15,2,14,1,6,1,16,19,17,1,14,1,17,1,16,3,15,3,14,1,16,41,17,1,16,39,3,1,14,13,18,2,8,2,10,6,8,3,10,14,8,2,10,18,8,3,10,16,8,1,14,1,3,2,14,3,18,2,8,9,18,1,14,1,15,1,8,2,14,7,3,1,16,1,3,2,14,1,8,1,10,1,9,1,8,1,18,1,14,2,3,3,14,1,3,3,14,2,15,1,14,2,3,6,16,1,3,3,14,4,3,1,17,2,14,4,17,1,16,4,14,3,17,2,14,9,17,1,16,6,17,3,14,25,17,4,14,6,17,3,16,2,17,1,14,35,15,1,8,5,15,1,14,71,15,3,14,2,15,2,14,7,15,3,14,11,15,7,8,2,15,5,8,3,15,3,14,8,15,4,18,5,15,2,18,4,8,68,10,5,8,4,10,4,8,28,10,42,8,5,10,1,8,12,10,6,8,1,10,7,8,2,10,47,8,1,10,1,8,12,10,3,8,6,10,1,8,12,10,6,8,29,10,5,8,3,10,5,8,9,10,7,8,12,10,17,8,13,10,6,8,2,10,7,8,5,10,5,8,4,10,5,8,12,10,3,8,15,10,246,8,3,10,11,8,4,10,3,8,6,10,5,4,2,19,7,4,767,},
{4,684,19,5,4,2,18,1,3,2,14,2,8,2,10,3,8,2,15,1,14,2,15,3,14,2,17,1,16,5,17,2,14,2,17,2,16,5,17,1,14,1,7,2,14,15,16,9,17,1,14,2,15,1,14,1,15,2,8,1,10,3,8,1,15,1,3,4,14,1,8,1,10,2,9,1,15,1,14,1,3,1,14,1,15,1,8,2,15,1,14,1,16,17,14,4,16,6,14,2,8,2,15,1,14,4,16,6,14,2,17,3,16,10,14,2,16,13,14,2,8,2,10,4,15,1,14,1,3,1,16,10,14,3,17,6,16,27,17,1,14,1,8,1,15,1,14,1,16,4,17,1,14,3,16,52,17,1,14,3,15,2,14,1,17,1,16,20,17,1,16,18,14,3,16,68,14,14,15,3,18,1,8,2,10,4,8,3,10,9,8,1,10,24,8,2,10,18,18,1,3,3,14,4,18,1,8,8,18,1,14,2,8,2,14,11,8,1,10,3,8,1,18,2,14,5,15,1,14,3,3,9,16,3,3,2,14,2,3,3,17,2,14,4,17,2,16,2,17,2,14,1,17,3,14,8,3,1,16,7,17,1,14,29,17,2,14,6,17,7,14,33,7,1,15,1,8,4,15,2,14,71,15,3,14,2,15,2,14,7,15,3,14,13,15,6,8,2,15,3,8,4,15,3,14,8,15,4,18,5,15,2,18,3,8,67,10,6,8,5,10,9,8,23,10,41,8,19,10,62,8,1,10,2,8,12,10,2,8,7,10,1,8,12,10,5,8,27,10,2,8,9,10,5,8,7,10,1,8,2,10,1,8,1,10,5,8,9,10,19,8,14,10,5,8,2,10,8,8,3,10,3,8,7,10,6,8,29,10,246,8,4,10,10,8,3,10,6,8,1,10,8,4,2,19,8,4,766,},
{4,684,19,6,4,2,18,1,3,2,14,1,15,1,8,1,10,4,9,1,8,1,15,6,14,2,16,6,6,1,14,2,6,1,17,1,16,5,17,1,14,1,7,2,14,2,17,1,14,12,16,9,17,1,14,1,15,4,8,2,10,3,8,1,18,1,14,1,3,3,14,1,8,1,10,2,8,1,15,1,14,1,16,2,14,1,15,2,14,1,17,1,16,16,14,4,17,1,16,5,17,1,14,2,15,2,14,5,16,6,14,2,17,1,16,7,17,2,16,3,14,2,17,1,16,12,14,1,15,1,8,2,10,3,8,1,15,1,14,1,16,12,17,2,14,3,6,1,17,1,16,21,17,1,16,6,17,1,14,1,15,1,14,1,17,1,16,4,17,1,14,3,16,50,17,1,14,4,15,2,14,2,17,1,16,38,14,1,15,1,8,1,15,1,14,1,16,67,14,1,15,3,14,2,3,6,14,6,15,1,8,2,10,3,8,3,10,8,8,2,10,24,8,2,10,18,8,1,14,1,3,1,14,6,8,8,18,1,14,2,8,2,15,1,14,8,15,2,8,1,10,2,9,1,8,2,18,7,15,1,14,1,3,3,16,3,3,4,16,3,3,2,14,1,3,3,16,2,17,2,14,4,17,8,14,9,3,1,16,7,17,1,14,36,17,8,14,33,15,2,8,3,15,3,14,75,15,4,14,5,15,5,14,16,15,2,8,6,15,7,14,8,15,4,18,10,8,1,18,7,8,21,18,1,8,36,10,5,8,6,10,1,8,2,10,7,8,22,10,41,8,19,10,68,8,9,10,2,8,7,10,4,8,3,10,1,8,1,10,2,8,1,10,6,8,8,10,3,8,12,10,2,8,1,10,4,8,8,10,5,8,4,10,6,8,2,10,8,8,5,10,20,8,3,10,3,8,8,10,17,8,1,10,2,8,8,10,5,8,29,10,247,8,4,10,11,8,2,10,15,4,3,19,7,4,766,},
{4,685,19,5,4,2,18,1,3,2,14,1,15,1,8,1,10,5,8,2,15,5,14,3,16,5,17,1,14,2,6,1,17,1,16,5,17,1,14,2,7,1,14,2,16,2,14,10,17,1,16,9,14,2,15,4,8,2,10,2,8,1,18,2,14,2,3,2,14,1,15,1,8,2,15,1,14,1,16,3,14,1,15,2,14,1,16,15,17,1,14,4,16,7,14,5,16,2,14,3,16,6,14,3,16,7,14,2,16,3,14,3,16,10,17,2,14,1,15,1,8,3,10,1,9,1,8,1,14,2,3,2,14,3,16,9,17,1,6,1,17,1,16,22,17,2,16,7,14,3,16,4,17,1,14,3,16,5,17,1,16,43,14,5,15,4,14,2,16,39,14,1,15,1,8,1,15,1,14,1,16,66,14,1,15,1,8,2,15,1,14,1,3,7,14,6,15,1,18,1,8,1,10,4,8,1,10,56,18,3,14,5,18,1,8,5,18,2,15,1,14,7,17,1,16,1,17,1,14,3,15,1,8,1,10,8,9,1,8,2,18,2,15,1,14,1,3,2,16,3,3,15,16,2,17,2,14,4,17,6,14,9,17,2,16,7,17,1,14,36,17,9,14,31,15,12,14,4,3,2,14,65,15,5,14,4,15,6,14,17,15,2,8,4,15,9,14,6,15,5,18,17,8,22,18,1,8,37,10,1,8,12,10,7,8,22,10,42,8,17,10,4,8,2,10,4,8,4,10,4,8,1,10,43,8,5,10,3,8,7,10,3,8,7,10,17,8,7,10,5,8,12,10,7,8,7,10,6,8,3,10,7,8,3,10,7,8,4,10,22,8,1,10,7,8,6,10,17,8,11,10,3,8,27,10,250,8,5,10,10,8,2,10,16,4,2,19,7,4,766,},
{4,685,19,5,4,2,18,1,14,3,15,1,8,2,10,4,8,4,15,3,14,3,17,1,16,4,17,1,14,3,6,1,16,5,17,1,14,5,16,2,14,10,16,10,14,1,15,2,8,1,15,1,8,3,10,1,8,1,15,1,14,1,18,1,15,1,14,1,3,2,14,2,15,1,14,3,16,3,14,3,17,1,16,15,17,1,14,3,16,8,14,4,16,3,14,3,16,5,14,4,16,7,14,1,17,1,16,3,14,3,16,10,17,2,14,1,15,2,8,2,9,2,8,1,15,1,14,6,16,34,14,1,17,1,16,8,17,2,16,3,17,4,16,4,14,4,16,41,17,1,14,4,15,5,14,2,16,12,17,1,6,3,16,24,14,1,15,2,14,1,16,65,14,1,15,1,9,1,10,2,8,1,14,1,3,4,14,9,15,1,8,2,10,61,8,3,15,1,14,4,18,1,8,4,18,4,14,6,17,1,16,3,17,1,14,2,15,1,8,2,10,9,8,2,18,1,15,1,14,2,3,14,16,1,3,4,16,3,17,3,14,4,17,2,16,1,17,1,14,9,17,2,16,7,17,1,14,3,15,2,14,31,17,10,14,30,15,9,18,4,14,3,3,1,14,66,15,3,14,1,15,11,14,18,15,14,14,6,15,5,18,6,8,5,18,6,8,38,18,1,8,35,10,5,8,23,10,42,8,16,10,5,8,3,10,2,8,5,10,4,8,2,10,42,8,6,10,3,8,5,10,4,8,6,10,18,8,7,10,5,8,12,10,7,8,7,10,6,8,3,10,6,8,5,10,6,8,4,10,22,8,1,10,8,8,7,10,14,8,40,10,252,8,3,10,12,8,3,10,16,4,2,19,6,4,766,},
{4,685,19,5,4,2,18,2,14,2,15,1,8,7,10,1,9,1,8,1,15,3,14,4,17,1,16,4,17,1,14,2,6,1,16,6,17,1,14,4,17,1,16,1,14,10,16,9,17,1,14,1,15,2,8,6,15,1,14,1,3,1,14,2,3,8,14,1,16,3,14,3,17,1,16,15,17,1,14,3,16,7,17,1,14,2,17,1,16,4,14,3,17,1,16,5,14,3,16,6,17,1,14,1,16,4,17,1,14,3,16,11,17,1,14,2,15,1,8,2,9,1,8,1,15,2,14,1,15,3,14,1,16,28,17,1,16,3,17,3,16,13,17,3,16,5,14,5,16,37,17,2,16,2,14,3,15,2,8,3,15,1,14,2,17,1,16,11,6,1,14,1,7,2,17,1,16,25,17,2,16,66,14,1,8,1,10,3,15,1,14,1,3,1,14,6,15,6,8,4,10,34,8,2,10,27,8,1,14,4,18,1,8,4,18,2,8,1,18,1,15,1,14,2,17,1,3,1,17,1,16,3,17,1,14,3,15,1,8,2,10,10,8,1,18,2,14,3,3,8,14,3,3,2,16,2,3,3,16,5,17,1,14,4,17,1,16,2,17,1,14,2,17,7,16,6,3,1,17,3,14,3,15,1,14,14,17,5,14,14,17,1,14,7,17,1,14,30,15,1,8,4,15,3,8,3,18,2,14,55,15,1,14,14,15,2,14,3,15,6,14,3,15,1,14,19,15,13,14,7,15,4,18,1,8,12,18,4,8,38,18,1,8,55,10,50,8,16,10,5,8,3,10,2,8,4,10,49,8,6,10,3,8,4,10,5,8,6,10,18,8,7,10,5,8,12,10,8,8,5,10,6,8,18,10,1,8,6,10,31,8,9,10,12,8,39,10,131,8,1,10,136,8,3,10,16,4,2,19,6,4,766,},
{4,692,18,2,14,2,18,1,8,8,10,1,8,1,15,4,14,3,17,1,16,5,14,2,6,1,17,1,16,7,14,2,15,1,14,11,16,10,17,1,14,1,15,2,8,5,15,1,14,1,3,6,14,1,3,1,16,3,14,4,17,2,6,1,14,1,17,1,16,15,17,1,14,2,16,9,14,2,17,4,14,4,17,1,16,5,14,3,17,1,16,6,17,1,16,6,14,2,16,13,14,2,8,2,9,2,8,1,15,4,14,2,16,31,17,1,14,2,16,13,17,3,16,6,14,5,16,37,17,2,16,1,17,1,14,3,15,1,8,4,15,1,14,3,17,1,16,1,17,1,16,7,17,1,14,2,6,1,17,1,16,34,17,2,16,5,17,1,16,52,14,1,15,1,10,2,8,1,14,1,3,1,14,3,15,1,18,7,8,3,9,1,10,1,8,2,10,32,8,4,10,17,8,2,10,7,8,1,14,4,8,5,18,2,8,2,18,1,14,4,17,3,14,5,15,1,8,2,10,11,9,1,8,1,15,2,14,4,3,5,14,3,3,2,16,2,3,3,16,6,14,4,17,1,16,3,14,2,17,3,16,1,3,1,16,6,17,1,3,2,14,21,17,7,14,51,15,1,8,6,15,1,18,1,8,2,18,2,14,4,18,2,14,54,15,3,14,7,15,2,14,4,15,5,14,24,15,4,14,2,15,5,14,8,15,3,18,1,8,14,18,2,8,86,10,5,8,3,10,51,8,16,10,5,8,2,10,4,8,3,10,49,8,6,10,4,8,1,10,8,8,6,10,5,8,2,10,11,8,7,10,4,8,15,10,5,8,4,10,6,8,26,10,15,8,1,10,15,8,10,10,12,8,38,10,131,8,1,10,23,8,1,10,87,8,3,10,22,8,2,10,17,4,3,19,6,4,765,},
{4,692,18,1,3,2,14,1,18,1,8,3,15,3,8,5,15,4,14,2,16,6,17,1,14,2,17,1,16,7,17,1,14,1,15,1,14,9,17,1,16,11,17,1,14,2,15,2,8,3,15,2,14,1,3,5,14,2,3,1,16,3,14,2,15,1,7,1,14,1,17,1,16,1,6,1,17,1,16,15,17,1,14,2,16,9,17,2,14,8,16,7,14,3,16,14,14,2,16,13,14,1,15,2,8,3,15,1,14,4,16,23,17,1,16,7,14,2,15,1,14,1,16,13,17,1,16,7,14,5,17,1,16,37,14,7,15,1,8,4,15,1,14,2,17,1,16,2,17,1,16,5,17,1,14,3,6,1,16,35,17,1,14,1,17,1,16,4,17,1,6,1,16,52,14,2,15,1,8,1,14,1,3,1,16,1,14,2,15,1,8,11,9,1,8,7,10,3,8,3,10,22,8,1,18,2,8,1,10,16,8,3,10,7,8,2,14,3,8,5,18,1,15,1,8,2,15,1,14,12,15,1,8,1,10,7,8,1,9,1,10,4,8,1,18,1,15,1,14,12,3,2,16,1,3,4,16,6,14,4,16,4,14,2,17,1,16,10,17,1,3,1,14,22,17,6,14,52,15,1,8,7,18,1,8,1,18,3,14,2,18,4,14,49,15,1,14,2,15,1,14,2,15,5,14,2,15,4,14,4,15,5,14,4,15,2,14,6,15,1,14,11,15,4,14,2,15,5,14,2,15,3,14,1,15,5,18,1,8,102,10,33,8,1,10,17,8,2,10,6,8,16,10,5,8,3,10,2,8,3,10,51,8,5,10,13,8,6,10,4,8,4,10,13,8,20,10,9,8,2,10,6,8,28,10,16,8,3,10,11,8,11,10,9,8,39,10,124,8,1,10,7,8,2,10,22,8,1,10,86,8,4,10,42,4,2,19,7,4,764,},
{4,692,18,1,3,2,14,1,15,1,8,3,15,4,8,7,15,1,14,2,16,6,17,1,6,3,17,1,16,6,17,1,14,5,17,1,14,4,17,1,16,11,17,2,14,3,15,1,8,3,15,2,14,3,3,1,14,4,3,1,16,3,14,1,15,1,8,2,14,1,16,2,17,1,16,17,14,1,16,11,17,1,14,3,15,1,14,3,16,8,17,1,14,2,16,14,14,2,16,13,14,4,8,1,15,1,14,2,17,1,16,24,17,1,16,8,14,1,15,2,14,1,16,20,17,1,14,6,16,10,17,2,16,25,14,5,15,2,8,5,15,1,14,2,16,8,14,1,7,2,14,1,17,1,16,35,17,1,14,3,16,4,17,2,16,53,14,4,16,2,14,2,15,1,8,4,18,1,8,12,18,2,8,7,10,4,8,2,10,15,8,1,18,2,8,1,10,16,8,3,10,8,8,1,15,3,8,5,15,4,14,13,15,1,8,1,10,6,8,1,18,1,8,1,9,1,10,3,8,1,15,1,14,11,3,9,16,6,17,1,14,3,16,4,14,2,17,1,16,9,3,2,14,24,17,5,14,52,15,1,8,10,18,3,14,1,18,4,15,2,14,47,15,5,14,10,15,2,14,4,15,4,14,5,15,12,14,8,15,10,14,3,15,3,14,1,15,5,18,2,8,74,10,1,8,23,10,36,8,1,10,16,8,4,10,4,8,10,10,2,8,4,10,6,8,8,10,37,8,5,10,9,8,5,10,4,8,1,10,11,8,3,10,3,8,4,10,17,8,17,10,2,8,1,10,6,8,2,10,5,8,21,18,1,8,8,10,15,8,3,10,12,8,11,10,7,8,15,10,7,8,13,10,129,8,1,10,7,8,2,10,110,8,1,10,44,4,2,19,7,4,764,},
{4,691,18,1,3,3,14,1,15,1,8,4,15,4,8,6,15,1,14,2,16,7,17,1,6,1,14,1,6,1,17,1,16,6,17,1,14,2,17,2,16,3,17,1,16,13,17,3,14,2,15,1,8,3,15,2,14,1,15,4,8,1,15,2,14,1,16,3,14,1,15,1,8,1,15,1,14,1,16,32,14,7,16,10,14,1,16,15,14,1,15,1,14,1,16,12,17,1,14,1,16,1,14,1,15,2,14,1,16,7,17,2,16,26,14,1,15,2,17,1,16,5,17,1,16,14,14,1,15,1,14,6,17,2,16,6,17,1,14,3,17,2,16,21,17,1,14,4,15,3,8,5,15,1,14,1,17,1,16,7,6,1,14,1,7,1,14,1,17,1,16,34,17,2,14,3,17,1,16,65,14,1,15,2,8,4,18,2,8,4,18,1,8,2,18,7,8,3,18,2,8,13,10,9,8,1,18,2,8,1,10,13,8,4,10,11,8,1,15,3,8,3,18,1,15,1,14,5,15,2,14,10,15,1,8,1,10,4,8,1,18,2,8,1,10,3,9,1,18,1,14,12,3,9,16,7,17,3,16,3,17,1,14,2,17,1,16,1,17,3,3,4,14,84,15,1,8,3,15,3,18,1,8,4,18,3,14,3,15,6,14,43,15,6,14,10,15,2,14,13,15,12,14,7,15,11,14,3,15,9,18,2,8,73,10,4,8,22,10,35,8,1,10,16,8,4,10,4,8,9,10,4,8,1,10,8,8,8,10,36,8,7,10,10,8,3,10,21,8,5,10,17,8,17,10,2,8,1,10,6,8,3,10,3,8,14,10,3,8,4,18,2,8,9,10,14,8,3,10,14,8,9,10,7,8,13,10,10,8,12,10,129,8,1,10,8,8,1,10,6,8,1,10,119,8,1,10,5,8,1,10,23,4,1,19,7,4,764,},
{4,686,19,3,4,2,18,1,3,3,14,2,15,1,8,5,15,1,18,2,8,5,15,1,14,2,17,1,16,7,17,1,6,1,14,1,6,1,16,29,17,2,14,2,15,1,8,1,9,1,8,2,15,2,18,1,8,1,10,2,9,1,8,1,15,1,14,1,16,3,17,1,14,1,7,2,17,1,16,32,17,1,14,4,17,1,16,26,17,1,14,1,15,1,14,1,16,16,14,3,16,7,17,2,16,25,14,1,15,1,8,1,14,1,16,5,17,5,16,11,14,1,15,2,14,7,16,6,14,7,17,2,16,17,17,1,14,5,15,1,8,7,15,1,14,1,3,1,16,6,17,1,14,2,6,1,16,36,17,3,14,2,16,66,14,1,15,2,8,4,18,5,15,3,18,8,8,3,18,2,8,13,10,10,8,2,10,13,8,3,10,13,8,1,15,1,14,2,15,2,8,2,15,1,14,5,15,2,14,3,17,4,14,4,15,1,8,3,18,3,8,1,9,1,10,3,8,1,15,1,14,1,3,2,14,9,3,9,16,9,17,1,16,1,17,2,14,3,3,2,14,91,15,1,8,2,15,1,14,1,15,2,18,1,8,4,18,3,14,4,15,6,14,42,15,6,14,21,15,5,14,1,15,10,14,6,15,3,14,1,15,8,14,3,15,6,14,1,15,2,18,2,8,74,10,3,8,21,10,2,8,3,10,31,8,2,10,16,8,3,10,5,8,7,10,14,8,8,10,36,8,7,10,12,8,1,10,2,8,2,10,18,8,3,10,6,8,5,10,8,8,19,10,6,8,19,10,7,8,13,10,32,8,7,10,7,8,11,10,11,8,12,10,42,8,1,10,1,8,1,10,101,8,2,10,118,8,1,10,5,8,1,10,17,8,1,10,5,4,1,19,7,4,764,},
{4,686,19,4,4,1,3,5,14,2,15,1,8,5,18,3,8,3,15,2,14,3,17,2,16,6,17,1,6,1,17,1,16,3,17,2,16,17,17,1,16,6,17,3,14,1,15,1,9,1,10,1,9,1,8,1,15,2,8,1,10,4,8,1,15,1,14,1,16,4,14,2,16,34,17,2,16,8,14,1,17,1,16,10,14,2,16,8,17,1,14,1,15,1,14,1,16,16,14,2,17,1,16,33,14,1,15,1,9,1,8,1,14,1,16,4,17,4,14,2,17,1,16,9,17,1,14,10,16,6,14,2,15,3,14,6,16,13,17,1,14,6,15,1,8,9,14,2,16,6,17,2,16,37,17,2,16,2,17,2,16,3,17,2,16,61,14,1,15,4,18,1,15,2,18,2,15,1,14,4,15,1,18,6,8,4,18,8,8,3,18,3,8,1,10,10,8,3,10,12,8,2,10,13,8,2,14,4,15,1,8,3,15,2,14,3,8,2,15,1,14,2,16,4,14,5,15,2,18,4,8,1,10,4,8,1,15,1,14,1,3,2,14,11,3,7,16,11,17,1,14,75,7,6,14,15,15,1,8,3,15,1,14,2,15,1,18,2,8,2,18,5,14,3,15,5,14,2,15,2,14,39,15,5,14,13,15,1,14,8,15,5,14,4,15,7,14,5,15,2,14,4,15,7,14,2,15,7,14,1,15,4,18,1,8,103,10,6,8,3,10,13,8,3,10,5,8,2,10,16,8,4,10,4,8,3,10,2,8,2,10,15,8,6,10,36,8,8,10,13,8,4,10,17,8,4,10,6,8,6,10,8,8,18,10,5,8,16,10,8,8,1,10,2,8,7,10,1,8,5,10,31,8,10,10,7,8,7,10,13,8,4,10,4,8,4,10,41,8,3,10,57,8,1,10,44,8,2,10,117,8,2,10,5,8,1,10,23,4,2,19,6,4,764,},
{4,686,19,4,4,1,3,6,14,2,8,6,18,3,15,2,14,7,17,2,16,4,17,2,16,4,17,2,16,17,17,1,16,5,17,4,14,1,15,1,9,1,10,1,9,1,15,1,14,2,8,1,10,3,9,1,15,1,14,1,17,1,16,37,14,1,17,1,16,10,17,1,14,2,16,10,14,2,16,8,17,1,14,1,15,1,14,1,16,16,14,2,16,12,17,1,16,20,14,2,8,1,10,1,9,1,14,1,16,6,17,3,14,1,17,1,16,9,17,1,14,7,15,1,7,1,14,1,17,1,16,5,17,1,14,1,15,5,14,4,16,12,17,1,14,7,15,1,8,9,15,1,14,1,16,50,17,5,6,1,16,61,3,1,14,5,15,4,14,2,3,1,14,5,18,4,8,1,10,2,8,1,18,8,8,2,18,2,14,1,18,1,8,1,10,10,8,8,10,7,8,2,10,12,8,2,15,1,14,5,8,5,15,3,8,3,14,2,17,1,16,2,17,1,14,7,18,4,8,1,10,4,9,1,18,1,14,5,15,2,14,9,3,5,17,1,16,10,14,75,7,8,14,13,15,1,8,5,15,2,18,13,15,4,14,3,15,4,14,38,15,1,14,10,15,4,14,2,15,2,14,6,15,6,14,3,15,8,14,5,15,2,14,4,15,2,8,2,15,10,14,3,15,4,18,1,8,52,18,5,8,1,18,7,8,1,18,1,8,36,10,6,8,2,10,14,8,4,10,4,8,2,10,16,8,5,10,3,8,6,10,17,8,4,10,38,8,7,10,13,8,4,10,17,8,4,10,6,8,6,10,10,8,16,10,4,8,18,10,3,8,10,10,6,8,5,10,24,8,17,10,8,8,2,10,16,8,4,10,6,8,4,10,39,8,1,10,58,8,3,10,43,8,2,10,68,8,2,10,40,8,1,10,6,8,3,10,4,8,2,10,22,4,2,19,6,4,764,},
{4,686,19,4,4,1,3,7,14,1,15,1,8,5,18,3,15,2,14,9,17,2,16,14,17,1,16,6,17,1,14,1,17,5,16,6,17,1,16,1,17,1,14,1,15,1,9,1,10,1,8,1,15,1,14,2,15,1,8,1,10,1,9,1,8,1,15,1,14,1,16,38,17,1,16,11,14,3,17,1,16,8,14,3,16,9,14,3,16,15,17,1,14,2,16,24,14,10,15,1,9,1,10,1,8,1,16,7,14,4,17,1,16,9,17,2,14,9,17,1,16,4,14,2,15,2,8,2,15,1,14,6,16,6,17,1,14,1,17,1,16,4,14,5,15,1,8,7,10,2,8,2,14,1,17,1,16,49,14,5,6,1,16,61,14,11,3,3,14,5,15,1,18,2,8,1,10,1,8,2,18,1,14,1,18,6,8,2,18,1,15,1,14,1,18,1,8,1,10,9,8,2,18,7,8,1,10,20,8,2,15,1,14,2,17,1,14,2,8,11,14,14,18,3,10,6,8,1,18,1,15,4,8,2,15,2,14,6,3,6,16,10,14,75,7,3,15,6,14,13,15,1,8,5,15,3,18,2,15,2,18,8,15,2,14,5,15,4,14,19,17,1,14,28,15,6,14,1,15,2,14,8,15,3,14,4,15,8,14,5,15,2,14,5,15,2,8,1,15,10,14,2,15,5,18,2,8,51,18,13,8,1,18,1,8,36,10,5,8,2,10,15,8,3,10,5,8,2,10,16,8,13,10,19,8,3,10,40,8,6,10,13,8,4,10,17,8,4,10,6,8,5,10,10,8,16,10,4,8,19,10,1,8,9,10,8,8,4,10,24,8,18,10,26,8,3,10,8,8,6,10,95,8,2,10,145,8,7,10,3,8,2,10,7,8,1,10,5,8,1,10,23,4,3,19,5,4,764,},
{4,686,19,4,4,1,18,1,3,6,14,2,15,1,8,4,18,1,8,2,18,2,15,2,14,3,17,1,14,4,17,1,16,13,17,1,6,1,14,1,3,1,16,5,14,4,17,1,16,9,17,1,14,1,8,3,15,1,14,4,15,1,8,1,10,2,8,1,14,1,3,1,16,48,17,1,14,1,17,1,16,10,14,3,16,8,17,3,16,16,17,1,14,2,17,1,16,20,14,2,15,1,9,2,15,2,14,3,15,2,8,1,9,1,10,2,15,1,16,6,14,4,7,1,14,1,16,11,14,9,3,1,16,3,14,2,15,1,8,3,9,1,15,1,14,6,16,3,17,1,16,2,17,1,14,2,17,1,16,5,14,2,15,1,8,1,10,3,8,4,10,3,15,1,14,1,16,49,14,6,17,1,16,61,17,1,14,18,15,3,8,4,15,1,14,1,15,1,14,3,15,1,8,3,18,1,15,1,18,1,8,1,10,5,8,1,10,3,8,5,18,4,8,2,10,10,8,1,10,9,8,2,14,2,3,2,14,2,15,1,8,9,15,1,14,15,18,1,8,1,10,6,8,9,18,3,15,2,14,2,3,2,16,13,17,1,14,6,17,1,16,1,14,7,15,2,14,49,7,1,14,10,15,9,7,2,15,3,7,2,14,5,15,2,8,2,15,14,8,2,15,10,14,20,17,1,14,30,15,6,14,14,15,5,14,2,7,1,14,7,15,3,14,5,15,3,8,1,15,2,14,2,15,5,14,1,15,3,18,3,8,5,18,1,8,51,18,6,8,28,10,1,8,18,10,11,8,3,10,24,8,15,10,20,8,3,10,42,8,6,10,13,8,3,10,17,8,5,10,5,8,7,10,6,8,7,10,5,8,3,10,5,8,4,10,10,8,5,10,7,8,1,10,2,8,5,10,30,8,2,10,6,8,12,10,10,8,3,10,13,8,2,10,4,8,6,10,1,8,6,10,14,8,1,10,20,8,2,10,53,8,3,10,27,8,2,10,17,8,1,10,91,8,3,10,3,8,13,10,19,8,2,10,5,8,3,10,9,18,1,4,772,},
{4,687,19,3,4,1,18,1,3,7,14,2,15,1,8,1,9,1,8,8,15,1,14,1,17,1,16,1,17,1,14,1,7,2,6,1,17,1,16,3,17,2,16,7,17,1,6,1,14,2,3,2,16,1,3,2,14,4,17,1,16,2,17,1,16,6,17,1,14,1,15,3,14,2,15,1,14,3,18,1,9,1,10,1,18,1,14,1,16,49,17,1,16,12,17,1,14,1,17,1,16,27,14,1,15,2,14,1,16,19,14,1,15,1,8,1,10,3,9,1,15,1,14,1,15,1,18,1,8,1,9,1,10,4,15,1,16,6,14,1,15,3,8,1,7,1,17,1,16,10,14,4,17,1,16,1,3,1,14,2,3,1,16,3,14,1,15,1,8,1,9,4,8,1,14,1,16,2,14,3,17,1,16,2,14,1,16,1,17,1,14,4,16,4,17,1,14,2,15,1,8,1,10,4,8,3,10,3,15,1,14,1,16,46,17,1,14,9,16,61,17,1,14,20,15,2,8,3,15,1,14,1,15,1,14,3,15,5,18,1,8,2,10,3,8,17,10,8,8,3,10,8,8,3,14,2,3,1,14,3,15,1,8,9,14,16,18,1,8,1,10,7,8,1,10,6,8,5,18,1,15,1,14,1,3,2,16,14,14,6,16,3,17,1,14,5,15,2,14,40,7,1,14,7,7,2,14,13,15,7,7,1,15,4,7,1,14,6,15,1,8,2,15,3,14,3,15,4,14,2,15,2,8,2,18,1,15,8,14,55,15,1,14,15,15,6,14,10,15,4,14,5,15,2,8,1,15,2,14,3,15,7,18,4,8,4,18,6,8,80,10,2,8,8,10,2,8,8,10,10,8,5,10,23,8,15,10,4,8,2,10,16,8,4,10,39,8,7,10,12,8,4,10,17,8,4,10,9,8,4,10,5,8,6,10,7,8,1,10,5,8,5,10,10,8,5,10,10,8,7,10,23,8,7,10,6,8,12,10,10,8,3,10,18,8,7,10,1,8,6,10,14,8,1,10,20,8,3,10,50,8,5,10,19,8,2,10,5,8,3,10,3,8,2,10,104,8,3,10,3,8,13,10,18,8,4,10,3,8,5,10,5,4,776,},
{4,691,18,1,3,5,16,2,3,1,14,1,15,1,8,1,9,1,8,8,15,1,14,1,17,1,16,1,17,1,14,1,7,2,6,1,17,1,16,3,17,3,16,6,17,1,6,1,15,1,18,1,14,2,3,1,14,6,17,1,16,3,17,1,14,2,16,4,14,3,15,4,14,3,18,1,8,1,9,1,18,1,3,1,16,92,14,1,15,2,14,1,16,20,15,1,9,1,10,3,15,1,14,1,3,2,14,1,9,1,10,5,15,1,14,1,16,3,14,4,15,2,8,1,7,1,17,1,16,9,17,1,14,9,3,1,16,3,14,2,15,1,9,2,10,2,9,1,14,1,3,2,14,1,15,2,14,1,16,3,17,1,14,2,15,2,14,1,16,3,14,4,15,1,8,2,10,4,8,1,10,3,8,1,15,1,14,1,16,45,17,1,14,10,16,62,14,21,15,1,8,3,15,4,14,7,15,1,8,2,10,3,8,16,10,10,8,1,10,8,8,4,14,6,15,1,8,8,15,1,14,16,18,1,8,1,10,15,8,5,18,1,14,1,3,6,16,3,17,1,16,6,17,1,14,3,17,2,16,2,17,1,14,7,15,1,14,35,17,2,14,27,15,5,7,1,14,1,7,2,15,1,7,2,14,5,15,2,8,2,15,1,14,12,15,3,18,2,15,5,14,39,15,2,14,35,15,5,7,4,14,3,7,1,15,4,14,5,15,4,14,4,15,2,14,3,15,3,18,17,8,6,18,2,8,79,10,1,8,8,10,10,8,5,10,23,8,15,10,5,8,1,10,17,8,2,10,40,8,6,10,13,8,4,10,40,8,4,10,14,8,5,10,6,8,1,10,3,8,15,10,1,8,5,10,24,8,8,10,5,8,12,10,6,8,4,10,22,8,5,10,2,8,5,10,36,8,3,10,48,8,4,10,148,8,2,10,2,8,7,10,17,8,5,10,4,8,5,10,3,4,6,19,5,4,3,19,3,4,761,},
{4,691,18,1,3,6,16,1,3,1,14,1,15,1,8,1,9,1,8,1,9,3,8,2,10,1,8,2,14,2,16,1,17,1,14,4,17,1,16,4,17,3,16,6,6,1,15,1,18,1,14,5,15,1,14,4,17,1,16,1,17,1,14,3,16,5,14,2,15,1,8,2,15,1,14,4,18,1,8,1,15,1,14,1,16,12,17,3,16,77,17,1,14,3,16,12,17,1,14,1,17,1,16,5,14,1,9,1,10,2,8,1,14,1,3,3,14,1,15,1,8,1,9,1,8,3,15,2,14,1,16,2,14,3,15,4,14,1,17,1,16,8,17,1,14,11,3,4,14,2,8,1,9,1,10,1,9,1,15,1,14,1,3,1,14,2,15,2,14,2,16,1,14,3,15,3,14,1,16,2,14,4,15,2,8,2,10,8,8,1,15,1,14,1,16,45,17,1,14,10,16,66,17,1,14,4,15,3,14,4,3,2,14,3,15,1,8,3,15,6,14,5,15,1,8,2,10,2,8,6,18,2,8,3,10,15,8,2,10,7,8,1,18,2,8,2,14,3,3,1,14,3,8,6,15,3,14,15,18,1,8,1,10,16,8,6,15,1,14,1,3,5,16,11,17,2,16,4,17,2,14,41,17,4,14,27,15,3,8,1,15,1,7,1,14,2,7,3,14,7,15,1,8,1,15,2,14,14,15,1,18,3,15,2,14,41,15,3,14,2,15,6,14,27,7,3,15,1,7,6,14,1,7,1,15,4,14,6,15,3,14,4,15,2,14,4,15,2,18,4,8,2,18,9,8,4,18,6,8,89,10,9,8,5,10,23,8,16,10,22,8,2,10,41,8,3,10,15,8,4,10,4,8,2,10,27,8,1,10,27,8,2,10,6,8,2,10,3,8,14,10,1,8,3,10,25,8,5,10,1,8,3,10,6,8,11,10,5,8,6,10,13,8,2,10,6,8,5,10,2,8,4,10,12,8,2,10,23,8,3,10,39,8,1,10,6,8,4,10,22,8,1,10,28,8,2,10,125,8,4,10,5,8,4,18,1,8,1,10,2,4,2,19,10,4,2,19,5,4,759,},
{4,691,18,1,3,2,14,4,17,1,14,3,15,1,8,1,10,4,8,2,10,2,8,1,15,1,14,1,17,4,14,2,17,1,16,4,17,3,16,6,17,1,14,1,15,1,14,4,15,2,14,4,17,3,14,3,16,3,17,2,14,2,15,1,8,2,14,2,16,1,3,1,14,1,15,1,8,1,15,1,14,1,16,12,17,3,16,68,17,1,16,8,17,1,14,3,16,12,17,1,14,2,16,5,14,1,8,1,9,1,8,1,14,1,3,1,16,1,3,3,14,6,15,1,8,1,15,1,16,2,17,1,14,1,15,4,14,2,16,7,17,2,14,18,15,1,9,2,8,1,14,13,15,3,14,1,16,2,14,4,15,1,8,1,9,1,10,5,8,2,10,2,8,1,15,1,14,1,16,49,14,4,15,1,14,2,16,66,17,1,14,5,15,1,14,4,3,5,14,1,15,1,8,3,15,1,14,1,15,5,14,4,15,1,8,2,10,1,8,18,10,9,8,2,10,7,8,1,18,2,8,2,14,2,3,3,14,2,15,1,8,4,15,4,14,15,8,1,10,16,8,7,18,1,14,1,3,5,16,15,17,2,14,1,17,1,14,40,17,3,16,1,17,1,14,28,15,2,8,1,15,1,7,1,14,1,7,3,14,9,15,3,14,15,15,1,18,1,15,2,14,41,15,4,14,1,15,7,14,30,7,1,14,9,15,3,14,7,15,1,14,5,15,2,14,3,15,3,18,2,8,6,18,1,8,105,10,10,8,4,10,26,8,7,10,3,8,3,10,6,8,2,10,13,8,5,10,58,8,3,10,3,8,4,10,2,8,1,10,21,8,4,10,35,8,3,10,3,8,9,10,4,8,3,10,25,8,4,10,3,8,2,10,11,8,3,10,8,8,6,10,21,8,6,10,2,8,2,10,87,8,4,10,21,8,2,10,6,8,2,10,20,8,2,10,125,8,4,10,5,8,4,18,4,4,2,19,18,4,758,},
{4,691,18,1,3,1,14,9,15,1,8,1,9,1,10,3,8,2,10,3,8,1,14,3,16,3,14,2,16,4,17,4,16,6,14,12,17,2,14,2,17,1,16,3,14,5,15,1,8,1,15,1,14,2,16,2,14,1,15,1,8,1,15,1,14,2,16,9,17,4,16,63,14,3,17,1,16,2,17,1,16,8,17,1,14,2,17,1,16,11,17,1,14,1,15,2,14,1,16,5,14,1,15,1,14,2,16,2,3,1,14,1,3,1,16,5,3,1,15,1,10,1,8,1,14,1,16,2,14,1,8,2,15,1,14,1,17,1,16,8,17,1,14,2,15,1,14,4,15,3,14,6,3,1,14,2,15,1,8,2,15,1,14,4,15,1,14,6,15,1,14,4,16,3,14,1,15,1,14,2,15,1,8,1,9,1,10,2,8,1,10,2,8,2,10,3,15,1,14,1,16,50,14,2,15,1,14,2,16,41,17,1,14,2,17,1,16,22,17,1,14,9,3,6,14,2,15,1,8,1,15,2,14,1,15,6,14,3,15,1,8,21,10,9,8,2,10,7,8,1,18,2,8,1,15,2,14,1,3,1,16,2,3,1,14,2,8,3,15,1,14,11,3,2,14,5,18,1,9,1,10,16,8,1,18,2,8,4,18,1,14,1,3,5,16,14,17,2,14,3,17,1,14,37,17,7,14,28,15,5,7,1,15,1,7,2,14,27,15,1,18,1,15,2,14,41,15,3,14,3,15,6,14,62,15,3,8,115,10,17,8,2,10,18,8,7,10,5,8,2,10,6,8,3,10,5,8,2,10,5,8,6,10,57,8,4,10,1,8,5,10,24,8,3,10,30,8,2,10,5,8,2,10,5,8,7,10,4,8,3,10,25,8,4,10,23,8,3,10,1,8,8,10,14,8,1,10,4,8,9,10,87,8,4,10,21,8,3,10,6,8,1,10,21,8,1,10,90,8,3,10,33,8,4,10,2,8,2,10,4,8,1,18,4,4,2,19,18,4,758,},
{4,685,19,2,4,4,18,2,15,2,14,8,15,1,8,1,10,2,8,3,10,3,8,2,14,2,17,1,16,2,14,2,16,4,17,3,16,8,3,3,14,8,17,1,14,2,17,1,16,3,14,1,15,1,8,1,15,2,14,1,15,3,14,2,3,2,14,1,15,3,14,2,16,9,17,1,16,65,17,1,14,1,15,1,14,2,16,11,17,1,14,2,17,1,16,11,14,1,15,1,8,2,14,1,16,5,14,3,16,3,14,2,3,1,16,6,14,1,10,2,14,1,16,1,17,1,14,1,8,2,14,1,16,5,17,2,16,3,17,1,14,1,15,2,14,4,15,1,8,1,15,2,14,5,3,1,14,2,15,1,8,2,15,1,14,2,15,1,8,2,15,1,14,7,17,1,16,4,14,1,15,1,8,1,14,2,15,2,8,3,10,2,8,3,10,3,8,1,14,1,16,3,14,2,16,45,14,2,15,1,14,1,16,41,6,1,14,1,15,2,8,1,15,1,17,1,16,20,14,10,3,2,16,1,3,3,14,2,15,3,14,3,15,3,8,1,15,1,14,3,15,1,8,15,18,4,8,3,10,8,8,1,18,1,10,7,8,4,15,2,14,1,3,1,16,3,14,2,8,3,15,1,14,11,3,3,14,4,18,1,10,5,8,1,10,10,8,2,18,3,8,3,18,1,14,1,3,4,16,15,17,1,14,4,17,2,14,36,17,7,14,28,15,8,7,1,14,27,15,3,14,43,15,1,14,7,15,3,14,62,15,3,8,52,18,5,8,57,10,16,8,5,10,17,8,7,10,5,8,2,10,6,8,3,10,6,8,1,10,5,8,6,10,56,8,11,10,49,8,1,10,7,8,2,10,5,8,2,10,6,8,6,10,4,8,3,10,6,8,3,10,17,8,3,10,23,8,3,10,2,8,5,10,1,8,1,10,14,8,2,10,2,8,10,10,86,8,4,10,17,8,8,10,118,8,5,10,4,8,1,10,28,8,2,10,4,8,1,10,5,8,1,18,1,4,3,19,18,4,759,},
{4,684,19,4,4,1,18,5,15,1,14,9,8,7,10,4,8,1,15,1,14,1,16,6,17,1,14,1,17,2,16,12,14,8,17,2,14,1,16,3,17,1,14,1,8,3,15,1,14,2,15,3,14,4,15,2,14,2,16,76,14,1,15,1,8,1,15,1,14,1,16,11,17,1,14,1,17,1,16,11,17,1,7,1,8,2,15,1,14,1,16,6,14,2,16,3,14,2,3,1,16,6,14,1,8,2,14,1,17,1,14,2,8,2,14,1,16,5,14,3,17,1,16,1,17,1,14,2,15,1,14,4,15,1,8,1,15,2,14,4,3,1,16,1,3,1,14,1,15,1,8,2,15,1,14,2,15,3,14,7,17,1,16,4,14,1,15,1,8,2,15,1,14,1,15,3,8,2,10,3,8,2,10,3,8,1,14,1,16,3,14,2,16,45,14,4,16,40,17,1,14,1,8,1,9,1,10,2,8,1,14,1,16,20,17,3,3,2,14,4,3,2,16,3,3,2,14,7,15,3,8,3,15,1,14,2,15,1,18,1,8,3,18,1,8,5,18,3,8,1,18,5,8,3,10,8,8,3,10,1,8,1,10,7,8,2,15,1,14,1,3,1,16,3,14,1,15,1,8,3,15,1,14,12,3,2,14,4,18,1,10,4,8,2,10,6,8,6,18,3,8,4,18,1,14,1,3,5,16,13,17,1,14,2,17,2,16,1,17,1,14,36,17,6,14,30,15,7,7,1,14,12,15,1,14,15,15,1,14,6,3,2,14,110,15,3,8,51,18,7,8,55,10,17,8,4,10,16,8,8,10,5,8,2,10,7,8,1,10,7,8,1,10,6,8,5,10,56,8,11,10,48,8,2,10,7,8,2,10,5,8,2,10,15,8,4,10,6,8,4,10,17,8,1,10,23,8,4,10,3,8,4,10,16,8,2,10,2,8,10,10,11,8,2,10,71,8,5,10,18,8,7,10,119,8,4,10,4,8,3,10,20,8,3,10,18,4,3,19,16,4,1,19,1,4,759,},
{4,684,19,4,4,1,18,5,15,1,14,5,7,2,14,2,15,1,8,6,10,4,9,1,8,1,14,2,16,5,14,3,17,1,16,12,17,1,14,5,17,4,16,4,14,1,15,1,8,3,15,1,14,3,15,2,8,1,15,5,14,1,17,1,16,22,17,3,16,51,14,1,15,1,8,1,15,1,14,1,16,11,14,3,16,11,14,1,8,1,9,1,8,1,14,1,16,6,17,1,14,2,17,1,16,1,14,3,16,8,14,5,15,1,8,1,14,1,16,5,14,1,15,2,14,10,15,5,14,2,3,2,16,2,3,1,14,1,15,1,9,2,15,1,14,6,17,5,14,1,16,5,14,1,15,1,8,1,15,1,14,2,15,1,8,2,9,1,10,4,8,2,10,3,8,1,14,1,16,3,14,2,16,46,14,8,16,35,14,1,15,1,9,2,10,2,8,1,6,1,16,26,3,1,14,3,3,1,16,4,3,1,14,7,15,3,8,3,14,4,15,1,18,4,8,4,18,1,15,2,18,1,8,9,10,2,8,2,10,16,8,2,15,1,14,2,16,2,3,1,14,1,15,1,8,3,15,1,14,5,17,2,14,6,3,1,14,3,15,1,18,1,10,4,8,2,10,6,8,14,18,1,14,1,3,3,14,2,17,1,16,12,17,1,3,1,17,1,16,3,3,1,14,8,17,1,14,26,17,3,14,34,15,5,7,3,14,10,15,3,14,14,15,1,14,6,3,1,14,70,15,5,7,1,14,7,7,3,14,14,7,2,14,10,15,3,8,49,18,8,8,48,10,1,8,1,10,1,8,3,10,6,8,3,10,10,8,2,10,16,8,9,10,4,8,3,10,15,8,1,10,8,8,3,10,56,8,11,10,48,8,2,10,7,8,3,10,4,8,2,10,12,8,7,10,6,8,4,10,41,8,4,10,3,8,3,10,11,8,1,10,3,8,3,10,1,8,1,10,3,8,7,10,11,8,5,10,5,8,1,10,62,8,5,10,23,8,2,10,16,8,2,10,103,8,2,10,5,8,3,10,20,8,4,10,17,4,2,19,17,4,761,},
{4,684,19,4,4,1,18,4,15,2,14,4,7,3,14,3,15,1,8,6,10,4,9,1,15,1,14,1,3,1,16,3,3,1,14,3,16,16,17,6,16,4,17,1,14,1,15,4,14,5,8,2,15,5,14,1,17,1,16,21,17,1,6,2,17,1,16,51,17,1,14,2,15,1,14,1,16,4,17,1,16,6,14,3,16,10,17,1,14,1,8,2,14,1,16,7,14,7,17,1,16,10,17,1,14,4,17,1,16,5,14,2,15,2,14,8,15,6,14,2,3,1,16,3,3,1,14,1,15,1,8,1,15,1,14,2,16,10,17,1,16,4,17,1,15,3,14,3,15,1,9,1,10,2,9,1,10,4,9,1,8,2,9,1,8,1,14,6,16,47,14,3,15,4,14,1,16,34,14,1,15,1,9,4,15,1,17,1,16,28,3,2,16,5,3,5,14,3,15,4,8,2,14,4,15,4,18,1,8,3,18,1,15,1,14,1,15,1,18,1,8,13,10,16,8,2,15,1,14,2,3,1,14,3,8,2,10,1,8,1,15,1,14,5,16,2,14,10,15,1,18,1,8,1,10,2,8,3,10,5,8,3,18,1,8,8,10,2,8,2,18,1,14,1,3,2,14,3,17,1,16,11,17,2,16,4,14,9,17,1,14,65,7,5,14,11,15,5,14,90,15,4,14,8,7,5,14,14,7,1,14,9,7,3,8,50,18,8,8,48,10,3,8,3,10,23,8,3,10,11,8,10,10,4,8,2,10,15,8,4,10,5,8,5,10,54,8,11,10,48,8,2,10,7,8,3,10,4,8,6,10,7,8,8,10,7,8,1,10,37,8,2,10,3,8,5,10,3,8,3,10,12,8,4,10,8,8,5,10,11,8,7,10,66,8,5,10,42,8,2,10,110,8,3,10,40,18,1,4,2,19,17,4,761,},
{4,684,19,4,4,1,18,3,15,4,14,4,7,2,14,3,15,1,8,8,9,3,8,1,15,1,3,1,16,4,3,1,14,1,16,19,17,4,16,4,17,1,14,6,3,2,14,2,15,2,14,3,15,2,7,1,14,1,16,22,17,1,16,55,14,3,16,3,14,2,17,1,16,5,14,3,16,9,14,3,7,1,14,1,16,7,14,2,15,1,14,3,16,14,17,2,16,8,17,1,14,2,15,2,14,6,15,8,14,1,3,1,16,3,3,1,14,2,15,1,14,2,16,11,17,1,16,4,14,1,15,2,14,1,16,2,14,1,8,1,10,3,8,1,10,5,8,4,15,2,14,3,16,48,14,3,15,4,14,1,17,1,16,33,14,1,15,1,9,2,8,1,15,1,14,1,16,36,3,3,16,2,14,7,15,2,14,5,15,3,18,1,8,2,18,2,15,2,18,1,8,14,10,12,8,2,10,2,8,2,15,1,14,5,15,1,8,1,10,2,8,1,15,1,14,4,17,1,16,2,17,1,14,9,15,1,18,2,9,1,10,1,8,3,10,5,8,3,18,1,8,9,10,2,8,2,14,1,3,2,14,4,16,11,17,1,3,1,17,1,16,2,17,1,14,75,7,4,14,13,15,4,14,13,15,2,14,74,15,4,14,9,7,5,14,24,7,2,8,51,18,8,8,54,10,10,8,8,10,3,8,6,10,10,8,9,10,22,8,6,10,2,8,8,10,52,8,11,10,15,8,3,10,30,8,2,10,6,8,3,10,5,8,8,10,4,8,7,10,46,8,11,10,4,8,2,10,24,8,5,10,12,8,7,10,49,8,1,10,14,8,5,10,43,8,3,10,109,8,3,10,27,8,2,10,9,9,1,18,2,4,2,19,18,4,3,19,4,4,753,},
{4,685,19,3,4,1,18,2,14,2,15,3,7,3,14,1,7,1,14,4,15,1,8,1,10,2,8,4,15,3,8,2,15,1,14,1,16,9,17,1,14,2,17,1,16,13,17,4,16,3,17,1,14,7,3,2,14,6,7,3,14,1,17,1,16,83,14,1,15,1,14,1,16,5,14,3,16,9,14,1,7,1,14,1,17,1,16,7,14,2,15,2,14,2,17,1,16,26,14,2,15,2,14,5,15,8,14,1,3,1,16,2,3,3,14,3,16,3,17,2,16,6,17,2,16,4,14,7,8,1,10,1,9,1,8,1,18,1,8,1,10,4,8,6,15,2,14,1,16,47,14,5,15,1,8,1,15,2,14,1,16,33,14,1,15,3,14,2,16,37,3,2,16,3,3,1,14,7,15,1,14,7,15,2,18,3,15,2,18,1,8,3,10,2,8,10,10,11,8,7,15,1,14,4,15,1,8,5,15,1,14,4,17,1,16,2,17,1,14,9,15,1,18,2,8,4,10,6,8,4,18,7,8,6,14,1,3,2,14,4,17,1,16,10,14,3,17,2,3,1,14,75,7,3,14,14,15,4,14,13,15,3,14,73,15,2,14,11,7,5,14,15,7,1,14,6,7,3,8,23,18,1,8,22,18,3,8,3,18,3,8,60,10,9,8,9,10,1,8,7,10,9,8,10,10,22,8,17,10,51,8,11,10,13,8,6,10,30,8,1,10,5,8,1,10,1,8,1,10,7,8,10,10,1,8,7,10,45,8,11,10,5,8,2,10,25,8,4,10,12,8,7,10,60,8,7,10,9,8,1,10,31,8,1,10,107,8,3,10,6,8,2,10,28,8,3,10,5,18,5,4,3,19,17,4,2,19,6,4,752,},
{4,689,18,1,3,2,14,1,15,4,7,5,14,3,7,1,8,1,10,2,8,3,15,2,14,1,15,4,14,1,3,1,16,8,14,4,16,13,17,4,16,4,17,1,14,10,3,1,16,2,17,1,7,4,17,1,16,61,17,1,14,2,16,19,17,1,14,2,16,5,17,1,14,2,16,8,17,1,14,2,17,1,16,8,14,1,15,3,14,1,17,1,16,28,14,1,15,3,14,4,15,6,8,1,15,1,14,2,16,2,3,3,16,4,14,2,15,2,14,1,16,5,17,2,16,5,14,5,15,1,8,2,14,2,18,1,8,1,10,4,9,1,8,1,9,4,8,1,15,1,14,1,16,46,14,4,17,1,14,1,15,2,8,1,15,1,14,1,17,1,16,32,14,5,16,43,3,1,14,7,15,2,14,6,15,2,18,3,15,2,8,3,10,2,8,2,18,4,8,5,10,10,8,2,18,2,8,4,15,2,14,3,15,1,8,4,15,1,14,5,16,3,17,1,14,9,15,1,18,3,8,3,10,5,8,5,18,4,15,3,18,2,8,3,18,1,14,1,3,2,14,3,3,7,16,2,3,3,14,3,3,2,14,76,7,3,14,15,15,2,14,14,15,4,14,72,15,2,14,12,7,5,14,6,7,1,14,7,7,10,8,45,18,4,8,4,18,2,8,60,10,10,8,16,10,5,8,14,10,22,8,17,10,51,8,1,10,3,8,7,10,13,8,7,10,9,8,1,10,22,8,4,10,10,8,16,10,45,8,11,10,6,8,4,10,23,8,4,10,13,8,5,10,60,8,7,10,9,8,2,10,4,8,1,10,25,8,2,10,84,8,1,10,21,8,6,10,3,8,2,10,30,18,1,8,1,10,3,9,1,10,1,18,5,4,6,19,14,4,2,19,6,4,752,},
{4,689,18,1,3,1,14,4,7,4,8,2,7,1,14,2,7,2,8,7,14,4,15,3,14,1,3,3,16,5,14,6,17,1,16,2,17,1,14,1,17,1,16,6,17,3,16,5,14,2,15,3,14,3,3,2,16,3,17,1,6,1,7,2,17,1,16,38,17,2,16,20,17,2,14,4,16,19,14,2,16,5,17,1,14,1,17,1,16,8,14,3,16,8,14,2,15,3,14,1,16,29,14,1,15,3,14,1,3,1,14,5,15,3,8,1,15,1,14,2,3,2,14,1,3,2,16,3,14,2,15,1,8,1,15,1,14,1,16,7,17,1,16,4,17,1,14,1,15,2,14,2,15,1,14,2,3,1,18,1,9,1,10,9,9,2,15,1,14,1,16,44,17,1,14,4,16,3,14,2,15,3,14,1,16,31,17,1,14,3,16,45,14,4,3,2,14,2,15,4,14,6,15,4,18,1,8,3,10,2,8,1,18,1,15,1,14,2,15,1,18,1,8,4,10,2,8,1,10,7,8,1,18,3,8,1,10,2,8,1,15,1,14,4,15,3,14,7,17,1,16,3,3,1,14,6,15,2,14,2,18,3,8,2,10,6,8,5,18,2,14,6,15,1,18,3,14,3,3,1,14,1,3,4,16,1,3,8,14,3,3,4,14,54,7,2,14,20,7,2,14,4,7,3,14,24,15,4,14,59,15,2,14,10,15,3,14,16,7,1,14,7,7,3,14,2,7,11,8,46,18,1,14,2,18,2,8,3,18,2,8,60,10,10,8,16,10,5,8,18,10,18,8,5,10,3,8,8,10,57,8,6,10,12,8,5,10,1,8,3,10,6,8,3,10,22,8,4,10,11,8,12,10,48,8,10,10,5,8,2,10,1,8,5,10,21,8,4,10,13,8,5,10,59,8,3,10,13,8,2,10,2,8,5,10,109,8,4,10,18,8,9,10,38,18,7,4,7,19,13,4,2,19,6,4,752,},
{4,689,18,2,14,6,7,1,8,4,7,1,14,1,7,2,8,7,15,1,14,3,15,4,14,2,3,4,16,2,3,1,14,12,17,1,16,4,17,2,16,4,17,1,14,2,8,1,10,2,8,1,15,1,14,3,16,4,17,1,6,2,17,1,16,38,17,3,16,20,17,1,14,2,15,2,14,1,16,20,17,1,16,5,17,1,14,1,17,1,16,8,14,2,16,9,14,3,8,1,15,1,14,1,16,25,17,1,16,3,14,1,15,3,14,1,16,1,14,6,15,2,8,1,15,2,14,2,3,2,14,2,3,2,14,3,15,2,14,1,16,13,17,1,14,1,15,2,14,1,16,1,14,4,8,1,10,3,9,1,10,6,9,1,8,1,15,1,14,1,16,43,14,7,16,3,14,2,15,2,14,1,16,30,17,1,14,3,16,25,17,1,16,11,14,1,16,8,14,4,3,2,14,2,15,1,8,1,15,2,14,1,3,3,14,4,15,2,18,2,8,5,18,1,14,4,18,1,8,4,10,2,8,1,10,4,8,4,18,2,8,1,10,3,8,1,15,1,14,14,16,3,17,1,14,6,15,3,14,2,18,3,8,2,10,5,8,6,18,2,14,3,3,1,14,2,15,4,14,3,3,5,16,3,3,6,14,3,3,5,14,54,7,2,14,24,7,2,15,4,7,1,14,14,15,3,14,5,15,2,8,1,15,2,14,58,15,2,14,10,15,3,14,24,7,17,8,44,18,1,15,1,14,3,18,1,8,3,18,8,8,54,10,9,8,10,10,3,8,3,10,6,8,19,10,3,8,4,10,10,8,1,10,8,8,5,10,59,8,6,10,12,8,4,10,3,8,2,10,6,8,1,10,16,8,3,10,5,8,3,10,12,8,10,10,50,8,9,10,5,8,3,10,1,8,6,10,7,8,9,10,3,8,6,10,12,8,4,10,2,8,3,10,54,8,4,10,10,8,4,10,2,8,6,10,45,8,3,10,40,8,1,10,20,8,5,10,17,8,12,10,26,8,4,10,4,18,8,4,20,19,8,4,752,},
{4,684,19,2,4,3,18,3,15,1,14,5,15,1,8,3,7,1,14,2,7,2,8,7,15,5,18,2,15,2,14,3,3,2,16,2,14,4,15,1,8,1,15,5,14,2,17,2,16,1,17,1,16,5,14,3,8,1,10,4,8,1,15,1,14,2,3,1,16,69,17,1,14,1,15,2,14,1,16,26,17,1,14,1,16,9,14,1,17,1,16,8,14,4,15,2,14,1,16,24,17,1,14,2,16,2,14,1,15,2,14,1,16,2,14,5,15,6,14,13,17,1,16,9,17,1,14,1,16,3,14,1,15,1,14,1,16,2,14,3,15,1,8,1,9,4,10,6,9,1,15,1,14,2,16,42,14,8,16,3,17,1,14,2,15,2,14,1,16,28,17,1,14,3,16,26,17,2,16,10,17,1,16,8,14,4,3,3,14,2,15,3,14,1,3,4,14,3,15,1,18,4,8,4,18,1,15,1,14,3,18,1,8,5,10,1,8,1,10,4,8,5,18,1,8,1,10,3,8,2,15,1,14,5,17,1,16,3,14,3,16,3,17,1,14,3,3,2,14,2,15,3,14,1,15,1,18,1,8,3,10,6,8,6,18,2,14,6,15,5,14,5,3,12,14,3,3,4,14,54,7,2,14,20,7,1,14,5,7,1,15,2,8,2,15,2,14,12,15,3,14,5,15,5,14,72,7,1,14,4,7,7,14,12,7,21,8,41,18,2,14,2,18,2,8,3,18,9,8,53,10,5,8,5,10,5,8,5,10,12,8,18,10,3,8,4,10,83,8,7,10,5,8,1,10,5,8,4,10,3,8,1,10,25,8,1,10,6,8,3,10,15,8,4,10,53,8,9,10,9,8,22,10,3,8,5,10,14,8,7,10,54,8,4,10,10,8,12,10,47,8,4,10,59,8,6,10,16,8,8,10,2,8,5,10,24,8,2,18,1,9,2,18,1,8,1,18,2,9,1,10,1,9,1,10,1,9,1,10,1,4,20,19,8,4,752,},
{4,684,19,4,4,3,18,2,14,4,15,1,14,8,7,2,8,14,15,1,14,4,3,3,14,4,15,1,8,6,15,1,14,5,16,4,14,2,15,1,8,1,10,4,9,1,8,1,15,2,14,2,3,1,16,69,14,1,15,2,14,1,16,37,17,1,16,9,14,7,16,13,14,2,16,8,17,3,14,7,16,2,14,2,3,1,14,2,15,4,14,16,16,9,17,1,14,1,16,3,14,5,15,5,18,2,9,1,10,7,9,1,15,2,14,3,16,40,17,2,14,3,17,4,16,1,17,1,14,4,15,2,14,2,16,25,17,1,14,1,15,1,14,1,16,49,17,1,14,2,16,3,14,8,3,2,14,2,15,2,18,4,8,3,18,1,8,1,18,3,15,1,18,3,15,1,18,1,8,4,10,4,8,6,10,2,8,2,9,1,8,1,15,1,14,2,3,1,16,4,17,1,14,1,17,1,16,5,14,2,3,3,14,2,15,2,14,1,15,2,8,1,10,1,8,1,9,1,10,6,8,1,10,3,8,1,18,13,8,4,15,1,14,3,3,12,14,2,3,4,14,73,7,1,15,2,14,6,7,1,15,1,8,4,14,18,15,2,14,27,7,3,14,50,7,13,14,7,7,4,14,3,7,14,8,6,18,5,8,32,18,3,8,6,18,3,8,4,18,4,8,49,10,6,8,8,10,3,8,4,10,12,8,18,10,2,8,1,10,15,8,2,10,69,8,9,10,3,8,2,10,6,8,3,10,36,8,4,10,14,8,4,10,8,8,2,10,42,8,10,10,10,8,21,10,2,8,5,10,16,8,4,10,55,8,3,10,9,8,5,10,1,8,7,10,26,8,1,10,86,8,4,10,17,8,6,10,5,8,6,10,23,8,1,18,4,8,2,10,1,8,4,10,2,4,17,10,1,4,2,19,12,4,748,},
{4,684,19,5,4,3,18,2,15,4,14,7,17,1,14,1,7,2,8,4,10,4,9,1,8,2,9,2,8,1,18,2,15,1,14,2,3,2,17,1,14,3,7,1,8,1,10,2,8,4,15,2,14,4,16,2,14,1,15,1,8,1,10,5,9,1,8,2,15,2,14,2,16,54,17,2,16,14,17,1,14,3,16,21,17,1,14,2,16,11,17,1,14,1,17,1,16,9,14,1,15,1,14,5,16,12,17,1,14,2,16,6,14,12,3,2,14,2,3,2,14,1,15,1,8,1,15,1,14,8,15,2,14,7,17,1,16,9,17,1,16,3,14,5,15,1,8,1,15,2,14,2,15,1,18,1,9,1,10,6,9,1,8,1,15,1,14,4,17,1,16,34,17,3,16,8,17,1,14,8,8,2,15,1,14,1,16,24,17,1,15,2,14,1,17,1,16,29,17,2,16,13,17,2,16,4,3,2,16,2,14,11,15,1,18,1,8,2,18,4,8,6,18,1,15,2,18,2,15,1,14,1,18,3,8,3,10,3,8,5,10,1,8,3,9,1,8,1,15,1,14,2,3,1,16,4,17,2,16,5,14,3,3,3,14,1,15,4,18,1,9,1,10,9,8,2,10,3,8,1,18,1,8,2,18,1,8,10,10,3,8,1,18,1,15,1,14,2,3,11,14,2,3,3,14,69,7,4,14,1,7,1,15,1,7,1,14,7,7,1,8,4,14,17,15,3,14,26,7,5,14,3,7,2,14,42,7,16,14,5,7,5,14,3,7,14,8,6,18,6,8,41,18,2,8,5,18,4,8,14,18,1,8,32,10,6,8,8,10,4,8,5,10,6,8,3,10,3,8,18,10,1,8,1,10,15,8,2,10,69,8,13,10,8,8,2,10,12,8,7,10,18,8,4,10,15,8,1,10,9,8,2,10,5,8,2,10,34,8,11,10,12,8,17,10,4,8,4,10,17,8,4,10,53,8,4,10,9,8,5,10,3,8,4,10,136,8,5,10,6,8,6,10,23,8,1,9,1,18,2,9,1,8,1,10,8,4,7,10,1,4,1,18,2,4,4,10,4,4,2,19,4,4,1,19,6,4,748,},
{4,684,19,5,4,4,18,2,8,3,15,1,14,5,17,3,14,1,7,2,8,2,10,5,9,1,8,2,10,2,9,1,8,2,15,1,14,2,3,1,16,1,17,1,14,3,15,1,8,1,10,2,9,1,8,3,15,4,14,4,15,1,8,1,10,4,9,1,8,2,15,2,14,3,17,1,16,54,17,1,6,1,16,15,17,2,16,21,14,4,16,10,17,1,14,4,17,1,16,7,14,7,17,1,16,11,17,1,14,2,16,5,14,2,15,1,14,8,15,2,14,4,3,1,14,2,15,4,14,7,15,2,14,7,17,1,16,13,17,1,14,4,15,4,14,3,18,2,8,3,9,1,10,3,9,1,15,1,14,5,16,34,17,1,16,10,17,1,14,7,15,2,8,1,15,1,14,1,17,1,14,1,16,23,14,1,15,2,14,1,16,29,17,2,16,11,17,1,14,2,17,1,16,4,3,1,14,14,15,1,8,3,18,1,15,2,18,1,8,5,18,1,14,3,15,1,18,2,15,1,14,3,18,2,8,2,10,3,8,4,10,1,8,4,15,1,14,5,17,1,16,7,14,5,16,2,3,1,14,1,15,4,8,1,10,9,8,3,10,3,8,16,10,2,8,2,15,1,14,2,3,15,14,5,15,3,14,64,7,1,14,14,7,1,15,2,14,4,15,1,14,6,15,2,14,3,15,4,14,26,7,11,14,41,7,13,14,8,7,5,14,4,7,14,8,6,18,5,8,48,18,4,8,47,10,6,8,8,10,5,8,4,10,5,8,4,10,3,8,21,10,14,8,2,10,70,8,12,10,9,8,1,10,2,8,4,10,5,8,8,10,19,8,2,10,26,8,2,10,41,8,11,10,12,8,13,10,8,8,3,10,18,8,4,10,54,8,3,10,9,8,5,10,3,8,4,10,136,8,5,10,7,8,5,10,23,8,3,10,13,18,1,10,1,18,1,10,2,8,1,9,1,8,1,9,1,10,8,18,1,4,1,19,4,4,1,19,6,4,748,},
{4,685,19,4,4,5,18,4,15,2,14,9,15,2,8,2,10,5,8,1,9,1,10,3,9,2,8,1,15,1,14,2,17,3,14,2,15,1,8,2,9,1,8,5,15,7,8,1,10,2,9,1,8,1,15,1,14,7,16,57,17,1,16,37,17,1,14,1,15,1,14,1,17,1,16,10,17,1,14,7,16,5,14,2,16,3,14,2,17,1,16,2,17,1,16,8,17,1,14,2,16,5,14,1,15,3,14,7,15,3,14,6,15,4,14,2,3,4,14,1,15,3,14,6,16,18,14,2,15,2,14,5,18,2,14,1,18,1,8,1,9,1,10,2,9,1,14,6,17,1,16,44,17,1,14,6,15,4,14,3,15,1,14,1,16,22,14,1,15,3,14,2,16,26,17,2,14,1,17,1,16,7,17,1,16,11,3,1,14,12,15,1,8,4,15,1,14,2,18,1,8,3,10,1,8,2,14,3,18,3,15,1,14,4,18,1,8,2,10,4,8,8,15,1,14,7,16,5,17,1,14,5,16,1,3,1,14,2,15,3,18,1,10,10,8,3,10,4,8,1,10,4,8,10,10,3,8,2,15,1,14,2,3,14,14,4,15,5,14,56,7,3,14,13,7,1,14,8,15,1,14,3,15,2,14,5,15,3,14,1,15,4,14,28,7,10,14,42,7,9,14,6,7,2,14,3,7,4,14,5,7,16,8,5,18,3,8,52,18,2,8,46,10,5,8,10,10,6,8,10,10,5,8,20,10,14,8,2,10,72,8,10,10,9,8,11,10,1,8,2,10,1,8,1,10,1,8,1,10,10,8,1,10,38,8,2,10,17,8,1,10,13,8,1,10,6,8,14,10,13,8,10,10,32,8,2,10,68,8,3,10,4,8,3,10,38,8,3,10,96,8,6,10,6,8,5,10,13,8,1,10,18,8,2,10,5,18,2,10,3,8,5,10,7,9,1,4,1,19,11,4,748,},
{4,686,19,4,4,5,18,8,14,1,15,2,8,2,15,2,14,1,15,1,18,1,8,1,10,11,8,1,15,1,14,2,3,4,14,2,15,1,8,2,15,4,8,2,15,2,14,2,15,2,8,2,15,2,14,1,16,103,17,1,14,1,15,1,14,1,16,11,14,8,16,5,17,1,14,1,16,17,17,1,14,1,6,1,16,5,14,2,15,2,14,3,17,1,16,1,14,3,15,1,14,8,15,3,14,2,3,4,14,1,15,3,14,6,16,17,17,1,14,3,15,2,14,8,15,1,8,1,10,1,9,1,8,1,14,1,3,1,16,1,14,3,17,1,16,42,17,2,16,1,17,1,14,3,15,5,14,4,15,2,17,1,16,21,14,1,15,2,8,1,15,1,14,2,16,26,17,1,14,2,17,1,16,20,14,11,15,1,8,3,15,1,14,3,18,1,8,6,18,1,15,1,18,1,8,3,18,1,14,4,18,1,8,2,10,3,8,8,15,1,14,4,15,2,14,2,3,1,16,5,14,5,3,2,14,1,18,1,8,1,18,3,10,9,8,4,10,4,8,1,10,4,8,11,10,3,9,1,8,1,15,1,14,2,3,9,14,10,15,4,14,55,7,3,14,12,7,1,15,2,14,7,15,2,14,3,15,1,14,5,15,1,14,3,15,4,14,27,7,5,14,1,7,5,14,32,7,1,14,7,7,9,14,8,7,3,14,3,7,4,14,4,7,17,8,52,18,1,8,6,18,3,8,62,10,6,8,8,10,2,8,1,10,4,8,18,10,14,8,2,10,73,8,9,10,9,8,15,10,1,8,2,10,9,8,2,10,38,8,3,10,14,8,4,10,7,8,2,10,1,8,24,10,13,8,8,10,138,8,1,10,11,8,4,10,96,8,7,10,6,8,4,10,26,8,2,10,4,8,3,10,4,8,1,18,1,8,1,10,3,8,4,10,7,9,1,4,1,19,11,4,748,},
{4,686,19,5,4,5,18,8,8,1,10,2,8,2,15,1,14,3,18,1,8,1,10,8,8,4,14,4,3,2,14,7,15,2,8,3,15,1,14,3,15,1,14,3,3,1,16,49,17,2,16,44,17,3,16,6,17,1,14,3,16,11,17,1,14,7,17,1,16,4,17,1,14,1,16,15,17,2,6,2,17,2,16,5,14,2,15,2,14,3,16,2,14,12,15,2,14,2,3,2,14,2,15,1,8,2,15,1,14,5,17,1,16,18,14,11,3,1,14,2,15,1,8,2,15,1,14,1,16,2,14,3,17,1,16,41,17,1,14,1,17,1,16,2,17,1,14,2,15,4,14,5,15,2,14,1,16,22,14,1,15,1,9,3,15,1,14,1,3,1,16,1,17,2,16,21,17,2,6,1,17,1,16,20,14,7,3,1,14,3,15,1,8,2,15,1,14,4,15,1,18,2,8,5,18,1,8,4,18,1,15,1,14,3,15,1,18,1,8,1,10,3,8,8,15,1,14,3,15,4,14,2,17,1,16,4,14,4,3,2,14,1,18,1,9,2,8,1,18,2,10,9,8,3,10,4,8,3,10,3,8,4,10,2,8,5,10,4,9,1,8,2,18,1,14,2,3,6,14,13,15,3,14,54,7,2,14,13,7,1,15,2,7,1,14,6,15,2,14,3,15,1,14,10,15,2,14,29,7,3,14,4,7,3,14,30,7,5,14,3,7,8,14,10,7,4,14,3,7,4,14,3,7,18,8,52,18,2,8,5,18,1,15,1,18,1,8,5,18,2,8,55,10,7,8,5,10,2,8,5,10,2,8,20,10,2,8,2,10,8,8,2,10,73,8,8,10,10,8,18,10,10,8,1,10,10,8,3,10,25,8,3,10,13,8,5,10,6,8,29,10,13,8,5,10,102,8,2,10,36,8,1,10,10,8,5,10,95,8,10,10,4,8,8,10,22,8,3,10,4,8,2,10,5,8,2,10,3,8,4,10,8,18,1,4,3,19,1,4,2,19,5,4,748,},
{4,686,19,5,4,13,10,5,8,1,15,1,14,3,18,1,8,1,10,5,8,5,15,1,14,6,3,1,14,6,15,2,8,3,14,6,3,2,16,50,6,2,17,1,16,53,17,1,14,2,16,12,14,3,17,1,14,3,16,5,14,2,16,14,17,1,14,2,6,1,17,3,16,6,14,2,15,1,14,3,17,1,16,2,14,6,15,1,14,4,15,3,14,1,3,2,14,1,15,2,8,2,15,2,14,4,16,19,14,4,15,6,14,2,3,1,14,2,15,2,14,1,3,1,16,3,14,2,16,42,17,1,14,1,17,1,16,2,17,1,14,2,15,3,14,7,15,2,14,1,16,21,14,2,8,1,9,2,8,1,15,1,14,2,15,1,7,1,17,1,16,22,17,2,16,20,14,7,3,2,14,2,15,1,8,2,15,1,14,4,15,3,18,1,8,7,10,1,8,2,18,1,15,1,14,3,18,1,8,1,10,3,8,6,10,1,8,2,15,1,14,2,15,4,14,3,16,5,14,5,15,1,8,1,10,2,9,1,18,2,10,8,8,3,10,4,8,5,10,2,8,4,10,3,8,1,18,2,8,1,10,6,8,2,15,1,14,2,3,3,14,17,15,1,14,70,15,2,7,1,14,5,15,3,14,14,15,2,14,30,7,2,14,37,7,1,15,3,7,2,14,2,7,7,14,11,7,4,14,3,7,13,14,2,7,10,8,52,18,2,8,5,18,1,15,2,18,1,8,4,18,2,8,55,10,8,8,3,10,3,8,21,10,2,8,9,10,7,8,1,10,74,8,8,10,10,8,18,10,19,8,7,10,23,8,3,10,13,8,4,10,7,8,29,10,14,8,3,10,103,8,2,10,30,8,2,10,15,8,4,10,95,8,24,10,22,8,3,10,15,8,4,10,8,9,1,18,2,4,4,19,5,4,748,},
{4,686,19,9,4,11,10,3,8,1,18,2,14,1,15,1,18,1,8,2,10,4,8,5,15,5,14,2,3,3,14,4,15,2,8,2,15,1,14,1,3,2,14,2,3,1,16,52,17,2,16,56,17,2,16,11,17,1,14,1,16,2,17,1,14,2,16,5,14,2,16,14,14,3,17,2,16,1,17,1,16,7,14,6,16,1,17,1,14,6,15,1,14,4,15,3,14,3,15,1,8,1,9,2,8,1,15,2,14,3,16,20,14,5,15,4,18,2,14,7,3,1,16,47,17,3,16,2,14,14,15,1,7,1,14,1,16,21,14,1,15,1,9,1,10,2,9,1,15,2,8,1,7,1,6,1,16,28,17,2,16,14,14,7,3,3,14,1,15,1,8,2,15,1,14,5,15,2,18,1,8,3,18,2,8,5,18,1,15,1,14,3,18,1,8,1,10,3,8,5,10,3,8,1,15,1,14,2,15,3,14,5,17,1,16,4,3,2,14,2,8,1,10,4,9,1,8,1,10,7,8,5,10,1,8,7,10,2,8,4,10,3,8,1,18,2,8,2,9,1,10,5,8,2,18,1,15,1,14,91,7,3,14,5,15,3,14,15,15,6,14,30,7,4,14,30,7,1,15,4,7,1,14,5,7,3,14,8,7,1,14,1,7,6,14,3,7,12,14,4,7,5,14,1,7,3,8,21,18,4,8,33,18,5,8,4,18,3,8,3,18,2,8,50,10,8,8,1,10,4,8,18,10,5,8,17,10,72,8,10,10,11,8,3,10,1,8,14,10,17,8,10,10,21,8,2,10,14,8,3,10,8,8,29,10,86,8,2,10,32,8,2,10,30,8,2,10,16,8,2,10,95,8,19,10,3,8,3,10,22,8,3,10,8,8,1,10,6,8,4,10,8,8,1,9,1,18,2,4,2,19,6,4,748,},
{4,690,19,10,4,8,10,2,9,1,18,2,8,2,10,2,8,13,18,1,15,1,14,1,3,2,14,5,15,1,18,1,8,2,15,1,3,4,14,1,3,2,16,86,17,1,16,22,17,4,16,9,17,1,14,1,16,9,17,1,14,2,17,1,16,1,17,1,16,11,14,3,17,1,16,2,17,1,16,8,14,5,17,1,14,7,15,1,14,4,15,3,14,3,15,1,8,1,9,2,8,1,15,3,14,2,16,20,14,1,17,1,14,3,15,4,18,2,15,1,14,6,3,1,14,2,16,48,17,1,14,15,15,2,7,1,16,21,14,1,15,1,9,1,10,2,9,1,8,1,15,2,14,1,17,1,16,29,17,1,16,8,17,2,16,4,14,7,3,2,14,2,15,1,8,3,14,5,15,1,18,1,8,3,18,1,15,1,14,1,15,1,8,4,18,1,15,1,14,3,15,1,8,1,10,3,8,5,10,3,8,1,18,1,15,1,14,13,16,3,14,2,8,1,9,1,10,12,8,1,18,2,8,10,10,2,8,3,10,4,8,1,18,3,8,2,9,1,8,10,18,1,15,3,14,17,15,1,14,10,15,3,14,55,7,2,14,5,15,3,14,16,7,1,15,3,7,1,14,20,7,2,14,1,7,2,14,1,7,9,14,30,7,1,15,2,7,1,14,15,7,10,14,9,7,5,14,6,7,3,14,3,7,2,8,21,18,4,8,32,18,3,8,7,18,3,8,3,18,3,8,50,10,7,8,1,10,4,8,5,10,2,8,11,10,5,8,17,10,69,8,1,10,1,8,11,10,11,8,2,10,3,8,16,10,14,8,4,10,1,8,6,10,10,8,1,10,36,8,28,10,87,8,2,10,32,8,2,10,29,8,3,10,113,8,11,10,2,8,7,10,3,8,4,10,2,8,1,10,17,8,2,10,8,8,3,10,5,8,5,10,7,8,3,10,1,4,2,19,6,4,748,},
{4,690,19,10,4,9,10,2,9,1,10,6,8,14,18,1,14,1,15,1,14,4,18,3,8,1,18,1,14,1,3,3,14,3,3,2,16,84,17,1,14,2,16,22,17,3,16,9,17,2,16,10,14,2,16,2,14,1,17,1,16,11,17,3,16,2,17,1,16,9,14,18,15,2,14,3,15,1,8,1,9,2,8,1,15,3,14,2,3,1,16,21,17,1,14,2,15,3,18,4,15,1,14,8,16,48,17,1,14,11,15,2,14,2,15,3,17,1,16,20,14,1,15,1,9,1,10,3,8,1,15,2,6,1,16,44,17,1,14,7,3,3,14,1,15,1,8,3,15,1,14,4,15,1,18,1,8,3,15,1,14,3,18,1,8,3,18,1,15,1,14,3,18,1,8,1,10,4,8,4,10,3,9,1,8,2,15,1,14,12,3,1,16,1,3,1,14,1,15,1,8,1,10,13,8,1,18,3,8,7,18,1,8,2,10,8,8,1,18,1,14,1,15,1,18,1,8,2,18,5,8,8,15,1,14,2,15,3,14,12,15,1,14,10,15,3,14,54,7,1,15,1,7,1,14,4,15,2,8,1,15,2,14,1,15,1,14,14,7,2,15,1,7,2,14,5,7,1,14,13,7,3,14,3,7,9,14,31,15,2,7,1,14,15,7,10,14,10,7,4,14,6,7,3,14,3,7,2,8,14,18,2,8,5,18,3,8,25,18,1,8,6,18,3,8,9,18,1,8,4,18,3,8,50,10,5,8,3,10,5,8,4,10,2,8,13,10,3,8,18,10,67,8,14,10,11,8,2,10,4,8,16,10,19,8,6,10,10,8,1,10,34,8,29,10,26,8,2,10,59,8,1,10,32,8,3,10,29,8,3,10,56,8,1,10,56,8,11,10,2,8,7,10,4,8,7,10,26,8,2,10,7,8,4,10,8,8,3,10,1,4,1,19,6,4,748,},
{4,690,19,10,4,10,18,1,9,1,10,6,8,6,10,3,8,5,18,2,8,1,18,1,14,3,15,1,18,4,15,1,14,1,3,2,14,6,17,1,16,82,14,3,16,12,17,2,16,8,17,1,16,11,17,2,16,14,14,1,17,1,16,4,17,2,16,7,17,4,16,9,17,1,14,9,17,2,14,6,15,2,14,4,8,1,9,2,8,1,15,3,14,2,3,1,16,22,14,2,15,1,8,1,15,2,18,1,8,1,18,2,15,3,14,5,16,49,17,5,14,5,15,1,8,1,15,1,14,4,15,1,17,1,16,20,14,1,15,1,9,1,10,3,8,1,15,1,14,1,16,46,14,7,3,3,14,2,15,1,8,2,15,1,14,3,15,3,18,1,8,2,15,1,14,2,15,1,8,3,18,2,15,1,14,3,18,1,8,1,10,4,8,4,10,4,9,1,8,1,18,1,14,5,15,6,14,2,3,1,14,2,8,1,10,14,8,1,18,3,8,3,18,5,8,2,10,8,8,1,15,1,14,2,15,1,18,8,8,7,18,1,15,6,14,11,15,1,14,11,15,1,14,55,15,3,14,4,15,2,8,2,15,1,14,1,15,1,14,14,7,4,14,20,7,3,14,4,7,9,14,14,7,1,14,2,7,1,14,12,15,2,7,1,14,16,7,9,14,12,7,3,14,5,7,4,14,2,7,2,8,14,18,2,8,6,18,2,8,33,18,2,8,14,18,3,8,58,10,5,8,3,10,3,8,34,10,4,8,4,10,59,8,4,10,4,8,6,10,17,8,16,10,3,8,3,10,14,8,5,10,11,8,2,10,24,8,3,10,5,8,11,10,6,8,12,10,25,8,4,10,79,8,6,10,6,8,3,10,30,8,1,10,57,8,1,10,56,8,10,10,2,8,8,10,4,8,8,10,24,8,2,10,10,8,1,10,9,8,3,10,1,18,1,19,6,4,748,},
{4,691,19,8,4,11,18,3,10,6,8,4,10,5,8,2,9,2,8,1,9,2,8,1,15,1,14,1,18,3,8,3,18,2,14,3,15,5,14,2,16,80,17,1,14,2,17,1,16,11,17,2,16,21,17,2,16,14,14,2,16,4,17,2,16,7,17,1,14,3,16,9,17,1,14,8,16,3,14,9,3,1,14,2,15,1,8,2,15,2,14,6,16,21,14,2,15,1,8,1,15,1,18,2,8,2,18,1,8,1,18,1,15,2,14,4,16,54,14,4,15,2,8,1,15,1,14,5,17,1,16,18,14,3,15,1,9,1,10,3,8,1,15,1,14,1,16,45,17,1,14,7,3,4,14,1,15,4,14,3,15,2,14,1,15,1,18,3,15,2,18,1,8,2,18,1,15,3,14,2,15,1,18,1,8,1,10,5,8,3,10,6,8,1,15,1,14,3,15,4,8,3,15,1,14,3,15,1,8,1,10,8,8,2,9,1,10,4,8,1,18,1,8,4,18,5,8,2,10,7,8,1,18,1,14,4,15,1,18,8,8,6,18,1,15,2,18,1,8,1,15,2,14,78,15,2,8,1,7,1,14,4,15,2,8,1,15,2,14,42,7,1,14,3,7,9,14,13,7,1,14,1,7,1,14,1,7,5,14,1,7,3,14,5,15,3,14,16,7,9,14,13,7,3,14,3,7,5,14,3,7,2,8,13,18,2,8,41,18,2,8,14,18,3,8,58,10,6,8,1,10,4,8,34,10,4,8,4,10,58,8,5,10,3,8,8,10,7,8,1,10,8,8,15,10,4,8,5,10,2,8,1,10,10,8,4,10,11,8,4,10,21,8,5,10,3,8,10,10,8,8,12,10,25,8,3,10,79,8,11,10,1,8,3,10,145,8,11,10,2,8,8,10,4,8,8,10,12,8,3,10,8,8,3,10,2,8,1,10,21,9,1,4,1,19,5,4,748,},
{4,706,19,2,4,3,18,4,9,1,10,4,8,3,10,5,9,8,18,4,8,1,10,4,9,1,8,1,18,1,15,3,8,1,9,2,8,1,15,1,14,1,17,1,16,77,17,3,14,1,16,13,17,1,16,21,17,2,16,13,17,1,14,2,16,4,17,1,16,8,17,1,14,1,7,1,14,1,16,9,17,1,14,1,15,2,14,4,17,1,16,4,14,8,3,2,14,1,15,1,8,1,18,1,15,1,14,8,16,21,14,1,15,4,18,1,8,6,15,1,14,5,16,53,14,5,15,2,14,2,16,1,17,1,14,2,16,17,17,1,14,3,15,1,8,1,9,1,10,4,18,1,14,1,16,37,17,1,16,7,14,2,17,2,14,3,3,5,14,2,15,2,14,2,15,3,14,3,15,1,18,1,8,6,15,1,14,1,15,4,18,1,8,2,10,6,8,2,10,6,8,1,15,1,14,3,15,1,8,1,15,1,8,4,15,1,14,3,15,1,9,1,10,8,18,3,9,1,10,3,8,7,18,4,8,3,10,5,8,2,15,1,14,1,3,2,14,3,18,14,15,2,18,2,15,1,14,71,7,1,14,6,7,1,15,1,8,1,15,1,7,1,14,4,15,4,14,44,7,12,14,9,7,1,14,8,7,3,14,2,7,1,15,2,14,4,7,1,15,1,7,4,14,1,7,2,14,10,7,12,14,10,7,6,14,2,7,5,14,3,7,1,8,56,18,2,8,14,18,3,8,53,18,2,8,3,10,10,8,31,10,2,8,1,10,5,8,4,10,57,8,8,10,1,8,9,10,6,8,1,10,7,8,14,10,6,8,5,10,13,8,4,10,3,8,2,10,5,8,5,10,15,8,2,10,4,8,7,10,1,8,9,10,9,8,12,10,25,8,3,10,79,8,14,10,134,8,2,10,10,8,12,10,1,8,8,10,4,8,7,10,13,8,1,18,2,10,8,8,3,10,2,8,1,10,21,18,1,4,1,19,5,4,748,},
{4,706,19,3,4,5,18,3,10,11,9,2,10,1,9,2,18,6,8,1,10,7,9,1,18,1,15,2,8,1,10,3,8,2,14,2,16,76,17,1,16,2,17,1,16,20,17,2,16,14,17,1,16,7,14,1,16,5,14,1,15,1,14,1,16,13,14,1,7,2,14,1,16,10,14,1,15,3,14,2,17,1,16,5,17,1,14,6,3,3,14,1,15,1,8,1,15,1,14,9,17,1,16,20,14,2,15,1,14,1,15,1,18,1,8,2,18,1,8,2,9,1,8,1,15,1,14,4,3,1,16,52,17,1,14,7,16,3,17,1,14,1,16,16,14,4,15,1,14,1,15,1,8,1,10,4,8,1,15,1,14,1,16,36,17,1,16,7,14,2,17,1,16,2,14,3,3,4,14,7,15,1,14,4,15,1,18,2,8,1,18,2,8,1,18,1,14,7,18,1,8,3,10,12,8,1,18,1,14,2,15,2,8,1,15,1,8,3,15,5,18,1,9,1,10,8,8,1,18,1,8,1,10,5,8,7,18,4,8,2,10,5,8,1,18,1,14,2,3,3,14,3,18,5,15,1,18,2,15,3,14,2,15,5,14,68,7,7,14,4,15,3,14,5,15,2,14,25,7,1,14,20,7,13,14,8,7,1,14,13,7,1,15,2,14,5,15,1,7,8,14,9,7,7,14,2,7,4,14,7,7,8,14,4,7,4,14,3,8,57,18,3,8,12,18,1,15,1,18,1,8,52,18,3,8,2,10,5,8,37,10,8,8,4,10,56,8,8,10,1,8,11,10,5,8,3,10,5,8,14,10,5,8,5,10,15,8,3,10,3,8,3,10,4,8,1,10,17,8,5,10,3,8,14,10,11,8,13,10,24,8,1,10,83,8,9,10,1,8,2,10,95,8,4,10,1,8,2,10,32,8,4,10,6,8,24,10,2,8,6,10,16,8,3,10,8,8,2,10,25,9,1,4,1,19,4,4,749,},
{4,706,19,7,4,4,18,2,10,13,18,7,8,1,10,2,9,2,10,3,9,1,18,1,15,2,8,1,9,1,10,2,9,1,8,1,15,1,14,1,17,1,16,91,17,1,16,6,17,2,16,15,17,2,16,6,14,2,16,3,17,1,14,1,8,1,15,1,16,13,14,1,15,1,7,1,14,1,16,10,14,1,15,2,7,1,14,2,17,1,16,5,17,1,14,4,3,5,14,1,18,1,8,1,14,10,17,1,16,19,14,5,15,1,18,1,8,1,18,2,8,2,9,1,8,1,15,1,14,5,16,52,17,1,14,2,16,3,3,1,16,4,17,1,14,1,16,15,17,1,14,2,15,3,14,2,18,1,9,1,10,3,8,2,7,1,17,1,16,44,17,1,16,3,3,2,14,2,3,3,14,3,15,1,14,8,15,4,14,2,15,1,14,9,15,1,18,1,8,3,10,10,8,2,15,1,14,1,15,5,8,2,15,2,8,2,15,1,18,1,8,1,10,16,8,8,18,4,8,1,10,5,8,1,18,1,14,2,3,4,14,4,18,7,15,1,14,6,15,2,14,66,7,11,14,9,7,1,15,1,14,25,7,4,14,5,7,1,14,12,7,14,14,21,7,1,15,1,7,1,14,6,7,8,14,8,7,8,14,3,7,4,14,5,7,9,14,5,7,3,14,3,18,1,8,15,18,1,8,21,18,3,8,11,18,1,8,4,18,1,15,2,18,1,8,10,18,2,15,1,18,1,8,51,18,4,8,1,10,5,8,39,10,7,8,4,10,55,8,21,10,5,8,3,10,4,8,16,10,4,8,3,10,17,8,4,10,2,8,7,10,13,8,2,10,2,8,6,10,3,8,13,10,11,8,13,10,17,8,3,10,3,8,3,10,54,8,3,10,17,8,3,10,6,8,7,10,4,8,1,10,44,8,2,10,19,8,1,10,28,8,9,10,31,8,4,10,6,8,30,10,19,8,2,10,2,8,3,10,20,4,1,10,1,9,1,10,1,4,3,10,4,4,754,},
{4,706,19,7,4,11,10,8,9,2,18,2,8,1,9,1,10,4,8,2,10,3,9,1,15,1,14,1,15,1,8,3,9,3,8,1,15,1,14,1,17,1,16,97,17,2,16,16,14,2,16,6,17,1,16,4,14,1,8,1,15,1,17,1,16,12,14,1,7,2,14,1,16,11,14,6,16,6,14,8,3,1,14,1,15,2,14,1,3,2,14,9,16,20,3,1,14,3,15,5,8,3,15,1,14,4,17,1,16,78,17,1,14,3,15,5,14,1,15,1,8,1,10,4,9,1,15,1,14,1,16,48,14,3,3,4,14,3,15,1,14,6,15,2,8,2,15,1,14,3,15,1,14,2,3,1,14,6,15,1,18,1,8,3,10,7,9,1,10,3,8,1,15,2,14,1,15,8,8,3,18,1,8,1,10,16,8,13,10,4,8,1,18,1,15,1,14,2,3,5,14,5,15,1,18,4,15,1,14,73,7,13,14,36,7,2,14,19,7,16,14,28,7,8,14,7,7,9,14,3,7,5,14,3,7,9,14,6,7,3,14,2,7,1,8,25,18,1,8,11,18,7,8,6,18,4,8,3,18,4,8,10,18,4,8,38,10,1,8,12,18,3,8,3,10,3,8,40,10,7,8,3,10,54,8,24,10,4,8,3,10,4,8,16,10,4,8,3,10,18,8,3,10,1,8,9,10,6,8,2,10,2,8,12,10,3,8,13,10,11,8,13,10,9,8,1,10,6,8,4,10,4,8,1,10,73,8,5,10,6,8,3,10,103,8,6,10,14,8,3,10,16,8,5,10,5,8,26,10,1,8,2,10,20,8,1,10,3,8,4,10,19,4,8,10,3,9,1,4,754,},
{4,711,19,2,4,11,10,4,8,2,10,4,8,4,10,3,8,3,10,2,9,1,8,1,15,3,8,4,9,2,8,1,15,1,14,2,16,53,17,1,16,51,14,2,17,1,16,7,14,2,17,1,16,10,14,1,15,2,16,4,17,1,16,7,17,1,14,4,17,1,16,11,14,8,16,6,14,7,15,2,14,13,16,20,17,1,14,3,15,10,14,1,17,1,16,79,14,5,15,1,8,3,15,3,8,3,9,1,10,1,8,1,14,1,16,47,14,4,16,4,14,10,15,1,8,1,10,1,9,1,8,1,14,2,15,1,8,1,15,1,14,1,3,2,14,2,15,1,14,1,15,1,18,1,8,2,10,14,8,1,15,1,14,4,15,4,8,5,9,1,10,7,8,3,10,5,8,12,10,4,8,2,15,1,14,5,3,3,14,6,15,5,14,53,17,1,14,21,7,16,14,49,7,8,14,3,7,6,14,5,7,4,14,12,15,1,14,5,7,12,14,2,7,1,14,4,7,7,14,4,7,8,14,1,7,6,15,3,14,8,15,3,7,1,8,19,18,8,8,9,18,4,8,2,18,1,8,8,18,1,8,16,18,6,8,23,10,1,8,11,18,2,8,2,10,2,8,11,18,1,8,46,10,66,8,17,18,1,8,11,10,13,8,9,10,5,8,4,10,20,8,47,10,14,8,10,10,8,8,2,10,6,8,5,10,22,8,1,10,31,8,4,10,18,8,6,10,5,8,4,10,4,8,3,10,52,8,6,10,12,8,4,10,4,8,12,10,9,8,1,10,17,8,2,10,11,8,1,10,3,8,4,10,8,8,12,10,2,8,7,10,25,8,8,10,1,8,1,10,19,4,8,10,2,8,1,9,1,4,754,},
{4,725,10,2,8,1,18,2,8,1,10,10,8,3,9,1,10,1,8,1,18,1,15,2,8,3,15,1,8,2,9,1,8,2,15,1,14,3,16,102,17,1,14,1,7,1,14,1,16,7,14,3,16,7,17,1,16,2,17,1,15,1,14,1,16,12,17,1,14,3,7,1,6,1,16,12,14,1,15,1,14,5,17,1,16,5,14,22,3,2,16,19,14,7,15,6,14,1,16,79,17,1,14,4,15,1,8,1,9,2,8,1,15,4,8,2,10,2,8,1,14,1,16,44,17,1,16,2,14,3,16,5,14,10,15,1,9,1,10,2,8,1,15,3,9,1,8,1,14,1,3,3,14,4,18,1,8,1,10,15,8,1,15,1,14,6,15,3,8,2,9,1,10,9,8,1,18,1,8,1,10,5,8,11,10,4,8,1,18,1,14,74,17,1,14,23,7,4,14,3,7,9,14,8,7,3,14,36,7,8,14,3,7,5,14,7,7,4,14,11,15,1,14,4,7,4,14,1,7,7,14,3,7,1,14,4,7,7,14,4,7,8,14,1,7,5,15,3,14,8,15,4,8,15,18,2,8,3,18,9,8,8,18,1,7,1,18,1,8,1,18,4,8,5,18,2,8,18,18,4,8,36,18,2,8,2,10,2,8,31,10,4,8,22,10,67,8,17,18,1,8,11,10,13,8,9,10,6,8,4,10,17,8,50,10,14,8,4,10,1,8,5,10,7,8,2,10,7,8,4,10,53,8,5,10,19,8,3,10,7,8,4,10,4,8,3,10,52,8,7,10,10,8,6,10,3,8,13,10,26,8,3,10,9,8,9,10,6,8,14,10,2,8,7,10,25,8,4,10,25,4,7,10,1,8,3,9,1,4,754,},
{4,726,10,1,8,1,18,1,15,1,18,1,8,2,10,8,8,6,18,1,15,2,8,10,15,1,14,2,16,92,17,1,16,9,17,1,14,2,17,1,16,7,14,3,16,8,17,1,16,1,17,1,14,2,16,13,14,1,7,4,16,12,14,1,15,1,14,2,16,15,17,1,14,2,3,1,14,15,16,18,14,8,15,5,14,1,17,1,16,78,14,5,15,1,8,1,9,1,8,1,18,1,14,3,15,1,8,1,9,1,10,2,8,1,14,1,16,35,17,1,16,7,17,1,14,1,17,2,14,1,17,1,16,5,14,11,15,1,8,1,10,2,8,4,10,1,8,1,15,1,3,4,14,3,18,1,8,1,10,8,8,4,10,3,8,1,15,1,14,8,15,1,8,1,9,1,10,10,8,3,10,5,8,6,18,1,8,3,10,2,9,1,8,1,18,1,15,1,14,26,15,2,14,78,7,9,14,8,7,4,14,40,7,2,14,4,7,5,14,8,7,4,14,10,15,1,14,4,7,4,14,3,7,3,14,4,7,2,14,4,7,7,14,3,7,15,15,2,14,9,15,2,18,1,8,20,18,6,8,2,18,2,8,8,18,1,7,2,18,5,8,5,18,2,8,34,18,2,8,27,10,1,8,29,10,8,8,9,10,7,8,1,10,70,8,8,10,2,8,7,18,3,8,13,10,9,8,4,10,2,8,3,10,5,8,5,10,17,8,50,10,14,8,3,10,3,8,4,10,17,8,3,10,53,8,4,10,31,8,2,10,4,8,4,10,52,8,8,10,9,8,7,10,1,8,14,10,27,8,3,10,8,8,3,10,1,8,7,10,3,8,15,10,3,8,11,10,21,8,2,10,26,4,7,10,1,8,3,9,1,4,754,},
{4,726,18,3,14,1,15,1,8,4,10,6,8,6,15,5,8,9,15,2,14,1,16,100,17,4,16,8,14,3,16,8,17,1,16,1,17,1,14,2,16,7,17,1,16,5,6,1,7,2,8,1,7,1,16,12,14,1,15,1,14,2,16,18,3,1,14,10,15,1,14,5,17,1,16,16,17,1,14,13,16,79,14,4,15,1,8,1,9,2,8,1,15,1,14,3,15,1,8,1,9,1,10,2,8,1,14,1,16,43,14,3,17,2,16,6,14,10,15,2,8,1,10,2,8,3,9,1,10,2,8,1,14,1,3,3,14,1,3,1,14,2,18,1,8,3,10,5,8,4,10,3,8,1,15,1,14,9,15,1,9,1,10,10,9,1,8,2,10,5,8,12,18,1,15,1,14,17,3,1,14,10,15,2,14,54,7,1,14,24,7,10,14,5,7,5,14,46,7,5,14,8,7,4,14,15,7,5,14,2,7,1,14,1,7,1,14,4,7,3,14,3,7,8,14,1,7,14,8,1,7,1,15,1,14,10,15,2,18,1,8,20,18,5,8,14,18,1,7,1,18,4,8,12,18,1,8,28,18,3,8,19,18,3,8,31,10,1,8,2,10,16,8,4,10,18,8,1,10,56,8,9,10,3,8,6,18,3,8,13,10,7,8,5,10,4,8,3,10,4,8,5,10,16,8,52,10,13,8,2,10,5,8,3,10,19,8,1,10,53,8,3,10,35,8,9,10,50,8,9,10,8,8,7,10,1,8,14,10,27,8,4,10,6,8,4,10,1,8,10,10,1,8,16,10,3,8,12,10,25,8,4,10,17,4,7,18,1,9,1,8,3,4,754,},
{4,720,19,3,4,4,18,4,8,6,10,4,8,3,10,1,8,3,15,2,14,1,15,2,8,5,9,3,8,1,15,1,14,2,16,87,17,2,16,10,17,3,16,9,14,3,16,7,17,1,14,1,17,1,14,3,16,6,14,3,16,5,14,1,7,1,8,1,7,1,16,12,14,3,17,1,16,6,17,1,14,1,16,10,14,11,15,1,14,5,17,1,16,16,14,13,16,61,17,2,16,17,14,4,15,1,8,4,15,1,14,2,15,1,8,3,9,1,10,1,8,1,15,1,14,1,16,42,14,3,17,2,16,6,14,10,15,1,8,1,9,1,10,1,9,1,8,3,9,1,10,3,15,1,14,1,3,1,14,5,15,1,18,1,8,3,10,5,8,2,10,4,8,1,15,1,14,3,3,1,14,1,3,3,14,2,8,1,10,10,8,3,10,6,8,10,15,1,14,2,3,3,14,25,15,2,14,79,7,13,14,1,7,7,14,46,7,4,14,26,7,18,14,3,7,22,8,2,7,5,14,6,7,1,15,2,8,21,18,4,8,7,18,2,8,8,7,1,18,2,8,4,18,1,8,33,10,2,8,2,18,2,8,9,18,2,8,8,18,4,8,30,10,3,8,1,10,16,8,5,10,15,8,5,10,54,8,9,10,4,8,5,18,4,8,12,10,6,8,6,10,4,8,3,10,5,8,4,10,16,8,52,10,14,8,1,10,5,8,5,10,71,8,1,10,31,8,3,10,2,8,11,10,49,8,7,10,10,8,7,10,1,8,14,10,28,8,3,10,6,8,4,10,2,8,7,10,5,8,14,10,4,8,12,10,19,8,1,10,3,8,3,10,19,4,7,18,1,8,3,9,1,4,754,},
{4,720,19,4,4,3,18,3,8,2,15,4,8,11,15,2,14,4,15,4,8,5,15,1,14,2,16,86,17,1,14,1,16,11,17,2,16,10,14,3,16,7,17,1,14,1,17,2,14,2,16,5,17,1,14,3,17,1,16,4,17,1,14,1,7,2,16,12,14,3,16,8,14,1,16,4,14,3,16,3,14,11,15,2,14,5,16,16,14,11,16,63,14,3,16,16,14,3,15,2,8,3,15,2,14,2,15,1,18,1,8,3,9,2,8,1,14,1,17,1,16,41,14,3,17,2,16,7,14,6,3,2,14,1,15,1,8,1,9,2,8,1,15,3,9,1,10,3,8,1,14,7,15,1,18,2,8,2,10,11,8,1,15,1,14,3,3,6,14,1,15,1,8,1,10,3,9,2,10,4,18,2,8,1,10,6,8,8,18,1,14,2,3,5,14,4,3,3,14,99,7,21,14,27,7,1,14,18,7,4,14,26,7,18,14,4,7,12,14,1,7,1,14,1,7,7,8,1,7,6,15,1,14,5,15,2,18,1,8,6,7,1,8,13,18,4,8,8,18,1,8,8,18,2,8,5,18,2,8,25,18,3,8,4,10,2,8,55,10,5,8,1,10,4,8,5,10,7,8,6,10,9,8,2,10,3,8,7,10,50,8,12,10,2,8,6,18,4,8,12,10,5,8,8,10,2,8,5,10,4,8,4,10,17,8,1,10,2,8,47,10,21,8,6,10,68,8,2,10,21,8,1,10,9,8,4,10,2,8,11,10,66,8,6,10,3,8,12,10,30,8,2,10,5,8,4,10,4,8,5,10,8,8,13,10,2,8,14,10,18,8,1,10,3,8,3,10,19,4,6,18,2,8,3,10,1,4,754,},
{4,720,19,5,4,2,18,3,8,2,15,1,14,3,15,1,14,4,15,6,14,3,3,2,14,5,15,5,14,4,16,85,17,2,16,11,17,1,16,11,17,1,14,1,17,1,16,7,17,2,16,1,17,1,14,2,17,1,16,3,17,1,14,4,17,1,16,5,17,1,7,1,14,1,16,12,17,1,14,2,16,12,14,4,16,3,14,10,15,2,14,5,17,1,16,16,14,10,16,64,17,1,14,2,17,1,16,15,14,4,15,6,14,2,15,4,8,1,9,1,10,1,8,1,15,1,14,1,16,41,17,1,14,2,17,1,16,9,14,5,3,2,14,1,15,1,8,3,15,4,8,1,9,1,10,1,9,1,8,1,15,1,14,1,15,5,18,2,8,3,10,10,8,2,15,1,14,5,3,5,14,1,15,1,9,1,10,8,18,2,8,1,10,10,8,2,18,2,14,1,3,6,14,5,3,4,14,79,7,2,14,19,7,14,14,32,7,2,14,16,7,5,14,25,7,11,8,3,7,5,14,8,7,4,14,7,7,13,15,3,14,5,15,1,18,1,8,5,7,3,8,5,18,2,8,5,18,3,8,9,18,2,8,7,18,1,8,6,18,2,8,24,18,2,14,1,18,1,8,4,10,2,8,54,10,10,8,7,10,6,8,6,10,8,8,4,10,1,8,10,10,45,8,5,18,1,8,17,18,3,8,12,10,5,8,10,10,1,8,6,10,2,8,6,10,20,8,2,10,1,8,43,10,21,8,6,10,68,8,1,10,21,8,3,10,7,8,14,10,1,8,3,10,66,8,5,10,4,8,6,10,1,8,2,10,34,8,2,10,3,8,5,10,5,8,2,10,10,8,13,10,2,8,3,10,3,8,9,10,5,8,1,10,11,8,1,10,4,8,1,10,5,8,1,10,19,9,1,8,4,10,1,4,755,},
{4,720,19,5,4,2,18,2,14,1,15,2,14,10,15,2,14,6,3,1,16,3,3,1,14,12,16,93,17,2,16,14,17,1,14,1,16,8,17,2,16,2,17,3,16,3,17,1,14,4,16,7,14,1,6,1,16,25,17,1,14,5,16,3,14,10,15,2,14,2,3,2,14,1,17,1,16,16,14,9,3,1,16,9,17,1,16,54,17,1,14,3,16,15,14,4,15,6,14,4,15,2,8,1,9,1,10,1,9,1,8,1,14,1,16,41,17,4,16,10,17,1,14,3,3,1,14,2,15,3,14,4,15,1,8,4,15,5,18,1,8,6,10,7,8,5,15,1,14,9,3,3,14,1,8,1,10,8,18,2,8,1,10,8,8,2,18,1,15,1,14,3,3,6,14,4,3,5,14,1,15,4,14,26,17,1,14,47,7,2,14,21,7,9,14,34,7,6,14,14,7,4,14,1,7,3,14,1,7,2,14,18,7,1,14,6,7,3,8,5,7,5,14,7,7,4,14,5,7,14,8,2,15,3,14,5,15,2,8,4,7,2,8,6,18,2,8,5,18,3,8,9,18,2,8,15,18,1,8,23,18,2,14,3,18,1,8,3,10,2,8,3,10,3,8,38,10,1,8,7,10,11,8,8,10,6,8,6,10,8,8,15,10,45,8,5,18,2,8,16,18,3,8,9,10,8,8,16,10,3,8,7,10,19,8,46,10,21,8,6,10,38,8,1,10,51,8,3,10,6,8,6,10,2,8,5,10,4,8,1,10,67,8,5,10,3,8,6,10,38,8,2,10,3,8,4,10,18,8,19,10,3,8,12,10,42,8,6,9,1,4,756,},
{4,720,19,6,4,1,18,1,3,3,14,11,15,3,14,5,17,1,16,5,3,1,14,10,16,47,17,2,16,44,17,4,16,12,17,2,16,18,17,1,14,2,17,1,16,7,17,1,14,1,6,1,16,24,17,1,14,6,16,3,3,1,14,8,15,4,14,4,16,17,14,10,3,1,16,7,14,2,17,1,16,53,17,1,14,3,16,15,14,4,15,3,18,1,15,1,14,3,3,1,14,2,15,1,8,2,9,1,10,1,8,1,15,1,17,1,16,41,17,3,16,10,17,1,14,9,3,2,14,1,15,1,8,4,15,4,14,1,15,2,8,5,10,6,8,4,15,4,14,10,3,2,14,1,8,1,10,8,18,2,10,8,8,2,18,1,14,3,3,17,14,1,15,1,8,2,15,2,14,74,7,1,14,64,7,7,14,14,7,11,14,5,7,2,14,1,7,2,14,6,7,1,14,8,7,4,8,2,7,7,14,8,7,1,14,3,7,11,14,3,7,1,8,4,15,3,14,5,15,2,8,4,7,2,8,6,18,3,8,4,18,3,8,18,18,1,8,7,18,1,8,24,7,1,14,2,7,1,18,1,8,8,10,3,8,6,10,2,8,29,10,3,8,4,10,12,8,9,10,6,8,1,10,13,8,6,10,3,8,5,10,46,8,22,18,3,8,10,10,8,8,3,10,1,8,1,10,1,8,11,10,3,8,7,10,18,8,46,10,22,8,4,10,39,8,1,10,60,8,6,10,3,8,3,10,72,8,6,10,3,8,6,10,14,8,1,10,23,8,2,10,3,8,4,10,14,8,3,10,1,8,7,10,1,8,11,10,2,8,10,10,22,8,1,10,20,8,9,4,756,},
{4,721,19,1,4,1,19,3,4,1,18,1,3,5,14,8,15,1,8,3,15,4,14,2,17,1,16,2,17,1,14,9,3,2,14,1,16,47,17,1,6,2,16,40,14,1,6,1,17,5,16,12,17,1,16,20,17,2,16,7,17,1,14,2,17,1,16,9,14,1,16,5,14,3,16,3,17,1,14,7,16,7,3,1,14,7,15,3,14,4,17,1,16,5,17,1,16,10,3,1,14,9,3,2,16,5,14,4,16,53,14,2,15,1,14,1,16,15,14,2,15,4,8,2,15,2,14,1,3,3,14,2,15,1,8,1,9,1,8,2,15,1,14,1,16,42,17,3,16,8,14,9,3,2,16,1,3,1,14,1,15,1,8,1,10,2,8,1,15,4,14,3,15,2,8,2,10,5,8,2,15,5,14,13,3,2,14,1,8,1,10,8,18,2,10,8,8,1,15,1,14,1,3,7,14,3,3,6,14,2,3,2,14,1,15,1,8,2,15,2,14,140,7,4,14,17,7,2,14,1,7,7,14,5,7,8,14,3,7,1,14,8,7,14,14,8,7,1,14,2,7,9,14,5,7,1,8,3,15,4,7,1,14,4,15,2,8,4,7,2,8,6,18,2,8,5,18,4,8,17,18,1,8,7,18,2,8,24,7,1,14,1,18,1,8,18,10,1,8,27,10,1,8,1,10,20,8,9,10,20,8,6,10,5,8,3,10,46,8,23,18,1,8,11,10,8,8,1,10,8,8,8,10,3,8,9,10,16,8,46,10,126,8,6,10,76,8,8,10,2,8,8,10,13,8,1,10,23,8,2,10,3,8,4,10,14,8,3,10,1,8,6,10,3,8,21,10,11,8,3,10,8,18,1,10,6,9,1,10,1,4,1,10,4,8,14,9,1,10,1,4,757,},
{4,727,18,1,3,5,14,8,15,1,8,8,15,1,14,14,3,1,16,48,17,1,6,2,16,21,17,1,16,17,14,1,7,1,14,2,17,1,16,15,17,1,16,21,17,1,16,7,14,3,17,1,16,8,17,1,14,1,16,4,14,14,16,4,14,1,17,1,16,3,14,8,15,1,14,6,16,4,14,2,17,1,16,9,3,1,14,9,3,2,16,5,14,4,17,1,16,47,17,1,16,3,17,1,14,2,15,2,17,1,16,14,14,1,15,5,8,3,15,1,14,2,3,2,14,2,15,1,8,4,15,1,14,1,16,42,17,1,14,1,17,1,16,7,14,9,3,3,16,1,3,1,14,1,15,1,9,1,10,3,8,3,15,1,14,1,3,1,14,3,15,2,8,1,10,3,8,2,15,4,14,10,3,1,14,4,3,2,14,1,8,1,10,7,8,1,18,2,10,8,8,1,14,1,3,5,14,5,3,7,14,2,3,3,14,1,15,3,14,141,7,1,14,21,7,1,14,1,7,7,14,5,7,7,14,4,7,2,14,8,7,13,14,8,7,12,14,5,7,3,15,5,7,1,14,1,7,1,14,2,15,2,8,5,7,1,8,6,7,1,18,1,8,5,18,4,8,15,18,1,7,1,18,1,8,7,18,3,8,24,18,1,8,31,18,1,8,12,10,1,8,1,10,1,8,4,10,19,8,7,10,21,8,6,10,54,8,35,10,18,8,7,10,1,8,12,10,16,8,44,10,125,8,8,10,60,8,3,10,6,8,14,10,4,8,7,10,36,8,2,10,22,8,10,10,3,8,19,10,13,8,7,10,2,18,2,10,1,18,2,4,9,10,1,8,14,18,1,4,759,},
{4,727,18,1,3,6,14,11,15,2,8,5,15,10,14,4,3,1,16,1,17,1,16,44,17,1,16,2,17,1,16,21,14,1,17,1,16,15,6,1,7,1,8,1,7,1,6,1,16,38,17,1,16,6,17,1,14,1,7,1,14,1,16,9,14,2,16,4,17,1,14,7,15,2,14,3,16,5,14,2,16,3,14,16,17,2,14,4,16,8,3,1,14,10,3,2,16,4,3,1,14,8,16,43,17,1,14,7,15,2,14,1,16,14,14,1,15,1,9,1,8,2,15,2,8,3,15,1,14,3,3,1,14,2,15,1,8,3,15,1,14,1,16,42,17,3,16,7,14,8,3,6,14,1,15,1,10,6,8,1,15,1,14,1,3,3,14,3,15,1,8,3,15,1,14,15,3,1,14,3,3,3,14,1,8,1,10,5,8,2,18,3,10,8,18,1,14,1,3,3,14,7,3,6,14,3,3,4,14,71,7,1,14,4,17,1,14,89,7,1,14,6,7,1,14,17,7,2,14,9,7,7,14,1,7,4,14,3,7,1,14,4,7,11,14,7,7,4,15,3,7,1,15,1,7,1,15,4,8,13,18,1,8,5,18,4,8,14,18,2,7,1,18,1,8,8,18,2,8,55,18,2,8,3,10,2,8,7,10,3,8,5,10,18,8,7,10,9,8,4,10,9,8,5,10,53,8,36,10,18,8,20,10,20,8,40,10,114,8,3,10,6,8,11,10,28,8,2,10,29,8,22,10,5,8,7,10,60,8,8,10,5,8,6,10,4,8,7,10,21,8,1,10,1,18,2,10,2,18,2,4,10,9,1,8,12,9,1,4,760,},
{4,694,18,1,3,3,4,26,19,2,4,2,18,1,3,6,14,7,17,2,14,3,15,1,8,15,15,1,14,6,3,1,16,42,17,1,16,24,17,2,16,15,17,1,7,1,15,1,7,1,17,1,16,37,17,1,14,1,17,1,16,5,17,1,14,1,15,1,14,1,16,9,14,2,16,5,14,12,16,5,14,2,16,2,3,1,14,22,3,1,16,6,3,1,14,10,3,7,14,9,16,43,17,1,14,7,15,2,14,1,17,1,16,13,14,1,9,3,8,1,15,3,8,3,15,1,14,5,15,1,8,4,14,1,17,1,16,42,17,2,16,7,14,7,3,3,14,5,18,1,8,1,10,5,8,1,14,1,3,1,16,2,3,3,14,2,15,1,8,1,15,1,14,20,3,3,14,1,8,1,10,5,8,1,18,4,8,1,10,7,8,1,14,1,3,2,14,2,15,1,14,2,3,1,14,2,3,5,14,3,3,7,14,74,17,1,14,21,7,1,14,67,7,1,14,24,7,3,14,3,7,11,14,2,7,9,14,2,7,12,14,6,7,9,15,1,7,2,15,3,8,14,18,2,8,3,18,3,8,15,18,1,7,2,18,1,8,54,18,3,8,9,18,1,8,3,10,2,8,7,10,4,8,5,10,17,8,7,10,8,8,6,10,8,8,6,10,46,8,15,18,1,8,27,10,1,8,1,10,14,8,21,10,22,8,37,10,113,8,23,10,27,8,2,10,30,8,7,10,4,8,10,10,5,8,4,10,63,8,7,10,3,8,9,10,4,8,6,10,26,18,3,10,1,4,10,8,14,4,760,},
{4,694,18,1,3,3,18,1,4,25,19,3,4,1,18,1,3,6,14,6,17,4,14,2,7,1,15,1,8,4,15,1,8,3,10,5,8,2,15,2,14,5,3,1,16,40,17,2,16,41,17,1,14,1,7,1,6,1,16,38,17,1,14,2,16,5,17,1,14,2,17,1,16,9,14,3,16,4,17,1,14,1,15,1,14,8,16,5,14,4,16,1,14,9,15,2,14,14,16,3,14,14,3,4,14,10,17,1,16,44,17,1,14,9,17,1,16,12,14,1,15,1,9,1,10,1,9,1,8,1,15,4,8,2,15,1,14,5,15,1,8,4,15,1,14,1,16,51,17,1,14,6,3,2,14,1,15,1,18,2,15,2,8,2,10,4,8,1,15,1,14,1,16,3,3,4,14,5,16,2,14,4,16,3,3,1,14,12,18,1,8,1,10,5,8,2,18,2,8,2,10,7,8,1,14,2,3,1,14,2,15,1,14,12,3,5,16,2,3,2,14,73,17,1,14,17,7,6,14,65,7,2,14,24,7,16,14,4,7,4,14,2,7,2,14,3,7,8,14,9,7,9,15,1,7,2,15,4,8,6,7,1,8,6,18,3,8,2,18,3,8,15,7,3,18,1,8,47,18,2,8,5,18,2,8,13,10,5,8,4,10,5,8,5,10,16,8,10,10,7,8,5,10,7,8,10,10,43,8,15,18,1,8,30,10,4,8,3,10,6,8,20,10,26,8,33,10,112,8,25,10,59,8,2,10,15,8,4,10,6,8,2,10,55,8,4,10,5,8,6,10,3,8,18,10,31,4,12,9,1,8,10,9,1,18,1,4,760,},
{4,695,3,3,18,1,4,3,19,2,4,2,18,2,4,16,19,4,4,1,3,6,14,13,15,3,14,4,8,3,10,4,8,6,15,1,14,3,3,2,16,38,6,2,16,18,17,1,16,22,17,1,14,2,16,26,14,1,17,1,16,11,14,3,16,6,14,2,16,10,14,3,16,5,14,1,15,2,14,6,16,5,14,8,3,3,14,3,15,3,14,9,16,2,14,4,3,1,14,8,15,3,14,18,16,47,17,3,14,4,17,1,16,13,14,1,15,1,8,1,9,2,8,2,15,6,14,5,15,1,8,4,15,1,14,1,16,44,17,1,16,7,14,9,15,1,8,10,15,1,14,1,16,4,3,1,14,2,3,1,14,4,3,1,16,3,3,2,16,5,14,7,15,3,14,1,15,1,18,1,8,1,10,12,8,2,10,4,8,1,15,1,14,16,3,3,14,3,3,3,14,90,7,8,14,60,7,1,14,1,7,8,14,22,7,10,14,1,7,4,14,4,7,3,14,3,7,1,14,4,7,7,14,8,7,14,15,2,14,1,7,1,8,6,7,2,18,2,8,3,18,3,8,2,18,2,8,16,7,3,8,39,10,1,8,4,10,2,8,2,18,3,8,18,10,7,8,2,10,7,8,4,10,11,8,9,10,2,8,6,10,17,8,11,10,42,8,15,18,1,8,18,10,3,8,5,10,1,8,3,10,3,8,30,10,27,8,32,10,111,8,26,10,76,8,5,10,4,8,3,10,43,8,3,10,8,8,16,10,2,8,18,10,22,8,3,10,6,4,3,19,7,4,3,18,1,9,1,8,9,18,1,4,2,19,2,4,757,},
{4,696,18,2,4,4,19,2,4,20,19,4,4,1,18,1,3,5,18,1,14,6,15,4,14,10,15,1,8,3,10,4,8,5,15,1,14,8,17,1,16,33,17,2,16,12,17,1,14,1,16,27,17,1,14,1,17,1,16,25,17,1,14,1,17,1,16,10,17,1,14,3,16,18,17,1,14,2,16,5,14,1,15,1,14,7,16,4,14,6,3,1,16,5,3,1,14,2,15,4,14,21,15,10,14,9,15,1,14,3,17,1,16,52,17,3,16,11,14,2,15,2,8,4,15,5,14,6,15,1,8,5,14,1,16,45,17,1,16,7,14,8,8,1,10,3,9,1,8,3,18,1,15,2,14,1,3,1,16,3,3,1,14,4,3,1,14,2,16,12,14,3,15,3,8,7,10,12,8,3,10,4,8,1,18,1,14,16,3,3,14,20,3,1,14,142,7,8,14,19,7,1,14,6,7,14,14,2,17,1,14,2,7,3,14,2,7,2,14,3,7,6,14,9,7,14,15,4,8,7,7,2,18,1,8,3,18,3,8,2,18,1,8,17,18,2,7,1,8,44,10,3,8,6,10,2,8,5,18,3,8,6,10,18,8,1,10,10,8,11,10,1,8,8,10,15,8,12,10,5,8,6,10,30,8,8,18,2,8,6,18,2,8,17,10,7,8,5,10,3,8,7,10,3,8,19,10,29,8,26,10,1,8,1,10,106,8,1,10,7,8,5,10,2,8,6,10,2,8,11,10,76,8,12,10,43,8,5,10,1,8,40,10,23,8,3,10,6,4,3,19,7,4,4,9,1,8,8,9,1,4,1,19,5,4,756,},
{4,702,19,5,4,18,19,4,4,2,18,6,15,2,14,3,15,1,8,3,14,12,15,1,8,3,10,2,8,4,18,1,15,3,14,5,15,2,14,2,16,45,17,1,16,22,14,2,16,4,14,2,16,28,17,2,16,9,17,1,14,3,16,8,17,1,16,3,14,4,17,1,16,3,17,2,16,4,14,1,15,1,14,9,3,1,14,7,16,7,14,2,15,3,14,14,3,1,14,6,15,4,18,1,8,1,9,2,8,1,18,2,15,5,14,4,15,3,14,3,16,44,17,3,16,5,14,2,16,10,17,1,14,3,15,2,8,3,15,3,14,8,15,1,8,5,14,1,16,45,17,2,16,6,14,2,17,1,14,5,8,1,10,6,8,1,18,1,14,3,3,2,14,4,15,1,14,2,3,1,14,2,16,11,14,3,15,1,8,2,9,2,10,17,8,2,10,6,8,1,18,1,15,1,14,13,3,6,14,3,3,1,14,44,15,1,14,40,17,1,14,71,7,4,14,14,7,1,14,2,7,1,14,1,7,7,14,3,7,16,14,5,7,19,14,9,7,8,14,3,7,3,8,13,18,3,8,21,18,4,8,14,18,3,8,19,10,2,8,12,10,3,8,5,18,3,8,11,10,2,8,1,10,21,8,5,10,5,8,10,10,14,8,25,10,29,8,9,18,3,8,4,18,5,8,12,18,1,8,3,10,4,8,8,10,4,8,5,10,3,8,18,10,29,8,27,10,9,8,2,10,97,8,6,10,5,8,2,10,11,8,8,10,59,8,5,10,7,8,4,10,5,8,8,10,45,8,13,10,2,8,30,10,6,8,1,10,18,8,2,10,6,4,3,19,7,4,4,10,1,8,5,10,3,4,2,19,5,4,756,},
{4,702,19,7,4,17,19,4,4,6,18,5,14,1,15,1,18,1,8,1,15,1,14,2,3,4,14,7,8,2,10,3,8,14,9,1,8,1,15,1,14,1,16,67,14,3,16,2,17,1,14,1,17,1,16,29,14,2,16,7,14,5,16,8,17,1,14,1,17,1,14,2,15,1,8,1,15,1,14,1,16,9,14,19,16,7,14,3,15,1,14,19,15,3,8,2,15,2,18,1,9,1,10,3,8,2,18,3,15,8,8,2,15,2,14,1,16,43,17,2,16,6,14,2,17,1,16,3,17,2,16,4,14,5,15,1,8,3,18,1,15,2,14,5,15,7,7,1,14,1,17,1,16,46,17,1,16,5,17,1,14,8,8,1,10,6,8,2,15,1,14,4,8,2,15,2,8,1,15,1,14,4,16,9,14,5,15,1,8,2,10,18,8,2,10,6,8,3,18,2,15,2,14,6,3,10,14,2,3,2,14,44,15,1,14,66,17,1,14,45,7,4,14,13,7,1,14,3,7,10,14,2,7,16,14,6,7,19,14,9,7,6,14,5,7,1,8,13,18,1,8,1,18,1,8,40,18,3,8,15,7,1,8,3,10,2,8,11,10,4,8,5,18,3,8,12,10,23,8,4,10,7,8,9,10,13,8,26,10,27,8,12,18,3,8,4,18,4,8,11,18,2,8,3,10,4,8,8,10,5,8,3,10,5,8,12,10,4,8,1,10,36,8,5,10,3,8,11,10,8,8,5,10,6,8,2,10,88,8,7,10,17,8,3,10,62,8,9,10,4,8,5,10,7,8,6,10,45,8,12,10,4,8,29,10,5,8,3,10,25,4,3,19,7,4,4,9,1,8,2,4,8,19,5,4,756,},
{4,702,19,10,4,16,19,5,4,3,18,6,14,1,15,2,14,5,17,1,3,1,17,3,14,3,15,1,8,2,10,4,8,4,10,10,8,2,15,1,14,2,16,66,17,2,16,2,17,2,16,30,17,2,16,6,17,1,14,5,16,8,17,1,14,3,15,1,8,3,14,1,17,1,16,8,14,19,16,6,14,3,15,2,14,19,15,3,8,2,18,2,8,1,9,1,10,2,9,1,8,1,18,3,15,1,14,1,15,3,18,1,8,6,15,1,14,1,16,42,17,2,16,6,17,1,14,2,17,1,16,2,17,3,16,4,14,3,15,3,8,3,18,1,8,1,15,1,14,5,15,4,14,2,17,2,16,53,17,1,14,9,8,1,10,7,8,2,18,1,15,2,8,2,10,1,8,1,15,1,8,1,15,1,14,4,16,6,17,1,14,8,15,2,9,1,10,26,8,3,18,2,15,2,14,4,3,11,14,115,17,1,14,2,17,3,14,40,7,3,14,5,7,4,14,1,7,20,14,1,7,16,14,4,7,20,14,10,7,5,14,5,7,2,8,10,18,6,8,39,18,2,8,20,10,3,8,11,10,3,8,18,10,27,8,2,10,7,8,1,10,2,8,6,10,6,8,2,10,5,8,20,10,3,8,3,10,28,8,4,10,3,8,4,18,2,8,5,18,4,8,16,10,5,8,6,10,14,8,12,10,42,8,4,10,3,8,8,10,9,8,7,10,5,8,4,10,22,8,2,10,60,8,13,10,12,8,5,10,43,8,2,10,16,8,11,10,3,8,5,10,8,8,5,10,45,8,13,10,3,8,29,10,33,4,2,19,8,4,4,8,2,18,1,4,8,19,5,4,756,},
{4,703,19,9,4,16,19,6,4,7,18,3,14,7,3,1,14,2,3,1,14,3,15,1,8,2,10,18,9,1,8,2,15,2,14,3,17,2,16,98,17,1,16,6,17,1,14,4,6,1,16,9,14,3,8,1,9,2,8,1,14,2,16,8,17,1,14,14,15,2,14,2,16,4,3,1,14,4,15,1,14,20,15,2,8,1,9,2,8,3,9,1,10,2,9,1,8,1,18,4,14,2,15,1,18,1,8,7,15,2,14,1,16,49,17,7,14,1,17,1,16,4,14,3,15,2,8,2,18,1,15,1,18,1,8,1,15,1,14,5,15,3,14,1,16,58,14,9,8,1,10,8,8,4,10,3,8,3,15,1,14,5,16,4,14,11,15,1,8,1,10,27,8,2,18,1,15,3,14,2,3,10,14,1,3,1,14,3,3,2,14,6,3,2,14,24,3,1,14,78,17,6,14,47,7,45,14,1,7,20,14,11,7,5,14,5,7,3,8,9,18,5,8,35,10,1,8,4,18,1,8,11,7,1,8,9,10,4,8,21,10,2,8,6,10,43,8,3,10,6,8,5,10,3,8,18,10,6,8,1,10,29,8,3,10,4,8,11,18,4,8,16,10,27,8,4,10,50,8,2,10,4,8,6,10,8,8,7,10,7,8,5,10,19,8,4,10,60,8,13,10,8,8,8,10,43,8,3,10,20,8,8,10,2,8,5,10,59,8,14,10,2,8,2,10,6,8,20,10,33,4,2,19,8,4,4,10,1,8,1,4,9,19,5,4,756,},
{4,706,19,6,4,16,19,7,4,8,18,7,14,8,15,1,8,4,10,16,8,5,15,1,14,3,17,1,16,70,17,2,16,34,14,2,7,1,14,2,16,9,14,3,8,1,9,2,15,1,14,2,16,9,14,14,15,3,14,2,16,3,14,26,15,1,18,1,8,1,9,2,8,3,9,1,10,2,8,4,18,2,14,2,18,1,8,9,15,1,14,1,16,53,17,5,16,4,14,3,15,1,8,2,15,3,18,1,8,1,18,1,14,5,15,2,14,1,16,60,17,1,14,7,8,1,10,9,8,2,10,5,8,3,14,2,15,2,14,1,16,3,14,12,15,1,8,2,10,25,8,2,18,1,15,1,14,5,3,9,14,13,3,3,14,16,17,3,14,4,3,3,14,78,17,3,14,49,7,65,14,12,7,6,14,2,7,5,8,8,18,5,8,36,10,1,8,3,18,1,8,12,7,2,8,8,10,4,8,19,10,4,8,6,10,44,8,1,10,6,8,27,10,6,8,1,10,29,8,3,10,4,8,11,18,4,8,17,10,15,8,1,10,66,8,5,10,13,8,6,10,8,8,4,10,20,8,4,10,43,8,1,10,15,8,4,10,3,8,7,10,8,8,8,10,43,8,3,10,21,8,7,10,2,8,5,10,59,8,14,10,10,8,20,10,33,4,2,19,6,4,6,10,2,4,8,19,6,4,756,},
{4,706,19,5,4,18,19,8,4,7,18,4,9,2,8,1,18,1,15,1,14,6,15,2,8,3,10,13,8,5,9,1,8,2,15,1,14,4,17,1,16,67,6,1,7,2,14,1,16,33,14,2,7,2,14,1,16,9,14,2,15,1,8,1,9,1,8,1,15,1,14,2,16,8,17,1,14,14,15,3,14,2,16,3,14,19,15,5,14,2,15,1,18,1,9,1,10,1,9,1,8,3,9,3,8,2,9,1,10,2,8,1,18,3,8,1,9,2,8,3,15,1,8,1,15,2,14,1,16,58,17,1,14,1,17,1,14,4,15,6,8,3,14,2,3,1,14,2,15,2,14,1,16,63,17,1,14,2,3,1,14,1,18,1,10,18,8,1,15,2,8,1,15,1,14,1,3,1,16,2,14,3,16,2,3,1,14,4,15,1,18,1,8,4,10,20,8,5,18,1,15,1,14,5,3,9,14,13,3,5,14,13,17,8,14,1,3,1,17,1,3,2,14,78,17,2,14,49,7,5,14,1,7,58,14,2,7,3,14,6,7,15,8,8,18,3,8,38,10,1,8,3,18,1,8,12,7,3,8,6,10,5,8,11,10,5,8,2,10,5,8,2,18,1,8,3,10,19,8,3,10,28,8,28,10,6,8,1,10,27,8,5,10,4,8,11,18,5,8,15,10,14,8,4,10,3,8,3,10,59,8,4,10,14,8,5,10,10,8,2,10,17,8,7,10,44,8,1,10,16,8,3,10,93,8,14,10,60,8,13,10,10,8,20,10,33,4,3,19,5,4,6,10,1,4,9,19,5,4,757,},
{4,732,19,6,4,4,19,1,4,6,10,2,8,2,18,1,14,7,15,2,8,2,10,12,8,9,15,1,14,4,17,1,16,66,14,1,7,2,14,1,16,16,17,1,14,1,16,7,17,2,16,6,17,1,14,1,7,2,14,1,17,1,16,8,14,2,15,1,8,1,15,2,14,2,16,8,14,16,15,3,14,3,16,1,14,9,16,2,14,8,15,7,14,1,15,1,8,1,9,1,10,1,9,1,8,5,9,3,10,4,8,1,18,1,8,1,9,1,10,2,8,1,15,6,14,1,16,58,14,7,15,3,14,2,15,1,8,2,18,1,14,1,3,2,14,5,16,64,14,1,3,2,14,1,15,1,10,19,8,2,9,1,8,1,15,1,14,1,16,2,14,2,16,5,14,2,15,1,8,6,10,19,8,5,18,1,15,1,14,2,3,13,14,13,3,6,14,13,17,8,14,1,3,3,14,78,17,2,14,12,17,1,14,35,7,5,14,4,7,56,14,2,7,5,14,2,7,17,8,53,18,1,8,12,7,2,14,1,8,3,10,5,8,8,10,2,8,4,10,5,8,1,10,6,8,5,10,20,8,5,10,25,8,6,10,2,8,21,10,6,8,2,10,1,8,6,10,17,8,7,10,4,8,11,18,5,8,16,10,12,8,6,10,1,8,5,10,58,8,4,10,47,8,7,10,45,8,1,10,20,8,1,10,93,8,4,10,3,8,5,10,60,8,14,10,9,8,7,10,4,8,12,10,27,8,2,10,2,4,11,10,2,4,772,},
{4,732,19,6,4,3,19,6,4,3,10,1,8,2,18,1,15,1,14,8,15,1,8,2,10,14,8,2,9,1,10,2,8,2,15,4,14,2,16,36,17,1,16,16,17,1,16,5,17,2,16,4,6,1,14,1,7,1,6,1,16,16,17,1,14,1,17,1,16,6,17,1,14,1,17,1,16,6,14,5,16,8,14,1,15,4,14,3,16,6,17,1,14,18,15,2,14,13,16,3,14,7,15,2,18,1,8,3,18,1,15,1,18,1,8,1,9,3,8,6,9,1,10,6,8,2,9,1,10,2,8,2,15,3,14,4,16,31,17,1,16,25,14,8,15,2,14,2,15,1,8,2,15,1,14,1,3,2,14,4,16,65,3,3,14,1,15,1,10,20,9,1,10,1,9,1,15,1,14,1,3,2,14,2,16,5,14,2,15,1,8,1,10,3,8,2,10,14,8,1,10,3,8,2,18,4,15,1,14,3,3,1,14,4,3,8,14,6,3,3,14,4,3,6,14,2,3,2,14,11,17,5,14,78,17,1,14,4,17,1,14,12,17,2,14,35,7,4,14,5,7,32,14,2,7,47,8,68,7,2,8,2,10,5,8,9,10,18,8,5,10,20,8,5,10,13,8,3,10,3,8,3,10,3,8,5,10,4,8,20,10,3,8,13,10,9,8,1,10,5,8,8,10,4,8,12,18,4,8,16,10,8,8,2,10,1,8,12,10,19,8,1,10,52,8,3,10,35,8,6,10,46,8,1,10,5,8,5,10,9,8,3,10,72,8,2,10,1,8,4,10,1,8,2,10,12,8,2,10,3,8,5,10,61,8,14,10,8,8,6,10,6,8,7,10,1,8,3,10,27,8,2,10,3,4,10,10,2,4,772,},
{4,733,19,5,4,2,19,8,4,2,18,3,14,12,15,2,8,1,10,18,8,2,9,1,10,2,8,1,15,1,14,2,16,1,14,1,17,1,16,4,17,1,16,26,17,4,16,13,17,2,16,4,14,2,16,4,17,1,6,1,17,1,16,19,17,3,16,4,17,1,14,2,16,5,17,2,6,1,14,1,7,1,14,1,16,7,14,2,15,1,8,1,15,1,14,4,16,6,14,11,3,1,14,15,16,3,14,4,16,3,3,2,14,5,15,2,8,1,9,3,8,12,9,1,10,7,9,6,8,1,15,3,14,4,16,31,17,2,16,19,17,1,16,3,14,8,15,3,14,2,18,1,8,2,14,1,3,1,16,1,3,1,14,4,16,64,17,2,3,2,14,1,15,1,10,22,9,1,8,1,14,2,3,1,14,2,16,4,3,1,14,2,8,2,10,19,8,2,10,2,8,1,18,5,15,1,14,5,15,1,14,2,3,7,14,5,3,5,14,5,3,5,14,1,3,4,14,12,17,3,14,83,17,2,14,6,17,1,3,1,14,41,7,2,14,6,7,31,14,3,7,47,8,68,18,1,8,3,10,5,8,3,18,1,8,5,10,18,8,4,10,22,8,2,10,10,8,3,10,2,8,4,10,1,8,12,10,4,8,12,10,2,8,6,10,3,8,14,10,7,8,3,10,4,8,8,10,4,8,12,18,3,8,16,10,9,8,2,10,1,8,6,10,3,8,3,10,18,8,1,10,52,8,5,10,11,8,8,10,15,8,7,10,51,8,5,10,9,8,3,10,73,8,11,10,9,8,11,10,1,8,4,10,43,8,1,10,12,8,16,10,1,8,1,10,3,8,6,10,7,8,6,10,2,8,4,10,31,4,10,8,2,4,772,},
{4,740,19,8,4,2,18,1,3,4,14,13,15,2,18,2,8,1,9,1,10,18,9,1,15,2,14,9,16,26,17,2,16,20,14,2,16,26,17,1,14,1,17,1,16,5,14,2,16,7,17,1,14,3,17,1,16,6,14,2,15,1,8,1,15,1,14,4,16,6,14,10,16,3,14,14,16,4,14,4,16,1,3,4,14,4,15,1,18,1,8,1,9,1,10,4,8,2,18,3,8,5,9,1,10,7,9,1,8,2,9,4,8,1,15,2,14,5,16,30,17,2,16,19,14,2,17,1,14,4,15,8,14,1,15,1,8,2,15,1,14,1,3,1,16,2,14,4,16,1,17,1,16,62,17,1,16,1,3,2,14,1,8,1,10,22,8,2,15,1,14,3,16,5,14,2,15,1,8,2,10,18,8,6,18,2,14,1,15,1,14,6,15,1,18,1,15,1,14,1,3,2,14,2,3,3,14,5,3,5,14,7,3,3,14,2,3,4,14,12,17,1,14,92,17,1,3,1,14,32,7,3,14,13,7,32,14,1,6,1,14,1,7,47,8,71,10,6,8,9,10,18,8,4,10,34,8,3,10,2,8,4,10,1,8,12,10,4,8,11,10,4,8,4,10,4,8,14,10,6,8,4,10,3,8,4,18,1,8,4,10,4,8,12,18,4,8,15,10,9,8,9,10,3,8,3,10,16,8,1,10,54,8,4,10,8,8,12,10,5,8,1,10,9,8,7,10,51,8,5,10,7,8,3,10,64,8,3,10,8,8,11,10,9,8,16,10,42,8,3,10,13,8,20,10,1,8,5,10,6,8,5,10,3,8,4,10,14,8,2,10,13,8,1,10,1,4,10,10,1,8,1,4,772,},
{4,740,19,8,4,2,18,1,3,4,14,9,3,7,14,2,18,1,8,1,10,19,9,1,8,2,14,9,16,25,17,1,16,49,14,1,17,1,16,5,17,2,16,8,17,1,14,2,17,1,16,7,14,2,15,3,14,3,16,7,14,8,3,1,16,3,14,8,15,2,14,4,16,4,14,6,3,2,14,4,15,2,18,1,9,1,10,5,9,1,8,1,18,4,8,4,9,1,10,7,8,4,9,3,8,1,15,2,14,6,16,29,17,2,16,2,17,3,16,14,14,8,15,9,8,2,15,1,3,1,16,3,14,4,17,1,14,1,16,64,3,2,14,1,8,1,10,21,8,2,15,2,14,3,16,5,14,2,15,1,8,2,10,18,8,2,18,1,8,2,18,2,15,1,14,8,15,1,18,1,15,1,14,1,3,2,14,2,3,3,14,5,3,4,14,13,3,4,14,12,17,1,14,126,7,4,14,11,7,33,14,1,6,1,14,1,7,44,8,73,10,7,8,9,10,18,8,3,10,46,8,3,10,3,8,5,10,3,8,3,18,3,8,5,10,5,8,3,10,5,8,13,10,7,8,6,10,1,8,4,18,2,8,3,10,4,8,11,18,5,8,15,10,10,8,14,10,9,8,2,10,5,8,2,10,54,8,2,10,8,8,14,10,3,8,2,10,9,8,7,10,51,8,5,10,6,8,3,10,65,8,4,10,8,8,10,10,8,8,12,10,2,8,2,10,43,8,3,10,3,8,4,10,7,8,18,10,3,8,6,10,4,8,5,10,3,8,3,10,29,8,2,10,5,9,5,10,2,4,3,19,5,4,765,},
{4,741,19,7,4,2,18,1,3,17,16,1,3,3,14,2,15,1,18,5,8,1,9,1,10,4,8,4,10,7,8,1,14,4,15,4,14,3,16,72,17,2,16,16,17,2,16,8,14,2,15,3,14,3,3,1,16,7,14,3,17,1,14,4,16,2,3,1,14,8,15,4,14,2,16,4,14,11,15,2,18,1,8,1,9,1,10,5,9,1,8,1,18,1,15,1,18,2,8,2,18,2,8,1,9,1,10,5,8,1,18,4,8,1,9,2,8,1,15,2,14,6,17,1,16,29,17,7,16,13,14,8,15,8,18,1,8,1,18,1,14,1,3,1,16,3,14,3,17,1,16,1,17,1,16,14,17,2,16,48,3,2,14,1,8,1,10,20,8,1,18,1,15,2,14,3,16,6,14,2,15,1,8,2,10,18,8,1,18,5,15,1,14,10,15,1,14,2,3,1,14,4,3,2,14,5,3,4,14,14,3,4,14,29,15,1,14,53,15,1,14,52,7,6,14,11,7,33,14,3,7,43,8,72,10,8,8,10,10,14,8,2,10,12,8,9,10,37,8,4,10,3,8,3,18,3,8,4,10,15,8,2,10,7,8,2,10,7,8,12,18,2,8,17,18,7,8,14,10,10,8,14,10,5,8,1,10,4,8,1,10,4,8,2,10,51,8,4,10,6,8,18,10,3,8,3,10,8,8,7,10,62,8,3,10,65,8,5,10,9,8,7,10,9,8,11,10,48,8,2,10,4,8,4,10,8,8,17,10,3,8,9,10,4,8,2,10,26,8,3,10,5,8,3,10,7,8,1,10,4,4,2,19,7,4,764,},
{4,741,19,7,4,3,3,13,14,3,3,4,14,10,15,2,8,3,15,1,14,2,15,1,8,1,10,6,8,1,15,1,14,3,15,1,8,3,15,2,14,2,16,100,14,2,15,3,14,2,17,1,16,7,17,1,14,2,17,2,14,4,3,1,14,8,15,5,14,2,3,1,16,3,14,8,15,5,18,1,8,1,9,2,10,4,9,1,8,1,18,4,8,2,18,3,9,1,10,1,8,3,18,3,15,3,18,1,8,2,15,3,14,5,17,1,16,30,17,7,16,13,14,8,15,9,8,1,18,1,14,1,3,1,16,5,17,1,16,8,17,1,14,2,17,2,16,3,17,1,14,3,17,1,16,47,3,1,14,1,8,1,10,19,8,1,18,2,15,2,14,2,3,1,16,6,14,2,15,1,8,1,10,19,8,1,18,5,14,19,3,2,14,5,3,4,14,14,3,3,14,9,17,2,14,71,15,3,14,51,7,6,14,12,7,34,14,1,7,16,14,1,7,27,8,69,18,1,8,2,10,8,8,3,10,2,8,5,10,14,8,3,10,11,8,12,10,35,8,3,10,3,8,3,18,3,8,4,10,33,8,30,18,8,8,1,18,3,8,11,10,8,8,16,10,66,8,7,10,6,8,15,10,4,8,2,10,9,8,7,10,47,8,3,10,12,8,2,10,66,8,3,10,16,8,1,10,10,8,11,10,46,8,1,10,1,8,2,10,17,8,16,10,2,8,11,10,3,8,3,10,25,8,4,10,3,8,2,18,2,10,12,4,2,19,7,4,764,},
{4,744,19,3,4,4,18,1,3,7,16,3,3,1,14,5,3,3,14,1,3,12,14,2,3,3,14,2,18,1,10,6,8,1,15,3,9,1,10,2,8,2,15,1,14,2,17,1,16,99,3,1,14,1,15,3,14,2,3,1,16,7,17,1,14,2,16,1,3,1,14,13,15,2,8,1,15,3,14,2,16,3,3,1,14,5,15,1,18,1,15,3,18,3,8,2,9,1,10,1,9,5,8,1,18,3,8,2,18,3,8,2,18,6,15,7,14,6,17,1,16,32,17,1,14,1,17,2,16,15,14,8,15,9,8,1,18,1,14,1,3,2,16,11,17,1,14,4,17,2,16,2,17,1,14,4,17,1,16,47,3,1,14,1,8,1,10,4,8,1,10,14,8,1,18,1,15,3,14,1,3,1,16,7,14,1,15,1,8,1,10,16,8,3,9,1,8,1,18,1,14,1,18,2,14,8,15,1,14,18,3,4,14,6,3,3,14,15,3,1,17,3,14,4,3,4,14,21,15,4,14,37,15,3,14,8,15,2,14,43,7,5,14,12,7,50,14,2,7,28,8,68,18,1,8,1,10,4,8,2,10,2,8,4,10,2,8,6,10,12,8,4,10,11,8,15,10,38,8,10,10,29,8,3,10,2,8,29,18,7,8,3,18,2,8,12,10,7,8,5,10,3,8,11,10,63,8,8,10,6,8,3,10,3,8,5,10,6,8,2,10,12,8,5,10,14,8,2,10,29,8,5,10,10,8,1,10,100,8,8,10,69,8,3,10,4,8,23,10,2,8,4,10,25,8,4,10,1,8,2,18,2,8,1,10,12,4,2,19,7,4,764,},
{4,751,18,1,3,7,16,3,3,1,14,5,3,15,16,1,3,7,14,1,8,1,10,6,9,2,10,4,8,1,15,1,14,4,16,77,14,2,16,20,3,1,14,1,15,3,14,2,3,1,16,7,17,1,14,2,17,1,3,1,14,1,15,1,14,11,15,1,8,2,15,3,14,2,16,4,14,4,15,2,18,2,15,2,18,3,8,3,9,5,10,1,9,1,18,2,8,1,9,1,8,1,18,3,9,1,10,1,18,7,15,4,14,8,16,33,14,2,17,1,16,16,14,8,15,1,8,1,15,2,14,4,15,1,18,2,14,2,3,1,16,11,14,4,16,7,17,5,14,1,17,2,16,43,14,2,8,1,10,4,8,1,10,14,8,1,18,2,15,2,14,1,3,1,16,6,3,1,14,1,8,2,10,16,18,2,8,3,18,1,14,8,18,1,15,1,18,3,15,1,14,17,3,3,14,5,3,5,14,3,3,1,14,10,16,3,17,1,14,17,15,1,14,10,15,1,8,3,15,1,14,16,15,3,14,18,15,3,14,8,15,2,14,8,3,2,14,35,7,3,14,12,7,50,14,2,7,28,8,64,18,1,8,5,10,3,8,9,10,1,8,2,18,2,8,4,10,11,8,4,10,13,8,12,10,5,8,4,10,31,8,7,10,5,8,4,10,10,8,1,10,9,8,5,10,2,8,29,18,1,8,1,18,4,8,18,10,6,8,5,10,5,8,4,10,3,8,4,10,62,8,2,18,5,8,1,10,7,8,1,10,4,8,13,10,13,8,3,10,14,8,4,10,28,8,6,10,8,8,3,10,3,8,6,10,23,8,2,10,24,8,2,10,4,8,3,10,11,8,2,10,6,8,3,10,11,8,5,10,49,8,2,10,20,8,3,10,3,8,31,10,12,8,3,10,9,8,3,18,4,10,12,4,5,19,7,4,764,},
{4,752,3,11,14,6,3,12,16,6,3,5,14,1,15,1,8,1,9,1,10,9,8,1,15,1,14,6,16,75,14,2,16,20,14,2,15,3,14,2,16,8,14,17,15,1,8,3,15,3,14,2,3,1,16,5,14,3,15,3,14,3,15,2,18,1,8,2,9,4,10,3,8,1,18,1,9,3,8,3,9,2,8,1,18,6,15,1,14,11,16,33,17,1,14,1,16,18,14,7,15,1,8,1,15,2,14,2,15,1,14,1,15,4,14,2,16,10,17,1,14,2,17,1,16,7,17,5,14,4,6,1,16,43,14,1,8,1,10,4,8,2,10,12,8,2,18,2,15,1,14,1,3,2,16,6,14,2,8,1,10,16,8,1,18,3,8,1,18,1,14,8,15,1,18,1,8,4,18,1,14,13,15,2,14,2,3,2,14,6,3,6,14,13,17,3,14,5,17,2,14,11,15,1,14,5,15,6,8,4,15,1,14,35,15,3,14,9,15,2,14,8,3,1,14,52,7,49,14,1,7,29,8,70,10,3,8,9,10,1,8,2,18,2,8,5,10,10,8,3,10,15,8,12,10,4,8,5,10,4,8,3,10,14,8,2,10,8,8,7,10,2,8,7,10,20,8,4,10,3,8,20,10,2,8,7,18,4,8,20,10,5,8,4,10,7,8,2,10,4,8,3,10,1,8,2,10,1,8,1,10,1,8,1,10,56,8,3,18,4,8,1,10,20,8,4,10,14,8,3,10,15,8,3,10,27,8,7,10,8,8,2,10,4,8,5,10,24,8,2,10,25,8,1,10,4,8,3,10,11,8,2,10,5,8,4,10,11,8,2,10,5,8,2,10,66,8,37,10,13,8,3,10,4,8,1,10,5,8,6,10,12,4,4,19,8,4,764,},
{4,752,3,11,14,6,3,4,14,2,3,1,16,2,17,3,16,4,17,6,16,2,3,1,14,1,15,1,9,1,10,8,9,1,8,2,15,1,14,4,17,1,16,96,14,1,15,2,8,1,15,1,14,2,16,7,17,1,14,10,15,3,14,3,15,1,8,3,15,1,8,1,15,2,14,4,16,5,14,2,15,2,14,5,15,1,18,1,8,1,9,3,10,5,9,3,10,1,9,7,8,1,18,1,8,3,18,1,14,11,17,1,16,32,17,2,16,22,14,4,15,12,14,2,16,10,17,1,16,8,17,1,14,3,17,1,16,2,17,1,14,5,17,1,16,41,14,1,8,1,10,3,8,3,9,2,10,10,8,1,18,3,15,1,14,1,3,1,16,7,14,1,15,1,8,1,10,16,8,6,15,1,14,6,15,2,8,1,10,3,8,1,15,1,14,5,15,4,14,4,15,3,14,2,3,1,14,7,3,6,14,18,17,6,14,15,15,1,8,3,15,3,8,3,15,1,14,34,15,4,14,9,15,3,14,63,7,7,8,2,7,8,14,6,7,13,14,1,7,40,8,28,10,4,8,36,10,5,8,4,10,4,8,3,18,1,8,8,10,6,8,3,10,16,8,17,10,7,8,5,10,11,8,6,10,8,8,17,10,19,8,3,10,3,8,8,10,2,8,9,10,4,8,6,18,4,8,21,10,4,8,3,10,3,8,3,10,10,8,2,10,3,8,5,10,39,8,1,10,17,8,6,10,21,8,1,10,15,8,4,10,15,8,4,10,25,8,2,10,10,8,3,10,8,8,1,10,40,8,1,10,13,8,1,10,18,8,1,10,3,8,6,10,10,8,3,10,5,8,4,10,4,8,2,10,3,8,4,10,36,8,2,10,11,8,39,10,13,8,2,10,5,8,1,10,22,4,5,19,6,4,766,},
{4,752,3,7,14,3,3,3,14,4,3,3,14,4,16,3,17,2,16,3,17,3,16,1,17,2,16,5,14,1,15,1,10,6,8,1,10,3,8,2,15,2,14,3,16,61,17,2,16,14,17,1,16,18,17,1,7,1,8,2,7,1,6,1,17,1,16,7,17,1,14,9,15,1,8,1,15,2,14,3,15,1,8,3,15,4,14,4,16,6,14,4,3,3,14,2,15,1,8,2,9,4,10,1,9,1,10,8,9,7,8,2,18,1,15,2,14,8,17,1,16,32,17,2,16,24,17,1,14,2,15,7,8,1,15,4,14,2,3,1,16,17,3,2,14,13,17,1,16,40,14,1,8,1,10,3,8,1,15,1,8,3,10,9,8,1,18,4,15,1,14,1,3,1,16,6,3,1,14,1,18,1,10,17,8,6,15,1,14,7,15,1,8,1,10,3,8,1,15,1,14,5,15,4,14,4,15,3,14,2,3,1,14,6,3,7,14,10,3,1,14,5,17,8,14,15,15,1,8,3,15,7,14,1,15,1,14,7,15,3,14,9,15,4,14,9,15,3,14,11,15,4,14,61,7,6,8,4,7,9,14,5,7,11,6,2,14,1,7,26,8,1,7,6,8,3,7,3,8,17,10,1,8,10,10,5,8,7,7,2,8,12,10,1,8,11,10,16,8,2,18,1,8,17,10,16,8,5,10,3,8,9,10,7,8,5,10,11,8,6,10,8,8,17,10,21,8,1,10,3,8,6,10,3,8,9,10,5,8,6,18,4,8,28,10,2,8,5,10,9,8,3,10,1,8,6,10,11,8,2,10,39,8,1,10,6,8,4,10,37,8,5,10,15,8,3,10,25,8,1,10,8,8,6,10,48,8,2,10,13,8,1,10,18,8,2,10,1,8,7,10,10,8,3,10,4,8,6,10,2,8,3,10,4,8,4,10,36,8,1,10,11,8,26,10,4,8,7,10,28,8,2,10,14,8,1,10,1,4,4,19,3,4,769,},
{4,747,19,3,4,2,3,7,14,4,3,2,14,7,15,2,14,2,17,1,16,1,17,2,16,4,17,2,16,9,14,2,8,1,9,1,10,4,8,8,15,2,14,1,17,1,16,52,17,1,16,7,17,2,16,14,17,1,14,1,16,18,14,1,15,2,14,1,17,1,16,8,17,1,14,8,15,5,14,3,15,1,18,1,8,1,18,1,15,4,14,4,16,7,14,2,3,4,14,2,15,1,18,2,8,3,9,3,10,9,9,5,8,2,18,2,15,1,18,1,15,2,14,2,16,64,14,3,15,4,8,3,15,4,14,3,3,1,16,16,3,1,14,15,16,40,14,1,8,1,10,2,9,1,15,3,8,1,9,1,10,9,8,3,18,2,15,1,14,1,3,2,16,5,3,1,14,1,18,1,10,18,8,5,18,1,15,1,14,7,15,1,8,3,15,1,14,19,3,13,14,8,3,2,17,4,16,3,17,8,14,15,15,2,8,1,15,2,14,2,15,4,14,9,15,3,14,8,15,6,14,22,15,4,14,61,7,7,8,3,7,7,15,1,7,1,14,4,7,12,6,2,14,1,7,34,8,1,7,5,8,16,10,1,8,10,10,7,8,5,7,3,8,11,10,1,8,11,10,16,8,18,18,1,8,2,10,14,8,12,18,1,8,5,10,8,8,3,10,11,8,7,10,10,8,10,10,2,8,3,10,21,8,7,10,5,8,3,18,2,8,4,10,5,8,7,18,3,8,13,10,2,8,14,10,2,8,5,10,9,8,3,10,1,8,6,10,11,8,2,10,39,8,1,10,5,8,6,10,36,8,5,10,15,8,2,10,33,8,7,10,40,8,3,10,39,8,2,10,2,8,7,10,10,8,4,10,3,8,6,10,2,8,4,10,3,8,4,10,39,8,5,10,4,8,25,10,9,8,3,10,43,8,2,9,1,4,776,},
{4,746,19,4,4,2,3,4,16,1,3,2,14,3,3,4,14,6,15,3,14,4,17,1,16,4,17,2,16,9,3,1,14,2,15,1,8,1,10,3,8,10,15,1,14,1,17,1,16,59,17,1,16,35,17,1,14,1,7,1,14,1,16,9,14,9,15,4,14,5,15,2,8,1,15,4,14,3,16,8,3,6,14,3,15,3,18,1,8,3,9,1,10,10,9,4,8,1,18,6,15,1,14,2,16,66,14,2,15,10,14,4,16,9,17,1,14,4,3,1,17,1,3,1,14,4,15,2,14,7,17,3,16,39,14,1,8,1,10,2,8,1,14,3,18,1,8,1,10,7,9,1,8,4,18,2,15,1,14,2,3,1,16,1,3,2,16,1,3,2,14,1,18,1,10,18,8,5,18,1,15,1,14,8,15,3,14,19,3,14,14,7,16,11,14,4,17,3,14,12,15,7,14,16,15,3,14,9,15,3,14,24,15,10,14,43,7,1,15,3,7,1,14,7,7,19,14,4,7,13,14,2,7,34,8,1,7,5,8,16,10,1,8,12,10,5,8,5,7,3,8,23,10,17,8,8,10,1,8,7,18,2,8,2,10,14,8,17,10,22,8,8,10,13,8,2,10,2,8,2,10,4,8,2,10,21,8,7,10,4,8,4,18,2,8,2,10,4,8,9,18,4,8,13,10,3,8,26,10,3,8,10,10,52,8,1,10,5,8,9,10,22,8,3,10,8,8,5,10,48,8,9,10,40,8,3,10,38,8,4,10,1,8,6,10,6,8,1,10,4,8,5,10,1,8,7,10,2,8,5,10,2,8,3,10,39,8,6,10,4,8,25,10,10,8,2,10,43,8,2,9,1,4,776,},
{4,746,19,4,4,1,18,1,3,4,16,1,3,9,14,2,3,2,14,2,15,2,14,6,17,3,14,2,17,1,16,4,14,2,17,2,16,2,14,3,15,1,9,1,10,3,8,7,9,1,10,1,8,1,15,1,14,2,17,2,16,68,17,1,16,24,14,2,17,1,16,8,17,1,14,9,15,3,14,6,15,2,8,2,15,3,14,3,16,9,3,6,14,4,15,2,18,1,8,3,9,1,10,11,9,3,18,4,8,1,18,1,15,1,14,2,16,66,17,1,14,2,15,9,14,4,16,8,17,1,14,7,3,2,14,4,15,3,14,4,17,1,16,1,17,1,16,40,14,1,8,1,10,1,9,1,15,1,14,1,3,1,14,1,15,1,8,1,10,6,9,1,8,1,15,7,14,2,3,6,14,2,8,1,10,17,8,6,15,1,14,32,3,5,14,3,3,4,14,8,16,4,17,1,16,5,17,1,14,19,15,6,14,17,15,4,14,34,15,11,14,43,7,1,15,3,7,1,14,7,7,19,14,4,7,13,14,1,7,34,8,2,7,5,8,16,10,1,8,12,10,5,8,5,7,3,8,18,18,2,8,3,10,17,8,8,10,1,8,11,10,16,8,14,10,20,8,11,10,13,8,2,10,7,8,4,10,4,8,1,10,15,8,8,10,1,8,10,10,4,8,8,18,5,8,42,10,3,8,11,10,34,8,3,10,19,8,11,10,21,8,4,10,7,8,6,10,47,8,8,10,80,8,12,10,7,8,1,10,4,8,12,10,3,8,5,10,3,8,2,10,38,8,8,10,4,8,15,10,2,8,10,10,7,8,2,10,44,8,1,10,1,4,776,},
{4,746,19,4,4,2,18,1,3,15,16,2,3,1,14,2,15,1,14,6,17,2,14,4,17,3,14,9,16,1,14,1,8,1,10,8,8,2,9,1,10,2,8,1,14,2,17,2,16,68,14,1,16,35,17,1,14,17,15,3,8,2,15,3,14,3,16,9,3,2,14,3,3,3,14,3,15,1,18,1,8,4,9,1,10,12,9,1,8,2,18,3,15,2,14,2,3,1,16,67,14,5,15,5,14,3,3,1,16,2,3,1,14,2,16,2,17,1,14,15,15,4,14,2,16,5,17,3,16,21,17,1,16,13,14,1,15,1,8,2,14,1,3,1,16,1,14,2,8,1,10,5,8,1,15,2,14,2,15,4,14,4,3,1,14,2,3,1,14,2,15,1,8,1,10,17,8,5,15,1,14,35,3,1,14,5,3,5,14,7,16,4,17,2,16,4,14,20,15,4,14,10,15,3,14,7,15,6,14,28,15,7,14,50,15,4,7,1,14,7,7,2,14,2,7,15,14,4,7,20,8,2,7,19,8,2,7,4,8,4,7,4,8,39,7,3,8,18,18,2,8,3,10,18,8,7,10,2,8,10,10,10,8,1,10,15,8,2,10,4,8,7,10,10,8,12,10,22,8,4,10,3,8,2,10,14,8,20,10,3,8,2,18,3,8,4,18,5,8,43,10,2,8,11,10,36,8,1,10,19,8,3,10,3,8,7,10,19,8,6,10,6,8,5,10,10,8,2,10,35,8,8,10,79,8,12,10,14,8,12,10,2,8,5,10,32,8,19,10,3,8,4,10,3,8,12,10,1,8,8,10,7,8,2,10,6,8,2,10,37,4,777,},
{4,746,19,4,4,2,18,1,3,2,18,4,3,5,14,1,3,3,16,2,3,1,14,4,15,2,14,2,17,1,16,2,17,1,14,3,17,1,14,11,16,1,3,1,15,1,10,8,8,3,10,1,8,1,15,1,14,2,17,2,16,22,17,1,16,45,14,1,16,11,17,1,16,17,17,3,16,4,17,1,14,16,15,2,8,3,15,3,14,3,17,1,16,2,14,3,16,3,3,2,14,3,3,4,14,2,15,1,18,1,8,2,18,2,8,1,9,1,10,13,9,1,8,1,15,2,14,6,16,66,14,6,15,4,14,3,3,2,14,11,15,3,14,9,15,1,8,2,15,1,14,1,17,1,16,5,17,2,16,19,14,4,16,12,17,1,15,1,8,1,15,1,14,1,16,2,3,1,14,1,8,1,9,2,10,2,8,2,15,1,14,5,15,2,14,4,3,1,14,2,3,1,14,2,15,1,8,1,10,18,8,2,18,1,15,1,14,42,3,6,14,6,3,1,16,3,17,3,16,2,17,1,14,21,15,2,14,11,15,4,14,7,15,5,14,26,15,5,8,1,15,2,14,51,15,3,14,7,7,3,14,5,7,11,14,4,7,1,14,2,7,19,8,3,7,18,8,3,7,2,8,5,7,3,8,4,7,1,8,36,7,1,8,19,18,1,8,4,10,3,8,4,10,5,8,13,10,2,8,10,10,7,8,5,10,19,8,9,10,8,8,13,10,13,8,2,10,2,8,2,10,3,8,4,10,3,8,2,10,12,8,14,18,2,8,2,10,2,8,2,10,3,8,2,18,3,8,4,18,5,8,44,10,4,8,9,10,36,8,3,10,14,8,4,10,5,8,7,10,18,8,6,10,7,8,4,10,10,8,2,10,34,8,8,10,33,8,1,10,46,8,12,10,15,8,11,10,2,8,6,10,29,8,28,10,4,8,13,10,1,8,7,10,6,8,2,10,5,8,3,10,36,4,778,},
{4,746,19,5,4,8,18,1,3,5,14,1,3,5,14,2,15,3,8,1,15,1,14,1,16,3,17,1,14,2,17,1,14,3,17,2,14,7,16,1,3,1,14,1,8,1,10,7,8,2,15,1,8,2,14,3,16,24,17,1,16,57,17,2,16,15,17,1,14,3,17,1,16,3,17,1,14,16,15,1,8,3,15,5,14,3,16,1,14,4,16,3,3,1,14,4,3,4,14,3,15,3,14,2,15,1,18,1,8,1,9,1,10,3,9,6,10,3,8,1,14,8,16,67,14,24,15,2,8,3,15,2,14,1,15,1,14,4,15,4,14,1,17,1,16,5,17,1,16,18,14,2,15,1,8,1,15,1,14,1,16,13,14,3,3,1,16,2,3,1,14,1,15,1,8,4,15,2,14,13,3,4,14,1,15,1,8,1,10,18,8,2,18,1,15,1,14,42,3,6,14,6,3,1,16,5,17,3,14,35,15,4,14,7,15,5,14,25,15,1,8,2,15,6,14,48,7,1,14,1,15,3,7,3,14,3,7,5,14,7,7,35,8,3,7,18,8,11,7,2,8,41,7,1,8,24,10,2,8,24,10,1,8,5,10,1,8,4,10,7,8,5,10,19,8,11,10,2,8,12,10,18,8,2,10,2,8,3,10,2,8,5,10,2,8,1,10,12,8,15,18,2,8,2,10,3,8,1,10,2,8,3,18,2,8,5,18,5,8,44,10,6,8,10,10,33,8,3,10,3,8,1,10,9,8,5,10,7,8,6,10,17,8,6,10,7,8,3,10,46,8,7,10,35,8,2,10,45,8,12,10,15,8,11,10,3,8,5,10,29,8,27,10,4,8,12,10,16,8,2,10,5,8,3,10,23,8,1,10,9,4,781,},
{4,746,19,6,4,3,19,3,4,2,18,1,3,8,14,4,15,1,8,3,15,1,14,1,17,1,16,2,17,1,14,1,17,4,16,5,14,5,17,2,14,1,15,1,8,1,10,7,8,1,14,1,15,1,14,2,17,1,16,48,17,1,16,11,17,3,16,12,14,2,16,6,14,2,16,15,14,4,17,1,16,3,17,2,14,15,15,1,8,2,15,6,14,2,16,2,14,5,16,2,14,6,3,2,14,5,15,1,14,4,15,2,8,8,9,2,10,3,8,1,14,2,3,1,14,2,15,1,14,2,16,59,17,2,16,7,14,23,15,1,8,2,9,1,8,2,15,4,14,9,16,10,17,1,6,1,17,1,16,10,14,1,15,2,8,3,14,1,16,13,14,3,16,4,14,1,15,1,8,1,15,3,14,14,16,4,3,1,14,1,15,1,8,1,10,18,8,2,18,1,15,1,14,22,3,2,14,18,3,2,16,2,3,3,14,6,3,1,16,5,17,1,14,33,3,1,14,2,15,4,14,8,15,4,14,25,15,1,8,2,15,5,14,43,7,1,14,4,7,17,14,1,7,1,14,6,7,9,15,1,7,1,8,2,7,17,14,1,7,4,8,2,7,18,8,11,7,2,8,25,10,4,8,11,7,2,8,24,10,2,8,24,10,1,8,11,10,6,8,4,10,20,8,22,10,13,8,3,10,5,8,2,10,2,8,3,10,2,8,5,10,2,8,1,10,11,8,6,18,4,8,10,10,3,8,13,18,5,8,19,10,1,8,25,10,2,8,14,10,47,8,6,10,8,8,6,10,15,8,8,10,6,8,2,10,40,8,1,10,6,8,6,10,23,8,2,10,11,8,2,10,46,8,11,10,4,8,1,10,9,8,12,10,3,8,12,10,14,8,2,10,6,8,4,10,6,8,17,10,8,8,7,10,17,8,3,10,4,8,2,10,32,4,783,},
{4,747,19,11,4,3,3,7,14,5,15,1,8,2,10,1,8,1,15,1,14,1,16,2,14,2,17,1,16,8,17,1,14,4,17,2,3,1,14,1,15,1,8,2,9,1,10,4,15,1,14,3,17,1,16,61,14,3,16,12,14,2,16,6,17,1,14,1,17,1,16,14,17,1,14,3,17,1,16,3,17,1,14,16,15,2,8,1,15,5,14,3,3,1,16,1,14,5,16,3,14,19,15,2,18,3,8,4,9,1,10,3,8,1,14,2,3,1,14,2,15,2,14,1,16,59,17,1,14,1,17,1,16,6,17,1,14,2,3,1,17,1,16,1,3,1,14,16,15,1,8,2,9,2,8,4,15,2,14,8,17,1,16,9,14,3,17,1,16,7,3,1,14,1,15,1,8,1,9,1,10,2,8,1,14,1,16,6,14,1,16,13,14,2,15,1,14,8,3,2,14,7,16,4,3,1,14,1,15,1,8,1,10,19,8,1,18,1,14,33,15,3,14,7,3,7,14,2,17,1,16,1,14,2,3,1,16,5,14,5,17,4,14,28,15,5,14,36,15,4,14,33,15,5,14,7,7,4,14,3,7,4,8,3,7,16,14,1,7,10,15,1,8,4,7,15,14,3,7,23,8,11,7,2,8,25,10,5,8,6,7,3,14,3,7,1,8,13,18,1,8,10,10,2,8,12,10,2,8,9,10,2,8,10,10,6,8,1,10,23,8,18,10,17,8,4,10,8,8,4,10,2,8,3,10,15,8,5,18,2,14,2,18,2,8,11,10,1,8,3,18,2,8,7,18,7,8,50,10,5,8,5,10,47,8,5,10,10,8,6,10,13,8,10,10,5,8,1,10,40,8,3,10,4,8,5,10,25,8,1,10,13,8,2,10,46,8,4,10,1,8,12,10,5,8,11,10,6,8,13,10,12,8,3,10,6,8,2,10,9,8,16,10,5,8,1,10,2,8,7,10,17,8,2,10,12,8,2,10,13,4,795,},
{4,752,19,6,4,3,18,1,3,5,14,6,15,1,8,1,10,3,8,1,14,6,17,1,16,6,17,1,14,3,17,2,16,2,3,2,14,1,15,1,14,1,15,1,8,1,10,2,8,1,15,1,14,3,17,1,16,60,17,1,14,3,16,12,14,3,16,6,17,2,16,14,17,7,14,18,15,8,14,3,3,1,16,1,14,4,16,5,3,1,14,10,3,3,14,5,15,3,18,2,8,2,9,2,10,3,8,1,14,5,15,1,14,2,16,60,17,1,16,13,14,17,15,1,8,5,15,4,8,1,15,1,14,2,3,3,14,2,17,1,16,9,17,1,14,2,17,1,16,6,14,2,15,1,8,2,9,2,8,2,14,1,16,5,14,2,17,1,16,12,14,10,3,1,16,3,14,5,16,5,3,1,14,1,15,1,9,1,10,19,8,1,18,1,14,27,15,7,18,1,15,2,14,8,3,2,14,5,16,2,3,1,14,2,16,5,14,5,17,5,14,27,15,13,14,29,15,1,14,36,15,5,14,5,7,6,14,1,7,5,8,6,7,24,15,1,8,4,7,15,14,1,7,1,14,1,7,23,8,2,7,1,8,8,7,2,8,26,10,2,8,5,10,1,8,1,7,1,14,7,8,12,18,3,8,3,10,1,8,5,10,2,8,9,10,5,8,8,10,3,8,10,10,5,8,2,10,10,8,3,10,10,8,17,10,19,8,2,10,9,8,3,10,3,8,3,10,16,8,4,18,1,14,4,18,1,8,14,18,3,8,6,18,5,8,2,18,6,8,45,10,6,8,3,10,48,8,3,10,4,8,1,10,7,8,6,10,12,8,12,10,1,8,2,10,40,8,5,10,4,8,5,10,74,8,1,10,12,8,3,10,2,8,12,10,4,8,12,10,6,8,13,10,11,8,4,10,18,8,15,10,8,8,7,10,31,8,2,10,9,4,799,},
{4,752,19,5,4,5,18,1,3,5,14,2,17,1,14,2,15,1,8,2,10,2,8,2,14,6,17,1,16,4,17,1,14,3,17,1,16,5,3,4,14,2,15,3,14,3,16,62,17,1,14,2,17,1,16,13,14,2,16,7,17,2,16,18,17,2,14,16,15,10,14,8,16,7,3,1,14,8,3,1,16,2,3,1,14,6,15,3,8,3,9,1,10,3,9,1,8,1,15,1,14,7,16,73,14,18,15,3,8,2,15,5,8,2,14,3,3,2,14,3,16,10,17,2,16,6,14,2,15,2,8,5,15,1,14,2,16,4,14,2,16,14,14,4,3,2,14,3,16,5,14,3,17,1,16,5,14,2,15,1,8,1,10,19,8,1,15,1,14,26,15,10,14,16,16,2,3,1,14,1,3,1,16,5,14,5,17,2,16,2,17,2,14,26,15,1,14,1,15,11,14,66,15,5,7,1,14,3,7,7,14,1,7,6,8,6,7,24,8,4,7,44,8,8,7,2,8,35,14,8,7,1,8,5,10,1,8,5,14,3,8,3,10,2,8,4,10,3,8,6,10,8,8,2,10,1,8,4,10,4,8,9,10,4,8,3,10,2,8,4,10,3,8,4,10,11,8,15,10,31,8,3,10,3,8,3,10,11,8,1,10,4,8,4,18,1,14,4,18,2,8,12,18,4,8,5,18,5,8,4,18,6,8,20,10,1,8,22,10,8,8,2,10,48,8,2,10,5,8,2,10,7,8,6,10,10,8,16,10,36,8,9,10,4,8,4,10,75,8,3,10,15,8,13,10,3,8,12,10,4,8,15,10,11,8,4,10,15,8,1,10,4,8,12,10,57,4,6,19,4,4,790,},
{4,752,19,6,4,4,18,1,3,5,14,5,15,1,8,2,10,3,8,1,15,1,14,6,17,1,16,3,14,4,16,7,3,2,16,2,3,1,14,4,16,64,17,3,16,15,14,3,16,26,17,1,14,4,17,2,16,2,14,7,15,10,14,9,16,8,14,2,15,4,14,2,16,3,3,1,14,6,15,3,8,3,9,2,10,1,9,1,8,3,15,1,14,6,17,1,16,71,17,1,14,20,15,8,8,2,15,1,14,5,3,2,16,16,14,5,15,3,8,3,15,1,14,2,16,4,14,2,16,15,17,3,16,11,17,2,16,5,3,1,14,2,15,1,8,1,10,19,8,1,15,1,14,25,15,9,14,18,3,1,16,1,3,1,14,1,3,1,16,5,14,5,17,2,16,3,17,2,14,24,15,2,14,1,15,4,8,1,15,5,14,67,7,1,15,1,7,4,14,3,7,6,14,2,7,10,8,1,7,33,14,1,7,39,8,8,7,2,8,19,10,1,8,15,14,8,7,1,8,5,10,1,8,4,18,1,14,3,18,1,8,2,10,2,8,4,10,4,8,4,10,8,8,2,10,2,8,4,10,4,8,9,10,3,8,9,10,4,8,4,10,12,8,14,10,31,8,3,10,4,8,2,10,10,8,3,10,3,8,3,18,5,14,2,18,4,8,4,10,2,8,2,18,5,8,4,18,5,8,5,18,6,8,19,10,2,8,22,10,65,8,2,10,7,8,8,10,8,8,14,10,37,8,11,10,51,8,1,10,4,8,2,10,25,8,2,10,8,8,6,10,1,8,5,10,1,8,7,10,3,8,12,10,3,8,16,10,12,8,1,10,15,8,4,10,3,8,10,10,58,18,1,4,4,19,6,4,790,},
{4,753,19,5,4,5,18,1,3,4,14,2,17,1,14,2,15,2,8,2,10,3,8,1,14,2,3,1,14,5,16,3,14,2,17,1,16,6,3,4,16,16,17,2,16,55,17,1,16,14,14,4,16,25,17,1,14,3,17,1,16,4,14,7,15,3,14,4,15,2,14,10,16,8,14,2,15,1,8,3,15,1,14,1,16,3,14,7,15,3,8,3,9,2,8,3,9,2,8,1,15,1,14,6,16,71,17,1,14,21,15,2,18,2,15,2,18,3,15,2,14,6,3,2,16,12,14,8,15,7,14,1,16,4,14,2,16,16,17,2,16,18,3,1,14,2,15,1,8,2,9,3,8,4,10,7,9,2,10,2,8,1,15,1,14,23,15,9,14,21,16,9,17,1,14,5,17,2,16,3,17,2,14,23,15,2,14,1,15,7,14,70,7,1,15,1,7,1,14,2,7,1,14,11,7,15,14,2,7,16,14,2,7,8,14,2,7,17,14,1,7,21,8,29,10,1,8,14,18,1,7,1,14,8,8,11,14,3,18,1,8,1,10,4,8,3,10,14,8,4,10,2,8,5,10,4,8,7,10,4,8,4,10,1,8,5,10,3,8,4,10,18,8,7,10,32,8,3,10,4,8,3,10,10,8,2,10,2,8,3,18,7,14,4,18,1,8,3,10,4,8,1,18,3,8,5,18,6,8,1,10,2,8,3,18,6,8,43,10,57,8,1,10,16,8,8,10,7,8,14,10,33,8,2,10,2,8,11,10,55,8,3,10,26,8,1,10,7,8,12,10,4,8,5,10,4,8,6,10,3,8,3,10,2,8,11,10,2,8,2,10,28,8,6,10,2,8,11,10,27,8,1,10,29,18,1,4,3,19,7,4,790,},
{4,764,3,5,17,1,16,1,17,1,14,1,7,1,15,1,8,2,10,4,15,1,14,1,3,1,14,5,16,6,17,2,16,3,3,1,14,5,16,15,17,2,16,50,17,2,16,3,14,2,16,13,14,5,16,26,17,2,16,4,17,1,14,8,15,2,14,16,16,8,14,2,8,2,9,1,8,1,15,1,14,2,16,2,14,7,15,4,8,7,10,2,9,1,15,1,14,6,17,1,16,6,17,1,16,64,14,17,3,3,14,1,15,1,8,4,18,2,15,1,18,1,15,4,14,6,3,1,16,10,17,1,14,2,15,2,14,4,15,3,8,3,15,1,14,1,16,4,14,2,16,16,14,2,17,1,16,17,3,1,14,2,15,2,8,3,18,4,8,2,10,5,8,3,10,2,8,1,15,1,14,18,3,2,14,3,15,8,14,2,3,3,14,4,3,1,14,12,16,10,17,1,14,5,17,2,16,2,17,2,14,11,17,1,14,12,15,1,14,1,15,5,14,32,17,1,14,7,7,3,14,29,7,1,15,1,14,15,7,1,8,2,7,3,14,2,7,25,14,3,7,8,14,1,7,2,14,1,7,14,14,1,7,19,8,1,7,1,8,48,7,1,14,5,8,11,18,1,14,2,8,2,10,20,8,5,10,2,8,3,18,1,8,2,10,3,8,7,10,4,8,4,10,1,8,5,10,3,8,4,10,19,8,6,10,32,8,4,10,2,8,4,10,13,8,4,18,1,14,2,18,1,8,1,18,2,14,4,18,1,8,3,10,3,8,2,18,1,8,7,18,4,8,3,10,3,8,2,18,6,8,5,10,3,8,24,10,1,8,5,10,1,8,4,10,56,8,3,10,1,8,3,10,6,8,2,10,4,8,7,10,8,8,12,10,34,8,2,10,2,8,12,10,16,8,2,10,48,8,2,10,15,8,2,10,4,8,14,10,4,8,4,10,5,8,5,10,4,8,3,10,2,8,10,10,3,8,2,10,18,8,4,10,7,8,8,10,3,8,7,10,27,8,1,10,28,18,1,4,3,19,8,4,790,},
{4,765,18,2,3,2,16,2,17,1,14,3,15,1,8,1,10,4,8,1,14,7,16,5,17,2,16,3,17,1,14,2,15,2,8,1,15,1,14,2,3,1,16,12,17,2,16,13,17,1,16,36,17,2,16,3,14,2,16,12,17,1,14,6,16,31,14,27,3,2,16,6,14,2,8,1,9,1,10,2,8,1,15,1,14,1,16,2,14,7,15,6,8,5,10,3,8,1,14,7,16,6,17,1,16,64,14,12,15,2,14,3,3,3,14,1,15,1,8,6,18,1,15,1,18,1,8,2,15,3,14,4,3,1,16,9,17,1,14,2,15,4,14,4,15,6,14,1,16,4,14,2,16,16,14,3,16,18,3,1,14,2,15,2,18,7,8,1,10,5,8,1,18,1,8,2,10,1,8,1,15,1,14,21,15,7,14,4,3,10,14,10,3,1,16,11,17,1,14,4,17,3,16,3,17,2,14,9,17,2,14,14,15,2,14,42,7,2,14,30,7,2,14,5,7,1,14,9,15,1,8,2,7,3,14,3,7,23,14,4,7,8,14,1,7,2,14,1,7,35,8,49,7,1,14,5,8,11,18,3,8,2,10,7,8,2,10,11,8,9,18,2,8,3,10,2,8,7,10,4,8,3,10,3,8,3,10,4,8,3,10,23,8,3,10,32,8,4,10,2,8,8,10,4,8,3,10,4,8,2,18,1,14,1,18,5,14,3,18,2,8,2,10,4,8,2,18,1,8,7,18,4,8,3,10,3,8,2,18,2,14,1,18,4,8,5,10,2,8,10,18,3,8,17,10,1,8,3,10,6,8,3,10,47,8,8,10,6,8,2,10,5,8,6,10,7,8,12,10,35,8,2,10,2,8,10,10,18,8,2,10,48,8,2,10,21,8,6,10,2,8,5,10,6,8,3,10,5,8,5,10,4,8,16,10,21,8,5,10,7,8,9,10,2,8,7,10,48,8,2,10,6,4,3,19,9,4,790,},
{4,707,19,1,18,1,4,53,19,2,4,2,18,1,3,2,17,1,16,1,3,1,14,5,8,1,10,4,15,1,14,5,17,1,16,5,14,2,16,3,17,1,14,2,15,1,8,4,15,1,14,4,16,11,17,3,16,9,17,2,16,48,17,1,16,3,14,1,17,2,14,8,16,28,17,1,14,1,17,1,16,1,17,1,14,16,3,2,14,2,15,3,14,3,3,1,16,3,14,4,15,1,9,1,10,2,9,1,15,1,14,1,16,2,14,2,16,1,3,1,14,3,15,5,14,1,15,1,8,4,9,2,8,2,15,1,14,7,16,5,17,2,16,60,17,3,14,12,15,2,14,7,15,2,18,1,8,2,10,1,9,1,8,1,18,2,8,3,15,2,14,3,3,1,16,8,14,1,15,1,14,1,15,2,8,3,15,1,14,4,15,2,14,5,16,4,17,2,16,16,14,3,16,12,17,1,16,6,14,3,15,3,18,4,8,3,10,4,8,1,18,2,8,4,15,1,14,19,15,3,18,1,15,2,14,5,3,7,16,2,3,1,14,10,3,1,16,8,17,2,14,2,17,4,14,2,17,3,16,4,17,2,14,9,17,1,14,49,7,3,14,32,7,2,14,3,7,2,14,6,7,2,14,5,7,1,15,2,8,2,7,29,14,4,7,47,8,7,15,3,18,1,8,39,7,1,14,3,7,2,8,10,18,2,8,3,10,7,8,6,10,7,8,22,10,46,8,1,10,35,8,13,10,1,8,5,10,3,8,2,18,1,8,1,18,5,14,2,18,2,8,3,10,4,8,2,18,2,8,7,18,4,8,2,10,3,8,1,18,3,14,2,18,4,8,15,18,2,14,2,18,2,8,15,10,9,8,4,10,46,8,9,10,14,8,4,10,7,8,11,10,20,8,3,10,17,8,4,10,3,8,4,10,93,8,2,10,4,8,4,10,15,8,5,10,5,8,16,10,20,8,5,10,6,8,19,10,49,8,1,10,5,18,1,4,2,19,9,4,791,},
{4,707,19,1,3,1,19,1,4,52,19,3,4,3,18,1,14,1,3,3,14,4,18,1,10,4,8,1,14,6,16,5,14,2,16,5,14,2,8,1,9,1,10,2,9,1,15,1,14,1,8,1,15,1,14,1,16,11,17,2,16,8,17,2,16,4,17,1,14,1,17,1,16,2,17,2,16,28,17,1,16,9,17,1,16,3,17,2,14,11,16,10,14,2,17,1,16,1,17,4,16,8,14,2,17,1,16,2,17,1,14,5,17,1,14,6,15,1,14,3,3,1,14,1,15,1,8,2,15,1,14,3,3,1,16,2,17,1,14,4,15,1,8,1,10,2,9,1,15,1,14,1,16,2,17,1,16,3,14,4,15,4,14,2,8,4,9,1,8,3,15,1,14,8,16,3,17,1,14,2,17,1,16,59,14,26,15,1,18,1,8,1,9,1,10,1,8,3,18,4,15,2,14,2,3,1,16,7,17,1,15,1,8,4,9,2,8,2,14,3,15,3,14,2,3,2,16,12,17,1,16,10,17,3,16,12,17,1,16,7,14,3,15,2,18,5,8,1,18,1,8,1,10,3,9,1,8,1,18,1,8,3,15,2,14,17,15,3,8,3,18,1,15,1,14,2,3,8,16,5,3,1,14,9,3,1,16,8,17,1,14,4,17,1,16,2,17,4,16,6,17,1,14,9,17,1,16,1,17,2,14,39,17,1,14,5,7,4,14,32,7,5,14,8,7,2,14,5,7,1,15,2,8,2,7,29,14,4,7,36,14,2,7,10,8,4,15,6,8,40,7,5,8,10,18,1,8,4,10,6,8,7,10,7,8,20,10,84,8,9,10,1,8,3,10,1,8,5,10,3,8,2,18,1,8,2,18,2,14,3,18,2,8,3,10,5,8,2,18,2,8,7,18,5,8,1,10,3,8,1,18,3,14,3,18,3,8,2,10,1,8,11,18,3,14,3,18,2,8,14,10,9,8,4,10,44,8,10,10,10,8,1,10,4,8,4,10,6,8,11,10,20,8,4,10,9,8,4,10,4,8,4,10,3,8,3,10,101,8,3,10,15,8,6,10,4,8,16,10,18,8,6,10,7,8,19,10,54,18,1,4,3,19,8,4,792,},
{4,762,19,5,4,2,18,1,14,2,3,1,14,3,15,1,8,1,10,4,8,1,15,1,14,3,3,1,14,2,16,4,17,1,16,6,3,1,14,1,15,1,8,1,9,1,10,2,8,2,9,1,8,1,14,1,16,21,17,1,16,5,14,2,17,1,16,1,17,1,14,3,16,25,17,1,14,1,17,1,16,15,14,2,15,2,14,8,16,9,17,1,14,1,17,7,16,2,17,5,14,2,17,1,16,1,17,1,14,4,17,1,16,2,17,1,14,5,15,2,14,4,15,1,8,2,15,1,14,2,3,2,14,3,17,1,16,2,14,2,8,1,10,3,8,1,14,1,16,6,14,4,15,6,8,4,9,2,8,2,15,1,14,8,16,2,17,1,14,3,17,1,16,59,17,2,14,25,18,2,8,1,9,1,10,1,9,1,8,1,18,1,15,3,18,1,8,1,15,1,14,1,3,1,16,7,17,1,14,1,8,4,10,2,9,1,8,1,15,1,14,2,15,3,14,2,3,1,16,38,17,3,16,6,14,4,15,2,18,6,8,1,10,4,8,3,15,5,14,7,15,3,14,7,15,2,8,3,15,2,14,2,3,9,16,4,3,1,14,10,16,9,17,1,14,3,17,6,16,6,17,2,14,9,17,3,14,47,7,2,14,34,7,2,14,18,7,1,15,1,7,31,14,5,7,47,8,4,15,3,14,1,15,3,8,54,18,2,8,3,10,5,8,8,10,9,8,18,10,86,8,5,10,7,8,5,10,3,8,2,18,1,8,2,18,3,14,1,18,3,8,4,10,1,8,15,18,4,8,1,10,2,8,2,18,3,14,1,18,4,8,2,10,5,8,9,18,4,14,1,18,3,8,13,10,9,8,4,10,43,8,10,10,8,8,12,10,6,8,11,10,20,8,4,10,9,8,4,10,5,8,3,10,2,8,4,10,93,8,2,10,6,8,2,10,16,8,25,10,18,8,6,10,7,8,20,10,52,4,6,19,6,4,794,},
{4,762,19,6,4,1,10,1,18,1,14,1,3,2,14,2,15,1,8,2,10,3,9,1,8,1,15,1,14,2,17,1,14,2,16,11,3,2,14,1,15,1,8,1,10,6,15,1,14,1,16,26,17,2,16,4,14,2,16,26,17,1,16,17,14,11,16,10,14,1,17,2,14,2,17,2,16,2,17,1,14,7,17,3,14,3,16,4,17,1,14,5,15,3,14,2,15,1,8,3,15,1,14,7,16,3,17,1,14,1,15,1,9,1,10,1,9,1,8,1,14,2,16,6,14,4,15,2,8,1,15,2,8,8,15,1,14,8,17,3,14,3,17,1,16,61,17,1,14,6,17,2,14,17,15,2,18,1,9,2,8,1,18,2,15,1,18,1,8,3,15,1,14,1,3,1,16,6,14,2,8,3,10,4,8,1,15,6,14,2,16,37,14,3,17,2,16,6,3,1,14,7,15,1,18,4,8,1,10,3,9,1,8,1,15,8,14,4,15,5,14,6,15,2,8,2,18,1,15,2,14,2,3,8,16,6,3,1,14,9,3,1,16,8,17,2,14,5,17,1,16,6,17,2,14,11,17,2,14,8,17,1,14,95,7,1,15,1,7,31,14,5,7,34,14,1,7,12,8,5,15,5,18,1,8,54,18,2,8,3,10,4,8,9,10,9,8,17,10,100,8,4,10,2,8,2,18,3,8,1,18,6,8,21,18,2,14,1,18,1,8,5,18,6,8,4,10,7,8,9,18,2,14,3,18,2,8,12,10,8,8,5,10,41,8,10,10,8,8,14,10,3,8,13,10,10,8,1,10,9,8,4,10,8,8,5,10,6,8,9,10,93,8,2,10,15,8,2,10,8,8,24,10,16,8,8,10,7,8,20,10,52,4,6,19,6,4,794,},
{4,745,19,1,4,16,19,6,4,2,18,1,3,4,14,1,18,1,8,4,10,3,8,1,14,2,17,1,14,2,16,5,14,2,16,4,3,2,14,1,15,1,8,1,9,1,10,5,15,1,14,1,16,14,17,1,16,64,17,5,14,5,16,10,17,1,16,1,17,1,14,2,17,2,16,2,17,1,14,9,17,4,16,4,17,1,14,6,15,2,14,2,15,1,8,4,15,1,14,3,15,1,14,2,3,1,16,2,14,2,15,1,8,1,9,2,8,1,15,1,14,1,16,6,3,2,14,3,15,1,18,1,15,1,18,2,8,7,15,1,14,14,16,62,17,1,14,4,17,1,16,4,17,1,14,10,3,3,14,4,15,1,8,1,9,1,8,8,15,1,14,1,3,3,16,4,14,1,15,1,8,2,9,1,10,4,8,1,15,5,14,3,16,36,17,1,14,3,17,1,16,8,3,1,14,7,18,2,15,1,18,2,8,4,18,1,15,1,14,3,15,4,14,3,15,7,14,5,15,6,14,3,3,3,14,4,3,1,16,7,14,10,16,8,17,2,14,5,3,1,16,5,17,1,14,12,17,3,14,7,17,2,14,46,7,1,14,34,7,3,14,12,7,34,14,2,7,34,14,2,7,1,14,1,7,8,15,2,8,6,15,2,18,4,8,18,10,1,8,39,10,4,8,9,10,9,8,16,10,52,8,4,10,2,8,5,10,38,8,4,10,2,8,2,18,3,8,1,18,6,8,7,18,3,8,11,18,2,14,1,18,2,8,4,18,6,8,3,10,8,8,10,18,1,14,5,18,1,8,13,10,6,8,5,10,40,8,11,10,6,8,15,10,2,8,15,10,20,8,4,10,8,8,5,10,5,8,7,10,89,8,2,10,5,8,2,10,14,8,3,10,9,8,22,10,17,8,6,10,9,8,20,10,51,4,807,},
{4,745,19,1,4,20,19,1,4,3,18,1,3,4,14,1,18,1,8,4,10,3,8,1,14,6,16,3,14,4,16,2,14,5,8,2,10,4,8,1,15,1,3,1,16,19,17,1,16,21,17,1,16,42,17,1,14,2,17,2,16,12,17,1,14,2,17,1,16,4,17,1,14,8,17,2,16,4,17,1,14,12,15,1,8,5,18,2,8,2,15,1,14,2,3,2,14,3,15,1,8,3,15,1,14,3,16,5,3,2,14,2,15,1,18,5,8,6,15,2,14,12,17,1,16,63,14,4,16,6,14,10,3,7,14,1,15,1,18,1,8,1,9,3,8,4,15,1,14,2,3,1,14,2,16,2,14,2,15,3,8,1,10,3,9,1,8,1,15,3,14,4,16,30,14,1,16,6,14,1,15,2,14,1,17,1,16,8,3,1,14,7,18,3,14,2,18,4,15,2,14,3,15,4,14,4,15,17,14,3,3,2,14,5,3,1,16,7,14,10,16,8,17,2,14,5,3,5,14,13,17,4,14,8,17,2,14,27,15,1,14,9,7,2,14,5,7,2,14,17,7,1,14,16,7,4,14,11,7,38,14,2,7,29,14,5,7,7,15,1,8,9,18,1,8,1,18,1,8,60,10,4,8,10,10,3,8,4,10,1,8,15,10,53,8,9,10,1,8,1,10,34,8,2,10,2,8,8,18,2,8,2,18,5,8,6,18,2,14,2,18,1,8,2,18,2,8,7,18,2,14,2,18,1,8,5,18,5,8,3,10,8,8,11,18,1,14,4,18,1,8,13,10,6,8,5,10,40,8,10,10,6,8,16,10,2,8,15,10,20,8,1,10,20,8,7,10,89,8,5,10,3,8,3,10,12,8,5,10,10,8,6,10,1,8,13,10,18,8,5,10,8,8,13,10,1,8,6,10,50,18,1,4,808,},
{4,771,18,1,3,3,14,1,18,1,8,5,10,2,8,1,14,6,17,1,16,1,17,1,14,1,15,1,14,5,15,1,14,2,15,2,8,2,10,3,15,1,14,1,16,19,17,1,14,2,16,63,17,1,14,1,17,2,16,12,17,1,14,4,16,4,17,1,14,8,17,1,16,4,17,1,14,14,15,1,8,1,9,1,10,1,8,6,15,1,14,7,15,5,14,4,16,3,3,1,14,3,15,2,18,5,8,4,15,3,14,11,17,1,16,64,17,1,14,2,17,1,16,5,17,1,14,6,15,1,14,3,3,9,15,1,8,1,10,3,8,4,15,1,14,5,17,1,14,2,15,5,8,1,10,1,8,2,15,3,14,2,16,30,14,5,16,4,14,1,15,1,8,2,14,2,16,8,3,1,14,7,18,3,15,1,14,3,15,1,18,1,15,1,14,4,15,4,14,5,15,11,14,13,3,3,16,2,14,2,16,3,14,10,16,8,17,4,14,3,3,4,14,14,17,4,14,8,17,1,14,1,17,1,14,26,15,1,14,5,7,2,14,1,7,4,14,4,7,3,14,15,7,2,14,16,7,5,14,10,7,36,14,5,7,27,14,6,7,7,8,73,10,5,8,22,10,2,8,7,10,54,8,6,10,36,8,5,10,1,8,9,18,2,8,3,18,4,8,6,18,1,14,4,18,4,8,8,18,4,8,5,18,5,8,6,10,3,8,13,18,2,14,4,18,1,8,12,10,5,8,6,10,39,8,11,10,5,8,17,10,3,8,13,10,20,8,1,10,19,8,9,10,68,8,1,10,20,8,4,10,19,8,5,10,11,8,4,10,2,8,12,10,8,8,1,10,11,8,3,10,6,8,16,10,2,8,5,10,3,8,3,10,43,4,810,},
{4,772,18,1,3,3,18,1,8,1,9,2,8,2,10,1,8,1,15,1,14,6,17,1,16,1,14,2,15,1,14,4,15,6,8,5,15,1,14,1,16,20,14,2,17,1,16,63,17,2,16,14,17,1,14,2,17,1,16,5,17,2,14,5,17,1,16,5,17,1,14,4,17,1,14,9,15,1,8,1,10,7,8,1,15,1,14,9,15,4,14,3,3,3,14,3,15,2,18,6,8,4,15,7,14,8,16,65,17,2,16,5,17,1,14,6,15,2,14,3,3,9,14,1,18,1,10,2,9,1,8,1,18,1,8,3,15,2,14,7,15,1,14,3,15,2,14,4,15,1,14,1,16,19,17,1,16,10,3,1,14,1,8,3,14,1,16,4,14,1,15,1,8,2,14,2,16,8,3,1,14,6,15,1,18,2,8,1,18,1,14,1,3,2,14,1,15,3,14,4,15,2,14,9,15,2,14,4,15,1,14,14,3,3,16,2,14,2,16,3,14,10,16,2,17,1,3,3,17,4,16,5,3,3,14,15,17,4,14,43,7,2,14,2,7,3,14,4,7,2,14,33,7,10,14,6,7,14,14,3,7,18,14,6,7,27,14,6,7,7,8,73,10,5,8,22,10,2,8,7,10,54,8,4,10,31,8,1,10,1,8,1,10,2,8,22,18,4,8,5,18,2,14,3,18,5,8,8,18,4,8,6,18,3,8,15,18,2,8,8,18,1,14,3,18,1,8,12,10,4,8,7,10,39,8,11,10,5,8,2,10,8,8,8,10,2,8,13,10,20,8,1,10,18,8,5,10,2,8,3,10,5,8,2,10,60,8,2,10,20,8,4,10,19,8,4,10,1,8,1,10,3,8,2,10,6,8,2,10,3,8,12,10,8,8,2,10,16,8,19,10,2,8,5,10,4,8,2,10,43,4,810,},
{4,772,18,1,3,3,18,1,8,1,10,2,8,4,15,3,14,2,17,2,16,2,14,2,15,1,14,4,15,1,8,2,15,3,8,5,15,1,14,1,16,3,17,1,14,1,16,16,17,2,16,52,17,1,14,1,17,1,16,25,17,2,16,10,17,1,14,2,17,1,16,6,14,3,17,1,16,1,14,6,3,2,14,1,15,1,8,1,9,1,10,6,8,2,15,2,14,7,15,5,14,3,3,2,14,2,15,1,18,9,8,3,15,8,14,7,3,1,16,60,17,1,16,9,14,8,15,3,14,3,3,8,14,1,15,1,8,3,15,2,8,4,15,1,14,2,3,1,17,2,14,4,16,2,14,3,3,1,14,4,16,30,14,1,15,1,10,2,9,1,15,1,14,1,16,3,14,1,15,3,14,2,17,1,16,7,3,1,14,6,15,1,18,1,8,2,18,1,14,1,3,1,14,2,15,3,14,4,15,1,14,32,3,2,16,2,14,2,16,3,14,10,16,2,17,2,3,3,17,1,16,8,3,2,14,15,17,3,14,48,7,3,14,4,7,2,14,2,7,3,14,9,7,3,14,11,7,14,14,7,7,13,14,5,7,7,15,5,7,3,14,1,7,1,14,7,7,25,14,7,7,3,15,4,8,62,18,2,8,3,10,2,8,5,10,4,8,31,10,56,8,1,10,31,8,27,18,5,8,6,18,2,14,2,18,5,8,9,18,1,8,9,18,1,8,15,18,4,8,8,18,3,8,9,10,1,8,3,10,4,8,6,10,7,8,3,10,29,8,12,10,5,8,1,10,10,8,7,10,5,8,9,10,13,8,1,10,7,8,2,10,17,8,4,10,3,8,2,10,6,8,2,10,59,8,3,10,19,8,5,10,22,8,1,10,4,8,5,10,4,8,2,10,3,8,12,10,7,8,4,10,13,8,28,10,48,4,811,},
{4,773,18,1,3,3,18,1,9,1,10,2,8,6,15,1,14,1,17,1,16,3,3,1,14,3,3,1,14,3,15,1,8,2,15,2,8,2,15,2,8,2,14,1,16,3,3,1,14,1,3,1,16,15,17,2,16,12,14,1,17,1,16,38,14,3,16,38,17,1,14,1,17,1,16,11,14,2,15,1,14,3,3,2,14,2,8,2,10,7,8,1,15,3,14,7,15,5,14,5,15,1,18,8,8,5,18,1,15,2,18,5,15,2,14,6,3,1,16,59,14,1,17,1,16,7,14,9,15,3,14,4,3,7,14,2,15,5,8,4,15,1,14,2,3,1,16,3,17,1,14,1,16,3,17,1,14,1,16,3,14,3,16,20,17,1,16,9,14,1,8,1,10,3,15,1,14,1,16,3,14,1,15,2,14,3,17,1,16,6,14,8,15,1,18,1,8,1,9,1,8,1,14,4,15,3,14,39,16,2,14,2,16,3,14,9,17,1,16,2,17,1,3,1,14,1,3,2,17,1,16,9,3,2,14,14,17,4,14,17,17,5,14,26,7,1,14,9,7,5,14,3,7,8,14,10,7,11,14,1,7,2,14,8,7,12,14,9,7,4,15,3,7,3,14,1,7,1,14,8,7,22,14,8,7,5,15,1,8,65,18,2,8,3,10,2,8,7,10,1,8,29,10,91,8,20,18,2,8,5,18,4,8,8,18,7,8,23,10,3,8,10,18,5,8,8,18,1,8,13,10,5,8,6,10,7,8,2,10,30,8,12,10,4,8,3,10,9,8,7,10,7,8,7,10,13,8,1,10,6,8,2,10,19,8,2,10,4,8,2,10,66,8,4,10,11,8,4,10,4,8,5,10,24,8,8,10,4,8,2,10,4,8,12,10,6,8,4,10,12,8,30,10,46,4,812,},
{4,774,3,3,14,1,18,1,8,9,15,1,14,1,16,3,14,3,3,3,14,2,15,1,8,2,15,2,8,1,15,3,8,2,14,1,16,35,14,2,16,37,17,1,14,1,7,1,14,1,16,38,17,3,16,11,14,2,15,1,14,7,18,1,8,1,10,7,8,1,15,2,14,10,15,1,8,2,15,1,14,4,15,1,18,7,8,8,18,2,8,3,18,2,15,4,14,4,17,1,16,58,17,1,16,8,14,17,3,7,14,2,15,3,8,4,15,2,14,2,3,1,16,13,14,3,16,19,17,3,16,8,3,1,15,1,10,3,8,1,14,2,3,1,14,1,15,2,14,3,16,7,3,1,14,8,15,1,18,2,8,2,18,1,14,3,15,3,14,6,15,2,14,9,3,2,14,12,3,1,14,7,16,2,14,2,16,3,14,9,16,4,3,4,16,10,3,2,14,14,17,4,14,17,17,6,14,21,6,1,14,2,7,2,14,9,7,12,14,17,7,6,14,4,7,1,14,8,7,12,14,11,7,7,14,2,7,2,14,6,7,21,14,10,7,5,8,50,18,1,8,39,10,4,8,15,10,93,8,18,18,3,8,5,18,3,8,13,18,3,8,22,10,5,8,10,18,4,8,11,10,2,8,9,10,5,8,5,10,41,8,11,10,3,8,6,10,6,8,8,10,9,8,4,10,48,8,2,10,65,8,4,10,11,8,5,10,1,8,8,10,24,8,8,10,4,8,2,10,5,8,11,10,7,8,2,10,12,8,32,10,45,4,812,},
{4,774,18,1,3,3,14,1,18,1,8,1,10,4,8,1,10,1,8,2,14,1,16,3,14,1,3,7,14,1,15,1,18,1,15,3,14,2,15,1,8,2,14,1,16,21,17,1,16,12,17,1,14,1,17,1,16,31,17,6,14,3,17,1,16,39,17,3,16,9,17,1,14,2,15,1,14,7,15,1,18,1,8,2,10,5,8,1,15,1,14,11,15,1,9,2,8,1,14,4,15,2,18,1,14,2,18,2,8,19,15,3,14,4,17,1,16,65,17,1,14,16,3,8,14,2,15,1,8,3,15,2,14,5,16,13,14,3,16,19,17,1,14,1,17,1,16,2,17,2,16,4,3,1,15,1,10,3,8,1,15,1,14,3,15,2,14,2,16,7,3,1,14,9,15,1,18,4,15,1,14,3,15,2,14,7,15,2,14,9,3,6,14,3,3,6,14,8,17,1,14,2,17,2,14,10,16,4,17,1,3,2,17,1,16,11,3,2,14,14,17,3,14,17,17,8,14,19,6,1,14,14,7,13,14,2,7,4,14,19,7,1,14,8,7,16,14,7,7,1,14,1,7,4,14,3,7,3,14,1,7,23,14,11,7,5,8,51,18,1,8,38,10,6,8,13,10,95,8,17,18,3,8,4,18,2,8,15,18,3,8,2,10,1,8,18,10,6,8,12,18,2,8,11,10,3,8,7,10,6,8,4,10,43,8,9,10,3,8,8,10,3,8,10,10,11,8,2,10,47,8,3,10,65,8,4,10,10,8,6,10,1,8,8,10,23,8,9,10,5,8,1,10,5,8,12,10,20,8,30,10,1,8,1,10,45,4,812,},
{4,775,18,2,3,2,15,1,8,1,10,4,8,1,10,1,8,2,7,1,17,1,16,1,14,2,3,7,14,2,15,1,14,6,8,1,15,1,14,1,16,20,14,3,16,12,17,1,16,34,17,1,6,1,14,3,6,1,17,1,16,41,17,2,16,9,14,12,15,1,18,1,8,3,10,2,8,2,15,1,14,12,9,2,8,1,15,1,14,4,15,1,18,1,14,2,18,1,8,21,15,3,14,5,16,65,14,16,3,8,14,1,15,1,8,4,15,1,14,6,16,13,17,2,16,20,17,1,14,1,17,1,16,2,14,2,16,5,15,1,10,3,8,1,15,4,8,1,15,1,14,2,16,7,14,3,3,3,14,4,15,3,18,2,15,1,14,8,3,2,14,3,15,1,14,4,3,1,14,4,3,6,14,2,3,7,14,23,16,4,3,3,16,12,3,4,14,12,17,3,14,19,17,7,14,33,7,20,14,27,7,18,14,5,7,1,14,1,7,4,14,5,7,21,14,2,7,3,14,10,7,6,8,84,10,2,8,3,10,7,8,7,10,101,8,16,18,3,8,4,18,2,8,15,18,3,8,1,10,2,8,3,18,1,8,2,18,1,8,11,10,6,8,35,10,5,8,4,10,55,8,21,10,12,8,3,10,35,8,2,10,8,8,4,10,78,8,7,10,2,8,7,10,23,8,5,10,2,8,2,10,12,8,13,10,16,8,31,10,48,4,812,},
{4,777,18,4,8,1,10,2,8,6,14,5,3,4,16,2,3,1,14,4,3,2,14,2,15,2,14,1,3,2,16,18,14,3,16,4,17,4,16,20,17,1,16,18,17,1,14,1,7,2,14,1,16,53,17,1,14,14,18,1,8,5,18,1,15,1,14,12,8,1,9,1,8,1,15,1,14,3,15,1,18,4,8,23,15,4,14,5,16,63,14,8,17,1,14,7,3,4,14,5,15,1,8,1,9,1,8,1,15,6,14,2,17,1,16,35,17,1,16,3,14,2,3,1,16,3,3,1,15,1,10,3,8,1,15,5,14,2,3,1,16,7,3,1,16,3,3,2,14,3,15,2,14,2,18,2,14,9,3,1,16,1,14,6,3,5,14,2,3,14,14,12,17,1,14,11,16,3,3,1,14,2,3,1,17,1,16,14,3,4,14,9,17,2,14,25,17,1,14,23,7,1,14,10,7,20,14,27,7,19,14,4,7,1,14,1,7,5,14,7,7,26,14,6,7,7,15,1,8,81,10,6,8,1,10,10,8,3,10,103,8,15,18,3,8,3,18,2,8,3,10,3,8,10,18,3,8,1,10,2,8,2,18,3,8,1,18,1,8,6,18,2,8,2,10,6,8,3,18,2,8,30,10,6,8,4,10,56,8,7,10,4,8,6,10,15,8,3,10,17,8,2,10,19,8,1,10,2,8,1,10,2,8,4,10,79,8,6,10,4,8,6,10,22,8,6,10,3,8,1,10,12,8,13,10,15,8,23,10,2,8,7,10,5,8,5,10,37,4,813,},
{4,778,18,3,8,10,15,1,14,5,3,2,16,2,3,5,16,2,14,2,15,2,14,3,3,1,16,3,3,1,16,14,14,1,17,1,16,4,17,1,14,3,17,1,16,1,17,2,16,16,14,1,17,1,16,17,17,1,7,1,8,1,7,1,17,1,16,48,17,2,16,3,17,1,14,11,3,2,14,2,18,1,8,2,18,3,15,1,14,2,3,1,14,9,15,4,14,2,18,1,8,3,18,1,8,1,10,2,8,9,10,2,8,1,10,2,8,9,15,4,14,4,16,61,17,1,14,6,17,2,16,2,17,1,14,14,15,1,8,3,15,3,8,3,14,3,17,2,16,37,14,3,3,1,16,2,3,1,8,1,10,3,15,1,14,7,3,1,16,12,3,2,14,1,15,1,18,2,14,2,18,2,15,1,14,2,3,1,14,5,3,1,16,2,14,3,3,7,14,3,3,12,14,5,3,4,14,2,17,1,16,2,14,11,17,1,16,1,17,1,14,4,3,1,16,16,3,2,14,4,16,1,17,1,14,4,17,1,14,11,17,2,14,18,15,1,14,30,7,6,8,2,7,6,14,22,7,1,14,8,7,31,14,10,7,1,14,1,7,21,14,5,7,8,15,1,8,12,18,2,8,57,18,1,8,6,10,8,8,2,10,10,8,2,10,103,8,15,18,3,8,3,18,2,8,2,10,4,8,9,18,4,8,1,10,3,8,1,18,3,8,4,10,2,8,3,18,1,8,2,10,5,8,3,18,3,8,27,10,8,8,6,10,5,8,2,10,44,8,1,10,4,8,4,10,8,8,4,10,6,8,2,10,7,8,3,10,17,8,2,10,19,8,10,10,2,8,1,10,76,8,5,10,5,8,6,10,22,8,6,10,2,8,2,10,11,8,16,10,14,8,1,10,1,8,15,10,2,8,2,10,4,8,5,10,6,8,5,10,34,4,816,},
{4,779,18,2,15,3,14,2,15,1,8,5,14,2,15,3,14,1,3,1,16,3,3,2,14,1,3,3,14,3,15,1,14,2,15,1,14,1,3,1,16,1,14,2,3,1,16,20,14,3,16,20,14,1,17,1,16,17,6,1,7,1,8,1,7,1,16,55,14,6,15,3,14,1,3,3,14,2,18,1,8,2,15,4,14,2,3,2,14,10,15,4,18,1,8,3,18,1,8,1,10,2,8,3,10,5,8,3,10,4,8,10,15,3,14,5,16,59,17,1,14,5,17,1,16,5,14,10,15,2,14,1,15,2,8,3,15,2,8,3,15,1,14,5,17,1,16,36,17,1,14,2,16,3,14,1,8,1,10,3,15,1,14,4,3,2,14,2,3,2,16,10,3,1,14,2,15,3,14,2,15,2,14,2,3,3,14,4,3,1,16,1,3,1,14,3,3,8,14,2,3,12,14,6,3,2,14,3,17,1,16,2,14,11,16,1,17,2,14,4,3,1,16,16,17,1,14,4,17,3,14,3,17,1,14,8,17,2,14,2,17,2,14,42,7,2,14,6,7,12,14,32,7,6,14,2,7,19,15,4,14,8,7,25,14,6,7,2,14,5,15,1,8,12,18,3,8,63,10,8,8,3,10,8,8,4,10,93,8,2,10,8,8,8,18,2,8,4,18,3,8,3,18,2,8,2,10,4,8,9,18,4,8,1,10,3,8,2,18,1,8,5,10,2,8,7,10,3,8,4,18,2,14,1,18,1,8,25,10,8,8,6,10,6,8,2,10,31,8,7,10,5,8,3,10,16,8,3,10,6,8,2,10,7,8,4,10,16,8,2,10,18,8,11,10,2,8,1,10,54,8,1,10,21,8,6,10,5,8,5,10,22,8,6,10,2,8,2,10,7,8,8,10,3,8,9,10,16,8,12,10,3,8,4,10,3,8,5,10,44,4,818,},
{4,779,18,3,15,1,14,4,15,2,8,4,15,3,18,1,14,1,3,1,16,2,3,1,14,11,15,1,8,2,15,1,14,3,3,1,16,40,14,4,16,18,14,1,7,2,14,1,16,55,17,1,14,2,15,3,8,1,15,2,14,1,3,3,14,1,15,1,8,1,10,1,8,1,15,2,14,3,3,3,14,10,8,2,15,3,18,1,8,1,18,1,15,2,8,2,9,1,10,1,8,1,10,5,8,3,10,3,8,8,18,3,8,1,15,2,14,3,3,1,14,3,16,56,17,1,14,6,16,5,3,2,14,10,15,3,8,2,15,3,8,1,9,2,8,1,14,1,3,2,14,4,16,42,14,2,8,1,9,1,8,1,15,2,14,2,3,3,14,3,3,1,16,10,14,3,15,2,14,14,3,2,14,4,3,8,14,25,3,1,16,2,14,6,3,1,17,1,14,3,16,2,17,1,14,3,17,3,16,1,17,2,16,8,17,2,14,1,17,9,14,39,17,2,14,2,7,3,14,25,7,3,14,38,7,3,14,8,7,22,14,4,7,28,14,12,15,1,8,13,15,1,18,2,8,16,10,2,8,4,10,4,8,2,10,1,8,1,10,4,8,8,18,2,8,17,10,9,8,4,10,5,8,7,10,92,8,3,10,12,8,2,18,3,8,5,18,2,8,21,18,2,8,3,10,1,8,26,18,1,14,1,15,1,18,1,8,4,10,8,8,10,10,5,8,1,10,4,8,5,10,41,8,5,10,6,8,6,10,14,8,1,10,16,8,4,10,16,8,2,10,17,8,10,10,57,8,1,10,23,8,9,10,3,8,3,10,22,8,5,10,3,8,3,10,7,8,7,10,6,8,7,10,4,8,1,10,5,8,1,10,5,8,11,10,4,8,12,10,40,8,3,18,1,4,2,19,4,4,812,},
{4,778,18,1,3,1,18,2,14,6,7,1,8,8,18,1,14,1,3,2,14,3,15,2,14,7,15,1,8,3,15,2,14,1,3,1,16,40,7,3,14,1,16,13,17,1,16,4,14,1,7,1,14,1,16,58,14,2,15,1,8,3,15,1,14,1,3,3,14,1,15,1,8,1,10,2,8,1,15,1,14,2,3,4,14,4,3,1,14,4,15,1,9,1,10,1,8,1,15,5,14,2,15,1,8,1,10,2,9,1,10,5,8,4,10,2,8,8,18,1,8,4,18,1,15,1,14,8,17,1,16,53,17,1,14,3,17,3,16,2,3,6,14,9,15,3,8,2,15,2,8,1,9,1,10,1,9,1,15,1,14,1,3,2,14,4,17,1,16,30,17,1,16,2,17,2,16,6,3,1,14,1,15,1,8,3,15,1,14,2,3,1,14,6,3,1,16,8,17,1,14,59,3,2,14,5,3,1,16,3,14,2,16,3,17,1,14,2,17,5,16,8,17,1,14,4,17,6,14,4,17,2,14,33,17,4,14,1,7,5,14,12,7,5,14,48,7,3,14,7,7,23,14,4,7,4,8,5,7,22,14,9,15,1,8,13,15,1,18,2,8,16,10,1,8,4,10,8,8,1,10,4,8,6,18,2,8,6,18,4,8,9,10,9,8,5,10,4,8,7,10,5,8,2,10,6,8,1,10,78,8,3,10,13,8,1,18,3,8,5,18,2,8,21,18,2,8,30,18,1,14,2,15,1,18,1,8,3,10,8,8,2,10,4,8,3,10,11,8,5,10,6,8,1,10,33,8,6,10,6,8,7,10,30,8,5,10,33,8,9,10,57,8,3,10,21,8,11,10,3,8,3,10,22,8,5,10,2,8,2,10,9,8,7,10,7,8,6,10,3,8,2,10,5,8,1,10,5,8,11,10,4,8,12,10,39,8,4,18,1,4,1,19,5,4,812,},
{4,778,18,1,3,2,14,8,7,1,8,5,10,3,18,1,14,15,15,5,14,1,3,1,16,7,3,1,16,32,7,3,14,1,16,17,17,1,14,2,17,1,16,35,17,1,14,3,17,1,16,18,17,1,14,2,15,1,8,2,15,1,14,1,3,3,14,1,15,1,8,1,10,2,9,1,8,1,15,1,14,1,3,4,14,4,3,2,14,2,15,1,8,1,10,2,8,1,15,5,14,2,15,1,8,1,9,1,10,1,9,1,10,4,8,2,18,1,8,3,10,2,8,13,15,2,14,7,17,1,16,47,17,13,16,1,3,7,14,8,15,2,14,2,15,4,8,1,9,2,8,1,14,2,3,1,14,2,15,1,14,2,17,1,16,32,17,1,14,1,17,1,16,6,14,2,15,1,8,3,15,2,14,10,16,7,14,4,15,2,14,54,3,2,14,5,3,1,16,3,14,2,16,4,17,6,16,8,17,2,14,3,17,6,14,4,17,3,14,33,17,3,6,1,14,2,7,5,14,9,7,6,14,48,7,4,14,8,7,22,14,4,7,5,8,4,7,20,14,11,8,15,18,1,8,23,10,3,8,7,10,2,8,6,18,4,8,4,18,4,8,9,10,9,8,4,10,5,8,7,10,4,8,3,10,5,8,2,10,86,8,5,10,3,8,2,18,2,8,5,18,2,8,21,18,2,8,14,18,1,8,15,15,1,14,2,15,2,8,6,10,2,8,4,10,4,8,5,10,10,8,5,10,5,8,2,10,29,8,10,10,7,8,7,10,28,8,5,10,33,8,7,10,81,8,15,10,2,8,2,10,22,8,8,10,11,8,6,10,9,8,5,10,3,8,3,10,3,8,2,10,5,8,27,10,38,8,5,18,1,4,1,19,5,4,812,},
{4,779,3,5,14,5,7,2,8,4,10,4,8,1,15,1,14,5,15,3,14,9,15,1,14,1,3,1,16,4,3,2,18,2,3,1,16,6,17,2,16,23,17,1,7,1,14,1,16,5,17,1,16,12,14,3,16,33,17,2,14,5,17,1,16,19,17,1,14,2,15,3,14,2,3,1,14,2,15,1,10,4,9,1,15,1,14,1,3,4,14,3,3,3,14,1,15,1,8,1,10,3,8,1,15,8,8,2,9,1,8,6,18,1,15,1,18,1,8,3,10,5,8,5,9,1,8,3,18,1,15,2,14,8,16,46,17,1,14,3,17,1,14,1,17,3,16,5,3,7,14,7,15,2,14,5,15,1,8,1,9,1,8,1,15,2,14,4,15,2,14,2,17,1,16,32,17,1,14,1,17,1,16,6,14,2,15,1,8,4,15,2,14,9,16,7,14,5,15,1,14,62,16,3,14,2,16,5,17,2,14,1,17,2,16,4,17,5,14,1,17,9,14,4,17,3,14,26,17,1,14,6,6,2,14,5,7,4,14,6,7,9,14,48,7,5,14,7,7,11,14,2,7,9,14,5,7,5,8,2,7,21,14,11,8,40,10,1,8,9,10,1,8,7,18,5,8,2,18,3,8,10,10,8,8,3,10,6,8,9,10,3,8,3,10,5,8,3,10,83,8,7,10,3,8,9,18,2,8,37,18,1,8,15,18,1,14,1,15,3,18,1,8,11,10,5,8,4,10,10,8,4,10,6,8,2,10,29,8,10,10,8,8,6,10,25,8,6,10,35,8,6,10,82,8,18,10,23,8,7,10,13,8,5,10,10,8,4,10,3,8,3,10,3,8,2,10,7,8,4,10,5,8,15,10,5,8,2,10,27,8,10,4,2,19,5,4,812,},
{4,779,18,1,3,4,14,6,7,1,15,1,14,1,15,1,8,2,10,3,8,3,15,1,14,1,15,3,8,2,15,1,14,1,17,1,16,2,17,1,14,2,15,3,14,1,3,1,16,2,3,2,18,1,4,2,18,1,3,1,16,5,14,3,17,1,16,29,17,1,16,11,17,1,14,3,16,31,6,1,7,2,14,2,17,1,16,24,17,1,14,2,15,2,14,5,8,1,10,4,9,1,15,1,14,1,3,3,14,4,3,2,14,2,15,1,8,1,10,3,8,1,15,8,8,7,15,5,18,1,8,2,10,2,8,8,9,1,8,3,18,1,15,4,14,7,17,1,16,44,17,1,14,3,17,1,14,1,17,3,16,6,3,1,14,12,15,2,14,5,15,1,8,1,9,1,8,1,15,1,14,10,16,32,17,1,14,1,17,1,16,6,14,2,15,1,8,5,15,2,14,3,3,3,14,2,16,7,17,1,14,68,17,1,14,3,16,5,17,1,14,3,17,1,16,4,17,1,14,1,17,14,14,31,17,2,14,12,7,21,14,44,7,2,14,1,7,5,14,7,7,22,14,6,7,27,14,11,8,50,10,2,8,8,18,8,8,11,10,4,8,5,10,5,8,12,10,1,8,5,10,3,8,6,10,9,8,1,10,71,8,8,10,2,8,9,18,2,8,46,10,1,8,7,18,6,8,10,10,5,8,3,10,11,8,3,10,7,8,2,10,29,8,10,10,5,8,2,10,1,8,5,10,16,8,2,10,7,8,6,10,36,8,6,10,82,8,17,10,25,8,6,10,14,8,3,10,12,8,3,10,4,8,2,10,2,8,3,10,7,8,4,10,5,8,5,10,1,8,10,10,4,8,2,10,27,8,10,4,2,19,5,4,812,},
{4,779,18,2,3,4,14,10,8,1,9,1,10,4,8,2,15,3,8,3,15,1,14,1,16,5,14,3,15,1,14,2,16,3,3,1,4,4,18,1,3,1,16,4,14,4,17,1,16,8,17,1,14,4,16,15,14,1,16,11,17,1,14,2,17,1,16,30,6,1,14,1,7,1,14,2,17,1,16,26,17,1,14,7,15,1,8,1,10,4,9,1,8,1,14,2,3,2,14,4,3,2,14,1,15,1,8,5,15,2,14,2,15,1,8,3,15,2,8,2,15,3,14,2,15,4,18,1,8,2,10,2,9,1,8,11,18,1,15,1,18,2,15,1,14,10,16,47,17,1,14,3,17,4,16,2,14,17,3,2,14,2,15,1,8,1,15,1,14,11,16,32,14,2,17,1,16,6,3,1,14,1,8,6,15,2,14,3,3,1,16,1,3,2,17,1,16,8,14,72,17,1,16,4,14,4,17,1,16,4,17,1,14,3,17,1,16,6,17,6,14,31,17,1,14,12,7,21,14,43,7,3,14,2,7,4,14,8,7,21,14,6,7,28,14,10,15,1,8,49,10,2,8,9,18,6,8,14,10,1,8,6,10,3,8,20,10,2,8,11,10,2,8,6,10,45,8,1,10,23,8,9,10,2,8,68,18,4,8,11,10,16,8,2,10,40,8,9,10,4,8,2,10,2,8,3,10,18,8,1,10,8,8,6,10,36,8,6,10,83,8,16,10,14,8,1,10,45,8,4,10,4,8,6,10,8,8,3,10,5,8,4,10,3,8,9,10,3,8,3,10,31,8,2,18,1,8,2,10,1,4,2,19,5,4,812,},
{4,780,18,1,3,4,14,2,15,3,7,1,14,4,15,1,8,1,10,4,8,1,15,1,14,2,15,1,8,3,15,1,14,1,16,8,14,3,3,1,16,2,3,1,18,1,4,4,18,1,3,1,16,4,14,2,16,11,14,4,16,15,14,1,17,1,16,10,14,3,16,28,17,4,16,33,14,6,15,1,8,2,10,3,9,1,8,1,15,1,14,6,3,2,14,2,15,1,8,2,15,4,14,3,15,1,8,3,15,6,14,3,15,2,18,2,8,3,10,3,8,11,18,1,15,1,18,2,15,2,14,10,17,1,16,46,14,7,17,1,16,1,14,17,3,1,16,1,3,1,14,1,15,3,14,4,15,1,14,6,17,1,16,3,17,1,16,6,17,2,16,4,17,1,16,14,14,2,16,8,14,1,8,1,10,1,9,1,8,3,15,2,14,3,3,1,16,12,14,72,17,4,14,5,17,1,16,4,17,2,14,2,17,1,16,6,17,6,14,40,7,2,14,3,7,11,14,5,7,4,14,43,7,3,14,2,7,5,14,8,7,22,14,4,7,28,14,11,8,49,10,1,8,12,18,4,8,21,10,1,8,57,10,48,8,1,10,7,8,9,10,3,8,47,10,3,8,17,18,4,8,10,10,16,8,1,10,42,8,8,10,4,8,5,10,29,8,5,10,39,8,6,10,81,8,11,10,3,8,1,10,15,8,1,10,45,8,5,10,4,8,4,10,10,8,3,10,4,8,4,10,3,8,8,10,4,8,3,10,32,8,4,10,1,4,2,19,5,4,812,},
{4,780,18,1,3,4,14,2,15,4,14,4,15,1,8,1,10,4,8,1,14,4,8,4,14,2,16,7,3,1,14,1,15,1,14,1,16,3,18,1,4,5,18,1,3,1,16,16,14,4,16,15,14,1,17,1,16,9,17,1,14,2,17,1,16,28,17,2,16,36,14,5,15,2,8,6,15,2,14,8,15,1,8,1,9,1,15,3,14,5,15,1,8,3,15,1,14,3,15,1,14,4,15,1,8,5,10,4,8,7,9,1,8,4,18,4,15,3,14,10,16,45,14,8,3,1,14,17,3,1,16,2,14,7,15,3,14,5,17,1,16,2,17,1,14,1,17,1,16,5,17,2,16,3,17,3,16,13,14,2,16,8,14,1,8,1,10,1,9,1,8,2,15,2,14,4,3,2,16,11,3,1,14,79,17,1,16,4,17,3,14,2,17,1,16,4,17,3,14,4,17,1,14,39,7,17,14,6,7,3,14,34,7,2,14,7,7,3,14,2,7,3,14,12,7,21,14,5,7,10,14,2,7,6,14,1,7,6,14,13,15,2,8,7,18,1,8,53,18,2,8,38,10,1,8,41,10,25,8,2,10,1,8,2,10,5,8,3,10,8,8,3,10,6,8,9,10,3,8,29,10,3,8,13,10,5,8,17,18,5,8,5,18,2,8,3,10,15,8,1,10,42,8,8,10,6,8,3,10,28,8,6,10,25,8,4,10,1,8,4,10,7,8,5,10,76,8,2,10,1,8,11,10,66,8,6,10,2,8,5,10,10,8,3,10,5,8,3,10,3,8,8,10,4,8,4,10,1,8,3,10,27,8,3,10,2,4,2,19,5,4,812,},
{4,781,18,1,3,3,14,2,15,4,14,4,15,1,8,1,10,3,8,1,15,1,14,1,3,2,14,1,15,1,8,3,15,1,14,2,17,1,16,6,14,1,15,1,14,1,3,1,16,2,3,1,4,6,18,1,3,1,16,16,14,3,16,25,14,3,17,1,16,67,14,6,15,4,8,3,15,2,14,7,15,2,9,2,15,3,14,5,15,1,8,3,15,1,14,3,15,2,14,3,15,1,8,5,10,4,8,5,10,3,8,5,18,4,8,1,15,2,14,10,17,2,16,8,14,1,17,1,16,32,17,1,14,7,17,1,14,18,16,3,14,5,15,4,14,5,16,4,17,2,16,5,14,2,16,3,17,3,16,12,17,1,14,2,16,8,14,1,8,1,10,2,9,1,8,1,15,2,14,6,3,1,16,10,14,13,3,1,14,41,3,1,14,23,17,1,16,3,17,4,14,4,17,6,14,45,7,5,14,1,7,12,14,41,7,5,14,5,7,3,14,2,7,4,14,12,7,19,14,7,7,9,14,1,7,6,14,4,7,3,14,15,15,1,8,7,18,1,8,53,18,2,8,38,10,2,8,40,10,10,8,4,10,10,8,7,10,4,8,4,10,7,8,6,10,4,8,8,10,3,8,29,10,3,8,13,10,5,8,17,18,5,8,5,18,2,8,3,10,61,8,6,10,5,8,3,10,25,8,9,10,25,8,9,10,7,8,5,10,72,8,18,10,58,8,2,10,6,8,6,10,2,8,9,10,13,8,3,10,4,8,7,10,5,8,9,10,27,8,1,10,3,9,1,19,6,4,812,},
{4,781,18,1,3,3,14,7,15,1,14,2,15,1,8,1,9,1,10,1,9,1,8,1,14,1,3,1,16,2,3,1,14,1,8,4,15,1,14,2,16,7,14,3,16,2,3,1,18,1,4,6,3,1,16,43,14,3,17,1,16,26,17,2,16,40,14,10,15,2,8,1,15,2,14,6,15,2,8,1,9,1,8,2,15,2,14,5,15,1,8,3,15,1,14,1,3,1,14,1,15,2,14,2,15,2,8,5,10,4,8,4,10,5,8,11,15,1,14,12,16,5,17,1,14,4,17,1,16,31,17,1,14,25,16,6,14,2,15,3,14,6,16,4,17,3,16,3,17,1,14,2,17,1,16,2,17,2,16,13,14,3,16,8,14,1,8,1,10,2,9,1,8,1,15,1,14,7,3,2,16,8,17,1,14,13,3,3,14,3,3,1,14,33,3,3,16,4,3,1,16,4,3,1,14,4,16,1,14,7,16,5,17,1,14,7,17,4,14,47,7,5,14,1,7,14,14,39,7,5,14,5,7,3,14,2,7,5,14,12,7,17,14,9,7,6,8,1,7,8,14,4,7,4,14,8,17,2,14,4,15,1,8,13,18,2,8,48,18,2,8,36,10,2,8,6,7,2,8,32,10,9,8,6,10,9,8,8,10,3,8,5,10,6,8,3,10,6,8,9,10,3,8,28,10,4,8,13,10,5,8,17,18,5,8,10,10,29,8,3,10,30,8,4,10,6,8,3,10,13,8,4,10,7,8,5,10,20,8,1,10,8,8,10,10,10,8,1,10,73,8,18,10,58,8,4,10,4,8,6,10,2,8,10,10,11,8,5,10,2,8,6,10,7,8,9,10,31,18,1,4,1,19,4,4,813,},
{4,781,18,1,3,3,14,7,15,4,8,2,9,1,8,2,15,1,3,1,16,2,3,1,14,1,15,1,8,3,15,1,14,1,16,9,14,2,16,3,3,1,4,6,3,1,16,7,17,1,16,34,14,1,15,2,14,1,16,27,17,1,16,40,14,12,15,3,14,6,15,1,8,6,15,3,14,4,15,1,8,4,14,3,15,3,14,1,15,3,8,11,10,6,9,3,8,5,9,1,8,2,15,2,14,13,17,2,14,7,16,34,14,4,17,3,16,1,17,1,14,9,3,1,16,2,14,2,16,6,14,2,15,3,14,6,16,3,17,1,14,2,17,1,16,3,17,1,14,2,17,1,16,1,17,3,16,12,17,1,14,3,16,8,14,1,8,1,10,4,8,1,15,1,14,2,3,1,14,4,3,2,16,7,14,14,3,3,14,1,3,1,14,7,3,3,14,17,3,2,14,5,3,4,16,10,3,1,14,2,17,1,16,1,17,1,14,5,17,1,16,5,17,1,14,5,17,5,14,26,7,3,14,19,7,5,14,2,7,3,14,2,7,9,14,38,7,5,14,5,7,3,14,1,7,7,14,13,7,14,14,10,7,5,8,2,7,8,14,4,7,4,14,8,17,2,14,4,8,13,18,1,15,1,18,1,8,48,18,3,8,43,7,2,8,8,10,3,8,21,10,9,8,6,10,10,8,9,10,4,8,7,10,8,8,13,10,1,8,27,10,3,8,15,10,5,8,10,10,1,8,7,18,4,8,11,10,23,8,8,10,30,8,4,10,6,8,3,10,13,8,4,10,7,8,5,10,20,8,1,10,8,8,10,10,85,8,18,10,58,8,3,10,5,8,5,10,2,8,11,10,10,8,12,10,8,8,9,10,31,4,819,},
{4,781,18,1,3,3,14,7,15,1,8,8,15,1,14,1,3,3,14,1,15,2,8,2,15,1,14,1,16,9,3,2,16,4,3,1,4,5,18,1,16,7,17,1,16,32,17,1,14,2,15,1,14,1,17,1,16,67,17,1,14,12,15,1,14,4,3,1,14,2,15,1,8,5,15,1,8,2,15,2,14,4,15,2,8,1,9,1,8,1,15,1,14,2,15,10,8,9,10,8,9,2,8,4,9,1,8,3,15,3,14,21,17,4,16,29,17,1,14,2,17,1,16,5,14,8,16,3,17,1,16,7,14,2,15,2,14,7,16,2,17,1,14,4,16,4,14,3,17,2,16,14,14,4,16,7,3,1,15,1,9,1,10,3,9,1,8,1,14,2,3,1,16,1,3,1,14,3,3,1,16,8,14,15,3,2,14,8,3,7,14,13,3,4,14,4,3,4,16,2,3,1,14,2,3,1,16,3,3,1,14,4,16,2,14,5,16,6,17,1,14,5,17,5,14,26,7,5,14,18,7,4,14,8,7,3,8,3,7,3,14,36,7,6,14,9,7,2,14,1,7,9,14,10,7,12,14,11,7,4,8,3,7,8,14,4,7,5,14,11,15,1,8,11,18,3,15,1,18,1,8,39,10,1,8,8,18,3,8,43,7,2,8,8,10,1,8,17,10,5,8,2,10,8,8,4,10,14,8,8,10,3,8,7,10,8,8,17,18,2,8,21,10,3,8,17,10,5,8,8,10,2,8,22,10,22,8,8,10,31,8,4,10,7,8,1,10,14,8,4,10,7,8,4,10,31,8,9,10,3,8,2,10,83,8,17,10,57,8,2,10,7,8,3,10,2,8,11,10,1,8,1,10,8,8,12,10,7,8,2,10,2,8,5,10,31,4,820,},
{4,782,3,3,14,1,15,1,14,4,15,1,8,6,18,1,8,3,14,6,15,3,14,2,16,10,3,1,16,5,3,1,4,5,3,1,16,19,17,2,16,18,14,5,16,41,17,4,16,23,14,18,3,1,14,2,15,1,8,4,15,3,8,1,15,2,14,4,15,1,8,2,9,2,8,1,15,1,14,7,15,5,18,4,8,5,10,8,9,1,8,4,9,1,8,5,15,2,14,24,17,1,16,29,17,3,16,6,14,7,16,11,14,11,17,2,14,5,17,1,16,3,14,3,17,3,16,12,17,1,14,3,17,1,16,7,14,1,8,1,10,4,9,1,15,1,14,2,3,1,16,1,3,4,16,10,14,15,3,1,14,8,3,1,16,1,3,5,14,32,3,1,14,6,17,1,16,1,17,1,14,3,16,7,17,1,14,5,17,6,14,25,7,8,14,27,7,4,8,1,7,2,15,1,14,37,7,10,14,2,7,5,14,1,7,9,14,10,7,11,14,12,7,1,15,3,8,5,7,3,14,8,7,7,14,8,15,1,8,11,15,1,18,1,15,3,8,122,10,4,8,4,10,5,8,4,10,16,8,8,10,2,8,9,10,6,8,18,18,2,8,21,10,3,8,13,18,2,8,2,10,5,8,8,10,2,8,14,10,4,8,4,10,23,8,7,10,31,8,4,10,21,8,6,10,5,8,4,10,33,8,2,10,1,8,4,10,3,8,4,10,84,8,15,10,1,8,1,10,55,8,3,10,7,8,1,10,3,8,11,10,1,8,2,10,8,8,11,10,6,8,4,10,37,4,820,},
{4,782,18,1,3,2,14,1,15,1,14,5,8,3,18,4,8,3,15,2,8,2,15,2,14,5,16,17,18,1,4,5,3,2,16,18,17,1,16,17,14,1,15,2,14,2,16,6,17,2,16,33,6,1,14,4,17,1,16,14,17,2,16,5,17,1,14,21,15,1,8,2,15,8,14,4,15,2,8,2,10,1,9,1,15,1,14,8,15,8,18,1,8,10,10,2,9,1,8,7,10,2,8,3,15,1,14,24,17,1,16,28,17,3,16,7,14,6,16,10,14,12,17,2,14,5,17,1,16,3,14,4,17,2,16,12,14,3,17,1,16,7,3,1,15,1,9,1,10,3,8,2,14,2,3,2,16,1,3,3,16,11,14,24,3,6,14,11,3,1,14,29,16,12,17,1,14,5,17,6,14,25,7,10,14,16,7,3,14,6,7,5,15,2,7,1,14,37,7,3,14,2,7,5,14,3,7,3,14,3,7,8,14,10,7,11,14,13,7,1,15,2,8,5,15,1,7,1,14,9,7,8,14,6,15,1,8,12,15,4,18,1,8,55,10,2,8,32,7,2,8,31,10,4,8,4,10,5,8,4,10,6,8,1,10,2,8,2,10,1,8,1,10,7,8,16,10,5,8,18,18,2,8,22,10,2,8,10,18,4,8,4,10,5,8,1,10,1,8,21,10,4,8,4,10,23,8,6,10,31,8,5,10,20,8,16,10,36,8,4,10,3,8,4,10,81,8,8,10,7,8,5,10,55,8,3,10,11,8,13,10,11,8,9,10,5,8,5,10,36,4,821,},
{4,782,18,1,3,2,14,7,15,5,18,1,9,1,8,1,15,3,8,4,15,1,14,5,16,17,3,1,4,7,3,1,16,19,17,1,16,15,14,1,8,2,15,1,17,1,16,40,17,1,14,5,17,1,16,14,17,7,16,2,17,2,14,18,15,11,14,4,15,3,8,1,10,1,9,1,15,1,14,8,15,2,8,2,18,1,15,3,18,1,8,10,10,2,9,1,8,6,10,4,9,1,8,2,15,1,14,23,17,1,16,28,17,1,14,2,16,7,17,1,14,6,17,1,16,8,14,12,16,2,14,6,17,1,16,1,17,1,14,4,17,1,16,13,14,3,16,8,14,1,8,1,10,4,8,1,14,3,3,5,17,1,16,11,14,25,3,1,14,13,3,3,14,8,3,2,14,18,17,1,16,12,14,34,15,2,14,1,7,11,14,15,7,4,14,7,7,6,14,37,7,2,14,4,7,4,14,4,7,2,14,3,7,8,14,10,7,11,14,14,7,1,15,2,8,4,15,1,7,1,14,10,7,7,14,6,15,1,8,12,15,3,18,2,8,53,10,5,8,13,10,4,8,13,7,1,14,1,7,2,8,38,10,4,8,6,10,8,8,7,10,5,8,17,10,2,8,19,18,1,8,3,10,1,8,28,18,3,15,2,18,1,8,6,10,6,8,23,10,1,8,5,10,17,8,1,10,6,8,4,10,31,8,5,10,20,8,16,10,37,8,4,10,4,8,1,10,81,8,9,10,9,8,4,10,55,8,4,10,9,8,13,10,13,8,8,10,4,8,6,10,35,4,822,},
{4,782,18,1,3,3,14,11,18,3,14,2,15,1,8,1,10,2,8,1,15,1,14,5,16,17,3,1,18,1,4,7,3,1,16,19,17,2,16,12,14,1,15,1,8,1,15,1,14,1,16,42,17,1,14,3,17,1,16,16,17,5,16,6,17,1,14,16,15,10,14,5,15,2,8,2,10,1,9,1,15,1,14,6,15,4,8,2,15,2,14,2,15,1,8,10,10,2,9,1,8,6,10,6,8,2,15,2,14,22,17,1,16,3,17,1,16,24,17,3,16,6,14,7,16,8,14,12,16,4,14,4,17,1,16,2,17,1,14,3,16,15,14,2,17,1,16,8,14,1,8,1,10,3,8,1,14,2,3,7,17,1,16,11,3,1,14,3,3,1,14,67,17,1,16,7,17,2,14,12,17,1,14,21,15,4,7,13,14,13,7,4,14,3,7,1,14,47,7,1,14,4,7,3,14,4,7,4,14,3,7,9,14,6,7,15,14,12,7,1,15,3,8,2,15,2,7,1,14,12,7,5,14,6,15,1,8,13,18,1,15,1,18,2,8,48,10,10,8,14,10,3,8,3,15,1,8,8,7,2,14,1,7,1,8,14,18,1,8,15,10,5,8,2,10,6,8,6,10,8,8,7,10,5,8,17,10,1,8,16,10,2,8,34,18,8,8,5,10,3,8,25,10,3,8,3,10,26,8,2,10,30,8,8,10,13,8,21,10,38,8,3,10,12,8,1,10,73,8,11,10,68,8,3,10,9,8,14,10,1,8,3,10,8,8,8,10,3,8,8,10,34,4,822,},
{4,782,18,1,3,3,14,9,3,1,14,3,15,1,14,1,15,1,14,1,15,1,8,3,15,1,14,1,16,1,17,1,14,2,16,18,3,1,4,8,3,1,16,31,17,1,15,3,14,1,16,20,17,1,16,44,17,3,16,7,17,1,14,5,15,2,14,9,15,9,14,7,15,1,8,1,10,2,8,1,15,1,14,6,15,1,8,3,15,3,14,3,15,1,8,1,10,1,8,8,10,3,9,1,8,3,10,8,9,1,8,2,18,1,15,1,14,22,17,1,16,29,17,1,14,1,16,4,17,1,14,6,16,8,14,13,16,4,14,3,17,1,16,3,17,1,14,2,16,16,14,2,17,1,16,8,14,1,9,1,10,2,8,1,15,1,14,2,3,3,17,2,14,2,17,1,16,12,3,1,14,30,3,3,14,19,16,1,14,20,17,1,16,3,17,2,14,10,17,4,14,21,15,3,14,1,7,15,14,17,7,2,14,53,7,2,14,3,7,7,14,2,7,18,14,1,7,11,14,10,7,1,15,4,7,5,14,14,7,4,14,5,15,1,8,6,10,1,8,7,18,5,8,4,18,3,8,38,10,10,8,22,15,1,8,7,7,3,8,29,10,14,8,6,10,2,8,3,10,4,8,6,10,6,8,17,10,2,8,4,18,3,8,7,10,3,8,28,10,1,8,10,18,2,14,2,18,1,8,3,10,1,8,7,18,2,8,16,10,6,8,2,10,57,8,12,10,7,8,1,10,1,8,19,10,28,8,2,10,8,8,3,10,9,8,2,10,3,8,3,10,73,8,11,10,63,8,3,10,2,8,1,10,6,8,3,10,1,8,18,10,8,8,7,10,4,8,13,10,28,4,823,},
{4,782,18,1,3,3,14,5,15,1,14,2,3,4,14,2,15,4,8,3,14,2,16,22,3,1,4,8,18,1,16,31,14,1,15,2,14,1,16,20,17,1,14,2,17,2,16,51,17,1,14,5,8,2,14,3,17,2,14,4,15,9,14,7,15,1,9,1,10,2,8,1,15,2,14,5,15,1,8,3,15,2,14,4,15,1,8,10,10,4,9,2,10,11,8,2,18,1,15,1,14,6,15,4,14,12,17,1,16,9,17,1,16,18,14,2,16,3,17,1,14,6,17,1,16,8,14,12,16,5,14,3,16,5,17,2,16,16,17,1,14,1,17,1,16,7,14,1,15,1,10,2,9,1,15,1,14,2,3,3,14,2,17,1,14,2,16,13,3,1,14,13,3,1,14,28,16,2,3,1,14,7,16,1,14,21,17,4,14,11,17,1,16,1,17,2,14,21,15,3,14,2,7,2,14,9,7,4,14,14,7,4,14,42,7,1,14,7,7,1,14,1,7,13,14,3,7,17,14,4,7,8,14,10,7,5,14,20,7,3,14,5,15,1,8,4,10,4,8,8,18,2,8,5,18,4,8,36,10,10,8,8,18,1,8,14,15,1,8,37,10,16,8,5,10,3,8,3,10,14,8,19,10,3,8,3,18,1,14,1,18,2,8,6,10,3,8,25,10,1,8,14,18,1,14,3,8,27,10,8,8,2,10,57,8,14,10,5,8,21,10,28,8,2,10,8,8,3,10,9,8,3,10,2,8,3,10,64,8,1,10,8,8,3,10,2,8,6,10,63,8,3,10,2,8,1,10,5,8,18,18,2,8,3,10,8,8,6,10,5,8,2,10,3,8,4,10,1,8,3,10,28,4,823,},
{4,782,18,1,3,2,14,6,15,2,14,1,3,4,14,1,15,2,18,2,8,4,14,2,16,22,3,1,4,8,18,1,16,31,14,1,15,1,14,2,16,20,17,1,14,2,17,2,16,28,17,2,16,22,14,5,15,2,14,1,17,1,16,4,14,2,15,9,14,8,15,1,9,1,10,2,8,2,15,1,14,5,15,1,8,2,15,2,14,2,15,3,18,1,8,10,9,1,10,3,9,1,10,11,8,4,18,1,15,5,8,2,15,4,14,11,17,1,16,27,17,1,14,2,16,3,14,7,16,9,14,11,3,1,16,5,14,2,17,1,16,23,14,1,17,1,16,8,14,1,8,1,10,2,8,1,14,2,3,1,16,2,3,1,14,3,17,1,16,14,14,6,3,3,14,5,3,1,14,29,3,1,14,21,3,1,17,1,14,7,17,3,14,13,17,2,14,22,15,3,14,3,7,1,14,28,7,3,14,49,7,15,14,4,7,7,14,2,7,17,14,16,7,3,14,19,7,3,14,6,8,4,10,4,8,15,18,4,8,36,10,7,8,62,10,18,8,5,10,3,8,3,10,12,8,18,10,2,8,1,10,3,8,3,18,3,8,4,18,1,8,2,10,3,8,4,10,2,8,19,10,1,8,14,18,2,14,1,18,1,8,27,10,67,8,15,10,4,8,21,10,27,8,2,10,9,8,2,10,10,8,4,10,1,8,3,10,64,8,1,10,8,8,3,10,3,8,4,10,64,8,2,10,9,8,8,18,1,8,10,18,1,8,3,10,8,8,5,10,6,8,1,10,4,8,3,10,32,4,824,},
{4,782,18,1,3,2,14,5,15,1,8,2,15,1,14,1,3,1,14,2,15,1,18,2,8,6,14,2,16,23,18,1,4,7,18,1,3,1,16,30,14,2,17,1,16,22,17,4,16,27,17,4,16,21,17,1,14,7,16,5,17,1,14,2,15,5,14,2,15,1,14,8,15,1,9,1,10,2,9,1,8,2,14,4,15,2,8,2,15,5,8,3,18,2,8,5,18,2,8,7,10,9,8,16,15,3,14,10,17,1,16,25,14,4,16,2,17,1,14,7,3,1,14,4,16,4,14,11,16,31,17,1,14,1,17,1,16,8,15,1,10,3,8,1,14,2,3,1,16,2,3,1,14,4,16,13,3,1,14,5,3,5,14,46,17,1,3,1,14,8,3,1,16,3,17,1,14,50,7,2,14,74,7,20,14,4,7,7,14,2,7,17,14,16,7,5,14,11,7,1,14,5,7,4,14,5,8,5,10,3,8,16,18,1,8,38,10,3,8,1,10,1,8,20,18,2,8,40,10,18,8,18,10,7,8,18,10,2,8,8,18,3,8,2,18,1,14,1,18,1,8,1,10,3,8,4,10,3,8,3,18,1,8,13,10,2,8,22,18,1,14,1,18,1,8,2,10,3,8,12,10,70,8,3,10,1,8,36,10,20,8,2,10,5,8,1,10,15,8,2,10,5,8,4,10,1,8,3,10,64,8,2,10,6,8,4,10,3,8,4,10,64,8,1,10,4,8,1,10,5,8,24,10,9,8,3,10,6,8,2,10,2,8,4,10,32,4,824,},
{4,777,19,3,4,2,18,1,3,2,14,4,15,2,8,3,15,1,14,3,15,2,18,1,8,2,10,2,8,2,15,1,14,2,16,22,18,1,4,7,18,1,14,1,16,29,17,1,14,1,17,1,16,26,17,2,16,26,17,6,16,20,17,1,14,4,17,1,16,7,14,3,15,2,14,4,15,1,14,8,8,1,9,1,10,1,9,3,8,1,14,4,15,1,8,4,15,3,18,1,8,3,18,3,8,3,18,8,15,1,18,1,8,1,10,5,8,13,10,3,8,6,15,3,14,8,17,1,16,11,14,2,17,1,16,8,17,1,14,5,16,2,14,13,3,1,16,3,3,1,14,4,3,1,16,1,3,2,14,2,16,31,17,1,14,1,16,8,14,1,8,1,10,3,15,1,14,2,3,1,16,2,14,5,17,1,16,12,14,6,3,5,14,18,3,1,14,16,3,1,17,2,3,2,14,5,3,1,16,2,14,10,17,1,16,1,14,47,15,2,7,7,14,71,7,21,14,3,7,7,14,2,7,17,14,16,7,7,14,1,7,1,14,7,7,3,14,2,7,6,14,4,15,1,8,5,10,1,8,56,10,3,8,1,10,1,8,20,18,1,8,40,10,18,8,23,10,4,8,6,10,1,8,10,10,2,8,9,18,4,14,2,18,1,8,2,10,1,8,2,18,1,8,2,10,3,8,16,10,3,8,21,18,1,14,3,8,3,10,2,8,10,10,13,8,1,10,58,8,3,10,1,8,10,10,2,8,24,10,20,8,1,10,5,8,2,10,15,8,3,10,4,8,3,10,2,8,3,10,64,8,2,10,6,8,5,10,3,8,2,10,65,8,1,10,2,8,4,10,3,8,2,18,2,8,21,10,10,8,1,10,6,8,10,10,30,4,825,},
{4,776,19,4,4,1,18,1,3,3,14,2,15,4,8,3,15,6,18,1,8,2,10,2,8,2,15,1,14,2,16,8,17,1,16,13,3,1,4,6,18,2,14,1,16,28,17,1,14,2,16,27,17,1,14,1,17,1,16,25,17,2,16,2,17,3,16,20,17,2,16,10,17,1,14,9,15,1,14,6,15,1,8,2,9,1,8,2,9,1,8,1,14,4,15,1,8,1,9,2,8,8,18,1,15,1,18,1,8,2,18,2,15,6,14,2,15,1,8,18,10,4,8,9,15,1,14,7,17,1,16,10,14,5,17,1,16,4,17,1,14,7,16,2,14,5,16,1,3,2,14,6,3,1,16,1,3,1,14,3,3,1,16,4,3,1,14,2,16,31,14,1,17,1,16,8,14,1,10,4,15,1,14,3,16,2,14,5,17,1,16,11,14,7,3,5,14,34,3,1,16,6,3,1,14,4,3,1,14,49,7,3,14,2,7,1,14,5,15,2,7,8,14,69,7,22,14,2,7,27,14,13,7,10,14,8,7,8,8,3,7,2,14,3,15,1,8,62,10,3,8,63,10,17,8,25,10,11,8,21,18,1,14,5,18,1,8,4,18,1,8,2,10,2,8,16,10,4,8,22,18,1,14,3,8,15,10,11,8,3,10,46,8,2,10,9,8,3,10,1,8,7,10,5,8,23,10,27,8,2,10,16,8,1,10,6,8,2,10,3,8,2,10,64,8,2,10,5,8,6,10,3,8,2,10,62,8,3,10,4,8,3,10,3,8,2,18,2,8,22,10,15,8,12,10,13,18,1,4,840,},
{4,776,19,4,4,1,18,1,3,3,14,2,15,6,8,3,18,2,15,2,18,1,8,6,15,2,14,1,16,5,14,1,17,2,14,1,17,1,16,12,3,1,18,1,4,5,18,1,14,3,17,2,16,25,17,1,14,1,17,1,16,27,17,3,16,25,17,2,16,2,17,1,14,2,17,1,16,36,17,1,14,4,15,1,14,6,15,1,8,3,15,1,8,3,14,4,15,1,8,1,9,1,10,1,9,1,8,7,18,1,15,1,18,4,15,2,14,6,3,1,14,1,18,1,8,4,18,1,8,13,10,3,8,4,10,5,8,1,15,1,14,7,17,1,16,8,14,19,16,2,14,3,3,1,16,3,3,1,14,7,3,2,14,3,16,5,14,3,16,14,17,1,16,15,17,1,14,1,16,9,14,1,10,3,9,1,15,1,14,3,3,1,16,1,14,5,17,1,16,8,17,2,14,7,3,2,16,1,3,3,14,12,3,1,17,2,3,1,14,18,16,8,14,54,7,6,15,2,14,3,15,2,7,9,14,68,7,22,14,3,7,9,14,5,7,13,14,10,7,12,14,8,7,8,8,3,7,2,15,1,14,1,15,2,8,63,10,1,8,64,10,17,8,14,10,2,8,10,10,10,8,21,18,1,15,1,14,5,18,1,8,24,10,4,8,23,18,1,14,5,15,1,18,1,8,12,10,9,8,3,10,8,8,1,10,11,8,2,10,23,8,4,10,2,8,2,10,4,8,11,10,6,8,15,10,1,8,6,10,26,8,3,10,73,8,1,10,20,8,2,10,6,8,5,10,3,8,3,10,61,8,2,10,5,8,2,10,4,8,2,18,2,8,22,10,15,8,13,10,11,4,842,},
{4,776,19,4,4,1,18,1,3,3,14,2,15,2,14,4,15,1,8,2,9,1,18,2,15,1,18,1,8,7,14,2,16,5,17,1,16,2,17,1,16,14,3,1,4,4,18,1,3,2,17,1,14,3,17,1,16,25,17,2,16,27,17,3,16,24,17,3,16,3,17,1,14,1,17,1,16,37,17,1,14,10,15,6,8,1,15,1,14,1,16,1,14,3,8,2,9,2,8,7,18,1,15,2,18,3,15,1,14,7,3,1,14,1,15,1,8,1,18,6,8,10,10,14,8,1,15,2,14,7,17,2,16,4,14,20,3,2,14,1,3,1,16,5,3,1,14,12,3,1,16,3,3,1,14,4,3,1,16,12,17,1,16,15,17,2,16,9,14,1,9,1,10,2,8,1,15,1,14,4,16,2,17,1,14,3,17,1,16,7,17,2,14,8,3,2,16,1,3,3,14,11,3,1,16,4,14,18,16,8,3,1,14,53,7,6,15,2,14,3,15,2,7,8,14,69,7,21,14,6,7,7,14,8,7,12,14,8,7,6,14,1,7,5,14,8,7,8,8,4,7,1,15,1,14,2,15,2,8,128,10,16,8,12,10,5,8,9,10,1,8,5,10,1,8,25,18,7,8,24,10,4,8,24,14,7,15,1,8,18,10,2,8,3,10,8,8,1,10,10,8,4,10,22,8,9,10,4,8,9,10,6,8,16,10,1,8,6,10,15,8,3,10,7,8,4,10,73,8,1,10,20,8,2,10,7,8,3,10,4,8,4,10,25,8,3,10,31,8,3,10,11,8,2,18,1,8,21,10,17,8,12,10,11,18,1,4,842,},
{4,776,19,4,4,1,18,1,3,3,14,2,15,1,14,6,15,1,8,2,18,3,8,8,14,1,17,1,16,24,3,1,18,4,3,1,14,3,7,2,14,1,16,25,17,2,16,27,17,3,16,24,17,3,16,4,17,1,16,39,14,10,15,3,14,2,15,3,14,1,3,2,14,2,15,1,8,6,9,3,8,1,18,1,15,1,18,3,15,7,14,2,3,1,14,1,15,1,8,1,18,1,15,2,18,2,8,4,10,2,8,3,10,16,8,1,15,2,14,36,3,1,16,5,3,1,14,2,3,1,14,7,15,1,14,2,3,1,16,1,3,1,14,7,16,17,17,1,14,1,17,1,16,7,17,1,16,10,14,1,8,1,9,2,15,2,14,4,16,3,17,3,16,8,17,1,14,8,3,3,16,1,3,2,14,11,3,2,16,4,14,18,16,8,17,1,14,8,3,1,16,1,14,13,3,1,14,28,7,7,15,2,14,3,15,2,7,6,14,31,15,4,14,37,7,1,15,1,7,2,14,1,7,14,14,8,7,6,14,8,7,14,14,4,7,8,14,1,7,5,14,8,7,9,8,2,7,3,14,2,7,1,15,1,8,5,10,3,8,119,10,9,8,5,10,4,8,5,10,12,8,5,10,3,8,64,10,2,8,21,10,1,8,3,18,1,14,7,8,18,10,23,8,5,10,21,8,10,10,7,8,7,10,3,8,25,10,15,8,3,10,6,8,5,10,12,8,1,10,90,8,3,10,4,8,3,10,1,8,1,10,23,8,5,10,29,8,3,10,12,8,10,10,3,8,11,10,17,8,6,10,2,8,2,10,14,4,842,},
{4,776,19,4,4,1,18,1,3,3,14,5,17,1,16,1,14,3,15,5,18,2,15,1,18,1,8,2,9,1,8,1,14,2,16,25,3,2,18,1,14,5,7,1,8,1,7,1,17,1,16,7,14,2,17,1,16,15,17,2,16,20,17,1,14,1,17,1,16,2,14,4,16,71,17,1,14,1,17,1,14,12,15,3,14,1,16,1,3,1,14,3,15,1,8,3,9,1,10,4,8,2,15,1,18,3,15,8,14,3,15,1,8,1,18,1,15,3,18,2,8,1,9,1,10,4,8,1,10,12,8,2,10,3,8,2,15,1,14,19,3,1,14,5,3,1,16,2,3,1,14,7,3,1,16,5,3,1,14,2,3,1,14,6,15,1,8,2,15,1,14,3,15,2,14,5,3,1,16,15,17,1,14,3,16,18,14,2,15,3,14,5,16,4,17,1,16,9,17,1,14,4,3,6,16,2,3,3,14,3,3,2,14,6,3,2,16,3,17,1,14,17,16,8,17,1,14,7,3,1,16,2,3,1,14,8,17,1,14,32,7,7,15,1,14,31,15,3,14,8,15,8,14,35,15,1,14,4,7,3,14,1,7,8,14,9,7,7,14,6,7,35,14,4,7,15,14,4,15,2,8,4,10,3,8,118,10,8,8,7,10,5,8,3,10,21,8,3,18,2,8,34,10,1,8,25,10,1,8,21,10,1,8,3,18,1,15,1,14,5,15,1,8,18,10,23,8,5,10,21,8,10,10,16,8,25,10,25,8,5,10,12,8,2,10,91,8,1,10,5,8,2,10,25,8,5,10,26,8,6,10,12,8,9,10,7,8,8,10,17,8,4,10,19,4,843,},
{4,776,19,4,4,1,18,1,3,3,14,13,15,2,18,1,15,1,14,1,15,1,8,2,10,1,8,1,15,1,14,1,16,26,3,2,14,6,7,2,14,1,16,8,14,2,17,1,16,14,17,2,16,2,17,1,16,17,14,3,17,1,14,6,17,1,16,70,17,1,16,1,17,1,14,11,15,3,14,1,16,2,3,1,14,2,15,1,8,2,9,1,10,5,8,5,18,2,15,2,18,1,8,3,15,2,14,2,18,1,8,1,18,1,15,3,18,2,8,1,10,17,8,5,10,1,8,3,15,1,14,17,3,2,14,4,3,1,16,4,14,8,3,1,16,3,3,1,14,1,3,3,14,6,15,1,8,1,9,1,8,1,15,5,14,2,15,2,14,2,16,15,14,1,15,2,14,1,16,18,14,10,17,1,16,2,17,2,16,8,17,2,14,4,17,1,16,7,3,8,14,1,3,1,14,6,17,1,16,6,14,13,17,1,16,8,14,9,16,2,3,1,14,8,16,1,17,1,14,31,7,7,14,32,15,3,14,7,15,9,14,44,7,3,14,3,7,1,14,1,7,1,14,8,7,24,14,1,7,23,14,5,7,14,15,1,14,2,15,4,8,4,10,2,8,75,10,1,8,39,10,12,8,5,10,30,8,38,10,2,8,25,10,1,8,21,10,1,8,8,18,2,8,4,10,3,8,12,10,13,8,1,10,10,8,2,10,23,8,10,10,16,8,19,18,1,8,4,10,24,8,7,10,12,8,2,10,69,8,4,10,17,8,3,10,4,8,1,10,26,8,7,10,24,8,6,10,12,8,9,10,7,8,8,10,17,8,4,10,11,8,4,10,3,4,844,},
{4,776,19,4,4,1,18,1,3,5,14,10,3,1,14,5,15,1,8,5,14,2,17,1,16,25,14,7,7,3,16,9,17,2,16,16,17,4,16,15,17,1,14,11,17,2,16,71,14,10,15,2,8,1,15,1,14,1,16,2,14,3,15,1,8,2,10,6,9,1,8,5,18,3,8,5,15,1,14,1,15,1,18,1,8,1,18,1,15,2,14,1,15,1,18,2,8,1,10,16,8,6,10,1,8,3,15,1,14,23,3,1,16,2,3,1,14,2,15,3,14,1,15,1,14,2,3,2,14,12,15,1,9,1,10,1,9,2,8,1,15,1,8,1,15,1,14,3,15,2,14,2,16,5,17,2,14,1,16,5,17,1,14,1,15,2,14,1,16,6,17,1,16,12,17,1,14,9,17,5,16,8,17,4,16,9,3,10,14,7,16,7,17,1,14,5,16,1,17,1,14,5,16,7,17,1,14,9,16,1,17,1,14,8,3,1,16,2,14,28,7,8,14,43,15,12,14,50,7,3,14,5,7,3,8,4,7,17,14,3,7,10,14,4,7,10,14,3,7,14,15,4,14,1,7,2,15,1,8,66,10,2,8,9,10,4,8,9,10,2,8,9,10,3,8,14,10,15,8,1,10,29,8,9,10,2,8,7,10,2,8,22,10,1,8,10,10,1,8,51,10,6,8,11,10,1,8,1,10,9,8,3,10,34,8,10,10,16,8,18,18,3,8,2,10,23,8,10,10,11,8,1,10,10,8,3,10,57,8,11,10,10,8,3,10,32,8,7,10,21,8,8,10,6,8,1,10,4,8,9,10,9,8,8,10,15,8,5,10,4,8,1,10,6,8,4,10,3,4,844,},
{4,776,19,4,4,1,18,2,3,4,14,5,15,3,14,1,3,2,14,4,15,1,18,1,8,6,15,1,14,1,17,1,16,24,14,5,17,1,14,2,7,1,14,1,16,28,17,1,16,18,14,3,17,2,14,8,17,1,16,10,17,1,16,26,17,1,14,1,6,1,16,26,17,2,16,2,17,1,14,1,17,1,14,7,15,1,8,2,15,1,14,1,3,2,14,2,15,2,8,2,10,6,9,1,8,5,18,1,15,2,8,5,15,1,14,1,15,1,8,2,15,2,14,3,15,2,8,3,10,14,8,6,10,2,8,3,15,4,14,20,3,2,14,2,15,7,14,2,3,1,14,7,3,3,14,2,15,1,8,1,9,3,8,1,18,1,15,1,14,5,15,2,14,3,16,2,14,4,17,1,16,4,17,1,14,4,16,20,3,1,14,12,17,1,16,11,17,1,16,8,3,12,14,6,16,8,17,1,14,3,16,3,14,4,17,1,16,5,17,1,14,11,17,1,3,1,14,8,3,1,16,1,14,28,7,9,14,42,15,12,14,52,7,4,14,3,7,2,8,6,7,16,14,3,7,10,14,4,7,19,8,3,7,5,15,1,8,2,15,1,14,3,15,1,8,61,10,18,8,11,10,1,8,9,10,5,8,7,10,1,8,2,10,46,8,6,10,10,8,4,10,1,8,34,10,1,8,44,10,3,8,4,10,7,8,10,10,1,8,1,10,9,8,3,10,34,8,4,10,1,8,6,10,16,8,17,18,2,8,3,10,23,8,10,10,22,8,6,10,55,8,12,10,7,8,4,10,34,8,4,10,22,8,4,10,3,8,1,10,5,8,3,10,2,8,5,10,1,8,4,10,4,8,1,10,4,8,8,10,15,8,5,10,4,8,1,10,6,8,3,10,3,8,1,4,844,},
{4,776,19,4,4,3,18,1,3,3,14,4,15,4,14,2,3,1,14,3,15,1,8,7,9,1,8,1,15,1,14,1,16,24,14,1,7,1,14,8,16,24,17,1,16,3,17,1,16,18,17,1,14,3,17,1,16,1,14,7,17,3,16,8,17,1,16,26,17,1,14,2,17,1,16,24,14,3,17,1,16,1,17,3,14,7,15,1,8,1,15,2,14,6,15,2,8,3,10,5,18,1,15,3,18,1,15,4,8,4,15,3,8,1,9,1,8,1,15,1,14,5,15,1,18,1,8,2,10,3,8,2,10,10,8,5,10,1,8,6,15,2,14,22,15,3,8,4,15,1,14,2,3,1,14,2,15,3,14,1,3,4,14,2,15,1,18,1,8,3,18,1,15,2,14,6,15,2,14,2,17,2,14,5,16,5,17,1,14,2,17,1,16,16,14,2,17,1,16,2,17,1,14,12,17,1,16,2,17,2,16,15,3,14,14,3,17,1,16,10,17,1,16,3,17,1,14,4,17,1,16,3,17,1,14,6,17,1,3,2,14,4,16,1,3,1,14,37,7,3,8,1,7,6,14,41,15,13,14,59,7,2,8,6,7,6,14,4,7,7,14,1,7,13,14,2,7,18,8,4,7,5,8,4,15,1,14,2,15,2,8,41,10,1,8,18,10,16,8,23,10,62,8,6,10,9,8,39,10,1,8,43,10,5,8,3,10,7,8,10,10,1,8,1,10,9,8,3,10,31,8,6,10,3,8,3,18,1,8,8,10,12,8,19,10,13,8,1,10,8,8,11,10,22,8,7,10,30,8,3,10,22,8,12,10,7,8,3,10,60,8,4,10,9,8,3,10,1,8,5,10,2,8,4,10,3,8,3,10,3,8,8,10,16,8,4,10,3,8,3,10,10,9,1,18,1,4,844,},
{4,783,18,1,3,2,14,3,15,1,14,3,15,1,8,1,15,1,14,4,15,1,8,1,10,2,8,2,15,2,9,1,10,1,9,1,15,1,14,1,16,24,14,10,16,23,17,2,16,2,17,2,16,19,14,4,16,7,17,1,14,3,17,1,16,34,17,1,7,2,17,1,16,24,14,4,16,1,17,4,14,2,3,2,14,2,15,1,8,1,15,1,14,10,15,1,8,2,10,4,15,1,14,2,15,7,8,3,15,3,9,2,8,1,15,1,14,2,3,2,14,2,18,2,8,1,10,3,8,2,10,11,8,12,15,2,14,18,15,5,8,3,9,2,18,1,14,1,3,3,14,1,8,2,18,1,14,3,3,1,14,3,15,6,14,4,16,2,17,1,14,1,15,1,8,1,15,1,14,1,16,2,14,2,15,2,14,2,16,22,14,5,16,5,14,10,17,3,14,2,16,16,3,1,14,3,3,4,16,2,3,3,14,2,3,1,16,14,17,1,14,5,17,1,16,2,17,1,14,7,17,1,16,2,3,1,14,1,3,1,16,3,3,1,14,36,7,3,8,1,7,2,14,1,7,3,14,2,17,2,14,21,15,2,14,14,15,12,14,35,15,1,14,24,7,2,8,6,7,5,14,9,7,1,14,1,7,16,14,1,7,19,8,3,7,5,15,1,8,3,15,1,14,1,15,3,8,41,10,1,8,10,10,1,8,8,10,14,8,19,18,1,8,4,10,54,8,3,10,9,8,4,10,5,8,16,10,2,8,17,10,2,8,22,10,2,8,25,10,3,8,2,10,2,8,7,10,3,8,1,10,3,8,2,10,12,8,3,10,31,8,3,10,6,8,2,18,8,8,4,10,14,8,15,10,12,8,2,10,8,8,12,10,8,8,1,10,12,8,7,10,31,8,2,10,23,8,10,10,8,8,2,10,17,8,2,10,33,8,3,10,5,8,6,10,8,8,2,10,2,8,4,10,3,8,4,10,2,8,5,10,2,8,9,10,15,8,4,10,4,8,2,10,5,4,851,},
{4,784,18,1,3,1,14,7,15,7,18,1,8,1,10,2,8,1,15,3,8,1,9,1,8,1,15,1,14,1,16,24,14,7,7,1,14,2,16,23,17,2,16,24,17,1,14,1,17,1,16,8,17,1,14,3,16,35,14,2,16,15,17,2,16,8,14,3,17,1,16,1,17,4,14,2,16,3,14,2,15,3,14,10,15,1,8,2,10,2,8,1,14,7,15,3,8,4,15,2,8,2,15,2,14,6,15,1,18,1,8,2,10,2,8,3,10,12,8,7,10,1,8,3,15,2,14,2,15,2,14,5,15,2,14,4,15,1,8,10,9,1,18,1,14,2,3,2,15,1,8,1,9,1,8,1,14,6,15,5,14,3,3,3,16,3,14,2,15,2,14,1,17,2,14,2,15,2,14,2,17,1,16,20,17,1,14,5,16,3,14,17,17,1,16,6,3,1,16,7,3,1,14,5,3,3,16,2,3,4,14,1,3,1,16,3,17,2,14,1,17,2,16,5,17,1,14,5,17,1,16,3,17,1,14,7,16,3,3,1,14,1,3,1,17,1,16,3,14,12,3,1,14,1,17,2,14,20,7,3,15,1,7,1,14,31,15,1,14,13,15,12,14,6,15,2,14,28,15,1,14,25,7,2,8,5,7,5,14,8,7,48,8,3,7,4,8,61,10,1,8,1,10,12,8,24,10,71,8,1,10,4,8,16,10,2,8,13,10,2,8,2,10,2,8,41,10,2,8,11,10,2,8,7,10,1,8,4,10,17,8,2,10,6,8,1,10,24,8,2,10,7,8,2,18,9,8,6,10,12,8,10,10,2,8,3,10,11,8,1,10,8,8,12,10,22,8,6,10,33,8,2,10,22,8,9,10,27,8,4,10,33,8,13,10,12,8,5,10,2,8,4,10,2,8,6,10,1,8,9,10,16,8,1,10,6,8,2,10,4,4,852,},
{4,784,3,2,14,5,15,7,8,7,15,3,8,2,15,1,14,2,16,25,17,1,14,1,17,3,14,1,7,2,14,1,16,24,17,1,16,36,17,2,16,47,17,1,16,5,17,3,16,7,17,1,14,2,16,4,17,2,14,2,16,4,14,2,15,8,14,5,15,2,8,3,14,7,15,4,8,4,15,4,14,6,15,3,8,7,10,13,8,1,18,3,8,1,10,4,8,1,18,1,14,2,15,1,8,2,18,1,15,1,18,1,8,1,18,7,8,1,10,5,9,2,8,2,18,1,8,1,18,1,15,1,14,1,3,1,14,1,15,1,8,2,18,1,14,4,15,2,8,2,15,2,14,3,3,2,16,5,3,1,14,9,15,1,14,3,16,5,14,1,16,14,14,5,16,3,14,3,15,1,14,5,3,4,14,6,16,5,3,3,16,6,3,1,14,2,3,1,16,1,3,2,16,3,14,3,17,1,16,2,14,3,17,2,14,6,16,3,17,1,14,5,16,5,17,1,14,5,17,1,16,3,17,1,14,3,17,5,14,10,17,2,14,23,15,2,14,47,7,1,15,2,7,1,14,2,15,6,14,7,15,8,14,7,15,2,14,29,7,4,14,3,7,15,14,4,7,6,14,5,7,21,14,3,7,16,8,4,7,2,8,61,10,3,8,11,10,1,8,22,10,13,8,5,10,56,8,1,10,7,8,5,10,2,8,18,10,3,8,4,10,3,8,2,18,2,8,3,18,1,8,15,18,1,8,13,10,4,8,11,10,1,8,7,10,2,8,5,10,15,8,3,10,9,8,4,10,28,8,16,10,1,8,1,10,1,8,6,10,4,8,6,10,5,8,2,10,5,8,4,10,11,8,12,10,24,8,4,10,35,8,3,10,25,8,3,10,29,8,3,10,27,18,4,10,4,8,12,10,10,8,11,10,3,8,18,10,4,8,5,10,4,8,1,10,9,8,1,18,3,4,852,},
{4,783,18,1,3,2,14,2,17,1,14,2,15,1,8,1,15,4,8,1,9,1,8,2,15,1,8,2,15,6,14,3,16,1,17,1,16,23,17,1,14,1,17,3,6,1,7,3,17,1,16,18,17,3,16,3,17,1,16,5,17,1,16,77,14,2,16,5,17,3,16,14,17,2,14,2,17,1,16,3,17,1,14,1,15,1,8,1,15,3,8,1,15,2,14,6,15,4,14,7,15,4,18,1,8,3,18,1,15,3,14,5,15,4,8,7,10,13,8,1,18,3,8,1,10,5,18,4,8,1,10,1,8,2,10,2,8,8,10,3,9,1,10,3,8,1,18,5,15,1,14,1,15,1,8,2,15,1,14,5,15,2,8,2,15,1,14,4,3,1,16,3,3,1,16,3,3,1,14,11,3,1,16,4,14,3,16,13,14,4,16,4,14,2,15,2,14,6,3,4,14,5,3,2,16,2,3,4,16,5,3,1,14,3,16,2,17,1,3,1,16,3,14,3,17,1,16,1,17,1,14,3,17,1,14,7,16,4,14,4,17,1,16,6,14,4,3,2,16,2,17,2,14,5,17,1,16,3,17,1,14,80,7,3,15,2,7,1,14,3,15,5,14,8,15,7,14,8,15,1,14,27,7,26,14,1,7,7,14,6,7,19,14,2,7,22,8,63,10,2,8,34,10,13,8,6,10,56,8,1,10,8,8,3,10,4,8,15,10,5,8,5,10,3,8,1,18,2,8,19,18,1,8,8,18,2,8,3,10,4,8,18,10,3,8,5,10,14,8,4,10,9,8,4,10,13,8,1,10,15,8,5,10,2,8,19,10,3,8,4,10,6,8,3,10,3,8,6,10,9,8,12,10,58,8,1,10,5,8,4,10,6,8,2,10,17,8,2,10,30,8,3,10,25,18,5,10,4,8,12,10,11,8,7,10,6,8,1,10,1,8,14,10,1,8,2,10,2,8,6,10,14,18,4,4,852,},
{4,783,18,1,3,1,16,1,14,2,17,1,14,2,15,1,8,2,15,4,8,2,15,2,8,2,15,2,14,7,17,1,14,1,16,21,17,1,14,3,17,3,6,1,7,3,6,1,16,20,17,6,16,82,17,2,16,4,17,4,16,15,17,1,14,4,17,1,14,2,15,2,8,1,15,4,14,9,15,2,14,8,15,5,8,3,18,1,15,4,14,5,15,6,8,5,10,13,8,1,18,2,8,2,10,4,8,8,10,2,8,1,18,4,15,2,18,1,8,5,9,2,8,9,9,1,8,1,14,2,3,3,14,2,15,3,14,3,3,3,16,2,3,3,16,1,3,1,14,7,3,1,14,3,3,1,16,5,14,5,17,1,16,10,17,1,14,2,17,1,16,3,17,1,14,11,3,4,14,5,3,6,16,7,3,1,14,2,16,2,17,1,16,4,14,4,16,1,14,3,17,3,14,5,17,1,16,4,14,4,16,6,3,2,14,3,3,3,17,3,14,6,17,3,14,79,7,5,15,3,7,1,15,1,14,1,15,6,14,8,15,5,14,39,7,33,14,6,7,3,8,3,7,36,8,63,10,2,8,27,10,3,8,5,10,12,8,6,10,65,8,3,10,4,8,16,10,4,8,5,10,2,8,3,18,1,8,7,18,3,8,18,18,2,8,3,10,3,8,19,10,4,8,4,10,13,8,4,10,10,8,4,10,29,8,4,10,3,8,16,18,2,8,2,10,12,8,3,10,4,8,5,10,9,8,11,10,27,8,2,10,29,8,2,10,5,8,4,10,6,8,3,10,16,8,6,10,62,8,14,10,10,8,7,10,7,8,6,10,14,8,6,10,14,8,1,18,3,4,852,},
{4,782,18,1,3,2,16,1,3,1,17,2,14,2,15,1,8,2,15,8,8,1,15,2,14,10,16,18,14,7,17,3,14,1,7,3,6,1,16,25,17,3,16,66,17,2,16,18,17,3,16,16,17,1,14,7,15,2,8,1,15,2,14,21,15,4,18,1,8,3,18,1,15,5,14,5,15,6,8,4,10,13,8,6,10,7,8,4,10,1,8,1,18,2,15,3,14,2,15,1,18,1,8,1,18,3,8,6,9,1,10,4,9,1,15,1,14,1,3,1,14,1,3,2,14,6,3,5,16,2,3,6,14,6,3,4,16,6,14,6,16,17,17,1,14,12,3,1,16,1,3,2,14,5,3,3,16,2,3,1,16,6,14,3,16,3,3,1,16,3,14,8,17,4,14,3,17,1,16,5,14,3,17,1,16,7,14,4,3,1,14,1,16,1,14,2,17,1,14,5,17,2,14,81,7,1,15,1,7,2,15,7,14,3,15,5,14,50,7,16,14,2,7,14,8,2,14,5,7,3,8,3,7,25,14,4,7,7,8,80,10,1,8,11,10,3,8,6,10,12,8,5,10,64,8,26,10,2,8,18,18,4,8,11,10,2,8,4,18,2,8,10,10,1,8,9,10,2,8,3,10,5,8,1,10,14,8,5,10,9,8,5,10,36,8,16,18,2,8,2,10,11,8,3,10,5,8,4,10,10,8,10,10,59,8,2,10,5,8,4,10,6,8,3,10,17,8,4,10,43,8,2,10,15,8,17,10,11,8,8,10,26,8,4,10,14,8,2,18,1,10,1,4,853,},
{4,782,18,1,3,2,16,1,3,1,17,1,16,1,14,2,15,1,8,2,15,6,14,1,15,4,14,10,16,17,17,1,14,5,17,4,6,1,7,4,17,1,16,25,17,1,14,2,16,65,14,3,17,1,16,2,17,2,16,6,17,2,16,24,17,1,14,7,15,4,14,22,15,2,8,1,18,4,8,2,15,6,14,4,15,5,18,1,8,4,10,14,8,6,10,6,8,3,10,2,8,1,18,1,15,3,14,4,15,1,18,4,15,3,18,1,8,1,10,5,9,1,8,1,15,1,14,4,3,4,14,5,3,2,16,4,3,6,14,5,3,4,16,6,14,6,16,18,14,12,3,5,14,5,3,1,16,3,3,3,16,3,3,1,14,2,3,1,16,3,3,1,16,3,14,8,17,3,14,1,17,3,16,5,14,4,16,7,17,1,14,5,3,1,16,1,14,2,17,1,14,2,17,1,14,1,17,1,14,1,17,1,14,81,7,2,15,5,8,2,15,2,14,4,15,4,14,69,7,6,14,1,7,6,8,2,7,10,8,1,7,25,14,5,7,8,8,78,10,1,8,5,10,9,8,5,10,14,8,4,10,62,8,31,10,2,8,15,18,5,8,9,10,3,8,4,18,1,8,10,10,3,8,8,10,3,8,3,10,19,8,4,10,10,8,4,10,37,8,17,18,1,8,2,10,12,8,1,10,7,8,2,10,11,8,8,10,68,8,4,10,6,8,4,10,17,8,2,10,43,8,4,10,10,8,22,10,10,8,7,10,27,8,4,10,14,8,1,18,2,10,1,4,853,},
{4,782,3,5,16,3,14,2,15,5,14,6,15,1,14,11,17,1,16,16,14,1,15,2,14,2,16,3,17,1,14,2,7,4,17,1,16,26,14,2,16,64,17,1,14,3,17,1,16,1,17,2,14,1,17,1,16,4,17,1,14,1,17,1,16,24,17,1,14,8,15,2,14,10,3,1,16,2,14,10,15,1,8,3,15,1,18,1,8,3,15,7,14,3,15,5,18,1,8,3,10,17,8,4,10,7,8,1,10,2,8,2,18,1,15,4,14,2,15,1,18,1,8,3,18,1,14,3,15,1,8,1,9,1,10,3,9,1,8,1,15,5,14,1,3,2,16,3,3,2,14,3,3,1,16,5,3,2,16,1,3,2,14,4,3,4,14,2,3,2,16,3,14,6,16,20,14,11,16,2,3,2,14,6,3,4,14,2,3,3,14,3,16,8,17,1,14,10,17,1,16,6,17,1,14,5,16,7,14,7,16,1,14,1,17,4,16,1,17,6,14,3,17,3,14,73,7,2,15,5,8,3,15,1,14,4,15,3,14,24,15,3,14,43,7,6,14,2,7,5,8,8,7,21,8,5,7,12,8,1,7,4,8,20,7,1,18,1,8,54,10,3,8,1,10,97,8,32,10,4,8,13,18,6,8,8,10,3,8,3,18,2,8,10,10,3,8,8,10,3,8,3,10,20,8,3,10,10,8,2,10,36,8,1,10,2,8,4,10,4,8,5,10,2,8,10,10,27,8,7,10,70,8,4,10,7,8,4,10,61,8,4,10,8,8,15,10,7,8,1,10,2,8,2,10,7,8,4,10,1,8,3,10,1,8,1,10,25,8,2,10,2,8,1,10,11,8,1,18,2,4,1,10,1,4,853,},
{4,782,18,1,3,4,16,4,14,2,15,1,14,21,16,17,14,2,15,1,14,2,16,3,17,1,14,2,7,3,6,1,16,27,17,2,16,48,17,1,14,2,17,1,16,11,17,1,14,2,17,3,16,3,17,2,16,3,17,1,14,2,17,1,16,23,17,1,14,21,16,3,14,10,15,1,8,4,15,1,8,4,15,8,14,1,15,5,18,1,8,1,10,20,8,4,10,6,8,1,10,1,8,3,18,1,15,2,18,1,15,3,18,2,8,3,18,1,14,1,3,2,14,1,18,1,8,5,15,1,14,1,15,1,8,2,15,1,14,2,16,5,3,1,14,3,3,1,16,6,3,1,16,2,3,2,14,3,3,3,14,6,16,2,14,6,16,9,17,1,14,3,17,1,16,6,14,10,16,3,3,1,14,8,3,2,14,5,3,1,14,3,16,9,14,10,17,1,16,6,14,6,17,1,16,6,14,7,16,1,17,3,16,5,17,8,16,2,17,1,14,73,7,3,15,3,8,2,15,2,14,4,15,3,14,24,15,3,14,43,7,6,14,3,7,4,8,8,7,22,8,5,7,10,8,3,7,3,8,20,7,1,15,1,8,24,10,1,8,18,10,4,8,5,10,4,8,1,10,95,8,1,10,1,8,3,18,2,8,4,18,3,8,21,10,4,8,15,18,5,8,2,10,2,8,2,10,4,8,3,18,1,8,12,10,2,8,9,10,1,8,4,10,33,8,2,10,5,8,1,10,9,8,2,10,18,8,8,10,1,8,8,10,7,8,6,10,26,8,6,10,71,8,4,10,7,8,4,10,61,8,3,10,8,8,15,10,20,8,3,10,3,8,2,10,14,8,2,10,15,8,2,10,10,8,1,18,1,4,856,},
{4,782,18,1,3,4,16,4,17,1,14,8,3,2,14,5,3,2,14,5,16,19,14,4,17,1,16,1,17,1,14,5,6,2,16,74,17,4,14,3,17,1,16,10,17,2,16,12,14,3,17,1,16,1,17,1,16,22,17,1,14,5,17,1,14,13,3,1,16,3,14,5,15,2,14,3,15,1,8,3,18,2,8,4,15,14,18,1,8,1,10,21,8,2,10,7,8,4,18,4,8,3,18,2,8,5,15,1,14,3,18,3,15,4,14,2,15,1,8,1,15,1,14,2,16,6,3,3,16,6,3,3,16,1,3,2,14,3,3,3,14,2,15,2,14,2,16,2,14,2,17,1,14,3,16,9,14,5,16,6,14,9,16,5,14,4,15,3,14,15,3,2,16,7,17,1,14,2,17,2,14,1,17,2,16,6,14,7,16,5,14,8,16,2,17,2,16,15,17,1,14,75,7,2,15,7,14,1,15,5,14,24,15,3,14,29,7,2,14,13,7,4,14,5,7,5,8,6,7,24,8,4,7,7,8,5,7,3,8,20,7,1,15,1,8,42,10,5,8,5,10,4,8,2,10,93,8,2,10,1,8,2,18,3,8,4,18,3,8,21,10,4,8,16,18,4,8,1,10,3,8,2,10,4,8,27,10,1,8,3,10,9,8,1,10,23,8,3,10,5,8,1,10,9,8,2,10,17,8,20,10,5,8,7,10,24,8,7,10,71,8,4,10,8,8,3,10,62,8,1,10,8,8,16,10,21,8,2,10,3,8,4,10,12,8,2,10,1,8,1,10,13,8,2,10,10,8,1,18,1,4,856,},
{4,782,18,1,3,4,16,5,14,7,3,3,14,5,3,1,16,1,3,1,14,3,16,20,14,2,15,1,14,7,6,2,14,2,16,44,17,3,16,31,17,4,16,24,14,3,16,25,17,1,14,5,17,1,14,6,15,5,14,3,3,1,16,1,14,6,15,3,14,2,15,1,8,3,15,2,8,9,15,10,8,2,10,9,8,1,10,19,8,3,18,3,8,12,18,1,14,2,15,2,14,4,15,2,14,7,16,14,3,7,14,2,3,4,14,1,15,1,8,2,15,1,14,1,3,1,16,1,14,6,16,9,17,1,14,4,16,6,14,8,16,7,14,2,15,1,8,1,9,1,8,1,15,1,14,15,3,1,17,2,16,5,17,2,16,3,17,2,16,7,14,8,16,4,14,8,16,1,17,2,16,14,17,3,14,11,16,1,14,65,15,2,14,3,15,7,14,25,15,3,14,28,7,4,14,12,7,4,14,5,7,8,8,3,7,3,8,2,7,31,8,3,7,4,8,20,7,2,8,42,10,5,8,5,10,4,8,2,10,94,8,1,10,1,8,2,18,3,8,4,18,2,8,23,10,3,8,16,18,3,8,2,10,10,8,9,10,2,8,15,10,3,8,1,10,9,8,1,10,23,8,3,10,5,8,1,10,9,8,3,10,16,8,21,10,5,8,5,10,4,8,1,10,5,8,2,10,11,8,9,10,27,8,1,10,11,8,1,10,31,8,2,10,11,8,1,10,25,8,1,10,46,8,7,10,2,8,7,10,26,8,4,10,12,8,2,10,15,8,2,10,10,8,1,18,1,4,856,},
{4,782,18,1,3,5,16,4,14,4,3,6,14,5,3,1,16,3,14,1,17,1,16,7,17,1,16,12,17,1,14,1,15,1,7,1,14,5,6,1,14,4,16,29,17,1,16,14,17,1,6,1,17,2,16,58,14,3,17,1,16,5,17,1,16,20,14,10,15,1,8,4,15,1,14,11,15,3,14,1,15,2,8,2,15,4,8,9,15,6,14,2,15,1,8,3,10,6,8,6,10,4,8,4,10,8,8,2,18,3,8,2,10,3,8,3,18,1,15,1,18,1,8,4,18,1,8,1,18,1,14,2,3,2,14,7,3,2,16,11,3,4,14,3,3,8,14,2,8,1,10,2,8,1,14,2,16,1,14,6,16,9,17,1,14,4,16,6,14,7,3,1,16,7,14,2,15,1,9,2,8,1,15,1,14,18,17,1,16,4,17,1,16,13,14,8,16,3,17,1,14,7,17,1,16,1,17,3,16,13,14,3,17,2,14,9,16,1,14,71,15,5,14,4,15,4,14,25,7,2,14,22,7,4,14,12,7,4,14,5,7,5,14,3,7,6,8,3,7,9,14,1,7,14,8,7,7,7,8,58,10,1,8,6,10,1,8,7,10,3,8,5,10,92,8,1,10,2,8,33,10,4,8,2,18,1,8,14,18,1,8,3,10,9,8,8,10,3,8,15,10,13,8,2,10,9,8,3,10,9,8,4,10,5,8,1,10,8,8,4,10,17,8,27,10,7,8,1,10,4,8,4,10,10,8,9,10,27,8,1,10,10,8,2,10,31,8,1,10,12,8,1,10,72,8,7,10,1,8,8,10,26,8,5,10,41,4,857,},
{4,779,19,2,4,1,18,1,3,3,14,2,16,2,14,17,3,1,16,3,17,2,16,6,17,1,14,1,16,12,17,1,14,12,7,1,16,29,14,1,16,14,17,4,16,58,14,3,17,1,16,5,17,1,16,20,17,1,14,8,15,1,8,2,9,2,8,1,15,1,14,11,15,3,14,2,15,4,14,1,15,2,8,2,9,3,8,5,15,5,14,2,15,1,18,1,8,3,10,5,8,5,10,4,8,2,18,1,8,2,10,6,8,4,18,2,8,2,10,4,8,2,18,1,15,1,14,2,15,1,8,6,15,1,14,1,3,10,16,13,14,1,3,1,14,5,3,7,14,2,8,1,10,2,9,1,15,1,14,8,16,10,17,1,14,2,16,7,14,8,16,7,14,2,15,1,8,3,15,1,14,18,17,1,16,18,14,8,16,3,14,8,16,2,17,6,16,6,17,2,16,1,17,1,14,4,17,1,14,82,15,5,14,2,15,6,14,25,7,1,14,21,7,7,14,10,7,4,14,4,7,6,14,4,7,6,8,3,7,8,14,1,7,13,8,8,7,7,8,59,10,3,8,8,10,3,8,12,10,91,8,33,10,4,8,2,18,1,8,19,10,8,8,9,10,2,8,14,10,15,8,1,10,8,8,5,10,8,8,4,10,5,8,2,10,7,8,4,10,21,8,23,10,12,8,4,10,9,8,10,10,38,8,2,10,110,8,3,10,4,8,17,10,21,8,1,10,2,8,6,10,41,4,857,},
{4,778,19,4,4,1,3,3,14,22,16,3,14,3,16,5,17,1,14,1,16,13,17,1,14,5,17,1,6,1,14,5,16,28,17,1,14,1,16,15,17,3,16,34,17,7,16,17,17,1,14,3,17,1,16,26,17,1,14,7,15,1,8,1,9,1,10,2,8,2,15,1,14,2,15,3,14,5,15,2,14,4,15,1,14,4,15,2,8,10,15,4,14,2,15,1,18,1,8,4,10,5,8,3,10,4,8,2,18,2,8,2,10,5,8,8,10,3,8,4,18,1,14,4,8,4,10,1,8,2,14,1,3,1,16,6,3,2,16,7,3,1,16,6,14,4,15,1,14,4,3,4,14,2,15,1,8,1,10,3,15,1,14,8,16,11,17,1,16,8,3,1,14,7,16,7,14,2,15,4,14,16,16,1,3,1,14,1,17,1,16,11,17,1,16,5,17,2,14,3,17,1,16,6,17,1,14,7,16,2,17,2,14,2,17,4,16,4,17,3,14,5,17,2,14,36,15,2,14,43,15,5,14,2,15,7,14,25,7,1,14,20,7,8,14,3,7,1,14,6,7,4,14,4,7,4,14,10,7,3,8,1,7,8,14,2,7,11,8,9,7,7,8,56,10,7,8,6,10,4,8,15,10,88,8,34,10,3,8,7,10,1,8,15,10,7,8,9,10,2,8,14,10,24,8,5,10,6,8,6,10,5,8,2,10,7,8,4,10,29,8,1,10,6,8,8,10,11,8,5,10,8,8,11,10,4,8,1,10,33,8,2,10,27,8,3,10,7,8,1,10,72,8,6,10,1,8,18,10,20,8,10,10,39,4,858,},
{4,778,19,4,4,1,3,3,14,5,15,2,14,15,3,1,16,1,3,1,14,4,17,6,16,14,17,1,16,5,17,2,14,2,6,1,17,1,16,26,14,4,16,16,17,1,16,35,14,1,17,6,16,17,17,1,14,4,16,26,17,1,14,7,15,1,8,2,10,2,8,2,15,1,14,2,15,2,14,6,15,2,14,9,15,3,8,7,15,9,18,2,8,3,10,12,8,6,10,5,8,8,10,2,8,3,18,2,15,1,14,3,15,1,8,4,10,1,8,2,14,1,3,1,16,6,3,2,16,6,14,3,3,1,16,4,14,2,15,5,14,3,3,3,14,2,15,1,8,1,10,3,8,1,14,7,17,1,16,21,14,7,16,7,3,1,14,20,16,3,17,2,16,10,17,5,16,4,17,3,16,8,17,1,14,4,17,1,16,3,17,2,14,4,17,2,16,4,17,3,14,5,17,3,14,35,15,3,14,43,15,5,14,2,15,6,14,25,7,2,14,20,7,11,14,7,7,2,14,5,7,4,14,2,7,4,14,5,7,10,14,3,7,10,8,10,7,6,8,6,18,1,8,50,10,6,8,7,10,4,8,15,10,86,8,2,10,3,8,18,10,1,8,13,10,3,8,10,18,3,8,6,18,2,8,1,10,6,8,11,10,1,8,13,10,25,8,4,10,7,8,5,10,15,8,3,10,38,8,11,10,6,8,6,10,6,8,12,10,4,8,2,10,32,8,3,10,18,8,3,10,5,8,4,10,6,8,4,10,66,8,2,10,1,8,7,10,4,8,16,10,4,8,1,10,5,8,2,10,7,8,10,10,7,8,1,10,31,4,858,},
{4,778,19,4,4,1,18,1,3,2,14,1,15,6,14,2,3,4,14,19,16,2,17,1,16,23,17,1,16,28,14,3,16,17,17,1,16,34,17,1,14,1,17,5,16,19,17,1,14,1,7,1,14,1,16,27,17,1,14,7,15,1,8,1,9,1,10,1,9,1,8,1,15,1,14,21,15,15,18,2,15,2,18,2,8,4,10,10,8,5,10,5,8,7,10,1,8,2,10,1,8,1,18,1,15,1,14,1,15,3,14,2,15,1,18,1,8,2,10,3,8,2,14,1,3,1,16,6,3,1,16,5,3,1,14,5,3,1,16,2,14,2,15,1,8,5,15,1,14,3,3,1,14,3,15,1,8,1,10,3,8,1,15,1,14,6,17,1,16,21,14,6,17,1,16,8,3,1,14,19,16,15,17,2,14,2,17,2,16,24,17,1,14,5,17,1,16,5,17,2,14,4,17,2,16,2,17,2,14,33,15,3,14,45,15,3,14,3,15,4,14,27,7,1,14,8,7,1,14,13,7,9,14,8,7,1,14,7,7,1,14,5,7,1,14,6,7,10,14,2,7,3,8,5,7,3,8,10,7,4,8,59,10,6,8,21,10,42,8,1,10,41,8,3,10,4,8,1,10,5,8,2,18,2,8,27,10,4,8,5,10,1,8,4,18,1,8,8,18,1,8,1,10,3,8,28,10,24,8,5,10,6,8,5,10,16,8,3,10,38,8,5,10,3,8,5,10,3,8,6,10,5,8,14,10,4,8,3,10,28,8,6,10,17,8,5,10,5,8,3,10,5,8,6,10,64,8,12,10,4,8,15,10,3,8,3,10,3,8,5,10,5,8,10,10,7,8,2,10,14,8,1,10,15,4,858,},
{4,778,19,4,4,2,3,2,14,1,15,5,14,2,3,1,16,4,3,1,14,18,16,54,17,1,14,1,17,1,16,18,17,2,16,27,17,2,16,4,17,1,14,1,17,1,16,24,14,1,7,1,14,1,16,12,17,2,16,14,17,1,14,7,8,1,9,1,10,1,9,1,8,1,15,1,14,21,15,3,14,7,15,3,8,5,18,3,8,4,10,9,8,3,10,7,9,1,8,6,10,2,8,2,10,1,8,1,15,1,14,3,15,1,18,1,15,1,18,1,8,4,10,3,8,1,15,1,3,1,16,5,3,1,16,4,3,1,14,4,15,2,14,2,3,1,16,1,14,2,15,1,8,1,9,5,8,1,15,1,14,2,3,1,14,4,15,1,8,1,10,2,9,1,15,1,14,2,17,3,14,1,17,1,16,21,17,1,14,5,16,9,3,1,14,18,16,17,17,2,14,1,17,2,16,25,17,1,14,3,17,2,16,6,17,3,16,1,17,4,16,3,14,34,15,2,14,11,15,4,14,30,15,3,14,4,15,2,14,28,7,1,14,7,7,2,14,5,7,2,14,6,7,8,14,9,7,2,14,18,7,11,14,2,7,3,8,6,7,2,8,8,7,6,8,60,10,3,8,13,10,4,8,1,10,30,8,3,10,13,8,3,10,39,8,4,10,10,8,2,18,2,8,27,10,5,8,20,10,2,8,13,10,1,8,3,10,4,8,7,10,24,8,6,10,5,8,6,10,17,8,2,10,16,8,2,10,20,8,3,10,6,8,12,10,5,8,7,10,1,8,7,10,4,8,3,10,27,8,8,10,14,8,8,10,4,8,3,10,5,8,6,10,64,8,5,10,3,8,4,10,5,8,13,10,3,8,4,10,2,8,6,10,6,8,10,10,5,8,4,10,3,8,1,10,8,8,3,10,14,4,858,},
{4,779,19,3,4,2,18,1,3,1,18,2,15,4,14,4,3,2,16,2,3,1,14,17,16,53,17,1,14,2,17,1,16,47,17,2,16,4,17,2,16,25,17,1,7,1,14,1,16,13,17,1,16,16,14,6,15,1,8,3,15,1,14,32,15,2,8,7,18,2,8,6,10,17,8,5,10,4,8,4,15,1,14,3,15,1,18,2,8,2,10,1,8,2,10,3,8,1,14,1,3,1,16,4,14,2,3,1,16,1,3,2,14,4,15,1,8,1,15,2,14,5,15,1,8,1,9,3,10,2,9,1,8,1,15,1,14,1,3,2,14,3,15,1,8,1,9,1,8,2,15,1,14,2,16,3,14,2,16,22,14,4,3,1,16,9,3,3,14,13,3,1,16,1,14,1,16,18,17,1,14,1,17,2,16,27,17,4,16,6,17,1,14,1,17,1,16,6,17,1,16,1,3,1,14,46,15,5,14,66,7,2,14,22,7,7,14,28,7,12,14,2,7,3,8,5,7,3,8,8,7,3,14,1,7,2,8,7,18,3,8,50,10,3,8,2,10,5,8,6,10,30,8,2,10,2,8,11,10,49,8,4,10,9,8,18,10,2,8,12,10,5,8,38,10,5,8,6,10,10,8,2,10,11,8,7,10,5,8,5,10,36,8,3,10,19,8,2,10,7,8,11,10,5,8,14,10,6,8,3,10,6,8,2,10,19,8,7,10,7,8,3,10,5,8,9,10,2,8,4,10,5,8,6,10,3,8,1,10,59,8,6,10,3,8,5,10,5,8,11,10,4,8,5,10,3,8,5,10,6,8,8,10,7,8,3,10,2,8,3,10,8,8,2,10,14,4,858,},
{4,785,18,4,15,1,8,1,15,2,14,5,3,1,16,2,3,1,14,16,16,5,14,2,16,46,17,1,14,2,17,1,16,81,14,2,16,13,17,2,16,15,6,1,14,6,15,1,14,26,15,1,14,7,15,2,8,15,18,1,8,2,10,14,8,6,10,3,8,5,18,1,15,3,18,2,8,2,10,2,8,1,10,3,8,2,14,2,3,3,14,11,15,1,8,1,15,1,14,7,15,1,8,2,9,1,10,3,8,1,15,1,14,2,3,1,16,1,3,1,14,2,8,2,15,1,14,4,17,1,16,2,14,2,16,23,14,3,16,10,3,1,16,2,3,1,14,13,3,1,17,1,16,14,17,1,16,3,17,4,16,17,14,2,16,3,17,3,16,4,14,3,17,1,16,3,17,1,14,3,17,1,16,4,17,1,14,3,17,1,14,47,15,3,14,49,15,2,14,16,7,3,14,18,7,1,14,7,7,2,14,29,7,10,14,3,7,2,15,2,8,3,7,3,8,8,7,6,8,6,15,1,7,1,14,1,7,1,18,1,8,2,18,1,8,4,18,2,8,28,10,1,8,11,10,46,8,17,10,50,8,2,10,9,8,16,10,4,8,3,18,2,8,6,10,7,8,29,10,1,8,6,10,5,8,5,10,11,8,3,10,11,8,7,10,4,8,5,10,40,8,1,10,18,8,1,10,6,8,12,10,6,8,11,10,10,8,4,10,19,8,1,10,5,8,2,10,8,8,6,10,4,8,18,10,2,8,7,10,3,8,2,10,58,8,7,10,1,8,22,10,7,8,3,10,3,8,5,10,5,8,6,10,18,8,2,10,5,8,1,10,14,8,1,4,858,},
{4,786,18,3,15,1,8,2,15,5,14,2,16,1,3,2,14,17,16,4,14,1,15,1,14,1,16,40,17,1,14,1,16,4,17,3,16,8,17,2,16,71,6,1,17,1,16,19,17,1,16,10,17,1,14,12,15,3,14,26,15,2,8,2,9,1,10,2,8,9,15,1,18,2,8,1,10,14,8,4,18,1,8,2,10,1,8,7,18,4,8,2,10,3,8,5,15,1,14,5,15,3,14,8,15,1,8,1,15,1,14,8,15,1,18,1,8,1,10,3,8,1,15,1,14,2,16,4,14,1,15,2,14,1,16,1,17,1,14,2,17,1,16,1,17,1,14,2,16,23,14,2,17,1,16,9,14,1,3,1,16,3,14,13,16,16,17,1,16,4,17,2,16,17,14,3,16,2,17,1,14,2,17,1,16,4,17,1,14,3,16,3,17,1,14,4,16,4,17,1,14,3,16,4,17,1,14,45,15,1,14,49,15,2,14,5,17,2,14,38,7,2,14,29,7,2,14,2,7,7,14,5,15,2,8,1,15,1,7,4,8,7,7,6,8,6,7,1,14,2,7,1,8,3,18,1,8,3,15,1,7,2,18,1,8,26,10,2,8,11,10,46,8,17,10,42,8,2,10,19,8,15,10,3,8,3,18,2,8,7,10,7,8,5,18,2,8,20,10,3,8,6,10,4,8,4,10,12,8,4,10,10,8,7,10,4,8,5,10,29,8,4,10,6,8,3,10,19,8,17,10,5,8,12,10,10,8,5,10,18,8,2,10,4,8,2,10,7,8,8,10,4,8,1,10,3,8,21,10,4,8,2,10,59,8,19,10,2,8,5,10,11,8,1,10,4,8,5,10,8,8,1,10,41,8,1,10,1,4,858,},
{4,786,18,2,14,2,15,1,8,1,15,2,8,1,15,2,14,2,3,2,14,8,3,1,16,1,3,1,14,7,16,4,14,1,15,1,14,1,16,30,17,3,16,7,17,1,14,1,16,14,14,1,17,1,16,61,17,1,16,43,6,2,17,3,14,6,15,2,8,5,15,1,14,5,17,4,14,14,15,1,8,2,10,3,9,1,8,3,18,7,8,2,10,2,8,1,10,11,8,4,18,1,8,16,10,3,8,5,15,1,14,5,15,4,14,4,3,1,14,2,15,2,14,9,15,1,18,1,9,1,10,3,8,1,15,1,14,1,3,1,16,3,3,1,14,1,15,1,14,2,16,5,17,1,14,3,16,22,14,4,16,10,3,2,16,2,3,1,14,10,16,41,17,1,14,4,16,1,14,3,17,1,16,4,17,1,14,3,16,3,17,1,14,4,17,1,16,3,17,1,14,2,3,1,16,2,17,1,14,18,17,3,14,76,15,1,14,5,17,3,14,39,7,1,14,33,7,9,14,5,7,1,14,1,7,4,8,3,7,5,8,1,7,5,8,5,18,1,7,2,18,1,8,7,18,1,7,1,15,1,18,1,8,27,10,1,8,10,10,47,8,3,10,2,8,9,10,32,8,3,10,32,8,14,10,3,8,11,10,8,8,5,18,2,8,20,10,2,8,7,10,4,8,4,10,12,8,1,10,13,8,6,10,5,8,5,10,29,8,4,10,7,8,2,10,19,8,32,10,13,8,4,10,18,8,2,10,13,8,8,10,10,8,19,10,5,8,1,10,60,8,24,10,17,8,5,10,11,8,2,10,36,8,1,18,1,4,859,},
{4,787,18,1,3,1,14,1,15,2,8,3,15,3,14,11,3,1,16,2,14,2,15,2,14,3,17,1,16,3,14,1,8,1,15,1,16,23,17,7,14,4,17,5,6,1,14,1,17,1,16,12,17,1,14,2,17,2,16,59,17,1,6,1,16,43,17,4,16,2,17,1,14,2,15,4,8,2,10,3,8,1,14,4,17,1,16,3,17,1,14,14,15,2,8,2,9,1,10,1,9,1,8,3,18,1,15,1,14,2,15,2,18,1,8,1,10,3,8,2,10,9,8,22,10,3,8,4,15,2,14,5,15,4,14,3,3,2,14,13,15,2,9,1,10,2,9,1,15,1,14,2,16,5,14,3,17,1,16,5,14,4,16,22,14,4,17,1,16,9,3,2,16,3,3,1,14,8,16,39,17,1,16,1,17,1,14,5,17,1,14,3,16,6,17,1,14,1,17,1,16,4,17,1,14,4,17,1,16,2,17,1,14,1,17,1,3,1,17,2,14,16,17,4,16,1,17,1,14,130,17,1,14,1,17,1,14,8,17,1,14,2,17,1,14,14,7,9,14,6,7,5,8,1,7,6,8,1,7,3,14,1,7,2,8,15,18,1,15,2,18,1,8,27,10,1,8,8,10,89,8,10,10,32,8,3,18,2,8,21,10,12,8,2,18,2,8,29,10,4,8,4,10,4,8,3,10,19,8,6,10,5,8,5,10,5,8,1,10,25,8,1,10,8,8,1,10,15,8,2,10,3,8,10,10,2,8,18,10,16,8,1,10,20,8,1,10,16,8,6,10,9,8,14,10,1,8,5,10,66,8,24,10,16,8,7,10,8,8,5,10,35,9,1,4,860,},
{4,787,18,1,3,2,14,1,15,2,8,1,15,4,14,3,3,2,14,7,3,2,14,2,15,2,14,4,16,3,14,1,15,2,16,23,17,3,16,4,17,8,7,2,6,1,17,1,16,13,14,1,17,4,16,4,17,1,14,5,17,1,16,48,6,1,16,27,17,1,14,2,16,4,17,1,16,10,17,3,16,1,17,1,14,2,15,2,14,1,15,1,8,1,9,1,10,3,8,1,14,5,17,3,14,16,15,2,8,4,9,2,8,2,15,1,14,4,18,1,8,1,10,2,8,4,10,7,9,1,8,4,10,4,8,2,18,1,8,16,18,1,15,3,14,5,15,4,14,2,3,4,14,13,15,1,8,1,10,1,9,1,8,1,15,1,14,2,16,5,14,2,17,1,16,6,14,1,15,1,14,2,16,22,14,5,16,6,17,1,16,2,3,1,16,4,3,1,14,7,17,1,16,15,17,2,16,25,17,1,14,4,17,1,14,2,17,1,16,7,17,2,16,5,17,1,14,3,17,1,16,2,17,3,3,1,17,1,14,18,17,4,14,7,17,2,14,59,15,1,14,59,17,5,14,9,17,1,14,18,7,10,15,16,8,3,15,1,14,2,15,1,8,18,18,1,8,27,10,4,8,4,10,49,8,1,10,39,8,11,10,32,8,3,18,2,8,21,10,12,8,3,18,1,8,29,10,4,8,4,10,26,8,6,10,5,8,5,10,5,8,2,10,48,8,3,10,3,8,10,10,2,8,17,10,34,8,3,10,15,8,1,10,3,8,6,10,6,8,15,10,4,8,2,10,67,8,25,10,13,8,11,10,3,8,8,10,3,8,1,10,31,9,1,4,860,},
{4,787,18,1,3,2,14,1,15,8,14,2,3,1,14,4,15,2,14,7,15,1,14,3,16,4,14,1,15,1,14,1,16,23,17,4,16,4,17,6,6,1,7,2,6,1,16,19,17,5,14,4,17,2,16,76,14,3,16,3,17,3,16,9,17,1,14,6,15,2,14,2,15,1,8,1,10,3,8,1,15,1,14,25,15,3,8,1,9,1,10,2,8,1,15,1,14,4,15,1,8,1,9,1,10,1,8,1,18,2,8,3,10,4,8,6,10,4,8,1,18,1,15,2,18,2,8,14,15,5,14,4,15,3,14,3,3,5,14,11,15,1,8,3,15,1,14,3,16,14,14,1,15,1,14,1,16,22,14,7,16,4,17,1,14,1,16,5,3,1,14,9,16,16,17,2,16,26,14,3,17,2,14,1,17,2,16,8,17,4,16,3,14,3,17,2,16,1,17,3,3,1,17,1,14,19,17,1,14,8,16,3,17,1,14,33,3,1,14,23,15,2,14,58,17,5,14,28,7,10,15,17,8,3,15,1,14,2,15,1,8,46,10,6,8,2,10,44,8,7,10,37,8,2,10,42,8,3,18,3,8,13,10,1,8,6,10,3,8,2,10,8,8,10,10,2,8,21,10,3,8,7,10,24,8,5,10,5,8,6,10,4,8,2,10,48,8,3,10,3,8,28,10,34,8,4,10,14,8,2,10,4,8,5,10,5,8,8,10,2,8,6,10,59,8,1,10,11,8,30,10,4,8,1,10,3,8,14,10,2,8,7,10,37,4,860,},
{4,782,19,4,4,1,18,2,14,2,15,8,14,2,3,1,14,3,15,4,14,10,16,4,14,1,8,1,14,1,16,23,14,3,17,1,16,3,17,2,6,1,14,1,6,1,17,3,6,2,16,107,17,3,16,4,17,2,16,8,17,1,14,6,15,2,14,4,15,1,8,1,10,2,8,1,14,9,17,2,14,10,15,1,14,6,15,1,8,1,9,1,10,2,8,2,14,4,15,1,8,4,18,3,8,1,9,1,10,3,9,1,8,6,10,4,8,1,15,1,14,1,15,2,18,1,8,9,18,1,8,7,18,1,15,1,14,11,3,4,14,11,15,2,8,1,15,1,14,5,16,12,17,1,14,3,16,21,14,4,17,2,14,2,17,1,16,4,14,1,17,1,16,3,3,1,14,8,3,2,16,17,17,1,16,26,17,1,14,1,17,1,16,2,17,3,16,1,17,1,16,6,17,1,14,2,17,1,16,3,14,4,17,5,3,1,14,29,16,3,17,1,14,33,3,2,14,22,15,2,14,57,17,2,16,1,17,3,14,19,17,1,14,4,7,1,14,2,7,10,15,3,8,3,15,10,8,5,15,1,14,2,15,1,8,46,10,6,8,2,10,10,8,2,10,31,8,8,10,81,8,4,18,2,8,13,10,1,8,11,10,8,8,7,10,1,8,1,10,3,8,21,10,3,8,8,10,24,8,6,10,3,8,6,10,4,8,1,10,49,8,3,10,4,8,25,10,10,8,8,10,18,8,4,10,3,8,2,10,9,8,2,10,4,8,5,10,5,8,6,10,5,8,5,10,59,8,1,10,9,8,21,10,3,8,31,10,44,4,861,},
{4,782,19,4,4,2,18,1,14,1,15,10,14,5,15,3,14,11,16,3,14,2,15,1,14,1,16,23,17,1,14,1,17,2,16,3,17,2,6,2,17,2,16,97,6,1,17,3,16,26,17,1,6,1,14,1,15,2,14,9,15,1,8,4,14,9,17,1,16,2,17,1,14,8,15,2,14,6,15,1,8,1,10,3,8,1,15,2,14,2,15,1,18,1,8,3,18,4,8,1,10,3,8,2,15,5,8,1,10,2,8,1,15,1,14,3,15,2,18,1,8,8,18,1,8,8,18,1,15,1,14,11,3,3,14,3,15,3,14,2,3,1,14,3,15,4,14,4,16,10,14,1,17,1,14,3,16,18,17,1,14,1,17,1,14,5,16,1,17,1,14,3,16,4,14,1,17,1,16,3,14,2,15,3,14,3,3,2,16,45,17,3,16,4,17,2,14,1,17,2,16,4,17,1,14,3,17,1,16,3,14,1,17,4,14,1,17,1,14,31,17,4,14,23,3,2,14,12,3,2,14,19,15,1,14,56,17,3,16,1,17,2,14,24,7,3,14,1,7,11,15,3,8,2,15,2,8,2,15,6,8,6,15,1,14,1,15,2,18,1,8,45,10,6,8,1,10,8,8,6,10,31,8,6,10,81,8,11,10,3,8,17,10,8,8,6,10,5,8,33,10,14,8,1,10,9,8,15,10,55,8,2,10,5,8,23,10,9,8,10,10,19,8,3,10,3,8,2,10,9,8,3,10,3,8,6,10,4,8,5,10,6,8,5,10,6,8,3,10,60,8,3,10,2,8,15,10,4,8,31,10,12,8,4,10,29,4,860,},
{4,782,19,4,4,2,18,1,14,1,15,5,14,2,15,3,14,18,16,3,17,1,14,1,15,2,16,25,17,2,16,5,17,3,16,99,17,1,6,2,17,1,16,26,17,1,6,1,7,1,14,12,15,2,8,2,15,1,14,1,15,4,14,4,17,3,14,8,15,2,14,6,15,1,8,1,9,1,10,2,8,3,15,4,8,3,15,1,14,2,18,1,9,1,10,3,9,1,15,3,14,3,15,1,8,1,18,1,14,6,15,1,8,3,10,3,8,8,18,1,8,3,18,1,14,2,3,3,14,7,3,3,14,2,15,4,14,1,3,2,14,3,15,1,8,2,15,3,14,3,16,8,14,5,17,1,16,18,14,7,17,1,16,2,14,3,16,3,14,2,16,3,3,1,14,1,15,1,8,2,15,2,14,3,16,6,17,1,16,37,17,7,16,3,14,4,17,1,16,2,17,1,14,4,17,1,16,3,17,1,16,1,17,2,14,12,17,2,14,13,17,1,14,33,3,2,14,4,15,1,14,7,3,2,14,75,17,6,14,8,17,2,14,15,7,2,14,2,7,9,14,3,15,5,8,4,15,3,8,8,15,1,14,1,15,2,18,3,8,43,10,6,8,2,10,7,8,6,10,33,8,3,10,83,8,6,18,1,8,2,10,6,8,15,10,7,8,7,10,3,8,25,10,2,8,4,10,1,8,3,10,24,8,16,10,62,8,11,10,4,8,6,10,10,8,8,10,21,8,2,10,5,8,1,10,10,8,4,10,3,8,5,10,4,8,3,10,7,8,5,10,6,8,5,10,59,8,1,10,5,8,13,10,4,8,24,10,1,8,13,10,4,8,1,9,1,18,3,8,1,10,27,4,861,},
{4,782,19,4,4,1,18,1,3,2,15,2,8,1,15,1,14,4,15,2,14,7,3,2,14,9,16,3,14,1,15,2,14,1,16,12,17,2,16,18,17,2,16,20,17,1,16,67,17,3,16,10,17,1,6,2,16,26,17,1,6,1,14,15,15,9,14,4,17,5,16,1,17,1,14,12,15,1,8,7,15,3,18,1,8,1,18,1,14,3,15,1,8,1,10,3,8,1,15,3,14,4,15,1,14,2,3,2,14,3,15,1,8,2,10,6,8,4,18,1,15,1,18,2,8,2,18,1,14,2,3,3,14,8,3,1,14,2,15,2,8,1,15,1,14,2,3,3,14,2,15,1,8,1,9,1,8,2,15,2,14,2,16,8,14,4,17,1,16,19,14,1,15,3,14,3,17,2,16,1,17,3,16,2,14,3,16,3,14,2,8,3,15,1,14,3,3,2,16,42,17,2,14,2,17,4,16,3,14,4,17,1,16,2,17,1,14,5,16,5,17,2,14,10,17,8,14,8,17,4,14,36,15,3,14,6,3,3,14,75,17,4,14,7,17,5,14,14,7,1,14,4,7,9,14,5,15,2,8,3,15,4,8,9,15,3,18,3,8,43,10,5,8,4,10,7,8,3,10,63,8,3,10,59,8,5,10,8,8,5,10,1,8,6,10,8,8,6,10,4,8,25,10,2,8,3,10,3,8,2,10,5,8,1,10,17,8,18,10,67,8,3,10,6,8,5,10,10,8,8,10,23,8,1,10,16,8,5,10,4,8,3,10,14,8,4,10,7,8,6,10,64,8,14,10,5,8,14,10,1,8,7,10,5,8,5,18,1,8,3,10,4,8,1,18,4,9,1,10,27,18,1,4,860,},
{4,782,19,4,4,1,18,1,3,2,14,1,15,1,8,1,15,1,14,5,15,1,14,6,3,3,14,9,3,2,14,2,15,1,14,2,16,13,14,2,16,15,17,4,16,20,17,1,16,67,17,2,16,12,6,2,16,26,17,1,6,1,14,1,17,1,16,1,14,13,15,1,8,3,15,4,14,6,17,2,16,3,17,1,14,13,15,1,8,6,15,1,18,4,14,4,15,1,8,1,9,1,8,2,15,4,14,5,3,4,14,2,15,1,8,2,10,8,8,1,18,1,14,2,15,2,18,1,8,1,15,1,14,2,3,3,14,11,15,1,8,2,15,1,14,2,3,1,16,1,3,1,14,2,15,1,9,1,10,2,9,1,8,1,15,1,14,2,16,8,14,4,16,19,14,1,15,1,8,2,15,1,14,4,17,1,16,4,14,5,16,3,14,1,15,1,8,2,15,2,14,5,17,1,16,41,17,1,14,3,17,4,16,3,17,2,14,2,17,1,16,2,17,1,14,4,17,1,16,5,17,1,14,11,16,1,17,1,16,2,17,4,14,8,17,4,14,36,15,3,14,6,3,2,14,39,15,1,14,35,17,4,14,8,17,6,14,12,7,3,14,3,7,9,14,5,15,2,8,3,15,5,8,11,18,2,8,45,10,4,8,5,10,72,8,4,10,58,8,5,10,8,8,4,10,2,8,6,10,8,8,6,10,5,8,24,10,2,8,2,10,4,8,2,10,23,8,7,10,2,8,9,10,32,8,3,10,41,8,5,10,10,8,7,10,41,8,5,10,4,8,6,10,7,8,3,10,12,8,6,10,63,8,15,10,7,8,12,10,4,8,5,10,6,8,5,10,6,8,1,9,1,18,3,9,1,10,27,18,1,4,860,},
{4,782,19,4,4,1,18,1,3,2,14,1,15,1,8,1,15,1,14,12,3,3,14,15,16,14,14,2,16,15,17,2,16,23,17,1,16,80,6,2,17,1,16,26,17,1,16,6,17,1,14,10,15,1,8,1,15,5,14,6,17,1,16,3,17,2,14,11,3,1,14,2,15,2,8,4,15,1,18,3,15,1,14,5,15,12,14,2,3,3,14,1,15,1,18,1,8,1,10,9,8,1,15,1,14,3,15,1,18,3,14,3,3,1,14,4,15,2,14,5,15,2,8,1,15,2,14,1,3,4,14,2,15,1,9,1,10,3,8,1,15,1,14,2,16,8,17,1,14,2,17,1,16,19,14,1,8,3,15,1,14,1,17,1,14,3,16,4,14,2,15,1,14,2,16,3,14,1,15,1,8,2,15,1,14,7,17,1,16,40,17,1,14,2,17,1,16,2,17,2,16,11,17,2,14,1,17,1,16,6,17,1,14,11,16,1,17,7,14,12,17,1,14,44,3,2,14,76,17,3,14,8,17,6,14,11,7,4,14,5,7,6,15,2,14,5,15,9,8,39,18,1,8,19,10,3,8,7,10,70,8,4,10,58,8,5,10,9,8,3,10,2,8,6,10,8,8,4,10,7,8,24,10,2,8,1,10,30,8,6,10,3,8,10,10,30,8,5,10,36,8,2,10,5,8,2,10,10,8,4,10,44,8,5,10,4,8,7,10,4,8,5,10,13,8,5,10,62,8,18,10,6,8,11,10,5,8,5,10,6,8,2,10,9,8,1,9,2,18,1,8,1,10,27,18,1,4,860,},
{4,782,19,4,4,2,3,2,14,1,15,3,14,17,15,1,14,12,16,15,14,1,17,1,16,39,14,2,16,58,17,1,14,2,6,1,16,17,6,1,7,1,6,1,16,33,17,1,14,10,15,4,14,8,17,1,16,3,17,1,14,13,16,1,3,1,14,2,15,2,8,5,18,1,15,2,14,7,15,6,8,3,15,2,14,5,15,1,18,1,8,1,10,9,8,1,18,1,14,3,15,1,18,3,15,1,14,6,15,3,14,5,15,1,8,2,15,1,14,2,3,3,14,3,15,1,9,1,10,2,9,1,15,1,14,2,16,10,17,1,16,20,17,1,14,1,8,3,14,2,17,2,14,2,16,4,14,1,15,2,14,1,17,1,16,3,14,1,15,1,8,2,15,1,14,8,17,1,16,40,17,2,16,4,17,1,16,21,14,13,17,8,14,12,17,7,14,37,3,2,14,63,17,1,14,14,17,1,14,7,17,8,14,10,7,4,14,5,7,6,15,3,14,4,15,5,14,3,15,2,8,38,18,2,8,30,10,69,8,2,10,58,8,7,10,8,8,10,10,9,8,3,10,8,8,24,10,33,8,5,10,5,8,9,10,30,8,7,10,34,8,2,10,1,8,1,10,3,8,1,10,56,8,1,10,1,8,7,10,5,8,1,15,1,14,1,8,3,10,3,8,6,10,12,8,4,10,51,8,8,10,2,8,21,10,5,8,10,10,6,8,5,10,11,8,1,10,37,4,861,},
{4,782,19,5,4,2,18,1,3,1,14,19,15,3,14,11,17,1,16,15,17,1,14,2,17,1,16,37,14,1,16,58,6,1,7,1,14,1,6,1,16,17,6,1,7,1,6,1,16,33,14,8,15,1,14,13,17,1,16,5,17,4,14,14,15,2,8,4,18,1,15,1,14,4,15,2,14,4,15,3,8,2,9,2,8,1,15,2,14,3,15,1,18,1,8,1,10,11,18,1,15,3,18,1,8,3,18,1,15,10,14,3,15,2,8,2,15,1,14,1,3,3,14,5,15,1,9,2,8,1,14,2,17,1,16,7,17,2,16,22,14,1,15,1,8,1,15,1,14,3,17,4,16,4,14,1,8,2,14,1,16,3,3,1,14,1,8,3,15,1,14,7,17,2,16,30,17,2,16,8,17,2,16,25,17,1,14,15,17,5,14,14,17,5,14,37,3,2,14,63,17,3,14,5,17,3,14,5,17,14,14,13,7,4,14,4,7,7,14,6,15,3,14,6,15,2,8,37,18,2,8,31,10,2,8,1,10,42,8,1,10,79,8,11,10,8,8,8,10,10,8,3,10,8,8,23,10,33,8,6,10,5,8,9,10,30,8,6,10,35,8,2,10,57,8,2,10,3,8,5,10,2,8,5,10,2,8,2,14,1,8,12,10,13,8,2,10,52,8,20,10,4,8,15,10,67,4,861,},
{4,782,19,6,4,1,18,2,3,1,14,17,15,6,14,10,16,16,17,4,16,95,17,2,16,19,17,1,6,2,16,33,14,7,15,1,8,1,15,2,14,4,15,1,14,5,17,2,16,11,14,13,15,1,8,4,18,1,15,1,14,3,15,1,18,1,8,1,15,1,14,2,15,4,8,2,10,1,9,1,15,3,14,2,15,1,18,1,8,2,10,11,8,1,18,3,8,5,18,2,15,1,18,1,15,7,14,2,15,1,8,3,15,1,14,1,3,3,14,6,8,2,15,1,14,1,16,8,14,3,16,22,14,1,15,3,14,1,17,1,14,2,17,1,16,6,14,1,8,2,14,1,16,3,14,1,15,1,8,1,9,2,8,1,14,7,16,19,17,1,16,12,17,1,14,1,17,1,16,7,17,2,16,4,17,1,16,8,17,4,16,8,17,1,14,16,17,6,14,5,17,4,14,5,17,2,14,5,17,2,14,22,3,1,14,9,3,4,14,59,17,1,16,2,17,2,14,3,17,6,14,3,17,12,14,6,17,1,14,8,7,4,14,4,7,5,14,8,15,3,14,7,15,1,8,6,15,2,8,29,18,3,8,11,18,2,8,23,10,118,8,14,10,7,8,5,10,12,8,4,10,7,8,23,10,13,8,5,10,15,8,6,10,6,8,9,10,30,8,4,10,4,8,1,10,20,8,2,10,9,8,2,10,57,8,2,10,4,8,4,10,3,8,4,10,3,8,16,10,54,8,3,10,9,8,3,18,2,8,7,10,2,8,4,10,6,8,13,10,20,8,2,10,17,8,2,10,24,4,864,},
{4,783,19,5,4,2,18,1,3,2,14,2,15,1,14,12,15,3,14,2,15,3,14,7,15,2,16,21,17,1,16,150,14,7,15,1,8,2,15,1,14,17,17,4,16,3,14,12,15,2,8,4,15,1,14,3,15,1,9,2,8,1,15,1,14,1,15,4,8,2,9,1,8,2,15,5,18,1,8,1,10,12,8,13,15,3,18,2,15,5,8,2,15,1,14,2,3,2,14,2,15,1,14,5,15,1,14,2,16,8,14,3,16,5,17,1,14,1,17,1,16,4,17,1,16,9,14,1,15,2,14,1,17,1,16,1,17,2,16,6,17,1,14,1,8,1,15,1,14,1,16,3,3,1,15,1,8,1,10,2,8,1,15,1,14,5,3,1,16,31,17,1,14,2,17,1,16,8,17,1,16,3,17,2,16,8,17,3,16,3,17,2,14,2,16,2,14,28,17,4,14,5,17,2,14,5,17,1,16,1,17,1,14,21,3,2,14,9,3,2,14,3,3,2,14,55,17,26,14,12,17,4,14,24,7,2,14,7,15,2,8,5,15,3,18,1,8,27,18,2,8,41,10,115,8,14,10,7,8,3,10,13,8,4,10,7,8,23,10,14,8,4,10,15,8,7,10,5,8,9,10,5,8,2,10,31,8,1,10,20,8,3,10,8,8,1,10,58,8,3,10,3,8,4,10,4,8,3,10,3,8,8,10,4,8,4,10,3,8,3,10,47,8,4,10,9,8,3,18,2,8,7,10,2,8,3,10,9,8,10,10,20,8,3,10,17,8,2,10,23,18,1,4,864,},
{4,791,3,2,18,1,9,2,8,1,15,2,14,6,3,2,14,2,15,1,14,4,15,3,14,8,16,13,17,2,16,6,17,1,16,99,17,2,16,49,14,8,15,1,8,1,15,1,14,7,15,1,14,5,15,3,14,5,17,3,14,13,15,1,8,3,15,1,14,4,8,1,10,2,8,2,15,5,8,8,18,1,15,2,8,1,10,11,8,2,9,1,8,11,18,1,15,2,18,1,8,4,18,2,8,2,15,1,14,2,3,1,14,2,15,1,14,10,17,1,16,5,17,3,16,5,17,1,14,3,17,1,16,13,14,1,15,2,14,1,17,1,16,8,17,1,14,4,16,4,3,1,15,1,8,1,10,2,9,1,15,1,14,1,3,2,14,1,3,8,16,25,17,2,14,1,16,14,3,3,14,3,16,9,14,5,17,1,14,29,17,1,14,7,17,3,14,3,17,4,14,98,17,3,16,4,17,13,14,13,17,1,14,1,17,1,14,28,7,2,14,5,15,3,8,5,15,3,18,2,8,17,10,2,8,50,10,32,8,2,10,44,8,4,10,34,8,12,10,2,8,1,10,5,8,7,10,8,8,4,10,6,8,14,10,2,8,8,10,28,8,1,10,7,8,4,10,5,8,5,10,1,8,3,10,59,8,3,10,37,8,1,10,29,8,4,10,3,8,2,10,10,8,1,15,1,14,1,18,1,8,3,10,7,8,10,10,45,8,4,10,11,8,9,10,1,8,4,10,12,8,8,10,12,8,1,10,8,8,2,10,18,8,2,10,23,4,865,},
{4,791,18,3,9,1,10,1,8,2,15,4,14,2,3,3,14,2,15,1,14,4,15,1,8,1,15,1,14,2,3,1,14,5,3,1,16,12,17,1,14,1,16,6,17,2,16,76,17,2,16,20,14,2,17,1,16,6,14,1,17,1,16,40,17,3,14,6,15,2,14,8,15,1,14,3,15,1,8,3,15,2,14,3,17,3,14,13,15,2,8,2,15,1,14,4,8,1,10,3,8,2,15,5,8,7,18,1,15,2,18,1,10,11,8,1,9,3,8,10,18,1,15,2,18,1,8,8,15,1,14,5,15,1,14,6,17,3,14,1,17,1,16,4,17,3,16,5,17,1,14,4,17,1,16,12,17,1,14,1,15,2,14,2,16,8,6,1,14,3,16,5,3,1,14,1,18,1,9,1,10,2,18,1,14,6,3,2,14,4,3,2,16,22,17,3,14,1,16,13,3,4,14,4,16,8,14,43,17,11,14,76,17,1,14,21,17,2,16,1,17,16,14,14,17,2,14,28,7,1,15,1,14,5,15,3,8,6,15,2,18,2,8,17,10,2,8,39,10,4,8,2,10,37,8,2,10,44,8,4,10,36,8,7,10,2,8,6,10,3,8,7,10,8,8,4,10,4,8,16,10,3,8,7,10,6,8,2,10,19,8,3,10,7,8,3,10,4,8,6,10,1,8,4,10,24,8,3,10,13,8,4,10,15,8,1,10,37,8,2,10,31,8,2,10,15,8,1,14,2,15,1,8,3,10,8,8,8,10,9,8,1,10,37,8,1,10,13,8,7,10,4,8,2,10,13,8,7,10,13,8,1,10,6,8,3,10,19,8,1,10,22,4,867,},
{4,788,19,2,4,2,18,4,8,4,15,2,14,3,3,3,14,6,15,2,14,3,3,1,14,6,16,18,17,1,14,2,17,2,16,76,17,2,16,19,17,1,14,1,17,1,16,5,17,1,14,2,16,41,17,1,14,20,15,2,8,3,15,3,14,3,17,1,16,1,17,1,14,12,15,5,14,3,15,1,8,1,10,3,8,2,15,7,8,5,18,1,15,1,14,1,18,1,8,1,10,10,8,1,10,1,9,2,8,9,18,2,15,2,18,1,8,8,15,1,14,12,17,5,16,5,17,2,16,5,17,1,14,4,17,1,16,12,14,2,15,2,14,2,16,9,17,2,16,7,3,1,14,1,18,1,9,2,8,1,15,3,18,2,15,1,14,1,15,2,14,4,3,4,16,19,17,2,14,2,17,1,16,12,3,4,14,3,16,9,14,5,17,1,14,28,17,1,14,1,17,1,14,5,17,6,14,3,17,3,14,92,17,1,14,7,17,1,14,12,17,4,14,13,17,5,14,26,7,2,14,5,15,3,8,6,15,1,18,2,8,22,18,4,8,32,10,44,8,2,10,43,8,4,10,38,8,24,10,8,8,5,10,2,8,27,10,6,8,2,10,18,8,3,10,8,8,3,10,4,8,10,10,4,8,2,10,19,8,3,10,13,8,4,10,1,8,1,10,6,8,2,10,4,8,2,10,19,8,1,10,17,8,2,10,48,8,1,18,1,14,1,15,1,8,4,10,8,8,4,10,55,8,2,10,7,8,7,10,19,8,7,10,19,8,4,10,19,8,1,10,21,4,868,},
{4,788,19,3,4,2,18,1,3,1,14,2,15,1,8,2,15,3,14,2,3,1,16,2,3,1,14,4,15,3,14,10,16,17,17,1,14,3,17,2,16,77,17,1,16,19,17,1,14,1,17,1,16,5,17,1,14,1,6,1,16,41,17,1,14,13,3,2,14,5,15,1,8,4,15,3,14,2,17,1,16,3,17,1,14,19,15,1,8,1,9,2,8,2,15,2,14,3,15,5,8,3,15,1,14,3,18,1,10,12,9,2,8,5,18,5,15,3,18,1,8,8,15,1,14,2,3,1,14,9,17,1,16,9,17,2,16,6,17,3,16,13,17,1,14,6,17,1,16,14,14,1,3,1,16,1,3,2,15,1,8,2,18,1,15,2,18,1,8,4,9,1,8,2,15,2,14,4,3,1,16,20,17,1,14,2,17,1,16,13,3,3,17,1,16,11,17,1,14,23,17,7,14,1,17,5,14,5,17,6,14,3,17,4,14,89,17,5,14,34,17,8,14,23,7,2,14,5,15,3,8,8,18,1,8,24,18,3,8,32,10,89,8,4,10,41,8,13,10,1,8,7,10,7,8,15,10,4,8,17,10,5,8,2,10,16,8,4,10,9,8,3,10,4,8,9,10,4,8,3,10,20,8,2,10,14,8,3,10,1,8,1,10,6,8,3,10,2,8,3,10,17,8,2,10,19,8,1,10,48,8,1,18,1,15,1,18,1,8,6,10,23,8,1,10,40,8,3,10,6,8,8,10,19,8,7,10,20,8,3,10,16,8,1,10,24,4,868,},
{4,788,19,4,4,1,18,1,3,2,14,3,15,2,8,1,15,2,14,1,3,1,16,3,3,1,14,16,16,17,17,1,14,3,16,99,14,2,17,1,16,6,17,2,16,36,17,1,16,4,17,1,14,13,3,2,14,5,15,1,8,4,15,1,14,4,16,4,17,1,14,16,15,5,8,4,15,2,14,6,15,3,8,1,15,1,14,5,8,1,10,11,9,2,8,4,18,2,15,6,18,2,8,8,15,1,14,2,3,2,14,4,17,2,14,1,17,1,16,10,17,2,16,20,14,2,17,1,16,3,17,3,16,14,3,1,14,2,3,3,14,1,18,1,8,1,18,1,15,1,14,1,15,1,18,1,8,1,9,1,10,5,9,1,8,1,15,1,14,2,16,22,17,2,16,14,3,3,16,13,14,22,17,1,16,6,17,7,14,5,17,13,14,89,17,9,14,26,17,1,14,5,17,5,14,23,7,1,15,2,14,5,15,2,8,40,18,2,8,27,10,44,8,2,10,17,8,1,10,24,8,4,10,43,8,11,10,5,8,2,10,9,8,14,10,4,8,18,10,5,8,2,10,17,8,2,10,10,8,3,10,5,8,7,10,6,8,2,10,20,8,2,10,15,8,4,10,6,8,8,10,17,8,1,10,20,8,1,10,48,8,2,18,1,8,8,10,7,8,1,10,8,8,3,10,3,8,1,10,40,8,3,10,6,8,7,10,20,8,7,10,37,8,4,10,22,4,869,},
{4,788,19,4,4,1,18,1,3,2,14,3,15,1,8,1,9,1,8,1,15,1,14,1,3,1,16,4,3,1,14,15,16,16,17,1,14,4,16,98,14,3,17,1,16,40,17,1,16,2,14,2,17,1,16,3,17,1,14,13,3,2,14,5,15,1,8,3,15,1,14,5,16,5,14,11,15,1,14,4,15,3,14,3,15,3,14,10,15,2,14,2,3,3,14,2,18,1,8,1,10,4,9,1,10,4,9,1,8,4,18,1,15,3,14,1,15,3,18,3,8,8,15,1,14,3,3,1,14,4,17,1,16,1,17,1,16,11,17,2,16,19,14,4,16,19,3,1,14,1,15,1,18,1,15,1,14,3,15,2,14,4,15,1,8,2,10,6,9,1,8,1,14,2,16,22,17,2,16,10,3,6,16,14,14,22,17,1,16,7,17,4,14,1,17,1,14,5,17,10,16,1,17,3,14,4,17,4,14,10,17,1,14,72,17,1,16,2,17,2,14,61,7,1,15,2,14,4,7,1,15,2,8,24,18,1,8,45,10,2,8,9,10,22,8,2,10,8,8,2,10,16,8,3,10,22,8,4,10,44,8,10,10,18,8,13,10,2,8,9,18,1,8,10,10,5,8,2,10,29,8,3,10,5,8,7,10,6,8,2,10,47,8,8,10,38,8,1,10,26,8,2,10,20,8,14,10,4,8,1,10,6,8,5,10,52,8,8,10,20,8,5,10,38,8,7,10,20,4,869,},
{4,788,19,4,4,2,3,2,14,3,15,1,9,2,8,1,15,1,14,1,16,6,3,1,14,13,16,16,14,1,17,1,14,4,16,90,17,2,16,5,17,1,14,4,16,40,17,1,16,1,17,1,14,2,17,1,16,2,17,1,14,15,3,1,14,6,15,4,14,4,17,1,16,5,17,1,14,9,15,2,14,4,15,3,14,9,15,5,14,5,3,5,14,2,15,1,8,5,9,1,10,2,9,1,8,5,18,1,15,2,14,3,15,1,18,3,8,9,15,1,14,3,3,1,14,4,17,1,16,12,17,1,14,1,17,1,16,19,14,4,17,1,16,17,3,1,14,1,15,1,8,2,10,1,8,1,18,1,15,3,14,2,3,2,14,1,15,1,8,1,9,2,10,4,9,1,8,1,14,2,16,22,17,3,16,7,3,1,14,4,3,3,16,14,14,22,17,1,16,7,17,3,14,9,17,7,16,4,17,12,14,7,17,5,14,26,3,1,14,35,17,1,14,6,17,1,16,2,17,2,14,61,7,1,15,2,14,4,7,1,15,2,8,24,18,1,8,8,10,1,8,56,10,18,8,2,10,20,8,4,10,22,8,4,10,45,8,9,10,20,8,11,10,2,8,20,10,6,8,1,10,26,8,1,10,2,8,3,10,6,8,7,10,5,8,2,10,93,8,2,10,24,8,3,10,20,8,14,10,4,8,2,10,5,8,4,10,40,8,1,10,12,8,5,10,2,8,2,10,19,8,4,10,38,8,9,10,17,4,871,},
{4,788,19,3,4,3,3,1,14,1,15,1,8,3,9,2,8,1,14,2,16,6,3,1,14,13,16,16,14,5,17,1,16,90,17,4,16,2,17,1,14,2,15,1,14,2,16,27,17,2,16,11,17,3,14,2,17,2,14,25,15,2,14,5,17,1,16,6,17,1,14,8,15,3,14,2,15,2,8,1,15,1,14,1,16,2,3,1,14,5,15,2,8,2,15,2,14,4,3,7,14,2,18,1,8,4,10,2,8,6,18,1,15,2,14,3,15,1,18,2,8,10,15,1,14,3,3,1,14,4,17,1,16,9,17,1,14,4,17,1,16,20,14,4,16,6,17,2,16,6,17,1,14,3,15,1,8,1,10,4,8,1,15,2,14,2,3,3,14,2,15,1,18,2,9,1,10,2,9,1,8,1,15,1,14,2,16,23,17,1,16,8,14,6,3,2,16,14,14,23,17,1,16,6,17,1,14,11,17,2,16,11,17,10,14,5,17,7,14,6,3,2,14,17,3,2,14,33,17,3,14,7,17,2,14,63,7,1,15,1,7,1,14,4,7,1,15,3,8,31,10,2,8,64,10,10,8,2,10,19,8,6,10,15,8,1,10,5,8,2,10,47,8,10,10,19,8,33,10,33,8,1,10,3,8,3,10,7,8,5,10,5,8,2,10,93,8,2,10,23,8,5,10,18,8,1,10,3,8,4,10,1,8,7,10,3,8,1,10,7,8,2,10,41,8,3,10,6,8,8,10,4,8,2,10,19,8,1,10,41,8,8,10,16,4,872,},
{4,793,18,1,3,1,14,1,8,2,10,1,9,2,8,1,15,1,14,2,16,6,3,1,14,13,16,16,14,1,17,5,16,91,17,4,14,2,17,1,14,3,17,1,16,27,17,1,16,13,17,2,16,3,17,1,14,10,16,2,14,21,16,8,17,2,14,5,15,3,14,2,15,1,8,2,15,1,14,1,16,3,14,4,15,2,8,5,15,1,14,2,3,2,14,3,3,4,14,2,15,1,18,1,8,2,10,2,8,7,18,2,15,1,14,1,15,1,18,2,8,11,15,1,14,8,16,9,17,1,14,5,16,21,14,4,16,6,14,2,17,1,16,4,17,1,14,3,18,1,8,1,10,5,8,1,15,3,14,2,3,2,14,2,15,8,14,3,16,23,17,1,16,8,14,5,3,2,16,15,14,23,17,1,16,4,17,3,14,10,17,1,16,5,17,1,16,8,17,3,16,1,17,4,14,6,17,5,14,9,3,2,14,16,3,2,14,33,17,3,14,71,7,4,14,4,7,1,15,5,8,7,15,2,8,23,18,1,15,1,18,2,8,60,10,26,8,11,10,14,8,1,10,55,8,10,10,4,8,3,10,12,8,32,10,13,8,2,10,17,8,1,10,4,8,3,10,8,8,5,10,3,8,4,10,50,8,1,10,40,8,2,10,24,8,5,10,28,8,7,10,53,8,3,10,4,8,5,10,2,8,2,10,10,8,2,10,28,8,3,10,28,8,6,10,14,4,873,},
{4,792,18,1,3,2,14,1,8,1,10,3,8,1,15,2,14,2,3,1,16,5,3,2,14,12,16,21,17,2,16,77,17,1,16,6,17,3,16,3,17,2,16,1,17,1,14,2,16,2,17,2,16,6,17,2,16,19,17,1,16,19,17,1,14,2,15,2,14,6,16,2,14,10,3,1,14,5,15,3,14,2,16,8,17,1,14,2,17,1,16,1,17,1,14,2,15,1,14,3,15,1,8,2,15,1,14,1,17,1,16,2,14,5,15,1,8,5,15,1,14,8,3,1,16,2,3,1,14,2,18,2,8,1,10,2,9,1,8,6,18,7,8,10,18,1,14,8,17,1,16,9,14,2,15,1,7,1,14,1,17,1,16,20,17,1,14,3,17,1,16,6,15,2,14,1,16,4,14,3,15,1,8,2,10,5,8,1,15,4,14,16,16,32,14,5,3,1,16,15,17,1,14,23,17,1,16,3,17,2,14,12,17,1,16,4,17,4,16,5,17,9,14,6,17,5,14,9,3,2,14,16,3,2,14,79,17,2,14,34,7,1,15,3,14,1,15,2,8,5,15,3,8,19,10,1,8,3,18,1,14,2,18,2,8,60,10,8,8,2,10,7,8,2,10,5,8,11,10,71,8,19,10,2,8,1,10,6,8,33,10,10,8,5,10,11,8,2,10,3,8,3,10,4,8,2,10,8,8,6,10,2,8,5,10,46,8,4,10,31,8,3,10,6,8,2,10,24,8,5,10,24,8,1,10,3,8,7,10,56,8,9,10,13,8,3,10,61,8,6,10,11,4,874,},
{4,792,3,4,14,1,8,4,15,2,14,4,3,5,14,13,16,22,17,1,16,71,17,1,16,5,17,1,16,6,17,1,14,1,17,1,16,7,17,2,16,10,17,2,16,17,17,2,16,20,14,3,15,1,14,9,3,1,14,15,15,3,14,2,16,8,14,3,17,1,16,2,14,6,15,2,8,1,15,1,14,10,15,1,8,5,14,8,3,1,16,2,3,2,14,1,15,1,18,1,8,1,10,3,8,1,10,2,8,4,18,5,8,4,10,1,8,3,9,1,8,2,18,1,14,8,17,1,16,9,14,1,15,3,14,1,17,1,16,14,17,3,16,1,17,1,14,2,15,1,7,1,14,1,16,6,14,1,8,2,14,1,16,4,14,3,15,1,8,1,10,6,8,1,18,2,15,6,14,6,3,1,14,5,16,32,14,5,3,1,16,14,17,1,14,24,17,6,14,5,17,4,14,2,17,2,16,3,17,5,16,5,17,9,14,5,17,6,14,9,3,2,14,16,3,1,14,79,17,3,14,34,7,1,15,1,7,1,14,3,15,2,8,4,15,4,8,16,10,4,8,2,18,1,14,3,18,2,8,2,18,3,8,53,10,9,8,3,10,2,8,2,10,2,8,3,10,5,8,9,10,74,8,21,10,4,8,34,10,10,8,6,10,10,8,2,10,3,8,3,10,5,8,1,10,9,8,5,10,3,8,5,10,45,8,5,10,11,8,2,10,11,8,1,10,5,8,3,10,7,8,1,10,18,8,1,10,4,8,5,10,23,8,4,10,1,8,8,10,56,8,9,10,13,8,3,10,16,8,4,10,2,8,1,10,38,8,7,10,8,4,876,},
{4,791,18,1,3,4,14,1,15,7,14,6,3,3,14,12,16,107,17,1,14,1,17,1,16,19,17,1,16,15,17,5,16,17,14,2,17,1,14,7,17,1,14,11,15,3,14,7,15,2,14,3,16,8,17,1,14,2,17,1,16,2,17,1,14,6,15,3,14,11,15,1,8,4,15,1,14,7,3,1,16,3,3,1,14,2,15,1,8,1,9,1,10,4,9,1,8,5,18,3,8,4,10,7,8,1,15,1,14,8,17,1,16,9,14,1,15,3,14,1,16,13,17,1,14,6,15,3,14,1,17,1,16,5,14,1,15,1,8,1,15,1,14,1,16,4,17,1,14,2,15,1,8,1,10,6,8,3,18,5,15,2,14,5,3,2,14,2,3,1,17,1,16,32,14,4,16,15,17,1,14,26,17,1,14,1,17,1,14,5,17,2,16,3,17,4,16,4,17,6,16,4,17,9,14,5,17,8,14,7,3,2,14,132,7,1,15,2,14,5,15,1,8,4,15,4,8,15,10,5,8,2,18,2,14,2,18,7,8,53,10,8,8,4,10,2,8,2,10,2,8,3,10,6,8,7,10,76,8,20,10,3,8,35,10,10,8,7,10,9,8,2,10,3,8,2,10,16,8,5,10,4,8,5,10,44,8,5,10,11,8,2,10,11,8,1,10,6,8,2,10,1,8,1,10,23,8,5,10,1,8,1,10,26,8,14,10,56,8,3,18,2,8,3,10,14,8,4,10,15,8,8,10,38,8,2,7,2,8,3,10,7,4,876,},
{4,787,19,3,4,1,18,1,3,3,14,5,15,1,8,1,15,3,14,6,3,3,14,2,15,3,14,6,16,29,6,2,17,1,16,76,17,4,16,7,17,2,16,24,17,2,16,19,17,1,14,2,17,2,14,4,17,1,16,2,14,11,15,1,8,1,15,2,14,11,16,8,17,1,14,2,17,1,16,3,14,21,15,1,8,2,15,2,14,7,3,2,16,2,3,1,14,2,15,1,18,1,8,1,9,1,10,3,8,13,10,7,8,1,15,1,14,8,17,2,16,8,14,1,15,2,14,1,17,1,16,13,14,6,7,1,8,2,7,1,14,1,16,5,7,1,8,2,15,1,14,1,16,6,3,1,14,2,18,1,10,7,8,2,18,5,15,2,14,9,3,1,16,32,14,5,16,11,17,1,16,2,17,1,14,35,17,2,16,3,17,4,16,4,17,6,16,3,17,11,14,2,17,10,14,3,17,1,14,3,3,2,14,131,7,2,15,2,14,5,15,1,8,3,15,5,8,15,10,5,8,3,18,2,14,1,18,7,8,53,10,4,8,1,10,3,8,4,10,2,8,2,10,12,8,5,10,78,8,18,10,3,8,8,10,2,8,26,10,12,8,9,10,6,8,1,10,3,8,3,10,16,8,4,10,4,8,6,10,43,8,5,10,5,8,5,10,22,8,1,10,1,8,1,10,23,8,7,10,13,8,3,10,9,8,15,10,56,8,3,18,2,8,3,10,14,8,4,10,15,8,8,10,39,8,1,7,2,8,4,10,5,4,877,},
{4,786,19,4,4,2,18,1,14,1,15,3,14,4,15,1,8,2,15,2,14,5,3,3,14,2,15,3,14,2,3,1,14,3,3,1,16,28,6,1,7,1,6,1,16,78,17,1,14,1,17,2,16,5,14,2,16,44,17,1,14,3,16,2,17,1,14,3,16,3,14,11,15,1,8,2,15,1,14,11,3,1,16,8,14,3,16,3,17,1,14,9,15,2,14,9,15,2,8,1,15,2,14,8,3,5,14,2,15,2,8,2,10,1,8,14,10,7,8,1,15,1,14,5,3,1,14,2,17,2,16,8,14,1,15,1,7,1,14,1,16,13,14,6,7,2,15,1,7,1,14,1,16,5,14,1,7,1,8,1,7,1,17,1,16,8,3,1,14,1,18,1,10,7,8,3,18,4,15,1,14,9,3,2,16,32,14,4,17,1,16,10,17,1,14,39,17,2,16,3,17,4,16,4,17,15,16,4,17,18,14,25,15,1,14,107,7,1,15,3,8,1,15,1,14,6,15,1,8,2,15,1,8,1,15,2,8,11,10,2,8,3,10,2,18,1,10,2,8,1,18,1,8,2,18,6,8,4,18,4,8,49,10,3,8,1,10,3,8,3,10,18,8,3,10,79,8,13,18,2,8,3,10,2,8,8,10,3,8,26,10,7,8,2,10,9,8,5,10,9,8,1,10,17,8,4,10,4,8,6,10,45,8,3,10,3,8,7,10,23,8,2,10,23,8,5,10,14,8,6,10,7,8,2,10,4,8,3,10,6,8,1,10,55,8,7,10,4,8,9,10,2,8,10,10,10,8,7,10,40,8,6,10,4,4,878,},
{4,786,19,4,4,2,18,2,9,1,8,2,15,1,14,3,15,2,8,1,15,1,14,6,3,2,14,3,15,3,14,2,3,1,14,5,16,28,17,2,16,69,17,1,16,8,17,1,14,3,16,4,17,1,14,2,17,1,16,43,17,1,14,2,17,1,16,3,17,1,14,2,16,3,14,11,15,1,8,3,14,5,3,1,14,8,16,7,17,1,14,2,17,2,14,8,16,1,14,2,15,2,14,4,3,2,14,2,15,2,8,1,15,3,14,3,15,2,14,4,3,4,14,2,15,1,8,6,18,3,8,8,10,7,8,1,15,1,14,2,3,1,14,1,3,2,14,2,17,2,16,8,14,1,15,1,7,1,14,1,16,12,17,1,14,3,15,1,7,5,14,1,16,6,14,3,17,1,16,10,3,1,18,1,10,8,8,2,18,2,8,1,18,1,15,1,14,2,3,1,14,5,3,3,17,1,16,30,14,6,17,1,16,9,17,1,14,39,17,2,16,3,17,5,16,4,17,7,14,4,17,3,16,5,17,17,14,24,15,3,14,4,3,2,14,51,7,4,14,4,17,2,14,38,7,1,15,2,8,4,15,1,14,5,15,3,8,14,10,4,8,1,10,2,18,1,10,3,8,1,14,1,18,1,8,11,18,1,14,4,18,4,8,30,18,2,8,13,10,7,8,2,10,10,8,2,10,6,8,4,10,5,8,7,10,66,8,13,18,3,8,2,10,4,8,6,10,3,8,27,10,5,8,4,10,10,8,5,10,7,8,2,10,11,8,2,10,3,8,4,10,4,8,5,10,46,8,3,10,3,8,4,18,2,8,1,10,48,8,5,10,14,8,6,10,14,8,2,10,6,8,1,10,52,8,9,10,4,8,11,10,2,8,10,10,9,8,7,10,40,8,4,10,5,4,879,},
{4,786,19,4,4,1,18,2,9,1,10,2,8,1,15,2,14,2,15,4,14,6,3,2,14,8,3,1,14,5,16,99,17,2,16,6,17,1,14,3,17,1,16,4,17,1,14,2,17,1,16,4,17,4,16,35,17,3,16,5,17,2,16,2,17,1,14,11,15,1,8,3,15,1,14,2,3,4,14,4,15,2,14,2,16,7,14,2,17,2,14,7,17,1,16,1,14,2,15,2,14,9,15,5,14,1,15,3,14,5,3,5,14,2,15,1,8,8,18,1,8,7,10,7,8,1,15,1,14,2,3,1,14,2,3,1,14,2,17,2,16,8,14,3,17,1,16,12,14,2,15,5,14,2,17,1,16,20,3,1,14,1,18,1,8,1,10,6,8,7,18,1,15,1,14,1,3,1,14,3,3,4,17,3,16,29,14,6,16,13,14,38,17,4,14,2,17,3,16,4,17,7,14,1,17,4,16,9,17,8,16,2,17,2,16,1,17,1,16,1,14,58,17,3,14,23,7,4,14,43,7,1,15,4,8,3,15,1,14,4,15,2,8,4,15,3,18,1,8,8,10,4,8,2,10,4,8,1,18,1,14,1,18,1,8,11,18,1,14,6,15,1,18,3,8,41,10,21,8,2,10,6,8,5,10,5,8,1,10,1,8,9,10,61,8,14,18,1,8,2,10,6,8,5,10,3,8,24,10,9,8,3,10,11,8,5,10,19,8,3,10,2,8,5,10,3,8,6,10,49,8,4,18,4,8,1,10,23,8,1,10,43,8,5,10,77,8,6,10,5,8,12,10,2,8,11,10,10,8,4,10,49,4,880,},
{4,786,19,4,4,1,18,2,10,3,8,1,15,7,14,6,3,2,14,12,15,1,14,2,16,94,17,1,16,11,17,2,14,3,16,6,17,2,16,4,17,1,14,4,16,24,17,1,16,8,17,2,16,7,17,2,16,3,14,4,16,2,3,1,14,6,15,1,8,2,15,1,14,2,3,1,14,6,15,1,8,3,15,1,14,1,16,7,14,1,16,2,17,2,16,3,17,2,14,4,15,1,14,11,15,3,14,11,3,4,14,3,15,1,8,8,18,3,8,3,10,8,8,1,15,1,14,9,16,4,17,1,16,5,17,2,16,13,14,2,15,4,7,1,14,1,16,21,3,1,14,1,15,1,8,3,10,4,8,9,15,1,14,5,3,2,16,25,17,2,16,7,14,4,17,2,16,3,14,2,16,9,17,1,14,4,17,2,14,36,17,3,16,4,17,11,16,10,17,1,14,5,17,1,16,6,17,3,3,3,14,52,17,4,14,44,7,1,14,17,7,2,14,7,7,1,15,12,8,5,15,1,14,4,15,1,8,4,15,2,8,3,10,1,8,5,10,1,8,3,18,3,8,7,18,6,14,3,15,1,18,4,8,6,10,5,8,29,10,23,8,2,10,5,8,7,10,9,8,6,10,60,8,16,10,6,8,4,10,4,8,22,10,28,8,2,10,21,8,1,10,2,8,7,10,3,8,6,10,48,8,2,18,1,14,3,18,1,8,1,10,22,8,4,10,125,8,4,10,6,8,14,10,1,8,12,10,61,4,880,},
{4,787,19,2,4,2,18,2,9,1,10,1,8,2,15,1,14,3,15,2,14,4,15,1,14,3,3,1,14,3,3,3,14,6,15,2,14,1,16,94,6,1,17,1,16,9,17,3,14,3,16,12,17,5,16,23,17,3,16,6,17,3,16,6,17,2,16,3,17,1,14,4,16,3,3,1,14,5,15,1,8,3,14,2,3,1,14,6,8,1,10,3,8,1,15,1,14,3,17,1,16,12,17,1,14,17,15,2,14,12,3,3,14,4,15,1,8,2,10,3,8,2,18,4,8,4,10,6,8,2,15,1,14,8,16,3,17,4,16,18,14,2,15,4,14,1,17,1,16,21,14,1,15,1,8,2,18,2,8,1,10,2,8,6,10,1,8,3,18,1,15,1,14,4,3,2,16,24,17,1,14,4,17,1,16,5,17,1,14,1,17,2,14,1,16,3,14,2,16,9,17,2,14,2,17,2,16,1,17,1,16,1,17,3,14,31,17,2,16,3,17,6,16,17,14,5,17,2,16,7,17,1,16,3,3,2,14,51,17,4,14,43,7,3,14,16,7,4,14,2,7,1,14,1,7,1,15,9,8,9,15,1,14,4,15,1,8,4,15,2,18,1,8,13,18,3,8,5,18,2,15,1,18,2,8,2,18,3,8,10,10,6,8,16,10,3,8,10,10,30,8,7,10,9,8,6,10,61,8,10,10,1,8,3,10,15,8,13,10,2,8,7,10,17,8,3,10,11,8,2,10,21,8,7,10,5,8,4,10,48,8,2,18,1,14,3,8,2,10,22,8,2,10,61,8,4,10,54,8,2,10,6,8,4,10,6,8,13,10,3,8,3,10,3,8,5,10,61,4,880,},
{4,791,18,3,9,1,8,1,15,1,14,5,15,2,14,2,15,3,14,5,3,1,16,3,3,1,14,5,15,2,14,2,16,5,17,1,16,87,14,1,17,1,16,10,17,1,16,2,17,2,16,39,17,4,16,7,17,1,16,4,17,2,16,6,14,5,3,1,16,3,3,1,14,4,8,1,9,1,10,1,9,1,15,1,14,4,3,2,14,2,15,1,9,1,10,3,8,3,15,1,14,2,16,11,17,5,14,6,17,1,14,6,15,3,14,11,3,3,14,4,15,1,18,1,8,2,10,4,8,2,18,4,8,2,10,7,8,1,15,1,14,8,17,1,16,24,14,2,15,1,14,2,7,1,6,1,16,22,14,2,15,2,18,2,9,1,10,2,8,4,10,4,8,2,18,1,15,1,14,4,3,3,16,24,17,1,14,4,16,8,17,1,14,1,16,14,17,2,14,2,17,3,16,3,17,4,14,11,17,1,14,16,17,2,16,4,17,6,16,17,14,4,17,2,16,8,17,1,16,2,3,3,14,51,17,4,14,42,7,4,14,15,7,9,15,10,8,9,15,3,8,7,15,2,18,1,8,12,18,5,8,5,18,4,8,16,10,5,8,15,10,4,8,12,10,27,8,6,10,14,8,2,10,63,8,14,10,14,8,22,10,18,8,2,10,11,8,2,10,22,8,6,10,5,8,4,10,48,8,3,18,3,8,1,10,85,8,10,10,58,8,4,10,5,8,8,10,2,8,1,10,5,8,3,10,3,8,5,10,54,8,1,10,3,4,883,},
{4,793,18,2,8,1,15,1,14,5,15,7,14,5,16,5,3,1,14,4,15,3,14,1,16,5,14,1,16,22,17,1,16,64,17,3,16,9,17,1,16,27,17,2,16,13,17,5,16,11,17,1,14,2,16,5,14,3,15,1,14,3,16,3,3,1,14,4,15,1,9,1,10,2,8,1,15,1,14,2,3,1,16,3,14,2,15,1,8,1,10,6,8,1,14,1,17,1,16,10,17,3,16,2,17,1,14,4,17,1,16,1,17,1,14,6,15,2,14,11,3,3,14,4,15,1,18,1,8,2,10,5,8,3,18,1,15,1,18,1,8,2,10,6,8,1,15,1,14,8,16,25,14,6,17,1,16,22,14,5,18,1,10,2,8,5,10,4,8,2,18,1,15,1,14,4,3,3,16,25,14,4,17,1,16,7,17,1,14,1,16,16,17,5,16,3,17,4,14,10,17,1,16,4,14,13,17,2,16,4,17,7,16,15,17,1,14,3,17,2,16,5,17,3,16,3,3,3,14,5,3,1,14,63,17,1,14,43,7,13,15,15,8,2,15,3,8,17,18,2,8,9,18,5,8,10,10,3,8,27,10,8,8,10,10,26,8,4,10,9,8,3,10,71,8,13,10,13,8,22,10,31,8,2,10,23,8,4,10,6,8,5,10,46,8,8,10,85,8,12,10,56,8,4,10,7,8,5,10,9,8,2,10,4,8,4,10,55,8,1,10,2,4,884,},
{4,792,18,3,15,2,14,5,15,7,14,4,3,1,16,6,14,3,15,3,14,2,16,4,17,1,14,1,16,22,17,2,16,65,17,1,16,37,17,2,16,12,17,4,16,11,17,1,14,4,16,4,14,2,15,4,14,2,3,1,16,2,3,1,14,1,3,1,14,3,8,1,10,2,9,1,8,1,14,3,16,4,14,2,15,1,8,2,10,4,8,1,15,1,17,1,16,10,17,4,16,1,17,1,14,4,17,1,16,2,17,1,14,18,3,1,16,1,3,1,14,4,15,1,8,3,10,6,8,2,18,1,15,2,8,3,10,5,8,1,15,1,14,8,16,25,14,6,17,1,16,21,14,6,18,1,9,1,10,1,8,4,10,5,8,2,15,2,14,4,3,2,16,26,17,1,14,4,16,7,17,2,16,18,17,9,14,14,17,2,14,13,17,3,16,3,17,7,16,15,17,1,14,3,17,1,16,5,17,4,16,3,3,2,14,55,17,2,14,5,17,2,14,3,17,3,16,1,17,2,14,6,7,1,14,12,7,2,14,17,7,7,14,1,7,7,14,2,15,12,14,2,15,2,14,2,15,1,8,8,15,1,8,8,15,3,8,8,7,2,14,1,7,2,8,9,10,4,8,27,10,12,8,7,10,25,8,3,10,8,8,6,10,70,8,14,10,3,8,4,10,5,8,21,10,32,8,3,10,23,8,3,10,5,8,6,10,46,8,5,10,15,8,3,10,71,8,9,10,58,8,6,10,5,8,5,10,10,8,1,10,5,8,2,10,59,4,884,},
{4,792,18,4,15,1,14,4,15,8,14,4,16,8,14,2,15,3,14,2,16,5,14,2,16,21,17,3,16,102,17,2,16,11,17,1,14,2,17,1,16,12,17,1,14,4,16,4,14,1,15,1,8,1,9,1,8,2,14,2,3,1,16,1,3,1,14,1,3,2,16,2,14,1,15,1,9,1,10,2,8,1,15,1,14,2,16,5,3,1,14,2,15,1,9,1,10,3,8,1,15,1,14,1,16,10,17,1,14,2,17,3,14,4,16,4,14,18,3,3,14,3,15,1,8,4,10,7,8,2,15,2,18,1,8,2,10,5,8,1,15,1,14,7,17,1,16,4,17,3,16,18,14,4,15,2,14,1,16,20,17,1,14,5,15,1,8,1,9,1,10,1,8,4,10,3,8,4,15,1,14,5,3,2,16,28,17,1,14,2,16,29,17,2,14,35,17,12,16,2,17,5,16,6,17,1,14,5,17,1,16,6,17,4,16,2,14,50,17,1,14,7,17,6,16,1,17,2,14,2,17,1,16,4,17,2,14,2,17,1,14,2,7,2,14,11,7,3,14,16,7,15,14,2,15,9,14,10,15,1,8,5,15,4,8,6,7,4,8,8,7,2,14,2,7,1,8,9,10,3,8,28,10,13,8,16,10,25,8,7,10,71,8,21,10,4,8,21,10,33,8,2,10,23,8,4,10,3,8,7,10,45,8,4,10,7,8,2,10,7,8,5,10,71,8,5,10,50,8,2,10,10,8,7,10,3,8,6,10,28,8,2,10,43,18,2,4,885,},
{4,793,18,4,15,1,14,3,15,3,14,1,15,4,14,3,3,1,16,8,14,2,15,2,14,2,16,6,14,2,17,1,16,21,17,2,16,115,14,3,16,13,17,1,14,3,3,1,16,4,14,1,8,1,10,3,8,1,14,2,16,1,3,2,14,1,3,1,16,3,3,1,14,1,8,1,10,2,9,1,15,1,14,1,3,1,16,7,14,2,8,1,10,4,15,1,14,1,16,10,14,6,17,1,14,3,16,4,14,24,15,1,8,5,10,6,8,2,15,3,8,2,10,5,8,1,14,8,16,4,17,1,14,3,17,2,16,16,17,1,14,3,15,2,14,1,16,20,14,2,17,1,14,2,15,1,8,1,9,1,10,2,8,10,15,1,14,5,3,3,16,29,17,1,16,30,17,2,14,36,17,8,16,5,17,8,16,1,17,1,14,8,17,1,16,5,17,4,16,1,14,50,17,4,14,1,17,1,14,3,17,6,16,1,17,5,16,4,17,3,14,1,17,1,14,2,7,1,14,12,7,2,14,16,7,10,14,1,7,5,14,3,15,8,14,11,15,1,8,4,15,5,8,5,7,2,14,1,7,1,8,9,7,4,8,41,10,13,8,16,10,7,8,3,10,13,8,8,10,72,8,21,10,3,8,21,10,4,8,2,10,27,8,1,10,16,8,4,10,4,8,5,10,2,8,7,10,45,8,4,10,7,8,1,10,8,8,5,10,5,8,1,10,114,8,2,10,3,8,10,10,4,8,6,10,1,8,9,10,26,8,6,10,39,4,888,},
{4,794,18,3,15,1,14,8,15,4,14,2,3,2,16,8,14,5,16,6,14,3,16,21,17,2,16,64,17,1,16,50,17,1,14,1,17,1,16,13,17,3,16,5,14,1,15,1,9,1,10,3,8,1,14,2,16,2,3,1,14,1,3,1,16,4,14,1,8,1,10,2,9,1,15,1,14,1,3,4,16,5,14,1,15,1,8,1,10,2,9,1,15,1,14,1,16,9,17,1,14,1,7,1,14,3,17,1,16,1,17,1,14,2,16,4,14,21,3,1,16,1,14,1,15,1,8,2,15,1,8,10,15,2,14,1,15,1,8,2,10,4,8,1,14,7,17,1,16,4,17,1,14,5,17,1,16,15,17,1,14,2,15,2,8,1,14,1,16,23,14,2,15,1,9,1,10,2,9,1,8,9,18,1,15,1,14,3,3,4,16,61,17,7,14,13,17,1,16,3,14,14,17,6,16,9,17,2,14,15,17,4,16,2,17,4,14,50,17,6,14,3,17,21,14,2,7,1,14,12,7,2,14,16,7,8,14,4,7,4,14,3,15,2,8,1,15,5,14,12,15,2,8,1,15,6,7,1,15,1,8,3,7,1,14,2,7,1,8,62,10,5,8,16,10,6,8,4,10,14,8,6,10,73,8,14,18,3,8,4,10,3,8,13,10,1,8,14,10,42,8,24,10,43,8,5,10,3,8,2,10,11,8,5,10,4,8,2,10,113,8,3,10,3,8,11,10,3,8,5,10,2,8,11,10,24,8,7,10,37,4,889,},
{4,794,18,4,15,1,14,6,15,2,8,2,15,2,14,5,3,1,16,5,14,5,16,6,17,1,14,2,16,20,17,1,14,2,3,1,16,62,17,1,14,1,17,1,16,25,17,1,16,24,17,3,16,19,17,1,14,1,8,1,10,4,8,1,14,2,3,1,16,2,3,2,16,3,3,1,14,1,8,1,10,2,8,1,14,2,16,1,14,5,17,1,16,2,17,1,14,1,15,1,9,2,8,1,15,1,14,1,16,9,14,1,7,2,14,1,6,1,17,1,16,2,14,3,16,4,14,9,17,1,14,11,3,1,16,1,14,2,15,4,14,3,15,7,14,3,15,1,8,1,10,4,8,1,14,7,17,1,16,4,17,1,14,6,17,1,16,14,17,1,14,2,15,2,8,1,14,1,16,23,3,1,14,1,15,1,10,9,8,4,18,1,15,1,14,5,3,3,16,59,17,6,16,4,17,8,14,1,16,8,14,13,17,4,16,11,17,2,14,1,17,2,14,14,17,1,16,3,17,1,14,63,17,16,14,17,7,3,14,15,7,10,14,3,7,4,14,2,15,2,8,3,15,4,14,13,15,2,8,3,15,2,7,10,8,65,10,1,8,18,10,5,8,4,10,15,8,4,10,74,8,20,10,3,8,29,10,42,8,15,10,1,8,7,10,44,8,4,10,2,8,5,10,10,8,5,10,3,8,3,10,60,8,4,10,49,8,3,10,3,8,11,10,3,8,5,10,3,8,14,10,21,8,6,10,36,4,890,},
{4,794,18,1,3,1,18,2,15,1,14,6,15,2,8,3,15,2,14,5,16,6,14,7,16,3,17,2,16,9,17,1,16,11,3,5,16,39,17,2,16,2,17,1,16,9,17,1,16,7,14,2,17,1,16,6,17,2,16,17,17,2,16,24,17,1,16,18,14,3,15,1,8,1,10,4,8,1,15,1,14,2,3,1,16,1,3,3,16,2,3,1,14,1,15,1,9,2,8,1,14,2,16,1,14,6,17,1,16,2,14,2,15,1,8,1,15,1,14,2,16,8,17,1,14,1,7,2,14,1,17,2,16,1,17,1,14,3,17,1,16,3,17,1,14,8,17,1,14,11,17,1,16,2,14,19,15,1,8,1,10,3,8,1,15,1,14,2,3,1,14,3,17,1,16,4,17,1,14,6,17,1,16,15,14,3,15,2,14,1,16,23,3,1,14,1,8,1,10,10,8,3,18,1,15,1,14,6,3,1,14,1,17,1,16,51,17,1,16,6,17,2,16,12,17,4,16,9,14,13,17,3,16,14,17,6,14,11,17,1,16,3,17,1,14,64,17,3,14,2,17,4,14,13,17,3,14,8,7,2,14,13,7,11,14,4,7,4,14,2,15,2,8,3,15,5,14,13,8,4,18,1,14,3,7,8,8,93,10,7,8,2,10,8,8,2,10,74,8,10,10,2,8,8,10,3,8,29,10,7,8,1,10,35,8,14,10,2,8,6,10,44,8,3,10,3,8,4,10,12,8,3,10,3,8,3,10,61,8,4,10,48,8,4,10,4,8,9,10,5,8,4,10,5,8,12,10,22,8,5,10,36,4,890,},
{4,794,18,4,15,1,14,5,15,5,8,3,15,3,14,2,16,6,14,7,16,2,17,1,16,10,14,2,16,15,3,3,16,36,17,3,16,2,17,1,16,9,17,1,16,6,17,1,14,2,16,5,17,2,14,2,16,17,17,1,16,44,14,2,8,2,10,5,9,1,8,1,15,1,14,2,16,1,3,4,16,1,3,1,14,1,15,1,8,1,9,1,8,1,15,1,14,1,3,1,14,7,16,2,17,1,14,2,15,1,14,2,17,1,16,8,17,1,14,2,7,1,14,1,17,1,16,1,17,1,14,4,17,1,16,4,17,2,14,6,17,1,14,7,15,2,14,2,16,3,14,19,15,1,8,1,10,3,8,1,15,1,14,3,3,1,14,2,16,5,17,1,14,6,17,1,16,15,14,3,15,2,14,1,16,23,3,1,14,1,15,1,10,10,8,4,18,1,15,1,14,7,3,1,16,27,14,2,17,1,16,20,17,4,16,4,17,1,14,1,16,9,17,1,16,1,17,5,16,10,17,1,14,10,17,3,16,15,17,6,14,11,17,1,16,4,14,64,17,3,14,2,17,4,14,6,17,1,14,4,6,1,17,4,14,22,7,20,14,2,15,10,14,13,8,4,18,1,14,4,7,2,14,3,7,3,8,1,7,3,8,8,7,3,8,77,10,4,8,5,10,8,8,1,10,74,8,11,10,3,8,7,10,3,8,29,10,44,8,13,10,52,8,2,10,4,8,4,10,17,8,4,10,30,8,1,10,30,8,3,10,11,8,2,10,36,8,4,10,5,8,4,10,1,8,2,10,6,8,4,10,6,8,4,10,12,8,3,10,15,8,3,10,37,4,890,},
{4,795,18,2,15,2,14,5,15,2,14,3,15,2,8,2,15,3,14,5,16,3,14,3,15,2,14,1,17,1,16,1,17,1,16,9,17,1,14,2,16,14,3,2,14,1,15,1,3,1,16,35,17,3,16,1,17,3,16,15,17,1,14,1,17,1,16,5,17,1,14,3,16,17,17,2,16,10,17,3,16,22,17,2,16,5,3,1,14,1,15,1,8,1,10,6,9,1,8,2,15,1,14,1,3,1,14,2,3,4,14,2,15,1,8,2,15,1,14,3,3,1,14,6,16,2,17,1,14,4,17,1,16,9,17,1,14,2,6,1,17,1,16,1,17,1,14,2,15,1,14,2,16,6,17,1,14,4,17,1,16,2,17,1,14,5,15,2,14,2,3,1,16,2,3,1,14,5,3,3,14,8,3,1,14,2,15,1,8,1,9,2,8,1,15,1,14,3,3,1,17,3,16,5,17,8,16,14,17,1,14,3,15,1,14,1,16,23,14,2,15,1,10,11,8,4,15,2,14,7,16,26,17,1,14,3,17,1,16,20,17,3,16,4,17,1,14,1,17,1,16,8,17,4,14,1,17,2,14,1,16,14,17,1,14,4,17,4,16,15,17,6,14,3,17,2,14,7,16,4,17,1,14,59,17,7,14,2,17,4,14,6,17,1,14,4,17,7,14,8,7,3,14,8,7,6,14,2,7,12,14,4,15,9,14,12,15,1,8,5,14,4,7,3,14,1,7,9,8,7,7,4,8,55,10,1,8,15,18,1,8,14,10,81,8,12,10,3,8,7,10,3,8,29,10,45,8,12,10,59,8,3,10,17,8,4,10,30,8,2,10,41,8,4,10,37,8,2,10,7,8,2,10,11,8,2,10,22,8,4,10,55,4,890,},
{4,795,18,2,14,1,15,2,14,4,15,1,14,5,15,6,14,6,16,2,14,2,15,3,14,1,16,2,17,1,16,9,14,3,16,13,3,3,14,1,18,1,14,1,16,39,17,2,14,1,6,1,16,14,17,1,16,7,14,4,16,17,17,2,16,5,17,5,14,2,17,1,16,21,17,1,14,2,16,6,14,1,15,1,8,2,10,1,9,1,10,3,8,3,15,1,14,5,3,3,14,3,15,4,14,10,16,1,14,6,17,1,16,8,17,1,6,2,17,3,6,1,14,1,15,2,14,2,16,7,14,4,16,5,17,1,14,3,15,3,14,2,16,3,14,19,15,1,8,4,15,1,14,3,17,3,14,1,17,1,16,2,17,4,16,1,17,5,16,14,17,1,14,4,3,1,16,23,3,1,14,1,15,1,10,13,8,2,18,1,15,1,14,7,17,1,16,25,17,1,14,4,16,9,17,1,16,10,17,3,16,5,17,3,16,7,17,2,14,7,17,1,16,13,17,1,14,2,17,4,16,16,17,6,14,3,17,2,14,7,17,1,16,3,17,2,14,49,17,3,14,5,17,14,14,11,6,1,17,7,14,7,7,6,14,5,7,6,14,4,7,10,14,5,15,5,14,1,15,1,14,13,15,1,8,5,15,1,14,1,7,26,8,4,7,1,8,50,10,4,8,21,18,3,8,4,10,80,8,12,10,4,8,7,10,2,8,28,10,11,8,2,10,34,8,11,10,59,8,3,10,17,8,3,10,31,8,1,10,42,8,3,10,48,8,1,10,35,8,3,10,55,8,1,18,1,4,889,},
{4,796,18,4,14,7,3,2,14,4,15,4,14,9,15,3,14,2,16,1,17,1,16,8,14,3,16,12,3,4,18,2,9,1,18,1,3,1,16,36,17,2,14,5,17,1,16,18,17,2,14,1,15,2,14,1,17,1,16,16,17,1,16,6,17,4,14,4,16,12,17,1,16,8,14,3,17,1,16,5,14,2,15,5,8,4,15,1,14,13,15,3,14,10,16,1,17,1,14,6,16,9,17,2,16,2,17,1,6,1,14,1,15,1,14,3,16,7,17,1,14,1,16,9,14,3,15,2,14,2,16,3,14,6,3,2,14,12,15,2,8,1,15,1,14,9,17,6,16,2,17,3,16,15,17,1,14,3,15,1,14,1,3,1,16,22,3,1,14,1,15,1,10,13,8,2,18,1,15,1,14,4,3,1,14,1,3,1,16,27,14,4,16,20,17,3,16,15,17,3,14,4,3,1,16,15,17,9,16,19,17,1,14,3,17,2,14,7,17,3,16,3,17,1,14,48,17,3,14,5,17,11,6,1,14,11,6,1,14,3,17,6,14,7,7,7,14,4,7,6,14,3,7,4,8,5,7,3,14,4,15,3,14,3,15,4,14,9,15,1,8,8,7,27,8,79,18,3,8,6,10,79,8,11,10,5,8,36,10,11,8,3,10,35,8,12,10,57,8,2,10,17,8,3,10,125,8,1,10,24,8,5,10,6,8,2,10,6,8,1,10,47,8,2,9,1,18,1,4,889,},
{4,793,19,2,4,1,18,4,14,7,3,3,14,4,15,1,8,1,15,3,14,7,15,3,14,2,17,1,16,8,14,3,17,1,16,11,3,2,18,5,4,2,18,1,14,1,16,34,17,2,14,2,15,4,14,1,16,17,17,2,16,1,14,2,15,1,14,1,17,1,16,16,17,2,16,5,17,4,14,4,16,11,17,1,14,2,16,7,14,3,17,1,16,6,3,1,14,6,15,3,14,26,17,1,16,2,14,2,15,2,14,2,16,8,17,3,16,3,17,1,14,4,17,1,16,18,17,1,14,2,15,2,14,2,16,4,3,1,14,2,3,1,16,2,3,1,14,13,15,3,14,9,17,2,14,2,17,7,16,15,17,1,14,3,15,1,14,1,3,1,16,22,3,1,14,1,15,1,10,13,8,2,18,1,15,1,14,2,3,3,14,1,17,1,16,28,14,3,16,39,17,3,14,2,17,1,16,5,17,1,14,6,17,1,16,4,17,10,16,18,14,3,17,2,14,8,17,1,16,5,14,47,17,4,14,6,17,9,6,1,14,18,17,4,14,2,7,3,14,2,7,8,14,3,7,6,14,3,7,3,8,6,7,3,14,4,15,13,14,6,15,1,8,8,7,9,8,1,7,5,8,3,7,5,8,5,7,1,8,87,10,79,8,9,10,7,8,36,10,10,8,3,10,35,8,12,10,29,8,2,10,26,8,3,10,16,8,3,10,44,8,3,10,78,8,2,10,18,8,10,10,6,8,2,10,6,8,2,10,42,4,1,10,1,4,1,10,1,18,1,10,2,18,1,4,889,},
{4,792,19,4,4,1,18,1,4,1,18,1,14,2,16,3,14,9,15,4,14,8,15,2,14,3,17,1,16,2,17,1,16,5,17,3,16,11,3,2,18,1,4,9,18,1,3,1,16,31,17,1,14,4,15,1,8,2,15,1,14,1,16,17,17,2,16,1,17,1,14,3,17,1,16,15,17,3,16,5,17,4,14,4,16,11,14,3,17,1,16,6,14,4,17,1,16,10,14,6,16,1,3,3,14,13,15,2,14,6,16,3,14,3,15,1,14,2,16,14,17,1,14,4,17,1,16,19,14,3,15,1,14,3,16,3,17,3,16,4,17,1,14,19,17,2,14,1,17,4,14,4,17,1,16,2,17,1,16,17,17,1,14,2,15,1,14,1,3,1,16,22,3,1,14,1,8,1,10,13,8,2,15,1,14,3,3,4,16,30,17,1,16,42,17,2,14,1,17,1,16,6,14,6,17,2,16,5,17,1,16,5,17,1,16,19,17,1,14,2,17,1,16,1,17,3,14,6,17,2,16,2,17,1,14,48,17,2,14,7,17,5,14,1,17,3,14,19,17,4,14,7,7,23,8,6,7,3,14,3,15,9,8,2,15,2,8,1,15,1,14,4,15,1,8,9,7,8,8,2,7,5,8,3,7,5,8,68,10,1,8,3,10,3,8,18,10,79,8,4,10,2,8,4,10,6,8,36,10,9,8,3,10,38,8,11,10,28,8,3,10,26,8,3,10,15,8,3,10,43,8,4,10,21,8,3,10,23,8,3,10,27,8,4,10,6,8,2,10,7,8,12,10,14,8,5,10,38,4,898,},
{4,792,19,4,4,2,18,1,3,1,14,2,16,3,17,1,14,12,3,6,14,5,17,1,16,2,17,2,16,19,3,2,18,1,4,7,19,2,4,2,18,1,3,1,16,28,14,1,16,1,14,6,15,2,14,1,16,22,17,1,14,3,17,1,16,14,14,2,6,1,16,5,17,2,14,6,16,11,14,4,16,6,17,2,14,3,16,10,17,1,14,3,17,1,16,4,14,14,8,3,15,1,14,3,17,1,16,3,17,1,14,4,17,1,16,14,17,1,6,1,17,2,16,1,17,1,16,20,14,2,15,2,14,4,17,4,16,6,17,1,14,17,16,4,17,3,14,4,17,1,16,21,17,1,14,1,15,1,14,1,3,1,16,22,14,1,15,1,8,1,10,12,8,2,18,1,15,1,14,3,3,1,14,1,3,2,16,74,17,1,14,3,17,1,16,4,17,1,14,3,17,2,16,6,17,3,16,18,17,3,16,4,17,3,16,5,14,6,17,1,3,1,14,51,17,1,14,6,17,5,14,25,17,5,14,5,7,24,8,3,7,6,14,2,7,12,8,2,7,1,14,3,7,2,8,9,7,1,14,1,7,1,14,2,7,2,8,3,7,7,8,1,7,2,15,5,8,66,10,5,8,5,18,3,8,8,18,3,8,2,10,77,8,4,10,3,8,4,10,6,8,33,10,12,8,2,10,39,8,12,10,26,8,8,10,21,8,3,10,17,8,2,10,43,8,4,10,20,8,4,10,21,8,5,10,26,8,5,10,6,8,4,10,4,8,13,10,9,8,1,10,1,8,8,10,38,4,898,},
{4,792,19,5,4,1,18,1,3,2,14,1,16,4,14,4,17,1,14,6,3,1,16,4,3,3,14,3,17,1,16,3,17,1,16,18,3,3,18,1,4,7,19,5,4,1,18,1,3,1,16,27,3,2,14,9,16,23,17,1,14,2,17,1,16,14,14,2,17,1,16,4,17,1,14,7,17,1,16,11,14,4,16,8,17,1,14,1,6,1,16,10,17,2,14,1,17,1,16,1,17,1,14,1,17,1,14,13,3,1,14,1,8,3,15,2,14,2,16,5,17,2,14,2,17,3,16,12,17,3,16,2,17,2,16,19,14,3,15,3,14,2,17,2,16,9,17,1,14,7,17,2,14,6,17,1,16,4,17,1,16,3,17,3,16,2,17,2,16,19,14,3,3,1,16,21,17,1,14,1,8,1,10,12,8,2,18,1,15,1,14,6,3,1,16,76,17,1,14,3,17,1,16,4,17,4,16,7,17,3,16,18,17,4,16,5,17,1,16,5,14,65,17,6,14,26,17,6,14,3,7,18,8,2,7,4,8,3,7,1,14,2,7,3,14,1,7,14,8,1,7,1,14,4,8,3,10,3,8,3,7,3,14,3,7,2,8,3,7,1,15,13,18,2,8,39,10,9,8,15,10,7,8,5,18,4,8,2,10,3,8,3,18,3,8,1,10,76,8,5,10,3,8,5,10,3,8,34,10,13,8,2,10,40,8,12,10,23,8,10,10,21,8,3,10,18,8,1,10,42,8,5,10,21,8,3,10,20,8,6,10,26,8,5,10,6,8,5,10,4,8,1,10,4,8,8,10,7,8,12,10,36,4,899,},
{4,792,19,6,4,1,18,1,3,1,14,1,16,3,17,1,14,11,3,1,16,5,3,2,14,3,17,1,16,22,3,3,18,1,4,7,19,5,4,2,18,1,3,1,16,27,3,1,14,2,15,2,14,4,16,24,14,3,17,1,16,14,17,2,16,4,17,1,14,8,16,12,14,3,17,1,16,8,17,3,16,11,17,1,14,2,17,1,14,16,3,1,14,1,15,1,8,2,15,1,14,3,16,6,17,5,16,13,17,2,14,1,17,1,6,1,14,2,16,19,14,8,17,1,16,10,17,1,14,6,17,1,16,2,14,6,17,1,16,3,17,2,16,8,17,2,16,19,14,3,3,1,16,21,14,1,15,1,8,1,10,11,9,1,8,1,18,2,15,1,14,7,16,76,17,1,14,3,17,1,16,5,17,2,16,6,17,5,16,18,17,3,16,7,17,1,16,3,17,1,14,6,3,2,14,57,17,6,14,26,17,5,14,6,7,12,8,2,7,3,8,1,7,4,8,2,7,2,14,2,7,18,8,1,7,1,14,4,8,2,10,4,8,2,14,2,7,3,14,2,7,3,15,1,7,2,15,4,8,1,15,9,18,1,8,35,10,18,8,8,10,11,8,4,18,2,8,3,10,4,8,2,18,3,8,2,10,75,8,5,10,3,8,5,10,3,8,34,10,55,8,12,10,25,8,7,10,21,8,4,10,63,8,3,10,13,8,1,10,30,8,5,10,27,8,6,10,5,8,5,10,10,8,8,10,4,8,13,10,36,4,900,},
{4,793,19,5,4,1,18,1,3,1,14,1,17,1,16,2,14,13,3,1,16,5,3,3,17,2,16,7,17,1,16,14,3,2,18,1,4,8,19,6,4,2,18,1,16,28,14,1,15,3,14,3,17,1,16,23,17,1,14,3,16,4,17,1,16,16,17,1,14,8,16,12,14,3,16,10,17,2,16,11,14,5,15,1,8,2,15,1,14,11,3,1,14,2,15,3,14,3,16,6,17,1,16,2,17,1,16,14,17,1,6,1,14,3,7,1,14,1,17,1,16,18,17,1,14,6,17,1,16,12,17,2,14,3,16,4,14,5,17,1,16,4,17,1,16,9,17,2,16,19,17,1,14,2,3,1,16,21,14,1,15,1,8,1,10,10,8,2,18,2,15,1,14,7,3,1,16,76,17,2,14,2,17,1,16,13,17,2,16,23,17,1,16,7,17,3,14,8,3,1,17,1,16,1,14,56,17,6,14,28,17,2,14,8,7,11,8,2,7,3,8,1,7,8,14,5,7,17,14,4,8,2,10,3,8,2,14,3,7,4,14,1,7,7,15,2,8,2,15,1,7,2,15,6,18,1,8,34,10,21,8,1,10,17,8,7,10,6,8,1,18,3,8,2,10,75,8,5,10,3,8,5,10,2,8,6,10,3,8,26,10,55,8,12,10,26,8,4,10,23,8,4,10,64,8,2,10,42,8,6,10,28,8,7,10,3,8,6,10,9,8,1,10,3,8,17,10,41,4,900,},
{4,794,19,4,4,1,18,2,14,17,3,2,16,15,14,2,17,1,16,13,3,2,4,2,19,3,4,4,19,8,4,1,3,1,16,27,14,1,15,1,8,1,15,1,14,2,16,25,17,1,14,3,16,4,17,2,16,16,17,1,14,1,17,1,14,4,17,1,16,12,17,1,14,1,16,23,17,1,14,2,15,3,8,1,10,1,8,1,15,1,14,2,3,1,14,8,3,1,14,3,15,2,14,2,17,1,16,5,17,2,16,17,17,2,14,2,7,2,14,1,17,1,16,18,17,1,14,6,17,1,16,15,17,1,16,5,14,4,17,1,16,15,17,3,16,18,17,1,14,2,3,1,16,20,17,1,14,1,8,2,10,10,8,1,18,1,15,2,14,8,3,1,16,77,17,1,14,2,17,2,16,12,17,2,16,5,17,2,16,15,17,3,16,6,17,2,14,10,16,2,17,1,14,55,17,6,14,39,7,5,14,2,7,3,8,1,7,5,8,2,7,7,14,4,7,2,14,1,7,9,14,9,7,1,8,5,14,4,7,12,15,2,8,2,15,8,18,1,8,35,10,40,8,5,10,7,8,2,18,3,8,1,10,74,8,7,10,1,8,6,10,2,8,6,10,4,8,25,10,56,8,11,10,26,8,3,10,25,8,2,10,65,8,1,10,43,8,5,10,29,8,9,10,1,8,6,10,6,8,24,10,41,4,900,},
{4,794,19,4,4,1,18,2,14,19,3,2,16,13,14,3,16,13,3,1,18,1,4,1,19,4,4,4,19,3,4,1,19,4,4,2,3,1,16,11,3,3,16,13,14,1,15,2,14,1,16,26,17,1,14,2,17,1,16,5,6,1,17,1,16,19,17,2,16,7,14,4,17,1,16,27,17,1,14,2,15,1,8,2,10,2,8,1,15,1,14,5,3,4,14,9,17,1,16,6,17,2,16,17,17,2,14,2,7,2,14,1,17,1,16,18,17,1,14,4,17,2,16,21,17,1,14,4,16,16,17,3,16,19,14,1,15,1,14,1,16,20,14,1,15,1,8,1,10,11,8,1,18,1,15,1,14,9,3,1,16,77,17,2,14,3,17,1,16,11,17,2,16,5,17,1,16,12,17,1,16,3,17,5,16,5,17,1,14,4,16,2,14,4,17,1,16,2,14,27,15,2,14,27,17,5,14,33,7,1,14,10,7,11,8,3,7,6,14,4,7,1,14,4,7,7,14,5,7,1,14,4,7,1,8,2,7,1,14,4,7,4,14,3,7,6,15,13,8,36,10,4,8,1,10,35,8,2,10,9,8,2,18,3,8,2,10,73,8,22,10,3,8,17,10,1,8,8,10,56,8,11,10,27,8,1,10,31,8,1,10,46,8,1,10,58,8,5,10,30,8,8,10,11,8,26,10,40,4,901,},
{4,794,19,4,4,1,18,1,14,21,3,1,16,5,17,1,14,1,16,6,17,1,14,2,16,13,3,1,18,1,4,1,19,4,4,8,19,5,4,2,3,1,16,9,3,1,18,3,3,1,16,12,14,3,17,1,16,27,14,2,17,1,16,5,17,2,16,27,14,6,16,28,17,1,14,2,8,2,9,1,10,1,8,1,15,1,14,5,16,3,3,1,14,8,17,1,16,7,17,1,14,1,17,1,16,17,17,2,14,2,7,1,14,1,17,1,16,17,17,1,14,4,17,2,16,22,14,4,17,1,16,16,17,5,16,17,14,1,15,1,14,1,16,20,14,1,15,1,8,1,10,11,8,1,18,1,15,2,14,8,17,1,16,77,17,3,14,3,17,1,16,6,17,1,16,22,17,3,16,2,17,2,14,2,17,1,16,5,17,1,14,3,17,1,16,3,14,4,16,2,14,27,15,2,14,27,17,4,14,34,7,2,14,9,7,6,14,1,7,4,8,4,7,2,8,3,14,4,7,1,14,5,7,6,14,5,7,2,14,4,7,2,14,4,8,2,7,1,14,4,7,8,15,2,7,1,15,1,7,2,15,5,18,1,8,7,18,2,8,10,10,1,8,1,10,1,8,24,10,30,8,1,10,10,8,2,18,2,8,2,10,69,8,3,10,1,8,16,10,3,8,24,10,2,8,7,10,56,8,11,10,58,8,2,10,46,8,2,10,5,8,2,10,51,8,3,10,1,8,1,10,29,8,2,10,2,8,1,10,12,8,28,10,30,8,3,10,6,4,902,},
{4,795,19,2,4,2,3,2,14,17,15,3,14,1,3,1,16,3,14,3,16,7,17,1,16,13,3,2,4,2,19,4,4,8,19,6,4,2,3,1,16,7,3,1,18,1,4,3,18,1,3,1,16,12,14,1,17,1,16,28,17,1,14,1,16,34,14,2,15,3,14,2,16,29,14,2,15,2,8,3,15,1,14,5,16,4,14,8,16,9,17,6,16,14,17,2,14,3,17,1,16,17,17,1,14,4,17,2,16,22,14,1,15,2,14,1,17,1,16,15,17,3,16,1,17,1,14,1,17,1,16,16,14,1,15,1,14,1,16,20,17,1,14,1,8,1,10,10,9,1,8,1,18,1,15,2,14,8,16,80,17,1,14,3,17,1,16,5,17,3,16,21,17,2,16,4,17,1,14,3,17,1,16,4,17,1,14,3,16,4,14,4,16,3,3,1,14,54,17,3,14,34,7,3,14,8,7,2,8,1,7,3,14,5,7,2,8,3,7,1,8,4,14,11,7,5,14,5,7,2,14,4,7,1,8,1,7,1,14,3,8,2,14,5,7,4,8,2,7,1,15,5,8,1,15,5,18,1,8,8,18,3,8,38,10,39,8,3,18,1,8,2,10,70,8,2,10,1,8,17,10,3,8,11,10,2,8,19,10,42,8,2,10,12,8,2,10,2,8,9,10,56,8,3,10,45,8,1,10,6,8,2,10,51,8,6,10,11,8,2,10,11,8,6,10,15,8,29,10,29,8,4,10,5,4,902,},
{4,798,18,1,3,2,14,18,15,2,14,1,3,1,16,2,14,1,15,1,8,1,15,1,16,20,3,3,4,1,19,5,4,9,19,6,4,2,3,2,16,4,3,2,4,5,3,1,16,77,14,2,15,4,14,2,16,29,17,1,14,3,15,1,8,2,15,1,14,5,16,4,14,2,3,1,17,3,14,1,17,1,16,9,17,2,14,5,17,1,16,13,17,2,14,1,6,1,17,1,16,17,17,1,14,4,17,2,16,21,17,1,14,1,15,1,14,2,17,1,16,7,17,4,16,3,17,1,14,1,17,2,16,1,17,1,14,1,17,1,16,16,14,1,15,1,14,1,16,21,14,1,15,1,8,1,10,9,9,1,8,2,15,2,14,7,3,1,16,45,17,2,16,34,17,1,14,2,17,1,16,5,17,3,16,28,17,3,16,5,17,1,14,3,16,5,14,3,16,5,14,53,17,3,14,9,7,3,14,23,7,2,14,8,7,2,8,2,7,2,14,6,7,1,8,8,7,1,14,10,7,5,14,5,7,2,14,4,8,3,7,1,14,2,7,2,14,5,7,5,8,2,15,2,14,1,15,2,8,3,15,3,8,9,18,1,15,1,18,1,8,38,10,23,8,1,10,15,8,2,18,1,8,2,10,75,8,16,10,3,8,11,10,2,8,19,10,40,8,6,10,15,8,9,10,24,8,1,10,29,8,4,10,53,8,1,10,43,8,4,10,4,8,7,10,9,8,3,10,5,8,12,10,23,8,4,10,4,8,13,10,29,8,5,10,4,4,902,},
{4,798,3,4,14,8,15,4,14,8,3,3,14,1,8,3,16,13,17,1,16,6,3,2,18,1,4,2,19,3,4,12,19,6,4,1,18,1,3,4,18,1,4,7,18,1,3,1,16,44,17,1,16,30,14,1,15,4,14,2,17,1,16,30,14,4,15,3,14,1,15,1,14,3,16,3,14,3,3,1,16,2,17,2,16,11,17,1,14,2,15,1,7,1,14,2,16,14,17,4,16,18,17,2,14,1,17,3,16,21,14,5,16,8,17,6,14,4,17,3,14,1,17,1,16,16,14,1,15,1,14,1,16,22,14,1,15,1,8,1,10,8,9,1,8,2,15,2,14,7,3,1,16,45,17,2,16,35,17,3,16,5,17,3,16,36,14,4,16,6,17,1,16,6,3,1,14,15,15,2,14,34,17,4,14,8,7,2,15,1,7,1,14,23,7,1,14,9,7,3,8,1,7,3,14,5,7,2,8,7,7,1,14,11,7,4,14,5,7,2,14,3,7,1,8,4,7,1,14,9,7,6,15,4,8,3,15,2,18,1,8,10,18,3,8,39,10,37,8,2,18,2,8,2,10,75,8,16,10,2,8,4,10,4,8,4,10,1,8,20,10,39,8,8,10,14,8,10,10,22,8,2,10,28,8,5,10,97,8,15,10,8,8,5,10,2,8,14,10,3,8,1,10,20,8,4,10,4,8,12,10,30,8,3,10,4,4,903,},
{4,798,3,3,14,9,15,4,14,7,3,3,14,1,15,1,8,2,15,1,16,12,14,2,17,1,16,5,3,2,4,19,19,5,4,16,3,1,16,42,17,1,14,2,6,1,16,28,17,1,14,1,15,2,14,2,17,1,16,10,17,1,16,8,17,2,16,9,14,6,15,1,14,6,3,2,14,5,16,15,14,3,15,3,14,2,16,13,17,4,16,20,17,4,16,21,14,4,17,1,16,13,17,1,14,5,17,4,16,16,14,2,15,1,14,1,16,21,17,1,14,1,8,1,10,9,8,2,15,2,14,7,17,1,16,29,17,2,16,14,17,1,16,37,17,2,16,43,14,6,16,12,3,1,14,15,15,2,14,26,3,1,16,2,17,1,14,1,17,7,14,7,7,2,15,2,7,1,14,31,7,10,14,4,7,3,8,6,7,1,14,11,7,5,14,5,7,1,14,3,7,1,8,4,7,1,14,12,7,3,15,4,8,4,18,2,8,54,10,2,8,1,10,32,8,2,18,2,8,2,10,75,8,21,10,6,8,23,10,41,8,7,10,15,8,9,10,22,8,2,10,27,8,7,10,97,8,10,18,2,8,2,10,8,8,5,10,2,8,14,10,3,8,3,10,17,8,6,10,3,8,13,10,33,4,906,},
{4,798,3,3,14,8,15,4,14,9,3,3,14,1,15,1,8,1,15,1,16,12,14,2,17,1,16,5,3,1,18,1,4,19,19,6,4,16,3,1,16,41,17,1,7,1,15,1,14,1,16,28,17,1,14,1,15,1,14,2,17,1,16,9,14,4,17,1,16,5,17,1,14,2,16,8,17,1,14,20,3,1,16,14,14,4,15,3,14,2,16,13,17,3,16,8,17,2,16,36,17,1,14,1,17,1,16,14,17,1,14,5,17,3,16,16,17,1,14,1,15,2,14,1,16,22,14,1,15,1,8,3,10,5,9,1,8,2,15,1,14,9,16,29,14,2,16,45,17,3,16,49,14,7,16,10,3,2,14,15,15,3,14,25,3,1,16,2,17,1,14,1,17,7,14,7,7,2,15,1,7,2,14,10,7,1,14,17,7,10,8,2,7,1,14,4,7,4,8,5,7,1,14,12,7,5,14,4,7,2,14,3,7,1,8,4,7,2,14,11,7,2,8,8,18,1,8,16,18,6,8,37,10,29,8,3,18,3,8,2,10,75,8,21,10,7,8,4,10,2,8,15,10,43,8,1,10,2,8,3,10,20,8,3,10,23,8,2,10,27,8,8,10,96,8,10,18,2,8,2,10,8,8,5,10,2,8,14,10,3,8,3,10,17,8,7,10,2,8,13,10,33,4,906,},
{4,798,3,4,14,7,15,3,14,10,3,3,14,2,15,1,14,1,16,12,17,2,16,6,3,1,18,1,4,41,18,1,3,1,16,41,14,3,16,28,17,1,14,4,16,9,14,6,17,1,16,3,17,1,14,2,17,1,16,9,17,1,14,20,17,1,16,3,17,1,16,9,17,1,14,4,15,2,14,2,17,1,16,22,17,1,14,1,17,1,16,54,17,1,14,2,17,3,16,18,17,1,14,1,15,1,8,1,7,1,16,23,14,1,15,1,8,3,9,1,10,2,9,1,8,2,15,2,14,8,17,1,16,29,14,2,16,45,14,3,17,1,16,47,17,1,14,7,17,1,16,6,17,1,3,1,14,54,17,4,14,6,7,6,14,28,7,1,15,9,8,2,15,1,14,5,15,8,14,15,7,3,14,4,7,3,14,3,7,1,8,4,7,1,14,11,7,2,8,6,15,5,8,14,18,6,8,38,10,28,8,3,18,2,8,2,10,76,8,21,10,6,8,5,10,3,8,7,10,3,8,3,10,48,8,2,10,75,8,10,10,89,8,1,10,5,8,9,18,1,8,3,10,8,8,5,10,2,8,13,10,5,8,2,10,16,8,22,10,34,4,906,},
{4,799,3,3,14,21,3,2,14,2,15,2,16,20,3,1,4,43,3,1,16,42,17,1,16,29,14,2,15,2,14,1,17,1,16,7,17,1,14,6,17,1,16,3,14,2,17,1,16,11,14,2,17,1,14,4,3,4,14,10,16,3,14,1,16,10,17,1,14,7,17,1,16,22,17,3,16,78,14,2,7,1,8,1,7,1,16,23,14,2,15,1,8,8,15,2,14,8,17,1,16,29,17,1,6,1,17,1,16,43,14,5,17,1,16,30,17,2,16,14,14,9,17,1,16,4,14,6,3,3,14,48,17,3,14,6,7,1,15,1,7,2,14,31,7,1,15,9,8,2,15,1,14,3,15,3,14,1,15,3,14,4,15,2,7,1,14,12,7,2,14,3,7,2,8,1,7,1,14,3,7,1,8,5,14,11,7,1,8,5,15,7,8,15,18,9,8,36,10,26,8,2,18,2,8,3,10,75,8,22,10,6,8,4,10,2,8,9,10,132,8,10,10,45,8,1,10,35,8,9,10,4,8,13,10,9,8,11,10,2,8,5,10,21,8,1,10,1,8,22,10,3,8,1,10,30,4,907,},
{4,796,19,2,4,1,18,1,3,2,14,18,15,1,14,2,3,2,14,1,8,3,17,1,16,18,3,2,4,43,18,1,3,1,16,69,17,1,14,2,15,1,8,1,15,2,14,1,16,7,14,2,15,3,14,2,17,1,16,3,17,1,14,1,16,5,17,3,16,4,17,1,14,6,3,2,16,2,3,1,14,4,3,1,14,4,16,3,17,1,16,5,14,2,17,1,16,3,14,2,17,4,14,2,17,2,16,7,17,1,16,13,17,2,16,78,17,1,14,1,15,1,8,1,7,1,16,24,14,2,15,1,8,1,15,2,8,3,15,2,14,5,17,1,16,3,17,2,16,29,17,2,16,13,17,2,16,28,14,6,17,1,16,28,17,3,16,13,17,1,14,10,16,3,14,7,16,3,3,1,14,56,7,1,15,1,7,1,14,27,7,3,15,1,7,1,15,6,8,4,15,3,14,2,15,1,8,1,15,2,14,8,15,1,8,1,7,1,14,2,7,1,14,9,7,3,14,2,7,4,14,2,7,1,8,1,10,3,8,1,7,1,14,2,17,1,14,8,7,1,8,4,15,8,8,7,18,18,8,35,10,13,8,3,10,1,8,3,10,5,8,2,18,2,8,4,10,75,8,9,10,1,8,7,10,1,8,5,10,4,8,3,10,3,8,12,10,11,8,3,10,51,8,4,10,62,8,1,10,1,8,7,10,23,8,1,10,21,8,1,10,34,8,10,10,4,8,6,10,2,8,4,10,10,8,11,10,2,8,5,10,20,8,5,10,5,8,13,10,5,8,2,10,26,4,910,},
{4,796,19,3,4,1,3,5,14,15,15,1,14,4,15,1,8,1,10,1,8,1,14,1,16,18,3,1,18,1,4,44,3,1,16,69,17,1,14,2,8,3,15,1,14,1,16,4,17,1,14,1,16,1,14,2,15,3,14,2,17,1,16,3,17,2,16,5,14,4,16,3,14,6,3,1,16,10,3,1,14,3,17,1,16,2,17,1,16,5,14,3,17,1,16,2,17,3,16,3,17,1,14,4,17,1,16,12,17,1,16,7,17,1,16,66,17,4,16,8,17,1,14,1,7,2,14,1,16,24,3,1,14,2,15,1,14,3,15,3,14,5,16,37,14,1,17,1,16,12,17,1,16,7,17,1,14,1,17,1,16,12,17,1,16,1,17,1,16,4,14,7,16,11,17,1,16,15,17,5,16,4,17,3,16,4,17,2,14,10,16,3,14,7,3,3,14,22,3,1,16,1,17,1,14,32,7,3,14,28,7,2,15,1,14,3,7,2,15,2,8,2,15,4,14,3,15,4,14,8,8,2,7,1,14,12,7,3,14,2,7,4,14,2,7,1,8,2,10,2,8,2,14,1,17,4,14,6,7,2,8,4,15,10,18,1,8,4,18,17,8,34,10,14,8,7,10,6,8,1,18,2,8,4,10,75,8,8,10,2,8,8,10,2,8,5,10,2,8,4,10,1,8,16,10,8,8,4,10,42,8,1,10,9,8,2,10,64,8,7,10,76,8,7,18,1,8,7,10,4,8,4,10,2,8,4,10,10,8,19,10,19,8,7,10,4,8,13,10,33,4,910,},
{4,796,19,4,18,1,3,1,16,1,3,2,14,10,16,2,3,1,14,3,15,1,14,3,15,1,8,1,10,1,8,1,14,1,16,8,14,1,16,9,3,1,4,2,19,2,4,41,3,1,16,70,14,1,15,1,8,1,9,1,8,1,15,1,14,2,16,2,3,1,14,2,16,1,3,1,14,5,17,1,16,4,17,2,16,5,14,13,3,1,16,10,3,1,14,2,17,1,14,3,16,6,17,1,14,3,16,4,17,1,14,1,17,3,14,6,17,1,16,9,17,1,16,8,17,2,16,46,17,3,16,16,17,1,14,2,17,1,16,8,17,1,14,2,17,1,16,25,17,1,14,13,17,1,16,36,17,1,14,1,17,1,16,9,17,1,16,8,17,1,14,4,16,8,14,1,17,1,16,2,17,2,16,5,17,1,14,7,17,1,16,7,17,6,16,12,17,3,16,3,17,15,14,5,17,1,16,4,17,1,14,32,16,2,17,3,14,65,15,7,14,2,15,3,14,14,15,2,7,1,14,4,7,3,14,5,7,2,14,3,8,2,7,1,14,5,7,1,8,1,10,1,8,2,14,2,17,1,16,2,17,1,14,6,7,1,8,4,15,2,14,1,15,2,8,2,15,1,14,3,15,1,8,4,18,18,8,10,10,2,8,1,10,5,8,6,10,4,8,4,10,27,8,3,18,1,8,2,10,76,8,6,10,3,8,10,10,3,8,3,10,3,8,14,10,2,8,5,10,7,8,8,10,53,8,3,10,61,8,7,10,71,8,17,10,5,8,2,10,1,8,6,10,9,8,20,10,9,8,1,10,1,8,2,10,5,8,2,10,2,8,5,10,1,8,4,10,2,8,9,10,17,8,3,10,13,4,910,},
{4,796,19,4,4,1,3,2,16,1,3,2,14,3,16,1,14,5,16,3,3,1,14,1,15,2,14,3,15,1,8,1,9,1,8,1,15,1,14,1,16,7,14,2,16,8,3,1,4,1,19,4,4,40,3,1,16,51,17,2,16,17,14,1,15,1,8,3,15,1,14,5,3,2,16,1,3,1,14,5,17,1,16,4,14,1,17,1,16,5,14,1,15,2,14,11,3,2,16,11,14,4,17,1,16,6,17,1,14,2,16,4,17,1,14,2,17,2,14,2,8,3,14,2,16,18,17,2,16,47,17,1,14,1,16,16,17,1,14,2,17,1,16,8,17,1,6,1,16,30,17,1,16,3,17,3,14,2,17,2,16,37,17,1,6,1,17,1,16,9,17,1,16,8,14,4,17,1,16,3,17,1,16,3,17,1,14,1,16,11,14,7,17,2,16,4,17,6,14,1,17,1,16,12,17,2,16,4,17,3,16,2,17,1,14,4,17,1,16,4,14,6,16,5,17,1,14,32,17,3,14,65,15,2,8,3,15,2,14,20,7,3,14,4,7,3,14,10,8,3,7,1,14,5,7,1,8,3,14,2,17,1,16,3,14,6,7,1,8,5,14,3,15,1,8,2,15,1,14,3,15,1,8,4,18,7,8,2,18,5,8,2,18,3,8,8,10,9,8,5,10,7,8,2,10,28,8,2,18,1,8,2,10,75,8,4,10,1,8,1,10,3,8,7,10,2,8,2,10,2,8,4,10,3,8,14,10,2,8,4,10,7,8,10,10,51,8,5,10,61,8,6,10,56,8,2,10,13,8,12,10,1,8,5,10,8,8,5,10,8,8,11,10,2,8,8,10,10,8,3,10,5,8,2,10,2,8,10,10,2,8,3,10,3,8,3,10,16,8,6,10,10,4,911,},
{4,796,19,4,4,1,18,1,3,4,14,3,17,2,14,5,16,2,14,2,15,1,18,1,15,1,14,3,15,1,8,3,15,1,14,1,16,6,14,2,16,8,3,1,4,1,19,4,4,40,3,1,16,70,14,1,15,2,8,1,15,1,14,6,16,3,14,7,16,3,17,1,14,1,17,1,16,4,14,3,15,1,14,14,17,1,16,9,14,1,15,2,14,2,16,7,17,2,16,4,17,1,16,4,14,1,15,1,8,1,9,1,8,1,15,1,14,1,16,18,17,2,16,65,17,1,14,2,16,9,14,1,17,1,16,53,17,1,16,24,17,2,16,19,14,4,16,21,14,7,17,1,16,4,17,5,16,2,17,2,16,6,17,1,16,17,17,4,16,5,14,8,16,4,17,1,14,3,16,2,17,2,14,48,17,4,14,38,15,2,8,4,15,2,14,29,7,2,14,10,7,1,8,4,7,1,14,4,7,1,8,1,7,1,14,1,17,1,16,3,17,1,14,6,7,1,8,5,14,4,15,4,14,1,15,2,8,4,18,4,8,5,18,4,8,3,18,3,8,8,10,9,8,6,10,5,8,3,10,28,8,2,18,1,8,2,10,75,8,6,10,1,8,9,10,2,8,1,10,3,8,4,10,3,8,4,10,1,8,2,10,1,8,11,10,7,8,11,10,52,8,4,10,11,8,4,10,46,8,4,10,39,8,3,10,15,8,4,10,11,8,13,10,1,8,5,10,4,8,1,10,3,8,5,10,8,8,21,10,18,8,1,10,4,8,10,10,1,8,3,10,22,8,9,10,6,4,4,19,4,4,904,},
{4,796,19,4,4,2,18,1,3,3,14,4,17,2,14,5,3,1,14,2,15,1,18,1,15,1,14,4,15,1,8,4,15,1,16,6,14,1,16,8,3,1,4,1,19,4,4,40,3,1,16,52,17,1,16,17,14,11,16,2,3,1,14,7,17,1,16,2,17,1,14,2,17,1,16,1,17,1,14,4,15,1,14,9,15,2,14,4,17,1,3,1,16,6,17,1,15,1,8,1,15,1,14,2,16,18,14,1,8,1,10,3,15,1,14,1,16,18,17,1,16,67,14,2,16,8,14,2,6,1,16,50,17,2,14,2,17,1,16,21,17,3,16,21,14,2,16,22,17,1,14,5,17,2,16,2,17,6,16,10,17,4,16,16,17,3,16,5,17,1,14,7,17,2,16,2,17,1,14,3,16,9,17,1,14,1,17,1,14,38,17,2,16,2,17,3,14,37,15,1,8,5,15,2,14,29,7,4,14,8,7,1,8,5,14,8,17,1,16,1,17,2,14,8,15,1,8,4,14,5,15,5,18,1,8,4,18,3,8,7,18,3,8,14,10,8,8,7,10,5,8,3,10,28,8,2,18,1,8,2,10,74,8,17,10,4,8,5,10,3,8,4,10,5,8,10,10,7,8,8,10,2,8,1,10,56,8,3,10,8,8,5,10,44,8,4,10,7,8,2,10,32,8,3,10,13,8,6,10,6,8,18,10,1,8,5,10,2,8,4,10,2,8,2,10,2,8,2,10,7,8,21,10,27,8,10,10,22,8,4,18,3,8,3,10,5,4,3,19,5,4,904,},
{4,797,19,5,4,1,3,4,14,14,15,2,14,4,15,1,8,2,10,1,9,1,8,1,17,1,16,14,3,1,4,1,19,4,4,40,18,1,3,1,16,51,17,2,16,15,17,1,14,11,16,2,14,9,16,3,14,9,15,1,14,8,15,1,8,2,15,1,14,6,16,5,14,1,15,1,8,2,14,2,16,8,17,1,16,8,14,2,8,1,10,3,8,1,14,1,3,1,16,17,17,1,16,67,14,2,16,8,14,1,15,1,14,1,16,50,17,1,14,3,17,1,16,21,17,3,16,46,14,4,17,2,16,2,17,6,16,12,17,4,16,15,17,4,16,5,14,7,17,1,16,3,17,1,14,2,17,1,16,12,14,38,3,1,17,1,16,2,17,2,14,38,8,6,15,2,14,29,7,2,8,1,7,2,14,8,8,5,7,1,14,6,17,1,16,2,17,1,14,4,17,1,14,5,8,4,14,5,15,2,8,8,18,4,8,26,10,5,8,6,10,6,8,3,10,27,8,6,10,73,8,17,10,5,8,5,10,2,8,5,10,5,8,10,10,6,8,8,10,60,8,5,10,6,8,5,10,42,8,7,10,5,8,3,10,32,8,3,10,12,8,8,10,4,8,14,10,6,8,5,10,2,8,4,10,2,8,1,10,3,8,4,10,5,8,20,10,19,8,4,10,4,8,11,10,22,8,4,18,4,8,2,10,5,4,3,19,5,4,904,},
{4,797,19,5,4,1,18,1,3,3,14,21,15,1,8,1,10,2,8,1,14,1,16,14,3,1,18,1,19,4,4,41,3,2,16,49,17,2,14,1,17,2,16,13,17,1,14,11,3,1,14,9,3,1,16,3,14,3,15,5,14,10,8,4,15,1,14,6,16,4,14,1,15,1,8,1,15,1,14,2,17,1,16,6,17,1,14,2,17,1,16,5,14,2,15,1,8,1,10,2,8,2,14,1,3,1,16,16,17,2,16,67,14,2,16,7,17,1,15,1,8,1,7,1,17,1,16,49,17,1,14,4,16,70,14,2,17,1,16,5,17,1,14,1,17,4,16,14,17,2,16,15,17,5,16,5,17,4,16,5,17,1,14,4,16,12,14,31,17,1,14,8,17,4,14,37,15,1,8,6,15,7,14,24,7,1,8,4,14,9,7,4,14,6,17,4,14,4,17,3,14,4,15,2,8,1,15,2,14,5,8,9,18,6,8,25,10,3,8,7,10,8,8,1,10,27,8,5,10,72,8,18,10,6,8,4,10,2,8,5,10,5,8,4,10,2,8,5,10,5,8,8,10,61,8,6,10,6,8,4,10,44,8,6,10,4,8,4,10,13,8,1,10,28,8,12,10,4,8,14,10,8,8,10,10,1,8,2,10,2,8,4,10,4,8,19,10,20,8,6,10,3,8,12,10,23,8,2,18,4,8,1,10,6,4,2,19,6,4,904,},
{4,798,19,4,4,2,18,1,3,2,14,17,3,3,14,2,8,1,9,2,15,1,16,16,18,1,19,4,4,42,18,1,3,1,16,47,17,2,14,3,17,2,16,12,17,1,14,3,17,1,14,17,3,1,16,3,14,2,15,1,8,4,15,2,14,9,8,4,15,1,14,6,16,3,17,1,14,2,15,2,14,3,17,1,16,5,14,4,16,3,14,4,15,1,8,1,10,2,8,1,15,1,14,2,16,16,17,1,16,68,14,2,17,1,16,6,14,1,15,1,8,1,7,1,6,1,16,49,17,1,14,4,16,69,17,1,14,2,16,5,17,6,16,6,17,2,16,23,17,3,14,2,17,1,16,12,17,1,14,6,16,12,14,26,16,4,14,10,17,3,14,35,7,2,15,2,8,7,15,12,14,9,15,2,14,3,7,2,14,1,7,2,8,4,7,1,14,19,17,1,14,5,17,1,16,2,17,1,14,7,15,3,14,3,15,1,8,5,18,1,8,2,10,1,8,1,18,6,8,9,10,2,8,14,10,2,8,5,10,38,8,5,10,62,8,1,10,7,8,15,18,1,8,3,10,7,8,4,10,2,8,4,10,6,8,3,10,3,8,4,10,5,8,8,10,62,8,7,10,5,8,4,10,9,8,2,10,34,8,6,10,2,8,9,10,9,8,1,10,24,8,16,10,4,8,14,10,9,8,31,10,1,8,7,10,22,8,6,10,3,8,12,10,24,8,2,18,2,8,1,10,7,4,2,19,6,4,904,},
{4,798,19,5,4,1,18,1,3,3,14,9,15,1,14,6,3,3,14,2,15,1,8,2,15,1,16,11,14,1,3,1,16,3,3,1,19,4,4,43,18,2,3,2,16,44,17,4,14,3,17,1,16,3,17,1,16,7,14,22,3,1,16,2,3,1,14,1,15,1,8,1,10,4,8,1,15,1,14,9,15,1,8,2,15,1,14,2,17,2,14,3,17,1,16,2,14,9,16,3,17,1,14,5,17,1,16,1,17,1,14,4,8,2,10,2,8,2,14,2,3,1,16,6,17,1,16,77,17,1,14,2,16,6,14,1,15,1,8,1,7,1,14,1,16,50,14,4,17,1,16,55,17,1,14,1,16,7,17,4,14,2,17,1,16,4,17,1,14,1,17,2,16,8,17,3,16,24,17,2,14,3,17,1,16,10,17,1,14,7,16,13,14,14,16,1,17,1,14,9,17,1,16,3,14,11,17,2,14,33,7,2,15,4,8,8,15,5,8,5,15,2,14,7,15,4,14,1,7,2,8,1,7,3,8,4,7,1,14,14,17,1,14,7,7,2,14,2,16,2,14,2,7,2,14,4,15,4,14,2,15,1,8,5,18,1,8,1,10,3,8,2,18,2,15,1,18,1,8,3,10,3,8,3,10,2,8,13,10,3,8,5,10,38,8,4,10,62,8,3,10,6,8,15,18,1,8,3,10,7,8,2,10,4,8,3,10,6,8,3,10,5,8,2,10,6,8,8,10,63,8,7,10,16,8,4,10,33,8,18,10,8,8,1,10,22,8,9,10,1,8,7,10,5,8,14,10,9,8,39,10,5,8,2,10,15,8,6,10,3,8,4,10,2,8,2,10,2,8,2,10,25,8,4,10,6,4,2,19,7,4,904,},
{4,799,19,4,4,1,18,1,3,3,14,16,3,4,14,1,15,1,8,2,15,1,16,11,14,2,16,3,3,1,4,1,19,4,4,40,19,4,4,2,3,2,16,29,17,2,16,4,17,1,16,8,17,2,14,3,17,5,16,7,17,1,14,21,3,1,16,2,3,1,14,1,8,1,10,5,8,1,15,1,14,9,15,3,14,2,17,1,16,2,14,3,16,3,14,9,16,3,17,1,14,7,17,1,3,2,14,2,8,2,10,3,8,1,15,1,14,1,3,1,16,85,14,3,16,5,14,1,15,3,14,1,16,50,14,5,16,39,14,1,17,1,16,14,14,2,16,7,17,4,14,2,17,1,16,4,17,1,14,2,17,1,16,7,17,4,16,24,17,2,14,3,17,5,16,5,17,1,14,8,17,1,16,12,14,13,16,3,17,1,14,16,17,1,14,6,17,2,14,32,7,1,15,6,8,9,15,3,8,6,15,2,14,6,15,5,7,2,8,2,7,2,8,5,7,1,14,7,17,1,14,5,17,3,14,5,7,3,14,2,17,2,14,2,7,1,8,1,15,2,14,2,15,7,8,5,18,1,8,1,10,4,8,2,18,3,8,3,10,7,8,13,10,2,8,7,10,38,8,4,10,62,8,3,10,6,8,15,18,1,8,3,10,13,8,3,10,5,8,4,10,12,8,8,10,37,8,2,10,25,8,7,10,15,8,6,10,33,8,16,10,29,8,1,10,1,8,7,10,5,8,6,10,5,8,3,10,2,8,1,10,5,8,2,10,10,8,5,18,2,8,4,18,1,8,3,10,1,8,24,10,2,8,4,10,15,8,6,10,3,8,3,10,8,8,1,10,26,8,2,10,7,4,2,19,5,4,906,},
{4,799,19,4,4,1,18,1,3,3,14,11,15,2,14,4,3,2,14,2,15,1,8,1,15,1,14,1,16,11,14,2,16,3,3,1,4,1,19,5,4,38,19,6,4,2,18,1,3,3,16,26,17,2,16,4,17,1,16,10,17,1,14,3,17,4,16,7,17,1,14,22,3,2,14,2,8,1,10,5,8,1,14,15,17,1,16,1,17,1,14,3,17,1,16,2,17,1,14,1,17,1,14,6,16,3,14,3,16,3,3,1,14,1,3,2,14,2,15,1,8,2,10,3,8,2,15,1,14,2,16,53,17,1,14,1,6,1,16,28,14,3,16,5,17,1,14,3,17,1,16,50,17,1,14,4,17,1,16,37,17,1,14,2,16,13,17,1,14,2,16,8,17,5,16,4,17,1,14,3,17,1,16,5,17,2,14,2,17,2,16,25,17,2,14,2,17,4,14,1,17,3,14,11,17,1,16,12,17,1,14,12,16,3,14,16,17,1,16,1,14,40,7,2,15,3,8,3,18,1,8,7,15,1,14,1,15,2,8,5,15,2,14,9,15,1,7,2,8,4,7,1,8,5,7,1,14,5,17,3,14,4,17,4,14,6,7,1,8,1,7,1,14,5,7,1,8,3,15,8,8,8,10,5,8,2,18,3,8,3,10,6,8,12,10,3,8,7,10,38,8,3,10,63,8,3,10,5,8,20,10,3,8,2,10,7,8,3,10,6,8,3,10,12,8,9,10,65,8,6,10,15,8,12,10,28,8,15,10,27,8,9,10,7,8,6,10,5,8,2,10,9,8,3,10,9,8,5,18,2,8,3,18,3,8,27,10,3,8,3,10,18,8,2,10,5,8,2,10,8,8,1,10,34,4,3,19,5,4,906,},
{4,799,19,4,4,1,18,1,3,3,14,21,15,3,14,1,16,11,14,2,16,3,3,1,18,1,4,1,19,4,4,38,19,6,4,5,18,1,3,1,16,26,17,1,16,4,17,2,16,9,17,1,14,3,17,1,16,11,14,19,15,1,14,2,3,2,14,2,8,1,10,4,8,1,15,1,14,15,17,1,16,1,14,5,16,2,17,4,14,5,17,1,16,2,14,3,16,6,3,1,14,2,15,1,8,2,10,4,8,2,15,1,14,1,17,1,16,52,14,3,17,1,16,27,17,1,14,2,16,6,14,3,16,52,14,5,17,2,16,30,17,6,14,1,17,1,16,13,17,2,16,18,17,1,14,3,17,1,16,5,17,1,14,3,17,2,16,2,17,3,16,19,17,3,14,2,17,1,16,2,17,2,14,14,17,2,16,12,14,12,17,1,16,1,17,1,14,16,17,2,14,41,7,1,15,3,8,3,15,3,8,5,15,1,14,2,15,1,8,2,15,4,14,11,7,2,8,4,7,1,8,5,7,1,14,5,17,2,14,15,7,1,8,2,7,1,14,4,7,1,8,5,15,5,8,10,10,5,8,3,18,3,8,2,10,5,8,10,10,5,8,7,10,38,8,3,10,63,8,3,10,4,8,10,18,2,8,9,10,2,8,4,10,6,8,3,10,6,8,3,10,12,8,8,10,88,8,13,10,28,8,8,10,32,8,5,10,11,8,6,10,5,8,1,10,11,8,1,10,9,8,7,18,1,8,3,18,4,8,25,10,4,8,3,10,18,8,2,10,4,8,3,10,6,8,3,10,34,4,2,19,6,4,906,},
{4,799,19,4,4,1,18,1,3,3,14,17,15,7,14,1,16,17,3,1,18,1,19,4,4,38,19,6,4,6,18,1,3,1,16,30,17,2,16,10,14,3,17,1,16,11,14,18,15,2,14,2,3,2,14,2,15,1,8,1,10,2,8,2,15,1,14,15,17,1,14,6,17,1,16,1,17,2,16,2,14,5,17,1,16,1,17,1,14,3,16,6,3,1,14,1,15,1,8,4,9,1,10,4,8,1,15,1,14,1,16,52,14,1,7,2,6,1,16,28,14,2,17,1,16,6,17,1,16,53,17,1,14,6,16,30,17,3,16,1,17,2,16,35,17,1,14,3,16,6,14,3,17,1,16,2,17,6,16,20,17,1,14,1,17,1,16,4,17,1,14,13,17,1,16,3,17,2,14,1,17,2,16,6,14,13,16,1,14,62,7,2,15,1,8,2,15,3,8,4,15,2,14,2,15,1,8,2,15,1,14,15,7,1,15,1,7,5,8,3,7,1,14,20,17,2,14,2,7,1,8,1,7,1,14,5,8,5,15,5,8,6,18,1,8,3,10,6,8,2,18,4,8,2,10,4,8,9,10,6,8,7,10,38,8,3,10,64,8,3,10,2,8,11,18,3,8,15,10,4,8,5,10,5,8,3,10,3,8,2,10,7,8,9,10,9,8,1,10,77,8,14,10,30,8,5,10,3,8,4,10,8,8,3,10,13,8,4,10,9,8,10,10,5,8,1,10,21,8,3,10,1,8,7,18,5,8,15,10,3,8,4,10,7,8,1,10,25,8,4,10,3,8,5,10,33,4,2,19,7,4,906,},
{4,799,19,4,4,1,18,1,3,1,16,1,3,1,14,13,3,2,14,2,15,6,14,2,3,1,16,17,3,1,4,1,19,3,4,39,19,5,4,7,18,1,3,1,16,41,17,1,14,3,16,11,17,1,14,16,15,3,14,3,3,2,14,2,15,1,8,3,15,1,14,15,17,2,14,6,17,4,16,1,17,2,14,5,17,1,14,3,17,1,16,6,3,1,14,1,15,1,8,5,10,5,15,1,14,1,16,52,14,1,7,2,6,1,16,28,17,1,14,2,16,62,17,1,14,4,17,3,16,27,17,2,16,40,17,2,16,7,17,1,14,2,17,1,16,2,17,6,16,20,17,3,16,5,17,1,14,7,17,1,16,1,17,1,14,3,17,5,14,1,17,3,16,6,17,1,14,11,16,1,14,64,15,2,8,1,18,1,15,2,18,1,8,3,15,2,14,2,15,3,14,16,7,10,14,11,7,1,14,4,7,2,14,2,17,3,14,2,7,1,8,1,7,1,14,5,7,1,8,4,15,5,8,4,18,1,15,1,8,5,10,4,8,4,18,4,8,1,10,5,8,8,10,5,8,8,10,38,8,3,10,64,8,15,18,1,8,1,18,2,8,15,10,4,8,5,10,6,8,1,10,2,8,5,10,6,8,13,10,83,8,16,10,16,8,2,10,9,8,6,10,3,8,6,10,6,8,3,10,25,8,10,10,28,8,3,10,2,8,6,18,6,8,14,10,4,8,2,10,32,8,14,10,33,4,2,19,5,4,908,},
{4,799,19,4,4,1,3,1,16,2,3,1,14,13,3,2,14,2,15,7,14,1,3,1,16,17,3,1,4,1,19,2,4,53,18,1,3,2,16,29,17,2,16,9,14,3,17,1,16,12,17,2,14,6,15,2,14,5,15,4,14,7,15,4,14,1,15,4,14,9,17,3,14,7,17,6,14,5,17,1,14,3,16,4,3,4,14,1,18,1,8,1,10,1,9,2,10,6,15,1,17,1,16,52,14,3,16,30,17,1,14,2,16,63,14,3,17,2,14,1,17,1,16,27,17,1,16,14,17,1,16,34,17,1,14,1,17,1,16,3,17,6,16,4,17,1,16,24,17,1,14,6,17,2,14,6,17,1,14,1,17,1,14,5,17,2,16,4,14,11,16,1,14,60,7,1,15,1,14,2,15,1,18,3,15,1,18,4,15,8,14,16,7,2,14,3,7,2,14,7,17,1,14,2,7,1,14,2,7,2,14,4,7,1,8,1,7,1,14,2,17,2,14,2,7,4,14,4,7,1,8,2,15,4,14,2,15,1,18,1,8,2,15,3,18,1,8,2,18,1,8,10,18,3,8,3,10,2,8,8,10,6,8,8,10,38,8,3,10,68,8,10,18,2,8,18,10,4,8,5,10,9,8,4,10,7,8,13,10,80,8,21,10,6,8,1,10,5,8,3,10,5,8,22,10,4,8,2,10,25,8,11,10,14,8,3,10,5,8,2,10,4,8,2,10,3,8,6,18,7,8,13,10,31,8,3,10,3,8,3,10,1,8,8,18,1,8,2,10,33,4,2,19,5,4,908,},
{4,799,19,4,4,1,3,1,16,2,3,1,14,7,17,1,14,9,15,3,14,2,15,3,14,1,16,6,17,2,16,9,3,1,4,57,18,2,16,29,17,2,16,9,14,4,17,2,16,11,17,1,14,4,15,4,14,5,15,3,14,8,15,7,8,1,15,2,14,8,16,3,17,1,14,7,17,2,14,2,17,2,14,4,17,2,14,1,16,4,3,1,14,2,3,2,14,1,15,1,8,1,10,8,8,1,14,1,16,6,17,2,16,45,17,1,14,1,17,1,16,14,17,1,16,16,14,2,16,64,17,2,16,2,14,1,17,1,16,20,17,1,16,20,17,1,14,2,16,34,17,1,16,4,17,3,16,4,17,5,16,17,17,3,16,4,17,2,14,12,17,1,14,10,16,3,17,1,14,10,16,1,14,21,15,4,14,31,7,2,15,8,18,1,8,1,18,5,15,8,14,16,7,2,14,12,17,1,14,2,7,3,8,2,14,2,17,1,14,2,7,2,14,7,7,3,14,4,7,1,8,1,15,1,14,2,15,2,14,3,15,1,18,1,15,1,14,2,15,1,18,1,8,2,15,1,18,2,8,25,10,5,8,5,10,40,8,2,18,1,8,1,10,69,8,9,18,2,8,9,10,1,8,8,10,4,8,2,10,3,8,1,10,8,8,4,10,5,8,1,10,2,8,2,10,2,8,9,10,36,8,1,10,41,8,22,10,4,8,4,10,4,8,3,10,4,8,23,10,4,8,2,10,32,8,4,10,13,8,5,10,4,8,2,10,10,8,5,18,6,8,13,10,1,8,6,10,8,8,2,10,14,8,4,10,3,8,3,10,2,8,7,18,1,8,1,10,11,8,1,10,18,4,6,19,5,4,908,},
{4,799,19,4,4,1,3,2,16,2,3,1,14,21,15,1,8,2,15,1,3,1,16,5,17,2,16,9,3,1,4,58,18,1,3,1,16,17,17,1,16,10,17,1,14,1,16,9,17,1,14,4,17,3,14,2,17,3,16,4,17,1,14,3,15,5,14,4,15,4,14,10,15,3,8,4,15,1,14,4,15,2,14,2,16,4,17,1,14,2,17,2,14,2,17,1,14,3,17,2,14,3,16,8,14,7,8,2,10,6,8,1,15,1,14,1,16,5,17,3,16,15,17,2,16,11,17,3,16,31,17,2,16,15,14,2,16,68,14,1,17,1,16,42,14,3,16,8,17,2,16,28,17,3,16,3,17,2,14,2,17,2,16,17,17,1,14,1,17,3,16,4,17,1,14,21,17,1,16,3,17,2,14,66,7,2,15,9,8,3,15,4,8,3,15,7,14,13,7,1,14,4,7,2,14,10,7,2,8,2,7,1,14,1,17,1,16,1,17,1,14,1,7,2,14,6,7,4,14,4,7,1,15,2,14,2,15,2,14,3,15,6,18,1,8,2,14,2,18,4,8,21,10,51,8,2,18,1,8,2,10,68,8,9,18,2,8,9,10,2,8,6,10,5,8,1,10,3,8,2,10,3,8,1,10,3,8,4,10,6,8,16,10,36,8,1,10,40,8,3,18,1,8,20,10,3,8,5,10,3,8,3,10,4,8,25,10,36,8,1,10,16,8,4,10,5,8,2,10,10,8,6,18,1,8,15,10,4,8,8,10,4,8,3,10,15,8,2,10,11,8,2,10,2,8,4,10,9,8,3,10,16,4,7,19,5,4,908,},
{4,799,19,3,4,2,3,2,16,2,3,1,14,17,3,2,14,2,15,1,8,1,9,1,15,1,14,1,16,16,3,1,4,59,3,1,16,17,17,1,14,1,16,9,17,1,14,2,16,9,14,10,17,1,16,2,17,1,14,6,15,13,14,11,15,2,8,5,15,1,14,3,15,2,14,2,3,1,16,3,3,2,14,11,17,1,16,10,14,7,15,1,8,1,9,1,10,3,8,2,15,1,14,2,16,23,14,2,16,11,17,4,16,30,17,1,16,16,17,1,14,1,16,67,17,2,14,2,17,1,16,41,17,1,14,2,16,8,17,2,16,27,17,2,14,1,17,3,14,3,17,1,16,20,14,1,17,2,16,6,14,12,17,1,16,1,17,1,14,5,17,1,16,3,17,2,14,27,16,1,17,1,14,16,7,2,14,21,15,2,14,4,15,4,8,2,15,2,14,1,15,1,8,4,15,7,14,17,15,4,14,10,15,3,14,2,17,2,14,2,15,1,8,1,15,1,14,4,15,2,8,2,15,9,14,1,15,4,14,1,15,2,18,1,8,3,18,4,15,1,18,3,8,20,10,9,8,10,10,35,8,4,10,63,8,2,10,3,8,10,18,5,8,5,10,4,8,4,10,6,8,5,10,6,8,4,10,6,8,12,18,3,8,2,10,77,8,24,10,4,8,5,10,4,8,3,10,3,8,6,10,1,8,17,10,61,8,8,10,5,8,22,10,5,8,8,10,4,8,1,10,5,8,2,10,27,8,5,10,7,8,3,10,15,4,921,},
{4,800,19,2,4,2,3,2,16,2,3,1,14,15,3,4,14,2,15,1,8,2,15,1,14,1,16,16,3,1,4,59,3,1,16,17,17,1,14,2,16,7,17,1,14,3,16,8,17,1,14,10,16,3,14,7,15,13,14,10,15,2,8,5,15,2,14,2,15,4,14,2,16,4,3,1,14,2,3,3,14,6,16,11,14,2,15,1,14,4,15,1,8,5,15,1,14,3,16,5,17,3,16,16,17,1,14,1,16,12,17,3,16,48,14,1,17,1,16,65,17,1,14,5,16,42,17,2,16,8,17,1,16,28,17,1,14,8,16,22,17,3,16,4,14,13,16,2,17,1,14,5,17,1,16,3,17,2,14,26,17,1,16,1,17,1,14,16,7,3,14,27,15,3,8,1,15,2,14,2,15,1,8,4,15,3,8,2,15,2,14,16,15,6,14,9,15,2,14,3,17,1,14,2,15,1,8,3,14,4,15,2,8,6,15,9,18,1,15,3,18,1,8,3,18,5,15,1,18,2,8,19,10,10,8,11,10,34,8,5,10,62,8,2,10,4,8,9,18,5,8,6,10,3,8,4,10,8,8,4,10,5,8,4,10,6,8,9,10,2,8,1,18,3,8,2,10,79,8,22,10,5,8,5,10,4,8,2,10,4,8,5,10,2,8,16,10,17,8,2,10,41,8,9,10,4,8,24,10,5,8,8,10,40,8,3,10,7,8,2,10,16,4,921,},
{4,803,18,1,3,2,16,3,14,14,3,5,14,2,15,2,8,1,15,1,14,1,16,9,17,2,16,5,3,1,4,1,19,2,4,55,18,1,3,1,16,18,14,2,16,7,14,4,16,8,14,10,16,4,14,7,15,2,14,3,15,1,14,1,15,6,14,10,15,1,8,3,15,5,14,2,15,1,8,2,15,1,14,2,3,1,16,3,3,1,14,2,3,2,16,1,3,1,14,5,16,10,3,1,14,7,15,2,8,1,15,2,14,4,16,6,14,3,16,81,6,1,17,1,16,65,6,1,14,6,16,50,14,1,17,1,16,8,17,1,16,19,17,1,14,9,16,28,14,12,17,1,16,3,17,1,14,4,17,1,16,4,17,3,14,38,6,1,14,4,7,1,14,29,15,5,14,2,7,2,8,5,7,3,15,2,14,20,15,5,14,7,15,1,14,7,8,4,14,5,15,2,8,5,15,4,14,3,15,1,18,2,15,3,18,1,8,3,18,5,15,2,18,1,8,20,10,8,8,12,10,34,8,6,10,67,8,9,18,8,8,10,10,9,8,3,10,5,8,3,10,8,8,8,10,2,8,6,10,82,8,20,10,4,8,5,10,3,8,3,10,4,8,5,10,2,8,18,10,57,8,10,10,4,8,8,18,1,8,17,10,3,8,8,10,68,4,4,19,4,4,913,},
{4,804,3,2,16,3,3,1,14,14,3,4,14,3,15,2,14,1,3,1,16,8,17,3,16,5,3,1,19,4,4,54,18,1,16,19,14,3,16,6,14,3,16,8,14,10,17,1,16,4,14,14,15,3,8,2,15,2,14,8,15,1,8,4,15,7,8,4,15,1,14,2,16,3,3,1,14,2,3,1,16,2,17,1,14,5,17,1,16,8,3,1,14,8,15,3,14,4,3,2,16,5,14,4,17,1,16,7,17,1,16,72,17,2,16,65,14,7,16,49,14,2,17,1,16,28,17,1,14,9,16,27,14,13,17,1,16,3,17,1,14,4,17,1,16,5,17,4,14,32,17,4,14,34,15,6,14,3,15,1,8,5,15,4,14,16,15,1,14,5,15,5,14,5,15,2,14,6,8,4,15,1,14,6,15,2,8,2,15,2,8,1,15,2,14,4,15,1,18,2,15,2,14,1,15,1,8,4,18,4,15,1,18,2,8,20,10,7,8,13,10,15,8,2,10,18,8,7,10,65,8,9,18,4,8,2,18,2,8,11,10,9,8,3,10,15,8,7,10,4,8,4,10,84,8,14,10,2,8,2,10,6,8,4,10,3,8,3,10,4,8,14,10,4,8,8,10,46,8,2,10,8,8,11,10,3,8,8,18,1,8,17,10,4,8,8,10,67,4,3,19,6,4,912,},
{4,804,18,1,3,2,16,2,3,1,14,4,15,1,14,11,3,2,14,6,16,8,17,1,14,1,17,1,16,6,3,1,19,4,4,54,3,1,16,19,14,3,17,1,16,5,14,3,16,3,17,1,16,4,14,2,15,2,14,6,17,1,16,4,14,14,15,2,8,4,15,1,14,7,15,2,8,4,15,2,14,1,15,4,8,5,15,1,14,1,16,4,14,2,3,1,16,3,14,6,16,8,3,1,14,8,15,2,14,3,3,2,16,7,14,4,17,1,16,6,17,2,16,139,14,7,16,3,17,1,14,1,17,2,16,31,17,2,16,9,14,2,16,29,17,1,14,6,17,1,16,29,17,1,14,7,17,2,14,4,16,4,14,4,17,1,16,2,17,2,16,5,17,2,14,16,17,1,14,15,17,1,14,6,7,2,14,26,15,3,8,1,15,2,14,4,15,2,8,5,15,2,14,24,15,4,14,5,15,2,14,5,15,1,8,4,15,1,14,7,15,4,8,3,15,2,14,3,15,1,18,3,14,3,18,1,8,3,18,7,8,13,10,2,8,5,10,7,8,14,10,14,8,3,10,18,8,6,10,65,8,10,18,2,8,10,10,3,8,3,10,9,8,4,10,16,8,4,10,56,8,3,10,35,8,13,10,2,8,2,10,5,8,5,10,3,8,5,10,1,8,15,10,5,8,7,10,3,8,3,10,39,8,3,10,9,8,11,10,2,8,8,18,1,8,17,10,5,8,8,10,14,8,1,10,7,8,4,10,17,8,2,10,21,4,3,19,6,4,912,},
{4,804,18,1,3,3,16,1,3,1,14,24,16,8,17,1,6,1,16,7,18,1,19,4,4,54,3,1,16,19,17,1,14,3,16,6,17,1,16,3,17,1,14,2,17,1,16,2,14,2,15,2,14,5,17,1,16,7,3,1,14,9,15,4,8,4,15,1,14,8,15,1,8,1,10,2,8,1,15,1,14,2,15,3,8,7,14,1,3,1,16,2,3,1,14,2,3,1,16,2,14,8,16,8,3,1,14,7,15,2,14,2,3,1,16,8,17,1,14,4,17,1,16,5,17,1,14,2,16,78,17,1,16,60,14,13,17,1,16,30,17,3,16,9,14,2,16,28,17,1,14,5,16,33,14,7,17,2,14,4,17,1,16,3,17,1,14,3,17,5,16,6,17,1,14,16,17,1,16,2,14,48,15,2,8,3,15,1,14,3,15,5,8,3,15,1,14,11,15,1,14,14,15,2,14,5,15,3,14,5,15,1,8,4,15,1,14,8,15,3,8,4,15,2,14,3,18,3,14,3,15,1,18,1,8,2,18,6,8,14,10,3,8,4,10,7,8,2,10,3,8,12,10,11,8,4,10,18,8,2,18,2,8,2,10,65,8,22,10,2,8,4,10,9,8,3,10,16,8,3,10,5,8,1,10,50,8,5,10,41,8,6,10,9,8,5,10,4,8,20,10,5,8,15,10,37,8,3,10,11,8,38,10,6,8,6,10,12,8,7,10,2,8,7,10,15,8,2,10,21,4,3,19,6,4,912,},
{4,805,18,2,3,2,16,1,3,1,14,17,3,4,14,2,16,17,18,1,19,4,4,47,19,5,4,1,18,1,3,1,16,20,14,3,16,10,14,4,16,2,14,2,15,2,14,5,16,9,3,1,14,8,15,3,8,4,15,1,14,10,8,1,10,2,8,1,15,1,14,3,15,3,8,3,10,2,8,1,15,1,14,1,16,2,14,4,3,2,14,2,15,4,14,2,16,9,14,7,15,1,14,2,3,1,16,1,3,4,16,4,14,5,16,6,14,2,17,1,16,77,17,2,16,60,17,1,14,7,15,3,14,2,17,1,16,30,17,3,16,9,17,1,16,29,17,1,14,5,16,15,17,3,16,15,17,1,14,6,17,2,14,4,17,1,16,3,17,1,14,3,17,2,14,3,17,2,16,3,17,2,14,17,16,2,14,36,15,1,14,10,15,2,8,4,15,1,14,3,15,2,14,2,15,2,8,1,15,2,14,33,15,5,14,1,15,3,8,3,15,1,14,11,15,2,8,5,15,1,14,2,18,3,14,4,18,1,8,3,18,4,8,15,10,3,8,5,10,6,8,1,10,6,8,11,10,10,8,4,10,18,8,2,18,3,8,1,10,55,8,6,10,5,8,27,10,35,8,2,10,49,8,6,10,42,8,5,10,8,8,6,10,4,8,21,10,4,8,3,10,5,8,8,10,36,8,4,10,11,8,37,10,6,8,6,10,11,8,8,10,2,8,5,10,40,4,3,19,6,4,912,},
{4,807,18,1,3,3,14,17,3,2,16,1,3,1,14,2,3,1,16,15,3,1,18,1,19,4,4,46,19,6,4,1,3,1,16,21,17,1,14,2,16,10,14,4,16,2,14,8,16,10,3,1,14,8,15,3,8,4,15,1,14,3,3,2,14,2,3,2,14,1,15,1,8,1,10,1,8,1,15,1,14,4,15,3,8,2,10,3,8,1,14,2,3,1,14,4,3,1,14,2,15,2,8,2,15,1,14,2,16,10,3,1,14,4,15,2,14,2,3,2,14,5,17,3,14,4,17,1,16,5,17,1,14,2,17,1,16,15,17,2,16,60,17,1,14,1,17,1,16,34,17,1,16,24,17,1,14,6,15,4,14,1,17,1,16,32,17,1,16,40,17,1,14,5,16,16,17,1,16,16,17,1,14,1,17,1,14,4,17,2,14,4,17,2,16,2,17,2,14,7,17,2,16,2,17,2,14,19,16,1,14,3,17,3,14,41,15,3,8,3,15,6,14,3,15,3,14,32,15,3,14,1,15,8,14,7,15,1,14,7,15,1,8,6,15,1,14,1,18,3,14,4,18,1,8,3,18,3,8,24,10,6,8,2,10,6,8,11,10,1,8,2,10,6,8,4,10,18,8,2,18,3,8,1,10,53,8,3,18,2,8,5,10,4,8,15,10,2,8,9,10,17,8,1,10,16,8,3,10,49,8,5,10,43,8,4,10,9,8,6,10,5,8,23,10,11,8,5,10,36,8,7,10,9,8,38,10,6,8,5,10,10,8,10,10,1,8,3,10,42,4,3,19,6,4,912,},
{4,808,3,3,14,17,3,4,14,3,16,15,3,1,4,1,19,4,4,46,19,6,18,1,3,1,16,22,14,2,16,10,14,4,16,3,14,7,16,9,14,10,15,3,8,3,15,2,14,2,3,3,14,1,3,1,16,1,3,1,14,1,15,1,8,3,15,1,14,5,15,3,8,1,10,3,8,1,15,1,14,6,17,1,14,2,15,2,8,2,15,1,14,2,16,11,3,1,14,3,15,1,14,3,3,1,14,12,17,1,16,4,17,2,14,3,17,1,16,15,17,2,16,60,14,2,17,1,16,34,17,1,16,24,14,2,15,2,14,1,15,5,14,1,17,1,16,75,17,2,14,2,17,2,16,4,17,1,14,1,17,2,16,23,17,4,14,4,17,2,14,5,17,4,14,8,17,3,16,1,17,2,14,13,15,1,14,9,17,1,16,1,17,1,14,32,15,1,14,8,15,3,8,3,15,6,14,4,15,2,14,32,15,3,14,1,15,6,14,8,7,4,14,5,15,1,8,6,15,2,18,1,8,1,18,1,14,3,15,1,8,6,18,1,8,26,10,2,8,4,10,6,8,8,18,1,8,2,10,1,8,3,10,5,8,5,10,17,8,1,18,1,14,2,18,1,8,1,10,52,8,3,18,3,8,6,10,2,8,6,18,1,8,19,10,17,8,2,10,16,8,3,10,50,8,3,10,34,8,3,10,8,8,2,10,10,8,6,10,6,8,21,10,41,8,1,10,7,8,13,10,6,8,20,18,1,8,18,10,7,8,3,10,10,8,11,10,16,8,2,10,28,4,3,19,6,4,912,},
{4,808,18,1,3,2,14,10,16,5,14,2,3,2,16,1,14,4,16,14,3,2,4,1,19,4,4,46,19,5,4,1,18,1,16,23,14,2,16,10,14,3,17,1,16,4,17,1,16,3,14,1,16,6,17,1,14,13,15,3,8,3,15,1,14,3,3,2,14,3,3,3,14,1,15,1,8,1,15,1,14,8,15,2,8,1,10,2,8,1,15,1,14,5,17,1,16,1,14,2,15,5,14,2,16,12,14,2,15,2,14,7,15,1,14,7,17,1,16,3,17,1,14,6,17,1,16,7,17,1,14,2,16,12,17,2,16,53,14,2,17,1,16,59,14,1,15,1,8,1,15,5,14,2,17,1,16,26,17,6,16,25,17,1,14,1,17,1,16,18,17,4,16,4,17,4,16,28,14,3,17,7,16,3,17,6,14,3,17,4,14,32,17,1,14,27,15,1,14,9,15,3,8,3,15,5,14,38,15,5,14,13,7,1,14,1,7,2,14,5,15,1,8,6,15,2,8,2,18,1,15,1,14,1,15,1,18,1,8,40,10,6,8,7,18,1,8,2,10,1,8,3,10,5,8,4,10,18,8,1,14,3,18,1,8,1,10,52,8,4,18,2,8,13,18,2,8,20,10,34,8,3,10,88,8,2,10,32,8,12,10,3,8,5,10,42,8,2,10,5,8,6,10,2,8,10,10,1,8,21,18,1,8,18,10,19,8,15,10,13,8,4,10,25,4,4,19,5,4,913,},
{4,808,18,1,3,2,14,9,16,6,14,2,3,2,16,1,3,1,14,3,16,14,3,2,18,1,19,4,4,46,19,5,4,1,3,1,16,21,17,1,14,3,16,5,14,1,17,1,16,3,17,1,14,2,16,14,14,9,15,1,14,5,15,3,8,4,15,2,14,8,3,2,14,1,15,3,14,6,15,4,8,2,9,1,8,1,15,1,14,4,17,1,16,3,14,3,15,2,14,3,16,12,14,2,15,2,14,7,15,2,14,6,16,4,14,7,17,1,16,7,14,3,17,1,16,10,14,3,16,53,14,2,16,59,14,1,15,1,8,3,15,1,14,4,16,30,17,5,16,14,17,1,16,9,17,3,16,59,17,1,14,1,17,4,16,7,17,6,14,1,17,5,14,31,17,5,14,25,15,1,14,8,15,3,8,3,15,5,14,26,7,1,14,10,15,5,14,22,15,2,8,4,15,3,8,3,18,2,15,1,18,1,8,41,10,8,8,7,10,2,8,4,10,4,8,4,10,17,8,1,18,1,14,3,18,1,8,1,10,54,8,5,10,1,8,8,18,5,8,20,10,1,8,2,10,21,8,2,10,7,8,4,10,123,8,11,10,50,8,2,10,6,8,4,10,3,8,32,18,1,8,18,10,19,8,4,10,4,8,8,10,13,8,4,10,24,4,922,},
{4,809,18,1,3,1,14,9,16,5,14,4,3,1,16,1,3,1,14,4,16,4,17,1,16,8,3,2,18,1,19,4,4,46,19,4,4,1,18,1,3,1,16,20,17,2,14,3,16,4,14,3,17,1,16,18,14,15,15,3,8,6,15,1,14,5,15,2,14,5,15,2,14,5,15,4,14,2,15,1,8,1,15,1,14,4,17,1,16,4,17,1,14,7,16,8,3,1,16,3,14,13,15,2,14,4,17,1,16,2,17,1,14,1,15,3,14,4,17,1,16,6,14,4,16,9,17,1,14,1,7,1,14,1,16,10,17,3,16,40,14,2,16,58,14,1,15,1,8,4,14,2,17,1,16,34,17,3,16,65,17,1,16,22,17,2,16,14,17,4,14,35,17,5,14,24,15,1,14,8,15,1,14,1,15,9,14,24,15,1,8,1,7,1,14,8,15,8,14,17,7,1,14,2,7,1,15,2,8,2,15,4,18,1,8,3,18,3,8,42,10,10,8,5,10,3,8,4,10,2,8,4,10,18,8,1,18,1,14,3,18,1,8,2,10,60,8,6,18,4,8,4,10,1,8,7,10,1,8,13,10,20,8,2,10,4,8,6,10,118,8,2,10,4,8,11,10,50,8,2,10,6,8,3,10,4,8,52,10,18,8,3,10,7,8,7,10,12,8,4,10,24,4,922,},
{4,809,18,1,3,1,14,9,17,3,14,6,16,3,3,1,14,3,16,4,17,1,16,8,3,2,18,1,19,4,4,46,19,4,4,1,18,1,3,1,16,21,14,3,17,1,16,4,14,3,17,1,16,18,14,14,15,4,8,6,15,1,14,4,15,1,8,2,15,1,14,4,15,2,14,4,15,4,14,10,16,6,17,2,14,5,16,8,14,1,16,3,14,14,15,1,14,5,16,2,14,2,15,3,14,4,17,1,16,6,17,1,14,3,17,1,16,8,17,1,14,1,15,1,14,1,16,5,17,2,16,3,17,1,14,1,17,1,16,40,17,2,16,57,14,2,8,4,15,1,14,1,16,37,17,1,16,63,17,5,16,20,17,3,16,14,17,1,14,41,17,1,14,10,15,2,14,21,15,2,14,2,15,7,14,24,15,2,8,2,15,1,14,7,15,3,14,1,15,4,14,17,7,1,14,1,7,6,15,2,14,1,15,1,8,4,18,1,8,41,10,22,8,4,10,2,8,1,10,18,8,3,18,1,14,1,18,3,8,2,10,60,8,4,18,1,8,1,18,3,8,4,10,2,8,6,10,5,8,11,10,20,8,1,10,4,8,6,10,125,8,9,10,52,8,1,10,6,8,2,10,5,8,17,10,1,8,29,10,2,8,5,10,27,8,8,10,11,8,3,10,24,4,922,},
{4,810,3,1,14,10,17,1,14,7,16,4,14,3,16,4,17,1,16,6,3,1,16,3,3,1,4,1,19,2,4,47,19,4,4,1,3,1,16,22,14,2,17,1,16,4,17,1,14,4,16,17,17,1,14,14,15,1,8,1,15,1,8,7,15,1,14,4,15,1,8,2,15,1,14,4,15,2,14,4,15,4,14,10,17,1,16,8,14,5,16,6,3,1,14,1,17,1,16,1,17,1,14,10,17,1,14,3,15,2,14,4,16,2,14,2,15,3,14,4,17,1,16,7,17,1,14,3,16,9,14,3,17,1,16,3,17,3,16,2,17,1,14,2,17,1,16,99,14,1,8,1,10,2,8,1,15,1,14,1,16,45,17,1,16,56,17,1,14,3,17,1,16,14,14,3,16,2,17,1,14,3,17,1,16,5,17,4,16,4,17,1,14,25,15,3,14,53,15,4,14,25,15,1,8,4,15,3,14,6,15,6,14,17,7,3,14,1,7,5,15,1,14,1,15,1,8,3,18,2,8,7,18,2,8,32,10,5,8,1,10,17,8,2,10,21,8,13,10,57,8,5,18,1,8,1,18,2,8,4,10,3,8,5,10,6,8,12,10,10,8,2,10,7,8,2,10,3,8,2,18,2,8,2,10,3,8,1,10,196,8,12,10,6,8,7,10,3,8,28,10,6,8,4,10,16,8,12,10,33,4,922,},
{4,810,18,1,14,9,17,1,16,3,14,5,17,1,16,3,14,3,16,4,17,1,16,6,3,1,16,3,3,1,4,50,19,4,4,1,3,1,16,22,17,2,16,5,14,5,16,17,14,10,15,1,14,4,15,4,8,6,15,1,14,4,15,2,8,1,15,1,14,5,15,2,14,3,15,3,14,12,17,1,16,7,14,5,16,6,3,1,14,2,16,1,14,7,15,1,14,2,17,1,16,2,14,2,15,2,14,4,16,3,14,2,15,1,14,5,17,1,16,8,14,3,17,1,16,9,14,3,16,2,17,1,6,1,17,1,16,2,17,2,14,1,6,1,16,80,17,1,16,18,17,1,8,1,10,3,8,1,14,1,16,46,17,1,16,2,17,2,16,37,17,9,16,7,17,3,16,4,17,2,14,1,16,7,14,10,17,1,16,5,17,5,16,3,14,25,15,4,14,54,15,3,14,8,15,2,14,15,15,2,8,5,15,2,14,5,15,9,14,13,7,3,14,4,7,2,15,4,8,2,15,3,8,6,18,3,8,33,10,1,8,9,10,36,8,1,10,1,8,3,10,1,8,2,18,3,8,1,10,6,8,1,10,47,8,15,10,4,8,4,10,7,8,12,10,9,8,3,10,7,8,2,10,4,8,1,18,3,8,6,10,194,8,13,10,6,8,7,10,4,8,28,10,4,8,8,10,15,8,10,10,33,4,922,},
{4,810,3,2,14,10,16,3,17,1,14,3,17,1,16,3,14,3,16,3,17,2,16,5,3,2,16,3,3,1,4,50,19,4,4,1,3,1,16,28,17,1,14,5,17,1,16,16,14,16,15,4,8,5,15,1,14,5,15,1,8,1,15,2,14,8,15,3,14,18,17,1,16,2,14,6,17,1,16,8,14,10,16,3,14,8,16,3,14,8,16,10,14,2,16,11,17,2,16,1,17,1,14,1,17,1,16,4,17,1,6,1,17,1,16,80,17,1,16,18,14,1,8,1,10,2,8,1,15,1,17,1,16,46,17,1,16,2,17,2,16,37,17,10,16,12,17,1,14,3,16,7,14,10,17,1,16,3,17,7,16,2,17,1,14,25,15,5,14,83,15,1,8,4,15,1,14,6,15,10,14,11,7,5,14,5,15,2,8,4,15,3,8,7,18,3,8,26,18,1,8,17,10,41,8,2,18,2,8,2,10,5,8,1,10,48,8,14,10,3,8,5,10,8,8,11,10,9,8,4,10,12,8,1,18,2,8,6,10,195,8,15,10,4,8,7,10,8,8,37,10,6,8,1,10,7,8,11,10,2,8,2,10,28,4,922,},
{4,809,18,1,3,2,14,10,16,4,14,4,16,3,14,3,16,3,17,2,16,6,3,1,16,3,3,1,4,1,19,2,4,47,19,4,4,1,3,1,16,28,14,8,16,15,17,1,14,17,15,2,8,6,15,1,14,4,15,2,8,1,15,1,14,7,15,1,8,2,15,1,14,11,17,1,14,4,15,1,14,3,16,1,14,6,17,1,16,8,17,1,14,8,16,3,17,1,14,8,3,1,16,1,17,1,14,7,17,1,16,26,17,2,16,5,17,2,16,100,17,1,15,1,8,2,15,1,14,1,16,47,17,1,16,40,17,1,16,19,17,3,14,1,17,2,16,8,14,7,17,1,16,2,17,2,14,4,17,1,16,4,17,1,14,3,17,4,14,22,15,4,14,15,7,1,14,52,15,3,14,4,15,5,14,3,7,1,15,3,14,8,15,11,14,1,15,1,14,6,7,7,14,4,7,1,8,17,18,2,8,14,10,2,8,8,18,3,8,2,10,1,8,5,10,2,8,5,10,43,8,5,10,55,8,13,10,2,8,7,10,8,8,2,18,1,8,7,10,26,8,2,10,200,8,16,10,3,8,9,10,10,8,46,10,1,8,2,10,3,8,11,10,28,4,922,},
{4,809,18,1,3,2,14,6,15,2,14,2,17,1,16,3,14,4,17,1,16,1,14,4,16,3,17,1,16,9,3,2,18,1,19,3,4,48,19,3,4,1,18,1,16,28,14,10,16,13,17,1,14,17,15,2,8,6,15,1,14,4,15,2,8,1,15,1,14,6,15,1,8,3,15,1,14,10,17,1,16,1,17,1,14,2,15,3,14,2,17,1,14,6,17,1,16,9,14,6,17,1,16,4,14,10,16,1,3,1,14,6,17,1,16,9,17,1,16,17,17,2,16,108,14,4,17,1,16,2,17,2,16,43,17,2,16,37,17,3,16,21,17,1,16,12,14,5,16,5,17,1,14,4,17,1,16,4,14,4,16,4,17,1,14,22,15,3,14,14,7,3,14,6,15,3,14,11,3,1,14,14,3,1,14,14,15,4,14,3,15,2,8,2,15,2,14,4,15,2,14,5,15,2,14,4,15,3,14,2,15,8,14,4,7,5,8,1,7,2,14,3,7,1,8,17,18,2,8,15,10,2,8,7,18,2,8,3,10,1,8,5,10,3,8,4,10,44,8,5,10,54,8,21,10,10,8,3,10,3,8,3,10,62,8,3,10,163,8,17,10,2,8,12,10,7,8,8,10,1,8,39,10,4,8,12,10,26,4,923,},
{4,809,3,3,14,10,17,1,16,2,17,1,14,4,17,1,16,1,14,4,16,13,3,2,4,1,19,4,4,51,18,1,16,28,17,1,14,10,16,13,14,18,15,1,8,3,10,2,8,1,15,1,14,4,15,1,8,3,14,5,15,1,8,4,15,1,14,11,17,1,14,8,17,1,14,6,17,1,16,9,14,5,17,2,16,4,14,9,16,3,14,5,17,2,16,9,14,2,17,1,16,15,17,2,16,108,17,1,14,1,17,1,16,49,17,3,16,2,17,1,16,34,17,1,16,36,14,4,16,5,17,4,16,6,17,1,14,3,17,4,14,41,7,2,14,5,15,5,14,41,15,2,14,4,15,5,14,4,7,1,15,3,14,3,15,2,14,5,15,13,14,3,7,1,14,2,7,7,14,2,7,2,8,34,10,2,8,2,10,2,8,6,10,2,8,5,10,4,8,3,10,4,8,1,10,39,8,5,10,53,8,21,10,18,8,2,10,227,8,18,10,1,8,63,10,1,8,4,10,4,8,12,10,25,4,924,},
{4,809,3,3,14,10,17,1,16,2,14,5,17,1,16,1,17,1,14,3,16,13,3,2,4,1,19,4,4,51,18,1,3,1,16,28,14,7,15,1,14,3,17,1,16,11,17,1,14,18,15,1,8,3,10,1,8,2,15,1,14,3,15,1,8,3,15,1,14,4,15,1,8,4,14,28,17,1,16,9,14,5,17,1,16,2,17,1,16,1,17,3,14,7,16,3,14,4,17,1,16,2,17,1,16,8,14,3,16,4,17,2,16,9,17,2,16,161,17,3,16,1,17,1,16,33,17,3,16,36,17,3,16,15,17,1,14,108,15,3,14,4,15,1,7,1,8,1,15,7,14,5,15,4,14,3,15,7,14,2,7,1,14,3,7,4,8,2,7,4,8,34,10,6,8,6,10,3,8,4,10,7,8,6,10,7,8,2,10,30,8,4,10,38,8,1,10,13,8,21,10,248,8,75,10,9,8,3,10,4,8,11,10,26,4,924,},
{4,809,3,3,14,9,17,1,16,3,14,4,17,1,16,4,14,1,17,1,16,12,3,2,18,1,4,1,19,4,4,52,3,1,16,28,17,1,14,3,17,2,14,7,17,1,16,8,17,1,14,19,15,2,8,5,15,1,14,3,15,1,8,1,10,2,15,1,14,5,15,1,8,2,15,1,14,12,17,2,14,15,17,1,16,8,14,5,16,3,17,3,14,1,17,1,14,6,3,1,16,3,14,4,17,1,16,2,17,3,16,6,14,3,17,1,16,15,17,1,16,182,17,3,16,13,17,2,14,1,17,1,16,39,17,2,16,14,17,1,14,72,15,2,14,33,15,3,14,4,15,1,8,1,15,8,14,5,15,3,14,4,15,7,14,2,7,3,14,2,7,3,8,3,7,4,8,33,10,6,8,5,10,5,8,4,10,6,8,6,10,6,8,3,10,30,8,5,10,51,8,20,10,213,8,3,10,8,8,4,10,21,8,21,10,1,8,53,10,9,8,2,10,5,8,10,10,27,4,924,},
{4,809,3,3,14,9,16,4,17,1,14,3,17,1,16,18,3,2,4,2,19,3,4,53,3,1,16,29,17,2,16,3,17,1,14,7,17,1,16,6,17,1,14,11,3,1,14,10,15,1,8,4,15,1,14,3,15,1,8,1,10,2,8,1,14,11,15,2,14,7,17,1,16,3,17,5,14,11,17,1,16,5,17,1,14,5,16,3,17,1,14,10,3,1,16,2,3,1,14,4,16,3,17,2,16,7,14,3,16,17,17,1,16,182,17,2,16,14,17,3,16,22,17,4,16,8,17,1,16,3,17,1,14,2,17,1,16,5,17,2,16,7,17,1,14,71,15,2,14,40,15,1,7,1,15,5,8,2,15,1,14,5,15,3,14,5,15,6,14,2,7,4,14,2,7,3,8,17,10,6,8,15,10,6,8,5,10,6,8,4,10,6,8,6,10,5,8,5,10,20,8,1,10,10,8,4,10,50,8,20,10,204,8,1,10,7,8,5,10,6,8,6,10,9,8,1,10,10,8,19,10,4,8,26,10,3,8,23,10,16,8,6,10,31,4,924,},
{4,809,3,4,14,7,17,1,16,5,17,3,16,19,3,1,18,1,4,1,19,3,4,54,3,1,16,17,3,1,16,18,17,1,14,2,15,2,14,2,16,5,14,12,3,1,16,1,3,1,14,10,15,2,8,1,15,2,14,3,15,1,8,1,10,2,8,1,15,1,14,9,15,1,8,2,15,1,14,4,17,2,16,6,17,1,16,1,17,1,14,3,17,2,14,7,17,1,16,4,14,6,16,4,17,1,14,9,3,1,16,2,14,5,16,12,17,1,14,1,17,1,16,240,17,1,14,3,17,1,16,6,17,5,16,1,14,3,17,1,16,4,17,1,14,4,17,1,16,5,14,44,7,2,14,25,15,3,14,39,15,1,7,1,14,3,15,2,8,2,15,1,14,5,15,3,14,5,15,5,14,3,7,5,14,1,7,3,8,8,7,1,8,9,10,5,8,15,10,6,8,6,10,1,8,1,10,3,8,5,10,5,8,6,10,5,8,5,10,20,8,2,10,10,8,4,10,50,8,19,10,9,8,3,10,199,8,6,10,6,8,7,10,7,8,2,10,13,8,16,10,4,8,6,10,1,8,19,10,3,8,24,10,15,8,6,10,30,4,2,19,3,4,920,},
{4,809,3,2,16,1,3,1,14,1,17,2,14,5,17,1,16,25,3,2,18,1,19,4,4,54,18,1,3,1,16,13,17,1,14,3,3,1,16,19,14,4,17,1,16,4,14,12,3,1,16,2,3,2,14,10,15,3,14,4,15,1,8,1,10,2,8,2,15,2,14,7,15,1,8,2,15,1,14,3,17,1,16,8,17,2,14,3,17,1,16,3,17,1,14,6,16,3,14,6,17,1,16,4,17,1,14,14,15,1,14,2,16,89,6,1,17,1,16,164,17,4,16,7,17,1,14,1,17,1,16,3,17,1,14,2,16,4,17,1,14,7,16,4,14,26,3,1,16,2,3,1,14,14,7,2,14,25,15,2,14,41,7,1,14,3,15,1,8,3,15,1,14,5,15,2,14,7,15,4,14,3,7,5,14,2,7,4,8,17,10,4,8,3,18,3,8,9,10,6,8,1,18,1,8,6,10,4,8,4,10,4,8,6,10,6,8,5,10,20,8,2,10,10,8,4,10,50,8,3,10,3,8,12,10,9,8,5,10,193,8,10,10,6,8,7,10,23,8,13,10,4,8,29,10,4,8,23,10,15,8,5,10,31,4,2,19,4,4,919,},
{4,808,18,1,3,2,16,2,17,1,16,1,17,1,14,5,17,2,16,24,3,2,4,1,19,4,4,55,18,1,3,1,16,12,14,5,16,27,14,10,17,1,14,1,3,5,14,12,15,1,14,5,15,1,8,7,15,1,14,5,15,1,8,3,15,1,14,3,17,1,16,7,17,1,14,5,17,1,16,4,17,1,14,5,17,1,16,2,14,6,17,1,16,4,17,1,14,3,15,1,14,9,15,2,14,2,16,89,7,2,17,1,16,103,17,1,16,71,17,1,16,12,14,8,17,1,16,1,17,1,14,25,16,4,17,1,14,14,7,2,14,2,7,4,14,13,17,1,14,5,7,1,15,1,14,45,7,1,8,3,15,1,14,5,15,2,14,7,15,4,14,3,7,11,8,24,18,3,8,9,10,6,8,1,18,2,8,5,10,4,8,5,10,3,8,5,10,6,8,6,10,4,8,1,10,15,8,2,10,10,8,4,10,51,8,1,10,5,8,11,10,9,8,5,10,192,8,13,10,2,8,9,10,24,8,8,10,8,8,30,10,5,8,8,10,1,8,2,10,1,8,9,10,15,8,5,10,31,4,2,19,4,4,919,},
{4,808,18,1,3,2,16,2,17,4,14,6,17,1,16,8,17,2,16,13,3,2,4,1,19,4,4,56,3,1,16,11,17,1,14,5,16,26,17,1,14,29,15,1,14,5,15,1,8,7,15,1,14,4,15,1,8,3,15,2,14,3,17,4,16,1,17,2,14,8,16,5,17,1,14,12,17,2,16,5,17,1,14,1,15,2,14,8,15,3,14,2,16,89,7,3,16,101,17,2,16,85,17,1,14,35,16,4,17,1,14,13,7,3,14,1,7,9,14,2,7,5,14,50,15,1,14,4,15,1,8,4,15,1,14,4,15,3,14,6,15,4,14,3,7,12,8,9,15,2,8,13,18,1,8,11,10,4,8,10,10,4,8,5,10,1,8,5,10,7,8,3,10,5,8,3,10,28,8,4,10,56,8,10,10,10,8,4,10,9,8,1,10,183,8,24,10,17,8,5,10,1,8,8,10,9,8,31,10,5,8,7,10,4,8,8,10,15,8,6,10,31,4,2,19,3,4,920,},
{4,805,19,2,4,2,3,2,16,2,17,4,14,6,17,2,16,2,17,2,16,3,17,2,16,13,3,1,18,1,4,1,19,4,4,56,3,1,16,11,17,1,14,5,16,27,14,17,3,5,14,6,15,2,14,6,8,3,10,1,8,2,15,1,14,4,15,2,8,2,15,2,14,4,17,2,14,15,17,2,16,4,17,1,14,8,17,4,16,4,17,1,14,1,15,2,14,6,15,2,8,2,15,1,14,1,16,90,14,1,7,2,16,190,14,32,17,1,16,5,17,1,14,14,7,1,14,2,7,16,14,50,15,3,14,1,15,2,8,4,15,1,14,4,15,3,14,6,15,6,14,3,7,3,8,1,7,8,8,5,7,2,15,2,8,26,10,4,8,9,10,4,8,11,10,5,8,1,10,1,8,1,10,7,8,3,10,28,8,4,10,55,8,11,10,13,8,1,10,4,8,1,10,172,8,2,10,7,8,2,10,5,8,23,10,17,8,6,10,1,8,8,10,8,8,34,10,3,8,7,10,4,8,7,10,15,8,8,10,24,8,2,10,3,4,2,19,4,4,920,},
{4,804,19,4,4,1,18,1,3,1,16,2,14,2,17,1,16,2,17,1,14,4,17,6,16,18,3,1,18,1,4,1,19,4,4,56,18,1,3,1,16,11,6,1,14,3,16,28,17,2,14,15,3,2,16,2,3,3,14,3,15,3,14,6,15,1,8,1,10,2,8,2,14,4,15,2,8,3,15,1,14,12,15,4,14,8,17,1,16,4,14,5,17,1,14,2,17,3,16,6,14,1,15,2,14,5,15,1,8,4,15,1,14,1,16,91,7,2,16,191,17,1,14,29,17,1,16,5,17,1,14,18,7,17,14,48,15,7,8,5,15,1,14,3,15,3,14,6,15,6,14,3,7,2,8,4,7,8,8,3,7,3,15,1,8,27,10,3,8,23,10,18,8,1,10,29,8,3,10,55,8,11,10,192,8,1,10,7,8,3,10,4,8,16,10,2,8,4,10,16,8,17,10,8,8,15,10,1,8,18,10,3,8,6,10,5,8,6,10,16,8,8,10,23,8,1,18,1,8,1,10,3,4,3,19,3,4,920,},
{4,804,19,4,4,1,18,1,3,1,16,1,3,1,14,2,17,1,16,2,17,1,14,5,17,2,14,2,17,1,16,18,3,1,18,1,4,1,19,4,4,57,18,1,3,1,16,10,17,2,14,1,17,1,16,30,17,1,14,10,3,2,14,1,3,3,16,3,3,2,14,3,15,3,14,2,3,2,14,2,15,1,8,1,10,2,8,1,15,1,14,4,15,2,8,4,15,1,14,10,15,1,8,3,15,2,14,8,17,1,16,3,14,2,15,1,14,6,17,2,16,5,17,1,14,1,15,2,14,5,15,1,8,4,15,1,14,1,16,37,17,2,16,53,17,2,16,126,17,3,16,62,17,2,14,27,17,1,16,4,14,20,7,17,14,18,7,1,15,1,14,23,7,1,14,4,15,7,8,5,15,2,14,2,15,3,14,8,15,2,14,1,15,1,14,3,7,2,8,5,7,7,8,3,7,2,8,31,10,3,8,13,10,2,8,5,10,49,8,4,10,54,8,11,10,208,8,15,10,3,8,2,10,9,8,1,10,5,8,19,10,9,8,11,10,4,8,18,10,4,8,4,10,5,8,3,10,18,8,9,10,24,8,3,10,3,4,926,},
{4,804,19,5,4,1,3,2,17,3,16,4,6,1,14,9,17,1,16,17,3,1,18,1,4,1,19,4,4,58,3,1,16,44,17,1,14,9,16,3,3,5,16,2,3,2,14,3,15,2,14,2,3,2,16,1,3,1,14,1,15,1,8,4,14,3,15,4,8,4,15,3,14,7,15,1,8,5,15,1,14,9,17,1,16,1,17,1,14,10,17,1,16,5,17,1,14,2,15,2,14,3,15,1,18,1,8,3,15,1,14,1,3,1,16,2,14,2,16,32,17,1,14,1,17,1,16,54,17,1,6,1,16,125,17,2,16,65,17,1,14,18,17,1,16,2,17,1,14,4,17,1,16,3,14,21,7,17,14,6,7,2,14,10,15,2,14,11,7,1,14,6,7,6,14,5,15,6,8,6,15,6,14,11,15,1,14,3,7,2,8,5,7,7,8,28,10,2,8,6,10,3,8,5,10,2,8,6,10,2,8,4,10,44,8,1,10,5,8,5,10,54,8,10,10,210,8,7,10,3,8,2,10,12,8,4,10,3,8,21,10,9,8,13,10,3,8,17,10,13,8,3,10,18,8,10,10,24,8,1,10,3,4,927,},
{4,804,19,5,4,1,18,1,3,1,16,7,6,1,14,9,17,1,16,17,3,1,18,1,4,1,19,4,4,58,18,1,16,32,17,1,14,1,17,1,16,5,17,3,16,1,17,1,14,9,16,4,14,4,3,1,16,2,3,1,14,3,15,2,14,2,3,1,16,2,3,1,14,2,15,1,8,3,15,1,14,1,18,1,8,3,15,2,8,6,15,4,14,2,15,1,8,3,10,1,8,2,15,1,14,22,17,1,16,5,17,1,14,2,15,3,14,2,15,2,8,1,15,2,14,2,16,3,14,2,16,12,17,2,16,19,17,2,16,54,6,1,7,1,6,1,16,188,17,1,16,4,17,1,14,15,17,1,16,4,14,4,17,1,16,3,14,21,7,17,14,5,7,4,14,9,7,1,15,1,14,10,7,1,15,1,14,6,7,1,15,3,7,2,14,6,15,3,14,1,15,2,8,5,15,5,14,13,7,4,8,5,7,2,8,3,7,3,8,28,10,2,8,7,10,2,8,5,10,3,8,5,10,3,8,2,10,44,8,3,10,4,8,5,10,54,8,10,10,19,8,2,10,88,8,1,10,94,8,3,10,3,8,7,10,16,8,6,10,3,8,8,18,1,8,4,10,2,8,4,10,9,8,17,10,2,8,16,10,12,8,3,10,17,8,11,10,24,8,1,10,2,4,3,19,5,4,920,},
{4,805,19,4,4,1,18,1,3,1,14,1,16,7,17,1,14,8,16,18,3,2,4,1,19,4,4,58,18,1,3,1,16,30,17,1,14,3,16,5,14,1,17,2,16,2,14,8,17,1,16,4,14,5,3,1,16,1,3,1,14,7,3,1,16,2,3,1,14,1,15,2,8,1,15,4,8,14,15,6,8,2,10,2,8,2,14,10,17,3,14,3,15,4,14,2,17,1,16,5,14,2,15,1,8,2,15,1,14,2,15,1,8,2,15,2,14,1,16,4,14,3,16,10,17,1,14,1,17,1,16,19,17,2,16,55,7,2,16,193,17,2,14,13,17,1,16,5,14,5,17,1,16,1,14,22,7,18,14,6,7,1,14,23,7,1,14,6,7,2,15,2,7,2,14,6,15,6,8,6,15,6,14,12,7,2,8,6,7,1,8,13,10,3,8,19,10,2,8,7,10,2,8,5,10,3,8,4,10,51,8,2,10,5,8,4,10,54,8,11,10,9,8,1,10,7,8,3,10,11,8,1,10,172,8,2,10,4,8,7,10,15,8,6,10,3,8,19,10,9,8,17,10,2,8,16,10,12,8,2,10,18,8,11,10,27,4,2,19,6,4,920,},
{4,810,18,1,3,1,14,1,16,8,6,1,14,6,16,16,17,1,16,4,3,1,4,2,19,2,4,59,18,1,3,1,16,29,14,4,16,5,17,1,16,6,14,6,16,4,14,6,17,2,14,8,17,1,16,3,14,1,15,1,8,2,14,2,18,1,8,9,15,2,8,6,15,2,14,1,15,1,8,2,10,3,8,1,14,9,17,1,16,3,14,3,15,1,8,2,15,1,14,2,16,5,14,2,15,1,8,3,15,1,14,2,15,1,8,3,14,1,16,5,14,3,16,10,17,3,16,19,14,2,17,1,16,55,17,1,14,1,6,1,16,190,17,2,14,13,17,2,16,3,17,1,14,7,17,1,14,27,7,1,15,4,14,5,15,2,14,32,7,15,14,3,15,6,8,2,10,3,8,1,15,1,14,1,15,2,8,3,15,1,14,10,7,1,8,20,10,9,8,13,10,3,8,6,10,3,8,6,10,3,8,3,10,59,8,3,10,55,8,10,10,7,8,4,10,7,8,1,10,193,8,5,10,19,8,4,10,3,8,17,10,6,8,2,10,3,8,1,10,5,8,9,10,2,8,18,10,9,8,3,10,5,8,2,10,7,8,1,10,4,8,9,10,2,8,1,10,25,4,2,19,6,4,920,},
{4,810,18,1,3,2,16,8,17,1,14,4,16,17,17,1,14,3,16,2,3,1,18,1,4,62,18,1,3,1,16,15,17,1,16,13,14,2,15,1,14,1,16,13,14,5,16,4,14,6,17,2,14,3,17,1,14,5,16,3,14,1,15,1,8,2,14,2,8,2,10,1,8,7,14,2,15,1,8,5,15,2,14,1,15,2,8,3,10,1,8,1,15,1,14,8,16,4,14,3,8,3,15,1,14,2,16,4,3,1,14,2,8,4,15,1,14,2,15,1,8,2,15,1,14,1,16,5,14,3,17,1,16,30,17,1,14,2,17,1,16,10,17,2,16,44,17,1,14,2,16,13,17,1,16,24,17,1,14,1,16,147,17,2,14,15,17,3,14,39,15,4,14,5,15,3,14,10,15,2,14,20,7,15,15,4,8,6,10,3,8,1,15,1,14,1,15,1,8,4,15,1,14,10,7,1,8,20,10,10,8,12,10,4,8,3,10,5,8,7,10,65,8,3,10,12,8,2,10,45,8,5,10,7,8,3,10,204,8,4,10,9,8,2,10,5,8,7,10,2,8,5,10,3,8,10,10,4,8,3,10,11,8,7,10,2,8,4,10,2,8,8,10,3,8,2,10,8,8,3,10,21,8,3,10,6,8,1,10,25,4,2,19,6,4,920,},
{4,810,18,1,3,2,16,8,17,1,6,1,14,1,17,1,16,18,14,4,3,1,16,1,3,1,18,1,4,62,18,1,3,1,16,29,14,2,15,1,14,2,16,12,14,5,16,5,14,5,16,2,14,3,17,1,14,4,17,1,16,2,17,1,14,1,15,1,8,1,18,1,14,2,8,1,10,3,8,6,15,3,8,5,15,5,8,5,15,1,14,8,17,1,16,2,14,4,15,1,8,1,15,1,14,3,3,1,16,2,3,1,14,2,15,1,8,5,15,4,8,1,14,1,17,1,16,5,14,3,16,18,17,1,16,12,17,1,14,2,16,11,14,2,16,46,14,2,16,35,17,2,14,2,17,1,16,129,17,2,16,6,17,1,16,7,17,2,14,59,15,3,14,5,15,3,14,32,7,15,15,3,8,8,10,2,8,1,15,4,8,2,15,1,14,10,7,2,8,1,7,5,8,10,10,1,8,4,10,1,8,4,10,5,8,12,10,2,8,2,10,8,8,7,10,66,8,3,10,58,8,4,10,215,8,3,10,9,8,14,10,1,8,6,10,3,8,11,10,2,8,4,10,11,8,12,10,4,8,7,10,72,4,2,19,6,4,920,},
{4,810,3,1,16,1,3,1,16,8,17,3,16,19,17,1,14,1,15,1,14,2,16,1,3,1,18,1,4,62,18,1,3,1,16,29,14,2,15,2,14,1,16,12,14,5,16,5,17,1,14,3,16,3,14,8,17,3,14,1,15,1,8,2,15,1,14,1,15,1,8,1,10,3,8,6,15,3,8,4,15,5,8,7,15,1,14,7,17,1,16,1,17,1,14,4,15,3,14,3,3,1,16,1,3,1,14,2,15,2,8,4,15,5,14,2,16,6,14,2,17,1,16,16,17,1,14,2,17,1,16,10,17,2,14,1,17,1,16,7,17,1,14,1,16,1,17,1,14,2,17,1,16,45,17,1,14,2,16,35,14,2,15,1,14,1,16,9,17,1,16,118,17,4,16,5,17,8,14,62,15,4,14,2,15,5,14,35,7,11,8,5,15,4,8,5,15,6,14,10,7,10,8,9,10,1,8,10,10,4,8,15,10,10,8,7,10,66,8,5,10,56,8,3,10,227,8,9,18,1,8,12,10,2,8,4,10,1,8,13,10,11,8,10,10,4,8,8,10,72,4,2,19,6,4,920,},
{4,807,19,2,4,1,3,1,16,11,17,1,16,20,17,1,14,4,3,3,4,62,18,1,3,1,16,15,14,2,16,12,14,1,15,1,8,1,15,1,14,1,16,12,17,1,14,4,16,6,14,2,16,4,14,6,17,3,14,3,15,1,8,1,15,2,14,1,15,1,8,1,10,2,8,9,15,1,8,3,15,4,8,2,15,4,8,3,15,1,14,7,16,3,14,10,3,3,14,2,15,1,8,4,15,3,14,1,15,1,14,2,16,7,17,2,16,17,14,4,16,10,14,2,17,2,16,6,14,4,16,50,14,2,17,1,16,11,17,2,16,21,17,1,14,1,15,1,14,1,16,9,17,1,16,118,17,3,16,6,17,8,14,63,15,3,14,1,15,6,14,6,15,1,14,30,7,9,8,2,15,8,8,4,15,6,14,4,7,2,14,4,7,11,8,20,10,2,8,14,10,12,8,7,10,66,8,6,10,56,8,2,10,227,8,8,18,3,8,11,10,2,8,3,10,3,8,12,10,17,8,4,10,3,8,5,10,2,8,1,10,73,4,2,19,6,4,920,},
{4,806,19,4,18,1,3,3,16,17,17,3,16,10,17,1,14,3,3,3,18,1,4,61,18,1,3,1,16,14,17,1,14,3,16,11,14,1,15,1,8,1,15,1,14,1,16,13,14,4,16,11,14,7,17,1,16,1,17,1,14,2,15,1,8,2,15,1,14,1,15,1,8,10,15,1,8,2,15,1,8,3,15,3,8,3,15,1,14,3,8,3,15,1,14,2,17,2,14,3,16,3,3,1,14,9,3,3,14,2,15,2,8,2,15,1,14,6,17,1,16,24,17,3,14,1,17,1,16,11,14,4,16,6,14,4,16,43,17,1,16,6,14,3,16,11,17,1,14,1,17,1,16,21,14,1,15,1,14,1,16,129,17,1,16,7,17,1,16,2,17,7,14,49,15,3,14,10,15,1,14,5,15,3,14,5,15,3,14,4,15,2,7,1,14,27,7,3,15,1,8,2,15,1,14,8,15,1,8,2,15,5,14,5,7,2,14,3,7,2,8,1,7,9,8,37,10,12,8,5,10,33,8,1,10,34,8,5,10,3,8,3,10,50,8,2,10,197,8,2,10,27,8,9,18,3,8,16,10,3,8,13,10,18,8,10,10,3,8,4,10,69,4,2,19,6,4,920,},
{4,806,19,4,18,1,3,3,16,9,17,1,16,4,17,3,14,4,16,12,3,5,18,1,4,61,3,1,16,14,17,1,14,1,15,1,14,1,16,11,14,2,8,1,15,1,14,1,16,5,17,1,14,1,17,1,16,5,14,4,16,7,17,1,16,2,14,8,17,1,16,2,14,2,15,1,8,2,15,1,14,1,15,1,8,9,15,2,8,6,15,3,8,3,15,1,14,3,8,3,15,1,14,1,17,1,16,2,14,3,16,3,17,1,14,10,3,2,14,3,15,2,8,1,15,1,14,6,17,1,16,22,17,1,14,3,16,1,17,1,16,12,14,5,16,6,14,3,16,6,14,1,17,1,16,33,6,1,17,1,16,7,17,2,16,13,17,1,16,22,14,1,8,1,7,1,16,142,17,6,14,2,17,1,14,45,15,2,14,18,15,2,14,5,15,2,14,5,15,2,7,4,14,25,7,1,14,1,15,3,14,9,15,2,8,1,15,5,14,5,7,3,14,2,7,1,8,2,7,9,8,37,10,16,8,1,10,33,8,2,10,13,8,1,10,19,8,4,10,3,8,5,10,59,8,1,10,187,8,3,10,26,8,11,18,1,8,34,10,18,8,9,10,3,8,6,10,67,4,2,19,6,4,920,},
{4,712,18,1,19,1,4,92,19,4,4,1,18,2,3,2,16,8,17,3,14,4,17,2,14,4,16,12,3,2,16,2,3,1,18,1,4,60,18,1,3,1,16,14,14,1,15,2,17,1,16,11,14,1,15,2,14,1,16,5,17,1,14,1,16,6,14,4,16,6,17,1,14,12,16,2,14,2,15,1,8,2,14,2,18,1,8,2,15,2,8,5,15,3,8,6,15,2,8,3,14,4,15,1,8,2,15,1,14,1,17,1,16,2,14,3,17,1,16,2,14,11,3,2,14,3,15,3,14,7,16,5,17,2,16,16,14,4,16,14,17,1,14,2,15,2,14,1,16,6,14,1,17,1,16,6,14,2,16,32,17,1,14,1,17,1,16,6,17,2,16,37,14,1,8,1,7,1,16,142,17,9,14,45,15,1,14,19,15,2,14,14,7,5,14,13,7,2,14,1,7,9,14,2,15,2,14,10,15,1,8,2,15,2,14,1,15,1,14,6,7,5,8,2,7,9,8,21,10,1,8,16,10,49,8,2,10,13,8,2,10,25,8,5,10,12,8,6,10,30,8,1,10,198,8,4,10,24,8,38,10,1,8,11,10,4,8,4,10,6,8,10,10,2,8,7,10,67,4,2,19,6,4,920,},
{4,712,3,2,4,92,19,5,4,2,18,1,3,1,16,8,17,2,14,4,17,3,14,4,16,12,14,1,3,1,16,3,3,1,4,61,3,1,16,14,14,1,15,2,14,1,16,4,14,2,16,5,14,4,16,13,14,5,16,5,14,10,15,1,14,2,17,2,14,2,15,1,8,2,14,2,8,3,15,2,8,6,15,2,8,11,14,4,15,1,8,2,15,1,14,2,17,2,14,4,17,1,14,4,15,1,14,2,15,2,14,3,3,3,14,3,15,2,14,7,17,1,16,3,14,3,17,1,16,15,14,4,17,1,16,14,14,1,15,1,8,2,14,1,16,7,14,1,17,1,16,5,14,2,17,1,16,32,17,1,16,7,14,2,16,37,14,1,15,1,7,1,16,131,17,3,16,1,17,17,14,25,17,1,16,3,14,52,7,3,14,13,7,15,15,2,14,3,15,3,14,3,15,2,8,3,7,1,14,1,7,3,14,4,7,16,8,16,18,1,8,3,10,3,8,15,10,49,8,2,10,13,8,2,10,25,8,5,10,12,8,6,10,29,8,2,10,186,8,1,10,10,8,6,10,22,8,16,10,3,8,20,10,2,8,22,10,1,8,10,10,2,8,8,10,1,8,1,10,65,4,2,19,6,4,920,},
{4,712,3,2,4,93,19,5,4,1,18,1,3,4,16,5,17,1,14,4,6,1,17,1,16,2,17,1,14,3,17,1,16,11,14,1,3,1,16,3,3,1,4,61,18,1,3,1,16,13,14,1,15,2,17,1,16,4,14,2,16,5,14,3,16,14,14,5,16,4,17,1,14,10,15,2,14,2,17,1,14,2,15,3,14,2,8,3,15,2,8,6,15,3,8,9,15,1,14,2,17,1,14,2,8,2,15,1,14,8,3,1,14,3,15,6,14,3,3,2,14,10,15,1,14,2,17,1,16,2,14,4,17,1,16,16,14,5,17,1,16,12,17,1,15,1,8,2,15,1,16,7,14,2,17,1,16,4,17,1,14,1,17,1,16,40,14,2,16,37,14,1,7,2,16,86,17,2,16,43,17,21,14,19,16,10,17,1,14,37,15,3,14,5,15,2,14,22,7,13,15,2,14,2,15,6,14,1,15,2,8,3,14,2,7,1,8,1,7,1,14,4,7,17,8,14,18,2,8,3,10,3,8,15,10,65,8,1,10,25,8,5,10,12,8,6,10,28,8,3,10,158,8,3,10,36,8,7,10,4,8,9,10,6,8,8,18,2,8,8,10,4,8,19,10,2,8,22,10,1,8,10,10,2,8,2,18,1,8,10,10,62,4,2,19,6,4,920,},
{4,712,3,2,4,100,3,5,16,4,17,1,14,4,17,1,16,4,14,3,16,12,14,1,3,1,16,4,18,1,4,60,18,1,3,1,16,13,14,3,16,5,14,2,17,1,16,3,14,3,16,15,14,5,16,5,14,10,15,2,14,5,15,3,14,2,8,2,15,3,8,6,15,1,14,1,15,1,8,9,15,1,14,1,3,1,17,1,14,2,8,3,14,6,17,2,3,1,14,2,15,2,8,2,15,2,14,15,15,2,14,2,17,1,16,2,14,4,16,18,14,6,16,12,14,1,15,2,14,1,16,6,14,4,16,5,14,1,17,1,16,40,17,1,14,2,16,36,17,1,14,2,16,86,17,2,16,43,17,21,14,3,17,2,14,13,17,1,16,10,17,1,14,32,15,1,14,4,15,3,14,5,15,2,14,25,7,10,15,6,8,1,15,6,8,2,15,1,14,2,7,1,8,1,7,1,14,4,7,17,8,19,10,4,8,14,10,91,8,5,10,13,8,5,10,22,8,9,10,157,8,4,10,35,8,8,10,4,8,10,10,4,8,9,18,3,8,7,10,4,8,42,10,3,8,9,10,2,8,14,10,61,4,2,19,6,4,920,},
{4,712,18,1,3,1,4,100,18,1,3,1,18,1,3,2,16,4,14,4,6,1,17,1,16,4,14,3,16,12,14,2,16,4,3,1,4,60,18,1,3,1,16,13,17,1,14,2,16,5,17,1,14,2,16,3,14,3,16,16,14,5,16,4,17,1,14,5,17,2,14,3,15,1,14,5,15,2,14,3,18,1,8,1,15,3,8,6,15,1,14,2,8,9,15,1,14,2,3,1,14,2,8,3,15,1,14,4,17,1,16,1,17,1,14,3,15,2,8,2,15,2,14,14,15,3,14,2,17,1,16,1,17,1,14,3,17,1,16,18,17,1,14,5,17,1,16,11,14,3,17,1,16,6,14,4,16,6,17,1,16,41,14,3,16,12,17,1,16,22,17,1,14,2,16,86,17,2,16,45,17,1,16,2,17,6,16,9,17,1,14,2,17,6,14,10,17,1,16,10,14,32,15,2,14,4,15,1,8,1,15,2,14,4,15,1,14,28,7,8,15,5,8,3,15,5,8,1,15,2,14,2,7,1,8,1,7,2,14,3,7,17,8,19,10,6,8,12,10,33,8,2,10,57,8,4,10,14,8,4,10,21,8,10,10,156,8,5,10,34,8,11,10,1,8,12,10,2,8,11,18,2,8,7,10,5,8,38,10,7,8,9,10,1,8,5,10,3,8,6,10,61,4,2,19,6,4,920,},
{4,712,18,1,3,1,4,103,18,1,3,5,14,4,17,2,16,3,17,1,14,3,16,12,14,2,3,1,16,3,3,1,18,1,4,59,18,1,3,1,16,12,17,3,16,7,14,2,16,3,14,3,16,6,3,1,16,10,14,4,16,6,14,4,16,1,17,1,14,10,15,1,14,3,8,2,15,3,8,7,15,1,14,1,15,1,8,1,15,3,8,4,15,1,14,5,15,1,8,1,15,1,14,5,17,2,3,1,14,3,15,5,14,15,15,1,8,1,15,2,14,2,16,1,17,4,16,13,17,2,16,5,14,5,17,1,16,11,17,1,14,2,16,7,14,3,16,7,17,1,16,41,14,3,17,1,16,34,17,1,14,1,6,1,16,137,17,3,16,11,17,1,14,2,17,6,14,11,17,1,16,7,14,11,15,3,14,19,15,3,14,4,15,1,8,2,15,3,14,34,7,1,15,9,8,3,15,5,7,3,14,2,7,1,8,1,7,2,14,3,7,15,8,13,10,3,8,8,10,14,8,1,10,33,8,2,10,57,8,4,10,15,8,4,10,20,8,6,10,2,8,4,10,154,8,4,10,34,8,12,10,1,8,7,18,2,8,3,10,1,8,22,10,3,8,38,10,8,8,9,10,2,8,4,10,3,8,5,10,62,4,2,19,6,4,920,},
{4,712,3,2,4,104,18,1,3,4,14,4,17,3,16,1,17,1,14,2,15,1,14,1,16,13,14,2,16,3,3,1,18,1,4,59,18,1,3,1,16,10,17,3,16,9,17,1,14,1,17,1,16,2,14,3,16,6,14,1,3,1,16,10,14,3,17,1,16,6,14,1,17,2,16,1,17,1,14,5,15,5,14,4,8,2,15,3,8,7,15,4,14,2,15,1,8,5,15,1,14,4,15,3,14,10,15,4,14,6,15,4,14,6,15,1,8,3,15,1,14,4,17,1,16,15,17,2,16,5,17,1,14,4,16,13,17,1,16,9,14,1,17,1,16,7,14,1,16,41,14,4,16,12,17,2,16,20,14,2,17,1,16,136,17,1,14,1,17,3,16,7,17,4,14,3,17,1,16,3,17,2,14,8,17,1,14,3,3,1,16,3,17,1,14,11,15,5,14,17,15,3,14,5,15,2,8,3,15,2,14,32,15,11,8,2,15,4,7,4,14,2,7,5,14,2,7,9,14,1,7,4,8,15,10,3,8,10,10,4,8,3,10,6,8,1,10,15,8,3,10,13,8,3,10,29,8,2,10,28,8,3,10,16,8,2,10,20,8,5,10,161,8,4,10,33,8,20,18,4,8,66,10,7,8,11,10,3,8,2,10,3,8,5,10,62,4,2,19,6,4,920,},
{4,712,3,2,4,105,18,1,3,2,14,3,17,6,6,1,14,2,15,1,14,1,16,14,3,2,16,3,18,1,4,59,18,1,16,11,17,1,16,12,14,1,17,1,16,3,14,3,16,5,14,3,16,9,14,4,16,6,17,5,14,5,15,2,8,2,15,1,14,3,15,1,8,2,15,7,8,5,15,1,14,4,8,6,15,7,14,9,15,5,14,4,15,2,8,2,15,2,14,6,8,5,15,1,14,4,16,7,17,3,16,13,17,1,14,2,17,1,16,5,14,2,17,1,16,4,17,1,14,1,16,17,17,1,14,1,17,1,16,16,17,1,6,1,17,1,16,6,6,1,16,14,17,1,14,1,15,1,14,2,16,11,14,1,17,2,16,18,17,1,14,2,17,1,16,130,17,6,14,4,17,11,14,4,17,2,16,1,17,6,14,4,17,1,16,1,14,4,3,1,16,2,14,12,15,1,8,3,15,1,14,16,15,4,14,5,15,2,8,4,15,1,14,6,15,2,7,6,15,3,7,1,14,13,15,11,8,3,15,4,7,1,8,1,7,1,14,2,7,11,14,3,7,3,14,1,7,3,8,37,10,4,8,5,10,12,8,4,10,11,8,3,10,30,8,2,10,28,8,3,10,16,8,3,10,19,8,4,10,163,8,3,10,32,8,21,18,4,8,21,18,1,8,46,10,4,8,5,10,2,8,17,10,5,8,1,10,51,8,3,10,3,4,4,19,4,4,920,},
{4,712,3,2,4,106,18,1,3,3,16,4,17,1,14,4,15,2,14,1,16,14,14,1,3,1,16,3,3,1,4,59,3,1,16,11,17,1,16,12,14,2,16,3,17,1,14,2,16,4,3,1,14,3,16,9,14,4,17,1,16,6,17,3,14,5,15,2,8,3,14,4,18,1,8,2,15,7,8,5,15,1,14,4,8,7,15,3,8,2,15,3,14,7,15,4,14,5,15,1,8,4,15,1,14,6,8,4,15,2,14,5,16,5,17,1,14,2,17,1,16,14,17,1,14,1,16,5,14,6,16,1,17,3,16,18,14,1,17,1,16,16,17,1,14,1,6,1,16,6,14,1,17,1,16,14,14,1,15,2,14,1,17,1,16,10,17,1,6,1,17,1,16,18,17,1,14,2,17,1,16,130,17,6,14,4,17,11,14,4,17,10,14,3,17,2,14,3,3,1,16,2,14,13,15,2,8,1,15,2,14,17,15,2,14,6,15,2,8,5,15,1,14,5,15,2,7,6,15,3,7,2,14,11,15,4,14,1,15,12,14,1,15,2,7,15,14,3,7,2,14,2,7,3,8,38,10,4,8,6,10,11,8,2,10,13,8,3,10,28,8,5,10,14,8,1,10,12,8,3,10,37,8,3,10,165,8,1,10,33,8,22,18,1,8,8,18,1,8,61,10,3,8,5,10,4,8,15,10,6,8,1,10,52,8,1,10,4,4,4,19,5,4,919,},
{4,821,18,1,3,2,16,4,14,2,7,1,15,2,14,4,16,12,14,3,16,4,3,1,18,2,4,56,18,1,3,1,16,23,14,2,16,2,14,4,16,2,17,1,14,3,16,9,17,1,14,5,17,1,16,6,17,1,14,1,17,1,14,4,15,1,8,4,15,1,14,3,15,1,8,3,15,1,14,2,15,1,8,8,15,5,8,7,15,2,8,6,14,8,15,2,14,7,15,1,8,1,10,2,8,1,15,1,14,5,15,1,8,2,15,2,14,2,15,3,14,3,17,1,16,2,17,1,14,2,16,9,17,2,16,5,14,2,17,1,16,3,17,1,14,1,15,2,14,5,17,1,16,37,17,1,14,1,17,1,16,12,17,1,16,8,14,1,15,2,14,1,17,1,16,11,17,2,16,19,17,1,6,1,17,1,16,131,17,3,16,2,17,25,16,3,17,3,14,5,16,4,14,14,15,3,14,17,15,3,14,6,15,2,8,6,15,2,14,20,15,1,14,1,15,2,14,11,15,3,14,1,15,4,7,8,8,3,7,11,14,4,7,2,8,28,10,2,8,10,10,7,8,3,10,26,8,3,10,28,8,1,18,2,8,1,10,14,8,2,10,11,8,4,10,35,8,4,10,12,8,4,10,101,8,1,10,81,8,31,18,1,8,2,18,4,8,54,10,5,8,5,10,4,8,7,10,3,8,3,10,65,4,5,19,4,4,919,},
{4,822,18,1,3,1,16,4,14,1,15,1,7,1,14,8,16,11,14,1,16,7,3,1,18,2,4,54,18,1,3,1,16,6,17,1,14,2,16,2,17,2,16,5,17,1,16,4,14,7,17,1,16,1,17,1,14,4,16,9,14,6,17,1,16,7,17,1,16,1,14,3,15,2,8,4,14,4,15,1,8,3,15,1,14,2,15,1,8,8,15,2,8,9,15,3,8,6,15,1,14,6,15,3,14,6,15,1,8,2,10,2,8,1,15,2,14,4,15,2,8,1,15,1,14,3,15,4,14,4,16,1,17,1,14,2,16,9,14,2,16,5,14,3,16,4,14,1,15,3,14,3,17,1,16,39,17,2,16,12,17,1,16,8,14,2,15,1,14,2,16,12,17,1,16,19,17,2,16,16,17,1,16,115,17,2,16,7,17,12,16,3,17,8,16,5,14,3,16,5,3,1,14,42,15,4,8,5,15,2,14,16,7,1,15,6,14,9,15,3,14,7,7,1,14,4,7,2,8,4,7,11,14,4,7,2,8,2,7,3,8,23,10,2,8,3,18,2,8,6,10,4,8,6,10,25,8,5,10,26,8,4,10,14,8,2,10,12,8,1,18,1,8,2,10,33,8,4,10,13,8,4,10,126,8,1,10,55,8,5,10,5,8,25,18,4,8,12,10,3,8,38,10,6,8,7,10,4,8,5,10,3,8,4,10,64,4,5,19,4,4,919,},
{4,822,18,1,3,1,16,3,17,1,14,1,15,1,14,2,17,1,16,1,14,6,17,1,16,18,3,2,18,1,4,54,3,1,16,6,6,1,14,3,17,1,14,2,16,4,17,1,14,2,16,2,17,1,14,5,17,3,16,1,14,6,16,8,14,5,17,1,16,11,14,3,15,2,8,2,15,1,14,4,8,3,15,1,14,3,15,1,8,9,15,1,8,3,15,1,8,5,15,3,18,1,8,5,15,1,14,5,15,1,8,2,15,1,14,5,15,1,8,2,10,3,8,1,15,1,14,5,15,2,8,1,15,1,14,3,15,5,14,5,17,1,14,1,16,9,14,1,17,1,16,4,17,1,14,3,16,4,14,6,17,1,16,64,14,1,15,1,14,2,17,1,16,11,17,2,16,153,17,1,16,7,17,12,16,3,17,2,14,4,17,2,16,14,14,30,15,1,14,11,15,10,14,31,15,4,14,13,7,8,14,3,7,6,14,5,7,6,8,23,10,1,8,22,10,28,8,2,10,26,8,5,10,13,8,2,10,12,8,4,10,33,8,4,10,13,8,4,10,181,8,2,10,11,8,24,18,3,8,12,10,3,8,37,10,8,8,5,10,5,8,4,10,4,8,5,10,64,4,3,19,5,4,919,},
{4,823,18,1,3,1,16,3,14,4,16,3,14,6,16,20,18,1,4,53,18,1,3,1,16,6,14,7,17,1,16,3,17,1,14,3,17,1,14,5,16,4,17,1,14,3,15,1,14,3,3,1,16,6,14,5,17,1,16,8,17,1,16,1,17,1,14,3,15,2,8,2,18,1,14,4,8,3,15,1,14,3,8,12,15,3,8,5,15,5,8,4,15,1,14,4,15,1,8,4,14,2,3,1,14,1,15,1,8,2,10,4,8,1,15,3,14,4,15,4,14,2,15,7,14,5,16,9,17,2,16,5,17,1,14,1,17,1,16,5,17,1,14,3,17,1,16,65,17,1,14,5,17,2,16,7,17,3,16,161,17,6,14,5,17,1,16,3,17,2,14,5,17,1,16,14,17,1,14,2,17,1,14,24,15,4,14,11,15,9,14,31,15,5,14,12,7,6,14,5,7,6,14,6,7,4,8,11,7,2,15,1,8,9,10,1,8,17,18,1,8,5,10,56,8,1,18,3,8,4,10,10,8,1,10,14,8,2,10,34,8,5,10,197,8,2,10,12,8,25,18,1,8,50,10,10,8,6,10,4,8,4,10,3,8,6,10,64,18,1,4,2,19,5,4,919,},
{4,824,3,1,16,3,3,2,14,2,16,2,3,1,14,2,15,2,14,2,17,1,16,19,3,1,18,1,4,52,3,1,16,7,17,1,14,6,17,1,16,3,17,1,14,3,17,1,14,5,16,4,14,3,15,2,14,3,3,1,16,6,14,5,17,1,16,7,17,1,14,6,15,2,8,2,18,1,14,4,8,3,15,1,14,3,8,11,18,1,15,3,8,4,15,1,18,2,15,1,18,1,15,2,8,3,15,1,14,4,8,4,15,1,14,2,3,1,14,1,15,1,10,6,8,2,15,2,14,5,15,3,14,2,15,2,8,5,15,1,14,4,17,1,16,6,17,1,14,2,17,2,16,4,17,2,16,8,17,2,16,67,17,1,14,6,17,1,16,6,14,3,16,161,17,6,14,5,17,1,16,3,17,2,14,5,17,1,16,18,17,1,14,23,15,4,14,11,15,9,14,32,15,5,14,3,7,4,14,4,7,4,14,7,7,6,14,1,7,1,14,5,7,2,8,12,15,4,18,1,8,6,10,2,8,16,18,3,8,2,10,58,8,2,18,5,8,1,10,61,8,5,10,183,8,1,10,13,8,1,10,13,8,11,10,1,8,64,10,10,8,7,10,3,8,4,10,3,8,7,10,64,4,2,19,5,4,919,},
{4,824,18,1,3,1,16,3,3,2,14,1,3,2,14,3,15,2,14,2,17,1,16,7,17,1,14,1,17,1,16,7,3,1,16,1,3,2,18,1,4,51,3,1,16,10,14,4,17,1,16,7,17,1,14,4,17,1,16,4,17,1,14,7,3,1,16,5,14,6,16,8,14,7,15,3,8,1,18,1,14,3,18,1,8,2,15,1,14,3,15,1,8,11,15,3,18,1,8,2,18,2,15,1,8,3,18,1,15,1,8,3,15,1,14,3,15,1,8,5,15,1,14,2,3,1,14,1,8,1,10,7,8,2,15,1,14,5,15,1,8,1,15,4,8,7,15,1,14,5,3,1,16,4,14,2,17,1,16,1,17,1,16,48,17,1,16,37,14,5,17,1,16,5,17,1,14,3,16,157,17,9,14,5,17,8,14,3,17,1,16,14,14,2,17,1,16,1,17,1,14,10,17,2,14,10,15,5,14,12,15,5,8,2,15,3,14,32,15,5,7,6,14,3,7,3,14,6,7,4,14,1,7,5,14,5,7,3,8,2,7,2,8,7,15,4,18,1,8,12,10,4,8,9,18,1,8,3,10,60,8,1,18,2,8,1,18,1,8,1,10,16,8,2,10,5,8,1,10,37,8,6,10,3,8,3,10,86,8,2,10,65,8,4,10,47,8,11,10,1,8,3,18,1,8,59,10,12,8,13,10,3,8,7,10,64,4,2,19,5,4,919,},
{4,825,3,2,16,3,3,1,14,10,16,9,17,1,14,2,16,5,3,3,16,2,3,1,4,51,18,1,3,1,16,9,14,3,17,1,16,9,14,4,16,5,17,1,14,7,3,1,16,5,14,6,16,8,14,1,15,1,14,3,15,5,8,1,18,2,14,1,18,2,8,2,15,1,14,3,15,1,8,11,15,2,18,1,8,4,18,1,8,4,18,1,15,1,8,2,15,2,14,2,15,1,8,4,15,2,14,5,8,1,10,2,8,3,10,3,8,1,15,1,14,2,3,2,14,1,15,1,8,3,15,1,8,3,10,3,8,2,15,1,14,7,16,2,17,1,14,2,17,1,16,88,17,1,14,5,16,6,17,1,14,2,17,1,16,5,17,1,14,2,17,1,16,146,17,10,14,4,17,6,16,1,17,7,16,12,14,15,17,3,14,6,17,1,14,4,15,4,14,13,15,3,8,4,15,2,14,33,15,1,8,1,15,2,7,5,14,4,7,3,14,5,7,5,14,1,7,5,14,5,7,6,8,10,18,1,15,2,18,2,8,9,10,5,8,6,10,1,8,5,10,63,18,1,8,1,18,1,8,1,10,16,8,2,10,5,8,2,10,38,8,10,10,85,8,3,10,64,8,5,10,47,8,15,18,1,8,59,10,12,8,13,10,4,8,6,10,65,4,2,19,4,4,919,},
{4,826,18,1,3,4,14,10,16,10,14,3,16,10,18,1,4,51,3,1,16,10,17,1,16,11,14,3,16,7,14,7,3,1,16,4,14,7,16,8,14,1,15,1,14,2,15,6,8,2,18,4,8,2,15,2,14,2,15,2,8,10,15,2,18,1,8,4,18,1,8,5,18,1,8,2,15,2,14,2,8,2,10,1,8,2,14,6,15,1,8,1,10,1,8,4,10,3,8,1,18,1,14,2,3,2,14,1,15,1,8,6,10,5,8,1,15,1,14,12,16,90,14,5,17,1,16,6,14,3,16,5,14,2,15,1,14,1,17,1,16,35,17,3,16,105,17,9,14,1,17,2,14,5,17,1,14,1,17,3,16,4,17,5,16,9,3,1,14,17,17,2,14,5,17,1,14,5,15,3,14,14,15,3,8,5,15,2,14,17,15,2,14,13,15,1,8,1,15,2,7,5,14,5,7,2,14,4,7,6,14,1,7,5,14,4,7,7,8,11,15,2,18,2,8,9,10,5,8,6,10,2,8,4,10,62,8,1,18,1,8,2,18,1,10,23,8,2,10,11,8,2,10,28,8,6,10,152,8,7,10,35,8,1,10,2,8,2,10,5,8,11,10,1,8,7,10,1,8,11,10,2,8,10,10,3,8,29,10,15,8,5,10,4,8,1,10,5,8,7,10,64,4,2,19,4,4,919,},
{4,829,18,1,3,3,14,2,3,2,14,4,16,3,17,1,16,7,14,1,17,1,16,10,3,1,18,1,4,50,18,1,3,1,16,21,17,2,16,8,14,1,17,1,14,6,16,2,3,2,14,3,15,1,14,3,16,8,14,5,15,4,8,3,18,4,8,1,15,4,14,2,15,2,8,9,18,2,8,11,18,1,8,3,15,1,14,1,15,1,8,2,10,1,8,1,15,1,14,6,15,1,8,3,18,1,8,2,10,3,8,1,15,1,14,2,3,2,14,2,8,6,10,5,8,1,18,1,14,4,15,2,14,6,16,18,17,2,16,70,14,6,16,6,14,4,16,4,17,1,14,2,15,1,14,1,17,1,16,34,14,3,16,104,17,9,14,12,17,3,16,2,17,3,14,2,17,4,16,2,3,1,14,1,3,2,14,24,17,2,14,22,15,3,8,5,15,2,14,17,15,1,14,14,7,1,8,1,7,7,14,8,7,15,14,3,7,3,14,1,7,3,8,12,18,1,15,2,8,11,10,3,8,7,10,2,8,4,10,62,8,1,18,1,8,2,18,1,8,1,10,34,8,4,10,27,8,4,10,154,8,7,10,35,8,7,10,3,8,8,10,3,8,20,10,3,8,8,10,5,8,11,10,2,8,10,10,1,8,3,10,17,8,3,10,12,8,6,10,64,4,2,19,4,4,919,},
{4,830,18,1,3,4,16,1,3,1,14,3,3,1,16,3,17,1,16,7,17,2,16,11,3,1,4,51,18,1,16,14,17,2,16,18,3,1,14,4,3,2,14,4,15,2,14,3,16,8,14,6,15,2,18,1,8,3,18,4,15,6,14,3,15,1,8,8,18,1,8,11,18,2,8,4,15,2,8,4,14,5,15,1,14,1,15,1,8,2,18,1,15,1,18,1,8,1,10,2,8,1,18,1,14,3,3,2,14,1,15,1,8,3,15,1,8,2,10,5,8,1,18,1,14,4,18,1,8,1,15,1,14,5,16,16,14,4,17,1,16,16,17,1,16,53,14,6,16,5,14,5,16,5,14,2,15,1,14,1,16,33,17,1,14,4,16,102,17,10,14,13,17,5,14,13,3,1,14,49,15,2,8,4,15,2,14,33,7,9,14,8,7,15,14,3,7,7,8,9,10,1,8,3,15,2,8,2,10,2,8,7,10,2,8,8,10,5,8,5,10,22,8,1,10,35,8,1,18,1,8,2,18,1,8,2,10,33,8,6,10,26,8,2,10,154,8,7,10,35,8,8,10,5,8,5,10,4,8,8,10,1,8,11,10,4,8,7,10,5,8,9,10,8,8,6,10,36,8,6,10,64,4,2,19,4,4,919,},
{4,832,3,2,16,2,3,1,14,4,3,1,16,11,17,1,16,11,3,1,18,1,4,50,18,1,3,1,16,13,17,2,16,18,3,1,14,10,15,2,14,2,17,1,16,8,17,1,14,1,17,1,14,4,15,2,8,2,18,2,14,2,18,1,14,1,15,5,14,3,15,1,8,20,18,2,8,5,15,2,8,2,15,1,14,5,15,1,14,1,15,1,8,2,18,2,8,2,10,2,8,1,15,1,14,6,15,1,8,2,15,2,18,1,8,2,10,4,8,2,15,1,14,2,15,1,8,3,15,2,14,4,16,3,17,1,14,1,17,1,16,8,14,3,15,1,14,2,16,5,17,1,16,64,14,8,17,1,16,2,17,1,14,1,17,1,14,2,17,1,16,5,14,3,17,1,16,25,17,4,16,3,17,1,14,4,16,102,17,10,14,14,17,1,14,67,15,6,14,34,15,1,7,8,14,6,7,17,14,2,7,2,8,2,7,3,8,10,10,2,8,2,18,2,8,2,10,3,8,5,10,4,8,6,10,5,8,7,10,10,8,2,10,8,8,3,10,34,8,1,18,2,8,1,18,2,8,2,10,32,8,8,10,13,8,2,10,9,8,2,10,154,8,7,10,35,8,7,10,8,8,3,10,4,8,7,10,1,8,12,10,4,8,7,10,5,8,8,10,9,8,5,10,22,8,4,10,13,8,3,10,4,8,1,10,51,8,1,10,8,4,2,19,4,4,919,},
{4,832,18,1,3,2,16,1,3,1,14,4,16,12,17,1,16,11,3,2,18,1,4,49,18,1,3,1,16,13,17,4,16,16,14,11,15,1,14,3,16,12,17,1,14,3,15,1,18,2,8,1,18,1,14,4,15,7,14,3,8,14,18,1,8,5,18,2,15,1,8,4,15,4,14,9,15,1,8,1,18,1,8,3,10,1,8,1,18,1,14,7,8,2,15,3,18,1,8,2,10,4,8,2,18,1,15,1,18,1,8,5,15,2,14,11,16,6,14,2,15,3,14,1,16,32,14,2,16,38,14,9,17,1,16,3,17,1,14,1,17,1,16,5,14,3,16,24,17,1,14,6,17,1,14,6,16,98,17,13,14,85,15,2,14,30,15,6,7,10,14,2,7,19,14,1,7,2,8,16,10,1,8,7,10,3,8,4,10,5,8,6,10,5,8,6,10,12,8,1,10,8,8,4,10,34,8,1,18,5,8,1,10,33,8,9,10,10,8,5,10,7,8,1,10,50,8,2,10,104,8,6,10,4,8,1,10,29,8,8,10,9,8,2,10,4,8,5,10,3,8,12,10,5,8,8,10,3,8,7,10,11,8,4,10,21,8,6,10,71,8,4,10,5,4,2,19,4,4,919,},
{4,833,18,1,3,3,14,4,16,11,17,1,14,2,16,10,3,2,18,1,4,49,18,1,14,1,16,14,17,2,16,16,17,1,14,15,16,13,14,4,15,1,18,3,14,4,15,8,14,2,8,5,18,2,8,6,18,2,8,5,18,2,15,1,8,4,15,3,14,10,15,1,18,2,8,5,18,1,14,6,15,1,8,2,18,1,15,1,14,1,18,1,8,2,10,4,8,2,18,2,8,7,15,1,14,6,17,2,14,4,16,4,17,1,14,1,15,4,14,1,16,20,17,2,16,8,17,1,14,3,16,38,17,1,14,9,16,4,14,1,17,1,16,6,14,1,17,1,16,24,17,3,14,11,16,98,17,12,14,56,15,3,14,16,15,4,14,40,15,5,7,4,8,3,7,11,14,1,7,15,8,24,10,3,8,3,10,7,8,5,10,4,8,6,10,22,8,3,10,35,8,1,18,2,8,1,18,2,8,1,10,36,8,7,10,9,8,6,10,56,8,3,10,104,8,6,10,33,8,9,10,10,8,1,10,5,8,2,10,5,8,13,10,4,8,17,10,8,8,1,10,4,8,3,10,21,8,7,10,70,8,5,10,5,4,2,19,3,4,919,},
{4,833,18,1,3,4,14,3,16,4,14,2,17,1,16,3,17,3,16,2,17,1,16,7,3,5,4,49,15,1,16,13,17,2,16,17,14,15,16,4,17,1,14,2,16,7,3,1,14,5,18,2,14,3,18,1,8,2,15,3,8,2,15,1,14,2,15,1,8,4,15,2,8,5,18,4,8,10,15,1,14,1,15,5,14,7,15,1,18,1,8,3,10,2,8,1,18,1,15,2,14,4,15,1,8,2,18,1,14,2,18,1,8,2,10,4,8,1,18,2,8,8,15,1,14,6,16,2,14,4,16,4,17,1,14,1,15,3,14,2,16,19,17,1,6,1,17,1,16,8,17,1,14,3,16,39,14,9,16,4,17,1,16,8,17,1,16,21,17,4,16,2,17,1,14,5,15,3,14,3,16,86,17,3,16,7,17,13,14,57,15,1,14,16,15,2,8,1,15,2,14,8,15,3,14,30,15,4,8,8,7,3,14,4,7,3,14,1,7,1,14,2,7,12,8,32,10,6,8,12,10,24,8,3,10,35,8,1,18,5,8,1,10,37,8,6,10,8,8,8,10,55,8,3,10,105,8,6,10,32,8,2,10,2,8,4,10,12,8,4,10,6,8,3,10,1,8,10,10,5,8,11,10,11,8,5,10,5,8,2,10,21,8,5,10,71,8,6,10,4,4,2,19,3,4,919,},
{4,834,18,1,3,1,16,1,3,2,14,1,16,4,14,4,16,2,17,2,16,5,17,1,16,6,3,2,16,2,3,1,18,1,4,48,18,1,17,1,16,12,17,1,16,18,14,14,16,5,14,4,16,7,14,5,18,2,14,1,18,3,8,2,15,3,8,3,15,3,8,4,18,1,14,1,18,1,8,4,18,1,14,1,18,1,8,10,15,1,14,2,15,1,8,3,15,1,14,7,15,1,18,1,8,2,10,3,8,2,18,2,15,1,14,3,15,1,8,2,15,1,14,2,18,1,8,1,10,4,8,2,18,2,8,7,15,1,14,7,16,2,14,4,17,1,16,3,17,1,14,2,15,1,14,2,17,1,16,19,17,3,16,9,17,1,14,2,16,39,14,10,16,12,17,1,16,5,17,1,16,16,17,4,16,1,17,2,14,4,15,3,14,3,16,86,6,3,17,1,16,6,17,1,14,4,17,7,14,53,17,2,14,20,15,1,8,3,15,1,14,8,15,4,14,31,15,1,8,8,7,3,14,5,7,2,14,5,7,13,8,19,10,3,8,12,10,2,8,13,10,31,8,1,10,5,18,2,10,23,8,1,18,6,10,38,8,5,10,10,8,6,10,57,8,1,10,106,8,6,10,37,8,2,10,12,8,4,10,5,8,3,10,2,8,9,10,7,8,9,10,12,8,6,10,5,8,2,10,79,8,2,10,14,8,7,10,3,18,1,4,2,19,3,4,919,},
{4,835,3,5,16,4,14,4,17,1,16,1,17,1,16,12,3,3,16,3,3,1,18,1,4,47,18,1,14,2,16,9,17,3,16,17,14,10,3,1,16,9,14,4,17,1,16,6,3,2,14,4,15,1,18,3,8,10,15,2,8,5,15,1,18,1,8,4,18,1,14,1,18,1,8,10,15,1,14,1,15,1,8,5,15,1,14,6,15,1,18,1,8,9,15,1,14,3,15,1,8,2,18,3,8,2,10,4,8,1,18,4,8,6,15,1,14,7,16,2,14,5,16,4,17,1,14,3,17,1,16,21,17,1,16,33,17,2,16,17,17,1,14,9,17,1,16,11,14,1,17,1,16,22,17,2,16,5,14,3,15,4,14,3,16,5,14,3,16,77,17,1,14,1,17,3,16,5,17,1,14,64,17,3,14,17,15,3,8,3,15,2,14,6,15,2,8,2,15,2,14,31,15,1,8,8,7,1,14,6,7,2,14,2,7,14,14,1,7,2,8,18,10,3,8,27,10,14,8,2,10,21,18,3,10,22,8,1,18,6,10,33,8,2,10,5,8,3,10,11,8,5,10,165,8,5,10,8,8,1,10,23,8,2,10,13,8,2,10,2,8,5,10,4,8,3,10,3,8,7,10,8,8,9,10,11,8,6,10,6,8,1,10,79,8,5,10,10,8,10,10,2,18,1,4,2,19,3,4,919,},
{4,836,3,5,14,1,17,1,16,1,17,1,6,1,14,1,6,1,17,1,16,14,14,2,17,1,16,3,3,3,18,1,4,10,18,3,4,2,19,3,4,28,18,1,3,1,16,8,17,1,14,2,17,1,16,8,17,5,16,1,17,1,14,11,3,1,16,12,17,3,16,7,14,5,15,2,8,14,15,2,8,9,15,2,18,1,8,5,18,2,15,1,8,3,15,3,8,5,15,1,14,5,15,1,8,9,15,1,14,4,18,6,8,3,10,3,8,2,18,3,8,5,15,2,14,1,3,6,16,2,17,1,14,4,17,1,16,5,14,1,17,1,16,3,14,3,16,50,17,1,14,1,17,1,16,12,17,1,16,7,17,1,14,5,17,3,16,9,14,3,16,9,17,2,16,16,17,1,14,4,15,4,14,2,3,5,14,5,16,75,17,7,16,4,17,1,14,11,17,2,14,19,17,2,14,1,17,1,14,34,15,2,14,6,15,2,14,3,15,10,14,4,15,3,8,2,15,3,14,29,7,3,8,3,10,1,8,2,7,1,14,6,7,6,14,2,7,10,14,3,7,1,8,47,10,38,8,1,18,3,10,23,18,1,9,1,10,43,8,4,10,9,8,4,10,15,8,2,10,149,8,4,10,8,8,4,10,14,8,3,10,3,8,5,10,5,8,3,10,2,8,4,10,2,8,5,10,3,8,3,10,4,8,14,10,4,8,5,10,10,8,5,10,29,8,3,10,10,8,4,10,3,8,6,10,33,8,4,10,12,8,1,18,4,8,6,18,1,4,4,19,2,4,918,},
{4,836,18,1,3,4,14,2,6,1,17,2,6,3,17,1,16,11,3,2,14,1,7,1,6,1,17,1,16,4,3,2,4,9,18,1,3,1,16,1,3,1,4,1,19,4,4,29,18,1,3,1,16,7,17,1,14,2,17,1,16,7,17,4,14,2,17,1,14,2,15,3,14,2,15,1,14,3,3,1,16,7,17,1,16,6,17,1,14,1,17,1,16,5,17,1,14,5,15,2,8,14,15,3,8,8,18,3,8,5,15,1,14,1,15,1,8,4,15,3,8,4,15,1,14,6,15,1,8,3,18,3,8,1,18,1,14,5,18,4,8,5,10,2,8,3,18,2,8,6,15,1,14,3,3,5,17,5,14,2,17,1,16,9,14,4,17,1,16,40,17,2,16,7,17,1,14,1,17,1,16,12,17,1,16,8,17,1,14,4,17,1,16,11,14,3,17,1,16,27,3,1,14,3,15,2,8,2,15,1,14,2,3,3,14,2,15,1,14,5,16,65,17,1,16,8,17,4,14,1,17,2,16,4,17,1,14,30,17,6,14,33,15,2,14,5,15,4,14,3,15,15,8,4,15,3,14,29,7,2,8,2,10,3,8,2,14,5,7,7,14,4,7,7,14,4,7,1,8,7,15,2,8,33,10,9,8,3,10,31,8,2,18,3,9,1,18,1,10,20,18,2,10,38,8,1,10,4,8,5,10,5,8,6,10,6,8,2,10,7,8,3,10,149,8,4,10,7,8,6,10,12,8,4,10,3,8,4,10,5,8,10,10,3,8,4,10,3,8,3,10,4,8,14,10,5,8,4,10,9,8,5,10,30,8,3,10,10,8,13,10,7,8,7,10,19,8,4,10,7,8,2,10,2,8,2,18,1,14,1,18,2,8,1,18,3,8,3,18,1,10,1,4,2,19,2,4,918,},
{4,837,3,4,14,1,7,2,6,1,17,2,6,3,17,1,16,10,3,2,14,1,7,2,6,1,17,1,16,3,3,2,18,1,4,8,3,1,16,2,3,1,4,2,19,3,4,29,3,1,16,9,6,1,17,1,16,9,17,3,14,10,15,1,14,2,3,3,14,1,17,1,16,10,14,3,17,1,16,5,14,6,15,2,8,13,18,1,15,3,8,9,18,1,8,6,14,2,15,1,8,3,15,1,14,3,15,1,8,3,15,3,14,4,15,1,8,5,18,2,15,1,14,5,18,6,8,15,15,2,14,6,3,1,14,3,17,1,16,9,17,1,16,3,17,1,14,4,16,41,17,1,14,1,16,7,17,1,14,1,17,1,16,21,17,1,14,4,16,12,17,3,16,28,3,1,14,3,15,1,8,3,15,1,14,3,3,2,14,11,17,1,16,70,17,6,16,4,17,2,14,19,17,1,14,10,17,3,14,31,15,5,14,7,15,4,14,6,15,12,8,3,15,5,14,25,17,1,14,2,7,2,8,2,10,3,8,2,14,5,7,6,14,6,7,3,8,1,7,2,14,4,7,2,8,7,15,1,8,33,10,44,8,2,18,1,10,62,8,2,10,5,8,3,10,5,8,7,10,14,8,2,10,151,8,4,10,7,8,4,10,15,8,3,10,3,8,2,10,6,8,11,10,4,8,2,10,5,8,2,10,5,8,3,10,4,8,4,10,2,8,2,10,4,8,5,10,8,8,4,10,30,8,1,10,11,8,14,10,5,8,9,10,19,8,4,10,8,8,1,10,2,8,2,18,3,8,3,18,2,8,4,10,2,4,921,},
{4,837,18,1,3,3,17,1,14,1,7,1,6,1,17,2,6,1,7,2,17,1,16,11,14,2,7,2,6,1,17,1,16,2,3,4,4,8,3,1,16,2,3,1,18,1,4,1,19,3,4,29,18,1,3,1,16,21,17,1,14,14,3,1,14,3,17,1,16,7,17,1,14,4,17,1,16,5,14,6,15,2,8,9,18,2,8,1,18,1,15,4,8,15,15,1,14,2,15,1,8,3,15,2,14,2,15,1,8,3,15,3,14,4,15,1,18,1,8,4,18,2,15,1,14,4,15,1,18,6,8,15,15,2,14,11,16,7,17,1,14,2,17,1,16,2,14,4,16,42,14,2,17,1,16,7,17,2,16,22,14,4,16,36,17,2,16,5,14,3,15,2,8,3,15,2,14,16,17,1,16,69,17,1,14,1,17,3,16,4,17,2,14,31,17,2,14,25,15,12,14,6,15,5,14,13,15,4,8,4,15,6,14,23,17,2,14,2,7,2,8,3,10,1,8,2,7,1,14,5,7,2,8,1,7,3,14,7,7,2,8,1,7,2,14,3,7,4,8,41,10,44,8,2,18,10,10,53,8,1,10,5,8,3,10,5,8,6,10,14,8,3,10,113,8,1,10,38,8,3,10,6,8,4,10,16,8,4,10,1,8,3,10,2,8,15,10,12,8,1,10,5,8,2,10,11,8,3,10,3,8,6,10,53,8,14,10,5,8,4,18,1,8,4,10,19,8,5,10,7,8,5,18,2,8,4,18,2,8,2,10,4,4,921,},
{4,838,18,1,3,1,16,2,14,3,17,1,6,1,14,1,7,2,14,1,16,11,14,3,6,1,17,1,16,3,3,5,4,7,3,1,16,2,3,2,18,1,4,1,19,2,4,30,18,1,3,1,16,1,14,1,16,18,17,1,14,2,17,2,14,15,17,1,16,4,17,2,14,4,17,1,16,6,14,6,15,1,8,10,18,1,8,3,15,2,14,1,15,1,18,1,8,14,14,3,8,5,15,3,8,4,15,1,14,7,18,1,8,4,18,2,15,1,14,4,18,1,8,1,18,4,8,16,15,1,14,7,3,1,14,4,16,7,14,4,16,2,17,1,14,2,17,1,16,42,14,2,17,1,16,31,14,4,17,1,16,35,14,9,15,3,8,3,15,3,14,15,17,1,16,68,17,1,14,2,17,2,16,5,17,2,14,31,17,1,14,24,15,13,14,7,15,7,14,11,15,4,8,4,15,2,8,3,15,2,14,22,17,3,14,2,7,1,8,6,7,1,14,5,7,2,8,1,7,2,14,9,7,4,14,2,7,6,8,42,10,42,8,2,18,9,10,61,8,3,10,4,8,6,10,14,8,2,10,113,8,2,10,47,8,4,10,16,8,26,10,2,8,2,10,7,8,1,10,5,8,2,10,11,8,3,10,4,8,5,10,55,8,10,10,7,8,9,10,19,8,5,10,7,8,11,18,3,8,1,10,4,4,921,},
{4,839,3,1,16,2,3,1,14,5,7,1,14,2,17,1,16,2,14,2,16,6,14,2,17,2,16,4,3,5,18,1,4,6,18,1,3,3,16,1,3,1,4,2,19,1,4,31,3,2,16,20,17,2,16,2,17,1,14,25,16,7,17,1,14,3,15,2,8,3,15,1,18,1,8,5,18,2,8,3,18,1,15,1,14,2,15,1,18,1,8,12,15,1,14,3,15,1,8,10,15,1,14,8,15,1,8,4,18,2,15,1,14,3,18,1,8,8,10,4,8,1,10,2,8,6,15,2,14,3,15,2,14,2,3,2,14,3,17,1,16,5,17,1,14,4,16,3,14,2,17,1,16,42,17,1,14,1,17,2,16,30,17,1,14,3,17,1,16,16,17,1,16,2,17,2,16,7,14,1,16,5,17,1,14,8,15,4,8,2,15,5,14,14,16,69,17,1,14,2,17,1,16,5,17,1,14,57,15,11,14,7,15,11,14,2,15,2,14,6,15,5,8,2,15,3,8,4,15,1,14,13,7,4,14,6,17,1,14,3,7,1,8,5,7,1,14,7,7,3,14,10,7,4,14,1,7,6,8,43,10,43,8,1,10,1,18,1,10,1,18,5,10,62,8,3,10,4,8,6,10,14,8,1,10,114,8,3,10,46,8,3,10,16,8,15,10,2,8,15,10,11,8,4,10,10,8,5,10,4,8,1,10,58,8,8,10,4,8,9,10,23,8,5,10,7,8,7,10,3,8,1,18,3,10,5,4,921,},
{4,839,18,1,3,1,16,2,14,3,7,2,14,3,17,2,14,3,16,6,17,1,14,1,17,1,16,5,3,5,18,1,4,7,3,3,16,1,3,1,18,1,4,33,18,1,3,1,16,24,17,1,14,25,16,8,14,3,15,1,8,4,15,2,18,1,8,3,18,4,8,2,18,1,15,1,14,2,15,1,18,1,8,12,15,1,14,3,15,1,8,10,15,1,14,5,15,1,14,2,15,1,8,3,18,3,15,4,8,1,10,3,8,4,10,9,8,5,15,1,14,4,15,2,14,1,3,1,16,2,14,3,17,1,16,5,17,1,14,3,17,1,16,4,14,1,17,1,16,42,17,1,14,2,17,2,16,30,17,2,14,1,17,1,16,19,14,3,16,5,17,1,14,1,17,1,16,4,17,1,14,2,15,17,14,11,17,1,16,71,17,1,14,1,17,1,16,6,17,1,14,14,17,5,14,42,15,6,14,6,15,4,14,4,15,10,14,4,15,10,8,5,15,1,14,4,15,4,14,5,7,1,15,3,7,2,14,8,7,1,8,5,7,1,14,7,7,3,14,11,7,3,14,1,7,5,8,44,10,43,8,2,18,5,10,64,8,4,10,3,8,6,10,129,8,2,10,9,8,1,10,11,8,1,10,31,8,3,10,9,8,11,18,2,8,2,10,3,8,9,10,3,8,3,10,10,8,7,10,10,8,5,10,57,8,1,10,4,8,6,10,4,8,6,10,27,8,5,10,8,8,6,10,3,8,1,18,2,8,1,10,5,4,921,},
{4,840,3,3,14,7,17,1,14,5,16,7,17,1,16,7,3,5,4,7,18,1,3,4,18,1,4,4,19,2,4,28,3,1,16,3,17,1,16,20,17,1,14,25,17,1,16,7,14,3,15,1,8,4,14,2,8,4,18,6,15,1,14,3,15,1,18,1,8,12,15,1,14,4,15,1,8,8,15,1,14,5,15,4,18,2,8,5,18,1,15,1,18,1,8,1,10,4,8,3,10,6,8,2,10,3,8,4,15,2,14,2,15,3,14,1,3,1,16,3,17,1,14,1,16,15,17,1,14,1,17,1,16,9,17,2,16,31,14,3,17,1,16,31,17,3,16,19,14,4,16,4,17,1,14,1,17,1,16,5,14,2,15,3,8,4,15,10,14,5,15,2,14,3,17,1,16,47,17,2,16,12,17,4,16,7,17,1,14,1,17,1,16,5,17,1,14,17,17,1,14,46,15,5,14,4,15,5,14,5,15,24,8,4,15,1,14,4,15,3,14,6,7,1,15,6,14,7,7,1,8,4,7,2,14,7,7,2,14,4,7,3,14,2,17,1,14,2,7,9,8,13,10,3,8,28,10,44,8,1,10,70,8,4,10,2,8,11,10,124,8,2,10,9,8,2,10,9,8,3,10,29,8,4,10,9,8,10,18,1,15,1,18,1,8,3,10,1,8,9,10,9,8,4,10,5,8,7,10,9,8,5,10,57,8,1,10,5,8,5,10,3,8,7,10,28,8,2,10,10,8,6,10,3,8,2,18,1,8,1,10,5,4,921,},
{4,841,18,1,3,2,14,3,17,4,14,4,17,1,16,7,17,1,16,4,17,1,16,3,3,2,16,1,3,1,18,1,4,7,3,4,18,1,4,3,19,4,4,27,18,1,3,1,16,23,14,27,17,1,16,6,14,3,15,1,8,4,14,2,8,4,15,1,14,4,15,1,14,4,15,1,8,13,15,1,14,4,15,2,8,6,15,2,14,4,15,1,18,2,15,2,18,1,8,7,18,1,8,2,10,4,8,3,10,5,8,4,10,3,8,3,15,5,8,1,15,1,14,1,3,1,16,21,17,1,16,42,17,1,14,3,17,1,16,25,17,2,16,5,17,2,16,20,14,3,16,12,17,1,14,2,15,3,8,4,15,8,14,6,15,1,14,4,17,1,16,45,17,1,6,1,14,1,6,1,17,1,16,11,17,4,16,7,17,3,16,5,17,1,14,3,17,3,14,59,15,6,14,2,15,4,14,7,15,21,14,1,15,1,8,4,15,1,14,4,15,3,14,6,15,8,7,1,14,3,7,2,8,5,7,2,14,2,7,2,14,3,7,2,14,4,7,3,14,5,7,8,8,11,10,6,8,27,10,61,8,1,10,54,8,5,10,1,8,12,10,8,8,5,10,47,8,1,10,62,8,3,10,8,8,2,10,9,8,3,10,20,8,1,10,6,8,4,10,17,8,4,18,2,8,6,18,1,8,3,10,2,8,1,10,10,8,4,10,7,8,6,10,9,8,5,10,5,8,2,10,50,8,1,10,4,8,5,10,2,8,12,10,36,8,5,10,5,8,3,10,5,4,921,},
{4,842,3,2,14,2,3,1,16,3,17,1,14,4,16,11,17,1,14,2,16,7,3,1,18,1,4,6,3,4,4,5,19,4,4,27,3,1,16,23,14,9,3,1,14,10,17,1,14,6,17,1,16,4,17,1,14,4,15,1,8,4,15,2,8,4,18,1,15,6,14,4,18,1,8,12,18,1,14,6,15,1,8,5,15,5,18,4,15,2,8,10,10,4,8,5,10,3,8,6,10,2,8,1,18,1,8,2,15,1,18,1,8,3,15,1,14,1,16,10,17,2,16,53,17,1,14,3,17,1,16,11,17,1,16,13,14,2,16,5,17,2,16,20,17,1,14,2,16,13,17,1,14,3,15,1,8,3,15,8,14,13,17,1,16,42,17,2,14,4,17,1,16,11,17,1,16,10,17,3,16,4,17,2,14,2,17,4,14,20,17,1,14,38,15,8,14,1,15,2,14,8,15,3,14,2,15,16,14,2,15,1,8,2,15,2,14,4,15,2,14,7,7,1,15,9,7,1,15,1,7,1,8,6,7,1,14,2,7,4,14,2,7,2,14,4,7,3,14,5,7,2,8,1,7,5,8,11,10,6,8,23,10,2,8,2,10,59,8,2,10,28,8,1,10,5,8,1,10,20,8,17,10,3,8,4,10,2,8,5,10,41,8,2,10,65,8,1,10,1,8,3,10,8,8,2,10,9,8,3,10,20,8,2,10,5,8,2,10,20,8,4,18,1,8,4,18,2,14,1,18,1,8,2,10,3,8,1,10,9,8,4,10,7,8,6,10,9,8,5,10,4,8,3,10,55,8,5,10,2,8,2,18,1,8,12,10,34,8,4,10,5,8,2,10,6,4,921,},
{4,842,18,1,3,1,14,2,17,1,16,4,14,4,16,11,17,1,14,2,16,7,3,2,4,6,3,4,4,4,19,5,4,27,3,1,16,23,17,1,14,3,15,3,14,2,3,2,14,9,17,3,14,3,17,1,16,4,14,4,15,1,14,1,15,2,8,4,18,1,8,11,15,1,14,3,15,1,8,13,18,1,15,1,14,4,15,1,8,2,10,2,8,2,15,3,18,4,15,2,18,1,8,10,10,2,8,16,10,2,8,1,15,1,8,2,18,1,8,4,15,1,14,1,16,9,14,3,16,48,17,9,16,11,17,1,14,1,17,1,16,12,14,2,16,6,17,1,16,21,14,2,16,14,17,1,14,2,15,1,8,3,15,2,14,21,17,2,16,38,17,4,6,3,17,1,16,22,17,3,16,3,17,2,14,2,17,6,14,19,17,1,14,38,15,7,14,17,15,16,14,2,15,1,8,2,15,2,14,3,15,3,14,8,7,2,15,9,8,6,7,1,14,3,7,4,14,2,7,2,14,4,7,3,14,4,7,2,8,3,7,4,8,11,10,6,8,26,10,96,8,1,10,25,8,12,10,3,8,4,10,2,8,4,10,42,8,2,10,65,8,6,10,7,8,2,10,5,8,2,10,3,8,1,10,21,8,2,10,4,8,3,10,20,8,6,10,2,8,1,18,2,14,1,18,1,8,1,10,4,8,6,10,4,8,3,10,8,8,6,10,9,8,5,10,3,8,2,10,20,8,1,10,1,8,1,10,35,8,3,10,3,8,16,10,33,8,4,10,13,4,4,19,4,4,913,},
{4,842,18,1,3,4,16,4,14,4,16,12,14,2,16,8,3,1,4,6,18,1,3,3,18,1,4,4,19,4,4,27,3,1,16,24,17,1,14,3,15,2,14,2,16,1,3,2,16,4,14,4,17,5,16,5,17,1,14,2,15,6,18,1,8,4,15,2,8,9,18,1,14,4,8,15,15,1,14,3,15,1,8,1,10,3,8,3,15,6,18,1,15,1,18,1,8,10,10,1,8,17,10,2,8,1,15,1,8,2,18,1,8,5,14,1,3,1,16,2,14,2,17,1,16,2,14,4,16,24,17,1,16,23,17,7,16,13,17,1,14,2,16,12,14,2,16,6,17,1,16,12,17,1,14,1,17,1,16,6,14,2,17,1,16,7,17,2,16,5,14,2,15,2,8,1,15,1,14,24,17,1,16,37,17,8,16,23,17,1,14,1,17,5,14,2,17,6,14,20,17,1,14,29,15,2,14,32,15,15,14,2,15,1,8,3,15,7,14,4,15,1,14,5,7,1,15,8,8,4,7,2,14,6,7,2,14,1,7,4,14,2,7,5,14,2,7,3,8,3,7,3,8,15,10,2,8,6,18,1,8,19,10,58,8,1,10,64,8,5,10,2,8,4,10,4,8,4,10,2,8,3,10,43,8,1,10,71,8,1,10,7,8,2,10,4,8,4,10,24,8,1,10,5,8,3,10,6,8,2,10,12,8,6,10,2,8,2,18,3,8,1,10,3,8,2,18,1,14,2,18,1,8,1,10,5,8,2,10,3,8,11,10,4,8,1,10,4,8,3,10,4,8,2,10,21,8,3,10,41,8,20,10,22,8,2,10,6,8,3,10,12,4,4,19,6,4,912,},
{4,842,18,1,3,5,16,1,3,2,14,4,16,12,17,2,16,8,3,1,4,8,3,4,18,1,4,5,19,1,4,27,3,1,16,26,14,6,16,1,14,1,17,1,16,5,14,5,17,3,16,4,17,1,14,3,15,1,8,1,15,2,14,1,15,2,8,3,18,1,14,2,8,4,10,4,8,1,18,1,14,4,8,16,14,3,15,1,8,1,10,4,8,4,15,1,14,2,15,1,18,2,8,29,10,1,8,1,18,1,15,1,8,2,15,1,18,1,8,2,9,1,8,1,14,1,3,3,14,10,16,16,17,1,14,2,16,4,17,1,16,24,17,2,14,1,17,2,16,15,14,2,16,12,14,2,16,6,17,1,16,12,14,3,16,6,14,3,16,7,17,2,16,5,14,3,15,2,14,8,3,2,14,15,16,38,17,4,16,22,17,3,16,1,17,2,14,7,17,5,14,53,15,7,14,14,15,7,14,7,15,10,8,2,15,4,8,6,15,4,14,4,15,1,14,7,7,2,15,5,8,2,7,3,14,7,7,2,14,1,7,16,8,4,7,2,8,23,18,2,8,19,10,1,8,1,10,52,8,4,10,64,8,5,10,3,8,2,10,6,8,3,10,48,8,1,10,71,8,1,10,7,8,3,10,3,8,2,18,1,8,1,10,24,8,1,10,5,8,2,10,7,8,2,10,11,8,7,10,2,8,2,18,3,8,1,10,3,8,1,18,1,14,4,18,1,8,1,10,8,8,13,10,2,8,5,10,31,8,4,10,40,8,11,10,1,8,8,10,22,8,3,10,5,8,3,10,13,4,3,19,6,4,912,},
{4,843,18,1,3,6,14,5,17,1,16,21,3,1,4,9,3,5,18,1,4,31,3,1,16,27,17,1,14,4,16,1,14,1,17,1,16,5,17,1,14,7,16,4,17,1,14,3,15,6,8,4,15,1,14,2,8,5,10,2,8,2,18,1,14,3,15,1,8,16,15,1,14,2,15,1,8,1,10,4,8,4,15,1,14,2,15,1,8,17,10,4,8,12,18,1,15,1,8,2,15,2,18,1,8,1,10,1,8,1,15,1,14,1,3,1,14,10,17,1,16,11,17,1,14,3,17,4,16,5,17,2,16,23,17,1,14,2,17,1,16,15,14,2,17,1,16,31,17,1,14,2,16,7,14,4,16,12,17,1,14,11,16,4,14,13,16,40,17,3,16,22,17,2,14,1,17,4,14,6,17,5,14,56,15,6,14,8,15,3,14,2,15,3,8,1,15,3,14,8,15,10,8,1,15,3,8,8,15,8,14,8,7,1,15,3,7,1,15,1,7,3,14,9,7,20,8,4,7,2,8,7,10,2,8,32,10,1,8,6,10,49,8,4,10,64,8,5,10,13,8,2,10,119,8,2,10,6,8,4,10,2,8,1,18,3,10,24,8,1,10,15,8,1,10,5,8,14,10,2,8,5,10,3,8,1,18,1,14,1,3,2,14,1,18,1,8,1,10,7,8,14,10,2,8,5,10,31,8,1,10,41,8,11,10,4,8,9,10,20,8,4,10,4,8,2,10,14,4,3,19,6,4,912,},
{4,844,3,1,16,2,3,1,14,8,17,1,16,20,3,1,4,9,3,6,18,1,4,29,3,1,16,29,14,3,17,1,16,1,14,4,16,4,14,7,17,1,16,3,17,1,3,1,14,3,15,4,8,4,15,4,8,8,18,1,14,4,8,17,18,1,14,2,15,1,8,2,10,2,8,4,18,1,15,1,14,2,18,1,8,3,10,2,8,2,18,1,8,6,10,8,8,3,10,2,8,6,18,2,8,2,15,1,14,1,15,1,8,1,10,2,8,1,14,9,15,1,14,2,16,3,17,1,16,8,14,4,16,9,17,2,16,23,14,3,17,1,16,4,17,1,16,10,17,1,14,1,17,1,16,31,14,2,17,1,16,6,17,2,14,3,16,12,14,6,16,2,14,3,16,5,14,11,16,42,17,4,16,1,17,3,16,7,17,3,16,7,17,1,14,3,17,4,14,5,17,1,16,3,17,1,14,57,15,6,14,7,15,3,14,2,15,2,8,2,15,3,14,2,15,2,14,4,15,14,8,8,15,1,14,3,15,3,14,9,15,6,8,1,7,2,14,8,7,5,14,1,7,4,8,2,7,10,8,3,7,4,8,4,10,3,8,22,10,12,8,6,10,116,8,3,10,15,8,2,10,49,8,1,10,31,8,2,10,37,8,2,10,5,8,7,18,3,10,23,8,2,10,9,8,4,10,2,8,1,10,5,8,1,18,3,8,6,10,2,8,9,10,3,8,2,18,1,14,3,18,1,8,1,10,7,8,13,10,3,8,4,10,72,8,5,18,2,8,21,10,18,8,5,10,20,4,2,19,6,4,912,},
{4,844,18,1,3,4,14,7,17,1,16,14,17,1,16,5,3,1,18,1,4,8,18,1,3,5,18,2,4,28,3,1,16,30,17,2,16,3,14,3,17,1,16,3,17,1,14,7,17,5,14,4,15,2,8,5,15,1,14,2,15,2,8,3,18,1,15,4,14,3,18,1,8,10,18,1,15,1,18,1,8,5,15,1,14,1,15,1,8,10,14,1,15,1,8,14,10,9,8,3,10,4,8,8,15,3,8,1,10,2,8,1,15,1,14,11,16,3,17,1,16,8,14,4,16,9,17,3,16,22,14,4,17,1,16,2,17,2,16,11,14,2,17,1,16,30,14,2,17,1,16,5,14,6,16,12,14,5,16,3,14,3,16,4,3,1,14,2,15,1,14,8,16,42,17,2,16,1,17,6,16,6,17,4,16,6,17,1,14,3,17,3,14,5,17,2,16,2,17,1,14,57,15,8,14,1,15,8,14,1,15,8,14,2,15,2,14,3,15,13,14,1,15,1,8,2,10,2,8,3,15,8,14,10,7,1,15,4,7,2,14,9,7,3,8,1,7,19,8,3,7,4,8,3,10,2,8,23,10,12,8,6,10,117,8,2,10,2,8,2,10,11,8,3,10,48,8,2,10,75,8,9,18,1,8,1,10,9,8,1,10,13,8,3,10,8,8,3,10,8,8,1,18,4,8,6,10,15,8,3,18,1,8,2,10,9,8,2,18,2,8,9,10,2,8,3,10,73,8,29,10,16,8,4,10,4,8,2,10,12,8,2,10,2,4,2,19,6,4,912,},
{4,845,3,6,14,5,17,1,16,13,17,2,16,6,3,1,4,9,18,1,3,4,18,2,4,28,3,1,16,35,17,2,14,2,17,1,16,3,14,10,17,2,14,4,15,1,8,6,15,1,14,3,15,2,8,2,15,1,14,3,18,2,8,1,18,1,14,1,18,1,8,9,18,1,14,2,8,5,15,3,8,4,18,1,15,1,8,4,18,2,8,4,18,2,8,2,10,2,8,4,10,8,8,3,10,6,8,7,18,1,15,2,8,4,15,1,14,3,15,5,14,3,16,12,14,5,17,1,16,8,17,2,16,8,17,1,14,2,17,1,16,10,14,8,17,1,16,11,14,2,17,1,16,30,14,3,16,5,14,7,16,11,17,1,14,4,16,4,14,2,16,3,14,8,16,2,14,3,16,46,17,1,14,3,17,1,16,7,17,4,16,5,17,3,14,8,17,1,16,3,17,2,14,55,15,7,14,4,15,6,14,2,15,9,14,5,15,15,14,2,8,1,10,3,8,2,15,1,14,1,15,2,8,2,15,4,14,3,15,4,14,4,15,3,7,1,14,9,7,19,8,3,7,2,8,4,7,3,8,3,10,1,8,26,10,12,8,4,10,62,8,2,10,7,8,4,10,43,8,5,10,10,8,4,10,48,8,2,10,75,8,4,10,8,8,2,10,3,8,13,10,5,8,2,10,10,8,1,10,7,8,1,18,6,8,5,18,1,8,1,10,13,8,1,10,14,8,2,14,2,8,2,10,3,8,5,10,1,8,3,10,73,8,29,10,10,8,2,10,3,8,4,10,5,8,4,10,9,8,1,18,2,10,2,4,4,19,5,4,911,},
{4,846,18,1,3,4,14,5,16,9,14,1,16,12,3,1,18,1,4,9,18,2,3,2,18,1,4,30,3,2,16,35,17,1,14,1,17,1,16,3,14,5,17,2,14,3,3,1,17,1,3,1,14,4,8,6,15,1,14,4,15,3,14,4,15,1,8,3,18,2,8,9,18,1,14,1,15,1,8,2,10,1,8,2,15,3,8,4,15,2,8,2,10,1,8,7,15,2,18,1,8,1,10,3,8,3,10,7,8,3,10,8,8,13,15,1,14,2,15,2,8,3,15,1,14,3,3,1,16,12,14,4,16,10,17,1,16,8,17,1,14,3,17,2,16,7,17,1,14,8,17,1,16,11,17,3,16,30,14,3,16,5,14,7,16,12,17,1,14,3,17,1,16,7,14,8,16,4,14,2,16,25,17,1,16,20,17,1,14,3,17,1,16,8,17,1,16,1,17,9,14,7,17,1,16,3,17,1,14,7,17,1,14,49,15,8,14,2,15,6,14,3,15,10,14,3,15,15,14,3,8,1,10,3,8,1,15,1,14,2,15,2,8,2,15,4,14,3,15,1,8,2,15,1,14,4,15,1,8,1,15,1,14,10,7,5,8,3,7,3,14,3,7,3,8,5,7,2,8,5,7,2,8,30,10,78,8,3,10,7,8,3,10,25,8,2,10,17,8,4,10,11,8,4,10,47,8,2,10,75,8,2,10,8,8,5,10,2,8,1,18,1,8,11,10,5,8,2,10,1,8,3,10,13,8,1,18,6,8,5,18,3,10,29,8,1,14,2,8,2,10,3,8,4,10,60,8,4,10,14,8,5,10,1,8,23,10,10,8,3,10,2,8,5,10,4,8,7,10,6,8,3,10,3,4,4,19,5,4,910,},
{4,847,18,1,3,3,14,5,16,7,17,1,14,2,16,11,3,2,18,1,4,10,18,1,3,2,14,1,10,1,4,30,18,2,3,1,16,15,17,1,16,18,17,2,16,3,14,6,17,1,16,2,3,3,14,5,15,1,8,5,15,4,14,2,15,1,14,5,15,1,8,14,18,3,8,2,10,1,8,2,15,1,14,2,15,1,8,10,18,1,8,4,18,1,15,1,18,1,8,1,10,3,8,4,10,6,8,4,10,7,8,13,15,1,14,2,15,2,8,3,15,2,14,2,3,1,16,5,17,1,14,2,17,2,16,38,17,1,14,1,17,1,16,4,17,3,16,44,14,3,16,5,17,1,14,6,16,13,14,4,16,8,14,7,16,4,14,2,16,22,17,4,16,20,17,1,14,3,17,1,16,12,17,6,14,8,17,1,16,3,17,1,14,6,17,2,14,50,15,13,8,1,15,2,14,2,15,11,14,2,15,8,14,10,15,1,8,4,15,1,14,2,15,2,8,1,15,2,14,1,15,2,14,2,15,2,8,2,15,2,14,2,15,1,8,2,15,1,14,10,7,5,8,4,7,7,8,6,7,2,8,5,7,1,8,28,10,81,8,3,10,35,8,4,10,15,8,4,10,11,8,3,10,17,8,3,10,115,8,5,10,2,8,1,18,1,8,9,10,8,8,6,10,7,8,2,10,4,8,1,18,4,8,3,10,3,4,14,10,18,8,2,18,1,8,1,10,4,8,3,10,60,8,5,10,14,8,29,10,15,8,5,10,9,8,2,10,7,8,1,10,4,18,3,4,1,19,6,4,909,},
{4,848,3,4,14,4,16,5,17,1,14,4,16,11,3,2,18,1,4,11,3,3,4,32,10,1,8,1,14,1,16,14,17,1,16,18,17,2,16,3,14,7,16,2,17,1,14,1,3,1,14,6,15,3,8,3,15,3,14,7,15,1,18,1,8,22,15,1,14,3,15,1,8,14,18,1,14,1,18,1,8,1,10,3,8,4,10,6,8,6,10,5,8,13,15,4,8,4,15,2,14,3,16,4,14,7,16,36,17,3,16,52,14,3,16,7,14,5,16,14,17,1,14,2,16,8,14,7,16,3,3,1,14,2,16,11,17,3,16,5,17,8,16,18,17,2,14,3,17,1,16,7,17,1,16,4,17,2,14,12,17,2,16,1,17,2,14,6,17,2,14,52,15,14,14,2,15,16,14,15,15,12,14,2,15,2,14,2,15,2,8,2,15,4,8,3,15,1,14,10,7,5,8,4,7,5,8,43,10,10,8,3,10,70,8,1,10,36,8,4,10,8,8,11,10,30,8,5,10,8,8,3,10,93,8,3,10,7,8,1,9,1,18,2,9,1,8,1,10,1,8,1,18,1,8,9,10,9,8,1,18,1,14,1,18,2,8,1,10,1,8,3,10,1,9,1,18,2,10,3,8,1,18,2,8,3,10,1,8,1,10,3,4,16,10,17,8,4,10,4,8,1,10,63,8,4,10,1,8,1,10,1,8,2,10,9,8,29,10,7,8,1,10,7,8,6,10,7,8,3,10,12,8,2,18,1,4,2,19,5,4,909,},
{4,848,18,1,3,4,14,3,16,5,17,1,14,4,16,11,3,3,4,11,18,1,3,2,4,32,10,2,14,1,16,33,17,2,16,3,14,7,16,2,17,1,14,4,15,1,14,5,15,1,8,2,15,4,14,5,15,2,8,23,18,1,14,5,18,1,8,13,18,1,14,1,18,1,8,1,10,3,8,5,10,5,8,7,10,4,8,13,15,4,8,3,15,3,14,3,16,4,14,9,16,23,17,4,16,17,17,1,16,28,17,1,16,15,14,3,16,3,14,1,17,1,16,2,14,5,16,15,17,2,16,8,14,6,17,1,16,3,3,1,14,2,16,11,17,1,6,1,17,6,14,7,17,1,16,19,17,1,14,3,17,1,16,7,17,1,16,1,17,4,14,14,17,3,14,7,17,3,14,51,15,14,14,1,15,17,14,7,15,3,14,3,15,2,14,4,15,9,14,1,15,2,14,1,15,2,8,3,15,2,8,5,15,1,14,8,7,8,8,3,7,5,8,43,10,9,8,4,10,107,8,4,10,7,8,12,10,18,8,9,10,3,8,8,10,5,8,3,10,92,8,5,10,6,8,1,18,3,9,1,8,1,10,1,18,2,8,3,18,2,8,7,10,6,8,1,18,1,3,2,18,1,8,1,10,2,18,3,10,1,18,1,10,3,18,5,10,4,9,2,18,1,4,2,19,9,4,5,10,17,8,3,10,74,8,5,10,8,8,30,10,4,8,4,10,7,8,6,10,6,8,2,10,16,4,1,19,7,4,908,},
{4,848,18,1,3,4,14,3,16,7,17,1,14,1,16,11,14,1,3,1,16,1,3,1,4,12,3,2,18,1,4,30,10,3,15,1,16,33,14,2,17,1,16,2,17,1,14,3,15,1,14,2,17,1,16,1,14,5,15,1,14,5,15,1,8,2,15,1,14,1,15,1,14,2,17,2,14,2,8,24,15,2,14,5,18,1,8,8,10,1,8,4,18,3,8,1,10,3,8,5,10,5,8,7,10,8,8,1,10,4,8,4,15,3,8,3,15,2,14,1,15,1,14,1,15,1,14,2,16,3,14,9,17,1,16,21,14,5,17,1,16,16,17,2,16,27,17,2,16,14,14,1,15,1,14,1,16,2,17,1,14,2,16,2,14,5,16,25,14,7,16,3,14,3,16,8,17,2,14,9,17,8,16,19,17,2,14,1,17,2,16,6,17,2,14,20,17,1,14,61,15,4,8,3,15,5,14,4,15,17,14,5,15,10,14,4,15,1,8,3,15,10,8,4,15,1,8,6,15,1,14,7,7,9,8,2,7,5,8,27,15,2,8,14,10,7,8,7,10,108,8,1,10,6,8,15,10,17,8,10,10,3,8,8,10,4,8,4,10,61,8,4,10,12,8,2,10,12,8,6,10,6,8,1,18,4,8,1,10,1,18,2,8,14,10,2,8,1,10,2,18,1,3,2,18,1,10,2,18,2,10,3,18,1,10,2,18,5,4,1,10,4,4,4,19,11,4,6,18,3,10,12,8,1,10,76,8,7,10,6,8,38,10,8,8,6,10,5,8,2,10,16,4,2,19,6,4,908,},
{4,849,3,4,14,4,16,13,17,1,16,8,3,1,4,12,18,1,3,1,18,1,4,27,18,3,9,1,10,1,8,1,15,1,16,33,14,3,17,1,16,2,14,3,15,2,14,2,17,1,14,8,7,1,15,5,14,5,17,2,14,2,8,8,18,2,8,14,15,1,14,3,15,1,18,2,8,3,18,1,15,1,18,2,8,1,10,2,8,4,18,3,8,9,10,6,8,7,10,13,8,3,15,3,8,3,15,1,14,4,15,2,14,1,3,1,16,2,3,1,14,3,17,1,16,1,14,4,16,21,14,2,15,1,14,3,17,2,16,1,17,1,16,12,17,1,14,1,17,1,16,27,17,1,16,14,14,3,16,1,14,3,17,1,16,2,14,5,16,25,14,7,16,3,14,3,16,6,17,1,14,9,6,1,17,2,16,5,17,3,16,18,17,3,14,1,17,2,16,5,17,2,14,83,15,4,8,2,15,5,14,5,15,17,14,4,15,4,8,4,15,3,14,3,15,2,8,3,15,1,14,1,15,3,8,1,15,4,8,4,15,1,8,6,15,1,14,7,7,16,8,19,7,2,15,1,8,4,15,3,18,1,8,13,10,5,8,9,10,21,8,1,10,90,8,18,10,23,8,4,10,4,8,8,10,3,8,4,10,61,8,1,10,29,8,8,10,4,8,1,18,3,9,1,10,2,18,3,8,8,18,3,8,2,10,2,8,1,10,2,18,4,4,24,19,11,4,13,10,64,4,13,10,8,8,6,10,8,8,37,10,10,8,4,10,5,8,3,10,8,8,3,10,5,4,1,19,6,4,908,},
{4,849,18,1,3,3,14,4,16,13,17,2,16,7,18,1,4,13,18,2,4,26,3,4,14,1,8,2,15,1,14,1,16,2,17,1,14,1,16,28,14,3,16,3,17,1,14,2,15,1,8,1,14,2,3,1,14,8,7,1,15,5,14,4,17,2,14,2,15,1,8,2,10,2,8,3,18,3,8,3,18,2,8,9,15,1,14,1,15,1,8,5,18,2,14,3,15,1,8,1,10,2,8,4,18,3,8,9,10,7,8,4,10,15,8,2,18,1,15,2,18,1,8,3,15,1,14,4,15,3,14,1,3,1,16,2,3,1,14,2,16,2,3,1,14,3,16,21,14,1,15,2,14,8,17,1,16,10,17,1,14,1,17,1,16,27,17,1,16,14,14,7,16,3,14,3,3,1,14,1,16,25,17,1,14,13,16,4,17,1,14,8,17,2,16,9,17,1,16,19,17,2,14,3,17,2,16,3,17,3,14,6,17,4,14,74,15,11,14,7,15,13,14,5,15,3,8,6,15,6,8,3,15,5,8,2,15,2,8,6,15,1,8,6,14,6,7,18,8,19,7,2,15,1,8,4,15,4,8,26,10,17,8,2,10,3,8,1,10,90,8,18,10,23,8,4,10,4,8,3,10,1,8,4,10,3,8,3,10,18,8,1,10,73,8,6,10,5,8,2,18,3,9,1,10,2,18,3,8,8,18,1,14,1,18,2,8,1,10,2,8,1,10,2,18,2,4,5,19,1,4,19,19,12,4,5,19,2,4,7,10,62,4,5,19,5,4,8,10,4,8,6,10,14,8,32,10,9,8,5,10,6,8,3,10,6,8,3,10,5,4,2,19,5,4,908,},
{4,846,19,2,4,2,18,1,3,2,14,4,16,12,17,2,16,6,3,1,14,1,18,1,4,40,3,2,16,3,14,1,15,1,8,1,15,1,14,1,16,2,14,2,17,1,16,27,17,3,16,4,14,2,15,1,8,1,15,1,14,1,17,1,14,10,15,2,7,2,14,5,17,1,14,2,15,1,8,2,10,3,8,2,18,4,8,1,18,3,8,10,18,1,8,2,10,2,8,2,18,1,14,5,8,7,18,2,8,10,10,25,8,2,18,1,15,2,18,1,8,4,15,1,14,4,15,1,8,1,15,1,14,2,16,3,14,2,16,3,14,3,16,14,17,1,16,6,14,2,15,1,14,9,16,10,14,3,17,1,16,25,17,2,16,15,14,1,17,1,14,3,16,3,14,3,16,2,3,1,16,25,17,1,14,14,16,2,17,1,14,7,17,2,16,31,17,2,14,3,17,2,16,3,17,2,14,6,17,1,16,1,17,3,14,74,15,13,14,7,15,10,14,6,15,2,8,7,15,15,8,1,15,1,8,7,15,1,8,5,15,1,14,6,7,11,14,2,7,4,8,20,7,2,15,1,8,4,15,1,14,2,15,1,8,25,10,18,8,3,10,86,8,3,10,4,8,18,10,23,8,4,10,5,8,2,10,2,8,3,10,3,8,2,10,18,8,2,10,55,8,1,10,18,8,3,10,7,8,2,18,3,9,1,8,1,10,2,18,6,8,3,18,5,10,5,18,3,4,2,19,6,4,3,19,4,4,10,19,12,4,4,19,6,4,6,10,60,4,1,19,12,4,5,10,3,8,3,10,2,8,1,10,16,8,1,10,4,8,8,10,1,8,12,10,1,8,1,10,3,8,3,10,6,8,2,18,1,8,3,10,5,8,3,10,15,4,1,19,5,4,908,},
{4,846,19,3,4,1,18,1,3,3,14,2,17,1,16,7,17,9,16,4,14,1,15,1,10,1,4,39,18,1,3,1,16,4,14,1,15,1,8,2,15,1,17,2,15,2,14,1,16,34,14,1,15,1,8,2,15,1,14,1,17,2,14,9,7,2,8,1,7,2,14,8,15,1,8,6,18,3,8,3,18,1,8,2,10,2,8,9,10,3,8,2,18,1,14,4,18,1,8,12,18,2,8,5,10,24,8,3,18,1,15,2,18,1,8,4,18,1,15,1,14,3,15,4,14,1,16,3,14,2,16,3,14,3,16,21,17,1,14,10,17,1,16,10,14,4,16,26,17,2,16,15,17,1,14,3,16,2,14,3,3,1,16,29,17,1,14,21,17,1,16,35,17,5,16,4,17,12,14,76,15,12,14,7,15,10,14,6,15,3,8,6,15,10,8,4,15,2,8,8,15,2,8,4,15,1,14,5,7,3,8,2,7,7,14,3,7,2,8,21,7,2,15,1,8,4,15,1,14,2,15,1,8,9,10,2,8,12,10,20,8,3,10,85,8,4,10,4,8,18,10,4,8,2,10,17,8,6,10,3,8,2,10,3,8,1,10,4,8,2,10,45,8,1,10,8,8,9,10,3,8,6,10,17,8,1,10,14,8,2,18,3,8,2,10,4,18,6,8,6,10,4,18,3,4,3,19,13,4,10,19,2,4,8,19,1,4,5,19,9,4,5,10,5,8,2,10,50,4,1,19,14,4,5,18,2,10,28,8,7,10,2,8,11,10,4,8,4,10,6,8,2,18,1,8,3,10,5,8,5,10,13,4,1,19,5,4,908,},
{4,846,19,4,4,1,3,2,16,9,17,1,14,11,16,3,14,1,8,1,9,1,18,4,4,35,3,2,16,4,17,1,14,1,8,3,14,2,15,2,14,1,16,33,17,1,14,1,15,1,8,3,14,1,16,1,17,2,14,9,7,1,8,4,14,9,18,1,8,4,18,2,8,7,10,2,8,9,10,2,8,2,18,1,14,3,18,2,8,12,18,3,8,6,10,18,8,2,10,2,8,4,15,3,18,2,15,6,14,2,15,2,8,1,15,1,14,2,16,2,14,2,16,3,14,4,16,21,17,1,14,5,17,3,16,12,14,4,17,1,16,25,17,4,16,13,17,1,14,3,16,2,14,3,16,31,17,1,14,15,17,1,14,3,17,1,16,47,17,2,16,3,17,1,14,79,15,13,14,8,15,8,14,7,15,3,8,6,15,5,14,2,15,2,8,5,15,2,8,8,15,2,8,3,15,1,14,6,7,3,8,2,7,3,14,1,7,3,14,3,7,1,8,21,7,3,15,1,8,3,15,1,14,3,15,2,8,7,10,3,8,1,18,1,8,6,10,24,8,2,10,86,8,5,10,3,8,19,10,2,8,3,10,15,8,14,10,7,8,2,10,44,8,1,10,1,8,1,10,6,8,10,10,2,8,2,18,1,8,3,10,18,8,1,10,14,8,2,18,3,8,4,10,2,8,1,18,5,8,4,10,4,4,7,19,14,4,26,19,10,4,8,10,1,8,4,10,45,4,4,19,17,4,5,10,4,8,2,10,21,8,7,10,3,8,3,10,1,8,14,10,6,8,6,10,5,8,3,10,1,8,1,10,4,8,2,10,7,4,1,19,5,4,908,},
{4,846,19,4,4,1,18,1,3,1,16,6,17,1,16,1,17,1,14,10,15,2,14,2,3,1,14,1,15,1,14,1,3,1,16,1,3,2,18,1,4,33,18,1,3,2,16,4,17,1,14,1,8,1,10,1,8,1,14,1,16,1,14,3,16,33,17,1,14,1,8,4,14,1,17,3,14,9,7,1,8,4,14,10,18,1,8,3,18,2,8,6,10,3,8,12,18,2,14,2,18,1,8,14,18,3,8,2,10,1,8,3,10,13,8,2,10,3,8,7,18,1,15,3,18,2,15,1,14,1,15,8,8,2,15,1,14,2,16,1,3,2,16,3,14,5,16,8,17,1,16,6,17,1,16,5,14,4,17,1,16,9,17,3,16,3,17,1,14,4,16,27,17,3,16,12,14,4,16,2,14,3,16,3,3,1,14,1,16,2,17,5,16,7,17,1,16,12,17,1,14,13,17,2,16,15,17,1,16,40,14,78,15,15,14,8,15,9,14,6,15,13,14,4,15,1,8,6,15,1,8,8,15,3,8,2,15,1,14,6,7,2,8,3,7,3,14,6,7,2,8,22,7,1,8,6,15,1,14,2,15,1,8,4,10,1,8,3,10,3,8,1,18,1,8,5,10,112,8,33,10,13,8,19,10,4,8,3,10,52,8,10,10,2,8,1,18,3,8,2,10,17,8,2,10,14,8,2,18,3,8,5,10,2,8,1,18,4,8,2,10,6,4,7,19,14,4,26,19,12,4,6,18,1,8,5,10,4,8,3,10,37,4,4,19,19,4,3,10,2,8,4,10,21,8,7,10,2,8,17,10,8,8,6,10,6,8,1,10,2,8,1,10,3,8,1,18,2,8,1,10,6,4,2,19,3,4,909,},
{4,846,19,4,4,1,18,1,3,1,16,6,17,1,16,2,14,4,17,4,14,2,15,2,14,3,3,3,16,3,3,1,18,1,4,33,18,1,3,2,16,4,17,1,14,1,7,1,8,2,14,1,16,1,14,2,17,1,16,34,14,1,15,1,8,3,14,1,17,3,14,9,7,1,8,4,14,1,17,3,14,7,8,7,10,7,8,9,18,7,8,2,10,3,8,10,18,3,8,1,10,2,8,3,10,12,8,14,18,3,8,1,18,1,14,4,15,4,14,1,15,1,8,3,15,1,14,1,3,1,16,4,3,1,14,14,17,1,16,5,14,1,16,5,14,4,16,9,17,1,14,3,16,4,14,4,16,27,17,2,16,13,14,4,16,3,14,1,16,3,3,1,14,3,17,1,14,5,17,1,16,6,17,1,16,14,14,12,16,15,17,1,14,3,17,1,16,36,17,1,14,78,15,9,14,2,15,4,14,10,15,27,14,3,15,2,8,6,15,1,8,8,15,6,14,6,7,2,8,3,7,2,14,5,7,3,8,20,7,1,15,1,7,2,8,7,15,3,8,4,10,1,8,4,10,1,8,2,18,1,8,4,10,12,8,3,10,97,8,34,10,13,8,3,10,5,8,5,18,2,8,5,10,4,8,2,10,52,8,4,10,6,8,1,10,1,8,1,18,3,8,1,10,18,8,2,10,14,8,3,10,2,8,5,10,3,18,4,8,2,10,6,4,11,19,9,4,29,19,11,4,6,10,1,8,4,10,4,8,3,10,36,9,1,4,1,19,7,4,10,19,7,4,2,8,2,18,2,8,2,10,20,8,7,10,2,8,17,10,9,8,4,10,2,8,1,10,11,8,1,18,2,8,1,10,6,4,914,},
{4,847,19,3,4,2,18,1,3,1,16,9,14,1,17,2,16,1,17,2,14,1,17,1,14,2,15,2,14,2,3,2,16,4,3,1,18,1,4,33,3,2,16,5,17,2,7,1,8,1,15,1,16,2,17,1,14,1,17,1,16,34,14,2,15,1,8,1,15,1,14,2,17,2,14,8,7,2,8,3,7,1,14,1,17,4,14,6,18,1,8,6,10,7,8,8,18,1,14,4,18,3,8,2,10,3,8,10,18,3,8,1,10,2,8,3,10,6,8,2,10,4,8,7,10,3,8,8,18,1,15,1,14,3,15,4,14,1,15,1,8,2,10,1,8,1,15,1,14,1,16,3,14,17,16,5,14,1,17,1,16,5,14,3,17,1,16,7,17,1,14,4,17,1,16,4,14,2,17,1,16,27,17,1,6,1,17,1,16,12,14,5,16,5,14,11,17,1,16,2,17,5,16,14,17,1,14,11,16,15,17,1,14,4,17,1,16,34,3,1,14,81,15,5,14,18,15,29,14,1,15,3,8,14,15,6,14,7,7,2,8,2,7,2,14,5,7,3,8,19,7,5,8,13,10,1,8,13,10,12,8,4,10,16,8,1,10,78,8,4,10,3,8,28,10,13,8,3,10,6,8,4,14,3,18,2,8,2,10,3,8,3,10,62,8,6,10,19,8,1,18,1,10,15,8,1,10,5,9,3,10,4,8,3,10,7,4,13,19,1,4,37,19,13,4,3,10,10,8,2,10,36,18,1,19,8,4,10,19,8,4,1,18,5,8,1,10,20,8,7,10,2,8,13,10,1,8,4,10,9,8,7,10,9,8,3,18,1,8,1,10,6,4,914,},
{4,853,18,1,3,1,16,8,14,1,17,1,16,2,17,1,14,2,16,2,14,6,3,1,16,4,3,1,4,34,3,2,16,5,17,2,7,1,8,1,15,1,16,2,17,1,14,1,17,1,16,35,14,2,15,2,14,2,17,2,14,8,7,1,8,1,7,3,14,2,16,2,17,1,14,7,18,1,8,4,18,2,8,1,10,5,8,9,18,1,14,4,18,1,8,1,18,1,8,3,10,2,8,10,18,3,8,1,10,2,8,3,10,5,8,3,10,5,8,6,10,4,8,9,15,1,14,3,15,3,14,1,15,1,8,2,10,1,8,1,15,1,14,1,3,2,14,18,17,1,16,3,14,2,16,9,17,1,14,1,17,1,16,5,17,1,14,4,17,1,16,4,17,1,14,1,16,28,6,2,17,1,16,12,14,5,17,1,16,4,14,4,17,2,14,5,16,4,17,3,16,16,17,1,14,10,16,18,17,1,14,4,17,1,16,22,17,7,16,1,17,1,14,94,15,1,14,8,15,22,8,2,15,2,14,2,15,5,14,4,15,2,8,10,15,1,14,3,15,1,14,8,7,2,8,2,7,2,14,5,7,1,8,21,7,1,14,2,7,2,8,3,15,1,8,8,10,2,8,13,10,12,8,5,10,15,8,3,10,74,8,6,10,4,8,1,18,2,8,24,10,12,8,4,10,6,8,3,18,1,14,5,15,1,8,2,10,2,8,3,10,62,8,5,10,20,18,3,10,2,8,3,10,2,4,19,10,10,4,57,19,10,4,1,10,44,4,5,19,8,4,10,19,8,4,3,18,3,8,1,10,20,8,7,10,2,8,12,10,4,8,3,10,9,8,5,10,5,8,2,10,2,8,2,10,2,8,2,10,6,4,914,},
{4,854,18,1,3,2,16,6,17,2,16,1,17,2,14,2,16,3,3,1,14,4,16,4,3,2,4,33,18,1,3,1,16,4,14,1,17,1,6,1,14,2,8,1,15,1,16,41,14,2,15,1,14,2,17,6,14,5,7,2,14,3,17,1,16,2,17,1,14,5,15,1,18,1,8,5,18,2,8,4,10,1,8,10,18,1,14,4,18,1,8,5,10,1,8,11,18,2,8,2,10,2,8,3,10,4,8,3,10,7,8,4,10,4,8,10,18,1,14,4,15,2,14,1,15,1,8,2,9,1,8,1,14,9,16,1,14,13,16,3,17,1,14,1,17,1,16,8,14,3,17,1,16,4,14,5,17,1,16,34,6,1,14,1,17,1,16,12,14,6,16,4,14,4,17,2,14,4,17,1,16,4,17,2,16,18,14,10,16,19,17,1,14,3,17,1,16,25,17,6,14,29,3,1,14,64,15,2,14,7,15,13,8,4,15,4,8,3,15,1,14,5,15,3,14,5,15,2,8,10,15,4,14,8,7,5,14,5,7,1,8,22,7,4,8,4,15,1,8,8,10,2,8,12,10,12,8,5,10,16,8,3,10,74,8,6,10,3,8,28,10,9,8,1,10,3,8,3,10,6,8,3,18,1,14,6,18,1,8,2,10,73,8,4,18,1,4,17,9,1,8,5,4,86,19,10,4,6,10,38,4,6,19,8,4,10,19,7,4,5,18,1,8,2,10,19,8,8,10,2,8,11,10,4,8,4,10,8,8,6,10,5,8,2,10,14,18,1,4,5,19,3,4,905,},
{4,855,18,1,3,1,16,8,17,3,14,2,3,2,16,1,3,2,14,2,3,1,16,4,14,1,15,1,18,5,4,28,3,2,16,3,3,1,14,4,18,1,10,1,18,1,3,1,16,41,14,4,16,2,17,2,16,2,17,1,14,10,16,3,17,1,14,2,15,2,8,9,18,1,8,9,10,1,8,4,18,2,14,2,18,2,8,4,10,1,8,5,10,3,8,3,18,2,8,2,10,4,8,2,10,4,8,3,10,7,8,3,10,4,8,11,18,2,14,4,15,2,18,1,8,3,15,1,14,9,3,2,14,2,15,2,14,2,3,3,14,3,3,1,16,3,3,1,14,2,16,7,14,3,17,1,16,3,17,1,14,2,15,1,14,3,16,27,17,2,16,5,17,1,14,1,17,1,16,11,14,7,16,5,17,1,14,8,17,1,16,3,17,3,16,3,14,2,16,12,14,11,17,1,16,19,17,3,16,11,17,2,16,4,17,4,16,6,17,2,16,2,17,2,14,1,17,5,14,22,3,2,14,64,15,1,14,5,15,2,14,5,15,8,8,3,15,7,8,1,15,1,14,6,15,5,14,4,15,1,8,12,7,2,14,9,15,2,14,5,15,1,8,23,7,2,8,14,10,1,8,12,10,14,8,4,10,17,8,2,10,56,8,2,10,4,8,4,10,9,8,37,10,15,8,2,10,6,8,6,18,2,14,1,18,1,8,2,10,44,8,3,10,22,8,8,4,5,19,4,4,9,8,6,4,11,19,8,4,74,19,6,4,5,10,36,4,8,19,6,4,11,19,5,4,6,10,1,8,3,10,17,8,9,10,2,8,10,10,4,8,5,10,4,8,7,18,2,8,3,10,20,18,1,4,4,19,5,4,903,},
{4,856,3,1,16,2,3,3,16,2,17,5,14,1,3,6,14,1,3,1,16,4,7,1,8,1,14,1,16,3,3,2,4,26,18,1,3,1,16,3,3,1,14,2,3,2,18,2,10,1,18,1,3,1,16,41,14,3,17,1,16,6,17,1,14,9,17,1,16,4,14,3,8,5,18,1,8,4,18,3,8,7,10,1,8,7,18,3,8,2,10,3,8,5,10,3,8,7,10,3,8,4,10,3,8,3,10,13,8,13,18,2,15,1,14,3,15,1,8,4,15,1,14,10,3,1,14,2,15,3,14,1,3,3,14,1,15,1,14,2,3,1,16,2,3,1,14,3,16,6,14,3,17,1,16,3,14,2,15,2,14,3,16,27,17,2,16,5,17,3,16,11,14,7,16,6,14,8,17,1,16,3,17,3,16,3,14,2,17,1,16,10,17,1,14,8,16,2,17,2,16,6,17,3,16,22,17,5,16,2,17,5,16,10,17,2,16,5,17,2,14,87,15,9,14,4,15,7,8,4,15,10,14,5,15,6,14,4,8,13,7,1,14,15,15,1,8,9,15,4,8,5,7,2,8,4,7,2,8,27,10,13,8,4,10,19,8,1,10,56,8,2,10,3,8,6,10,8,8,12,10,1,8,24,10,11,8,1,10,4,8,1,10,7,8,7,18,1,14,1,8,2,10,24,4,8,10,12,8,3,10,17,8,6,9,1,8,1,9,1,8,1,9,1,10,1,4,5,19,6,4,9,9,2,8,1,9,1,4,11,19,10,4,76,19,4,4,2,19,1,4,2,10,34,4,2,19,4,4,7,19,1,4,14,19,3,4,7,18,2,8,2,10,11,8,1,10,4,8,9,10,2,8,10,10,3,8,5,10,5,8,7,18,2,8,4,10,21,4,3,19,5,4,903,},
{4,856,3,1,16,3,3,1,14,1,16,2,17,4,14,3,3,4,14,3,16,3,17,1,14,1,15,1,17,1,16,4,3,1,18,1,4,24,18,1,3,1,16,2,3,2,14,3,3,2,18,1,4,2,18,1,3,2,16,41,14,2,17,1,16,6,17,1,14,9,16,6,14,2,15,1,8,9,18,3,8,20,10,4,8,13,10,3,8,5,10,2,8,2,18,1,8,1,10,13,8,4,10,2,8,7,18,2,15,1,14,3,15,1,18,1,8,3,15,1,14,13,15,2,14,2,3,2,14,1,15,3,14,2,16,3,14,4,16,5,14,4,17,1,16,2,17,1,14,2,15,1,14,3,16,36,17,2,16,10,17,1,14,2,15,1,14,3,16,6,14,8,17,6,16,3,17,1,14,2,16,12,14,8,16,4,17,3,16,3,17,1,14,2,17,2,16,28,17,4,16,18,17,1,14,33,17,2,14,52,15,10,14,2,15,8,8,4,15,9,8,1,15,2,14,4,15,4,14,5,15,1,8,12,7,1,14,15,15,1,8,9,15,4,8,5,7,2,8,2,7,2,14,1,7,2,8,26,10,13,8,4,10,81,8,6,10,8,8,13,10,3,8,22,10,24,8,1,10,3,8,2,18,2,8,3,10,20,4,14,10,9,8,2,10,16,8,7,10,1,4,11,19,6,4,14,19,3,4,7,19,10,4,78,19,5,4,4,10,31,4,2,19,6,4,24,19,5,4,4,18,1,10,1,8,1,10,10,8,2,10,3,8,9,10,2,8,9,10,4,8,5,10,7,8,1,10,1,8,3,18,1,8,2,10,25,4,2,19,5,4,903,},
{4,856,3,2,16,2,3,1,14,2,17,1,14,7,3,4,14,1,15,1,14,1,16,3,17,1,14,2,16,5,3,1,4,25,3,2,16,2,3,2,14,2,3,3,4,4,18,1,3,2,16,41,14,2,16,6,14,10,16,6,14,3,15,1,8,2,18,2,8,4,18,3,8,4,18,2,8,14,10,4,8,3,18,2,8,7,10,3,8,3,18,1,8,2,10,2,8,2,18,1,8,1,10,12,8,5,10,3,8,7,18,2,14,3,15,1,18,1,8,4,15,1,14,12,15,2,14,5,15,1,8,2,15,1,14,2,3,2,14,4,16,5,14,5,16,2,17,1,14,2,15,1,14,3,16,9,17,2,16,20,17,3,16,3,17,2,16,10,14,2,15,2,14,1,16,6,17,1,14,10,17,2,16,3,17,1,14,3,17,1,16,11,17,1,14,7,17,1,16,4,17,1,14,1,17,1,16,4,17,5,16,4,17,3,16,20,17,2,16,20,17,1,14,33,17,2,14,52,15,33,8,2,15,3,14,3,15,5,14,3,15,1,8,12,7,1,14,14,15,2,8,9,15,4,8,3,15,2,7,1,8,3,7,2,14,1,7,2,8,14,18,6,8,6,10,15,8,1,10,56,8,5,10,21,8,6,10,8,8,13,10,2,8,25,10,21,8,2,10,4,8,7,10,16,8,2,10,1,4,5,19,5,4,7,10,6,8,2,10,15,8,7,9,1,4,12,19,6,4,12,19,6,4,6,19,10,4,78,19,7,4,3,10,21,8,1,10,8,4,1,19,7,4,24,19,7,4,3,10,11,8,4,10,2,8,8,10,3,8,9,10,3,8,5,10,12,8,3,10,14,8,1,10,11,4,2,19,5,4,903,},
{4,856,18,1,3,2,16,1,3,1,14,11,3,2,14,1,15,2,14,2,16,2,17,1,14,1,17,1,16,4,3,1,18,1,4,25,18,1,3,1,16,2,3,7,4,5,3,3,16,40,14,2,17,1,16,5,14,9,17,1,16,5,17,1,14,4,15,2,18,2,8,4,18,2,8,5,14,2,15,1,8,12,10,4,8,5,18,1,8,8,10,2,8,6,10,2,8,4,10,11,8,7,10,2,8,7,18,2,15,1,14,3,15,1,8,4,15,1,14,11,15,3,14,5,15,1,8,3,15,1,14,6,3,1,16,5,14,6,17,2,14,2,15,2,14,2,16,9,14,2,16,20,17,1,6,1,17,1,16,3,17,1,14,1,17,1,16,9,14,2,15,2,16,7,17,1,14,1,15,2,14,8,17,1,16,2,17,1,14,4,17,1,16,11,17,1,14,7,17,2,16,3,14,2,17,1,16,6,17,2,16,5,17,3,16,16,17,3,16,23,17,1,14,87,15,33,8,3,15,3,14,2,15,6,14,2,15,4,7,1,8,5,10,1,8,2,7,1,14,14,15,1,8,10,15,1,7,2,15,1,8,2,15,1,7,2,8,5,7,3,8,6,10,1,8,5,18,1,8,2,18,6,8,14,10,7,8,1,10,48,8,1,10,7,8,5,10,21,8,6,10,7,8,5,7,3,8,6,10,1,8,26,10,21,8,3,10,5,8,7,10,11,8,3,9,1,18,1,10,1,4,4,19,9,4,4,10,6,8,3,10,13,8,9,4,12,19,6,4,12,19,6,4,6,19,10,4,78,19,8,4,2,10,21,8,1,10,8,4,1,19,7,4,24,19,8,4,2,10,11,8,15,10,2,8,4,18,1,8,12,10,12,8,2,10,15,8,2,10,10,4,3,19,5,4,902,},
{4,857,18,1,3,1,16,1,3,1,14,14,15,3,14,3,17,2,16,5,3,1,18,1,4,26,18,1,3,8,18,1,4,6,18,1,3,2,16,39,17,1,14,2,17,1,16,4,14,8,3,1,16,5,17,1,14,9,18,1,8,4,18,1,8,4,18,1,14,3,18,1,8,9,10,6,8,6,18,3,8,14,10,2,8,3,10,11,8,16,18,3,14,3,15,1,8,5,15,1,14,8,15,5,14,6,8,3,15,1,14,6,17,1,16,5,14,6,17,2,14,2,15,2,14,2,16,9,14,2,17,1,16,19,17,3,16,3,17,1,14,3,17,1,16,7,14,2,15,1,14,1,16,7,17,1,14,1,15,3,14,7,17,1,16,2,17,1,14,4,17,1,16,8,17,1,14,9,17,1,16,1,17,2,16,2,14,2,16,8,17,1,16,4,17,2,14,1,17,2,16,13,17,5,16,23,17,2,14,1,17,1,14,75,15,3,14,5,15,18,14,3,15,19,14,2,15,2,8,2,15,2,14,2,15,4,7,2,8,3,10,2,8,2,7,1,14,3,15,4,14,5,15,2,8,4,15,1,8,6,15,1,14,1,15,2,8,2,15,1,14,1,15,1,8,14,10,2,8,4,18,1,8,4,18,4,8,16,10,5,8,1,10,48,8,2,10,8,8,3,10,21,8,5,10,6,8,7,7,4,8,29,18,2,8,1,10,21,18,2,8,2,10,7,8,5,10,9,8,2,9,1,18,3,10,1,4,2,19,12,4,3,10,1,8,2,10,3,8,3,10,12,8,9,10,1,4,12,19,5,4,13,19,6,4,7,19,8,4,80,19,8,4,2,10,28,4,2,19,7,4,24,19,8,4,2,10,12,8,6,10,3,8,2,18,2,8,1,10,3,8,2,18,3,8,11,10,12,8,2,10,15,8,2,10,10,4,3,19,5,4,902,},
{4,858,3,1,16,1,3,1,14,14,15,3,14,4,16,6,3,1,18,1,4,27,18,1,3,6,18,1,4,8,3,2,16,39,17,1,14,2,17,1,16,4,14,8,17,1,16,4,17,1,14,10,18,1,8,10,14,3,15,1,8,7,10,7,8,8,18,1,15,1,18,1,8,13,10,3,8,1,10,10,8,4,10,3,8,8,10,1,8,3,18,2,15,1,14,1,15,2,8,5,15,1,14,2,3,2,14,3,15,6,14,6,15,1,8,2,15,2,14,5,3,1,16,4,17,1,14,6,17,1,16,1,14,6,16,9,14,2,17,1,16,18,17,1,16,5,17,2,14,4,17,1,16,5,14,3,15,1,14,1,16,7,17,1,14,1,15,4,14,5,17,1,16,3,17,1,14,4,16,8,17,1,14,9,17,1,16,3,17,1,16,2,17,2,16,9,17,1,16,2,17,2,14,3,17,2,16,6,17,11,16,24,17,5,14,72,15,5,14,2,15,19,14,14,15,3,14,3,15,1,14,4,15,2,8,3,15,1,14,3,15,1,14,2,7,2,8,3,10,2,8,2,7,1,14,3,15,6,14,1,15,3,8,11,15,2,14,1,15,2,8,2,15,1,14,1,15,1,8,14,10,2,8,10,18,3,8,16,10,5,8,2,10,47,8,2,10,39,8,11,7,4,8,33,10,19,8,1,18,1,14,1,18,1,8,2,10,6,8,5,10,9,8,2,18,4,10,1,4,2,19,12,4,3,10,1,8,3,10,16,8,9,18,1,4,31,19,6,4,96,19,7,4,3,10,25,4,4,19,7,4,24,19,8,4,5,10,10,8,5,10,4,8,1,18,2,8,1,10,3,8,2,18,3,15,1,8,9,10,30,8,2,10,11,4,2,19,5,4,902,},
{4,815,18,1,4,42,3,1,16,3,14,13,15,3,14,2,15,1,14,1,17,1,16,6,3,2,4,28,3,5,4,9,18,1,3,1,16,40,14,2,17,1,16,4,17,1,14,7,17,1,16,4,17,1,14,10,18,1,8,4,18,1,8,2,10,1,8,2,18,1,14,1,15,1,8,8,10,6,8,1,10,1,8,7,18,3,8,3,10,1,8,9,10,14,8,3,10,4,8,1,18,1,15,1,18,1,8,7,18,3,15,4,8,2,9,1,8,2,15,1,14,1,16,2,3,2,14,2,15,1,8,3,15,1,14,7,15,1,8,2,15,1,14,7,16,4,14,7,17,1,16,2,14,4,16,10,17,1,16,20,17,1,16,5,17,2,14,5,17,1,16,4,14,5,16,8,14,1,15,4,14,4,16,5,17,1,14,4,16,8,17,1,14,7,17,1,16,19,17,4,14,4,6,1,17,14,16,20,17,1,16,8,17,1,16,1,17,4,14,70,15,23,14,18,15,1,14,9,15,2,8,3,15,1,14,3,15,1,14,2,7,2,8,4,10,1,8,2,7,1,14,2,15,1,8,6,15,2,8,13,15,2,14,1,15,2,8,3,15,2,8,7,10,3,8,7,15,2,8,8,18,2,8,4,10,1,8,11,10,5,8,2,10,4,8,2,10,6,8,2,10,33,8,1,10,39,8,12,7,4,8,33,10,20,8,1,18,2,8,3,10,5,8,6,10,8,8,2,18,4,4,2,19,13,4,3,18,1,9,1,8,3,10,14,8,9,9,1,4,32,19,6,4,96,19,8,4,2,10,24,4,3,19,9,4,24,19,7,4,7,10,3,8,1,10,5,8,5,10,4,8,1,18,1,14,1,18,1,8,1,10,2,8,2,18,1,14,2,15,1,18,1,8,7,10,3,8,2,10,40,4,2,19,5,4,901,},
{4,814,3,2,4,42,3,1,16,4,14,12,15,3,14,2,15,2,14,1,16,6,3,2,18,1,4,28,18,2,3,1,18,1,4,2,19,7,4,1,18,1,16,40,14,2,17,1,16,5,17,1,14,6,17,1,16,4,17,1,14,10,18,2,8,2,18,2,8,2,10,2,8,11,10,14,8,3,18,1,8,2,10,5,8,4,18,2,8,1,10,6,8,4,10,3,8,1,18,2,8,1,10,4,8,1,15,3,8,6,18,4,15,1,14,1,15,2,8,5,15,1,14,1,16,3,3,1,14,2,8,4,15,1,14,6,15,5,14,7,16,4,14,7,16,3,14,4,16,37,17,2,14,5,17,1,16,5,14,5,16,7,14,2,15,3,14,3,17,1,16,5,17,1,14,3,17,1,16,9,14,6,17,1,16,20,17,3,6,2,17,8,16,42,17,3,14,7,17,2,14,66,15,11,18,4,15,3,14,29,15,4,14,4,15,2,7,3,8,7,7,1,14,2,15,1,8,21,15,1,14,2,15,2,8,3,15,2,8,7,10,2,8,8,15,2,8,13,10,3,8,3,10,4,8,3,10,5,8,3,10,3,8,2,10,6,8,2,10,63,8,4,10,5,8,14,7,3,8,23,7,1,8,3,10,2,8,4,10,20,8,7,10,1,8,9,10,8,8,2,9,1,18,3,4,2,19,15,4,2,9,1,8,1,18,2,8,1,10,13,8,9,9,1,4,33,19,4,4,98,19,7,4,2,10,24,4,2,19,10,4,25,19,5,4,8,10,4,8,1,10,4,8,5,10,4,8,1,18,1,14,1,18,1,8,2,10,1,8,2,18,1,14,2,15,1,8,7,10,5,8,1,10,40,4,3,19,6,4,899,},
{4,814,3,2,4,42,3,1,16,4,14,3,15,2,14,12,15,2,14,1,16,8,3,1,4,33,19,9,4,1,3,1,16,39,14,2,17,1,16,6,17,1,14,6,16,5,17,1,14,3,15,1,8,3,15,1,14,2,18,1,8,2,18,2,8,2,10,2,8,11,10,7,8,5,10,2,8,6,10,5,8,4,18,2,8,1,10,5,8,5,10,3,8,4,10,4,8,1,18,1,15,2,18,1,8,3,18,4,15,3,14,1,15,2,8,5,15,1,14,1,3,1,16,2,3,1,14,2,15,1,8,3,15,1,14,4,15,8,14,2,15,3,14,2,16,3,14,7,16,3,17,1,14,3,17,1,16,37,17,1,14,5,16,6,14,6,17,1,16,5,14,8,16,6,17,1,14,3,16,10,17,1,14,1,17,4,16,22,17,4,16,5,17,1,16,45,17,2,14,6,17,3,14,67,15,10,18,4,15,4,14,29,15,3,14,3,15,4,7,1,8,7,7,2,14,2,15,1,8,21,15,1,14,3,15,1,8,22,15,1,8,14,10,18,8,2,10,4,8,2,10,6,8,2,10,11,8,1,10,50,8,16,7,1,8,33,7,2,8,2,10,3,8,4,10,21,8,14,10,10,8,5,4,2,19,16,4,1,9,1,8,2,10,15,8,7,10,3,4,137,19,4,4,3,10,1,9,1,10,21,4,3,19,9,4,28,19,2,4,10,10,9,8,5,10,3,8,2,18,3,8,5,18,3,8,6,10,6,8,2,10,40,4,3,19,6,4,898,},
{4,813,18,1,3,2,4,42,3,1,16,3,17,1,14,3,15,2,14,12,15,2,14,1,16,4,17,1,16,3,3,1,4,31,19,11,4,1,18,1,3,1,16,38,14,1,17,3,16,6,14,6,17,1,16,4,17,1,14,2,15,1,8,5,14,3,18,4,8,2,10,2,8,11,10,6,8,7,10,2,8,6,10,3,8,5,18,2,8,1,10,4,8,6,10,3,8,4,10,4,8,1,18,2,15,1,18,1,15,3,18,3,14,6,15,1,8,5,15,1,14,1,3,3,16,1,14,2,15,1,8,2,15,2,14,4,15,10,8,1,15,2,14,2,16,3,17,1,14,6,16,3,14,6,17,1,16,35,14,5,17,1,16,6,14,6,16,5,17,2,14,7,16,6,17,1,14,2,17,1,16,11,17,2,16,18,17,2,16,5,17,3,16,53,17,1,14,6,17,3,14,67,15,8,18,5,15,5,14,22,15,2,14,5,15,3,14,3,15,4,8,7,7,2,14,3,15,1,8,21,15,1,14,4,15,1,8,36,10,17,8,3,10,5,8,1,10,19,8,2,10,42,8,3,10,4,8,16,7,1,8,32,7,3,8,2,10,3,8,6,10,2,8,1,10,17,8,13,10,10,8,4,10,1,4,1,19,17,4,1,10,1,8,2,18,1,10,14,8,7,10,3,4,6,19,6,4,136,10,15,18,1,4,6,19,6,4,40,19,1,4,5,10,9,8,3,10,3,8,2,18,3,8,5,18,1,8,7,10,5,8,6,10,37,18,1,4,3,19,5,4,898,},
{4,812,18,1,3,2,4,42,18,1,3,1,16,3,17,1,14,4,15,1,14,7,3,1,14,7,17,1,16,2,14,2,16,3,3,1,4,30,19,12,4,2,18,1,3,1,16,36,17,1,14,1,17,2,14,3,17,1,16,3,14,4,17,1,14,2,17,1,16,3,17,1,14,2,8,2,10,2,8,2,14,3,18,4,8,2,10,2,8,6,18,2,8,3,10,5,8,8,10,2,8,3,18,1,8,13,10,4,8,4,10,4,8,4,10,4,8,5,18,1,15,3,18,2,14,7,15,2,8,4,15,1,14,3,3,1,16,1,3,1,14,1,15,2,8,1,15,1,14,7,15,3,8,5,9,1,8,1,15,1,14,2,16,3,17,1,14,5,17,1,16,3,14,7,17,1,16,34,14,5,16,7,14,6,16,5,17,3,14,6,17,1,16,4,17,4,16,33,17,2,16,4,17,2,16,54,17,1,14,6,17,3,14,41,3,1,14,25,15,5,18,5,15,1,18,2,15,5,14,3,15,12,14,4,15,8,14,3,15,9,8,6,7,2,14,5,15,2,8,19,15,1,14,4,15,2,8,35,10,17,8,3,10,25,8,3,10,40,8,5,10,3,8,8,18,2,8,39,7,4,8,2,10,3,8,5,10,20,8,13,10,15,4,2,19,16,4,1,9,1,8,1,10,11,18,4,10,1,8,8,10,2,4,6,19,6,4,136,10,13,4,9,19,6,4,40,19,4,4,2,10,11,8,1,10,4,8,2,18,2,8,1,10,1,8,12,10,2,8,11,10,34,18,1,4,3,19,6,4,897,},
{4,811,19,1,3,2,18,1,4,42,3,2,16,4,14,12,3,1,14,1,3,2,14,4,16,8,3,1,18,1,4,29,19,6,4,3,19,4,4,2,18,1,3,1,16,35,17,3,14,5,16,3,14,4,17,1,14,2,17,1,16,3,17,1,14,2,8,5,15,1,14,3,18,3,8,3,10,1,8,7,14,1,18,1,8,2,10,5,8,9,10,2,8,3,18,2,8,7,10,1,8,4,10,4,8,3,10,5,8,3,10,4,8,7,15,3,18,2,14,7,15,2,8,4,15,1,14,3,3,3,14,2,15,1,8,1,15,1,14,8,15,2,8,3,9,3,8,1,15,1,14,3,16,2,14,6,16,3,17,1,14,8,16,34,14,4,16,4,17,1,14,1,16,2,14,4,17,1,16,5,17,2,16,1,17,1,14,6,17,8,16,34,17,8,16,54,17,1,14,2,17,1,14,2,17,5,14,66,15,5,18,2,15,28,14,1,15,2,8,5,15,8,8,2,15,4,8,6,7,2,14,5,15,3,8,18,15,3,14,3,15,2,8,8,15,1,8,25,10,16,8,4,10,25,8,3,10,40,8,6,10,1,8,7,18,2,14,2,7,1,8,39,7,3,8,3,10,2,8,5,10,20,8,13,10,16,4,4,19,13,4,1,10,12,18,3,10,4,8,1,10,1,8,6,9,1,4,6,19,6,4,136,10,13,4,9,19,6,4,40,19,5,4,1,10,16,8,5,10,1,8,26,10,2,8,1,10,11,8,3,10,15,8,2,4,5,19,5,4,896,},
{4,812,3,2,4,42,18,1,3,1,16,5,17,2,14,10,3,4,14,3,17,1,16,9,18,1,4,39,19,3,4,2,18,1,3,1,16,38,17,1,14,4,16,2,17,1,14,3,17,1,16,1,14,3,17,1,16,2,14,3,15,1,8,3,15,1,14,4,18,1,8,4,10,2,8,7,18,2,8,1,10,5,8,10,10,2,8,9,10,4,8,3,10,4,8,4,10,4,8,4,10,4,8,7,15,3,18,2,14,7,15,2,8,4,15,1,14,4,3,2,14,2,15,1,8,1,15,1,14,8,15,4,8,2,9,2,8,1,15,3,14,8,17,1,16,3,14,9,16,9,17,2,16,22,17,1,14,4,16,4,14,2,17,1,16,2,14,3,16,6,17,2,16,3,17,4,14,6,17,1,16,98,17,1,14,1,17,4,14,1,17,5,14,65,15,5,8,2,18,1,15,13,8,2,15,18,8,5,15,4,8,3,15,3,8,7,7,1,14,3,7,2,14,3,15,1,8,6,15,2,8,3,10,3,8,6,15,1,14,4,15,1,8,8,15,1,7,1,8,20,10,2,8,3,10,14,8,6,10,23,8,4,10,32,8,1,10,7,8,14,18,1,14,4,7,1,8,40,7,1,8,4,10,1,8,6,10,20,8,12,10,10,8,5,10,1,4,5,19,10,4,3,10,12,18,2,10,7,8,7,10,1,4,5,19,6,4,138,10,10,18,1,4,9,19,5,4,41,19,5,4,3,10,13,8,5,10,3,8,4,15,1,18,3,8,10,18,1,14,2,18,1,8,3,10,14,8,3,10,4,8,1,10,11,8,1,18,3,4,2,19,5,4,896,},
{4,812,19,1,18,1,19,1,4,37,19,2,4,2,3,1,16,8,14,10,3,4,14,3,17,1,16,9,15,1,10,1,4,5,19,4,4,33,18,1,3,1,16,40,14,4,16,2,17,1,14,3,17,1,16,1,14,3,17,1,16,2,14,11,18,2,8,3,10,4,8,3,10,3,8,3,10,5,8,5,10,2,8,12,10,5,8,3,10,5,8,4,10,4,8,1,18,2,8,1,10,4,8,10,18,3,14,4,15,1,14,1,15,2,8,4,15,1,14,4,3,1,14,2,15,1,8,3,15,1,14,7,15,2,14,2,15,1,8,4,15,2,8,1,15,2,14,7,16,3,14,5,16,2,14,2,16,8,17,1,14,2,17,1,16,21,14,4,17,1,16,4,17,1,14,1,17,1,16,2,14,1,15,1,14,1,17,1,16,5,17,1,16,8,17,1,14,5,16,99,17,2,14,5,17,3,16,1,17,2,14,45,15,1,14,18,15,2,8,1,15,1,8,3,18,1,15,13,8,1,15,8,8,4,15,3,14,4,15,1,8,4,15,2,14,1,15,2,8,3,15,3,8,6,7,2,14,2,7,2,15,4,8,6,15,2,8,3,10,3,8,7,15,1,14,3,15,1,8,8,15,1,7,1,8,7,15,2,8,11,10,2,8,4,10,13,8,6,10,23,8,4,10,32,8,2,10,5,8,9,18,1,8,5,18,1,14,3,7,1,8,42,7,2,8,2,10,2,8,6,10,20,8,11,10,7,8,3,18,5,10,1,4,6,19,8,4,3,18,1,10,19,8,1,10,1,8,7,9,1,10,1,4,4,19,9,4,143,18,3,4,55,19,5,4,5,10,10,8,4,10,6,8,2,18,1,14,4,15,1,8,9,18,1,14,3,18,1,8,1,10,16,8,3,10,15,8,1,18,2,3,1,18,1,4,1,19,5,4,896,},
{4,851,19,4,4,1,3,1,16,10,14,13,15,1,14,2,16,9,3,1,9,1,4,4,19,6,4,33,3,1,16,40,17,1,14,2,17,1,16,3,14,4,17,4,16,3,14,7,3,2,14,2,18,1,8,4,10,4,8,2,10,4,8,3,10,4,8,20,10,4,8,3,10,5,8,5,10,4,8,2,18,1,8,1,10,4,8,11,18,2,14,4,15,1,18,2,8,5,15,1,14,7,15,2,8,1,15,2,14,13,15,4,8,3,15,5,14,2,16,4,17,1,14,3,16,13,17,1,14,1,17,1,16,21,17,1,14,4,17,1,16,9,14,1,15,2,16,15,17,1,14,4,17,1,16,68,17,4,16,28,17,5,14,1,17,5,14,43,15,5,14,16,15,3,8,6,18,1,15,2,14,4,15,16,8,1,15,1,8,1,15,1,8,1,15,1,14,4,15,2,8,3,15,5,8,3,15,1,8,7,7,7,15,4,8,6,15,2,8,3,10,3,8,7,15,1,14,3,15,1,8,8,15,1,8,6,15,4,8,18,10,12,8,6,10,15,8,3,10,5,8,4,10,18,8,3,10,11,8,3,10,5,8,15,18,1,14,2,18,1,8,35,7,2,8,6,7,1,8,11,10,19,8,12,10,1,8,10,18,4,4,7,19,6,4,3,18,3,8,1,10,5,18,4,10,8,8,1,10,1,8,9,4,4,19,10,4,200,19,9,4,2,10,9,8,1,18,2,8,1,10,7,8,1,18,1,14,4,15,1,8,9,18,1,14,3,18,1,8,2,10,11,8,1,10,3,8,4,10,14,8,2,18,1,3,1,18,1,4,2,19,4,4,896,},
{4,851,19,3,4,1,18,1,3,1,16,11,14,10,15,2,8,1,15,1,14,5,16,6,3,1,18,1,4,4,19,5,4,33,18,1,3,1,16,40,14,1,17,1,16,4,17,1,14,1,15,1,14,2,17,1,16,5,14,6,3,4,14,1,18,1,8,4,10,10,8,3,10,4,8,21,10,4,8,2,10,6,8,4,10,5,8,3,10,4,8,11,18,2,14,4,15,1,8,5,15,2,14,10,15,3,14,15,15,2,8,2,15,3,8,3,15,1,14,1,16,4,14,4,16,38,14,5,16,9,14,1,8,1,15,1,16,14,17,1,14,5,17,1,16,31,17,1,16,29,17,3,16,3,17,6,16,31,17,6,14,29,15,1,14,9,3,3,14,2,15,4,14,7,15,2,14,3,15,1,18,2,15,4,8,4,18,1,8,5,15,1,14,4,15,1,8,1,15,2,14,1,15,17,14,3,15,3,8,3,15,4,8,2,15,1,8,5,7,2,14,4,7,4,15,4,8,7,15,1,8,6,10,2,8,4,15,1,14,2,15,2,8,40,10,8,8,3,10,1,8,4,10,14,8,1,18,2,8,1,10,3,8,7,10,15,8,7,10,8,8,5,10,6,8,5,10,1,8,8,18,4,8,5,10,1,8,27,7,3,8,19,10,19,8,6,10,2,8,3,18,1,8,7,10,3,8,2,18,2,4,8,18,10,8,1,10,4,18,3,10,13,8,3,10,3,8,2,9,1,4,4,19,10,4,200,19,10,4,2,10,8,8,1,18,2,8,1,10,7,8,2,14,5,8,2,10,1,8,7,18,1,14,3,18,1,8,1,10,10,8,2,10,5,8,2,10,13,8,1,10,2,8,1,18,3,4,2,19,3,4,896,},
{4,850,19,4,4,1,18,1,3,1,16,11,14,7,15,1,14,1,15,2,8,2,15,1,14,4,15,1,14,1,16,7,3,1,18,1,4,3,19,4,4,34,18,1,3,1,16,46,14,1,15,2,14,1,16,6,3,1,14,5,3,4,14,2,8,5,10,8,8,3,10,4,8,23,10,2,8,3,10,5,8,4,10,7,8,2,10,4,8,12,18,2,14,3,15,1,8,5,15,2,14,11,15,2,14,16,15,2,8,1,15,3,8,3,15,1,17,1,16,4,17,1,14,2,17,1,16,27,17,1,14,2,17,1,16,7,14,2,15,1,14,2,16,9,14,1,15,2,16,14,17,6,16,31,17,3,16,23,17,3,16,1,17,1,14,3,17,4,14,1,17,2,14,1,17,1,16,33,17,3,14,18,3,1,14,11,15,2,14,8,3,3,14,1,15,1,18,1,8,1,18,1,15,1,14,7,15,2,14,3,15,1,8,3,15,3,8,4,18,1,8,5,15,1,14,4,15,3,14,5,15,6,14,4,15,11,8,2,15,4,8,8,7,1,14,5,7,4,15,3,8,21,15,2,8,44,10,5,8,5,10,1,8,4,10,14,8,1,14,1,18,1,8,1,10,3,8,2,10,2,8,3,10,13,8,6,18,2,8,3,10,6,8,3,18,2,8,1,10,6,8,3,10,7,8,4,18,4,8,3,10,2,8,25,7,5,8,19,10,19,8,5,10,4,8,2,18,2,8,4,10,6,8,1,18,3,4,4,18,3,3,8,14,1,18,2,10,2,8,3,10,21,8,2,9,1,10,1,4,4,19,9,4,201,19,9,4,2,10,8,8,1,18,2,8,1,10,8,8,2,14,4,8,11,18,4,8,2,10,35,8,1,18,2,4,3,19,2,4,896,},
{4,851,19,3,4,2,3,1,16,12,14,6,15,1,14,3,15,2,14,6,16,8,3,5,4,1,19,3,4,35,18,1,3,1,16,45,14,1,15,1,14,2,16,6,3,1,14,4,3,4,14,2,18,1,8,9,10,3,8,4,10,3,8,11,18,1,8,17,10,3,8,6,10,7,8,2,10,4,8,5,10,3,8,5,18,1,14,3,15,1,8,3,9,1,8,2,15,1,14,10,15,3,14,15,15,10,14,1,16,6,14,2,16,15,17,2,16,10,17,1,14,3,17,1,16,4,17,1,16,3,14,4,16,9,14,3,16,51,17,3,16,2,17,1,16,18,17,1,14,14,17,2,14,2,17,1,16,28,17,6,14,1,17,1,14,29,15,2,14,8,3,2,14,2,15,1,18,1,8,1,18,1,15,2,14,6,15,2,14,4,15,1,18,1,15,4,8,10,15,1,14,5,15,2,14,6,15,4,14,6,15,9,8,3,15,4,8,8,7,1,14,5,7,4,14,1,15,2,8,82,10,9,8,1,10,3,8,1,18,3,8,2,10,2,8,1,10,3,8,3,10,10,8,9,18,3,8,2,10,6,8,3,18,1,8,2,10,17,8,4,18,3,8,30,7,5,8,10,7,3,8,4,10,22,8,4,10,5,8,4,10,11,8,1,18,8,3,7,14,1,3,1,18,2,8,1,10,3,8,1,10,4,18,3,10,14,8,4,9,1,10,1,4,1,19,10,4,202,19,8,4,6,10,4,8,4,10,7,8,4,18,1,15,3,8,11,18,2,8,3,10,35,8,1,18,3,4,2,19,5,4,893,},
{4,850,19,5,4,1,18,1,16,14,14,16,16,12,3,1,18,1,4,1,19,1,4,37,18,1,3,1,16,44,14,4,16,6,3,1,14,10,18,1,8,16,10,3,8,6,10,3,8,2,18,2,8,25,10,7,8,1,10,5,8,5,10,4,8,5,18,1,14,3,15,1,8,1,10,3,8,1,15,1,14,2,3,1,14,6,15,3,14,17,15,9,14,1,16,7,17,1,16,2,17,1,16,13,17,2,16,8,17,1,14,4,16,4,14,2,17,1,16,3,14,3,16,9,17,1,14,2,16,23,17,7,16,22,17,1,16,3,17,1,16,17,17,1,14,14,17,1,16,2,17,1,14,1,17,2,16,2,17,5,16,19,17,6,14,2,17,2,16,3,17,1,14,2,3,4,14,1,3,2,14,15,15,2,14,11,15,3,18,3,15,1,14,5,15,3,14,5,15,4,18,1,8,10,15,1,14,16,15,16,8,4,15,4,8,8,7,1,14,4,7,4,14,1,15,1,8,17,15,4,8,3,10,3,8,36,18,1,8,20,10,6,8,4,10,1,8,3,18,2,8,3,10,5,8,3,10,8,8,5,18,1,8,6,18,2,8,3,10,7,8,3,10,11,8,1,10,7,8,3,18,2,8,31,7,6,8,8,7,2,14,1,7,2,8,3,10,22,8,4,10,21,18,2,8,3,18,5,14,2,3,4,18,3,8,2,10,7,18,4,10,12,8,7,10,1,4,1,19,9,4,202,19,9,4,5,10,5,8,1,10,9,8,6,15,3,8,7,18,2,8,6,10,26,8,1,10,8,8,3,18,1,4,2,19,6,4,892,},
{4,850,19,4,4,2,3,1,16,13,17,1,14,17,16,11,3,2,4,40,3,1,16,44,14,3,17,1,16,5,17,1,14,10,18,2,8,16,10,3,8,6,10,3,8,2,18,2,8,23,10,9,8,2,10,4,8,6,10,3,8,6,18,1,14,2,15,1,8,1,10,3,8,1,15,1,14,2,16,1,3,3,14,3,15,3,14,17,15,8,14,2,16,8,17,3,16,14,17,1,16,7,17,1,14,5,16,3,17,1,14,3,16,4,14,2,16,8,17,1,14,3,16,22,17,1,14,8,16,42,17,1,14,15,17,1,16,2,17,1,14,2,17,2,16,1,17,2,14,1,17,2,16,19,17,1,14,1,17,7,16,5,17,1,14,1,3,9,14,14,15,2,14,10,15,4,18,2,15,1,14,4,18,3,15,2,14,5,15,1,18,3,8,10,18,1,15,1,14,14,15,10,8,2,15,6,8,15,7,1,14,3,7,5,14,1,15,1,8,17,15,4,8,3,10,3,8,52,15,3,8,22,10,4,8,6,10,4,8,16,18,1,8,3,10,6,8,2,10,20,8,12,10,6,8,17,7,6,8,8,7,2,14,1,7,2,18,1,8,2,10,23,8,4,10,20,8,1,18,1,8,1,10,6,8,2,14,2,3,3,18,1,8,5,10,7,18,2,10,13,8,7,9,1,4,1,19,7,4,204,19,12,4,2,10,19,8,2,7,1,15,2,8,6,18,1,15,1,14,1,15,1,18,1,8,4,10,26,8,2,10,9,8,2,4,3,19,5,4,892,},
{4,850,19,3,4,2,18,1,3,1,16,12,17,2,14,5,16,2,14,2,16,2,14,6,16,11,3,2,4,40,18,1,3,1,16,42,17,1,14,2,17,1,16,6,14,4,15,2,8,5,15,2,8,11,10,3,8,3,10,3,8,6,10,2,8,2,18,1,8,9,10,1,8,6,10,2,8,5,10,9,8,3,10,4,8,16,15,3,8,1,10,2,9,1,15,2,14,2,16,1,3,2,16,1,3,1,14,3,15,2,14,17,15,8,14,2,16,8,14,3,17,1,16,21,14,5,17,1,16,3,17,1,14,3,16,5,17,1,16,7,14,4,16,22,17,1,14,10,17,1,16,14,17,4,16,17,17,2,16,1,17,1,14,17,17,1,16,1,17,1,14,4,17,1,16,1,17,4,16,20,17,9,16,5,17,1,14,1,3,9,14,14,15,2,14,8,15,1,18,1,8,1,18,1,15,2,18,3,15,1,14,3,8,3,18,2,15,1,14,4,18,1,8,14,18,1,14,14,15,3,8,9,15,5,8,16,7,2,14,1,7,6,15,1,8,79,7,1,15,3,14,4,18,1,8,17,10,4,8,22,10,1,8,3,18,4,8,1,10,29,8,4,10,14,8,31,7,2,8,8,10,19,8,4,10,20,8,2,10,9,18,1,14,1,17,2,14,1,8,6,10,8,18,1,10,13,8,7,9,1,4,1,19,6,4,206,19,11,4,4,10,17,8,2,7,1,14,1,15,1,8,6,15,1,14,3,18,1,8,4,10,8,8,4,10,14,8,2,10,11,18,1,4,3,19,4,4,892,},
{4,850,19,2,4,1,3,3,16,13,17,1,14,5,16,3,14,1,3,1,16,2,14,5,16,12,3,1,18,1,4,41,3,1,16,42,17,4,16,6,14,3,15,1,8,7,18,1,15,1,8,11,10,4,8,3,10,3,8,5,10,1,8,12,10,2,8,5,10,4,8,3,10,10,8,3,10,4,8,10,18,2,8,4,18,1,15,1,18,1,8,1,10,2,8,1,15,1,14,3,3,2,16,3,3,1,14,2,15,1,14,19,15,8,14,1,17,1,16,7,14,3,17,2,16,20,17,1,14,2,17,1,16,5,17,1,14,3,16,13,14,3,17,1,16,21,17,1,14,12,16,14,17,1,6,1,14,1,6,1,17,1,16,15,17,4,14,1,7,1,14,3,17,1,16,1,17,2,14,2,17,2,14,4,17,3,14,4,17,1,16,27,17,1,16,1,17,4,16,6,17,1,14,2,3,9,14,14,15,3,14,6,15,1,18,1,8,2,18,1,15,2,18,1,8,1,18,1,15,1,14,2,15,1,8,6,15,1,14,2,15,1,8,16,15,2,14,12,15,2,8,10,15,6,8,15,7,9,15,1,8,77,15,4,8,1,15,1,14,5,18,1,8,4,10,3,8,3,10,2,8,4,10,5,8,15,10,1,8,5,10,3,8,1,18,1,14,3,18,1,8,1,10,2,8,1,10,44,8,42,10,18,8,3,10,20,8,1,10,7,8,1,10,2,8,1,7,1,14,3,8,1,10,2,8,3,10,19,8,1,10,1,8,8,9,1,4,218,19,7,4,5,10,14,8,3,14,2,15,1,8,6,14,4,18,1,8,3,18,1,8,1,10,6,8,6,10,13,8,3,10,11,18,1,4,2,19,5,4,891,},
{4,851,19,1,3,2,16,15,17,1,14,4,16,8,14,5,16,12,3,1,4,42,3,1,16,40,17,1,14,1,17,2,16,3,17,1,14,1,17,1,3,1,14,3,15,2,8,7,18,2,8,9,10,6,8,3,10,4,8,16,10,4,8,3,10,4,8,4,10,4,8,2,10,4,8,4,10,3,8,10,18,3,8,9,15,1,14,2,3,1,14,3,3,1,16,2,3,1,14,24,15,1,14,1,15,1,8,3,14,2,16,7,14,6,17,1,16,18,17,1,14,1,17,1,16,5,17,2,14,3,16,7,17,1,16,5,14,3,17,1,16,20,17,2,14,12,17,1,16,13,17,1,6,1,14,1,6,1,17,1,16,14,17,2,6,1,14,3,7,2,14,1,17,1,16,3,17,3,16,3,17,1,14,2,17,2,14,5,17,1,16,39,17,1,14,4,3,1,14,2,3,4,14,15,15,2,14,5,15,1,8,4,18,1,15,3,8,2,18,1,15,1,14,1,15,1,8,7,18,1,15,1,18,1,8,17,18,1,15,4,14,8,15,4,8,8,15,6,8,15,7,9,15,1,8,40,18,1,8,33,7,2,14,2,7,3,8,1,15,1,14,2,3,2,14,1,15,1,8,2,10,5,8,3,10,2,8,4,10,6,8,14,10,2,8,4,10,3,8,2,14,4,8,1,10,2,8,2,10,49,8,21,10,3,8,14,10,16,8,4,10,27,18,1,8,1,10,1,8,2,14,1,7,1,8,1,10,24,8,11,10,1,4,218,19,10,4,2,10,14,8,2,15,1,14,2,15,1,8,5,18,1,14,4,8,3,18,3,8,1,10,6,8,5,10,13,8,4,10,11,4,3,19,6,4,889,},
{4,851,18,1,3,1,16,16,17,1,14,3,17,1,16,8,14,4,16,13,3,1,4,40,19,1,4,1,3,1,16,40,14,2,17,1,16,3,17,1,14,8,15,2,8,17,10,6,8,3,10,3,8,17,10,5,8,2,10,4,8,1,18,1,8,2,10,4,8,3,10,3,8,4,10,3,8,10,18,1,14,1,18,1,8,2,10,1,8,5,15,1,14,2,3,2,14,3,3,3,14,27,15,1,8,3,15,1,14,1,16,6,17,1,14,7,16,18,17,3,16,4,14,4,17,1,16,7,17,1,14,2,16,4,17,1,14,2,16,20,17,2,14,13,17,1,16,14,17,1,6,1,17,2,16,13,17,1,14,9,16,4,17,3,16,4,17,1,14,1,17,2,14,5,17,1,16,38,17,2,14,8,3,2,14,15,15,2,14,6,15,1,8,2,10,1,8,1,18,1,15,2,18,1,8,2,18,1,15,1,14,1,15,1,8,21,18,1,8,6,18,2,8,2,18,1,15,1,18,1,15,4,14,2,15,4,18,1,8,6,15,6,8,15,7,9,8,31,10,1,8,42,7,1,14,5,7,1,8,3,7,1,14,4,8,2,10,6,8,4,10,1,8,3,10,8,8,13,10,3,8,5,10,1,8,2,18,1,14,1,3,1,14,1,8,1,10,2,18,2,10,21,18,1,10,1,8,1,10,27,8,18,10,5,8,15,10,14,8,7,10,24,18,1,10,3,8,3,10,26,8,11,4,222,19,6,4,2,10,14,8,3,7,2,8,3,14,2,15,2,14,3,15,1,8,3,18,1,14,2,18,1,8,2,10,23,8,4,10,10,4,4,19,6,4,888,},
{4,850,18,1,3,4,16,15,17,1,14,1,6,1,17,1,16,7,3,1,14,2,16,15,3,1,4,38,19,3,4,1,18,1,3,1,16,29,17,1,14,1,17,1,16,6,17,1,14,3,16,3,14,10,15,1,8,16,10,4,8,6,10,3,8,5,10,2,8,10,10,5,8,1,10,4,8,2,18,1,8,2,10,3,8,4,10,3,8,17,14,2,18,2,8,2,10,1,8,3,15,1,14,37,15,1,8,2,9,1,8,1,15,1,14,1,16,6,17,1,14,2,17,1,14,1,15,2,14,1,16,23,17,1,14,4,17,1,16,8,17,1,14,2,16,4,17,1,14,2,17,1,16,20,14,14,17,1,16,30,17,1,14,10,17,1,16,3,17,1,14,1,17,1,16,4,17,3,14,7,16,38,17,1,14,22,15,3,14,1,15,2,14,5,15,1,18,1,8,1,10,2,8,1,18,1,15,1,14,1,15,1,8,3,18,1,15,1,18,1,8,11,10,1,8,8,18,3,8,15,18,1,15,3,14,1,15,4,7,1,15,2,8,2,15,6,8,14,7,9,8,3,15,3,8,43,10,2,8,13,7,1,8,10,7,1,14,2,17,1,14,3,7,1,8,2,7,2,14,1,7,1,8,2,10,7,8,4,10,1,8,3,10,10,8,11,10,4,8,4,10,2,8,2,14,3,8,1,10,2,18,2,10,53,8,14,10,10,8,6,18,3,8,4,10,14,8,9,10,21,18,2,10,30,18,1,10,2,8,7,9,1,4,223,19,6,4,3,10,13,8,7,7,1,14,3,15,1,14,3,8,4,18,1,14,3,18,1,8,1,10,23,8,2,18,2,8,2,10,9,4,3,19,6,4,888,},
{4,814,19,2,4,13,19,2,4,18,3,4,18,2,3,1,16,15,17,3,16,7,3,1,14,1,16,10,17,1,14,1,16,4,3,1,4,38,19,4,4,1,3,1,16,27,17,1,14,5,16,4,17,1,14,4,17,2,14,11,15,1,8,17,10,2,8,6,10,3,8,5,10,4,8,10,10,3,8,3,10,3,8,5,10,3,8,5,10,3,8,16,14,2,18,2,8,2,10,2,8,2,15,1,14,13,15,2,14,22,15,1,8,4,14,2,16,7,17,1,16,2,14,2,15,1,14,1,16,21,17,2,14,6,16,3,17,3,16,2,17,1,14,2,17,1,16,4,14,3,16,20,17,1,14,13,17,1,16,30,17,1,14,10,17,1,16,2,17,1,14,2,17,1,16,5,17,2,14,7,17,1,16,37,17,3,14,19,15,8,14,4,15,1,18,1,8,4,18,1,15,1,14,1,15,1,18,1,8,2,18,3,8,20,18,3,8,16,18,1,15,7,7,1,15,9,8,14,7,10,8,3,15,3,8,41,10,4,8,13,7,1,8,9,7,1,14,2,17,4,14,2,7,1,8,6,10,9,8,7,10,11,8,10,10,4,8,4,10,3,8,1,18,1,14,1,18,1,8,1,10,1,8,1,18,1,10,38,8,2,10,14,8,12,10,14,8,5,18,3,8,4,10,14,8,5,18,2,8,2,10,20,18,2,10,30,18,3,8,6,9,1,18,1,4,223,19,6,4,4,10,13,8,6,7,1,14,3,15,1,14,3,18,1,8,3,18,1,14,3,18,1,8,3,10,21,8,1,18,4,8,1,10,10,4,2,19,6,4,888,},
{4,814,19,3,4,2,18,1,4,8,19,4,4,16,3,2,16,1,3,1,18,3,3,1,16,35,17,1,14,2,7,1,14,1,16,3,3,1,4,38,19,4,4,2,18,1,3,1,16,23,14,3,15,3,14,3,17,2,14,10,15,2,14,7,15,1,8,25,10,3,8,4,10,5,8,17,10,2,8,4,10,4,8,5,10,3,8,16,14,2,18,3,8,1,10,3,8,1,14,13,15,3,14,22,15,1,8,4,14,1,17,1,16,5,17,1,16,4,17,1,14,3,16,21,17,1,14,7,16,3,17,1,14,2,16,2,17,1,14,2,16,5,14,3,17,1,14,1,17,2,16,16,17,1,14,14,17,1,16,20,17,1,16,8,17,1,14,16,17,1,16,6,17,1,14,6,17,1,16,38,17,2,14,19,15,2,18,1,15,2,14,2,15,2,14,5,15,1,8,4,18,1,15,1,14,1,15,1,18,1,8,7,18,2,8,16,18,3,8,3,18,3,8,12,15,6,8,3,15,7,8,13,7,3,14,3,7,4,8,4,15,3,8,27,18,1,8,10,10,6,8,24,7,2,14,2,17,3,14,3,7,1,8,4,10,5,8,3,10,2,8,8,10,10,8,11,10,3,8,3,10,4,8,1,18,2,8,1,10,2,18,1,8,1,10,12,8,1,10,24,8,4,10,15,8,9,10,9,8,2,10,6,8,4,18,2,8,4,10,18,8,1,18,3,8,2,10,19,18,1,9,1,10,33,8,6,9,1,4,224,19,6,4,4,10,16,8,3,7,1,14,2,15,5,18,1,8,4,18,1,14,3,18,1,8,8,10,15,8,1,18,5,8,1,10,9,4,3,19,5,4,888,},
{4,812,19,7,3,3,18,1,4,5,19,5,4,15,3,1,16,2,3,1,18,2,3,1,16,34,14,1,17,1,14,3,7,1,14,1,16,3,3,1,18,1,4,38,19,5,4,1,18,1,3,1,16,21,17,1,14,1,15,2,8,3,15,1,14,9,15,1,14,2,15,4,14,7,8,25,10,4,8,4,10,5,8,21,10,5,8,6,10,3,8,15,18,1,14,2,18,3,8,1,10,3,8,1,15,1,14,8,15,8,14,12,15,1,14,7,15,1,8,4,15,1,14,1,17,1,16,4,17,2,16,5,14,3,17,1,16,20,17,1,14,6,17,1,16,3,17,1,14,1,17,1,16,2,17,2,16,7,17,3,14,2,17,1,16,16,17,1,14,14,17,3,16,17,17,1,14,2,17,1,16,7,14,16,17,1,16,6,17,1,14,6,17,1,16,39,17,1,14,3,3,1,14,15,15,1,18,2,15,2,14,2,15,2,14,5,15,1,18,5,15,3,18,2,8,6,18,2,8,21,18,1,15,2,18,1,8,12,15,5,8,4,15,4,8,15,15,1,7,2,14,5,7,2,8,32,15,4,18,1,8,7,10,6,8,24,7,6,14,6,7,2,8,5,10,2,8,4,10,2,8,9,10,8,8,12,10,3,8,2,10,5,8,1,18,2,8,1,10,1,8,1,18,1,10,12,8,3,10,23,8,4,10,16,8,8,10,9,8,2,10,7,8,9,10,18,8,6,10,11,8,2,10,4,18,4,10,7,8,2,10,25,8,6,4,224,19,7,4,3,10,1,8,2,10,13,8,9,15,3,18,1,8,3,18,2,14,2,18,3,8,8,10,13,8,1,18,5,8,2,10,8,4,3,19,5,4,888,},
{4,812,19,6,18,1,3,5,18,1,4,4,19,4,4,15,3,6,16,23,17,1,16,10,14,5,7,2,14,1,16,2,3,3,18,1,4,38,19,5,4,1,18,1,16,21,14,1,15,1,8,4,15,3,14,2,17,1,14,4,15,1,8,5,15,1,14,8,15,1,8,5,15,3,8,16,10,4,8,4,10,5,8,14,10,12,8,6,10,4,8,14,15,1,14,2,18,2,15,1,18,1,10,3,8,1,15,1,14,1,15,2,14,5,15,8,14,12,15,2,14,6,15,1,8,3,15,2,14,2,16,5,17,1,16,5,14,3,17,1,16,21,17,1,14,5,16,4,17,1,16,15,17,1,14,3,17,1,16,16,14,14,17,4,16,16,17,1,14,2,17,1,16,7,17,1,14,16,17,1,16,5,17,1,14,6,16,34,17,1,16,5,17,1,14,2,3,3,14,3,3,4,14,7,18,1,8,1,18,1,15,1,14,4,15,1,14,7,15,2,18,3,15,3,18,2,8,5,18,3,8,5,18,2,8,2,10,2,8,9,18,1,14,2,15,1,8,12,15,4,8,5,15,3,8,14,15,3,7,1,14,6,7,2,8,30,15,6,18,1,8,7,10,6,8,23,7,4,8,3,7,1,14,6,7,6,8,4,14,1,18,1,8,1,10,2,8,9,10,2,8,3,10,1,8,15,10,1,8,1,10,7,8,3,10,6,8,1,10,9,8,1,10,6,8,1,18,1,10,10,8,2,10,5,8,3,10,18,8,4,10,23,8,8,10,3,8,1,10,13,8,5,10,4,8,4,10,3,8,2,10,3,18,4,10,7,8,4,10,25,9,2,8,1,4,227,19,7,4,2,9,1,8,3,10,10,8,13,18,2,8,4,18,1,14,5,18,1,8,13,10,7,8,8,10,8,4,4,19,4,4,888,},
{4,812,19,5,4,2,3,10,4,2,19,1,4,15,19,1,3,2,18,1,3,2,16,24,14,3,16,8,14,8,16,2,3,3,18,1,4,38,19,4,4,2,9,1,15,1,17,1,16,13,17,2,16,3,14,1,15,1,8,5,15,1,14,4,16,1,17,2,14,2,8,6,15,1,14,17,18,1,8,11,10,2,8,10,10,4,8,14,10,6,8,1,10,5,8,7,10,5,8,13,14,1,3,2,18,1,8,1,18,2,10,4,15,1,14,1,15,2,14,4,15,10,14,10,15,3,14,5,15,2,8,1,15,4,14,2,16,9,17,1,14,4,17,1,16,30,17,2,16,15,17,1,14,3,17,1,16,16,17,1,14,13,17,3,16,11,17,1,16,5,17,1,14,1,17,1,16,8,14,8,17,1,14,9,17,1,16,4,17,1,14,6,16,34,17,2,16,4,17,1,14,2,3,3,14,3,3,5,14,6,18,1,8,1,18,1,15,1,14,14,15,1,18,2,15,2,14,1,15,1,18,1,8,5,18,3,8,5,18,2,8,2,10,2,8,9,15,1,14,3,18,1,8,5,18,1,8,5,15,3,8,6,15,3,8,14,15,2,14,8,7,2,8,28,15,2,14,2,15,2,8,1,18,1,8,8,10,5,8,5,7,4,8,15,7,4,8,4,7,4,14,9,7,1,8,2,18,2,8,11,10,3,8,19,10,1,8,3,10,14,18,1,10,4,4,1,10,5,4,6,18,3,4,1,18,1,10,6,8,3,10,6,8,1,10,6,8,3,10,11,8,3,10,3,8,3,10,9,8,4,10,7,8,11,10,19,8,6,10,7,18,3,10,8,8,4,10,3,8,1,10,16,4,236,19,6,4,2,10,1,8,3,10,7,8,22,18,1,14,1,3,1,14,3,18,1,8,3,10,4,8,7,10,23,4,895,},
{4,812,19,5,4,3,3,3,16,4,3,3,4,17,18,1,4,1,10,2,3,1,16,25,17,1,14,2,16,7,14,9,16,3,3,2,18,1,4,38,19,4,4,3,10,1,9,1,15,1,14,1,16,11,14,2,17,1,16,2,14,1,15,1,8,2,10,1,8,2,14,4,17,1,16,3,17,1,14,1,15,1,8,4,15,1,14,2,8,2,15,1,14,13,18,1,8,9,10,5,8,27,10,12,8,6,10,7,8,11,15,1,14,3,18,2,15,1,18,1,10,3,8,1,15,1,14,1,15,2,14,4,15,2,8,1,15,12,14,6,15,3,14,3,15,2,8,2,15,4,14,3,16,5,17,1,16,2,17,1,14,4,17,1,16,46,17,2,14,4,17,1,16,13,17,4,14,10,17,6,16,6,17,1,6,1,14,2,17,1,16,15,17,1,14,7,17,3,14,5,17,1,16,7,14,7,17,1,16,32,17,1,14,2,17,1,16,3,17,1,14,2,3,12,14,5,15,1,18,1,15,2,14,4,15,1,14,8,15,1,18,4,15,1,14,1,15,1,18,1,8,5,18,3,8,4,18,1,15,1,14,1,18,1,8,2,10,1,8,9,18,1,15,3,18,1,8,3,18,1,15,3,18,1,15,5,8,8,15,2,8,14,15,2,14,8,7,2,8,3,15,2,8,12,15,3,8,1,15,1,8,6,15,2,14,2,15,4,18,1,8,8,10,2,8,6,7,5,15,1,8,8,7,1,8,4,7,2,14,2,7,1,8,4,7,5,14,4,17,3,14,2,7,3,14,1,18,2,8,2,18,2,8,5,10,3,8,18,10,3,8,4,10,6,8,3,10,2,4,28,10,1,8,4,10,11,8,5,10,10,8,3,10,3,8,3,10,8,8,4,10,9,8,11,10,18,8,6,10,35,18,1,10,6,4,236,19,6,4,2,9,1,8,4,10,6,8,3,7,3,8,5,10,4,8,6,18,1,14,2,3,2,14,2,8,3,10,3,8,4,18,1,14,1,18,1,8,2,10,5,8,3,10,16,4,894,},
{4,813,19,6,4,2,3,2,16,7,3,1,18,4,4,5,18,2,3,3,18,2,10,1,18,1,10,1,18,1,3,1,16,35,14,10,16,2,3,1,18,1,4,49,18,1,3,1,16,10,14,4,17,1,14,2,15,1,8,4,7,1,14,3,17,2,16,3,17,1,7,1,8,2,7,2,14,2,7,1,8,3,15,1,14,9,18,8,8,4,10,5,8,5,10,3,8,7,10,2,8,11,10,9,8,4,10,1,8,4,10,7,8,10,18,1,15,1,14,4,15,2,8,2,10,1,9,1,8,1,15,1,14,6,15,2,8,7,15,7,14,7,15,6,8,3,15,1,14,6,16,4,17,2,16,3,17,1,14,3,16,29,17,1,16,16,17,1,14,2,17,2,14,3,17,1,16,11,14,3,17,1,16,1,14,6,15,2,14,2,16,2,17,1,14,2,6,1,17,1,16,5,17,1,14,4,16,14,17,1,14,5,17,4,16,3,17,1,14,2,17,1,16,7,14,5,15,1,14,3,16,19,17,4,16,9,17,1,14,2,17,1,16,4,3,1,14,4,17,3,14,11,15,3,14,1,15,7,14,5,15,1,18,1,8,3,18,1,15,3,8,8,18,2,8,3,18,1,15,2,18,1,8,2,10,2,8,6,18,3,8,5,15,5,8,1,15,2,14,2,15,1,8,9,7,1,8,11,7,19,14,2,15,2,8,9,15,8,8,4,15,7,14,2,15,1,8,14,7,1,8,2,7,4,8,13,7,1,14,3,7,1,8,3,7,1,14,3,7,2,14,3,17,2,16,1,17,2,14,2,7,1,14,3,3,1,14,1,18,2,8,4,10,5,8,17,10,5,8,6,10,3,8,2,10,3,4,5,19,3,4,7,19,4,4,1,19,5,4,3,18,1,9,1,18,2,8,1,10,10,8,6,10,10,8,3,10,11,8,6,10,16,8,3,10,12,8,2,10,8,8,7,10,8,9,1,10,24,18,1,8,4,9,1,4,236,19,6,4,2,9,1,8,4,10,6,8,1,18,2,15,2,7,2,8,3,10,6,8,2,15,2,14,7,15,1,8,1,10,3,8,7,14,2,8,2,10,4,8,2,18,2,8,2,10,10,8,2,18,2,4,894,},
{4,817,19,3,4,2,3,2,16,9,3,2,18,4,3,2,16,4,3,1,10,1,18,2,10,1,3,1,16,35,17,1,14,1,16,1,14,8,16,2,3,1,18,1,4,50,18,1,3,1,16,9,3,1,14,2,3,1,16,1,14,2,15,1,8,3,7,1,14,2,6,3,17,1,16,3,17,1,6,1,7,3,14,1,6,1,14,1,7,1,8,4,15,1,14,4,15,2,18,2,8,3,18,5,8,3,10,6,8,5,10,3,8,5,10,5,8,10,10,4,8,2,10,1,8,6,10,2,8,3,10,6,8,2,10,1,8,2,18,1,8,5,18,1,15,1,14,5,15,1,8,4,15,1,14,4,15,8,8,1,10,3,8,1,15,9,14,4,15,5,18,1,8,1,9,1,8,1,15,1,14,6,16,4,17,2,16,3,17,1,14,3,16,28,17,2,16,6,17,1,16,9,17,1,14,1,17,2,16,1,17,1,14,4,16,10,14,4,16,1,14,6,15,2,14,1,17,1,16,3,17,4,16,6,14,4,16,14,14,6,16,8,17,1,14,1,17,1,16,6,17,1,14,5,15,2,14,3,16,18,17,4,16,9,17,1,14,2,17,2,16,2,3,1,14,5,17,1,16,2,17,2,14,2,17,1,14,10,15,3,8,2,15,3,14,4,18,1,8,4,18,1,15,2,18,1,8,9,18,1,8,3,18,4,8,7,18,3,8,7,15,2,14,2,15,1,8,3,15,3,8,21,7,2,14,4,7,3,8,4,7,7,14,1,7,1,15,2,8,6,15,6,7,1,14,1,7,1,15,3,8,4,15,5,14,3,15,1,8,19,7,3,8,12,15,1,14,3,7,4,14,1,17,2,14,2,7,3,14,1,17,5,6,1,14,3,17,1,3,3,14,1,18,2,8,2,10,5,8,7,10,2,8,9,10,5,8,3,18,1,8,1,18,7,4,4,19,6,4,6,19,13,4,3,18,3,10,11,8,4,10,24,8,6,10,33,8,7,10,3,8,7,10,5,8,3,10,12,8,2,10,9,8,6,9,1,4,236,19,6,4,3,10,10,8,1,18,3,15,1,7,3,8,2,10,6,8,2,15,2,14,7,8,2,10,3,8,7,14,2,18,1,8,1,10,4,8,1,18,1,14,1,18,1,8,2,10,10,8,1,18,3,4,894,},
{4,818,19,4,4,1,18,1,3,1,16,9,3,5,16,6,18,1,10,1,18,1,10,1,3,1,16,37,17,1,3,1,14,8,16,2,3,1,18,1,4,50,18,1,3,1,16,8,3,4,16,2,14,2,15,1,8,3,7,1,14,1,17,1,6,1,17,3,16,4,17,1,14,6,7,1,15,1,8,1,15,1,14,4,15,1,8,16,10,5,8,6,10,4,8,4,10,5,8,10,10,5,8,14,10,5,8,2,10,1,8,3,18,1,8,3,18,2,15,2,14,3,15,2,8,3,15,2,14,5,15,1,14,6,8,1,10,3,8,3,15,5,8,1,15,2,14,4,15,1,14,2,15,1,18,1,8,1,9,1,8,1,15,1,14,6,16,4,17,2,16,4,14,3,16,8,17,1,16,19,17,1,16,17,17,1,16,4,17,1,14,4,16,10,17,1,14,13,17,1,16,14,17,1,14,1,17,1,16,12,17,1,14,7,17,1,16,7,17,1,14,2,17,1,16,6,14,4,15,4,14,3,3,4,16,20,17,2,16,3,17,2,14,13,17,1,16,2,17,4,14,11,15,7,14,3,15,1,18,1,8,4,18,4,8,14,18,3,8,5,18,3,8,9,15,2,14,2,15,1,8,8,10,1,8,3,7,1,8,2,7,2,8,10,7,2,14,4,7,3,8,5,7,7,15,3,8,6,15,6,7,1,14,1,7,1,15,3,8,4,15,6,14,2,15,1,8,19,7,2,8,14,15,2,7,4,14,2,17,3,14,2,7,3,14,2,17,5,14,1,6,1,14,1,3,3,14,1,18,2,8,2,10,5,8,19,10,4,8,6,18,1,4,8,19,7,4,6,19,14,4,7,10,78,8,2,18,2,8,11,10,5,8,2,10,25,8,5,10,1,4,244,10,5,18,1,10,6,8,1,18,2,15,1,7,4,8,2,10,4,8,9,15,1,14,2,8,3,10,2,8,7,7,1,14,1,18,1,8,1,10,4,8,1,18,3,8,2,10,10,8,2,18,2,10,7,4,887,},
{4,819,19,4,4,1,18,1,3,1,16,19,18,1,10,1,18,1,10,1,3,1,16,37,14,1,17,1,14,8,3,1,16,1,3,1,18,1,4,51,3,2,16,7,3,3,16,3,14,2,15,4,14,2,17,4,16,6,17,4,14,9,15,1,8,17,10,5,8,5,10,5,8,3,10,5,8,11,10,5,8,14,10,5,8,2,10,1,8,7,18,3,15,1,14,3,15,2,8,3,15,1,14,6,15,2,14,2,3,2,14,1,15,1,8,1,10,2,8,3,15,4,8,3,15,1,14,8,18,1,8,1,9,1,8,1,15,2,14,5,16,3,17,1,14,1,17,1,16,3,17,1,14,3,16,8,6,1,17,1,16,13,17,2,16,2,17,2,16,23,17,1,14,3,16,11,14,13,16,16,17,2,16,11,17,1,14,8,17,1,16,8,14,2,17,1,16,6,14,4,15,4,14,7,3,1,16,20,17,7,14,12,17,6,14,14,15,5,14,3,15,1,18,2,8,3,18,4,8,15,18,2,8,6,18,1,8,11,15,2,18,1,8,7,10,2,8,4,7,17,14,4,7,4,8,5,7,5,15,4,8,4,15,5,8,2,15,1,7,1,14,2,15,3,8,9,15,2,14,1,15,1,8,19,7,2,8,15,15,1,7,4,14,2,17,3,14,2,7,5,14,1,17,4,14,6,18,2,8,2,10,6,8,19,10,10,4,5,19,11,4,6,19,19,4,3,10,2,8,2,10,73,8,1,18,1,14,3,8,3,10,2,8,6,10,3,8,2,10,26,8,5,9,1,4,245,10,7,8,2,10,3,8,2,15,1,7,1,14,2,7,1,15,1,8,3,10,1,8,11,15,2,8,12,7,1,14,1,18,1,8,1,10,4,8,1,18,2,8,2,10,12,8,1,18,1,8,1,10,7,4,887,},
{4,819,19,4,4,2,3,2,16,9,3,1,16,8,18,1,10,1,18,1,10,1,3,1,16,37,14,5,15,3,14,3,16,1,3,1,18,1,4,51,18,1,3,2,16,5,14,2,3,1,16,4,14,2,15,3,14,2,17,1,16,1,17,1,16,1,17,1,16,10,17,1,14,8,15,1,8,5,10,3,8,10,10,3,8,2,18,2,8,3,10,3,8,5,10,3,8,12,10,4,8,14,10,6,8,2,10,2,8,6,18,1,15,1,18,1,15,2,14,2,15,4,8,1,15,1,14,6,15,1,8,1,15,1,14,1,3,2,14,1,15,1,8,4,15,1,8,2,15,2,8,4,15,1,14,8,15,1,8,1,9,1,8,2,15,1,14,5,17,1,16,2,17,1,14,1,17,1,16,3,14,4,16,8,6,2,16,13,14,3,17,1,14,1,17,1,16,24,17,1,14,1,17,1,16,11,17,1,14,12,16,28,17,1,14,2,17,2,14,5,16,8,17,1,14,2,17,1,16,6,14,4,15,5,14,6,3,2,16,19,17,2,14,2,17,4,14,34,15,2,14,2,15,2,18,8,8,54,7,2,14,1,7,4,14,2,7,5,14,5,7,5,8,5,7,4,15,4,8,2,15,8,8,1,15,1,14,3,15,3,8,10,15,2,8,20,7,2,8,18,7,2,14,2,17,3,14,2,7,1,8,3,7,2,14,2,17,1,14,5,18,4,8,2,10,7,8,18,10,10,4,4,19,12,4,6,19,20,4,2,10,77,8,1,18,1,14,2,18,2,8,2,10,5,8,2,10,3,8,3,10,26,8,5,9,1,4,245,10,3,4,1,10,3,8,3,10,2,8,3,7,1,14,2,7,1,15,1,8,8,10,4,8,18,15,1,18,1,8,1,10,5,8,4,10,12,8,4,10,7,4,886,},
{4,820,19,4,4,1,18,1,3,1,16,7,3,3,16,8,3,1,9,1,10,2,3,1,16,37,17,1,14,4,15,3,14,3,16,1,3,1,18,1,4,52,18,1,3,1,16,5,14,2,3,1,16,4,14,2,15,1,14,3,17,1,16,15,17,1,14,3,17,1,16,1,14,3,15,1,8,1,15,2,18,1,8,14,10,3,8,2,18,2,8,3,10,2,8,21,10,3,8,7,10,2,8,6,10,6,8,9,18,1,15,8,14,1,15,5,14,4,15,2,8,2,14,1,3,3,14,1,15,3,14,2,15,1,8,3,15,1,8,3,15,2,14,7,15,1,8,4,15,3,14,4,17,2,14,2,17,1,16,2,17,1,14,4,16,8,17,1,6,1,16,12,17,1,14,5,6,1,16,38,17,3,14,10,16,20,17,1,14,5,17,4,16,3,17,1,14,3,17,1,16,8,17,1,14,2,17,1,16,6,14,5,15,4,14,7,3,1,16,20,17,1,14,2,17,1,16,2,17,1,14,36,15,9,18,6,8,9,10,1,8,14,10,1,8,11,10,1,8,8,7,4,8,2,7,1,14,17,7,7,8,6,7,2,15,7,7,2,14,2,15,3,8,2,14,3,15,3,8,32,7,2,8,18,7,1,14,3,17,2,14,2,7,2,8,4,7,2,14,4,7,2,8,6,10,9,8,16,10,4,4,1,10,2,4,2,10,1,4,5,19,11,4,9,19,2,4,1,19,15,4,3,10,3,4,2,18,4,10,20,8,3,10,44,8,2,18,3,8,2,10,11,8,1,18,1,8,1,10,27,8,5,10,1,4,245,10,5,8,4,10,3,8,2,7,3,15,1,8,8,10,6,8,5,15,1,8,12,18,2,8,1,10,4,8,4,10,5,8,2,10,6,8,3,10,6,18,1,4,886,},
{4,820,19,5,4,1,18,1,3,1,16,6,3,1,14,1,3,1,16,9,3,1,9,1,10,1,18,1,3,1,16,3,3,3,14,2,16,29,14,4,15,4,14,1,3,1,16,1,3,2,4,52,18,2,3,1,16,3,17,1,14,2,3,1,16,4,14,2,15,1,14,3,16,17,14,2,17,1,16,2,17,1,14,2,15,2,14,4,8,12,10,4,8,3,18,1,8,26,10,3,8,6,10,3,8,6,10,5,8,8,18,2,15,1,14,2,15,2,8,2,15,1,14,4,15,8,8,3,14,2,3,1,14,7,15,1,8,1,15,8,14,7,15,2,8,4,15,3,14,3,17,2,14,2,17,1,16,2,14,2,15,1,14,1,17,1,16,8,17,1,6,1,16,12,14,5,7,1,14,1,16,38,17,2,14,10,17,1,16,18,17,2,14,1,7,1,15,2,14,3,17,1,16,6,14,3,16,4,17,2,16,2,17,5,16,6,14,6,15,2,14,8,3,1,16,20,17,1,14,2,17,1,16,2,17,1,14,36,15,10,18,3,15,4,18,1,8,20,10,2,8,9,10,3,8,6,7,2,14,2,7,2,8,2,7,1,14,17,7,1,14,5,7,2,8,7,15,6,7,2,14,4,7,1,15,1,8,2,14,3,15,4,8,30,7,3,8,18,7,1,14,5,7,6,8,3,7,7,8,6,10,14,8,6,10,6,4,14,19,8,4,22,19,8,4,14,10,18,8,3,10,46,8,3,10,13,8,1,18,1,8,1,10,27,8,6,9,2,10,1,9,2,10,1,9,3,4,237,10,2,8,6,10,3,8,2,15,1,7,2,8,8,10,6,8,6,15,1,8,12,14,1,18,1,8,1,10,3,8,7,10,1,8,4,10,6,8,4,10,6,18,1,4,885,},
{4,820,19,5,4,2,3,2,16,2,3,3,14,2,3,1,16,10,3,1,18,3,3,3,18,1,8,1,10,2,15,1,16,29,17,1,14,3,15,3,14,3,16,1,3,2,4,53,18,1,14,2,16,1,17,1,14,3,3,1,16,4,14,5,17,1,16,16,17,1,14,2,17,1,16,2,17,1,14,2,15,1,14,2,3,2,14,1,18,1,8,4,18,3,8,4,10,4,8,30,10,2,8,6,10,4,8,6,10,5,8,6,18,2,15,2,14,4,15,1,8,2,15,1,14,4,15,2,8,5,15,1,8,3,14,2,3,1,14,4,3,2,14,2,15,2,14,3,15,3,14,8,15,2,8,4,15,3,14,3,16,1,17,2,14,2,17,2,14,2,15,1,14,1,17,1,16,9,17,1,16,11,17,1,14,4,15,1,7,1,14,1,16,32,17,6,14,12,17,1,16,14,17,3,16,1,17,1,14,1,15,1,8,3,15,1,14,2,17,1,16,5,17,1,14,3,16,2,17,1,14,3,17,1,16,2,17,4,16,6,14,16,3,3,17,1,16,17,17,1,14,1,17,2,16,2,14,4,17,2,14,5,17,2,14,25,15,4,14,4,15,10,8,35,15,1,8,3,7,1,14,4,7,4,14,11,7,2,14,4,7,1,14,4,7,3,8,8,15,5,7,1,14,5,15,2,8,2,14,3,15,4,8,1,15,2,8,22,7,2,8,24,7,1,14,4,7,1,8,3,7,4,8,4,7,5,8,5,10,25,4,4,19,6,4,6,19,8,4,22,19,7,4,8,19,3,4,4,10,5,8,1,10,11,8,3,10,18,8,3,10,42,8,1,18,1,8,1,10,27,8,6,10,4,8,5,18,1,4,236,10,1,8,7,10,2,8,3,7,2,8,8,10,5,8,8,15,1,7,1,8,11,14,2,18,1,8,16,10,6,8,3,10,7,18,1,4,884,},
{4,821,19,5,4,1,18,1,3,6,14,2,16,12,3,1,18,1,10,8,15,1,16,30,14,4,15,1,14,3,3,1,16,1,3,1,18,1,4,54,18,1,3,3,14,4,16,4,14,6,17,1,16,15,14,4,16,3,14,5,3,2,14,1,15,1,8,3,18,5,8,3,10,4,8,6,10,10,8,13,10,4,8,5,10,4,8,6,10,5,8,2,18,2,8,1,18,2,15,3,14,5,8,2,15,1,14,5,15,1,8,6,15,1,8,1,15,1,14,10,15,2,14,14,15,4,8,3,15,3,14,3,16,2,17,1,14,8,17,1,16,9,17,1,16,5,17,1,14,1,16,4,17,1,14,4,15,1,7,1,14,1,16,29,17,1,14,3,17,4,14,14,16,14,17,3,16,1,17,1,14,1,15,1,8,3,15,1,14,2,17,1,16,5,17,1,14,3,17,1,16,1,14,4,17,1,16,3,17,6,16,4,17,2,14,15,3,1,17,1,16,17,17,3,16,3,14,4,16,2,3,1,14,3,17,5,14,3,17,1,14,20,15,3,14,4,15,5,14,3,15,7,8,3,15,3,8,23,7,2,8,4,7,1,14,3,7,3,14,10,7,6,14,8,7,2,8,10,15,3,7,1,14,4,7,1,15,1,8,3,14,3,15,8,8,15,15,2,7,1,8,29,7,5,8,4,7,4,8,5,7,4,8,5,10,25,4,1,19,9,4,6,19,6,4,38,19,7,4,2,10,3,8,1,18,1,8,3,10,27,8,6,10,20,8,2,10,19,8,1,18,1,8,1,10,10,18,3,10,16,8,1,10,9,8,3,18,1,4,236,10,1,8,6,10,3,8,3,15,1,7,1,8,8,10,4,8,9,15,1,7,2,8,10,15,1,14,1,15,1,18,2,8,5,7,1,8,8,10,6,8,4,10,7,4,884,},
{4,822,19,3,4,3,18,1,3,6,16,14,3,1,10,3,8,2,10,3,15,1,16,30,14,7,3,4,18,1,4,54,18,1,3,4,14,3,16,4,17,1,14,6,16,14,14,5,16,3,14,8,8,3,18,6,8,4,10,2,8,3,18,1,8,2,10,11,8,13,10,4,8,5,10,4,8,6,10,5,8,5,18,1,15,4,14,5,8,2,15,2,14,4,15,2,8,7,15,1,14,9,15,1,8,2,14,12,15,2,18,2,15,2,8,3,15,3,14,3,16,3,14,9,16,15,14,2,17,1,16,3,17,1,14,1,17,1,14,2,15,1,7,1,14,1,16,28,17,1,14,11,15,3,14,8,16,7,17,1,16,10,17,1,14,1,15,1,8,2,15,1,14,2,17,1,16,6,17,1,14,7,15,1,14,2,16,2,17,8,16,5,17,1,14,16,16,17,17,2,16,3,17,1,14,3,16,3,17,1,14,3,17,2,16,2,17,5,14,21,15,2,14,4,15,4,14,4,15,4,14,2,15,4,14,2,15,2,8,5,18,1,8,15,7,3,8,5,7,2,14,1,7,1,14,11,7,8,14,4,7,3,8,11,15,3,7,1,14,5,7,1,15,2,8,2,14,3,15,9,8,14,15,2,7,1,8,38,7,3,8,15,10,17,4,1,10,3,4,1,10,2,4,2,19,9,4,7,19,2,4,41,19,7,4,2,10,4,18,4,10,27,8,6,10,20,8,1,10,14,8,1,10,6,8,1,10,13,18,2,10,29,4,238,8,5,10,3,8,3,15,1,7,1,8,8,10,4,8,9,15,2,7,3,8,8,18,1,15,1,14,3,15,1,8,4,7,3,8,7,10,5,8,4,10,7,4,884,},
{4,829,18,1,3,5,17,1,3,1,16,12,3,1,8,1,10,1,18,1,3,2,14,1,10,1,8,1,14,1,16,30,14,6,3,1,16,1,3,2,14,1,18,1,4,55,3,2,16,2,14,1,15,1,14,2,16,4,17,1,14,5,17,1,16,1,17,2,16,10,14,2,15,2,14,1,16,3,17,1,14,5,15,1,8,4,18,6,8,8,18,2,8,2,10,11,8,12,10,5,8,5,10,4,8,6,10,6,8,5,18,1,15,4,14,4,15,1,8,1,15,3,14,4,15,3,8,6,15,1,14,7,15,1,8,3,15,1,14,1,15,1,14,9,15,1,18,1,8,3,15,6,14,4,16,3,14,4,17,1,14,5,16,14,14,2,17,1,16,3,14,2,17,2,14,4,16,27,17,1,14,13,15,1,14,9,16,18,14,2,15,2,7,1,14,3,17,1,16,7,17,1,14,6,15,1,14,7,17,5,16,6,14,5,3,1,14,10,16,16,17,3,16,3,17,1,14,3,16,3,3,1,14,2,17,2,16,2,17,2,14,31,15,4,14,4,15,4,14,2,15,3,14,4,15,1,8,5,18,5,8,8,15,2,7,4,8,5,7,2,14,13,7,8,14,3,7,2,8,11,15,3,7,2,14,7,15,4,14,3,15,10,8,13,15,2,7,2,8,54,10,14,4,12,19,10,4,50,19,8,4,11,10,25,8,1,18,2,8,3,10,34,8,1,10,15,4,8,10,19,8,1,10,10,4,237,18,1,9,1,8,3,10,4,8,2,15,1,7,2,8,4,18,1,8,2,10,4,8,1,18,1,15,1,8,8,7,4,8,8,18,1,14,4,8,5,7,2,8,6,10,7,8,3,10,8,4,883,},
{4,831,18,1,3,1,16,1,3,1,14,3,16,12,3,1,14,1,16,4,3,1,14,1,16,29,14,7,3,1,16,3,3,1,18,2,4,55,18,1,3,1,16,1,3,1,15,2,14,2,16,5,17,1,14,2,15,1,14,2,17,3,16,9,14,2,15,1,8,1,15,1,14,1,16,3,17,1,14,3,15,1,8,7,18,4,8,4,10,1,8,5,18,1,8,3,10,9,8,12,10,6,8,4,10,5,8,7,10,5,8,7,15,1,8,1,15,1,14,3,15,2,8,2,15,3,14,5,15,4,8,2,10,1,8,1,15,1,14,4,15,2,8,2,10,2,8,1,15,3,14,8,15,1,8,5,15,5,14,4,16,3,17,1,14,3,17,2,14,2,15,1,14,1,17,1,16,13,6,1,14,1,17,1,16,3,17,1,14,1,17,2,14,4,17,1,16,26,17,2,14,22,17,1,16,17,14,2,7,1,14,2,17,1,16,1,17,2,16,9,17,1,14,3,15,2,14,7,17,1,16,10,14,18,17,2,16,11,17,1,14,1,17,2,16,3,17,1,14,2,17,1,16,3,3,1,14,1,16,4,17,1,14,32,15,6,14,3,15,4,14,3,15,1,14,5,15,2,8,4,18,1,15,2,14,5,15,3,7,1,8,2,7,5,8,5,7,2,14,13,7,1,14,4,7,3,14,2,7,2,8,11,7,1,15,2,7,1,14,16,15,10,8,13,15,2,7,2,8,31,10,3,8,20,10,14,4,12,19,10,4,50,19,7,4,13,10,12,8,1,10,11,8,2,18,1,8,4,10,28,8,6,18,1,10,2,18,1,10,11,4,8,10,18,8,3,10,8,8,1,4,238,9,1,8,3,10,5,8,1,15,1,7,2,8,4,18,1,8,3,10,2,8,3,15,1,8,10,15,2,8,8,18,1,14,4,15,1,8,3,7,3,8,6,10,7,8,3,10,8,4,883,},
{4,832,3,3,14,3,16,19,17,1,16,27,14,9,16,4,3,1,14,1,18,1,4,56,3,3,15,2,14,2,16,6,14,2,15,2,14,2,17,1,16,9,17,1,14,1,15,1,8,2,15,1,14,1,16,3,17,1,14,2,15,1,8,14,10,4,8,9,10,7,8,13,10,5,8,5,10,4,8,9,10,8,8,5,15,2,14,2,15,2,8,4,15,1,14,9,15,1,10,3,8,1,15,1,14,1,15,3,8,3,10,2,8,2,15,2,14,7,15,1,18,1,8,5,15,5,14,5,17,4,14,2,17,2,14,2,15,1,14,2,16,13,17,1,14,1,17,1,16,3,17,1,14,2,17,2,14,3,17,1,16,28,17,1,14,22,16,11,17,3,16,1,17,2,14,1,7,2,14,1,17,1,16,2,17,2,16,11,14,2,15,7,14,2,17,1,16,9,3,1,14,23,17,1,16,7,17,1,14,1,17,2,16,2,17,1,14,3,17,1,16,3,3,2,16,4,17,1,14,32,15,5,14,4,15,5,14,9,15,1,8,5,18,1,15,1,14,7,7,2,8,4,7,10,14,20,7,1,14,2,15,2,8,10,7,2,15,2,7,1,14,16,15,9,8,15,15,1,7,1,8,31,10,4,8,19,10,15,4,12,19,9,4,65,19,5,4,2,10,23,8,2,18,1,8,6,10,26,8,6,18,1,8,3,10,11,4,8,10,19,8,2,10,9,18,1,4,2,19,4,4,231,8,4,10,5,8,1,15,1,7,1,8,9,10,2,8,16,15,1,18,1,8,6,15,1,14,5,8,3,7,4,8,4,10,9,8,3,10,6,4,884,},
{4,832,18,1,14,6,16,45,14,10,16,4,3,3,18,1,4,55,18,1,3,2,15,2,14,2,16,6,17,1,14,1,15,3,14,1,17,1,16,9,14,2,15,1,8,2,14,2,16,2,17,1,3,1,14,2,15,2,8,12,10,5,8,9,10,7,8,14,10,3,8,4,10,4,8,3,10,1,8,8,10,7,8,6,15,4,8,5,15,2,14,8,15,1,8,1,10,2,8,1,15,3,8,9,15,2,14,7,15,1,18,1,8,4,15,1,18,1,15,1,8,1,15,2,14,7,16,3,17,3,16,1,17,1,14,3,16,19,17,1,14,3,16,2,17,3,16,28,17,1,14,9,16,1,14,12,17,1,16,10,17,6,14,4,16,16,14,2,15,7,14,3,16,3,17,2,14,1,16,3,3,1,14,25,17,1,16,5,17,1,14,1,17,2,14,6,3,1,16,2,3,3,16,4,17,1,14,8,17,1,14,22,15,5,14,3,15,6,14,10,15,1,8,5,18,1,15,1,14,7,7,2,8,4,7,1,8,2,7,7,14,19,15,5,8,8,15,7,7,1,14,7,15,2,14,7,15,6,14,1,15,2,8,47,10,5,8,24,10,8,4,15,19,1,4,72,19,6,4,5,10,3,18,2,10,14,8,2,18,1,8,7,10,13,8,2,10,10,8,10,10,9,18,1,10,1,4,15,10,23,18,1,4,1,19,6,4,231,9,1,8,2,10,5,8,2,7,1,8,3,10,1,8,12,18,1,8,10,7,1,14,2,7,2,8,3,15,1,14,4,7,2,8,1,7,4,8,9,10,5,8,4,10,5,4,884,},
{4,833,18,1,14,2,3,1,14,2,17,1,16,43,17,1,14,7,15,1,14,2,16,5,3,2,18,1,4,56,18,1,3,1,18,1,15,1,14,2,17,1,16,6,14,1,15,3,14,1,17,1,16,8,17,1,14,2,15,1,8,1,15,1,14,1,17,1,16,2,14,5,15,5,18,1,8,21,10,7,8,21,10,4,8,2,10,3,8,7,10,7,8,2,15,2,8,1,15,5,8,5,15,1,14,10,8,4,15,2,8,5,15,1,8,4,15,1,14,3,15,6,18,1,8,3,15,2,8,3,15,2,14,7,16,4,17,1,16,3,14,2,17,1,16,20,14,3,16,3,17,3,16,28,14,3,17,1,14,14,17,1,16,1,17,1,14,2,17,1,16,10,17,6,14,1,17,1,16,18,14,1,15,1,8,1,15,1,14,7,16,3,14,4,16,2,14,27,17,9,14,7,3,4,16,4,17,2,14,6,17,2,14,23,15,4,14,4,15,5,14,12,15,4,18,2,14,8,7,2,8,3,7,2,8,2,7,4,8,2,7,1,14,11,7,2,14,5,7,1,15,2,8,7,15,9,8,1,15,2,14,5,15,5,14,6,15,5,14,3,15,1,8,34,10,1,8,11,10,4,8,27,10,5,4,90,19,6,4,19,10,4,8,3,18,1,8,7,10,13,8,2,10,10,8,8,10,11,18,1,10,1,4,19,18,1,10,18,4,2,19,6,4,231,18,1,9,1,8,1,10,6,8,1,7,1,8,2,10,3,8,10,18,1,14,1,8,2,10,1,8,1,18,1,8,5,7,1,14,4,7,1,8,2,15,2,14,2,7,2,8,7,10,2,8,7,10,4,8,1,18,2,8,2,10,4,4,884,},
{4,834,18,1,14,1,16,2,14,2,16,43,17,1,14,6,15,2,14,2,16,3,3,5,4,57,18,2,14,6,16,4,17,1,14,1,15,2,14,1,16,9,17,1,14,1,15,1,8,2,15,1,14,2,16,1,17,1,14,11,15,1,18,1,8,19,10,6,8,24,10,1,8,4,10,2,8,11,10,3,8,2,15,8,8,5,15,2,14,10,15,1,8,2,15,2,8,5,15,6,14,4,15,5,8,4,15,2,8,4,15,2,14,7,16,8,17,1,16,2,17,1,16,18,14,2,17,1,16,3,17,1,14,1,17,1,16,28,14,3,16,1,14,14,17,1,16,1,17,2,14,1,17,1,16,10,17,3,16,23,17,1,14,1,15,2,14,3,15,3,14,2,16,2,14,5,16,1,3,1,14,16,15,1,14,1,15,1,14,12,16,2,17,1,14,11,3,1,17,4,16,1,17,2,14,31,15,3,14,21,15,5,18,1,15,2,14,4,7,1,14,1,7,2,8,3,7,8,8,2,7,2,14,8,7,2,15,1,7,2,14,4,7,1,15,1,8,6,15,2,7,1,15,8,8,2,15,2,14,3,15,3,8,1,15,2,14,7,15,7,8,35,10,2,8,10,10,4,8,23,18,3,8,1,10,5,4,90,19,11,4,15,10,4,8,10,10,13,8,2,10,10,8,2,10,19,4,7,19,9,4,4,10,18,4,2,19,6,4,232,18,1,8,1,10,6,8,1,7,1,8,3,10,2,8,11,18,1,8,1,10,2,8,7,7,1,14,4,7,1,8,4,7,4,8,7,10,2,8,8,10,3,8,6,10,3,4,884,},
{4,834,18,1,14,1,16,3,14,4,17,1,16,39,14,5,15,4,14,2,16,3,3,1,14,1,3,3,4,58,18,1,14,3,15,1,14,2,16,4,17,1,14,1,15,2,14,1,16,9,17,1,14,1,8,4,15,1,14,1,3,3,14,13,18,1,8,6,10,1,8,9,10,6,8,38,10,1,8,4,10,3,9,1,8,1,15,3,8,1,15,4,8,7,15,1,14,10,15,5,8,4,15,1,14,3,15,2,14,5,15,1,8,7,15,3,8,2,9,1,8,1,15,1,14,7,16,9,17,1,14,3,16,15,17,1,14,2,17,1,16,3,17,1,14,3,17,1,16,27,14,5,17,1,16,3,14,13,17,1,16,11,17,2,16,25,14,5,15,1,8,3,15,1,14,1,16,2,14,5,3,4,14,4,15,2,14,6,15,4,14,10,3,6,14,15,17,1,16,4,17,2,14,30,15,4,14,21,7,1,15,3,7,9,8,3,7,1,14,5,7,5,14,1,7,4,14,3,15,5,7,1,14,4,7,1,15,9,8,3,15,2,8,2,15,3,8,1,15,11,14,8,15,2,8,39,10,2,8,11,10,5,8,11,10,4,8,6,14,1,3,1,18,1,8,1,10,3,18,2,4,96,19,12,4,2,19,3,4,3,10,9,8,5,10,27,8,4,10,15,4,3,19,15,4,2,10,18,4,2,19,6,4,232,18,1,8,1,10,5,8,1,7,1,14,1,7,1,8,8,10,4,8,5,10,2,8,7,7,1,14,5,8,2,10,1,8,1,7,1,14,7,7,1,8,2,10,2,8,9,10,4,8,2,18,2,8,1,10,2,4,884,},
{4,834,18,1,3,1,16,3,14,2,15,1,14,4,17,1,16,35,17,1,14,5,15,3,14,3,16,2,3,1,14,3,3,2,18,1,4,57,18,1,14,3,15,1,14,2,16,5,14,4,16,9,17,1,7,1,8,4,15,1,14,2,3,2,14,13,18,1,8,6,10,1,8,5,10,3,8,1,10,4,8,4,10,3,8,10,10,1,8,21,10,2,8,4,10,3,9,1,8,1,15,2,8,5,15,2,8,3,9,2,8,1,15,1,14,11,15,2,14,2,15,1,8,3,15,1,14,4,15,2,14,4,15,1,8,2,18,1,15,2,18,2,15,4,8,1,9,2,8,1,15,1,14,6,17,1,16,8,17,1,14,3,16,7,17,4,16,4,17,1,14,2,16,4,14,5,17,1,16,26,14,5,16,4,17,1,14,12,16,11,17,3,16,20,17,1,14,1,16,4,14,4,15,1,8,1,10,1,8,2,14,8,16,3,3,1,14,3,15,1,8,2,15,2,14,2,15,4,14,13,3,5,14,15,17,1,16,5,17,1,14,31,15,3,14,14,15,1,14,5,7,2,8,5,7,7,8,3,7,2,14,4,7,4,14,2,7,4,14,2,7,1,15,1,8,3,15,1,7,1,14,5,7,2,14,2,15,2,14,2,15,2,8,2,15,2,8,2,15,14,14,8,15,3,8,39,10,5,8,9,10,4,8,10,10,5,8,3,10,1,8,2,14,1,3,1,18,2,10,2,18,2,4,97,19,12,4,2,19,4,4,2,10,10,8,3,10,30,8,2,10,15,4,2,19,16,4,3,10,13,8,1,10,3,4,2,19,6,4,232,18,1,8,1,10,5,8,1,7,1,14,1,7,1,8,12,10,8,8,7,7,1,14,2,7,2,8,1,10,2,8,1,7,1,14,7,8,3,10,3,8,8,10,5,8,1,18,3,8,1,10,1,4,884,},
{4,834,18,1,3,1,16,2,3,1,14,5,7,2,14,1,17,1,16,34,14,8,15,1,14,3,16,2,3,1,14,3,3,2,18,1,4,57,18,1,14,6,16,5,17,1,14,3,17,1,16,9,7,1,8,4,15,1,14,17,15,1,8,2,10,3,8,7,10,3,8,1,10,4,8,4,10,3,8,3,10,2,8,4,10,3,8,20,10,3,8,3,10,3,9,1,8,3,10,1,9,1,8,3,15,3,8,6,15,1,14,9,15,2,14,4,8,3,15,1,14,3,15,3,14,4,15,2,14,2,15,3,18,1,15,2,14,1,15,1,8,1,9,1,8,2,15,1,14,6,17,1,16,4,17,1,16,4,17,3,16,9,17,2,16,5,14,2,16,4,17,1,14,3,7,1,14,1,17,1,16,27,14,4,17,1,16,3,14,12,17,2,16,10,17,2,16,12,17,1,14,2,16,6,14,1,17,1,16,5,17,1,14,1,8,2,9,1,8,2,15,1,14,6,3,1,16,3,3,1,14,2,15,2,8,3,18,1,15,3,8,1,15,1,14,3,3,3,14,9,3,4,14,15,17,1,16,5,17,1,14,5,17,1,14,17,15,2,14,5,15,4,14,12,15,5,7,4,8,8,7,6,8,3,7,2,14,10,7,6,15,4,7,1,14,6,7,2,14,2,15,1,14,4,15,5,8,3,15,12,14,6,15,5,8,23,7,2,8,18,10,2,8,10,10,2,8,11,10,5,8,3,10,2,8,2,18,3,8,1,18,3,4,97,19,12,4,2,19,4,4,2,10,59,4,3,19,17,4,6,10,11,18,1,4,3,19,6,4,232,18,1,8,1,10,5,8,1,7,1,14,2,7,1,8,1,10,1,8,9,10,8,8,13,10,2,8,2,7,1,14,5,7,1,8,2,10,6,8,6,10,5,8,2,18,3,10,1,4,884,},
{4,834,18,1,3,1,16,2,3,1,14,5,7,3,14,1,16,34,14,12,16,2,3,1,14,1,3,5,18,1,4,57,18,2,3,1,14,3,3,1,16,4,17,2,16,12,7,1,8,5,14,17,15,1,8,2,10,3,8,7,10,3,8,1,10,5,8,3,10,3,8,3,10,9,8,21,10,2,8,3,9,1,10,2,9,3,10,3,9,1,8,2,15,4,8,5,15,2,14,8,15,2,14,4,8,3,15,1,14,3,15,7,14,5,15,3,14,3,15,2,8,3,15,2,14,5,17,1,16,3,17,1,14,1,17,1,16,15,17,1,14,1,17,1,16,5,17,1,16,5,17,1,14,2,7,2,14,1,16,27,17,1,14,4,17,2,14,1,17,1,14,2,17,2,14,5,17,2,14,2,17,1,16,9,17,2,16,12,17,1,14,3,17,1,16,4,14,1,17,2,16,5,14,1,8,1,10,2,8,2,15,5,14,1,16,5,3,1,14,2,15,1,8,6,18,1,15,1,18,1,14,2,3,4,14,4,15,3,14,4,3,4,14,14,17,1,16,5,17,1,14,5,17,1,14,16,15,4,14,4,15,3,14,11,15,4,8,1,15,6,8,10,7,6,8,2,7,1,14,10,7,2,8,1,15,6,7,2,14,15,15,5,8,5,15,11,14,4,15,4,8,25,7,5,8,16,10,3,8,20,10,3,8,6,10,3,8,1,18,4,4,100,19,12,4,2,19,5,4,1,10,58,4,4,19,21,4,3,10,10,4,3,19,7,4,232,18,1,8,1,10,5,8,1,7,1,14,2,7,1,8,1,10,2,8,3,18,3,8,2,10,8,8,19,7,1,14,2,7,1,8,2,10,8,8,6,10,4,8,2,18,3,10,1,4,884,},
{4,834,18,1,3,1,16,2,3,2,14,4,7,2,14,1,16,35,17,1,14,11,3,1,16,1,14,1,3,1,16,2,3,4,18,1,4,58,18,2,15,1,14,1,3,2,16,3,3,1,16,12,17,1,14,1,8,5,14,17,15,1,8,12,10,3,8,2,10,4,8,4,10,2,8,3,10,9,8,5,18,1,8,5,10,4,8,6,10,3,8,3,9,1,10,1,8,1,9,2,10,3,9,1,8,2,15,5,8,5,15,2,14,7,15,2,14,3,15,1,8,3,15,1,14,2,15,9,14,5,15,1,14,5,15,1,8,4,15,2,14,5,16,21,17,1,14,2,16,5,17,1,16,6,17,1,14,1,7,2,14,1,17,1,16,25,17,1,14,4,17,2,14,4,17,3,14,4,17,1,16,1,17,1,14,4,16,22,17,1,14,4,16,12,14,1,8,1,10,2,8,6,15,1,14,1,16,4,3,2,14,1,15,1,8,7,18,1,15,2,14,9,15,6,14,2,3,4,14,14,17,1,16,6,17,1,14,3,17,2,14,17,15,2,14,18,15,11,8,12,7,5,8,2,7,2,14,9,7,2,8,1,15,7,14,11,15,1,14,4,15,5,8,8,15,10,14,1,15,2,8,28,7,1,8,1,7,4,8,15,10,5,8,18,10,2,8,7,10,4,18,3,4,103,19,10,4,2,19,5,4,2,10,46,8,1,10,10,4,4,19,8,4,6,19,8,4,2,10,10,4,2,19,7,4,234,10,5,8,2,14,2,7,2,8,7,18,2,8,2,10,10,8,17,7,1,14,2,7,1,8,1,10,4,8,1,10,3,8,7,10,4,8,2,18,3,10,1,4,884,},
{4,834,18,1,3,1,16,2,3,2,16,3,17,1,14,2,17,1,16,36,17,1,14,6,15,1,14,6,3,1,16,2,3,2,16,2,3,1,18,1,4,59,18,2,3,6,16,12,17,1,14,1,7,3,8,2,15,1,14,16,15,1,8,12,10,3,8,2,10,3,8,10,10,10,8,9,10,8,8,3,10,3,8,7,9,1,10,3,8,4,15,4,8,5,15,2,14,7,15,2,14,3,15,1,8,3,15,2,14,1,15,6,8,1,15,2,14,7,3,2,14,2,15,1,18,1,8,3,15,2,14,5,17,1,16,20,17,1,14,2,17,1,16,4,14,2,17,1,16,5,17,1,14,3,17,1,16,25,14,5,16,2,17,1,14,2,17,2,16,1,17,1,14,3,17,1,16,3,14,5,17,5,16,16,17,1,14,4,17,1,16,11,14,1,8,1,10,3,8,5,15,1,14,1,16,3,3,2,14,2,15,1,8,7,18,1,15,1,14,9,15,4,18,2,15,2,14,19,17,2,16,6,17,5,14,37,15,10,8,8,7,1,8,4,7,2,14,3,7,8,14,5,7,1,8,3,15,3,14,14,15,2,14,2,15,2,8,1,15,3,8,18,15,2,8,32,7,3,8,15,10,7,8,3,10,6,8,17,10,3,18,2,4,110,19,4,4,2,19,5,4,2,10,9,4,2,10,19,8,1,10,23,4,7,19,7,4,7,19,8,4,3,18,2,10,6,4,3,19,7,4,233,10,5,8,2,14,3,7,2,18,1,8,10,10,12,8,2,10,1,8,12,7,3,8,2,10,3,8,3,10,2,8,8,10,3,8,2,18,2,8,1,10,1,4,884,},
{4,834,18,1,3,2,16,1,3,2,16,4,17,2,16,38,14,3,15,4,14,7,16,2,3,2,16,3,3,1,4,61,18,1,3,4,14,1,16,12,17,1,14,3,7,1,8,2,15,1,14,14,15,3,8,12,10,2,8,16,10,10,8,9,10,15,8,15,15,3,8,5,15,2,14,8,15,1,14,3,15,1,8,4,15,1,14,1,15,2,14,2,15,4,14,8,3,2,14,2,15,1,18,1,8,4,15,1,14,6,16,9,17,3,16,9,14,3,16,3,17,1,14,4,16,6,17,2,16,25,14,5,16,3,17,1,14,3,17,1,16,1,17,2,16,3,17,5,14,7,17,1,16,16,17,1,14,4,16,9,14,2,16,1,14,1,8,1,10,4,9,1,8,3,14,2,16,2,3,2,14,2,15,2,8,8,15,1,14,11,15,4,14,21,17,4,16,4,17,3,14,39,15,5,14,3,15,2,8,5,7,6,8,1,7,2,14,5,7,9,14,2,7,2,8,2,15,3,14,15,15,4,8,4,15,2,8,53,7,1,8,7,10,2,8,7,10,17,8,16,10,2,4,150,10,5,4,46,19,9,4,4,18,1,8,1,10,2,4,4,19,7,4,235,10,1,18,1,8,1,10,1,8,1,18,1,14,2,7,3,18,1,8,3,10,2,8,6,10,2,8,1,10,8,8,1,10,3,8,8,10,1,8,3,7,1,15,1,8,2,10,3,8,19,18,1,8,1,10,1,4,3,19,3,4,878,},
{4,835,3,4,16,46,14,1,15,2,8,1,15,2,14,7,16,2,14,2,3,1,16,2,3,2,4,61,18,5,3,1,16,10,17,1,14,5,8,3,15,1,14,12,15,2,8,1,15,1,18,3,8,9,10,1,8,17,10,11,8,6,10,17,8,10,18,2,8,3,15,3,8,5,15,2,14,11,15,2,8,3,15,2,14,6,15,2,14,13,15,1,18,1,8,4,15,1,14,7,16,7,17,1,14,3,17,1,16,9,17,1,14,1,17,1,16,2,14,5,16,15,17,1,16,17,14,4,17,1,16,3,17,1,14,2,17,1,16,7,14,3,17,2,14,8,17,1,16,15,17,5,16,9,14,4,8,1,10,4,8,2,15,2,14,2,3,3,14,3,15,1,8,9,18,1,15,1,14,16,15,2,14,15,17,1,14,5,17,2,16,3,17,1,14,39,15,6,14,3,15,2,8,3,7,11,14,8,7,5,14,4,7,2,15,1,14,19,15,3,8,4,15,2,8,3,15,2,8,48,7,1,8,7,10,3,8,6,10,17,8,12,10,3,18,2,4,136,19,6,4,60,19,10,4,4,8,1,10,1,4,3,19,9,4,235,10,4,18,1,14,3,7,3,18,1,8,4,10,1,8,9,10,12,8,5,15,1,8,2,10,2,8,6,10,2,8,19,10,2,8,1,18,2,4,3,19,3,4,877,},
{4,836,3,2,16,47,14,1,15,5,14,7,16,2,14,3,16,3,3,1,18,1,4,65,18,1,3,1,16,10,14,4,7,1,8,1,10,1,8,1,15,1,14,12,15,3,8,1,15,3,8,27,10,35,8,1,10,2,8,6,18,1,8,5,15,2,8,5,15,2,14,1,15,1,14,1,15,1,14,8,15,2,8,2,15,2,14,11,3,1,14,5,15,5,18,1,8,4,15,1,14,7,16,6,17,1,14,2,15,1,14,1,17,1,16,10,17,2,16,2,17,1,14,5,16,14,17,2,16,16,17,1,14,3,17,1,16,4,17,1,14,1,17,1,16,6,17,1,14,14,17,1,16,15,17,1,16,12,17,1,14,3,15,1,8,1,9,1,10,2,8,1,15,1,14,4,3,3,14,2,15,2,8,10,18,1,15,6,14,6,15,1,18,6,15,1,14,13,17,2,14,5,17,1,16,3,17,1,14,38,15,7,14,3,15,2,8,2,15,1,7,3,14,2,15,5,7,1,14,9,15,3,14,29,15,2,8,2,15,4,8,1,15,9,8,42,7,2,8,8,10,1,8,7,10,7,8,1,10,7,8,3,18,1,8,8,10,2,4,7,19,3,4,130,19,15,4,18,19,3,4,4,19,3,4,24,19,10,4,3,10,2,4,3,19,7,4,237,10,4,8,1,15,1,14,1,7,4,8,10,18,1,8,3,10,14,8,3,18,2,8,2,10,2,8,11,10,3,8,12,10,3,8,1,18,3,4,2,19,3,4,877,},
{4,836,18,1,3,1,16,47,14,2,15,4,14,13,16,3,3,1,18,2,4,56,19,3,4,1,19,2,4,2,18,3,3,4,16,4,14,4,8,2,10,1,8,1,15,1,14,14,15,5,8,12,10,8,8,1,10,1,8,5,10,20,8,6,10,12,9,1,8,3,10,1,8,7,15,2,8,4,15,3,14,1,15,4,14,7,15,6,14,3,15,1,14,12,15,1,18,1,8,1,18,1,15,1,18,2,8,4,15,1,14,9,17,1,16,3,17,1,14,1,15,2,14,2,16,11,17,4,14,5,16,13,17,1,14,1,17,1,16,18,14,2,17,1,16,4,17,2,16,8,14,14,17,1,16,28,17,1,14,4,15,1,8,4,14,5,3,3,14,1,15,2,8,13,15,9,18,10,15,1,14,12,17,2,14,5,17,1,16,4,17,1,14,38,15,8,14,2,15,6,14,3,15,5,7,1,14,43,15,3,14,2,15,1,8,1,15,9,8,59,10,8,8,1,10,7,8,11,10,3,4,5,19,5,4,130,19,18,4,14,19,12,4,27,19,7,4,3,10,1,4,2,19,8,4,236,9,1,10,4,8,1,18,1,14,1,7,4,8,9,18,3,8,2,10,14,8,2,18,3,8,2,10,3,8,2,10,3,8,5,10,4,8,11,10,3,8,1,18,1,3,1,18,1,4,2,19,4,4,876,},
{4,837,3,1,16,46,17,1,14,4,15,4,14,9,15,1,14,2,3,2,14,2,18,1,3,1,18,1,4,54,19,6,4,6,18,2,14,1,3,1,16,3,14,1,15,1,8,6,15,1,14,5,15,5,14,8,15,1,8,11,10,12,8,4,10,6,8,3,10,11,8,5,10,19,8,6,15,2,8,4,15,2,14,2,15,7,14,5,15,6,14,14,15,1,18,1,8,3,18,3,8,4,15,1,14,10,16,4,14,1,15,3,14,1,16,11,17,3,16,2,14,4,17,1,16,12,17,1,14,2,16,19,17,3,16,1,17,4,16,9,14,13,17,1,16,18,14,1,17,1,16,7,17,2,14,6,15,1,8,1,15,1,14,5,3,1,16,1,3,1,14,1,15,1,8,14,15,3,8,4,18,6,8,3,18,3,15,1,14,12,16,2,17,1,14,3,17,1,16,6,14,39,15,3,8,2,15,2,14,4,15,13,14,48,15,1,8,1,15,10,8,57,10,16,8,7,10,2,8,3,10,2,4,5,19,6,4,130,19,20,4,3,19,6,4,3,19,12,4,28,19,6,4,6,19,8,4,236,10,4,8,1,18,2,7,4,8,4,18,1,8,5,18,4,8,1,10,14,8,3,18,2,8,2,10,8,8,4,10,5,8,11,10,3,8,1,18,1,3,2,18,1,4,1,19,3,4,877,},
{4,837,18,1,3,1,16,46,14,5,15,5,14,7,15,3,14,4,3,3,4,54,19,6,4,8,18,1,14,1,16,3,14,1,8,2,10,1,8,4,18,1,14,5,15,2,8,2,15,1,14,8,15,1,8,11,10,12,8,3,10,6,8,5,10,9,8,5,10,20,8,12,15,2,14,2,15,2,14,1,15,1,8,2,15,2,14,5,15,7,14,8,15,6,8,3,18,5,15,3,14,10,17,1,16,3,14,2,15,2,14,1,16,12,17,1,16,4,14,4,17,1,16,3,17,2,16,7,14,2,17,1,16,18,17,1,14,5,17,2,16,10,17,1,14,8,15,2,14,1,16,19,14,2,16,4,17,1,14,2,17,1,16,2,14,6,15,1,14,6,3,1,16,1,3,1,14,1,8,10,18,4,15,4,8,6,18,5,8,2,18,4,15,1,14,11,16,2,17,2,14,1,17,1,16,7,14,40,15,7,14,4,15,2,7,1,15,10,14,47,8,3,15,1,7,1,15,8,8,4,15,3,8,48,10,16,8,6,10,4,8,4,10,1,4,5,19,6,4,130,19,30,4,2,19,12,4,28,19,7,4,4,19,8,4,237,10,3,18,4,8,6,18,4,8,4,18,4,8,1,10,8,8,3,10,3,8,3,18,1,8,3,10,8,8,4,10,5,8,11,10,3,8,1,18,1,3,2,18,1,4,1,19,4,4,876,},
{4,838,18,1,3,1,16,45,14,5,15,5,14,1,16,2,14,4,15,2,8,2,7,1,14,3,3,2,18,1,4,54,19,5,4,8,9,1,14,1,3,1,16,2,14,1,15,1,10,2,8,5,14,5,15,2,8,2,15,1,14,8,15,1,8,11,10,3,8,2,10,6,8,3,10,7,8,6,10,8,8,4,10,7,8,1,10,13,8,12,15,2,14,2,15,1,14,2,15,1,8,3,15,4,14,2,15,6,14,7,15,2,8,2,15,2,14,1,15,1,18,1,8,2,18,2,15,6,14,11,16,3,17,1,14,1,15,2,14,1,17,1,16,11,17,1,16,5,3,1,14,2,6,1,17,1,16,1,17,4,16,6,17,1,6,1,17,1,16,18,17,1,14,5,17,2,16,12,14,7,15,2,14,1,16,5,17,2,16,12,14,2,17,1,16,3,17,1,14,1,17,1,16,5,3,1,14,9,3,1,16,2,3,1,14,1,8,8,18,2,15,2,14,2,15,4,8,4,18,13,15,1,14,11,17,1,16,1,17,4,16,7,17,1,14,19,3,2,14,8,3,2,14,10,15,4,14,5,15,13,14,46,15,1,8,3,15,1,8,1,15,8,8,4,15,3,8,48,10,16,8,4,10,5,8,5,10,1,4,2,19,9,4,131,19,5,4,2,19,22,4,2,19,11,4,29,19,8,4,3,19,8,4,237,9,1,10,1,18,3,14,1,18,1,8,6,18,3,8,5,18,4,8,2,10,5,8,5,10,2,8,4,18,2,8,1,10,9,8,4,10,4,8,4,10,3,8,4,10,4,8,1,18,1,3,2,18,1,4,1,19,4,4,876,},
{4,839,18,1,3,3,16,44,14,3,15,5,14,1,16,2,17,1,14,1,16,1,17,1,14,1,7,1,8,3,7,1,14,2,3,2,18,1,4,67,10,1,18,1,3,1,16,2,3,1,14,1,8,1,10,2,8,4,14,7,8,3,15,1,14,8,8,11,10,2,8,4,10,4,8,5,10,8,8,4,10,2,8,3,10,2,8,5,10,7,8,2,10,12,8,8,10,2,9,1,8,1,15,3,14,1,15,1,14,3,8,3,15,12,14,4,15,6,18,1,15,1,14,3,15,1,18,2,15,2,14,17,16,4,14,2,15,1,14,1,17,1,16,19,17,3,16,1,17,2,6,1,17,1,16,6,17,5,16,6,17,1,16,9,17,2,14,2,17,2,16,15,17,1,14,8,17,1,16,3,17,1,14,2,16,12,14,3,16,1,17,1,14,2,17,1,16,7,3,2,14,7,16,3,3,1,14,1,15,2,8,3,9,1,8,2,18,1,15,1,14,7,15,1,18,1,8,3,18,14,14,12,17,4,16,8,17,2,14,17,3,3,14,7,3,3,14,11,15,4,14,4,15,12,14,47,15,2,8,1,15,11,8,4,15,3,8,29,7,1,8,17,10,16,8,4,10,5,8,5,10,2,4,2,19,8,4,140,19,21,4,2,19,8,4,33,19,7,4,2,19,8,4,238,9,1,8,1,10,1,18,1,3,1,14,1,8,7,18,2,8,5,18,4,8,4,10,2,8,6,10,2,8,5,18,2,8,2,10,8,8,5,10,1,8,5,10,12,8,2,18,3,4,2,19,3,4,876,},
{4,841,18,2,14,1,16,42,17,1,14,9,16,6,17,1,14,1,8,2,7,1,14,2,3,3,18,1,4,61,19,5,4,1,10,1,18,1,3,1,16,3,3,1,15,1,8,1,10,1,8,4,14,1,3,5,14,1,15,1,8,2,15,6,14,3,15,1,8,5,10,3,8,3,10,1,8,4,10,3,8,6,10,9,8,2,10,2,8,4,10,2,8,5,10,16,8,12,10,4,8,2,15,2,14,5,8,3,15,11,14,5,15,3,14,2,15,2,14,5,15,3,14,15,15,1,14,3,16,3,14,1,15,2,14,2,16,5,17,2,16,13,17,1,16,2,17,4,16,6,17,6,16,4,14,2,17,1,16,10,17,1,16,19,14,8,17,1,16,2,17,1,14,3,16,4,17,2,16,6,17,1,14,1,17,2,14,3,16,8,14,8,3,1,16,3,3,1,14,1,15,3,8,2,10,2,8,2,15,1,14,6,15,2,18,1,8,3,18,7,8,2,18,5,14,16,17,1,16,7,17,1,14,18,3,3,14,13,15,2,14,7,15,13,8,2,15,4,14,44,15,2,14,1,15,4,14,1,15,9,8,4,15,3,8,14,15,1,8,14,7,1,8,18,10,14,8,5,10,4,8,5,10,3,4,1,19,6,4,150,19,14,4,44,19,6,4,2,19,6,4,240,18,1,9,1,10,1,18,3,8,14,18,4,8,4,10,2,8,13,14,2,18,1,8,1,10,3,8,2,10,3,8,11,10,11,8,3,18,3,4,3,19,3,4,875,},
{4,844,18,1,3,1,16,41,14,10,16,6,14,2,15,1,14,2,16,2,3,2,18,2,4,60,19,5,4,1,18,1,14,1,3,1,16,3,3,1,14,1,18,1,8,1,10,3,8,1,14,2,3,1,16,2,3,1,14,2,15,1,8,6,15,1,14,3,8,6,10,3,8,3,10,1,8,5,10,1,8,7,10,15,8,1,10,3,8,5,10,17,8,11,10,4,8,2,15,3,14,4,15,1,8,2,15,1,8,1,15,4,14,1,15,3,14,5,15,4,14,26,15,4,14,2,16,2,14,5,16,5,14,1,17,1,16,17,17,4,16,9,17,2,16,3,17,1,14,2,17,1,16,30,14,9,17,1,16,1,17,1,14,3,17,1,16,15,17,1,14,2,16,8,14,8,3,1,16,3,3,1,14,3,15,1,8,3,10,1,8,2,18,1,15,1,14,5,15,2,18,1,8,3,18,6,8,3,18,4,15,1,14,3,3,1,14,11,17,2,16,7,17,2,14,33,15,2,14,7,15,15,14,48,15,2,14,2,15,2,14,3,15,2,14,2,15,5,8,4,15,2,8,1,15,6,8,7,15,2,8,12,7,3,8,26,10,5,8,5,10,2,8,3,18,2,8,1,10,1,4,4,19,6,4,151,19,13,4,44,19,6,4,3,19,5,4,240,18,1,9,1,10,1,18,3,8,1,10,1,8,10,18,5,8,4,10,1,8,15,18,1,14,2,8,2,10,2,8,1,10,4,8,11,10,11,8,3,18,3,4,3,19,5,4,873,},
{4,844,19,2,18,1,16,41,17,1,14,8,16,7,14,2,3,1,16,3,3,3,18,1,4,60,19,5,4,1,18,1,3,1,16,4,3,1,14,1,15,1,9,2,10,1,8,2,15,1,14,1,16,2,17,1,14,4,15,1,8,2,10,1,8,2,14,4,8,2,10,1,8,4,10,7,8,5,10,1,8,6,10,20,8,4,10,17,8,10,10,5,8,2,18,1,15,8,18,1,8,3,15,1,14,12,15,4,14,24,15,1,14,1,15,3,14,2,17,1,16,1,14,4,17,1,16,5,14,2,16,18,14,2,16,15,17,3,16,32,17,1,14,5,15,1,14,2,17,3,14,3,17,1,16,16,17,1,16,8,14,9,16,3,3,1,14,3,15,2,18,1,8,6,18,1,14,1,3,2,14,1,18,12,8,4,18,1,15,1,14,7,3,4,14,6,16,3,17,1,14,3,17,1,16,2,17,1,14,33,15,2,14,7,15,13,14,65,15,5,8,3,7,9,8,6,7,2,8,7,7,8,8,32,10,4,8,2,18,6,10,1,4,3,19,6,4,210,19,4,4,249,18,1,9,1,10,1,18,3,8,11,18,1,14,2,18,1,8,5,10,2,8,16,14,3,18,1,8,1,10,5,8,11,10,12,8,2,18,4,4,4,19,5,4,872,},
{4,842,19,4,4,1,3,1,16,42,17,1,14,6,17,1,16,6,3,4,16,4,3,1,14,1,18,1,4,59,19,5,4,1,18,1,3,1,16,4,3,3,18,1,9,1,10,1,8,2,15,1,14,1,17,1,16,1,14,6,8,2,10,1,8,1,15,1,14,3,18,1,8,1,10,3,8,4,10,7,8,5,10,1,8,1,10,2,8,2,10,20,8,3,10,8,8,1,10,14,8,5,10,3,8,5,18,6,14,1,15,1,18,1,8,3,15,1,14,12,15,4,14,20,3,1,16,1,14,2,15,1,14,1,15,3,14,3,16,1,14,3,17,1,16,5,14,3,16,18,14,2,16,53,14,2,15,3,14,2,17,7,16,15,17,1,14,2,16,6,14,9,3,1,16,3,14,5,15,1,18,1,8,5,18,1,14,1,3,2,14,1,18,12,8,4,15,2,14,7,3,1,16,2,3,3,14,4,17,1,16,1,17,1,14,3,17,1,16,5,14,5,16,2,3,1,14,32,15,4,14,2,15,7,14,52,15,2,14,11,7,3,15,3,8,3,7,9,8,7,7,2,15,3,7,12,8,16,18,3,8,10,10,6,8,1,18,6,4,4,19,2,4,466,18,3,8,2,18,4,8,4,15,2,8,4,15,1,14,2,8,6,10,2,8,3,18,4,8,9,14,4,8,1,10,4,8,6,18,1,8,5,10,2,8,6,10,4,8,2,18,2,8,2,10,1,18,1,4,2,19,5,4,872,},
{4,842,19,6,3,1,16,14,17,1,16,26,17,4,14,4,16,5,3,1,14,4,3,1,16,4,3,1,15,1,9,1,4,58,19,5,4,1,18,1,3,1,16,4,3,3,15,1,18,1,9,2,8,1,15,1,14,2,17,1,14,6,15,1,8,3,15,1,14,3,18,1,8,2,10,1,8,5,10,6,8,5,10,5,8,3,10,20,8,3,10,7,8,1,10,6,8,2,10,6,8,1,18,1,8,3,10,4,8,9,18,1,15,2,8,4,15,1,14,12,15,4,14,20,16,2,14,2,15,1,14,2,15,1,14,3,17,1,16,1,14,3,16,5,14,4,16,18,14,2,17,1,16,16,17,3,16,33,14,8,17,2,16,18,17,1,14,3,17,1,16,3,17,1,14,6,15,3,14,2,16,3,3,1,14,5,15,2,18,5,15,1,14,4,18,8,8,1,18,2,8,2,18,2,15,2,14,6,3,3,16,1,3,3,14,8,17,2,16,6,17,1,14,3,16,3,3,1,14,32,15,4,14,2,15,7,14,51,15,4,14,11,7,2,15,3,7,5,8,4,7,3,8,9,15,3,7,13,8,15,18,1,8,10,10,7,8,3,18,4,4,473,10,1,8,2,10,1,18,1,3,1,14,3,18,1,8,2,15,3,8,4,18,1,15,1,18,1,8,6,10,2,8,4,18,2,8,9,18,1,14,3,18,1,8,2,10,2,8,4,10,1,8,8,10,3,8,6,10,4,8,1,18,2,8,4,18,1,4,1,19,5,4,872,},
{4,842,19,5,4,1,3,1,16,14,6,1,14,1,17,1,16,29,17,1,14,2,16,5,3,1,14,5,3,1,16,3,3,1,14,1,18,1,4,59,19,3,4,2,3,2,16,4,3,3,14,2,15,1,8,3,14,2,17,1,14,7,15,1,8,1,15,1,14,3,15,1,8,10,10,1,8,8,10,7,8,2,10,17,8,1,10,4,8,7,10,1,8,1,10,5,8,3,10,5,8,25,15,2,14,5,15,3,14,3,15,4,14,20,16,3,14,9,16,2,17,3,16,4,14,5,17,1,16,17,17,1,14,2,16,16,17,3,16,33,14,9,17,2,16,17,17,1,14,1,15,2,14,1,16,3,14,6,15,3,14,3,3,1,16,2,3,6,14,3,15,2,14,1,15,1,18,3,14,3,18,5,8,2,18,7,15,2,14,6,3,7,14,7,17,1,16,9,17,1,14,1,17,1,16,3,3,1,14,32,15,4,14,6,15,3,14,51,15,4,14,11,7,2,15,3,7,5,8,4,7,4,8,8,15,2,8,2,7,12,8,24,10,7,8,5,18,1,4,476,10,1,8,1,10,2,18,1,3,1,14,1,18,1,15,1,18,1,8,2,15,3,8,19,18,2,8,9,18,2,14,2,18,1,8,7,10,4,8,6,10,4,8,6,10,3,8,7,18,1,4,2,19,5,4,871,},
{4,842,19,5,4,2,3,1,16,13,6,1,14,1,17,1,16,30,17,3,16,4,3,1,14,6,3,1,16,3,3,1,18,1,4,63,18,1,3,1,16,7,3,2,14,1,15,1,8,3,14,10,15,2,14,4,15,1,8,19,10,8,8,2,10,7,8,3,10,4,8,4,10,3,8,6,10,9,8,1,10,4,8,27,15,3,14,5,15,3,14,2,15,5,14,18,3,1,16,3,14,8,17,1,16,3,17,1,16,4,17,1,14,5,17,1,16,1,17,2,16,15,14,2,17,1,16,51,14,10,17,2,16,16,17,1,14,1,7,2,17,1,16,3,14,6,15,2,14,5,3,1,14,3,3,2,16,2,3,2,14,5,18,4,14,1,18,14,15,1,18,1,15,2,14,6,3,4,14,9,17,1,16,16,14,21,17,3,3,1,14,8,15,2,14,19,15,1,14,20,15,1,14,20,15,4,14,11,15,5,7,4,8,5,7,5,8,13,7,6,8,3,7,1,8,23,10,8,8,1,18,5,4,476,10,3,8,1,18,6,8,3,15,1,18,1,8,18,18,3,8,10,18,3,8,8,10,5,8,5,10,4,8,7,10,2,8,7,18,1,4,2,19,6,4,870,},
{4,842,19,5,4,2,18,1,3,1,16,12,17,1,14,1,17,1,16,32,14,14,3,1,16,1,3,1,14,1,4,63,18,1,3,1,16,2,14,3,17,1,16,2,3,2,14,1,8,2,15,1,14,16,8,11,10,2,8,6,10,9,8,3,10,5,8,12,10,3,8,6,10,13,8,27,15,7,14,7,15,5,14,18,16,4,14,8,17,1,16,2,17,1,16,4,14,11,17,1,16,14,17,1,14,1,17,1,16,50,17,1,14,3,15,4,14,5,17,1,16,16,14,3,16,5,14,1,15,1,14,1,15,3,14,3,3,1,14,7,3,1,16,3,3,2,14,5,18,1,8,1,18,19,15,2,14,12,17,3,14,3,17,1,16,16,14,3,3,1,14,1,3,3,14,13,17,1,16,3,3,1,14,27,15,2,14,20,15,2,14,20,15,3,14,5,15,1,14,2,15,8,7,5,8,2,7,9,8,12,7,5,8,8,7,1,8,6,10,1,8,11,10,8,18,5,4,478,10,3,18,2,8,8,18,1,8,16,18,5,8,10,18,4,8,6,10,6,8,4,10,5,8,8,10,3,8,5,10,1,18,1,4,2,19,5,4,870,},
{4,842,19,7,4,1,3,4,16,4,17,2,16,4,17,2,16,32,17,1,14,9,15,3,14,2,3,3,18,1,4,62,3,2,16,1,3,1,14,4,16,2,3,2,14,1,15,1,8,1,15,1,14,15,15,1,8,11,10,2,8,6,10,9,8,3,10,5,8,11,10,3,8,3,18,1,8,3,10,13,8,2,18,1,8,3,10,1,8,17,18,1,15,5,8,1,15,3,14,5,15,9,14,16,17,1,16,3,14,8,17,1,16,2,17,2,16,2,17,1,14,12,16,15,17,2,16,29,17,2,16,19,14,4,15,4,14,5,17,1,16,16,17,3,16,5,14,1,15,2,8,2,15,1,14,2,16,2,14,2,15,4,14,1,3,1,16,4,3,1,14,3,3,1,14,1,18,1,8,1,18,19,15,3,14,11,17,1,16,3,17,1,14,1,17,1,16,3,17,2,16,10,17,1,14,3,3,1,14,1,3,3,17,3,14,10,17,1,16,3,3,1,14,27,15,3,14,19,15,2,14,28,15,11,7,17,8,12,7,4,8,7,7,2,8,6,10,2,8,9,10,8,18,3,4,481,10,3,8,1,18,1,8,19,18,11,8,10,18,2,14,2,18,2,8,4,10,6,8,3,10,6,8,8,10,4,8,4,10,1,18,2,4,2,19,4,4,870,},
{4,842,19,8,4,1,18,1,4,1,18,1,3,2,16,3,17,1,16,4,17,3,16,31,17,1,14,8,15,4,14,3,16,1,3,1,18,1,4,61,18,1,3,2,16,1,14,5,16,4,14,5,17,2,14,12,15,1,8,10,10,3,8,5,10,10,8,2,10,6,8,10,10,4,8,2,18,2,8,4,10,1,8,1,10,9,8,3,18,2,8,20,15,5,8,3,15,2,14,5,15,10,14,15,3,1,16,3,14,7,17,3,14,2,17,1,16,1,17,1,14,13,17,1,16,15,17,2,16,28,17,1,14,1,17,1,16,17,17,1,14,5,15,1,14,7,16,5,17,1,16,19,14,1,15,1,8,3,15,1,14,2,16,2,14,2,15,1,8,3,15,1,14,1,3,1,16,2,3,6,14,1,15,1,8,4,18,5,15,2,18,3,15,2,18,1,15,1,18,3,15,2,14,11,17,1,16,4,17,2,16,4,17,2,16,6,17,5,14,4,3,2,16,2,17,3,14,9,17,1,16,3,3,1,14,27,15,4,14,18,15,2,14,27,15,7,8,6,7,4,8,4,7,9,8,2,7,1,8,9,7,3,8,7,7,2,8,6,10,3,8,8,10,7,4,485,8,2,10,1,18,2,8,6,15,1,18,1,8,1,18,3,8,6,18,11,8,12,18,1,14,4,18,1,8,2,10,8,8,2,10,6,8,7,10,5,8,6,18,1,4,3,19,4,4,869,},
{4,843,19,10,4,2,18,1,3,1,16,6,17,1,14,4,17,1,16,28,17,2,14,5,15,5,14,5,16,2,3,1,18,1,4,60,18,1,3,2,16,1,17,1,14,3,17,2,16,3,17,1,14,3,17,3,14,12,7,1,8,8,10,6,8,4,10,18,8,4,10,9,8,3,18,2,8,7,10,3,8,4,10,2,8,24,18,1,15,4,8,3,15,2,14,5,15,11,14,15,3,1,16,2,14,7,17,1,14,4,17,2,14,14,17,4,16,12,17,1,14,2,17,1,16,1,17,1,16,7,17,1,16,16,17,1,14,2,17,1,16,14,17,2,14,13,17,1,16,5,17,2,16,18,14,1,8,4,15,1,14,2,16,1,3,1,14,3,15,2,8,2,18,1,14,1,3,8,14,1,15,1,8,3,18,6,15,13,14,12,17,1,16,4,17,2,16,11,17,2,14,1,17,4,14,3,3,1,16,3,17,3,14,10,17,1,16,1,3,2,14,27,15,4,14,19,15,1,14,27,15,7,8,7,7,2,8,10,7,1,8,4,7,3,8,9,7,3,8,6,7,2,8,6,10,3,8,10,10,5,4,5,19,3,4,476,10,1,8,1,10,2,18,1,3,1,18,2,8,3,18,1,14,2,18,2,14,2,18,2,8,2,18,8,8,3,18,1,8,13,18,1,14,4,18,1,8,2,10,8,8,2,10,4,8,9,10,5,8,6,18,1,4,4,19,4,4,868,},
{4,846,19,8,4,2,18,1,3,1,16,4,17,1,14,6,16,27,14,7,15,5,14,6,16,2,3,1,18,1,4,61,3,2,16,2,17,3,16,3,17,7,16,1,17,2,14,4,17,1,14,6,7,1,8,8,10,6,8,2,10,20,8,4,10,9,8,3,18,1,8,6,18,1,8,1,10,3,8,4,10,3,8,25,15,4,8,1,15,3,14,4,15,5,14,1,15,6,14,4,3,1,14,11,3,1,17,1,14,7,17,1,14,5,17,1,14,14,17,2,14,3,16,12,14,5,17,1,16,5,17,1,14,2,17,1,16,9,17,2,16,3,17,1,14,3,16,8,17,2,16,3,17,1,14,3,17,3,14,8,16,7,17,2,16,17,17,1,14,1,15,1,8,2,15,2,14,8,15,1,8,4,15,1,14,5,3,2,14,2,18,9,15,6,14,1,15,6,14,12,16,5,14,2,16,11,17,1,14,2,17,1,16,3,17,1,14,3,16,3,17,2,14,11,17,2,3,2,14,30,15,2,14,44,15,8,8,26,7,2,8,13,7,2,8,3,7,1,8,7,10,3,8,10,10,1,18,1,10,2,4,2,19,7,4,476,9,1,8,1,10,1,18,1,3,2,18,1,8,4,18,1,14,7,18,8,8,20,18,1,14,1,3,2,14,1,15,1,8,1,10,3,8,3,10,6,8,12,10,5,8,2,18,1,8,3,18,2,4,3,19,4,4,868,},
{4,848,19,6,4,3,3,2,16,3,17,1,14,6,16,27,14,6,15,4,14,8,3,1,16,1,3,1,18,1,4,4,19,2,4,55,18,1,3,1,16,17,17,1,14,3,17,2,14,6,7,1,8,9,10,28,8,3,10,9,8,7,10,2,8,3,10,4,8,3,10,3,8,20,10,1,8,4,18,1,15,7,14,1,15,4,8,2,15,2,14,3,15,4,14,24,17,2,14,5,17,1,14,19,16,12,17,1,14,5,17,1,16,4,17,1,14,4,16,8,17,3,16,2,17,1,14,3,17,1,16,6,17,4,16,2,17,1,14,3,17,1,16,4,14,5,17,1,16,7,17,3,16,16,17,1,14,1,15,4,14,9,15,1,8,5,18,4,15,1,14,4,15,1,18,8,15,3,14,5,15,5,14,11,17,1,16,4,14,3,17,1,16,11,17,1,14,1,17,1,16,4,17,3,16,2,17,2,14,13,17,1,16,2,14,4,3,1,14,20,15,2,14,3,15,2,14,43,15,1,18,1,15,8,8,26,7,1,8,13,7,3,8,2,7,1,8,8,10,2,8,9,18,2,4,5,19,7,4,476,9,1,8,1,10,1,18,1,3,2,18,1,8,1,10,3,8,1,14,1,3,5,14,6,18,2,8,15,7,4,8,3,14,4,18,1,8,1,10,3,8,4,10,4,8,13,10,5,8,7,18,2,4,2,19,5,4,867,},
{4,848,19,4,4,5,18,1,3,1,16,37,14,5,15,4,14,11,3,1,18,1,4,4,19,5,4,52,18,1,3,1,16,17,17,1,14,2,17,4,14,1,17,1,14,3,7,1,8,9,10,27,8,4,10,8,8,5,10,18,8,17,10,6,8,3,15,6,14,1,15,3,8,4,15,1,14,32,17,1,14,6,17,1,14,11,17,2,14,6,17,1,16,12,14,1,17,1,14,5,17,1,16,2,17,1,14,5,16,7,14,2,17,1,16,2,17,1,14,3,17,1,16,5,17,5,16,2,17,1,14,3,17,1,16,4,14,5,17,1,16,6,17,2,14,2,17,1,16,16,14,2,15,3,14,6,3,1,14,2,15,1,8,10,18,1,14,10,15,4,14,6,15,3,14,13,17,1,16,3,17,1,14,3,17,1,16,12,17,2,16,8,17,2,14,6,17,1,14,1,17,1,14,5,17,1,16,2,3,1,14,2,3,4,14,18,15,2,14,3,15,2,14,43,15,1,18,2,15,7,8,40,7,3,8,15,18,3,8,3,18,1,4,6,19,8,4,476,9,1,10,2,18,1,3,2,18,1,10,5,18,1,14,1,3,4,14,1,3,1,14,3,18,2,8,16,7,4,8,3,18,1,14,3,18,1,8,1,10,3,8,5,10,3,8,13,10,6,8,7,18,2,4,2,19,6,4,865,},
{4,858,3,1,16,37,14,4,15,4,14,6,15,3,14,4,18,1,4,5,19,5,4,51,18,1,3,1,16,9,17,1,16,4,17,1,16,1,17,2,6,1,14,1,17,1,16,2,17,3,14,3,7,2,8,9,10,2,8,1,10,3,8,3,10,17,8,4,10,8,8,3,10,19,8,19,10,6,8,3,15,2,14,4,15,2,8,4,15,2,14,38,17,2,14,10,17,1,16,1,17,1,14,6,17,1,16,14,17,1,14,5,16,2,17,1,14,5,16,7,14,2,17,3,14,4,17,1,16,5,17,4,16,3,17,1,14,3,17,1,16,4,14,6,16,6,14,5,16,16,17,1,14,1,15,2,14,6,3,2,14,2,15,1,8,2,18,2,8,2,10,3,8,2,18,1,14,35,17,1,16,3,17,1,14,3,17,1,16,12,17,2,16,8,17,1,14,7,17,2,16,1,17,2,14,4,16,2,14,4,16,2,3,1,14,17,15,3,14,3,15,2,14,42,15,2,18,1,8,2,15,4,8,1,15,1,8,41,7,1,8,10,18,1,8,4,18,8,4,6,19,7,4,478,10,2,18,1,3,2,8,1,10,2,8,1,10,2,8,1,14,1,3,3,14,3,3,1,14,2,18,1,8,7,7,2,8,7,7,5,8,4,15,1,14,2,8,2,10,4,8,4,10,2,8,14,10,8,8,5,18,2,4,3,19,5,4,865,},
{4,858,3,1,16,21,14,2,16,13,14,4,15,5,14,5,15,6,14,3,18,1,4,4,19,5,4,52,18,1,3,1,16,7,17,3,16,2,17,2,16,1,17,2,6,1,17,2,16,2,17,3,14,2,7,3,8,8,10,2,8,2,10,3,8,5,10,14,8,6,10,29,8,1,10,2,8,18,10,4,8,3,15,2,14,4,15,2,8,4,15,2,14,38,17,2,14,3,16,2,17,1,14,4,16,3,14,6,17,1,16,6,17,2,16,8,14,4,16,2,17,1,14,5,16,7,14,3,17,2,14,4,17,1,16,5,17,3,16,4,17,1,14,4,17,1,16,2,17,1,14,2,15,1,14,3,17,1,16,5,14,3,7,1,14,1,17,1,16,15,17,1,14,1,15,1,8,1,14,6,16,2,3,1,14,1,15,1,8,1,15,3,18,1,8,1,10,3,8,2,18,1,14,30,3,3,14,2,17,2,16,2,17,3,14,2,17,1,16,4,17,1,16,6,17,1,14,1,17,1,16,7,14,8,17,1,16,3,17,1,14,4,16,2,14,4,16,2,3,1,14,17,15,5,14,40,15,5,18,2,8,6,15,1,8,53,18,2,8,4,18,6,4,9,19,1,4,484,18,2,3,2,18,1,10,2,8,2,10,2,8,1,14,1,3,1,18,4,14,2,18,1,8,8,7,4,8,5,7,5,8,5,15,2,8,2,10,4,8,4,10,2,8,14,10,8,8,6,18,2,4,2,19,6,4,864,},
{4,858,3,1,16,21,15,1,8,1,16,11,17,1,14,6,15,13,14,4,3,2,18,1,4,3,19,5,4,52,18,1,3,1,16,5,17,5,16,2,17,2,16,1,17,5,16,2,17,3,14,1,7,3,8,3,10,2,8,3,10,4,8,1,10,2,8,7,10,13,8,6,10,14,8,3,10,6,8,6,10,4,8,19,9,1,8,4,15,2,14,4,15,2,8,3,15,2,14,29,15,2,14,8,17,2,14,2,17,1,16,2,17,1,14,3,17,1,16,3,14,7,16,6,14,3,16,8,14,2,17,1,16,2,17,1,14,5,16,7,14,3,17,1,14,3,15,1,14,1,17,1,16,12,17,1,14,4,17,1,16,1,17,1,14,2,15,2,14,4,16,5,14,3,7,1,14,1,17,1,16,14,17,1,14,2,8,2,14,6,16,3,14,1,15,1,8,1,15,1,14,1,15,1,18,1,8,1,10,2,8,2,18,4,15,1,14,27,3,1,16,1,3,2,14,1,17,1,16,6,17,1,14,3,17,5,16,5,14,3,17,1,16,5,17,1,14,8,17,1,16,3,17,1,14,10,3,1,17,1,14,18,15,6,14,38,15,4,8,3,18,2,8,37,7,2,8,8,7,2,8,10,18,2,8,2,10,2,18,4,4,496,18,2,3,2,18,1,8,1,10,2,8,1,10,2,8,1,18,2,8,1,10,1,8,1,18,2,14,1,18,1,8,8,7,3,8,17,15,2,8,2,10,3,8,5,10,1,8,13,10,8,8,7,18,3,4,2,19,5,4,864,},
{4,858,18,1,3,1,16,19,14,1,10,2,14,1,16,10,14,6,15,4,8,6,15,4,14,1,15,1,14,2,3,1,16,1,3,1,18,1,4,3,19,4,4,53,18,1,3,1,16,4,17,5,16,2,17,8,16,3,17,2,14,1,7,1,8,5,10,3,8,1,10,4,8,12,10,11,8,8,10,13,8,3,10,6,8,2,18,2,8,2,10,4,8,24,15,2,14,3,15,3,8,3,15,1,14,41,17,2,14,1,16,5,14,2,17,1,16,3,17,1,14,6,16,6,14,4,17,1,16,6,17,1,14,1,16,3,17,1,14,5,16,4,17,1,14,4,16,1,17,1,14,2,15,2,14,1,17,1,16,12,17,1,14,4,17,1,16,2,14,7,17,1,16,5,14,2,15,1,7,2,14,1,16,14,14,3,8,2,14,6,16,3,14,1,15,2,14,3,15,1,8,1,10,1,8,2,18,10,14,23,3,5,16,8,17,1,14,7,17,1,16,4,17,1,14,2,17,1,16,5,17,1,14,8,17,1,16,3,17,2,14,32,15,2,14,38,15,4,8,41,7,5,8,18,18,3,8,1,10,2,4,501,18,1,3,4,18,2,10,5,18,2,10,3,8,1,18,2,8,9,7,3,8,17,18,2,8,2,10,3,8,4,10,3,8,8,10,1,8,4,10,7,8,2,18,1,8,4,18,3,4,2,19,5,4,864,},
{4,859,3,2,16,18,14,1,8,2,3,1,16,10,14,5,15,5,8,2,9,3,8,1,15,2,14,2,15,3,14,2,16,2,3,3,18,1,4,1,19,3,4,53,18,1,3,1,16,4,17,16,16,2,17,2,14,1,8,9,10,3,8,16,10,9,8,3,10,5,8,4,10,9,8,3,10,7,8,1,18,1,8,6,10,2,8,6,18,5,8,12,15,1,14,4,15,1,8,5,15,1,14,11,15,3,14,4,15,3,14,21,17,1,16,6,14,3,16,4,14,5,16,8,14,1,15,2,14,2,16,6,17,1,16,1,17,1,14,2,17,2,14,4,16,3,14,4,17,1,16,2,17,1,14,1,15,2,14,1,16,5,17,3,16,6,17,1,14,3,16,3,14,4,16,9,14,1,15,1,8,2,15,1,7,1,14,1,16,13,14,2,15,3,14,6,3,1,16,2,3,1,14,2,3,3,14,1,8,5,18,4,8,1,18,4,15,1,14,9,15,2,14,12,3,3,16,6,17,1,16,3,17,1,6,1,14,6,17,1,16,5,17,3,16,3,17,3,14,8,17,1,16,4,17,1,14,6,15,2,14,4,3,2,14,37,15,1,14,2,15,4,14,13,15,7,18,2,8,8,15,5,7,2,8,10,7,1,8,8,7,3,8,21,18,4,8,1,10,1,4,502,18,1,3,6,18,1,10,4,18,2,10,4,18,2,8,9,7,3,8,16,18,1,8,3,10,4,8,4,10,4,8,6,10,3,8,4,10,4,8,9,18,3,4,2,19,6,4,59,19,3,4,801,},
{4,860,3,2,16,6,3,3,16,7,3,1,15,1,8,1,15,1,16,11,17,1,14,3,15,6,8,2,9,1,10,2,8,1,15,1,14,3,15,3,14,2,3,1,16,4,3,1,18,1,4,1,19,3,4,52,18,1,14,1,17,1,16,2,17,8,14,2,17,4,6,2,17,1,16,2,17,1,14,1,7,1,8,4,7,2,8,23,10,7,8,4,10,5,8,3,10,20,8,6,18,1,8,2,10,2,8,4,18,1,15,3,18,2,8,12,15,1,14,4,15,1,8,5,15,1,14,10,15,5,14,2,15,4,14,21,17,1,16,7,14,1,17,1,16,4,17,1,14,4,16,8,14,1,15,1,14,5,17,1,16,5,17,3,16,2,14,4,16,3,17,1,14,3,16,3,17,1,14,1,15,1,14,1,17,1,16,6,17,2,16,13,14,4,17,1,16,8,14,1,15,1,8,4,14,1,16,6,14,1,6,1,16,5,17,1,14,10,3,2,16,2,3,5,14,1,8,1,10,1,8,4,18,2,8,4,18,3,14,9,15,2,14,13,3,2,16,6,17,2,16,3,17,4,6,1,14,3,17,2,16,4,17,1,16,4,17,1,16,2,17,6,14,3,17,1,16,4,17,1,14,5,15,2,14,5,3,1,14,39,15,6,14,11,15,8,18,1,8,10,15,2,14,2,7,5,8,7,7,1,8,6,7,5,8,11,10,2,8,7,18,5,10,2,4,502,18,1,3,7,8,1,10,8,8,1,18,1,14,1,18,1,8,9,7,1,8,10,7,1,8,6,18,2,8,3,10,3,8,4,10,4,8,5,10,4,8,4,10,1,8,8,7,3,8,3,10,1,4,3,19,6,4,57,19,6,4,799,},
{4,858,19,1,4,2,3,1,16,5,3,1,18,3,3,1,16,6,14,1,8,1,15,1,14,1,16,12,14,4,15,6,8,5,15,1,14,2,15,2,14,4,3,1,16,4,3,2,4,1,19,3,4,52,18,2,14,1,17,2,6,2,17,6,14,2,6,1,17,3,6,2,17,1,16,2,17,1,14,2,7,1,8,2,7,2,14,2,7,1,8,20,10,7,8,5,10,27,8,10,10,1,8,4,18,2,15,3,18,2,8,12,15,1,14,4,15,1,8,5,15,1,14,10,15,5,14,2,15,3,14,22,16,15,14,5,16,8,14,7,16,6,17,1,16,3,17,1,14,2,17,1,16,6,17,1,16,3,14,4,6,1,16,6,17,1,16,13,14,6,17,1,16,7,17,1,15,1,8,4,14,1,16,5,17,1,7,2,17,1,16,6,14,9,3,6,16,1,3,1,14,1,18,1,10,3,8,3,18,2,8,5,18,2,15,1,14,8,15,2,14,13,3,1,16,7,17,1,16,4,17,10,16,3,17,2,16,7,17,1,16,4,17,2,14,2,17,1,16,4,17,1,14,53,15,2,8,3,15,2,14,9,15,9,18,1,8,11,15,3,7,3,8,10,10,3,8,2,14,2,7,3,8,11,10,3,8,1,10,2,8,4,18,1,4,7,19,2,4,499,18,1,3,6,18,1,10,8,18,1,14,2,18,1,8,19,7,2,8,6,18,1,15,2,8,3,10,2,8,4,10,3,8,3,10,12,8,9,7,1,8,6,18,1,4,2,19,5,4,58,19,4,4,800,},
{4,858,19,2,4,2,3,1,16,3,3,1,18,1,4,3,18,1,3,1,16,3,3,1,14,1,18,2,14,1,16,14,14,4,15,6,8,4,15,1,14,2,15,2,14,5,3,1,16,3,3,2,4,1,19,3,4,53,18,1,14,1,3,1,17,1,14,1,6,1,17,6,14,2,17,4,14,2,17,2,16,1,17,1,14,2,7,3,14,7,7,1,18,1,8,16,10,6,8,5,10,14,8,2,10,11,8,5,10,1,8,2,18,1,8,2,10,1,8,5,18,5,8,13,15,2,14,1,15,3,8,5,15,1,14,11,15,4,14,25,17,1,16,16,17,1,14,5,17,1,16,9,14,5,17,2,16,8,17,2,16,11,17,1,14,3,17,1,16,19,14,6,15,1,14,1,16,8,14,1,15,1,8,3,7,1,16,5,14,1,7,2,6,1,16,7,17,1,14,12,3,1,16,1,3,1,14,1,8,1,10,3,8,3,18,2,8,6,18,1,15,1,14,23,16,3,17,2,16,10,17,8,16,2,17,3,16,13,17,2,14,1,17,1,16,3,17,2,14,1,3,2,14,51,15,1,8,3,15,2,14,9,15,6,14,1,15,2,18,1,8,13,15,1,7,4,8,9,10,3,8,2,14,2,7,1,8,1,7,1,8,4,7,2,8,4,10,11,4,7,19,3,4,500,18,1,3,5,18,1,10,2,9,1,18,1,10,3,8,1,14,1,3,1,14,2,8,19,7,2,8,7,15,1,14,2,15,1,8,2,10,3,8,2,10,2,8,4,10,11,8,17,18,2,4,1,19,5,4,59,19,1,4,1,19,3,4,1,19,5,4,792,},
{4,859,19,3,18,1,3,1,16,1,3,1,4,6,18,1,3,4,18,1,9,1,14,1,3,1,16,5,3,1,16,8,17,1,14,3,15,7,18,1,8,1,15,2,14,2,15,2,14,5,3,1,16,2,3,2,18,1,4,1,19,3,4,53,18,1,3,2,16,1,3,1,14,1,17,11,14,3,17,2,16,1,17,1,14,13,7,1,8,15,10,7,8,4,10,14,8,4,10,10,8,4,10,2,8,2,18,1,8,2,10,1,8,24,15,4,8,6,15,1,14,40,16,6,17,2,16,10,14,6,16,9,14,7,17,1,16,23,17,1,16,19,17,1,7,2,17,1,16,2,14,1,15,1,14,1,16,9,14,1,8,1,10,2,15,1,16,5,14,1,7,2,14,1,16,8,14,12,3,3,14,1,8,1,10,3,8,3,18,2,8,6,18,1,15,1,14,23,16,3,17,2,16,10,17,3,16,1,17,6,14,3,17,1,16,11,17,2,14,2,17,2,16,2,17,2,14,1,17,1,16,4,14,11,3,2,14,36,15,4,14,11,15,2,14,5,15,2,18,1,8,11,15,2,7,4,8,10,10,1,8,10,7,1,18,5,8,2,10,11,4,4,19,6,4,500,18,2,3,4,18,1,10,1,8,1,18,3,10,1,8,1,18,1,3,2,14,2,18,1,8,2,15,2,8,3,7,1,8,19,15,1,14,3,8,2,10,4,8,6,10,6,8,23,18,2,4,2,19,5,4,54,19,17,4,3,19,2,4,785,},
{4,858,19,4,4,2,18,2,4,9,18,1,4,1,18,2,3,1,16,16,17,1,14,3,15,6,18,2,15,3,14,1,15,1,14,6,3,3,14,1,18,1,4,3,19,2,4,54,18,1,3,1,16,4,17,1,14,1,17,8,14,3,17,4,14,13,15,1,18,1,8,14,10,7,8,4,10,14,8,4,10,6,8,2,10,2,8,4,10,1,8,2,18,2,8,5,10,3,8,19,15,4,8,6,15,1,14,39,17,1,16,5,17,3,16,11,14,5,16,9,17,1,14,7,17,1,16,42,17,1,14,2,17,1,16,3,14,2,16,9,14,1,8,1,10,1,9,1,15,1,16,5,14,3,17,1,16,9,17,3,14,5,15,3,14,1,3,2,14,1,8,1,10,3,8,3,18,2,8,6,18,1,15,2,14,22,17,1,16,2,17,3,16,9,17,2,16,3,17,2,14,1,17,1,14,4,17,1,16,3,17,3,16,5,17,1,14,3,17,1,16,4,17,3,16,5,14,11,3,1,14,7,17,1,16,2,17,1,14,32,15,3,14,12,15,2,18,1,8,11,15,2,7,4,8,22,18,5,8,2,10,8,4,7,19,5,4,501,10,1,18,1,3,4,18,1,10,1,8,1,18,3,10,1,8,1,18,1,14,4,18,1,15,2,7,7,8,18,15,1,14,3,15,1,8,2,10,3,8,6,10,2,8,28,18,2,4,1,19,5,4,52,19,26,4,783,},
{4,858,19,5,4,10,19,2,4,4,3,1,16,17,14,3,15,6,18,1,8,2,15,3,14,7,17,1,3,2,15,1,10,1,4,56,19,2,4,1,18,1,3,1,16,5,17,10,14,2,17,3,14,14,18,1,8,16,10,7,8,2,10,24,8,3,10,2,8,4,10,1,8,2,18,2,8,2,10,1,8,2,10,3,8,19,15,4,8,6,15,2,14,39,16,5,14,1,17,1,16,6,17,2,16,5,14,5,16,9,17,1,14,7,16,27,17,2,16,14,17,1,14,1,17,1,16,3,17,2,16,9,14,1,15,1,8,2,15,1,16,5,14,2,17,1,16,12,14,5,15,2,8,2,14,2,3,1,14,1,8,1,10,3,8,11,18,1,15,2,14,23,3,1,17,4,16,14,17,2,14,1,17,1,14,5,17,1,16,1,17,1,14,2,17,1,16,4,17,1,14,3,17,1,16,14,14,17,17,1,16,4,17,1,14,32,15,1,14,13,15,2,18,1,8,1,18,1,8,7,15,2,7,7,8,13,10,2,8,7,18,4,8,2,10,5,4,10,19,5,4,500,18,1,9,1,10,1,18,1,3,3,18,1,10,1,8,1,18,1,10,3,18,2,14,1,18,4,15,1,14,1,7,8,8,17,18,1,14,4,8,4,10,1,8,5,10,1,8,29,18,2,8,1,4,2,19,4,4,52,19,26,4,783,},
{4,858,19,6,4,8,19,5,4,2,18,1,3,1,16,16,14,3,15,6,18,1,8,4,15,2,14,1,15,3,14,3,3,2,15,1,10,1,4,56,19,2,4,2,3,2,16,5,17,4,16,1,17,3,14,3,17,3,14,7,7,1,15,3,14,3,18,2,8,15,10,6,8,3,10,12,8,1,10,10,8,3,9,1,10,2,8,6,18,1,15,1,18,1,8,1,10,2,8,3,10,1,8,6,18,3,8,10,15,5,8,4,10,1,8,2,15,2,14,38,17,1,16,3,17,1,14,1,17,1,16,6,14,1,17,1,16,5,17,1,14,1,15,1,14,2,16,11,14,6,16,10,14,4,17,1,16,45,14,2,15,1,8,1,15,1,17,1,16,3,17,3,16,13,17,1,14,2,15,5,8,1,15,1,14,1,3,1,14,1,8,1,10,5,8,8,18,1,15,3,14,24,17,1,16,2,17,1,16,14,17,5,14,4,17,2,14,3,17,1,16,3,17,2,14,3,17,1,16,7,17,1,14,1,17,1,16,4,14,16,3,1,17,1,16,4,17,1,3,1,14,45,15,2,18,2,15,2,8,2,15,4,7,14,8,17,18,4,8,3,10,4,4,10,19,5,4,501,9,1,10,1,18,4,10,2,8,2,10,2,8,1,18,2,8,3,18,2,15,1,7,9,8,18,14,4,15,1,8,5,15,2,8,2,10,1,8,3,7,1,18,1,8,5,18,1,8,6,10,3,8,9,18,2,8,1,10,1,4,1,19,4,4,52,19,27,4,11,19,3,4,768,},
{4,872,19,5,4,3,18,1,3,1,16,15,14,3,15,5,8,6,15,3,14,1,15,3,14,2,3,3,18,1,4,4,19,3,4,49,19,4,4,1,3,4,16,3,14,2,17,1,16,2,17,1,14,10,17,2,14,3,15,1,14,6,15,1,18,1,8,14,10,6,8,3,10,11,8,2,10,10,8,4,10,2,8,2,10,1,8,2,18,1,15,2,8,2,10,3,8,8,18,1,15,3,18,1,8,9,15,2,14,2,15,2,8,6,15,5,14,36,17,1,16,2,17,1,14,1,17,1,16,4,17,3,16,7,14,4,16,4,14,3,16,5,14,5,17,1,16,8,14,6,16,43,17,1,16,1,17,1,14,2,15,2,14,1,16,3,17,2,16,2,17,3,16,9,17,1,14,2,15,7,14,3,8,1,10,6,8,1,18,2,8,3,18,2,15,2,14,17,3,1,14,7,16,17,17,4,16,3,17,1,14,1,17,3,14,2,17,1,16,4,17,2,14,2,17,1,16,8,14,4,16,2,17,1,14,16,3,1,17,1,16,4,3,1,14,46,15,2,18,1,15,3,7,1,15,3,7,2,15,1,7,1,15,1,7,5,8,1,7,5,8,16,18,10,10,2,4,516,8,1,10,2,18,2,10,2,8,3,10,1,8,2,18,1,8,10,7,6,8,18,18,1,15,6,8,3,14,2,8,5,7,3,8,11,10,4,8,9,18,2,8,1,18,1,4,1,19,5,4,51,19,27,4,9,19,2,3,2,19,2,4,5,19,3,4,759,},
{4,872,19,6,4,3,18,1,3,1,16,14,14,3,15,3,18,1,8,3,9,1,8,4,15,2,14,2,15,3,14,1,3,1,16,2,3,1,18,1,4,2,19,5,4,48,19,4,4,2,18,1,3,4,16,1,3,1,17,1,16,4,17,1,14,1,17,4,14,4,17,2,14,11,15,1,18,1,8,13,10,3,8,6,10,2,8,2,10,6,8,2,10,11,8,5,10,1,8,1,10,2,8,1,18,2,14,1,15,1,8,1,10,4,8,1,18,3,8,5,18,1,15,3,18,1,8,7,15,2,14,4,15,2,8,6,15,5,14,6,15,2,14,28,17,1,16,2,17,1,16,3,14,3,17,1,16,8,14,4,17,1,16,2,17,1,14,3,16,6,17,1,14,2,17,1,16,8,14,11,17,1,16,38,14,1,16,2,14,2,15,2,14,2,16,6,17,1,14,2,17,1,16,9,14,2,15,3,14,6,15,1,8,1,10,5,8,1,18,3,8,2,15,2,14,24,17,4,16,17,17,3,16,5,17,2,16,1,17,1,14,1,17,1,16,5,17,2,14,2,17,1,16,8,14,23,3,1,14,1,17,3,14,42,15,2,14,5,15,5,7,1,15,9,7,10,8,6,7,2,14,1,7,1,8,2,18,2,8,3,18,1,8,1,18,7,4,518,10,6,8,6,18,2,8,14,7,2,8,21,15,2,14,2,7,1,8,9,18,1,15,1,18,1,8,13,10,2,8,9,18,2,8,1,18,1,4,1,19,5,4,50,19,29,4,7,19,1,3,5,19,1,4,5,19,3,4,759,},
{4,872,19,8,4,2,3,1,16,14,14,2,15,4,8,3,9,2,8,5,15,2,14,5,3,1,16,2,3,2,4,2,19,8,4,45,19,5,4,3,18,1,3,3,16,11,17,2,14,3,16,1,17,1,14,12,18,2,8,12,10,3,8,5,10,3,8,2,10,6,8,1,10,12,8,8,10,1,8,1,18,2,15,1,18,1,8,1,10,4,8,1,18,1,15,1,18,1,8,6,18,1,15,5,18,1,15,5,14,5,15,6,8,1,15,6,14,5,15,3,14,28,16,6,14,4,16,9,14,2,17,1,16,1,14,2,16,1,14,2,15,1,14,1,16,12,17,1,14,2,17,3,14,12,17,1,16,2,17,1,16,10,17,5,16,19,14,1,17,2,14,2,8,2,15,1,14,1,17,1,16,5,17,1,14,3,16,9,14,2,15,2,14,5,3,1,14,2,8,1,10,3,8,3,18,2,8,3,15,2,14,24,17,1,16,18,17,5,16,9,14,1,17,1,16,6,17,4,16,7,14,11,15,1,14,58,15,5,14,3,15,4,7,2,15,2,8,3,15,3,7,9,8,8,7,4,15,1,8,1,18,4,8,6,10,1,8,1,18,2,4,519,18,1,10,2,8,5,10,1,8,1,18,3,8,38,15,1,14,2,15,1,8,36,18,2,8,1,18,1,4,2,19,4,4,50,19,29,4,6,19,2,3,4,19,2,4,6,19,1,4,760,},
{4,872,19,9,4,1,3,1,16,13,17,1,14,2,15,4,18,1,8,2,9,2,8,2,15,2,8,1,15,2,14,5,16,3,3,2,18,1,4,1,19,9,4,45,19,6,4,2,18,2,3,1,14,1,16,11,17,1,14,2,17,1,16,1,17,1,14,6,3,1,14,6,18,2,8,10,10,2,8,3,18,2,8,2,10,3,8,3,10,4,8,2,10,4,8,3,10,4,8,9,10,1,8,1,18,3,8,1,10,3,8,1,10,1,8,2,18,1,8,8,18,1,15,10,14,6,15,13,14,3,15,5,14,8,17,1,16,2,3,1,14,15,16,5,17,1,14,3,17,1,16,8,17,1,14,2,16,2,14,5,15,1,14,1,16,12,17,1,14,3,17,2,14,12,16,3,17,2,16,8,17,1,14,5,17,1,16,18,14,5,8,2,15,1,14,1,17,1,16,6,17,3,14,4,16,5,17,1,14,6,3,3,14,2,18,1,8,6,18,2,8,2,18,1,15,1,14,11,3,1,14,12,17,1,16,8,17,4,16,7,17,1,14,1,17,3,16,9,14,1,17,1,16,2,17,2,16,4,17,3,16,5,17,1,14,10,15,3,14,56,15,6,14,3,15,3,14,1,7,3,15,1,8,5,15,1,7,5,14,2,7,1,8,8,7,2,8,6,18,2,8,5,10,5,4,521,10,1,8,6,10,1,8,2,18,2,8,3,18,1,7,1,15,1,8,16,10,1,8,11,10,2,8,2,18,1,14,2,15,1,8,1,10,4,8,34,18,1,4,3,19,3,4,50,19,29,4,5,19,2,3,3,19,2,4,769,},
{4,874,19,7,4,1,3,1,16,13,17,1,14,3,15,3,18,2,8,1,9,2,8,2,15,6,14,3,16,2,3,4,18,1,4,2,19,2,4,2,19,4,4,48,19,4,4,3,18,1,14,1,16,12,14,1,16,3,17,1,14,5,3,2,14,6,15,1,18,2,8,8,10,3,8,3,18,2,8,2,10,3,8,3,10,4,8,1,10,4,8,19,18,2,8,2,10,2,8,3,10,1,8,11,18,1,15,2,14,2,15,5,14,7,15,6,14,3,15,2,14,5,15,4,14,8,17,1,16,4,14,14,17,1,16,5,17,1,14,1,17,1,16,7,17,2,14,3,16,3,14,6,16,13,14,2,17,1,16,2,14,12,16,3,17,3,16,6,17,1,6,1,7,4,14,2,16,18,14,2,15,1,14,1,15,3,14,2,16,10,14,5,16,5,14,6,3,3,14,3,18,4,8,2,18,2,8,2,18,1,14,10,3,5,14,1,3,2,14,5,17,3,16,9,14,3,17,1,16,5,17,1,14,2,17,3,16,9,14,2,16,2,17,2,16,6,17,2,16,1,17,4,14,10,15,2,14,3,3,1,14,41,3,1,14,11,15,5,14,5,15,2,14,1,15,4,8,4,15,3,7,4,14,2,7,1,8,6,7,3,8,13,10,6,4,521,10,1,8,5,10,2,8,7,18,1,7,2,8,16,10,2,8,10,10,3,8,2,15,2,8,2,10,4,8,8,18,1,8,25,18,1,4,56,19,31,4,3,19,1,3,2,19,2,4,16,19,1,4,754,},
{4,874,19,7,4,1,18,1,3,1,16,12,17,1,14,4,15,3,18,2,8,3,18,1,15,7,14,1,16,2,14,5,3,1,18,1,4,1,19,1,4,3,19,3,4,49,19,7,4,1,18,1,14,2,3,2,14,2,3,1,16,4,17,2,16,4,14,4,3,2,17,1,3,1,14,7,7,1,8,4,10,7,8,3,14,2,8,2,10,5,8,5,10,6,8,13,10,1,8,4,18,1,8,1,10,3,8,1,15,2,8,1,10,2,8,12,18,1,15,7,14,6,15,4,14,13,15,4,14,9,16,4,17,1,14,4,3,1,14,9,16,15,17,1,14,4,16,3,17,1,14,5,16,18,17,1,14,11,16,4,17,2,16,6,17,1,6,1,7,5,14,1,17,1,16,18,14,1,15,3,14,3,16,12,14,5,17,1,16,3,17,1,14,5,3,2,14,5,18,2,8,3,18,2,8,2,18,1,14,9,3,6,16,20,14,4,17,1,16,5,17,2,16,2,17,1,16,8,3,1,14,3,3,1,17,2,16,6,17,5,14,34,15,3,14,22,3,1,14,11,15,4,14,6,15,10,7,1,15,2,7,3,8,1,7,4,8,5,7,4,8,12,10,3,8,1,10,1,8,1,9,1,4,522,10,1,9,1,8,3,10,1,8,9,18,1,7,3,8,13,10,2,8,16,15,2,8,2,10,4,8,34,18,2,4,55,19,34,3,2,19,2,4,17,19,5,4,750,},
{4,874,19,7,4,2,3,1,16,12,17,1,14,6,15,1,18,2,8,3,18,1,15,1,14,3,15,3,14,1,17,1,16,1,14,5,3,1,18,1,4,3,18,1,4,1,19,4,4,48,19,7,4,1,10,1,8,1,18,2,14,5,16,2,17,1,14,1,17,1,16,4,17,1,14,3,3,2,17,1,14,9,8,3,10,8,8,2,18,1,14,2,8,3,10,5,8,3,10,12,8,7,10,3,8,5,10,3,8,1,14,2,18,1,8,1,10,2,8,8,10,1,8,4,18,1,15,5,14,6,15,5,14,12,15,4,14,10,16,3,14,15,17,1,16,14,17,1,14,4,16,5,14,3,16,7,14,4,16,9,14,6,15,2,14,3,16,5,17,2,16,6,17,1,6,1,14,2,7,2,14,1,17,1,16,18,17,1,15,3,14,1,16,5,17,2,16,9,17,1,14,6,17,1,14,5,3,2,14,5,18,1,8,1,10,3,18,5,14,3,3,2,14,4,3,2,16,18,17,3,16,3,14,5,17,1,14,2,16,6,17,2,16,2,17,3,16,3,14,5,16,8,17,6,14,32,15,3,14,35,15,2,14,6,15,1,18,2,15,2,7,1,15,5,7,2,15,1,7,1,8,4,7,2,8,14,10,3,8,2,18,2,10,5,18,2,4,524,18,1,10,1,8,2,10,1,8,10,7,4,8,19,18,1,15,1,8,8,15,3,8,1,10,5,8,35,18,3,4,53,19,31,3,4,19,3,4,18,19,1,3,4,19,1,4,748,},
{4,875,19,5,4,3,18,1,3,2,16,11,14,7,15,4,18,1,15,2,14,4,15,2,14,2,17,1,14,6,18,1,4,3,18,2,4,1,19,2,4,49,19,7,4,5,18,4,14,3,17,3,16,4,17,2,14,2,17,2,3,1,14,9,8,3,10,8,8,2,18,1,14,2,18,1,8,1,10,6,8,3,10,12,8,6,10,5,8,1,10,6,8,1,15,1,14,1,18,1,8,19,18,2,15,12,14,12,15,5,14,9,17,1,16,1,14,12,15,1,14,4,16,14,17,1,14,4,16,5,14,2,17,1,16,7,14,4,17,1,16,8,14,11,17,1,16,14,17,1,14,2,7,1,14,1,17,1,16,19,14,2,17,1,16,5,17,1,14,2,17,1,16,10,17,1,14,14,3,2,14,1,18,1,8,1,10,3,8,1,18,4,14,4,3,2,14,3,3,2,16,17,17,2,14,2,17,1,16,2,14,8,17,1,16,9,17,4,16,1,17,1,14,5,16,8,17,2,14,1,17,2,16,3,14,31,15,2,14,44,15,2,7,4,15,6,14,1,15,3,8,2,7,1,8,15,10,4,4,536,10,2,18,4,8,7,7,4,8,19,15,2,18,1,8,12,10,4,8,35,18,3,4,49,19,34,3,5,19,3,4,15,19,1,4,1,19,2,3,4,18,1,4,748,},
{4,882,19,1,4,2,3,2,16,10,17,1,14,7,15,5,14,6,15,2,14,7,15,1,10,3,9,1,18,2,4,55,19,4,4,9,18,1,14,1,3,1,16,8,17,2,14,1,17,1,14,7,7,1,14,2,18,2,8,5,10,4,8,3,18,1,14,2,8,2,10,5,8,3,10,10,8,2,10,3,8,3,10,2,8,2,10,9,8,30,15,6,14,13,15,8,14,6,17,2,14,12,15,2,14,3,17,1,16,13,17,1,14,4,16,4,17,1,14,2,17,1,16,9,17,1,14,1,17,2,16,7,17,1,14,12,16,14,14,1,7,2,14,1,17,1,16,27,17,1,14,4,17,1,16,9,17,1,14,6,3,3,14,4,3,3,14,1,8,1,10,4,8,3,18,1,15,1,14,3,3,3,14,3,3,1,16,16,17,4,14,1,17,1,16,2,17,1,14,8,17,2,16,8,17,3,16,1,17,1,14,5,17,1,16,7,14,3,17,1,16,4,14,79,7,6,15,2,14,6,15,1,7,3,8,10,18,6,4,539,18,2,3,1,14,1,7,3,8,2,7,5,8,5,18,2,8,14,7,1,15,1,18,1,8,13,10,2,8,14,18,3,8,18,18,4,4,49,19,17,3,4,19,12,18,1,3,4,18,5,4,12,19,7,18,5,10,3,4,744,},
{4,882,19,2,4,2,3,2,16,10,17,1,14,8,15,2,14,7,15,2,14,2,3,1,14,4,15,1,10,4,18,3,4,67,18,2,3,1,16,5,17,4,16,1,17,2,14,10,18,2,8,6,10,2,8,5,14,2,8,2,10,4,8,3,10,11,8,2,10,3,8,3,10,2,8,3,10,7,8,32,15,3,14,9,15,3,14,3,15,6,8,1,15,1,14,12,15,2,14,12,16,13,17,1,14,3,17,1,16,4,17,1,14,2,17,1,16,10,17,1,14,2,17,2,16,5,17,1,14,12,16,14,17,1,14,3,17,1,16,27,6,1,17,1,16,2,17,1,14,1,17,1,16,9,17,1,14,2,15,2,14,1,3,1,16,2,3,1,14,2,3,4,14,1,8,1,10,5,8,3,15,1,14,4,3,2,14,3,16,5,14,1,17,1,16,2,17,1,16,7,17,4,14,1,17,1,16,2,17,1,14,10,16,8,14,1,17,4,14,6,17,1,16,6,14,4,16,3,17,1,14,73,15,2,14,4,7,5,15,3,14,8,7,2,8,10,18,5,4,540,18,3,14,1,7,9,8,5,18,4,8,14,18,1,8,26,18,1,8,3,18,3,10,3,8,17,18,2,4,1,18,2,4,46,19,16,3,6,19,9,18,12,4,12,19,7,18,1,10,3,8,3,10,4,4,741,},
{4,882,19,4,4,1,3,2,16,10,6,1,14,13,15,1,14,2,15,2,14,7,15,1,9,1,10,3,18,1,3,2,18,1,4,60,19,5,4,2,18,1,3,1,16,2,17,1,16,1,17,1,14,2,17,1,16,3,17,2,14,9,18,2,8,13,18,1,14,1,18,1,8,9,10,10,8,1,10,5,8,2,10,2,8,5,10,5,8,6,10,2,8,13,18,4,8,6,15,4,14,5,3,1,14,3,15,3,14,3,15,8,14,12,15,2,14,11,17,1,16,14,14,2,17,1,16,5,17,4,16,9,17,1,14,5,17,1,16,4,14,13,16,15,14,4,17,1,16,25,17,2,16,16,17,1,14,4,3,1,16,2,3,1,14,2,3,5,18,1,10,6,8,2,15,2,14,3,3,2,14,2,3,1,16,4,17,1,14,2,16,2,17,1,16,11,17,1,14,1,16,2,17,1,14,9,17,1,16,7,17,1,14,1,17,8,14,2,17,1,16,6,14,4,17,1,16,1,17,1,14,75,15,1,14,4,7,5,15,3,14,8,7,3,8,10,18,3,4,543,18,2,7,5,8,9,18,5,8,44,18,2,10,5,8,17,18,5,10,1,4,45,19,16,3,5,19,9,18,12,4,12,19,5,3,1,18,5,8,4,10,3,4,741,},
{4,882,19,4,4,2,3,1,16,11,17,1,14,12,15,1,14,1,15,3,14,7,15,1,8,1,10,3,9,1,14,1,3,3,4,59,19,6,4,1,18,1,3,1,16,4,17,1,14,2,17,2,16,3,17,1,14,9,18,2,8,2,18,2,8,21,10,20,8,5,10,5,8,5,10,4,8,12,18,5,15,11,14,3,3,1,14,3,15,4,14,2,15,7,14,20,3,1,17,5,16,4,17,2,16,9,17,2,16,19,14,7,17,1,16,3,14,12,17,1,16,3,17,1,16,12,14,4,17,1,16,24,17,2,16,17,14,5,16,1,3,2,14,2,3,5,15,1,8,1,10,6,8,1,18,1,15,3,14,5,3,1,16,1,3,1,14,5,17,3,16,11,17,1,14,1,17,1,16,1,17,1,14,8,17,1,16,8,17,1,14,1,17,3,16,1,17,4,14,2,17,1,16,6,17,1,14,22,17,4,14,60,7,5,15,3,14,8,7,2,8,11,18,2,4,545,18,1,7,4,8,10,18,5,8,44,18,2,10,6,8,18,18,2,10,2,4,42,19,2,4,1,19,12,4,4,18,1,3,4,19,8,18,5,4,3,18,5,4,12,19,5,3,3,18,5,8,3,10,2,18,1,4,740,},
{4,882,19,6,18,1,16,12,17,1,14,9,15,7,14,8,15,1,9,1,10,3,15,1,3,4,4,58,19,6,4,1,18,1,3,1,16,4,17,5,16,3,17,3,14,8,18,6,8,16,10,2,8,2,10,5,8,1,10,14,8,2,10,8,8,4,10,5,8,14,18,1,8,2,15,12,14,6,15,5,14,1,15,6,14,18,17,1,16,11,17,1,14,2,17,2,16,27,17,1,14,7,17,1,16,3,14,11,17,1,16,3,17,2,16,12,17,1,14,4,16,24,17,1,6,1,16,17,17,3,14,3,3,1,14,5,3,2,14,2,8,1,10,5,8,4,15,3,14,4,3,3,14,8,16,12,14,1,17,1,16,1,17,1,14,8,17,1,16,8,17,1,14,1,17,2,16,5,17,1,14,2,17,1,16,6,17,1,14,22,17,5,14,55,15,2,14,2,7,6,14,2,15,1,14,6,7,1,8,10,18,5,4,545,18,1,7,1,14,2,7,1,8,10,15,1,18,3,8,29,18,1,8,14,18,3,10,7,8,19,10,2,4,42,19,14,4,3,8,1,4,1,18,2,3,4,19,4,18,3,4,2,18,4,4,3,18,5,19,2,4,9,19,5,3,6,14,1,18,1,8,5,18,1,4,740,},
{4,883,19,5,4,1,3,2,16,11,17,1,14,7,15,8,14,1,15,4,14,4,15,1,10,3,9,1,15,1,3,4,4,57,19,6,4,2,3,1,16,4,17,1,16,3,17,3,16,4,17,2,14,2,7,2,14,1,18,2,8,1,18,3,8,9,10,1,8,6,10,3,8,2,10,5,8,2,10,12,8,2,10,9,8,2,10,7,8,17,15,12,14,6,15,4,14,2,15,1,14,21,3,1,16,13,17,1,14,3,17,3,16,24,17,1,14,9,17,3,14,3,17,1,16,3,17,5,16,2,17,2,14,1,17,1,16,11,17,1,14,4,16,25,17,2,16,20,14,6,15,2,14,4,15,1,8,1,10,4,8,6,15,2,14,3,3,2,14,5,17,2,14,2,17,1,16,11,17,3,14,9,17,1,16,7,17,5,16,5,17,1,14,2,17,1,16,6,17,2,14,9,17,1,14,5,17,2,14,4,17,5,14,55,15,3,14,1,7,5,14,4,15,3,14,3,7,1,8,6,10,2,8,1,18,6,4,545,18,1,15,1,14,3,7,1,8,10,18,3,8,27,18,1,15,1,18,1,8,14,18,3,4,1,10,6,8,15,10,1,8,4,10,1,4,41,19,15,4,2,8,3,10,1,18,5,19,3,4,16,18,1,19,1,3,1,19,3,4,7,19,6,3,6,18,1,8,5,18,1,4,740,},
{4,889,18,1,3,1,16,13,17,1,14,5,15,15,14,3,9,1,10,3,9,1,3,4,18,1,4,56,19,6,4,2,3,1,16,9,17,1,16,6,17,1,14,1,7,2,8,1,15,1,18,1,8,14,10,3,8,3,10,3,8,3,10,5,8,3,10,11,8,2,10,8,8,2,10,8,8,17,15,8,8,3,18,1,15,1,14,5,15,3,14,24,17,1,16,15,14,4,17,1,16,25,14,6,17,2,14,7,17,1,16,5,17,2,14,1,17,4,14,3,17,1,16,10,17,1,14,4,16,25,17,1,14,1,17,1,16,19,17,1,14,4,15,1,8,2,15,1,14,1,3,2,14,1,8,1,10,4,8,1,10,2,8,4,15,2,14,9,17,2,14,3,17,1,16,11,17,1,14,10,17,1,16,4,17,4,16,7,17,2,14,2,17,2,16,7,17,1,14,7,17,2,16,1,17,2,14,3,17,2,14,5,17,3,14,57,15,2,14,1,7,4,14,5,15,2,18,1,15,1,14,2,7,1,8,2,7,2,8,2,10,2,8,1,18,5,4,546,18,2,14,3,7,1,8,10,18,2,8,27,18,1,14,2,18,1,8,14,18,1,4,7,10,7,8,8,10,3,8,1,18,4,4,42,19,14,4,2,8,3,10,1,18,4,4,1,19,1,4,18,19,1,3,3,19,2,4,7,19,7,3,5,18,1,8,5,18,1,4,740,},
{4,891,3,1,16,14,14,4,15,10,8,1,15,4,14,3,15,1,10,4,14,1,3,3,18,1,4,57,19,5,4,2,3,1,16,3,17,2,16,10,17,1,14,2,7,1,8,2,15,1,18,1,8,6,10,4,8,4,10,9,8,3,10,6,8,1,10,12,8,2,10,6,8,4,10,4,8,3,10,4,8,11,15,2,18,1,15,8,8,4,15,2,14,4,15,3,14,26,16,16,17,2,16,26,14,6,17,2,14,7,16,7,17,4,16,2,17,1,14,3,6,1,16,9,14,5,16,5,17,1,16,20,17,1,14,1,17,1,16,19,14,4,15,1,8,2,15,1,14,1,3,3,14,1,8,1,10,2,8,3,9,4,8,3,15,3,14,1,15,1,14,4,17,7,16,11,14,11,17,1,16,3,17,4,16,7,17,1,14,2,17,1,16,9,17,1,14,7,17,1,16,3,17,1,14,3,17,2,14,21,3,1,14,43,15,2,14,1,7,4,14,5,18,3,15,1,7,1,14,1,7,1,8,2,7,3,8,1,10,2,8,1,18,3,4,549,18,1,14,1,3,1,14,2,8,39,18,1,14,2,18,1,8,8,18,3,8,3,4,2,19,4,4,3,10,6,8,6,10,5,8,2,18,4,4,41,19,1,3,3,19,9,4,4,10,3,18,4,4,21,19,1,3,2,19,2,4,5,19,1,4,1,19,7,18,1,3,4,14,1,18,1,8,1,10,2,8,1,18,1,4,740,},
{4,886,19,3,4,3,3,1,16,14,14,4,15,3,8,1,15,10,14,3,15,1,10,3,9,1,14,1,16,2,3,1,18,1,4,58,19,5,4,1,18,1,3,1,16,2,17,4,16,7,17,1,14,2,7,2,8,2,15,1,18,1,8,5,10,5,8,4,10,8,8,2,10,22,8,1,10,6,8,4,10,4,8,2,10,7,8,9,15,11,18,1,8,3,15,2,14,3,15,4,14,28,3,1,17,1,16,40,17,1,14,5,17,2,14,7,16,8,17,3,16,4,14,1,7,1,14,1,16,8,17,1,14,5,16,4,17,2,16,21,17,1,16,21,14,3,15,4,14,1,3,1,16,1,3,1,14,1,15,1,8,8,9,3,8,4,15,3,14,3,17,2,16,16,14,12,17,1,16,3,17,3,16,6,17,2,14,2,17,1,16,3,17,9,14,4,17,2,16,3,17,1,14,3,17,1,14,66,15,3,14,1,7,4,14,2,7,2,15,1,8,3,7,3,8,2,7,1,14,1,18,1,8,3,18,3,4,550,18,1,3,3,14,1,8,7,10,1,8,32,15,1,14,1,8,8,18,4,8,3,4,1,19,6,4,2,10,6,8,6,10,5,8,4,18,2,4,42,19,1,3,3,19,6,4,6,10,3,18,3,4,22,19,2,3,1,19,3,4,5,19,9,3,5,18,1,8,1,10,2,8,1,18,1,4,740,},
{4,886,19,5,4,1,18,1,3,1,16,13,14,3,15,4,8,1,15,2,14,1,15,4,14,2,15,2,14,2,15,1,8,1,10,2,8,1,14,1,16,1,3,2,4,59,19,5,4,1,18,1,3,1,16,2,17,1,14,1,17,3,16,5,17,1,14,3,7,2,8,2,15,1,18,1,8,6,10,4,8,5,10,6,8,1,10,31,8,1,18,1,8,2,10,4,8,1,10,9,8,7,15,14,8,1,15,2,14,4,15,2,8,1,15,3,14,31,17,1,16,37,17,1,14,8,17,1,16,2,17,1,16,16,17,1,7,2,14,1,16,7,14,6,16,3,17,4,16,20,17,2,16,21,14,8,3,3,14,2,15,2,8,2,18,3,8,2,9,2,8,5,15,1,14,3,17,2,16,17,17,1,14,5,15,2,14,3,17,1,16,4,17,2,16,5,17,3,14,2,16,3,17,11,14,4,17,2,16,1,17,2,14,69,15,4,7,9,8,4,7,2,14,2,7,1,14,1,7,1,8,3,18,3,4,552,18,2,3,1,18,2,8,2,10,7,8,4,10,1,8,25,18,2,8,8,18,3,8,2,10,2,4,1,19,6,4,2,10,5,8,4,10,8,8,4,18,3,4,41,19,2,3,6,19,2,4,2,18,9,4,24,19,5,4,5,19,9,3,6,18,1,8,1,10,1,18,2,4,740,},
{4,886,19,5,4,2,18,1,3,1,16,12,14,2,15,5,8,1,15,1,14,2,15,3,14,3,15,2,14,3,15,1,8,2,14,1,3,1,16,1,3,2,4,59,19,5,4,1,18,1,3,2,16,1,17,6,16,3,17,3,14,2,7,4,14,1,18,2,8,6,10,3,8,2,10,7,8,3,10,14,8,1,10,16,8,3,10,16,8,4,18,1,15,14,8,2,15,2,14,3,15,2,8,3,15,2,14,31,17,1,16,10,17,3,16,24,17,1,14,7,16,22,7,2,14,1,16,7,17,1,14,5,16,2,17,2,14,2,17,1,16,19,17,1,14,2,16,21,3,1,14,9,3,3,14,2,15,2,14,3,15,2,8,4,9,1,10,1,8,1,15,1,14,2,17,1,16,1,17,1,16,18,17,2,14,2,15,3,14,3,16,6,17,4,16,3,17,2,14,1,17,1,16,3,17,2,14,2,17,7,14,5,17,3,14,69,15,3,18,1,15,1,7,9,18,1,8,2,7,3,14,3,7,1,8,2,10,2,18,1,4,551,19,1,4,3,18,4,8,2,10,7,8,3,10,3,8,35,18,1,8,2,10,3,4,1,19,7,4,2,10,4,8,3,10,9,8,5,18,2,4,42,19,2,3,6,19,1,4,2,18,6,4,28,19,5,4,5,19,8,3,6,18,1,8,1,10,1,18,2,4,740,},
{4,886,19,5,4,3,3,1,16,11,14,3,15,3,8,1,15,3,14,8,15,3,14,3,15,1,14,2,3,4,18,1,4,59,19,4,4,1,18,1,3,2,16,1,17,13,14,2,7,3,15,1,18,1,8,7,10,10,8,4,10,44,8,5,10,2,8,3,18,1,15,3,18,1,15,4,18,2,15,3,8,4,15,2,14,3,15,1,8,5,15,2,14,31,17,2,16,8,14,3,17,3,16,22,17,1,14,5,17,1,16,22,14,1,7,2,16,8,17,3,14,1,17,1,16,3,17,1,14,2,17,3,16,16,17,1,14,5,16,4,17,1,16,15,3,3,14,7,3,3,14,8,15,1,8,1,15,1,8,1,9,1,10,1,8,1,15,1,14,1,3,1,16,8,17,1,16,14,17,1,14,1,15,3,14,3,16,6,17,4,16,4,17,3,16,2,17,2,14,3,17,8,14,75,15,4,14,2,7,3,8,3,7,9,14,3,8,2,10,2,4,552,19,3,4,3,18,3,8,1,10,8,8,3,10,3,8,30,10,1,8,7,10,3,4,1,19,8,4,2,10,4,8,1,10,9,8,2,10,3,8,1,18,2,4,44,19,2,3,5,18,3,3,2,18,2,4,6,19,2,4,23,19,3,4,5,19,8,3,6,18,1,8,1,10,1,18,2,4,740,},
{4,886,19,6,4,3,3,2,16,9,14,3,15,3,8,1,15,2,14,9,15,3,14,6,16,1,3,3,18,2,4,58,19,5,4,1,3,2,16,1,17,2,16,2,17,1,14,4,17,4,14,4,15,2,8,7,10,11,8,4,10,43,8,11,18,1,15,2,18,1,8,14,18,1,15,1,14,2,15,2,8,2,10,1,8,2,15,2,14,12,3,2,14,2,16,1,14,18,17,1,16,4,17,1,14,4,17,2,16,22,17,1,14,5,17,1,16,22,7,3,16,11,17,1,16,4,17,1,14,3,17,2,16,16,14,2,15,2,14,3,16,2,17,5,16,13,17,1,14,5,15,1,14,3,3,3,14,2,3,4,14,2,15,3,9,1,10,1,8,1,15,1,14,1,16,6,17,1,14,4,17,3,16,10,17,1,14,1,7,3,14,1,17,2,16,6,17,3,16,5,17,1,16,1,17,4,14,3,17,3,16,3,17,3,14,33,17,1,14,41,15,3,14,4,7,2,8,3,7,9,14,2,18,1,8,1,10,3,4,553,19,4,4,1,18,4,8,1,10,7,8,3,10,3,8,8,15,2,8,20,10,2,8,6,10,2,18,1,4,1,19,9,4,1,10,14,8,2,10,3,8,1,15,1,18,2,4,45,3,10,18,2,4,4,19,4,4,23,19,3,4,5,19,9,3,5,18,4,4,741,},
{4,887,19,1,4,2,19,1,4,5,18,1,3,1,16,7,3,1,14,3,15,5,14,10,15,3,14,1,15,2,14,2,16,2,3,5,18,1,4,58,19,4,4,1,18,1,3,1,16,1,3,1,17,1,16,1,17,2,14,6,17,3,14,4,15,1,8,7,10,11,8,2,10,44,8,12,18,4,8,14,18,1,15,1,14,2,15,2,8,5,15,2,14,6,3,1,14,9,16,2,17,1,3,4,14,15,16,2,14,6,17,1,16,8,17,2,16,6,17,1,14,1,17,1,16,4,17,1,14,2,17,2,16,12,17,2,16,9,14,1,7,2,16,11,14,1,16,5,17,1,14,3,17,3,16,14,14,2,15,3,14,2,16,2,14,5,16,8,17,4,14,12,3,1,16,1,3,5,16,1,3,1,14,3,15,1,8,1,10,1,8,1,15,1,14,1,16,5,17,1,14,6,17,1,14,1,16,11,14,4,17,1,16,9,17,1,16,9,17,1,14,2,17,3,16,7,17,2,14,8,17,3,14,21,17,2,14,7,3,2,14,32,15,2,14,6,7,2,8,2,7,8,14,1,7,1,18,1,8,2,10,2,4,554,19,4,4,2,18,1,3,1,18,1,8,1,10,4,8,6,10,2,8,9,15,2,7,1,8,20,10,3,8,4,10,2,18,1,4,1,19,9,4,2,10,7,8,1,10,5,8,2,10,3,8,1,7,1,3,1,18,1,4,46,3,9,18,1,4,3,19,6,4,31,19,9,3,4,18,2,8,1,10,1,4,742,},
{4,897,18,1,3,1,16,6,3,1,14,6,15,2,14,9,15,3,14,1,15,4,14,5,3,3,18,1,4,58,19,4,4,1,18,1,3,1,16,2,17,2,14,13,17,1,14,2,8,7,10,10,8,2,10,42,8,18,18,3,8,12,18,1,15,2,14,1,15,2,8,4,15,2,14,7,3,2,14,8,16,6,3,1,14,15,16,2,14,6,17,1,16,8,17,1,14,1,17,1,16,5,14,3,16,21,14,1,6,1,16,9,17,1,7,1,14,1,16,10,14,3,16,4,17,1,14,3,17,3,16,14,14,3,15,3,14,2,17,1,14,5,16,8,17,1,14,4,15,2,14,1,17,1,16,3,14,2,15,1,14,2,3,1,16,1,14,2,3,2,16,1,3,1,14,3,15,1,8,1,10,1,9,1,15,1,14,1,16,5,17,1,14,1,15,2,14,2,16,2,14,2,16,10,17,1,14,2,17,1,16,4,17,2,16,4,17,1,16,9,14,3,17,2,16,8,17,2,14,7,17,4,14,4,17,2,14,5,17,1,14,1,17,1,14,4,17,4,16,1,17,1,14,5,17,1,16,1,3,1,14,40,7,2,8,2,7,8,14,1,7,1,8,4,18,1,4,554,19,4,4,2,18,1,3,2,18,1,8,1,10,2,8,17,18,1,15,1,14,1,7,2,8,20,10,3,8,3,10,3,4,1,19,9,4,2,10,2,8,2,10,3,8,2,10,3,8,4,10,2,8,1,7,1,3,2,4,47,3,7,18,1,4,4,19,6,4,31,19,10,3,2,18,2,8,1,10,2,4,742,},
{4,898,18,1,3,1,16,6,3,1,14,5,15,2,14,5,15,2,14,7,15,3,14,2,16,1,3,5,18,1,4,58,19,4,4,2,18,1,3,2,16,1,17,1,14,13,17,1,14,2,15,1,18,1,8,6,10,3,8,4,10,11,8,1,10,34,8,19,18,1,8,13,15,6,8,3,15,2,14,8,3,1,14,9,16,6,3,1,14,15,17,1,16,1,14,7,16,9,14,2,17,1,16,3,17,1,14,3,17,1,16,20,14,2,17,1,16,9,17,2,16,10,14,3,16,4,17,1,14,4,17,2,16,15,17,1,14,12,17,1,16,6,14,5,15,1,8,2,15,1,17,1,16,3,3,1,14,1,15,1,14,2,3,2,14,2,3,1,16,2,3,1,14,4,8,3,15,1,14,1,16,5,17,1,14,1,15,2,14,2,17,2,14,3,16,9,17,3,16,5,17,2,16,14,17,1,14,2,17,2,16,8,17,3,14,6,17,18,14,1,17,3,16,5,17,1,14,6,3,2,14,41,7,11,14,1,18,1,8,3,18,2,4,555,19,3,4,3,18,1,3,1,18,1,8,6,7,1,8,14,15,2,7,2,8,20,10,3,8,4,10,2,4,1,19,9,4,2,10,1,8,4,10,3,8,1,10,1,8,6,10,2,8,1,7,1,3,2,18,1,4,47,18,3,3,1,18,2,4,5,19,2,4,2,19,2,4,31,19,10,18,3,8,1,10,2,9,1,4,742,},
{4,899,18,1,3,1,16,6,3,1,14,4,15,1,14,5,15,3,14,12,16,3,3,1,14,1,3,1,18,1,4,58,19,5,4,2,3,2,16,1,3,9,14,7,15,2,14,2,15,1,8,12,10,9,8,1,10,35,8,23,18,1,15,3,18,1,8,4,18,2,8,2,15,3,8,1,9,2,8,1,14,7,3,3,14,4,3,2,14,4,16,4,3,2,14,4,3,1,14,9,17,1,16,2,17,1,14,5,17,1,16,9,17,1,14,2,17,1,16,3,14,4,17,1,16,6,17,2,16,4,14,2,16,5,14,1,7,1,14,1,16,21,17,1,14,2,16,5,14,1,15,2,14,1,16,3,17,1,16,14,17,1,14,4,15,5,14,3,17,1,16,4,17,1,14,1,7,1,14,2,7,3,15,2,14,1,16,3,3,1,14,8,3,1,16,3,14,1,15,1,14,2,15,3,14,3,16,3,17,1,14,11,17,1,16,16,17,2,16,15,17,3,14,1,17,2,16,8,17,11,16,3,17,8,14,4,17,2,16,6,14,42,15,2,14,7,17,3,14,1,7,1,8,3,7,2,18,1,8,2,10,1,18,2,4,562,18,1,3,2,18,1,8,1,10,2,8,2,14,1,7,4,8,10,15,1,8,4,7,2,8,19,10,2,8,3,10,2,4,1,19,9,4,2,8,5,10,4,8,10,7,1,3,2,18,1,4,94,19,12,18,2,10,2,8,2,4,742,},
{4,900,18,1,3,4,16,3,3,1,14,6,17,1,14,3,15,2,14,12,16,3,14,2,3,1,18,1,4,58,19,6,4,2,3,13,14,7,3,1,14,2,8,12,10,4,8,1,10,27,8,2,10,12,8,22,18,1,15,4,8,3,18,1,15,2,8,2,15,3,8,1,10,2,8,1,14,6,3,4,14,4,3,1,16,1,14,7,3,2,14,4,3,3,14,7,17,5,14,5,17,1,16,9,17,1,14,2,17,1,16,3,17,1,14,4,17,1,16,5,17,2,16,3,14,3,16,5,14,1,7,2,16,21,17,1,14,2,16,4,17,1,14,1,15,2,14,1,16,3,17,1,16,15,17,1,14,2,15,2,8,3,14,5,16,4,17,1,14,1,7,1,14,9,16,2,14,8,3,1,16,3,3,1,14,1,8,1,15,2,14,6,16,3,17,1,14,2,17,2,16,1,17,1,14,6,17,1,16,15,17,2,16,8,17,1,16,7,17,2,14,1,17,2,16,9,17,3,16,1,17,2,14,2,17,2,16,4,17,1,14,1,17,5,14,4,17,2,16,5,17,1,14,42,15,1,18,1,15,1,14,5,17,1,16,3,17,1,7,1,8,6,10,3,18,2,4,563,18,3,8,1,10,2,8,5,14,2,7,1,8,20,10,1,8,9,10,1,8,4,10,2,8,4,10,1,4,1,19,6,4,4,10,1,8,6,10,3,8,2,7,2,8,6,7,1,3,2,18,1,4,94,19,12,18,3,10,1,8,1,9,1,4,742,},
{4,903,18,2,3,1,16,3,3,1,14,3,17,1,16,2,14,3,15,1,14,13,17,1,16,2,14,2,3,1,18,1,4,59,19,6,4,2,18,7,3,1,14,4,3,2,14,4,17,1,16,2,14,2,15,1,8,5,18,1,8,4,10,31,8,3,10,11,8,3,10,6,8,15,18,1,15,2,18,1,8,3,18,1,15,7,8,1,10,1,9,1,8,1,14,6,3,3,16,2,14,13,3,1,14,4,3,3,14,10,17,1,14,6,17,1,16,8,17,2,14,2,17,1,16,3,17,1,14,4,17,1,16,5,17,2,16,3,14,3,16,5,14,1,7,2,17,1,16,20,14,3,16,4,14,2,15,1,14,2,16,3,17,1,16,15,14,2,15,2,8,4,14,6,16,3,17,1,14,6,17,2,14,4,17,1,14,2,15,1,14,4,3,1,16,4,14,1,15,1,8,2,15,1,14,2,16,8,17,3,16,4,14,5,16,16,17,2,16,3,17,1,16,2,17,4,16,7,17,3,16,10,17,1,14,5,17,10,14,3,17,8,16,4,17,1,14,35,15,1,14,6,15,2,18,2,14,6,16,3,17,1,7,1,8,5,10,3,4,563,19,2,4,3,18,1,8,1,10,6,8,2,7,2,18,1,8,35,10,1,8,4,18,1,4,1,19,6,4,3,10,2,18,1,8,2,10,2,8,2,10,2,8,3,7,2,8,1,7,1,8,2,7,1,14,1,3,2,18,1,4,94,19,12,3,1,18,2,10,2,4,743,},
{4,905,18,1,16,4,3,1,14,1,16,4,14,15,15,1,14,3,16,1,14,2,3,2,4,59,19,7,4,8,18,4,3,2,16,1,3,1,14,2,16,4,17,1,14,2,15,1,8,4,18,1,8,4,10,31,8,3,10,10,8,4,10,7,8,15,18,2,8,3,18,1,15,5,14,1,15,2,8,4,14,6,3,3,16,3,3,1,14,16,3,3,14,17,17,1,16,8,17,7,16,3,14,3,17,1,16,5,17,2,16,2,17,1,14,3,16,5,14,1,7,2,6,1,16,20,17,1,14,1,17,1,16,4,14,1,15,1,14,3,17,4,16,15,14,1,15,3,8,3,15,1,14,6,16,3,17,1,14,4,17,1,16,3,14,6,15,3,14,2,3,1,16,5,14,2,15,1,8,2,14,1,3,1,16,16,17,1,14,2,17,1,16,2,17,2,16,12,17,2,16,2,17,5,14,3,16,7,17,2,16,10,17,2,14,4,17,2,16,2,17,5,16,1,17,1,14,2,17,3,16,7,17,2,14,27,3,2,14,8,15,2,14,6,15,3,14,3,7,1,14,2,17,1,16,2,17,1,14,1,7,1,8,3,10,3,4,564,19,3,4,3,18,1,8,2,10,5,8,2,18,2,8,26,10,2,8,12,18,1,4,2,19,5,4,2,10,1,8,1,18,2,8,2,10,2,8,2,10,2,8,4,7,2,14,1,7,3,14,1,3,2,18,1,4,94,19,11,3,3,18,1,4,1,18,1,4,743,},
{4,905,18,1,3,1,16,4,14,1,16,4,14,15,15,1,14,3,17,3,16,1,3,1,18,1,4,61,19,10,4,5,18,1,3,4,14,2,16,5,14,2,15,1,8,9,10,3,8,2,10,8,8,2,10,17,8,2,10,10,8,4,10,6,8,21,18,2,15,4,14,1,15,2,8,4,14,6,3,1,14,1,3,1,16,3,3,1,14,15,3,3,14,18,17,1,16,8,17,1,16,4,17,2,16,3,17,1,14,2,17,1,16,6,17,1,16,1,17,1,14,4,16,5,14,1,7,2,14,1,6,1,17,2,16,24,14,4,17,2,6,1,17,1,16,2,17,1,16,13,14,4,15,1,8,2,15,1,14,1,16,8,17,1,14,1,7,2,14,1,16,4,17,1,14,5,8,2,15,1,14,2,3,1,16,5,14,3,8,2,15,1,14,1,16,18,17,2,16,1,17,1,6,2,16,5,17,1,16,5,17,2,16,3,17,5,14,3,16,7,17,3,16,9,17,2,14,3,17,2,16,4,17,1,14,1,17,2,16,2,17,1,14,1,17,1,16,9,17,2,14,27,3,2,14,7,15,3,14,6,15,3,14,3,7,1,14,2,17,1,16,3,17,1,14,1,8,3,10,3,4,564,19,4,4,2,18,3,8,1,10,5,8,29,10,2,8,11,18,3,4,2,19,3,4,3,10,1,18,3,8,1,10,3,8,2,10,2,8,4,7,1,14,6,3,2,18,1,4,95,19,10,3,3,18,1,4,745,},
{4,906,3,1,16,4,3,1,16,3,14,16,15,2,14,2,17,1,16,3,3,1,18,1,4,61,19,13,4,3,18,1,3,5,16,5,14,2,15,1,7,1,8,9,10,1,8,4,10,6,8,4,10,13,8,1,10,14,8,4,10,5,8,21,18,2,15,4,14,2,15,2,8,3,15,1,14,6,3,1,14,1,3,2,16,2,3,2,14,3,15,1,14,30,17,1,16,15,17,1,16,4,14,2,17,1,16,8,17,1,14,3,17,1,16,5,14,1,7,6,14,1,16,23,17,1,14,2,17,1,16,2,17,2,16,2,17,1,16,10,17,1,16,1,14,6,15,1,8,2,14,1,16,9,6,1,7,2,6,1,16,5,14,1,7,1,15,3,8,3,15,1,14,1,3,1,16,7,14,1,15,1,8,2,15,1,14,1,16,20,17,1,6,2,16,5,17,2,16,3,17,1,14,1,16,4,17,4,14,4,17,1,16,7,17,2,16,6,17,8,16,6,17,1,14,2,17,1,16,3,17,1,16,10,17,2,14,27,3,2,14,8,15,2,14,12,7,2,14,2,17,4,14,1,7,1,8,2,10,3,4,564,19,5,4,1,18,5,10,6,8,36,18,3,8,1,18,4,4,7,18,3,8,7,10,3,8,4,7,1,14,4,17,1,3,2,18,1,4,95,19,9,3,3,18,2,4,745,},
{4,906,18,1,3,1,16,3,14,1,16,2,17,1,14,1,17,3,14,13,15,2,14,1,17,1,16,3,3,1,18,1,4,61,19,14,4,3,18,1,3,4,16,5,14,2,15,1,8,16,10,5,8,1,18,2,8,1,10,13,8,1,10,5,8,3,10,6,8,3,10,5,8,21,18,3,15,8,8,3,15,1,14,6,3,1,14,1,3,4,14,1,3,1,14,3,15,2,14,29,17,1,16,20,14,2,16,9,17,1,14,3,17,1,16,5,14,1,7,4,8,1,7,2,17,1,16,7,6,2,17,1,16,13,17,1,14,1,17,1,16,17,14,5,16,2,14,1,15,1,8,1,10,1,15,1,14,2,16,7,17,1,7,2,17,1,16,5,14,2,15,1,8,2,10,2,8,1,15,1,14,1,3,1,16,8,14,1,15,1,8,2,14,1,17,1,16,19,17,3,16,4,17,4,16,1,17,1,14,2,16,4,17,4,14,4,17,1,16,7,17,4,16,2,17,8,16,8,17,1,14,2,17,1,16,14,17,2,14,28,3,1,14,23,7,4,14,2,17,1,14,2,8,2,10,2,4,565,19,5,4,2,18,1,3,2,14,1,18,1,8,1,10,5,8,5,10,2,8,7,10,1,8,13,18,2,8,4,18,4,8,2,18,5,4,2,10,2,18,4,8,7,10,4,8,4,7,1,14,3,17,1,3,2,18,1,4,96,19,7,3,2,19,1,18,3,4,1,18,1,4,743,},
{4,907,3,1,16,6,14,2,16,3,14,12,15,3,14,1,17,1,16,3,3,1,18,1,4,61,19,14,4,4,3,3,16,6,14,3,7,1,8,16,10,2,8,2,18,3,8,3,10,11,8,1,10,6,8,2,10,6,8,3,10,5,8,20,18,2,15,10,8,2,15,2,14,6,3,2,14,10,15,2,14,25,17,4,16,20,17,2,16,11,17,1,14,1,16,5,17,1,14,4,7,1,8,3,6,1,16,6,6,1,7,2,14,1,17,1,16,13,17,1,16,18,14,5,16,3,14,1,8,1,9,1,8,1,14,3,16,15,17,1,14,1,15,1,8,2,10,2,8,1,18,1,15,1,14,1,17,1,16,8,14,1,8,2,15,1,14,1,16,27,17,5,14,1,17,1,16,2,17,6,14,4,17,1,16,8,17,12,16,9,17,1,14,2,17,2,16,10,17,4,14,52,7,3,8,1,7,2,14,4,7,1,8,2,18,1,4,565,19,6,4,1,18,2,3,2,18,2,10,3,18,1,10,2,8,3,10,5,8,5,10,1,8,13,18,3,8,3,18,1,14,2,18,1,8,3,18,4,10,3,8,1,18,2,8,2,10,2,8,4,10,7,8,3,7,1,14,2,17,1,3,2,18,1,4,97,19,4,3,3,19,2,4,748,},
{4,907,3,2,16,6,17,1,16,3,14,12,15,3,14,1,17,1,16,3,3,1,18,1,4,62,19,4,4,4,19,5,4,4,18,1,3,2,16,6,17,1,14,2,7,1,8,10,10,2,8,5,10,1,8,2,18,4,8,3,10,18,8,1,10,6,8,2,10,6,8,12,10,1,8,7,18,2,15,14,14,6,3,3,14,10,15,1,14,25,17,5,16,18,17,3,16,16,17,1,14,3,17,2,6,1,14,1,8,3,14,1,16,6,7,3,6,1,17,1,16,33,17,1,14,4,17,1,16,1,14,1,15,1,8,1,15,1,14,4,16,15,17,1,14,1,15,1,8,1,10,2,8,1,18,2,14,2,16,3,17,1,14,1,16,4,15,1,8,1,14,2,16,29,17,5,16,1,17,2,14,9,17,1,16,9,17,7,16,3,17,1,16,9,17,6,16,8,17,4,14,53,7,3,8,2,7,2,14,3,18,1,8,1,18,2,4,2,19,2,4,563,19,5,4,1,18,5,8,1,10,2,18,1,10,2,8,3,10,5,8,5,10,1,8,12,18,1,14,1,18,1,8,4,18,3,8,5,18,2,8,1,10,3,8,4,10,4,8,2,10,10,8,2,15,1,14,2,3,3,4,97,19,3,3,5,4,2,10,2,9,1,4,744,},
{4,907,18,1,3,1,16,10,14,12,15,2,7,2,14,1,16,4,3,1,18,1,4,71,19,3,4,5,18,1,3,1,16,7,17,1,14,2,7,1,8,7,10,5,8,4,10,2,8,1,18,5,8,3,10,22,8,2,10,8,8,4,10,5,8,2,10,2,8,7,18,2,15,3,18,2,15,9,14,29,15,3,14,13,17,5,16,18,17,2,16,7,17,1,16,7,17,1,14,4,17,1,16,3,14,1,7,1,8,2,14,1,16,5,17,1,7,3,14,1,6,1,17,5,16,6,14,1,16,22,17,1,14,4,16,1,14,8,16,16,14,1,15,1,8,1,9,1,8,2,18,1,8,1,15,1,14,1,16,3,17,1,14,2,16,3,14,4,16,30,17,2,16,3,17,1,14,8,17,3,16,9,17,7,16,3,17,1,16,9,17,6,16,8,17,4,14,52,15,1,7,3,8,2,7,4,18,1,8,1,18,2,4,2,19,4,4,562,19,5,4,2,18,4,10,2,18,2,10,2,8,3,10,5,8,15,18,1,8,3,18,3,8,16,10,2,8,1,10,1,8,1,10,8,8,1,10,8,8,2,14,2,3,3,4,99,19,2,3,3,19,1,4,3,8,1,10,1,4,744,},
{4,908,3,1,16,8,17,1,14,13,15,3,7,1,14,1,16,4,3,1,18,1,4,77,19,1,4,2,3,2,16,6,17,1,14,3,7,1,8,6,10,6,8,2,10,3,8,1,18,4,8,3,10,21,8,4,10,9,8,1,10,11,8,7,18,5,8,3,15,10,14,27,15,3,14,12,17,6,16,18,17,2,16,5,17,4,16,6,14,5,17,1,16,3,17,1,7,1,8,1,7,1,17,1,16,5,17,1,7,5,14,2,6,1,17,2,16,4,17,1,14,2,16,24,17,1,14,2,17,1,16,3,3,1,14,4,17,1,16,16,14,1,8,3,15,1,18,1,8,2,14,1,17,1,16,3,17,1,14,1,16,4,14,1,17,3,16,23,17,1,16,10,14,8,17,2,16,1,17,1,16,9,17,2,14,2,17,3,16,3,17,1,16,12,17,4,16,9,17,2,14,52,15,2,7,7,8,3,18,1,4,3,19,4,4,562,19,6,4,4,10,3,18,1,10,3,8,23,18,1,8,4,18,2,8,7,10,1,8,8,10,4,8,4,10,5,8,1,10,9,8,1,14,2,3,3,4,2,19,3,4,96,19,4,4,749,},
{4,908,18,1,3,1,16,7,17,1,14,13,15,3,7,1,14,1,16,4,3,1,18,1,4,76,19,3,4,1,18,1,3,1,16,7,17,1,14,3,8,2,10,1,8,5,10,4,8,2,10,3,8,1,18,3,8,4,10,22,8,4,10,19,8,9,18,3,8,4,15,10,14,12,15,2,14,13,15,3,14,11,17,1,16,3,17,3,16,18,17,2,16,4,17,5,16,6,14,5,17,1,16,3,17,1,7,3,16,6,17,1,6,1,7,6,6,1,16,6,14,3,16,25,17,1,14,1,16,5,3,1,14,3,17,1,16,16,14,1,15,2,18,1,15,1,18,2,8,1,15,1,14,1,16,11,17,1,14,1,17,1,16,13,17,4,16,16,17,1,14,7,17,1,16,12,17,2,14,2,17,3,16,17,17,2,16,11,17,2,14,51,15,1,7,2,14,4,7,1,8,3,10,1,4,4,19,3,4,563,19,8,4,2,10,7,8,34,10,4,8,8,10,4,8,4,10,5,8,1,10,9,8,1,14,2,3,3,4,1,19,5,4,848,},
{4,909,18,1,3,1,16,7,14,14,15,3,14,1,17,1,16,4,3,1,4,77,19,3,4,1,3,2,16,6,17,2,14,2,8,2,10,1,8,6,10,2,8,3,10,3,8,1,18,3,8,3,10,24,8,3,10,19,8,10,18,1,8,5,15,2,14,1,15,7,14,5,15,2,14,5,15,2,14,13,15,2,14,12,17,1,16,3,17,2,16,11,17,1,16,8,17,1,16,3,17,1,14,3,17,3,16,5,14,3,17,1,14,1,17,1,16,3,17,1,14,1,7,1,14,1,16,7,17,1,6,1,7,2,8,2,7,1,17,1,16,6,14,2,17,1,16,5,6,1,16,5,17,2,16,17,3,2,14,4,17,1,16,16,14,1,15,2,18,1,15,1,18,2,15,1,8,1,14,1,16,11,17,1,14,2,17,1,16,12,17,1,14,2,17,1,16,16,17,1,14,2,17,2,14,2,17,1,16,13,17,2,14,2,17,3,16,31,17,3,14,49,7,2,14,6,8,4,4,3,19,4,4,563,19,9,4,1,18,2,9,1,10,4,8,1,18,3,14,1,7,1,8,19,10,2,8,7,10,3,8,9,10,3,8,6,10,3,8,2,10,9,8,1,14,2,3,3,4,2,19,4,4,848,},
{4,910,3,1,16,7,17,1,14,14,7,3,14,1,17,1,16,3,3,1,4,76,19,4,4,1,18,1,3,1,16,7,17,1,14,2,7,1,8,1,10,3,8,4,10,2,8,2,10,5,18,3,8,4,10,24,8,3,10,18,8,16,15,2,14,1,15,7,14,5,15,3,14,4,15,3,14,6,3,2,14,18,17,1,16,2,17,3,16,7,17,3,16,14,17,1,14,3,17,3,16,5,14,7,16,2,17,1,14,2,17,1,16,9,17,1,7,4,16,15,17,1,16,5,6,1,7,1,16,17,14,2,15,2,14,2,16,12,17,1,16,3,17,1,14,1,15,2,18,3,14,2,15,1,14,1,16,11,17,1,14,3,17,1,16,4,17,1,14,1,17,2,16,4,14,2,17,1,16,17,17,4,14,3,16,14,17,5,16,28,17,2,16,5,17,1,14,53,17,1,14,2,8,3,18,1,4,3,19,4,4,564,19,8,4,2,18,1,10,5,18,2,3,2,14,1,7,1,8,5,18,1,15,1,14,2,15,1,18,1,8,8,10,4,8,5,10,2,8,18,10,4,8,2,10,9,8,1,14,2,3,3,4,2,19,4,4,848,},
{4,910,18,1,16,8,17,1,14,13,7,1,15,1,7,1,14,1,17,2,16,2,3,1,4,76,19,4,4,1,18,1,3,1,16,7,17,2,14,1,7,1,8,1,10,4,8,3,10,2,8,2,10,5,18,1,14,1,18,2,8,10,10,11,8,1,10,5,8,4,10,16,8,17,18,1,15,1,14,2,15,6,14,2,3,1,14,4,15,1,14,4,15,8,14,1,3,1,16,1,3,1,14,17,17,4,14,1,17,1,16,6,17,1,14,2,17,1,16,14,17,1,14,3,17,1,16,1,17,2,16,4,17,1,14,3,15,2,14,2,16,1,17,1,14,1,6,1,16,11,17,1,7,2,14,1,16,21,17,1,7,1,17,1,16,5,17,1,14,1,16,4,17,1,16,4,3,1,14,1,15,2,14,2,16,11,17,2,6,1,14,3,15,2,8,3,18,1,14,3,17,1,16,11,17,1,14,1,15,1,7,1,14,1,16,4,17,1,14,3,16,4,17,1,6,1,16,18,17,4,14,3,16,14,17,4,16,27,17,5,16,5,17,1,14,6,17,1,16,1,14,27,17,1,14,19,7,1,8,1,18,2,4,572,19,7,4,3,10,5,18,1,3,3,14,1,7,1,8,4,18,1,15,1,14,4,18,1,8,8,10,5,8,12,10,1,8,7,10,6,8,4,10,9,8,1,14,2,3,3,4,2,19,4,4,848,},
{4,910,18,1,3,1,16,9,17,1,14,10,15,5,14,2,16,2,3,1,4,77,19,3,4,2,3,1,16,6,17,1,16,1,17,1,14,2,8,1,10,2,8,5,10,6,8,1,10,2,8,1,18,1,14,1,18,2,8,9,10,18,8,4,10,16,8,1,10,1,8,14,18,1,15,9,14,2,3,1,14,5,15,1,14,3,15,5,8,2,15,1,14,2,3,1,14,18,17,2,14,4,16,6,17,1,14,3,16,14,17,1,14,3,17,2,14,1,17,1,16,4,17,1,14,2,15,3,14,1,17,1,16,1,17,1,14,1,6,1,16,13,17,1,16,23,17,2,16,5,14,2,16,3,14,3,16,3,3,1,14,1,15,2,14,1,16,11,17,1,6,1,7,3,15,3,8,2,9,2,18,1,14,1,3,1,14,1,16,13,6,1,7,3,16,5,14,1,15,1,7,1,14,1,16,3,17,3,16,21,17,1,14,1,17,1,16,4,17,3,16,8,17,3,16,26,17,2,14,3,17,1,16,6,17,1,14,3,17,1,16,4,17,1,14,45,15,1,18,2,4,574,19,7,4,2,10,4,8,1,18,1,3,3,14,1,7,1,8,5,18,1,14,5,15,1,8,7,10,5,8,8,18,1,8,12,10,3,8,4,10,11,8,1,14,2,3,3,4,2,19,3,4,849,},
{4,911,18,1,3,1,16,9,17,1,14,8,15,5,14,3,3,4,4,3,19,6,4,72,3,1,16,5,17,2,16,2,17,1,14,1,8,1,10,1,8,1,15,1,18,1,8,4,10,8,8,2,18,4,8,5,10,25,8,2,10,19,8,7,18,10,15,2,14,4,3,2,14,4,15,2,18,2,15,1,14,3,15,1,8,2,18,1,15,2,14,12,16,1,3,1,14,11,17,1,16,6,17,1,14,2,17,1,16,14,14,7,16,5,14,2,7,1,15,1,14,1,17,1,16,2,17,1,14,2,16,44,14,16,16,11,6,1,7,3,15,1,8,2,15,1,8,1,9,1,10,1,9,1,8,1,14,1,3,2,16,13,17,1,7,4,16,4,14,1,15,2,14,1,17,1,3,4,14,1,17,1,16,26,17,4,16,8,17,1,14,1,17,1,16,26,17,1,14,3,17,1,16,4,17,2,16,15,14,9,17,2,14,23,6,1,7,2,14,4,18,2,4,576,19,6,4,2,10,4,8,1,18,1,3,2,14,1,7,1,8,2,7,2,8,3,7,2,14,3,7,1,8,7,10,6,8,7,18,3,8,4,10,2,8,11,10,10,8,1,7,1,14,3,16,1,3,1,4,2,19,3,4,849,},
{4,912,3,1,16,10,14,8,15,4,14,1,15,1,14,2,3,4,18,1,4,2,19,6,4,72,14,1,16,5,17,2,16,3,14,1,8,1,10,1,8,1,14,1,15,1,18,1,8,3,10,8,8,3,18,3,8,3,10,7,8,3,10,39,8,5,18,2,15,3,18,2,8,2,18,2,15,1,14,11,15,1,8,3,18,1,14,3,15,1,18,1,8,4,15,1,14,10,3,1,16,1,3,1,14,12,16,7,17,4,16,12,17,1,14,7,16,5,14,2,7,2,14,1,16,4,17,2,16,44,17,1,14,1,15,5,8,3,15,3,14,3,16,11,17,1,7,1,8,5,15,2,8,1,9,2,8,1,15,1,14,1,3,1,16,14,17,1,7,3,16,5,14,3,3,5,14,2,17,1,16,8,17,3,16,14,17,4,16,8,17,3,16,26,17,2,14,2,17,1,16,4,17,2,16,15,17,1,14,8,17,3,14,12,17,4,14,2,7,7,14,3,18,3,4,576,19,6,4,3,10,4,18,1,14,3,7,5,8,1,10,1,8,3,7,4,8,7,10,6,8,7,18,2,14,1,18,1,8,3,10,3,8,10,10,9,8,2,14,4,16,1,3,1,18,1,4,1,19,2,4,850,},
{4,912,3,1,16,10,14,8,15,6,14,2,3,4,4,3,19,5,4,68,19,3,4,2,18,1,6,2,17,1,16,2,17,2,16,3,14,1,8,1,10,1,8,2,15,1,18,1,8,3,10,4,8,5,10,1,8,6,10,6,8,5,10,40,8,1,18,10,8,2,18,2,15,1,14,11,15,1,18,1,8,2,18,1,14,3,15,1,18,1,8,3,15,1,14,11,16,2,14,13,16,7,17,3,16,13,14,8,16,5,17,1,14,1,7,2,6,1,16,32,17,1,16,18,14,2,15,2,8,2,10,2,9,2,8,2,15,1,14,1,17,1,16,12,14,1,8,3,15,1,14,4,15,1,8,3,15,1,14,1,16,15,17,3,16,8,3,1,14,2,3,1,14,1,15,2,14,2,17,3,16,4,17,3,16,15,17,3,16,33,17,1,16,3,17,6,16,3,17,1,16,16,17,2,3,1,14,11,17,3,14,5,17,6,14,2,7,7,14,3,18,3,4,2,19,3,4,573,19,5,4,3,10,3,8,1,14,3,7,5,8,1,10,1,8,15,10,5,8,13,10,5,8,9,10,8,8,2,7,1,14,4,16,1,3,1,18,1,4,853,},
{4,912,3,1,16,10,14,12,15,2,14,1,3,4,18,1,4,3,19,4,4,68,19,5,4,1,18,1,7,1,14,1,17,1,16,3,17,1,16,3,14,1,8,1,10,2,8,2,18,1,8,2,10,2,8,7,10,3,8,3,10,7,8,6,10,40,9,1,18,2,15,3,18,9,15,2,14,7,15,4,18,2,15,2,14,4,15,1,8,3,15,1,14,10,16,3,3,1,14,14,16,6,17,2,16,12,17,1,14,3,17,1,14,3,17,1,16,6,14,3,16,32,6,1,7,1,14,1,16,18,17,1,14,1,15,1,8,1,9,1,10,5,9,1,8,1,15,1,14,1,16,12,14,1,8,3,15,1,14,2,3,1,14,1,15,2,9,1,10,1,8,1,14,1,16,26,14,1,15,1,18,1,14,2,15,2,14,3,17,2,16,5,17,1,16,19,17,2,16,31,17,2,16,3,17,6,16,18,17,4,14,11,17,3,14,5,17,6,14,2,7,8,14,2,18,3,4,2,19,4,4,572,19,5,4,3,10,3,8,2,7,2,14,1,7,2,14,1,7,1,8,17,10,5,8,3,18,4,8,6,10,5,8,3,10,4,8,2,10,6,8,3,7,1,14,4,17,1,16,1,3,1,18,1,4,853,},
{4,912,3,1,16,10,14,5,15,2,14,5,15,2,14,1,3,4,4,2,19,4,4,2,19,1,18,1,4,64,19,7,4,1,8,1,7,2,17,1,16,2,17,5,14,1,8,1,10,3,8,1,15,1,8,6,18,4,8,1,10,4,8,1,10,8,8,6,10,2,8,1,10,31,8,2,10,5,8,1,18,2,15,2,18,8,15,3,14,6,15,8,14,6,18,1,8,2,15,4,14,6,16,8,14,5,17,3,14,3,17,1,16,19,17,1,14,2,16,2,17,1,14,1,17,3,16,6,17,2,16,32,6,1,7,2,17,1,16,18,17,1,14,1,15,1,8,2,9,1,10,4,9,2,15,1,14,1,17,1,16,10,17,1,8,3,15,1,14,4,15,2,10,3,14,1,16,25,17,1,14,1,8,2,15,4,14,3,17,1,16,26,17,2,16,31,17,3,16,4,17,4,16,17,17,1,14,2,3,2,14,10,17,3,14,8,17,4,14,4,7,6,14,2,18,3,4,2,19,4,4,572,19,5,4,3,10,4,8,2,18,1,14,4,7,2,8,17,10,4,8,14,10,4,8,3,10,4,8,2,10,6,8,3,7,1,14,2,17,1,14,1,17,1,16,1,3,1,18,1,4,853,},
{4,912,3,1,16,10,14,5,15,2,14,5,15,2,14,1,3,4,4,2,19,4,4,2,3,1,18,1,4,64,19,6,4,2,8,1,7,2,14,1,16,2,17,1,14,3,17,1,14,1,15,1,8,1,10,1,8,2,18,1,8,6,18,4,8,2,10,2,8,2,10,7,8,6,10,3,8,1,10,21,8,2,10,7,8,5,10,3,9,1,8,1,18,11,15,15,14,9,18,1,8,5,15,1,14,5,16,9,14,4,17,1,16,1,14,4,17,1,16,20,17,2,16,3,17,4,16,40,17,1,7,3,6,2,17,1,16,17,14,3,15,1,8,1,15,1,8,1,10,3,9,1,8,1,15,1,14,2,16,9,7,1,8,3,15,1,14,2,15,1,8,2,9,1,10,2,14,1,16,13,17,2,16,10,14,1,15,1,8,4,15,1,14,3,17,1,16,28,17,1,16,31,17,4,16,4,17,3,16,16,17,1,14,13,17,4,14,10,17,3,14,5,7,5,14,1,15,1,18,3,4,1,19,5,4,572,19,5,4,3,10,6,8,2,18,3,7,3,8,4,7,1,8,2,10,3,8,25,10,10,8,3,10,6,8,2,7,1,14,2,17,1,14,1,17,1,16,1,3,1,18,1,4,853,},
{4,912,18,1,3,1,16,8,17,1,14,5,15,2,14,5,15,2,14,1,3,3,18,1,4,2,19,4,4,2,18,1,4,65,19,5,4,3,15,1,7,1,14,2,17,1,16,1,17,1,14,3,17,1,14,2,8,4,15,1,8,6,18,2,8,5,10,1,8,2,10,6,8,6,10,26,8,2,10,6,8,3,18,2,8,2,10,3,9,1,8,2,18,11,15,5,18,6,15,1,14,10,15,1,8,2,10,2,8,1,15,1,14,4,3,1,16,9,14,5,17,1,14,4,16,28,17,2,16,40,17,1,6,1,7,4,17,1,16,20,14,3,15,1,8,1,10,4,8,2,15,1,14,1,17,1,16,7,14,1,8,6,9,1,8,3,9,1,8,1,14,1,16,13,17,2,16,9,17,1,14,1,15,2,8,3,15,1,14,2,17,1,16,33,17,2,16,28,17,2,16,5,17,2,16,16,17,1,14,13,17,4,14,10,17,3,14,1,17,1,14,1,17,1,14,1,7,6,15,1,18,3,4,1,19,5,4,572,19,5,4,6,10,4,8,5,14,2,8,4,7,1,8,2,10,4,8,12,10,3,8,9,10,9,8,4,10,7,8,2,14,2,17,2,16,2,3,1,18,1,4,853,},
{4,912,18,1,3,1,16,7,17,2,14,5,15,1,14,6,15,3,3,3,18,1,4,3,19,3,4,68,19,4,4,3,18,1,14,1,7,2,14,2,17,1,14,7,15,1,8,2,15,1,14,1,18,1,8,16,10,4,8,6,10,27,8,1,10,7,8,6,9,1,10,3,9,1,8,3,18,3,8,7,18,5,8,3,18,3,15,1,14,3,15,1,18,2,14,2,3,1,14,2,15,1,8,1,10,2,8,1,15,1,14,4,3,1,16,9,14,10,16,70,17,2,6,1,7,3,16,13,17,1,16,10,14,1,15,1,9,1,10,5,8,2,7,1,14,1,17,1,16,5,17,1,7,1,10,4,8,3,14,6,17,1,16,21,17,1,14,4,15,1,8,2,15,1,14,2,17,1,16,33,17,2,16,28,17,3,16,4,17,2,16,16,17,1,14,13,17,4,14,9,17,4,14,5,7,5,15,2,18,3,4,1,19,4,4,573,19,5,4,7,10,5,8,1,10,1,8,1,14,2,8,7,10,4,8,11,10,5,8,8,10,9,8,3,10,9,8,1,14,2,16,4,3,1,4,854,},
{4,913,3,1,16,7,17,2,14,12,15,3,14,1,3,2,18,1,4,3,19,4,4,67,19,4,4,1,18,1,3,2,14,14,8,2,18,1,14,1,18,2,8,6,10,2,8,7,10,4,8,7,10,34,8,3,10,5,9,2,8,23,18,2,15,1,14,3,18,1,8,2,15,1,14,1,3,2,14,1,15,1,8,2,9,1,8,1,15,3,14,2,3,1,16,7,17,1,14,11,16,4,17,2,16,1,17,1,16,62,17,6,16,12,17,1,14,1,17,1,16,9,14,2,8,5,10,4,8,1,7,2,14,1,16,3,17,1,7,1,10,3,8,3,14,2,16,4,14,3,6,1,16,18,17,1,7,3,14,1,17,1,14,1,8,3,15,1,14,3,17,1,14,3,17,1,16,13,17,2,16,12,17,3,16,27,17,3,16,4,17,2,16,17,14,14,17,4,14,6,17,2,16,2,17,2,14,3,7,8,15,1,18,3,4,578,19,5,4,7,10,7,18,1,14,1,7,1,8,1,10,4,8,1,10,2,8,14,10,6,8,6,10,10,8,1,10,4,8,1,10,6,8,1,14,1,17,1,16,4,3,1,4,854,},
{4,913,18,1,3,1,16,7,17,1,14,10,15,5,14,3,18,1,4,2,19,3,4,1,19,1,4,68,19,2,4,2,3,2,16,1,17,1,14,13,15,1,18,1,14,2,18,1,8,5,10,6,8,4,10,5,8,7,10,19,8,1,10,14,8,2,10,5,9,1,8,26,18,1,15,1,14,2,15,1,8,3,18,1,14,2,3,2,14,2,15,1,8,2,15,4,14,2,16,5,14,14,16,3,17,5,16,66,17,2,16,12,17,1,14,1,17,1,16,9,3,1,14,2,15,4,8,1,10,4,8,2,7,1,17,1,16,2,17,1,7,1,8,2,7,1,14,4,16,5,17,1,7,2,14,1,16,18,17,1,7,1,8,1,7,1,14,1,16,2,14,1,8,3,15,1,14,7,16,11,17,2,14,1,17,3,16,1,17,2,16,8,17,2,16,27,17,5,16,21,17,1,14,13,17,5,14,4,17,3,16,2,17,2,14,2,7,5,6,2,14,2,15,1,18,3,4,579,19,4,4,8,10,1,9,3,10,2,18,2,7,1,8,1,10,6,8,3,18,1,8,11,10,27,8,1,10,5,8,1,7,1,14,1,17,1,16,1,17,1,16,2,3,1,4,84,19,3,4,767,},
{4,913,18,1,3,1,16,8,14,9,15,6,14,3,18,1,4,2,19,2,4,2,19,1,4,71,18,1,3,2,16,3,17,1,14,14,18,2,8,5,10,15,8,8,10,18,8,2,10,13,8,3,10,3,8,5,9,3,8,20,18,1,15,1,14,1,15,1,18,1,8,1,10,1,8,2,15,1,14,1,3,2,14,3,15,4,8,1,15,1,14,2,16,2,3,1,14,22,17,3,16,65,14,2,17,1,16,12,17,2,16,10,14,7,15,1,8,3,7,2,14,1,17,1,16,3,6,1,14,1,17,1,16,11,14,2,17,1,16,18,17,1,7,1,8,2,14,1,16,2,14,1,8,1,10,2,8,1,15,1,14,2,15,3,14,1,17,1,16,8,17,4,14,2,17,5,16,13,17,2,16,23,17,4,16,21,17,1,14,13,17,4,14,6,17,5,14,2,7,5,6,1,17,2,6,1,14,2,18,2,4,2,19,4,4,587,18,3,4,2,18,3,8,3,10,4,8,2,14,3,8,10,10,13,8,2,10,11,8,2,10,5,8,1,7,1,14,1,17,4,16,1,3,1,4,83,19,2,3,1,19,2,4,42,19,1,4,723,},
{4,913,18,1,3,1,16,9,14,8,15,3,14,1,15,4,18,2,4,2,19,6,4,70,18,1,3,2,16,4,17,1,14,13,18,1,8,3,10,3,8,3,10,12,8,8,10,18,8,3,10,12,8,10,10,3,9,1,8,20,18,1,15,2,18,1,8,2,10,1,9,1,8,1,15,1,14,4,3,1,14,3,15,2,8,1,15,2,14,2,3,1,14,23,17,3,16,64,17,1,7,2,6,1,16,7,17,1,16,4,17,3,16,10,14,4,17,1,16,6,17,1,16,13,14,3,16,3,17,2,16,20,7,1,8,1,7,1,14,1,16,2,14,1,15,1,10,2,8,2,15,3,8,1,15,1,14,1,17,1,16,7,14,7,17,5,16,12,17,2,16,50,17,1,14,31,7,1,14,1,6,1,17,1,16,1,17,2,14,2,18,2,4,2,19,5,4,592,18,2,14,2,7,1,8,1,10,3,8,1,18,1,14,3,8,5,10,18,8,7,10,4,8,4,10,3,8,2,7,1,14,6,16,1,3,1,4,83,19,1,3,5,19,1,4,37,19,5,4,722,},
{4,913,18,1,3,1,16,9,14,8,15,2,14,2,15,5,18,1,4,2,19,6,4,69,18,1,14,1,3,1,16,6,14,6,15,6,18,1,8,4,10,2,8,5,10,11,8,7,10,20,8,2,10,13,8,4,18,2,8,2,10,4,9,1,8,20,18,4,8,5,18,1,15,1,14,3,3,2,14,2,15,4,14,27,17,2,16,65,14,1,7,2,14,1,16,6,17,1,6,1,16,4,17,2,16,12,14,2,17,1,16,20,17,1,7,1,8,3,14,1,16,23,17,1,7,2,14,1,17,1,16,1,17,1,14,1,8,1,10,1,8,2,15,5,14,1,16,7,14,8,17,1,16,16,17,1,16,51,17,1,14,32,17,2,16,4,14,2,18,1,8,1,4,2,19,4,4,594,18,1,14,1,3,1,14,1,18,1,8,1,10,2,8,1,18,1,14,3,18,1,8,3,10,19,8,14,10,3,8,2,7,1,14,7,16,1,3,1,4,38,19,1,4,43,19,1,3,7,19,1,4,35,19,1,3,1,19,3,4,723,},
{4,913,18,1,3,1,16,10,14,7,15,1,14,3,15,5,18,1,4,3,19,5,4,67,18,2,3,1,14,2,16,6,17,1,14,4,15,1,8,17,10,12,8,5,10,23,8,1,10,13,8,3,18,2,8,3,10,4,9,1,8,3,10,1,9,1,8,16,18,1,8,3,10,1,8,5,18,1,15,1,14,6,15,2,14,28,17,2,16,10,17,1,16,53,17,1,14,2,6,1,17,1,16,6,17,1,14,1,16,4,17,1,16,13,14,3,16,20,17,1,7,1,10,3,14,1,16,25,14,2,17,2,16,1,14,1,15,1,8,2,15,2,14,4,17,1,16,6,14,2,15,2,14,5,17,1,16,16,17,1,16,51,17,1,14,5,15,1,7,1,14,14,7,2,14,6,17,2,16,7,17,1,14,1,18,1,10,1,4,2,19,4,4,594,18,1,3,3,14,1,8,4,18,2,8,5,10,19,8,15,10,2,8,2,15,1,14,7,17,1,16,1,3,1,4,37,19,3,4,42,3,9,19,1,4,34,19,7,4,721,},
{4,913,18,1,3,1,16,10,14,11,15,5,18,1,4,2,19,6,4,66,18,1,3,5,16,6,17,1,14,4,15,1,8,16,10,12,8,3,10,33,8,2,10,5,8,6,10,2,9,1,8,3,9,2,10,5,9,1,8,11,10,2,8,3,9,1,10,2,8,7,15,1,14,30,17,7,16,8,17,1,14,2,17,1,16,5,17,1,16,14,17,2,16,35,17,2,16,5,17,1,16,3,17,1,14,1,16,8,14,9,16,20,6,1,7,1,8,2,14,1,17,1,16,29,17,1,15,1,8,2,15,2,14,3,17,1,16,6,17,1,14,1,15,1,8,2,15,2,14,3,17,1,16,15,17,2,16,51,17,3,14,3,15,2,14,19,17,3,16,9,14,2,8,1,10,1,4,2,19,5,4,593,18,1,14,1,3,1,14,1,18,1,8,2,18,1,14,2,8,2,10,1,8,2,10,20,8,2,10,4,8,8,10,3,8,2,14,4,7,2,14,1,17,1,16,2,3,1,4,2,19,2,4,33,19,3,4,41,19,1,3,9,19,2,4,34,19,9,4,718,},
{4,913,18,1,3,1,16,10,14,11,15,5,18,2,4,2,19,5,4,66,18,1,3,2,16,2,17,6,14,6,15,1,8,4,10,1,8,12,10,7,8,7,10,14,8,2,10,25,8,3,10,5,8,3,9,1,10,7,9,1,8,10,10,2,8,3,10,3,8,5,10,1,8,2,15,1,14,12,3,1,14,15,17,1,16,1,17,4,16,3,17,1,16,6,17,1,14,2,17,1,16,5,17,2,16,12,17,1,14,1,6,1,17,1,16,34,17,1,14,1,17,1,16,8,17,1,14,2,16,4,17,1,14,2,15,3,14,6,17,1,16,20,17,1,14,4,17,1,16,1,17,1,16,27,14,1,15,4,14,2,17,1,16,8,14,1,8,4,15,2,14,3,17,4,16,11,17,1,16,52,17,2,16,1,17,1,14,3,15,4,14,14,17,6,16,3,17,2,16,3,14,2,8,1,10,2,4,1,19,5,4,593,18,2,14,1,18,2,8,1,18,1,14,2,18,1,8,1,10,31,8,7,10,3,8,1,15,1,14,4,7,1,14,2,16,3,3,1,4,2,19,3,4,31,19,7,4,1,19,1,4,35,19,1,3,11,19,1,4,35,19,3,3,4,19,2,4,717,},
{4,913,3,1,16,11,14,12,15,4,14,1,3,1,18,2,4,71,18,1,3,3,17,2,14,11,15,1,8,11,10,2,8,5,10,6,8,7,10,13,8,4,10,25,8,2,10,6,8,3,10,5,9,5,8,8,10,1,8,5,10,1,8,9,15,1,14,12,3,1,16,1,3,1,14,3,15,2,14,5,3,2,14,1,3,1,14,2,17,2,16,2,17,2,14,1,17,1,16,13,17,1,6,1,17,1,16,12,17,1,6,2,16,36,14,2,16,8,17,1,14,3,16,2,17,1,14,2,15,2,14,3,15,2,14,4,17,1,16,7,17,2,16,6,17,1,16,4,17,1,14,7,16,5,17,1,16,2,17,1,6,2,7,2,17,1,16,12,17,1,14,1,15,4,14,1,17,1,16,9,15,1,8,1,10,1,8,2,15,1,14,7,16,5,17,1,16,57,17,5,14,4,15,1,8,2,15,1,14,14,17,2,14,5,17,1,6,1,17,1,16,3,14,2,8,1,10,2,4,1,19,4,4,594,18,10,8,1,10,32,8,8,10,1,8,1,15,1,14,6,17,1,16,3,3,1,4,2,19,3,4,31,19,9,4,34,19,2,3,5,19,4,3,2,19,2,4,34,19,11,4,715,},
{4,912,18,1,3,1,16,12,14,12,15,2,18,1,14,1,3,2,18,1,4,70,18,1,3,2,14,2,17,1,6,1,7,2,14,2,15,3,7,1,14,3,15,1,8,11,10,2,8,5,10,7,8,6,10,13,8,4,10,25,8,3,10,7,8,1,9,1,8,34,15,1,14,11,3,1,16,1,3,1,14,2,15,3,14,4,3,1,17,1,16,1,3,2,14,3,17,1,16,3,17,3,16,28,17,1,6,2,17,1,16,35,14,3,17,1,16,6,17,1,14,1,15,1,14,5,15,1,8,2,14,2,15,3,14,6,17,1,16,5,7,2,17,1,16,9,17,2,14,7,16,2,17,1,14,3,16,1,17,1,7,1,8,4,7,1,14,1,16,13,14,1,15,1,8,1,15,2,14,1,16,9,14,1,8,1,10,2,8,1,15,1,14,8,16,3,17,2,16,22,17,1,16,37,17,3,14,3,15,1,8,3,15,1,14,21,6,1,17,1,16,3,17,1,14,1,18,1,10,1,4,2,19,4,4,595,18,6,8,4,10,33,8,7,10,1,8,1,15,1,14,5,17,1,16,3,3,2,4,2,19,3,4,30,19,10,4,33,19,1,3,7,19,1,4,2,19,2,3,1,19,2,4,34,19,12,4,1,19,1,4,712,},
{4,912,18,1,3,1,16,13,14,6,15,2,14,4,15,1,18,1,15,1,14,1,3,1,18,1,4,70,18,1,3,2,14,4,7,2,15,1,8,6,15,2,8,12,10,3,8,3,10,8,8,5,10,16,8,1,10,26,8,4,10,5,8,36,10,1,8,1,15,1,14,4,3,5,14,1,3,2,14,10,3,2,17,1,3,2,14,4,17,1,16,33,17,1,14,2,6,1,16,35,14,2,15,2,14,1,16,5,17,1,14,5,15,4,8,5,15,1,14,6,17,1,16,4,14,1,8,2,14,1,16,7,17,1,7,1,8,1,7,1,14,2,3,3,14,2,17,2,14,2,7,1,14,1,17,2,7,1,8,1,10,2,8,1,7,2,17,1,16,6,3,3,16,3,17,1,15,1,8,2,15,1,14,1,16,9,14,1,15,1,10,2,8,2,15,1,14,7,16,3,17,2,16,22,17,1,16,37,17,1,14,6,15,1,8,2,15,1,14,17,17,6,16,3,17,1,14,1,18,1,4,2,19,5,4,595,18,1,3,2,18,2,8,1,10,2,8,3,10,1,8,1,10,33,8,1,10,5,8,1,15,1,14,4,17,2,16,3,3,1,4,2,19,3,4,30,19,10,4,11,19,2,4,19,19,2,3,7,19,4,3,2,19,2,4,34,19,14,4,712,},
{4,912,18,1,3,1,16,13,14,5,15,3,14,4,15,3,18,3,4,70,3,3,14,3,7,3,15,1,8,6,15,3,8,4,15,1,8,6,10,3,8,2,10,10,8,4,10,43,8,5,10,2,8,24,18,3,8,11,10,2,8,1,14,4,3,2,16,3,3,2,14,12,3,1,14,1,3,2,14,4,17,1,16,9,17,2,16,23,6,1,14,2,17,1,16,23,17,1,16,8,17,2,14,1,15,1,8,2,14,1,16,3,17,2,14,5,7,1,15,1,14,3,15,1,8,3,15,2,14,8,17,1,16,1,17,1,7,1,8,3,14,1,16,6,7,1,8,1,10,1,8,1,15,1,14,1,3,4,14,7,17,2,7,1,8,1,10,3,8,2,7,1,14,1,16,4,14,4,16,4,14,1,8,3,14,1,16,9,17,1,14,1,8,1,10,2,8,1,15,3,14,5,17,4,16,61,17,1,14,3,17,1,14,3,15,2,14,7,7,1,14,10,17,5,16,5,14,1,18,1,4,2,19,5,4,595,18,1,3,2,18,2,10,5,8,3,10,40,8,1,7,1,14,3,17,1,16,3,3,2,4,2,19,3,4,29,19,16,4,5,19,5,4,16,19,2,3,9,19,2,3,3,19,1,4,35,19,17,4,709,},
{4,912,18,1,16,13,14,7,15,3,14,2,15,4,14,2,18,2,4,65,19,2,4,2,18,1,3,2,14,1,7,3,14,3,15,3,8,2,15,2,14,2,15,4,14,1,15,1,8,6,10,14,8,4,10,43,8,31,18,1,15,1,18,1,8,2,10,1,8,8,10,2,8,1,14,5,3,2,16,3,3,2,14,18,17,3,16,8,17,5,16,20,17,1,6,2,17,1,16,23,17,1,14,1,16,7,17,2,14,1,15,3,14,7,15,3,14,3,17,3,14,6,15,7,14,4,7,1,8,1,10,2,7,1,16,6,7,1,10,2,8,2,15,1,14,1,3,5,14,5,16,1,17,1,14,1,8,2,10,3,8,2,14,1,16,5,14,3,16,4,14,1,15,1,8,2,14,1,17,1,16,9,14,1,8,1,10,2,8,2,15,2,14,8,17,1,16,61,14,4,17,2,14,23,17,3,16,6,3,1,18,1,4,2,19,5,4,595,10,1,18,4,10,48,8,2,7,1,14,1,17,2,16,3,3,1,18,1,4,1,19,4,4,29,19,1,3,2,19,24,4,15,19,3,3,13,19,1,4,34,19,19,4,708,},
{4,912,18,1,16,13,14,7,15,3,14,1,15,4,14,2,3,2,18,1,4,64,19,4,4,1,18,1,3,1,14,2,7,3,6,1,17,1,14,5,15,1,14,5,15,2,7,1,14,2,8,7,10,11,8,7,10,42,8,11,10,1,8,18,18,1,15,2,18,1,8,2,10,2,8,7,10,1,8,1,15,1,14,5,3,2,16,2,3,3,14,10,3,1,14,6,17,5,16,7,17,1,14,4,17,1,16,47,14,1,17,1,16,7,17,1,14,1,15,2,14,5,15,3,8,1,15,2,14,2,16,9,14,3,15,3,8,2,15,2,14,3,7,1,8,1,10,1,8,1,17,1,16,4,17,1,8,2,10,1,8,3,15,1,14,3,3,3,14,1,3,1,16,4,14,2,15,1,8,1,10,3,8,2,14,1,16,4,14,2,3,1,16,5,14,1,15,2,14,2,16,1,14,1,17,1,16,6,14,1,15,1,10,2,8,2,15,1,14,4,17,1,14,4,17,1,16,61,14,4,17,1,16,1,17,2,14,23,17,1,16,7,18,1,4,2,19,5,4,596,18,4,8,1,10,48,8,1,7,1,14,1,17,1,16,4,3,1,18,1,4,2,19,3,4,29,19,1,3,3,19,24,4,15,19,4,3,11,19,1,4,35,19,19,4,707,},
{4,907,19,4,4,1,3,1,16,12,14,9,15,7,14,1,3,3,18,1,4,64,19,4,4,1,18,1,3,2,14,2,7,1,6,1,17,2,14,11,15,3,14,2,7,1,8,6,10,5,8,3,10,1,8,10,10,41,8,18,9,1,10,4,9,1,8,7,18,1,15,1,18,1,8,2,10,2,8,9,15,1,14,5,3,2,16,1,3,2,14,10,3,1,16,1,3,2,14,5,16,3,17,2,16,8,17,1,14,3,17,1,16,47,14,2,17,1,16,7,15,1,8,2,14,4,15,4,8,1,15,2,14,1,17,1,16,11,17,1,14,2,15,1,8,3,15,1,14,1,16,3,7,1,8,2,14,1,16,4,17,1,7,1,8,3,10,1,9,1,18,1,15,1,14,3,3,1,16,8,14,2,15,1,8,1,10,2,8,2,15,1,14,1,16,4,3,1,16,7,14,3,17,1,14,4,16,5,14,1,15,1,8,1,10,1,8,1,15,1,14,4,17,1,16,1,14,5,16,8,17,2,16,50,17,1,14,4,17,7,14,3,17,2,14,15,17,1,16,7,3,1,4,606,18,4,8,3,10,39,8,2,10,3,8,1,14,1,16,5,3,1,18,1,4,34,19,1,3,4,19,23,4,19,19,2,3,9,19,1,4,36,19,19,4,706,},
{4,906,19,5,4,1,3,1,16,12,14,3,16,2,14,5,15,4,14,4,3,3,4,64,19,4,4,1,18,1,3,2,14,3,6,2,17,1,14,11,15,3,14,4,7,1,8,5,10,2,8,17,10,15,8,3,10,23,8,17,9,1,10,3,9,1,8,8,18,1,15,1,18,1,8,2,10,2,8,9,15,1,14,4,3,5,14,4,16,2,3,1,14,2,3,1,16,6,14,4,16,4,17,2,16,7,17,1,14,3,17,1,16,47,17,1,14,2,16,7,14,1,15,2,14,4,15,4,14,4,16,15,17,1,14,4,17,1,16,4,14,3,16,5,14,2,8,1,10,3,9,1,8,1,15,2,14,2,16,9,17,1,14,1,7,1,8,3,10,1,9,1,15,1,14,1,16,3,17,1,3,1,16,10,14,1,8,2,15,1,17,1,16,4,3,1,15,1,8,1,10,1,8,1,15,1,14,4,16,2,14,5,17,1,16,3,17,6,16,50,14,6,17,7,14,2,17,2,14,10,7,1,14,4,17,2,16,1,17,1,16,4,3,1,18,1,4,598,19,5,4,2,18,5,8,1,10,2,8,1,10,36,8,3,10,3,8,1,14,1,16,5,3,1,18,1,4,34,19,1,3,4,19,24,4,21,19,1,3,5,19,1,4,38,19,20,4,705,},
{4,906,19,4,4,2,3,1,16,13,14,1,16,4,14,2,15,2,14,9,3,2,18,1,4,63,19,4,4,1,18,1,3,3,14,2,7,3,14,11,15,2,7,1,14,5,7,1,8,4,10,1,8,18,10,8,8,2,10,5,8,3,10,23,8,30,18,1,15,1,18,1,8,2,9,1,8,6,18,1,8,4,15,1,14,2,3,2,16,2,3,1,14,5,16,3,3,3,16,7,14,3,16,4,17,3,16,7,17,1,14,3,16,47,17,1,14,2,16,7,14,2,15,1,14,4,15,3,14,2,16,1,17,2,16,26,14,3,16,5,14,1,8,1,10,3,8,2,15,2,14,2,3,1,16,8,17,1,14,2,7,2,8,1,10,2,8,1,14,1,16,2,14,3,16,10,14,1,15,1,8,1,15,1,14,1,16,4,17,1,14,1,8,1,10,1,8,1,15,1,14,4,16,1,14,2,15,2,14,3,17,8,16,37,17,2,16,10,17,2,14,10,17,3,14,2,17,2,14,4,17,1,14,10,17,4,16,4,3,1,18,1,4,598,19,5,4,2,10,1,18,3,8,1,10,3,8,1,10,35,8,5,10,1,8,1,7,1,14,1,16,5,3,1,18,1,4,34,19,1,3,4,19,24,4,16,8,1,10,1,4,5,19,3,4,40,19,21,4,704,},
{4,906,19,4,4,1,18,1,3,1,16,18,14,14,18,2,4,64,19,2,4,2,18,2,3,2,17,1,14,1,7,3,14,11,7,2,14,3,17,2,14,2,7,1,8,7,7,2,8,13,10,8,8,2,10,6,8,2,10,23,8,31,18,2,8,8,18,2,8,4,15,1,14,2,3,1,16,2,3,2,14,1,15,2,14,2,16,3,3,3,16,7,3,1,14,1,3,1,16,6,17,1,16,8,17,1,14,2,17,1,16,46,14,3,16,9,14,5,15,2,14,1,17,1,16,4,17,1,14,1,17,1,16,24,14,1,15,1,14,1,16,5,14,1,8,1,10,2,8,2,15,3,14,3,16,7,17,1,14,4,15,1,8,1,10,1,8,1,15,1,14,5,16,10,14,1,15,1,8,1,14,1,17,1,16,4,17,1,14,1,8,1,10,1,8,2,15,1,14,3,16,1,14,2,15,2,14,3,17,6,16,7,17,2,16,30,17,4,16,8,17,3,14,10,17,2,14,2,17,3,14,1,17,4,14,10,6,3,17,1,16,3,3,1,18,1,4,597,19,6,4,4,10,41,8,6,10,1,8,1,7,1,17,1,16,5,3,1,18,1,4,35,19,1,3,3,19,24,4,6,19,5,4,5,10,2,4,47,19,26,4,700,},
{4,906,19,4,4,1,18,1,3,1,16,17,14,13,15,2,18,5,4,66,18,1,3,2,17,2,6,1,7,2,14,15,17,3,14,2,7,1,8,7,7,3,8,12,10,8,8,2,10,31,8,13,9,3,8,1,9,3,8,8,9,1,8,12,18,3,15,1,8,2,15,1,14,2,3,4,14,2,15,2,14,2,16,3,3,1,14,3,16,6,3,1,14,2,16,16,14,2,17,1,16,37,14,1,17,1,16,7,14,3,16,9,14,2,15,2,8,1,15,1,14,2,16,4,17,1,14,3,17,1,16,23,14,1,15,2,14,1,16,4,17,1,15,1,8,1,9,1,8,1,15,5,14,2,16,7,14,6,15,1,8,3,15,1,14,3,16,6,17,2,16,3,14,1,15,2,14,1,16,5,14,1,15,1,8,1,10,1,8,2,15,1,14,2,3,1,16,2,14,2,15,1,14,3,17,1,16,1,17,3,16,7,17,1,14,2,17,1,16,29,17,4,16,10,17,2,14,9,17,1,16,1,17,10,14,10,7,1,6,2,17,1,16,4,3,1,18,1,4,597,19,6,4,3,10,40,8,9,14,1,17,1,16,3,17,1,14,1,18,2,4,35,19,1,3,3,19,25,4,6,19,5,4,52,19,4,3,6,19,17,4,700,},
{4,907,19,2,4,2,3,1,16,17,14,14,15,1,8,1,18,3,3,2,18,1,4,66,18,1,3,1,17,2,6,3,14,15,17,4,14,2,8,5,7,5,8,12,10,8,8,3,10,31,8,6,10,1,8,5,10,7,8,8,10,1,9,1,8,11,18,2,15,1,14,1,15,3,14,7,15,1,8,2,14,2,16,2,3,1,14,5,3,1,16,3,3,1,14,4,16,15,17,1,14,1,17,1,16,37,14,1,6,1,16,7,14,4,16,9,14,1,8,1,9,1,8,1,15,1,14,1,16,5,14,2,7,1,14,1,6,1,16,18,14,2,16,2,17,1,14,2,15,3,14,1,16,3,17,1,14,1,8,2,15,1,14,3,15,2,14,2,16,6,17,1,14,1,7,2,14,1,17,1,14,2,15,1,8,1,15,1,14,2,16,12,14,1,15,2,14,1,16,5,14,1,15,1,8,1,10,2,8,1,15,1,14,2,16,3,17,1,14,5,17,1,16,3,17,1,16,7,14,4,16,29,17,6,16,10,17,1,14,8,16,2,17,2,16,5,17,2,14,8,7,5,6,2,17,1,16,3,3,1,18,1,4,597,19,6,4,3,10,39,8,9,15,1,14,1,16,3,14,2,8,2,10,1,4,35,19,2,3,2,19,39,4,48,19,4,3,9,19,3,3,3,19,9,4,700,},
{4,910,18,1,3,1,16,17,14,9,15,2,14,3,15,2,18,2,3,3,18,1,4,66,18,2,14,2,17,4,14,2,15,1,14,12,17,3,14,2,7,1,8,2,7,8,8,11,10,8,8,3,10,33,8,2,10,4,8,4,10,3,9,1,10,1,9,3,8,2,9,1,8,1,9,2,10,2,9,1,8,12,18,1,15,1,14,2,15,2,14,8,8,1,15,1,14,2,3,2,14,15,17,1,16,15,17,2,16,37,14,2,16,7,14,2,15,1,14,1,16,8,3,1,14,1,8,1,10,1,8,1,14,1,16,6,14,2,15,1,7,1,14,1,16,10,17,2,16,6,14,1,15,1,14,4,17,1,14,1,8,2,14,1,16,4,14,1,15,1,8,1,15,1,14,3,15,2,14,2,17,1,16,6,17,1,14,2,17,1,16,2,17,1,7,3,14,1,16,13,14,1,8,1,15,1,14,1,16,5,14,1,8,2,10,2,8,2,14,2,16,4,17,1,14,4,16,5,17,1,16,5,14,5,16,13,17,1,16,15,17,6,16,10,17,1,14,7,17,1,16,3,17,1,16,4,17,2,14,9,7,1,15,1,7,3,6,3,16,4,3,1,4,598,19,5,4,3,10,39,8,8,15,1,14,1,17,1,16,2,17,1,14,1,8,1,10,2,9,1,4,35,19,2,3,1,19,38,3,2,19,1,4,47,19,4,3,9,19,2,3,5,19,8,4,700,},
{4,910,3,1,16,18,14,9,15,2,14,2,15,4,14,1,3,3,18,1,4,67,18,1,14,1,7,1,6,1,17,1,16,2,14,1,15,2,14,5,15,1,7,1,14,7,17,2,14,1,7,4,14,3,7,4,8,13,10,6,8,4,10,39,8,3,9,1,8,9,9,1,10,11,8,7,18,1,15,1,14,2,15,1,14,9,15,2,14,1,3,3,14,16,16,15,17,1,16,38,17,2,16,7,14,1,15,1,8,1,15,1,16,9,14,1,8,1,10,1,8,1,14,1,16,6,14,2,15,1,7,1,17,1,16,8,17,1,14,5,17,1,16,3,14,1,15,2,14,2,16,3,15,1,8,1,15,1,14,1,16,4,14,1,15,1,14,4,15,3,14,2,17,2,16,5,17,1,16,6,14,3,16,13,14,1,8,2,14,1,16,4,17,1,14,1,8,2,10,2,8,2,14,2,16,5,17,1,14,3,16,4,17,2,16,4,17,1,14,4,17,1,16,12,17,2,16,21,17,7,16,4,17,4,14,4,16,2,17,6,14,10,7,2,8,1,7,2,6,2,7,2,17,1,16,3,3,1,4,598,19,5,4,4,10,37,8,6,10,1,8,2,14,2,17,3,14,1,7,1,8,1,10,1,8,1,9,1,4,35,19,38,3,6,19,1,4,45,19,5,3,1,19,11,3,6,19,5,4,701,},
{4,909,18,1,3,1,16,19,14,12,15,2,14,3,3,2,18,1,4,68,18,2,7,2,17,1,16,2,17,1,15,3,14,1,17,1,14,2,15,1,7,1,14,4,7,2,14,1,17,2,14,2,7,2,14,4,7,2,14,1,7,1,8,15,10,4,8,5,10,12,8,2,10,25,8,14,10,10,8,7,18,1,15,2,8,2,15,1,14,6,3,1,14,1,15,2,14,2,3,2,14,16,17,1,16,14,17,1,16,47,14,1,8,2,15,1,17,1,16,8,14,1,8,2,15,1,14,1,16,6,17,1,14,1,15,1,7,1,16,6,17,1,14,9,16,3,17,1,14,4,16,3,14,1,15,3,14,1,16,3,14,6,15,4,7,1,14,2,16,14,17,2,16,12,7,1,8,2,14,1,16,4,17,1,14,1,8,2,10,3,8,1,14,2,16,6,17,1,14,2,16,4,17,2,16,5,14,1,17,2,14,1,16,13,14,2,16,23,17,7,16,5,17,1,14,4,17,3,14,16,7,1,8,1,7,2,6,2,7,2,14,1,16,3,3,1,4,2,19,2,4,594,19,6,4,4,10,35,8,3,10,2,8,2,10,1,8,1,15,1,14,1,17,2,14,3,8,1,10,2,8,1,9,1,4,35,19,37,3,8,4,3,19,1,4,38,19,23,3,5,19,3,4,701,},
{4,909,3,2,16,20,14,11,15,2,14,4,3,1,18,2,4,69,18,3,14,1,16,2,14,13,7,1,14,2,17,2,14,5,17,2,14,5,7,1,8,14,10,4,8,6,10,10,8,3,10,25,8,13,10,11,8,7,18,2,8,3,15,1,14,9,15,1,14,3,3,1,14,16,17,1,16,54,17,1,16,7,14,1,8,3,14,1,17,1,16,7,14,1,8,2,15,1,14,1,16,7,14,1,7,2,16,6,14,1,15,2,14,9,17,1,16,9,14,2,8,2,15,1,17,1,16,2,14,5,15,1,8,2,15,2,7,1,14,1,16,15,17,2,16,11,14,1,7,1,8,1,15,1,14,1,16,3,17,1,14,1,8,6,15,1,14,1,16,6,17,1,14,1,17,1,16,4,17,2,16,5,17,1,16,2,17,1,16,13,14,3,16,14,17,1,16,7,17,2,14,5,17,1,16,5,17,1,14,3,17,2,14,9,7,1,14,7,7,1,15,1,7,2,6,2,7,2,14,1,16,3,3,1,4,2,19,4,4,592,19,6,4,4,10,1,8,4,10,23,8,10,10,2,8,4,14,2,17,1,16,1,17,1,14,2,8,1,10,1,8,2,9,1,4,36,19,35,3,5,16,3,3,2,4,2,19,4,4,12,19,4,4,17,19,25,3,6,19,3,4,700,},
{4,908,3,2,16,22,17,1,14,9,15,1,14,6,3,2,18,1,4,60,19,3,4,8,18,1,3,1,16,3,14,1,7,1,8,1,7,1,14,3,7,1,14,1,7,3,14,13,7,1,14,2,7,1,8,10,10,9,8,4,10,11,8,2,10,26,8,3,10,4,8,4,10,5,8,3,10,4,8,7,18,2,15,4,14,14,3,3,17,1,14,9,17,1,14,3,17,1,16,54,17,1,16,7,14,2,8,1,15,2,14,1,16,7,14,1,15,2,7,1,17,1,16,7,17,1,7,2,16,6,14,12,17,1,16,10,14,1,8,1,10,1,8,2,14,2,16,2,14,3,15,1,8,1,15,3,14,2,16,29,17,1,15,1,8,2,14,1,16,3,14,2,15,1,8,5,14,1,16,5,14,3,17,1,16,28,6,1,7,1,14,1,16,13,17,5,16,4,17,2,14,5,17,2,16,4,17,1,14,26,6,1,7,2,8,1,7,1,17,1,16,3,18,1,4,2,19,5,4,592,19,5,4,4,8,11,10,9,8,4,10,5,8,5,10,3,8,5,7,1,14,2,17,1,16,2,3,1,18,1,10,1,8,3,4,38,19,2,3,1,19,32,3,4,16,4,3,1,4,2,19,5,4,10,19,6,4,13,19,16,4,7,19,3,3,8,19,4,4,699,},
{4,908,3,1,16,23,17,1,14,17,3,1,18,1,4,60,19,10,4,2,3,1,16,3,14,1,8,3,7,1,17,1,6,1,7,4,14,17,7,2,8,4,7,2,8,3,10,10,8,2,10,13,8,1,10,26,8,3,10,5,8,3,10,6,8,12,18,3,15,4,14,15,17,3,14,13,16,5,17,1,16,2,17,2,16,44,14,2,16,8,14,1,15,4,17,1,16,6,14,1,7,3,6,1,17,2,16,6,6,1,14,1,17,1,16,4,14,7,17,1,16,1,14,2,15,1,14,1,17,1,16,10,17,1,7,1,8,1,10,2,8,1,14,5,15,2,8,1,15,1,14,2,17,1,16,31,14,1,8,1,10,1,15,1,14,1,16,3,14,3,15,1,8,3,14,1,16,4,17,1,14,3,16,29,17,1,14,1,7,1,17,1,16,12,17,6,16,2,17,2,14,6,6,1,17,2,16,3,17,3,14,26,7,3,14,1,16,3,3,1,4,2,19,5,4,592,19,4,4,5,10,2,8,1,10,1,8,7,10,9,8,4,10,4,8,6,10,3,8,4,7,1,14,4,3,3,18,1,10,2,8,1,4,40,19,1,3,1,19,32,3,4,16,5,3,1,4,1,19,5,4,10,19,6,4,8,19,14,3,1,19,4,4,12,19,3,3,5,19,5,4,698,},
{4,907,18,1,3,1,16,23,17,2,14,13,15,2,14,1,3,1,18,2,4,59,19,11,4,1,18,1,16,2,17,1,8,1,10,2,8,1,7,1,17,1,7,4,14,19,7,2,8,4,7,1,8,4,10,3,8,1,10,1,8,1,10,2,8,4,10,31,8,2,10,7,8,3,10,13,8,12,18,3,15,4,14,30,17,1,16,54,14,1,7,1,14,1,16,7,14,1,15,2,8,1,15,1,17,1,16,6,7,1,8,2,7,2,17,2,16,7,17,2,16,2,14,2,15,1,14,2,16,6,17,1,14,1,15,1,14,1,17,1,16,11,14,1,7,1,8,1,10,2,8,1,15,2,14,1,15,2,8,2,15,1,14,2,16,32,14,1,8,1,10,1,15,1,14,2,16,3,14,3,8,2,15,1,14,1,16,3,17,1,14,3,16,31,6,1,14,1,16,13,17,10,14,5,17,12,14,6,15,4,14,4,3,1,14,8,6,1,14,1,7,3,16,3,3,1,18,1,4,1,19,5,4,601,10,5,8,6,10,9,8,5,10,2,8,6,10,3,8,5,7,2,14,3,3,3,18,1,10,1,8,3,4,40,19,34,3,4,16,4,3,1,18,1,4,1,19,4,4,10,19,6,4,5,19,20,4,17,19,6,3,1,19,2,4,699,},
{4,907,18,1,3,1,16,24,17,1,14,13,15,3,3,2,18,1,4,59,19,11,4,1,18,2,14,1,8,1,10,3,8,1,14,1,17,1,7,4,14,20,7,2,8,9,10,3,8,2,10,2,8,4,10,30,8,4,10,6,8,5,10,11,8,13,18,2,15,5,14,29,17,1,16,53,17,1,8,2,14,1,16,7,14,1,15,1,8,1,15,1,14,1,16,6,14,1,7,1,8,2,7,2,14,1,16,9,17,2,14,1,15,1,8,2,14,2,16,7,14,4,17,1,16,11,17,1,7,1,8,1,10,3,8,1,15,2,8,4,14,1,16,8,17,1,16,24,17,1,8,1,10,1,8,1,14,2,16,4,14,2,15,1,8,1,15,1,14,1,16,3,14,3,16,47,17,5,16,2,17,3,14,1,17,2,16,3,17,7,16,4,17,1,14,5,15,4,14,12,6,1,17,2,7,3,14,1,16,3,18,1,4,1,19,5,4,600,10,6,8,6,10,9,8,4,10,2,8,6,10,3,8,6,7,3,14,3,3,1,18,1,8,1,10,1,8,3,4,42,19,33,3,6,16,1,3,2,4,2,19,3,4,11,19,5,4,2,18,1,3,5,19,17,4,21,19,2,3,1,19,2,4,699,},
{4,907,18,1,3,1,16,24,17,1,14,13,15,3,14,1,3,2,18,1,4,58,19,12,4,2,18,1,10,4,8,1,14,3,7,5,14,11,17,1,6,1,14,5,7,3,8,8,10,3,8,8,10,30,8,4,10,6,8,6,10,10,8,3,10,3,8,7,18,1,15,7,14,27,17,1,16,54,17,1,7,2,17,1,16,7,14,1,15,3,14,1,16,6,14,1,8,2,15,1,14,3,16,9,14,2,7,1,15,1,8,1,15,1,14,2,16,7,14,5,17,2,16,10,17,1,7,1,8,1,10,2,9,1,8,6,14,1,17,1,16,6,17,1,14,2,17,1,16,23,8,1,10,2,8,1,14,1,16,4,17,1,14,1,8,3,14,1,3,1,16,2,14,3,16,6,17,4,16,36,17,4,16,5,17,4,16,5,17,6,16,4,17,2,14,12,3,1,14,7,17,1,16,2,17,1,7,1,8,1,7,1,16,3,3,1,4,1,19,5,4,600,10,1,8,1,10,5,8,5,10,10,8,3,10,2,8,5,10,4,8,6,7,3,14,4,18,1,10,2,8,3,4,42,19,38,3,3,18,1,4,23,18,1,3,5,19,17,4,22,19,4,4,699,},
{4,906,18,1,3,2,16,24,17,1,14,13,15,3,14,1,3,3,4,59,19,11,4,2,10,5,8,1,14,7,7,3,14,9,17,2,14,1,7,2,14,3,7,4,8,6,10,3,8,7,10,32,8,3,10,7,8,5,10,18,8,5,18,1,15,1,14,2,15,5,14,26,17,1,16,4,17,3,16,5,17,3,16,40,14,2,16,7,17,1,14,1,15,1,8,1,14,1,16,7,14,1,15,1,8,1,15,3,14,1,16,9,6,1,14,1,7,1,15,3,14,4,16,5,14,8,16,11,14,1,8,1,9,1,8,2,15,4,14,3,16,6,14,1,7,2,14,1,17,1,16,22,15,1,10,2,8,1,14,1,17,1,16,4,14,1,15,1,8,1,10,1,8,1,14,5,17,1,16,2,17,1,14,7,17,1,16,35,17,4,16,16,17,3,16,6,17,1,14,19,17,1,16,4,14,1,8,2,14,1,16,2,3,1,4,2,19,3,4,601,10,1,8,2,10,2,4,1,10,1,8,6,10,10,8,1,10,3,8,5,10,3,8,7,7,1,14,5,18,1,8,1,10,3,8,1,4,44,19,36,4,2,18,3,4,22,18,1,3,6,19,17,4,725,},
{4,905,18,1,3,3,16,24,17,1,14,14,15,1,14,1,3,4,4,64,19,6,4,2,10,4,8,1,7,1,14,4,17,2,14,1,7,3,14,8,17,3,14,1,7,2,14,4,7,5,8,10,10,2,8,2,10,15,8,2,10,26,8,4,10,19,8,4,18,1,15,1,14,3,15,5,14,20,15,1,14,4,17,1,16,2,17,5,16,5,17,4,16,39,17,2,16,7,14,1,15,1,8,2,14,1,16,6,17,1,15,4,8,2,14,1,16,9,17,2,14,9,17,1,16,3,14,4,17,1,14,1,7,1,14,1,17,1,16,11,14,1,15,1,8,2,15,1,14,9,17,2,14,2,8,2,14,1,17,1,16,22,14,1,10,3,15,1,14,1,16,4,14,1,15,1,8,1,10,2,8,1,15,1,14,2,17,2,3,2,14,9,17,1,16,34,17,4,16,26,17,1,14,2,3,1,14,15,17,1,16,4,17,1,7,1,8,1,14,1,16,2,3,1,4,606,9,1,8,2,10,5,8,6,10,13,8,4,10,4,8,6,7,2,6,2,14,3,18,1,8,1,10,4,4,44,19,33,3,2,19,1,4,1,8,1,10,3,18,1,4,21,18,3,19,2,3,2,19,17,4,725,},
{4,904,18,1,3,4,16,24,17,1,14,14,15,1,14,2,3,1,16,1,3,1,4,64,19,7,4,1,18,2,8,1,18,2,15,2,14,4,17,1,6,1,14,1,7,2,14,7,17,3,14,1,7,3,14,7,7,4,8,7,10,4,8,1,10,15,8,3,10,25,8,4,10,19,8,4,15,1,14,4,15,5,14,19,15,3,14,3,17,8,16,5,17,2,14,1,17,1,16,48,7,1,8,3,14,1,16,6,14,1,15,1,14,2,8,3,15,1,16,9,6,1,17,2,14,10,16,1,17,1,14,3,17,2,14,1,15,2,14,1,16,12,14,4,16,5,17,1,14,2,15,5,8,1,7,1,14,1,16,16,17,3,16,4,14,1,8,1,10,2,8,1,14,2,16,3,3,1,14,1,8,1,10,3,8,1,14,2,16,1,3,3,14,10,17,1,16,33,17,5,16,25,17,2,14,15,3,1,14,1,17,2,16,3,17,1,7,1,8,1,7,1,17,1,16,2,18,1,4,605,9,1,8,2,10,2,4,1,10,3,8,6,10,12,8,3,10,5,8,6,7,2,17,2,14,2,7,1,8,2,10,4,4,45,19,32,3,3,19,1,4,1,8,3,10,1,18,1,4,20,18,2,19,1,4,1,19,20,4,44,19,3,4,678,},
{4,904,3,1,16,1,3,3,16,24,17,1,14,14,15,2,14,1,3,1,16,1,3,1,4,64,19,6,4,3,18,5,8,3,7,1,14,11,17,3,14,3,7,3,14,9,7,4,18,2,8,3,10,4,8,1,10,15,8,3,10,25,8,4,10,7,8,1,10,10,8,5,15,1,14,4,15,4,14,11,15,1,14,8,15,4,14,7,17,3,16,6,17,2,16,9,17,1,16,39,7,1,8,1,10,1,8,1,7,1,16,6,14,4,15,1,8,1,9,1,15,1,16,8,17,1,14,1,6,1,14,15,17,1,16,1,17,1,14,1,15,2,14,1,16,22,14,2,8,1,10,3,8,2,14,1,17,1,16,16,17,1,14,3,17,1,16,2,17,1,15,1,10,2,8,1,15,1,14,2,3,3,14,2,8,1,10,2,8,1,14,2,3,6,14,8,17,1,16,2,17,2,16,29,17,6,16,18,17,2,16,4,17,2,14,14,3,2,14,2,17,2,16,3,7,1,8,2,14,1,16,2,3,1,18,1,4,604,10,1,8,2,10,2,4,1,10,4,8,5,10,12,8,1,10,7,8,6,7,1,14,1,17,2,14,2,15,1,8,1,10,5,4,46,19,31,3,5,18,1,8,2,10,1,8,1,18,1,4,20,19,11,4,3,19,8,4,45,19,4,4,677,},
{4,904,3,1,16,1,3,1,14,1,3,1,16,24,17,2,14,13,15,2,14,1,3,1,16,1,3,1,4,65,19,6,4,3,18,4,10,3,8,2,7,1,14,2,17,2,14,4,17,4,14,2,7,4,14,10,7,5,18,1,8,2,10,4,8,1,10,15,8,4,10,24,8,4,10,7,8,1,10,9,8,6,18,1,14,4,15,4,14,11,15,2,14,7,15,5,14,7,17,4,16,4,17,1,16,10,17,2,16,38,7,1,8,2,7,1,6,1,16,6,14,4,15,2,8,1,15,1,14,1,16,7,14,1,7,2,14,15,16,2,17,1,14,5,16,22,14,1,15,1,8,1,10,2,8,2,14,1,16,18,17,1,14,1,15,2,14,1,16,2,14,1,8,1,10,2,8,1,15,1,14,6,8,1,10,2,8,1,14,3,3,3,14,11,17,2,14,2,17,1,16,23,17,2,16,3,17,2,14,2,17,3,16,16,17,1,14,2,17,2,16,2,17,2,14,5,3,3,14,5,3,3,17,1,14,1,6,2,17,1,16,2,17,1,7,1,8,1,14,1,16,3,18,1,4,605,8,1,10,3,4,1,10,4,8,5,10,11,8,2,10,6,8,7,7,1,14,1,6,2,7,2,8,2,10,5,4,46,19,31,3,6,10,4,18,2,4,20,19,9,4,5,19,6,4,47,19,4,4,676,},
{4,903,3,2,16,1,3,1,15,1,14,1,16,25,17,1,14,13,15,3,3,3,4,66,19,6,4,6,10,5,8,1,7,1,14,1,17,1,16,1,17,1,14,3,17,3,14,2,7,5,14,4,17,1,14,4,7,5,18,1,8,3,10,4,8,2,10,13,8,5,10,14,8,3,10,7,8,5,10,16,8,6,18,1,15,1,14,3,15,4,14,6,3,1,14,5,15,3,14,7,15,4,14,7,17,1,14,1,17,2,16,3,17,1,16,10,17,1,16,39,6,1,7,2,6,1,16,7,3,1,14,1,15,2,14,2,8,2,14,1,16,7,14,1,8,1,7,2,14,13,17,1,16,2,14,7,16,22,14,2,8,4,14,1,17,1,16,18,14,1,8,2,14,1,17,1,16,1,14,1,8,1,10,2,8,1,15,1,14,6,15,1,8,2,15,1,14,17,17,2,14,2,17,1,16,23,14,1,17,1,16,3,17,2,14,2,17,3,16,15,17,2,14,3,17,2,16,1,17,1,14,6,3,4,14,5,3,2,14,2,6,1,14,1,17,1,16,3,14,1,8,1,14,1,16,3,18,1,4,1,19,4,4,600,18,1,9,1,10,6,8,6,10,11,8,1,10,6,8,8,7,6,8,2,10,5,4,46,19,31,3,3,16,2,3,1,18,1,10,3,18,3,4,19,19,9,4,6,19,4,4,49,19,3,4,676,},
{4,902,18,1,3,1,16,1,3,1,18,2,14,1,16,26,17,1,14,12,15,3,14,1,3,2,4,67,19,5,4,8,10,4,8,1,14,1,17,1,16,1,17,1,14,8,7,4,14,5,17,1,14,3,7,4,8,6,10,3,8,3,10,13,8,5,10,12,8,5,10,8,8,4,10,15,8,7,18,1,15,1,14,3,15,5,14,13,15,2,14,7,15,4,14,9,17,1,16,3,17,1,16,4,17,2,16,13,17,2,14,2,17,1,16,38,14,1,15,2,14,2,15,1,8,1,15,1,14,1,16,6,14,1,8,1,7,2,14,12,16,3,17,1,14,5,15,2,14,1,16,23,14,2,15,2,14,2,17,1,16,17,17,1,7,1,15,1,14,2,16,2,14,1,8,1,10,1,8,1,15,1,14,1,15,6,8,2,15,1,14,17,17,2,14,2,17,1,16,23,14,1,17,1,16,3,17,6,16,16,17,1,14,5,17,3,14,6,3,1,16,3,17,1,3,1,14,6,17,1,6,1,14,1,17,1,16,3,17,1,7,1,15,1,3,2,16,1,3,1,19,5,4,602,10,4,8,9,10,17,8,9,7,3,8,4,10,5,4,46,19,31,3,3,16,2,3,2,8,1,10,2,8,1,18,3,4,19,19,2,4,2,19,4,4,6,19,3,4,51,19,3,4,675,},
{4,902,3,4,18,2,3,1,16,28,14,11,15,3,14,1,3,2,18,1,4,2,19,4,4,66,19,3,4,4,10,4,8,1,14,2,16,1,17,1,14,7,7,4,14,10,7,1,8,9,10,3,8,3,10,13,8,5,10,12,8,5,10,3,8,2,10,5,8,5,10,12,8,8,18,1,15,1,14,1,15,8,14,11,15,3,14,7,15,2,14,2,15,1,14,7,17,1,16,3,17,1,16,4,17,2,16,13,17,1,14,3,17,1,16,39,3,1,14,1,3,2,14,1,8,2,15,1,14,1,16,5,14,1,7,2,14,1,17,2,14,9,17,1,16,2,17,1,14,3,17,1,14,2,15,3,14,1,16,14,14,1,15,1,14,2,16,6,14,5,16,18,14,3,3,1,16,2,14,1,15,1,9,1,8,1,15,1,14,1,15,1,8,3,15,2,8,2,14,3,15,2,18,4,15,1,14,9,17,1,14,1,17,1,16,24,17,2,16,4,17,5,16,11,17,2,16,1,17,2,14,6,17,3,14,5,3,1,17,1,16,2,17,2,3,1,14,7,17,1,14,1,17,2,16,3,14,1,7,1,14,1,3,3,19,5,4,601,10,9,8,7,10,15,8,17,10,4,4,45,19,32,3,3,16,2,3,1,18,1,10,3,8,1,18,1,3,1,18,1,4,24,19,3,4,6,19,2,4,730,},
{4,901,18,1,3,3,18,3,16,29,3,1,14,12,15,2,14,1,3,1,18,1,4,2,19,5,4,64,19,5,4,3,10,5,15,1,14,1,3,1,14,8,7,4,14,9,7,1,8,9,10,4,8,4,10,29,8,3,10,5,8,2,10,6,8,6,10,2,8,1,10,6,8,9,15,2,14,1,15,10,14,11,15,1,14,19,17,1,16,4,17,1,16,5,17,1,16,12,17,1,14,3,17,1,16,43,3,2,15,3,14,2,17,1,16,2,14,2,17,2,16,1,17,1,14,9,17,1,16,2,14,4,16,2,14,2,15,3,16,13,14,1,8,3,14,1,16,8,17,1,14,2,17,1,16,5,17,1,16,18,14,1,8,2,14,3,15,1,8,2,15,2,8,2,14,3,15,1,18,1,8,4,18,2,14,7,3,1,17,2,16,31,17,5,16,11,17,4,14,7,17,1,14,7,3,1,17,5,3,1,17,2,14,8,17,1,16,3,14,1,8,2,18,1,3,2,4,1,19,4,4,610,10,3,8,6,10,12,8,18,10,4,4,45,19,32,3,6,10,4,8,2,18,3,4,764,},
{4,901,3,3,18,1,4,2,18,1,16,29,3,1,14,12,15,2,14,1,3,2,18,1,4,1,19,5,4,64,19,6,4,4,10,3,8,1,14,9,15,1,14,1,7,1,14,11,7,1,8,9,10,4,8,4,10,37,8,2,10,6,8,11,10,4,8,2,18,2,8,4,18,1,15,1,14,3,15,9,14,11,15,2,14,15,17,1,14,2,17,1,16,4,17,1,14,1,17,1,16,4,17,1,16,4,17,3,16,5,14,3,17,1,16,3,17,2,16,40,3,1,14,2,15,1,14,3,17,1,14,1,17,1,16,2,17,1,14,5,17,2,14,4,16,2,14,4,16,3,14,2,15,2,14,1,16,11,14,1,8,3,15,1,14,1,16,10,17,2,16,24,14,1,8,2,14,7,15,1,8,2,15,1,14,2,15,1,8,7,15,1,14,6,3,1,16,1,17,2,16,30,17,5,16,11,17,2,14,5,17,5,14,12,17,1,3,1,16,1,17,2,14,4,7,2,14,2,17,1,16,2,14,1,15,1,10,1,8,1,3,2,4,2,19,3,4,611,10,2,8,7,10,10,8,20,10,2,8,1,4,45,19,32,3,5,18,1,8,1,10,3,8,3,18,2,4,764,},
{4,901,3,3,4,3,18,1,3,1,16,29,14,13,15,1,14,2,3,1,18,1,4,1,19,4,4,66,19,7,4,3,10,3,8,1,14,7,15,2,14,13,7,2,8,1,18,1,7,2,8,5,10,3,8,4,10,37,8,2,10,6,8,10,10,4,8,3,18,2,8,4,18,1,15,1,14,3,15,6,8,1,15,2,14,27,17,4,16,6,17,2,16,4,17,2,16,3,17,1,14,2,16,4,17,1,14,3,16,4,17,3,16,41,3,1,14,6,17,1,16,3,14,5,16,1,17,1,14,4,16,2,14,4,16,3,14,2,15,2,14,1,16,9,17,1,14,1,8,3,15,1,14,2,16,23,17,2,16,11,14,1,15,1,8,1,14,1,3,1,14,6,15,2,14,3,15,1,8,1,10,4,8,3,18,1,15,1,14,4,3,1,17,3,16,8,17,1,16,22,17,5,16,2,17,4,16,4,17,3,14,3,17,6,14,14,17,1,14,5,7,5,14,1,17,1,16,1,17,1,7,1,10,2,14,1,3,1,18,1,4,1,19,3,4,612,10,2,8,6,10,10,8,19,10,2,8,1,4,46,19,31,3,6,18,1,8,1,10,2,8,2,10,2,8,1,18,1,4,764,},
{4,902,18,1,4,1,19,2,4,1,18,1,3,1,16,29,3,1,14,5,17,2,14,5,15,1,14,2,3,2,18,1,4,1,19,3,4,1,3,2,4,63,19,9,4,2,10,2,8,1,18,1,14,1,3,4,14,1,15,1,14,5,7,1,15,1,14,10,7,2,14,1,7,1,8,10,10,46,8,10,10,3,8,7,18,3,15,1,14,7,15,2,8,3,15,1,14,22,15,1,14,4,17,3,16,13,17,1,14,1,17,3,14,3,16,3,17,1,14,3,16,6,17,2,16,42,3,1,14,1,15,2,14,2,17,1,16,4,14,8,17,1,16,1,17,1,14,13,16,8,17,1,15,1,8,3,15,2,14,2,16,24,14,1,17,1,16,5,14,3,3,1,16,2,14,8,3,1,16,1,3,1,14,4,15,1,8,1,10,2,8,7,15,1,14,2,3,1,14,3,17,1,16,21,17,2,14,1,17,1,16,6,17,7,14,1,17,5,16,3,17,3,14,3,17,8,14,18,7,1,14,2,7,1,14,1,17,3,14,1,8,1,10,1,8,1,18,1,3,1,4,1,19,4,4,613,10,3,8,4,10,10,8,13,10,5,8,2,10,1,4,46,19,30,3,7,8,2,10,2,8,2,10,3,18,1,4,764,},
{4,904,19,2,4,2,18,1,3,1,16,29,14,15,3,2,18,1,4,2,19,2,4,1,3,2,18,1,4,64,19,7,4,3,10,2,18,3,3,3,14,8,15,1,14,2,15,2,14,6,15,1,7,1,14,1,7,1,8,9,10,32,8,2,10,13,8,1,10,4,8,5,10,2,8,8,18,2,15,1,14,9,15,1,8,3,15,1,14,17,17,3,14,8,17,2,16,13,17,1,14,2,17,2,14,3,16,3,17,1,14,2,16,8,17,2,16,2,17,1,16,39,3,1,14,1,15,2,14,2,16,4,14,3,16,8,17,1,14,12,16,8,14,1,8,3,15,3,14,2,16,17,17,1,16,6,17,2,16,4,14,1,15,1,9,1,8,1,15,1,14,1,16,1,3,4,14,4,16,4,14,3,15,1,8,1,10,2,8,1,10,5,8,1,18,1,14,6,16,11,17,3,16,6,17,2,14,4,17,1,16,6,17,2,16,1,17,2,14,7,17,1,16,3,17,11,14,21,6,1,17,1,6,3,17,1,16,1,14,1,8,1,10,2,18,2,4,1,19,3,4,617,10,1,8,4,10,12,8,9,10,4,8,4,4,47,19,30,3,7,10,4,8,2,10,4,4,39,19,1,4,1,19,3,4,49,19,3,4,668,},
{4,900,19,6,4,2,18,1,3,2,16,28,3,1,14,14,3,2,18,1,4,2,19,2,4,1,3,2,18,1,4,65,19,7,4,6,18,2,3,3,14,9,15,3,14,3,7,2,8,3,7,2,8,9,10,31,8,5,10,11,8,1,10,4,8,16,18,1,15,2,14,8,15,2,8,2,15,1,14,17,17,3,14,11,17,4,16,8,17,1,14,2,17,2,14,2,17,1,16,3,17,1,14,2,16,53,14,1,15,1,8,1,15,1,14,2,16,2,17,1,14,2,16,11,14,11,16,7,14,1,15,1,8,3,15,3,14,2,16,15,17,1,14,1,17,1,16,12,14,1,9,1,10,2,15,1,14,1,3,2,16,2,3,2,14,2,3,1,16,4,14,4,18,1,8,1,10,7,8,2,15,1,14,5,16,6,17,8,16,6,17,6,16,7,17,2,16,2,17,1,14,9,17,1,16,7,17,3,14,23,17,6,16,1,14,1,8,1,10,3,18,1,4,1,19,3,4,617,10,2,8,3,10,13,8,2,10,3,8,6,10,1,8,4,4,47,19,30,3,6,18,1,10,1,8,1,10,2,8,5,10,2,4,41,19,1,18,1,19,1,4,48,19,3,4,668,},
{4,900,19,6,4,3,18,2,3,2,16,27,3,1,14,14,3,1,18,2,4,1,19,4,3,2,4,65,19,12,4,3,18,2,3,4,14,6,15,3,14,3,15,1,8,5,7,1,8,7,10,33,8,2,18,1,8,3,10,5,8,1,10,2,8,1,10,7,8,16,18,1,15,2,14,7,15,2,8,2,15,1,14,17,17,2,14,15,17,2,16,4,17,1,16,2,17,3,14,4,16,4,14,3,16,54,14,1,15,2,14,1,16,3,14,3,16,11,14,12,16,4,14,2,15,2,8,6,14,2,16,13,17,1,14,3,17,1,16,12,14,1,8,1,9,1,8,3,14,2,3,6,16,5,14,5,8,2,10,6,8,2,15,1,14,4,17,1,16,6,17,6,16,10,17,1,16,15,17,2,14,7,17,4,16,5,17,2,14,9,15,1,7,1,14,12,17,7,14,1,8,1,10,3,4,2,19,3,4,618,10,1,8,3,10,20,8,1,18,3,10,1,8,3,4,48,19,29,3,7,18,1,10,5,8,4,10,3,4,40,19,1,3,2,19,1,4,48,19,3,4,667,},
{4,900,19,5,4,6,18,3,16,27,14,15,18,2,4,2,19,2,4,1,3,2,18,1,4,64,19,14,4,2,18,1,3,3,14,7,15,2,14,4,15,1,8,12,10,35,8,4,10,6,8,2,10,1,8,1,10,7,8,17,18,1,15,2,14,6,15,1,18,1,8,3,15,1,14,16,17,2,14,15,17,1,16,5,14,1,17,5,14,4,16,4,14,3,16,55,14,2,3,1,16,3,14,2,16,11,14,3,15,2,14,13,15,3,8,6,15,1,14,1,16,13,17,1,14,3,16,14,14,2,15,1,8,1,10,1,8,1,15,1,14,2,3,2,16,3,17,1,14,3,17,1,16,2,14,2,18,1,8,1,10,6,8,2,18,1,15,1,14,2,3,1,17,1,16,5,17,5,16,29,17,2,14,9,17,2,16,3,17,3,14,9,7,2,14,12,17,7,14,1,8,1,10,3,4,1,19,5,4,619,8,2,10,13,8,1,10,6,18,4,4,53,19,26,3,9,10,6,8,4,10,3,4,40,19,1,3,3,4,48,19,5,4,665,},
{4,901,19,3,4,10,18,1,16,26,3,1,14,15,18,2,4,1,19,2,4,2,3,1,18,1,4,65,19,14,4,2,18,2,3,1,18,3,15,1,14,4,15,2,14,2,15,2,8,12,10,35,8,1,10,9,8,1,10,10,8,13,9,1,8,4,18,2,15,2,14,4,15,1,18,1,8,3,15,1,14,33,17,1,16,4,17,1,14,2,17,1,16,2,17,1,14,3,17,1,16,4,14,1,15,1,14,1,16,74,14,18,15,5,8,4,15,1,14,1,16,14,14,2,16,8,17,3,16,6,14,1,15,1,8,3,15,2,14,1,3,1,16,2,3,1,14,4,17,1,16,3,3,1,14,1,8,1,10,6,8,2,18,1,14,3,3,2,16,4,17,1,14,3,17,1,16,31,17,2,14,9,17,6,14,25,17,1,6,2,14,1,17,2,14,1,8,1,10,3,4,1,19,4,4,621,10,13,8,1,10,6,18,2,3,2,18,1,4,53,19,23,3,11,18,1,10,5,8,4,10,4,18,2,4,39,3,3,19,1,4,47,19,5,4,665,},
{4,907,19,1,4,1,19,2,4,3,18,1,3,1,16,26,14,15,18,2,4,1,19,2,4,2,18,2,4,68,19,12,4,2,18,4,8,2,14,5,15,5,8,12,10,56,8,12,9,1,10,2,8,4,18,1,15,4,14,2,15,1,8,4,15,1,14,34,16,4,14,3,17,1,16,2,17,1,14,2,17,2,16,4,14,1,15,1,14,1,16,8,17,2,16,16,17,1,16,47,14,3,17,1,14,2,17,1,16,3,17,1,14,8,15,4,8,1,9,2,8,1,15,1,14,1,16,24,17,3,16,7,3,1,14,1,15,1,8,3,14,2,3,3,14,4,17,1,16,2,17,1,3,2,18,1,10,6,8,2,15,1,14,2,3,2,14,2,16,3,17,1,14,2,17,2,16,33,17,1,14,41,7,2,14,3,7,1,8,1,10,2,4,620,19,1,4,4,10,13,8,2,10,3,8,1,10,1,8,1,18,1,3,4,18,1,4,52,19,22,3,13,18,1,8,11,18,1,3,1,18,1,4,4,18,1,4,2,19,1,4,31,19,1,3,2,19,1,4,47,19,5,4,665,},
{4,907,19,5,4,3,18,1,16,29,17,1,14,12,18,1,4,2,19,2,4,71,19,13,4,5,10,1,8,1,15,1,14,4,8,6,15,1,8,10,10,43,8,1,10,12,8,13,10,2,9,1,8,4,18,1,15,6,8,4,15,1,14,3,3,1,14,30,16,3,14,4,17,1,16,2,17,1,14,2,17,1,16,5,14,3,16,8,14,2,17,1,16,15,17,2,16,58,17,1,14,1,17,1,14,6,15,1,8,2,10,2,8,1,14,2,16,35,3,1,14,1,15,1,8,2,15,1,14,8,17,2,14,2,3,2,18,1,8,1,10,6,8,1,15,1,14,2,3,2,14,3,17,2,14,3,17,2,16,34,14,2,17,7,14,20,7,2,14,9,7,3,14,1,17,1,14,3,8,1,10,1,4,618,19,6,4,2,10,12,8,1,10,3,8,1,18,3,3,5,4,54,19,21,3,13,18,2,8,2,10,6,8,2,18,1,3,2,18,1,4,2,18,1,3,1,19,4,4,32,19,2,4,717,},
{4,907,19,5,4,4,3,1,16,28,17,1,14,12,3,1,18,1,4,1,19,4,4,72,19,12,4,3,10,2,8,1,15,1,14,2,15,1,8,7,15,2,8,4,7,1,8,4,10,6,8,1,10,34,8,2,10,11,8,21,18,2,15,5,8,4,15,1,14,1,3,4,14,30,17,1,14,5,16,3,17,3,16,4,17,2,14,2,17,1,16,2,17,1,16,5,14,1,7,1,14,1,17,2,16,13,17,2,16,59,17,3,6,1,14,4,15,1,8,2,10,1,9,1,8,1,14,2,16,34,3,2,14,2,15,3,14,6,17,3,14,3,3,2,14,1,8,1,10,6,8,1,15,1,14,7,17,2,14,3,17,2,16,34,17,3,16,6,17,1,14,17,7,5,14,8,7,3,14,1,17,3,14,1,18,1,10,1,4,617,19,8,4,2,10,5,18,2,10,8,8,1,18,3,3,4,19,1,4,54,19,22,3,12,18,1,8,1,10,8,8,2,18,6,3,2,18,1,19,4,4,750,},
{4,907,19,5,4,4,18,1,3,1,16,27,17,1,14,12,3,1,18,1,4,2,19,4,4,77,19,7,4,2,10,3,8,1,15,1,14,2,15,1,8,11,7,2,18,1,8,3,10,54,8,21,18,3,15,3,18,1,8,4,15,1,14,1,3,1,16,2,3,1,14,6,3,1,14,29,17,1,16,1,17,1,14,2,17,1,16,3,14,4,16,3,17,1,14,2,16,4,14,1,8,1,7,3,14,1,17,1,16,10,17,4,16,59,17,2,14,4,15,2,8,2,9,1,8,2,14,2,16,33,14,6,15,1,14,6,17,1,16,2,17,1,14,3,3,2,14,1,18,1,8,1,10,5,8,1,15,1,14,7,17,5,16,37,17,1,16,8,17,1,14,17,7,2,14,9,7,3,14,1,17,1,16,4,14,1,18,1,4,616,19,11,4,2,18,5,10,9,18,2,3,4,19,1,4,55,19,22,3,9,16,1,3,2,18,1,8,1,10,8,8,4,10,2,8,1,18,1,3,2,18,1,19,4,4,37,19,2,4,711,},
{4,908,19,4,4,4,18,1,3,1,16,22,17,1,16,5,14,5,17,1,14,1,3,1,14,4,18,2,4,2,19,5,4,77,19,7,4,1,10,3,8,1,15,1,14,3,15,1,8,10,7,2,18,1,8,3,10,26,8,3,10,25,8,1,10,2,8,1,10,3,8,14,18,4,15,1,18,1,8,2,10,1,9,1,8,1,15,1,14,1,3,1,16,2,3,1,14,5,3,1,16,1,3,1,14,33,17,1,16,3,14,4,16,3,14,1,15,2,14,1,16,3,14,1,15,1,8,2,7,2,6,1,16,10,6,3,17,1,16,59,17,1,14,3,15,3,8,5,15,1,14,2,16,23,17,1,14,2,16,6,14,1,15,1,8,1,10,1,8,1,15,1,14,5,17,1,16,1,17,3,16,2,17,2,14,1,3,2,14,1,15,1,8,1,10,5,8,1,15,1,14,6,17,5,16,47,17,3,14,26,7,3,17,1,16,5,3,1,18,2,4,615,19,10,3,1,18,6,10,10,18,2,3,4,19,1,4,54,19,23,3,9,16,1,3,2,18,1,8,2,10,2,8,2,10,4,8,2,10,2,8,2,18,3,4,1,19,4,4,37,19,1,3,2,19,1,4,709,},
{4,909,19,3,4,5,18,1,3,1,16,19,17,1,14,1,16,7,14,2,17,1,16,3,14,5,18,2,4,2,19,6,4,76,19,7,4,1,10,4,8,1,14,5,15,1,8,14,10,62,8,13,18,3,8,1,18,1,8,3,10,2,8,1,15,1,14,1,3,1,16,2,3,1,14,5,16,2,3,1,14,12,15,2,14,11,17,2,14,7,17,1,16,1,14,2,15,2,14,1,16,3,17,1,15,1,8,1,15,1,14,1,16,2,17,1,14,1,7,4,6,1,16,9,17,1,7,2,6,1,14,1,16,60,17,1,14,2,15,2,8,3,15,4,14,2,16,22,14,5,16,3,14,2,15,1,8,1,10,3,8,1,15,1,14,3,16,3,17,1,14,1,17,2,16,5,3,2,14,1,15,1,8,2,10,2,8,2,14,6,17,1,16,53,17,4,14,15,17,4,14,6,7,1,6,1,17,1,16,6,3,2,18,1,4,614,19,9,3,5,18,3,10,1,8,5,10,4,18,3,3,1,18,1,19,1,4,55,19,23,3,8,16,3,3,1,14,6,18,1,8,2,10,2,8,2,10,2,8,3,18,2,4,2,19,2,4,38,19,1,3,2,19,1,4,709,},
{4,917,18,1,3,1,16,34,14,5,3,1,18,1,4,2,19,6,4,77,19,6,4,1,10,4,8,1,15,1,14,5,15,1,8,13,10,16,8,1,10,21,8,1,10,23,8,14,18,1,8,5,10,4,8,1,14,1,3,1,16,2,3,1,14,5,16,2,17,1,14,11,15,4,14,5,17,2,14,3,16,1,17,1,14,11,15,1,8,1,15,1,14,1,16,2,17,1,14,1,8,2,15,1,14,1,16,2,14,5,17,1,16,9,17,1,7,2,14,2,16,61,17,1,14,2,15,8,14,2,16,7,17,1,16,13,17,1,14,7,15,1,8,3,10,4,8,1,15,1,14,2,17,1,16,2,17,1,14,3,17,1,16,5,3,2,14,2,15,1,8,4,15,1,14,6,16,54,17,11,14,7,17,6,14,6,17,1,16,7,3,2,18,1,4,614,19,10,3,4,18,1,4,2,8,7,10,3,18,5,4,56,19,23,3,7,16,5,17,1,16,4,3,3,18,1,8,8,10,2,4,44,19,1,3,1,19,2,4,708,},
{4,918,18,1,3,3,14,1,16,30,14,5,3,1,18,1,4,1,19,7,4,78,19,5,4,2,10,4,8,1,14,6,8,5,10,1,8,9,10,14,8,1,10,18,8,8,10,19,8,5,18,1,8,6,18,1,8,7,10,4,8,1,14,1,3,2,16,1,3,1,14,4,3,1,16,2,3,1,14,12,15,4,14,3,17,1,16,2,17,1,14,1,17,1,16,1,17,1,14,10,15,2,8,1,15,1,14,1,16,3,14,1,15,1,8,2,15,1,14,1,16,3,17,1,14,2,17,1,16,9,17,1,14,3,3,1,16,63,14,2,15,3,14,5,16,8,14,1,17,1,16,11,17,1,14,2,17,1,16,1,17,1,14,2,15,1,8,5,10,2,8,2,15,1,14,2,16,2,17,1,14,5,17,1,16,4,3,3,14,3,15,3,14,6,16,34,17,2,16,3,17,1,16,4,17,2,16,2,17,17,14,2,17,1,14,3,17,8,6,1,14,5,17,1,16,2,17,1,16,4,3,3,4,615,19,9,3,5,18,1,4,1,10,1,8,6,10,3,18,4,4,57,19,23,3,7,17,2,16,9,3,2,18,1,8,7,10,3,4,45,19,4,4,707,},
{4,913,18,2,4,4,18,3,8,1,15,1,17,1,16,27,14,5,3,1,16,1,3,1,19,8,4,78,19,5,4,3,10,2,4,1,10,1,18,1,14,5,15,1,8,1,15,1,8,2,10,1,8,12,10,18,8,2,10,5,8,5,10,5,8,4,10,18,8,3,18,12,8,5,10,4,8,1,15,1,14,1,3,2,14,5,3,1,16,1,3,1,14,15,15,3,14,3,16,3,17,2,16,2,14,4,17,1,16,1,14,4,15,3,14,2,17,1,16,3,14,1,8,1,10,1,8,1,7,1,16,4,14,1,7,1,14,1,16,10,17,3,16,4,3,1,16,60,3,1,14,1,15,1,14,6,16,8,14,2,16,10,17,1,14,3,16,5,14,2,15,1,14,3,15,1,8,2,15,1,14,2,17,2,14,7,17,1,16,4,3,4,14,7,3,2,14,1,3,1,16,33,17,8,16,3,17,3,16,1,17,2,16,3,17,3,14,6,17,2,14,3,17,5,14,5,6,2,14,6,17,3,14,2,16,2,3,4,4,615,19,10,3,5,18,1,4,1,10,2,8,5,10,1,18,5,4,57,19,23,3,6,14,1,7,2,17,1,16,8,3,2,18,1,8,1,10,7,8,1,18,2,4,45,19,2,3,1,19,1,4,706,},
{4,913,3,2,18,1,4,6,10,1,9,1,3,1,16,26,17,1,14,4,3,3,18,1,19,8,4,79,19,4,4,7,10,1,8,1,15,2,14,6,8,14,10,17,8,3,10,16,8,3,10,18,8,4,18,6,15,5,18,3,8,2,10,4,8,1,15,1,14,1,3,2,14,5,3,2,14,4,3,1,14,11,15,4,14,3,16,6,14,3,17,1,16,2,17,1,14,3,15,3,14,3,16,3,17,1,8,1,10,2,8,1,17,1,16,3,17,1,14,3,16,17,17,1,16,60,3,1,14,6,3,1,16,8,14,2,16,9,17,1,14,1,7,1,14,2,16,6,14,2,16,3,14,1,15,2,14,2,3,3,14,8,17,2,16,2,3,5,14,6,3,3,16,34,17,1,14,2,17,8,14,2,17,4,16,3,17,2,14,7,17,2,14,3,17,4,14,13,6,1,17,2,14,1,7,1,14,1,17,2,3,4,4,613,19,3,4,1,19,8,3,7,18,2,4,1,10,1,8,3,10,1,18,4,4,58,19,24,3,7,18,1,3,2,16,6,3,3,14,1,8,1,10,6,18,4,4,46,19,2,3,1,19,1,4,705,},
{4,914,3,3,4,1,19,3,4,2,18,1,3,1,16,24,14,1,3,2,14,3,3,3,18,1,4,1,19,8,4,89,10,5,8,1,14,2,3,2,14,1,15,4,8,10,10,11,8,2,10,37,8,1,10,6,8,6,15,5,14,2,15,5,8,2,10,4,8,1,15,1,14,8,3,3,14,7,15,1,14,6,15,1,8,3,15,2,14,2,17,1,16,5,14,2,17,1,16,4,17,2,14,2,15,2,14,3,16,3,14,1,8,1,10,2,8,1,14,1,16,4,14,1,15,1,14,1,17,1,16,78,17,1,14,4,17,1,16,8,14,3,16,9,14,6,17,1,16,10,14,3,3,3,14,12,16,2,3,2,17,3,14,6,16,35,17,1,14,2,17,1,14,1,17,4,14,5,17,4,16,3,17,2,14,7,17,2,14,19,17,2,6,1,7,2,17,2,7,1,6,1,17,1,3,3,4,611,19,13,3,10,4,6,18,2,19,1,4,59,19,24,3,8,19,1,18,1,3,3,16,1,3,6,18,1,10,4,8,1,18,2,3,3,18,1,4,47,19,3,4,704,},
{4,914,3,3,18,1,4,1,19,3,4,2,3,1,16,24,14,1,3,2,14,3,3,1,16,1,3,1,4,99,10,1,8,1,10,4,18,1,3,3,14,2,15,1,14,1,15,2,18,1,15,1,18,4,8,2,10,49,8,9,10,2,8,6,15,2,14,8,15,1,8,1,10,3,8,2,15,1,14,3,15,2,14,3,3,2,14,7,15,2,14,6,15,1,8,5,15,1,14,2,16,5,14,2,17,1,16,7,14,2,15,2,14,3,16,2,14,1,15,1,10,2,8,1,14,1,16,4,14,3,17,1,16,80,17,3,16,9,14,3,16,8,3,4,14,2,15,2,17,1,16,9,14,3,3,1,14,3,3,4,14,7,16,2,14,2,16,3,17,1,14,5,17,1,16,2,17,1,14,1,17,2,16,28,17,6,16,2,17,1,14,4,17,1,16,2,17,2,16,4,17,1,14,7,16,2,14,17,17,4,6,1,7,2,17,2,6,1,7,1,17,1,16,2,3,1,4,611,19,6,4,2,19,6,3,1,19,2,3,5,19,1,4,6,19,2,4,60,19,25,3,13,18,2,3,2,16,2,14,1,8,1,10,3,18,1,3,5,18,1,4,47,19,3,4,704,},
{4,915,3,3,4,2,19,2,4,2,3,1,16,23,17,1,14,1,3,2,14,3,3,1,16,1,3,1,4,99,10,6,18,1,14,1,3,1,14,2,15,4,18,2,15,2,14,1,18,1,8,3,10,49,8,9,10,3,8,5,15,2,14,8,15,1,8,5,15,1,14,5,15,1,14,4,3,1,14,7,15,2,14,6,15,1,18,1,8,4,15,1,14,2,3,1,16,3,17,1,14,3,16,7,17,1,14,1,15,1,8,1,15,2,14,2,16,1,14,2,8,2,15,1,14,1,16,5,14,2,16,11,17,1,16,80,17,1,14,1,15,1,14,1,16,5,14,1,16,6,14,2,8,2,14,2,17,1,14,3,3,1,16,2,14,2,15,1,14,3,3,4,16,4,14,4,17,3,14,2,16,3,17,1,14,2,15,2,14,2,16,2,14,4,17,1,16,30,17,5,14,4,17,1,16,9,17,1,14,6,17,1,16,1,17,1,14,17,17,1,16,2,17,1,6,1,7,2,6,1,17,3,16,2,3,2,4,612,19,2,4,6,19,13,4,69,19,25,3,13,18,2,3,1,16,3,14,1,8,1,10,3,18,1,3,5,18,1,4,48,19,2,4,704,},
{4,916,3,2,18,1,4,5,18,1,3,1,16,25,3,2,14,1,3,2,16,1,3,1,4,100,10,1,8,1,10,3,8,1,18,1,14,3,15,1,8,4,18,1,15,1,14,2,18,1,8,3,10,48,8,10,10,4,8,5,15,2,14,8,15,2,8,2,15,2,14,19,15,2,14,6,15,6,14,3,16,3,14,4,17,1,16,7,14,2,15,4,14,4,15,1,8,1,15,1,14,1,16,5,17,1,14,1,16,30,14,1,16,15,14,3,16,42,17,1,14,2,15,1,14,1,17,1,16,4,14,2,16,5,14,2,15,1,8,1,15,1,14,3,15,1,14,3,3,1,14,2,15,2,14,2,3,2,16,6,17,1,14,2,17,2,14,5,16,3,14,2,15,3,14,1,16,2,14,4,17,1,16,30,17,1,14,2,17,1,14,5,16,11,17,1,14,5,17,1,16,1,17,1,14,12,15,3,14,2,17,1,16,2,17,2,6,1,7,1,6,1,17,2,16,3,3,2,4,620,19,5,4,77,19,26,3,6,16,3,3,7,16,2,3,1,8,1,10,3,3,2,16,2,3,3,18,1,4,48,19,2,4,703,},
{4,916,18,1,3,1,18,1,4,5,18,1,3,2,16,25,3,4,16,1,3,1,4,100,18,2,8,2,10,1,8,2,18,1,15,3,8,4,15,2,14,2,7,1,8,2,10,7,8,3,10,39,8,5,10,2,8,3,10,4,8,5,15,3,14,8,15,4,14,29,15,4,14,5,16,2,14,2,15,1,14,2,16,7,17,1,14,3,15,2,14,4,15,1,8,1,15,1,14,1,16,6,17,1,16,30,14,2,16,15,14,3,17,1,16,40,14,3,15,1,14,2,16,4,14,3,16,5,14,7,15,2,14,6,15,2,14,1,3,1,16,7,3,1,14,10,16,2,14,2,15,1,8,1,15,1,14,1,17,1,16,1,14,4,17,1,16,29,17,1,14,9,16,4,17,1,16,6,17,2,14,5,17,2,14,12,15,3,14,2,17,1,16,2,17,6,16,5,3,1,4,619,19,2,4,81,19,27,3,18,18,1,8,1,10,1,8,1,3,2,16,3,3,3,4,2,19,4,4,43,19,2,4,702,},
{4,926,18,1,3,1,16,25,3,2,16,2,3,1,4,100,18,3,8,1,10,2,8,2,18,1,15,2,8,4,15,1,7,1,14,2,7,1,8,2,10,6,8,7,10,13,8,2,10,21,8,4,10,3,8,2,10,4,8,7,15,2,14,34,15,2,14,15,16,1,14,6,16,7,14,3,15,3,14,3,15,1,8,1,15,1,14,2,16,5,17,2,14,3,17,1,16,25,15,1,8,1,14,1,3,1,16,2,3,1,16,11,17,4,16,39,17,1,14,2,15,1,14,2,16,4,17,1,14,2,16,4,3,1,14,6,15,1,8,3,15,1,14,4,15,2,14,1,3,2,16,1,3,2,16,2,17,1,14,12,16,2,14,2,15,2,14,1,17,1,16,2,14,2,17,2,16,20,17,2,16,6,17,1,14,9,17,1,16,3,17,3,16,6,17,1,14,6,17,3,14,16,17,6,16,7,3,1,4,617,19,4,4,82,19,29,3,21,16,3,3,3,4,1,19,6,4,24,19,2,4,16,19,1,3,1,19,1,4,701,},
{4,927,18,1,16,25,3,2,16,2,3,1,4,100,18,4,8,1,10,2,8,1,18,1,15,2,8,4,15,1,14,3,7,1,8,2,10,7,8,4,10,15,8,2,10,32,8,9,15,3,14,33,15,2,14,15,16,2,14,5,16,6,17,1,14,1,15,2,8,2,15,1,14,3,15,1,8,2,15,1,14,1,16,2,14,2,17,2,14,2,7,1,14,2,16,25,14,1,8,1,15,1,14,6,16,53,14,2,15,1,14,2,17,1,16,4,14,1,3,1,16,3,3,1,14,5,15,2,8,1,10,3,8,2,15,5,14,1,3,5,14,11,15,2,14,2,3,1,16,1,17,1,14,4,16,13,17,2,16,12,17,2,16,6,14,10,16,4,17,3,16,6,17,2,14,6,17,1,16,1,17,2,14,14,6,1,17,1,6,1,17,2,16,8,3,1,4,616,19,7,4,2,8,1,10,1,4,76,19,30,3,6,16,4,3,6,16,4,3,5,18,1,4,1,19,6,4,22,19,1,3,4,19,1,4,14,19,1,3,1,19,1,4,701,},
{4,920,19,6,4,2,3,1,16,23,3,3,16,2,3,1,4,100,10,1,18,3,8,1,10,2,8,1,15,1,14,2,15,1,8,3,15,1,14,3,7,1,8,2,10,4,8,2,10,1,8,4,10,49,8,11,15,2,14,1,15,3,14,16,15,3,8,1,15,1,14,7,15,3,14,14,16,2,17,1,14,4,16,7,14,1,8,1,15,4,14,3,15,1,8,2,15,1,14,11,17,1,16,26,14,1,3,2,16,1,3,1,14,3,16,23,17,1,16,29,14,6,16,4,17,1,16,4,3,1,14,3,15,3,8,2,10,5,8,2,15,1,18,2,15,1,14,5,15,2,14,9,15,2,14,3,16,2,14,4,16,12,14,3,17,1,16,18,17,1,14,10,16,4,17,4,16,6,17,2,14,5,16,3,17,2,14,13,6,2,17,2,16,9,3,1,4,618,19,1,4,6,10,1,4,77,19,32,3,6,16,2,3,4,16,7,3,3,18,1,4,3,19,5,4,21,19,2,3,4,19,1,4,14,19,4,4,700,},
{4,920,19,7,4,2,3,1,16,21,14,4,3,1,16,1,3,1,4,100,10,1,18,3,8,1,10,2,8,1,15,1,14,3,8,2,7,3,14,2,7,1,8,3,10,1,8,8,10,24,8,3,10,23,8,10,18,1,15,7,14,11,15,1,14,3,15,1,8,4,15,1,14,6,15,4,14,13,17,1,16,2,14,4,17,1,16,6,14,9,15,2,8,1,15,3,14,1,16,2,17,1,14,4,16,35,3,1,14,1,17,1,16,3,14,5,16,9,17,4,16,30,14,9,17,1,16,6,3,1,14,2,15,2,18,1,8,8,18,3,8,3,18,1,15,2,18,1,8,3,14,13,3,1,16,1,17,1,14,2,3,1,16,11,17,1,14,4,16,18,17,1,14,5,17,2,14,2,16,5,17,1,14,1,17,3,16,5,17,2,14,5,17,1,16,1,17,2,14,11,17,3,6,1,17,4,16,8,3,1,4,1,19,3,4,625,19,1,4,73,19,35,3,9,16,8,3,2,18,1,4,5,19,3,4,20,19,3,3,3,19,1,4,16,19,4,4,699,},
{4,920,19,8,4,1,18,1,3,1,16,19,14,2,15,2,14,1,3,1,16,1,3,1,4,101,18,3,10,3,8,1,15,1,14,3,7,9,8,12,10,21,8,5,10,24,8,10,15,8,14,10,15,1,14,3,15,1,8,1,10,3,8,1,15,1,14,5,15,4,14,7,3,2,14,12,17,1,16,9,14,5,15,1,8,2,15,3,14,1,16,3,14,3,16,6,17,1,16,30,14,5,15,5,14,2,16,6,17,3,14,1,17,1,16,4,17,2,16,24,14,5,15,1,14,3,3,1,16,6,3,1,14,1,15,1,18,1,8,4,18,3,8,2,9,1,8,4,10,3,8,3,10,2,8,1,15,1,14,3,15,1,14,9,17,2,3,2,16,6,17,3,16,2,17,1,14,4,17,1,16,18,17,1,14,5,16,9,17,1,14,2,17,2,16,6,17,3,14,4,17,1,14,13,17,2,16,1,17,2,16,2,17,2,16,2,17,1,16,4,18,1,19,4,4,623,19,3,4,73,19,37,3,7,16,8,3,1,18,1,10,2,4,1,18,1,4,3,19,1,4,20,19,7,4,17,19,6,4,697,},
{4,920,19,8,4,2,18,1,3,2,16,16,17,1,14,2,15,1,14,2,3,1,16,1,3,1,4,98,19,2,4,6,10,2,18,1,14,3,7,9,8,20,10,14,8,3,10,26,8,9,15,8,14,4,3,1,14,2,3,1,14,2,15,1,14,3,15,1,8,1,10,3,8,1,15,1,14,3,15,1,14,2,15,3,14,7,3,3,14,13,16,9,14,3,15,2,8,2,15,2,8,1,15,1,16,3,14,3,16,6,17,1,16,31,14,1,15,1,8,8,15,1,14,1,17,1,16,6,17,3,16,4,17,2,16,23,17,1,14,5,15,1,14,3,16,7,14,1,15,1,8,10,10,2,8,4,10,9,8,1,14,2,15,1,14,12,3,1,17,1,16,5,17,1,14,4,3,1,17,1,14,4,16,19,17,1,14,5,16,9,14,2,17,3,16,7,17,2,14,18,17,1,16,6,6,2,17,3,16,3,3,1,18,1,19,4,4,613,10,1,4,9,19,3,4,73,19,38,3,5,16,8,3,2,18,1,10,1,18,4,4,21,19,7,4,19,19,3,3,1,19,2,4,697,},
{4,920,19,8,4,4,18,1,3,1,16,16,17,1,14,3,3,2,16,1,3,1,4,14,19,1,4,83,19,5,4,3,10,2,18,1,14,3,7,9,8,20,10,5,8,3,10,7,8,2,10,28,8,7,18,1,15,2,8,4,15,2,14,3,3,2,14,9,15,1,8,1,10,2,8,2,15,1,14,1,15,2,14,3,15,2,14,7,3,3,14,14,16,9,14,3,15,5,8,1,15,1,14,1,16,2,14,4,16,5,17,2,16,30,14,1,15,1,8,1,9,1,8,1,15,1,8,1,9,1,10,2,8,1,15,1,14,1,17,1,16,13,17,1,14,1,16,22,17,1,14,8,3,1,16,7,14,1,8,1,10,3,8,4,9,1,10,4,9,1,8,3,10,9,8,1,15,1,14,1,15,1,14,3,3,3,14,6,3,1,16,5,14,11,17,1,16,20,17,1,14,3,17,1,16,9,14,2,17,3,16,9,17,2,14,6,17,3,14,7,17,1,16,6,6,1,7,1,6,1,17,1,16,4,3,1,4,1,19,4,4,623,19,1,4,75,19,38,3,7,16,6,3,2,18,3,3,3,18,1,4,19,19,7,4,20,19,2,3,3,19,3,4,695,},
{4,922,19,6,4,5,18,1,3,1,16,17,17,2,3,1,16,2,3,1,18,1,4,97,19,6,4,2,10,2,8,1,14,3,7,10,8,15,10,9,8,3,10,39,8,13,15,2,14,2,3,2,14,9,15,1,8,2,10,2,8,1,15,3,14,14,3,2,14,3,15,3,14,8,16,10,17,1,14,2,15,4,8,2,14,2,17,1,14,4,16,6,17,1,16,31,14,1,8,2,14,3,15,1,8,4,14,2,17,1,16,13,14,1,17,1,16,21,17,1,14,7,16,9,14,1,8,1,10,2,9,1,8,3,9,1,10,5,9,1,8,1,18,1,8,1,10,9,8,2,18,1,15,1,14,3,3,4,14,5,3,1,16,4,3,1,14,8,17,3,16,22,17,1,14,3,16,8,14,3,17,3,16,9,17,2,14,5,17,4,14,6,17,3,16,5,6,1,7,1,6,1,17,1,16,3,3,1,18,1,4,1,19,4,4,699,19,42,3,7,16,1,3,3,18,3,3,3,18,1,4,19,19,3,4,1,19,2,4,21,19,3,3,2,19,7,4,30,19,3,4,658,},
{4,925,19,2,4,7,18,1,3,2,16,20,3,1,18,1,4,97,19,6,4,2,10,2,18,1,14,3,7,11,8,4,15,1,14,1,7,1,8,6,10,10,8,3,10,38,8,15,15,1,14,14,15,1,8,1,10,2,8,2,15,1,14,8,15,1,14,11,15,3,14,9,16,5,3,1,16,4,17,1,14,1,15,2,14,2,15,3,14,2,17,1,14,4,16,3,17,3,14,1,16,31,14,6,15,1,8,1,9,1,8,1,15,1,14,2,17,1,16,12,17,2,16,22,14,7,16,9,3,1,18,1,9,1,10,1,9,1,8,3,10,6,9,1,8,2,10,8,8,5,15,1,14,12,3,1,16,1,3,2,14,2,3,1,14,4,17,5,16,24,17,1,14,2,16,8,14,3,17,3,16,10,17,1,14,5,17,4,14,6,17,4,16,3,17,2,6,1,17,1,16,4,3,1,4,1,19,5,4,605,18,5,4,89,19,42,3,11,18,3,3,3,18,1,4,46,19,3,3,9,19,2,4,27,19,1,3,3,19,1,4,657,},
{4,935,18,1,3,1,16,18,3,3,18,1,4,97,19,7,4,2,18,2,14,4,7,2,6,2,7,1,6,2,7,4,8,3,14,3,8,7,10,9,8,2,10,4,8,2,10,31,8,14,9,2,8,2,15,1,14,10,3,2,14,2,15,1,8,1,10,1,8,2,15,1,14,3,15,1,14,2,15,3,14,10,15,2,14,12,17,1,16,9,14,1,15,2,14,4,15,2,14,1,17,1,14,4,16,2,17,1,14,4,17,1,16,12,17,1,14,1,17,1,16,16,14,2,15,1,14,2,15,1,8,1,10,2,8,1,15,1,14,3,17,1,16,34,14,6,17,1,16,10,14,1,18,1,10,2,9,1,8,2,9,1,10,15,8,3,10,2,8,1,14,12,3,1,16,2,3,1,14,3,3,2,17,3,16,7,17,1,14,1,16,21,14,2,17,1,16,3,17,2,16,2,14,3,17,3,16,10,17,1,14,5,17,3,14,6,17,2,16,1,17,9,16,4,3,1,4,1,19,4,4,605,18,10,4,85,19,42,3,7,16,2,3,2,18,3,14,1,3,2,18,1,10,2,4,44,19,2,3,13,19,1,4,25,19,1,3,4,19,1,4,656,},
{4,936,18,1,3,1,16,16,14,2,3,1,14,1,3,1,4,4,19,5,4,88,19,7,4,3,18,1,14,4,7,1,6,6,7,6,14,4,7,1,8,6,10,15,8,3,10,31,8,12,10,3,8,2,15,1,14,4,15,2,14,8,15,1,8,4,15,1,14,2,15,1,14,4,15,3,14,24,16,2,14,2,16,5,14,4,17,2,14,3,16,7,14,7,17,1,16,8,17,1,14,5,17,1,16,16,14,1,15,1,14,4,15,4,14,12,17,1,16,25,17,1,14,6,16,9,3,1,14,1,8,1,10,3,8,3,9,1,10,14,8,3,10,2,8,1,18,1,14,4,15,2,14,6,3,2,14,4,3,2,17,2,16,6,17,2,14,2,17,1,16,20,14,2,17,1,16,3,3,1,14,6,17,2,16,12,17,1,14,4,17,3,14,6,17,6,16,9,3,1,4,1,19,5,4,604,18,2,3,1,18,7,4,87,19,43,3,6,16,1,3,4,18,2,14,2,18,1,8,2,18,1,4,43,19,4,3,12,19,2,4,23,19,1,3,4,19,1,4,656,},
{4,937,18,1,3,1,16,12,14,7,3,1,18,1,4,3,19,5,4,90,19,5,4,2,18,2,3,1,14,8,7,6,14,4,17,1,14,2,8,4,10,3,8,4,10,46,8,6,9,1,8,3,10,3,8,2,15,1,14,4,15,1,8,1,15,1,14,1,15,1,14,6,15,2,8,4,15,2,14,1,3,2,14,1,15,1,8,1,15,1,14,11,17,2,14,6,17,1,16,2,17,1,14,1,16,1,14,4,16,3,14,5,17,1,16,10,17,1,14,2,15,1,14,1,15,4,14,1,16,6,17,1,14,8,16,15,3,1,14,1,17,1,16,4,14,5,15,4,14,1,15,4,14,1,16,27,17,1,14,5,16,5,3,1,14,4,18,1,10,4,8,1,18,2,8,1,10,15,8,1,10,3,8,2,18,1,14,3,15,2,14,14,3,1,14,1,17,2,16,3,17,1,14,4,17,1,16,20,17,2,16,4,3,1,14,5,17,3,16,12,17,1,14,3,17,1,14,2,17,2,14,4,17,6,16,9,3,1,4,2,19,4,4,605,18,1,3,4,18,2,4,91,19,46,3,2,16,3,3,3,18,2,8,4,18,2,4,41,19,7,3,10,19,2,4,23,19,1,3,4,19,1,4,656,},
{4,938,18,1,3,1,16,11,14,7,3,2,4,2,19,6,4,4,18,1,3,1,18,1,4,83,19,5,4,2,18,2,3,2,14,8,7,5,14,4,17,1,14,1,7,1,8,4,10,2,8,5,10,22,8,1,10,23,8,6,10,1,8,3,10,3,8,2,15,1,14,4,15,1,8,1,15,5,14,5,15,2,8,4,15,1,14,1,3,2,14,2,15,1,14,8,3,1,14,2,16,3,14,7,16,5,14,9,16,2,17,2,16,11,14,2,15,5,8,1,14,1,17,1,16,5,14,2,15,1,14,1,17,1,16,2,17,1,14,2,16,24,17,1,14,1,15,1,8,3,15,2,8,3,14,2,16,4,3,1,14,3,16,18,17,1,14,6,17,1,14,3,15,1,8,3,18,1,8,1,9,1,10,2,8,1,18,3,9,1,10,21,8,1,14,19,3,1,14,3,3,1,14,7,17,2,16,7,17,2,16,7,17,2,16,1,17,1,16,5,3,1,14,5,17,1,16,1,17,1,16,12,17,1,14,2,17,2,14,2,17,3,6,1,14,2,17,1,16,1,17,4,16,8,3,1,18,1,4,1,19,5,4,603,18,3,3,3,18,2,4,92,19,47,3,2,16,4,3,1,18,1,8,5,18,3,4,40,19,9,3,9,19,1,4,22,19,3,3,3,19,2,4,655,},
{4,939,18,1,3,1,16,11,17,1,14,5,3,2,4,2,19,6,4,4,3,3,18,1,4,82,19,6,4,2,18,2,3,1,14,4,7,3,14,1,7,7,14,4,8,11,10,26,8,1,10,21,8,5,10,1,8,4,10,2,8,2,15,1,14,4,15,7,14,5,15,2,8,1,15,3,8,1,15,1,14,9,15,1,14,6,3,1,17,2,14,11,3,1,14,7,16,5,17,1,14,1,17,1,16,9,14,2,15,5,8,1,15,1,14,9,17,1,16,4,17,1,14,1,16,25,14,2,8,3,15,6,14,11,3,1,16,14,14,9,15,1,8,6,18,4,14,3,18,1,8,1,10,22,8,1,15,1,14,5,3,1,14,11,3,4,14,5,17,1,16,1,17,3,16,17,17,5,16,4,3,1,14,6,17,4,16,4,17,1,16,6,17,1,14,1,17,2,14,2,17,4,14,2,17,1,16,2,17,3,16,8,3,1,18,1,4,1,19,5,4,602,18,3,3,1,18,3,4,94,19,47,3,3,16,2,3,2,8,2,10,1,8,3,18,1,3,1,18,1,4,41,19,8,3,9,19,2,4,21,19,2,3,4,19,2,4,655,},
{4,940,18,2,3,1,16,10,14,4,16,2,3,2,4,1,19,3,4,1,19,1,4,5,18,1,3,3,4,82,19,6,4,3,18,3,14,7,7,9,14,1,7,1,8,10,10,26,8,2,10,24,8,7,10,2,8,2,15,1,14,5,15,6,14,5,15,3,14,3,15,1,8,1,15,1,14,7,15,2,14,28,16,5,14,4,16,9,14,4,15,2,8,5,15,2,14,4,17,1,16,5,14,6,3,1,16,20,17,1,14,1,8,2,14,5,15,2,14,6,15,4,14,6,3,1,16,8,14,2,16,3,3,1,14,2,15,1,8,2,10,2,8,2,15,4,14,1,3,3,14,1,8,1,10,6,9,1,10,15,8,1,18,1,14,5,3,2,14,10,3,3,14,6,17,1,16,2,3,1,17,2,16,15,17,4,14,3,17,1,16,2,3,1,14,10,17,6,16,5,17,3,14,3,17,3,14,3,17,2,16,2,17,3,16,6,3,1,18,1,4,1,19,5,4,597,19,5,18,3,3,1,18,1,4,97,19,47,3,4,16,1,3,2,18,1,8,1,10,1,8,2,18,2,3,2,18,1,4,40,19,11,3,7,19,2,4,19,19,3,3,4,19,3,4,654,},
{4,942,18,1,3,1,16,9,14,4,17,1,16,1,3,3,4,10,18,1,3,1,16,1,3,1,18,1,4,82,19,7,4,3,18,1,14,8,7,8,8,12,10,26,8,2,10,5,8,1,10,2,8,3,10,13,8,11,18,1,15,1,14,5,15,6,14,11,15,4,14,5,15,1,14,29,16,5,14,2,15,1,14,4,17,1,16,6,17,1,14,2,15,1,8,1,10,3,8,2,15,1,14,3,15,2,14,1,17,1,16,3,17,1,14,3,15,3,14,2,16,21,14,15,15,2,8,7,15,2,14,3,3,2,16,9,14,3,8,2,10,3,8,1,15,1,14,5,3,3,15,1,9,1,10,4,9,1,8,6,10,10,8,1,18,2,14,3,3,2,14,11,3,3,14,6,3,1,16,2,3,1,14,1,17,1,16,11,17,4,14,2,17,1,14,3,3,5,14,3,3,2,14,6,17,6,16,5,17,1,14,5,17,2,14,4,17,1,16,3,17,3,16,5,3,1,4,1,19,5,4,600,19,3,18,4,4,98,19,48,3,6,18,1,8,1,10,1,8,2,18,2,3,2,18,1,4,40,19,14,3,5,19,5,4,15,19,3,3,3,19,5,4,653,},
{4,943,18,1,3,1,16,8,14,4,17,2,16,2,3,2,18,1,4,8,18,1,3,1,16,1,3,2,18,1,4,83,19,6,4,3,18,2,14,1,3,1,14,9,7,2,8,14,10,25,8,1,10,5,8,3,10,16,8,5,15,1,18,1,8,6,18,1,15,1,14,4,15,2,8,3,15,2,14,11,15,3,14,5,15,1,14,29,16,5,14,2,15,1,8,1,15,3,14,3,17,1,16,5,14,2,8,1,10,3,8,1,15,1,14,2,17,1,14,5,17,1,16,1,17,1,14,4,8,3,15,1,14,1,3,2,14,5,16,19,17,1,14,10,15,2,8,1,9,1,10,6,9,1,8,2,15,1,14,3,16,7,3,1,14,2,15,1,8,2,10,2,8,2,14,6,3,3,15,1,9,1,10,3,8,4,18,2,8,1,10,9,8,1,18,3,14,16,3,3,14,8,3,2,14,1,17,5,16,4,17,3,14,11,3,4,14,2,3,3,14,6,17,6,16,5,17,1,14,7,17,2,14,2,17,1,16,3,17,3,16,5,18,1,19,5,4,602,19,4,4,100,19,48,3,7,18,1,8,2,18,4,3,2,19,1,4,38,19,17,3,7,19,6,4,8,19,10,3,2,19,2,4,652,},
{4,944,18,1,16,6,14,1,17,3,14,3,17,1,16,2,3,4,18,1,4,6,18,1,3,1,16,2,3,2,4,84,19,6,4,3,18,2,3,1,14,9,7,2,8,15,10,1,8,3,10,25,8,1,18,1,8,1,10,17,8,2,18,1,8,2,15,1,18,1,8,7,15,1,14,4,15,2,8,4,15,1,14,3,3,2,14,4,17,1,14,2,15,2,14,14,15,2,14,13,3,1,14,5,16,5,14,2,15,1,8,3,15,2,14,4,16,5,14,1,15,1,8,1,10,2,8,1,15,1,14,1,16,4,17,1,14,2,17,1,14,5,15,1,8,3,14,2,16,2,14,2,15,2,14,2,16,6,14,3,16,10,17,1,14,11,15,1,8,2,9,1,10,7,9,1,8,1,14,2,16,8,14,3,15,1,8,1,10,3,8,1,14,3,15,2,14,1,3,3,14,1,18,1,9,1,10,2,9,1,8,3,18,2,8,1,10,9,8,1,18,1,14,4,18,4,15,1,14,27,17,3,16,3,17,2,14,11,3,4,14,2,3,3,14,6,17,1,16,3,17,2,16,5,17,1,14,7,17,5,16,4,17,3,16,3,3,1,4,1,19,5,4,593,19,2,4,111,19,48,3,7,14,1,15,2,18,5,3,2,19,1,4,37,19,18,3,9,19,15,3,2,19,4,3,3,19,2,4,651,},
{4,942,19,1,4,2,3,2,16,3,3,1,14,1,16,3,17,1,14,3,17,1,3,2,16,3,3,1,18,1,4,4,18,2,3,1,16,3,3,1,18,1,4,83,19,8,4,2,18,2,14,7,7,4,8,19,10,25,8,1,18,1,8,1,10,16,8,2,18,1,8,3,15,1,18,1,8,8,15,1,14,3,15,1,8,2,10,2,8,2,14,2,3,4,14,3,17,2,14,5,17,1,14,11,15,2,14,19,16,2,14,6,15,1,8,1,15,1,14,7,16,4,14,3,15,2,14,2,16,10,14,5,8,2,15,1,14,1,16,4,14,3,15,1,8,1,14,1,16,5,14,1,15,3,14,1,16,9,14,12,15,2,8,2,9,1,10,6,9,1,15,1,14,3,16,6,14,3,15,1,8,1,10,3,8,1,14,6,3,4,14,1,18,1,8,1,9,3,8,5,10,9,8,1,18,1,14,3,18,6,14,2,3,2,14,3,3,1,14,15,17,2,14,3,17,2,16,4,17,1,14,11,3,3,14,4,3,2,14,6,17,1,16,4,17,2,16,4,17,1,14,7,16,3,17,3,16,2,17,1,14,2,3,1,16,2,3,1,18,1,4,1,19,5,4,584,19,1,4,1,19,1,4,119,19,47,3,9,14,2,18,5,3,2,19,1,4,37,19,18,3,16,19,3,3,9,19,1,3,6,19,1,4,650,},
{4,942,19,4,3,1,16,3,3,2,16,3,17,1,14,1,7,1,14,2,3,1,16,5,3,1,18,1,10,2,9,1,18,1,14,1,16,5,3,1,18,2,4,7,18,1,4,73,19,9,4,2,18,2,14,5,15,2,8,4,7,2,8,16,10,25,8,2,10,16,8,7,15,1,18,1,8,4,10,2,8,2,15,1,14,2,15,2,8,2,10,3,8,1,14,2,3,4,14,9,16,3,14,31,16,1,17,1,14,4,17,1,14,4,17,1,16,3,14,9,16,2,3,1,16,14,14,3,15,1,8,1,15,1,14,1,16,6,14,2,15,1,14,1,16,5,17,1,14,1,15,2,14,2,16,8,14,14,15,3,8,2,10,5,8,1,15,3,14,1,3,1,16,3,3,1,14,2,15,1,8,1,10,4,8,1,15,1,14,10,15,1,8,2,9,1,10,15,8,1,18,2,14,2,18,6,14,2,3,3,14,2,3,2,14,14,17,6,16,6,17,1,14,9,3,4,14,3,3,3,14,5,3,1,17,1,16,4,17,3,16,3,17,1,14,7,16,4,3,3,16,1,17,1,14,2,3,1,16,2,3,1,4,1,19,5,4,579,19,3,4,126,19,46,3,9,14,1,18,6,3,2,19,1,4,37,19,18,3,35,19,2,4,649,},
{4,942,19,4,4,1,3,2,16,6,17,1,14,1,7,2,14,2,3,1,16,5,14,4,17,1,16,6,3,3,18,1,4,6,18,2,4,73,19,8,4,3,18,3,14,2,15,1,8,6,7,2,8,13,10,39,8,3,10,4,8,8,18,1,8,4,10,3,8,1,15,1,14,2,15,1,8,3,10,2,8,2,14,2,3,4,14,9,16,3,14,20,3,2,14,2,15,1,14,5,16,2,17,1,14,3,17,1,16,10,14,2,15,2,14,3,16,20,17,1,14,3,16,8,14,1,15,1,14,1,17,1,16,5,17,1,14,1,15,1,8,1,7,1,14,1,17,1,16,6,14,19,15,1,8,1,9,3,8,2,15,1,8,1,15,1,14,1,3,1,16,2,14,2,15,1,8,2,10,3,8,3,15,1,14,1,17,1,16,2,14,3,15,2,8,4,9,1,10,6,8,3,10,6,8,1,18,9,14,2,3,9,14,12,16,2,17,3,16,7,17,1,14,11,3,2,14,4,3,2,14,6,3,1,16,1,17,6,16,2,17,2,14,6,17,1,16,5,3,4,14,2,3,3,4,1,19,5,4,710,19,45,3,10,18,6,19,4,4,36,19,18,3,36,19,1,4,649,},
{4,942,19,4,4,2,3,1,16,5,17,1,6,2,14,4,3,2,16,14,3,5,4,6,18,2,4,74,19,7,4,4,18,2,8,24,10,23,8,1,10,7,18,2,10,4,8,1,18,3,8,2,10,4,8,16,15,1,14,3,8,6,15,1,14,16,17,1,16,1,17,1,14,2,15,2,14,15,3,1,16,1,14,2,15,1,14,5,16,2,17,1,14,3,17,1,16,10,14,2,15,3,14,2,3,1,16,30,17,1,14,1,8,1,15,1,14,1,16,6,14,1,15,1,8,2,7,1,14,1,17,1,16,5,17,4,16,2,17,1,14,4,15,1,14,10,15,5,8,2,14,2,3,1,14,3,15,1,8,4,15,5,14,1,17,1,16,2,14,2,15,2,8,4,18,2,8,1,9,2,10,3,8,3,10,7,8,2,18,2,14,3,18,3,14,3,3,8,14,11,16,3,17,2,16,7,17,1,14,11,3,1,14,5,3,4,14,8,17,4,16,2,17,2,14,6,17,1,16,6,3,2,14,3,3,2,18,1,4,1,19,4,4,711,19,45,3,10,18,3,3,3,18,1,19,3,4,36,19,17,3,36,19,1,4,650,},
{4,942,19,5,4,1,18,1,3,1,16,4,17,1,6,1,17,1,6,2,14,4,3,2,16,11,3,1,14,2,3,3,18,1,4,81,19,7,4,5,10,3,8,4,15,1,8,16,10,24,8,2,10,4,8,1,10,1,18,1,10,5,8,1,18,4,8,1,10,5,8,1,10,1,8,13,15,1,14,3,15,1,8,5,15,1,14,7,3,1,14,6,15,1,14,7,15,1,14,5,3,4,14,6,3,1,16,1,14,2,15,3,14,3,16,3,14,3,16,12,14,2,15,1,14,6,16,5,17,1,14,3,16,19,14,2,15,2,17,1,16,6,17,1,14,1,7,5,14,1,17,4,16,7,17,1,14,2,15,2,14,4,3,2,16,4,3,4,14,1,15,2,14,7,15,2,14,2,3,2,14,10,15,1,8,2,10,1,8,1,18,1,15,1,18,3,8,1,9,1,10,13,8,1,18,1,14,4,18,3,14,4,3,6,14,2,15,2,14,2,3,3,14,2,17,1,16,1,17,4,16,5,17,1,14,18,3,5,14,9,17,7,14,5,16,7,3,2,14,2,3,3,4,1,19,5,4,712,19,44,3,11,18,1,3,4,19,4,4,36,19,22,3,3,19,12,3,16,19,1,4,650,},
{4,949,3,2,16,3,17,4,6,2,14,5,17,1,16,10,14,4,3,2,18,1,4,82,19,5,4,6,10,4,8,2,15,1,7,2,8,15,10,17,8,2,10,5,8,3,10,4,8,1,10,5,8,2,18,3,8,2,10,7,8,13,15,1,14,3,15,1,8,5,15,2,14,6,3,2,17,2,14,2,15,1,8,2,15,1,14,12,3,3,14,7,3,1,14,3,15,2,14,3,16,3,14,2,17,1,16,7,17,1,16,5,14,4,3,1,14,4,16,3,14,2,17,1,16,20,14,5,16,10,17,1,7,4,14,2,17,1,16,9,14,6,3,3,16,10,3,1,14,4,3,2,14,4,3,1,16,5,17,1,14,5,17,1,14,2,15,1,8,1,10,1,8,1,18,1,14,4,18,1,8,1,10,13,8,1,18,1,14,5,18,4,14,3,3,5,14,2,15,2,14,2,3,3,14,2,17,11,14,19,3,3,16,1,3,1,14,11,17,5,14,4,3,2,16,6,3,6,18,1,4,1,19,4,4,713,19,44,3,16,19,4,4,36,19,41,3,13,4,650,},
{4,950,3,1,16,6,17,2,6,2,14,4,17,1,16,11,14,3,3,3,18,1,4,83,19,3,4,6,10,5,8,3,7,2,8,2,7,1,8,11,10,24,8,3,10,13,8,2,10,8,8,14,15,1,14,4,15,1,18,1,8,7,15,2,14,2,3,1,16,4,14,1,15,1,8,2,15,2,14,13,3,2,14,10,15,2,14,3,17,2,14,1,17,3,16,6,17,1,14,1,17,1,16,10,14,8,17,1,16,19,14,5,17,1,16,4,17,2,16,5,17,1,14,1,7,1,14,4,17,1,16,7,17,1,14,6,3,6,16,10,3,1,16,3,3,1,14,3,16,8,14,3,17,1,16,3,14,1,8,2,10,1,8,1,14,2,3,1,14,1,18,2,10,13,8,1,18,1,14,5,18,4,15,1,14,2,3,4,14,7,3,2,14,4,17,5,14,17,3,1,14,7,3,1,16,2,3,1,14,13,17,3,14,4,3,2,16,7,3,5,18,1,4,1,19,3,4,714,19,45,3,7,16,2,3,6,19,5,4,35,19,28,4,11,19,5,3,11,4,649,},
{4,950,18,1,3,1,16,5,17,1,6,2,14,3,7,1,14,1,17,1,16,2,17,2,16,3,17,1,16,4,17,1,14,2,3,2,18,1,4,94,10,5,8,2,7,7,8,8,10,24,8,3,10,4,8,1,10,18,8,9,18,2,8,3,15,3,14,3,15,1,8,2,10,3,8,3,15,1,14,3,3,1,16,3,14,2,15,5,14,3,3,1,17,1,14,7,3,3,14,9,15,2,14,7,17,2,16,19,3,1,14,3,15,3,14,1,16,10,14,3,16,8,14,5,17,3,6,1,14,1,6,1,17,1,16,8,17,2,14,1,17,1,16,6,17,1,14,4,15,1,18,1,15,1,14,8,3,2,16,10,3,1,14,3,3,1,16,8,17,1,14,1,16,4,3,1,15,1,8,1,10,1,8,1,18,1,14,3,18,2,10,4,8,3,10,6,8,1,18,2,14,4,18,5,14,2,3,2,14,15,17,5,14,14,3,1,14,10,3,4,14,13,17,1,16,2,14,4,3,4,16,5,17,1,3,1,16,1,3,1,18,1,4,719,19,46,3,5,16,6,3,2,18,1,19,2,4,3,19,1,4,35,19,28,4,13,19,4,3,10,4,648,},
{4,951,3,1,16,6,17,1,6,1,14,5,17,1,16,1,17,1,14,2,17,1,16,1,17,3,16,4,3,4,18,1,4,97,10,2,8,2,15,1,14,2,7,4,8,12,10,21,8,2,10,4,8,2,10,18,8,8,18,3,8,2,15,4,14,1,15,1,8,2,10,5,8,2,15,1,14,4,16,3,17,1,14,9,16,2,14,8,3,1,14,21,16,20,14,3,15,3,14,1,16,9,17,1,14,1,15,2,14,1,17,1,16,8,14,10,17,1,16,9,14,2,16,6,14,3,17,1,14,2,15,1,14,3,15,2,8,2,15,1,14,3,17,1,3,1,16,9,14,3,3,1,16,2,3,1,16,12,14,2,8,3,18,1,15,2,18,1,8,1,10,3,9,1,18,3,8,1,10,5,8,2,18,1,14,5,18,3,14,12,3,2,14,6,17,6,16,4,17,2,14,4,17,1,3,6,14,6,3,4,14,14,17,3,14,6,3,3,16,4,3,2,16,1,3,1,4,721,19,45,3,6,16,4,3,3,19,3,4,2,19,3,4,34,19,29,4,13,19,5,3,9,4,647,},
{4,952,3,1,16,6,14,1,16,1,17,1,14,2,17,4,14,2,6,1,17,4,16,6,3,3,18,6,4,84,19,4,4,4,10,1,8,1,18,2,14,2,7,4,8,11,10,48,8,8,15,3,18,2,15,5,18,1,8,2,10,3,8,3,15,1,14,6,17,1,16,4,14,7,3,3,14,30,16,8,17,2,16,11,17,1,14,1,8,1,15,1,14,1,16,9,14,4,15,2,14,2,17,2,16,4,17,1,14,5,16,2,14,6,16,6,14,1,17,1,16,5,17,2,14,3,17,1,16,1,14,3,15,2,8,2,15,1,14,1,17,1,16,2,17,1,14,1,16,9,14,3,16,3,14,2,16,13,14,1,8,6,10,3,8,2,18,3,9,1,10,7,8,1,18,1,14,22,3,6,14,3,17,1,16,7,17,2,16,8,3,1,14,6,3,2,17,1,14,4,3,2,14,6,17,5,6,1,14,1,7,3,14,3,3,2,16,3,3,4,18,1,4,722,19,43,3,13,19,10,4,32,19,31,4,3,19,3,4,15,19,1,3,5,19,3,4,643,},
{4,952,18,1,3,1,16,9,17,1,16,3,17,4,16,2,17,1,14,2,17,1,16,8,3,5,4,84,19,5,4,3,18,5,14,1,7,5,8,11,10,46,8,2,10,2,8,7,18,5,8,1,15,1,18,1,8,3,10,2,8,3,18,1,15,2,14,6,16,4,3,3,14,5,3,1,14,19,17,1,16,1,14,11,17,1,16,6,14,3,16,11,17,1,14,3,16,8,17,1,6,1,16,2,17,1,14,2,7,1,14,1,6,1,17,3,16,3,14,5,16,2,14,3,15,1,14,3,16,5,14,3,17,1,16,1,17,5,14,2,17,1,16,4,17,1,14,1,15,2,14,1,17,1,16,4,17,1,16,9,14,4,17,1,14,4,16,13,14,1,8,2,10,1,8,2,10,2,8,3,18,6,8,1,10,4,8,1,18,2,14,16,3,1,14,4,3,6,14,3,3,1,16,18,14,5,3,3,14,5,3,3,14,5,17,6,14,1,7,5,14,1,3,2,16,2,3,5,4,724,19,40,3,12,19,14,4,30,19,33,4,1,19,5,4,16,19,6,3,3,4,641,},
{4,953,18,1,3,1,16,18,17,1,7,2,14,1,16,12,3,1,4,84,19,6,4,3,18,5,7,7,8,9,10,10,8,1,10,34,8,3,10,3,8,13,15,1,18,1,8,2,10,4,8,2,18,1,15,2,14,4,3,2,16,1,3,2,14,2,3,6,14,6,3,1,14,27,17,1,16,1,14,2,17,1,14,4,16,13,17,1,16,10,17,1,16,7,17,4,16,5,14,12,16,5,14,4,17,7,14,1,17,1,16,7,17,1,14,1,17,1,16,14,14,1,15,2,14,4,15,1,8,1,7,1,16,12,17,1,15,1,8,1,10,5,8,2,10,1,9,1,18,5,10,5,8,1,18,2,14,2,18,1,14,2,15,1,18,1,15,2,14,6,3,4,14,4,3,3,14,4,3,1,16,17,3,1,14,5,3,3,14,15,17,2,16,1,17,2,14,1,7,4,14,1,3,1,16,2,3,6,4,724,19,40,3,12,19,14,4,30,19,36,4,25,19,1,3,2,19,1,4,640,},
{4,954,18,1,16,18,17,1,7,2,17,1,16,12,18,1,4,84,19,7,4,3,18,4,7,7,8,3,10,3,8,3,10,2,8,2,10,5,8,2,10,20,8,4,10,9,8,4,10,3,8,13,15,2,18,1,8,2,10,3,8,3,18,1,15,3,14,9,3,6,14,9,15,3,14,32,16,41,14,12,16,4,17,1,14,6,17,4,14,2,16,9,17,1,16,14,17,1,14,1,15,3,14,3,7,2,16,13,14,1,8,1,10,4,8,1,10,5,18,4,10,5,8,1,18,8,8,2,15,1,14,1,3,2,14,1,3,7,14,11,3,1,16,14,3,2,14,6,3,3,14,16,17,5,14,1,7,2,14,2,3,8,4,725,19,41,3,10,19,13,4,32,19,35,4,27,3,3,4,640,},
{4,954,18,1,3,1,16,11,17,2,16,5,14,2,16,12,3,1,18,1,4,84,19,7,4,3,18,5,7,2,14,3,7,1,18,1,8,2,10,4,8,1,10,3,8,2,10,5,8,2,10,6,8,1,10,13,8,4,10,10,8,4,10,2,8,13,15,3,8,3,10,3,8,3,15,3,14,9,3,5,14,9,15,4,14,14,17,2,14,16,17,2,14,1,17,1,16,32,17,1,16,4,14,9,15,2,14,1,17,1,16,4,14,1,15,3,14,4,17,1,14,3,17,1,16,8,14,2,17,1,16,13,14,1,15,4,14,2,17,1,16,15,15,1,10,3,8,2,10,5,8,1,18,3,10,2,18,1,10,2,8,1,18,6,15,1,18,3,15,1,14,2,3,14,14,6,3,5,16,9,3,2,14,7,3,3,14,17,17,4,14,1,7,1,14,2,3,4,18,3,3,2,4,726,19,40,3,8,19,14,4,31,19,36,4,29,19,2,4,38,18,2,4,600,},
{4,955,18,1,3,1,16,10,17,3,16,3,17,3,16,3,17,1,16,7,3,1,14,1,10,1,4,84,19,8,4,4,18,3,7,2,14,4,18,1,8,3,10,8,8,1,10,12,8,2,10,28,8,3,10,1,8,14,15,3,18,1,8,9,15,3,14,9,3,3,14,9,15,2,8,2,15,1,14,13,17,1,16,1,17,1,14,20,16,33,17,1,16,3,14,3,15,1,14,5,15,3,14,1,16,4,14,1,15,3,14,9,16,8,17,1,14,3,16,13,14,2,15,1,14,2,17,1,16,7,17,3,6,1,16,6,15,1,8,1,10,2,8,1,10,5,8,1,18,3,10,2,18,1,10,2,8,1,18,6,14,8,3,14,14,7,3,3,16,5,3,5,14,8,3,3,14,9,3,2,14,4,17,1,14,1,6,2,17,3,14,3,3,3,18,4,3,1,18,1,4,727,19,60,4,31,19,4,4,1,19,31,4,66,18,3,3,2,18,1,4,600,},
{4,955,18,1,3,2,16,13,17,1,6,2,17,3,14,3,16,7,3,1,15,1,10,1,4,86,19,7,4,5,18,1,15,1,7,5,8,4,10,21,8,2,10,30,8,16,15,4,18,1,8,8,18,2,15,2,14,16,15,2,14,2,15,1,8,3,15,1,14,13,16,1,17,2,14,19,17,1,16,18,17,1,16,14,17,1,16,3,17,1,14,2,15,2,14,5,15,2,14,1,16,4,17,1,14,1,15,2,14,10,16,9,17,2,16,14,14,4,16,8,17,1,6,1,14,2,17,1,16,5,17,1,15,1,8,1,10,4,8,4,18,3,10,2,8,1,10,2,8,1,18,5,14,9,3,5,14,1,3,3,16,3,3,2,14,7,3,2,16,3,17,1,3,1,14,1,3,5,14,9,3,3,17,2,14,6,3,2,14,3,17,3,6,2,17,6,3,3,18,1,8,1,18,2,3,1,4,675,19,4,4,49,19,59,4,32,19,3,4,2,19,31,4,63,18,2,3,6,18,1,4,600,},
{4,956,18,1,3,1,16,13,17,1,6,1,14,5,15,1,14,2,16,6,3,1,15,1,9,1,10,1,4,85,19,9,4,3,18,2,15,2,14,2,15,1,18,2,8,3,10,20,8,2,10,31,8,2,10,1,8,12,15,6,8,11,15,1,14,9,15,2,14,4,15,3,14,1,15,1,8,3,15,1,14,7,16,1,14,4,17,1,16,1,17,1,14,20,16,18,17,1,14,1,17,1,16,19,14,2,15,1,14,2,17,1,14,2,15,2,14,1,16,5,17,1,14,7,17,1,14,5,16,9,17,2,16,14,17,1,14,2,16,8,17,1,14,3,17,1,16,6,17,1,15,1,8,1,10,2,9,1,8,1,18,5,9,1,10,6,8,3,18,2,14,9,3,3,14,3,3,3,16,3,3,2,14,3,15,1,14,3,3,2,16,2,3,1,14,18,3,1,17,1,16,2,17,1,14,5,3,2,14,3,17,7,16,1,17,1,16,2,3,3,18,2,3,2,18,1,4,674,19,7,4,5,19,3,4,39,19,59,4,32,19,35,4,58,19,1,4,4,3,7,18,2,4,601,},
{4,951,19,4,4,2,18,1,3,1,16,6,3,1,16,6,17,1,14,5,8,1,15,1,14,1,16,6,3,1,15,1,18,3,4,84,19,11,4,2,18,2,15,1,18,2,14,1,18,2,8,3,10,20,8,1,10,13,18,2,10,7,8,2,10,5,8,1,10,7,8,10,18,1,15,5,8,12,15,1,14,2,3,2,14,3,15,3,14,8,15,2,8,2,15,1,14,7,16,1,14,4,16,2,14,19,17,1,14,1,17,1,16,18,14,1,17,1,16,19,14,5,17,2,14,4,16,9,17,1,14,2,17,3,14,2,15,1,14,2,16,8,17,1,14,3,16,13,14,3,16,7,6,1,7,2,14,1,16,1,17,2,16,5,14,1,8,1,10,2,9,1,8,1,15,3,18,1,8,1,9,1,10,1,8,1,10,6,8,2,18,4,14,6,3,4,14,3,3,7,14,3,18,1,15,1,14,2,3,5,14,18,3,1,17,1,16,2,17,1,14,6,3,1,14,3,17,2,16,1,17,7,16,1,3,3,18,2,3,2,4,673,19,18,4,39,19,58,4,16,19,1,4,12,19,37,4,58,3,2,19,4,3,5,18,4,4,601,},
{4,950,19,6,4,2,3,2,16,13,14,5,8,2,14,1,3,1,16,3,3,2,14,3,3,2,4,85,19,11,4,1,18,5,14,1,18,2,8,3,10,18,8,2,10,13,18,3,10,14,8,2,10,6,8,11,15,4,18,1,8,12,15,1,14,2,3,1,14,4,15,3,14,9,15,3,14,8,16,1,14,3,17,1,16,1,17,1,14,14,17,1,16,4,17,1,14,2,16,2,17,1,16,5,17,2,16,4,17,2,16,23,17,1,14,4,17,1,14,4,17,1,16,10,14,2,17,1,16,1,17,1,14,2,15,1,14,3,16,8,14,1,7,2,14,1,16,13,14,3,17,1,16,5,17,1,14,2,17,2,14,3,16,5,14,1,8,2,9,1,8,1,15,1,14,2,15,1,8,5,10,6,8,2,18,4,14,5,3,4,14,3,3,6,14,1,18,6,14,2,3,4,14,15,3,4,14,1,17,1,16,1,17,1,14,5,3,3,14,3,17,7,14,2,3,7,18,1,4,673,19,18,4,39,19,58,4,29,19,37,4,58,3,11,18,2,8,1,18,2,4,600,},
{4,950,19,8,4,1,3,1,16,13,17,4,14,1,15,3,14,2,3,3,14,2,15,1,14,1,3,2,4,88,19,8,4,2,18,4,14,1,18,2,8,3,10,17,8,3,10,30,8,1,10,6,8,12,15,3,18,1,8,3,10,1,9,1,8,8,15,1,14,7,15,3,14,10,15,2,14,13,17,1,14,10,15,1,14,3,16,6,17,1,14,2,16,2,17,2,16,3,17,1,14,2,17,1,16,2,17,1,14,2,17,1,16,22,14,9,17,1,16,1,17,1,16,9,17,1,14,1,17,3,14,6,16,9,14,1,7,1,14,1,17,1,16,12,14,5,16,5,14,4,7,1,14,2,16,5,17,1,15,1,8,1,9,2,8,1,14,3,15,1,8,3,10,8,8,1,18,4,15,1,14,5,3,9,14,3,18,8,14,20,3,4,14,2,17,2,14,4,3,4,14,4,17,6,14,2,3,7,18,1,4,673,19,16,4,43,19,56,4,29,19,36,4,59,3,7,16,2,3,4,18,1,3,1,18,1,4,600,},
{4,950,19,8,4,2,18,1,3,2,16,11,17,2,16,1,14,2,15,2,14,6,15,2,14,1,3,2,4,88,19,9,4,4,18,5,8,6,10,13,8,2,10,38,8,12,18,1,15,1,18,2,8,2,10,3,9,1,8,7,15,1,14,20,15,1,14,11,17,1,14,16,16,7,14,5,17,2,16,2,17,1,14,4,17,3,14,3,16,21,17,1,14,9,16,2,14,1,17,1,16,8,17,1,14,10,17,1,16,9,14,3,17,1,16,11,14,3,7,1,15,1,14,1,16,5,17,2,14,1,7,1,14,1,17,1,16,6,14,2,8,3,14,4,15,1,18,1,8,1,10,8,8,2,18,4,15,1,14,6,3,5,14,5,18,1,8,5,18,6,15,1,14,15,3,3,14,5,17,1,3,7,14,6,17,4,14,2,3,5,18,2,4,675,19,14,4,45,19,56,4,29,19,34,4,60,3,16,4,600,},
{4,951,19,8,4,3,18,1,3,1,16,9,17,1,14,4,15,3,14,3,3,1,14,5,3,2,4,90,19,8,4,3,18,6,8,6,10,12,8,2,10,37,8,14,15,1,18,2,8,2,10,3,8,8,15,1,14,4,15,2,14,26,17,1,14,16,16,6,17,1,14,6,17,3,16,1,17,1,14,2,17,1,16,3,14,2,17,1,16,21,17,1,14,9,16,2,17,2,16,8,17,1,14,5,15,2,14,5,16,9,14,1,7,1,14,1,17,2,16,9,17,1,14,2,8,3,14,1,16,6,17,1,14,2,16,8,14,1,15,1,8,2,15,1,14,4,15,1,8,1,10,9,8,1,18,4,14,7,3,5,14,5,8,13,18,2,14,1,18,5,14,8,3,2,14,5,3,1,16,2,3,5,14,6,17,1,16,1,17,2,14,2,3,5,18,1,4,676,19,13,4,46,19,56,4,22,19,3,4,4,19,33,4,60,19,1,3,16,4,600,},
{4,953,19,6,4,4,18,1,3,2,16,7,17,1,14,5,15,2,14,3,3,3,14,2,3,3,18,1,4,92,19,6,4,4,18,6,8,4,10,12,8,1,10,38,8,14,15,2,18,1,8,3,9,1,8,9,15,1,14,3,15,1,18,1,15,2,14,5,15,2,14,17,17,2,14,15,16,5,14,12,16,4,17,1,16,3,17,3,16,22,14,2,15,3,14,3,17,1,16,13,14,5,15,2,14,3,15,1,14,2,16,8,14,1,15,1,7,1,14,3,17,1,16,8,14,2,15,1,8,2,15,1,14,1,16,17,14,1,15,1,8,1,15,1,14,5,8,1,10,9,8,1,18,2,14,9,3,5,14,5,18,1,8,2,10,2,8,10,18,2,8,4,18,1,14,8,3,1,14,5,16,4,3,1,14,8,17,2,16,1,17,2,14,3,3,4,18,1,4,677,19,7,4,2,19,3,4,46,19,56,4,22,19,4,4,2,19,33,4,61,19,1,3,15,18,1,4,600,},
{4,965,18,1,3,1,16,7,14,15,3,1,16,1,3,1,18,1,4,93,19,7,4,2,18,2,3,2,14,1,18,2,8,3,10,51,8,14,15,3,18,1,8,12,14,4,18,1,8,2,15,2,14,2,15,3,14,18,17,2,14,5,17,1,16,2,14,6,16,5,14,13,16,4,17,2,16,2,17,4,16,21,17,1,14,1,15,3,14,2,17,1,16,14,14,10,15,2,14,2,16,7,14,1,8,1,15,1,7,2,14,2,16,10,17,1,14,1,15,1,8,2,14,1,17,1,16,16,14,1,8,2,15,1,14,1,3,1,14,2,18,1,10,2,8,2,10,5,8,1,18,1,14,11,3,4,14,5,18,1,8,2,10,3,8,6,10,2,8,8,18,1,14,13,16,4,14,9,17,4,14,3,18,1,8,2,18,2,4,679,19,5,4,4,19,3,4,4,19,1,4,40,19,57,4,22,19,38,4,60,19,1,3,9,19,1,3,5,18,2,4,600,},
{4,966,18,1,3,1,16,5,17,1,14,8,15,2,14,5,3,1,16,1,3,1,18,1,4,94,19,7,4,1,18,2,3,3,14,2,18,1,8,2,10,54,8,11,15,4,18,1,8,11,14,4,15,1,8,3,15,6,14,19,17,1,14,6,16,2,17,2,16,2,17,2,16,4,14,14,16,5,17,4,14,3,17,1,16,21,14,2,15,2,14,2,17,1,16,14,17,1,14,8,15,4,14,1,17,1,16,6,17,1,15,1,8,4,14,2,16,11,14,1,15,1,8,1,15,1,14,2,16,15,17,1,14,1,15,2,14,4,18,1,8,3,18,1,8,1,10,4,8,1,18,4,14,9,3,3,14,5,18,2,8,2,10,1,8,8,10,3,8,7,18,1,15,1,14,1,15,3,14,7,16,3,3,1,14,9,17,2,14,5,8,1,10,3,4,681,19,4,4,5,19,2,4,4,19,1,4,43,19,54,4,22,19,38,4,61,19,1,3,13,18,2,4,601,},
{4,960,19,5,4,3,3,1,16,3,3,1,14,10,15,1,14,4,15,1,14,1,16,1,3,1,18,1,4,97,19,4,4,2,18,1,3,4,14,2,18,1,8,2,10,4,8,3,10,40,8,1,10,6,8,10,18,3,15,5,18,1,8,6,18,1,14,1,3,2,14,1,18,1,8,4,15,1,14,1,15,1,18,1,15,2,14,1,15,1,14,13,15,2,14,8,17,1,16,6,17,3,14,16,17,1,16,5,17,1,14,5,17,1,16,21,17,1,14,1,15,3,14,2,16,7,14,2,17,1,16,3,17,1,14,1,17,3,14,5,15,1,8,2,14,1,17,1,16,8,14,1,8,1,10,2,8,1,15,1,14,1,17,1,16,11,14,5,16,8,17,1,16,7,14,2,15,1,14,4,8,3,18,2,8,1,10,4,8,4,18,1,14,5,15,1,14,2,3,5,14,4,18,1,8,13,10,4,8,5,18,2,15,1,18,4,15,1,14,6,3,1,14,18,18,1,8,1,10,1,18,2,4,739,19,55,4,20,19,40,4,61,19,1,3,12,18,1,4,78,18,2,4,522,},
{4,960,19,6,4,2,18,1,3,1,16,2,3,2,14,8,15,1,18,1,15,6,3,3,18,1,4,96,19,5,4,2,18,2,3,3,14,1,18,1,8,4,10,2,8,4,10,38,8,2,10,6,8,11,18,3,15,5,8,4,18,1,15,2,14,4,18,1,8,4,18,1,15,7,14,12,15,2,14,10,17,2,16,4,17,2,14,5,16,2,17,1,14,10,16,5,17,1,14,6,17,4,16,6,17,2,16,10,14,2,15,2,14,2,16,3,17,2,16,2,14,4,17,1,16,1,17,1,16,4,17,1,14,3,15,2,8,2,14,1,16,3,17,2,16,4,14,1,8,1,10,3,8,1,14,2,17,1,16,3,17,1,14,2,17,1,16,4,14,3,17,1,16,7,17,2,16,8,14,3,15,1,14,1,15,1,8,3,18,1,8,2,10,5,8,1,10,1,8,2,18,1,14,3,18,3,14,2,3,5,14,3,18,1,8,14,10,3,8,6,18,1,15,1,18,2,8,1,18,1,15,1,14,24,3,1,18,4,4,741,19,55,4,18,19,37,4,66,19,1,3,8,19,2,3,1,19,1,4,76,18,1,3,4,4,521,},
{4,960,19,6,4,3,3,2,16,3,14,5,15,3,8,2,15,4,8,1,15,1,14,1,3,2,18,2,4,95,19,6,4,2,18,6,8,10,10,45,8,11,18,4,15,5,18,1,8,3,15,2,14,5,18,1,8,2,10,1,8,3,15,1,14,2,15,4,14,4,15,2,14,15,17,1,14,4,16,6,17,2,16,6,17,1,14,1,16,1,17,1,14,5,16,5,17,1,14,6,17,5,16,18,17,1,14,4,17,3,14,1,17,1,16,3,14,4,17,1,16,5,17,1,14,4,15,1,8,2,15,1,17,1,16,8,17,1,8,1,10,3,8,1,15,1,14,2,17,1,16,1,17,1,14,4,16,4,17,3,16,8,17,1,14,1,17,1,16,7,14,2,15,4,8,1,10,1,8,1,18,1,8,2,10,7,8,2,18,1,14,3,18,3,14,2,3,6,14,2,18,1,8,2,10,2,8,10,10,6,8,3,18,1,15,1,18,4,15,1,14,25,18,4,4,741,19,56,4,13,19,40,4,68,19,1,3,7,19,4,4,73,18,5,3,4,10,4,4,516,},
{4,961,19,5,4,3,18,1,3,1,16,4,14,4,15,1,8,6,15,1,8,3,15,1,3,4,18,1,4,94,19,7,4,2,18,5,8,11,10,43,8,15,18,2,15,5,8,2,18,1,15,1,14,3,15,4,18,1,8,2,10,2,8,1,18,1,14,2,15,1,8,1,15,4,14,1,15,1,8,1,15,1,14,14,16,2,17,1,14,4,17,1,16,16,17,1,14,4,17,1,16,4,17,1,14,5,17,1,16,25,17,2,14,5,16,4,17,1,14,1,15,2,14,1,16,6,14,4,15,1,8,2,15,1,16,9,17,1,7,1,8,5,15,1,14,2,16,2,14,4,17,1,16,14,17,3,16,7,14,2,15,1,8,1,15,1,8,1,10,2,8,1,18,1,8,2,10,6,8,3,18,7,15,1,14,2,3,6,14,1,18,1,8,1,10,4,8,1,18,1,8,3,10,2,8,2,10,7,8,3,18,4,15,1,14,19,7,2,14,5,18,4,4,743,19,54,4,12,19,25,4,1,19,15,4,69,19,1,3,6,19,3,4,73,19,1,3,3,18,2,3,4,8,1,10,3,18,5,4,511,},
{4,961,19,5,4,4,3,1,16,4,3,1,14,3,15,1,8,10,15,1,14,1,16,2,3,3,18,1,4,93,19,7,4,2,18,4,8,12,10,30,8,1,10,10,8,17,18,1,15,5,8,3,15,7,14,1,15,2,8,5,14,2,15,8,8,2,14,14,16,2,14,8,16,15,17,1,14,4,17,1,16,4,17,1,14,3,17,1,16,27,17,2,14,3,17,1,16,5,14,1,15,2,14,1,16,6,17,1,14,2,15,2,8,2,14,1,16,9,17,1,14,1,7,3,15,1,8,2,15,1,14,1,16,3,14,3,17,1,16,15,17,2,16,6,17,1,14,2,15,1,8,3,10,2,8,1,18,1,8,5,10,3,8,3,18,8,14,2,3,6,14,1,18,1,8,1,10,4,8,1,18,2,8,2,10,11,8,3,18,3,15,1,14,20,7,1,14,5,3,1,18,3,4,756,19,44,4,6,19,28,4,3,19,13,4,70,19,1,3,6,19,1,4,75,3,4,18,1,8,1,18,4,10,4,18,1,3,4,18,1,4,510,},
{4,964,19,2,4,4,18,1,3,1,16,3,3,2,14,2,15,1,8,7,15,3,14,1,3,1,16,5,3,2,4,94,19,6,4,1,18,4,8,12,10,41,8,18,18,1,15,4,18,1,8,2,15,5,14,5,15,2,8,2,15,1,14,2,15,8,8,2,14,24,17,1,16,15,14,5,17,1,16,3,17,1,14,3,17,1,16,28,17,2,14,1,17,1,16,6,14,1,15,2,14,1,16,7,14,2,15,4,14,1,16,8,17,1,14,3,17,2,14,1,15,1,8,2,14,1,16,4,17,4,16,4,17,6,16,11,17,1,14,3,15,1,8,2,9,1,10,2,8,3,10,1,8,3,10,3,8,1,18,10,14,4,3,4,14,1,18,1,8,1,10,4,8,1,18,3,8,1,10,11,8,4,18,1,14,21,15,2,14,5,3,1,18,3,4,765,19,69,4,3,19,13,4,70,19,1,3,4,19,2,4,75,3,2,16,2,3,2,18,3,8,6,18,1,14,1,3,4,18,1,4,509,},
{4,971,18,1,3,1,16,2,3,1,14,3,15,2,8,6,15,2,14,1,3,1,16,6,3,3,4,94,19,5,4,2,18,4,8,12,10,41,8,17,18,1,15,4,18,1,8,1,18,1,15,3,14,14,15,8,8,2,14,9,16,2,17,1,14,13,17,1,16,8,17,2,16,3,17,1,14,6,17,3,14,4,16,30,17,1,16,8,17,1,14,3,16,7,17,1,14,2,15,3,14,1,16,4,17,1,16,3,14,1,7,2,14,1,16,2,17,1,14,1,8,2,14,2,16,4,17,3,16,4,17,6,16,11,14,4,15,1,8,2,9,1,10,2,8,2,10,2,8,3,10,3,8,2,18,9,14,7,3,1,14,1,18,1,8,1,10,4,8,1,18,3,8,1,10,11,8,4,18,1,14,14,15,3,14,4,15,1,7,1,14,5,3,2,18,2,4,747,19,1,4,18,19,59,4,4,19,3,4,5,19,13,4,70,19,1,3,3,19,2,4,76,3,1,16,5,3,3,18,1,8,3,7,1,14,3,3,6,18,2,4,506,},
{4,972,3,1,16,3,14,4,15,2,8,5,15,1,14,1,3,1,16,9,3,1,18,1,4,94,19,5,4,2,18,4,8,11,10,41,8,17,18,1,15,5,18,1,15,4,14,8,3,5,14,1,15,7,8,3,14,9,16,3,14,13,16,9,17,1,14,1,17,2,16,1,14,12,17,1,14,1,16,7,17,2,16,26,17,2,16,3,17,1,14,2,16,8,17,1,14,4,17,1,16,4,17,1,16,3,14,1,7,1,14,2,16,4,14,1,15,1,14,2,17,1,16,11,17,2,16,2,17,1,16,9,17,1,14,5,15,1,8,3,10,6,8,3,10,4,8,2,18,8,14,10,8,1,10,4,8,5,10,5,8,1,10,5,8,3,18,2,14,13,18,4,14,3,15,3,14,4,3,3,18,1,4,748,19,2,4,20,19,42,4,4,19,9,4,13,19,12,4,71,19,1,3,3,19,1,4,76,19,1,3,2,16,7,3,5,16,1,3,9,18,2,4,505,},
{4,972,3,1,16,3,3,1,14,4,15,2,8,4,15,1,14,1,16,10,3,2,4,95,19,4,4,3,18,1,3,1,14,1,18,1,8,9,10,18,8,2,10,23,8,16,18,1,15,5,18,2,15,2,14,10,3,4,14,1,15,1,8,2,15,4,8,3,15,1,14,8,16,3,14,12,17,1,16,9,17,5,14,3,15,2,14,6,17,2,16,8,17,2,16,24,17,4,16,5,17,2,16,9,17,1,14,2,17,1,16,9,14,3,16,5,14,4,16,15,17,1,16,9,14,7,15,2,8,1,10,14,8,3,18,6,14,10,15,1,8,1,10,4,8,10,10,4,8,4,18,1,15,1,14,2,3,1,14,9,18,2,8,1,18,2,15,1,14,1,15,3,14,2,3,7,4,749,19,2,4,22,19,40,4,5,19,6,4,15,19,1,4,1,19,9,4,71,3,4,4,76,19,2,3,4,16,5,3,4,16,6,3,5,18,1,4,506,},
{4,972,18,1,3,2,16,1,3,1,14,4,15,2,8,3,15,1,14,2,16,4,17,4,16,2,3,2,18,1,4,94,19,5,4,2,18,1,3,2,18,1,8,8,10,3,8,4,10,11,8,3,10,22,8,18,15,5,18,2,15,2,14,10,3,4,14,1,15,1,8,2,15,1,14,2,15,1,8,3,15,1,14,4,15,1,14,5,17,2,14,11,17,1,16,14,14,10,17,1,16,10,17,1,16,24,17,1,14,2,17,1,16,7,17,1,16,11,17,1,16,8,17,3,14,1,17,1,16,6,14,3,16,15,17,1,16,9,14,8,15,1,8,2,10,15,8,3,18,4,14,10,15,1,18,1,8,15,10,3,8,2,18,3,14,3,3,1,14,6,15,3,18,1,8,2,18,2,14,2,18,2,15,1,14,2,3,7,4,774,19,39,4,5,19,6,4,19,19,6,4,72,3,3,19,1,4,72,19,5,3,7,16,3,3,4,16,10,3,2,18,1,4,505,},
{4,972,18,1,3,5,14,2,15,1,8,5,15,1,14,2,16,4,17,4,3,1,16,1,3,2,18,1,4,94,19,6,4,2,18,1,3,1,18,1,8,8,10,2,8,5,10,11,8,3,10,21,8,20,15,4,18,2,15,3,14,14,15,2,8,1,15,1,14,2,15,1,8,4,15,1,14,3,15,1,14,7,16,5,17,1,14,5,17,1,16,14,17,1,14,6,17,1,16,38,14,3,17,1,16,27,14,3,17,2,16,7,17,1,14,2,16,15,17,2,16,8,14,8,15,2,8,1,10,12,8,1,10,2,8,3,18,4,14,11,15,1,18,2,8,5,18,4,8,4,10,3,8,2,18,2,15,1,14,3,3,2,14,4,15,4,18,1,8,2,18,2,14,7,3,7,4,774,19,41,4,2,19,7,4,20,19,5,4,72,19,1,3,2,4,71,19,2,3,13,16,17,3,1,18,1,4,505,},
{4,973,18,1,3,2,16,2,3,1,14,1,15,1,8,5,15,1,14,2,16,4,17,3,14,2,3,3,18,1,4,94,19,7,4,1,18,3,8,8,10,2,8,4,10,13,8,1,10,22,8,3,18,2,8,16,18,5,15,4,14,14,15,3,14,2,15,1,8,4,15,1,14,6,15,3,14,2,16,7,14,4,17,1,16,1,17,3,16,11,17,1,14,4,16,31,17,2,16,7,14,3,16,28,7,1,8,1,7,1,14,1,17,1,16,6,17,1,16,19,17,1,16,4,17,1,14,1,16,1,17,1,14,9,15,2,8,1,10,3,8,2,10,6,8,2,10,1,8,2,18,5,14,4,3,1,14,17,18,1,8,4,10,2,8,3,18,2,14,4,3,2,14,3,15,5,18,1,8,2,18,2,14,7,3,6,18,1,4,774,19,51,4,20,19,4,4,72,19,1,3,1,19,1,4,70,19,1,3,22,16,10,3,2,4,505,},
{4,973,18,1,3,2,16,2,3,1,14,1,15,1,8,5,15,1,14,2,16,5,17,3,14,2,3,2,18,1,4,94,19,7,4,1,18,2,8,2,10,1,8,6,10,2,8,4,10,35,8,3,18,1,15,2,18,1,8,19,18,1,15,3,14,3,3,1,16,2,3,1,14,10,15,1,14,2,15,1,18,1,8,3,15,1,14,6,15,3,14,3,16,6,17,1,14,4,17,2,14,2,17,1,16,11,17,1,14,1,17,1,16,32,17,2,16,7,17,1,14,2,16,14,17,1,16,13,7,1,8,2,7,1,17,1,16,3,17,1,14,3,17,1,16,22,17,1,14,3,17,1,14,11,15,1,8,1,10,1,8,3,10,9,8,1,18,6,14,3,3,4,14,15,18,1,8,9,18,1,14,6,3,1,14,3,15,3,14,2,15,1,18,1,8,1,18,1,14,8,3,5,18,1,4,775,19,51,4,23,19,1,4,145,19,1,3,27,16,5,3,2,4,505,},
{4,974,3,1,16,3,3,1,14,1,15,1,8,5,15,1,14,1,3,1,16,5,17,3,14,3,3,2,18,1,4,93,19,8,4,1,18,1,10,2,8,8,10,3,8,3,10,34,8,4,15,2,8,20,15,4,14,2,3,1,16,4,14,3,15,1,14,3,3,1,14,6,18,1,8,3,18,1,14,6,15,4,14,5,16,4,14,4,17,1,14,4,17,1,16,4,17,2,16,5,17,2,16,7,17,6,16,19,17,1,16,9,17,2,16,14,17,1,14,1,17,1,16,11,14,1,7,1,8,1,7,1,16,4,7,1,8,1,15,1,14,1,16,23,14,4,17,1,16,3,3,1,14,5,3,2,14,1,18,1,8,4,10,9,8,1,18,6,14,3,3,3,14,9,3,2,14,5,18,2,8,7,18,1,15,1,14,6,3,2,14,2,15,2,14,4,18,1,8,1,18,2,14,8,3,3,18,1,4,776,19,51,4,168,19,1,3,4,19,8,3,3,19,3,3,6,19,2,3,5,16,2,3,1,18,1,4,505,},
{4,974,3,1,16,4,14,2,15,2,8,3,15,1,14,1,3,1,16,5,17,1,6,2,14,2,3,3,18,1,4,93,19,8,4,3,18,1,8,8,10,4,8,3,10,26,8,3,10,4,8,10,18,2,8,3,18,1,8,7,15,7,14,2,16,4,3,1,14,2,15,2,14,3,3,2,14,5,15,1,8,1,10,1,8,1,18,1,14,2,3,2,14,8,15,1,14,2,16,3,17,1,14,3,17,3,14,3,17,1,16,4,17,2,16,5,17,1,16,7,14,5,17,1,14,1,17,1,16,5,17,1,16,34,17,2,16,3,14,2,16,12,17,1,14,2,16,3,14,1,8,2,15,1,17,1,16,23,14,1,15,2,14,1,17,1,16,3,3,2,14,1,15,1,14,1,3,3,14,2,8,2,10,1,8,1,10,3,8,1,10,5,8,5,18,3,14,3,3,1,14,17,18,2,8,4,18,4,15,1,14,6,3,2,14,2,15,2,14,4,18,1,8,2,18,1,14,2,18,2,14,4,3,3,18,1,4,776,19,48,4,171,19,1,3,4,19,9,3,2,19,3,3,5,19,6,3,3,16,1,3,1,4,506,},
{4,974,3,1,16,4,14,2,15,2,8,3,15,1,14,1,16,6,17,1,6,2,14,2,3,3,18,1,4,93,19,8,4,4,18,2,8,6,10,5,8,1,10,12,8,2,10,9,8,7,10,6,8,8,18,1,8,3,18,2,8,5,18,2,15,6,14,3,16,3,3,1,14,8,3,2,14,3,15,1,14,1,15,1,8,1,10,1,8,1,15,1,14,11,15,3,14,2,16,2,14,3,17,4,14,3,17,2,16,2,17,2,14,1,17,1,16,3,17,3,16,5,17,1,14,7,17,1,16,4,17,1,14,1,17,1,16,6,17,1,16,26,14,1,17,1,16,18,17,1,14,1,16,2,17,1,14,1,8,1,15,1,14,1,16,24,14,2,15,1,14,2,16,5,14,3,3,4,14,1,15,1,8,1,10,11,8,4,18,5,14,22,18,8,14,17,18,1,8,2,18,1,14,2,18,2,14,4,3,2,18,2,4,777,19,35,4,3,19,9,4,170,19,1,3,5,19,9,3,2,19,15,3,3,19,1,4,506,},
{4,974,3,1,16,3,3,1,14,2,15,1,8,2,15,2,14,2,16,7,17,2,14,2,3,3,4,94,19,8,4,5,18,2,10,23,8,4,10,7,8,4,10,10,8,16,18,8,14,4,3,4,14,16,15,1,8,2,15,1,14,11,15,4,14,3,17,1,14,2,17,4,14,4,6,1,17,7,16,2,17,1,14,7,17,1,16,2,17,1,14,11,17,1,16,7,17,1,16,26,17,1,16,19,14,6,7,1,14,2,16,12,17,1,14,2,17,1,16,9,14,2,15,1,14,1,17,1,16,5,14,8,18,1,8,1,10,10,8,1,18,7,14,16,15,2,18,1,14,29,18,2,15,2,14,2,7,3,14,3,3,2,18,2,4,777,19,25,4,3,19,3,4,8,19,18,4,3,19,1,4,156,19,1,3,4,19,29,4,508,},
{4,974,3,1,16,3,3,1,14,2,7,1,8,2,7,2,14,1,17,1,16,7,17,1,14,2,3,3,18,1,4,95,19,7,4,7,10,25,8,1,10,9,8,2,10,4,8,2,10,5,8,16,18,8,14,4,3,4,14,16,15,3,14,12,15,4,14,5,17,4,6,2,14,5,6,1,17,5,16,1,17,2,14,8,16,3,14,11,16,7,17,2,16,39,17,5,16,1,17,1,14,7,17,2,16,12,17,1,14,3,17,1,16,9,14,4,16,5,17,1,14,7,15,1,8,1,10,2,8,3,10,5,8,1,18,7,14,15,15,2,8,1,18,1,14,3,3,3,14,22,15,5,7,5,15,1,18,1,14,1,3,3,18,1,4,780,19,21,4,15,19,23,4,156,19,32,4,509,},
{4,974,18,1,3,1,16,2,3,1,14,2,7,2,8,1,7,2,14,2,16,7,17,1,14,3,18,2,4,2,19,3,4,106,10,4,8,1,10,34,8,3,10,5,8,6,10,2,8,12,18,5,15,1,14,3,3,3,14,9,15,1,14,6,15,3,14,12,15,4,14,3,17,6,6,2,14,6,6,1,17,2,16,1,17,7,14,5,17,1,16,2,17,1,14,2,15,1,14,6,17,1,16,48,17,2,14,11,17,1,16,14,17,1,14,2,17,1,16,12,17,2,16,5,17,1,14,1,15,3,18,1,15,2,8,2,10,2,8,3,10,5,8,1,18,7,14,15,15,2,18,2,14,7,18,1,14,20,15,5,7,7,14,1,3,3,18,1,4,781,19,19,4,5,19,3,4,8,19,19,4,165,19,27,4,509,},
{4,974,18,1,3,3,14,3,15,2,8,2,15,2,14,1,17,1,16,6,17,1,14,2,18,2,4,2,19,4,4,106,10,4,8,2,10,19,8,5,10,9,8,2,10,7,8,4,10,3,8,14,18,3,15,2,14,2,3,3,14,4,3,1,14,4,15,2,14,6,15,1,14,19,17,7,6,2,14,7,6,1,17,5,16,4,17,1,14,4,17,1,16,3,14,2,15,1,14,6,16,50,17,1,14,11,16,16,17,1,14,1,17,1,16,19,14,2,15,1,8,12,10,5,8,1,18,7,14,16,15,2,18,1,15,1,14,5,18,3,14,12,15,2,14,4,15,1,18,1,15,4,7,6,8,1,14,1,3,3,18,1,4,784,19,16,4,5,19,4,4,7,19,23,4,162,19,25,4,510,},
{4,975,3,3,14,3,15,1,8,5,15,1,14,1,16,6,3,3,18,2,4,2,19,4,4,106,10,3,8,4,10,19,8,5,10,24,8,14,18,3,15,2,14,3,3,2,14,4,3,1,14,4,15,2,14,26,17,4,14,4,6,1,14,8,17,4,16,5,17,1,14,3,17,5,14,9,16,50,17,2,14,3,17,3,14,3,17,1,16,7,17,3,14,2,16,4,17,1,14,2,17,1,16,18,14,2,8,2,10,3,8,5,18,1,8,1,10,6,8,1,18,7,14,16,15,2,18,2,14,4,18,4,14,12,15,1,18,1,15,1,14,2,15,2,18,1,15,4,8,1,7,5,8,1,18,1,14,1,3,2,18,1,4,786,19,12,4,9,19,2,4,7,19,29,4,159,19,22,4,510,},
{4,975,18,1,3,3,14,3,15,2,8,3,15,1,14,1,16,5,3,4,18,1,4,2,19,5,4,106,10,2,8,7,10,18,8,4,10,24,8,14,18,3,15,3,14,13,15,2,14,23,17,3,14,8,6,2,14,7,17,3,16,7,17,1,16,5,17,1,14,11,16,48,17,2,16,8,17,1,14,1,17,1,16,7,17,3,14,2,17,1,16,5,14,3,16,17,14,1,15,1,8,1,9,1,10,3,8,3,18,1,15,1,18,1,8,1,10,6,8,3,18,6,14,10,3,2,14,4,15,1,18,3,14,3,18,5,14,12,15,6,18,1,15,4,8,1,7,5,8,1,15,1,14,1,3,2,18,1,4,787,19,3,4,6,19,1,4,19,19,30,4,160,19,21,4,509,},
{4,975,18,1,3,3,14,6,15,2,14,2,16,6,3,3,18,1,4,1,19,6,4,107,18,2,8,6,10,19,8,2,10,25,8,14,18,3,15,3,14,24,17,1,14,12,17,1,16,1,17,2,14,8,6,1,17,2,6,1,14,5,6,1,17,2,16,13,17,1,14,11,16,45,17,5,16,9,17,2,16,6,17,1,14,1,17,2,14,1,17,2,16,5,17,1,14,2,17,1,16,16,14,2,15,1,8,1,10,3,8,1,18,1,15,1,14,2,18,1,8,1,10,5,8,5,18,5,14,10,3,3,14,3,15,2,18,10,14,14,15,9,7,4,14,1,7,1,18,2,14,1,18,3,4,816,19,31,4,160,19,20,4,509,},
{4,975,18,1,3,3,14,9,3,1,16,4,3,3,18,2,4,2,19,6,4,108,18,3,8,6,10,44,8,15,18,2,15,11,14,25,15,1,14,4,17,2,14,9,6,1,17,5,6,3,17,3,16,13,17,1,14,12,17,1,16,43,17,4,16,10,17,3,16,5,17,3,16,10,14,3,16,16,17,1,14,1,15,1,8,4,18,1,14,4,18,1,8,1,10,8,8,5,18,3,14,10,3,1,14,4,15,2,18,1,14,2,18,7,14,6,3,2,14,6,15,9,7,3,14,2,7,1,18,5,4,810,19,1,4,4,19,8,4,2,19,26,4,14,19,2,4,142,19,2,3,1,19,13,3,1,19,3,4,508,},
{4,975,18,1,3,6,14,2,3,2,14,1,3,2,16,3,3,3,18,2,4,111,19,3,4,3,18,4,8,7,10,43,8,3,10,3,8,9,18,1,15,1,14,1,15,5,8,4,15,1,14,23,15,3,14,8,17,3,14,4,17,12,16,12,17,2,14,10,16,1,17,2,16,56,17,1,14,1,17,1,16,6,17,2,16,4,17,1,16,6,14,2,16,8,17,2,16,6,17,1,14,1,15,1,8,3,18,1,14,2,3,1,14,1,18,1,8,1,10,10,8,5,18,3,14,21,18,5,14,6,3,3,14,11,15,3,7,3,14,2,7,1,15,1,18,4,4,675,18,2,4,3,18,2,4,128,19,12,4,5,19,24,4,13,19,4,4,141,19,1,3,7,19,4,3,5,19,2,4,509,},
{4,976,3,6,14,1,3,10,18,2,4,113,19,4,4,2,18,4,8,8,10,10,8,3,10,40,8,4,18,1,15,1,14,1,15,2,18,2,8,6,15,4,14,15,17,1,14,4,15,2,14,7,17,2,16,1,17,2,14,5,17,7,16,2,17,2,16,11,17,3,14,8,17,5,16,6,17,2,16,47,17,1,14,2,16,12,17,2,16,5,14,2,16,8,14,3,16,6,14,1,15,1,8,2,18,2,14,2,3,1,14,1,18,1,10,14,8,3,18,2,14,21,18,5,14,4,3,4,14,11,15,4,7,3,14,2,7,1,15,1,18,4,4,670,10,6,9,1,10,2,18,5,4,125,19,13,4,8,19,20,4,14,19,4,4,142,19,2,3,1,19,1,3,3,19,3,3,6,19,2,4,509,},
{4,976,3,5,14,3,3,7,18,1,4,116,19,4,4,3,18,2,8,10,10,8,8,5,10,40,8,4,15,2,18,5,8,6,15,4,14,14,17,1,3,1,14,12,17,1,16,3,17,1,14,6,17,5,16,3,17,2,16,11,17,2,16,4,17,1,14,5,17,4,16,5,17,1,14,2,16,44,17,1,16,1,17,2,14,1,17,1,16,7,17,1,16,4,17,2,16,5,14,2,17,1,16,6,17,1,14,3,17,1,16,5,14,1,15,1,8,2,18,3,14,3,8,1,10,15,8,3,18,1,14,21,18,5,14,4,3,4,14,10,15,4,8,1,7,6,15,1,18,4,4,649,19,1,4,20,10,1,8,2,10,6,18,5,4,11,10,2,9,1,4,111,19,14,4,8,19,15,4,19,19,3,4,143,19,17,4,509,},
{4,976,18,1,3,11,18,3,4,117,19,5,4,3,18,2,8,11,10,7,8,4,10,41,8,3,18,3,8,2,18,2,8,6,15,4,14,8,15,1,14,5,17,1,3,1,14,12,17,1,16,2,17,2,14,6,6,1,17,1,6,1,17,2,16,15,17,2,16,6,14,7,17,2,16,5,17,1,14,1,17,1,16,18,17,2,16,23,17,1,14,1,17,4,16,8,17,2,16,9,14,3,17,1,16,6,17,1,14,2,15,1,14,1,16,5,14,1,15,1,8,5,18,3,8,1,10,16,8,2,18,4,14,18,18,5,14,18,18,1,15,1,18,1,8,2,7,5,14,3,18,3,4,633,19,17,4,14,18,1,10,16,18,2,4,2,18,7,10,3,8,4,4,109,19,15,4,11,19,11,4,20,19,3,4,146,19,13,4,510,},
{4,977,18,1,3,6,16,1,3,2,18,1,4,120,19,6,4,2,18,5,8,10,10,50,8,3,18,2,8,3,18,3,8,5,15,4,14,8,15,1,14,19,17,1,16,1,17,1,14,9,17,1,14,1,17,2,16,14,17,3,16,5,17,1,14,9,16,6,17,1,16,15,17,1,16,2,17,3,16,4,17,2,16,17,17,1,14,1,17,3,16,9,17,2,16,9,14,1,7,1,14,1,17,1,16,4,17,2,14,3,15,1,14,2,16,4,14,1,15,1,8,2,10,3,8,1,18,2,8,1,10,16,8,2,18,5,14,12,3,1,14,3,18,7,14,17,18,2,8,2,15,1,7,5,14,4,18,2,4,627,19,23,4,14,18,1,8,4,10,17,18,3,10,4,8,6,18,1,4,107,19,14,4,19,19,5,4,21,19,4,4,146,19,11,4,510,},
{4,978,18,1,3,1,16,3,3,3,18,1,4,122,19,5,4,2,18,5,8,10,10,50,8,4,18,1,8,3,18,3,8,4,15,3,14,10,15,1,14,19,17,1,16,1,17,1,14,6,17,1,16,2,17,4,16,14,17,2,16,7,14,6,16,24,17,4,14,2,17,1,16,4,17,1,14,2,16,7,14,2,17,1,16,6,17,1,14,1,17,1,16,12,6,1,17,1,16,7,17,1,14,3,16,5,17,2,14,3,15,1,14,2,16,4,17,1,15,1,8,2,10,4,18,2,8,1,10,4,8,2,10,10,8,2,18,6,14,9,3,4,14,2,18,1,14,1,18,2,8,2,18,4,14,14,18,1,8,3,15,1,7,5,14,4,18,2,4,627,19,23,4,7,18,4,10,2,9,1,10,1,8,4,10,2,8,3,10,16,8,9,10,1,4,2,18,8,4,96,19,11,4,23,19,5,4,22,19,4,4,147,19,4,4,515,},
{4,978,18,1,3,1,16,2,3,2,18,1,4,127,19,3,4,3,18,3,8,11,10,49,8,8,18,3,8,4,15,2,14,31,17,1,16,2,14,5,17,1,16,5,17,2,16,6,14,2,16,16,17,1,14,2,16,22,17,2,16,1,17,2,14,1,17,2,14,2,17,1,16,4,17,1,14,2,17,1,16,5,17,1,14,2,17,1,16,7,17,1,16,13,17,1,14,1,17,1,16,7,17,1,14,1,16,6,17,3,14,5,16,4,17,1,15,1,8,2,10,4,18,3,10,4,8,2,10,10,8,2,18,6,15,1,14,8,3,4,14,5,18,1,8,7,15,1,14,12,18,1,8,3,15,1,7,5,14,4,18,2,4,2,19,3,4,622,19,22,4,7,9,4,8,9,10,1,8,1,18,2,8,1,10,14,8,9,10,6,8,1,9,1,8,1,9,5,4,94,19,10,4,25,19,5,4,23,19,3,4,666,},
{4,979,3,4,18,1,4,128,19,4,4,3,18,2,8,12,10,48,8,9,18,1,8,5,15,1,14,25,15,4,14,3,16,3,14,4,17,1,16,13,17,1,14,2,17,1,16,16,17,1,16,24,17,1,16,2,17,2,14,4,16,6,17,2,16,8,17,2,16,8,17,1,16,27,17,1,14,1,17,4,14,5,16,4,17,1,15,1,8,2,10,4,8,1,18,1,8,1,10,16,8,2,18,6,15,1,14,8,3,4,14,5,18,1,8,8,14,11,15,1,18,1,8,3,15,1,7,4,14,4,18,3,4,1,19,4,4,622,19,9,4,5,19,5,4,4,18,4,10,2,8,5,10,8,8,1,18,3,8,2,10,1,8,3,10,9,8,5,10,3,8,1,18,3,8,2,10,3,8,6,18,1,4,57,19,3,4,34,19,7,4,28,19,4,4,23,19,3,4,666,},
{4,1112,19,5,4,2,18,2,8,13,10,47,8,9,18,1,8,4,15,1,14,3,3,1,14,6,15,3,14,12,15,5,14,3,16,3,14,4,16,3,17,2,16,9,17,1,14,4,16,14,14,2,17,1,16,28,14,4,16,17,17,2,16,7,17,1,16,27,14,3,17,1,14,7,16,4,17,1,15,1,8,1,10,25,8,1,18,1,14,2,18,3,14,9,3,4,14,4,18,1,8,2,10,1,8,5,18,1,14,3,15,2,14,6,18,1,8,5,15,1,7,1,14,6,18,3,4,1,19,4,4,645,18,4,8,1,10,12,8,12,10,3,8,4,10,8,8,2,18,5,8,2,18,1,8,2,10,2,8,3,4,58,19,5,4,69,19,2,4,23,19,3,4,666,},
{4,1112,19,5,4,2,18,2,8,13,10,8,8,1,10,39,8,4,10,2,8,4,10,1,8,2,15,1,14,1,3,3,14,6,15,1,8,1,15,1,14,12,15,4,14,4,16,3,14,3,17,1,16,2,17,1,14,2,16,9,17,1,14,4,17,1,16,12,17,1,14,3,16,2,14,2,17,1,16,23,17,1,14,3,16,25,17,1,14,1,17,1,16,25,17,1,14,10,17,1,16,4,14,1,15,1,8,2,10,1,8,2,10,4,8,2,10,3,8,1,10,11,8,1,18,1,14,14,3,4,14,4,18,1,8,1,10,3,8,5,18,1,14,2,18,2,14,5,18,1,8,6,15,1,7,1,14,6,18,3,4,1,19,4,4,620,18,17,10,5,18,3,8,8,10,4,8,17,10,2,8,14,14,4,18,4,14,1,18,2,8,1,10,5,4,2,10,4,18,2,4,31,19,2,4,17,19,4,4,69,19,2,4,24,19,2,4,666,},
{4,1112,19,6,4,1,18,2,8,13,10,8,8,2,10,25,8,1,10,13,8,3,10,5,8,1,10,1,8,1,18,1,14,10,15,3,14,14,15,3,14,5,16,4,17,1,16,4,17,1,14,1,16,4,17,1,16,4,17,1,14,4,16,14,14,3,16,2,14,4,16,23,17,1,14,2,16,24,17,1,14,2,17,1,16,21,17,1,16,3,17,1,14,9,17,1,16,5,14,2,8,2,10,1,8,1,10,5,8,2,10,6,8,1,10,9,8,1,18,2,14,2,3,1,14,8,3,5,14,4,18,1,8,2,10,2,8,5,18,1,14,2,18,8,8,6,15,1,7,1,14,7,18,2,4,1,19,4,4,607,18,23,10,3,8,1,18,3,8,1,10,3,8,1,18,10,8,15,10,3,8,15,18,1,8,4,14,3,18,8,8,2,10,6,18,1,10,2,8,2,9,1,8,1,10,1,4,21,19,7,3,5,18,2,4,213,19,2,4,565,},
{4,1112,19,6,4,1,18,3,8,13,10,7,8,2,10,24,8,5,10,11,8,2,10,6,8,2,18,1,15,1,14,7,15,5,14,23,16,8,17,1,16,4,14,3,17,1,16,2,14,5,16,14,17,1,14,2,16,1,17,1,14,4,16,24,14,2,16,24,14,3,16,7,17,4,16,10,14,3,17,3,14,2,16,2,14,5,17,1,16,4,14,3,15,1,8,1,10,7,8,2,10,17,8,2,18,1,14,1,3,1,14,8,3,5,14,4,18,1,8,2,10,3,8,4,18,1,14,2,18,8,8,6,15,1,7,1,14,7,3,2,4,1,19,4,4,605,18,1,3,5,18,10,3,3,18,5,8,8,18,1,8,4,18,2,8,3,18,5,8,5,18,2,8,8,10,3,8,14,18,1,7,1,8,4,14,1,18,1,8,3,18,6,8,7,18,3,10,2,8,3,10,1,18,3,4,17,19,1,3,14,18,1,4,13,18,5,4,192,19,5,4,564,},
{4,1112,19,6,4,2,18,2,8,14,10,32,8,6,10,10,8,3,10,5,8,1,18,3,14,6,15,3,8,2,15,1,14,4,15,2,14,1,3,1,14,15,16,12,17,1,14,4,16,2,14,2,15,2,14,1,16,19,14,3,16,25,17,2,16,23,17,1,14,2,17,1,16,6,14,6,16,9,14,3,17,1,14,3,16,3,17,1,14,6,17,2,14,5,8,1,10,6,8,3,10,19,8,1,14,1,3,1,14,7,3,6,14,4,18,1,8,2,10,3,8,1,10,1,8,2,18,5,8,2,18,5,8,5,15,1,14,8,3,2,18,1,19,4,4,594,19,6,4,4,18,1,3,5,18,2,8,7,18,2,14,6,18,1,8,55,7,8,8,4,7,3,18,1,8,5,18,1,8,3,18,2,8,1,10,2,8,4,10,1,18,3,4,10,18,1,3,2,18,4,3,10,18,6,4,3,18,13,4,3,19,1,4,189,19,5,4,564,},
{4,1113,19,5,4,3,18,2,8,3,18,2,8,3,10,1,8,4,10,32,8,6,10,10,8,4,10,4,8,1,18,4,15,1,14,3,15,2,8,4,15,1,14,3,15,1,8,1,15,1,14,4,3,2,14,6,3,2,14,1,3,2,16,3,14,4,16,5,17,1,14,4,16,2,14,2,15,2,14,1,17,1,16,18,14,2,16,51,17,1,14,2,16,6,17,1,14,2,15,3,14,1,16,8,17,1,14,4,17,3,16,4,14,2,15,2,14,9,15,1,8,1,10,3,8,4,10,20,8,1,18,1,14,8,3,4,14,6,18,1,8,2,10,5,8,3,18,3,8,3,18,6,8,3,18,1,15,1,14,7,3,3,18,1,4,1,19,3,4,594,19,6,4,2,18,2,3,4,14,1,18,2,8,10,7,2,14,2,7,2,8,12,7,1,8,25,7,1,8,6,18,1,8,10,7,6,8,6,7,3,8,5,15,1,18,1,8,7,10,2,8,4,10,1,18,2,4,9,18,1,3,5,18,2,3,8,18,2,4,2,18,17,3,1,18,2,4,2,18,1,3,2,18,1,4,186,19,7,4,563,},
{4,1116,19,3,4,2,18,1,8,3,18,3,8,8,10,31,8,6,10,12,8,5,10,1,8,6,18,1,14,2,15,3,8,4,15,1,14,3,15,1,8,2,14,11,3,2,16,6,14,6,16,4,17,1,14,3,17,1,16,2,14,2,15,1,14,2,17,1,16,57,17,1,14,2,17,1,16,11,17,2,16,6,14,3,15,1,8,1,15,1,14,1,16,8,14,4,17,1,16,7,17,1,14,1,15,1,8,1,15,1,14,8,15,1,8,1,10,3,8,3,10,22,18,1,14,7,3,3,14,5,3,2,14,1,15,1,8,2,10,6,8,4,18,5,14,3,18,3,8,2,18,1,15,1,14,7,3,3,18,1,4,598,19,6,4,1,18,1,3,5,18,2,8,7,10,3,8,3,7,6,8,11,7,1,8,24,7,2,15,1,18,6,8,5,10,2,8,3,7,1,8,11,7,3,8,5,18,2,8,6,18,1,8,1,10,1,8,7,10,1,4,8,18,1,3,4,18,6,19,1,18,1,19,1,4,7,18,9,3,4,18,2,3,3,18,2,4,1,18,2,3,6,4,182,19,6,4,564,},
{4,1116,19,4,4,2,10,1,8,1,18,5,8,7,10,30,8,4,10,15,8,2,18,1,8,9,18,1,14,2,18,1,8,1,15,1,8,4,15,1,14,2,15,1,8,3,15,1,14,10,3,2,16,5,14,3,15,2,14,2,16,6,17,2,16,3,17,1,14,4,17,1,16,5,17,2,16,20,17,2,16,27,17,1,14,3,17,1,16,6,17,2,16,3,17,1,16,7,14,2,15,2,8,2,14,3,16,6,14,4,16,9,14,2,15,1,14,9,15,1,8,2,10,1,8,4,10,11,8,3,10,7,8,1,14,12,15,3,14,2,3,1,14,2,18,1,8,1,10,6,8,5,18,3,14,6,15,1,18,2,15,2,14,7,3,3,18,1,4,587,19,1,4,10,19,4,4,3,18,1,3,3,14,1,18,1,8,10,10,2,8,4,7,5,8,38,15,1,18,6,8,5,10,2,8,15,7,3,8,5,18,2,8,9,10,1,8,9,10,4,4,2,18,5,4,2,10,3,4,6,8,4,10,1,18,9,3,4,18,2,3,4,18,2,10,1,18,1,3,8,4,181,19,5,4,564,},
{4,1116,19,5,4,1,10,1,18,6,8,7,10,2,8,1,10,27,8,5,10,14,8,2,18,1,8,10,15,2,18,1,8,1,18,1,8,5,15,3,8,3,15,2,14,10,3,1,16,5,14,2,15,4,14,2,16,11,17,3,16,15,14,1,16,13,17,3,16,26,17,1,14,2,6,1,16,7,17,2,16,3,17,1,16,7,14,2,15,1,8,3,15,1,14,3,16,5,14,4,16,9,14,4,3,1,16,2,14,6,18,1,8,6,10,10,8,2,18,1,8,1,10,7,8,1,14,1,3,1,14,10,18,2,15,1,14,5,18,1,8,2,10,5,8,5,18,3,14,7,15,3,14,8,3,3,18,1,4,1,19,2,4,581,19,6,4,15,18,2,14,2,18,1,8,18,7,4,8,30,7,2,8,11,18,2,8,6,10,1,8,15,7,4,8,16,10,1,8,9,10,11,8,14,10,1,8,1,18,2,10,5,18,7,3,5,18,1,10,2,18,1,3,3,16,3,3,2,18,1,4,180,19,4,4,4,19,4,4,328,19,1,3,2,19,1,4,224,},
{4,1116,19,5,4,2,18,9,8,3,10,3,8,1,10,27,8,3,10,17,8,2,10,3,8,7,18,2,8,2,18,2,8,4,15,2,8,5,15,2,14,4,15,3,14,3,3,2,16,3,14,2,15,2,8,1,15,1,14,3,16,7,17,2,16,18,14,3,16,3,17,1,16,4,3,1,16,2,17,1,14,3,17,1,16,26,17,2,16,8,17,1,16,12,14,2,15,1,8,1,9,2,8,1,15,2,14,2,16,4,14,4,16,15,3,1,14,6,15,1,8,6,10,10,8,1,18,2,8,1,10,7,18,1,14,1,3,1,14,10,15,3,14,5,18,1,8,2,10,4,8,6,18,2,14,10,15,1,14,8,3,3,4,1,19,4,4,580,19,6,4,10,18,9,8,21,7,1,8,17,10,1,8,13,7,5,8,8,18,3,8,14,7,2,8,7,7,4,8,15,10,2,8,7,10,5,8,20,10,2,8,1,10,2,8,2,10,3,18,7,3,5,18,1,10,1,18,2,3,2,16,5,3,2,4,180,19,3,4,4,19,4,4,328,3,4,4,224,},
{4,1116,19,5,4,3,18,9,8,2,10,57,8,10,18,2,8,12,15,1,14,4,15,3,14,5,3,3,14,3,15,4,14,5,17,3,14,4,16,16,14,4,17,1,16,2,14,1,16,4,14,1,16,1,17,2,14,3,17,1,16,49,3,1,14,1,15,1,8,1,9,2,8,1,15,2,14,2,16,3,17,1,14,4,16,4,14,4,16,6,3,1,14,2,15,1,14,4,15,1,8,6,10,10,8,1,18,2,8,1,10,7,8,1,14,1,3,2,14,15,3,1,14,2,18,1,8,1,10,3,8,7,18,3,14,18,3,3,4,1,19,4,4,580,19,6,4,6,18,9,8,58,7,4,8,9,18,2,8,14,7,4,8,6,7,3,8,16,10,3,8,5,10,2,8,23,10,4,8,4,10,2,18,4,10,1,18,4,3,1,18,6,3,4,16,4,3,2,19,1,4,169,19,5,4,11,19,4,4,329,19,2,4,225,},
{4,1116,19,5,4,3,18,9,8,2,10,57,8,10,18,2,8,10,10,1,8,1,15,1,14,4,15,4,14,11,15,4,14,8,15,1,14,2,16,15,17,1,14,4,16,2,17,1,14,2,16,3,14,1,16,1,17,1,14,5,16,50,14,1,15,1,8,1,9,2,8,1,15,2,14,2,16,3,17,1,14,4,17,1,16,3,14,4,3,1,16,5,14,1,15,3,14,2,3,1,14,1,15,1,8,5,10,12,8,1,18,1,8,2,10,6,8,1,18,1,14,9,3,4,14,4,3,1,14,2,18,1,8,1,10,3,8,7,18,3,14,10,15,5,14,3,3,2,18,1,4,1,19,4,4,580,19,6,4,5,18,7,8,62,7,3,8,25,7,4,8,6,7,2,8,15,18,4,8,1,10,2,8,17,10,8,8,2,10,5,8,3,10,2,18,11,4,1,18,2,3,5,18,1,3,2,16,4,3,2,19,1,4,168,19,6,4,10,19,4,4,556,},
{4,1117,19,5,4,2,10,1,18,8,8,3,10,6,8,1,10,49,8,22,10,1,8,1,15,1,14,6,15,1,14,3,15,4,14,6,15,2,14,9,15,2,14,1,17,1,16,14,17,1,14,3,16,3,14,3,16,6,14,4,17,1,16,49,3,1,14,1,15,1,9,3,8,1,15,2,14,2,16,3,17,1,14,5,16,2,3,1,14,5,16,4,14,2,8,2,15,1,14,1,3,2,14,2,8,3,10,14,8,1,18,2,8,2,10,6,8,1,15,1,14,1,3,1,14,5,3,6,14,3,3,2,14,1,18,1,8,2,10,2,8,3,10,2,8,2,18,4,14,6,18,1,14,2,15,3,8,2,18,1,14,1,3,2,18,2,4,1,19,4,4,589,18,3,8,57,18,3,8,9,7,1,8,27,7,3,8,24,15,1,18,2,8,2,10,2,8,15,10,20,18,9,4,3,10,2,18,1,3,6,18,1,3,3,16,4,3,2,4,167,19,6,4,5,18,2,4,2,19,5,4,556,},
{4,1118,19,4,4,2,10,2,18,7,8,4,10,4,8,3,10,47,8,15,18,2,8,2,10,1,8,5,15,1,14,10,15,1,8,4,15,1,14,11,16,1,17,1,14,5,17,1,16,14,17,1,14,2,16,4,3,1,14,2,16,7,14,3,16,12,17,2,16,36,14,1,15,1,8,1,9,3,15,1,14,4,16,4,14,2,15,1,14,3,3,4,14,2,3,1,16,3,3,1,14,1,15,1,8,2,15,1,14,1,3,2,14,2,15,1,8,2,10,15,18,1,14,2,18,1,8,2,10,5,8,1,15,1,14,6,3,8,14,1,3,2,14,1,15,1,8,1,10,3,8,2,10,3,8,2,18,11,15,3,18,1,8,3,18,1,14,1,3,2,18,1,4,2,19,3,4,584,18,8,8,5,10,1,8,24,7,2,8,26,18,3,8,38,7,2,8,26,18,2,8,1,10,16,8,1,18,2,8,7,10,6,8,2,10,3,18,9,4,4,10,2,18,1,3,10,16,4,3,2,19,1,4,166,19,5,4,4,18,1,3,1,18,1,4,2,19,5,4,421,19,4,4,131,},
{4,1127,18,6,8,5,10,2,8,4,10,5,8,1,10,40,8,1,18,1,8,5,18,3,8,6,18,1,15,1,8,2,10,1,8,1,18,1,15,1,8,3,15,2,14,8,15,1,8,5,14,9,16,4,14,5,16,4,17,3,16,9,17,2,16,5,14,2,16,7,17,1,14,1,17,1,16,12,17,1,14,3,17,4,16,30,14,1,15,1,9,1,10,2,9,1,15,1,14,3,17,1,16,4,14,2,15,1,14,3,3,1,16,3,3,2,16,4,14,2,8,3,14,3,3,2,14,1,15,1,8,2,10,14,8,1,18,1,14,3,18,1,8,2,10,4,8,1,18,1,14,4,3,10,14,1,3,1,14,2,15,1,8,1,10,3,8,2,10,4,8,1,18,11,15,3,8,4,18,1,3,3,18,1,4,2,19,4,4,582,18,7,8,31,7,5,8,51,10,1,8,44,10,6,18,1,10,7,18,8,8,1,18,1,8,3,10,5,8,2,10,7,18,5,4,5,10,2,8,1,3,2,16,3,3,6,16,3,3,2,19,1,4,173,18,1,3,2,18,1,4,1,19,6,4,421,19,1,3,3,4,131,},
{4,1129,18,4,8,11,10,4,8,3,10,38,8,7,18,3,8,6,18,1,15,2,8,4,18,2,8,1,9,2,8,2,15,2,14,7,15,1,8,4,15,1,14,6,17,1,16,5,17,1,14,1,17,1,16,6,17,1,14,2,17,1,14,4,16,10,14,3,16,23,14,6,16,31,14,1,8,1,10,2,9,1,8,1,15,1,14,2,17,3,14,4,15,2,14,3,3,1,16,2,3,1,16,5,14,1,15,1,8,3,15,1,14,4,3,2,14,1,18,1,8,3,10,12,8,1,15,1,3,3,14,1,18,1,8,1,10,4,8,2,18,2,15,1,14,2,3,11,14,2,18,1,8,1,10,3,8,3,10,3,8,3,18,6,15,1,18,2,15,2,18,1,8,4,18,1,3,3,18,1,4,2,19,4,4,578,18,5,8,24,7,1,8,11,18,2,7,2,18,2,8,3,18,2,8,46,10,2,8,17,7,1,8,1,7,3,8,8,10,1,8,17,18,3,8,1,10,4,8,1,18,2,3,3,18,7,8,2,10,4,8,3,10,8,18,8,10,3,18,2,3,1,16,2,3,12,4,164,18,4,4,3,18,2,3,3,4,2,19,6,4,421,19,1,3,3,4,131,},
{4,1124,19,3,4,2,18,5,8,10,10,2,8,4,10,35,8,7,10,1,8,2,18,3,8,6,15,1,14,2,15,1,8,7,10,1,8,4,15,1,14,9,8,2,15,1,14,6,16,7,14,2,16,4,17,2,16,1,17,1,14,2,17,1,14,4,17,2,16,1,17,1,16,6,14,3,17,1,16,1,14,1,17,1,16,20,17,1,14,3,16,18,17,2,16,8,14,1,16,2,3,1,15,1,9,1,10,2,9,1,15,2,14,2,3,2,14,5,15,1,14,2,3,4,14,2,3,1,16,3,3,1,15,1,9,1,10,2,8,1,15,1,14,4,3,3,18,3,8,4,18,1,8,1,10,7,8,1,14,5,15,1,8,1,10,5,8,4,18,1,14,2,3,2,14,2,3,2,16,1,3,2,14,3,8,2,10,4,8,2,10,4,8,2,18,6,15,1,7,4,18,1,8,4,18,2,3,2,18,1,4,2,19,4,4,572,18,2,10,3,8,4,10,6,8,26,18,12,8,3,18,3,8,11,10,2,8,20,7,2,8,8,10,3,8,20,7,5,8,4,10,2,8,28,18,2,14,2,7,1,18,1,8,14,10,8,8,6,18,2,8,1,10,4,18,1,3,7,18,1,3,5,18,1,4,162,18,5,3,1,18,3,3,5,4,2,19,6,4,556,},
{4,1124,19,4,4,2,18,4,8,3,18,1,8,5,10,2,8,5,10,34,8,10,18,4,8,6,14,3,15,1,8,3,18,1,8,2,9,1,10,1,8,2,10,1,8,1,18,1,14,6,3,2,14,2,15,1,14,8,16,4,17,1,14,3,16,4,17,1,14,1,17,2,14,2,16,1,14,4,17,1,16,9,14,3,17,2,14,2,16,2,17,1,16,12,17,2,16,4,17,1,14,1,17,1,16,18,17,1,14,1,17,1,16,7,14,1,3,1,16,2,14,1,8,1,10,1,9,1,8,1,15,1,14,9,15,3,14,1,3,3,14,3,3,1,16,3,14,1,15,1,10,2,9,1,15,1,14,2,15,2,14,1,3,3,18,1,14,1,18,1,8,3,15,1,14,1,15,1,10,6,8,1,15,1,14,5,15,1,8,1,10,8,8,2,15,1,14,1,3,2,14,2,3,1,16,3,3,1,14,3,8,2,10,11,8,7,18,1,7,2,14,1,7,2,8,4,18,3,3,1,18,1,4,2,19,4,4,569,18,3,8,4,10,1,8,3,10,7,8,11,7,5,8,10,18,10,8,8,10,2,8,7,10,5,8,13,10,3,8,3,7,2,8,7,10,4,8,20,7,5,8,38,7,2,8,14,10,6,8,8,7,1,18,2,10,3,8,1,10,2,18,1,3,4,18,1,8,1,10,2,8,1,18,3,4,159,10,1,18,3,8,3,7,1,14,5,3,3,18,1,4,1,19,7,4,556,},
{4,1124,19,5,4,2,18,4,8,1,18,1,7,2,8,5,10,2,8,4,10,9,8,3,10,7,8,2,10,12,8,2,18,1,8,8,18,4,8,6,14,3,15,1,8,7,9,1,10,3,8,1,15,1,14,4,15,1,14,2,3,1,14,4,3,1,14,7,16,4,14,3,16,4,14,5,17,1,16,2,14,3,17,1,16,9,17,3,16,2,17,2,16,2,17,1,16,12,17,2,16,5,17,1,16,19,14,2,16,12,14,1,8,3,15,1,14,10,15,3,14,2,3,2,14,4,3,3,14,1,15,1,8,3,15,1,14,5,3,3,18,3,8,3,15,1,14,1,15,1,10,2,8,2,10,2,8,1,15,1,14,5,15,1,8,1,10,8,8,2,15,1,14,1,3,5,16,3,3,1,14,2,15,1,8,2,10,5,8,1,10,5,8,8,7,2,14,2,7,1,8,4,18,5,4,2,19,4,4,567,10,2,8,2,18,1,8,4,10,10,8,11,7,6,8,16,18,2,8,5,10,21,8,11,10,3,8,11,10,4,8,16,18,1,7,3,18,1,8,1,7,1,8,57,10,5,8,12,10,7,18,1,3,4,18,1,8,1,10,4,18,1,4,152,19,4,4,2,18,1,8,1,18,2,8,3,7,1,14,3,17,2,3,4,4,2,19,5,4,558,},
{4,1124,19,6,4,2,18,4,14,2,7,2,8,4,10,4,8,3,10,8,8,3,10,7,8,3,10,7,8,5,18,2,8,8,18,4,8,5,15,1,14,2,15,1,18,1,8,3,18,1,8,8,14,4,15,3,14,1,3,2,14,2,3,3,14,6,16,4,14,4,17,1,16,2,17,5,16,3,17,1,14,2,16,17,17,3,16,39,17,2,16,12,14,2,8,1,15,1,14,1,3,2,14,8,15,4,14,12,15,4,14,1,15,1,14,2,3,3,18,2,8,2,10,1,8,1,18,1,15,1,14,1,18,1,8,1,10,1,8,2,10,2,8,1,15,1,14,1,3,3,14,1,15,1,8,1,10,8,8,2,15,1,14,1,3,1,14,2,3,2,16,3,14,3,18,1,8,2,10,12,8,7,15,1,7,1,14,2,7,1,8,4,18,4,4,2,19,5,4,554,19,3,4,9,10,4,8,6,10,9,8,3,18,4,8,5,18,5,8,9,10,41,8,19,10,5,8,16,7,3,8,61,10,5,8,12,10,8,18,2,3,2,18,2,10,1,8,2,10,1,18,4,4,149,19,4,4,2,18,2,14,7,3,2,14,1,3,4,18,1,4,1,19,6,4,558,},
{4,1124,19,6,4,2,18,2,3,2,18,2,14,2,18,1,8,2,10,6,8,3,10,16,8,4,10,4,8,2,10,1,8,2,18,5,8,1,10,2,8,2,18,7,8,5,15,1,14,2,15,1,8,3,15,3,8,6,15,1,14,4,15,1,8,1,15,1,14,2,3,5,14,6,16,5,14,5,17,1,16,10,14,1,17,1,16,17,17,3,16,45,17,1,14,3,16,4,14,2,15,2,14,1,16,2,3,1,14,7,15,1,8,2,15,1,14,2,3,3,14,15,3,2,14,1,18,1,8,1,10,3,8,1,18,1,15,2,18,1,8,1,10,1,8,2,10,2,8,1,14,2,3,4,14,1,8,1,10,8,8,2,18,1,14,5,3,4,14,2,15,1,8,3,10,13,8,6,18,1,7,1,14,2,7,1,18,1,8,3,18,4,4,2,19,4,4,553,19,6,4,8,10,4,8,5,10,8,8,5,18,3,8,6,18,5,8,3,10,7,8,3,10,12,8,6,10,20,8,18,10,4,8,27,10,5,8,50,10,4,8,11,10,9,8,2,18,5,10,3,18,2,3,1,18,1,4,149,19,5,4,1,18,1,3,11,18,2,3,1,18,1,4,2,19,6,4,558,},
{4,1125,19,6,4,2,18,5,14,2,18,1,8,2,10,7,8,2,10,14,8,4,18,1,8,1,10,3,8,3,10,1,8,2,18,4,8,2,10,2,8,2,18,6,8,6,15,3,8,4,15,4,8,5,15,1,14,3,15,1,8,2,15,1,14,2,3,1,14,10,16,5,14,5,16,11,17,1,16,8,17,1,14,1,17,1,16,7,17,3,16,44,17,1,14,4,16,4,14,2,15,1,14,1,3,1,16,2,14,2,15,1,14,5,15,1,8,2,15,2,14,1,3,1,16,2,3,1,14,13,3,2,14,1,18,2,8,1,10,3,18,1,15,1,14,1,18,1,8,1,10,5,8,1,18,1,14,1,3,5,14,1,8,1,10,8,8,2,18,1,14,2,15,2,14,2,3,1,14,2,15,1,18,1,8,4,10,14,8,6,7,3,18,1,8,4,18,4,4,2,19,4,4,553,19,6,4,8,10,3,8,4,10,9,8,11,10,3,8,5,10,10,8,1,9,1,8,5,10,12,8,6,10,17,8,13,7,1,8,4,10,2,8,28,10,7,8,46,18,1,8,2,10,5,8,4,18,2,8,5,10,3,8,1,10,6,8,2,18,4,8,1,18,2,3,3,18,1,4,148,19,4,4,2,3,11,18,3,4,3,19,7,4,558,},
{4,1126,19,5,4,3,18,5,14,1,18,1,8,3,10,6,8,2,10,13,8,5,18,1,8,1,10,3,8,3,10,2,8,1,18,1,8,4,10,3,8,6,18,2,8,12,15,2,14,1,15,6,8,1,15,5,8,1,15,2,14,5,15,3,14,5,16,4,14,3,17,1,14,1,17,1,16,11,14,1,17,1,16,6,17,1,14,3,17,2,16,6,17,1,16,45,14,2,15,2,14,1,3,1,16,3,14,2,15,1,14,2,3,2,14,2,15,1,14,5,15,2,8,1,15,2,14,1,3,1,16,2,3,1,14,1,15,2,14,3,3,2,14,5,3,2,14,1,18,2,8,1,10,3,18,1,14,2,18,1,8,1,10,4,8,2,15,1,14,1,3,5,14,1,8,1,10,8,8,2,18,3,8,2,18,1,14,3,8,7,10,15,8,5,15,1,7,2,8,5,18,4,4,2,19,4,4,549,19,2,4,2,19,5,4,6,18,1,4,1,10,4,8,3,10,7,8,12,10,17,9,1,10,5,8,5,10,11,8,7,10,17,8,11,7,3,8,35,10,4,8,46,7,1,18,1,8,4,10,3,8,3,18,6,8,2,10,1,8,5,10,6,8,1,18,5,3,4,18,1,4,148,19,4,4,1,3,10,18,4,4,2,19,9,4,558,},
{4,1126,19,6,4,4,8,2,18,4,8,3,10,5,8,1,10,14,8,7,10,3,8,1,18,1,8,1,10,2,8,5,10,4,8,17,10,1,9,1,8,1,15,1,14,4,15,3,8,8,15,1,14,5,15,1,8,2,15,1,14,11,17,1,16,13,14,2,17,1,16,6,14,6,17,2,16,50,14,1,15,3,14,2,16,3,14,6,3,1,14,1,15,2,14,3,3,1,14,3,15,3,14,1,3,1,16,2,14,1,15,3,14,2,3,4,14,7,18,2,8,1,10,2,8,1,18,1,14,2,8,1,10,5,8,1,18,1,15,1,14,1,3,4,14,1,18,1,8,1,10,7,8,3,18,3,8,3,15,1,14,2,8,6,10,16,8,5,15,1,7,1,18,1,8,4,18,4,4,2,19,5,4,544,19,7,4,3,19,1,4,8,18,1,10,6,8,2,10,7,8,11,10,13,18,1,4,10,18,1,8,7,10,9,8,7,10,17,8,11,7,3,8,84,7,3,8,4,10,3,8,3,18,7,8,8,10,6,8,1,18,10,4,147,19,4,18,1,3,8,18,2,4,5,19,10,4,558,},
{4,1127,19,7,4,2,10,1,18,6,8,4,10,3,8,1,10,14,8,7,10,3,8,3,10,2,8,3,10,5,8,13,10,1,8,2,10,3,8,2,14,6,15,1,8,4,9,1,8,3,15,2,14,4,15,1,8,2,15,2,14,11,16,13,14,4,16,6,14,7,17,1,16,50,14,1,15,3,14,2,16,3,14,8,15,2,14,2,3,1,16,1,3,1,14,2,15,3,14,2,3,1,14,2,8,3,14,2,3,5,14,6,18,2,8,1,10,2,8,1,18,1,14,1,18,1,8,1,10,5,8,2,18,1,14,1,3,2,14,3,18,1,10,8,8,4,18,1,8,4,14,3,15,1,8,5,10,15,8,4,18,2,15,2,18,2,8,3,18,4,4,2,19,5,4,543,19,6,4,12,18,2,8,1,10,6,8,1,10,7,8,12,10,6,8,7,4,15,10,1,4,4,10,1,4,2,10,1,4,1,10,2,8,8,10,19,8,10,18,2,8,84,7,2,18,1,8,5,10,2,8,3,18,6,8,3,18,3,8,2,10,9,8,1,18,10,4,145,19,4,18,1,3,6,18,1,3,1,18,1,4,1,19,15,4,558,},
{4,1127,19,8,4,2,18,4,14,1,18,3,8,4,10,16,8,7,10,3,8,3,10,3,8,2,10,4,8,5,10,2,8,10,10,3,8,1,15,1,14,2,3,2,14,2,15,1,8,1,10,5,8,2,18,1,14,4,15,1,8,3,15,1,14,12,16,4,14,7,16,2,14,4,16,5,17,1,14,7,17,1,16,50,14,2,15,2,14,2,16,3,14,8,15,2,14,2,16,3,3,1,14,1,15,4,14,3,15,1,8,2,15,1,14,1,3,3,14,6,15,2,14,2,18,2,10,2,9,1,18,1,15,1,18,1,8,1,10,3,8,5,18,1,14,3,18,2,8,1,10,8,8,4,18,1,8,3,18,1,14,1,3,2,14,1,15,1,8,4,10,15,8,4,18,2,14,1,7,1,15,1,18,1,8,3,18,4,4,2,19,5,4,543,19,6,4,1,18,1,4,7,18,4,8,2,10,13,8,2,18,2,8,4,7,1,8,4,10,3,8,4,9,3,8,1,4,27,10,1,8,9,10,23,8,71,10,3,8,19,7,1,8,11,18,5,8,2,18,5,8,3,10,12,8,1,18,8,4,144,19,2,4,2,3,3,18,1,4,6,19,14,4,559,},
{4,1128,19,7,4,4,18,2,14,2,18,1,8,6,10,12,8,10,10,4,8,1,10,4,8,2,10,4,8,5,10,2,8,9,10,4,8,1,14,2,3,3,14,2,15,1,9,1,10,4,8,3,18,1,15,1,14,2,15,1,8,3,15,1,14,13,16,4,14,1,15,4,14,2,16,2,17,1,14,2,16,6,14,8,16,51,14,5,3,1,16,3,14,9,15,1,14,2,3,1,16,2,3,1,14,1,15,2,8,1,15,1,14,2,15,2,8,2,15,1,14,1,3,2,14,7,15,2,14,3,18,1,10,3,18,3,8,1,10,1,8,2,18,2,8,1,10,1,8,1,18,4,8,3,10,8,8,3,18,3,8,2,18,1,14,1,3,3,14,1,8,5,10,15,8,3,18,1,15,1,14,3,18,8,4,2,19,4,4,544,19,6,4,2,10,2,18,2,10,3,18,4,8,2,10,9,8,5,18,3,8,8,10,3,8,5,18,1,4,25,8,15,10,3,8,2,10,19,8,70,10,3,8,30,18,3,8,5,18,4,8,5,10,12,18,9,4,150,19,2,4,5,19,7,4,566,},
{4,1129,19,8,4,3,18,1,3,2,18,1,8,1,10,2,8,3,10,9,8,1,10,1,8,1,10,2,8,8,10,9,8,3,10,3,8,5,10,3,8,8,10,3,8,1,15,1,14,2,3,4,14,1,8,1,10,3,8,6,15,3,8,2,10,1,8,1,15,1,14,12,16,4,14,1,15,1,8,4,15,1,14,1,16,8,14,1,17,1,14,9,16,51,14,5,16,4,14,12,3,1,16,2,3,1,14,1,15,3,14,2,15,5,14,1,3,3,14,1,15,2,14,4,15,1,18,2,14,1,18,2,10,2,9,1,18,3,8,3,18,1,14,1,18,1,8,1,10,2,8,4,10,1,8,1,10,8,8,4,18,3,8,2,15,1,14,1,3,3,14,1,18,1,8,4,10,15,8,3,18,1,15,1,14,3,18,8,4,2,19,4,4,544,19,5,4,3,10,1,8,7,18,2,8,3,10,8,8,5,18,4,8,7,10,3,8,5,9,1,4,24,8,13,10,28,8,1,10,1,8,30,10,4,8,8,10,2,8,25,10,1,8,31,18,1,8,8,18,1,8,8,10,4,8,2,10,4,8,1,18,4,10,4,18,3,4,147,19,5,4,3,19,7,4,566,},
{4,1130,19,8,4,2,18,1,3,2,18,1,8,1,10,3,8,2,10,17,8,5,10,8,8,4,10,3,8,6,10,1,8,9,10,3,8,1,14,3,3,3,14,2,8,1,10,2,8,12,10,1,8,1,15,1,14,8,3,1,16,5,14,3,15,1,8,4,15,1,14,1,16,8,14,10,17,1,16,5,17,3,16,42,17,1,14,4,3,1,16,3,3,1,14,10,15,1,14,1,3,1,16,2,3,1,14,1,15,2,14,3,15,3,14,2,3,1,16,2,3,1,14,1,15,1,8,1,15,1,14,3,15,1,18,5,8,1,9,1,8,1,18,3,8,3,18,1,14,1,18,1,10,4,8,1,10,12,8,5,18,2,8,2,18,1,14,1,3,3,14,1,18,1,8,5,10,15,8,2,18,2,14,1,15,1,18,9,4,2,19,4,4,539,19,5,4,7,10,3,8,13,10,6,8,4,18,8,8,2,10,3,8,7,9,1,4,24,10,1,8,10,10,32,8,30,10,2,8,10,10,3,8,62,10,1,8,7,18,2,8,2,10,3,8,1,18,3,8,4,18,3,8,1,10,5,18,4,4,144,19,6,4,4,19,6,4,566,},
{4,1131,19,7,4,2,18,4,10,4,8,2,10,18,8,5,10,5,8,7,10,4,8,11,15,1,8,2,10,2,8,1,15,1,14,4,3,2,14,2,8,1,9,1,10,1,8,11,9,1,10,1,8,1,15,1,14,8,3,1,16,4,14,4,15,3,14,1,15,1,14,1,16,8,17,1,14,10,16,6,17,1,14,1,17,2,16,39,17,1,14,6,16,4,14,1,15,2,14,1,3,3,14,4,15,1,14,1,3,1,16,3,14,4,3,1,14,1,15,1,8,1,15,1,14,2,3,1,16,3,14,1,15,1,8,1,15,1,14,3,15,1,8,7,18,2,15,1,18,2,8,3,18,2,10,17,8,5,18,2,8,3,14,1,3,3,14,1,18,1,8,5,10,4,8,1,10,10,8,3,18,5,8,1,18,6,4,2,19,4,4,538,19,6,4,6,10,5,8,6,10,4,8,14,18,7,10,2,9,5,8,3,10,1,4,26,10,44,8,14,10,2,8,4,18,2,8,18,10,3,8,74,10,3,8,1,18,9,8,2,10,5,8,2,18,3,4,144,19,1,4,1,19,2,4,577,},
{4,1132,19,7,4,2,18,3,10,1,8,2,10,1,8,3,10,7,8,3,10,8,8,4,10,4,8,8,10,5,8,9,18,1,15,1,18,1,8,1,10,2,8,1,15,1,14,5,3,1,14,1,15,1,8,1,10,2,8,12,10,1,8,1,15,1,14,9,3,1,16,2,14,5,15,1,14,2,17,1,14,2,16,4,17,1,14,1,17,2,14,11,16,5,17,4,16,39,14,8,16,3,3,1,14,1,15,2,14,1,3,1,16,2,14,3,15,2,14,1,16,5,14,2,3,2,14,1,15,1,8,2,15,1,14,1,3,1,16,3,3,1,14,1,15,1,14,4,18,1,8,1,10,2,9,1,8,2,18,2,14,2,18,2,8,1,10,1,8,1,18,1,8,1,10,18,8,4,18,2,8,3,18,1,14,1,3,1,14,2,18,1,8,6,10,3,8,2,10,10,8,2,18,3,8,5,18,4,4,2,19,4,4,536,19,8,4,4,10,8,8,1,18,1,8,2,10,6,8,13,18,6,4,3,18,3,4,2,18,1,8,1,4,19,19,5,4,5,10,14,8,8,10,21,8,9,10,2,8,2,10,4,8,3,18,2,8,19,10,1,8,73,10,2,8,4,10,1,8,2,18,6,8,6,10,3,8,1,18,2,10,4,4,721,},
{4,1132,19,8,4,3,18,1,10,2,8,1,10,2,8,2,10,8,8,2,10,8,8,4,10,5,8,3,10,1,8,2,10,6,8,4,10,1,8,5,15,2,8,4,15,1,14,7,15,1,8,17,14,2,3,1,14,17,16,8,14,4,17,1,14,9,17,1,16,3,17,2,16,42,17,1,14,8,16,3,14,1,15,1,8,1,15,1,14,1,16,3,14,2,15,3,14,1,16,9,14,1,8,1,10,2,8,1,15,1,3,1,16,3,3,1,14,6,18,1,9,1,10,2,9,1,18,2,14,3,3,1,14,1,18,1,8,1,10,2,8,2,10,18,8,8,18,1,14,2,3,1,14,2,8,7,10,3,8,1,10,11,8,9,18,5,4,2,19,4,4,535,19,8,4,3,10,10,8,4,10,6,8,13,18,3,4,32,19,6,4,5,10,14,8,7,10,8,8,3,10,12,8,12,10,5,8,6,10,2,8,3,10,11,8,59,10,2,8,11,10,4,8,3,10,3,8,14,10,12,4,718,},
{4,1133,19,8,4,2,18,2,8,1,10,3,8,6,10,6,8,2,10,7,8,2,10,23,8,1,18,1,15,1,8,4,18,1,8,4,15,1,14,6,15,2,8,11,10,2,8,2,15,1,14,1,3,2,14,14,16,3,17,1,14,3,16,4,14,1,17,1,16,3,14,5,17,2,14,3,17,1,16,2,14,1,17,1,16,42,14,8,3,1,16,2,3,1,15,1,8,2,15,1,14,1,16,1,3,2,14,2,15,2,8,1,14,1,3,1,16,7,3,1,14,1,8,1,10,2,8,1,15,1,14,1,3,1,16,2,3,1,14,5,15,1,18,1,8,1,10,2,8,1,14,2,3,1,14,2,3,2,14,1,8,1,10,3,8,1,10,17,8,8,18,1,14,5,18,1,8,7,10,14,8,8,18,7,4,2,19,4,4,534,19,7,4,5,10,11,8,1,10,7,8,6,7,2,8,8,4,16,19,3,4,13,19,8,4,3,18,2,10,14,9,5,10,3,8,1,10,6,8,3,10,12,8,8,18,3,8,1,10,6,8,1,18,2,8,1,10,2,8,1,10,13,8,3,10,8,8,47,10,3,8,11,10,11,8,15,10,11,4,8,19,5,4,704,},
{4,1135,19,7,4,1,18,3,10,3,8,6,10,6,8,4,10,6,8,1,10,23,8,1,15,2,8,4,15,2,8,3,15,1,14,4,15,5,8,9,10,3,8,1,18,1,14,2,3,2,14,13,16,5,14,2,17,1,16,4,14,1,17,1,16,3,17,1,14,4,17,2,14,3,17,1,16,2,14,1,17,1,16,29,17,1,16,11,14,7,15,1,14,2,16,2,14,1,8,1,9,1,8,1,14,1,3,1,16,1,3,1,14,2,15,1,8,3,15,1,14,1,16,7,3,1,15,1,8,1,9,2,8,2,14,2,3,3,14,1,15,5,18,1,8,1,10,2,18,1,14,1,3,6,14,1,8,1,10,22,8,3,10,3,8,1,18,1,14,5,8,7,10,15,8,8,18,7,4,1,19,5,4,534,19,6,4,5,18,1,8,1,10,15,8,9,7,2,8,7,10,1,4,13,19,10,4,10,19,9,4,2,10,19,9,1,10,3,8,2,10,5,8,4,10,13,8,5,18,5,10,7,18,3,10,29,8,8,10,1,8,36,10,3,8,8,10,17,8,12,10,12,4,6,19,6,4,575,18,1,3,1,18,1,4,126,},
{4,1136,19,6,4,2,18,2,10,3,8,2,10,10,8,4,10,4,8,4,10,22,8,1,18,2,8,9,15,1,14,4,15,6,8,7,10,3,8,1,18,1,14,2,3,3,14,12,17,1,16,12,14,4,17,1,14,5,17,2,14,3,17,1,16,2,14,1,17,1,16,29,17,1,16,10,14,14,8,1,9,1,8,1,14,1,16,2,3,1,14,2,8,2,10,1,8,1,15,1,14,1,16,7,14,1,15,1,8,4,15,1,14,6,15,2,14,2,15,1,18,1,8,1,10,2,18,1,14,1,3,1,16,1,3,2,16,1,3,1,14,1,8,1,10,28,8,2,18,1,14,3,18,1,8,8,10,14,8,8,18,7,4,1,19,5,4,532,19,7,4,3,18,2,10,1,8,2,10,12,8,12,7,2,8,7,10,1,4,11,19,14,4,8,19,9,4,2,10,18,9,2,10,3,8,3,10,2,8,1,10,3,8,3,10,14,8,2,10,1,18,3,4,8,18,4,10,30,8,5,10,4,8,47,10,3,8,5,10,9,8,10,10,1,8,1,10,5,8,4,10,3,4,5,19,6,4,40,19,2,4,387,19,4,4,141,3,4,4,126,},
{4,1136,19,6,4,3,18,1,10,2,8,3,10,10,8,5,10,3,8,14,10,12,8,8,9,1,10,1,9,1,8,1,15,1,14,4,15,4,14,1,15,1,18,1,8,2,9,1,8,1,9,1,8,1,10,2,8,2,14,2,3,3,14,13,16,13,14,10,17,1,14,5,16,2,14,1,17,1,16,40,14,3,15,1,14,10,8,2,15,1,14,1,16,2,3,1,14,1,15,1,8,1,9,1,10,1,8,1,15,1,14,1,16,6,3,1,14,1,15,5,14,5,15,3,14,3,15,1,18,1,8,1,10,2,8,1,14,1,3,1,16,4,3,1,14,1,8,1,10,27,8,4,18,5,8,5,10,1,8,1,10,14,8,8,18,7,4,2,19,3,4,531,19,8,4,4,10,15,8,9,7,2,8,11,10,2,18,1,4,9,19,2,3,1,19,16,4,5,19,8,4,1,10,1,8,5,10,18,8,3,10,1,8,1,18,2,8,1,10,1,8,3,10,16,4,16,10,6,8,2,10,22,8,4,10,5,8,48,10,1,8,10,10,5,8,9,10,8,8,3,10,5,4,5,19,5,4,6,19,18,4,3,19,5,4,5,19,11,4,380,19,6,4,139,18,1,3,4,4,126,},
{4,1137,19,6,4,3,10,2,8,9,10,4,8,5,10,8,8,3,10,4,8,3,10,11,8,4,10,1,8,2,10,4,8,1,15,1,14,1,3,1,14,2,15,4,14,1,15,2,8,9,18,1,14,1,3,4,14,11,3,2,16,13,14,9,17,1,14,6,16,2,17,2,16,41,14,14,15,1,14,2,3,2,14,2,15,2,8,1,9,1,8,1,15,1,14,1,16,7,14,2,15,3,14,4,15,5,14,3,15,1,8,2,10,2,15,1,14,1,16,5,3,1,14,1,8,1,10,15,8,2,10,3,8,2,10,4,8,7,15,1,14,2,8,4,10,3,8,1,10,13,8,9,18,6,4,536,19,6,4,6,10,8,8,1,10,5,8,7,7,5,8,7,18,3,8,1,10,2,4,8,19,2,3,3,19,19,4,11,9,1,8,6,10,1,8,8,10,7,8,4,10,1,18,1,3,1,18,2,10,1,8,3,10,16,4,1,19,10,4,5,18,2,10,4,8,2,10,23,8,3,10,6,8,47,10,3,8,8,10,4,8,10,10,8,8,2,10,6,4,7,19,3,4,6,19,42,4,179,19,6,4,195,19,6,4,139,19,1,3,3,4,127,},
{4,1138,19,6,4,2,10,2,8,11,10,4,8,1,10,16,8,5,10,10,8,3,10,2,8,1,10,5,8,1,15,1,14,1,3,1,14,2,15,7,8,8,18,1,15,1,14,1,3,3,14,6,15,4,14,2,3,2,14,5,17,1,16,5,17,3,14,7,17,2,14,5,17,1,16,2,17,2,16,42,17,1,14,3,17,1,14,10,3,2,14,3,15,2,8,3,14,2,3,1,16,6,3,1,14,1,15,3,14,4,15,1,8,2,15,1,14,4,15,1,8,4,15,1,14,1,16,5,3,2,8,1,10,14,8,3,10,3,8,3,10,2,8,2,18,1,15,1,18,1,8,3,15,1,14,2,15,1,8,3,10,2,8,3,10,12,8,3,15,1,8,5,18,2,8,2,18,2,4,536,19,5,4,6,10,9,8,2,10,4,8,3,7,9,8,7,18,2,8,1,10,3,4,8,19,1,3,3,19,21,4,12,10,1,8,14,10,8,8,1,18,1,3,5,18,1,10,1,9,1,10,2,4,4,10,10,4,2,19,11,4,4,18,3,10,28,8,3,10,6,8,15,18,3,8,9,18,1,8,20,10,4,8,6,10,3,8,12,10,12,8,2,10,4,4,13,19,42,4,178,19,8,4,195,19,5,4,270,},
{4,1138,19,6,4,2,10,2,8,12,10,20,8,2,18,2,8,1,10,9,8,2,10,2,8,3,10,5,8,1,15,1,14,5,15,5,18,1,8,4,18,4,15,1,14,2,3,2,14,6,15,2,8,2,15,1,14,10,17,1,16,2,14,3,17,1,16,2,14,4,17,4,14,5,17,1,16,48,14,2,16,2,14,4,3,6,14,3,15,6,14,2,3,2,16,5,3,1,14,1,15,4,14,3,15,1,18,1,15,1,14,2,3,1,14,2,15,1,8,4,15,1,14,1,16,5,3,2,18,1,8,1,10,13,8,3,10,3,8,6,18,1,14,3,15,1,8,2,14,3,15,1,8,9,10,11,8,3,7,1,8,9,18,2,4,2,19,3,4,531,19,5,4,2,10,13,8,2,10,4,8,1,18,2,7,2,8,2,7,4,8,10,10,4,4,7,19,29,4,11,10,1,8,11,10,4,8,1,10,1,18,2,3,4,16,2,3,2,18,1,4,20,19,11,4,8,10,15,8,1,10,11,8,3,10,7,8,14,18,2,8,11,18,1,8,19,10,5,8,6,10,1,8,14,10,9,8,3,18,1,8,1,10,5,18,2,4,3,10,1,4,6,19,7,4,5,19,21,4,5,19,5,4,176,19,7,4,471,},
{4,1138,19,7,4,1,10,2,8,1,18,3,8,8,10,20,8,1,18,3,8,1,10,8,8,3,10,2,8,2,10,5,8,2,15,1,14,6,15,2,18,1,15,10,14,6,15,3,14,2,15,2,8,3,15,1,14,4,15,3,14,3,17,2,14,3,17,1,16,2,17,1,14,3,16,3,14,6,16,49,17,2,16,2,14,6,3,1,16,1,3,2,14,3,15,5,14,5,3,1,16,4,3,1,14,2,15,3,14,3,15,3,14,1,3,3,14,1,15,1,18,1,8,2,15,1,14,2,16,5,3,1,14,1,18,1,8,1,10,12,8,4,10,3,8,1,18,1,8,3,18,1,14,4,8,3,7,1,14,2,15,1,8,10,10,10,8,13,18,2,4,1,19,5,4,530,19,5,4,1,10,14,8,2,10,3,8,2,18,3,8,4,7,2,8,8,10,5,4,8,19,39,4,8,8,2,10,2,4,3,10,3,8,1,10,1,18,1,3,2,16,5,3,2,4,22,19,10,4,9,18,1,10,10,8,6,10,9,8,4,10,7,8,10,18,5,8,10,18,2,8,2,10,3,8,6,7,2,8,7,10,5,8,21,10,1,8,3,10,3,8,2,18,3,8,1,10,5,8,1,10,5,18,3,4,17,19,16,4,9,19,6,4,174,19,7,4,56,19,8,4,129,18,2,4,276,},
{4,1138,19,7,4,1,10,2,8,1,18,3,8,9,10,2,8,5,10,11,8,2,18,3,8,1,10,7,8,4,10,2,8,2,10,4,8,3,15,1,14,7,15,2,18,1,15,5,14,9,18,1,8,1,18,2,15,3,8,4,15,1,14,2,15,5,14,3,17,1,14,5,16,3,17,1,14,1,17,1,16,3,14,6,16,5,17,1,16,36,17,1,14,1,17,1,16,4,17,2,16,3,14,6,3,3,14,3,15,5,14,5,3,4,14,5,15,2,14,4,15,1,14,2,3,3,14,2,15,2,8,1,15,1,14,2,16,4,3,1,14,1,15,1,8,2,10,2,8,1,10,8,8,5,10,3,8,5,18,1,7,1,14,2,18,1,8,3,15,1,14,2,15,1,8,14,10,6,8,13,18,2,4,1,19,5,4,536,10,2,8,1,10,16,8,2,18,1,7,2,8,9,18,1,8,3,10,3,8,2,4,9,19,43,4,16,18,1,3,2,16,4,3,3,4,34,19,3,4,7,10,7,18,3,8,4,10,9,8,8,10,2,8,10,18,6,8,2,10,6,8,1,18,4,8,1,10,3,8,15,10,6,8,29,18,3,8,2,10,3,8,2,10,5,8,3,18,4,4,6,18,4,4,10,19,2,4,12,18,3,4,2,19,5,4,166,19,6,4,47,19,5,4,12,19,9,4,102,19,4,4,13,18,3,3,1,18,4,4,1,18,8,4,3,19,3,4,265,},
{4,1139,19,6,4,1,10,1,8,1,18,2,8,18,10,11,8,2,18,3,8,1,10,7,8,4,10,2,8,2,10,3,8,3,18,2,15,1,14,6,15,4,14,2,15,4,14,6,15,1,8,3,18,1,15,3,8,2,10,1,8,2,15,2,8,3,15,2,14,9,16,4,17,1,16,3,17,1,14,5,17,1,16,5,17,1,16,35,17,1,14,3,16,5,17,1,16,3,14,3,15,1,14,3,3,2,14,3,15,4,14,7,3,1,14,3,15,1,14,3,15,2,14,7,3,3,14,2,15,2,8,1,15,1,14,1,3,1,16,3,3,1,14,1,15,1,8,1,10,4,8,1,10,9,8,4,10,2,8,4,18,3,7,1,18,1,8,6,15,1,7,1,8,2,15,3,8,10,10,5,8,14,18,2,4,1,19,5,4,535,18,1,8,3,10,9,8,1,10,5,8,2,18,1,14,1,7,1,8,9,18,4,10,2,8,1,10,1,18,1,4,9,19,2,4,5,19,41,4,13,18,1,3,7,18,1,4,34,19,5,4,8,10,1,18,6,8,5,10,6,8,21,10,1,18,5,10,10,8,1,18,3,8,1,10,4,8,15,10,4,8,41,10,3,8,5,7,1,18,2,8,1,10,4,18,2,3,2,18,9,4,8,18,6,4,1,18,5,4,2,19,4,4,166,19,6,4,4,18,6,4,31,18,3,4,2,19,6,4,12,19,9,4,101,19,6,4,10,18,2,3,7,18,3,8,1,18,6,4,2,19,5,4,264,},
{4,1140,19,5,4,1,18,1,8,1,18,2,8,18,10,9,8,5,18,1,8,1,10,8,8,4,10,2,8,2,10,2,8,3,18,1,8,2,18,1,15,1,14,5,15,2,14,4,15,5,14,5,18,1,8,4,18,1,15,1,18,1,8,2,9,1,8,6,15,3,14,9,16,8,17,1,14,5,17,1,16,5,17,1,16,35,17,1,14,3,16,5,17,2,16,2,14,3,15,1,14,3,3,1,14,10,15,3,14,2,16,1,3,1,14,1,15,3,14,2,15,2,14,11,15,2,18,1,8,1,15,1,14,1,16,4,3,1,14,1,8,1,10,5,8,1,10,16,8,2,18,1,7,1,18,2,7,1,8,11,15,4,8,9,10,1,8,2,10,1,8,15,18,2,4,1,19,5,4,532,10,2,18,2,8,2,10,15,8,2,18,1,14,2,7,2,8,8,18,5,4,1,18,2,4,9,19,3,4,4,19,44,4,14,19,1,4,39,19,5,4,3,19,2,4,4,18,5,8,32,10,8,8,7,10,3,8,1,18,1,8,9,10,1,8,40,10,4,8,17,18,6,8,2,10,2,8,1,18,2,14,1,3,1,18,3,8,1,18,6,10,5,18,11,3,2,18,1,4,2,19,4,4,159,19,4,4,3,19,6,4,2,18,3,3,2,18,21,4,1,10,2,4,1,10,5,18,7,4,3,19,6,4,10,19,10,4,101,19,6,4,6,18,4,3,3,16,2,3,3,18,3,8,2,10,2,18,4,4,2,19,7,4,262,},
{4,1140,19,5,4,1,18,1,8,1,18,1,8,19,10,7,8,9,10,8,8,4,10,2,8,2,10,2,8,8,15,1,14,4,15,1,14,5,15,1,8,3,18,1,15,1,14,4,18,1,8,4,18,2,8,9,15,3,14,9,17,1,16,4,17,1,16,3,17,1,14,5,17,3,16,9,17,2,16,29,14,2,17,1,16,5,17,1,14,8,3,1,16,1,3,1,14,4,3,1,14,5,8,3,14,2,16,2,14,1,15,1,8,1,15,1,14,2,15,2,14,10,15,4,8,1,15,1,14,1,16,4,3,1,14,1,8,1,10,5,8,1,10,15,8,3,18,5,8,11,15,1,14,2,15,1,8,27,18,3,4,1,19,5,4,532,10,2,8,1,18,1,8,2,10,14,8,1,18,2,14,3,7,2,8,8,18,3,10,1,4,13,19,3,4,3,19,48,4,51,19,6,4,2,19,5,4,1,18,4,10,3,8,1,10,3,8,19,18,1,8,5,10,3,8,14,10,4,8,49,10,6,8,16,7,2,8,10,18,1,14,2,18,2,8,2,18,7,8,3,18,12,3,2,18,1,4,2,19,3,4,159,19,6,4,2,19,5,4,2,18,2,3,4,18,22,10,8,18,3,8,3,18,1,4,3,19,7,4,8,19,10,4,102,19,6,4,5,18,3,3,4,16,2,3,2,14,1,18,1,8,3,10,4,8,1,18,3,4,2,19,6,4,263,},
{4,1140,19,5,4,1,18,1,8,8,7,1,8,5,10,1,8,1,10,3,8,1,10,9,8,5,10,12,8,1,10,9,8,7,18,1,14,10,15,1,8,4,15,1,14,3,15,1,18,1,8,3,18,2,8,9,15,3,14,9,17,1,16,5,17,2,16,3,14,3,17,6,16,48,14,7,16,4,3,1,14,2,3,3,14,4,8,1,9,1,8,1,15,1,14,1,16,2,14,1,15,2,8,1,15,5,14,8,15,5,8,1,15,1,14,1,16,5,14,1,8,1,10,20,8,5,15,1,18,2,15,1,8,11,15,1,14,3,15,2,8,25,18,3,4,1,19,5,4,532,10,2,8,3,10,14,8,2,18,2,14,3,7,2,8,7,18,4,10,1,4,12,19,59,4,48,19,12,4,2,10,13,8,15,18,4,8,2,10,3,8,3,10,2,8,9,10,5,8,1,18,3,8,34,18,4,8,4,10,10,8,10,7,6,8,12,7,2,8,23,18,6,4,164,19,6,4,2,19,3,4,4,18,2,14,1,18,4,8,11,18,4,8,2,10,1,8,9,10,3,8,6,18,1,4,3,19,6,4,8,19,9,4,103,19,3,4,5,18,5,14,2,3,1,17,3,14,1,7,1,8,4,10,1,8,1,10,5,8,1,18,2,4,2,19,5,4,264,},
{4,1140,19,5,4,2,10,1,8,13,10,10,8,3,10,3,8,4,10,6,8,1,10,12,8,2,10,2,8,4,10,1,8,2,15,1,14,9,15,1,8,4,15,1,14,1,15,2,18,1,8,1,18,5,8,9,15,1,14,10,16,4,17,1,16,1,17,1,14,1,17,1,16,4,17,2,16,3,17,1,14,1,17,1,16,47,17,1,14,5,3,1,16,5,3,2,14,1,3,2,14,5,15,1,8,2,15,1,14,1,16,2,14,2,15,1,8,3,15,4,14,12,15,2,14,1,17,2,16,3,14,1,15,1,10,9,8,2,10,9,8,8,15,1,8,7,7,2,15,3,14,6,8,24,18,3,4,2,19,4,4,532,18,1,8,3,10,14,8,2,18,1,14,4,7,2,8,9,18,2,10,2,4,11,19,2,4,3,19,57,4,48,19,11,4,1,10,4,9,1,10,21,8,3,18,2,8,2,10,3,8,1,9,1,8,1,4,4,8,6,10,8,8,1,18,2,8,36,18,4,8,2,10,5,8,15,7,5,8,7,7,1,8,9,7,1,8,21,18,3,8,1,10,1,4,164,19,6,4,2,19,2,4,2,18,5,8,21,10,2,8,9,10,3,8,7,18,2,4,2,19,5,4,8,19,7,4,110,18,5,8,3,7,6,8,9,10,3,8,3,10,2,4,2,19,4,4,264,},
{4,1140,19,5,4,3,10,1,8,1,18,1,7,1,8,9,10,1,8,1,10,7,8,4,10,4,8,4,10,4,8,2,10,12,8,3,10,2,8,6,15,1,14,9,15,1,8,4,15,1,14,1,15,1,18,1,8,2,18,1,15,2,18,2,8,8,15,1,14,10,17,1,16,3,17,1,14,5,16,9,14,2,17,1,16,47,14,6,16,7,3,1,14,1,3,1,14,2,15,3,14,2,8,2,15,1,14,1,16,2,14,2,15,1,8,1,9,2,8,4,15,1,14,1,3,3,14,4,3,2,14,6,17,1,16,2,3,1,14,1,8,1,10,7,8,5,10,1,8,1,10,4,8,2,18,1,8,6,15,1,7,1,8,5,7,1,14,11,15,1,8,4,18,1,15,1,8,6,7,2,8,9,18,2,4,538,18,3,8,1,10,15,8,2,18,1,14,4,7,1,8,6,10,3,8,1,18,2,4,11,19,4,4,7,19,43,3,4,19,7,4,48,19,9,4,6,18,1,10,24,8,3,10,4,18,3,4,4,10,1,8,2,10,4,18,2,10,6,8,25,7,1,8,12,18,5,8,1,10,3,8,11,7,1,8,5,7,4,8,8,7,3,8,7,7,1,8,5,7,1,8,18,10,2,4,167,19,3,4,4,18,6,8,10,10,6,8,6,10,2,8,4,10,8,8,7,18,2,4,2,19,5,4,9,19,4,4,108,18,7,8,20,10,2,8,1,18,3,4,1,18,1,4,3,19,2,4,265,},
{4,1140,19,5,4,4,18,3,8,8,10,9,8,5,10,5,8,2,10,6,8,1,10,8,8,1,10,3,8,3,10,2,8,6,18,1,14,9,15,1,8,3,18,1,15,3,18,1,8,2,18,1,15,2,18,1,8,9,15,1,14,11,16,3,17,1,14,3,17,1,16,9,17,1,14,3,16,35,17,3,16,9,14,5,3,1,16,8,3,2,14,1,15,1,8,3,15,1,14,1,15,2,14,2,3,2,14,1,15,2,8,1,10,2,8,2,9,1,8,1,15,1,14,1,3,2,14,4,3,4,14,6,16,3,14,1,8,1,10,8,8,7,10,1,8,12,15,1,18,1,8,4,15,1,14,13,15,3,14,3,7,7,8,7,18,4,4,537,18,4,8,1,10,15,8,1,18,6,8,4,10,5,4,15,19,3,4,12,19,14,4,3,19,23,3,5,19,6,4,47,19,9,4,36,18,1,4,16,18,2,10,2,8,1,10,2,8,1,18,1,8,2,10,2,8,4,10,1,8,28,18,3,8,22,7,4,8,8,7,3,8,7,7,1,8,10,10,1,8,11,10,4,4,33,19,6,4,50,19,6,4,78,18,5,8,2,10,8,8,3,10,6,8,4,10,4,8,1,10,11,8,6,18,3,4,2,19,3,4,120,18,7,8,2,10,1,8,7,10,2,8,11,18,3,4,7,19,1,4,155,19,4,4,107,},
{4,1141,19,6,4,3,18,7,8,3,10,11,8,2,10,20,8,4,10,4,8,3,10,1,8,6,18,2,15,1,14,2,3,2,14,1,18,2,8,2,18,4,15,4,8,1,18,1,15,1,8,11,18,1,14,12,17,1,16,2,17,1,14,1,17,1,16,10,14,4,16,14,17,2,16,20,14,2,16,9,17,1,14,4,16,10,17,1,14,2,15,1,8,3,15,1,14,6,15,1,8,3,10,5,8,2,15,1,14,7,3,2,17,4,16,6,14,1,8,1,10,9,8,4,10,3,8,8,18,1,8,3,18,4,8,2,18,1,14,20,7,2,8,8,7,1,18,1,14,1,18,4,4,537,18,4,8,1,10,11,8,1,10,2,8,1,18,9,10,2,8,1,4,18,19,3,4,14,19,12,4,6,19,32,4,48,19,6,4,60,10,3,18,2,8,1,10,4,8,56,7,6,8,35,7,2,18,2,10,4,4,32,19,8,4,49,19,7,4,75,18,3,8,6,10,9,8,3,10,8,8,1,10,6,8,1,10,10,8,8,4,120,18,2,4,2,18,3,8,3,10,2,8,10,10,3,8,2,7,2,8,5,18,3,4,161,19,8,4,106,},
{4,1141,19,6,4,3,10,1,18,6,8,3,10,33,8,4,10,4,8,4,10,3,8,4,18,2,14,2,3,2,14,1,18,1,8,3,18,4,15,5,8,12,18,3,14,12,17,2,14,2,17,1,16,9,14,6,16,3,17,3,16,7,17,1,14,2,17,1,16,18,14,2,16,6,14,1,17,1,16,2,14,4,17,1,16,10,14,4,15,2,14,2,3,1,14,3,18,1,8,5,10,4,8,2,15,2,14,9,17,3,16,6,14,1,8,1,10,10,8,3,10,3,8,7,18,3,8,3,18,2,14,2,18,2,14,20,7,11,14,1,18,4,4,538,18,4,8,1,10,5,8,10,18,4,10,2,4,24,19,2,4,16,19,10,4,8,19,32,4,116,18,3,10,4,8,28,7,2,8,26,7,7,8,4,7,2,8,5,7,3,8,19,7,2,14,1,18,2,10,2,8,1,9,1,10,1,4,21,10,2,4,8,19,8,4,49,19,7,4,61,18,13,8,11,10,8,8,3,10,26,8,8,10,4,9,1,10,3,4,12,10,2,4,89,10,5,18,9,8,4,10,4,8,9,10,3,8,2,7,2,18,1,8,4,18,3,4,161,19,8,4,106,},
{4,1142,19,6,4,2,10,2,8,8,10,33,8,4,10,4,8,3,10,5,8,3,18,1,15,1,14,2,3,2,14,1,18,2,8,1,18,6,8,1,15,3,8,9,18,6,14,11,17,3,14,3,17,1,16,8,14,2,15,1,14,4,16,13,17,1,14,1,17,1,16,18,14,2,16,4,14,4,17,2,14,5,16,10,14,6,3,4,14,1,15,1,8,7,10,2,8,3,15,1,14,14,17,1,16,3,3,1,14,1,8,1,10,10,8,2,10,5,8,7,18,2,8,3,18,2,14,8,15,1,14,14,7,12,18,5,4,538,18,4,8,16,10,6,4,44,19,9,4,8,19,32,4,116,18,2,8,1,10,3,8,56,7,8,8,3,7,3,8,5,7,2,8,19,7,3,18,2,10,1,8,4,9,4,10,1,4,2,10,5,9,1,10,12,18,3,4,3,19,9,4,48,19,7,4,60,18,7,8,4,18,1,8,18,10,2,8,3,10,22,8,2,10,3,8,9,10,11,4,2,10,1,4,4,10,2,4,89,10,2,18,9,8,1,10,2,8,5,10,3,8,9,10,4,8,9,18,3,4,1,19,3,4,157,19,8,4,106,},
{4,1142,19,6,4,2,10,3,8,5,10,3,8,3,10,29,8,4,10,3,8,5,10,4,8,2,18,2,15,1,14,2,3,2,18,5,15,1,14,1,18,3,8,1,15,11,18,6,14,12,17,2,14,5,16,8,14,2,15,2,14,2,16,15,17,2,16,18,3,2,16,3,14,5,17,1,14,6,17,1,16,8,17,1,14,3,3,7,14,1,15,1,8,11,15,1,14,17,17,1,3,1,14,2,8,1,10,18,8,6,18,3,8,3,18,1,14,7,18,1,15,2,14,13,7,2,14,1,7,3,14,1,7,4,8,3,18,3,4,538,10,1,8,1,18,1,8,12,15,1,18,2,8,1,10,2,8,4,9,1,4,46,19,8,4,7,19,8,4,1,19,25,4,112,10,2,18,2,8,17,10,2,8,4,10,1,8,38,7,12,8,5,7,3,8,18,7,2,8,1,18,1,10,1,8,9,10,3,18,2,10,8,8,1,18,1,10,6,18,4,4,4,19,11,4,45,19,6,4,59,18,2,3,1,18,4,8,5,18,1,8,7,18,2,8,1,18,7,8,6,10,4,8,3,10,15,8,6,10,5,8,5,10,9,8,9,9,1,4,87,18,10,8,1,10,5,8,3,10,4,8,8,10,3,8,11,18,2,4,2,19,4,4,35,18,2,4,120,19,7,4,106,},
{4,1142,19,6,4,2,10,10,8,5,10,28,8,4,10,3,8,5,10,5,8,2,18,2,15,1,14,3,18,5,14,2,15,1,18,2,8,2,15,7,14,2,15,2,18,5,14,4,15,3,14,11,16,9,14,6,16,39,14,6,16,1,17,1,14,5,17,1,16,7,14,6,3,6,14,1,15,1,8,3,10,2,8,5,18,1,15,1,14,20,15,1,10,19,8,6,18,4,8,1,18,2,14,6,15,4,14,15,7,8,8,4,18,2,4,3,19,3,4,532,18,1,10,2,8,12,18,3,8,2,10,1,8,3,10,2,4,48,19,7,4,9,19,13,3,3,19,17,4,110,10,4,8,16,10,5,8,2,10,4,8,36,7,12,8,6,7,1,8,19,7,2,8,2,10,1,8,5,10,3,8,1,10,4,18,1,10,5,8,2,18,4,8,2,10,3,8,3,10,1,4,10,19,6,4,109,18,2,3,1,14,1,18,2,8,5,18,3,8,2,18,8,15,2,14,5,18,3,8,16,10,8,8,3,10,9,8,3,10,1,8,1,10,7,8,10,9,1,4,87,18,2,8,9,10,6,8,1,10,4,8,17,10,1,8,4,18,3,4,2,19,3,4,35,18,1,19,1,4,123,19,6,4,105,},
{4,1142,19,6,4,2,10,1,8,1,10,9,8,4,10,27,8,13,10,4,8,4,18,2,15,1,14,2,18,4,14,3,15,1,18,1,8,3,15,1,14,8,15,1,18,6,14,2,15,3,8,2,15,1,14,10,16,2,17,1,14,2,16,4,14,5,16,41,14,13,17,1,16,4,17,1,14,9,3,4,14,1,15,1,8,3,10,3,8,3,18,1,15,1,14,12,17,2,14,6,15,1,8,1,10,19,8,4,10,1,8,1,18,7,14,2,3,1,14,2,18,1,15,4,14,16,7,3,8,7,18,3,4,3,19,4,4,531,10,1,8,1,10,2,8,11,18,2,8,2,10,2,9,1,4,53,19,7,4,9,19,13,3,3,19,12,3,3,19,2,4,109,10,1,8,2,10,2,8,3,10,2,8,12,10,2,8,3,10,5,8,37,7,9,8,7,7,2,8,14,7,6,8,2,10,1,8,3,10,11,18,1,8,2,18,8,8,3,10,2,8,1,10,6,4,7,19,6,4,109,18,2,3,1,18,3,8,3,18,3,14,1,18,11,15,1,14,9,18,2,8,3,15,1,14,2,18,1,8,8,10,20,8,7,10,4,8,11,18,1,4,85,18,2,8,1,10,4,8,1,10,1,8,3,10,6,8,1,10,4,8,16,10,3,8,2,18,4,4,1,19,4,4,161,19,6,4,104,},
{4,1142,19,5,4,2,10,12,8,4,10,26,8,14,10,4,8,5,18,1,15,1,14,2,18,4,14,3,15,1,8,4,15,1,14,7,15,2,8,2,18,5,14,1,15,2,8,4,15,1,14,9,16,1,14,3,15,1,14,9,16,32,17,2,16,7,17,1,14,7,15,1,14,13,15,1,14,6,3,4,15,1,8,9,18,1,14,13,16,2,14,6,15,1,8,1,10,2,8,2,10,10,8,1,10,5,8,3,10,1,8,2,18,1,14,3,18,1,14,5,18,1,8,2,15,3,14,15,7,3,8,8,18,3,4,3,19,4,4,530,10,1,8,2,10,3,8,5,7,3,18,4,8,1,10,2,4,42,9,1,10,1,4,1,9,1,4,9,19,7,4,1,19,1,4,9,19,26,3,4,19,1,4,110,10,1,8,1,10,2,8,3,10,2,8,18,10,3,8,40,7,7,8,8,7,1,8,14,7,6,8,2,10,5,8,1,18,2,8,1,10,7,18,10,8,2,10,14,4,3,19,6,4,99,19,2,4,8,18,5,8,2,18,4,14,2,18,1,8,8,18,4,15,1,14,8,18,3,14,6,18,2,8,6,10,20,8,6,10,3,8,13,9,2,4,8,18,14,4,60,18,3,8,1,10,6,8,3,10,5,8,3,10,3,8,16,10,3,8,2,18,3,4,2,19,4,4,158,18,1,4,2,19,6,4,104,},
{4,1142,19,5,4,2,10,3,18,1,8,1,10,6,8,5,10,26,8,13,10,4,8,6,18,8,14,3,18,1,8,4,14,8,15,1,8,5,18,4,15,2,8,4,15,1,14,11,15,1,8,2,15,1,14,8,16,9,17,1,16,22,17,2,16,8,14,6,15,2,14,12,15,5,14,3,3,3,14,1,15,1,8,7,18,2,14,14,16,2,14,6,15,1,8,5,10,10,8,2,10,4,8,7,14,9,8,3,15,3,14,16,7,2,8,7,18,4,4,2,19,4,4,531,8,4,10,3,8,3,7,1,14,7,18,1,10,1,4,42,10,6,4,9,19,4,4,3,19,2,4,4,19,1,4,9,19,15,3,7,19,4,4,110,8,1,10,2,8,4,10,1,8,18,10,2,8,43,7,4,8,19,10,1,8,4,7,6,8,6,18,3,8,2,10,9,8,1,18,6,8,2,10,16,4,5,19,2,4,75,19,3,4,2,19,1,4,13,19,2,4,3,19,6,4,6,18,4,8,3,18,2,14,3,18,1,8,12,18,4,14,1,18,1,14,2,18,3,14,2,3,3,14,2,15,1,14,1,15,1,8,12,10,12,8,7,10,2,8,10,10,11,18,18,4,59,18,2,8,2,10,2,8,1,10,4,8,3,10,3,8,5,10,2,8,15,10,4,8,1,18,3,4,3,19,3,4,158,18,1,3,1,18,1,4,1,19,6,4,104,},
{4,1142,19,5,4,2,10,2,8,3,10,4,8,7,10,26,8,11,10,5,8,7,18,5,8,1,18,3,14,1,18,2,8,4,14,7,15,2,8,5,18,5,15,1,8,4,15,1,14,9,15,1,8,4,15,1,14,7,3,1,16,8,17,3,16,31,14,4,15,4,14,12,15,3,14,5,3,2,14,1,15,1,8,2,10,2,8,3,18,2,14,5,15,2,14,8,17,2,14,7,8,5,10,10,8,2,10,4,8,7,18,1,14,8,18,1,8,1,18,1,15,4,14,17,7,5,8,2,18,4,4,2,19,5,4,530,8,5,10,4,8,1,18,1,14,3,3,4,18,2,4,42,10,2,8,2,18,2,4,9,19,4,4,3,19,2,4,4,19,2,4,9,19,10,3,10,19,2,4,1,19,1,4,111,8,1,10,2,8,8,10,1,8,11,10,4,8,47,7,1,8,8,7,2,8,9,10,1,8,5,7,4,8,11,10,10,8,2,18,1,8,5,10,10,8,1,10,6,4,73,10,2,9,2,10,1,4,4,19,8,4,6,19,8,4,2,19,6,4,5,10,1,8,1,18,2,8,4,18,3,14,1,18,1,8,16,18,8,14,2,3,3,14,4,15,1,8,13,10,11,8,7,10,4,8,3,10,15,8,15,18,1,8,1,18,1,8,1,18,2,4,2,10,1,18,1,4,4,19,6,4,42,18,3,8,7,10,7,8,6,10,2,8,10,10,8,8,1,18,3,10,1,4,165,18,2,4,111,},
{4,1142,19,5,4,2,10,2,8,2,10,3,8,9,10,27,8,4,10,1,8,4,10,6,8,4,10,1,8,2,18,5,8,2,18,4,8,4,15,1,14,8,15,1,8,6,18,4,15,2,8,2,15,1,14,10,8,1,10,2,9,1,8,1,15,1,14,7,3,1,16,8,17,1,14,2,16,26,17,1,16,3,17,1,14,3,15,5,14,13,15,2,14,5,3,1,14,2,8,2,10,3,8,2,18,2,14,5,15,1,8,2,15,1,14,13,17,1,14,2,15,1,8,4,10,10,8,2,10,4,8,4,10,2,8,2,14,9,15,5,14,21,7,3,15,1,18,4,4,2,19,5,4,529,10,1,8,7,10,2,8,1,18,2,3,6,18,2,4,41,18,1,8,3,18,5,10,1,18,2,4,6,19,1,4,4,19,2,4,4,19,2,4,10,19,8,3,11,19,1,4,114,9,1,10,2,8,7,10,3,8,10,10,5,8,55,7,3,8,14,7,3,8,9,10,14,8,6,10,22,4,6,18,1,4,61,8,6,4,4,19,8,4,6,19,8,4,2,19,6,4,5,10,1,8,1,18,1,8,5,18,3,15,1,18,1,8,3,10,3,8,17,18,2,14,6,15,4,8,15,10,8,8,7,10,18,8,15,10,1,8,12,10,2,4,3,19,6,4,42,18,1,8,1,10,3,8,4,10,8,8,6,10,3,8,10,10,6,18,4,4,167,18,3,4,2,18,2,4,106,},
{4,1142,19,5,4,2,10,6,8,2,18,3,8,5,10,43,8,2,10,2,8,2,15,1,14,1,18,2,8,3,18,4,8,5,15,1,14,7,15,1,8,5,18,5,15,4,14,11,8,1,10,2,8,2,15,1,14,7,3,1,16,9,17,2,16,26,14,8,15,2,14,16,15,2,14,5,3,1,14,1,15,1,8,2,10,4,8,1,18,2,14,4,15,1,8,4,15,5,14,5,17,1,14,2,17,1,14,2,8,3,18,1,8,1,10,9,8,4,10,3,8,2,18,1,8,2,10,2,8,1,18,1,14,35,7,2,15,1,18,3,4,2,19,6,4,320,19,1,4,207,10,1,8,8,10,2,8,2,18,2,3,5,18,1,4,37,10,3,18,11,10,1,9,1,8,1,9,2,4,4,19,1,4,4,19,2,4,8,19,5,4,3,19,7,3,11,19,1,4,115,18,1,10,2,8,7,10,3,8,10,10,8,8,51,7,5,8,13,7,1,8,10,10,16,8,4,10,30,4,53,19,1,4,7,9,1,10,5,4,1,18,1,4,4,19,6,4,6,19,8,4,2,19,2,4,9,10,1,18,4,8,2,18,4,14,2,18,1,8,2,10,1,8,21,18,1,14,4,15,7,8,18,10,2,8,7,10,11,8,1,10,6,8,16,10,2,8,7,18,4,8,2,10,1,4,2,19,7,4,41,18,1,10,5,8,2,10,10,8,2,10,6,8,14,18,1,4,170,10,1,18,2,3,6,4,2,19,2,4,102,},
{4,1142,19,5,4,2,10,5,8,1,18,5,8,5,10,44,8,1,10,2,8,2,18,3,8,13,15,4,14,4,15,1,8,6,18,5,15,1,14,5,3,1,14,6,15,1,8,1,9,1,10,1,9,1,8,1,15,1,14,7,3,1,16,2,17,2,16,28,17,2,16,2,17,1,14,12,17,1,14,20,3,1,14,2,8,2,10,3,8,1,18,3,14,4,15,1,8,3,15,4,8,2,15,1,14,3,16,2,17,1,14,3,15,1,8,2,18,2,8,1,10,9,8,9,18,1,8,2,10,3,8,1,18,1,14,33,7,3,18,4,4,3,19,4,4,321,19,2,4,206,10,11,8,2,18,7,4,38,10,2,18,5,8,2,18,5,8,1,10,2,8,3,4,8,19,2,4,8,19,2,3,2,19,2,4,2,19,6,3,11,19,1,4,118,10,2,8,6,10,3,8,13,10,9,8,47,7,5,8,3,7,3,8,13,10,13,8,4,10,39,4,50,19,4,4,6,10,1,18,9,4,6,19,1,4,20,18,3,4,2,18,3,10,1,18,4,8,1,18,4,14,4,18,1,8,25,18,2,8,4,15,2,14,2,15,1,8,26,10,3,8,7,10,8,8,1,18,2,8,8,10,7,8,7,18,1,14,4,18,2,4,3,19,6,4,41,18,1,10,12,8,3,10,9,8,7,18,8,4,5,19,3,4,162,10,2,18,2,3,5,18,1,4,2,19,2,4,102,},
{4,1142,19,5,4,2,10,4,8,2,18,1,14,2,18,2,8,7,10,27,8,1,10,14,8,1,10,1,8,3,18,3,8,13,15,4,14,4,15,1,8,5,18,2,8,2,18,2,14,3,3,2,14,1,3,1,14,5,15,2,8,2,10,3,9,1,8,1,15,1,14,5,3,1,16,2,14,2,17,1,16,25,17,1,14,3,16,3,14,11,16,5,17,1,14,4,3,2,14,10,3,2,14,1,15,1,8,2,10,2,8,1,18,2,14,2,3,1,14,2,15,1,8,3,15,1,14,1,15,2,8,2,15,1,14,2,17,1,16,2,17,1,14,3,8,7,10,8,8,9,18,1,8,2,10,4,8,1,18,1,14,29,7,4,8,3,18,3,4,329,19,1,4,206,10,10,8,1,18,4,4,7,19,2,4,34,10,1,8,1,18,4,8,10,10,2,8,3,4,17,19,1,3,4,19,1,4,2,19,1,3,10,19,2,4,1,19,1,4,121,10,3,8,5,10,2,8,14,10,9,8,47,7,5,8,1,7,8,8,2,7,1,8,7,10,12,8,3,10,42,4,4,18,3,4,40,19,6,4,6,18,7,8,2,10,1,4,25,18,9,8,2,18,3,8,1,18,3,14,7,7,1,8,11,10,2,8,18,15,1,14,2,15,1,8,19,10,3,8,3,10,3,8,8,10,8,8,9,10,8,8,8,7,1,14,5,18,2,4,4,19,5,4,40,18,1,8,1,10,10,8,4,10,9,8,1,18,7,3,3,18,3,4,3,19,10,4,158,10,2,18,2,3,2,18,2,4,2,19,4,4,102,},
{4,1142,19,5,4,2,10,4,8,2,14,4,18,1,8,9,10,24,8,3,10,7,8,3,10,3,8,18,18,1,8,4,15,2,14,4,15,1,8,10,18,1,15,1,14,2,3,2,14,6,15,2,8,3,10,4,8,1,15,1,14,4,3,1,16,3,14,2,17,2,16,5,17,4,16,15,14,4,17,1,16,3,17,1,14,8,17,1,16,7,14,1,3,4,14,9,3,4,14,1,18,1,8,4,18,2,14,1,3,3,14,2,15,2,14,4,15,1,8,2,15,1,14,2,17,1,16,3,14,2,15,1,8,7,10,10,8,8,18,1,8,1,10,4,8,2,14,29,7,3,8,3,18,4,4,330,19,1,4,206,10,8,18,5,4,7,19,3,4,33,18,1,10,1,8,1,18,2,8,9,7,2,18,1,8,1,10,2,8,3,10,1,4,15,19,1,3,4,19,1,4,2,19,4,3,5,19,2,4,125,9,1,10,2,8,5,10,3,8,16,10,5,8,41,7,1,8,7,7,1,8,2,7,5,8,1,7,7,8,7,10,13,8,1,10,12,8,2,10,33,8,2,18,1,4,40,19,5,4,4,18,8,8,3,10,9,8,3,10,6,18,6,8,2,18,3,14,2,18,1,8,6,18,2,8,2,18,2,14,2,18,2,14,5,7,3,8,14,18,2,8,12,15,1,14,2,15,1,8,19,10,3,8,13,10,1,8,8,10,1,8,12,10,3,8,9,7,1,14,4,7,1,18,5,4,2,19,4,4,40,18,2,8,1,10,9,8,3,10,9,8,1,18,11,4,5,19,11,4,157,10,2,18,5,4,3,19,5,4,102,},
{4,1142,19,5,4,4,10,2,8,2,18,1,14,3,18,1,8,9,10,23,8,5,10,5,8,2,18,1,8,2,10,1,8,18,18,2,15,1,8,3,15,1,14,5,15,1,8,11,15,1,14,8,15,3,8,4,10,3,9,1,8,1,15,1,14,3,16,5,14,3,17,1,16,4,17,2,14,1,17,3,16,6,17,2,16,6,14,4,17,1,16,4,17,1,14,8,17,1,16,6,3,5,14,9,3,1,14,4,8,1,10,2,8,3,18,1,14,1,3,4,14,8,15,2,14,3,17,1,16,3,14,3,8,7,10,11,8,4,10,2,8,1,18,1,8,1,10,5,8,1,14,11,7,4,14,15,7,5,15,1,18,3,4,2,19,5,4,323,19,2,4,220,19,8,4,34,10,1,8,1,18,1,8,10,7,2,14,1,18,1,8,1,10,1,8,4,4,11,19,1,4,4,19,1,3,2,19,2,4,6,19,3,4,129,18,1,10,2,8,5,10,5,8,41,10,2,8,17,7,1,8,10,7,4,8,4,7,5,8,8,10,24,8,4,10,27,8,4,10,3,4,41,19,3,4,3,18,2,3,3,18,4,8,3,10,10,8,6,10,3,8,1,18,6,8,1,18,3,14,2,18,1,8,7,18,2,8,2,18,2,14,2,18,1,8,1,18,1,14,6,7,1,18,1,8,13,18,1,15,1,18,1,8,9,10,1,8,2,15,3,7,1,8,18,10,3,8,7,10,2,8,1,10,1,8,11,10,3,8,22,7,1,14,3,7,1,8,1,18,2,3,2,18,2,4,1,19,4,4,40,10,1,18,1,8,3,10,14,8,5,18,1,14,1,3,1,18,7,4,4,19,14,4,154,18,3,8,1,18,2,3,1,18,2,4,2,19,7,4,102,},
{4,1142,19,6,4,4,10,1,8,2,7,1,18,1,14,1,18,2,8,9,10,22,8,5,10,6,8,2,18,2,8,7,10,3,8,10,18,2,8,4,15,1,14,5,15,1,8,6,18,1,8,4,15,1,14,5,15,1,18,1,15,4,8,8,15,1,14,2,3,2,16,5,14,2,17,1,16,3,17,3,14,3,17,2,16,14,17,1,14,3,17,1,16,5,14,10,17,1,16,6,3,3,14,13,15,1,8,1,10,4,8,2,14,1,3,4,14,3,3,1,16,2,17,1,14,6,17,1,16,3,14,3,15,1,8,5,10,13,8,3,10,1,8,2,18,1,8,2,10,4,8,1,14,4,15,1,14,7,7,4,14,11,7,6,8,1,7,1,15,1,14,2,18,2,4,1,19,6,4,544,19,8,4,33,18,1,10,3,8,4,7,2,8,4,7,2,14,1,18,1,8,1,10,1,8,4,4,10,19,3,4,3,19,3,4,144,8,3,10,13,8,26,10,2,8,5,10,3,8,17,7,1,8,10,7,4,8,4,7,3,8,10,10,8,8,1,10,15,8,3,10,9,8,1,10,19,8,3,10,3,4,45,18,1,3,7,14,1,18,1,8,6,10,8,8,11,18,5,8,2,18,3,8,4,10,1,8,16,7,5,8,13,18,5,8,9,10,1,8,24,10,2,8,5,18,1,8,2,10,4,8,12,10,2,8,4,18,3,7,2,8,13,7,2,14,1,7,2,8,2,18,1,3,2,18,2,4,1,19,4,4,40,10,1,8,1,18,1,8,2,10,12,8,2,18,9,4,10,19,14,4,154,18,8,4,2,19,7,4,103,},
{4,1142,19,6,4,4,8,3,7,3,18,1,8,10,10,14,8,3,10,3,8,4,10,11,8,8,10,5,8,8,18,1,8,6,15,1,14,1,15,4,18,1,8,5,18,2,8,3,18,1,14,5,18,1,8,3,18,2,15,2,8,8,15,1,14,2,3,1,16,3,3,1,14,3,16,3,17,1,14,3,17,5,16,2,17,2,16,13,17,2,16,4,17,1,14,4,17,1,16,2,14,5,16,5,3,1,14,4,3,1,14,2,15,2,14,2,3,1,14,2,15,1,8,2,10,5,8,1,18,1,3,4,14,2,3,1,16,4,14,6,17,1,16,2,17,1,14,3,15,2,18,3,8,1,10,10,8,2,10,3,8,4,18,1,8,1,10,4,8,2,14,24,15,3,7,1,8,7,15,1,14,1,3,2,18,1,4,1,19,6,4,544,19,8,4,34,8,1,10,3,8,1,18,2,8,10,10,2,8,2,10,1,4,10,19,2,3,3,19,2,4,148,10,4,8,6,10,6,8,24,10,11,8,25,7,1,8,3,7,3,8,2,7,2,8,11,10,14,8,3,10,4,8,2,10,3,8,2,10,8,8,4,10,6,8,3,10,10,8,3,10,1,4,34,19,3,4,6,18,2,3,7,14,3,15,1,8,7,10,8,8,55,18,7,8,50,10,3,8,6,10,1,8,3,10,2,8,4,7,2,14,1,7,2,8,2,7,1,8,1,7,14,8,1,18,4,4,2,19,4,4,40,10,1,8,1,18,1,8,2,10,9,8,1,18,5,3,4,18,2,4,4,19,6,4,2,19,6,4,2,19,5,4,156,18,5,10,2,4,2,19,6,4,104,},
{4,1142,19,7,4,3,18,1,8,3,7,3,8,5,10,19,8,2,10,4,8,3,10,13,8,1,10,3,8,3,10,6,8,7,18,2,8,5,15,2,8,3,15,3,8,4,18,1,8,4,18,1,14,4,18,1,8,4,18,2,15,2,8,6,15,2,14,3,3,4,14,3,17,1,16,3,17,1,14,3,17,1,16,2,17,2,16,18,17,1,14,1,16,3,17,1,14,2,17,1,16,5,14,4,16,6,14,4,3,1,14,1,15,3,14,5,18,1,8,2,10,5,8,1,18,1,14,1,3,1,14,4,3,1,16,4,14,6,17,1,16,2,14,5,15,2,18,2,8,1,10,10,8,2,10,3,8,6,10,4,8,2,14,24,15,2,8,10,14,1,3,2,18,1,4,1,19,5,4,545,19,2,4,40,10,1,8,1,10,2,8,1,18,2,7,1,8,7,10,5,4,12,19,2,3,3,19,2,4,150,10,2,8,6,10,6,8,5,7,1,8,17,10,13,8,22,7,3,8,4,7,6,8,11,10,13,8,4,10,15,8,3,10,1,8,5,10,5,8,3,10,14,4,33,19,5,4,3,18,2,3,3,14,7,7,4,8,2,7,2,8,2,10,8,8,21,10,2,8,11,10,3,8,6,10,9,8,6,18,3,8,14,10,5,8,31,10,12,8,2,10,2,8,4,7,2,14,2,7,11,14,4,7,4,8,2,18,3,4,2,19,4,4,41,18,2,8,2,10,8,8,1,18,11,4,2,19,9,4,12,19,1,4,158,10,1,18,3,10,2,4,3,19,6,4,104,},
{4,1142,19,8,4,2,18,1,8,4,7,2,8,5,10,19,8,2,10,5,8,2,10,17,8,3,10,9,8,3,18,1,15,3,8,9,15,1,14,2,15,1,18,2,8,6,18,5,8,4,18,5,8,6,15,1,14,2,3,5,14,4,17,1,16,4,14,2,17,1,16,3,17,2,16,18,14,2,16,4,17,2,16,6,14,4,16,6,3,1,14,5,15,1,8,1,15,1,14,4,15,1,8,2,10,7,8,1,18,1,14,7,3,1,17,2,14,6,17,1,16,2,14,5,15,2,18,2,8,1,10,10,8,2,10,3,8,6,10,4,8,2,14,18,7,4,14,3,15,1,8,4,10,4,8,2,18,4,4,1,19,6,4,586,18,1,9,1,10,2,8,11,10,4,4,14,19,5,4,151,18,1,10,2,8,7,10,3,8,4,7,3,8,17,10,3,8,1,10,7,8,24,7,1,8,9,7,2,8,12,10,14,8,2,10,15,8,5,10,2,8,4,10,14,18,1,10,5,4,34,19,5,4,3,18,1,3,3,14,2,15,3,14,2,7,9,8,2,10,11,8,18,10,2,8,11,10,3,8,6,10,11,8,21,10,5,8,29,10,14,8,2,10,2,8,4,7,1,14,3,7,11,14,2,17,1,14,2,7,3,8,2,18,2,4,2,19,5,4,41,18,2,8,1,10,6,8,2,18,3,4,11,19,10,4,171,10,1,18,3,4,5,19,6,4,104,},
{4,1143,19,8,4,1,10,1,8,11,10,14,8,1,10,4,8,1,10,26,8,2,10,9,8,2,18,2,15,6,8,6,15,1,14,3,18,2,8,5,18,3,8,6,18,4,8,4,10,1,8,2,18,1,14,2,3,1,16,2,3,1,14,6,17,1,16,4,17,1,14,1,17,1,16,3,17,2,16,18,17,2,16,12,14,3,17,1,16,6,3,1,14,5,8,2,15,1,14,4,18,1,8,2,10,7,8,2,18,1,14,16,16,2,14,6,15,1,8,1,18,1,8,1,10,11,8,1,10,3,8,7,10,3,8,2,14,18,7,2,15,2,7,1,14,3,8,4,10,5,8,3,18,1,4,2,19,6,4,587,18,1,8,1,10,2,8,9,10,4,4,173,10,2,8,13,18,1,7,2,18,1,8,6,18,3,8,6,10,12,8,48,10,30,8,4,10,1,8,1,10,4,8,5,10,8,4,43,19,5,4,2,18,1,3,3,14,2,15,1,8,3,14,2,15,1,8,2,15,3,14,3,7,1,8,6,10,7,8,8,10,1,8,8,10,3,8,10,10,2,8,7,10,18,8,6,10,2,8,6,10,5,8,6,10,5,8,14,10,18,8,1,10,3,8,4,7,11,8,1,7,3,17,4,7,4,8,1,18,2,4,3,19,5,4,42,18,1,8,1,10,3,8,3,18,4,4,6,19,1,4,5,19,10,4,171,10,1,8,1,18,1,4,3,19,8,4,105,},
{4,1144,19,7,4,1,10,1,8,5,18,1,8,5,10,13,8,3,10,30,8,2,10,2,8,1,10,6,8,2,18,3,15,5,18,1,8,6,18,4,8,6,18,2,8,3,10,1,8,3,18,3,8,2,10,2,8,4,15,1,14,1,3,1,16,3,3,1,14,6,17,1,16,4,14,2,17,1,16,3,17,2,16,31,14,4,16,4,3,1,16,1,3,2,14,5,15,1,8,1,15,1,14,2,15,1,18,2,8,3,10,1,8,8,15,1,14,8,17,3,14,4,17,2,14,6,15,1,8,3,10,15,8,7,10,3,8,2,7,1,14,17,7,5,14,2,15,1,7,1,8,6,10,6,4,2,19,6,4,587,18,1,8,2,10,3,8,3,10,8,4,173,10,4,8,4,18,3,8,3,18,5,8,6,18,4,8,3,18,1,10,14,8,32,18,3,8,12,10,21,8,2,10,3,8,5,18,1,8,2,10,1,8,2,10,3,8,5,10,4,4,47,19,3,4,3,18,2,3,1,14,4,15,3,14,3,15,1,8,4,15,1,14,4,7,1,8,7,10,5,8,8,10,1,8,22,10,1,8,7,10,19,8,4,10,3,8,6,10,5,8,5,10,6,8,14,10,18,8,1,10,2,8,5,7,11,8,1,7,2,6,1,17,3,6,1,7,4,8,1,18,1,4,3,19,6,4,36,19,4,4,2,18,7,3,1,18,3,4,3,19,6,4,4,19,9,4,172,18,1,8,1,18,1,4,3,19,5,4,108,},
{4,1144,19,7,4,1,10,1,8,4,18,2,8,5,10,13,8,2,10,16,8,6,10,9,8,6,10,5,8,2,18,1,8,2,18,2,15,3,18,1,8,2,15,1,8,12,18,1,14,1,18,1,8,2,10,2,8,2,18,3,8,2,10,3,8,4,15,1,14,1,3,2,16,1,3,1,14,7,17,1,16,3,17,1,14,2,17,1,16,12,17,4,16,18,14,2,15,2,14,2,16,5,3,2,14,4,3,1,14,1,15,4,18,1,8,14,18,1,14,9,17,1,16,1,17,1,14,4,17,2,14,6,15,1,8,3,10,15,8,8,10,3,8,2,7,1,14,2,7,3,14,12,7,6,15,1,7,4,8,5,10,4,18,1,4,2,19,5,4,588,10,1,9,1,8,1,10,12,4,175,10,5,18,7,8,2,18,3,8,2,10,4,8,1,18,4,10,2,18,1,4,1,10,3,9,1,8,3,10,8,8,22,7,1,18,1,8,5,18,3,8,15,10,17,8,13,18,1,8,6,10,2,8,6,10,2,18,1,4,5,19,2,4,44,18,4,14,8,17,1,3,1,14,2,15,2,18,3,15,2,14,1,7,2,8,1,7,2,8,47,10,27,8,6,10,6,8,3,10,7,8,1,10,5,8,7,10,16,8,10,7,15,6,1,17,2,6,1,7,2,8,2,7,1,8,1,18,1,4,2,19,6,4,37,19,4,4,2,18,6,3,1,18,3,4,3,19,7,4,4,19,4,4,177,18,1,8,1,10,1,4,2,19,6,4,108,},
{4,1144,19,7,4,2,10,1,8,3,18,2,8,5,10,31,8,7,10,7,8,7,10,5,8,7,15,2,18,1,15,2,14,2,15,1,8,10,18,1,14,2,18,1,8,2,10,2,8,2,18,2,8,2,10,4,8,1,18,3,15,1,14,2,3,2,14,8,17,1,16,3,17,1,14,2,17,2,16,8,17,2,14,4,17,2,16,16,14,1,15,2,8,1,15,1,14,2,16,6,14,4,3,2,14,2,15,3,8,9,18,3,8,2,18,1,14,10,16,3,14,12,15,1,8,3,10,16,8,7,10,3,8,2,7,1,14,1,7,5,14,13,7,12,8,3,10,3,18,1,4,2,19,5,4,590,18,1,4,1,10,7,4,178,18,2,10,5,18,5,8,6,10,7,4,9,18,2,10,1,18,1,10,1,8,2,10,9,8,13,10,1,8,5,7,5,8,1,18,4,8,18,10,14,8,21,10,2,8,1,7,1,14,2,18,5,4,4,19,4,4,42,18,5,15,2,14,3,17,1,16,6,3,2,14,2,15,1,8,18,18,3,8,22,10,5,8,2,10,3,8,2,10,27,8,6,10,6,8,3,10,6,8,3,10,6,8,7,10,5,8,17,7,16,6,1,17,2,6,1,7,2,8,3,7,1,15,1,18,1,4,2,19,5,4,38,19,4,4,2,18,8,4,4,19,8,4,185,18,1,8,1,10,1,4,2,19,6,4,4,19,1,18,1,4,102,},
{4,1144,19,7,4,2,10,1,8,2,18,4,8,5,10,3,8,1,10,26,8,4,10,1,8,4,10,4,8,8,10,6,8,2,10,2,8,2,18,1,15,1,18,1,15,1,14,3,15,1,8,5,18,1,8,3,18,2,14,1,18,1,8,6,18,3,8,2,10,3,8,1,18,1,15,5,14,11,17,1,16,2,17,2,14,2,17,2,16,6,17,1,14,8,17,1,16,16,14,1,15,1,8,1,15,1,14,2,3,1,16,6,3,1,14,4,3,2,14,2,15,1,18,1,8,2,10,1,8,6,18,3,8,2,18,1,14,10,16,2,17,1,14,12,15,1,8,3,10,19,8,4,10,3,8,3,7,3,8,2,7,1,14,17,7,5,14,1,7,3,8,3,10,1,8,1,18,2,4,2,19,4,4,786,18,2,8,1,10,9,18,1,4,16,18,1,8,2,10,4,8,1,10,6,8,16,7,7,18,3,8,22,10,4,8,5,10,1,8,11,18,1,8,3,18,1,8,2,7,2,8,2,10,2,8,1,7,1,3,2,18,1,4,7,19,5,4,41,18,8,15,1,14,2,3,1,16,9,3,1,14,1,18,1,8,7,15,1,18,2,8,4,18,7,8,20,10,12,8,1,10,18,8,1,10,7,8,9,10,4,8,3,10,5,8,4,10,7,8,7,10,4,8,15,7,11,6,1,7,6,6,2,7,3,8,5,18,2,4,2,19,5,4,38,19,4,4,2,18,3,4,8,19,9,4,185,18,3,4,2,19,6,4,4,18,2,4,102,},
{4,1144,19,7,4,2,18,1,8,1,18,6,8,4,10,3,8,2,10,26,8,2,10,2,8,3,10,5,8,7,10,12,8,2,15,7,8,4,18,3,8,3,18,3,8,5,15,1,14,2,18,1,8,6,18,7,15,3,14,7,17,5,14,1,17,2,16,7,17,1,14,7,17,2,16,16,14,5,16,9,3,1,14,3,3,2,14,2,15,1,8,2,10,3,8,2,10,1,8,3,18,1,8,3,18,3,15,1,14,7,17,1,16,1,17,1,14,12,15,1,8,2,10,21,8,3,10,4,8,2,7,3,8,2,7,1,14,13,7,1,14,4,7,8,8,4,18,3,4,2,19,4,4,787,10,10,8,1,4,19,10,4,18,2,10,6,8,15,18,1,7,1,14,1,7,2,18,2,8,47,18,2,8,2,18,1,14,1,7,3,8,1,10,3,8,1,18,1,3,2,18,1,4,7,19,3,4,43,18,10,3,7,16,4,3,2,18,1,8,6,15,2,18,3,8,2,18,11,8,2,18,4,8,11,10,31,8,1,10,2,8,1,10,4,8,5,10,1,8,3,10,4,8,4,10,4,8,3,10,8,8,7,10,4,8,15,7,10,14,4,7,1,14,5,7,2,8,6,18,1,4,3,19,5,4,38,19,4,4,2,18,2,4,8,19,6,4,194,19,5,4,109,},
{4,1146,19,6,4,1,10,1,8,1,18,6,8,6,10,30,8,1,10,3,8,3,10,3,8,8,10,12,8,2,15,3,18,1,15,2,8,4,18,1,14,2,18,1,8,3,18,2,8,5,15,1,14,3,18,1,8,4,18,7,8,3,15,2,14,11,17,3,16,7,17,2,14,6,17,2,16,19,17,2,16,3,17,1,14,3,3,1,16,3,3,1,14,3,3,1,14,2,15,1,8,1,10,7,8,12,15,2,14,5,17,1,14,13,15,1,8,2,10,18,8,1,10,2,8,3,10,4,8,2,7,3,8,2,7,1,14,11,7,4,14,3,7,9,8,3,18,1,3,2,18,1,4,2,19,3,4,822,18,1,10,2,8,1,10,4,8,13,7,1,18,1,14,1,7,2,18,3,8,46,18,1,14,2,18,2,14,2,7,3,8,1,10,4,18,3,4,57,18,13,3,7,18,3,8,2,18,1,14,4,18,3,8,1,18,22,8,7,10,4,8,2,10,26,8,2,10,7,8,6,10,4,8,4,10,5,8,1,10,8,8,8,10,4,8,14,7,3,8,2,7,5,14,1,17,2,14,7,7,1,8,7,10,1,18,1,4,3,19,4,4,40,19,1,4,15,19,1,4,198,19,3,4,111,},
{4,1148,19,4,4,1,10,2,8,2,18,4,8,6,10,30,8,1,10,3,8,3,10,2,8,9,10,6,8,8,15,5,8,5,18,3,8,7,10,1,8,2,15,1,14,3,18,1,8,2,10,1,8,2,18,3,8,2,18,3,8,1,15,3,14,11,17,1,16,8,17,11,16,22,17,1,14,3,15,2,14,1,16,4,3,1,14,5,15,1,8,1,10,7,8,8,10,3,8,2,15,2,14,4,17,1,14,13,15,1,8,2,10,18,8,1,10,2,8,3,10,4,8,2,14,2,7,4,14,10,7,3,8,1,7,1,14,3,7,3,14,2,7,5,8,2,18,4,4,827,10,2,8,3,10,3,8,14,18,7,8,45,18,1,14,4,18,2,7,4,8,2,10,4,4,75,3,2,18,6,14,2,17,1,3,1,14,2,18,3,8,3,18,9,8,1,18,14,8,10,10,6,8,3,10,16,8,2,10,8,8,4,10,5,8,5,10,11,8,10,10,3,8,15,7,2,8,4,7,4,14,1,17,3,14,4,7,2,8,7,10,2,4,256,19,1,4,120,},
{4,1148,19,4,4,2,10,2,8,7,10,2,8,2,10,23,8,1,10,5,8,2,10,3,8,3,10,2,8,9,10,5,8,10,15,4,8,9,10,7,8,1,18,1,14,3,18,1,8,2,10,1,8,3,18,2,8,3,18,1,15,5,14,5,3,1,14,6,17,1,16,7,17,2,14,2,17,2,16,14,17,2,16,11,14,3,15,1,8,1,9,1,8,1,15,1,3,1,16,3,3,1,14,5,18,1,8,1,10,6,8,2,18,4,8,2,10,5,8,2,15,1,14,19,18,1,8,1,10,17,8,7,10,3,8,2,7,1,14,2,7,4,14,9,7,2,8,3,7,1,14,2,7,3,14,4,7,4,8,1,18,4,4,829,8,4,10,4,8,19,18,2,8,44,14,4,18,1,8,3,7,1,15,1,14,1,18,3,4,84,18,1,3,3,16,2,14,3,15,1,8,7,18,5,8,8,18,1,8,1,18,2,8,3,18,3,8,8,10,5,8,4,10,15,8,3,10,7,8,5,10,5,8,5,10,11,8,11,10,1,8,11,7,3,8,1,7,10,14,9,18,1,8,6,10,3,18,1,4,255,19,5,4,117,},
{4,1149,19,3,4,2,10,4,8,4,10,3,8,2,10,23,8,2,10,4,8,4,10,1,8,3,10,1,8,2,18,2,8,6,10,4,8,3,18,2,8,6,18,1,15,1,14,1,15,1,8,8,10,7,8,2,15,1,14,3,18,1,8,2,10,1,8,3,18,2,8,2,18,2,15,1,14,8,3,2,17,1,14,5,17,1,16,7,17,2,14,3,17,1,16,4,17,2,16,8,17,1,16,12,14,1,15,2,8,1,10,3,15,1,3,1,16,3,3,1,14,5,18,1,8,1,10,5,8,2,18,6,8,1,10,5,8,2,15,1,14,19,15,1,8,1,10,10,8,1,10,6,8,6,10,4,8,2,7,1,14,3,7,4,14,7,7,2,8,5,7,6,6,2,14,1,7,3,8,3,18,3,4,828,10,1,8,4,10,4,8,19,18,3,8,34,10,4,8,5,14,4,8,2,10,1,8,1,18,1,3,2,18,2,4,67,19,5,4,14,18,2,3,3,14,1,7,3,8,10,15,1,8,17,18,3,8,8,10,4,8,5,10,13,8,3,10,7,8,5,10,6,8,5,10,11,8,21,18,1,7,3,14,3,3,1,14,2,18,1,14,3,18,2,14,1,3,4,18,5,10,4,8,1,10,3,9,1,4,257,19,7,4,114,},
{4,1149,19,3,4,2,9,1,10,11,8,2,10,18,8,2,10,2,8,2,10,4,8,4,10,1,8,3,10,1,8,2,18,3,8,5,10,4,8,2,18,4,8,5,15,1,14,2,15,1,8,8,10,7,8,2,15,1,14,2,18,1,8,6,18,6,15,1,14,9,3,1,16,3,14,5,17,1,16,3,17,5,14,3,17,1,16,4,17,3,16,8,17,1,16,10,14,2,8,2,10,4,15,1,3,1,16,3,3,1,14,5,18,1,8,2,10,4,8,1,18,1,14,3,18,3,8,2,10,1,8,5,15,1,14,8,17,1,14,11,8,1,10,10,8,1,10,6,8,6,10,4,8,2,7,1,14,4,7,4,14,5,7,3,8,5,7,11,8,3,18,4,4,828,9,1,8,4,10,3,8,20,18,3,8,20,10,1,8,7,10,10,8,4,7,1,14,3,7,1,8,1,10,2,8,1,3,2,18,1,4,69,19,6,4,14,18,3,14,2,7,4,8,27,18,3,8,10,10,2,8,5,10,13,8,2,10,6,8,2,18,3,8,2,10,25,8,17,18,2,14,5,3,3,18,9,3,1,18,3,10,7,18,2,10,2,8,1,9,1,4,257,19,7,4,114,},
{4,1155,18,1,4,5,10,5,8,4,10,15,8,3,10,2,8,2,10,4,8,4,10,1,8,6,18,2,8,6,10,4,8,11,15,1,14,2,8,2,10,1,8,11,10,2,8,2,15,2,18,1,8,5,18,2,14,3,18,2,15,2,14,10,16,3,17,1,14,5,17,8,14,4,16,3,17,4,16,8,17,1,16,5,17,1,14,1,17,1,16,2,14,2,8,1,9,1,10,2,9,1,8,1,14,1,3,1,16,3,3,1,14,5,18,2,8,1,10,4,8,1,18,1,14,3,18,3,8,4,15,1,8,3,15,1,14,8,17,1,14,6,15,1,14,4,8,1,10,17,8,6,10,4,8,2,7,1,14,1,7,1,14,2,7,4,14,5,7,2,8,5,7,10,8,5,18,4,4,2,19,5,4,821,9,1,8,3,10,3,8,21,7,1,18,2,8,8,10,4,8,7,10,3,8,6,10,9,8,5,7,2,14,2,7,1,8,3,18,1,3,2,18,1,4,69,19,6,4,15,10,2,18,1,14,2,7,4,8,38,10,4,8,3,10,3,8,3,10,8,8,1,10,7,8,1,18,1,14,2,18,1,8,1,10,16,8,4,10,9,8,14,18,1,7,4,14,1,18,2,3,2,18,11,4,11,10,2,8,2,4,257,19,7,4,13,19,6,4,95,},
{4,1162,10,5,8,3,10,7,8,2,10,6,8,2,10,3,8,2,10,4,8,5,10,1,8,2,10,2,8,1,18,3,8,4,10,5,8,11,15,2,18,1,8,2,10,1,8,2,18,1,15,1,18,1,8,4,10,4,8,2,18,3,8,5,18,1,14,4,15,1,18,2,15,2,14,4,15,3,14,2,16,3,17,1,14,10,17,3,14,4,17,1,16,2,17,4,16,15,14,3,17,1,14,2,15,1,8,1,10,2,8,1,15,1,14,1,16,4,3,2,14,3,15,3,18,1,8,1,10,3,8,1,18,1,14,2,18,2,8,5,18,2,15,4,14,8,17,2,14,10,8,2,10,16,8,6,10,4,8,2,7,3,14,2,7,6,14,3,7,4,8,3,7,7,8,8,18,2,8,1,18,1,4,2,19,6,4,820,9,1,8,1,10,4,8,27,10,3,8,3,10,5,8,6,10,3,8,6,10,8,8,4,18,2,14,5,18,6,4,70,19,5,4,13,19,2,4,3,18,1,14,3,7,4,8,28,18,2,8,4,10,12,8,5,10,15,8,1,18,4,8,1,10,15,8,6,10,7,8,14,18,2,14,3,18,6,4,23,10,1,8,1,9,1,18,1,4,256,19,7,4,11,19,9,4,94,},
{4,1162,10,5,8,1,10,3,8,11,10,8,8,1,10,5,8,5,10,4,8,4,18,3,8,1,10,5,8,20,18,1,15,1,18,1,8,2,10,5,8,3,18,5,8,3,18,6,8,2,18,1,15,2,14,2,15,4,14,2,3,1,14,11,17,5,14,4,17,6,16,16,17,1,14,4,17,1,14,1,8,1,10,1,8,1,15,1,14,1,16,5,3,1,14,2,15,7,8,6,18,3,8,3,10,2,8,2,18,1,14,7,3,2,14,2,3,2,14,10,18,1,8,1,10,10,8,3,10,2,8,3,18,2,8,3,10,3,8,2,7,1,14,2,7,6,8,2,7,3,14,3,7,4,8,4,7,4,8,11,18,1,4,2,19,5,4,820,9,1,10,2,18,1,8,26,10,6,8,3,10,6,8,4,10,5,8,4,10,9,8,3,18,2,3,6,18,3,4,91,19,4,4,2,18,1,14,3,18,1,8,17,7,3,15,1,8,7,7,2,14,2,7,1,8,3,10,13,8,4,10,14,8,7,10,9,8,2,10,4,8,6,10,5,8,4,10,3,8,7,18,3,3,3,18,2,4,27,18,2,10,1,8,1,4,258,19,5,4,10,19,11,4,94,},
{4,1162,10,9,8,2,18,2,8,8,10,13,8,5,10,2,8,6,18,3,8,1,10,4,8,20,18,2,14,1,15,1,18,1,8,1,10,5,8,1,18,10,8,9,15,8,14,14,17,3,14,6,17,3,14,3,17,1,16,16,17,1,14,3,16,1,17,1,15,1,8,2,14,1,16,5,3,2,14,1,15,10,8,9,10,5,8,1,18,1,14,5,3,9,14,8,18,1,8,1,10,2,8,2,10,5,8,5,10,1,8,3,18,3,8,2,10,3,8,2,7,1,14,6,7,2,8,3,7,2,14,4,7,3,8,4,18,4,8,11,18,2,4,2,19,4,4,820,10,2,18,3,8,16,10,4,8,2,10,10,8,2,10,13,8,7,10,8,18,6,3,2,18,3,4,94,19,5,4,1,18,1,14,1,18,2,8,6,18,2,8,10,7,3,8,7,7,1,14,4,7,1,8,5,10,9,8,6,10,12,8,5,10,13,8,2,10,5,8,5,10,5,8,7,18,3,8,2,18,9,4,28,18,3,10,1,4,258,19,4,4,11,19,11,4,94,},
{4,1162,10,9,8,2,18,3,8,9,10,12,8,11,18,3,8,2,10,4,8,10,18,2,8,8,18,2,14,1,15,1,18,1,8,1,10,5,8,1,18,4,14,4,15,1,18,2,8,9,15,2,14,1,15,3,14,15,17,3,14,6,17,2,14,12,17,2,16,7,17,1,14,2,17,1,16,2,14,1,8,1,15,1,14,1,16,4,14,5,15,1,14,1,15,5,8,7,10,10,18,2,14,5,3,2,14,1,3,4,14,8,18,1,8,2,10,2,8,2,10,5,8,4,10,3,8,2,18,4,8,2,10,1,8,3,7,1,14,5,7,9,14,3,7,2,8,5,18,2,7,1,18,1,8,4,7,1,8,6,18,2,4,2,19,4,4,821,10,1,18,3,8,16,10,29,8,3,18,1,14,2,18,3,10,6,18,4,4,4,18,1,4,97,19,5,4,2,18,2,8,8,18,3,8,18,7,2,14,2,7,2,8,21,10,12,8,4,10,14,8,2,10,6,8,7,10,3,8,3,14,2,3,1,14,1,18,9,4,33,18,2,4,273,19,12,4,94,},
{4,1162,10,10,8,2,18,3,8,2,10,1,8,7,10,10,8,11,18,3,8,1,10,5,8,10,18,2,8,8,18,1,15,1,14,1,15,1,18,1,8,1,10,5,8,1,18,3,14,4,15,1,18,2,8,9,15,2,14,9,3,1,17,3,14,16,17,3,14,13,17,2,16,5,14,4,16,2,14,1,15,1,14,2,16,3,14,9,15,1,8,5,15,3,8,2,10,10,8,1,18,1,14,8,3,2,14,5,15,4,18,1,8,3,10,9,8,4,10,4,8,2,18,3,8,6,7,1,14,4,7,11,14,2,7,2,8,6,7,1,8,6,7,1,8,6,18,2,4,2,19,4,4,820,10,1,18,4,8,10,10,3,8,2,10,30,8,1,18,3,14,1,18,3,4,18,19,2,4,93,19,4,4,2,18,2,8,3,10,2,8,5,18,2,8,17,7,2,14,2,7,1,8,17,18,4,8,3,10,3,8,3,10,4,8,5,10,14,8,2,10,6,8,11,18,1,14,1,3,4,18,2,4,10,19,3,4,28,18,2,4,272,19,11,4,95,},
{4,1162,10,11,8,1,18,2,8,2,10,4,8,5,10,10,8,1,10,1,8,8,18,3,8,2,10,4,8,21,18,1,15,1,14,1,18,1,8,2,10,5,8,2,18,7,8,5,10,1,8,4,15,2,14,11,17,3,14,15,17,1,16,2,17,1,14,5,17,3,16,1,17,1,14,5,17,1,16,4,14,10,16,3,14,9,15,2,8,3,15,2,14,1,15,1,18,1,8,1,10,10,8,1,18,1,14,5,3,4,14,5,15,4,18,2,8,2,10,11,8,2,10,5,8,2,18,3,8,6,18,1,14,1,7,14,14,3,7,1,8,19,18,4,4,1,19,5,4,819,10,1,8,1,18,2,8,11,10,35,18,6,4,13,19,9,4,92,19,4,4,3,18,1,8,3,10,3,8,23,18,1,15,1,14,1,7,2,8,9,15,2,18,1,8,19,10,3,8,7,10,13,8,1,10,8,8,8,18,1,14,1,3,5,18,2,4,3,19,1,4,1,19,9,4,303,19,7,4,98,},
{4,1162,10,11,8,2,18,1,8,2,10,5,8,5,10,9,8,1,10,1,8,7,18,3,8,2,10,5,8,21,18,4,8,2,10,4,8,2,18,6,8,7,10,1,8,2,15,2,14,14,17,1,14,16,17,3,14,5,17,1,16,5,17,1,14,3,17,1,16,4,17,1,14,1,15,4,14,5,16,2,14,5,3,1,14,5,15,5,14,3,15,1,8,2,10,9,8,1,18,1,14,6,3,2,14,3,15,7,18,1,8,3,10,18,8,12,7,1,15,1,7,3,8,2,7,12,8,20,18,3,4,2,19,4,4,819,18,1,8,1,18,2,8,10,10,28,18,3,10,4,4,1,18,5,4,11,19,12,4,92,19,4,4,2,18,2,8,4,10,1,8,25,18,2,8,6,10,1,8,4,15,6,18,1,8,5,18,2,15,1,18,2,8,4,10,2,8,13,10,22,8,3,14,1,3,5,18,3,4,3,19,12,4,307,19,3,4,98,},
{4,1162,10,12,8,5,10,5,8,4,10,8,8,9,18,4,8,2,10,5,8,21,18,4,8,2,10,4,8,1,18,6,8,10,15,1,14,41,16,7,17,2,16,6,14,2,8,4,14,5,3,2,14,5,3,1,14,5,15,5,14,3,15,1,18,1,8,1,10,10,8,1,18,2,14,8,15,5,14,3,15,1,8,3,10,5,8,1,10,12,8,15,7,1,8,3,7,5,8,2,7,5,8,20,18,4,4,1,19,4,4,389,19,2,4,427,18,3,8,11,10,19,8,1,10,2,4,29,19,14,4,92,19,4,4,1,18,2,3,1,18,1,8,43,15,3,14,3,18,1,8,4,18,1,14,4,18,1,8,2,10,3,8,8,18,3,8,2,10,23,8,1,18,1,14,1,3,1,16,1,3,2,18,1,4,6,19,12,4,408,},
{4,1162,10,1,8,2,10,10,8,6,10,3,8,3,10,9,8,2,10,2,8,6,18,2,8,2,10,5,8,17,18,2,8,3,18,3,8,3,10,3,8,2,18,1,14,1,18,3,8,10,15,2,14,17,7,4,14,19,17,1,16,15,14,1,15,1,8,4,14,12,3,1,14,13,15,1,18,1,8,2,10,8,8,4,18,2,15,2,14,3,15,1,8,4,15,1,14,3,15,1,8,3,10,4,8,1,10,15,8,13,7,1,8,4,7,3,8,4,7,5,8,20,18,3,4,1,19,5,4,376,19,14,4,426,18,3,8,1,10,2,8,7,10,23,4,30,19,14,4,92,19,4,4,2,18,3,8,44,15,2,14,3,15,1,18,1,8,2,18,1,15,1,14,5,18,1,8,6,15,2,8,4,18,4,8,2,10,21,8,2,18,1,3,4,18,1,4,7,19,11,4,409,},
{4,1162,18,1,8,1,10,11,8,7,10,2,8,3,10,9,8,1,10,3,8,9,10,6,8,17,18,2,8,4,18,1,8,4,10,3,8,2,18,1,14,1,18,2,8,10,18,1,15,3,14,15,15,5,14,19,16,8,17,1,16,7,14,1,15,1,8,3,15,1,14,23,15,3,18,2,8,3,10,5,8,8,18,2,15,1,14,1,15,2,8,3,15,3,14,2,15,1,8,3,10,9,8,5,10,6,8,10,18,1,8,2,7,2,8,12,7,4,8,19,18,3,4,2,19,4,4,376,19,14,4,424,18,3,8,3,10,2,8,7,10,21,4,5,19,4,4,23,19,7,4,99,19,5,4,2,18,2,8,16,10,3,8,24,18,2,15,1,14,4,15,4,14,6,15,1,18,1,8,5,7,2,8,10,10,6,8,2,10,11,8,4,18,4,4,2,19,2,4,1,19,2,4,3,19,2,4,307,19,3,4,4,18,2,4,101,},
{4,1162,18,1,8,2,10,12,8,10,10,14,8,8,10,6,8,17,18,3,8,7,10,3,8,2,18,4,8,10,18,1,15,1,14,1,15,1,14,5,15,3,14,7,15,1,8,4,15,1,14,19,16,7,17,2,16,7,14,2,15,3,14,24,15,1,8,3,18,2,8,2,10,4,8,9,18,3,15,3,8,4,18,3,15,1,8,3,10,10,8,5,10,6,8,13,7,2,8,14,7,2,8,21,18,2,4,2,19,3,4,376,19,13,4,424,18,4,8,3,10,2,8,6,10,19,4,6,19,7,4,23,19,1,4,104,19,6,4,2,18,1,8,15,10,5,8,11,18,3,8,4,18,5,8,1,18,3,15,4,18,4,15,2,14,5,15,1,8,17,10,4,8,3,10,11,8,3,18,3,4,3,19,6,4,312,19,4,4,3,18,3,4,100,},
{4,1162,18,2,8,1,10,8,8,2,10,3,8,9,10,15,8,6,10,7,8,17,18,3,8,7,10,3,8,2,18,2,8,12,18,2,15,1,14,7,15,3,14,6,15,1,8,4,15,1,14,19,16,7,17,4,16,5,17,1,14,5,17,1,16,1,14,20,15,2,8,3,18,2,8,2,10,3,8,1,18,3,8,7,18,4,15,4,18,4,8,4,10,2,8,1,10,7,8,5,10,6,8,29,7,2,8,14,7,1,8,6,18,1,8,1,4,381,19,8,4,35,18,4,4,3,10,1,4,386,18,4,8,4,10,1,8,5,10,17,4,8,19,8,4,130,19,5,4,1,18,1,8,16,10,4,8,11,18,3,8,4,18,6,8,3,18,2,8,7,15,2,14,5,7,1,8,9,10,4,8,3,10,4,8,3,10,11,8,2,18,3,4,4,19,6,4,312,19,4,4,3,18,3,4,3,19,2,4,95,},
{4,1162,18,2,8,1,10,7,8,3,10,4,8,10,10,14,8,4,10,8,8,17,18,1,15,1,18,1,8,6,10,4,8,1,18,2,8,12,18,3,15,1,14,7,15,4,14,5,15,1,8,4,15,1,14,6,15,3,14,12,3,1,14,1,3,1,17,1,16,2,17,2,14,4,17,1,16,3,14,4,17,1,16,2,14,4,17,1,14,15,15,1,8,3,15,1,18,2,8,2,10,2,8,2,18,2,8,11,15,1,14,1,15,2,18,2,8,5,10,12,8,1,10,10,8,28,7,2,8,13,7,2,8,8,10,1,4,8,19,3,4,370,19,4,4,5,18,6,4,22,18,9,10,2,8,2,10,1,4,384,18,3,8,10,10,11,4,10,19,14,4,130,19,5,4,1,18,1,7,1,18,2,8,1,18,1,8,1,18,1,8,23,18,4,8,5,18,5,8,7,10,3,8,3,15,1,14,3,15,2,7,2,8,7,10,6,8,1,10,6,8,2,10,11,8,2,18,2,4,6,19,5,4,312,19,6,4,2,18,2,4,2,19,4,4,94,},
{4,1162,18,2,8,2,10,6,8,4,10,4,8,9,10,14,8,4,10,7,8,18,18,3,8,6,10,4,8,1,18,3,8,9,18,2,15,3,14,8,15,5,14,5,15,1,8,3,15,1,14,5,15,4,14,1,15,1,14,15,16,3,14,5,16,4,17,1,14,3,16,2,17,1,14,19,15,7,8,2,10,3,8,14,15,1,14,2,15,2,8,7,10,4,8,1,10,17,8,44,7,1,8,7,10,2,4,7,19,5,4,377,18,2,3,3,18,2,4,20,18,10,8,1,10,2,8,2,10,2,4,381,18,3,8,5,10,1,8,5,10,10,8,2,4,7,19,17,4,131,19,1,4,4,18,1,7,1,15,3,18,5,8,20,18,5,8,6,18,3,8,7,10,5,8,1,15,2,14,2,15,2,8,1,7,2,8,7,10,24,8,4,18,2,4,2,19,2,4,1,19,4,4,314,19,6,4,2,18,3,4,1,19,4,4,94,},
{4,1162,18,3,8,1,10,7,8,3,10,7,8,6,10,15,8,2,10,7,8,19,18,2,8,6,10,5,8,1,18,3,8,9,18,1,15,4,14,8,15,5,14,5,7,1,8,3,15,1,14,5,15,3,14,2,15,2,14,14,16,4,14,3,17,1,16,5,14,3,16,2,14,24,15,2,18,1,8,2,10,3,8,7,18,1,8,3,10,2,8,1,15,1,14,3,18,2,8,3,10,1,8,4,10,1,8,3,10,11,8,1,10,4,8,44,7,2,8,6,10,3,4,6,19,5,4,375,18,3,3,4,18,10,4,12,18,10,8,1,10,7,4,379,18,3,8,4,10,4,8,4,10,11,4,7,19,13,4,141,18,2,15,1,14,6,18,1,8,20,18,4,8,11,18,2,15,1,18,1,8,3,10,3,8,2,15,4,8,6,7,3,8,3,10,20,8,1,10,3,8,3,18,2,4,2,19,6,4,316,19,6,4,2,18,3,4,1,19,4,4,94,},
{4,1162,18,3,8,2,10,6,8,4,10,7,8,5,10,15,8,2,10,6,8,2,18,2,8,15,18,3,8,6,10,5,8,1,18,3,8,3,10,3,8,4,18,6,15,1,14,4,15,2,8,2,15,1,7,2,14,5,8,3,15,1,14,6,15,1,14,3,15,1,14,14,3,1,16,12,17,3,16,2,17,1,14,3,15,4,14,18,15,1,18,1,8,2,10,3,8,5,18,1,15,2,18,1,8,5,15,1,14,3,15,1,18,1,8,8,10,2,8,2,10,3,8,3,10,10,8,12,10,1,8,32,7,1,8,5,10,4,18,1,4,4,19,8,4,363,10,1,4,2,18,5,10,3,18,12,3,4,18,4,4,6,10,5,18,6,8,3,10,7,4,376,18,5,8,3,10,6,8,3,10,5,4,13,19,10,4,144,18,3,14,7,7,2,8,18,18,3,8,12,18,1,14,3,15,3,18,1,8,4,15,3,8,7,7,3,8,9,10,1,8,2,18,1,8,1,10,2,8,2,10,2,8,1,10,2,8,1,10,3,8,2,18,3,4,2,19,6,4,316,19,7,4,1,18,3,4,1,19,4,4,94,},
{4,1162,18,2,8,2,10,2,8,2,10,4,8,4,10,6,8,3,10,24,8,3,18,1,8,24,10,6,8,1,18,3,8,2,10,5,8,3,18,2,8,4,18,1,15,2,14,1,15,2,18,1,15,1,8,1,15,2,14,6,15,1,8,2,15,1,14,24,3,1,16,17,14,4,15,1,8,3,15,1,14,2,17,1,16,1,17,1,14,12,15,2,18,1,8,7,18,3,15,1,14,3,18,1,8,1,10,1,8,2,15,1,14,4,18,2,8,7,10,7,8,3,10,10,8,51,10,3,8,1,18,3,4,3,19,7,4,362,10,3,18,5,8,1,10,4,8,4,10,2,8,2,18,4,3,3,18,4,10,16,8,2,10,10,4,374,10,1,18,5,8,3,10,6,8,2,10,2,4,17,19,10,4,145,18,3,14,5,18,2,8,34,18,1,14,3,15,2,14,2,15,4,8,9,7,4,8,4,18,1,15,1,14,1,18,2,8,2,18,3,8,3,18,2,8,3,10,4,8,1,18,4,4,2,19,7,4,316,19,8,4,5,19,3,4,94,},
{4,1162,18,1,8,4,10,1,8,2,10,4,8,5,10,6,8,1,10,25,8,7,10,2,8,2,18,3,8,13,10,6,8,2,18,2,8,3,10,5,8,3,18,2,8,4,15,7,7,7,14,4,15,4,14,15,15,3,14,4,3,1,16,3,14,7,17,1,16,5,17,1,14,5,15,1,8,3,15,1,14,1,17,1,16,3,14,9,15,7,14,3,15,1,8,2,14,7,18,1,10,2,8,2,15,1,14,6,18,2,8,5,10,6,8,4,10,2,8,2,10,7,8,49,10,4,8,2,18,2,4,5,19,5,4,362,10,1,8,19,10,2,8,4,18,2,8,2,10,30,4,373,10,1,8,4,18,1,8,4,10,9,4,3,19,5,4,11,19,5,4,149,18,8,8,27,10,3,8,4,18,3,14,2,15,1,8,4,15,3,8,4,15,2,8,5,7,2,15,1,8,3,15,1,14,1,3,4,18,2,10,5,18,6,8,3,18,3,3,1,18,2,4,1,19,7,4,317,19,8,4,102,},
{4,1162,10,1,8,2,10,9,8,5,10,32,8,6,10,3,8,2,18,2,8,13,10,6,8,7,10,6,8,3,18,2,8,12,7,6,14,4,7,1,15,5,14,12,8,4,15,1,14,3,3,1,16,2,14,2,15,4,14,3,16,5,14,3,15,5,8,1,15,2,14,1,17,1,16,3,17,1,14,7,15,2,8,4,15,1,14,2,3,1,14,1,15,1,8,2,14,4,15,2,14,1,18,1,10,2,8,2,18,9,8,6,10,4,8,1,10,6,8,2,10,8,8,4,10,2,8,7,7,1,8,34,10,4,8,2,18,3,4,4,19,5,4,348,18,4,10,2,4,6,10,2,8,20,10,40,4,372,18,1,8,11,10,8,4,3,19,5,4,166,18,7,8,14,18,1,8,13,10,4,8,5,18,1,8,13,15,1,14,2,15,2,7,3,15,2,18,3,14,1,3,5,18,2,10,5,18,1,3,4,18,9,4,1,19,7,4,319,19,8,4,101,},
{4,1161,18,2,8,2,10,7,8,6,10,33,8,4,10,5,8,16,10,7,8,5,10,7,8,20,7,4,14,5,15,2,8,2,15,2,14,9,15,1,8,5,15,1,14,8,15,1,8,2,15,2,14,2,16,4,14,2,15,1,8,3,15,4,14,3,17,1,16,4,17,1,14,7,15,1,8,2,9,1,8,2,14,1,3,2,14,1,15,1,8,2,15,1,14,1,15,1,18,3,15,1,8,1,10,2,8,1,18,3,8,14,10,3,8,1,10,16,8,3,10,4,8,41,10,4,8,2,18,4,4,4,19,4,4,348,9,1,10,10,18,2,8,1,18,1,8,20,10,39,18,2,4,370,18,3,8,10,10,5,4,4,19,6,4,171,18,2,8,13,18,2,8,14,10,7,8,3,10,10,8,2,14,9,15,1,8,1,18,1,15,1,14,1,3,4,18,1,4,7,18,1,3,6,18,4,4,4,19,7,4,320,19,8,4,100,},
{4,1160,10,1,8,1,18,1,8,1,10,8,8,4,10,6,8,3,10,27,8,2,10,6,8,15,10,6,8,6,10,4,8,25,7,3,14,5,15,2,8,3,18,1,15,2,14,4,15,3,8,6,15,4,14,5,15,1,8,3,15,1,14,2,16,3,17,1,14,2,15,1,8,4,15,1,14,4,17,3,16,5,3,1,14,6,15,1,8,4,14,1,3,2,14,1,15,1,8,3,15,1,8,12,10,5,8,4,18,2,8,3,10,3,8,2,10,22,8,42,10,1,8,5,18,1,8,1,10,2,4,4,19,3,4,348,10,7,8,3,18,4,8,24,10,37,18,1,4,369,18,6,8,8,10,1,18,1,4,7,19,6,4,149,19,7,4,8,19,3,4,5,18,8,8,5,18,3,8,5,18,3,8,6,10,20,8,1,15,1,14,9,15,1,18,3,14,1,3,2,18,2,4,8,18,1,3,5,18,3,4,5,19,7,4,321,19,8,4,100,},
{4,1160,10,1,8,3,10,9,8,2,10,6,8,5,10,33,8,2,18,4,8,10,10,6,8,6,10,4,8,25,7,3,14,5,7,2,8,4,15,1,7,2,14,2,15,2,8,11,15,1,14,5,15,1,8,1,9,1,8,2,14,2,17,1,16,2,17,1,14,2,15,1,8,4,15,1,14,2,17,1,16,9,3,2,14,6,15,1,8,3,14,4,8,15,10,7,8,3,18,1,8,4,10,3,8,3,10,6,8,2,10,13,8,50,10,4,4,353,10,7,8,33,10,27,8,3,10,6,4,370,18,9,8,3,10,3,4,3,19,9,4,147,19,11,4,8,19,5,4,3,18,5,14,4,18,1,14,3,18,2,8,5,18,1,14,3,18,1,8,3,10,19,8,3,15,1,14,7,3,1,14,2,18,5,3,1,18,2,4,4,19,4,4,2,3,4,18,2,4,4,19,10,4,321,19,6,4,102,},
{4,1160,10,21,8,5,10,15,8,2,10,16,8,2,18,1,15,1,14,3,18,1,8,2,10,1,8,3,10,1,8,1,10,6,8,36,7,4,14,3,7,2,8,4,7,3,14,2,15,1,8,4,15,3,8,6,14,2,16,2,14,1,15,1,8,3,15,1,14,3,16,2,17,1,14,3,15,5,14,2,16,11,14,4,3,2,14,2,15,1,8,2,15,1,14,2,15,1,8,14,10,7,8,7,10,3,8,6,10,5,8,2,10,13,8,49,10,5,4,352,10,6,8,35,10,27,8,3,10,6,4,370,18,2,8,1,18,9,4,1,10,2,4,2,19,8,4,149,19,11,4,8,19,6,4,3,18,3,3,4,14,4,18,1,8,8,18,3,8,3,10,17,8,3,15,1,14,12,18,7,4,5,19,6,4,1,18,1,3,2,18,1,4,4,19,9,4,326,19,1,4,1,19,1,4,103,},
{4,1157,18,2,10,21,8,7,10,3,8,4,10,7,8,1,10,4,8,1,10,11,8,3,18,1,15,1,14,4,8,2,10,5,8,4,10,2,8,37,7,3,18,1,7,1,14,3,7,1,8,4,7,2,14,3,15,1,8,3,15,2,14,1,15,2,8,5,14,1,16,3,14,2,15,1,8,2,15,1,14,3,17,2,3,1,14,10,16,4,17,4,16,2,3,1,14,4,3,1,16,1,3,1,14,2,15,9,8,11,10,4,8,8,10,5,8,7,10,4,8,4,10,11,8,49,10,6,4,312,19,4,4,35,10,5,8,37,10,25,8,4,10,6,4,371,10,4,18,3,4,9,19,6,4,160,19,2,4,8,19,7,4,4,18,3,3,1,14,4,18,1,8,9,10,13,8,6,10,2,8,4,14,2,17,2,3,1,14,7,18,4,4,10,19,6,4,9,19,5,4,436,},
{4,1156,18,3,10,21,8,6,10,3,8,6,10,6,8,1,10,3,8,4,10,9,8,3,18,2,14,4,8,2,10,6,8,3,10,4,8,7,18,1,8,27,7,3,8,2,7,4,8,4,7,2,14,3,15,1,8,4,15,4,8,4,15,1,14,1,3,1,16,2,14,2,15,2,14,17,16,4,17,2,14,2,17,2,16,1,3,1,14,4,3,3,14,2,15,2,8,2,15,3,14,1,15,1,8,8,15,1,8,2,10,3,8,8,10,6,8,8,10,3,8,2,10,12,8,49,10,8,4,310,19,6,4,32,18,1,10,5,8,27,10,2,8,10,10,21,8,3,10,1,8,3,10,3,8,1,18,3,4,380,19,1,4,5,19,6,4,151,19,1,4,18,19,9,4,4,18,8,8,7,10,5,8,1,10,5,8,4,15,4,8,6,15,1,14,1,17,1,16,2,17,1,14,1,7,1,14,4,18,2,10,1,4,12,19,6,4,9,19,4,4,437,},
{4,1156,18,2,10,26,8,1,10,5,8,6,10,9,8,4,10,8,8,2,18,1,8,3,18,1,14,2,18,1,8,2,10,6,8,2,10,6,8,40,7,3,8,4,7,6,8,11,15,2,14,10,3,1,14,12,16,4,17,1,14,5,17,2,16,1,3,1,14,10,15,2,8,1,15,1,14,4,8,8,15,2,8,8,10,9,8,10,10,16,8,50,10,8,4,309,19,6,4,26,10,6,8,1,10,1,8,29,10,4,8,10,10,21,8,3,10,7,8,1,18,4,4,372,19,9,4,5,19,3,4,153,18,8,4,14,19,9,4,2,10,1,8,1,18,3,14,8,8,2,10,4,8,3,15,3,18,3,15,2,14,8,7,1,14,3,17,2,14,1,7,1,8,1,7,1,14,3,18,2,10,1,4,3,19,5,4,5,19,4,4,9,19,5,4,437,},
{4,1155,18,1,10,35,8,10,10,3,8,6,10,6,8,2,18,3,8,3,18,2,8,2,10,15,8,47,7,6,15,1,8,9,15,6,14,19,16,5,14,6,17,3,3,2,14,10,15,2,14,5,8,8,15,2,18,1,8,5,10,10,8,10,10,17,8,50,10,8,18,1,4,308,19,6,4,23,18,3,8,21,10,2,8,14,10,3,8,12,10,20,8,2,10,7,8,2,18,4,4,368,19,13,4,166,18,4,4,1,18,4,4,11,19,6,4,3,10,2,18,1,14,3,3,4,17,1,14,1,15,1,8,1,10,3,8,1,15,1,14,24,7,1,8,3,7,1,14,1,3,1,18,2,10,1,4,2,19,6,4,19,19,1,4,440,},
{4,1155,10,38,8,8,10,2,8,8,10,4,8,3,18,2,15,1,18,2,8,4,10,15,8,5,10,3,8,41,7,6,8,9,15,3,8,3,14,8,15,2,8,1,15,1,14,2,3,2,14,3,16,4,17,4,14,6,3,4,14,15,8,8,15,2,18,1,8,2,10,1,8,1,10,11,8,2,10,2,8,6,10,18,8,50,10,7,18,1,4,308,19,6,4,7,10,4,4,3,18,1,10,4,18,8,8,21,10,1,8,14,10,3,8,13,10,28,8,2,18,3,4,368,19,14,4,186,19,7,4,3,10,1,8,1,15,1,14,1,3,6,14,1,15,1,8,1,10,3,8,1,14,4,3,1,14,13,17,2,14,4,7,1,8,3,7,2,14,1,3,2,18,1,10,1,4,2,19,6,4,374,19,5,4,81,},
{4,1154,10,3,8,2,10,36,8,6,10,1,8,10,10,2,8,4,18,2,15,2,18,1,8,3,10,7,8,1,10,8,8,5,10,4,8,42,7,4,8,15,14,7,15,1,8,4,14,2,3,1,16,1,14,4,17,5,16,3,17,1,14,6,3,1,16,1,3,1,14,14,8,7,15,3,18,1,8,1,10,9,8,7,10,3,8,5,10,19,8,19,10,1,8,30,10,3,8,2,10,2,4,308,19,6,4,6,10,4,18,5,8,1,10,4,8,7,10,6,8,14,10,2,8,14,10,2,8,14,10,23,8,4,10,1,8,2,18,3,4,368,19,13,4,165,19,3,4,20,19,6,4,3,10,1,18,1,14,1,3,7,14,2,15,1,8,3,15,1,14,18,17,1,16,1,17,1,14,2,7,7,14,1,3,2,18,1,10,1,4,2,19,6,4,374,19,6,4,80,},
{4,1154,10,42,8,5,10,1,8,17,18,2,15,1,18,1,8,3,10,16,8,5,10,4,8,43,7,3,8,4,7,1,14,2,15,1,8,6,15,1,14,5,15,2,8,1,10,3,8,1,14,2,16,2,14,7,17,1,16,5,14,7,3,1,16,1,3,1,14,4,15,1,14,7,15,1,8,5,15,5,8,2,10,8,8,8,10,3,8,5,10,20,8,18,10,2,8,30,10,2,8,2,10,2,4,308,19,4,4,4,18,12,8,2,10,4,8,7,10,8,8,12,10,3,8,29,10,22,8,6,10,1,8,2,10,2,4,368,19,8,4,170,19,11,4,12,19,7,4,2,18,1,3,5,14,11,8,5,15,1,14,3,17,3,14,3,7,1,14,2,17,4,14,2,7,3,14,1,7,2,14,1,3,2,18,1,10,1,4,2,19,6,4,374,19,6,4,80,},
{4,1154,10,5,8,5,10,23,8,2,10,8,8,3,10,2,8,22,10,3,8,3,10,11,8,7,10,2,8,44,7,3,8,3,14,2,17,1,14,2,15,1,8,4,15,2,14,3,15,3,8,1,10,4,8,1,14,3,3,1,14,8,16,4,17,1,14,9,3,1,14,3,15,3,14,6,15,1,8,5,15,5,18,1,8,3,18,1,8,1,10,4,8,4,10,2,8,2,10,3,8,6,10,19,8,17,10,3,8,30,10,2,8,2,10,2,18,1,4,314,18,1,3,2,18,5,8,2,18,2,8,4,10,2,8,8,10,8,8,13,10,2,8,28,10,23,8,4,10,6,4,370,19,1,4,176,19,12,4,12,19,6,4,2,18,1,3,4,14,9,16,1,17,1,14,1,7,2,8,4,15,1,14,6,7,5,14,11,7,1,18,4,4,3,19,5,4,375,19,6,4,80,},
{4,1154,10,3,8,3,18,1,8,3,10,15,8,3,10,3,8,2,18,2,8,2,10,12,8,8,10,16,8,4,10,4,8,17,10,5,8,8,18,2,8,12,7,2,8,13,7,4,8,1,7,1,14,1,17,1,16,2,14,1,15,1,8,4,14,2,15,5,8,2,10,3,8,1,15,1,14,12,17,4,14,14,15,3,14,6,15,1,8,5,18,1,15,4,14,1,18,6,8,1,10,3,8,1,10,4,8,3,10,1,8,4,18,1,8,2,10,20,8,16,10,5,8,28,10,6,18,1,4,311,18,8,8,1,10,3,8,16,10,7,8,1,10,1,8,19,10,1,8,13,10,6,8,4,10,22,8,5,10,6,4,3,19,3,4,541,19,12,4,12,19,4,4,3,18,1,3,5,14,1,15,2,14,6,17,2,14,4,7,1,8,3,15,1,14,2,7,2,8,3,7,2,8,3,7,4,14,1,17,3,14,1,7,1,18,3,4,3,19,5,4,371,18,1,4,7,19,3,4,80,},
{4,1154,10,2,18,6,8,3,10,14,8,1,10,5,8,2,18,3,8,1,10,11,8,9,10,2,8,4,10,9,8,2,18,3,8,1,10,3,8,16,10,6,8,8,18,1,8,13,7,3,8,12,7,3,8,2,7,1,14,2,16,2,14,2,8,3,15,1,14,2,15,1,8,6,10,3,8,2,15,1,14,29,15,3,14,5,15,2,8,6,15,2,14,6,3,2,18,1,8,1,10,8,8,1,18,1,8,5,18,2,8,3,10,18,8,4,10,2,8,14,10,1,8,30,10,1,18,1,4,2,18,1,4,306,18,1,3,2,18,8,8,2,10,6,8,20,10,4,8,13,10,11,8,7,10,8,8,4,10,21,8,5,10,7,4,3,19,5,4,540,19,10,4,18,18,2,3,4,14,2,15,1,8,2,14,13,15,2,8,6,10,2,8,2,18,1,8,1,10,1,8,2,15,1,14,6,7,2,18,2,4,3,19,6,4,371,18,4,4,5,19,2,4,80,},
{4,1154,9,1,10,1,18,7,8,2,10,21,8,1,18,3,8,2,10,4,8,12,10,2,8,9,10,6,8,3,18,1,15,1,14,1,8,1,10,3,8,15,10,6,8,38,7,2,8,4,7,1,14,6,15,7,8,5,10,3,8,2,15,1,14,9,17,3,14,9,15,3,14,8,3,2,14,2,15,5,8,4,15,2,14,2,15,2,14,5,8,1,10,4,8,2,10,2,8,7,18,1,8,3,10,19,8,4,10,2,8,19,10,4,8,6,10,4,8,13,4,307,18,2,3,4,18,3,8,3,10,9,8,6,10,2,8,14,10,5,8,10,10,26,8,4,10,21,8,2,10,12,4,1,19,7,4,555,19,5,4,3,18,5,14,4,7,3,8,2,7,1,14,5,3,2,14,2,18,3,15,1,14,1,7,3,8,2,10,4,8,1,18,2,10,3,18,2,3,3,14,1,7,1,8,4,4,3,19,7,4,366,19,4,4,3,18,2,8,1,18,2,4,3,19,4,4,77,},
{4,1154,18,1,10,1,18,5,8,1,10,24,8,6,10,4,8,18,18,2,8,3,10,5,8,5,15,1,14,1,15,1,8,1,10,4,8,12,10,6,8,39,7,2,8,6,7,2,14,5,15,1,8,2,7,1,8,7,10,2,8,3,7,3,14,7,17,2,14,9,15,3,14,7,3,3,14,2,15,2,14,3,15,2,8,2,15,2,14,2,15,3,14,4,8,1,10,4,8,2,10,2,8,11,10,19,8,4,10,3,8,17,10,5,8,6,10,4,8,13,4,305,18,3,3,3,14,2,18,1,8,3,10,10,8,7,10,3,8,5,10,2,8,6,10,6,8,7,10,28,8,3,10,21,8,3,10,6,8,3,10,2,4,2,19,7,4,554,19,6,4,2,18,2,14,2,18,1,7,6,8,4,7,2,14,6,18,2,9,2,18,2,15,1,7,1,8,4,10,4,8,2,9,1,10,3,18,2,3,2,14,1,15,1,8,5,4,3,19,7,4,366,19,4,4,4,18,1,8,3,18,2,4,1,19,5,4,76,},
{4,1154,18,1,10,2,18,4,10,26,8,5,10,4,8,25,10,3,8,6,7,2,8,2,10,5,8,8,10,6,8,41,7,2,8,8,15,2,14,1,15,5,7,1,8,4,7,2,8,8,7,1,14,8,17,4,14,16,3,2,14,5,15,2,14,1,15,6,14,2,15,2,14,5,8,1,10,4,8,5,18,2,8,8,10,9,8,1,10,9,8,2,10,5,8,18,10,4,8,6,10,4,8,13,4,3,19,4,4,296,18,9,8,7,10,2,8,14,10,2,8,5,10,2,8,5,10,8,8,5,10,30,8,2,10,22,8,1,10,8,8,2,10,2,4,2,19,7,4,554,19,5,4,2,18,4,8,13,7,2,15,2,8,3,9,1,10,3,8,5,10,8,8,1,9,1,10,5,18,3,8,2,10,2,8,1,10,1,4,2,19,8,4,366,19,5,4,3,18,1,8,1,7,1,8,1,18,2,4,2,19,4,4,76,},
{4,1154,18,1,9,1,10,1,18,4,10,28,8,2,10,6,8,18,10,1,8,14,15,2,8,3,10,4,8,8,10,5,8,43,7,1,8,10,15,6,7,1,8,4,7,3,15,1,8,6,7,1,14,9,16,4,14,15,3,2,14,5,15,2,14,6,15,1,14,4,15,1,14,4,8,1,10,4,8,14,10,9,8,2,10,17,8,17,10,3,8,7,10,3,8,14,4,3,19,4,4,295,18,5,8,2,10,7,8,2,10,2,8,16,10,2,8,4,10,2,8,5,10,8,8,4,10,65,18,1,4,5,19,5,4,555,19,4,4,3,18,3,8,1,10,3,8,15,10,5,18,3,8,1,10,19,8,3,10,4,4,2,19,8,4,366,19,5,4,3,18,1,8,2,7,1,14,1,18,1,4,2,19,4,4,76,},
{4,1154,18,2,8,1,10,1,18,3,10,38,8,13,10,6,8,17,10,3,8,10,10,4,8,55,7,1,15,4,7,2,8,3,7,2,14,2,15,1,8,5,15,1,14,9,17,1,16,3,14,2,15,1,14,4,3,1,14,6,3,3,14,5,15,1,14,6,15,3,14,3,15,1,14,4,15,1,10,4,8,2,10,3,8,3,10,2,8,5,10,7,8,2,10,20,8,15,10,2,8,8,10,2,8,7,10,2,8,6,18,1,4,2,19,5,4,294,18,4,8,1,10,9,8,2,10,3,8,15,10,3,8,3,10,4,8,3,10,9,8,1,10,67,4,6,19,3,4,557,19,3,4,4,18,2,8,1,10,6,8,8,9,5,18,9,8,1,10,7,8,2,10,10,8,3,10,3,4,2,19,6,4,368,19,7,4,2,8,2,18,4,4,1,19,4,4,76,},
{4,1154,18,2,9,1,10,1,18,2,8,1,10,2,8,2,10,34,8,12,10,8,8,15,10,3,8,6,10,2,8,3,10,4,8,3,10,1,8,41,7,1,8,8,7,2,15,2,8,1,15,1,14,2,15,1,8,3,7,1,14,3,8,4,15,1,14,11,16,2,17,1,14,1,15,1,8,1,15,1,14,3,3,1,14,5,3,4,14,1,15,1,14,8,15,4,14,4,15,1,14,2,3,2,14,1,8,1,10,13,8,6,10,23,8,2,10,4,8,23,10,2,8,8,10,2,8,6,18,1,4,2,19,5,4,293,18,2,8,4,10,2,8,1,10,6,8,2,10,3,8,9,10,1,8,5,10,3,8,4,10,83,4,567,19,1,4,3,18,4,8,1,10,9,8,3,10,5,18,12,8,3,10,3,8,3,10,9,8,4,10,3,4,2,19,6,4,369,19,7,4,1,10,1,8,1,18,4,4,3,19,1,4,77,},
{4,1141,19,6,4,7,18,2,9,1,10,2,18,1,10,3,8,1,10,28,8,2,10,5,8,5,10,2,8,5,10,10,8,12,10,4,8,5,10,3,8,3,10,8,8,36,10,1,8,4,7,1,8,7,7,3,15,2,8,1,15,1,14,2,7,1,8,3,15,1,14,3,15,1,8,3,14,16,15,1,8,1,15,1,14,9,3,3,14,2,15,4,14,5,15,1,8,2,15,1,14,7,3,2,14,1,15,1,8,4,10,10,8,6,10,21,8,4,10,3,8,23,10,1,8,17,18,1,4,2,19,5,4,293,10,1,8,2,10,12,8,2,10,4,8,13,10,4,8,6,10,11,8,3,10,66,4,571,18,4,8,8,10,4,18,2,4,12,18,2,4,2,18,3,8,1,10,4,8,2,10,7,8,6,10,3,4,2,19,6,4,372,19,4,4,1,10,1,8,2,18,3,4,81,},
{4,1140,19,8,4,6,18,2,9,1,10,34,8,4,10,4,8,3,10,6,8,3,10,11,8,13,10,4,8,4,10,3,8,2,10,2,8,2,10,4,8,36,10,1,8,3,18,1,8,8,7,3,15,1,8,3,14,3,15,1,8,2,15,1,14,4,15,1,8,1,15,1,14,5,17,2,14,9,15,3,14,10,3,1,14,2,15,1,8,3,15,1,14,4,15,1,8,3,15,1,14,7,3,3,14,1,15,1,8,3,10,4,8,2,10,4,8,7,10,19,8,5,10,4,8,9,10,1,8,12,10,1,8,18,18,1,4,1,19,5,4,292,10,11,8,2,10,2,8,1,7,1,14,1,7,1,8,2,10,1,8,12,10,3,8,9,10,4,8,1,10,5,8,3,10,65,4,511,19,7,4,51,18,6,8,5,18,1,8,3,4,23,18,1,3,1,18,1,8,1,10,11,8,1,18,3,8,2,10,3,4,3,19,6,4,372,19,4,4,1,10,2,8,1,18,3,4,81,},
{4,1140,19,8,4,6,18,1,9,1,8,1,10,34,8,5,10,2,8,2,10,9,8,4,10,9,8,9,14,2,18,1,8,1,10,6,8,3,10,5,8,5,10,1,8,7,10,1,8,33,18,2,8,6,18,1,7,1,14,1,7,2,8,3,15,1,14,3,15,3,14,5,15,1,14,6,17,1,14,10,15,2,14,6,15,1,14,6,15,1,8,4,15,1,14,3,15,1,8,2,9,1,8,1,15,1,14,7,3,3,14,1,15,2,8,5,18,1,15,1,8,4,10,1,8,7,10,18,8,5,10,6,8,5,10,5,8,31,4,2,19,5,4,289,10,8,8,2,10,2,8,3,10,2,8,1,14,1,16,2,14,1,8,1,10,1,8,29,10,4,8,4,10,26,8,1,10,38,4,510,19,8,4,49,18,7,8,3,18,7,4,8,19,1,4,8,19,5,4,1,18,2,3,1,18,1,9,1,10,10,8,6,10,3,4,381,19,4,4,2,10,1,18,1,4,84,},
{4,1140,19,8,4,5,10,1,8,2,10,15,8,5,10,8,8,2,10,5,8,5,10,13,8,21,14,2,3,1,14,2,8,2,10,5,8,2,10,5,8,46,18,3,8,7,7,3,18,1,8,4,15,2,14,1,15,3,14,23,15,2,14,3,15,4,14,5,15,1,8,6,15,4,8,2,9,1,8,1,15,2,14,7,3,2,14,2,15,1,18,1,8,3,18,1,14,2,18,1,8,3,10,1,8,7,10,9,8,3,10,6,8,2,10,20,8,30,18,1,4,2,19,5,4,287,10,8,8,3,10,2,8,2,10,3,8,1,17,1,16,3,14,1,8,4,10,3,8,24,10,4,8,1,10,28,8,1,10,37,18,1,4,510,19,8,4,34,18,2,4,5,18,24,4,2,19,9,4,6,19,6,4,2,18,5,10,9,8,7,10,1,4,383,19,3,4,88,},
{4,1140,19,8,4,3,10,2,9,1,8,1,10,16,8,6,10,7,8,2,10,6,8,3,10,15,8,15,10,3,8,1,15,1,14,1,3,1,16,2,3,1,14,1,8,2,10,11,8,46,18,1,7,1,18,1,8,8,18,2,8,7,15,2,14,25,15,1,14,4,15,1,8,2,15,2,14,3,15,2,8,15,15,1,14,7,3,2,14,3,15,1,18,1,8,2,15,1,14,2,18,1,8,3,10,2,8,6,10,8,8,3,10,29,8,30,10,1,4,2,19,5,4,280,10,3,18,1,10,11,8,4,10,6,8,1,17,1,16,3,14,1,8,3,10,6,8,18,10,1,8,3,10,64,8,1,10,6,18,1,4,510,19,8,4,5,10,11,4,14,18,20,8,1,18,11,4,4,19,10,4,6,19,7,4,3,18,5,8,1,10,9,8,2,18,3,4,384,19,2,4,88,},
{4,1150,10,2,8,1,10,18,8,7,10,34,8,12,10,4,8,1,15,1,14,1,16,4,3,1,14,1,18,1,8,2,10,4,8,4,10,2,8,7,10,3,8,34,18,4,8,17,15,2,14,8,15,3,14,4,15,1,14,9,15,2,14,2,15,1,18,1,8,3,15,1,14,3,15,1,8,3,15,3,8,1,10,2,8,6,15,2,14,4,15,1,14,2,3,3,14,2,15,1,18,1,8,3,15,2,8,4,10,2,8,7,10,7,8,2,10,30,8,31,10,1,4,1,19,5,4,280,10,15,8,3,10,7,8,1,17,1,16,3,14,1,8,3,10,9,8,15,10,2,8,1,10,73,4,522,10,12,4,9,18,13,8,1,18,9,8,3,10,1,18,6,4,5,19,13,4,6,19,8,4,5,18,3,8,1,10,1,8,5,10,3,8,1,18,2,4,386,19,1,4,88,},
{4,1150,10,22,8,8,10,2,8,1,10,18,8,5,10,7,8,11,10,4,8,1,7,1,14,1,16,5,3,1,14,1,7,1,8,1,10,4,8,4,10,3,8,5,10,5,8,34,18,2,8,16,10,1,8,2,18,1,15,1,14,6,15,2,8,1,15,1,14,3,15,3,14,6,15,7,18,1,8,3,15,1,14,3,18,1,8,2,15,2,14,1,15,1,8,1,10,2,8,2,15,6,14,3,15,2,14,2,3,3,14,1,15,1,8,12,10,1,8,8,10,39,8,30,10,1,4,2,19,5,4,279,10,25,8,1,14,1,17,1,16,1,3,1,14,1,8,3,10,10,8,5,10,3,8,6,10,76,4,522,10,3,8,6,10,4,4,1,18,2,10,1,18,9,8,19,10,3,8,1,18,4,4,4,19,14,4,7,19,6,4,8,18,2,8,7,10,2,8,1,18,1,3,1,18,1,4,386,19,5,4,84,},
{4,1148,10,24,8,7,10,14,8,4,10,3,8,8,10,5,8,12,10,3,8,1,7,1,14,1,17,2,16,4,14,2,8,1,10,3,8,6,10,5,8,2,10,6,8,55,15,1,14,2,15,4,14,1,15,10,14,2,15,2,18,1,8,5,15,3,8,4,15,3,8,3,15,2,14,1,15,1,8,4,15,3,14,8,15,1,14,2,16,2,14,2,8,4,10,4,8,1,18,3,8,1,10,1,8,4,10,1,8,4,10,38,8,5,10,2,8,25,4,2,19,4,4,278,18,1,10,12,8,3,10,9,8,4,18,1,8,4,10,12,8,3,10,5,8,4,10,72,18,3,10,1,4,514,18,8,10,1,8,12,10,2,8,33,18,4,4,4,19,9,4,15,19,3,4,10,18,3,8,4,7,1,8,4,18,3,4,2,19,2,4,382,19,5,4,84,},
{4,1145,10,43,8,21,10,3,8,14,10,1,8,2,7,1,14,1,17,1,14,2,3,1,17,1,3,1,14,1,7,1,8,1,10,2,8,8,10,5,8,4,10,3,8,55,15,1,14,2,15,4,14,4,15,4,14,3,15,2,8,8,18,1,15,2,18,1,8,4,18,1,8,5,15,7,14,6,3,3,14,4,3,1,16,1,3,1,14,1,15,1,8,1,10,1,8,3,10,3,8,1,14,2,15,1,8,6,10,1,8,5,10,6,8,1,10,4,8,1,10,25,8,5,10,2,8,21,7,1,18,4,4,1,19,4,4,278,18,1,10,6,8,2,10,4,8,4,10,7,8,4,10,4,8,1,10,5,8,2,10,7,8,2,10,5,8,4,10,71,18,4,4,509,18,12,8,49,18,2,4,5,19,9,4,27,19,2,4,1,18,1,3,1,18,2,8,2,7,4,8,2,18,3,4,1,19,3,4,382,19,5,4,84,},
{4,1145,10,28,8,3,10,4,8,1,10,6,8,17,18,3,8,3,10,2,8,3,18,1,8,4,10,1,8,9,14,8,8,13,10,4,8,5,10,1,8,47,10,3,8,2,18,1,8,3,18,2,8,4,15,1,14,3,15,4,14,4,15,1,18,1,8,9,15,1,18,1,8,11,15,2,14,11,3,2,14,5,3,1,16,1,3,1,14,1,15,1,10,8,8,1,15,1,18,2,8,5,10,3,8,4,10,11,8,3,10,24,8,4,10,1,8,21,7,3,8,1,18,2,4,2,19,4,4,276,18,2,10,6,8,2,10,5,8,3,10,8,8,1,10,11,8,3,10,8,8,1,10,5,8,3,10,71,4,513,10,1,8,1,18,3,8,1,18,7,8,48,18,2,4,4,19,11,4,27,19,3,4,1,18,3,8,2,7,4,14,1,18,2,4,3,19,3,4,382,19,5,4,84,},
{4,1139,19,2,4,5,10,26,8,5,10,1,8,4,10,5,8,6,10,10,8,2,18,2,8,2,10,5,8,4,10,3,8,12,15,1,8,20,10,6,8,46,10,6,8,1,18,4,8,11,15,2,14,5,15,1,18,1,8,6,18,2,8,8,15,2,18,3,15,2,14,16,15,1,14,2,3,1,16,1,3,1,14,1,15,1,8,1,10,4,8,5,10,2,8,1,18,2,8,1,10,5,8,3,10,12,8,2,10,28,8,22,7,2,8,4,4,2,19,4,4,275,18,1,8,1,10,14,8,3,10,67,8,4,10,37,4,515,10,3,8,6,18,2,8,12,10,4,8,9,10,4,8,2,18,4,8,3,18,13,4,4,19,12,4,29,19,3,4,2,18,2,8,1,7,2,8,1,14,2,3,2,18,1,4,1,19,4,4,383,19,3,4,85,},
{4,1138,19,4,4,4,10,26,8,2,18,1,8,8,10,4,8,5,10,12,8,5,10,5,8,3,10,4,8,33,10,7,8,42,18,2,8,1,10,6,8,1,18,4,8,3,10,1,8,8,15,1,14,5,15,1,18,6,8,1,18,3,8,6,18,1,15,6,14,16,15,2,14,3,3,2,14,2,8,1,10,3,8,2,15,2,8,2,10,2,8,1,15,2,18,1,10,5,8,3,10,12,8,3,10,26,8,23,7,1,8,5,18,1,4,2,19,3,4,274,18,2,10,4,8,2,10,79,8,5,10,36,4,515,10,5,8,16,10,5,8,9,10,6,8,1,18,6,10,1,18,12,4,3,19,10,4,34,19,2,4,2,18,2,8,1,7,1,8,3,18,1,3,2,18,1,19,4,4,472,},
{4,1138,19,5,4,3,10,26,8,10,10,5,8,5,10,6,8,3,10,3,8,2,10,3,8,3,10,2,8,3,10,4,8,27,10,3,8,2,10,8,8,45,10,5,8,2,18,2,8,5,10,1,8,9,15,1,14,4,15,1,18,4,8,4,18,2,8,4,18,2,15,2,18,2,15,1,14,13,15,2,14,11,15,1,8,2,10,1,8,2,15,1,14,3,18,1,8,3,15,2,8,1,10,4,8,2,10,2,8,1,10,11,8,3,10,26,8,29,18,1,4,279,18,2,10,126,4,12,10,3,18,1,4,4,19,3,4,492,10,6,8,14,10,4,8,11,10,7,18,3,4,18,19,10,4,38,18,3,8,3,10,2,18,3,4,1,19,4,4,472,},
{4,1138,19,6,4,2,10,27,8,9,10,4,8,6,10,5,8,5,10,2,8,1,10,4,8,4,10,8,8,3,10,1,8,19,10,2,8,1,10,15,8,19,10,1,8,25,10,3,8,20,15,1,14,3,15,1,18,1,8,13,18,2,15,2,18,1,8,3,15,1,14,11,15,3,14,12,15,1,8,3,15,1,14,2,3,1,14,5,15,2,8,2,10,1,8,4,10,2,8,2,10,8,8,4,10,26,8,30,18,2,4,277,18,3,10,126,4,12,10,2,18,2,4,3,19,5,4,491,10,6,8,8,10,8,8,3,18,6,8,3,10,3,4,26,19,10,4,39,18,2,10,1,8,2,10,2,4,4,19,3,4,473,},
{4,1139,19,5,4,2,10,13,8,1,10,17,8,5,10,3,8,7,10,4,8,11,10,2,8,4,10,7,8,3,10,3,8,15,10,22,8,17,10,2,8,9,10,2,8,4,10,2,8,32,15,2,18,1,8,8,10,2,8,6,18,2,15,1,8,5,15,1,14,10,15,3,14,7,15,2,14,4,15,1,8,1,15,2,14,2,3,4,14,3,15,1,8,7,10,2,8,3,10,3,8,5,10,29,8,31,18,1,4,3,19,4,4,270,18,3,10,23,8,2,10,101,4,7,19,4,4,2,10,1,18,2,4,3,19,5,4,491,10,6,8,6,10,9,8,2,18,10,10,2,4,6,19,1,4,21,19,6,4,47,18,1,10,2,4,3,19,4,4,473,},
{4,1140,19,4,4,2,18,1,10,31,8,3,10,3,8,8,10,3,8,18,10,4,8,7,10,2,8,5,10,1,8,9,10,23,8,17,10,1,8,8,10,3,8,3,10,3,8,32,18,1,8,11,10,1,8,2,10,1,8,3,15,1,14,3,18,1,8,3,15,2,14,10,15,2,14,4,3,1,14,2,15,2,14,5,15,2,14,3,3,6,14,1,15,1,8,6,10,4,8,10,10,8,8,2,10,5,8,3,10,12,8,30,18,1,4,2,19,6,4,268,18,3,8,1,10,7,8,5,10,113,4,7,19,5,4,2,18,3,4,2,19,6,4,491,8,12,10,8,8,2,18,10,4,6,19,5,4,74,18,2,4,3,19,3,4,474,},
{4,1140,19,5,4,2,10,32,8,1,10,4,8,8,10,3,8,13,10,1,8,4,10,3,8,13,10,3,8,10,10,22,8,26,10,3,8,3,10,3,8,15,10,3,8,12,15,1,18,1,8,18,18,1,14,5,15,2,8,1,18,1,15,1,14,10,15,2,14,4,3,1,14,2,15,3,14,11,3,4,14,1,15,1,8,6,10,6,8,4,18,3,8,1,10,6,8,2,10,7,8,3,10,13,8,29,18,1,4,3,19,5,4,268,18,3,10,8,8,5,10,98,8,1,10,13,4,8,19,4,4,3,18,1,4,4,19,6,4,491,8,1,18,1,8,10,10,8,8,2,18,8,4,7,19,6,4,74,18,2,4,480,},
{4,1141,19,4,4,2,10,37,8,18,10,7,8,18,10,5,8,12,10,5,8,1,10,15,8,24,10,3,8,4,10,2,8,4,10,1,8,9,10,5,8,11,18,1,15,1,18,1,8,3,18,5,8,10,15,1,14,1,3,3,14,2,15,2,18,1,15,2,14,2,15,3,14,12,15,4,14,12,3,2,14,1,15,1,8,10,10,2,8,5,18,1,14,1,18,1,8,1,10,5,8,3,10,7,8,2,10,14,8,29,18,2,4,2,19,6,4,266,18,4,10,7,8,7,10,97,8,1,10,13,4,8,19,4,4,7,19,7,4,493,18,5,8,7,10,6,8,2,18,2,3,1,18,3,10,1,4,8,19,6,4,556,},
{4,1142,19,3,4,3,10,35,8,19,10,8,8,12,18,1,7,1,18,1,8,2,10,5,8,11,10,6,8,1,10,23,8,27,10,3,8,8,10,6,8,12,15,1,8,3,14,6,18,1,8,4,18,2,8,3,15,1,14,1,3,3,14,2,15,1,18,7,8,1,15,1,14,11,15,2,8,1,15,2,14,9,15,3,14,3,15,1,8,8,18,1,8,7,18,1,15,1,14,2,18,1,8,1,10,4,8,2,10,23,8,31,18,1,4,3,19,6,4,264,10,1,18,4,10,7,8,7,10,3,8,3,10,91,8,1,10,13,4,8,19,4,4,5,19,5,4,504,18,8,8,1,10,2,8,1,18,6,10,2,18,1,4,8,19,2,4,559,},
{4,1142,19,3,4,3,10,6,8,3,10,26,8,19,10,7,8,13,14,4,8,2,10,3,8,5,10,3,8,6,10,29,8,4,10,1,8,19,10,5,8,7,10,2,8,2,10,3,8,12,15,1,8,3,14,2,3,3,14,1,18,1,8,4,18,2,8,3,15,1,14,5,18,2,8,3,18,3,8,3,15,1,14,9,15,7,14,8,15,3,14,1,15,2,8,3,15,6,14,2,15,3,8,4,15,1,14,2,15,1,8,2,10,3,8,2,10,23,8,31,18,1,4,3,19,6,4,263,10,4,18,1,10,7,8,8,10,3,8,3,10,103,4,11,19,2,4,6,19,5,4,494,19,4,4,8,18,16,10,1,8,1,18,1,4,569,},
{4,1142,19,4,4,2,10,3,8,6,10,26,8,19,10,7,8,3,10,2,8,8,14,4,8,2,10,2,8,5,10,4,8,6,10,11,8,4,10,14,8,3,10,3,8,13,10,3,8,3,10,4,8,3,18,1,8,3,10,2,8,3,10,3,8,10,15,1,7,1,8,3,14,2,3,2,14,2,18,1,8,2,18,2,8,5,18,1,14,3,18,1,8,6,18,3,8,4,15,2,14,1,15,1,14,5,15,5,14,6,3,2,14,7,15,1,8,2,15,1,14,11,18,1,8,3,18,1,14,3,18,1,8,1,10,27,8,25,10,1,8,6,18,2,4,2,19,6,4,263,8,1,10,11,8,8,10,3,8,3,10,101,4,20,19,6,4,494,19,6,4,15,18,6,10,2,8,1,18,1,4,485,19,2,4,82,},
{4,1142,19,4,4,2,8,9,10,26,8,1,10,2,8,15,10,3,8,7,10,4,8,3,10,1,8,4,14,3,8,23,10,1,8,10,10,13,8,4,10,3,8,14,10,1,8,4,10,4,8,7,10,2,8,17,18,1,8,4,15,1,14,4,18,5,8,4,18,4,8,9,18,2,8,5,15,3,14,5,15,2,14,9,3,3,14,6,15,3,14,2,3,3,14,2,3,4,14,1,15,1,8,4,15,1,14,3,18,1,8,2,10,16,8,1,10,8,8,31,18,3,4,2,19,7,4,261,8,3,10,10,8,8,10,4,8,1,10,44,8,1,10,57,4,20,19,6,4,494,19,6,4,8,19,2,4,5,18,5,10,4,4,484,19,5,4,81,},
{4,1143,19,3,4,2,18,1,8,8,10,30,8,14,10,2,8,2,18,3,8,3,10,4,8,8,7,3,8,2,10,1,8,10,7,8,8,12,10,6,8,4,10,3,8,5,10,4,8,18,10,3,8,9,10,1,8,14,10,1,8,10,18,2,8,2,18,3,8,3,18,5,8,10,15,1,8,5,15,2,14,6,15,2,14,9,3,3,14,2,3,2,14,7,3,4,14,2,3,3,14,1,15,1,8,4,15,1,14,3,15,1,8,2,10,1,8,4,10,21,8,31,18,2,4,3,19,6,4,260,10,1,8,3,10,10,8,8,10,49,8,1,10,47,8,1,10,9,4,523,19,2,4,9,19,5,4,3,18,5,10,3,4,483,19,6,4,81,},
{4,1143,19,3,4,2,18,2,8,7,10,11,8,2,10,17,8,13,10,2,8,2,18,1,14,1,18,1,8,4,10,4,8,5,10,2,8,6,10,1,8,3,7,7,14,9,7,1,8,9,10,5,8,7,10,1,8,3,18,2,8,2,10,5,8,28,10,3,8,11,10,3,8,5,10,2,8,5,18,3,8,4,18,5,8,10,15,2,8,4,15,2,14,6,15,1,14,3,3,3,14,5,3,2,14,3,3,1,14,7,3,3,14,4,3,2,14,1,15,1,8,5,15,1,14,2,15,1,8,8,10,21,8,4,10,1,8,26,18,2,4,3,19,5,4,260,8,4,10,10,8,7,10,50,8,1,10,47,8,1,10,8,4,535,19,6,4,3,18,5,4,484,19,7,4,81,},
{4,1143,19,3,4,2,18,2,8,7,10,11,8,2,10,1,8,2,10,15,8,20,10,2,8,2,10,2,8,6,10,4,8,2,10,4,8,2,7,5,14,14,7,2,8,4,10,4,8,12,18,4,8,1,10,5,8,12,18,2,8,14,10,4,8,10,10,3,8,5,10,4,8,2,18,3,8,10,18,1,15,1,14,2,15,1,18,1,8,4,18,1,15,1,18,2,8,1,18,1,15,3,14,4,15,3,14,2,3,1,16,1,3,1,14,25,3,1,14,2,15,2,8,1,18,1,15,1,8,1,15,2,14,2,15,1,8,2,18,3,8,2,10,22,8,1,10,4,8,16,18,2,8,7,18,3,4,2,19,5,4,260,8,4,10,2,8,1,10,7,8,6,10,51,8,2,10,54,4,536,19,6,4,3,18,4,4,485,19,7,4,6,19,2,4,73,},
{4,1143,19,4,4,2,18,4,8,4,10,14,8,2,10,15,8,18,10,4,8,11,10,4,8,3,10,2,8,7,7,1,14,14,7,1,8,3,10,5,8,12,18,4,8,2,10,5,8,6,10,2,8,3,18,1,8,10,10,4,8,1,10,4,8,10,10,6,8,1,10,5,8,14,18,1,14,5,18,1,8,5,15,5,14,7,15,3,14,2,3,3,14,30,15,2,8,3,15,2,14,1,15,1,8,2,14,2,18,2,8,1,10,26,8,17,14,2,8,8,18,3,4,2,19,5,4,259,8,4,10,2,8,1,10,7,8,6,10,51,8,1,10,55,4,536,19,6,4,4,18,2,4,486,19,7,4,5,19,4,4,72,},
{4,1144,19,4,4,2,18,3,8,3,10,3,8,6,10,5,8,2,10,17,8,17,10,4,8,4,10,3,8,2,18,1,8,1,10,4,8,1,14,2,8,1,10,1,8,2,10,3,8,4,14,14,8,3,10,8,8,15,10,7,8,3,10,4,8,6,10,3,8,4,10,4,8,2,10,3,8,4,10,19,8,4,10,2,8,5,18,2,14,5,15,1,18,1,15,1,8,5,15,2,14,10,15,3,14,2,3,4,14,7,15,2,14,11,15,1,8,2,15,1,14,4,15,1,8,2,10,1,8,2,15,1,14,2,18,2,14,3,18,1,8,1,10,4,8,1,10,18,8,20,14,1,18,1,8,10,18,1,4,4,19,6,4,256,8,5,10,1,8,1,10,7,8,6,10,107,4,2,19,3,4,1029,19,7,4,5,19,4,4,36,19,4,4,1,19,3,4,4,19,3,4,21,},
{4,1144,19,5,4,2,18,2,8,3,10,3,8,6,10,3,8,3,10,19,8,15,10,4,8,5,10,3,8,1,18,2,8,1,10,3,8,1,14,1,3,2,7,1,8,2,10,7,8,7,18,2,14,5,7,1,8,3,10,8,8,9,10,5,8,2,10,6,8,4,10,4,8,4,10,5,8,3,10,3,8,4,10,1,8,1,10,22,8,2,10,5,8,5,18,1,14,6,15,2,14,1,15,1,8,4,15,1,14,11,15,3,14,3,3,4,14,2,15,3,8,2,15,1,14,12,8,2,15,1,14,4,15,1,8,1,10,2,8,2,15,3,18,2,14,4,18,1,8,5,10,18,8,20,18,2,8,10,10,2,18,1,4,3,19,6,4,255,8,5,10,1,8,2,10,6,8,1,10,4,8,2,10,20,8,5,10,42,8,2,10,37,4,1,19,4,4,1030,19,4,4,7,19,4,4,36,19,8,4,2,19,6,4,20,},
{4,1144,19,5,4,2,18,2,8,3,10,3,8,4,10,1,8,1,10,4,8,2,10,20,8,13,10,4,8,6,10,2,8,2,18,1,8,1,10,4,8,1,14,1,16,2,14,1,8,2,10,8,8,10,7,3,8,4,10,4,8,7,10,4,8,1,10,7,8,1,10,5,8,12,10,6,8,12,10,10,8,3,10,4,8,18,18,2,14,7,15,1,8,4,15,2,14,16,3,4,14,2,15,1,8,4,15,1,14,18,15,1,8,2,10,1,8,2,15,2,18,1,8,3,18,1,14,1,3,2,14,2,18,1,8,2,10,23,8,2,10,3,8,24,10,1,8,1,18,1,4,2,19,7,4,254,8,5,10,1,8,2,10,6,8,8,10,20,8,2,10,45,8,1,10,5,8,3,10,29,4,1,19,4,4,1041,19,4,4,36,19,7,4,3,19,6,4,20,},
{4,1144,19,6,4,2,18,1,8,2,10,3,8,5,10,6,8,4,10,16,8,14,10,4,8,7,10,1,8,2,18,1,8,1,10,5,18,1,3,1,16,1,3,1,14,1,8,2,10,16,8,9,10,2,8,9,10,13,8,17,10,6,8,12,10,9,8,4,10,3,8,21,18,3,15,3,14,1,18,1,8,4,15,1,14,9,15,2,14,8,3,1,14,2,15,2,8,4,15,1,14,5,15,1,14,8,3,2,14,2,15,1,8,5,15,2,8,4,18,1,14,2,3,2,14,1,18,1,8,1,10,6,8,2,10,21,8,26,18,2,4,2,19,6,4,249,19,1,4,4,8,5,10,1,8,2,10,6,8,10,10,65,8,1,10,5,8,3,10,29,4,1,19,5,4,1040,19,4,4,36,19,7,4,4,19,5,4,20,},
{4,1144,19,7,4,2,8,3,10,2,8,5,10,6,8,1,10,17,8,7,18,4,8,5,10,4,8,6,10,2,8,4,10,5,18,1,14,3,7,1,8,2,10,1,8,6,10,10,8,8,10,1,8,10,10,14,8,33,10,9,8,6,10,1,8,33,15,1,14,4,15,8,14,3,15,2,14,6,15,1,8,2,10,1,8,1,18,1,14,5,15,4,14,6,3,3,14,2,15,1,8,5,18,1,8,5,18,1,14,4,18,1,8,1,10,6,8,2,10,21,8,26,18,2,4,3,19,6,4,248,19,2,4,4,8,4,10,1,8,2,10,6,8,1,10,3,8,6,10,72,8,1,10,30,4,1,19,5,4,1033,19,1,4,5,19,5,4,36,19,7,4,7,19,2,4,20,},
{4,1145,19,7,4,1,18,1,8,5,18,1,8,3,10,11,8,9,10,4,8,6,18,6,8,3,10,5,8,3,10,6,8,2,10,5,8,1,15,1,14,1,15,1,8,12,10,18,8,10,10,15,8,5,10,3,8,13,10,2,8,4,10,3,8,2,10,5,8,43,15,1,14,5,15,4,14,1,15,14,8,5,14,4,15,7,14,6,3,4,14,1,15,1,8,4,15,1,18,3,8,3,15,1,14,3,18,1,8,2,10,5,8,1,10,18,8,1,10,2,8,27,18,3,4,2,19,6,4,247,19,3,4,3,10,1,8,4,10,1,8,2,10,10,8,6,10,66,8,1,10,34,8,1,18,1,4,1,19,5,4,1032,19,12,4,37,19,7,4,1,18,1,4,26,},
{4,1148,19,4,4,1,18,2,8,8,10,2,8,2,10,8,8,8,10,4,8,7,18,2,14,1,18,2,8,2,10,3,8,4,10,7,8,4,10,3,8,1,15,1,14,1,7,1,8,14,10,4,8,1,10,12,8,9,10,7,8,3,10,7,8,2,10,6,8,3,10,4,8,4,10,4,8,3,10,9,8,25,10,2,8,13,10,1,8,2,15,1,14,6,15,2,14,5,15,9,18,1,8,4,15,2,14,4,15,2,8,3,15,7,14,3,3,1,16,1,3,1,14,1,15,1,8,1,10,1,8,2,15,1,14,3,15,1,8,2,18,4,8,7,10,19,8,20,7,1,8,10,18,3,4,3,19,6,4,246,19,3,4,3,8,5,10,14,8,5,10,66,8,1,10,33,8,2,18,1,4,1,19,5,4,1032,19,12,4,40,19,4,4,1,18,1,3,3,18,1,4,22,},
{4,1148,19,4,4,1,18,6,8,9,10,23,8,4,18,4,8,1,10,3,8,5,10,6,8,5,10,2,8,1,18,1,14,2,18,1,8,1,10,1,8,4,10,2,8,6,10,2,8,4,10,2,8,3,10,5,8,7,10,9,8,3,10,16,8,3,10,4,8,4,10,4,8,3,10,8,8,24,10,6,8,11,10,1,8,2,15,1,14,5,15,2,14,7,15,3,14,3,15,2,8,3,15,2,14,6,15,1,8,4,15,5,8,2,15,2,14,1,3,1,16,1,3,1,14,1,15,1,8,1,10,1,8,2,14,4,15,1,18,1,8,1,18,3,8,1,18,4,14,1,18,2,10,17,8,35,18,2,4,3,19,7,4,245,19,2,4,3,10,1,8,4,10,15,8,4,10,100,8,1,18,2,4,2,19,3,4,1033,19,12,4,40,19,4,4,1,3,5,4,22,},
{4,1148,19,4,4,2,18,2,3,1,18,3,8,9,10,24,8,7,10,3,8,5,10,4,8,4,18,2,8,1,10,3,18,1,14,3,8,1,10,1,8,3,10,4,8,4,10,3,8,10,10,5,8,5,10,21,8,2,10,6,8,3,10,5,8,3,10,3,8,5,10,7,8,7,10,4,8,6,10,13,8,14,7,8,14,6,7,1,14,7,15,2,8,1,15,2,14,6,15,1,8,5,15,4,18,1,8,4,14,2,3,2,14,1,8,2,10,1,8,1,15,1,14,3,15,9,14,5,15,1,8,1,10,15,8,5,10,5,8,25,10,1,8,1,18,2,4,3,19,9,4,242,19,2,4,3,10,1,8,4,10,15,8,2,10,1,8,1,10,100,8,1,18,2,4,2,19,4,4,1032,19,12,4,40,19,4,4,1,3,5,4,22,},
{4,1149,19,4,4,1,18,2,3,2,18,2,8,1,10,1,8,7,10,25,8,5,10,4,8,5,10,2,8,6,18,2,8,1,10,3,18,1,14,3,8,1,10,15,8,10,10,5,8,5,10,28,8,5,10,5,8,1,10,4,8,6,10,6,8,7,10,4,8,4,10,15,8,21,7,1,14,14,15,3,14,4,3,1,14,2,15,1,8,5,15,4,18,5,8,1,15,1,14,4,15,1,8,9,15,3,14,7,3,1,14,2,8,1,10,16,8,2,10,9,8,23,10,1,8,2,18,2,4,2,19,9,4,242,19,2,4,4,8,4,10,118,8,2,18,2,4,2,19,4,4,1034,19,8,4,43,19,2,4,2,18,1,3,3,4,23,},
{4,1155,18,4,8,2,10,1,8,4,10,28,8,6,10,3,8,13,18,1,8,1,10,4,18,1,14,2,18,1,8,1,10,15,8,10,10,5,8,5,10,14,8,3,10,11,8,5,10,4,8,3,10,3,8,6,10,6,8,8,10,20,8,23,7,1,14,13,15,3,14,7,15,1,8,5,18,1,15,4,8,1,18,2,15,2,8,1,15,1,14,5,15,2,8,3,10,3,8,2,15,2,14,3,3,1,14,6,15,1,8,1,10,27,8,24,18,4,4,3,19,7,4,242,19,2,4,4,8,4,10,117,8,3,18,2,4,1,19,5,4,1116,},
{4,1153,19,1,4,3,18,3,8,4,10,26,8,24,10,1,8,3,10,3,8,1,18,1,14,2,18,1,8,1,10,16,8,10,10,4,8,4,10,14,8,5,10,10,8,4,10,5,8,3,10,3,8,5,10,7,8,10,10,12,8,30,7,2,14,8,15,2,18,1,8,1,18,1,15,1,14,6,15,1,8,5,18,1,15,4,8,3,15,1,14,2,15,2,14,2,3,3,14,2,8,2,10,5,8,3,15,1,14,2,3,2,14,6,15,1,8,1,10,6,8,4,10,17,8,23,18,4,4,4,19,6,4,242,19,2,4,4,8,4,10,117,8,4,18,1,4,1,19,5,4,412,19,13,4,691,},
{4,1152,19,4,4,3,18,2,8,3,10,12,8,5,10,9,8,15,10,2,8,6,10,3,8,3,10,1,8,2,18,4,8,2,10,30,8,3,10,3,8,4,10,5,8,7,10,8,8,3,10,6,8,6,10,2,8,5,10,4,8,3,10,3,8,7,10,11,8,14,10,4,8,16,7,2,14,2,7,2,8,7,7,4,15,1,8,7,18,1,15,2,18,1,8,4,18,1,14,5,3,2,16,2,3,1,14,1,15,1,8,1,10,5,8,4,15,1,14,10,15,1,8,1,10,4,8,5,10,17,8,26,18,1,4,6,19,4,4,242,19,2,4,4,8,4,10,117,8,1,10,3,4,2,19,5,4,386,19,19,4,7,19,14,4,690,},
{4,1152,19,4,4,4,18,2,8,2,10,11,8,10,10,5,8,1,18,4,8,8,10,3,8,5,10,5,8,12,10,24,8,3,10,8,8,6,10,3,8,6,10,8,8,5,10,5,8,6,10,3,8,4,10,5,8,3,10,4,8,6,10,10,8,16,10,3,8,19,7,1,8,11,15,1,7,1,8,3,15,3,18,2,8,7,18,1,15,1,14,5,3,1,16,4,3,1,14,1,15,1,8,2,10,2,8,3,10,1,8,2,15,2,14,8,15,1,8,1,10,4,8,6,10,16,8,27,18,3,4,249,19,2,4,4,8,4,10,8,8,3,10,105,8,2,10,3,4,3,19,4,4,386,19,20,4,6,19,14,4,690,},
{4,1152,19,5,4,4,18,2,8,1,10,2,8,2,10,7,8,10,10,5,8,1,18,2,14,1,18,1,8,7,10,4,8,4,10,5,8,3,10,2,8,2,10,1,8,5,10,24,8,3,10,8,8,6,10,2,8,6,10,3,8,2,10,4,8,5,10,14,8,6,10,10,8,7,10,8,8,18,10,1,8,3,7,2,8,10,10,3,8,14,7,2,15,2,14,3,15,1,8,7,18,1,15,2,14,6,3,4,16,2,3,2,14,1,15,1,8,5,10,3,8,2,15,2,14,6,15,1,8,1,10,5,8,5,10,17,8,2,10,1,8,23,18,5,4,1,10,1,4,245,19,2,4,4,8,4,10,8,8,3,10,102,8,4,10,4,18,1,4,2,19,4,4,380,19,3,4,3,19,20,4,6,19,14,4,15,19,2,4,673,},
{4,1152,19,7,4,3,18,1,8,1,10,2,8,3,10,7,8,9,10,6,8,1,18,3,8,6,10,5,8,4,10,3,8,5,10,6,8,4,10,12,8,2,10,10,8,4,10,7,8,4,10,4,8,6,10,3,8,3,10,3,8,5,10,4,8,1,10,9,8,2,10,1,8,1,10,6,8,7,7,2,8,3,10,4,8,23,10,2,8,2,14,2,7,1,8,9,10,4,8,14,7,1,15,3,14,3,18,1,8,8,18,3,15,1,14,7,3,2,16,2,3,1,14,2,15,4,8,1,10,3,8,1,15,2,14,5,15,1,8,3,10,2,8,2,10,1,8,1,10,23,8,12,10,2,8,10,18,4,10,3,4,244,19,2,4,4,8,4,10,1,18,1,8,1,10,5,8,4,10,103,8,2,10,4,18,1,4,3,19,3,4,379,19,5,4,2,19,19,4,17,19,3,4,15,19,5,4,671,},
{4,1156,19,4,4,2,18,1,8,2,10,3,8,2,10,11,8,6,10,4,8,8,10,7,8,10,18,1,8,2,10,5,8,4,10,13,8,2,10,10,8,8,10,4,8,1,10,4,8,2,10,8,8,4,10,2,8,5,10,3,8,3,10,6,8,3,10,8,8,2,7,1,14,1,7,3,14,3,7,1,8,2,10,4,8,22,10,3,8,2,7,1,14,1,7,1,8,3,10,1,8,5,10,4,8,20,14,6,18,1,8,6,15,1,14,9,3,3,14,5,15,1,8,2,10,1,8,2,15,1,14,6,15,1,8,1,18,1,8,6,10,24,8,10,10,3,8,17,10,2,4,243,19,1,4,4,8,5,10,2,18,1,8,1,10,4,8,4,10,109,4,385,19,6,4,2,19,2,4,52,19,8,4,668,},
{4,1156,19,5,4,1,18,3,8,1,10,17,8,6,10,5,8,5,10,7,8,2,18,2,8,1,18,4,8,1,18,1,8,2,10,5,8,4,10,13,8,2,10,11,8,8,10,17,8,5,10,2,8,4,10,4,8,3,10,5,8,4,10,8,8,1,7,1,14,8,7,1,8,2,10,3,8,23,10,4,8,2,7,2,8,2,10,3,8,4,10,4,8,10,10,2,8,8,14,7,18,1,8,6,14,11,3,3,14,4,15,1,8,4,15,1,14,7,15,2,18,1,8,3,18,1,8,1,10,23,8,9,10,4,8,19,10,1,4,248,8,5,10,1,8,1,18,1,8,1,10,4,8,4,10,101,8,1,10,7,4,385,19,5,4,12,18,2,4,5,18,15,10,4,4,19,19,8,4,668,},
{4,1156,19,5,4,2,18,2,8,2,10,4,8,5,10,8,8,6,10,7,8,4,10,5,8,1,18,2,14,4,18,1,8,2,18,2,8,1,10,5,8,4,10,13,8,1,10,13,8,9,10,13,8,7,10,2,8,4,10,4,8,2,10,6,8,6,10,5,8,3,7,6,14,1,7,2,8,2,10,1,8,25,10,3,8,3,7,1,8,3,10,3,8,4,10,4,8,11,10,1,8,8,15,1,14,3,3,2,14,2,18,1,8,5,15,2,14,10,3,4,14,3,15,1,8,3,15,2,14,8,18,1,8,2,18,2,8,2,10,7,8,1,10,12,8,34,18,1,4,3,19,5,4,234,19,1,4,5,8,5,10,2,18,1,8,1,10,4,8,4,10,109,18,1,4,378,19,1,4,5,19,4,4,6,18,17,10,6,8,1,18,4,8,1,10,12,4,1,10,9,4,2,19,10,4,578,19,2,4,85,},
{4,1156,19,6,4,3,18,1,8,2,10,3,8,6,10,7,8,6,10,7,8,3,10,6,8,2,18,1,14,4,18,1,8,2,18,2,8,1,10,5,8,1,18,2,8,2,10,30,8,5,10,13,8,3,10,7,8,3,10,10,8,10,10,2,8,15,10,1,8,9,10,2,8,24,10,3,8,4,10,3,8,21,15,1,14,10,15,2,8,1,15,4,14,9,3,4,14,2,15,2,8,4,15,3,14,5,18,1,8,2,18,3,8,1,10,6,8,2,10,11,8,5,10,2,8,28,18,1,4,3,19,6,4,233,19,1,4,5,8,5,10,2,8,2,10,4,8,4,10,101,8,2,10,5,18,2,4,373,19,7,4,4,19,3,4,7,18,3,8,10,18,3,8,1,10,6,8,6,10,1,8,2,10,6,8,1,18,2,10,6,18,1,10,3,4,4,19,9,4,576,19,5,4,83,},
{4,1157,19,6,4,3,18,1,8,1,10,2,8,7,10,5,8,7,10,16,8,3,18,1,14,4,18,1,8,2,18,1,8,3,10,4,8,1,18,2,8,2,10,4,8,8,10,19,8,4,10,34,8,28,10,2,8,8,10,4,8,23,10,2,8,5,10,3,8,3,10,2,8,16,15,1,14,12,15,5,14,10,3,2,14,4,15,3,8,5,15,1,14,4,18,1,8,1,18,1,15,1,14,2,18,1,8,1,10,5,8,2,10,10,8,5,10,4,8,3,10,4,8,3,10,3,8,14,10,1,4,3,19,7,4,238,8,6,10,1,8,2,10,5,8,1,10,53,8,1,10,49,8,3,10,4,18,2,4,372,19,8,4,10,18,3,10,1,18,1,8,2,10,10,8,4,10,6,8,4,10,11,8,1,18,1,8,2,10,10,4,6,19,6,4,576,19,5,4,83,},
{4,1157,19,7,4,2,18,1,8,20,10,11,8,2,10,4,8,5,18,1,14,2,18,2,8,6,10,4,8,6,10,2,8,8,10,57,8,19,10,7,8,3,10,2,8,8,10,4,8,36,10,3,8,9,10,4,8,2,15,9,14,7,15,3,14,18,15,1,8,5,15,1,14,3,15,1,18,2,14,3,15,1,8,2,10,14,8,5,10,7,8,2,10,5,8,2,10,3,8,13,10,3,4,3,19,7,4,237,8,2,18,3,8,1,10,2,8,1,10,109,8,3,10,3,4,1,18,2,4,372,19,7,4,11,10,4,8,2,10,13,8,2,10,6,8,2,10,12,8,5,10,9,8,1,18,4,4,3,19,5,4,576,19,5,4,83,},
{4,1158,19,6,4,3,18,1,8,14,18,1,8,3,10,6,8,3,10,3,18,2,8,1,10,3,8,6,18,3,8,3,10,2,8,2,10,5,8,14,10,57,8,19,10,12,8,10,10,4,8,3,10,2,8,30,10,7,8,5,10,4,8,2,15,3,8,5,15,1,14,8,15,3,14,18,15,1,8,4,15,1,14,4,18,2,15,1,14,3,18,1,8,1,10,14,8,4,10,8,8,1,10,6,8,2,10,4,8,5,10,2,8,4,10,4,4,3,19,7,4,234,19,1,4,2,8,2,18,3,8,1,10,2,8,1,10,109,8,3,10,3,4,372,19,7,4,7,18,6,10,21,8,2,10,6,8,1,10,12,8,4,10,11,8,1,18,4,4,2,19,5,4,576,19,4,4,84,},
{4,1159,19,5,4,3,18,2,8,18,10,5,8,3,10,3,8,3,10,3,8,2,10,3,8,1,18,2,8,4,10,11,8,11,10,58,8,4,10,1,8,4,10,4,8,5,10,4,8,19,10,10,8,29,10,8,8,4,10,4,8,3,15,4,8,4,15,1,14,21,15,1,14,5,15,2,8,4,15,1,14,5,15,2,14,3,18,1,8,2,10,13,8,5,10,6,8,3,10,5,8,2,10,4,8,1,10,2,8,7,10,5,4,4,19,6,4,233,19,2,4,2,8,2,9,3,10,3,8,1,10,48,8,1,10,56,8,1,10,9,18,2,4,369,19,7,4,7,10,28,8,2,10,14,8,1,10,4,8,3,10,4,8,1,10,8,8,1,18,4,4,2,19,4,4,576,19,4,4,84,},
{4,1160,19,4,4,3,18,5,8,2,18,1,8,6,10,2,8,11,10,15,8,1,18,2,8,3,10,8,8,1,10,4,8,9,10,46,8,1,10,2,8,4,10,5,8,3,10,4,8,3,10,5,8,5,10,1,8,3,18,2,8,16,10,10,8,32,10,6,8,3,10,3,8,3,15,1,14,5,7,1,8,2,15,1,14,21,15,5,8,6,18,1,14,3,3,1,14,2,15,6,8,2,10,13,8,5,10,5,8,4,10,4,8,4,10,3,8,3,10,1,8,7,10,4,4,5,19,5,4,233,19,2,4,2,8,4,10,2,8,3,10,43,8,6,10,50,8,1,10,8,8,1,18,3,8,1,10,1,18,4,4,368,19,6,4,5,10,38,8,2,10,6,8,3,10,4,8,1,10,5,8,1,10,11,18,2,4,3,19,3,4,664,},
{4,1160,19,5,4,2,18,8,8,1,18,1,8,2,10,4,8,9,10,6,8,2,10,9,8,1,18,2,8,3,10,8,8,1,10,5,8,7,10,38,8,4,10,4,8,10,10,2,8,3,10,5,8,4,10,4,8,8,18,1,14,3,18,1,8,6,10,17,8,34,10,9,8,6,14,5,7,2,8,2,7,1,14,19,15,1,8,11,15,1,14,3,3,1,14,3,15,2,14,2,15,2,8,4,10,10,8,5,10,4,8,6,10,3,8,18,10,5,4,5,19,4,4,237,8,3,10,1,8,4,10,43,8,6,10,59,8,1,3,1,16,2,3,1,18,4,3,3,19,1,4,366,19,5,4,4,18,1,10,16,8,3,10,20,8,2,10,5,8,4,10,4,8,2,10,16,18,2,4,670,},
{4,1160,19,6,4,2,18,7,8,2,10,4,8,12,10,4,8,3,10,4,8,1,10,5,8,6,10,6,18,1,8,1,10,7,8,5,10,38,8,4,10,3,8,15,10,5,8,5,10,4,8,7,18,1,14,4,18,1,8,5,10,18,8,12,10,3,8,19,10,9,8,6,14,5,7,1,8,3,7,2,14,19,8,11,15,1,14,12,15,2,8,3,10,2,8,2,10,7,8,5,10,2,8,7,10,4,8,20,10,5,4,243,8,1,10,2,18,3,8,2,10,2,8,5,10,38,8,2,10,61,18,1,3,1,16,3,3,1,18,1,3,6,19,1,4,365,19,5,4,3,18,1,10,17,8,3,10,20,8,2,10,5,8,3,10,5,8,1,18,2,8,1,10,14,18,4,4,668,},
{4,1160,19,7,4,3,18,5,8,2,10,4,8,1,18,2,8,9,10,4,8,3,10,3,8,3,10,6,8,7,10,2,8,1,10,1,8,1,10,3,8,1,10,3,8,5,10,27,8,7,10,3,8,4,10,5,8,14,10,4,8,7,10,4,8,6,18,1,14,4,18,1,8,4,10,18,8,10,10,8,8,19,10,8,8,8,15,2,8,4,7,2,14,5,17,1,16,2,14,11,15,2,8,7,18,2,15,2,18,1,15,1,14,10,15,1,8,3,10,2,8,3,10,7,8,14,10,6,8,17,10,5,4,237,19,1,4,5,10,2,18,2,14,2,8,2,10,2,8,8,10,5,8,1,10,91,8,1,14,1,16,4,3,1,18,1,3,6,19,1,4,366,19,2,4,5,10,11,8,2,10,5,8,2,10,10,8,4,10,6,8,3,10,5,8,2,10,5,8,1,18,1,14,1,3,1,18,1,8,1,10,2,8,1,10,9,18,5,4,668,},
{4,1164,19,4,4,4,18,3,8,2,10,3,8,2,18,2,8,12,10,6,8,4,10,3,8,1,10,3,8,2,18,2,8,2,10,7,8,2,10,3,8,5,10,27,8,7,10,4,8,2,10,12,8,4,10,7,8,8,10,5,8,5,18,4,8,3,10,20,8,9,10,11,8,7,10,2,8,3,10,4,8,5,10,6,8,13,7,2,14,5,16,3,14,14,15,1,18,9,8,3,15,2,14,7,15,1,8,3,10,2,8,3,10,8,8,13,10,6,8,14,10,1,8,2,10,5,4,237,19,1,4,5,10,2,18,3,15,1,8,2,10,2,8,7,10,6,8,1,10,92,14,1,16,4,3,1,18,2,3,5,19,1,4,371,18,1,10,4,8,10,10,17,8,4,10,6,8,2,10,7,8,2,10,4,18,1,3,4,18,1,10,2,8,1,10,8,18,3,4,671,},
{4,1164,19,5,4,4,10,1,18,2,8,6,18,1,8,2,10,6,8,5,10,6,8,3,10,4,8,2,10,2,8,4,18,1,8,2,10,5,8,2,10,3,8,6,10,28,8,6,10,19,8,2,10,7,8,2,18,2,8,8,10,3,8,9,10,20,8,6,10,2,8,2,10,12,8,7,10,3,8,2,10,5,8,4,10,7,8,4,10,2,8,6,7,3,14,4,3,1,17,1,14,3,15,2,14,16,18,3,8,3,10,1,8,1,15,1,14,6,15,1,8,2,15,1,8,1,10,3,8,4,10,4,8,11,10,1,8,4,10,5,8,12,10,4,8,1,10,6,4,236,19,1,4,4,10,3,18,2,8,3,10,4,8,6,10,6,8,2,10,86,8,2,10,3,8,1,14,1,16,2,3,2,18,3,3,3,19,1,4,372,18,1,8,1,10,2,8,4,10,5,8,2,10,19,8,1,10,16,8,5,18,2,3,3,18,2,10,1,8,2,10,7,18,3,4,672,},
{4,1164,19,5,4,5,18,4,8,5,10,8,8,5,10,5,8,4,10,8,8,7,10,4,8,1,10,5,8,5,10,30,8,4,10,20,8,2,10,6,8,2,18,3,8,1,10,4,8,2,10,4,8,8,10,21,8,5,10,4,8,1,10,11,8,3,18,3,8,2,10,3,8,2,10,6,8,3,10,3,8,1,10,3,8,3,10,3,8,1,7,4,8,1,7,4,14,7,15,3,14,12,15,1,18,5,8,3,10,2,9,1,15,1,14,5,15,1,8,3,15,2,8,3,10,1,8,17,10,2,8,5,10,4,8,6,10,10,8,1,10,6,4,242,10,12,8,6,10,5,8,2,10,86,8,2,10,4,14,1,3,1,14,1,18,3,10,2,18,3,4,374,18,1,10,49,8,2,14,2,18,7,10,7,18,4,4,675,},
{4,1164,19,8,4,5,18,2,8,3,10,2,8,2,10,5,8,13,10,9,8,12,10,5,8,3,10,21,8,6,10,4,8,3,10,30,8,2,18,3,8,1,10,4,8,3,10,2,8,7,10,22,8,4,10,18,8,3,18,3,8,2,10,3,8,3,10,5,8,1,10,9,8,7,14,7,7,2,15,1,14,5,15,3,14,8,15,3,18,5,8,1,18,1,8,4,10,3,8,3,15,2,8,5,18,2,8,3,10,2,8,23,10,5,8,4,10,19,4,241,10,12,8,3,10,8,8,1,10,87,8,2,10,4,8,3,10,6,4,380,10,3,18,2,4,2,10,39,8,1,18,1,3,2,18,2,4,691,},
{4,1168,19,6,4,3,18,6,8,17,18,1,8,2,10,10,8,4,10,2,8,1,10,10,8,1,10,6,8,4,10,14,8,11,10,8,8,1,10,23,8,2,18,2,8,15,10,17,8,1,10,4,8,3,10,21,8,3,18,1,8,4,10,20,8,4,15,4,14,9,7,1,14,4,7,1,15,3,14,2,3,1,14,3,15,1,8,8,18,3,8,5,10,9,8,8,10,3,8,2,14,2,18,1,8,1,15,1,14,2,18,1,8,3,15,2,8,5,15,1,8,2,10,4,8,3,10,20,4,237,10,26,8,2,10,88,8,1,10,8,8,3,10,3,4,383,19,3,4,6,10,6,8,2,10,6,8,1,10,15,8,4,18,1,3,1,18,1,4,3,19,3,4,687,},
{4,1168,19,8,4,2,18,7,8,12,18,4,8,1,10,11,8,7,10,5,8,6,10,6,8,3,10,15,8,11,10,7,8,2,10,19,8,1,10,4,8,17,10,17,8,3,10,3,8,3,10,21,8,7,10,6,8,3,10,12,8,3,15,1,14,17,7,2,15,2,14,6,15,1,8,10,18,2,8,6,10,8,8,4,18,4,8,1,10,2,8,1,18,1,14,2,18,2,14,4,18,1,8,1,15,9,8,2,10,4,8,2,10,21,4,237,10,2,8,1,10,114,8,4,10,3,8,3,10,4,4,382,19,6,4,5,18,1,8,2,10,2,8,3,10,3,8,5,10,5,8,5,10,1,8,5,18,3,4,3,19,5,4,686,},
{4,1168,19,9,4,3,18,5,8,10,18,4,8,2,10,11,8,19,10,12,8,4,10,1,8,1,10,6,8,9,10,4,8,5,10,33,8,10,10,17,8,2,10,5,8,1,10,22,8,7,10,6,8,8,10,9,8,2,15,1,14,7,15,3,7,1,14,4,7,3,15,2,14,5,15,1,8,3,18,2,15,1,18,2,8,1,18,1,8,2,18,1,8,6,10,9,8,2,18,1,14,4,18,1,8,3,18,1,15,1,18,3,14,2,3,1,14,1,15,2,14,5,15,4,8,2,10,4,8,2,10,22,4,236,10,117,8,4,10,4,8,1,10,5,4,382,19,6,4,6,8,2,10,1,8,13,10,3,8,12,18,2,4,3,19,6,4,686,},
{4,1168,19,10,4,6,18,4,8,12,10,11,8,22,10,9,8,22,10,2,8,6,10,11,8,2,10,21,8,8,10,49,8,6,10,6,8,10,10,9,8,2,15,1,14,5,8,4,7,1,14,4,7,3,15,1,14,5,15,1,8,3,18,1,15,1,14,3,15,1,18,1,8,16,10,3,8,2,18,1,14,5,18,4,8,3,18,1,15,1,14,1,3,2,14,11,15,2,8,5,10,23,18,1,4,235,10,116,8,4,10,10,4,383,19,6,4,6,18,1,10,1,8,18,18,1,14,2,18,1,8,6,18,1,4,4,19,7,4,686,},
{4,1172,19,9,4,4,18,5,8,10,10,8,8,6,18,2,8,17,10,9,8,19,10,4,8,6,10,11,8,3,10,20,8,6,10,52,8,6,10,5,8,11,10,11,8,1,15,1,14,3,15,1,8,4,7,1,14,1,17,2,14,1,7,3,15,1,14,4,15,2,8,3,15,1,14,4,15,1,18,1,8,11,15,2,14,1,18,1,8,6,18,1,14,5,18,2,15,1,8,2,10,1,8,1,18,1,15,1,14,1,3,2,14,14,18,1,8,2,10,24,18,1,4,235,10,19,8,3,10,94,8,4,10,10,4,383,19,6,4,7,10,2,8,3,10,1,8,2,18,3,8,7,18,2,14,1,3,1,18,2,8,1,10,4,18,1,4,3,19,8,4,686,},
{4,1172,19,10,4,4,18,6,8,9,10,5,8,8,18,2,8,17,10,10,8,6,18,2,8,8,10,5,8,7,10,12,8,2,10,19,8,3,10,57,8,4,10,5,8,12,10,12,8,1,14,4,8,3,7,1,14,1,17,2,14,2,7,1,8,1,7,2,14,4,15,1,8,4,18,1,15,2,14,3,15,1,8,9,18,1,15,1,14,4,15,1,8,4,18,2,15,4,18,4,8,1,10,2,8,1,18,2,14,2,3,1,14,8,16,2,3,3,14,2,18,1,8,1,10,24,18,1,4,234,10,19,8,5,10,93,8,3,10,11,4,384,19,5,4,7,18,3,8,4,18,4,8,2,10,3,8,2,18,2,3,1,18,3,10,5,4,3,19,8,4,687,},
{4,1172,19,10,4,8,18,3,8,3,10,3,8,3,10,4,8,27,10,10,8,5,18,4,8,7,10,4,8,7,10,13,8,1,10,12,8,10,10,25,8,1,10,21,8,6,10,6,8,2,10,6,8,12,10,12,8,1,14,5,15,1,14,2,16,2,17,1,14,1,7,2,8,1,7,1,14,6,15,1,8,5,18,1,15,1,14,2,18,1,8,9,15,1,14,5,15,1,8,2,18,2,15,1,18,1,8,6,18,2,8,1,10,2,8,1,18,2,15,1,14,9,16,5,3,2,14,1,18,1,8,1,10,22,8,2,10,1,18,1,4,233,10,19,8,5,10,81,8,1,10,12,8,1,10,12,4,396,18,5,8,2,18,4,8,1,10,4,8,3,18,5,4,1,10,2,4,4,19,8,4,688,},
{4,1172,19,10,4,10,18,2,8,1,10,4,8,2,10,6,8,19,10,3,8,3,10,2,8,3,10,7,8,4,18,5,8,17,10,25,8,11,10,25,8,2,10,16,8,11,10,5,8,2,10,5,8,8,10,1,8,4,10,12,8,1,14,7,17,1,16,2,14,1,7,5,14,5,15,1,8,7,18,2,15,1,18,1,8,9,15,1,14,4,15,1,18,3,14,3,15,1,8,2,10,3,8,7,18,4,15,1,14,6,17,1,16,4,3,2,14,2,18,1,8,1,10,5,8,2,10,14,8,3,10,2,18,1,4,233,10,3,8,2,10,12,8,6,10,77,8,6,10,10,8,2,10,12,4,396,18,11,10,6,8,2,18,4,4,8,19,7,4,689,},
{4,1174,19,8,4,11,18,1,8,1,10,12,8,18,10,5,8,2,10,2,8,3,10,7,8,28,10,23,8,2,18,1,8,7,10,5,8,2,10,19,8,2,10,15,8,10,10,8,8,13,10,3,8,4,10,10,8,1,15,1,14,3,17,2,14,2,17,2,14,2,7,4,14,6,15,1,8,1,10,4,8,3,18,3,8,9,18,1,15,3,18,2,8,2,18,1,14,4,8,1,10,4,8,6,18,4,8,1,18,1,14,6,16,4,3,1,14,4,18,1,8,1,10,5,8,3,10,10,8,3,10,6,4,231,10,4,8,3,10,11,8,7,10,7,8,1,10,69,8,8,10,7,8,3,10,5,8,4,10,3,4,397,18,3,4,3,18,2,4,4,10,3,18,1,10,1,18,5,4,8,19,6,4,690,},
{4,1180,19,1,4,13,10,14,8,8,10,2,8,7,10,5,8,2,10,12,8,29,10,22,8,2,18,1,8,6,10,5,8,3,10,19,8,1,10,17,8,3,10,13,8,14,10,3,8,5,10,9,8,1,15,1,14,4,17,4,14,11,15,2,8,2,10,5,8,3,18,2,8,12,18,1,8,4,18,1,14,4,8,2,10,3,8,5,18,5,8,1,15,1,14,1,3,1,14,3,16,5,14,2,15,2,8,3,10,5,8,4,10,3,8,1,10,5,8,3,10,5,18,1,4,231,10,4,8,4,10,10,8,4,10,10,8,1,10,71,8,6,10,6,8,4,10,4,8,2,18,4,10,1,18,1,4,415,18,3,4,10,19,4,4,691,},
{4,1190,19,2,4,3,10,5,8,1,10,6,8,9,10,3,8,6,10,6,8,1,10,11,8,5,18,5,8,11,10,3,8,4,10,24,8,7,10,3,8,4,10,22,8,1,10,33,8,13,10,4,8,5,10,8,8,2,15,1,14,5,17,3,14,8,15,1,8,5,10,6,8,3,18,3,8,16,18,1,14,4,18,1,8,9,15,1,18,2,15,1,18,2,14,1,3,1,16,9,14,3,8,2,10,8,8,2,10,11,8,2,10,5,18,1,4,231,10,4,8,4,10,10,8,3,10,85,8,5,10,4,8,5,10,3,8,3,18,4,10,1,4,396,19,6,4,722,},
{4,1190,19,3,4,3,10,1,8,1,10,2,8,4,10,2,8,8,10,5,8,6,10,17,8,6,18,5,8,11,10,3,8,2,10,9,8,6,10,7,8,1,10,3,8,6,10,4,8,4,10,55,8,14,10,2,8,7,10,8,8,2,15,2,14,4,17,2,16,1,17,2,16,2,17,1,14,2,15,1,8,2,10,10,8,3,18,3,8,17,18,1,15,1,14,2,15,1,18,1,8,3,18,1,8,3,18,1,15,1,18,1,15,2,14,3,3,1,16,9,3,1,14,2,8,1,10,29,18,1,4,231,10,4,8,4,10,10,8,3,10,87,8,3,10,3,8,12,18,4,10,1,4,396,19,6,4,722,},
{4,1190,19,5,4,1,18,1,10,3,8,1,18,1,8,11,10,4,8,8,10,5,8,1,10,10,8,7,18,1,14,1,18,3,8,10,10,15,8,6,10,6,8,2,10,3,8,8,10,2,8,3,10,39,8,5,10,12,8,23,10,8,8,1,18,1,15,2,14,4,17,1,16,7,14,2,15,1,8,1,10,10,8,4,18,2,8,11,18,4,8,4,18,1,15,5,18,4,8,2,18,1,15,3,14,4,3,1,16,9,3,1,14,2,8,1,10,23,8,1,10,5,18,1,4,230,10,1,8,1,10,3,8,4,10,11,8,2,10,93,8,5,10,1,8,6,18,4,10,1,4,396,19,6,4,722,},
{4,1190,19,5,4,2,10,3,18,4,8,8,10,4,8,3,10,2,8,4,10,15,8,4,10,2,8,2,18,1,14,1,18,2,8,11,10,15,8,6,10,5,8,14,10,3,8,2,10,39,8,6,10,13,8,16,18,3,8,2,10,8,8,3,15,1,14,4,3,1,17,1,16,3,17,1,14,4,15,1,8,2,10,9,8,4,18,1,8,12,18,7,8,1,18,2,15,1,14,3,15,3,18,1,15,1,18,2,15,1,14,5,3,2,16,6,14,1,3,2,14,2,15,1,8,1,10,23,8,2,10,5,18,1,4,229,10,1,8,1,10,3,8,4,10,105,8,5,10,2,8,6,18,4,4,398,19,4,4,723,},
{4,1190,19,5,4,4,10,1,4,1,18,5,8,6,10,3,8,4,10,3,8,4,10,12,8,5,10,3,8,2,18,3,8,19,10,7,8,7,10,5,8,7,10,1,8,6,10,5,8,2,10,3,8,1,10,26,8,1,10,7,8,3,10,19,8,11,18,1,14,2,18,2,8,1,10,10,8,2,14,14,15,1,8,3,10,7,8,4,18,2,8,14,18,7,15,2,14,4,15,1,18,1,15,1,14,1,15,1,18,1,15,1,14,5,3,3,14,1,16,4,14,4,15,1,8,1,10,24,8,3,10,4,18,3,4,227,10,1,8,1,10,3,8,4,10,14,8,1,10,89,8,5,10,3,8,7,18,1,10,1,4,1126,},
{4,1190,19,5,4,10,18,3,8,10,10,5,8,3,10,9,8,7,10,4,8,3,18,1,8,34,10,4,8,5,10,2,8,8,10,5,8,7,10,25,8,2,10,33,8,5,18,2,14,2,18,2,8,2,10,10,8,1,18,1,14,8,8,2,15,2,14,2,15,2,8,2,10,6,8,17,18,1,8,2,18,2,15,2,18,3,15,2,14,3,18,1,8,1,18,1,15,1,14,2,15,2,14,10,16,4,14,2,15,1,8,1,10,4,8,2,10,14,8,2,10,2,8,9,18,1,10,2,4,226,10,1,8,1,10,3,8,4,10,14,8,1,10,90,8,3,10,5,8,7,10,1,4,1126,},
{4,1201,19,2,4,3,18,3,8,8,10,7,8,2,10,5,8,6,10,8,8,9,18,1,8,28,10,4,8,6,10,2,8,7,10,6,8,6,10,52,8,1,10,9,8,1,18,1,8,3,18,3,8,6,10,9,8,1,18,1,14,3,15,1,8,5,15,1,14,4,18,1,8,1,10,9,8,13,18,1,14,3,15,4,18,2,8,1,18,1,15,1,14,3,18,1,8,3,18,1,14,7,3,2,14,1,15,2,14,2,16,4,3,1,14,1,15,1,10,22,8,11,18,1,8,2,10,1,4,224,10,7,8,10,10,87,8,4,10,17,8,3,10,4,4,1126,},
{4,1200,19,4,4,3,18,3,8,7,10,6,8,3,10,4,8,7,10,10,8,7,18,1,8,14,18,2,8,12,10,3,8,5,10,5,8,4,10,9,8,5,10,28,8,2,10,3,8,2,10,8,8,1,10,8,8,1,10,9,8,15,10,9,8,1,18,3,8,6,15,1,14,4,8,2,10,10,8,12,14,4,15,2,18,2,8,5,15,3,8,4,15,2,14,9,15,2,14,3,16,3,3,1,14,1,8,1,10,22,8,11,18,2,8,1,10,1,4,224,10,1,8,1,10,5,8,2,10,1,8,7,10,4,8,4,10,78,8,5,10,18,8,2,10,3,4,1127,},
{4,1200,19,4,4,3,18,3,8,4,10,2,8,1,10,6,8,4,10,2,8,4,10,2,8,7,10,6,8,35,10,2,8,3,10,8,8,5,10,7,8,5,10,29,8,2,10,2,8,4,10,5,8,3,10,18,8,2,10,2,8,13,10,7,8,2,18,2,8,13,10,10,8,11,18,1,14,3,15,1,8,10,15,2,18,1,8,3,15,3,14,8,15,3,14,2,16,3,14,2,8,1,10,24,8,12,10,2,4,223,10,2,8,1,10,18,8,5,10,77,8,4,10,18,8,4,10,1,4,3,19,5,4,1120,},
{4,1200,19,5,4,4,18,1,8,3,10,3,8,2,10,4,8,5,10,2,8,3,10,5,8,6,10,6,8,31,10,3,8,4,10,9,8,3,10,8,8,5,10,30,8,2,10,2,8,3,10,5,8,3,10,24,8,5,10,1,8,6,10,8,8,15,10,6,8,2,10,5,8,10,15,1,18,1,8,6,10,4,8,4,18,1,8,2,18,1,15,3,14,5,15,6,14,2,16,3,14,1,15,1,8,1,10,27,8,2,10,3,8,4,10,3,4,221,10,22,8,6,10,98,8,4,10,1,4,3,19,5,4,1120,},
{4,1202,19,5,4,3,18,1,8,3,10,3,8,1,10,3,8,5,10,3,8,4,10,6,8,4,10,6,8,31,10,3,8,4,10,9,8,2,10,44,8,1,10,30,8,4,10,4,8,5,10,3,8,4,10,9,8,8,10,4,8,2,10,6,8,2,10,7,8,15,10,6,8,4,18,3,15,2,14,5,15,2,18,2,15,2,14,2,3,1,16,2,3,1,14,1,15,1,8,1,10,25,8,10,10,4,4,219,10,17,8,1,10,6,8,5,10,75,8,2,10,6,8,2,10,14,8,4,10,1,4,2,19,6,4,1120,},
{4,1204,19,4,4,2,10,1,8,6,10,2,8,4,10,7,8,4,10,6,8,2,10,8,8,30,10,2,8,4,10,85,8,6,10,4,8,4,10,5,8,3,10,10,8,7,10,5,8,1,10,6,8,1,10,9,8,14,10,6,8,7,18,1,15,1,14,5,15,2,8,2,15,1,14,3,3,1,16,2,14,2,8,1,10,25,8,10,10,6,4,216,10,16,8,4,10,6,8,4,10,76,8,2,10,5,8,4,10,8,8,1,10,4,8,4,10,1,4,2,19,6,4,1120,},
{4,1204,19,4,4,2,10,2,8,5,10,1,8,4,10,9,8,3,10,16,8,14,10,3,8,18,10,4,8,5,10,2,8,1,10,57,8,1,10,15,8,7,10,5,8,3,10,5,8,2,10,11,8,3,10,7,8,4,10,15,8,15,10,5,8,8,15,2,14,4,15,2,18,2,15,1,14,3,3,2,14,2,15,1,10,25,8,11,10,7,4,216,10,15,8,4,10,6,8,4,10,76,8,2,10,5,8,4,10,8,8,2,10,3,8,4,18,1,4,2,19,5,4,1121,},
{4,1204,19,5,4,3,10,1,8,8,10,10,8,3,10,17,8,13,10,3,8,17,10,5,8,6,10,1,8,2,10,56,8,3,10,12,8,6,10,7,8,2,10,20,8,1,10,7,8,5,10,15,8,16,10,3,8,11,15,6,18,2,15,2,14,5,15,1,8,1,10,25,8,11,10,3,8,1,10,3,18,2,4,212,10,17,8,4,10,6,8,4,10,77,8,1,10,5,8,4,10,8,8,2,10,4,8,3,18,1,4,1,19,6,4,1121,},
{4,1205,19,6,4,2,18,3,8,5,10,7,8,6,10,5,8,3,10,9,8,6,10,4,8,2,10,4,8,17,10,6,8,4,10,2,8,3,10,49,8,2,10,4,8,2,10,12,8,3,10,23,18,2,10,15,8,6,10,14,8,7,18,1,15,3,8,13,10,3,8,9,15,2,8,3,15,5,8,2,10,28,8,7,10,1,8,7,18,3,4,210,10,18,8,4,10,5,8,5,10,83,8,4,10,17,18,1,4,1,19,5,4,1122,},
{4,1206,19,6,4,2,18,2,8,6,10,5,8,6,10,5,8,4,10,9,8,5,10,11,8,18,10,7,8,2,10,2,8,3,10,48,8,4,10,4,8,2,10,9,8,5,10,7,18,2,10,14,18,1,10,1,8,1,10,9,8,2,10,3,8,4,10,4,8,1,10,11,8,2,18,5,14,5,18,1,8,11,10,5,8,1,10,3,8,16,10,29,8,3,10,4,8,6,18,4,4,208,10,20,8,2,10,7,8,5,10,82,8,4,10,17,4,2,19,5,4,1122,},
{4,1206,19,7,4,2,18,2,8,5,10,5,8,6,10,5,8,4,10,9,8,4,10,10,8,21,10,10,8,3,10,48,8,4,10,14,8,6,10,23,18,2,10,1,8,1,10,3,8,1,10,4,8,2,10,3,8,3,10,5,8,2,10,10,8,2,18,4,14,6,15,1,18,1,8,11,10,2,8,2,10,5,8,10,15,1,18,3,8,2,10,28,8,4,10,4,8,4,18,6,4,5,19,4,4,198,10,19,8,4,10,6,8,8,10,78,8,5,10,14,8,1,10,2,4,2,19,5,4,1122,},
{4,1207,19,6,4,3,18,1,8,4,10,7,8,4,10,6,8,3,10,10,8,4,10,9,8,23,10,8,8,4,10,47,8,5,10,4,8,4,10,5,8,5,10,27,8,1,10,9,8,2,10,4,8,1,10,5,8,4,10,9,8,2,18,4,14,3,3,2,14,2,15,1,8,7,18,1,8,8,10,4,8,8,15,3,14,3,18,1,8,2,10,23,8,2,10,1,8,5,10,4,8,6,18,4,4,5,19,5,4,197,10,14,8,2,10,3,8,2,10,9,8,6,10,76,8,11,10,12,8,1,10,1,4,2,19,5,4,1122,},
{4,1209,19,4,4,3,18,1,8,4,10,8,8,3,10,19,8,4,10,10,8,3,10,5,8,15,10,7,8,2,10,48,8,6,10,3,8,5,10,5,8,4,10,50,8,4,10,9,8,6,15,1,14,2,3,1,14,2,15,1,8,6,18,1,15,3,8,3,18,1,8,11,15,5,14,5,18,1,8,2,10,22,8,10,10,4,8,5,10,1,8,1,10,3,4,4,19,5,4,196,10,14,8,5,10,1,8,2,10,10,8,4,10,71,8,2,10,3,8,6,10,2,8,5,10,11,8,1,10,1,4,2,19,4,4,1123,},
{4,1211,19,2,4,4,8,2,10,11,8,2,10,14,8,1,10,4,8,4,10,3,8,3,10,11,8,17,10,6,8,1,10,48,8,6,10,5,8,4,10,5,8,2,10,33,8,2,10,16,8,4,10,9,8,7,18,1,15,1,14,4,8,6,15,1,14,4,15,2,14,3,15,2,8,1,15,1,8,6,15,1,14,2,15,1,14,5,18,1,8,1,10,24,8,1,18,1,8,9,10,2,8,5,10,6,4,5,19,4,4,195,10,15,8,4,10,16,8,1,10,72,8,3,10,2,8,6,10,1,8,4,18,2,8,1,10,12,4,2,19,4,4,1123,},
{4,1216,10,1,8,1,10,12,8,2,10,14,8,2,10,2,8,4,10,4,8,3,10,9,8,11,10,5,8,4,10,12,8,3,10,6,8,4,10,29,8,5,10,14,8,3,10,30,8,2,18,3,8,2,10,12,8,6,10,8,8,9,18,1,14,3,15,1,8,5,18,1,15,1,14,10,15,1,14,4,15,1,8,3,15,1,14,2,15,1,18,1,14,2,18,1,8,2,10,25,8,4,10,1,8,12,10,1,8,2,10,5,4,4,19,4,4,196,10,16,8,1,10,89,8,4,10,2,8,6,10,1,8,3,18,1,14,2,18,1,8,1,10,11,4,2,19,4,4,9,19,2,4,1112,},
{4,1217,10,13,8,1,10,15,8,1,10,2,8,5,10,4,8,3,10,10,8,8,10,6,8,10,10,10,8,10,10,7,8,5,10,35,8,4,10,29,8,2,18,5,8,3,10,5,8,11,10,7,8,11,15,1,14,1,15,1,8,5,15,1,14,17,15,1,8,3,15,1,14,2,15,2,14,2,15,1,8,1,10,25,8,5,10,1,8,11,10,2,8,2,10,7,4,3,19,3,4,193,10,109,8,4,10,2,8,6,10,1,8,3,18,1,3,2,18,1,8,2,10,8,4,4,19,4,4,9,19,1,3,1,19,1,4,1111,},
{4,1217,10,2,8,3,10,8,8,1,10,4,8,5,10,9,8,1,10,2,8,3,10,5,8,2,10,21,8,11,10,12,8,6,10,10,8,6,10,14,8,1,10,19,8,6,10,27,8,20,10,1,8,3,10,9,8,12,14,2,15,2,8,1,15,2,14,17,15,2,8,3,15,2,14,6,8,2,10,17,8,1,10,5,8,18,10,3,8,2,10,7,4,4,19,2,4,184,10,2,18,3,10,109,8,2,10,1,8,3,10,4,8,3,10,4,8,1,18,2,3,3,18,1,8,1,10,7,18,1,4,4,19,4,4,8,19,3,3,1,4,1111,},
{4,1217,18,1,10,2,8,2,10,3,8,3,10,2,8,1,10,4,8,1,18,2,8,2,10,8,8,1,10,4,8,2,10,5,8,2,10,21,8,1,18,2,8,5,18,1,8,3,10,1,8,5,10,4,8,7,10,11,8,5,10,34,8,6,10,28,8,19,10,13,8,13,18,1,8,3,15,1,14,3,3,1,14,14,15,2,8,2,15,4,14,5,15,1,8,1,10,16,8,3,10,5,8,16,10,4,8,5,10,5,18,2,4,185,18,1,10,4,8,2,10,12,8,1,10,96,8,3,10,4,8,5,10,5,18,3,3,3,18,1,10,8,4,4,19,1,4,11,19,5,4,1111,},
{4,1219,10,7,8,2,10,2,8,1,10,4,8,4,10,8,8,2,10,12,8,1,10,22,8,1,18,1,8,27,10,13,8,1,10,34,8,6,10,7,8,2,10,21,8,6,10,2,8,11,10,1,8,6,10,5,8,4,10,2,8,11,15,1,14,2,3,1,17,1,14,4,15,2,14,9,15,7,14,6,8,2,10,16,8,1,10,7,8,5,10,1,8,19,10,5,18,1,4,184,18,1,4,1,10,1,8,1,10,27,8,1,10,92,8,6,10,3,18,4,3,3,18,1,10,8,4,3,19,2,4,11,19,5,4,1111,},
{4,1220,10,2,8,1,10,7,8,1,10,15,8,3,10,21,8,3,10,11,8,29,10,21,8,3,10,10,8,2,10,9,8,7,10,9,8,2,10,21,8,5,10,4,8,19,10,2,8,4,10,3,8,7,10,2,8,2,15,1,14,2,3,2,14,3,15,3,14,5,15,2,14,6,15,3,14,5,15,1,8,1,10,6,8,3,10,16,8,4,10,5,8,17,10,4,4,184,18,2,4,1,10,1,8,2,10,21,8,2,10,1,8,3,10,63,8,3,10,25,8,6,10,3,18,5,3,3,18,1,10,8,4,2,19,3,4,11,19,4,4,1112,},
{4,1220,10,2,8,3,10,4,8,2,10,15,8,3,10,20,8,2,10,14,8,10,18,2,8,13,10,10,8,3,10,10,8,5,10,7,8,6,10,6,8,7,10,32,8,5,10,5,8,19,10,2,8,13,10,4,8,2,14,6,15,4,14,4,15,4,14,6,15,1,14,2,3,1,14,3,8,2,10,6,8,4,10,2,8,1,10,12,8,3,10,6,8,18,10,3,4,184,18,2,4,1,10,1,8,2,10,2,8,2,10,9,8,1,10,7,8,2,10,1,8,2,10,64,8,4,10,7,8,2,10,15,8,4,10,4,4,5,19,1,3,3,18,1,10,8,4,2,19,3,4,11,19,1,3,1,19,2,4,1112,},
{4,1221,10,1,18,2,8,1,10,22,8,2,10,20,8,3,10,13,8,9,18,1,15,1,18,4,8,2,18,2,8,4,10,12,8,4,10,4,8,11,10,5,8,3,10,1,8,3,10,5,8,7,10,30,8,8,10,5,8,9,10,2,8,7,10,3,8,13,10,5,8,1,15,1,14,3,15,4,14,6,15,3,14,12,15,1,8,2,10,7,8,3,10,3,8,2,10,11,8,3,10,6,8,17,10,5,18,2,4,178,19,3,18,3,4,1,10,4,8,2,10,6,8,6,10,8,8,1,10,66,8,3,10,6,8,4,10,14,8,3,10,5,4,2,19,2,4,1,19,1,3,2,18,2,10,5,8,2,10,1,4,1,19,4,4,11,19,1,3,1,19,1,4,1113,},
{4,1223,18,1,10,43,8,5,10,13,8,10,15,1,18,3,8,3,18,1,8,4,10,12,8,6,10,2,8,2,18,1,8,9,10,2,8,5,10,9,8,3,10,2,8,1,10,32,8,7,10,4,8,4,10,3,8,9,10,7,8,10,10,7,8,3,15,3,8,3,15,1,14,20,15,1,8,8,10,17,8,1,10,3,8,3,10,5,8,19,10,5,9,1,10,1,4,177,19,3,18,7,10,10,8,6,10,83,8,4,10,13,8,3,10,6,18,2,19,2,4,1,19,1,3,2,18,1,4,1,10,4,8,3,10,1,4,1,19,4,4,11,19,3,4,1113,},
{4,1224,10,43,8,5,10,12,8,11,18,3,8,8,10,13,8,4,10,4,8,1,18,2,8,8,10,2,8,6,10,8,8,4,10,12,8,2,10,21,8,6,10,3,8,4,10,7,8,6,10,8,8,10,10,3,8,6,15,3,8,4,15,1,14,3,15,1,14,16,15,1,8,2,10,1,8,6,10,17,8,5,10,5,8,15,10,13,4,176,19,3,3,3,18,4,10,9,8,6,10,84,8,4,10,21,18,3,19,2,4,1,19,3,4,2,10,4,8,3,10,1,4,1,19,4,4,11,19,3,4,1113,},
{4,1224,18,1,8,1,10,2,8,2,10,21,8,2,10,14,8,5,10,8,8,1,10,3,8,5,10,1,8,2,10,1,8,13,10,5,8,6,10,10,8,2,18,1,8,8,10,2,8,6,10,9,8,2,10,12,8,4,10,20,8,6,10,3,8,4,10,3,8,1,10,1,8,8,10,8,8,10,10,3,8,5,15,1,14,3,15,1,8,3,15,1,14,3,15,1,14,13,17,1,3,1,14,2,8,1,10,4,8,4,10,17,8,4,10,4,8,17,10,14,4,154,18,3,4,17,19,4,3,3,18,4,10,9,8,5,10,85,8,5,10,5,8,2,10,12,18,2,19,8,4,2,10,5,8,2,10,1,4,1,19,4,4,11,19,2,4,1114,},
{4,1224,18,1,10,1,8,4,10,21,8,2,10,15,8,4,10,8,8,8,10,3,8,1,10,1,8,13,10,3,8,4,18,1,8,3,10,7,8,15,10,1,8,5,10,23,8,6,10,17,8,1,10,1,8,12,10,3,8,10,10,7,8,12,10,2,8,4,15,2,14,4,15,1,8,3,15,1,14,18,3,1,14,2,8,2,10,3,8,4,10,17,8,4,10,3,8,18,10,4,8,2,10,8,4,5,18,2,4,142,18,13,19,1,4,8,19,6,3,4,18,2,10,11,8,4,10,85,8,14,10,10,18,2,19,9,4,2,10,7,4,2,19,4,4,1127,},
{4,1225,18,1,10,2,8,2,10,21,8,2,10,17,8,1,10,9,8,8,10,3,8,1,10,3,8,17,18,2,8,3,10,6,8,21,10,5,8,2,10,17,8,7,10,16,8,4,10,2,8,6,10,5,8,10,10,6,8,19,15,1,14,5,15,1,8,3,15,1,14,20,15,1,8,8,10,18,8,4,10,2,8,19,10,3,8,4,10,13,8,1,9,1,8,1,10,1,4,130,18,5,3,10,18,5,3,2,19,2,4,6,19,5,3,6,18,1,10,1,8,1,10,9,8,6,10,81,8,18,10,9,4,5,19,6,4,2,10,7,4,2,19,4,4,1036,19,3,4,88,},
{4,1227,10,24,8,2,10,27,8,7,10,4,8,1,10,5,8,13,18,4,8,3,10,6,8,3,18,1,8,2,10,1,8,12,10,5,8,4,10,17,8,8,10,15,8,3,10,4,8,5,10,4,8,10,10,6,8,18,18,1,15,2,14,4,15,1,8,4,15,2,14,2,15,5,14,5,15,5,14,2,15,1,8,8,10,19,8,31,10,19,4,123,18,5,3,11,18,9,3,3,19,2,4,4,19,4,3,8,18,1,10,1,8,2,10,8,8,17,10,62,8,1,10,6,8,20,10,9,4,4,19,8,18,3,8,1,10,3,4,2,19,3,4,1036,19,4,4,88,},
{4,1228,10,23,8,1,10,28,8,7,10,4,8,1,10,5,8,12,18,1,15,1,18,1,8,5,10,5,8,4,18,1,8,2,10,1,8,13,10,3,8,5,10,16,8,9,10,15,8,3,10,4,8,4,10,5,8,5,10,3,8,1,10,7,8,18,18,1,15,6,8,5,15,5,8,3,15,1,14,5,15,2,8,3,14,3,8,4,10,24,8,31,10,18,4,121,18,18,10,6,18,5,3,1,18,2,4,4,19,3,3,8,18,1,10,1,8,3,10,7,8,19,10,59,8,4,10,5,8,21,10,9,4,2,19,9,3,2,18,2,10,3,4,1041,19,4,4,88,},
{4,1228,10,32,8,2,10,13,8,2,10,3,8,2,10,2,8,3,10,3,8,2,10,5,8,12,18,1,15,1,18,1,8,5,10,2,8,9,10,2,8,6,10,2,8,11,10,17,8,11,10,15,8,10,10,5,8,3,10,4,8,4,10,5,8,18,18,1,15,4,8,5,15,2,8,8,15,1,14,5,15,2,8,2,15,1,14,3,8,3,10,26,8,6,10,1,8,22,10,12,8,2,10,1,8,3,18,4,4,116,18,15,8,1,10,5,8,4,10,4,8,1,18,5,4,2,19,3,3,9,18,1,10,1,8,2,10,7,8,21,10,58,8,4,10,5,8,20,10,9,18,4,19,7,3,4,18,2,10,1,4,1042,19,5,4,87,},
{4,1232,10,1,18,3,10,11,8,1,10,11,8,3,10,8,8,11,10,4,8,2,10,3,8,2,10,5,8,7,10,1,8,4,18,2,8,2,10,1,8,13,10,3,8,4,10,5,8,9,10,5,8,2,10,10,8,12,10,6,8,2,10,8,8,8,10,1,8,4,10,8,8,5,10,5,8,18,15,4,8,3,15,4,8,7,15,1,14,7,15,2,8,1,15,1,14,3,8,9,10,20,8,4,10,4,8,21,10,11,8,6,18,16,10,1,4,100,18,8,10,6,18,4,10,6,8,9,10,1,18,5,19,4,3,10,18,1,10,11,8,6,10,2,8,13,10,58,8,4,10,4,8,19,10,5,8,1,10,3,18,2,3,4,19,6,3,5,18,1,10,1,4,1042,19,5,4,87,},
{4,1240,10,7,8,1,10,12,8,2,10,8,8,11,10,15,8,7,10,3,8,7,10,1,8,11,10,5,8,3,10,6,8,9,10,5,8,2,10,8,8,14,10,6,8,1,10,10,8,5,10,3,8,4,10,8,8,6,10,1,8,21,15,2,8,1,15,3,14,3,15,3,8,5,15,2,14,7,15,3,14,2,15,1,8,10,10,21,8,3,10,2,8,23,10,10,8,7,18,17,10,1,4,98,10,1,18,7,10,3,8,3,10,15,8,6,10,1,18,2,3,3,18,1,19,2,3,8,18,3,10,11,8,5,10,4,8,10,10,7,8,1,10,52,8,4,10,4,8,19,10,1,8,7,18,3,3,4,18,1,4,2,19,3,3,5,18,2,4,1042,19,5,4,87,},
{4,1235,19,1,4,6,10,29,8,5,10,4,8,3,10,13,8,2,10,9,8,14,10,1,8,5,10,2,8,3,10,7,8,9,10,11,8,11,18,1,8,5,10,6,8,1,10,8,8,1,10,9,8,2,10,10,8,16,10,3,8,9,18,1,15,2,8,2,14,5,15,6,14,15,15,1,8,2,10,3,8,6,10,21,8,27,10,11,8,2,10,5,8,13,18,2,8,2,10,1,4,97,10,3,8,1,18,4,10,21,8,5,10,2,8,1,18,2,3,5,18,3,3,4,18,3,10,11,8,8,10,3,8,7,10,10,8,1,10,53,8,4,10,6,8,1,10,6,8,6,10,2,8,3,14,2,8,4,18,9,19,1,3,3,19,1,3,5,18,1,4,1042,19,5,4,87,},
{4,1234,19,4,4,5,10,9,8,2,10,18,8,4,10,5,8,2,10,13,8,2,10,11,8,11,10,3,8,4,10,1,8,5,10,4,8,11,10,8,8,2,10,2,8,8,10,1,8,1,18,1,8,1,10,2,8,2,10,5,8,2,10,18,8,1,10,13,8,14,10,3,8,4,10,1,8,3,18,1,15,3,8,2,15,1,14,4,15,1,14,20,15,1,8,2,10,2,8,11,10,17,8,26,10,11,8,3,10,5,8,9,10,3,8,2,10,4,4,96,10,5,8,4,10,28,8,2,18,14,10,2,8,2,10,8,8,9,10,3,8,5,10,54,8,1,10,27,8,7,10,2,8,3,14,2,8,4,18,3,8,1,10,1,8,1,18,3,3,4,19,3,3,3,18,1,4,1043,19,3,4,88,},
{4,1234,19,7,4,3,10,18,8,2,10,8,8,4,10,5,8,1,10,13,8,4,10,10,8,10,10,4,8,3,10,2,8,19,10,13,8,7,10,2,8,3,10,2,8,2,10,17,8,1,10,7,8,1,10,14,8,8,10,2,8,3,10,4,8,1,10,3,8,3,14,2,15,1,8,2,10,1,8,1,15,1,14,13,15,5,14,7,15,1,8,13,10,23,8,21,10,10,8,6,10,1,8,11,10,10,4,2,10,2,4,8,19,1,4,59,19,2,4,21,10,20,8,2,10,18,8,1,18,12,10,3,8,1,10,10,8,6,10,6,8,3,10,53,8,3,10,26,8,20,10,4,18,2,3,6,19,1,3,4,18,1,4,1134,},
{4,1234,19,9,4,3,10,1,8,1,10,14,8,2,10,8,8,4,10,17,8,1,10,1,8,6,10,9,8,9,10,4,8,3,10,2,8,17,10,3,8,7,10,5,8,7,10,3,8,2,10,3,8,1,10,17,8,2,10,13,8,1,10,8,8,6,10,13,8,3,18,1,14,2,15,1,8,2,10,1,8,1,15,1,14,13,15,6,14,7,15,1,8,12,10,12,8,2,10,10,8,20,10,6,8,23,10,6,8,1,10,6,4,7,19,7,4,41,19,16,4,20,10,1,8,2,10,40,18,8,10,17,8,3,10,64,8,4,10,25,8,19,10,4,8,1,18,1,3,12,18,1,4,1134,},
{4,1238,19,6,4,2,10,1,8,6,10,19,8,3,10,16,8,10,10,10,8,8,10,4,8,3,10,2,8,19,10,1,8,7,10,5,8,7,10,3,8,2,10,2,8,3,10,8,8,3,10,5,8,1,10,14,8,1,10,7,8,7,10,7,8,1,10,4,8,5,15,3,8,3,15,1,14,14,15,6,14,8,15,2,8,12,10,10,8,3,10,10,8,7,10,1,8,11,10,6,8,24,10,5,8,1,10,6,18,1,4,6,19,8,4,40,19,16,4,20,18,1,8,2,10,41,8,2,18,3,8,1,10,85,8,4,10,24,8,21,10,2,8,1,18,5,19,1,3,8,18,1,4,1134,},
{4,1239,19,6,4,2,18,7,10,10,8,2,10,5,8,4,10,14,8,12,10,11,8,7,10,4,8,3,10,2,8,12,10,2,8,5,10,1,8,7,10,4,8,9,10,1,8,3,10,2,8,3,10,3,8,2,10,2,8,1,18,2,8,2,10,4,8,1,10,14,8,2,10,7,8,6,10,7,8,2,10,1,8,4,18,1,8,4,15,4,14,4,15,2,14,11,15,4,14,10,15,2,8,11,10,2,8,1,10,6,8,3,10,10,8,7,10,1,8,13,10,3,8,24,10,13,18,2,4,6,19,7,4,40,19,16,4,9,18,6,4,4,18,2,8,3,10,12,8,4,10,28,8,2,10,11,8,3,10,8,8,2,10,62,8,2,10,25,8,24,18,2,8,2,18,1,19,1,3,9,4,1134,},
{4,1239,19,5,4,17,10,3,8,3,10,3,8,5,10,14,8,12,10,11,8,7,10,3,8,4,10,2,8,12,10,2,8,5,10,3,8,5,10,2,8,20,10,3,8,2,10,2,8,1,18,1,14,1,18,1,8,1,10,19,8,2,10,7,8,7,10,7,8,4,18,1,14,2,15,1,8,4,15,2,14,4,15,1,8,1,15,1,14,13,15,3,14,9,15,2,8,11,10,1,8,3,10,6,8,1,10,12,8,21,10,1,8,8,10,1,8,15,10,15,18,5,4,3,19,8,4,31,19,4,4,3,19,16,4,7,10,7,4,2,18,5,8,3,10,12,8,7,10,6,8,2,10,17,8,1,10,12,8,4,10,2,8,4,10,1,8,3,10,70,8,4,10,14,8,18,15,2,8,3,18,2,8,1,10,3,3,4,19,3,3,3,4,1134,},
{4,1239,19,6,4,1,19,2,4,14,10,2,8,4,10,1,8,6,10,17,8,4,10,2,8,3,10,12,8,1,10,4,8,1,10,3,8,4,10,1,8,8,10,7,8,5,10,3,8,4,10,4,8,16,18,1,8,2,10,3,8,5,18,1,14,2,8,1,10,1,8,5,10,12,8,9,10,4,8,5,10,6,8,3,18,1,14,4,18,1,8,5,15,1,14,1,15,1,8,4,15,1,14,3,15,2,14,8,15,3,14,10,15,1,8,9,10,2,8,2,10,2,8,1,10,18,8,28,10,3,8,13,10,20,18,2,4,3,19,9,4,27,19,7,4,2,19,12,4,8,10,11,18,6,8,4,10,11,8,8,10,5,8,3,10,30,8,15,10,67,8,7,10,12,8,7,10,1,8,10,7,1,8,7,10,3,3,3,19,3,3,3,19,1,4,1134,},
{4,1240,19,16,4,6,18,1,8,1,18,2,8,5,18,2,8,2,10,23,8,3,10,21,8,4,10,1,8,7,10,8,8,4,10,6,8,1,10,5,8,7,10,3,8,6,18,1,8,1,10,4,8,6,14,1,18,1,8,1,10,1,8,6,10,4,8,2,10,5,8,9,10,4,8,6,10,5,8,3,18,1,14,5,18,1,8,12,15,6,14,8,15,2,14,10,15,1,8,9,10,5,8,3,10,6,8,2,10,9,8,28,10,2,8,14,10,4,8,5,10,2,8,1,10,10,4,5,19,7,4,26,19,8,4,3,19,3,4,16,8,2,10,4,8,16,10,13,8,6,10,3,8,4,10,16,8,1,10,14,8,14,10,67,8,7,10,11,8,7,10,5,8,12,10,5,18,1,3,2,19,4,3,2,18,1,4,1080,19,3,4,52,},
{4,1243,19,16,4,3,18,11,8,2,10,23,8,4,10,20,8,4,10,2,8,5,10,9,8,5,10,12,8,1,10,2,8,1,10,5,8,5,18,1,7,1,8,1,10,4,8,4,10,1,8,1,18,2,8,1,10,1,8,13,10,4,8,7,10,5,8,7,10,7,8,2,14,6,8,8,10,1,8,6,15,3,14,13,15,2,14,2,17,1,16,1,3,1,14,2,15,1,8,6,10,6,8,2,10,6,8,4,10,9,8,27,10,2,8,23,10,14,4,5,19,6,4,26,19,8,4,18,10,5,8,1,10,3,8,8,10,2,8,11,10,11,8,11,10,13,8,3,10,16,8,13,10,3,8,2,10,62,8,5,10,10,8,8,10,9,8,9,10,6,18,1,3,2,19,3,3,3,19,1,4,1078,19,5,4,52,},
{4,1246,19,14,4,7,18,7,8,2,10,2,8,2,10,3,8,5,10,11,8,2,10,21,8,4,10,2,8,5,10,3,8,2,10,4,8,5,10,3,8,3,10,15,8,5,18,2,8,1,10,4,8,4,10,2,8,3,10,1,8,13,10,4,8,6,10,4,8,4,10,3,8,2,10,8,8,1,18,1,14,5,8,4,15,2,8,8,15,1,14,4,15,3,14,9,15,2,14,2,16,3,3,1,14,3,15,2,18,1,8,2,10,14,8,5,10,8,8,27,10,3,8,22,10,5,8,2,10,11,4,2,19,5,4,21,19,13,4,5,10,8,18,5,10,9,8,5,10,7,8,9,10,11,8,11,10,14,8,2,10,15,8,1,10,1,8,1,10,2,8,7,10,5,8,3,10,61,8,4,10,11,8,8,10,8,8,5,10,2,8,3,10,5,8,1,18,1,3,1,19,4,3,3,4,1079,19,4,4,53,},
{4,1246,19,15,4,7,18,6,8,3,10,1,8,12,10,33,8,2,10,3,8,4,10,4,8,3,10,4,8,11,10,14,8,2,10,1,8,5,10,3,8,5,10,2,8,17,10,4,8,2,18,1,8,2,10,5,8,4,10,7,8,2,10,5,8,1,18,1,14,4,8,3,14,4,15,1,8,2,15,4,14,5,15,3,14,9,15,2,14,2,16,4,3,1,14,4,18,1,8,3,10,1,8,2,10,11,8,4,10,9,8,26,10,3,8,22,10,4,8,4,10,11,4,1,19,4,4,21,19,13,4,3,10,10,8,10,10,3,8,2,10,14,8,6,10,12,8,5,10,4,8,1,10,15,8,2,10,3,8,3,10,9,8,1,10,4,8,2,10,10,8,3,10,76,8,8,10,6,8,1,10,1,8,4,10,5,8,2,10,4,8,1,18,1,3,1,19,3,3,3,19,1,4,1079,19,4,4,53,},
{4,1250,19,14,4,4,18,8,8,1,10,4,8,10,10,27,8,2,10,9,8,2,10,5,8,3,10,4,8,12,10,13,8,2,10,2,8,3,10,4,8,6,10,1,8,16,10,5,8,2,18,1,8,3,10,4,8,4,10,6,8,3,10,5,8,2,18,1,14,3,8,2,15,1,14,1,3,2,14,2,15,2,14,9,15,2,14,10,15,2,14,3,16,3,3,1,14,4,18,1,8,6,10,1,8,1,18,1,8,1,10,8,8,3,10,10,8,45,18,2,8,4,10,3,8,4,10,11,4,26,19,11,4,5,10,9,8,17,10,7,8,3,10,4,8,3,10,14,8,4,10,12,8,3,10,8,8,7,10,13,8,3,10,9,8,3,10,76,8,8,10,4,8,8,10,5,8,3,10,4,18,1,3,2,19,1,3,4,19,1,4,1079,19,4,4,53,},
{4,1255,19,10,4,3,18,9,10,5,8,11,10,1,8,2,10,6,8,4,10,11,8,3,10,9,8,1,10,6,8,3,10,5,8,12,10,12,8,2,10,8,8,8,10,1,8,11,10,1,8,4,10,3,8,7,10,6,8,2,10,6,8,2,10,6,8,3,15,1,14,2,15,1,8,1,15,1,14,1,3,2,14,25,15,4,14,3,17,1,14,5,8,6,10,2,8,1,10,1,18,1,10,2,8,2,10,4,8,2,10,11,8,20,10,4,8,6,10,2,8,13,18,3,8,10,10,11,4,26,19,8,4,7,10,1,8,10,10,1,8,16,10,6,8,4,10,36,8,3,10,8,8,6,10,14,8,3,10,89,8,7,10,4,8,9,10,4,8,3,10,4,18,1,3,6,19,1,4,1137,},
{4,1258,19,8,4,6,18,7,10,4,8,3,18,1,8,10,10,4,8,6,10,5,8,2,10,2,8,4,10,8,8,3,10,5,8,3,10,3,8,2,10,2,8,4,10,4,8,2,10,12,8,2,10,8,8,8,10,1,8,1,18,2,8,7,10,3,8,14,10,12,8,3,10,3,8,7,14,3,8,2,14,12,15,3,14,13,15,1,8,4,15,1,14,6,15,1,8,1,10,3,8,2,10,2,8,2,10,2,8,2,10,5,8,2,10,12,8,19,10,3,8,7,10,2,8,15,18,1,8,4,10,14,8,2,10,2,4,25,19,6,4,6,10,3,8,11,10,3,8,17,10,5,8,5,10,32,8,3,10,9,8,5,10,14,8,5,10,7,8,1,10,80,8,6,10,5,8,5,10,1,8,4,10,8,8,2,3,7,4,1138,},
{4,1258,19,8,4,22,18,2,8,5,10,1,8,1,10,3,8,7,10,5,8,2,10,1,8,5,10,8,8,3,10,5,8,3,10,3,8,1,10,24,8,3,10,7,8,5,10,1,8,3,10,1,8,2,18,1,8,7,10,2,8,14,10,13,8,3,10,3,8,7,18,1,14,1,15,1,8,2,15,1,14,3,15,2,14,6,8,2,15,1,14,12,15,2,8,6,15,2,14,3,15,1,8,2,10,3,8,1,10,5,8,3,10,20,8,16,10,4,8,32,10,12,8,2,10,3,4,34,10,3,8,12,10,5,8,27,10,22,8,2,10,18,8,6,10,6,8,1,10,7,8,5,10,88,8,6,10,4,8,6,10,2,8,4,10,7,18,2,3,6,19,1,4,1075,19,4,4,59,},
{4,1260,19,6,4,19,19,1,4,3,18,3,8,2,10,5,8,7,10,9,8,4,10,7,8,3,10,7,8,4,10,10,8,2,10,5,8,1,10,8,8,3,10,8,8,5,10,2,8,8,10,1,8,20,10,12,8,18,15,1,14,4,15,1,8,2,15,5,8,1,15,1,14,11,7,1,15,2,8,7,18,2,15,2,14,4,8,1,10,8,8,2,10,29,8,5,10,7,8,37,10,7,8,2,10,4,4,31,10,6,8,43,10,21,8,4,10,17,8,6,10,5,8,5,10,3,8,7,10,78,8,1,10,8,8,16,10,2,8,4,10,5,4,2,18,1,3,3,19,1,3,3,19,1,4,1074,19,5,4,59,},
{4,1263,19,1,4,20,19,4,4,2,18,3,8,1,10,5,8,6,10,20,8,3,10,9,8,2,10,11,8,2,10,5,8,1,10,8,8,2,10,9,8,4,10,5,8,5,10,3,8,18,10,12,8,8,10,2,8,9,14,4,15,1,8,7,15,2,14,5,15,2,7,1,14,3,7,2,8,11,18,2,14,2,3,2,18,1,8,1,10,7,8,2,10,30,8,4,10,6,8,44,10,2,8,2,10,5,9,1,10,1,18,5,10,2,9,4,10,19,8,19,10,6,8,21,10,21,8,4,10,2,8,1,10,7,8,2,10,4,8,7,10,4,8,16,10,78,8,2,10,7,8,3,10,2,8,11,10,2,8,4,10,4,4,3,19,1,3,2,19,4,3,1,19,1,4,1074,19,6,4,58,},
{4,1284,19,5,4,3,10,1,8,3,10,29,8,2,10,11,8,1,10,7,8,1,10,3,8,2,10,4,8,2,10,3,8,1,10,24,8,5,10,3,8,6,10,2,8,10,10,11,8,7,10,4,8,8,15,1,14,4,7,1,8,4,15,2,14,13,7,1,15,1,8,4,15,1,18,1,8,6,18,1,14,3,3,2,14,1,8,1,10,8,8,1,10,4,8,2,10,4,8,4,10,8,8,4,10,4,8,5,10,5,8,14,18,3,8,30,10,37,8,18,10,8,8,21,10,19,8,10,10,4,8,15,10,4,8,16,10,12,8,3,10,62,8,3,10,7,8,2,10,3,8,15,10,6,4,3,19,7,3,1,19,1,4,1074,19,6,4,58,},
{4,1284,19,6,4,2,10,1,8,6,10,13,8,2,10,8,8,2,10,23,8,1,10,2,8,2,10,4,8,2,10,2,8,2,10,13,8,1,10,10,8,6,10,2,8,6,10,5,8,7,10,9,8,9,10,4,8,7,15,1,14,4,7,2,8,3,15,1,14,14,7,1,15,2,8,2,15,5,8,4,18,1,15,1,14,4,3,1,14,1,18,1,8,1,10,12,8,1,10,6,8,4,10,8,8,6,10,1,8,5,10,5,8,14,18,1,7,1,18,2,8,29,10,7,8,1,18,5,8,1,10,8,8,1,10,14,8,15,10,11,8,21,10,18,8,4,10,3,8,5,10,2,8,17,10,2,8,18,10,11,8,3,10,38,8,1,10,24,8,3,10,5,8,20,10,7,4,3,19,8,4,1075,19,6,4,58,},
{4,1284,19,6,4,2,10,1,18,3,8,4,10,22,8,2,10,23,8,4,10,5,8,2,10,18,8,1,10,7,8,8,10,2,8,5,10,11,8,3,10,7,8,3,18,2,8,7,10,1,8,5,10,1,8,2,14,6,15,4,14,11,7,4,15,1,8,3,15,2,14,3,15,1,18,1,8,3,18,1,15,1,14,4,3,1,14,1,18,1,8,1,10,15,8,2,10,5,8,3,10,6,8,13,10,3,8,15,18,1,14,1,18,3,8,29,10,6,8,1,18,6,8,2,10,2,8,1,10,1,8,5,10,12,8,15,10,11,8,21,10,11,8,1,10,6,8,3,10,4,8,5,10,3,8,37,10,76,8,26,10,9,4,3,19,8,4,1075,19,6,4,58,},
{4,1285,19,5,4,3,18,4,8,3,10,7,8,4,10,36,8,4,10,5,8,1,10,7,8,1,10,5,8,1,10,4,8,3,10,4,8,17,10,11,8,4,10,5,8,3,18,2,8,14,10,1,8,2,15,2,14,3,15,4,14,10,15,3,8,1,15,1,8,5,15,1,14,5,15,1,8,3,18,1,15,1,14,6,18,1,8,1,10,14,8,5,10,3,8,3,10,7,8,6,10,1,8,22,18,3,7,1,18,3,8,30,10,5,8,1,18,6,8,11,10,3,8,3,10,5,8,15,10,11,8,21,10,6,8,6,10,5,8,4,10,4,8,2,10,3,8,8,18,3,8,31,10,1,8,1,10,75,8,23,10,2,8,3,10,4,4,3,19,8,4,1078,19,2,4,59,},
{4,1295,18,2,10,1,8,2,10,7,8,4,10,38,8,3,10,12,8,2,10,4,8,2,10,3,8,3,10,4,8,16,10,4,8,3,10,5,8,5,10,1,8,23,10,1,8,8,15,2,14,7,7,1,15,2,8,10,15,1,14,3,3,1,14,1,15,1,8,1,10,1,8,2,15,1,14,2,18,1,14,3,15,1,8,1,10,2,8,1,10,8,8,8,10,3,8,3,10,9,8,4,10,2,8,22,18,3,7,1,18,3,8,30,10,5,8,1,18,5,8,11,10,1,8,5,10,6,8,14,10,11,8,21,10,6,8,6,10,5,8,4,10,4,8,2,10,2,8,9,18,3,8,33,10,75,8,23,10,2,8,3,10,5,4,2,19,8,4,1139,},
{4,1290,19,3,4,4,18,1,8,3,10,5,8,5,10,6,8,2,10,31,8,2,10,12,8,2,10,3,8,3,10,3,8,3,10,4,8,15,10,4,8,4,10,5,8,14,10,4,8,11,10,3,8,6,15,1,14,5,15,5,8,11,15,1,14,2,17,1,3,1,14,1,15,1,8,1,10,2,8,1,15,3,18,2,14,3,8,1,10,5,8,1,10,6,8,4,10,5,8,2,10,11,8,4,10,2,8,23,18,2,7,1,14,1,7,2,18,1,8,31,10,5,8,2,18,1,8,12,10,3,8,5,10,3,8,20,10,6,8,21,10,6,8,7,10,4,8,4,10,4,8,2,10,2,8,9,18,3,8,33,10,76,8,3,10,1,8,23,10,4,18,3,19,1,4,2,19,5,4,1139,},
{4,1290,19,6,4,2,18,2,8,2,10,4,8,4,10,6,8,3,10,31,8,2,10,12,8,2,10,3,8,3,10,2,8,3,10,5,8,8,18,1,8,6,10,4,8,5,10,3,8,7,18,3,8,2,10,7,8,11,10,4,8,5,15,1,14,5,15,5,8,8,10,2,8,2,14,2,16,1,17,1,14,1,15,1,8,1,10,2,8,1,15,3,18,1,15,1,14,3,18,1,10,4,8,4,10,11,8,3,10,13,8,3,10,2,8,24,18,1,14,4,18,2,8,32,10,5,8,12,10,5,8,18,10,1,8,9,10,6,8,20,10,5,8,8,10,4,8,5,10,3,8,2,10,1,8,10,18,3,8,28,10,9,8,5,10,72,8,2,10,4,8,14,10,6,18,2,3,1,19,1,4,2,19,4,4,1140,},
{4,1290,19,6,4,2,18,3,8,2,10,3,8,4,10,5,8,4,10,31,8,2,10,12,8,2,10,3,8,3,10,2,8,3,10,5,8,15,10,3,8,6,10,2,8,8,18,3,8,2,10,7,8,13,10,2,8,4,15,1,14,6,15,6,8,7,10,2,8,2,14,1,17,1,16,2,14,1,15,1,8,1,10,1,8,6,18,1,14,3,18,1,8,1,10,3,8,1,18,1,8,3,10,10,8,2,10,14,8,3,10,2,8,25,18,1,14,4,18,1,8,28,18,3,8,2,10,4,8,12,10,5,8,18,10,1,8,11,10,6,8,19,10,4,8,62,10,7,8,10,10,77,8,13,10,6,18,2,3,2,19,1,4,2,19,4,4,1140,},
{4,1290,19,6,4,3,18,2,8,2,10,5,8,2,10,3,8,4,10,33,8,2,10,4,8,1,10,7,8,2,10,3,8,3,10,2,8,3,10,5,8,11,10,1,8,4,10,3,8,5,10,3,8,4,18,5,8,2,10,7,8,20,15,1,14,7,15,1,8,5,15,2,8,7,15,1,14,1,17,1,16,2,14,2,8,9,18,2,14,2,18,1,8,3,18,2,8,2,10,4,8,1,10,22,8,1,10,3,8,26,18,2,14,2,18,2,8,34,10,2,8,14,10,4,8,30,10,6,8,20,10,2,8,22,10,2,8,56,10,71,8,2,10,4,8,14,10,5,18,2,3,2,19,7,4,1140,},
{4,1290,19,6,4,4,18,2,8,3,10,3,8,7,10,35,8,2,10,12,8,8,10,2,8,2,10,5,8,11,10,2,8,6,10,1,8,5,10,4,8,1,18,5,8,3,10,6,8,11,18,1,8,10,15,1,14,7,15,1,8,4,15,4,8,6,15,1,14,1,16,3,14,2,15,1,8,5,10,3,8,1,18,1,14,2,18,1,8,3,18,2,8,2,10,4,8,1,10,3,8,4,10,20,8,26,18,4,8,51,10,3,8,6,10,2,8,25,10,4,8,43,10,4,8,53,10,38,8,2,10,33,8,3,10,3,8,8,10,1,8,1,10,1,8,4,10,5,18,2,3,1,18,1,19,6,4,1140,},
{4,1290,19,6,4,5,18,2,8,2,10,3,8,7,10,34,8,2,10,14,8,7,10,9,8,11,10,2,8,5,10,2,8,5,10,4,8,1,18,4,8,3,10,6,8,12,18,2,8,11,15,7,8,3,15,2,8,8,15,1,14,2,16,3,17,1,14,1,7,1,15,1,8,4,10,4,8,1,18,1,14,1,18,5,8,2,10,9,8,4,10,3,8,3,10,15,8,88,10,4,8,6,10,3,8,15,10,4,8,30,10,1,8,12,10,5,8,5,10,5,8,35,10,33,8,1,10,12,8,1,10,33,8,3,10,3,8,5,10,7,8,4,10,4,18,5,19,4,4,1141,},
{4,1291,19,1,4,1,19,5,4,4,18,3,8,1,10,2,8,6,10,28,8,1,10,6,8,2,10,8,8,1,10,5,8,5,10,11,8,10,10,2,8,12,10,4,8,2,18,3,8,4,10,6,8,10,18,4,8,16,15,2,8,2,15,3,8,8,15,1,14,1,17,1,16,3,17,1,14,3,7,1,15,1,8,2,10,4,8,1,18,1,14,1,18,5,8,2,10,3,8,1,10,4,8,4,10,22,8,5,10,3,8,52,10,3,8,24,10,5,8,5,10,4,8,49,10,4,8,9,10,6,8,4,10,6,8,33,10,43,8,1,10,37,8,2,10,6,8,2,10,8,8,3,10,4,18,5,3,1,19,4,4,1141,},
{4,1294,19,5,4,3,18,3,10,4,8,6,10,27,8,2,10,4,8,3,10,7,8,3,10,5,8,2,10,4,8,3,10,6,8,9,10,2,8,4,10,4,8,5,10,3,8,6,10,2,8,4,10,8,8,6,18,3,8,17,15,3,14,3,15,1,8,5,10,1,8,2,7,1,14,1,17,1,16,2,17,1,14,6,8,8,18,6,8,2,10,3,8,2,10,2,8,3,10,25,8,4,10,4,8,52,10,2,8,24,10,5,8,5,10,4,8,5,10,6,8,40,10,2,8,11,10,4,8,5,10,4,8,19,10,1,8,10,10,19,8,1,10,23,8,5,10,36,8,1,10,18,8,2,10,4,8,1,18,6,19,4,4,11,19,1,4,1129,},
{4,1294,19,6,4,5,18,1,8,7,10,25,8,1,10,3,8,2,10,5,8,1,10,9,8,4,10,10,8,1,10,5,8,10,10,3,8,5,10,2,8,6,10,3,8,4,10,3,8,6,10,7,8,7,18,2,8,8,15,2,8,8,15,1,14,5,8,3,10,1,8,3,15,1,14,3,17,6,14,2,15,1,8,9,18,5,8,2,10,7,8,3,10,7,8,3,10,16,8,3,10,3,8,80,10,4,8,5,10,4,8,7,10,3,8,55,10,1,8,7,10,4,8,28,10,46,8,3,10,56,8,3,10,3,8,1,18,6,19,3,4,12,19,1,4,1129,},
{4,1295,19,8,4,3,18,5,8,2,10,13,8,1,10,4,8,3,10,25,8,2,18,1,8,3,10,13,8,10,10,4,8,9,10,4,8,6,10,2,8,3,18,1,8,3,10,5,8,21,15,1,8,8,15,1,14,5,8,2,10,2,8,2,14,7,17,1,16,3,14,1,7,1,8,3,15,1,14,2,15,1,8,1,10,2,18,5,8,1,10,8,8,2,10,15,8,2,10,9,8,3,10,4,8,89,10,3,8,62,10,3,8,10,10,3,8,3,10,2,8,19,10,15,8,7,10,77,8,1,10,9,8,7,18,6,4,1145,},
{4,1297,19,7,4,2,18,5,8,2,10,19,8,1,10,27,8,1,18,1,8,3,10,5,8,1,10,6,8,2,18,1,8,8,10,4,8,9,10,4,8,5,10,2,8,3,18,2,8,3,10,5,8,31,14,5,8,2,10,1,8,2,14,4,15,1,7,3,17,1,16,3,14,1,8,4,14,3,15,1,8,1,10,2,18,3,8,1,18,1,8,1,10,42,8,89,10,3,8,18,10,6,8,20,10,2,8,17,10,3,8,15,10,3,8,8,10,1,8,9,10,15,8,8,10,63,8,1,10,13,8,1,10,9,8,7,18,5,4,1146,},
{4,1298,19,6,4,2,18,5,8,4,10,27,8,2,10,16,8,2,10,14,8,6,10,1,8,5,10,3,8,11,10,3,8,4,10,3,8,8,10,7,8,19,15,2,8,8,15,1,14,4,15,1,8,3,15,1,14,4,15,1,7,2,14,1,17,1,16,2,17,1,14,1,8,3,15,1,14,2,8,2,10,2,8,1,18,3,8,2,10,2,8,2,10,3,8,2,10,33,8,45,10,1,8,43,10,5,8,17,10,9,8,35,10,4,8,15,10,3,8,8,10,1,8,12,10,13,8,7,10,63,8,1,10,23,8,3,10,7,4,1086,19,3,4,59,},
{4,1298,19,7,4,4,18,3,8,4,10,26,8,2,10,31,8,6,10,3,8,19,10,3,8,2,10,3,8,10,10,7,8,13,10,1,8,12,10,1,8,2,14,4,15,1,8,3,14,5,15,1,8,1,7,1,14,1,16,3,14,1,7,1,8,2,15,4,8,1,10,3,8,1,18,2,8,3,10,7,8,2,10,6,8,2,10,25,8,15,10,2,8,27,10,2,8,44,10,5,8,4,10,4,8,7,10,12,8,12,10,3,8,17,10,6,8,12,10,4,8,24,10,5,8,2,10,9,8,2,10,80,8,2,10,5,8,2,10,5,8,2,10,1,4,1085,19,5,4,58,},
{4,1299,19,8,4,4,18,4,8,2,10,6,8,2,10,17,8,2,10,33,8,2,10,5,8,14,18,2,8,3,10,8,8,11,10,7,8,12,10,1,8,12,10,1,8,2,15,5,8,2,15,1,14,5,8,3,7,1,17,1,16,2,14,1,7,1,8,1,15,4,8,3,10,3,8,5,10,14,8,4,10,27,8,12,10,2,8,27,10,2,8,44,10,6,8,1,10,8,8,5,10,12,8,11,10,5,8,3,10,2,8,7,10,10,8,1,10,2,8,8,10,4,8,26,10,3,8,3,10,13,8,2,10,59,8,2,10,15,8,2,10,5,8,2,10,5,8,2,10,1,4,1068,19,7,4,10,19,7,4,56,},
{4,1300,19,8,4,4,18,4,8,1,10,5,8,4,10,58,8,19,10,7,8,2,18,2,8,7,10,8,8,12,10,2,8,14,15,3,8,5,15,1,14,3,15,2,8,2,7,1,17,1,16,2,14,1,7,1,8,1,15,4,8,4,10,2,8,5,10,17,8,1,10,30,8,85,10,31,8,11,10,5,8,2,10,4,8,5,10,17,8,7,10,2,8,33,10,12,8,2,10,68,8,2,10,6,8,3,10,3,8,3,10,6,8,1,10,1,4,1068,19,8,4,8,19,8,4,56,},
{4,1302,19,6,4,5,18,5,10,4,8,4,10,2,8,2,10,53,8,2,18,1,8,3,10,2,8,12,10,7,8,2,18,3,8,5,10,11,8,10,10,2,8,11,15,3,8,10,15,4,7,1,8,1,7,1,17,1,16,1,17,1,14,1,7,1,8,2,15,5,14,1,18,1,10,3,8,4,10,14,8,4,10,30,8,86,10,27,8,1,10,1,8,13,10,3,8,3,10,3,8,5,10,18,8,42,10,12,8,2,10,68,8,2,10,6,8,3,10,3,8,7,10,4,4,1067,19,9,4,7,19,9,4,56,},
{4,1302,19,5,4,4,19,1,4,8,10,1,8,9,10,12,8,1,10,40,8,1,18,2,8,2,10,4,8,12,10,4,8,5,18,2,8,4,10,5,8,3,10,7,8,7,10,2,8,9,15,1,14,4,15,1,8,11,15,1,14,2,7,2,14,1,17,1,14,2,7,1,8,3,15,2,14,3,8,1,10,3,8,4,10,48,8,86,10,4,8,1,10,22,8,21,10,3,8,5,10,11,8,2,10,5,8,42,10,92,8,10,18,2,10,4,4,1064,19,10,4,3,10,2,4,3,19,9,4,56,},
{4,1310,19,5,4,5,18,1,8,4,10,3,8,1,10,13,8,1,10,40,8,5,10,4,8,26,10,5,8,5,10,6,8,7,10,1,8,10,15,1,14,4,15,2,8,10,15,1,14,3,7,1,14,3,7,2,8,4,15,1,14,1,15,1,8,2,10,3,8,3,10,43,8,2,10,3,8,34,10,1,8,52,10,3,8,2,10,22,8,9,10,4,8,17,10,11,8,2,10,4,8,9,10,1,8,3,10,7,8,21,10,94,8,6,10,1,8,2,18,3,10,2,4,28,19,1,4,1035,19,5,4,8,10,2,8,1,4,2,19,10,4,56,},
{4,1310,19,6,4,4,18,3,8,1,10,12,8,4,10,44,8,2,10,6,8,3,10,4,8,9,18,1,8,8,10,5,8,7,10,4,8,7,10,2,8,11,15,1,14,4,15,1,8,10,14,5,7,5,8,4,15,2,8,2,10,3,8,5,10,1,8,1,10,8,8,1,10,13,8,2,10,11,8,1,10,4,8,3,10,2,8,88,10,2,8,3,10,21,8,7,10,7,8,6,10,1,8,6,10,13,8,3,10,4,8,9,10,11,8,18,10,97,8,6,10,2,8,1,18,3,10,2,4,1064,19,5,4,2,10,7,8,2,18,1,4,2,19,6,4,59,},
{4,1310,19,8,4,3,18,2,8,1,10,5,8,2,10,6,8,4,10,31,8,1,10,15,8,7,10,12,8,1,18,2,8,2,10,3,8,2,10,4,8,17,10,3,8,13,15,2,14,1,15,1,8,11,15,1,14,3,7,4,14,2,7,1,8,6,10,4,8,5,10,1,8,2,10,7,8,2,10,12,8,2,10,10,8,3,10,3,8,3,10,2,8,13,10,4,8,70,10,3,8,3,10,21,8,2,10,12,8,5,10,3,8,2,10,15,8,4,10,4,8,9,10,9,8,19,10,70,8,3,10,25,8,5,10,3,8,1,18,3,10,2,4,1064,19,5,4,2,10,3,8,2,10,2,8,1,18,3,4,1,19,5,4,60,},
{4,1311,19,8,4,3,18,1,8,1,10,4,8,5,10,5,8,1,18,1,8,2,10,24,8,1,10,4,8,3,10,2,8,1,10,11,8,5,10,14,8,4,10,10,8,17,10,3,8,15,15,2,8,11,15,1,14,2,7,1,8,2,7,1,14,4,15,1,8,5,10,3,8,3,18,1,8,2,10,1,8,3,10,6,8,2,10,25,8,1,10,12,8,9,10,5,8,65,10,8,8,2,10,36,8,4,10,22,8,4,10,6,8,8,10,6,8,20,10,9,8,4,10,86,8,4,10,3,8,2,18,2,10,1,4,1065,19,5,4,1,10,3,8,3,10,2,8,1,18,3,4,2,19,4,4,60,},
{4,1316,19,4,4,2,18,1,8,2,10,3,8,1,18,1,8,3,10,5,8,1,18,3,10,25,8,1,10,4,8,2,10,2,8,1,10,11,8,4,10,16,8,3,10,3,8,24,10,3,8,29,15,1,8,4,7,1,14,1,17,2,14,2,15,1,8,4,10,2,8,4,18,1,8,1,10,2,8,3,10,6,8,3,10,40,8,6,10,5,8,63,10,9,8,3,10,63,8,2,10,13,8,2,10,5,8,21,10,9,8,4,10,27,8,1,10,37,8,3,10,18,8,5,10,2,8,3,10,2,4,1065,19,2,4,4,10,3,8,3,10,2,8,2,18,2,4,2,19,3,4,61,},
{4,1316,19,5,4,2,18,2,8,3,18,1,7,1,8,2,10,6,8,1,18,3,10,34,8,1,10,7,18,1,10,4,8,1,10,6,8,2,10,10,8,21,10,3,8,6,10,3,8,19,10,1,8,14,14,2,17,1,16,1,17,1,14,2,15,1,8,9,18,1,8,1,10,2,8,1,18,1,8,1,10,50,8,6,10,3,8,64,10,8,8,2,10,66,8,1,10,21,8,10,10,3,8,7,10,9,8,5,10,25,8,2,10,37,8,5,10,4,8,2,10,13,8,2,10,2,8,2,10,3,4,1069,10,2,8,10,18,2,4,2,19,3,4,61,},
{4,1316,19,5,4,2,18,3,8,2,18,1,8,2,10,6,8,3,10,1,18,2,10,32,8,3,10,18,8,3,10,7,8,2,10,3,8,17,10,5,8,6,10,2,8,18,10,3,8,3,15,3,8,6,7,1,14,2,17,3,16,1,14,2,8,2,10,2,8,7,10,2,8,1,18,1,8,1,10,2,8,1,10,32,8,2,10,12,8,74,10,7,8,3,10,90,8,3,10,8,8,7,10,9,8,5,10,25,8,3,10,36,8,5,10,3,8,4,10,21,4,1067,18,3,8,12,18,1,4,1,19,4,4,61,},
{4,1316,19,5,4,6,18,4,10,4,8,5,10,2,8,1,10,20,8,3,10,10,8,1,10,20,8,2,10,5,8,4,10,2,8,3,18,1,8,15,10,4,8,27,10,1,8,4,15,2,8,7,7,1,14,4,16,2,17,1,14,1,15,1,8,10,10,2,8,3,10,2,8,1,10,32,8,2,10,12,8,45,10,1,8,6,10,2,8,21,10,7,8,2,10,11,8,2,10,11,8,3,10,75,8,6,10,10,8,4,10,24,8,4,10,36,8,5,10,3,8,4,10,21,4,1066,18,5,7,2,8,9,18,1,4,1,19,5,4,60,},
{4,1333,18,2,8,6,10,1,8,1,10,6,8,1,10,14,8,3,10,16,8,3,10,3,8,3,10,9,8,6,10,3,8,1,18,2,8,7,10,1,8,10,10,2,8,8,10,1,8,27,10,3,8,1,15,1,14,2,15,1,14,2,17,2,14,3,15,1,8,9,10,2,8,2,10,3,8,1,10,47,8,44,10,4,8,2,10,5,8,11,10,4,8,5,10,19,8,2,10,4,8,2,10,5,8,3,10,10,8,2,10,8,8,4,10,51,8,5,10,38,8,5,10,37,8,3,10,29,4,1065,18,2,8,2,18,1,7,3,8,9,18,1,4,1,19,5,4,60,},
{4,1327,19,1,4,6,18,4,8,5,10,4,8,2,10,7,8,1,10,8,8,1,10,17,8,2,10,4,8,3,10,8,8,6,10,4,8,1,18,2,8,1,10,8,8,19,10,4,8,23,10,4,8,1,15,1,14,2,15,2,14,1,17,1,14,4,15,3,8,1,18,1,8,4,10,8,8,1,10,5,8,1,10,48,8,28,10,2,8,6,10,13,8,8,10,1,8,1,10,6,8,2,10,27,8,2,10,4,8,3,10,11,8,1,10,8,8,4,10,6,8,2,10,44,8,3,10,16,8,2,10,1,8,1,10,19,8,4,10,38,8,2,10,30,4,1065,10,4,8,1,7,3,8,1,10,1,8,7,18,1,4,1,19,5,4,60,},
{4,1326,19,5,4,4,18,4,8,4,10,3,8,1,10,13,8,1,10,22,8,1,10,6,8,1,10,8,8,6,10,5,8,1,18,2,8,1,10,8,8,1,18,1,8,16,10,4,8,10,18,1,15,1,8,12,10,4,8,1,15,1,14,4,17,1,16,1,3,1,14,2,15,6,18,1,8,3,10,12,8,4,10,48,8,7,10,3,8,4,10,2,8,11,10,3,8,5,10,13,8,10,10,18,8,2,10,15,8,2,10,6,8,1,10,68,8,1,10,7,8,3,10,12,8,4,10,65,8,2,10,23,8,3,10,5,4,1060,19,2,4,3,18,1,4,1,10,1,8,1,7,3,8,1,10,3,8,5,18,1,4,2,19,4,4,60,},
{4,1326,19,6,4,7,18,1,8,3,10,1,8,3,10,12,8,3,10,37,8,5,10,6,8,3,10,9,8,1,18,2,8,3,10,2,8,6,10,8,8,6,10,2,8,2,15,2,8,13,10,4,15,1,14,4,17,1,16,1,14,2,15,7,18,1,8,4,10,10,8,5,10,49,8,3,10,7,8,2,10,5,8,8,10,6,8,4,10,15,8,5,10,20,8,2,10,15,8,2,10,97,8,8,10,87,8,5,10,4,4,1050,19,1,4,8,19,2,4,6,18,1,14,2,7,1,8,1,10,4,8,4,18,1,4,2,19,4,4,60,},
{4,1326,19,6,4,8,18,4,10,6,8,2,10,8,8,2,10,28,8,1,10,8,8,4,10,7,8,2,10,10,8,2,18,1,8,2,10,4,8,2,10,12,8,5,10,2,8,2,18,2,8,10,15,1,8,2,10,4,8,1,14,5,3,1,14,2,15,1,8,2,15,4,18,1,8,6,10,11,8,2,10,48,8,3,10,16,8,6,10,7,8,6,10,38,8,1,10,4,8,3,10,8,8,4,10,41,8,1,10,50,8,11,10,89,8,2,18,3,10,1,4,1,10,1,4,7,19,1,4,1042,19,10,4,7,18,1,3,1,14,1,7,1,8,1,10,4,8,4,18,1,4,66,},
{4,1328,19,4,4,9,18,4,10,15,8,1,10,26,8,2,10,9,8,3,10,21,8,4,10,20,8,4,10,2,8,13,15,1,14,2,18,1,8,1,10,2,8,2,14,2,15,1,14,5,15,1,8,9,18,1,15,1,18,1,8,3,10,10,8,2,10,47,8,4,10,15,8,6,10,7,8,8,10,22,8,1,10,18,8,4,10,3,8,1,10,1,8,5,10,61,8,1,10,30,8,16,10,16,8,2,10,68,8,1,18,4,4,1051,19,10,4,7,18,1,3,2,14,1,8,2,10,3,8,5,18,1,4,66,},
{4,1350,10,31,8,2,10,3,8,3,10,8,8,3,10,49,8,1,10,2,8,12,15,1,14,4,8,1,10,2,8,2,15,2,8,2,15,1,14,3,15,3,8,7,15,1,14,3,18,1,8,2,10,9,8,4,10,44,8,6,10,14,8,6,10,6,8,11,10,20,8,3,10,16,8,4,10,2,8,7,10,3,8,4,10,86,8,18,10,14,8,3,10,3,8,3,10,61,8,1,18,5,4,1050,19,10,4,7,18,1,3,2,14,1,8,2,10,2,8,6,18,1,4,66,},
{4,1350,18,3,10,7,8,1,10,20,8,2,10,3,8,3,10,7,8,4,10,54,8,10,18,1,14,4,8,2,10,1,8,5,10,1,8,1,15,1,14,3,15,2,8,7,14,5,8,2,10,10,8,3,10,43,8,7,10,8,8,1,10,5,8,6,10,6,8,12,10,20,8,1,10,13,8,2,10,2,8,4,10,2,8,6,10,4,8,4,10,85,8,22,10,11,8,3,10,2,8,5,10,59,8,2,18,5,4,1046,19,14,4,7,18,1,3,2,7,1,8,8,10,1,8,1,18,1,4,66,},
{4,1354,18,1,10,4,8,4,10,13,8,2,10,8,8,1,10,3,18,2,10,4,8,4,10,16,8,1,10,39,8,2,18,3,8,4,18,1,14,2,18,1,8,1,10,2,8,4,10,2,8,2,15,1,14,3,15,1,8,5,10,1,8,1,15,1,14,4,8,3,10,56,8,6,10,6,8,4,10,5,8,5,10,5,8,7,10,3,8,3,10,16,8,2,10,14,8,4,10,2,8,3,10,3,8,5,10,5,8,4,10,84,8,9,10,1,8,18,10,5,8,4,10,3,8,4,10,4,8,2,10,48,8,3,10,1,8,4,18,3,4,1030,19,5,4,11,19,15,4,7,18,1,3,2,18,1,8,7,10,2,8,1,10,1,4,66,},
{4,1355,10,4,18,4,8,1,10,9,8,6,10,10,8,1,18,2,10,15,8,1,10,48,8,1,18,3,8,7,18,1,8,7,10,4,8,2,15,4,18,1,8,3,10,2,8,1,18,1,14,4,15,1,18,1,8,1,10,58,8,2,10,8,8,4,10,5,8,4,10,7,8,4,10,15,8,3,10,7,8,1,10,15,8,4,10,7,8,3,10,8,8,1,10,8,8,2,10,75,8,37,10,5,8,2,10,5,8,2,10,21,8,2,10,7,8,1,10,17,8,4,10,1,8,3,18,3,10,2,4,1027,19,6,4,8,19,18,4,8,18,1,3,1,18,1,8,7,10,2,8,1,10,1,4,66,},
{4,1360,18,3,8,2,10,1,8,1,10,7,8,2,18,2,10,6,8,1,10,4,8,3,10,16,8,1,10,47,8,7,10,2,8,10,10,2,8,7,18,1,8,4,10,3,8,1,14,5,15,1,8,2,10,65,8,6,10,4,8,5,10,8,8,2,10,15,8,5,10,23,8,3,10,4,8,5,10,19,8,1,10,76,8,35,10,35,8,2,10,8,8,1,10,18,8,1,10,5,8,2,18,2,10,3,4,1026,19,6,4,8,19,16,4,11,18,1,14,1,7,2,8,5,10,2,8,2,4,66,},
{4,1361,18,2,8,2,10,1,8,3,10,6,8,3,10,5,8,1,18,3,8,2,10,19,8,2,10,46,8,5,10,4,8,24,10,3,8,1,14,6,8,2,10,64,8,6,10,5,8,4,10,25,8,6,10,8,8,4,10,14,8,8,10,97,8,19,10,1,8,14,10,17,8,1,10,15,8,2,10,1,8,1,10,41,4,1017,19,7,4,2,19,5,4,9,19,16,4,11,18,1,3,1,6,1,7,1,8,8,10,1,4,2,19,4,4,60,},
{4,1362,10,5,8,2,10,7,8,1,10,5,8,2,18,3,8,2,10,12,8,1,10,7,8,1,10,55,8,17,10,2,8,5,10,3,8,1,14,6,15,1,8,1,10,62,8,3,10,1,8,4,10,5,8,3,10,27,8,3,10,11,8,2,10,12,8,1,10,2,8,5,18,1,8,2,10,15,8,1,10,7,8,6,10,70,8,16,10,3,8,13,10,17,8,2,10,13,8,3,10,41,4,1018,19,8,4,13,19,9,4,20,18,2,3,1,17,1,7,1,8,8,10,1,4,1,19,5,4,60,},
{4,1363,10,19,8,2,18,3,8,2,10,10,8,4,10,61,8,2,18,3,8,5,10,1,8,1,18,2,8,3,10,3,8,6,10,2,8,1,15,1,14,6,15,1,8,1,10,23,8,3,10,40,8,2,10,4,8,5,10,37,8,1,10,17,8,2,10,1,8,5,18,1,8,1,10,16,8,1,10,9,8,7,10,70,8,14,10,1,8,14,10,16,8,4,10,12,8,3,10,41,4,1018,19,8,4,12,19,8,4,21,10,1,18,1,3,2,17,1,7,1,8,7,10,1,4,2,19,5,4,60,},
{4,1367,18,3,8,2,10,9,8,4,18,2,8,6,10,5,8,5,10,60,8,2,18,4,8,5,10,1,8,1,18,1,14,1,18,1,8,2,10,3,8,4,18,1,8,1,10,3,8,1,14,7,15,1,8,2,10,20,8,5,10,39,8,2,10,4,8,5,10,10,8,3,10,23,8,2,10,15,8,1,10,1,8,2,10,4,8,2,18,1,8,1,10,2,8,3,10,24,8,6,10,69,8,32,10,12,8,5,10,5,8,9,10,40,4,1017,19,9,4,5,10,2,4,6,19,4,4,24,10,1,18,1,3,2,17,1,7,1,8,7,10,2,4,2,19,5,4,60,},
{4,1363,19,1,4,5,18,2,8,17,18,3,8,2,10,4,8,7,10,46,8,3,10,9,8,2,18,3,8,2,10,2,8,5,18,2,8,4,10,2,8,4,18,1,8,1,10,3,8,2,15,1,14,6,15,1,8,8,10,12,8,6,10,28,8,1,10,11,8,1,10,3,8,4,10,11,8,4,10,23,8,2,10,14,8,3,10,7,8,3,10,3,8,2,10,5,8,2,10,17,8,6,10,69,8,32,10,9,8,13,10,5,8,4,10,35,8,2,18,1,10,2,4,1016,19,7,4,6,18,2,8,1,10,1,4,6,19,4,4,24,18,2,3,3,14,1,8,3,18,2,4,8,19,2,4,61,},
{4,1362,19,5,4,2,18,7,8,6,18,1,8,2,10,2,8,6,10,1,8,11,10,13,8,3,10,28,8,4,10,6,8,4,18,3,8,1,10,4,8,1,18,2,8,17,10,3,8,2,15,1,14,5,8,2,18,1,15,1,14,2,18,3,8,4,10,6,8,1,10,1,8,6,10,28,8,1,10,12,8,5,10,66,8,3,10,8,8,4,10,2,8,3,10,12,8,1,10,73,8,4,10,3,8,25,10,9,8,13,10,8,8,1,10,35,8,1,18,4,10,1,4,1016,19,4,4,7,10,2,8,1,18,3,4,4,19,6,4,23,18,2,3,4,18,2,4,3,19,3,4,69,},
{4,1362,19,5,4,3,18,6,8,9,10,3,8,17,10,12,8,4,10,19,8,1,10,8,8,4,10,6,8,4,18,3,8,1,10,4,8,1,18,3,8,1,10,2,8,13,10,4,8,2,14,4,15,1,8,2,18,1,14,2,3,2,14,4,18,1,8,2,10,7,8,5,10,13,8,1,10,28,8,4,10,24,8,2,10,41,8,4,10,7,8,4,10,2,8,4,10,4,8,8,10,72,8,4,10,5,8,19,10,1,8,3,10,4,8,6,10,1,8,12,10,43,8,2,18,4,4,1016,19,4,4,3,18,2,10,5,8,1,18,3,4,3,19,7,4,23,18,7,4,3,19,5,4,68,},
{4,1362,19,6,4,7,18,2,8,7,10,4,8,5,10,1,8,4,10,3,8,3,10,14,8,2,10,27,8,6,10,6,8,4,18,3,10,5,8,5,10,2,8,12,10,5,8,2,15,1,14,3,15,1,8,3,14,2,3,3,14,3,18,1,8,1,10,3,8,5,10,1,8,3,10,14,8,1,10,29,8,2,10,26,8,4,10,39,8,4,10,13,8,3,10,3,8,10,10,72,8,4,10,3,8,6,10,2,8,11,10,3,8,2,10,5,8,5,10,2,8,6,10,1,8,3,10,43,8,3,18,4,4,972,19,4,4,40,19,3,4,3,18,2,10,5,8,1,18,2,4,4,19,8,4,20,10,1,18,2,4,1,18,5,4,3,19,6,4,68,},
{4,1362,19,6,4,9,10,1,8,6,10,4,8,5,10,9,8,2,10,13,8,3,10,9,8,2,10,16,8,5,10,9,8,5,10,4,8,6,10,2,8,8,10,10,8,1,15,1,14,3,15,1,8,3,14,2,3,4,14,3,18,1,8,10,10,73,8,6,10,38,8,6,10,11,8,3,10,2,8,13,10,3,8,3,10,64,8,13,10,3,8,10,10,3,8,2,10,5,8,4,10,3,8,6,10,10,8,3,10,32,8,5,18,3,4,971,19,6,4,31,19,5,4,5,19,1,4,3,18,1,10,6,8,1,18,2,4,5,19,8,4,19,18,3,4,10,19,6,4,68,},
{4,1363,19,5,4,3,19,1,4,5,10,1,8,7,10,3,8,2,18,1,8,1,10,10,8,3,10,11,8,5,10,25,8,6,10,10,8,3,10,5,8,7,10,1,8,4,10,2,8,1,10,11,8,1,18,1,14,3,15,1,8,3,14,2,3,3,14,6,18,2,8,7,10,45,8,3,10,24,8,7,10,40,8,6,10,2,8,3,10,5,8,1,10,3,8,13,10,2,8,5,10,63,8,13,10,4,8,10,10,2,8,2,10,5,8,4,10,3,8,8,10,7,8,6,10,31,8,4,18,2,4,972,19,6,4,30,19,6,4,8,18,1,10,6,8,2,18,1,4,6,19,6,4,15,19,5,4,1,18,3,4,84,},
{4,1366,19,1,4,3,19,5,4,3,18,7,8,1,10,2,8,1,18,3,10,8,8,7,10,1,8,1,10,7,8,5,10,25,8,5,10,19,8,2,10,2,8,2,10,3,8,2,10,14,8,2,18,1,14,4,15,3,14,7,3,3,14,2,18,1,8,8,10,44,8,5,10,21,8,7,10,20,8,1,10,2,8,5,10,14,8,4,10,4,8,3,10,8,8,11,10,5,8,3,10,68,8,12,10,7,8,1,10,1,8,6,10,5,8,4,10,3,8,8,10,6,8,8,10,30,8,4,18,1,4,973,19,6,4,6,18,2,4,22,19,6,4,7,10,7,8,2,18,2,4,2,19,2,4,22,19,6,4,1,18,3,4,84,},
{4,1370,19,6,4,3,18,13,10,5,8,13,10,5,8,6,10,26,8,2,10,21,8,1,10,4,8,1,10,19,8,2,18,1,14,6,15,1,18,1,8,5,14,2,3,2,14,2,8,2,10,2,8,6,10,42,8,6,10,21,8,6,10,19,8,3,10,3,8,5,10,6,8,3,10,4,8,3,10,16,8,8,10,82,8,3,10,3,8,5,10,7,8,5,10,7,8,2,10,3,8,9,10,5,8,9,10,31,8,2,10,1,4,974,19,6,4,6,18,2,4,1,19,2,4,19,19,4,4,5,10,9,8,3,7,2,18,1,19,6,4,20,19,6,4,2,18,1,10,1,4,84,},
{4,1370,19,6,4,18,10,1,8,15,10,5,8,6,10,1,8,1,10,23,8,2,10,45,8,4,18,1,14,7,8,2,10,3,8,1,18,1,14,4,18,1,8,1,10,3,8,6,10,41,8,6,10,24,8,3,10,19,8,4,10,4,8,5,10,3,8,6,10,3,8,3,10,14,8,10,10,88,8,17,10,7,8,2,10,3,8,9,10,5,8,6,10,34,8,2,10,1,4,900,19,1,18,1,4,72,19,5,4,3,18,2,4,4,19,4,4,19,19,1,4,6,10,9,8,4,18,2,4,1,19,6,4,20,19,2,4,6,10,2,4,84,},
{4,1371,19,8,4,9,19,2,4,4,18,9,8,6,10,6,8,4,10,4,8,1,10,4,8,2,10,15,8,4,10,19,8,1,10,24,8,4,18,2,14,6,8,2,10,3,8,1,15,1,14,3,18,1,8,2,10,4,8,5,10,41,8,5,10,45,8,6,10,5,8,4,10,2,8,8,10,2,8,7,10,10,8,11,10,89,8,11,10,4,8,1,10,6,8,12,10,46,8,3,10,1,4,900,3,2,4,79,18,4,4,2,19,5,4,24,10,10,8,2,18,2,8,3,4,1,19,6,4,28,10,2,4,84,},
{4,1376,19,17,4,2,18,9,8,5,10,5,8,4,10,4,8,14,10,1,8,2,10,5,8,6,10,17,8,2,10,23,8,5,18,2,14,7,8,4,15,1,14,2,15,1,8,6,10,2,8,4,10,42,8,6,10,42,8,6,18,1,8,2,10,8,8,1,10,1,8,13,14,3,8,3,10,8,8,11,10,90,8,10,10,4,8,1,10,6,8,14,10,43,8,4,10,1,4,900,3,2,4,77,18,1,3,2,18,3,4,1,19,6,4,20,18,1,4,1,10,12,8,6,10,1,4,2,19,5,4,28,18,2,4,84,},
{4,1376,19,17,4,8,18,4,8,14,10,1,8,19,10,4,8,7,10,17,8,2,10,24,8,3,18,1,15,2,14,4,3,2,14,2,15,3,14,3,15,1,8,6,10,2,8,4,10,42,8,14,10,34,8,5,18,3,8,5,10,7,8,12,14,1,3,1,14,2,18,1,8,4,10,9,8,7,10,91,8,10,10,2,8,2,10,5,8,23,10,34,8,5,10,1,4,971,18,1,3,3,18,4,3,4,18,1,4,2,19,6,4,15,18,5,10,16,8,3,10,2,4,3,19,4,4,3,19,1,4,7,19,7,4,2,10,4,18,6,4,84,},
{4,1376,19,18,4,10,10,1,8,1,18,1,8,31,10,5,8,7,10,17,8,2,10,24,8,2,18,1,15,1,14,5,3,3,14,8,8,7,10,2,8,3,10,8,8,3,10,10,8,1,10,23,8,3,18,5,8,4,10,12,8,6,10,17,8,5,18,3,8,5,10,6,8,12,18,1,14,3,18,1,8,6,10,9,8,3,10,9,8,3,10,85,8,10,10,5,8,23,10,2,8,5,10,28,8,4,10,1,4,880,19,3,4,87,18,1,3,5,18,2,3,4,18,1,10,1,4,2,19,5,4,15,18,4,8,1,10,20,8,2,18,1,4,3,19,3,4,2,19,16,4,2,10,3,9,1,18,2,10,4,4,84,},
{4,1384,19,10,4,10,18,4,8,20,10,16,8,5,10,8,8,1,10,9,8,2,10,25,8,1,18,1,14,6,3,2,14,3,15,3,14,1,15,1,8,8,10,2,8,3,10,8,8,3,10,34,8,2,18,1,14,4,18,2,8,3,10,12,8,5,10,20,8,3,18,6,8,4,10,3,8,25,10,20,8,4,10,88,8,6,10,4,8,31,10,29,8,2,10,2,4,879,19,1,3,3,19,1,4,85,18,2,3,1,18,6,3,4,8,1,10,1,4,22,10,1,8,2,10,22,8,1,18,3,4,8,19,15,4,2,10,2,18,1,10,4,9,1,10,2,4,4,18,4,4,76,},
{4,1391,19,2,4,13,18,2,8,20,10,16,8,5,10,24,8,2,10,19,8,1,18,1,14,9,15,1,8,2,15,3,8,2,10,2,8,10,10,7,8,4,10,34,8,3,18,1,14,2,18,3,8,2,10,38,8,2,18,8,8,8,10,2,8,8,10,3,8,4,10,1,8,5,10,21,8,2,10,90,8,5,10,5,8,16,10,1,8,11,10,34,4,879,19,1,3,4,19,1,4,85,18,3,4,2,18,1,10,2,18,5,10,2,4,20,18,1,10,11,8,2,10,13,18,6,10,2,4,4,19,15,4,2,10,6,18,1,3,1,18,7,14,2,18,3,10,2,4,72,},
{4,1408,8,7,10,2,8,5,10,2,8,4,10,16,8,4,10,39,8,3,10,4,8,1,18,1,14,7,18,1,8,5,15,1,8,2,10,3,8,12,10,5,8,4,10,34,8,11,10,38,8,2,18,4,8,4,18,2,8,6,10,3,8,6,10,3,8,5,10,2,8,5,10,6,8,1,10,108,8,2,10,4,8,15,10,5,8,5,10,37,4,877,19,4,3,3,19,1,4,100,18,2,4,19,18,1,8,1,10,18,8,2,10,5,8,1,18,5,8,1,10,3,4,2,19,4,4,5,19,6,4,2,10,4,18,1,3,4,18,2,10,4,8,2,18,1,8,2,10,6,4,6,18,5,4,57,},
{4,1417,18,2,8,3,10,1,8,6,10,5,8,1,10,5,8,3,10,1,8,2,10,15,8,3,10,21,8,6,10,3,8,2,14,4,15,1,18,1,8,2,10,3,8,2,15,1,8,2,10,3,8,2,18,2,8,8,10,1,8,9,10,22,8,4,10,8,8,5,10,4,8,4,10,34,8,2,18,4,8,12,10,5,8,4,10,4,8,2,18,1,8,9,10,1,8,8,10,83,8,1,10,22,8,3,10,4,8,14,10,5,8,5,10,34,4,158,19,4,4,660,19,6,4,51,19,7,4,98,19,2,4,3,18,1,4,18,18,1,8,2,10,5,8,5,10,7,8,3,10,6,18,1,8,7,10,2,4,1,19,1,4,9,19,4,4,3,10,3,18,2,3,4,18,2,10,11,8,3,10,1,4,5,18,2,3,4,18,1,4,56,},
{4,1419,18,4,8,1,18,2,8,11,10,2,8,7,10,5,8,2,10,6,8,1,18,3,8,1,10,8,8,2,10,13,8,9,7,1,14,3,7,1,8,2,10,4,8,1,15,2,8,2,10,3,8,2,18,1,15,1,18,1,8,2,18,2,8,1,10,3,8,1,18,2,8,3,18,2,8,2,10,6,8,4,10,10,8,14,18,3,8,1,10,4,8,1,18,2,8,7,10,23,8,1,18,6,14,1,15,1,8,14,10,5,8,3,10,6,8,21,10,23,8,1,10,23,8,4,10,30,8,4,10,4,8,3,10,12,8,4,10,6,8,11,10,5,8,3,10,36,4,158,19,6,4,652,19,3,4,3,19,8,4,50,19,2,4,102,19,5,4,19,18,1,8,1,10,8,8,4,10,16,8,3,10,5,8,2,4,5,18,5,4,7,10,2,8,3,18,1,14,4,18,1,8,2,10,10,8,5,18,6,14,1,3,4,18,3,10,2,4,51,},
{4,1419,18,8,8,21,10,11,18,3,8,2,10,8,8,2,10,13,8,9,7,1,14,3,7,1,8,2,10,3,8,2,15,2,8,8,18,1,8,3,18,2,8,1,10,3,8,1,18,3,8,6,10,7,8,3,10,2,8,2,10,7,8,8,7,1,8,4,18,1,14,1,18,1,8,1,10,3,8,1,18,3,8,9,10,5,8,4,10,12,8,1,18,1,3,4,14,2,7,1,8,3,10,1,8,10,10,15,8,21,10,22,8,1,10,22,8,5,10,6,8,2,10,14,8,2,10,6,8,4,10,4,8,3,10,12,8,5,10,5,8,10,10,5,8,4,10,8,8,2,10,25,4,159,19,6,4,652,19,3,4,4,19,7,4,154,19,6,4,6,18,2,4,2,10,5,18,1,10,1,8,3,10,8,8,4,10,16,8,3,10,5,8,2,18,2,8,1,10,2,8,4,10,1,8,1,10,6,8,12,10,13,8,9,18,3,14,2,7,1,8,4,10,4,4,47,},
{4,1421,18,4,8,25,10,25,8,7,10,6,8,5,10,2,8,2,7,1,14,3,7,1,8,3,15,5,8,6,18,1,8,7,10,4,8,1,18,2,8,2,10,13,8,2,10,2,8,1,18,2,8,2,10,9,8,3,7,1,14,1,18,7,8,1,10,1,8,1,18,4,8,4,18,1,8,13,10,12,18,2,3,4,14,2,8,16,10,20,8,16,10,47,8,1,10,7,8,1,10,15,8,2,10,6,8,3,10,19,8,6,10,4,8,11,10,5,8,4,10,34,4,3,19,2,4,116,19,2,4,14,19,2,4,10,10,2,4,9,19,6,4,652,19,2,4,9,19,3,4,154,19,6,4,5,18,4,10,4,8,8,10,1,8,1,10,6,8,3,10,18,8,2,10,4,8,10,10,8,8,10,10,23,8,1,10,1,8,13,18,2,10,1,4,5,19,2,4,38,},
{4,1421,18,6,8,4,18,1,8,20,10,23,8,3,18,2,8,2,10,8,8,2,10,4,8,2,14,4,7,2,14,4,15,1,8,5,15,2,18,1,8,7,10,4,8,1,18,2,8,2,10,17,8,1,18,3,8,2,10,9,8,2,7,1,14,2,15,1,18,8,14,2,18,1,8,16,18,1,8,2,10,11,8,1,18,2,3,4,14,2,18,1,8,16,10,10,8,2,10,7,8,17,10,22,8,2,10,28,8,3,10,45,8,19,10,7,8,6,10,32,4,2,19,4,4,101,19,4,4,9,19,7,4,7,19,6,4,8,18,1,10,2,4,9,19,6,4,652,19,2,4,4,18,2,3,2,4,3,19,1,4,154,19,5,4,4,18,6,8,1,10,2,8,12,10,10,8,3,10,13,8,1,10,6,8,8,10,10,8,7,10,32,8,4,7,1,14,3,18,1,8,2,18,1,4,4,19,5,4,35,},
{4,1422,18,7,8,1,18,1,8,1,18,1,8,19,10,14,8,1,10,8,8,6,10,9,8,2,10,5,8,1,14,10,15,1,8,6,15,1,18,1,8,7,10,3,8,2,18,2,8,2,10,16,8,2,18,4,8,1,10,9,8,2,14,3,18,2,8,4,18,2,14,3,18,1,8,20,10,10,8,2,18,1,14,2,3,1,14,2,18,4,8,9,10,1,8,4,10,10,8,1,10,8,8,18,10,21,8,3,10,25,8,6,10,44,8,11,10,1,8,7,10,2,8,4,10,5,8,4,10,28,8,1,9,1,4,1,19,5,4,100,19,6,4,8,19,20,4,8,18,4,4,666,19,3,4,4,18,1,3,2,18,1,4,164,18,7,8,1,10,4,8,3,18,1,8,1,10,3,8,1,10,11,8,4,10,20,8,5,10,6,8,2,10,6,8,5,10,8,8,2,10,24,8,3,7,1,14,3,18,1,8,2,10,1,4,4,19,7,4,33,},
{4,1422,18,8,8,2,18,2,8,18,10,13,8,3,10,6,8,6,10,10,8,3,10,4,8,1,14,2,3,2,14,6,15,1,8,6,15,2,8,12,18,1,8,3,10,16,8,2,18,1,14,2,18,1,8,1,10,4,8,1,10,4,8,1,18,1,14,3,18,1,8,6,18,1,14,2,18,1,8,23,10,8,8,3,18,15,8,2,10,3,8,4,10,16,8,4,18,1,8,17,10,19,8,4,10,24,8,6,10,44,8,11,10,6,8,8,10,6,8,3,10,27,8,2,18,1,4,1,19,5,4,100,19,6,4,9,19,19,4,7,18,5,4,666,19,4,4,4,3,3,4,163,18,1,3,1,18,3,10,8,8,5,10,15,8,3,10,22,8,3,10,6,8,4,10,16,8,11,10,19,8,1,7,1,14,3,18,1,8,2,18,2,4,4,19,7,4,32,},
{4,1424,18,5,8,15,7,2,8,3,10,16,8,15,10,11,8,1,10,4,8,2,15,1,14,1,3,3,14,5,15,1,8,5,15,4,8,17,10,5,8,1,10,6,8,3,18,2,14,2,18,1,8,1,10,8,8,2,14,2,18,4,8,5,18,3,8,25,10,8,8,6,18,2,14,1,18,4,8,6,10,3,8,6,10,12,8,28,10,15,8,5,10,23,8,5,10,42,8,14,10,7,8,7,10,7,8,2,10,24,8,2,9,1,10,2,4,1,19,6,4,95,19,2,4,3,19,6,4,4,18,2,4,5,19,14,4,1,19,1,4,4,18,7,8,1,10,13,4,1,18,5,4,587,19,5,4,64,3,3,18,1,4,148,19,3,4,7,18,1,3,2,18,1,4,6,10,7,8,4,10,15,8,3,10,9,8,3,10,12,8,1,10,7,8,4,10,11,8,16,10,19,8,1,7,1,14,1,3,2,14,1,18,6,4,3,19,6,4,32,},
{4,1425,18,14,8,5,7,1,18,1,8,3,10,3,8,4,10,13,8,11,10,6,8,1,10,8,8,3,18,1,14,2,3,3,14,4,15,1,8,4,15,1,14,4,15,1,8,3,10,2,8,5,10,3,8,5,10,3,8,1,10,5,8,1,18,5,14,1,18,2,8,1,10,7,8,2,18,1,14,2,18,1,8,1,18,3,8,10,18,1,8,1,18,1,8,20,10,13,8,1,18,5,8,7,10,3,8,8,10,9,8,3,18,3,8,4,10,1,8,18,10,16,8,6,10,22,8,3,10,43,8,15,10,6,8,6,10,8,8,2,10,8,8,1,10,14,8,3,10,1,4,4,19,4,4,94,19,5,4,2,19,5,4,4,18,4,4,6,19,10,4,7,10,2,18,2,8,1,10,1,8,1,10,16,18,11,10,3,4,577,19,6,4,64,3,3,18,1,4,148,19,3,4,6,18,1,3,2,18,1,4,7,10,7,8,3,10,5,8,1,10,5,8,1,10,4,8,4,10,7,8,5,10,20,8,4,10,10,8,14,18,1,8,2,10,18,8,2,14,2,3,1,14,3,18,5,4,3,19,5,4,32,},
{4,1429,18,4,3,2,18,5,8,4,18,1,8,3,10,3,8,5,10,19,8,2,18,1,8,4,10,4,8,1,10,8,8,2,18,2,14,2,3,4,14,3,15,2,8,1,15,1,14,3,3,1,14,2,15,1,8,2,10,4,8,3,10,5,8,5,10,7,8,1,18,7,8,2,10,6,8,2,18,8,14,1,18,1,8,9,18,4,8,20,10,14,8,1,18,4,8,1,10,9,8,9,10,8,8,3,18,3,8,3,10,3,8,18,10,14,8,7,10,68,8,5,10,2,8,9,10,2,8,6,10,10,8,3,10,2,8,6,10,15,8,3,4,102,19,6,4,10,10,2,8,3,18,3,4,18,10,31,8,2,18,2,10,5,4,576,19,6,4,36,19,7,4,21,18,1,3,2,18,1,4,147,19,3,4,2,18,1,3,3,18,1,4,12,10,5,8,3,10,4,8,4,10,4,8,1,10,4,8,5,10,7,8,2,10,24,8,1,10,12,8,2,10,5,8,6,18,1,8,2,10,17,8,2,7,1,14,3,17,2,14,3,8,1,18,3,4,4,19,10,4,25,},
{4,1430,18,10,8,17,10,19,8,12,10,6,8,1,18,5,14,1,3,4,17,1,14,8,3,2,14,2,15,1,8,2,10,5,8,1,10,5,8,6,10,6,8,2,18,1,14,1,18,3,8,3,10,6,8,1,18,12,8,9,18,2,8,25,10,12,8,3,10,11,8,8,10,10,8,7,10,5,8,4,18,2,8,12,10,13,8,7,10,68,8,5,10,3,8,13,10,10,8,13,10,16,8,2,10,1,4,102,19,6,4,8,10,6,8,4,10,2,4,11,18,3,10,33,8,5,10,7,4,573,19,5,4,33,18,2,4,2,19,8,4,21,3,2,4,148,19,3,4,1,3,5,4,12,10,2,8,8,10,2,8,4,10,10,8,14,10,4,8,6,10,10,8,2,10,23,8,8,10,16,8,4,7,2,14,1,17,3,14,1,7,1,8,2,18,5,4,3,19,9,4,24,},
{4,1434,18,6,8,19,10,10,8,5,10,3,8,12,10,5,8,1,18,6,14,1,3,3,17,2,14,11,18,1,8,2,10,11,8,6,10,6,8,1,18,2,14,1,18,1,8,3,10,7,8,2,18,11,8,2,10,2,8,34,10,24,8,8,10,13,8,5,10,5,8,4,18,4,8,10,10,10,8,7,10,71,8,5,10,3,8,7,10,3,8,2,10,10,8,11,10,20,18,1,4,2,19,3,4,98,19,5,4,4,10,13,8,3,10,8,18,2,10,38,8,2,18,1,8,3,10,8,4,5,19,3,4,600,19,1,3,2,18,1,4,2,19,7,4,171,19,3,18,1,3,1,16,1,3,2,4,13,10,1,8,14,10,10,8,25,10,10,8,1,10,24,8,8,10,2,8,5,10,9,8,6,7,1,14,1,17,2,14,1,7,1,8,1,18,8,4,2,19,8,4,3,19,4,4,1,19,1,4,15,},
{4,1431,19,1,4,9,10,1,8,17,10,4,8,4,10,3,8,4,10,5,8,10,10,5,8,1,18,3,8,2,18,2,14,1,3,1,14,3,3,2,14,4,15,4,8,5,10,9,8,7,10,5,8,3,18,2,8,2,10,9,8,1,18,2,3,2,18,8,8,1,10,4,8,2,10,2,8,7,10,1,8,22,10,24,8,6,10,6,8,3,10,7,8,3,10,7,8,5,18,1,8,11,10,8,8,7,10,64,8,2,10,6,8,5,10,2,8,5,10,18,8,10,10,21,4,1,19,5,4,31,19,12,4,40,19,11,4,12,10,13,8,4,10,46,8,11,10,6,4,4,19,6,4,561,18,1,3,3,18,1,4,32,18,3,4,3,19,6,4,172,19,1,4,1,18,1,3,3,4,13,18,3,8,13,10,10,8,4,10,2,8,14,10,1,8,3,10,35,8,8,10,3,8,7,10,6,8,5,10,2,8,1,7,1,14,3,7,5,15,2,14,2,18,2,4,2,19,7,4,2,19,8,4,14,},
{4,1430,19,6,4,6,10,3,8,13,10,5,8,3,18,1,8,2,10,13,8,7,10,5,8,1,18,3,8,3,18,2,14,5,3,1,14,2,15,1,8,10,10,8,8,4,10,7,8,7,10,10,8,1,18,2,3,5,18,6,10,10,8,3,10,5,8,8,10,1,8,7,18,1,8,4,10,24,8,5,10,6,8,4,10,8,8,2,10,7,8,18,10,6,8,8,10,64,8,3,10,5,8,11,10,19,8,8,10,13,8,2,10,6,8,1,9,1,4,1,19,5,4,30,19,14,4,38,19,12,4,12,10,13,8,4,10,28,8,1,10,15,8,13,10,6,4,4,19,6,4,561,18,1,3,5,4,178,18,3,19,1,4,36,18,2,4,11,18,5,8,12,10,11,8,4,10,5,8,3,10,3,8,5,10,3,8,1,10,32,8,10,10,6,8,5,10,7,8,4,10,3,8,2,7,10,14,3,18,2,4,5,19,13,4,14,},
{4,1430,19,10,4,3,10,1,18,5,8,3,10,2,8,3,10,6,8,3,18,2,8,1,10,16,8,2,10,7,8,5,10,2,8,4,15,1,14,4,15,1,8,10,10,9,8,4,10,7,8,6,10,6,8,1,10,4,8,2,18,1,3,6,18,7,10,2,18,5,10,1,18,4,10,4,8,1,18,4,8,2,10,3,8,5,18,3,8,3,10,2,8,6,10,20,8,1,10,4,8,5,10,13,8,2,10,7,8,14,10,6,8,2,18,2,8,8,10,60,8,4,10,4,8,10,10,20,8,8,10,20,8,2,4,1,19,6,4,30,19,14,4,38,19,12,4,11,10,12,8,6,10,21,8,1,10,22,8,7,10,3,8,4,10,5,4,5,19,5,4,562,3,6,4,35,18,7,4,135,18,3,19,1,4,48,18,6,8,12,10,11,8,4,10,13,8,3,10,36,8,2,10,5,8,1,10,9,8,3,10,8,8,4,10,1,8,4,7,10,6,2,14,2,18,4,4,4,19,10,4,15,},
{4,1430,19,11,4,3,18,5,8,2,10,3,8,7,10,3,8,5,10,26,8,4,10,4,8,3,15,3,18,1,8,10,10,21,8,5,10,13,8,1,18,3,3,4,18,6,4,11,18,1,4,2,18,9,10,5,8,1,10,1,8,8,10,2,8,10,10,3,8,3,10,11,8,7,10,13,8,5,10,8,8,12,10,5,8,2,18,3,8,5,18,2,8,2,10,28,8,4,10,16,8,1,10,10,8,5,10,3,8,3,10,1,8,6,10,3,8,7,10,10,8,8,10,18,8,2,9,1,10,1,4,1,19,6,4,26,19,1,4,3,19,14,4,5,19,2,4,31,19,4,4,3,19,5,4,5,10,7,8,1,10,10,8,6,10,8,8,1,10,27,8,1,10,7,8,5,10,16,4,3,19,4,4,566,18,1,3,1,18,1,4,35,18,1,3,7,4,177,18,2,3,1,18,3,10,1,18,3,8,2,18,2,8,9,10,1,8,3,10,11,8,3,10,28,8,2,10,40,8,3,10,4,8,6,10,2,8,2,7,5,6,1,17,1,6,1,7,5,17,3,14,1,3,1,14,1,18,3,10,1,4,2,19,9,4,16,},
{4,1430,19,4,4,1,19,6,4,5,18,4,8,1,10,3,8,9,10,3,8,1,10,20,8,2,10,1,8,1,10,5,8,2,10,7,8,6,10,2,8,6,10,21,8,5,10,15,8,1,18,2,3,2,18,7,4,26,10,3,8,1,10,5,8,16,10,2,8,5,10,10,8,8,10,6,8,12,10,8,8,12,10,5,8,2,18,2,8,4,18,4,8,2,10,28,8,4,10,13,8,3,10,10,8,30,10,8,8,7,10,17,8,4,9,1,4,2,19,6,4,10,19,6,4,8,19,4,4,2,19,4,4,5,19,4,4,3,19,6,4,45,18,1,10,6,8,4,10,9,8,6,10,8,8,1,10,28,8,1,10,15,8,2,10,10,4,612,18,1,3,6,4,177,18,1,3,3,18,2,8,2,18,1,8,13,10,46,8,3,10,44,8,1,10,2,8,5,10,2,8,2,7,1,14,1,6,3,17,4,7,4,6,1,17,1,16,2,17,1,14,4,18,3,4,2,19,5,4,19,},
{4,1436,19,6,4,5,18,4,8,1,10,4,8,7,10,25,8,2,10,20,8,3,10,25,8,5,10,17,8,1,18,2,3,1,18,3,4,20,19,1,4,12,18,3,10,2,8,2,10,2,8,1,18,4,8,8,10,3,8,1,10,4,8,1,10,10,8,28,10,8,8,3,18,1,8,6,10,5,8,3,18,1,8,10,10,43,8,4,10,11,8,20,10,5,8,12,10,23,8,5,9,1,4,2,19,6,4,8,19,11,4,3,19,6,4,18,19,5,4,45,18,2,10,6,8,4,10,5,8,4,10,3,8,3,10,24,8,1,10,2,8,1,10,10,8,1,10,12,8,6,10,8,4,610,19,5,4,181,18,4,8,8,18,2,8,2,10,2,8,3,10,5,8,3,10,11,8,3,10,25,8,1,10,45,8,3,10,3,8,7,7,1,14,1,17,6,6,3,7,2,17,2,16,2,17,2,14,5,18,2,4,11,18,2,4,12,},
{4,1440,19,1,4,8,18,3,10,4,8,8,10,72,8,5,10,19,18,4,4,22,19,9,4,6,18,2,10,3,8,2,10,2,18,4,8,8,10,8,8,2,10,10,8,24,18,2,8,2,10,9,8,10,10,5,8,7,10,3,8,4,10,40,8,5,10,11,8,20,10,5,8,12,10,23,8,5,9,1,4,2,19,6,4,8,19,12,4,2,19,6,4,18,19,5,4,13,18,2,4,16,10,9,18,3,10,3,8,1,10,5,8,5,10,5,8,4,10,5,8,1,10,12,8,3,10,9,8,2,10,15,8,2,10,7,8,6,10,9,4,610,19,6,4,179,18,3,8,6,10,1,8,2,18,3,8,2,10,3,8,2,10,4,8,5,10,5,8,1,10,4,8,3,10,24,8,1,10,28,8,5,10,13,8,3,10,4,8,7,7,1,14,1,17,5,6,1,17,1,6,3,17,2,16,2,17,2,14,3,17,1,14,2,18,2,4,10,10,2,9,1,18,11,},
{4,1451,18,2,10,3,8,10,10,29,8,3,10,57,8,3,10,1,4,27,19,10,4,7,18,3,4,2,10,4,8,2,18,3,8,6,10,7,8,2,10,10,8,4,10,1,8,19,18,4,8,3,10,3,8,2,10,7,8,5,10,59,8,8,10,8,8,3,10,4,8,29,10,24,8,4,9,1,4,16,19,11,4,3,19,6,4,3,18,2,10,9,4,4,19,4,4,3,18,8,4,1,10,8,18,11,10,10,18,2,8,1,10,9,8,5,10,27,8,2,10,28,8,1,10,6,8,6,10,15,4,605,19,6,4,178,18,5,8,5,10,1,8,2,18,3,8,2,10,2,8,4,10,3,8,5,10,4,8,3,10,3,8,2,10,54,8,4,10,14,8,3,10,4,8,8,7,2,17,6,6,4,17,9,3,2,18,9,10,2,8,4,9,2,8,6,9,2,8,1,},
{4,1454,10,2,8,1,18,1,8,2,18,1,8,6,10,29,8,1,10,7,8,3,10,47,8,2,18,2,4,3,19,5,4,20,19,10,4,14,10,4,8,7,18,1,8,4,10,22,8,4,10,3,8,3,10,2,8,6,18,5,8,2,10,4,8,3,10,5,8,5,10,64,8,4,10,2,8,3,10,10,8,17,10,1,8,10,10,25,8,3,9,1,4,17,19,11,4,2,19,6,4,2,18,1,8,2,10,9,4,10,10,2,8,2,18,6,10,6,18,8,10,7,8,1,10,6,8,4,10,7,8,7,10,65,8,5,10,4,8,2,10,5,18,1,10,4,4,604,19,6,4,171,19,3,4,3,18,5,8,4,10,4,8,1,18,3,8,2,10,2,8,4,10,2,8,4,10,4,8,10,10,54,8,4,10,20,8,9,7,2,6,1,17,3,6,2,7,1,6,5,7,2,14,1,17,3,3,2,14,1,3,6,18,3,10,2,8,5,10,3,8,4,10,3,},
{4,1454,10,2,18,10,8,3,10,3,8,1,10,31,8,3,10,47,8,1,18,3,4,2,19,8,4,19,19,9,4,16,10,5,8,3,18,3,8,4,10,21,8,3,10,10,8,7,18,3,8,3,10,11,8,5,10,64,8,5,10,1,8,1,10,14,8,14,10,3,8,7,10,28,8,2,9,1,4,22,19,6,4,2,19,3,4,4,18,2,8,1,10,10,4,9,10,7,8,4,10,6,8,1,18,4,8,2,10,11,8,8,10,5,8,10,10,6,8,1,10,57,8,4,10,4,8,3,10,4,18,4,10,2,4,604,19,6,4,170,19,4,4,1,18,3,8,3,10,9,8,6,10,2,8,5,10,1,8,4,10,4,8,9,10,54,8,6,10,18,8,2,10,4,8,3,7,2,14,1,6,1,17,1,6,2,7,3,6,4,7,4,14,8,18,3,3,2,18,2,8,1,10,6,8,1,10,9,},
{4,1455,18,20,10,7,8,1,10,21,8,3,10,13,8,1,10,4,8,1,10,28,18,3,4,3,19,8,4,45,9,3,10,4,8,1,18,3,8,4,10,34,8,11,10,1,8,6,10,6,8,5,10,5,8,10,10,6,8,3,10,41,8,3,10,19,8,10,10,4,8,4,10,34,4,25,19,3,4,8,18,2,8,2,10,5,8,2,10,5,4,1,18,1,4,4,10,8,8,5,10,5,8,5,10,13,8,2,10,1,8,5,10,4,8,7,10,3,8,1,10,6,8,1,10,30,8,2,10,40,18,3,10,4,18,1,4,6,10,4,4,1,10,1,4,594,19,1,4,171,19,4,4,1,18,1,8,2,10,13,8,3,10,5,8,9,10,4,8,2,10,3,8,5,10,53,8,6,10,11,8,1,10,5,8,3,10,4,8,3,7,12,6,2,7,4,14,3,7,1,8,3,18,1,8,2,18,5,8,2,10,3,8,5,10,4,8,3,},
{4,1461,10,4,4,2,18,5,4,7,10,3,8,1,10,21,8,2,10,46,4,8,19,8,4,46,18,2,10,5,8,2,18,1,8,5,10,17,8,2,10,14,8,3,10,9,8,2,18,4,8,30,10,1,8,6,10,50,8,3,10,9,8,9,10,4,8,4,10,35,4,4,10,10,18,4,10,2,9,1,18,1,4,10,18,1,10,11,8,2,10,6,18,3,10,9,8,7,10,26,8,4,10,3,8,8,10,22,8,2,10,17,8,3,10,46,9,1,10,6,8,6,10,3,4,1,18,4,4,549,19,4,4,200,19,2,4,3,19,4,4,1,18,1,8,1,10,23,8,3,10,2,8,3,10,4,8,2,10,3,8,8,10,49,8,6,10,12,8,1,10,5,8,3,10,4,8,6,7,4,6,1,17,1,7,4,6,4,14,3,7,1,8,1,10,8,8,10,18,1,8,8,18,1,},
{4,1480,18,2,8,3,10,4,8,2,10,11,8,2,10,21,8,2,10,21,4,12,19,8,4,54,18,3,8,2,10,19,8,2,10,14,8,2,10,11,8,1,18,5,8,15,18,7,8,14,10,51,8,2,10,10,8,10,10,1,8,4,10,34,8,1,18,3,10,4,8,3,10,5,8,1,18,4,10,3,9,1,4,8,18,2,8,1,10,14,8,5,10,9,8,10,10,15,8,1,10,15,8,7,10,22,8,4,10,37,8,2,10,35,8,4,10,6,18,6,4,536,19,4,4,5,19,6,4,197,19,5,4,2,19,3,4,2,18,1,10,11,8,1,10,12,8,4,10,1,8,3,10,3,8,3,10,2,8,9,10,7,8,1,10,41,8,5,10,13,8,1,10,5,8,2,10,5,8,8,7,2,6,1,17,1,6,1,7,3,17,2,7,5,8,1,10,12,8,11,10,1,8,5,},
{4,1481,18,4,8,2,10,15,8,1,10,6,8,7,10,9,8,2,10,2,8,1,10,9,8,3,18,1,8,1,10,4,4,12,19,8,4,54,18,3,8,2,10,19,8,2,10,14,8,2,10,11,8,42,10,64,8,12,10,36,8,2,18,3,10,4,8,1,10,7,8,4,10,4,4,7,18,2,8,1,10,8,8,2,10,4,8,5,10,7,8,14,10,21,8,2,10,7,8,6,10,18,8,6,10,39,8,6,10,28,8,1,10,9,8,1,10,10,4,533,19,6,4,6,19,7,4,194,19,6,4,7,10,9,8,5,10,11,8,9,10,1,8,8,7,3,8,4,10,6,8,3,10,40,8,3,10,20,8,3,10,11,8,2,7,2,6,3,14,1,17,3,6,1,7,1,8,3,10,5,8,1,10,10,8,4,10,11,},
{4,1472,19,5,4,5,18,5,8,2,10,18,8,5,10,1,8,4,10,12,8,2,10,6,8,2,18,6,10,2,4,3,19,6,4,5,19,2,4,60,18,2,10,21,8,1,10,33,8,36,10,73,8,3,10,37,8,4,10,8,8,5,10,5,8,2,18,2,4,2,10,1,4,1,18,3,8,1,10,5,8,6,10,5,8,3,10,8,8,7,10,4,8,1,10,23,8,2,10,7,8,5,10,19,8,6,10,50,8,2,10,3,8,7,10,10,8,3,10,7,8,2,10,3,8,2,10,6,4,532,19,5,4,3,18,3,4,2,19,6,4,194,19,5,4,6,18,1,10,10,8,5,10,10,8,18,7,4,8,5,10,5,8,2,10,41,8,2,10,21,8,3,10,11,8,2,7,4,14,1,17,1,16,2,17,1,14,1,8,1,10,34,},
{4,1470,19,9,4,4,18,5,10,19,8,3,10,4,8,3,10,20,8,1,18,4,4,8,19,6,4,70,10,6,8,2,10,30,8,2,10,14,8,35,10,126,8,6,10,4,8,2,18,8,10,6,8,7,10,5,8,2,10,9,8,4,10,39,8,5,10,22,8,1,10,53,8,2,10,3,8,5,10,10,8,8,10,5,8,7,10,5,4,532,19,4,4,2,3,6,18,1,4,2,19,5,4,190,19,8,4,2,9,1,10,29,8,18,7,3,8,10,10,21,8,3,10,2,8,4,10,14,8,1,10,22,8,3,10,11,8,2,7,5,6,1,17,3,14,1,8,2,10,33,},
{4,1470,19,11,4,4,18,3,10,26,8,3,10,20,18,3,4,10,19,6,4,72,10,3,8,5,10,28,8,3,10,14,8,29,10,3,8,3,10,83,8,5,10,38,8,5,10,4,8,2,18,7,8,1,10,2,8,1,10,2,8,2,18,2,8,4,10,17,8,2,10,27,8,5,10,2,8,3,10,2,8,6,10,76,8,2,10,2,8,4,10,8,8,3,18,3,8,9,10,3,8,6,10,6,4,530,19,3,4,2,18,1,3,2,16,4,3,2,18,1,4,1,19,6,4,188,19,7,4,4,10,27,8,21,7,2,8,12,10,5,8,2,10,12,8,11,10,35,8,3,10,12,8,3,7,3,14,2,17,2,14,1,7,1,8,1,10,8,8,2,10,24,},
{4,1472,19,11,4,3,18,4,8,2,10,10,8,1,10,11,8,2,10,21,18,3,4,4,19,4,4,3,19,4,4,73,10,4,8,5,10,28,8,3,10,13,8,6,10,3,8,7,18,1,8,11,10,5,8,2,10,51,8,3,10,28,8,7,10,38,8,5,10,3,8,2,18,2,8,3,18,2,10,2,8,2,10,2,8,9,10,30,8,1,10,14,8,1,18,3,8,4,18,1,8,7,10,29,8,2,10,48,8,6,10,8,8,3,18,1,15,1,18,3,8,8,10,3,8,7,10,6,4,530,19,1,4,2,18,1,3,3,16,4,3,2,18,1,4,1,19,6,4,188,19,6,4,4,18,1,10,13,8,9,10,4,8,36,10,5,8,5,10,8,8,12,10,13,8,1,10,38,8,2,14,3,17,1,14,3,8,1,10,8,8,5,10,22,},
{4,1477,19,7,4,3,18,5,10,8,8,2,18,1,8,1,10,10,8,1,10,23,18,1,4,3,19,6,4,82,10,2,8,7,10,7,8,2,10,17,8,3,10,15,8,4,10,3,8,7,18,1,8,11,10,6,8,1,10,51,8,3,10,7,8,2,10,21,8,4,10,27,8,4,10,9,8,4,10,1,8,7,10,1,8,3,10,1,8,2,10,1,8,11,10,44,8,1,18,5,8,2,18,2,8,2,10,1,8,2,10,38,8,3,10,41,8,3,10,9,8,3,18,1,15,2,18,3,8,8,10,3,8,7,10,6,4,13,19,3,4,516,18,1,3,4,16,3,3,4,18,1,4,1,19,5,4,188,19,5,4,3,18,3,10,11,8,12,10,2,8,2,18,2,8,37,10,12,8,15,10,4,8,1,10,11,8,2,10,9,8,1,10,23,8,1,15,1,14,6,8,2,10,8,8,4,10,23,},
{4,1478,19,6,4,5,18,6,8,9,10,32,4,6,19,6,4,84,10,1,8,1,18,2,8,3,10,7,8,2,10,35,8,11,10,1,8,14,10,66,8,8,10,49,8,4,10,12,8,7,10,3,8,1,10,1,8,2,10,1,8,1,18,2,8,1,10,4,8,6,10,33,8,12,18,2,10,4,8,1,10,42,8,4,10,33,8,1,10,7,8,1,10,9,8,29,10,6,4,13,19,4,4,514,18,1,3,13,18,1,4,1,19,4,4,185,19,7,4,3,18,4,10,11,8,16,18,2,8,7,10,1,8,29,10,8,8,18,10,4,8,3,10,20,8,2,10,12,8,1,10,5,8,5,15,2,14,4,15,1,8,2,10,36,},
{4,1479,19,5,4,9,18,11,8,7,10,7,8,3,10,4,4,17,19,6,4,87,18,2,8,4,10,43,8,10,10,1,8,15,10,60,8,15,10,56,8,1,10,6,8,5,10,7,8,1,10,2,18,1,14,2,8,1,10,4,8,6,10,27,8,7,18,8,8,1,10,2,8,1,10,47,8,6,10,30,8,3,10,14,8,13,18,1,8,18,10,7,4,3,19,1,4,8,19,4,4,453,19,4,4,57,3,1,16,4,3,1,14,5,3,4,18,1,19,4,4,184,19,8,4,2,18,4,10,12,8,16,18,2,8,10,7,2,8,5,7,2,8,5,7,2,8,11,10,8,8,20,10,25,8,3,10,16,8,10,15,1,8,3,10,37,},
{4,1488,19,2,4,3,18,2,3,3,18,14,8,6,18,2,8,1,10,2,18,1,4,6,19,1,4,12,19,4,4,89,10,2,18,3,8,2,10,10,8,3,10,28,8,14,10,2,8,5,10,1,8,4,10,5,8,5,10,48,8,5,18,2,8,2,10,1,8,7,10,40,8,4,10,10,8,5,10,3,8,5,10,5,8,4,10,2,18,1,14,1,18,2,8,1,10,5,8,3,10,27,8,9,18,5,8,3,10,37,8,5,10,9,8,6,10,28,8,4,10,12,8,27,10,3,8,8,10,2,4,12,19,3,4,455,19,4,4,56,18,1,3,1,16,3,17,1,6,1,17,2,14,3,3,4,18,1,19,4,4,184,19,7,4,2,18,3,8,1,10,12,8,18,7,2,8,7,7,3,8,6,7,4,8,4,7,1,8,3,7,4,8,4,10,4,8,4,10,10,8,10,10,17,8,1,10,8,8,2,10,14,8,5,10,48,},
{4,1488,19,4,4,12,18,17,4,6,19,5,4,107,18,3,8,5,10,6,8,3,10,30,8,10,10,5,8,3,10,4,8,2,10,4,8,6,10,47,8,4,18,4,8,1,10,3,8,6,10,31,8,5,10,4,8,4,10,9,8,3,10,1,8,1,10,5,8,3,10,3,8,2,10,1,8,3,10,2,8,2,18,3,8,3,10,2,8,4,10,26,8,18,10,18,8,2,10,10,8,12,10,9,8,5,10,29,8,3,10,12,8,16,7,1,8,10,10,4,8,9,10,1,4,12,19,2,4,455,19,5,4,3,18,1,3,3,18,8,4,41,18,1,16,4,17,1,6,4,14,3,3,1,16,2,3,1,4,1,19,3,4,184,19,6,4,2,18,4,10,4,8,1,10,7,8,13,10,1,8,12,7,5,8,4,7,6,8,3,7,2,8,2,7,4,8,5,10,4,8,4,10,10,8,11,10,40,8,5,10,3,8,3,10,43,},
{4,1488,19,11,4,5,18,11,4,1,18,1,4,7,19,8,4,108,18,1,8,7,10,6,8,1,10,5,8,3,10,26,8,6,10,19,8,5,10,9,8,2,10,10,8,2,10,22,8,8,18,3,8,1,10,5,8,2,10,28,8,11,10,3,8,4,10,3,8,3,10,2,8,3,10,23,8,7,10,1,8,4,10,27,8,7,10,6,8,5,10,18,8,2,10,10,8,6,18,1,8,4,10,10,8,5,10,45,8,15,7,1,8,9,10,1,8,7,10,7,4,469,19,2,4,1,19,1,3,17,18,1,4,39,3,1,16,5,17,1,6,2,7,1,14,3,3,1,16,2,3,1,4,1,19,4,4,139,19,4,4,39,19,7,4,2,18,1,3,1,18,2,10,12,8,25,7,2,14,1,7,2,8,3,7,6,8,4,7,4,8,1,7,3,8,7,10,17,8,11,10,7,8,2,10,29,8,4,10,52,},
{4,1488,19,14,4,18,19,12,4,108,18,1,8,7,10,11,8,4,10,17,8,2,10,32,8,4,10,10,8,2,10,10,8,2,10,21,8,12,10,32,8,1,10,1,8,13,10,6,8,11,10,25,8,11,10,62,8,3,10,6,8,6,18,2,14,3,18,1,8,3,10,8,8,6,10,18,8,2,10,28,8,23,10,1,8,2,18,1,8,4,10,8,4,468,19,2,18,1,3,1,16,16,3,3,4,37,18,1,3,1,16,5,17,1,6,1,7,3,14,2,3,4,4,2,19,4,4,24,19,14,4,86,19,6,4,8,19,6,4,33,19,10,4,2,18,4,8,1,10,12,8,25,7,1,14,2,7,1,8,2,7,4,14,1,7,2,8,4,7,7,8,10,10,6,8,3,10,5,8,12,10,8,8,1,10,30,8,3,10,53,},
{4,1488,19,16,4,15,19,13,4,108,10,1,18,5,8,3,10,9,8,5,10,50,8,2,18,2,8,1,10,44,8,10,10,35,8,14,10,8,8,5,10,32,8,9,10,19,8,3,10,27,8,1,10,12,8,3,10,4,8,6,18,3,14,4,18,1,8,2,10,3,8,1,10,5,8,6,10,24,8,1,10,23,8,26,18,1,8,3,10,9,4,470,3,1,16,18,3,2,18,1,4,31,19,3,4,2,3,1,16,7,17,1,6,1,7,2,14,3,3,3,4,2,19,4,4,24,19,14,4,3,19,6,4,74,19,9,4,8,19,6,4,32,19,8,4,5,18,4,8,1,10,9,8,13,10,1,8,7,7,2,8,5,7,4,8,1,7,3,14,3,7,2,8,4,7,8,8,9,10,4,8,13,10,1,8,7,10,41,8,1,10,54,},
{4,1489,19,6,4,1,19,10,4,12,19,12,4,112,18,5,8,3,10,8,8,4,10,26,8,1,10,8,8,3,10,12,8,3,18,2,8,2,10,30,8,3,10,10,8,7,10,18,8,3,10,17,8,13,10,9,8,3,10,24,8,6,10,5,8,7,10,7,8,3,10,9,8,6,10,24,8,2,10,18,8,6,18,4,14,4,18,1,8,2,10,2,8,3,10,3,8,7,10,22,8,3,10,24,8,29,10,9,4,469,18,1,16,19,3,3,4,30,19,4,4,1,18,1,3,1,16,7,17,1,6,4,14,3,3,1,18,2,4,1,19,4,4,24,19,14,4,2,19,8,4,72,19,10,4,8,19,6,4,32,19,6,4,3,18,7,8,2,10,7,8,22,7,15,14,3,7,4,8,3,7,9,8,9,10,2,8,18,7,1,8,3,10,14,8,5,10,77,},
{4,1498,19,8,4,12,19,8,4,112,19,1,4,4,18,3,8,4,10,4,8,1,10,3,8,2,10,36,8,5,10,10,8,3,18,4,8,7,10,7,8,2,10,14,8,5,10,9,8,5,10,18,8,4,10,18,8,12,10,4,8,3,10,4,8,2,10,17,8,5,10,1,8,2,18,1,8,4,10,5,8,7,10,5,8,5,10,9,8,6,10,12,8,5,10,8,8,1,10,17,8,3,18,1,8,3,18,4,14,3,18,1,8,2,10,3,8,4,10,1,8,6,10,23,8,5,10,22,8,28,10,11,4,469,3,1,16,17,17,1,3,4,18,1,4,28,19,5,4,1,3,1,16,8,17,1,6,2,17,2,14,2,15,1,18,3,4,1,19,4,4,24,19,4,4,12,19,8,4,70,19,12,4,3,10,1,4,5,19,5,4,32,19,4,4,4,18,1,3,1,18,5,8,2,10,8,8,18,7,7,14,4,7,7,14,3,7,8,8,2,7,7,8,28,7,2,8,3,10,14,8,5,10,13,8,1,10,63,},
{4,1498,19,8,4,13,19,7,4,112,19,3,4,5,10,1,8,4,10,1,8,3,10,2,8,2,10,37,8,5,10,10,8,2,18,8,8,5,10,2,8,1,10,2,8,4,10,13,8,4,10,6,8,2,10,17,8,6,10,2,8,4,10,19,8,6,10,10,8,2,10,3,8,3,10,16,8,2,18,2,8,4,18,2,8,4,10,5,8,6,10,4,8,7,10,9,8,6,10,14,8,3,10,15,8,1,10,10,8,10,18,4,8,3,10,4,8,9,10,22,8,5,10,11,8,2,10,10,8,13,10,5,8,8,10,14,4,467,18,2,3,1,16,10,17,3,6,1,17,4,16,1,3,4,18,1,4,26,19,6,4,1,3,1,16,7,17,2,6,1,17,3,6,1,14,1,15,2,18,1,3,1,4,2,19,3,4,25,19,1,4,2,18,2,3,2,18,1,4,8,19,9,4,63,19,15,4,4,10,4,4,4,19,4,4,32,19,3,4,4,18,1,3,2,18,4,8,1,10,9,8,18,7,9,14,3,7,6,14,1,6,1,14,1,7,2,8,2,7,6,8,2,7,8,8,2,7,2,8,6,7,4,8,17,10,15,8,3,10,13,8,2,10,17,8,1,10,45,},
{4,1638,19,5,4,3,10,2,8,1,18,1,8,5,10,41,8,4,10,11,8,1,18,3,8,3,18,5,8,6,10,2,8,3,10,13,8,2,10,8,8,3,10,9,8,10,18,2,8,4,10,23,8,4,10,12,8,2,10,3,8,3,10,16,8,1,18,4,8,8,10,6,8,5,10,2,8,1,10,2,8,6,10,11,8,5,10,5,8,3,10,24,8,2,10,10,8,5,10,3,8,8,10,6,8,5,10,25,8,1,10,14,8,3,10,8,8,12,10,7,8,7,10,15,4,456,19,5,4,5,18,1,3,2,16,12,17,1,7,3,6,1,17,1,16,4,3,3,18,1,4,25,19,6,4,1,3,1,16,5,17,1,16,1,17,2,6,2,17,2,6,1,7,2,14,2,3,1,18,1,4,22,18,4,4,5,18,2,3,4,18,7,4,6,19,6,4,60,19,10,4,9,10,6,18,1,4,44,18,5,8,3,10,10,8,3,18,1,8,10,7,1,8,2,7,5,14,1,7,8,14,2,7,3,14,3,7,2,8,2,7,2,14,2,7,2,8,1,7,4,14,3,7,7,8,3,7,3,14,1,7,3,8,14,10,3,8,4,10,19,8,2,10,5,8,2,10,16,8,3,10,44,},
{4,1638,19,7,4,3,10,3,18,3,8,1,10,5,8,2,10,5,8,3,10,28,8,1,10,12,8,1,18,2,8,5,18,4,8,5,10,17,8,2,10,10,8,3,10,9,8,14,10,41,8,1,10,3,8,7,10,12,8,2,18,2,8,8,10,9,8,4,10,2,8,1,10,2,8,4,10,6,8,2,10,6,8,5,10,4,8,3,10,23,8,4,10,9,8,4,10,5,8,3,10,10,8,4,10,40,8,3,10,5,8,15,10,8,8,7,10,5,8,1,10,9,4,456,19,6,4,2,18,1,3,1,16,7,17,4,16,1,17,1,16,2,17,1,7,1,8,1,7,2,6,1,16,3,3,5,18,1,4,24,19,6,4,1,18,1,3,1,16,7,17,5,6,1,7,2,14,1,17,1,16,1,3,1,18,1,4,18,18,4,3,4,18,5,3,5,14,1,18,1,14,2,3,2,18,6,4,2,19,5,4,60,19,8,4,6,10,9,8,3,18,1,4,39,18,4,8,7,10,11,8,3,18,2,8,7,7,7,14,4,7,8,6,1,17,1,6,1,7,12,14,1,7,7,14,4,7,9,14,5,7,3,8,5,7,2,8,6,10,3,8,4,10,19,8,2,10,5,8,1,10,17,8,1,10,46,},
{4,1638,19,7,4,6,18,3,8,2,10,3,8,3,10,5,8,3,10,42,8,3,10,3,8,10,10,6,8,4,10,6,8,2,10,22,8,7,10,3,8,3,10,43,8,1,10,3,8,7,10,8,8,9,10,3,8,2,10,12,8,3,10,5,8,2,10,7,8,3,10,6,8,12,10,23,8,5,10,8,8,6,10,16,8,4,10,38,8,4,10,6,8,14,10,8,8,9,10,2,8,4,10,8,4,456,19,6,4,1,18,1,3,1,16,8,17,1,6,2,17,4,16,1,17,1,7,1,8,1,7,2,6,1,17,2,14,3,3,3,18,1,4,24,19,6,4,2,3,1,16,9,17,3,6,3,17,1,16,2,3,2,18,1,4,13,18,7,3,15,14,1,18,3,14,1,3,7,18,2,4,2,19,3,4,54,19,1,4,5,19,4,4,3,19,1,4,2,18,2,10,11,8,3,18,5,4,24,18,15,10,5,8,2,10,11,8,3,18,1,15,2,18,1,8,5,7,19,6,1,17,1,6,1,7,13,14,4,7,3,14,4,7,3,14,3,7,2,14,6,7,3,8,14,10,3,8,3,10,19,8,2,10,70,},
{4,1638,19,10,4,4,18,3,8,7,10,4,8,5,10,18,8,2,10,21,8,2,10,5,8,4,10,10,8,1,18,2,8,1,10,7,8,1,10,4,8,2,10,17,8,5,10,22,8,5,10,22,8,13,10,7,8,7,10,20,8,3,10,5,8,1,10,8,8,3,10,6,8,12,10,22,8,7,10,6,8,9,10,10,8,7,10,37,8,5,10,6,8,3,10,1,8,8,10,4,8,3,10,2,8,18,10,7,18,1,4,455,19,5,4,2,3,1,16,8,17,1,6,4,7,2,6,1,17,1,6,1,7,5,14,5,3,4,4,24,19,7,4,2,3,2,16,8,17,5,16,4,3,1,18,2,10,1,4,10,18,9,14,3,3,6,14,7,18,4,14,2,3,6,18,1,4,55,19,5,4,5,19,1,4,8,10,12,8,4,18,6,10,6,4,14,18,3,3,7,18,6,8,1,10,18,8,4,18,1,15,3,8,5,7,27,14,4,7,4,14,2,17,1,14,2,7,2,14,5,7,2,14,12,7,2,8,10,7,2,8,3,10,13,8,9,10,74,},
{4,1640,19,9,4,3,18,3,8,7,10,5,8,4,10,15,8,5,10,29,8,1,10,12,8,3,10,22,8,1,10,10,8,2,10,22,8,7,10,21,8,13,10,8,8,7,10,20,8,3,10,4,8,1,10,9,8,3,10,6,8,10,10,7,8,4,10,11,8,9,10,6,8,9,10,9,8,8,10,36,8,6,10,4,8,4,10,3,8,6,10,5,8,25,10,5,18,1,4,453,19,7,4,2,18,1,3,1,16,6,17,2,6,2,7,6,6,1,7,3,14,4,15,1,14,1,3,4,18,1,4,28,19,5,4,1,3,1,16,9,17,3,16,5,17,1,14,1,18,1,10,1,18,1,4,8,18,2,14,3,18,1,8,4,15,2,14,4,17,3,14,3,7,2,14,2,15,2,8,1,18,1,14,7,3,2,18,1,4,53,19,6,4,11,10,9,8,11,18,1,8,4,10,6,4,13,18,4,3,4,18,4,8,6,10,14,8,9,7,4,8,4,7,15,6,3,7,10,14,3,7,4,14,2,17,1,14,1,7,5,14,3,7,2,14,12,7,3,8,8,7,4,8,2,10,7,8,1,10,4,8,11,10,31,8,2,10,40,},
{4,1642,19,8,4,3,18,1,8,2,18,1,8,4,10,1,8,1,10,11,8,2,10,11,8,4,10,16,8,3,10,24,8,1,10,23,8,1,10,31,8,7,10,24,8,9,10,11,8,5,10,22,8,3,10,3,8,3,10,11,8,1,10,7,8,8,10,8,8,4,10,10,8,10,10,5,8,6,18,2,8,2,10,8,8,9,10,35,8,7,10,4,8,3,10,5,8,5,10,4,8,12,10,1,8,13,10,5,18,1,4,10,19,3,4,440,19,5,4,4,18,1,14,1,16,7,14,2,7,4,8,1,7,3,6,1,17,1,16,3,3,1,14,1,3,6,18,1,4,28,19,5,4,1,18,1,16,9,17,1,16,8,17,1,14,1,18,1,10,1,4,3,18,2,4,2,18,3,7,4,8,3,7,5,14,2,6,1,17,1,14,2,7,8,8,2,7,4,14,1,7,2,14,1,3,2,18,2,4,51,19,5,4,10,10,3,8,3,10,6,8,3,10,3,8,4,10,1,8,5,10,6,4,2,18,20,8,3,10,2,8,3,10,10,8,3,10,2,8,8,7,4,8,4,7,36,14,3,7,1,8,4,7,7,14,11,7,13,8,4,10,5,8,1,10,4,8,11,10,32,8,2,10,40,},
{4,1644,19,6,4,4,10,1,8,5,10,2,8,2,10,9,8,2,10,19,8,1,10,8,8,8,10,4,8,7,10,66,8,5,10,23,8,3,10,2,8,8,10,9,8,6,10,14,8,4,10,5,8,4,10,3,8,6,10,17,8,4,10,14,8,3,10,2,8,2,10,4,8,5,10,2,8,3,10,5,8,9,10,7,8,1,10,1,8,8,10,31,8,11,10,5,8,3,10,6,8,4,10,2,8,13,10,3,8,7,15,1,8,4,10,5,4,10,19,5,4,439,19,4,4,2,18,2,10,2,8,1,14,1,16,6,14,2,7,5,8,1,7,2,6,1,16,10,3,2,4,29,19,6,18,1,16,7,17,2,16,5,17,3,16,2,3,1,18,2,10,1,18,2,3,2,18,4,8,4,7,2,14,6,7,8,8,6,7,3,8,3,7,3,18,3,3,2,18,1,4,51,19,2,4,6,18,1,10,7,8,1,18,4,8,3,10,9,8,3,10,3,8,4,10,7,18,15,8,8,10,3,8,3,10,10,8,3,10,3,8,3,10,2,8,2,7,4,8,5,7,9,6,1,7,25,14,1,7,2,8,6,7,2,8,4,7,3,14,10,7,6,14,1,7,2,8,10,10,4,8,5,10,4,8,3,10,75,},
{4,1644,19,7,4,3,10,2,8,4,10,2,8,2,10,3,8,3,10,23,8,2,10,6,8,11,10,2,8,9,10,60,8,9,10,5,8,1,10,17,8,5,10,3,8,6,10,8,8,7,10,5,8,1,10,8,8,4,10,5,8,4,10,3,8,2,10,3,8,1,10,36,8,7,10,3,8,10,10,4,8,9,10,6,8,11,10,31,8,5,10,1,8,6,10,5,8,3,10,8,8,1,10,3,8,13,10,2,8,9,15,1,7,1,8,3,10,5,4,9,19,6,4,438,19,4,4,1,3,2,14,1,8,3,14,1,16,7,17,3,6,2,7,3,6,1,17,1,16,8,3,3,18,1,4,29,19,6,18,1,16,6,17,2,16,6,17,1,7,1,6,1,16,3,3,7,18,4,8,4,7,2,14,6,7,8,8,5,7,4,8,8,18,4,4,43,19,4,4,8,18,2,4,1,18,2,10,6,8,1,18,2,14,2,18,1,8,3,10,9,8,3,10,5,8,3,10,5,8,10,10,17,8,4,10,8,8,4,10,3,8,8,7,2,8,4,7,9,6,2,7,18,8,3,7,8,8,2,10,1,8,11,7,1,14,9,7,7,14,2,7,1,8,11,10,2,8,5,10,83,},
{4,1645,19,8,4,2,10,2,8,7,10,2,8,5,10,23,8,1,10,7,8,4,10,2,8,4,10,2,8,10,10,3,8,7,10,49,8,8,10,4,8,2,18,3,8,2,10,11,8,4,10,6,8,5,10,9,8,12,10,10,8,2,10,5,8,6,10,16,8,3,10,9,8,2,10,9,8,12,10,4,8,16,10,3,8,1,10,8,8,11,10,7,8,1,10,30,8,5,10,5,8,3,10,12,8,24,7,3,15,1,8,2,10,4,4,8,19,8,4,439,3,5,14,1,7,1,14,1,16,13,17,4,16,10,3,2,18,1,4,32,19,4,18,1,16,5,17,2,16,7,17,1,7,1,6,1,16,5,3,4,18,1,8,2,18,2,15,1,7,8,14,3,7,15,8,12,18,2,4,41,19,6,4,7,18,7,8,14,10,17,8,4,10,2,8,3,10,2,8,3,10,22,8,6,10,5,8,3,10,3,8,13,7,2,14,2,7,6,6,3,7,2,8,2,7,14,8,2,7,8,14,1,7,1,8,13,7,1,14,9,7,5,14,4,7,1,8,14,10,87,},
{4,1647,19,7,4,1,10,4,8,14,10,29,8,3,10,5,8,2,10,2,8,14,18,3,8,5,10,5,8,4,10,1,8,1,10,36,8,5,10,7,8,2,18,2,8,2,10,10,8,5,10,8,8,3,10,5,8,11,10,3,8,1,10,12,8,1,10,5,8,8,10,13,8,6,10,8,8,2,10,8,8,14,10,3,8,10,18,1,8,5,10,11,8,10,10,8,8,3,10,30,8,3,10,7,8,2,10,1,8,2,10,7,8,27,7,2,8,3,10,4,4,8,19,9,4,437,3,1,16,5,17,2,16,27,3,1,18,1,4,4,19,1,4,33,18,1,3,2,17,5,16,4,17,4,6,1,17,1,16,7,14,2,18,1,8,2,18,1,15,1,7,4,8,2,7,21,8,12,18,4,4,39,19,6,4,4,18,6,14,4,18,2,8,8,10,22,8,3,10,1,8,4,10,3,8,1,10,6,8,5,10,14,8,4,10,5,8,3,10,3,8,13,7,1,14,1,17,2,14,1,7,5,6,2,7,2,8,3,7,20,14,2,7,2,14,2,7,4,8,3,10,2,8,4,7,2,14,7,7,4,14,6,7,1,8,8,10,2,8,3,10,88,},
{4,1648,19,6,4,3,10,3,8,13,10,23,8,8,10,7,8,1,10,2,8,6,10,4,8,4,18,3,8,5,10,2,8,4,18,2,8,3,10,35,8,5,10,9,8,3,10,3,8,3,10,5,8,6,10,8,8,3,10,5,8,6,10,2,8,2,10,15,8,4,10,4,8,8,10,13,8,6,10,3,8,2,10,3,8,1,10,10,8,10,10,1,8,13,18,4,8,4,10,9,8,13,10,40,8,4,10,5,8,2,10,5,8,25,7,2,8,10,10,5,4,8,19,9,4,434,19,1,4,1,18,1,3,1,16,33,3,1,18,1,4,5,19,1,4,34,18,1,3,1,16,3,17,9,16,8,14,4,18,1,8,1,10,1,8,1,18,1,7,3,8,5,7,18,8,12,18,5,4,39,19,6,4,2,18,6,14,3,3,1,14,2,18,1,8,2,10,2,8,5,10,16,8,2,10,19,8,10,10,12,8,4,10,12,8,12,7,1,14,1,17,3,6,1,7,1,6,1,7,7,8,1,7,3,6,2,7,14,14,5,7,1,14,5,7,1,8,2,10,3,8,2,7,1,8,2,15,1,7,2,15,1,7,6,14,7,7,2,8,8,10,2,8,3,10,88,},
{4,1649,19,6,4,5,10,1,8,12,10,23,8,7,10,12,8,3,10,7,8,4,18,1,8,6,10,1,8,4,18,4,8,4,10,15,8,4,10,14,8,4,10,14,8,4,10,4,8,8,10,8,8,2,10,6,8,6,10,18,8,5,10,6,8,5,10,9,8,3,10,3,8,5,10,2,8,4,10,2,8,1,10,10,8,10,10,1,8,12,18,4,8,6,10,6,8,17,10,40,8,4,10,2,8,1,10,1,8,2,10,4,8,24,7,3,8,8,10,7,4,8,19,8,4,432,19,4,4,1,18,1,3,1,16,32,3,1,18,1,4,41,18,1,14,1,17,1,16,2,17,5,16,11,17,1,14,4,18,1,8,1,10,1,8,3,7,1,8,7,7,13,8,15,7,1,18,2,3,1,18,2,4,32,19,5,4,2,19,5,4,2,18,7,14,5,18,1,8,1,10,5,8,4,10,15,8,3,10,19,8,10,10,9,8,5,10,10,8,1,10,4,8,11,7,1,14,1,17,3,6,2,7,12,6,3,7,5,14,1,7,6,14,5,7,4,14,3,7,1,8,1,10,3,8,2,7,2,8,2,15,2,8,5,7,2,14,6,7,2,8,8,10,5,8,1,10,89,},
{4,1652,19,6,4,2,10,2,8,11,10,23,8,6,10,23,8,10,10,2,8,5,18,5,8,3,10,6,8,3,10,4,8,6,10,12,8,4,10,13,8,3,10,5,8,8,10,4,8,4,10,2,8,2,10,5,8,3,18,1,8,3,10,18,8,3,10,9,8,4,10,8,8,5,10,2,8,5,10,2,8,8,10,9,8,1,10,2,8,6,10,3,8,13,18,2,8,6,10,5,8,19,10,42,8,2,10,5,8,1,10,2,8,25,7,7,8,3,10,7,18,1,4,8,19,8,4,431,19,6,4,1,3,1,16,32,3,1,18,1,4,41,18,1,14,1,17,1,16,2,17,3,16,13,17,1,14,3,15,1,8,1,10,2,8,11,7,13,8,14,7,2,14,2,18,3,4,3,19,3,4,25,19,6,4,2,19,2,4,5,18,3,8,2,18,3,14,3,18,1,8,2,10,6,8,3,10,16,8,2,10,9,8,2,10,7,8,11,10,6,8,10,10,6,8,5,10,2,8,11,7,3,14,2,7,15,6,2,7,5,14,2,7,2,14,7,7,2,8,2,7,1,14,3,7,1,8,10,15,1,8,7,7,1,14,6,7,1,8,8,10,96,},
{4,1652,19,6,4,3,10,8,8,4,10,24,8,4,10,24,8,8,10,5,8,6,18,3,8,3,10,5,8,5,10,2,8,3,18,3,8,2,10,26,8,3,10,4,8,10,10,4,8,10,10,3,8,8,10,18,8,2,10,22,8,4,10,4,8,4,10,1,8,10,10,5,8,3,10,4,8,1,10,5,8,1,10,3,8,14,10,2,8,4,10,4,8,2,18,1,8,11,10,3,8,1,10,44,8,1,10,5,8,1,10,2,8,26,7,6,8,3,10,6,18,2,4,9,19,7,4,431,19,6,4,1,3,1,16,8,17,2,16,22,3,1,10,1,4,41,18,2,17,1,16,17,17,2,14,2,7,1,8,2,10,2,8,8,7,15,8,16,7,2,18,3,4,3,19,4,4,25,19,6,4,6,18,4,8,12,10,6,8,4,10,27,8,2,10,6,8,12,10,5,8,12,10,5,8,9,18,2,7,1,8,8,7,5,8,2,7,12,14,1,7,5,14,2,7,1,14,1,17,2,14,4,7,1,8,5,7,4,8,10,15,3,8,2,10,1,8,2,7,1,14,4,7,1,8,9,10,42,8,2,10,53,},
{4,1652,19,6,4,6,10,6,8,4,10,51,8,4,10,14,8,6,10,6,8,10,18,4,8,2,10,25,8,1,10,4,8,11,10,5,8,20,10,9,8,3,10,7,8,1,10,8,8,1,10,15,8,1,10,6,8,4,10,2,8,9,10,4,8,5,10,9,8,2,10,1,8,14,10,4,8,4,10,2,8,14,10,55,8,1,10,3,8,9,10,2,8,14,7,6,8,3,10,6,18,3,4,8,19,7,4,431,19,6,4,1,3,1,16,8,17,1,16,6,17,1,16,16,3,1,10,3,4,40,18,1,17,1,16,13,17,6,14,2,15,1,8,1,10,3,8,7,7,16,8,3,10,1,8,14,18,1,8,1,18,1,4,2,19,6,4,12,19,2,4,10,19,5,4,5,18,4,8,1,10,4,8,1,18,2,8,3,10,6,8,8,10,26,8,2,10,6,8,2,10,4,8,7,10,3,8,15,10,3,8,8,18,2,14,1,7,1,8,15,7,3,8,2,7,7,14,1,7,5,14,4,17,2,14,4,7,1,8,11,15,2,8,6,15,1,14,1,15,2,8,4,14,4,7,1,8,10,10,41,8,3,10,53,},
{4,1653,19,4,4,8,10,5,8,5,10,42,8,1,10,1,8,1,10,6,8,2,10,16,8,3,10,8,8,11,18,4,8,1,10,28,8,2,18,3,8,9,10,5,8,17,10,10,8,4,10,10,8,2,10,3,8,3,10,21,8,3,10,3,8,9,10,2,8,8,10,1,8,2,10,5,8,17,10,3,8,21,10,61,8,6,10,3,8,15,7,3,8,5,10,7,18,2,4,9,19,5,4,432,19,5,4,1,18,1,16,14,17,4,16,14,3,1,18,1,10,3,4,31,19,5,4,3,10,1,18,1,16,13,17,1,7,2,14,5,15,1,8,1,10,4,8,1,15,1,8,4,7,1,14,6,7,10,8,2,10,3,8,16,4,2,19,6,4,12,19,5,4,7,19,4,4,5,18,2,8,3,10,4,8,2,18,1,8,2,10,6,8,8,10,34,8,5,10,3,8,7,10,4,8,9,10,2,8,3,10,3,8,8,18,1,14,2,7,1,8,15,7,3,8,2,7,7,6,2,7,2,14,6,17,1,14,4,7,1,8,2,10,2,8,12,10,3,8,1,15,1,14,2,15,1,8,4,14,4,8,3,10,3,8,4,10,42,8,3,10,53,},
{4,1665,10,4,8,8,10,39,8,3,10,6,8,3,10,3,8,4,10,21,8,11,18,2,8,2,10,24,8,3,18,1,14,3,18,1,8,12,10,6,8,12,10,12,8,3,10,11,8,3,10,2,8,3,10,21,8,3,10,3,8,3,10,2,8,3,10,2,8,13,10,5,8,3,15,1,18,1,8,3,10,3,8,19,10,1,8,8,10,7,8,3,10,11,8,1,10,28,8,3,10,9,8,6,10,3,8,23,10,8,4,10,19,5,4,431,19,6,4,1,3,1,16,4,17,1,16,7,17,1,16,2,17,3,16,14,3,1,18,1,4,1,10,1,4,31,19,7,4,2,10,1,14,1,16,13,6,1,14,6,8,2,10,4,8,2,7,1,8,3,15,1,14,8,7,4,8,7,10,2,8,16,18,1,4,3,19,5,4,12,19,8,4,12,18,1,8,2,10,6,8,3,18,1,8,3,10,5,8,2,18,3,8,3,10,14,8,3,10,6,8,1,10,10,8,6,10,2,8,7,10,5,8,6,10,5,8,3,10,2,8,8,18,1,14,2,8,9,10,1,8,6,7,3,8,1,7,7,14,1,17,2,6,1,14,3,17,4,14,3,7,2,8,7,15,1,8,3,10,2,8,4,10,3,8,1,15,1,14,3,15,1,8,2,15,1,14,3,7,1,8,1,10,6,8,2,10,43,8,3,10,53,},
{4,1665,10,5,8,10,10,45,8,9,10,24,8,4,10,4,8,4,10,23,8,2,18,1,14,6,18,1,8,4,10,17,8,9,10,13,8,1,10,7,8,2,10,3,8,3,10,2,8,2,10,27,8,9,10,2,8,4,18,1,8,11,10,1,8,3,15,3,8,2,10,5,8,15,10,4,8,8,10,6,8,7,10,6,8,3,10,28,8,5,10,7,8,6,10,4,8,19,10,1,8,3,10,7,4,12,19,2,4,431,19,7,4,1,3,1,16,3,14,2,16,2,17,2,16,2,17,3,16,1,17,2,6,1,17,2,16,11,3,1,18,2,4,33,19,7,4,2,18,1,14,1,16,10,17,2,14,2,7,1,14,2,18,1,8,2,10,6,8,2,7,1,15,3,14,6,7,3,8,21,10,4,8,3,18,3,4,3,19,3,4,13,19,8,4,7,18,4,10,1,8,2,10,7,8,20,10,12,8,5,10,4,8,3,10,6,8,1,10,2,8,17,10,4,8,6,10,5,8,13,18,1,14,2,8,15,7,12,14,1,17,8,16,1,17,1,14,3,7,1,8,4,10,1,8,3,15,1,8,3,10,3,8,2,10,4,8,1,15,1,14,4,15,2,14,4,8,2,10,1,8,1,10,49,8,3,10,3,8,2,10,48,},
{4,1665,9,1,8,1,10,4,8,9,10,33,8,1,10,11,8,8,10,58,8,3,7,1,14,7,18,1,8,4,10,17,8,3,10,4,8,3,10,20,8,2,10,8,8,1,10,17,8,4,10,6,8,16,18,1,8,15,15,1,8,4,10,4,8,17,10,2,8,9,10,5,8,5,10,40,8,5,10,7,8,5,10,6,8,17,10,2,8,4,10,3,8,2,10,1,4,445,19,6,4,2,3,1,16,2,3,1,14,2,16,2,17,1,7,3,6,1,17,4,6,1,7,3,17,1,16,10,3,1,10,3,4,32,19,7,4,1,18,1,14,1,16,9,17,2,6,1,14,1,7,2,8,1,15,2,8,2,10,6,8,4,15,1,14,7,7,2,8,7,10,1,8,14,10,5,8,3,18,4,4,16,19,10,4,5,18,4,8,1,10,3,8,1,10,7,8,21,10,12,8,6,10,1,8,5,10,4,8,22,10,3,8,6,10,4,8,14,18,1,14,1,18,1,8,15,7,12,14,1,6,2,14,5,17,1,16,1,17,1,14,3,7,1,8,1,10,5,8,10,10,4,8,2,15,2,14,9,8,5,10,47,8,3,10,3,8,3,10,48,},
{4,1665,10,1,8,1,10,8,8,5,10,46,8,7,10,51,8,8,18,1,7,2,14,6,18,2,8,2,10,19,8,3,10,4,8,5,10,5,8,2,10,10,8,3,10,25,8,6,10,5,8,3,18,1,8,33,10,4,8,17,10,2,8,8,10,6,8,4,10,40,8,6,10,8,8,3,10,8,8,16,10,1,8,5,10,6,4,445,19,6,4,1,18,1,3,1,16,2,14,3,16,2,6,1,7,3,17,4,6,1,7,4,17,1,16,8,3,2,18,1,10,1,4,34,19,6,4,1,18,1,3,1,16,7,17,3,6,1,7,3,8,6,10,6,8,6,14,5,15,2,8,8,10,2,8,13,10,6,8,2,18,1,14,1,18,3,4,16,19,9,4,5,18,1,8,1,10,8,8,1,10,11,8,9,10,4,8,3,10,4,8,1,10,8,8,11,10,3,8,32,10,3,8,32,7,15,14,7,17,2,14,2,7,1,8,1,10,6,8,4,15,1,7,1,14,1,7,1,15,1,8,1,10,3,8,2,15,1,8,2,15,1,14,7,15,1,8,5,10,46,8,2,10,5,8,3,10,48,},
{4,1665,18,1,8,2,10,8,8,4,10,46,8,6,10,12,8,2,10,35,8,11,18,1,7,1,8,11,10,19,8,3,10,4,8,6,10,3,8,3,10,10,8,3,10,25,8,6,10,4,8,3,15,8,8,18,15,2,8,12,10,1,8,26,10,3,8,5,10,42,8,5,10,20,8,22,10,5,4,445,19,5,4,2,3,1,16,3,17,1,14,2,16,2,17,1,6,2,17,1,16,2,17,1,14,2,7,1,15,2,14,1,16,7,3,3,18,1,4,7,19,4,4,22,19,5,4,3,18,1,3,2,16,7,17,2,6,2,14,1,7,2,15,1,8,1,10,2,8,2,10,6,8,4,10,2,8,1,18,1,15,5,8,9,10,2,8,11,10,7,8,3,18,5,4,3,19,4,4,9,19,7,4,6,18,1,8,1,10,9,8,2,10,11,8,7,10,5,8,3,10,3,8,5,10,5,8,11,10,3,8,6,10,2,8,8,10,3,8,37,7,3,8,8,7,16,14,6,17,1,14,2,7,2,8,1,10,5,8,5,15,1,14,4,8,2,10,2,8,1,15,2,8,3,15,2,14,4,15,1,8,6,10,53,8,3,10,48,},
{4,1665,18,1,10,1,9,1,8,1,10,7,8,4,10,47,8,4,10,45,8,7,18,4,8,6,7,1,8,11,10,10,8,4,10,5,8,1,10,5,8,13,10,11,8,1,10,26,8,5,10,5,8,3,15,9,8,11,10,1,8,19,10,2,8,33,10,39,8,2,10,27,8,21,10,4,4,446,19,5,4,1,3,1,16,4,17,8,16,3,14,2,15,2,14,2,16,6,3,2,18,2,10,2,4,6,19,5,4,21,19,4,4,4,18,1,3,1,16,7,17,1,6,4,14,1,7,2,8,3,10,8,8,6,10,2,8,15,10,4,8,10,10,5,8,7,18,4,4,1,19,6,4,8,19,5,4,5,18,3,10,26,8,6,10,5,8,2,10,4,8,4,10,5,8,11,10,2,8,8,10,2,8,7,10,2,8,37,7,1,14,3,7,11,14,3,7,5,14,1,7,3,14,9,7,1,8,2,10,4,8,6,15,1,14,2,17,1,14,2,8,2,10,2,8,6,15,2,14,1,15,3,8,6,10,6,8,1,10,47,8,3,10,48,},
{4,1666,18,2,10,1,18,1,4,1,10,4,8,8,10,46,8,3,10,43,8,4,18,7,8,20,10,1,8,14,10,7,8,7,10,2,8,6,10,3,8,4,10,8,8,2,10,7,8,1,10,8,8,2,10,4,8,3,10,6,8,8,15,2,8,8,10,8,8,17,10,1,8,8,18,2,8,2,10,4,8,18,10,38,8,4,10,26,8,22,10,2,4,447,19,4,4,1,18,1,3,1,16,2,3,2,17,1,16,2,17,3,16,4,14,2,15,2,14,2,16,6,3,1,18,1,4,3,10,3,4,5,19,5,4,21,19,5,4,1,18,1,3,2,16,8,17,1,6,3,7,3,8,2,10,8,8,1,18,2,8,1,10,2,8,2,10,4,8,14,10,4,8,4,18,1,8,4,10,5,8,7,18,4,4,2,19,5,4,9,19,3,4,2,18,2,10,12,8,3,10,5,8,8,10,4,8,3,18,1,8,4,10,16,8,13,10,1,8,9,10,1,8,11,18,1,8,34,14,4,7,9,14,3,6,1,14,1,7,4,14,5,17,1,16,2,17,1,14,3,7,1,8,3,10,5,8,1,7,1,14,1,7,1,15,1,14,6,8,7,10,1,8,4,15,1,14,1,15,2,8,6,10,5,8,4,10,46,8,3,10,48,},
{4,1674,10,1,8,8,10,19,8,2,10,66,8,4,10,1,8,5,18,5,8,24,18,1,8,11,10,1,8,1,10,4,8,7,10,3,8,5,10,4,8,4,10,8,8,2,10,6,8,3,10,11,8,4,10,8,8,15,10,1,8,4,10,5,8,25,7,1,8,3,10,5,8,17,10,39,8,4,10,30,8,18,10,1,4,449,19,1,4,2,18,1,3,1,16,3,3,1,14,1,17,1,16,9,14,4,3,1,16,5,3,1,18,2,4,4,10,2,4,6,19,5,4,22,19,3,4,1,18,1,3,1,16,10,17,1,14,4,7,2,8,8,10,1,8,1,18,3,8,1,10,3,8,2,10,5,8,3,15,1,7,2,8,5,10,4,8,4,18,2,8,4,10,4,8,10,18,3,4,2,19,3,4,14,18,2,10,10,8,6,10,3,8,10,10,3,8,3,18,3,8,4,10,7,8,31,10,1,8,11,18,1,8,33,7,1,14,12,6,1,17,1,6,2,17,1,6,1,7,4,14,1,6,1,14,3,17,1,16,2,17,2,14,2,7,1,8,2,10,6,8,1,7,1,14,1,15,2,14,5,8,7,10,1,8,2,15,2,8,10,10,6,8,4,10,97,},
{4,1674,10,1,8,2,18,2,8,3,10,2,8,5,10,13,8,3,10,20,8,1,10,29,8,3,10,6,8,4,10,3,8,4,10,1,8,5,18,1,14,1,18,2,8,34,10,3,8,1,10,3,8,8,10,2,8,6,10,5,8,4,10,7,8,2,10,5,8,9,10,5,8,5,10,8,8,6,10,3,8,4,10,3,8,8,10,2,8,19,10,1,8,6,10,3,8,3,10,2,8,2,10,1,8,7,10,2,8,4,10,38,8,5,10,6,8,1,10,24,8,4,10,1,8,9,18,4,4,451,18,1,3,1,16,3,17,1,14,2,17,1,16,8,3,3,16,4,3,3,18,1,4,16,19,4,4,23,18,2,3,1,16,11,17,1,14,8,15,4,14,1,15,2,14,2,18,1,8,5,10,2,8,3,10,3,8,2,14,3,8,2,10,7,8,3,14,2,7,1,18,1,8,3,10,3,8,4,18,4,8,7,18,1,4,18,18,1,10,9,8,28,18,3,8,4,10,4,8,72,7,3,8,3,7,1,14,1,6,1,17,3,6,1,14,1,6,1,17,10,6,1,14,1,7,2,14,1,6,1,17,1,6,4,17,2,16,1,17,1,14,3,15,1,8,2,10,4,8,3,15,1,8,2,15,1,14,1,15,1,8,10,15,1,14,3,8,6,10,2,8,2,10,6,8,2,10,99,},
{4,1675,18,4,8,2,10,3,8,5,10,4,8,3,10,6,8,3,10,12,8,6,10,21,8,1,10,10,8,4,10,5,8,4,10,3,8,4,10,4,8,2,18,3,8,2,10,2,8,7,10,4,8,12,10,4,8,1,10,1,8,1,10,2,8,4,10,2,8,7,10,3,8,6,10,5,8,4,10,15,8,8,10,5,8,3,10,10,8,5,10,4,8,4,10,3,8,9,10,1,8,12,10,1,8,6,10,1,8,6,10,3,8,4,10,1,8,1,10,3,8,6,10,3,8,2,10,8,8,3,10,28,8,6,10,4,8,3,10,24,8,2,10,3,8,7,18,4,4,450,18,2,3,1,16,3,17,1,14,3,17,2,16,8,3,1,16,4,3,2,18,1,4,18,19,1,4,1,19,2,4,21,18,2,14,1,16,12,14,19,15,1,8,15,14,3,8,2,10,6,8,2,14,5,8,10,18,2,8,2,18,1,8,7,18,2,8,2,10,3,8,1,18,8,10,7,8,7,18,2,15,2,8,3,15,2,14,1,18,2,8,22,10,3,8,64,10,1,8,8,7,3,8,3,14,1,17,18,6,2,14,3,6,4,14,4,17,2,14,4,8,2,10,4,8,9,10,3,8,7,14,4,7,1,8,3,10,10,8,1,10,102,},
{4,1670,19,3,4,4,18,2,8,2,10,3,8,5,10,4,8,2,10,8,8,1,10,13,8,6,10,32,8,4,10,6,8,3,10,3,8,11,18,1,8,2,10,3,8,2,18,1,8,3,10,5,8,12,10,6,8,7,10,3,8,6,10,4,8,5,10,5,8,3,10,18,8,7,10,5,8,1,10,7,8,2,10,3,8,5,10,3,8,5,10,2,8,36,10,3,8,4,10,1,8,10,10,13,8,4,10,21,8,4,10,1,8,14,10,24,8,3,10,1,8,8,18,5,4,448,18,1,3,2,16,1,3,1,17,3,14,4,17,2,16,10,3,2,18,1,4,19,19,5,4,13,18,2,4,6,18,1,3,1,16,11,3,1,14,19,7,1,8,4,15,1,8,15,10,6,8,2,18,1,14,4,18,1,8,19,18,4,8,3,10,3,8,1,18,8,10,3,8,3,18,3,14,5,15,9,8,25,10,2,8,75,7,2,8,2,7,1,14,1,17,13,6,2,17,4,6,2,14,5,7,4,14,7,8,2,10,3,8,8,10,6,8,4,15,2,14,1,7,2,8,7,10,111,},
{4,1670,19,4,4,4,18,1,8,9,10,6,8,1,10,17,8,1,10,5,8,5,10,32,8,3,10,9,8,1,10,1,8,15,10,4,8,2,18,2,8,1,10,7,8,9,10,7,8,8,10,3,8,6,10,5,8,5,10,3,8,3,10,20,8,6,10,13,8,2,10,5,8,48,10,4,8,3,10,1,8,10,10,10,8,2,10,3,8,4,10,20,8,4,10,2,8,1,10,1,8,1,10,3,8,6,10,25,8,12,18,5,4,447,18,1,3,2,16,2,14,2,17,9,16,7,3,3,18,1,4,19,19,6,4,13,18,2,4,3,18,2,3,1,16,7,17,1,14,1,17,1,16,3,14,19,15,2,8,3,15,3,8,13,10,4,8,4,7,1,14,5,8,14,10,3,8,3,18,4,8,3,10,3,8,1,18,4,8,9,18,3,3,5,14,3,15,2,14,3,15,1,8,13,10,5,8,24,7,1,8,45,18,1,8,17,7,1,14,1,17,1,16,1,17,12,6,3,17,4,6,1,7,10,14,6,8,2,10,1,8,3,15,1,8,3,15,2,8,1,10,3,8,6,14,3,15,1,8,3,7,1,14,2,7,1,8,2,10,111,},
{4,1670,19,6,4,2,18,1,8,7,10,26,8,1,10,5,8,4,10,33,8,1,10,12,8,15,10,5,8,2,18,1,8,2,10,7,8,8,10,5,8,10,10,5,8,6,10,5,8,9,10,22,8,5,10,4,8,2,10,6,8,2,10,7,8,7,18,1,15,1,8,36,10,5,8,4,10,1,8,8,10,11,8,3,10,5,8,3,10,10,8,3,10,49,8,12,18,5,4,445,18,1,3,3,16,2,17,3,16,2,17,7,16,6,3,2,18,2,4,39,18,1,10,2,18,1,3,3,16,8,17,1,14,2,17,3,14,6,17,1,14,12,15,1,8,3,15,1,14,3,15,1,8,10,10,5,8,4,18,1,14,6,8,11,10,2,8,2,10,1,8,2,18,1,8,2,18,2,8,3,10,4,8,1,18,3,8,1,10,2,8,5,18,1,8,4,18,1,14,1,3,4,14,2,15,2,14,3,15,1,8,13,10,6,8,23,7,2,8,42,18,4,8,15,7,2,14,1,17,1,16,2,17,3,6,4,17,6,14,1,6,1,17,3,6,1,7,10,14,6,8,5,15,2,8,3,15,2,8,4,15,1,14,1,15,3,14,4,15,1,8,1,10,1,8,1,7,1,14,3,8,2,10,24,8,3,10,84,},
{4,1670,19,7,4,2,10,2,8,5,10,32,8,2,10,9,8,1,10,23,8,2,10,13,8,3,10,2,8,10,10,5,8,13,10,4,8,3,10,4,8,9,10,7,8,5,10,7,8,8,10,9,8,1,10,13,8,3,10,3,8,5,10,13,8,6,18,1,15,1,14,2,15,1,8,34,10,5,8,5,10,2,8,6,10,5,8,3,10,3,8,4,10,6,8,6,10,6,8,4,10,37,8,5,10,4,8,5,18,1,8,8,18,4,4,444,18,1,3,2,16,3,17,1,14,1,17,1,16,4,17,7,16,5,3,1,18,2,4,21,19,1,4,19,10,1,18,1,14,1,16,12,17,2,14,10,17,1,14,12,15,1,8,1,15,2,14,5,15,1,8,7,10,6,8,4,18,1,14,5,18,1,8,10,10,4,8,5,18,1,8,6,10,5,8,4,10,4,8,3,18,1,8,1,10,5,8,1,18,1,3,3,14,2,15,2,14,3,8,14,10,5,8,23,7,3,8,43,18,1,8,4,18,1,8,12,7,1,14,1,17,2,16,1,17,4,6,1,14,1,6,1,17,7,7,2,14,1,17,1,6,1,14,1,7,10,14,6,15,1,8,9,14,2,15,1,8,1,15,1,14,7,17,1,14,2,15,1,8,3,7,1,14,2,7,1,8,3,10,1,8,1,10,20,8,5,10,83,},
{4,1670,19,7,4,4,18,3,8,2,10,2,8,3,10,5,8,2,10,30,8,1,18,1,8,2,10,20,8,3,10,5,8,3,10,4,8,4,10,3,8,9,10,4,8,14,10,4,8,3,10,3,8,9,10,8,8,4,10,8,8,8,10,8,8,3,10,5,8,2,10,7,8,1,10,3,8,6,10,11,8,7,15,1,14,3,15,1,8,5,10,3,8,26,10,4,8,6,10,2,8,6,10,4,8,5,10,3,8,3,10,6,8,7,10,5,8,4,10,36,8,6,10,4,8,4,18,2,8,5,10,4,4,445,18,1,3,3,16,2,3,2,14,2,17,1,16,4,17,6,16,5,3,1,18,1,4,41,10,1,18,1,3,2,16,10,17,2,16,3,17,1,14,23,15,1,14,4,15,2,14,1,15,1,8,3,10,2,8,1,10,6,8,5,7,1,14,2,7,1,8,12,10,4,8,5,18,2,8,13,18,1,8,2,10,2,8,1,18,3,8,1,10,2,8,4,10,1,8,1,18,1,14,4,15,1,18,1,15,1,14,1,15,1,8,14,10,4,8,23,7,4,8,61,7,1,14,1,17,16,6,1,7,3,14,2,7,9,14,8,15,4,8,5,15,1,14,2,15,3,14,9,15,1,8,4,7,3,8,7,10,19,8,5,10,83,},
{4,1670,19,7,4,5,18,3,8,7,10,4,8,3,10,22,8,1,10,6,8,2,18,1,8,1,10,20,8,3,10,4,8,6,10,2,8,4,10,3,8,9,10,4,8,14,10,4,8,3,10,2,8,10,10,8,8,3,10,10,8,7,10,8,8,3,10,4,8,5,10,8,8,3,18,2,8,2,10,10,8,8,18,1,15,4,8,6,10,4,8,24,10,4,8,2,18,1,8,3,10,1,8,7,10,3,8,6,10,3,8,3,10,8,8,5,10,5,8,4,10,33,8,9,10,3,8,10,10,6,4,444,18,1,3,2,16,3,3,1,14,4,16,4,17,1,6,1,14,1,6,1,17,2,16,5,17,1,18,1,4,22,19,2,4,6,19,1,4,8,10,2,18,1,3,2,16,10,17,1,6,1,14,2,17,4,14,17,15,1,14,10,15,1,8,1,15,2,8,3,10,7,8,7,18,1,14,1,18,1,8,1,10,4,8,6,10,5,8,21,18,1,8,1,18,1,8,2,18,2,14,1,18,1,10,2,8,5,10,2,8,1,18,1,14,2,15,2,18,1,8,44,7,3,8,62,7,1,14,1,17,14,6,2,7,4,14,2,7,4,14,1,6,6,14,4,15,2,14,3,8,2,10,2,8,1,15,1,14,2,15,1,8,3,15,3,14,5,15,1,8,2,7,1,14,1,7,1,8,11,10,17,8,6,10,83,},
{4,1671,19,9,4,2,18,4,8,5,10,5,8,3,10,21,8,4,10,2,8,1,10,1,8,5,10,20,8,1,10,4,8,2,18,3,8,8,10,3,8,17,10,1,8,8,10,5,8,9,10,4,8,3,10,4,8,5,10,11,8,6,10,9,8,2,10,5,8,6,10,6,8,3,18,1,15,2,8,2,10,6,8,1,10,2,8,1,10,1,8,18,10,4,8,5,10,6,8,13,10,3,8,2,18,1,7,1,8,3,10,1,8,2,18,1,8,13,10,4,8,2,10,11,8,2,10,5,8,3,10,6,8,2,10,12,8,6,10,8,8,8,10,4,8,8,10,8,4,442,18,1,3,3,16,1,3,3,14,1,7,2,14,1,17,1,16,3,17,1,6,4,17,2,16,5,14,1,18,1,4,20,19,11,4,5,10,1,8,2,10,2,3,1,16,12,17,2,14,9,15,3,14,10,15,2,14,9,15,1,8,8,10,4,8,9,18,1,8,2,10,5,8,5,10,5,8,8,10,4,8,10,18,4,14,3,18,1,8,1,10,1,8,5,10,3,8,2,18,1,15,4,8,14,10,1,8,29,7,1,8,63,7,1,14,2,17,12,14,2,7,5,14,1,6,2,14,1,7,2,14,1,6,2,17,1,6,4,14,4,7,1,15,1,14,1,7,2,8,1,10,3,8,1,15,1,14,2,15,1,8,4,10,1,8,2,14,3,15,1,8,3,14,2,8,3,10,1,8,1,10,4,8,3,10,7,8,3,10,7,8,8,10,81,},
{4,1675,19,6,4,2,18,3,8,5,10,5,8,4,10,20,8,2,10,8,8,1,10,16,8,1,10,9,8,1,18,1,14,1,18,4,8,7,10,3,8,16,10,3,8,7,10,5,8,8,10,5,8,4,10,2,8,7,10,7,8,1,10,2,8,1,10,14,8,2,10,5,8,7,10,6,8,3,15,2,18,1,8,2,10,4,8,4,10,5,8,16,10,3,8,4,10,7,8,13,10,3,8,2,18,1,7,1,8,6,18,1,8,11,10,8,8,6,10,5,8,1,10,15,8,2,10,11,8,8,10,7,8,8,10,3,8,7,10,9,4,441,18,1,3,2,16,2,3,2,14,4,7,1,14,1,17,2,16,1,17,2,6,3,17,2,16,6,17,1,7,1,18,1,4,18,19,14,4,4,10,3,18,1,3,1,16,10,17,5,6,1,14,1,7,4,14,2,15,1,8,1,15,3,14,13,17,1,14,5,15,1,8,6,10,1,8,2,10,4,8,11,10,2,8,1,10,2,8,2,18,1,8,2,10,5,8,8,10,3,8,1,10,2,8,7,10,1,8,1,18,1,14,1,3,3,14,2,8,1,10,2,8,2,10,4,8,6,18,1,15,2,8,14,10,1,8,27,7,3,8,55,7,2,8,5,7,2,14,1,17,5,6,6,14,3,7,5,14,1,6,1,17,1,6,1,14,3,6,5,14,6,7,1,15,5,8,1,10,3,8,1,15,1,14,2,15,1,8,1,10,5,8,1,14,3,8,1,10,1,8,1,15,1,14,1,7,1,8,1,10,13,8,9,10,1,8,1,10,1,8,11,10,81,},
{4,1676,19,5,4,4,18,2,8,3,10,5,8,1,10,1,8,4,10,45,8,2,10,9,8,1,18,1,14,2,18,3,8,6,10,4,8,16,10,3,8,7,10,5,8,8,10,4,8,5,10,2,8,7,10,33,8,7,10,6,8,2,18,1,15,1,18,1,8,4,10,1,8,4,10,6,8,6,10,1,8,9,10,4,8,3,10,6,8,14,10,3,8,2,18,2,8,16,10,10,8,5,10,5,8,2,10,31,8,5,10,7,8,8,10,3,8,7,10,8,4,441,18,1,3,2,16,2,3,3,14,4,17,3,16,1,17,3,6,1,17,2,16,9,7,1,18,1,4,19,19,14,4,3,10,1,18,2,3,1,16,11,17,4,6,1,14,1,7,7,8,2,15,2,14,17,15,3,8,6,10,2,8,2,10,4,8,11,10,5,8,1,18,2,8,1,10,6,8,4,10,2,8,2,10,2,8,2,10,3,8,5,10,2,8,1,18,1,3,5,18,1,10,7,8,2,18,3,8,4,18,1,8,30,10,2,8,10,7,3,8,55,7,4,8,3,7,2,14,2,17,5,6,1,14,2,7,8,14,3,6,1,17,2,6,2,14,2,6,2,14,2,7,5,14,2,7,2,15,2,8,3,10,3,8,1,15,1,14,2,8,2,10,1,8,2,10,1,8,2,14,2,15,1,8,2,14,2,7,1,8,2,10,3,8,2,10,7,8,16,10,31,8,1,10,57,},
{4,1676,19,7,4,4,18,1,10,7,8,1,10,2,8,4,10,43,8,1,10,11,8,1,14,2,18,1,8,8,10,5,8,4,10,5,8,7,10,3,8,6,10,9,8,3,10,4,8,6,10,3,8,7,10,33,8,8,10,6,8,2,18,1,15,1,18,1,8,8,10,6,8,5,10,2,8,9,10,4,8,4,10,2,8,17,10,2,8,16,18,2,8,1,10,5,8,1,10,7,8,3,10,6,8,1,10,23,8,3,10,6,8,4,10,8,8,17,10,9,4,440,18,1,3,2,16,2,3,3,14,3,17,1,16,6,17,3,16,11,14,1,18,1,4,33,18,1,4,1,10,1,18,1,3,2,16,7,17,2,16,3,17,2,6,2,7,5,8,5,15,3,14,16,15,1,8,9,10,8,8,10,10,5,8,1,18,3,8,1,10,5,8,5,10,2,8,7,10,2,8,5,10,2,8,1,14,1,3,1,16,2,3,1,14,1,8,1,10,5,8,3,18,5,8,45,7,4,8,54,7,1,14,2,7,3,8,1,7,2,14,2,17,6,14,1,7,9,6,1,17,6,6,2,14,4,7,12,15,1,8,7,15,2,8,8,15,3,8,3,14,2,8,1,10,5,8,3,10,5,8,18,10,30,8,1,10,57,},
{4,1677,19,8,4,3,10,6,8,2,10,2,8,5,10,30,8,2,10,22,8,1,14,2,8,7,10,8,8,2,10,6,8,7,10,2,8,7,10,15,8,7,10,3,8,7,10,3,8,6,10,26,8,6,10,6,8,2,18,1,15,2,18,1,8,7,10,6,8,5,10,2,8,9,10,4,8,1,10,1,8,14,10,2,8,4,10,2,8,17,18,2,8,1,10,21,8,2,10,20,8,8,10,4,8,3,10,10,8,16,10,9,4,438,18,1,3,4,16,1,3,2,14,3,17,2,16,21,14,1,18,1,4,32,18,2,8,1,18,1,3,2,16,6,17,1,14,1,17,2,16,3,17,2,14,1,7,7,8,4,15,3,14,15,15,1,8,10,10,7,8,11,10,4,8,2,18,3,8,1,10,4,8,5,10,3,8,7,10,2,8,5,10,1,8,2,14,1,3,1,16,2,3,1,14,1,8,1,10,2,8,7,18,3,15,1,8,6,7,2,8,38,7,3,8,8,7,2,8,44,7,2,14,1,7,3,8,1,7,2,14,4,17,4,14,1,7,8,14,1,17,1,16,2,17,1,6,1,17,1,6,2,14,4,7,4,8,1,7,9,8,4,7,1,15,3,8,5,15,5,8,4,14,1,3,1,14,1,8,1,10,4,8,4,10,4,8,19,10,88,},
{4,1679,19,7,4,3,10,4,8,3,10,2,8,5,10,10,8,1,10,36,8,2,10,5,8,1,18,2,8,1,10,3,8,2,10,17,8,15,10,4,8,3,10,9,8,6,10,4,8,5,10,8,8,4,10,25,8,7,10,6,8,1,18,1,14,2,15,1,8,5,10,1,8,1,10,4,8,7,10,3,8,9,10,2,8,15,10,5,8,2,10,3,8,15,10,1,8,1,18,2,8,1,10,9,8,3,10,9,8,2,10,19,8,2,18,4,8,4,10,1,8,6,10,13,8,12,10,8,4,438,18,1,3,5,14,6,17,1,16,17,17,1,16,4,17,1,18,1,4,32,10,1,8,1,18,1,3,1,16,7,14,3,17,2,16,2,17,2,6,1,14,1,7,3,8,7,15,4,14,13,15,2,8,11,10,5,8,12,10,4,8,3,18,2,8,2,10,4,8,5,10,1,8,18,18,1,14,1,3,2,14,2,8,12,18,1,8,7,7,2,8,39,7,3,8,7,7,4,8,43,7,9,14,5,17,2,6,1,14,2,7,7,14,1,17,4,14,1,6,1,14,3,6,2,14,1,7,2,8,3,7,3,14,2,7,1,14,2,7,4,14,4,15,1,8,1,10,1,8,2,14,4,15,1,8,4,14,4,8,1,10,4,8,3,10,4,8,21,10,87,},
{4,1680,19,6,4,4,10,3,8,2,10,4,8,5,10,3,8,10,10,33,8,3,10,4,8,3,10,22,8,10,10,10,8,4,10,9,8,6,10,3,8,5,10,11,8,2,10,8,8,2,10,14,8,8,10,5,8,1,18,1,14,2,18,1,8,4,10,2,8,11,10,4,8,9,10,2,8,13,10,7,8,1,10,3,8,6,10,2,8,10,18,2,10,10,8,4,10,14,8,1,10,13,8,2,18,5,8,13,10,12,8,9,10,9,4,438,18,1,3,6,14,7,17,1,16,1,17,1,16,13,6,1,14,1,17,1,16,4,18,1,4,32,8,1,10,1,3,1,16,7,17,1,14,2,17,5,6,1,14,1,7,5,8,6,14,1,15,2,8,1,15,1,14,5,15,3,14,5,15,1,8,2,15,2,8,7,10,5,8,2,18,1,7,2,18,1,8,6,10,5,8,6,10,4,8,13,10,1,8,3,18,2,8,6,14,2,3,1,14,1,18,1,8,11,18,1,8,50,7,3,8,7,7,4,8,44,7,4,8,2,7,3,14,9,6,1,17,1,6,2,14,2,7,2,14,1,17,2,14,6,6,3,7,3,8,1,7,2,14,4,7,1,14,7,17,1,14,2,8,4,14,3,15,3,8,3,14,1,3,2,14,1,8,2,10,10,8,23,10,6,8,4,10,76,},
{4,1680,19,6,4,9,10,3,8,6,10,1,8,14,10,23,8,1,10,7,8,2,10,5,8,2,10,23,8,10,10,10,8,4,10,10,8,4,10,4,8,2,10,14,8,3,10,6,8,3,10,14,8,8,10,5,8,1,18,1,15,2,18,1,8,3,10,3,8,3,18,2,8,6,10,6,8,1,10,1,8,3,18,1,8,16,10,5,8,2,10,3,8,3,18,1,8,3,10,2,8,1,10,2,8,9,10,6,8,2,10,2,8,5,10,13,8,2,10,11,8,3,18,4,8,3,10,1,8,10,10,12,8,9,10,9,4,437,18,1,3,6,14,9,17,4,16,8,17,2,14,1,7,2,14,1,17,1,16,3,3,1,4,32,10,1,18,1,16,7,14,2,17,3,14,4,7,7,8,5,14,2,15,1,8,1,15,3,14,4,15,5,14,3,15,5,8,4,15,1,8,2,10,5,8,3,18,1,8,7,10,6,8,4,10,5,8,17,18,1,7,1,8,7,14,3,7,1,8,1,10,2,8,71,7,3,8,10,7,1,8,28,10,1,8,5,7,4,8,1,7,4,14,6,6,1,17,5,6,1,14,1,7,3,14,2,7,3,14,3,6,2,14,1,7,6,14,15,8,3,15,1,14,3,15,2,8,4,14,3,8,1,10,11,8,24,10,6,8,5,10,4,8,1,10,70,},
{4,1696,10,1,8,7,10,1,8,11,10,11,8,1,10,17,8,1,10,27,8,2,10,9,8,8,10,9,8,3,10,30,8,1,10,4,8,6,10,4,8,1,10,15,8,10,10,3,8,2,18,4,8,3,10,3,8,3,18,2,8,2,10,3,8,1,10,8,8,2,18,1,14,2,8,2,10,2,8,7,10,3,8,18,10,1,8,13,10,6,8,2,10,2,8,5,10,13,8,3,10,9,8,10,10,2,8,9,10,14,8,12,10,5,4,437,18,1,3,5,14,9,7,1,14,2,6,1,17,3,16,2,17,3,14,3,7,1,15,2,14,2,16,3,3,1,18,1,4,27,10,2,8,1,10,1,3,1,16,7,3,1,14,1,3,4,14,3,15,4,8,7,15,2,14,1,15,1,8,2,15,1,14,1,15,4,14,3,15,1,8,2,14,3,15,1,14,2,15,1,8,2,15,1,14,3,15,1,8,2,10,4,8,9,10,7,8,4,10,5,8,3,18,1,8,2,10,1,8,14,10,2,8,3,7,3,8,3,10,2,8,82,7,4,8,33,7,9,14,1,7,2,14,2,6,1,17,6,14,2,7,8,14,4,7,8,14,3,7,2,14,8,7,1,8,4,7,1,14,2,15,9,8,2,10,4,8,5,10,1,8,21,10,10,8,2,18,3,8,1,10,2,8,4,10,68,},
{4,1696,10,1,8,15,10,4,8,1,10,11,8,2,10,15,8,1,10,5,8,1,10,19,8,3,10,5,8,2,10,5,8,5,10,10,8,1,10,25,8,1,10,6,8,1,10,3,8,2,10,1,8,4,10,4,8,1,10,14,8,23,10,4,8,6,10,1,8,4,10,7,8,2,18,1,14,2,15,1,8,1,10,2,8,7,10,3,8,17,10,1,8,11,10,1,8,1,10,1,8,1,10,5,8,9,10,7,8,3,10,5,8,3,10,6,8,9,10,4,8,10,10,13,8,13,10,4,4,436,18,2,3,3,18,3,14,6,7,6,14,1,6,4,14,4,7,2,15,3,14,3,17,1,16,1,3,2,18,1,4,23,10,1,8,2,10,1,18,2,3,1,16,6,14,5,3,1,14,4,18,1,8,9,15,2,14,3,15,1,8,1,15,1,14,3,15,1,8,1,15,1,14,3,15,1,8,2,15,1,14,5,15,1,8,1,15,2,14,2,15,1,8,4,10,3,8,2,10,5,8,2,10,4,8,1,10,2,8,3,10,5,8,3,18,2,8,2,10,2,8,12,10,4,8,2,7,1,18,1,8,86,7,6,8,33,7,5,8,1,7,6,14,4,6,1,17,3,14,4,7,2,14,1,7,4,14,4,7,5,14,2,7,4,14,9,7,1,8,4,7,1,14,2,15,2,8,3,15,1,18,1,8,3,10,6,8,20,7,1,8,5,10,11,8,2,18,1,14,1,18,1,8,2,10,1,8,1,18,1,8,3,10,67,},
{4,1697,8,15,10,4,8,5,10,8,8,1,10,39,8,2,10,16,8,3,10,10,8,1,10,37,8,2,10,2,8,2,10,10,8,2,10,7,8,10,10,3,8,11,10,5,8,7,18,2,8,2,10,6,8,2,18,1,14,2,18,1,8,11,10,3,8,15,10,1,8,5,10,1,8,10,10,5,8,8,10,6,8,5,10,5,8,3,10,6,8,2,18,1,8,5,10,5,8,11,10,8,8,16,10,5,4,434,18,9,8,2,7,22,15,1,8,1,15,1,14,5,3,3,18,1,4,1,8,1,9,1,8,1,4,18,8,3,4,1,3,2,16,6,17,1,14,10,15,1,8,8,15,9,14,4,15,1,14,3,15,4,14,7,15,1,14,4,8,1,10,3,8,7,10,4,8,3,10,4,8,3,10,5,8,4,18,3,8,2,10,1,8,13,10,3,8,91,7,4,8,37,7,2,8,3,7,8,14,20,7,5,14,2,7,4,14,8,7,2,8,2,7,2,14,3,15,2,8,8,10,1,8,1,10,6,8,24,10,11,8,2,14,3,18,1,8,3,18,1,8,2,10,68,},
{4,1697,10,1,8,2,18,2,8,10,10,3,8,8,10,42,8,3,10,19,8,2,10,7,8,3,10,43,8,1,10,11,8,2,10,6,8,9,10,6,8,11,10,6,8,3,18,1,14,3,15,1,8,1,10,6,8,2,18,2,15,1,18,1,8,12,10,2,8,10,18,1,8,3,10,3,8,4,10,2,8,8,10,6,8,3,18,1,8,3,10,5,8,4,18,2,8,1,10,5,8,3,10,5,8,8,10,7,8,13,10,5,8,6,10,9,8,1,10,5,4,433,18,9,8,7,7,11,8,2,7,5,15,4,14,4,3,4,18,1,10,2,8,2,10,2,4,11,10,1,4,1,10,2,8,1,10,1,18,1,3,2,16,7,14,2,15,4,18,3,14,1,18,2,8,7,15,8,14,9,15,3,14,13,15,1,8,1,10,2,8,2,15,1,8,2,7,2,8,2,10,3,8,4,10,2,8,4,10,4,8,3,18,2,8,14,10,6,8,14,18,3,8,68,7,11,8,8,18,3,8,5,7,3,8,20,7,1,8,5,7,7,14,10,17,2,14,6,7,6,14,2,7,3,14,1,6,1,17,5,14,2,7,1,8,2,7,1,14,4,15,2,8,13,10,5,8,25,10,8,8,2,18,5,8,3,18,1,8,2,10,68,},
{4,1698,18,7,8,18,10,57,8,1,10,5,8,4,10,5,8,4,10,42,8,1,10,12,8,1,10,6,8,10,10,6,8,6,10,3,8,3,10,5,8,3,14,5,8,3,10,3,8,4,18,3,8,13,10,2,8,8,18,1,8,4,10,2,8,5,10,3,8,5,10,9,8,2,18,1,8,3,10,4,8,4,18,3,8,2,10,3,8,5,10,3,8,2,18,1,8,5,10,8,8,14,10,5,8,4,10,10,8,1,10,5,4,432,18,6,8,26,7,1,14,2,15,4,14,5,3,4,18,1,10,2,8,5,10,1,4,3,10,2,8,5,10,2,18,1,3,2,16,8,14,4,15,2,18,1,8,2,18,4,8,6,18,1,15,3,14,1,15,3,14,3,15,2,14,4,15,4,14,5,15,1,14,7,15,1,8,3,15,1,14,2,7,1,8,1,7,3,8,2,10,1,8,6,10,1,8,4,10,4,8,2,18,2,8,12,10,8,8,7,10,2,8,77,7,10,8,8,7,1,18,2,7,1,8,5,7,2,8,21,7,2,8,4,7,6,14,13,6,1,14,5,7,6,14,2,7,1,14,2,17,6,6,1,14,1,7,2,8,2,7,1,14,3,7,1,15,1,8,6,10,3,8,3,10,6,8,28,10,5,8,3,18,4,8,8,10,67,},
{4,1699,18,9,8,20,10,6,8,5,10,39,8,14,10,1,8,6,10,61,8,9,10,8,8,5,10,4,8,3,10,5,8,3,14,5,18,1,8,2,10,2,8,35,10,3,8,5,10,4,8,4,10,6,8,5,18,1,8,3,10,3,8,4,18,2,14,1,18,1,8,14,18,3,8,4,10,8,8,14,10,6,8,4,10,15,4,431,18,2,3,3,18,2,8,26,7,1,14,4,15,1,14,6,3,3,16,1,3,2,18,1,10,1,8,3,10,2,18,2,10,2,8,5,10,1,8,1,18,1,3,1,16,8,17,1,14,7,18,1,8,2,18,4,8,6,18,2,15,2,14,7,15,3,14,3,15,3,14,5,15,3,14,5,15,2,8,1,15,1,14,4,7,1,8,1,7,1,14,1,7,1,8,13,10,4,8,2,18,2,8,12,10,8,8,5,10,7,8,75,7,7,8,12,18,3,8,28,7,4,8,3,7,2,14,22,7,7,14,3,17,6,6,1,14,1,7,3,8,2,7,1,14,2,7,2,8,4,15,1,8,2,10,3,8,2,10,5,8,32,10,2,8,16,10,67,},
{4,1701,18,6,8,12,10,1,8,1,10,1,8,6,10,7,8,4,10,22,8,2,10,14,8,22,10,28,8,1,10,32,8,7,10,10,8,5,10,4,8,11,18,1,14,3,15,1,18,1,8,1,10,3,8,12,10,1,8,22,10,3,8,6,10,3,8,3,10,6,8,9,10,4,8,3,18,5,8,13,18,4,8,4,10,6,8,16,10,6,8,8,10,11,4,429,18,5,3,3,18,2,8,24,7,2,14,10,15,1,18,1,3,2,16,3,3,1,18,1,10,2,18,5,10,6,18,3,3,2,16,5,3,1,17,1,14,9,18,1,8,3,18,3,8,2,18,1,8,4,18,1,15,2,14,7,8,2,15,1,14,10,15,3,14,4,15,5,14,5,7,3,14,2,7,1,8,12,10,4,8,16,10,6,8,7,10,8,8,74,7,6,8,13,18,1,8,30,7,5,8,2,7,2,14,13,7,3,14,6,7,2,8,2,7,3,14,2,17,6,14,1,7,11,8,3,15,3,8,2,10,2,8,3,10,5,8,3,18,3,8,21,18,2,8,21,10,67,},
{4,1697,19,1,4,7,18,3,8,19,10,9,8,3,10,21,8,3,10,15,8,21,10,7,8,1,10,19,8,2,10,32,8,3,10,14,8,5,10,4,8,18,10,3,8,5,10,3,8,3,10,2,8,21,10,3,8,8,10,2,8,4,10,4,8,8,10,5,8,4,18,3,8,3,10,1,8,5,10,2,8,4,18,3,8,5,10,2,8,21,10,3,8,12,10,9,4,428,18,1,3,2,18,8,8,24,7,2,14,10,15,1,10,1,8,1,3,1,16,3,3,2,18,3,3,2,18,3,10,3,18,3,3,3,16,4,3,2,14,11,18,1,8,6,18,5,8,4,15,1,14,6,15,1,8,1,15,2,14,9,15,1,8,1,15,1,14,4,15,3,8,1,15,2,14,2,17,1,14,3,7,1,14,3,7,1,8,11,10,3,8,7,10,2,8,9,10,4,8,8,10,13,8,70,7,6,8,21,10,5,8,18,7,2,14,1,7,3,8,2,7,1,14,13,7,4,14,2,7,1,14,2,7,3,8,1,7,3,14,1,6,1,17,1,6,2,17,2,6,1,7,13,15,2,14,2,15,1,8,2,10,2,8,3,10,3,8,2,18,3,8,19,10,1,8,4,18,2,7,2,8,13,10,1,8,5,10,67,},
{4,1696,19,6,4,4,18,3,8,15,10,21,8,1,10,14,8,3,10,17,8,10,10,1,8,16,10,19,8,2,10,49,8,5,10,4,8,18,10,3,8,2,18,1,8,2,10,3,8,3,10,2,8,19,10,3,8,16,10,3,8,4,18,2,8,1,10,6,8,10,10,3,8,2,10,5,8,49,10,9,4,427,18,1,3,3,18,2,8,1,18,3,8,11,10,2,8,14,7,1,14,10,8,1,10,2,18,1,3,1,16,2,3,8,18,3,8,2,18,2,3,2,16,4,17,1,14,5,15,1,14,8,18,1,8,2,10,2,8,2,18,5,8,4,15,1,14,5,15,4,14,6,17,2,14,2,8,2,15,1,14,5,15,4,14,2,17,2,14,3,6,1,14,1,7,3,8,10,10,2,8,7,10,4,8,10,10,2,8,4,18,1,14,1,18,1,8,1,10,14,8,70,7,5,8,4,7,1,8,17,10,4,8,19,7,2,14,2,7,2,8,2,7,2,14,13,7,3,14,1,7,1,14,4,7,5,14,2,17,1,14,1,7,3,14,1,7,3,8,1,7,3,14,1,7,5,14,5,15,1,8,1,10,3,8,1,18,1,8,2,10,1,8,1,18,4,8,7,15,1,7,1,8,18,7,3,8,11,10,2,8,5,10,67,},
{4,1696,19,7,4,3,18,4,8,14,10,26,8,3,10,28,8,7,10,10,8,8,10,10,8,6,10,16,8,2,10,12,8,1,10,25,8,5,10,3,8,8,10,2,8,4,10,2,8,1,10,4,8,5,10,3,8,24,10,3,8,4,10,3,8,15,18,3,8,1,10,4,8,6,18,1,8,5,10,3,8,2,10,5,8,23,18,1,8,26,10,8,4,426,18,1,3,3,18,2,8,16,10,1,8,16,7,4,14,6,8,1,10,2,8,1,15,1,14,3,18,1,14,2,3,4,18,7,3,2,16,3,17,1,14,1,7,4,15,2,14,5,15,2,8,3,10,3,8,3,18,3,8,4,15,1,14,5,15,1,8,1,15,2,14,10,15,3,14,12,17,1,16,4,17,1,14,1,7,1,8,12,10,2,8,6,10,5,8,4,10,8,8,4,18,1,14,1,18,1,8,1,10,7,8,9,18,5,8,63,7,3,8,6,7,2,8,14,10,3,8,23,7,2,14,1,7,2,8,3,7,4,14,11,7,2,14,1,7,2,14,5,7,3,14,3,7,1,8,2,7,8,14,2,7,2,8,2,7,1,14,5,15,1,8,1,10,2,8,2,18,2,8,2,18,3,8,1,9,1,10,5,8,1,15,1,14,2,15,1,7,3,8,14,7,3,8,11,10,2,8,4,10,68,},
{4,1696,19,8,4,4,18,3,8,12,10,6,8,1,10,19,8,5,10,29,8,2,10,14,8,7,10,10,8,6,10,2,8,1,10,13,8,3,10,11,8,2,10,24,8,5,10,3,8,5,10,6,8,3,10,4,8,7,10,4,8,5,18,4,8,9,18,2,8,3,10,4,8,4,10,3,8,14,18,4,8,2,10,2,8,4,18,2,7,1,18,1,8,5,10,3,8,1,10,6,8,35,10,1,8,15,10,1,8,1,10,5,4,425,18,1,3,4,18,3,8,33,7,6,14,1,7,2,8,2,10,1,8,7,18,5,3,2,18,5,14,1,3,1,16,3,14,2,7,4,15,2,14,4,15,1,8,5,10,3,8,3,18,1,8,6,15,1,14,4,8,3,15,1,14,4,15,3,14,19,16,6,14,1,7,1,8,12,10,2,8,6,10,5,8,2,10,10,8,5,18,1,8,2,10,1,8,14,18,6,8,27,7,1,8,45,7,1,8,35,7,1,8,5,7,5,8,4,7,4,14,5,17,1,14,4,7,5,14,9,7,2,8,2,7,2,14,1,7,5,14,2,7,2,8,3,15,1,14,4,15,1,8,1,10,2,8,1,18,1,14,1,18,1,8,2,18,2,9,1,10,7,8,1,14,4,7,4,8,13,7,3,8,4,10,1,8,6,10,2,8,4,10,68,},
{4,1696,19,9,4,5,18,1,8,10,10,6,8,1,10,20,8,8,10,21,8,2,10,1,8,1,10,20,8,1,10,14,8,6,10,2,8,2,10,12,8,4,10,10,8,2,10,24,8,5,10,4,8,1,10,2,8,1,10,6,8,2,10,5,8,7,10,4,8,2,18,7,8,10,18,1,8,3,10,3,8,5,10,3,8,14,18,4,8,2,10,1,8,4,18,2,7,3,8,5,10,3,8,1,10,6,8,33,10,3,8,18,10,4,4,425,18,1,3,2,18,5,8,3,10,2,8,33,7,4,8,1,7,1,8,3,10,1,8,6,10,1,8,1,18,7,14,1,3,4,14,4,7,3,14,5,15,1,8,19,14,4,15,1,8,2,15,1,14,4,15,1,8,3,15,2,14,12,16,2,17,1,14,2,17,1,16,5,14,1,8,20,10,5,8,2,10,12,8,20,18,7,8,53,7,1,8,55,7,3,8,4,7,1,14,2,7,4,8,2,7,6,14,3,17,1,14,5,7,4,14,6,7,4,8,3,7,1,14,1,6,2,7,8,8,4,15,1,14,3,15,1,8,5,18,1,8,2,10,10,8,1,15,1,14,5,7,3,8,19,10,3,8,4,10,3,8,4,10,68,},
{4,1698,19,9,4,3,10,1,8,8,10,6,8,4,10,18,8,10,10,1,8,1,10,5,8,3,10,9,8,5,10,36,8,4,10,3,8,2,10,11,8,5,10,37,8,3,10,8,8,1,10,6,8,2,10,5,8,6,10,5,8,2,18,2,14,2,15,1,18,1,8,23,10,3,8,5,10,4,8,5,18,2,8,8,18,3,7,1,8,11,10,6,8,32,10,4,8,1,10,5,8,13,10,3,4,424,18,7,8,11,7,1,8,12,10,6,8,11,7,6,15,1,8,2,15,1,14,3,18,1,8,1,10,3,8,2,10,1,8,1,18,1,3,4,14,13,18,1,8,19,18,1,15,1,14,2,18,1,8,3,15,1,14,3,15,1,8,4,15,2,14,11,17,1,16,3,14,3,16,5,7,1,8,3,7,4,8,13,10,4,8,3,10,12,8,20,18,2,8,9,10,2,8,6,10,1,8,39,7,2,8,55,7,3,8,3,7,2,14,2,7,2,14,1,7,10,14,8,7,4,14,4,7,5,8,4,7,1,6,1,17,2,14,1,7,6,8,6,14,4,15,1,8,6,10,11,8,1,15,1,14,5,7,3,8,18,10,6,8,1,10,4,8,1,18,1,8,1,10,69,},
{4,1702,19,6,4,2,10,3,8,6,10,6,8,5,10,17,8,12,10,17,8,5,10,36,8,4,10,3,8,1,10,11,8,6,10,3,8,2,10,32,8,3,10,8,8,1,10,6,8,2,10,4,8,2,18,2,8,3,10,3,8,5,18,1,15,2,18,1,8,12,10,4,8,15,10,5,8,3,18,3,8,18,10,1,8,5,10,4,8,40,10,3,8,14,10,3,4,423,18,7,8,12,7,1,8,12,10,8,8,9,7,4,14,6,16,2,3,1,14,1,8,1,10,6,8,1,18,1,3,3,14,3,7,3,14,1,6,2,14,4,7,1,18,1,8,11,15,2,8,13,18,1,14,1,15,2,8,4,15,2,14,14,16,3,14,3,17,1,16,3,17,1,14,1,7,3,14,3,7,2,8,11,10,6,8,2,10,11,8,5,10,1,8,26,10,2,8,6,10,2,8,38,7,2,8,55,7,3,8,2,7,1,14,9,7,5,8,2,7,2,14,7,7,3,14,4,7,2,8,2,7,8,6,2,14,1,7,5,8,6,15,1,14,4,15,1,8,3,10,12,9,1,18,1,14,7,7,4,8,13,10,12,8,3,18,2,8,1,10,69,},
{4,1702,19,6,4,2,18,1,4,1,10,3,8,5,10,6,8,5,10,15,8,4,10,5,8,6,10,15,8,4,10,10,8,1,10,6,8,2,10,12,8,2,10,4,8,4,10,3,8,1,10,11,8,2,10,7,8,3,10,32,8,1,10,9,8,2,10,5,8,1,10,5,8,2,18,3,8,1,10,3,8,6,18,3,8,11,10,6,8,5,10,2,8,5,10,8,8,2,18,5,8,13,10,5,8,2,18,1,8,1,10,4,8,41,10,3,8,11,10,6,4,423,18,4,8,2,18,1,8,15,10,3,8,7,10,8,8,9,7,4,14,5,16,3,3,1,14,1,8,1,10,6,8,1,18,1,14,1,3,2,14,3,7,3,14,1,6,2,17,1,14,3,7,1,8,4,7,2,8,6,15,2,8,5,15,1,18,1,8,5,18,1,14,1,15,2,8,1,9,2,8,1,15,1,14,2,17,2,14,9,7,2,14,2,16,2,14,4,17,1,16,2,17,1,14,1,7,1,14,1,17,3,14,1,7,1,8,4,7,1,8,7,10,7,8,3,10,7,8,7,10,1,8,33,10,3,8,38,7,3,8,54,7,6,14,1,17,3,14,2,17,2,14,3,7,3,8,3,7,1,14,7,7,2,14,5,7,1,8,4,7,1,14,2,7,11,8,3,7,4,14,3,7,1,15,1,18,2,10,5,18,1,4,7,18,2,14,3,15,3,14,2,7,4,8,5,10,20,8,2,18,1,14,2,8,1,10,69,},
{4,1703,19,5,4,11,18,1,10,5,8,4,10,17,8,3,10,6,8,8,10,13,8,3,10,11,8,2,10,3,8,5,10,6,8,7,10,3,8,5,10,3,8,1,10,11,8,2,10,8,8,2,10,42,8,2,10,10,8,2,18,2,8,3,10,2,8,20,10,6,8,6,10,2,8,5,10,2,8,2,10,3,8,3,18,1,14,1,18,2,8,4,10,2,8,7,10,6,8,2,18,1,8,2,10,2,8,9,18,3,8,31,10,2,8,10,10,7,4,422,18,4,10,2,8,17,10,3,8,7,10,8,8,4,7,1,8,4,7,4,14,4,17,1,16,4,3,1,14,1,8,1,10,4,8,1,18,2,14,6,15,1,7,2,14,6,18,2,8,3,18,3,8,12,15,2,7,1,8,5,18,1,14,1,15,1,8,4,15,1,14,1,16,4,17,1,14,2,15,2,14,4,7,1,15,1,14,2,17,1,16,1,17,1,14,3,17,4,6,1,17,2,16,2,17,1,14,1,7,1,8,12,10,15,8,128,7,2,8,10,7,6,14,2,17,1,14,3,17,1,16,1,17,2,14,2,7,2,8,4,7,2,14,9,17,2,14,1,7,1,8,4,7,2,14,2,7,15,14,1,7,1,14,5,15,1,18,2,4,14,18,2,14,1,15,3,7,8,8,4,10,15,8,6,18,1,14,3,8,1,10,69,},
{4,1711,19,5,4,4,18,7,8,1,10,10,8,2,10,2,8,1,10,10,8,15,10,21,8,6,10,4,8,3,10,5,8,14,10,8,8,1,10,6,8,4,10,39,8,1,10,7,8,4,10,10,8,6,10,3,8,21,10,5,8,3,10,3,8,18,18,3,8,5,10,3,8,11,10,1,8,17,7,2,8,31,10,3,8,6,10,3,8,2,10,5,4,413,18,2,4,6,18,4,8,2,10,1,8,2,10,3,8,8,10,3,8,10,10,7,8,1,10,1,8,9,7,4,14,4,17,1,16,5,14,1,8,1,10,5,18,1,14,2,18,2,15,1,14,10,18,3,8,8,10,4,8,6,7,3,8,9,15,2,7,1,14,1,16,6,14,2,15,1,14,6,7,1,14,1,6,1,17,2,6,1,14,2,17,3,14,2,17,1,16,3,17,1,14,1,7,1,8,13,10,15,8,74,10,1,8,17,7,1,8,21,7,5,8,4,7,9,8,7,7,2,14,2,7,8,14,1,17,4,7,3,8,2,7,2,8,1,7,4,14,1,17,1,6,1,7,1,14,1,17,4,14,1,7,1,8,3,7,18,14,1,6,2,14,7,18,1,4,5,19,8,4,3,10,1,8,2,7,4,8,1,7,7,8,2,10,14,8,3,7,4,14,1,15,1,18,1,8,2,10,69,},
{4,1710,19,8,4,4,18,6,10,6,8,10,10,5,8,1,10,1,8,17,10,20,8,5,18,1,8,1,10,5,8,3,10,5,8,1,10,3,8,9,10,5,8,5,10,6,8,3,10,38,8,2,10,6,8,4,10,9,8,7,10,4,8,23,10,1,8,5,10,3,8,26,10,2,8,2,18,3,8,54,10,3,8,1,10,4,8,4,10,10,4,413,18,1,10,3,18,6,8,3,10,8,8,7,10,4,8,6,10,11,8,1,10,2,8,7,7,8,14,1,17,1,16,1,17,1,16,4,14,1,8,1,10,4,8,1,14,3,18,2,14,9,15,1,18,2,8,8,10,6,8,3,18,1,8,5,7,2,8,5,7,1,14,1,17,2,16,6,17,1,14,11,6,1,17,1,6,3,17,2,16,2,17,3,16,1,17,1,6,1,14,1,7,1,8,6,10,1,8,5,10,16,8,93,7,1,8,20,7,6,8,4,7,10,8,3,7,4,14,3,7,5,8,2,7,1,14,1,17,3,6,1,7,3,8,2,7,2,8,2,7,4,14,1,17,1,14,1,6,1,17,1,16,2,17,1,7,1,8,3,7,2,14,2,7,12,14,2,6,1,17,2,6,1,7,2,14,5,18,1,4,4,19,10,4,2,10,2,8,1,14,2,7,2,8,2,7,7,8,2,10,13,8,2,14,6,8,4,10,69,},
{4,1710,19,10,4,7,18,1,10,4,8,37,10,18,8,7,10,13,8,1,10,4,8,7,10,8,8,4,10,47,8,2,10,6,8,1,18,1,8,2,10,9,8,7,10,4,8,29,10,2,8,8,10,2,8,14,10,1,8,1,10,2,8,2,18,4,8,10,10,2,8,1,10,1,8,40,10,8,8,5,10,10,4,413,10,4,8,2,18,2,8,2,10,8,8,8,10,5,8,5,10,12,8,1,10,2,8,7,7,8,14,1,17,1,16,1,17,2,16,3,17,1,14,1,8,1,10,3,8,1,14,8,15,7,18,2,8,8,10,5,8,12,7,1,8,3,7,1,14,2,16,8,17,1,14,15,6,1,17,3,16,4,6,1,7,2,8,13,10,17,8,63,7,1,8,4,10,2,8,23,7,1,8,19,7,6,8,5,7,17,14,3,7,5,8,2,7,1,14,1,17,3,14,1,7,3,8,2,7,2,8,3,7,4,14,1,6,1,17,4,14,1,7,1,8,2,7,3,14,5,7,7,14,2,6,1,17,4,14,1,7,4,14,3,18,2,4,3,19,10,4,2,10,2,8,1,14,2,7,2,8,1,7,8,8,5,10,10,8,2,14,6,15,1,8,3,10,45,8,2,10,22,},
{4,1710,19,13,4,6,10,5,8,15,10,6,8,5,10,2,8,10,10,14,8,7,10,20,8,2,10,62,8,4,10,5,8,4,10,3,8,3,10,2,8,19,18,1,15,2,18,2,8,15,10,3,8,9,10,5,8,3,10,2,8,4,10,5,8,3,18,4,8,9,10,4,8,20,18,4,8,18,10,7,8,5,10,10,4,413,10,3,8,4,10,11,8,7,10,5,8,5,10,15,8,3,7,2,8,3,7,3,6,2,7,3,14,1,17,5,16,4,3,1,8,1,10,2,8,1,18,1,14,6,15,1,8,2,15,4,18,3,8,6,10,7,8,12,7,5,14,1,17,1,16,7,14,16,6,1,17,1,16,6,17,1,14,1,8,2,10,3,8,8,10,18,8,58,7,2,8,4,7,1,8,4,10,2,8,23,7,1,8,16,7,7,8,6,7,19,14,1,7,6,8,2,7,2,14,3,7,5,8,1,7,2,8,6,7,2,17,4,14,1,7,2,8,2,7,2,14,1,17,3,14,3,7,6,14,1,17,4,6,2,7,3,8,2,7,1,14,2,3,1,18,1,4,3,19,10,4,2,10,1,8,1,15,1,14,2,7,2,8,1,7,8,8,6,10,8,8,2,18,1,15,1,14,3,15,2,8,4,10,45,8,1,10,23,},
{4,1710,19,17,4,3,10,14,18,3,10,18,8,10,10,12,8,5,10,31,8,3,10,50,8,5,10,4,8,5,10,3,8,24,18,4,8,15,10,3,8,11,10,5,8,2,10,3,8,3,10,5,8,2,18,2,14,1,18,2,8,10,10,1,8,21,7,3,14,1,18,2,8,15,10,10,8,5,10,9,4,385,19,5,4,20,18,3,8,7,10,11,8,5,10,5,8,7,10,13,8,4,7,8,6,1,17,2,6,1,7,3,17,3,14,2,16,5,18,1,10,3,8,1,18,1,14,3,18,1,15,1,8,4,15,3,18,3,8,5,10,8,8,11,7,5,14,2,16,7,17,1,14,16,17,1,16,7,17,1,7,1,8,3,10,1,8,9,10,17,8,58,7,6,8,31,7,4,8,11,7,8,8,6,7,23,8,7,7,12,8,7,7,1,6,1,17,2,14,1,7,3,8,2,7,2,14,1,17,3,14,3,7,5,14,2,17,4,14,1,7,4,8,2,7,1,14,2,18,2,4,4,19,9,4,2,10,1,8,1,14,2,7,3,8,1,7,5,14,2,7,3,14,2,18,1,8,1,10,7,8,4,18,6,8,3,10,19,8,1,10,43,8,1,10,6,},
{4,1711,19,1,4,1,19,15,4,3,10,13,4,1,10,5,9,5,10,13,18,6,8,2,10,23,8,2,10,16,8,9,10,47,8,8,10,3,8,5,10,4,8,3,10,2,8,38,10,1,8,14,10,3,8,4,10,2,8,3,10,4,8,3,18,4,8,33,7,4,18,2,8,14,10,6,8,4,10,3,8,4,10,8,4,384,19,5,4,20,10,1,8,2,18,1,8,6,10,13,8,3,10,6,8,7,10,13,8,3,18,1,14,2,7,6,17,4,6,3,17,3,14,2,16,5,18,1,10,1,8,1,10,1,8,1,18,5,8,14,10,10,8,11,7,4,14,2,17,1,16,5,17,2,14,2,15,1,14,13,17,1,16,7,17,1,14,1,7,1,8,5,10,4,8,4,10,16,8,58,7,3,8,1,7,3,8,30,7,5,8,6,7,12,8,6,7,24,8,7,7,12,8,7,7,1,14,2,7,3,8,3,7,2,14,8,7,5,14,2,17,3,6,1,14,1,7,5,8,1,7,1,14,2,18,2,4,4,19,9,4,2,18,1,15,1,14,1,7,2,8,3,7,5,14,8,8,1,10,7,8,12,10,19,8,2,10,8,8,2,10,40,},
{4,1716,19,12,4,31,18,1,4,10,18,5,8,3,10,21,8,2,10,7,8,2,10,6,8,10,10,46,8,8,10,3,8,6,10,4,8,4,10,1,8,4,10,1,8,3,18,1,8,6,15,2,18,1,8,18,10,2,8,6,10,3,8,7,10,2,8,10,10,2,8,3,18,4,8,3,10,2,8,48,10,2,8,9,10,4,8,7,10,4,4,384,19,5,4,2,10,1,18,4,10,2,18,8,10,5,8,3,10,3,8,2,10,21,8,2,18,2,8,3,10,14,8,3,18,1,14,3,7,4,6,1,17,6,6,2,17,5,16,4,8,1,10,3,8,1,18,2,14,1,18,2,8,13,10,11,8,10,15,1,7,4,14,2,17,1,16,4,17,1,14,4,15,1,14,13,17,1,16,5,17,1,14,2,7,1,8,6,10,5,8,2,10,16,8,60,7,2,8,1,7,3,8,9,7,2,8,4,7,1,8,13,7,6,8,5,7,13,8,5,7,29,8,3,7,2,8,2,7,8,8,7,7,5,8,3,7,4,14,1,7,9,14,5,6,1,14,3,7,7,14,2,18,1,4,4,19,9,4,3,18,1,15,1,14,1,7,1,8,3,7,2,14,1,7,2,14,9,8,1,10,9,8,1,10,4,8,5,10,19,8,2,10,50,},
{4,1716,19,12,4,46,18,2,8,4,10,28,8,3,10,5,8,7,10,14,8,3,10,30,8,9,10,2,8,8,10,4,8,9,10,2,8,8,18,1,14,2,18,1,8,18,10,1,8,6,10,5,8,23,18,4,8,2,10,2,8,48,10,3,8,9,10,4,8,8,10,3,4,384,19,4,4,2,18,1,8,4,10,9,8,2,10,11,8,2,10,10,8,2,10,8,8,2,18,1,14,2,8,3,10,15,8,2,18,1,14,3,7,4,6,1,17,12,16,4,3,1,8,2,10,2,8,1,18,4,8,13,10,12,8,9,15,2,7,1,14,5,17,2,16,2,14,8,15,3,14,3,7,1,14,5,16,6,14,2,7,1,8,7,10,5,8,2,10,15,8,62,7,5,8,7,7,15,8,7,7,5,8,4,7,14,8,4,7,35,8,3,7,3,14,2,7,4,8,7,7,3,8,2,7,3,14,2,7,4,8,3,7,3,14,8,6,4,14,1,7,5,14,1,18,2,4,4,19,8,4,3,18,1,8,6,7,2,14,9,3,2,14,1,8,1,10,16,8,3,10,71,},
{4,1717,19,11,4,40,19,2,4,6,18,3,8,2,10,23,8,2,10,1,8,4,10,4,8,7,10,16,8,1,10,21,8,4,10,4,8,10,10,3,8,6,10,5,8,10,10,2,8,5,10,1,8,2,15,1,14,2,18,1,8,7,18,5,8,14,10,3,8,24,18,2,8,4,10,2,8,8,10,1,8,51,10,4,8,8,10,3,4,384,19,2,4,3,18,2,8,1,10,12,8,2,10,11,8,2,10,9,8,4,10,7,8,2,18,4,8,2,10,15,8,3,7,7,6,1,17,3,6,1,17,8,16,4,3,1,10,4,8,1,18,4,8,12,10,12,8,10,15,2,14,6,17,3,14,9,15,3,14,2,15,2,14,5,17,1,16,4,17,1,14,3,8,2,10,1,8,5,10,4,8,2,10,5,8,73,7,5,8,5,7,17,8,5,7,2,14,1,7,3,8,3,7,14,8,2,7,39,8,1,7,4,14,2,7,3,8,8,7,7,14,4,7,2,8,5,7,2,14,8,6,1,17,3,6,1,7,5,15,1,18,2,4,7,19,5,4,3,10,1,8,3,10,1,8,1,7,2,14,10,3,2,14,1,18,1,10,17,8,1,10,72,},
{4,1768,19,5,4,4,18,3,10,1,8,1,10,21,8,8,10,3,8,3,7,2,8,2,10,37,8,3,18,2,8,15,10,2,8,22,10,2,8,4,10,2,8,2,18,1,14,1,18,1,8,8,18,1,14,2,18,2,8,14,10,2,8,7,10,1,8,15,18,1,8,6,10,2,8,3,18,3,8,55,10,3,8,9,10,3,4,386,18,5,10,26,8,2,10,8,8,5,10,6,8,5,18,2,8,2,10,15,8,3,7,7,6,1,17,1,6,2,7,1,6,1,17,1,16,1,17,3,16,5,3,1,18,1,10,1,18,2,10,2,8,1,18,4,8,11,10,12,8,9,15,3,14,13,15,1,14,4,15,3,14,2,15,2,14,5,17,1,16,3,17,1,14,3,15,1,8,2,10,2,8,5,10,2,8,4,10,2,8,68,7,3,8,3,7,3,8,7,7,6,14,5,7,7,8,4,7,3,14,1,7,2,8,4,7,13,8,3,7,7,8,1,7,17,14,5,6,1,14,5,7,13,8,8,7,5,14,5,7,2,8,6,7,3,14,7,6,1,17,3,14,1,7,3,8,4,18,5,4,3,19,5,4,2,10,6,8,1,7,1,14,6,7,1,15,1,14,3,3,2,14,1,18,1,8,1,10,89,},
{4,1768,19,7,4,6,18,1,8,6,10,14,8,4,10,1,8,3,10,4,8,3,7,2,8,2,10,1,8,2,10,5,8,2,10,20,8,2,10,4,8,3,18,3,8,38,10,3,8,4,10,1,8,3,18,3,8,3,18,2,8,3,18,1,14,2,18,1,8,15,10,1,8,7,10,2,8,14,18,2,8,5,10,2,8,4,18,4,8,20,7,4,8,30,10,3,8,10,10,2,4,385,18,5,8,1,10,2,8,4,10,20,8,2,10,8,8,4,10,4,8,12,10,14,8,4,7,5,14,1,6,1,17,3,7,3,17,1,16,3,17,1,16,5,3,1,18,1,10,1,18,3,9,1,10,1,18,4,8,11,10,11,8,10,15,3,14,10,15,1,14,1,15,1,8,1,15,1,14,2,15,4,14,2,8,1,15,1,14,6,17,3,14,4,18,1,8,2,10,2,8,11,10,1,8,19,10,3,8,45,7,6,8,1,7,5,8,6,7,4,14,3,17,3,14,1,7,6,8,4,7,7,8,3,7,15,8,2,7,6,8,3,7,7,14,6,7,3,14,1,6,1,14,2,6,1,17,1,6,5,14,1,7,11,8,6,7,7,14,6,7,1,8,6,7,5,14,6,6,2,17,1,6,1,14,1,7,2,8,5,18,1,3,5,18,1,4,2,19,4,4,2,10,4,8,3,7,1,14,2,7,5,15,2,14,5,18,1,8,1,10,89,},
{4,1768,19,9,4,5,10,1,8,8,10,11,8,1,10,10,8,7,10,2,8,2,10,6,8,1,10,20,8,3,10,2,8,41,10,7,8,14,18,2,8,2,18,4,8,24,10,2,8,19,10,4,8,6,18,3,8,19,7,3,14,1,7,1,8,40,18,2,10,2,4,384,10,1,18,5,10,2,8,5,10,19,8,3,10,7,8,3,10,4,8,13,10,15,8,4,7,5,6,1,17,4,6,1,7,2,17,1,16,9,3,1,18,1,10,1,9,1,18,2,10,2,18,1,3,2,18,1,8,11,10,10,8,11,15,4,14,4,15,1,7,1,14,2,15,4,8,2,15,2,8,2,15,4,8,2,14,6,17,1,14,2,7,3,8,3,10,3,8,30,10,10,8,13,7,2,8,22,7,2,14,3,7,9,8,6,7,2,14,7,17,1,14,1,7,3,8,4,7,10,8,3,7,24,8,1,7,8,14,2,6,3,14,2,7,1,14,1,6,1,17,1,6,2,17,7,6,1,7,6,8,2,7,2,8,2,7,2,8,1,7,8,14,6,7,2,8,6,7,7,14,4,7,7,8,2,10,2,8,1,15,1,14,1,3,5,4,2,19,4,4,1,10,4,8,4,7,5,8,6,15,1,14,3,8,2,10,82,8,2,10,5,},
{4,1768,19,12,4,2,10,3,8,1,18,1,8,2,18,1,8,2,10,22,8,5,10,3,8,2,10,26,8,4,10,2,8,25,10,2,8,14,10,7,8,45,10,2,8,2,18,3,8,14,10,4,8,8,18,1,8,1,18,1,8,18,7,3,14,1,7,2,8,26,10,1,8,12,18,2,8,1,10,1,4,385,18,3,10,4,8,3,10,20,8,4,10,6,8,3,10,5,8,3,18,4,8,5,10,15,8,5,7,5,6,1,17,4,6,1,7,2,17,1,16,8,3,2,18,1,10,6,18,1,3,2,14,1,18,1,8,10,10,9,8,11,18,3,15,3,14,3,15,1,8,1,14,2,7,1,8,9,15,2,8,4,14,6,17,1,14,2,7,2,8,1,10,6,8,5,10,3,8,23,10,8,8,14,7,2,8,22,14,4,7,8,8,8,7,2,17,4,14,5,7,3,8,3,7,11,8,2,7,35,6,5,7,2,14,1,6,4,17,3,6,3,17,1,6,1,7,5,8,7,7,5,14,3,7,3,14,6,7,1,8,7,7,18,8,2,10,2,8,2,14,1,3,4,18,1,4,2,19,4,4,1,10,3,8,6,7,2,8,9,18,1,14,1,18,1,8,2,10,81,8,3,10,5,},
{4,1771,19,9,4,3,10,3,18,6,8,2,10,50,8,2,10,10,8,24,10,5,8,6,10,1,8,4,10,8,8,12,18,1,8,2,10,1,8,7,10,1,8,25,18,3,8,4,18,2,8,8,10,3,8,5,10,3,8,2,18,2,8,19,7,5,8,25,10,3,8,11,18,3,10,1,4,385,18,2,10,5,8,3,10,18,8,5,10,7,8,3,10,3,8,3,18,1,14,4,18,1,8,5,10,15,8,5,7,5,14,1,17,2,16,1,17,2,6,3,17,2,16,3,3,4,18,1,4,7,18,1,3,3,18,1,8,10,10,8,8,6,10,1,8,4,18,1,15,1,18,2,8,2,15,2,14,1,15,1,8,2,15,2,7,1,8,9,15,2,8,4,15,1,14,5,17,1,14,1,7,1,8,3,10,6,8,32,10,6,8,4,10,2,8,8,7,3,8,21,7,1,17,3,14,1,7,2,8,1,7,3,8,10,7,1,14,1,17,3,14,2,7,17,8,3,7,38,6,5,7,3,6,1,17,1,6,2,17,3,6,3,17,1,6,1,7,6,8,6,7,4,14,1,17,2,14,1,7,4,14,3,7,2,8,10,7,16,8,2,10,3,8,1,15,1,14,3,18,2,4,2,19,2,4,3,10,3,8,10,10,6,8,6,10,81,8,3,10,5,},
{4,1774,19,6,4,11,18,2,8,1,10,49,8,4,10,9,8,16,10,3,8,5,10,6,8,3,10,4,8,3,10,3,8,3,10,2,8,10,18,3,8,1,10,2,8,6,10,2,8,26,18,2,8,4,18,2,8,3,10,2,8,11,10,3,8,2,18,1,8,50,10,3,8,10,18,3,8,1,10,1,4,385,18,1,10,7,8,1,10,17,8,3,18,3,8,1,10,7,8,3,10,2,8,3,18,1,14,4,18,2,8,6,10,14,8,5,7,5,14,1,17,1,16,3,17,3,6,2,17,1,16,3,3,3,18,1,4,4,19,1,4,4,18,4,8,9,10,8,8,6,10,3,8,2,18,1,15,1,14,1,15,1,18,1,8,3,15,4,7,1,8,1,15,1,7,1,8,3,15,2,8,3,15,1,14,2,15,1,8,4,15,1,8,1,15,1,14,2,16,1,17,1,7,1,8,2,10,5,8,35,10,5,8,4,10,2,8,8,7,3,8,21,14,1,16,3,14,1,7,1,8,3,7,2,8,9,7,1,14,1,17,4,14,1,7,18,8,3,7,14,8,2,7,12,14,1,7,9,6,5,7,3,17,2,6,2,17,3,6,3,17,1,6,1,7,6,8,5,7,2,14,1,7,2,14,1,17,2,14,1,7,1,8,1,7,2,14,3,7,2,8,11,7,15,8,2,10,3,8,2,18,5,4,7,18,1,10,3,8,9,10,7,8,4,10,48,8,1,10,20,8,2,10,7,8,7,10,5,},
{4,1774,19,5,4,14,18,1,10,28,8,3,10,32,8,14,10,23,8,23,10,4,8,2,10,5,8,6,10,2,8,29,10,2,8,11,10,3,8,53,10,3,8,11,18,2,8,1,10,1,4,360,19,8,4,16,18,2,10,24,8,2,18,3,8,2,10,8,8,3,10,2,8,2,18,1,14,5,18,2,8,6,10,14,8,6,7,5,14,1,17,3,16,2,17,1,6,1,7,1,6,1,17,1,16,2,3,1,18,2,4,1,19,6,4,5,18,4,7,1,8,7,10,6,8,7,10,3,8,3,18,3,8,6,15,1,18,1,8,6,15,3,8,2,15,1,14,3,8,5,15,1,8,2,14,4,8,1,10,3,8,1,18,2,8,3,10,3,8,2,18,3,8,16,10,1,8,9,10,4,8,38,14,1,17,1,16,2,14,1,7,1,8,7,10,3,8,2,7,2,14,1,17,4,14,2,7,7,14,4,7,7,8,3,7,27,14,3,7,8,6,5,7,2,6,1,17,2,6,2,17,3,6,3,17,2,7,6,8,3,7,3,14,2,7,1,14,2,17,2,14,1,7,1,8,1,7,5,8,13,7,11,6,2,7,2,8,3,10,3,8,2,18,4,4,7,10,4,8,8,10,81,8,2,10,7,8,7,10,5,},
{4,1794,10,29,8,3,10,33,8,12,10,17,8,2,10,4,8,8,18,1,8,11,10,15,8,6,10,2,8,4,10,3,8,47,7,3,8,56,18,2,4,360,19,12,4,12,10,14,18,1,10,5,18,2,8,1,10,1,8,1,18,1,15,1,14,1,15,1,18,1,8,1,10,9,8,4,10,2,8,2,18,1,14,5,18,2,8,4,10,16,8,6,7,1,8,4,7,2,6,1,17,1,16,3,7,2,14,1,17,1,16,2,3,1,18,1,4,2,19,6,4,6,18,1,3,3,14,1,8,12,10,5,8,23,18,1,14,3,8,3,15,1,14,3,8,1,10,2,8,2,15,1,8,1,15,1,7,1,14,2,8,1,10,3,8,1,3,3,18,2,8,1,10,3,8,2,18,2,14,1,7,1,8,14,10,3,8,9,10,4,8,17,10,1,8,19,7,1,14,4,7,1,8,11,7,2,14,2,17,4,14,3,7,7,14,7,7,3,8,4,7,2,14,1,7,3,8,3,7,9,14,2,7,6,14,2,7,9,6,5,7,1,6,6,17,1,6,4,17,3,6,3,7,3,8,3,7,4,14,6,7,1,8,3,7,1,8,18,7,2,14,4,7,4,6,1,7,2,8,3,10,3,8,2,15,1,14,1,18,2,4,7,10,3,8,7,10,94,8,5,10,5,},
{4,1814,10,1,18,8,8,14,10,22,8,12,10,7,8,3,10,4,8,5,10,3,8,6,18,3,7,1,18,1,8,4,10,2,8,3,10,16,8,1,10,3,8,3,10,1,8,4,10,4,8,15,10,4,8,4,10,2,8,9,18,2,8,9,7,2,8,8,7,2,8,35,10,5,8,8,18,2,4,360,19,12,4,12,10,13,18,3,10,2,9,1,18,1,3,3,18,2,15,1,14,2,15,1,18,1,9,1,10,9,8,5,10,1,8,2,18,7,8,4,10,17,8,11,7,3,17,2,16,1,17,1,6,1,7,1,14,1,17,1,16,1,3,1,18,1,4,3,19,6,4,6,18,2,3,2,14,1,18,1,8,13,10,3,8,9,10,1,8,14,14,2,18,1,8,1,10,1,8,1,15,1,14,2,8,1,10,3,8,2,15,2,18,1,8,4,10,3,8,1,3,3,18,2,8,1,10,3,8,2,18,3,8,15,10,4,8,9,10,5,8,14,10,2,8,20,7,4,8,11,7,2,14,11,7,7,14,7,7,3,8,3,7,14,14,1,7,2,14,3,7,5,14,3,7,15,6,5,17,1,6,6,17,2,6,2,7,4,8,2,7,3,14,1,7,3,14,3,7,2,8,2,7,2,8,9,10,2,8,7,7,2,14,4,7,6,8,9,14,2,18,2,4,6,10,5,8,3,10,78,8,2,10,17,8,5,10,5,},
{4,1821,18,2,8,16,10,20,8,12,10,6,8,3,10,5,8,4,10,3,8,6,18,5,8,4,10,3,8,4,10,14,8,13,10,3,8,16,10,4,8,4,10,4,8,5,18,4,8,16,7,8,8,33,10,4,8,7,18,3,4,355,19,17,4,11,10,1,18,3,10,9,18,4,10,1,18,2,3,1,16,2,3,2,14,4,18,1,9,1,10,9,8,5,10,2,8,13,10,17,8,8,7,5,6,1,17,4,6,1,7,1,6,1,14,1,3,2,18,1,4,3,19,6,4,7,18,4,7,1,8,5,18,1,8,1,18,2,8,14,10,6,8,20,10,4,8,1,15,3,8,5,10,2,8,2,18,3,8,2,10,5,8,19,10,3,8,10,10,6,8,34,7,3,8,12,7,2,14,11,7,2,14,13,7,3,8,2,7,15,14,6,7,5,14,4,7,18,6,2,17,2,6,6,7,6,8,3,7,1,14,3,7,12,8,4,7,1,8,3,10,2,8,7,7,2,14,4,7,11,8,3,15,1,14,2,18,1,4,6,10,7,8,1,10,78,8,3,10,17,8,5,10,5,},
{4,1822,18,2,8,15,10,19,8,15,10,3,8,4,10,5,8,4,10,3,8,5,18,4,8,6,10,3,8,6,10,10,8,15,10,1,8,17,10,4,8,6,10,4,8,2,18,2,7,1,18,2,8,5,18,2,8,9,7,9,8,36,10,3,8,1,10,2,8,2,18,3,4,354,19,18,4,10,10,2,8,2,10,10,18,4,10,1,18,1,3,2,16,2,3,2,14,3,18,1,9,1,10,9,8,7,10,1,8,13,10,2,8,3,10,11,8,9,7,5,6,6,17,2,14,1,18,2,4,4,19,5,4,5,19,2,4,3,18,13,8,12,10,8,8,11,10,1,8,6,10,5,8,1,18,1,15,1,8,6,10,1,8,6,10,7,8,33,10,12,8,26,7,2,8,8,7,6,14,6,7,3,14,4,7,2,14,14,7,19,14,6,7,1,14,8,7,19,6,5,7,2,6,2,7,6,8,2,7,2,14,3,7,2,8,4,7,5,8,4,7,2,8,3,10,2,8,8,7,2,14,4,7,6,6,3,7,3,15,1,14,2,15,1,10,1,4,6,10,86,8,3,10,16,8,5,10,6,},
{4,1815,19,2,4,7,18,1,10,1,8,12,10,12,8,3,10,5,8,5,10,2,8,7,18,2,10,2,8,4,10,5,8,4,10,3,8,3,18,4,8,7,10,4,8,10,10,3,8,13,18,2,8,2,10,2,8,16,10,4,8,9,10,2,8,3,7,3,8,16,7,6,8,40,10,6,8,5,10,1,4,353,19,5,4,2,19,10,4,11,10,16,8,1,10,2,8,1,18,1,3,1,16,2,3,1,14,2,15,2,8,1,10,9,8,7,10,3,8,11,10,2,8,4,10,10,8,10,7,9,14,1,17,2,3,2,18,1,4,2,19,5,4,8,19,5,4,1,18,12,8,12,10,8,8,10,10,3,8,4,10,4,8,3,18,3,8,2,10,1,8,8,10,8,8,33,10,12,8,26,7,1,8,9,7,2,14,8,7,6,14,11,7,3,14,5,7,19,14,2,6,1,14,12,7,19,14,1,6,1,14,1,7,4,6,3,14,1,7,8,14,3,7,1,8,7,7,1,8,6,7,2,8,3,10,1,8,10,7,2,14,3,7,5,6,1,17,2,6,1,7,2,8,1,15,3,8,1,10,1,4,6,10,86,8,3,10,16,8,3,10,8,},
{4,1814,19,5,4,6,18,1,10,15,8,6,10,1,8,6,10,3,8,5,10,4,8,3,18,5,4,1,10,1,9,2,8,1,9,1,10,3,4,1,10,1,9,1,10,1,8,1,10,4,8,3,18,1,8,2,18,1,8,6,10,5,8,26,18,2,8,1,10,3,8,16,10,3,8,21,7,2,8,8,7,8,8,43,10,5,8,4,10,2,4,352,19,4,4,22,18,1,8,2,10,19,18,1,14,1,3,1,14,2,8,5,10,8,8,2,10,4,8,15,10,3,8,4,10,9,8,3,7,1,8,8,7,8,14,1,17,1,16,1,3,2,4,2,19,6,4,8,19,5,4,2,18,2,3,1,18,7,8,4,10,1,8,8,10,7,8,12,10,1,8,4,10,4,8,4,18,2,8,2,10,2,8,7,10,8,8,27,10,4,8,4,10,10,8,37,7,2,14,6,7,8,14,11,7,4,14,4,7,3,8,1,7,14,14,2,17,2,14,2,7,2,14,8,7,1,8,1,7,8,14,3,7,4,14,1,7,7,14,1,6,4,14,1,7,11,8,15,7,1,8,14,7,2,14,4,7,3,6,2,17,1,6,1,14,1,7,3,15,2,8,2,10,2,4,5,10,100,8,2,10,2,8,3,10,9,},
{4,1814,19,6,4,5,10,15,8,5,10,1,8,9,10,1,8,5,10,5,8,4,18,1,4,14,18,1,10,6,8,3,18,1,8,1,18,2,8,6,10,5,8,26,18,2,8,1,10,3,8,15,10,4,8,2,18,2,8,17,14,1,7,1,8,7,7,2,14,2,7,3,8,5,7,2,8,39,10,6,8,1,10,3,4,349,19,7,4,3,18,3,10,11,4,3,18,3,8,1,10,15,8,1,10,4,8,1,18,2,15,1,8,6,10,15,8,14,10,16,8,3,7,2,8,11,7,5,17,1,16,1,3,1,18,1,4,2,19,6,4,8,19,5,4,3,18,8,8,3,10,6,8,5,10,7,8,6,10,2,8,8,10,4,8,1,18,2,8,6,10,2,8,8,10,6,8,27,10,5,8,4,10,9,8,39,7,2,14,4,7,9,14,5,7,1,14,5,7,4,14,3,7,3,8,2,7,11,14,5,17,2,14,1,7,3,14,1,17,2,14,4,7,2,8,1,7,8,14,3,7,4,14,1,7,6,14,1,6,1,17,2,6,1,14,1,7,2,8,1,7,2,14,2,7,4,8,4,10,1,8,5,10,3,8,19,7,1,14,4,7,11,14,1,15,1,8,2,10,62,8,4,10,34,8,1,10,6,18,2,8,1,10,1,8,2,10,10,},
{4,1814,19,6,4,13,10,22,8,5,10,7,18,3,4,4,19,3,4,9,10,6,8,13,10,4,8,21,10,1,8,5,18,1,8,2,10,3,8,6,18,2,8,2,10,8,8,3,18,2,8,6,18,2,7,2,8,7,7,2,8,7,7,2,14,2,7,2,8,3,7,7,8,37,10,9,4,349,19,6,4,3,18,2,3,2,18,1,10,12,18,4,8,3,10,14,8,1,10,5,8,8,10,16,8,13,10,17,8,2,7,8,8,6,7,3,8,1,14,2,3,2,18,1,4,1,19,7,4,8,19,5,4,5,18,6,8,3,10,8,8,2,10,7,8,6,10,4,8,7,10,3,8,1,14,1,15,1,18,1,8,5,10,3,8,8,10,10,8,24,10,4,8,5,10,7,8,42,7,6,8,3,7,3,14,6,7,2,14,3,7,6,14,1,7,3,8,3,7,11,14,1,6,2,14,2,17,2,14,1,7,3,14,1,17,2,14,2,7,24,14,1,7,1,14,1,6,2,17,1,6,1,14,1,7,2,8,3,7,1,14,2,7,1,8,8,10,2,8,2,10,3,8,11,10,2,8,6,7,1,14,5,7,9,14,3,8,2,10,63,8,5,10,33,8,1,10,6,8,1,18,1,10,2,8,2,10,10,},
{4,1814,19,6,4,2,19,6,4,6,10,21,8,4,10,5,4,8,19,6,4,9,10,6,8,3,10,4,8,28,10,4,8,4,18,1,8,2,10,1,8,8,18,2,8,1,10,9,8,2,18,3,8,6,18,1,7,1,14,2,18,1,8,14,7,6,8,4,7,8,8,37,10,8,18,1,4,348,19,5,4,3,18,2,3,3,14,1,8,1,10,1,8,4,10,5,8,7,10,5,8,2,10,14,8,2,18,1,15,2,14,1,8,2,10,16,8,12,10,18,8,2,7,8,8,4,7,6,14,1,3,3,18,1,4,1,19,7,4,14,19,2,4,3,18,6,8,3,10,4,8,2,10,9,8,6,10,5,8,6,10,4,18,1,14,1,18,1,8,7,10,2,8,4,10,2,8,2,10,10,8,24,10,4,8,5,10,6,8,11,10,2,8,26,10,2,8,4,7,1,8,6,7,2,14,7,7,2,14,4,7,4,14,3,7,2,8,4,7,8,14,3,17,1,6,1,14,2,17,2,14,1,7,3,14,1,17,2,14,1,7,9,8,6,7,8,14,2,6,1,17,2,6,2,14,1,7,2,8,4,7,2,14,1,7,1,8,14,10,1,8,8,10,1,8,3,10,2,8,5,7,2,14,6,7,6,14,1,6,1,17,2,14,1,8,1,10,6,8,1,10,95,8,1,10,2,8,1,10,3,8,2,10,5,8,2,10,7,},
{4,1815,19,4,4,3,19,8,4,9,10,3,8,3,9,1,10,3,4,6,18,2,10,6,4,8,19,7,4,10,10,14,8,25,10,4,8,12,10,2,8,3,18,2,8,1,10,8,8,8,10,2,8,2,18,1,7,2,18,1,8,13,7,4,8,7,7,9,8,37,10,6,8,1,18,2,4,348,19,4,4,3,18,2,3,3,16,1,3,1,8,13,18,1,8,3,10,6,8,3,10,14,8,2,15,3,8,1,10,15,8,13,10,19,8,2,7,14,6,2,14,3,3,2,18,1,4,2,19,6,4,15,19,3,4,2,18,7,8,8,10,7,8,8,10,5,8,6,10,4,18,1,15,1,8,8,10,3,8,3,10,14,8,25,10,3,8,5,10,3,8,14,10,2,8,39,7,3,14,2,7,8,14,1,7,11,8,4,7,5,14,4,6,2,17,1,14,2,17,1,14,2,7,3,14,1,17,2,14,1,7,9,8,3,10,1,8,3,7,7,14,1,17,3,6,1,14,2,7,3,8,4,7,3,8,3,10,1,8,19,10,3,8,2,10,1,8,3,7,3,14,5,17,1,6,1,14,2,7,3,14,1,6,1,17,3,14,1,15,1,8,1,10,6,18,1,8,1,10,94,8,1,10,2,8,2,10,3,8,1,10,4,18,2,8,1,10,7,},
{4,1822,19,8,4,40,19,8,4,10,10,10,8,1,10,4,8,24,10,3,8,12,10,3,8,3,18,1,8,2,10,8,8,6,10,4,8,18,7,4,8,6,7,11,8,37,10,6,8,1,18,2,4,348,19,4,4,3,18,2,3,5,18,1,8,10,18,5,8,1,10,7,8,2,10,16,8,4,10,15,8,2,18,1,8,10,10,19,8,2,7,2,14,1,7,10,6,3,14,3,3,1,18,1,4,2,19,6,4,16,19,4,4,1,10,2,8,2,18,4,8,7,10,6,8,4,18,2,8,6,10,1,8,7,10,4,8,2,10,3,8,6,10,14,8,30,10,2,8,7,10,2,8,15,10,2,8,1,10,1,8,35,7,26,8,5,7,4,14,4,6,2,14,3,17,1,14,1,7,2,8,1,7,2,14,3,7,2,8,2,7,5,8,12,7,2,14,1,17,3,14,1,7,5,8,15,10,1,8,13,10,5,8,5,7,2,14,5,17,3,6,4,17,5,14,2,8,1,10,6,8,1,18,2,10,61,8,1,10,29,8,1,10,6,8,1,10,3,8,1,10,3,18,1,3,1,18,1,8,1,10,4,8,3,},
{4,1822,19,8,4,7,19,3,4,7,19,5,4,18,19,7,4,11,10,9,8,2,10,4,8,2,18,1,8,36,10,2,8,6,10,8,8,5,10,5,8,5,10,4,8,10,7,3,8,7,7,1,17,2,7,1,8,14,18,5,8,25,10,5,8,2,18,2,4,348,19,3,4,3,18,4,14,1,3,3,7,1,8,9,18,2,14,3,18,1,8,1,10,15,8,2,10,26,8,2,14,2,18,1,8,8,10,8,8,1,10,11,8,2,7,1,14,3,7,8,6,4,14,2,18,3,4,1,19,7,4,16,19,4,4,1,18,1,10,2,8,1,18,6,8,6,10,4,8,3,18,4,8,14,10,4,8,1,10,4,8,6,10,11,8,42,10,1,8,7,10,4,8,6,10,4,8,16,10,3,8,14,7,7,8,4,7,17,8,5,7,3,14,11,7,2,8,1,7,2,14,3,7,1,8,20,7,2,14,4,7,10,8,10,10,3,8,4,10,2,8,5,10,6,8,4,7,2,14,6,17,3,6,4,17,3,6,1,7,2,8,3,10,5,8,1,18,1,8,1,10,61,8,1,10,43,8,1,18,1,3,2,8,1,10,4,8,3,},
{4,1822,19,3,4,1,19,4,4,6,19,16,4,18,19,6,4,12,10,15,8,34,10,1,8,4,10,1,8,7,10,2,8,2,10,4,8,4,10,6,8,4,10,5,8,10,7,2,8,7,7,1,14,1,17,2,7,1,8,9,7,6,18,5,8,24,10,5,8,2,18,2,4,354,18,5,14,2,7,1,8,12,7,3,8,1,10,16,8,3,10,24,8,2,18,1,14,2,18,2,8,8,10,6,8,2,10,10,8,3,7,1,14,3,7,8,14,1,6,1,7,3,14,1,18,2,4,2,19,5,4,19,19,4,4,1,8,1,10,2,18,6,8,6,10,4,8,3,18,4,8,15,10,1,8,1,10,6,8,6,10,8,8,53,10,4,8,6,10,4,8,16,10,4,8,2,7,5,8,5,7,7,8,5,7,17,8,4,7,4,14,11,7,3,8,1,7,5,8,21,7,6,8,1,7,5,14,1,7,2,8,10,10,3,8,2,10,5,8,3,10,5,8,1,10,1,8,5,7,1,14,10,6,1,14,2,6,2,14,1,7,2,8,4,15,1,14,2,18,3,8,1,10,62,8,1,10,42,8,2,18,1,14,1,18,1,8,1,10,4,8,1,10,2,},
{4,1823,19,1,4,12,19,16,4,21,19,3,4,12,18,1,10,15,8,26,18,2,8,3,10,3,8,17,10,3,8,4,10,5,8,5,10,4,8,9,7,3,8,8,7,2,14,1,7,1,8,9,7,6,14,4,18,2,8,28,10,1,8,2,18,2,4,353,18,3,8,4,7,1,8,8,7,2,8,7,10,18,8,1,10,11,9,2,10,10,8,2,18,2,14,2,18,1,8,3,10,3,8,4,10,5,8,2,10,9,8,4,7,2,14,1,7,14,18,2,10,1,4,2,19,5,4,22,19,1,4,1,10,3,8,1,18,5,8,7,10,3,8,3,18,1,14,1,18,3,8,12,10,3,8,2,10,3,8,4,10,1,8,3,10,6,8,43,10,3,8,19,10,4,8,16,10,5,8,2,7,14,8,7,7,2,8,5,7,2,8,6,7,1,8,5,7,6,14,9,7,3,8,2,7,4,8,8,7,4,8,16,7,7,8,6,7,2,8,3,10,10,8,2,10,5,8,2,10,2,8,4,7,2,14,11,7,4,8,2,10,2,8,1,14,2,3,2,14,1,18,1,8,1,10,107,8,2,18,1,8,2,10,7,},
{4,1836,19,16,4,25,19,5,4,6,10,16,8,26,18,2,8,2,10,3,8,7,18,3,8,4,18,2,8,2,10,3,8,4,10,4,8,6,10,1,8,11,7,3,8,8,7,1,8,13,7,6,14,4,18,2,8,31,18,2,4,352,18,4,8,13,7,2,8,2,10,1,8,1,10,4,8,4,10,5,8,2,10,18,9,2,10,9,8,2,18,3,14,2,18,1,8,2,10,4,8,4,10,11,8,3,10,2,8,3,7,18,18,1,4,4,19,5,4,24,18,1,10,2,8,1,18,4,8,9,10,2,8,2,18,2,14,1,18,5,8,7,18,1,8,2,10,3,8,1,10,3,8,4,10,3,8,2,10,5,8,43,10,5,8,17,10,5,8,12,10,2,8,2,10,5,8,3,7,13,8,5,7,3,8,18,7,10,14,1,17,2,14,5,7,2,8,3,7,3,8,8,7,3,8,16,7,2,14,3,7,1,8,7,7,1,14,1,7,2,8,2,10,10,8,2,10,4,8,3,10,2,8,5,7,2,14,9,6,1,14,1,7,2,8,5,15,1,14,1,3,2,14,1,8,1,10,121,},
{4,1836,19,15,4,25,19,6,4,6,10,14,8,1,10,2,8,23,18,3,8,2,10,3,8,8,18,3,8,4,18,1,8,3,10,3,8,4,10,3,8,18,7,1,14,2,7,2,8,5,7,3,8,11,7,8,18,1,14,2,18,3,8,31,18,2,4,341,19,3,4,7,18,3,8,18,10,4,8,1,10,2,8,4,10,5,8,2,10,7,8,2,10,9,9,1,8,1,10,9,8,2,18,2,14,3,8,3,10,3,8,5,10,11,8,1,10,3,8,7,7,14,8,1,4,5,19,5,4,26,10,1,8,2,18,5,7,5,8,6,7,1,14,2,18,2,8,2,18,1,8,1,10,2,8,4,18,1,8,2,10,7,8,4,10,10,8,44,10,2,8,17,10,6,8,12,10,3,8,4,10,4,8,3,7,10,8,7,7,3,8,18,7,10,14,1,17,2,14,1,7,2,14,2,7,2,8,11,7,7,8,10,10,3,8,2,7,1,14,3,7,2,8,6,7,1,14,2,7,1,8,3,10,1,8,1,10,15,8,2,10,2,8,5,7,2,14,3,7,5,14,2,7,2,8,6,15,1,14,2,3,1,18,1,10,44,8,2,10,7,8,3,10,15,8,2,10,42,8,1,10,6,},
{4,1876,19,6,4,6,10,20,8,19,18,1,14,2,18,1,8,2,10,2,8,5,10,2,8,2,18,2,8,9,10,4,8,3,10,2,8,19,7,1,14,2,7,1,18,3,8,1,18,1,7,11,8,3,7,8,8,7,7,1,8,26,10,2,8,3,18,1,4,340,19,5,4,2,18,6,8,18,10,3,8,1,10,4,8,1,10,18,8,4,10,17,8,3,18,1,14,2,18,1,8,2,10,2,8,2,18,3,8,2,10,14,8,3,7,1,8,6,7,2,8,5,7,5,8,1,4,4,19,5,4,27,9,1,10,1,8,1,18,2,14,2,7,7,8,5,7,1,14,2,18,1,8,4,10,3,8,1,18,3,8,1,10,23,8,2,10,3,8,58,10,4,8,31,7,2,8,12,7,2,8,20,7,7,14,3,17,1,14,1,7,3,14,1,7,2,8,2,10,2,8,7,7,5,8,1,7,8,8,1,10,6,8,2,7,2,8,2,7,1,8,6,7,1,14,3,8,4,10,2,8,2,10,14,8,8,7,1,14,3,7,1,8,4,7,3,8,9,18,3,8,1,10,32,8,4,10,6,8,5,10,6,8,5,10,7,8,1,10,4,8,2,10,42,8,3,10,5,},
{4,1876,19,6,4,6,10,22,8,17,18,1,14,2,18,1,8,8,10,3,8,14,10,4,8,21,7,5,18,2,7,11,14,1,7,3,8,3,7,7,8,8,7,7,8,17,10,1,8,7,18,1,4,340,19,4,4,2,8,3,18,3,8,2,10,1,8,7,18,1,8,7,10,3,8,2,10,25,8,3,10,13,8,6,18,3,8,3,10,1,8,3,18,2,8,2,10,15,8,2,7,2,8,14,18,1,8,2,18,1,8,1,4,4,19,4,4,28,9,1,10,1,8,1,18,1,14,4,7,10,8,2,7,2,8,3,10,5,8,1,18,2,8,1,10,22,8,4,10,4,8,26,10,6,8,25,10,3,8,68,7,6,14,3,17,2,14,1,7,5,8,8,7,5,6,1,17,1,7,5,14,2,7,4,8,1,10,7,8,12,18,4,8,3,10,3,8,3,10,14,8,7,7,4,8,20,10,33,8,5,10,5,8,5,10,6,8,6,10,5,8,2,10,3,8,4,10,39,8,5,10,5,},
{4,1876,19,6,4,7,10,22,8,17,18,3,8,13,18,3,8,32,7,5,8,4,18,1,7,2,14,2,7,9,8,5,7,5,8,9,7,7,8,16,10,3,8,4,18,3,4,339,19,4,4,2,18,2,8,3,18,1,8,19,10,3,8,2,10,2,8,2,10,37,8,5,18,1,14,1,18,1,8,12,10,15,8,2,7,1,8,15,18,1,8,2,18,2,4,36,9,1,10,1,18,2,14,4,7,8,14,1,7,2,8,7,10,3,8,2,18,1,8,3,10,1,8,4,10,15,8,5,10,4,8,26,10,3,8,28,10,3,8,37,10,3,8,19,7,5,8,4,7,3,14,6,17,2,14,2,7,2,8,8,7,3,14,2,7,2,17,2,6,1,7,2,14,1,17,2,14,1,7,2,8,3,10,6,8,22,10,18,8,32,10,34,8,2,10,6,8,4,10,4,8,6,10,8,8,2,10,3,8,5,10,38,8,3,10,7,},
{4,1876,19,6,4,7,10,23,8,16,18,3,8,3,18,2,8,7,18,6,8,17,18,1,8,6,7,11,8,5,7,3,14,2,7,3,8,10,7,4,8,10,7,8,8,14,10,4,8,2,18,6,4,336,19,5,4,2,18,3,8,3,18,1,8,6,18,1,8,11,10,8,8,4,10,35,8,4,18,2,15,1,8,11,10,16,8,18,7,1,18,5,4,35,18,1,9,1,10,1,18,1,14,4,7,7,6,1,17,1,14,1,7,2,8,1,10,2,8,4,10,2,8,1,18,1,8,10,10,15,8,6,10,2,8,26,10,3,8,29,10,3,8,17,10,6,8,13,10,4,8,18,7,3,14,2,7,1,8,4,7,2,14,3,17,4,14,3,7,1,8,6,7,4,14,1,7,1,14,3,6,1,17,3,6,4,17,1,14,2,7,1,8,3,10,5,8,24,10,18,8,32,10,18,8,3,10,7,8,3,10,12,8,2,10,5,8,4,10,8,8,1,10,6,8,5,10,38,8,3,10,7,},
{4,1876,19,8,4,5,10,11,8,3,10,5,8,21,18,2,8,3,18,1,8,8,18,6,8,4,10,1,8,10,18,2,14,1,18,1,8,3,18,1,7,1,14,5,7,7,18,3,8,1,18,1,7,5,18,1,8,5,7,1,8,3,7,5,8,11,7,9,8,11,10,6,8,2,18,2,3,2,18,2,4,336,19,4,4,2,18,1,3,2,18,1,8,10,7,1,8,11,10,7,8,7,10,33,8,4,18,3,8,2,10,1,8,5,10,19,8,18,7,1,18,2,8,2,10,1,4,35,18,1,9,1,10,1,18,1,3,2,14,2,7,7,6,1,14,2,7,1,8,2,10,2,8,4,10,1,8,1,18,2,10,4,8,5,10,16,8,6,10,1,8,15,10,3,8,6,10,6,8,29,10,2,8,17,10,7,8,13,10,3,8,18,7,3,14,3,7,1,8,4,7,2,14,2,17,4,14,3,7,1,8,2,10,3,8,2,7,2,14,7,6,1,17,3,6,1,7,2,14,2,7,2,8,2,10,5,8,15,10,1,8,10,10,19,8,29,10,19,8,4,10,29,8,3,10,8,8,4,10,5,8,4,10,8,8,2,10,28,8,3,10,7,},
{4,1877,19,10,4,2,10,10,8,4,10,3,8,23,18,3,8,5,10,1,8,7,18,4,8,3,10,4,8,8,18,1,14,3,8,2,18,1,7,1,14,7,7,5,14,3,18,2,8,2,18,4,8,5,7,10,8,10,7,9,8,3,7,1,8,8,10,6,8,2,18,2,3,2,18,2,4,335,19,5,4,2,18,1,3,2,14,1,8,22,10,6,8,14,10,26,8,10,10,2,8,4,10,18,8,19,18,2,8,2,10,1,4,36,18,1,9,1,10,1,18,1,3,2,14,1,7,1,8,2,7,5,14,2,7,1,8,3,10,2,8,6,18,2,10,4,8,1,18,1,8,2,10,17,8,15,10,1,8,5,10,16,8,4,10,5,8,20,10,2,8,16,10,8,8,34,7,3,14,1,7,3,8,4,7,2,14,2,17,3,14,3,7,1,8,2,10,4,8,2,7,2,14,7,17,4,7,6,8,3,10,2,8,3,15,1,14,3,8,10,10,2,8,9,10,20,8,7,10,1,8,7,10,2,8,11,10,20,8,3,10,32,8,2,10,8,8,3,10,6,8,2,10,9,8,2,10,38,},
{4,1880,19,8,4,1,10,6,8,1,10,1,8,4,10,4,8,23,18,4,8,5,10,1,8,8,18,3,8,3,10,4,8,9,7,1,14,2,8,3,7,1,14,7,7,5,14,3,7,1,18,1,8,2,18,5,7,1,8,1,7,13,8,2,7,3,8,3,7,10,8,12,10,6,8,2,18,6,4,336,19,3,4,3,18,4,8,22,10,6,8,15,10,24,8,17,10,17,8,13,7,1,8,9,10,2,18,1,4,35,18,1,10,2,18,1,14,3,7,1,8,3,7,6,8,4,10,2,8,6,18,1,8,1,10,1,8,1,10,2,18,2,8,1,10,18,8,14,10,3,8,4,10,18,8,1,10,6,8,20,10,2,8,16,10,8,8,32,7,7,8,7,7,1,14,3,17,1,14,3,7,1,8,2,10,4,8,3,7,2,14,7,17,3,6,1,7,6,8,6,7,1,14,5,8,8,10,4,8,6,10,12,8,4,10,8,8,3,10,4,8,7,10,2,8,9,10,58,8,3,10,8,8,1,10,57,},
{4,1880,19,8,4,1,10,4,8,8,10,3,8,24,18,1,14,2,18,2,8,19,10,3,8,10,18,3,8,3,7,1,14,6,7,6,14,3,7,42,8,16,10,3,8,1,18,5,4,337,19,1,4,5,18,4,8,22,10,4,8,20,10,20,8,3,18,1,8,13,10,5,8,2,10,11,8,12,7,3,8,8,10,2,4,37,10,1,8,1,18,2,14,2,7,2,8,2,7,4,8,2,10,2,8,9,18,2,8,1,10,1,8,1,10,1,8,1,18,1,14,1,8,1,10,1,8,2,10,10,8,18,10,35,8,35,10,2,8,2,10,4,8,33,7,5,8,9,7,2,14,4,7,1,8,3,10,4,8,4,7,3,14,6,7,2,6,2,7,2,14,2,7,1,8,6,14,7,8,7,10,4,8,6,10,10,8,7,10,8,8,1,10,5,8,7,10,3,8,8,10,44,8,2,10,14,8,1,10,67,},
{4,1880,19,8,4,2,10,3,8,8,10,2,8,6,10,5,8,3,18,2,8,8,18,1,14,4,15,1,18,1,8,8,10,3,8,26,18,1,7,1,14,3,7,5,14,5,7,5,14,4,7,2,18,1,7,31,8,17,10,3,18,3,4,344,18,2,8,38,10,1,8,11,10,4,8,4,10,10,8,3,18,3,8,12,10,4,8,3,10,10,8,13,7,3,8,7,10,2,18,1,4,36,18,1,10,1,8,1,18,3,14,1,7,7,8,3,10,1,8,9,7,1,8,1,18,1,10,4,8,1,18,2,8,1,10,12,8,19,10,30,8,7,10,2,8,31,10,3,8,1,10,1,8,36,7,5,8,10,7,4,8,5,10,4,8,3,7,3,14,7,7,4,14,4,7,1,8,4,15,1,14,5,15,1,14,1,18,1,8,2,10,1,8,4,10,1,8,9,10,9,8,8,10,8,8,2,10,4,8,7,10,2,8,2,18,1,8,3,10,30,8,2,10,12,8,6,10,17,8,3,10,20,8,4,10,37,},
{4,1881,19,7,4,2,10,4,18,2,8,13,10,6,8,2,18,2,8,7,18,1,15,1,14,5,18,4,8,1,18,1,8,3,10,4,8,24,18,2,7,4,8,3,7,2,14,4,7,5,14,5,7,2,18,1,8,1,18,1,7,3,8,3,7,23,8,18,10,4,4,344,18,1,8,35,10,7,8,10,10,3,8,5,10,8,8,3,18,5,8,11,10,4,8,3,10,11,8,13,7,3,8,7,10,2,18,1,4,37,10,1,8,1,18,5,7,4,8,9,15,1,8,4,7,2,8,2,10,4,18,2,8,1,10,5,8,1,10,7,8,11,10,3,8,5,10,28,8,9,10,2,8,31,10,5,8,60,10,3,8,4,7,1,14,3,7,6,8,2,7,3,14,3,7,1,8,4,14,5,15,1,8,1,18,1,8,2,10,2,8,3,10,1,8,4,10,1,8,3,10,12,8,6,10,9,8,2,10,3,8,3,7,1,8,3,10,3,8,2,15,1,8,2,10,44,8,7,10,15,8,5,10,20,8,4,10,37,},
{4,1895,18,2,8,12,10,6,8,7,18,6,14,5,18,6,8,3,10,5,8,21,18,1,7,5,8,6,7,1,14,2,3,1,14,3,7,4,14,3,7,2,18,1,8,2,18,1,7,2,8,4,7,17,14,3,7,5,8,11,18,1,8,5,10,3,4,333,19,1,4,1,19,2,4,6,18,3,8,34,10,7,8,10,10,3,8,5,10,7,8,1,18,8,8,11,10,4,8,3,10,11,8,13,7,3,8,7,10,2,18,1,4,35,10,3,8,1,18,5,7,2,8,3,10,2,8,6,15,1,8,3,7,1,14,1,7,1,8,1,10,5,8,1,10,6,8,2,10,7,8,11,10,3,8,6,10,26,8,11,10,1,8,31,10,7,8,52,10,3,8,10,7,1,14,3,7,1,8,3,7,2,8,2,7,3,14,3,7,1,8,1,10,1,8,2,14,5,15,1,8,4,10,6,8,4,10,17,8,4,10,9,8,4,10,1,8,3,18,1,8,3,10,3,8,2,18,2,8,1,10,45,8,5,10,15,8,6,10,22,8,2,10,38,},
{4,1889,19,2,4,5,18,1,8,12,10,6,8,6,18,1,15,2,18,1,8,1,18,2,14,4,15,1,18,2,15,3,18,1,8,4,10,5,8,20,7,1,14,2,7,2,18,1,8,6,7,1,14,3,3,1,14,3,7,2,18,8,7,5,8,3,7,2,14,4,7,10,14,6,7,4,8,9,18,3,8,4,10,3,4,331,19,6,4,5,18,6,8,5,18,2,8,25,10,5,8,18,10,9,8,1,18,1,14,1,18,1,8,7,18,3,8,2,10,1,8,2,10,5,8,3,10,10,8,15,7,2,8,7,10,2,9,1,4,35,8,1,10,3,8,10,10,2,8,10,14,3,8,1,10,1,8,1,10,5,8,3,10,1,8,2,10,8,8,11,10,3,8,8,10,2,8,33,10,1,8,31,10,6,8,21,10,3,8,26,10,6,8,10,7,1,14,3,8,5,7,9,8,1,10,2,8,2,14,4,15,1,8,5,10,6,8,4,10,10,8,1,10,18,8,8,18,1,7,1,8,3,10,2,8,3,15,1,8,2,10,40,8,3,10,21,8,2,18,1,8,3,10,63,},
{4,1888,19,7,4,1,18,1,10,1,8,19,10,2,8,2,15,2,18,1,8,2,18,1,15,1,14,3,15,1,8,3,15,3,18,1,8,6,10,3,8,20,14,3,7,1,18,1,8,7,7,3,14,1,3,2,14,2,7,1,18,1,8,6,18,1,7,2,14,2,7,7,14,5,7,4,14,1,7,4,14,6,7,4,8,10,18,1,8,5,10,2,4,332,19,6,4,4,18,4,8,8,14,1,7,1,8,26,10,3,8,18,10,9,8,2,18,3,8,8,18,1,8,3,10,20,8,21,18,3,8,2,10,2,4,35,10,1,8,1,10,3,8,8,10,3,8,9,15,1,14,2,7,1,8,1,10,7,8,2,10,13,8,10,10,3,8,75,10,7,8,19,10,4,8,9,10,7,8,7,10,6,8,7,15,1,7,1,8,3,15,1,14,4,8,4,7,1,14,1,7,7,8,2,10,2,8,2,14,1,3,1,14,2,8,6,10,6,8,3,10,29,8,9,7,2,8,2,10,3,8,2,15,2,8,2,10,40,8,4,10,19,8,6,10,27,8,2,10,28,8,1,10,6,},
{4,1888,19,7,4,3,10,3,8,16,10,2,8,8,15,1,14,2,15,1,8,5,15,3,18,1,15,1,8,6,10,2,8,19,18,1,14,2,18,1,8,8,7,4,14,3,7,1,18,1,8,6,18,1,7,1,14,6,7,4,14,4,7,13,14,3,7,4,8,17,10,1,4,333,19,6,4,3,18,2,8,11,14,2,8,27,10,1,8,18,10,9,8,18,10,20,8,20,18,5,8,1,10,2,4,35,8,3,10,2,8,6,10,5,8,1,18,1,8,1,10,1,8,3,15,2,14,3,8,1,10,4,8,1,10,2,8,2,10,15,8,8,10,4,8,54,7,1,8,20,10,6,8,20,10,4,8,9,10,7,8,5,10,6,8,10,7,1,15,2,7,1,14,4,7,1,8,4,14,3,7,3,8,4,10,4,8,1,14,2,18,1,8,4,10,8,8,4,10,18,8,3,10,8,8,7,7,1,14,2,7,1,8,3,10,1,8,2,14,2,15,1,8,1,10,43,8,3,10,18,8,4,10,27,8,1,10,31,8,1,10,6,},
{4,1888,19,8,4,4,18,1,10,1,8,5,10,2,8,18,15,1,14,3,8,5,15,1,14,1,15,6,8,4,10,1,8,20,18,1,8,6,18,1,7,5,8,1,18,11,7,2,14,9,7,1,14,4,7,3,8,3,7,12,8,8,18,1,8,11,10,2,4,332,19,5,4,3,18,3,8,10,18,1,14,1,7,1,8,20,10,3,8,4,10,1,8,17,10,10,8,19,10,18,8,2,18,2,8,16,18,6,8,2,10,2,4,34,9,1,8,2,10,1,8,6,10,5,8,1,14,1,18,1,8,1,10,1,8,3,15,1,14,4,8,1,10,2,8,1,18,1,8,1,10,8,8,1,10,10,8,9,10,1,8,55,7,2,8,19,10,6,8,21,10,4,8,11,10,5,8,4,10,7,8,3,7,2,8,6,7,1,14,6,8,4,7,1,14,2,7,1,8,7,10,4,8,7,10,6,8,6,10,5,8,3,10,9,8,5,10,7,8,4,10,2,8,2,14,3,7,1,8,5,15,1,14,2,15,1,8,1,10,45,8,2,10,17,8,3,10,6,8,4,10,24,8,1,10,16,8,2,10,7,8,1,10,6,},
{4,1888,19,10,4,4,10,1,8,3,10,3,8,19,18,2,8,5,15,1,14,7,15,2,8,32,7,2,14,1,7,4,18,5,7,2,14,14,7,1,14,3,7,5,8,2,7,3,8,4,18,1,7,3,8,21,10,1,4,333,19,5,4,2,18,4,8,11,18,2,8,20,10,3,8,4,10,3,8,1,10,5,8,4,10,1,8,2,18,1,8,1,10,8,8,3,18,1,8,7,18,1,8,9,10,18,8,2,18,2,8,18,18,4,8,3,10,1,4,33,18,1,8,3,10,1,8,1,18,2,8,2,10,4,8,1,18,1,14,2,18,1,10,2,8,1,18,1,8,1,15,1,14,3,15,1,8,3,18,2,8,1,10,11,8,1,10,6,8,57,10,1,8,30,10,3,8,23,10,4,8,13,10,5,8,2,10,5,8,4,7,2,15,1,8,7,14,4,7,1,8,5,18,1,14,2,8,7,10,18,8,6,10,4,8,4,10,9,8,5,10,8,8,3,10,2,8,2,18,1,14,2,18,1,8,5,15,1,14,2,8,2,10,33,8,2,10,10,8,4,10,23,8,6,10,23,8,3,10,12,8,4,10,14,},
{4,1894,19,7,4,1,10,5,8,21,10,3,8,2,15,1,14,7,15,2,8,15,10,1,8,19,18,1,7,1,14,5,18,1,14,19,7,13,18,1,8,28,18,1,4,334,19,5,4,2,18,3,8,5,10,3,8,27,10,3,8,2,10,2,8,1,10,6,8,4,10,2,8,2,18,1,8,2,10,6,8,2,18,3,8,16,10,4,8,1,10,14,8,3,18,1,8,5,7,1,8,7,10,3,8,4,18,1,8,4,10,1,4,9,19,5,4,19,10,1,8,2,10,2,8,1,18,1,8,2,10,5,8,1,14,1,3,1,14,1,8,1,10,2,18,1,14,1,8,6,15,1,8,3,10,15,8,11,10,3,8,41,10,9,8,51,10,4,8,18,10,8,8,17,18,1,7,2,18,1,8,3,10,1,8,6,10,4,8,3,10,15,8,2,10,8,8,5,10,27,8,5,18,1,8,2,10,2,8,2,15,2,18,1,8,2,10,32,8,3,10,10,8,6,10,20,8,8,10,23,8,3,10,6,8,7,10,16,},
{4,1894,19,7,4,2,10,4,8,21,10,3,8,1,15,1,14,9,15,1,8,3,15,5,8,6,10,4,8,18,7,1,14,2,3,2,14,11,7,6,14,4,7,5,14,4,7,2,18,1,8,13,7,1,8,17,4,334,19,5,4,2,18,3,8,6,10,2,8,28,10,4,8,3,10,6,8,4,10,3,8,1,18,1,8,3,10,4,8,2,18,1,14,2,18,2,8,14,10,3,8,3,10,8,8,3,10,2,8,9,7,3,8,6,10,4,8,7,10,3,4,3,10,2,18,1,4,1,19,6,4,19,10,1,8,1,10,2,8,1,18,2,8,2,10,4,8,1,18,1,3,2,18,1,10,3,18,2,8,2,10,2,8,2,7,1,15,1,8,1,10,11,8,2,10,3,8,10,10,4,8,41,10,8,8,51,10,4,8,19,10,6,8,24,10,5,8,3,10,6,8,1,10,5,8,1,10,9,8,2,10,9,8,4,10,8,8,1,10,9,8,4,10,6,8,3,10,2,8,2,10,4,8,5,10,29,8,1,10,3,8,3,10,7,8,1,10,2,8,6,10,19,8,2,15,1,8,7,10,22,8,3,10,6,8,6,10,17,},
{4,1894,19,7,4,4,10,3,8,23,18,1,14,10,15,9,8,6,10,4,8,18,7,1,14,15,7,6,14,5,7,1,14,1,7,1,14,6,7,1,8,30,10,2,4,333,19,6,4,1,18,4,8,37,10,1,8,7,10,4,8,4,10,3,8,1,18,1,8,9,18,1,14,3,18,1,8,21,10,7,8,2,10,3,8,10,7,4,8,13,10,6,18,1,10,1,8,3,18,1,4,1,19,5,4,19,10,3,8,1,18,3,8,2,10,2,8,2,18,1,14,1,3,1,14,1,8,1,10,3,8,10,10,1,8,1,10,1,8,1,10,7,8,3,10,3,8,10,10,4,8,11,10,1,8,19,10,2,8,64,10,5,8,21,10,5,8,15,18,1,8,9,10,5,8,3,10,33,8,4,10,18,8,4,10,6,8,7,10,4,8,4,10,29,8,1,10,4,8,5,10,3,8,3,10,2,8,6,10,18,8,3,15,1,8,7,10,19,8,6,10,6,8,1,10,21,8,1,},
{4,1895,19,7,4,5,10,2,8,2,18,1,8,1,18,1,8,6,18,1,15,1,8,3,15,1,14,2,15,3,14,19,7,1,8,10,10,6,8,13,18,1,7,3,14,1,18,8,14,12,7,3,14,7,7,1,8,29,10,3,4,332,19,6,4,2,18,4,8,53,10,3,8,1,18,1,8,8,18,2,14,4,8,24,10,3,8,3,10,3,8,13,7,1,8,12,10,10,8,2,9,1,4,1,19,4,4,20,10,2,8,1,18,4,8,5,18,1,14,3,18,1,10,3,8,4,15,2,8,2,10,1,8,1,10,2,8,3,10,8,8,1,10,4,8,25,10,2,8,17,10,4,8,61,10,6,8,22,10,4,8,5,10,2,8,18,10,42,8,4,10,21,8,1,10,5,8,7,10,5,8,3,10,35,8,11,10,12,8,1,10,12,8,3,15,1,8,8,10,15,8,1,10,3,8,5,10,28,8,2,},
{4,1900,19,6,4,2,10,1,8,1,18,6,8,4,14,2,18,1,8,1,18,2,14,7,3,4,14,13,7,1,8,1,15,1,18,1,8,8,10,5,8,17,18,4,8,2,18,3,14,8,7,9,14,3,7,2,8,32,10,1,4,332,19,6,4,1,18,2,14,1,18,1,8,54,10,3,8,4,18,4,8,3,18,1,7,1,14,3,8,19,10,2,8,3,10,2,8,4,10,3,8,1,10,2,8,22,10,14,4,24,18,1,10,2,8,1,18,3,8,5,7,1,14,1,3,1,14,2,8,1,10,2,8,1,18,1,8,2,18,1,14,2,8,1,10,6,8,1,10,9,8,1,10,3,8,25,10,4,8,16,10,4,8,61,10,5,8,21,10,3,8,7,10,5,8,16,10,41,8,5,10,13,8,3,10,5,8,2,10,4,8,2,10,2,8,1,10,8,8,1,10,37,8,11,10,10,8,1,10,11,8,4,15,2,8,6,10,3,8,2,10,49,8,2,},
{4,1900,19,6,4,3,10,2,8,1,18,6,8,1,18,1,14,2,18,1,8,1,18,1,14,7,3,5,14,13,8,2,14,2,18,1,8,7,10,4,8,25,18,3,14,6,7,1,18,6,8,1,18,2,7,1,18,2,8,6,7,3,18,1,8,3,18,3,8,11,10,1,8,7,4,332,19,5,4,2,18,1,3,1,14,1,18,1,8,55,10,1,8,4,18,6,8,4,7,1,14,2,8,17,10,4,8,3,10,1,8,5,10,6,8,22,10,15,4,24,8,2,18,4,8,4,7,1,14,2,17,1,14,1,18,1,10,3,18,2,8,2,18,1,14,1,18,1,8,1,10,16,8,28,10,5,8,12,10,1,8,1,10,5,8,81,18,1,8,5,10,4,8,7,10,5,8,22,10,34,8,5,10,14,8,3,10,5,8,3,10,3,8,2,10,11,8,1,10,39,8,7,10,12,8,1,10,10,8,4,15,2,8,7,10,3,8,2,10,27,8,2,10,21,8,1,},
{4,1900,19,6,4,6,18,7,14,3,18,1,8,1,18,1,14,2,3,1,14,5,3,3,14,14,8,2,14,2,18,1,8,8,10,2,8,27,18,3,14,5,7,1,18,4,8,13,18,1,7,3,18,1,8,3,18,1,7,2,18,1,8,3,18,3,8,7,18,3,8,1,18,1,4,332,19,5,4,1,18,1,3,2,14,1,18,1,8,41,10,1,8,19,18,4,8,6,14,1,18,1,8,8,18,4,8,5,10,4,8,2,10,2,8,5,10,6,8,9,10,2,8,11,10,16,18,1,4,22,18,5,8,4,18,1,7,1,14,2,17,1,14,1,8,1,10,2,8,1,18,2,8,2,18,2,8,1,10,2,18,1,10,14,8,28,10,6,8,9,10,7,8,34,10,5,8,50,10,4,8,7,10,4,8,23,10,34,8,4,10,15,8,3,10,6,8,3,10,2,8,2,10,17,8,3,10,33,8,3,10,14,8,1,10,9,8,5,15,2,8,2,10,3,8,2,10,2,8,3,10,4,8,1,10,22,8,2,10,22,},
{4,1900,19,6,4,11,18,3,14,1,18,2,8,1,18,2,14,12,15,1,14,11,8,2,18,5,8,37,18,10,8,14,18,1,7,3,8,4,18,1,7,2,18,1,8,3,18,3,8,7,18,6,4,331,19,5,4,1,18,1,3,2,18,1,8,42,10,2,8,37,18,6,8,1,18,1,8,2,10,4,8,2,10,2,8,4,10,7,8,22,10,4,8,1,10,10,8,2,18,1,4,21,18,2,8,7,7,2,14,4,8,1,10,2,8,2,18,1,8,4,10,2,18,2,10,13,8,29,10,6,8,9,10,5,8,35,10,7,8,13,7,4,8,31,10,5,8,35,10,31,8,6,10,4,8,2,10,9,8,3,10,6,8,3,10,2,8,2,10,15,8,4,10,60,8,10,10,3,8,2,10,2,8,2,10,15,8,1,10,12,8,2,10,12,8,1,10,9,},
{4,1901,19,5,4,2,19,6,4,4,18,4,8,2,18,2,14,10,15,1,8,3,14,5,7,1,14,4,7,1,8,2,18,4,8,43,18,8,7,6,18,1,8,3,18,3,8,6,18,1,7,1,18,1,8,5,18,3,8,4,18,3,8,2,18,2,4,331,19,5,4,1,18,4,8,41,10,3,8,38,18,4,8,5,10,3,8,3,10,1,8,5,10,7,8,22,10,4,8,2,10,10,8,1,10,1,4,20,18,3,8,8,7,2,14,3,8,1,10,1,8,3,9,1,8,2,10,4,8,2,10,8,8,25,10,1,8,1,10,4,8,3,10,6,8,9,10,5,8,23,10,5,8,8,10,5,8,14,7,4,8,7,18,1,7,3,8,16,10,9,8,2,18,1,8,32,10,31,8,5,10,5,8,1,10,11,8,2,10,6,8,3,10,13,8,2,10,3,8,5,10,61,8,9,10,3,8,6,10,10,8,4,18,2,8,1,10,11,8,1,10,12,8,3,10,8,},
{4,1904,19,1,4,3,19,7,4,4,18,4,8,1,18,3,14,3,18,1,8,3,18,2,8,4,14,5,7,2,14,3,7,1,8,3,18,3,8,30,18,4,8,9,7,3,18,3,7,3,14,4,7,3,8,2,18,3,8,6,18,3,8,5,18,3,8,3,18,4,8,2,18,2,4,331,19,5,4,1,18,3,8,58,18,1,8,38,10,2,8,4,10,9,8,21,10,4,8,2,10,13,18,1,4,16,18,3,8,11,7,2,14,2,8,4,10,3,8,1,10,4,8,1,10,9,8,21,10,11,8,3,10,5,8,37,10,6,8,7,10,3,8,26,18,2,7,2,8,16,10,10,8,2,18,1,8,4,18,1,14,3,18,1,8,24,10,30,8,4,10,7,8,1,10,10,8,2,10,6,8,3,10,12,8,3,10,2,8,5,10,46,8,3,10,9,8,1,10,5,8,7,10,3,8,6,10,10,8,1,18,5,8,1,10,20,8,7,10,8,},
{4,1908,19,8,4,4,18,10,8,9,7,1,14,5,7,2,14,3,7,1,8,4,18,1,8,32,18,4,8,5,18,3,14,2,7,2,18,2,7,2,14,2,7,1,14,1,7,2,14,1,7,1,18,4,8,7,18,3,8,12,18,8,4,330,19,5,4,1,18,4,8,56,18,2,8,37,10,3,8,4,10,2,8,2,10,5,8,20,10,5,8,2,10,12,8,1,10,1,4,12,10,3,18,4,8,1,10,1,8,9,7,2,14,2,8,4,10,2,8,3,10,13,8,21,10,10,8,5,10,3,8,52,10,1,8,27,18,2,8,18,10,10,8,7,18,1,14,3,8,17,10,2,8,8,10,29,8,2,10,8,8,2,10,4,8,2,10,10,8,4,10,12,8,3,10,1,8,2,10,50,8,3,10,9,8,2,10,6,8,5,10,3,8,6,10,10,8,1,18,1,14,2,18,1,8,1,10,12,8,2,10,6,8,7,10,9,},
{4,1908,19,8,4,5,18,4,8,3,18,1,8,8,7,2,14,6,7,6,8,8,10,3,8,28,18,7,14,5,7,1,18,4,7,9,18,4,8,7,18,5,8,12,18,2,14,1,18,3,4,331,19,4,4,1,18,4,8,68,7,3,8,24,10,2,8,9,10,5,8,20,10,20,8,1,4,12,10,3,18,3,8,1,10,1,8,5,7,1,8,3,7,2,14,3,15,1,8,1,15,1,8,1,10,2,8,1,18,1,8,1,10,1,8,1,10,11,8,6,10,2,8,14,10,1,8,2,10,5,8,7,10,2,8,104,10,6,8,7,18,1,14,2,15,1,8,17,10,2,8,9,10,38,8,2,10,3,8,3,10,10,8,4,10,12,8,3,10,1,8,2,10,29,8,2,10,19,8,3,10,8,8,3,10,7,8,3,10,5,8,6,10,1,8,1,10,8,8,1,18,2,8,1,10,13,8,3,10,4,8,8,10,2,8,3,10,4,},
{4,1911,19,5,4,5,8,2,18,2,8,12,7,1,14,6,7,2,8,2,7,2,8,8,10,10,8,16,10,2,8,5,18,4,14,3,3,2,14,2,7,1,18,1,8,3,18,4,8,4,7,1,14,2,18,1,8,8,18,2,7,2,18,2,8,11,18,1,14,2,3,1,18,2,4,331,19,3,4,2,18,5,8,67,7,1,14,1,7,1,8,19,18,2,8,2,10,2,8,11,10,4,8,8,10,32,9,1,18,1,4,11,10,2,8,5,10,1,8,4,7,7,14,3,15,3,8,1,9,1,8,2,18,1,8,3,10,3,8,1,10,2,8,11,10,2,8,19,10,2,8,15,10,1,8,98,10,5,8,9,15,2,8,17,10,4,8,8,10,54,8,6,10,12,8,3,10,1,8,1,10,27,8,5,10,19,8,2,10,9,8,3,10,18,8,7,10,7,8,3,10,13,8,5,10,1,8,3,15,3,8,3,10,1,8,5,10,3,},
{4,1921,8,8,18,1,8,7,18,1,7,1,14,4,7,1,8,11,10,14,8,1,10,1,8,11,10,2,8,8,18,3,14,7,18,2,8,11,18,1,14,2,7,1,8,8,18,2,7,3,18,1,8,12,14,2,3,1,18,2,4,331,19,4,4,1,18,6,8,5,10,1,8,16,10,2,8,42,7,1,14,1,7,1,8,19,18,2,8,2,10,1,8,11,10,6,8,6,10,27,8,2,10,4,8,1,9,1,18,1,4,9,10,1,8,6,10,2,8,5,7,5,14,4,15,2,8,2,15,1,18,1,8,1,10,7,8,1,10,2,8,7,18,3,8,2,10,1,8,37,10,2,8,41,10,1,8,46,10,5,8,2,10,4,8,29,10,5,8,4,10,41,8,1,10,13,8,8,10,13,8,2,10,30,8,5,10,30,8,2,10,4,8,2,10,9,8,2,10,1,8,2,15,5,8,1,10,8,8,1,10,10,8,13,15,1,14,2,15,1,8,3,15,1,14,1,15,1,8,3,10,2,},
{4,1920,10,2,8,1,18,2,8,4,18,2,8,24,10,7,8,5,10,6,8,21,18,9,8,10,18,2,7,1,14,2,7,1,8,8,18,3,7,2,18,1,8,5,18,3,8,5,14,2,18,2,4,331,19,4,4,2,8,1,18,4,8,3,10,2,8,16,10,3,8,35,18,1,7,1,8,5,7,1,14,1,7,2,8,18,18,2,8,1,10,2,8,10,10,7,8,5,10,3,8,5,10,3,8,5,10,12,8,2,10,4,8,2,9,1,10,1,4,6,18,4,8,3,10,3,8,7,7,2,14,1,6,2,14,1,7,1,15,3,9,1,8,1,15,2,10,8,8,1,10,3,8,5,18,1,14,3,18,1,8,39,10,3,8,38,10,4,8,46,10,10,8,29,10,5,8,4,10,39,8,3,10,9,8,1,10,3,8,7,10,4,8,1,10,42,8,2,10,38,8,2,10,8,8,5,15,1,14,4,15,1,8,1,10,3,8,2,10,3,8,1,10,10,8,1,18,3,8,3,15,7,14,4,8,1,15,1,14,4,15,1,8,2,10,1,},
{4,1921,10,1,4,3,18,1,8,3,18,2,8,5,10,2,8,17,10,2,8,12,10,4,8,36,18,1,8,3,18,2,7,1,14,2,18,1,8,6,18,2,7,1,18,4,8,6,18,3,8,5,18,4,4,331,19,4,4,2,10,1,8,5,10,4,8,1,10,1,8,14,10,3,8,35,18,2,8,6,7,2,8,19,18,2,8,1,10,1,8,11,10,7,8,5,10,2,8,7,10,1,8,6,10,9,8,1,10,3,8,1,10,14,18,5,8,2,10,2,8,5,18,1,7,1,14,6,15,4,8,1,9,2,18,2,10,3,8,1,10,8,8,4,18,1,14,4,18,1,8,12,10,2,8,26,10,2,8,33,10,1,8,4,10,4,8,44,10,12,8,4,10,2,8,10,18,1,8,11,10,48,8,4,10,9,8,2,10,1,8,8,10,69,8,1,10,6,9,1,10,9,8,3,10,6,8,7,15,1,14,4,15,1,8,2,10,1,8,3,10,2,8,7,10,4,8,2,18,1,15,2,8,3,7,1,14,10,15,2,14,4,15,1,8,3,},
{4,1925,18,4,8,7,10,2,8,16,18,1,10,2,8,13,10,3,8,2,18,4,8,25,7,5,18,7,8,9,7,6,8,7,18,4,8,2,18,6,4,330,19,5,4,2,10,3,8,2,10,4,8,2,10,4,8,11,10,1,8,64,18,4,10,2,8,12,10,5,8,7,10,10,8,4,10,6,8,2,10,2,8,2,10,9,8,3,10,4,8,14,15,1,14,1,3,5,14,1,15,1,8,1,15,3,18,1,8,1,10,14,8,6,7,4,8,75,10,1,8,52,10,13,8,3,10,3,8,21,10,6,8,1,10,42,8,5,10,10,8,11,10,40,8,2,10,25,8,2,10,15,8,4,10,2,8,13,15,3,8,3,10,1,8,8,15,2,8,3,10,1,8,2,15,2,8,5,7,1,14,10,7,1,15,4,8,3,10,2,},
{4,1926,18,3,8,6,10,4,8,12,10,2,8,1,18,2,10,1,8,6,10,2,4,8,18,6,8,24,7,6,18,1,8,14,7,2,14,2,7,3,8,8,18,7,3,1,18,3,4,331,19,4,4,1,10,4,8,2,10,4,8,2,10,5,8,8,10,2,8,64,18,4,10,2,8,13,10,5,8,8,10,11,8,17,10,3,8,19,18,1,8,3,15,1,14,2,3,3,14,2,15,1,18,2,14,2,18,1,8,1,10,11,8,1,10,2,8,7,7,1,8,73,10,1,8,4,10,1,8,45,10,2,8,4,10,13,8,3,10,4,8,16,10,2,8,3,10,5,8,2,10,41,8,6,10,8,8,12,10,41,8,2,10,25,8,4,10,13,8,8,18,2,8,2,10,3,8,5,15,3,8,2,10,2,8,2,15,1,7,2,15,2,7,3,8,4,7,4,8,3,7,2,14,9,7,1,15,1,8,9,},
{4,1928,18,2,8,6,10,4,8,10,10,3,8,1,18,2,10,1,8,6,10,1,4,10,10,3,8,26,7,5,8,16,18,1,7,5,8,8,18,8,3,1,18,3,4,331,19,4,4,2,10,3,8,3,10,3,8,2,10,2,8,11,10,2,8,64,18,3,8,1,10,2,8,13,10,5,8,8,10,10,8,26,10,1,8,15,15,2,14,5,15,1,8,2,18,2,14,1,3,1,14,1,8,1,10,15,8,81,10,2,8,49,10,4,8,1,10,12,8,5,10,4,8,16,10,2,8,4,10,4,8,2,10,41,8,6,10,8,8,10,10,43,8,2,10,25,8,4,10,17,8,7,10,6,8,2,18,1,15,1,14,1,15,1,8,4,10,2,8,1,7,1,14,1,15,2,7,3,8,4,7,2,14,1,7,6,14,1,7,9,8,10,},
{4,1929,18,2,8,5,10,4,8,10,10,4,18,1,8,1,10,1,8,6,9,1,4,10,10,7,8,3,18,3,8,15,7,5,8,17,7,5,18,1,8,8,18,8,3,1,18,3,4,330,19,5,4,2,10,2,8,5,10,2,8,15,10,1,8,65,18,2,8,1,10,1,8,16,10,4,8,8,10,10,8,25,10,2,8,10,18,3,8,1,18,1,14,4,15,1,8,2,10,3,8,1,14,3,15,1,10,16,8,80,10,5,8,48,10,1,8,1,10,12,8,6,10,4,8,17,10,4,8,4,10,1,8,2,10,42,8,6,10,7,8,9,10,45,8,1,10,29,8,1,10,18,8,4,10,8,8,3,15,3,8,4,10,2,8,1,15,1,14,1,15,5,8,3,15,1,7,1,14,4,7,8,8,16,},
{4,1922,19,3,4,4,18,2,8,5,10,3,8,12,10,3,18,1,8,1,10,1,8,6,9,1,4,10,10,1,8,2,10,6,8,1,18,5,8,13,7,5,8,16,18,1,7,2,8,14,18,10,4,330,19,5,4,1,10,1,8,7,10,2,8,13,10,3,8,65,18,2,8,1,10,1,8,16,10,4,8,8,10,10,8,25,10,2,8,8,14,2,3,1,14,5,3,2,14,1,8,1,10,4,8,1,18,1,14,2,18,1,8,1,10,15,8,81,10,4,8,10,10,1,8,40,10,11,8,5,10,4,8,20,10,4,8,6,10,40,8,10,10,2,8,12,10,106,8,10,10,2,8,1,15,1,14,1,15,1,8,7,15,1,7,1,14,3,7,8,8,10,15,7,},
{4,1922,19,5,4,3,18,1,8,4,10,4,8,13,10,2,8,1,10,2,8,6,9,1,4,11,8,1,9,1,8,3,10,4,8,1,18,5,8,9,7,8,8,6,18,2,8,7,18,1,8,21,18,6,4,331,19,3,4,2,10,1,8,8,10,1,8,12,10,5,8,41,18,1,8,24,10,1,8,17,10,4,8,8,10,3,8,3,10,4,8,34,18,1,14,1,3,4,14,3,3,1,14,1,8,1,10,5,8,1,15,1,14,2,8,1,10,15,8,55,10,2,8,24,10,5,8,10,10,2,8,39,10,9,8,6,10,5,8,15,15,1,18,1,8,3,10,5,8,5,10,2,8,2,10,35,8,25,10,105,8,4,10,4,8,6,15,1,14,1,15,1,8,6,15,2,7,2,14,2,7,10,8,7,7,1,14,2,15,5,},
{4,1922,19,6,4,3,18,1,8,3,10,4,8,14,10,4,8,6,10,1,4,13,18,1,10,1,18,1,10,5,8,2,18,3,8,8,7,8,8,5,18,5,8,5,18,2,8,23,18,4,4,336,18,1,8,8,10,2,8,4,10,1,8,6,10,5,8,41,18,1,8,23,10,2,8,10,10,3,8,4,10,4,8,8,10,3,8,4,10,3,8,29,10,3,8,2,18,1,14,6,3,2,14,1,8,1,10,5,8,1,18,1,14,2,15,1,8,1,10,15,8,42,10,1,8,37,10,5,8,11,10,2,8,39,10,8,8,2,18,1,8,3,10,6,8,14,18,1,7,1,18,1,8,3,10,5,8,5,10,2,8,2,10,35,8,17,10,2,8,7,10,103,8,4,10,7,8,4,15,3,8,4,15,5,7,20,14,4,15,4,},
{4,1922,19,7,4,3,10,7,8,14,10,4,8,6,9,1,4,19,18,1,10,3,8,1,18,3,8,7,7,3,8,1,7,4,8,5,18,5,8,4,18,3,8,23,18,4,4,336,18,1,8,8,10,2,8,4,10,1,8,6,10,5,8,64,10,2,8,10,10,4,8,4,10,5,8,6,10,4,8,4,10,3,8,29,10,1,8,5,18,5,14,3,18,1,10,6,18,1,15,1,14,1,18,1,8,1,10,16,8,39,10,4,8,38,10,2,8,12,10,4,8,38,10,8,8,4,10,7,8,2,18,1,8,13,7,2,18,1,8,3,10,4,8,4,10,3,8,2,10,35,8,17,10,4,8,5,10,6,8,1,10,82,8,3,10,10,8,5,10,7,8,3,15,4,8,3,15,1,7,2,15,2,8,2,15,2,7,8,14,5,7,1,14,6,15,2,8,3,},
{4,1923,19,7,4,2,10,1,8,3,10,5,8,12,10,9,8,1,9,1,4,20,8,2,10,2,8,1,18,3,8,11,7,2,8,5,18,1,7,3,18,2,8,3,18,4,8,19,18,3,8,1,18,3,4,337,18,1,8,8,10,2,8,12,10,4,8,63,10,3,8,10,10,4,8,4,10,5,8,5,10,6,8,1,10,5,8,38,18,3,8,1,10,7,8,1,15,2,18,1,8,1,10,11,8,3,10,3,8,3,7,1,8,35,10,5,8,51,10,3,8,39,10,8,8,3,10,8,8,16,18,3,8,3,10,3,8,5,10,3,8,3,10,33,8,6,10,4,8,9,10,3,8,5,10,6,8,1,10,47,8,1,10,34,8,4,10,9,8,6,10,6,8,3,15,5,8,1,7,5,15,1,8,3,15,1,7,10,14,9,15,2,8,4,},
{4,1923,19,8,4,2,18,1,10,1,18,2,10,3,8,14,10,4,8,2,10,2,8,1,18,1,4,20,10,1,8,2,10,3,8,2,18,3,8,14,18,1,7,4,18,2,8,2,18,5,8,21,18,4,4,337,18,2,8,7,10,3,8,12,10,4,8,63,10,2,8,11,10,5,8,3,10,21,8,13,10,1,8,17,18,3,8,8,10,5,8,2,18,4,8,1,10,11,8,10,7,1,8,35,10,4,8,52,10,2,8,25,10,3,8,6,10,12,8,4,10,8,8,18,18,1,8,1,18,2,8,1,10,3,8,4,10,4,8,3,10,33,8,4,10,7,8,8,10,3,8,5,10,54,8,2,10,2,8,2,10,2,18,2,10,2,8,2,10,23,8,3,10,7,8,10,10,3,8,3,15,5,7,7,15,1,8,1,15,1,7,14,14,5,15,1,8,6,},
{4,1924,19,7,4,4,18,3,8,16,10,4,8,1,10,3,8,1,18,1,4,20,18,1,9,1,8,1,10,4,8,1,18,4,8,12,18,2,7,3,18,3,8,2,18,5,8,7,18,2,8,13,18,2,4,338,18,2,8,7,10,2,8,13,10,4,8,51,10,3,8,8,10,3,8,1,18,1,8,9,10,5,8,3,10,20,8,27,10,2,8,2,18,3,8,8,10,5,8,1,18,1,15,1,18,2,8,2,10,12,8,42,10,1,8,24,10,1,8,31,10,2,8,1,10,1,8,25,10,6,8,3,10,10,8,7,10,9,8,20,18,1,8,2,10,1,8,4,10,6,8,2,10,34,8,3,10,7,8,9,10,3,8,3,10,55,8,4,18,1,8,1,10,6,18,2,10,24,8,3,10,5,8,12,10,2,8,2,15,6,7,1,15,1,7,5,15,2,7,2,14,1,7,14,14,2,15,1,8,7,},
{4,1925,19,7,4,6,18,1,8,15,10,3,8,2,10,2,8,2,18,1,4,21,18,1,8,3,10,2,8,1,18,5,8,11,18,5,8,5,18,5,8,7,18,6,8,6,18,5,4,338,18,3,8,6,10,2,8,13,10,4,8,51,10,3,8,8,10,2,8,12,10,5,8,2,10,17,8,31,10,2,8,10,10,8,18,1,14,1,18,1,8,2,10,11,8,44,10,2,8,23,10,3,8,30,10,2,8,28,10,6,8,1,10,10,8,12,10,7,8,4,10,7,8,15,10,6,8,3,10,34,8,3,10,3,8,12,10,3,8,3,10,13,8,2,10,42,8,1,18,3,10,3,18,1,10,1,8,1,18,1,8,1,10,24,8,3,10,5,8,1,15,3,8,12,15,3,14,3,15,1,8,3,15,1,7,2,15,2,7,1,14,2,7,16,8,8,},
{4,1926,19,8,4,6,18,1,8,14,10,1,8,2,10,2,8,3,18,1,4,21,18,1,9,1,8,2,10,3,18,5,8,11,18,5,8,4,18,6,8,6,18,18,4,337,18,4,8,6,10,1,8,14,10,4,8,33,18,1,8,17,10,3,8,7,10,3,8,12,10,24,8,40,10,10,8,2,18,1,8,1,10,12,8,44,10,3,8,22,10,4,8,30,10,1,8,32,10,3,8,1,10,8,8,10,15,1,18,1,8,3,10,6,8,4,10,9,8,12,10,7,8,3,10,34,8,18,10,4,8,2,10,12,8,4,10,41,8,1,18,2,8,1,10,2,18,1,10,2,8,2,10,25,8,3,10,4,8,1,15,1,14,2,15,2,8,11,15,3,14,2,15,2,8,4,15,4,7,1,14,2,7,3,14,10,7,1,15,1,8,9,},
{4,1927,19,9,4,4,18,4,8,14,10,2,8,4,10,1,18,1,4,20,9,1,8,3,10,2,18,5,8,11,18,5,8,6,18,2,8,9,18,3,14,1,18,13,4,337,18,1,3,2,18,1,8,5,10,2,8,13,10,4,8,5,7,1,8,55,10,3,8,13,10,24,8,39,10,8,8,1,18,2,8,2,10,15,8,25,7,4,8,13,10,4,8,22,10,3,8,26,10,1,8,1,10,1,8,27,10,3,8,9,10,6,8,11,18,1,14,3,8,2,10,4,8,5,10,12,8,6,10,1,8,2,10,47,8,15,10,5,8,2,10,11,8,5,10,41,18,3,8,1,10,19,8,3,10,8,8,4,10,4,8,2,15,1,14,3,15,2,8,6,15,3,8,3,15,1,14,3,8,5,15,5,7,3,14,12,15,1,8,10,},
{4,1928,19,9,4,6,18,1,8,12,18,1,8,2,10,1,8,5,10,1,8,1,4,19,9,1,8,4,10,2,8,1,18,1,8,5,18,4,8,1,18,8,8,18,18,2,14,1,18,4,8,4,18,5,4,337,3,3,18,1,8,5,10,2,8,13,10,4,8,3,7,4,8,20,18,1,8,20,10,4,8,9,10,3,8,13,10,24,8,40,10,6,8,1,18,3,8,1,10,17,8,26,7,3,8,11,10,6,8,46,10,7,8,8,10,2,8,5,18,1,8,6,10,8,8,10,10,4,8,13,15,1,14,1,15,1,8,2,10,3,8,4,10,9,8,2,10,4,8,4,10,9,8,3,10,23,8,3,10,13,8,15,10,4,8,3,10,11,8,5,10,41,18,2,8,1,10,19,8,4,10,6,8,5,10,4,8,2,15,3,14,2,15,2,8,5,15,1,14,3,8,4,14,3,15,1,8,4,15,1,7,2,15,1,8,1,15,2,14,6,7,5,15,2,8,3,15,2,8,5,10,1,},
{4,1929,19,8,4,7,8,15,10,1,8,5,10,2,18,1,4,18,9,1,8,4,10,6,8,1,18,10,8,23,18,9,8,2,10,4,4,338,18,1,3,1,18,2,8,27,7,5,8,39,10,5,8,9,10,2,8,14,10,25,8,39,10,4,8,1,18,4,8,1,10,3,8,1,18,1,8,1,10,12,8,27,7,2,8,11,10,6,8,10,10,2,8,33,10,10,8,6,10,1,8,13,10,9,8,19,15,3,8,5,14,2,18,1,8,1,10,2,8,5,10,8,8,1,10,6,8,4,10,9,8,2,10,21,8,3,10,16,8,8,10,2,8,6,10,3,8,3,10,10,8,6,10,41,8,2,10,5,8,2,10,12,8,5,10,6,8,1,15,2,8,2,10,3,8,3,15,1,8,2,15,3,8,6,15,1,14,2,15,1,8,1,10,1,8,2,14,2,15,1,8,5,15,3,8,3,7,1,14,5,7,2,8,17,},
{4,1930,19,10,4,4,18,1,8,14,10,3,8,3,10,1,18,3,4,17,9,1,8,2,10,8,18,11,8,8,18,7,8,8,18,10,10,5,4,339,18,2,8,31,7,5,8,8,18,1,14,1,7,1,15,1,8,24,10,5,8,7,10,4,8,11,18,1,8,2,10,25,8,26,18,1,8,2,10,1,8,4,10,2,8,5,18,2,15,1,14,2,18,2,8,1,9,1,8,1,18,1,14,2,18,1,10,11,8,42,10,2,8,41,10,5,8,1,10,4,8,3,10,5,8,24,10,5,8,3,15,2,8,4,15,1,18,1,8,7,14,3,15,1,8,4,14,3,18,1,8,7,10,8,8,1,10,5,8,2,10,1,8,1,10,32,8,1,18,2,8,1,10,15,8,9,10,3,8,9,10,11,8,5,10,50,8,2,10,14,8,4,10,3,8,21,15,5,8,6,15,2,8,6,15,2,8,5,7,4,8,3,7,4,8,14,},
{4,1931,19,11,4,3,18,2,8,14,10,2,8,1,10,2,18,3,4,17,10,1,8,2,10,2,8,2,10,6,18,9,8,8,18,7,8,8,18,10,10,6,4,339,18,1,8,9,10,2,8,21,7,5,8,7,18,1,7,1,14,1,15,1,8,19,10,2,8,5,10,3,8,5,10,1,8,1,10,3,8,2,10,1,8,9,18,1,8,2,10,25,8,28,10,2,8,4,10,2,8,4,15,1,14,5,18,1,8,4,18,1,3,2,18,1,10,10,8,6,10,1,8,55,10,2,8,20,10,7,8,2,10,3,8,3,10,5,8,12,10,1,8,14,10,1,8,4,15,2,8,3,15,3,8,7,14,4,15,1,8,3,14,3,18,1,8,6,10,8,8,2,10,5,8,1,10,35,8,1,18,2,8,1,10,12,8,6,18,2,8,4,10,2,8,10,10,11,8,1,18,2,8,2,10,56,18,1,10,16,8,21,15,1,14,3,15,1,8,9,10,2,8,2,7,2,15,1,8,4,15,2,7,2,8,4,7,4,8,7,10,1,8,6,},
{4,1936,19,7,4,3,18,1,10,1,8,7,10,1,8,5,10,2,8,1,10,2,8,1,18,1,10,4,4,14,9,1,8,8,10,4,8,1,18,8,8,8,18,7,8,3,18,1,8,4,18,8,8,1,10,7,4,339,10,1,8,23,7,5,8,6,7,3,8,9,18,1,8,35,10,1,8,2,10,3,8,1,10,2,8,8,10,1,8,2,10,26,8,28,10,4,8,5,18,3,15,3,18,6,8,1,18,3,8,1,10,10,8,84,10,6,8,3,10,3,8,4,10,4,8,31,15,3,8,3,18,1,15,1,8,9,15,7,14,2,15,1,8,2,10,2,8,2,10,9,8,3,10,40,8,1,18,2,10,8,8,1,10,5,8,5,18,3,8,3,10,1,8,4,10,2,8,5,10,10,8,5,10,46,8,1,10,9,8,1,10,18,8,20,15,1,14,5,15,1,8,11,15,1,7,2,15,4,7,6,8,4,7,1,8,15,},
{4,1936,19,9,4,3,10,1,8,12,10,8,8,1,10,3,18,1,4,12,8,11,10,3,18,7,8,9,18,2,8,2,18,3,8,2,18,3,8,6,18,5,10,7,4,340,10,2,8,20,7,8,8,6,7,1,8,49,10,2,8,2,10,2,8,10,10,29,8,23,10,2,8,2,10,4,8,2,18,5,8,1,18,2,8,4,18,2,10,2,8,1,18,1,8,3,10,6,8,85,10,6,8,11,10,3,8,25,15,6,8,16,10,1,8,4,15,2,14,2,15,1,8,2,10,15,8,1,18,1,8,2,10,37,8,5,10,2,8,3,10,3,8,1,10,4,8,6,18,3,8,3,10,2,8,3,10,2,8,5,10,10,8,4,10,46,8,2,10,29,8,9,10,3,8,7,15,1,14,5,15,1,8,3,10,1,8,6,15,2,7,1,14,6,7,1,8,2,7,3,8,19,},
{4,1937,19,10,4,1,18,4,8,6,18,2,8,2,10,2,8,6,10,4,4,12,10,3,8,8,10,3,18,8,8,8,18,2,8,2,18,3,8,2,18,3,8,6,18,5,10,7,18,1,4,339,10,1,8,18,7,7,14,3,7,1,8,13,10,1,8,38,10,2,8,2,10,2,8,14,10,30,8,21,10,9,8,4,18,2,8,2,18,1,8,2,10,3,18,2,10,2,8,3,18,2,8,2,10,4,8,85,10,7,8,10,10,1,8,15,10,1,8,11,15,5,8,12,10,2,8,9,15,1,14,1,15,1,8,1,10,17,8,1,18,2,8,2,10,7,8,2,10,21,8,1,10,5,8,7,18,2,8,1,10,6,8,9,18,2,8,3,10,2,8,3,10,2,8,4,10,11,8,3,10,47,8,3,10,30,8,6,10,10,8,3,15,1,14,1,15,2,8,2,10,4,8,3,15,5,14,5,15,2,8,24,},
{4,1937,19,1,4,2,19,7,4,3,18,3,8,3,18,5,8,1,10,3,8,6,10,3,4,2,18,2,4,8,10,4,8,7,10,3,8,1,18,3,8,1,18,3,8,8,18,2,8,2,18,3,8,2,18,3,8,6,18,6,8,3,10,4,4,339,10,1,8,8,18,2,8,5,7,4,14,9,7,1,8,13,10,1,8,10,10,1,8,26,10,3,8,2,10,2,8,9,10,1,8,5,10,29,8,21,10,9,8,4,18,2,8,4,10,4,18,1,8,1,10,2,8,1,18,3,14,1,18,1,8,1,10,3,8,87,10,8,8,8,10,2,8,12,10,4,8,27,10,2,8,5,10,1,8,4,15,1,8,1,10,18,8,2,18,1,8,2,10,35,8,2,18,2,8,3,18,3,8,1,10,5,8,14,10,3,8,4,10,1,8,3,10,6,8,1,10,56,8,1,10,32,8,4,10,12,8,7,10,4,8,2,15,1,14,3,7,1,15,3,14,3,15,2,8,21,15,3,14,1,},
{4,1940,19,9,4,3,18,2,8,2,18,3,8,1,18,1,8,1,10,3,8,10,9,1,8,1,9,4,10,9,8,9,10,2,8,5,18,1,8,9,18,2,8,2,18,3,8,2,18,2,8,2,10,2,8,2,18,9,8,1,10,3,4,340,10,1,18,3,8,11,7,4,14,10,7,2,8,50,10,3,8,2,10,2,8,3,10,1,8,5,10,1,8,5,10,29,8,16,10,2,8,4,10,4,8,2,10,3,8,3,18,3,8,3,10,4,8,2,10,2,8,1,18,3,3,1,14,1,8,1,10,3,8,46,10,5,8,36,10,8,8,7,10,4,8,10,10,4,8,28,10,2,8,12,10,20,8,2,10,36,8,2,18,2,8,3,18,2,8,1,10,6,8,4,10,2,8,8,10,5,8,5,10,6,8,3,10,88,8,3,10,13,8,4,10,6,8,2,15,2,14,3,7,1,15,7,8,13,10,2,8,7,15,1,14,3,},
{4,1941,19,10,4,2,18,2,8,2,18,3,8,3,10,3,8,17,10,7,8,10,10,4,8,3,18,1,8,7,18,3,8,2,18,3,8,2,18,2,8,2,10,2,8,1,18,6,3,2,18,3,10,4,4,339,18,3,7,1,8,11,7,4,14,3,7,10,8,49,10,2,8,3,10,2,8,3,10,7,8,6,10,28,8,10,10,1,8,5,10,2,8,5,10,9,8,3,18,3,8,1,10,4,8,2,10,3,18,1,14,1,18,2,14,1,18,1,8,1,10,2,8,25,7,2,8,19,10,6,8,38,10,5,8,50,15,1,14,2,8,1,10,3,8,11,10,4,8,3,10,52,8,1,18,1,8,1,10,2,8,4,10,6,8,4,10,2,8,7,10,1,8,3,10,3,8,4,10,6,8,2,10,60,8,2,10,51,8,4,15,6,8,4,15,1,8,14,10,3,8,6,15,1,14,4,},
{4,1948,19,5,4,1,10,1,8,1,18,7,8,2,10,3,8,17,10,3,8,14,10,3,8,1,18,4,8,3,18,5,8,2,18,2,8,3,18,2,8,2,10,2,8,1,18,5,3,4,18,2,10,3,4,323,19,5,4,12,18,2,7,2,8,11,7,17,8,50,10,1,8,4,10,1,8,3,10,7,8,6,10,27,8,11,10,1,8,5,10,2,8,5,10,8,8,1,18,6,8,1,10,3,8,1,18,1,10,4,18,1,3,1,18,1,8,1,18,1,8,1,10,3,8,24,7,4,8,18,10,8,8,4,10,7,8,17,10,1,8,40,15,1,7,1,8,10,15,5,8,4,15,1,14,3,15,1,10,7,8,2,15,2,8,3,10,2,8,5,10,53,8,1,10,4,8,2,10,13,8,6,10,2,8,4,10,3,8,4,10,119,8,2,18,1,15,2,8,15,15,2,8,17,15,1,14,4,},
{4,1948,19,5,4,3,18,9,8,1,10,2,8,17,10,3,8,15,10,2,8,1,18,4,8,2,18,2,14,2,18,2,8,2,18,2,8,3,18,2,8,2,10,2,8,2,18,4,3,3,18,4,8,1,10,1,4,322,19,6,4,11,18,3,7,3,8,8,18,1,8,2,7,5,8,6,7,6,8,48,10,2,8,3,10,2,8,2,10,8,8,6,10,26,8,26,10,7,8,1,15,1,14,1,8,2,18,2,8,1,10,3,18,2,10,3,8,1,18,1,14,1,8,1,10,1,8,1,10,4,8,14,10,2,8,8,7,3,8,19,10,21,8,15,10,6,8,9,10,3,8,21,7,4,8,8,15,1,7,1,14,4,15,5,14,1,3,1,16,2,14,1,10,7,8,3,7,2,8,8,10,21,8,1,10,52,8,2,18,1,8,2,10,3,8,4,10,3,8,5,10,59,8,1,10,58,8,2,18,1,15,2,8,15,15,1,14,1,15,2,8,15,14,5,},
{4,1948,19,6,4,7,18,4,8,2,10,2,8,16,10,3,8,15,10,2,8,1,18,7,14,3,18,2,8,2,18,3,8,2,18,2,8,7,18,12,4,322,19,6,4,10,18,4,7,2,8,2,7,1,8,4,18,3,8,13,7,6,8,48,10,3,8,2,10,2,8,2,10,8,8,6,10,25,8,21,18,2,8,5,10,4,8,1,10,1,8,1,14,1,18,1,10,2,8,2,10,3,8,1,18,2,10,4,18,2,10,6,8,15,10,2,8,8,7,2,8,20,10,21,8,15,10,18,8,5,7,1,8,15,7,4,8,5,15,2,7,1,14,12,3,1,16,2,14,1,8,1,10,6,8,13,10,20,8,4,10,34,8,2,10,14,8,5,10,3,8,4,10,2,8,6,10,60,8,1,10,8,8,2,10,46,8,9,10,2,8,8,15,4,14,2,15,2,8,12,7,1,14,5,},
{4,1949,19,8,4,5,18,4,8,1,10,6,8,12,10,2,8,16,10,2,8,1,18,7,14,3,18,3,8,1,18,2,8,4,18,2,8,7,18,5,8,2,18,4,4,322,19,5,4,11,18,4,8,3,7,4,8,1,18,2,14,2,7,1,8,12,7,6,8,14,10,1,8,33,10,3,8,2,10,2,8,2,10,8,8,5,10,26,8,20,18,3,8,5,10,4,8,1,10,1,8,1,18,2,10,3,8,1,10,2,8,1,18,3,10,4,18,1,8,1,10,5,8,16,10,3,8,29,10,20,8,17,10,15,8,5,7,3,8,15,7,4,8,4,7,1,14,9,7,1,14,5,3,2,16,1,14,1,8,1,10,5,8,13,10,15,8,2,10,4,8,4,10,33,8,3,10,14,8,5,10,3,8,4,10,2,8,6,10,60,8,3,10,6,8,2,10,45,8,10,10,1,8,9,15,2,8,1,15,1,14,3,15,1,8,11,15,2,14,3,15,2,},
{4,1952,19,7,4,3,18,5,8,4,10,3,8,11,10,2,8,8,10,5,8,3,10,2,8,2,18,6,14,3,18,3,8,1,18,2,8,4,18,1,8,9,18,3,8,3,18,5,4,321,19,3,4,12,18,4,7,1,8,3,7,6,14,3,7,1,8,2,7,11,8,53,10,3,8,1,10,13,8,3,10,10,8,1,10,17,8,19,18,1,14,1,18,1,8,6,10,3,8,2,10,2,8,2,10,6,8,2,18,1,10,12,8,17,10,2,8,28,10,18,8,19,10,15,8,6,15,3,8,15,7,3,8,5,7,1,14,7,7,3,14,7,3,1,14,1,8,18,10,22,8,3,10,24,8,3,10,6,8,1,18,2,8,1,10,9,8,1,10,5,8,4,10,3,8,4,10,2,8,6,10,2,8,3,10,55,8,3,10,6,8,2,10,44,8,25,15,1,14,2,15,1,8,11,7,2,15,1,7,2,8,2,},
{4,1952,19,8,4,2,18,11,10,3,8,9,10,3,8,4,10,8,8,3,10,3,8,1,18,7,14,2,18,6,8,15,18,10,4,333,18,7,7,2,8,3,7,21,8,14,7,1,8,40,10,2,8,2,10,25,8,2,10,17,8,17,14,3,8,6,10,3,8,3,10,2,8,2,10,5,8,3,10,11,8,6,10,1,8,12,10,3,8,1,10,2,8,9,10,2,8,12,10,17,8,13,10,5,8,2,10,9,8,3,10,4,8,5,15,2,8,16,7,9,14,7,7,4,14,9,8,5,7,1,14,1,7,1,8,5,15,2,8,2,10,7,8,2,10,14,8,2,10,24,8,4,10,6,8,3,10,17,8,6,10,2,8,14,10,55,8,4,10,6,8,1,10,44,8,3,18,1,8,22,15,4,8,6,15,1,8,3,15,4,7,1,8,3,},
{4,1952,19,9,4,2,18,13,10,5,8,4,10,7,8,1,10,14,8,2,18,7,14,1,18,6,8,9,18,1,8,4,18,10,4,324,18,3,4,5,3,4,18,3,14,1,7,2,8,3,7,6,8,1,7,13,8,60,10,12,8,1,10,11,8,4,10,17,8,15,14,3,18,1,8,6,10,2,8,4,10,2,8,2,10,2,8,5,10,4,8,2,10,5,8,20,10,7,8,7,10,3,8,12,10,17,8,12,10,6,8,1,10,9,8,9,7,4,8,4,10,3,8,10,7,8,14,9,7,2,14,10,15,1,8,1,10,2,8,1,15,1,14,3,8,4,7,1,14,2,8,2,10,7,8,2,10,13,8,1,18,1,8,1,10,24,8,5,10,11,8,3,10,12,8,5,10,3,8,8,18,2,8,2,10,7,8,3,10,45,8,2,10,3,8,5,10,29,8,2,10,14,8,28,15,6,8,2,15,6,8,1,15,2,7,1,8,3,},
{4,1952,19,9,4,3,18,16,8,1,10,26,8,2,18,13,8,15,18,2,3,5,18,4,4,322,18,4,4,4,18,1,3,5,18,2,14,1,7,2,8,4,7,4,18,2,7,13,8,61,10,24,8,3,10,17,8,11,10,1,8,2,14,4,8,6,10,3,8,3,10,2,8,8,10,1,8,1,10,4,8,2,10,4,8,21,10,8,8,5,10,4,8,8,10,21,8,10,10,17,8,9,7,1,14,1,7,1,8,6,10,2,8,3,15,1,7,1,8,5,7,3,14,2,7,1,14,12,7,1,14,5,7,1,15,2,14,1,15,1,8,2,10,3,8,1,15,1,14,3,15,1,8,2,7,2,15,1,18,1,8,2,10,7,8,3,10,3,8,1,10,6,8,5,10,24,8,5,10,6,8,8,10,12,8,6,10,2,8,3,10,2,8,6,10,7,8,2,10,45,8,4,10,3,8,5,10,43,8,11,10,1,8,20,15,2,14,3,15,2,7,2,14,2,15,1,8,1,15,2,7,2,8,2,},
{4,1958,19,5,4,1,18,2,8,11,18,5,8,1,10,5,8,5,10,7,8,9,18,2,14,2,18,2,8,3,7,1,14,3,8,2,10,1,8,5,10,5,8,1,18,2,3,8,18,6,4,316,10,1,8,2,18,8,3,1,14,6,7,2,8,7,7,17,8,34,10,1,8,27,10,12,8,2,10,9,8,3,10,20,8,7,10,2,8,1,14,1,3,2,14,1,18,1,8,5,10,4,8,2,10,2,8,7,10,3,8,2,10,9,8,15,10,12,8,4,10,5,8,10,10,7,8,1,10,16,8,6,10,4,8,4,10,6,8,12,15,1,14,2,7,1,8,2,10,3,8,6,7,2,8,5,7,2,14,23,15,3,8,2,10,5,8,2,15,1,18,3,14,1,18,1,8,3,10,10,8,2,10,12,8,3,10,25,8,3,10,7,18,1,3,2,18,2,8,4,10,10,8,15,10,65,8,11,10,38,8,15,15,1,8,12,7,1,8,3,7,19,},
{4,1958,19,5,4,2,10,2,8,11,7,1,18,4,8,6,18,3,8,16,18,1,7,1,14,2,7,1,18,1,8,4,7,1,14,2,7,1,8,2,10,2,8,2,18,1,8,1,10,5,18,2,3,8,14,1,18,2,8,4,18,1,4,315,8,2,7,16,8,10,7,2,14,2,7,7,8,3,7,2,8,34,10,2,8,5,10,2,8,19,10,11,8,3,10,9,8,3,10,15,8,3,10,3,8,5,10,3,8,1,14,3,15,1,8,6,10,3,8,4,18,3,10,2,8,2,10,5,8,1,10,7,8,16,10,12,8,5,10,4,8,9,10,4,8,6,10,7,8,6,10,7,8,2,10,3,8,5,10,5,8,13,15,1,7,3,8,2,10,3,8,3,7,2,8,1,7,4,8,3,7,2,14,12,7,4,14,7,15,3,8,1,10,2,8,2,10,3,8,5,18,2,8,1,10,13,8,1,10,50,18,1,3,3,18,1,8,1,10,1,8,3,10,8,8,3,10,3,8,5,10,23,8,1,10,33,8,1,10,11,8,1,10,5,8,6,10,41,8,11,15,3,8,11,7,23,},
{4,1958,19,6,4,1,10,2,8,11,18,10,14,5,18,8,8,1,18,3,8,2,18,2,7,1,14,1,18,1,8,5,7,4,18,1,8,3,10,1,8,4,10,2,8,1,18,5,3,1,18,7,8,7,18,1,4,4,19,3,4,307,8,1,7,7,14,2,7,3,8,15,7,2,14,1,7,2,8,2,7,4,8,41,10,7,8,19,10,11,8,2,10,10,8,6,10,5,8,1,10,6,8,4,10,2,8,4,10,1,8,3,15,1,14,2,8,2,10,1,8,5,10,4,8,1,18,1,14,1,3,2,14,1,10,2,8,2,10,13,8,14,10,15,8,4,10,4,8,7,10,4,8,6,10,4,8,11,10,2,8,1,10,10,8,4,10,5,8,16,7,2,8,6,7,9,8,1,7,2,14,8,7,6,15,5,14,5,15,2,7,1,8,2,10,5,8,5,10,1,8,2,10,65,18,1,14,2,18,1,8,1,10,2,8,3,10,15,8,4,10,19,8,4,10,52,8,6,10,31,8,1,10,10,8,10,15,3,8,13,7,14,14,1,7,6,},
{4,1958,19,6,4,2,10,2,8,11,18,12,14,9,18,8,7,1,14,2,7,1,18,1,8,3,7,1,14,1,7,2,18,1,8,10,18,7,3,1,18,3,8,11,18,1,4,3,19,5,4,305,18,2,7,2,14,7,7,1,8,14,7,1,8,3,7,4,8,3,7,2,8,42,10,7,8,19,10,9,8,2,10,12,8,6,10,3,8,3,10,5,8,5,10,1,8,1,10,6,8,1,18,1,14,1,15,1,8,2,10,3,8,4,10,4,8,1,18,1,3,3,14,1,10,2,8,2,10,14,8,10,10,18,8,4,10,4,8,7,10,4,8,6,10,4,8,14,10,8,8,2,10,8,8,17,7,1,14,2,7,1,8,3,7,13,14,7,7,2,8,5,15,12,14,1,15,1,8,4,10,1,8,6,10,51,8,1,10,16,8,1,18,1,8,2,10,4,8,2,10,16,8,2,10,8,8,4,10,7,8,4,10,55,8,4,10,31,8,2,10,7,8,11,15,3,8,8,7,3,8,3,7,3,14,6,7,4,14,4,7,4,},
{4,1958,19,7,4,1,10,2,8,4,10,4,8,4,18,3,8,8,18,2,14,7,18,1,8,2,18,4,7,1,14,5,8,3,14,2,7,2,8,11,18,2,3,1,18,8,8,4,18,2,8,5,10,1,4,3,19,5,4,305,18,2,14,5,17,3,14,1,7,1,8,5,7,3,8,3,7,4,8,4,7,2,8,4,7,3,8,42,10,6,8,18,10,9,8,3,10,13,8,5,10,3,8,3,10,5,8,5,10,1,8,2,10,5,8,2,15,1,8,3,10,2,8,4,10,5,8,1,18,1,3,3,18,1,10,2,8,2,10,11,8,12,10,20,8,14,10,3,8,7,10,5,8,3,10,1,8,6,10,1,8,2,10,7,8,3,10,8,8,16,7,1,14,3,7,1,8,3,7,2,14,5,7,1,8,2,7,2,14,3,17,2,14,3,7,2,8,5,7,1,15,12,8,12,10,60,8,2,10,6,8,2,10,24,8,1,10,9,8,5,10,6,8,3,10,57,8,2,10,32,8,1,10,7,8,23,7,3,8,3,7,2,14,6,7,5,14,5,7,3,},
{4,1959,19,6,4,2,10,1,8,4,10,6,8,15,18,1,14,6,18,1,8,5,18,2,7,1,14,5,7,1,14,3,7,1,8,3,18,4,8,5,18,11,8,4,18,3,8,3,10,2,4,3,19,5,4,304,18,2,3,1,17,1,14,4,17,3,14,1,7,1,8,5,7,1,14,1,7,8,8,9,7,4,8,45,10,1,8,19,10,10,8,3,10,15,8,3,10,3,8,2,10,6,8,4,10,2,8,2,10,5,8,10,10,4,8,4,18,1,14,1,3,1,14,1,8,1,10,2,8,2,10,10,8,13,10,20,8,23,10,26,8,2,10,8,8,17,14,4,7,1,8,3,7,1,14,6,7,1,8,2,7,2,14,8,7,2,8,4,7,4,15,2,8,5,15,1,8,14,10,1,8,1,10,14,8,3,10,40,8,3,10,41,8,5,10,43,8,2,10,59,8,28,7,3,8,2,7,3,14,6,7,5,14,4,7,4,},
{4,1960,19,5,4,2,10,1,8,4,10,7,8,14,18,2,14,5,8,7,18,2,14,9,7,1,8,2,18,2,14,1,18,2,8,4,18,13,8,3,18,3,8,3,10,3,4,2,19,6,4,303,18,1,3,2,17,1,14,8,7,1,8,5,14,3,7,7,8,6,7,8,8,44,10,1,8,18,10,11,8,2,10,29,8,4,10,3,8,3,10,5,8,3,18,1,14,1,15,1,18,1,8,1,10,3,8,7,18,2,8,1,10,3,8,2,10,9,8,11,10,2,8,2,10,10,8,4,10,5,8,20,10,28,8,3,10,8,8,16,7,1,14,4,7,1,8,2,7,1,14,7,7,1,8,2,7,3,14,7,7,2,8,2,7,4,14,2,15,2,8,5,15,1,8,2,10,2,8,2,15,4,8,7,10,13,8,3,10,40,8,2,10,10,8,3,10,29,8,3,10,44,8,3,10,8,8,1,10,49,8,33,7,5,14,3,7,7,14,3,7,5,},
{4,1960,19,5,4,2,10,1,8,5,10,6,8,15,18,2,14,3,18,1,8,8,18,1,14,7,7,2,8,4,18,4,8,4,18,2,8,2,18,2,8,3,18,5,8,1,18,2,14,1,18,2,8,3,10,3,4,1,19,7,4,301,18,1,3,3,14,5,7,5,8,4,7,1,14,1,17,1,14,1,7,10,8,3,7,4,14,2,7,6,8,21,10,2,8,12,10,10,8,14,10,10,8,3,10,28,8,5,10,4,8,2,10,4,8,4,18,1,14,2,18,1,8,1,10,3,8,8,10,3,8,3,10,9,8,11,10,3,8,3,10,7,8,6,10,5,8,10,10,1,8,9,10,23,8,2,10,2,8,4,10,7,8,17,7,2,14,1,7,2,8,2,7,2,14,6,7,2,8,3,7,10,8,2,7,4,14,3,15,2,8,5,15,1,8,1,10,3,8,3,15,3,18,1,8,5,10,39,8,1,10,29,8,1,18,1,8,1,10,75,8,4,10,21,8,3,10,33,8,2,18,2,8,20,7,7,8,1,7,12,14,6,7,7,},
{4,1960,19,4,4,2,18,2,8,4,10,6,8,4,18,1,8,6,18,2,8,4,18,7,8,6,18,2,14,6,7,1,8,5,18,3,8,9,18,2,8,3,18,2,14,2,18,4,14,2,18,1,8,4,10,2,4,2,19,6,4,300,18,1,3,3,14,5,7,2,8,2,7,1,8,1,7,4,14,3,7,2,8,3,7,21,8,21,10,4,8,8,10,12,8,14,10,9,8,4,10,27,8,6,10,3,8,3,10,3,8,3,18,1,8,1,18,2,15,1,18,1,8,1,10,3,8,3,10,2,8,2,10,4,8,2,10,10,8,3,18,1,8,7,10,3,8,4,10,5,8,7,10,4,8,21,10,23,8,3,10,1,8,4,10,6,8,24,7,2,14,4,7,7,8,8,7,1,8,4,7,4,14,2,7,1,15,1,8,5,15,1,7,1,8,2,10,2,8,4,18,3,8,3,10,41,8,1,10,29,8,1,18,1,8,1,10,2,8,1,10,39,8,1,10,33,8,2,10,20,8,6,10,32,8,2,15,2,8,20,7,18,14,7,7,8,},
{4,1966,18,2,10,3,8,1,10,5,8,11,18,2,8,9,18,2,14,1,18,3,8,1,18,5,14,1,7,4,8,18,18,2,8,4,18,1,14,3,18,2,14,1,7,4,8,4,10,2,4,2,19,5,4,299,18,2,3,3,14,1,7,1,14,2,7,1,8,6,7,2,14,5,7,1,8,3,7,2,14,4,7,17,8,19,10,6,8,5,10,14,8,14,10,9,8,3,10,28,8,8,10,1,8,1,10,4,8,3,18,2,8,6,10,4,8,1,10,3,8,2,10,3,8,3,10,7,8,14,10,3,8,4,10,5,8,6,10,5,8,22,10,22,8,2,10,12,8,14,10,3,8,7,7,1,14,4,7,2,8,2,7,5,8,12,7,6,15,2,8,5,15,1,7,1,15,1,8,8,18,1,8,2,10,56,8,2,10,11,8,1,10,3,8,2,10,2,8,2,10,22,8,2,10,14,8,2,10,55,8,6,10,32,8,2,18,1,8,21,7,2,14,3,7,4,14,2,7,7,14,5,17,1,14,1,7,1,8,1,7,6,},
{4,1969,10,2,8,3,10,4,8,6,10,2,8,13,18,1,14,3,18,9,8,17,18,7,8,4,18,1,14,7,18,1,7,2,8,4,10,2,4,2,19,6,4,298,18,2,3,3,14,1,7,1,14,1,7,2,8,5,7,2,14,5,7,2,8,3,7,1,14,6,7,4,8,3,7,8,8,22,10,1,8,2,10,2,8,3,10,15,8,14,10,8,8,4,10,5,8,1,10,3,18,1,10,18,8,10,10,4,8,2,18,2,8,2,10,3,8,2,10,8,8,2,10,2,8,3,10,6,8,10,10,10,8,2,10,6,8,3,10,7,8,27,10,2,8,12,10,2,8,1,10,14,8,14,10,5,8,5,7,3,14,1,7,2,8,3,7,6,8,8,7,9,15,2,8,7,15,1,8,12,10,4,8,1,10,51,8,2,10,10,8,2,10,7,8,2,10,38,8,1,10,46,8,1,10,9,8,6,10,30,8,26,7,2,14,4,7,3,14,2,7,7,14,4,17,2,14,1,7,1,8,2,7,1,8,1,7,3,},
{4,1970,10,1,8,8,10,8,8,13,18,1,14,1,18,4,14,3,18,2,8,18,18,3,8,9,18,1,14,5,18,1,8,9,10,1,4,1,19,7,4,296,18,4,14,2,7,5,8,5,7,2,14,5,7,3,8,1,7,2,14,5,7,4,8,4,7,3,8,2,7,3,8,31,10,14,8,14,10,7,8,5,10,5,8,2,10,15,8,16,10,3,8,3,18,2,8,1,10,14,8,1,10,3,8,2,10,6,8,9,10,12,8,1,10,7,8,3,10,7,8,27,10,2,8,15,10,13,8,16,10,3,8,7,7,4,8,4,7,7,8,6,7,9,15,2,8,20,10,17,8,2,10,20,8,1,10,17,8,2,10,9,8,3,10,7,8,1,10,12,8,3,10,20,8,3,10,47,8,3,10,44,8,26,7,3,14,8,7,7,14,7,7,1,8,7,},
{4,1964,19,4,4,2,10,1,8,8,10,8,8,13,18,2,8,1,18,3,14,4,18,2,8,17,18,3,8,1,10,6,8,3,18,5,8,10,10,1,4,3,19,5,4,296,18,6,7,5,8,5,7,3,14,4,7,6,14,3,7,6,8,4,7,2,8,4,7,2,8,31,10,14,8,15,10,6,8,5,10,4,8,3,10,13,8,18,10,2,8,6,10,6,8,1,10,6,8,2,10,4,8,2,10,6,8,7,10,22,8,3,10,8,8,43,10,12,8,8,15,1,8,9,10,1,8,3,7,2,8,10,7,9,8,4,7,3,14,3,7,4,15,1,8,14,15,1,18,3,8,2,10,8,8,1,10,8,8,5,10,16,8,5,10,26,8,3,10,4,8,1,10,11,8,1,10,3,8,3,10,19,8,4,10,47,8,3,10,44,8,2,18,1,8,23,7,4,14,6,7,7,14,8,7,1,8,7,},
{4,1962,19,6,4,2,10,1,8,8,10,8,8,3,10,4,8,12,18,1,14,3,18,4,7,3,8,16,10,5,8,5,18,3,8,6,7,1,8,4,10,1,4,3,19,5,4,295,18,4,7,1,8,2,7,14,14,4,7,15,8,2,7,3,8,11,10,1,8,26,10,13,8,15,10,6,8,4,10,5,8,3,10,11,8,13,10,2,8,5,10,1,8,8,10,4,8,3,10,18,8,3,18,1,8,4,10,11,8,3,10,6,8,5,10,8,8,5,10,3,8,32,10,13,8,9,15,2,7,1,8,12,7,2,8,10,7,14,14,3,7,3,8,17,14,2,18,3,8,2,10,7,8,2,10,8,8,5,10,12,8,9,10,19,8,1,10,6,8,4,10,2,8,2,10,16,8,2,10,19,8,4,10,18,8,2,10,27,8,2,10,4,8,3,10,38,8,22,7,8,6,4,14,2,7,7,14,7,7,2,8,7,},
{4,1962,19,6,4,2,10,1,8,9,10,15,8,12,18,1,14,4,7,1,14,3,7,1,8,16,10,4,8,1,18,1,14,2,18,6,8,3,7,4,18,1,8,2,10,2,4,3,19,7,4,292,18,2,14,3,7,1,18,1,7,3,14,1,7,3,14,3,7,2,8,1,7,2,14,3,7,6,8,5,7,1,14,2,7,6,8,11,10,1,8,28,10,10,8,9,7,1,8,7,10,4,8,5,10,4,8,5,10,10,18,3,8,2,10,2,8,6,10,3,8,7,18,1,8,1,10,2,8,9,10,9,8,2,10,1,8,1,10,2,8,10,10,12,8,3,10,6,8,6,10,7,8,4,10,4,8,13,10,2,8,15,10,15,8,3,7,1,8,5,15,2,8,13,7,2,8,6,7,3,8,5,7,3,14,3,7,8,8,10,15,5,8,2,15,1,14,3,8,5,10,6,8,3,10,10,8,2,10,13,8,3,18,1,8,5,10,14,8,1,10,4,8,1,10,2,8,3,10,1,8,1,18,1,8,2,10,2,8,2,10,4,8,2,10,32,8,3,10,17,8,4,10,3,8,4,10,24,8,5,10,7,8,3,10,26,8,23,7,7,14,1,6,1,17,3,14,2,7,6,14,7,7,4,8,5,10,1,},
{4,1962,19,6,4,2,10,1,8,10,10,14,8,11,18,2,14,8,7,1,8,17,10,2,8,2,18,1,14,2,18,1,8,7,7,4,8,5,10,2,4,4,19,7,4,289,18,2,3,2,14,2,7,7,14,5,7,2,8,2,7,2,14,1,7,4,8,8,7,10,8,37,10,12,8,9,7,1,8,7,10,5,8,4,10,3,8,7,10,8,8,1,18,3,8,1,10,4,8,5,10,3,8,9,10,3,8,8,10,9,8,2,10,1,8,1,10,2,8,9,10,7,8,2,10,1,8,6,10,2,8,10,10,7,8,4,10,4,8,12,10,4,8,8,10,19,8,4,7,2,8,5,15,1,7,2,8,10,7,1,8,9,7,4,8,4,7,2,14,5,7,4,8,12,15,6,8,1,15,1,14,4,18,1,8,4,10,6,8,2,10,26,8,2,18,2,8,1,10,27,8,1,10,3,8,3,10,8,8,2,10,52,8,3,10,3,8,5,10,24,8,4,10,36,8,24,7,8,14,2,6,2,14,2,7,5,14,8,7,4,8,4,10,2,},
{4,1962,19,6,4,2,18,1,8,11,10,12,8,6,14,2,3,3,14,9,18,2,8,33,7,2,8,6,10,3,4,4,19,8,4,288,18,1,3,3,14,1,7,4,14,1,7,2,14,5,7,10,8,12,7,8,8,31,10,1,8,5,10,5,8,2,10,6,8,16,10,6,8,8,18,3,8,1,10,9,18,3,8,1,10,6,8,1,15,1,8,3,10,2,8,1,15,1,18,1,8,1,10,1,8,4,18,2,8,1,10,2,8,3,10,12,8,1,10,5,8,8,10,9,8,7,10,3,8,10,10,9,8,29,10,16,8,15,7,5,8,7,7,4,8,6,7,8,14,7,7,2,8,15,15,2,7,1,8,5,15,1,14,1,18,3,14,2,18,1,8,1,10,34,8,4,10,83,8,3,10,87,8,2,18,1,15,1,8,13,7,2,8,3,7,13,14,2,7,3,14,13,7,1,8,6,},
{4,1962,19,6,4,2,18,1,8,12,10,10,8,7,14,1,3,5,14,7,18,2,8,19,18,2,8,23,10,2,4,4,19,7,4,287,18,2,3,2,14,2,7,3,14,2,7,2,14,4,7,9,14,1,7,1,8,14,7,6,8,36,10,5,8,3,10,6,8,17,10,7,8,7,18,1,8,2,10,9,18,2,8,1,10,7,8,1,14,1,15,2,8,4,14,1,18,1,10,5,8,1,18,2,10,16,8,2,10,6,8,7,10,11,8,6,10,2,8,11,10,10,8,24,10,1,8,3,10,14,8,17,7,4,8,8,7,3,8,1,7,14,14,5,7,3,8,16,15,2,7,1,8,4,15,1,14,2,18,2,14,3,18,1,8,1,10,34,8,3,10,83,8,4,10,86,8,3,15,2,7,1,8,9,7,6,8,1,7,15,14,1,7,1,14,15,8,3,10,2,8,2,},
{4,1962,19,6,4,2,10,1,8,12,10,1,8,2,10,7,8,5,10,2,8,1,18,1,14,1,3,3,14,6,18,4,8,21,10,4,8,19,10,3,4,2,19,7,4,147,19,5,4,45,19,3,4,86,18,3,3,2,14,1,7,2,8,1,7,1,14,8,7,5,14,1,7,2,14,2,7,2,8,4,7,3,8,7,7,6,8,34,10,15,8,17,10,6,8,3,18,2,8,7,10,8,8,1,18,1,8,1,10,4,8,1,10,1,8,1,15,1,14,4,15,1,8,2,15,1,8,1,10,5,8,3,10,17,8,1,10,5,8,9,10,12,8,19,10,9,8,19,10,4,8,4,10,12,8,11,7,4,8,14,7,4,8,2,7,2,14,4,7,7,14,4,7,3,8,18,15,2,7,1,15,1,8,3,15,1,14,2,18,2,14,3,18,1,10,36,8,1,10,55,8,2,10,25,8,5,10,3,8,1,10,38,8,1,10,43,8,5,15,1,7,2,8,7,7,14,14,3,7,4,14,12,7,1,14,5,7,1,8,2,10,3,8,2,},
{4,1962,19,5,4,3,10,1,8,17,10,5,8,4,10,4,8,2,18,1,14,2,18,5,8,3,18,2,8,20,10,5,8,20,10,3,4,2,19,6,4,146,19,6,4,44,19,5,4,7,19,6,4,72,18,3,3,1,14,2,7,2,8,1,7,1,14,8,7,5,14,5,7,2,8,4,7,4,8,7,7,5,8,27,10,1,8,6,10,15,8,18,10,5,8,2,15,1,14,2,18,1,8,1,10,2,8,4,10,7,8,3,10,4,8,3,14,6,15,1,8,3,10,4,18,1,14,1,18,1,8,1,10,16,8,3,10,4,8,12,10,12,8,17,10,9,8,16,10,6,8,26,7,7,8,8,7,3,14,1,7,4,8,1,7,2,14,6,7,6,14,3,7,2,8,20,15,2,7,5,14,3,18,5,8,1,10,89,8,1,10,1,8,3,10,24,8,1,18,3,8,1,10,3,8,3,10,36,8,2,10,42,8,15,7,15,14,3,7,6,14,7,7,4,14,5,8,1,10,5,8,2,},
{4,1961,19,5,4,4,10,1,8,18,10,3,8,5,10,5,8,33,10,6,8,20,10,3,4,4,19,7,4,141,19,8,4,44,19,6,4,6,19,6,4,71,18,3,14,5,7,2,14,2,3,2,14,15,7,2,8,4,7,4,8,7,7,5,8,27,10,1,8,5,10,5,8,1,10,10,8,18,10,6,8,1,15,1,14,2,18,1,8,7,10,7,8,2,10,6,8,1,18,1,14,4,3,1,14,2,8,4,10,2,8,1,3,2,14,1,8,1,10,17,8,2,10,4,8,15,10,6,8,20,10,9,8,14,10,7,8,19,7,15,8,8,7,1,14,5,7,5,14,8,7,8,8,21,15,1,7,2,14,6,18,1,8,6,10,72,8,2,10,18,8,1,10,10,8,1,10,14,8,1,18,3,8,1,10,84,8,17,7,2,14,3,7,20,14,5,7,5,14,4,7,1,8,1,10,5,8,2,},
{4,1960,19,6,4,3,10,2,8,26,10,9,8,27,10,1,8,1,10,5,8,24,18,2,4,3,19,7,4,140,19,7,4,46,19,5,4,6,19,6,4,69,18,4,14,1,3,1,14,8,3,3,14,8,7,2,14,4,7,2,8,4,7,3,8,9,7,4,8,23,10,4,8,5,10,16,8,20,10,5,8,1,18,1,14,3,18,1,8,6,10,15,8,1,15,1,14,4,3,1,14,1,15,1,8,1,18,1,8,2,10,2,8,1,3,2,14,1,8,1,10,17,8,2,10,4,8,16,10,4,8,21,10,11,8,13,10,5,8,20,7,14,8,9,7,1,14,5,7,6,14,8,7,7,8,21,15,1,7,2,14,5,15,1,8,2,10,76,8,1,10,31,8,1,10,14,8,1,18,2,8,1,10,83,8,18,7,2,14,4,7,21,14,3,7,6,14,4,7,1,8,1,10,4,8,3,},
{4,1960,19,6,4,2,18,1,8,13,10,1,8,21,10,2,8,3,18,2,8,11,7,3,8,11,10,4,8,24,18,3,4,3,19,6,4,140,19,5,4,7,18,10,4,2,18,4,4,2,10,3,4,21,19,3,4,7,19,6,4,5,19,3,4,60,18,3,3,6,14,6,3,3,14,8,7,3,14,3,7,1,8,41,10,7,8,4,10,17,8,20,10,6,8,1,18,6,8,3,10,16,8,1,18,1,15,1,14,1,15,1,14,3,18,1,8,4,10,3,14,1,3,1,8,1,10,17,8,3,10,5,8,14,10,3,8,24,10,10,8,13,10,4,8,23,7,8,8,6,10,2,8,5,7,1,14,4,7,9,14,5,7,4,8,26,15,1,7,1,14,5,18,1,8,1,10,124,8,1,18,2,8,1,10,17,8,2,10,12,8,1,10,51,8,19,7,2,14,2,7,20,8,1,7,2,14,1,7,7,14,3,7,2,8,2,10,2,8,4,},
{4,1959,19,6,4,3,18,1,8,4,10,3,8,6,10,2,8,5,18,1,8,29,18,2,14,4,7,1,8,10,10,4,8,24,18,4,4,3,19,5,4,140,19,4,4,2,18,22,10,2,8,2,10,6,4,27,19,5,4,4,19,6,4,57,18,1,3,11,14,1,3,1,14,7,7,1,14,4,7,2,8,1,7,6,8,34,10,1,8,5,10,7,8,4,10,19,8,19,10,6,8,4,18,2,8,2,10,14,8,8,15,1,14,2,8,4,10,4,18,2,10,9,8,2,10,6,8,1,10,1,8,1,10,7,8,11,10,7,8,22,10,9,8,25,10,3,8,14,7,5,8,7,10,2,8,5,7,23,8,28,7,2,14,4,8,1,10,70,8,1,10,31,8,3,10,20,8,1,18,1,8,2,10,10,8,2,10,5,8,3,10,63,8,19,7,6,8,1,7,6,14,2,7,6,14,1,7,2,8,2,7,5,8,2,7,6,8,9,},
{4,1959,19,6,4,2,18,1,8,5,10,3,8,7,10,2,8,4,18,1,8,22,10,1,8,6,14,2,3,2,14,2,18,3,8,8,10,5,8,26,18,1,4,5,19,3,4,137,19,6,4,2,18,17,8,1,10,3,8,2,10,11,18,3,4,6,18,6,4,20,19,7,4,55,18,1,3,5,14,1,3,8,14,6,18,3,14,3,7,1,8,3,7,6,8,38,10,9,8,2,10,22,8,16,10,10,8,6,10,12,8,6,10,2,8,1,18,2,8,5,10,4,8,1,10,10,8,3,10,5,8,3,10,7,8,3,10,16,8,19,10,1,8,2,10,9,8,10,10,3,8,10,10,5,8,13,7,4,8,7,10,2,8,6,7,13,14,2,7,5,8,1,7,4,8,27,15,2,14,2,15,1,8,2,10,94,8,3,10,3,8,1,18,2,8,1,10,20,8,4,10,6,8,1,10,3,8,3,10,4,8,3,10,58,8,3,10,5,8,19,7,1,8,4,7,1,14,1,7,2,14,4,7,4,14,3,7,1,8,3,7,4,8,2,7,4,15,1,8,10,},
{4,1958,19,6,4,3,10,1,8,5,10,3,8,27,18,1,8,6,10,3,8,5,18,1,3,1,16,3,3,1,14,1,18,3,14,1,7,1,8,7,10,6,8,4,18,1,8,20,18,2,4,142,19,6,4,2,18,4,10,3,8,6,18,4,8,1,10,11,8,2,10,3,8,1,18,1,8,2,18,1,4,5,10,1,8,2,18,4,4,1,18,7,4,11,19,8,4,53,18,1,3,5,14,3,3,2,17,1,3,5,14,5,18,1,8,1,18,1,7,3,8,4,7,8,8,35,10,16,8,1,10,20,8,14,10,11,8,5,10,10,8,2,18,2,8,3,10,2,8,8,10,14,8,6,10,1,8,11,10,2,8,2,10,17,8,4,10,5,8,7,10,4,8,1,10,9,8,9,10,4,8,10,10,5,8,23,10,1,8,7,7,15,14,1,7,3,8,4,7,3,8,23,15,2,8,3,15,2,8,4,10,94,8,3,10,2,8,1,18,1,14,2,18,1,10,21,8,2,10,6,8,3,10,1,8,1,18,2,8,1,10,4,8,4,10,57,8,3,10,5,8,22,7,3,14,7,7,4,14,4,8,2,7,2,14,1,7,2,8,3,7,2,8,5,15,1,8,5,15,1,},
{4,1958,19,6,4,2,10,5,8,36,10,7,8,2,10,1,8,1,14,1,3,1,16,3,3,1,18,1,8,1,18,1,14,3,8,7,10,6,8,25,18,5,4,136,19,8,4,3,18,3,10,6,8,1,10,2,8,3,18,1,8,2,10,10,8,6,18,3,8,1,18,1,10,8,18,1,8,1,18,19,4,3,19,8,4,52,18,1,3,5,14,2,3,3,17,1,3,4,14,6,18,4,7,2,8,3,7,10,8,5,7,2,8,28,10,12,8,4,10,21,8,13,10,12,8,1,18,2,8,2,10,9,8,2,18,1,8,3,10,3,8,3,10,1,8,4,10,2,8,2,10,2,8,3,10,4,8,20,10,4,8,3,10,14,8,2,10,6,8,7,10,15,8,7,10,5,8,11,10,3,8,32,7,19,8,4,7,3,8,22,7,1,14,2,15,1,8,8,10,95,8,3,10,1,8,1,14,1,3,2,18,1,10,29,8,2,10,2,8,1,18,2,8,1,10,5,8,2,10,58,8,3,10,3,8,21,7,3,14,10,7,4,14,3,7,1,8,2,7,1,14,3,7,1,8,10,15,1,8,6,},
{4,1958,19,5,4,3,10,6,8,6,10,3,8,7,10,1,8,4,18,2,8,11,10,8,8,2,10,1,8,1,14,1,16,4,14,1,8,2,18,1,14,3,8,7,10,5,8,6,18,2,8,11,10,2,8,6,18,1,8,1,18,1,8,1,10,3,4,132,19,9,4,2,18,3,8,1,10,5,8,2,10,4,8,3,10,10,8,6,18,3,8,2,10,11,18,9,8,4,18,6,4,4,19,10,4,48,18,1,3,6,14,3,3,6,14,8,18,2,7,16,8,3,7,4,8,27,10,6,8,2,10,5,8,2,18,1,8,1,10,22,8,12,10,11,8,1,18,4,8,2,10,7,8,7,10,1,8,5,10,1,8,4,10,2,8,2,10,2,8,3,10,1,8,23,10,4,8,4,10,13,8,1,10,7,8,7,10,14,8,9,10,4,8,6,10,1,8,4,10,3,8,26,7,32,8,18,7,2,8,1,15,1,14,3,7,1,8,7,10,35,8,2,10,59,8,3,10,1,8,1,14,1,3,1,14,1,18,1,10,33,8,1,18,1,8,2,10,68,8,12,7,3,8,8,7,2,14,12,7,4,14,4,7,3,14,1,7,3,8,6,10,3,8,8,},
{4,1958,19,4,4,3,18,1,8,1,10,5,8,6,10,2,8,2,18,2,8,3,10,3,8,3,18,2,8,7,18,1,8,3,10,3,8,7,10,1,8,1,14,1,16,4,14,1,8,2,18,1,14,3,8,7,10,4,8,7,18,2,8,11,10,3,8,9,10,3,4,132,19,7,4,3,18,4,10,5,8,3,10,4,8,3,10,10,8,6,18,3,8,1,10,12,8,1,18,2,8,1,10,9,8,3,18,4,4,6,19,9,4,45,18,2,3,6,14,3,3,6,14,13,7,14,8,2,7,4,8,24,10,16,8,1,18,2,8,1,10,4,8,1,10,18,8,10,10,12,8,1,18,4,8,2,10,6,8,7,10,2,8,2,18,1,8,5,10,3,8,2,10,4,8,2,10,1,8,22,10,6,8,5,10,8,8,1,10,1,8,3,10,6,8,7,10,13,8,4,10,1,8,5,10,4,8,5,10,3,8,4,10,1,8,27,7,1,14,1,7,19,8,1,7,7,8,21,7,2,8,1,15,1,14,4,8,6,10,35,8,2,10,52,8,1,10,8,8,2,10,1,8,1,18,1,14,1,18,1,8,1,10,32,8,5,10,68,8,2,7,1,14,1,7,1,8,6,7,3,8,8,7,2,14,24,7,3,8,6,10,4,8,8,},
{4,1959,19,3,4,3,18,1,8,1,10,5,8,9,18,3,8,4,10,1,8,4,18,1,8,8,18,2,8,3,10,2,8,9,18,1,3,4,18,1,8,1,10,1,8,1,18,1,14,1,18,1,8,1,10,1,8,4,10,4,8,2,18,4,14,3,18,2,8,2,10,1,8,6,10,16,4,132,19,6,4,3,18,6,8,1,10,2,8,4,10,3,8,5,10,2,8,2,10,2,8,9,18,1,8,2,10,11,8,3,18,1,8,2,10,11,8,4,18,2,4,7,19,7,4,43,18,5,3,4,14,1,7,2,14,1,3,6,14,15,7,10,8,31,10,18,8,1,18,1,8,1,10,1,8,1,10,2,8,1,10,11,8,4,10,4,8,9,10,12,8,1,18,3,8,6,10,2,8,2,10,4,8,2,10,1,8,2,15,1,18,1,8,5,10,2,8,2,10,7,8,23,10,7,8,18,10,5,8,8,10,9,8,20,10,5,8,3,10,3,8,24,7,23,8,1,7,6,8,22,7,2,8,1,15,1,14,4,8,3,7,1,15,1,8,1,10,35,8,2,10,51,8,3,10,6,8,3,10,2,18,2,8,1,10,32,8,4,10,70,8,2,15,1,7,2,8,6,7,1,14,1,7,1,8,6,7,1,14,15,7,1,14,4,7,2,14,5,7,2,8,4,10,7,8,3,10,1,8,4,},
{4,1964,18,1,8,7,10,2,8,6,18,3,8,20,18,2,8,2,10,4,8,9,18,3,8,1,10,3,8,3,10,2,8,4,10,4,8,2,14,3,3,4,14,1,18,1,8,1,10,4,8,2,10,19,18,1,4,130,19,5,4,3,18,8,8,5,10,4,8,2,18,2,8,2,10,1,8,12,18,1,8,3,10,8,8,6,18,2,8,4,10,14,18,4,4,4,19,6,4,42,18,1,3,3,18,2,3,4,14,2,7,1,14,2,3,5,14,1,18,5,14,1,3,3,14,5,7,1,8,2,7,6,8,20,10,1,8,6,10,2,8,3,10,9,8,1,10,5,8,2,10,1,8,2,10,2,8,1,10,2,18,1,10,11,8,4,10,4,8,9,10,12,8,3,10,2,8,2,18,1,3,2,18,1,10,7,8,5,18,2,8,3,18,1,8,1,10,2,8,2,10,7,8,14,10,1,8,8,10,14,8,2,10,1,8,10,10,3,8,8,10,8,8,21,10,5,8,2,10,5,8,15,7,18,8,4,7,4,8,3,7,6,8,25,7,1,8,3,14,3,15,1,8,1,10,1,8,1,15,1,7,1,8,1,10,12,8,1,10,22,8,2,10,26,8,3,10,23,8,2,10,6,8,1,18,1,8,1,10,2,8,1,18,1,8,1,10,4,8,1,10,26,8,4,10,72,8,10,7,1,14,1,7,1,8,5,7,1,14,7,7,2,14,6,15,2,7,1,14,2,7,1,15,3,7,1,14,3,7,1,8,4,10,8,8,3,10,2,8,3,},
{4,1964,18,1,8,7,10,2,8,7,18,2,8,15,18,1,8,8,10,6,8,5,10,2,8,2,10,11,8,2,10,5,8,1,14,2,3,2,16,2,3,1,14,1,18,1,8,1,10,6,8,1,10,20,4,130,19,2,4,5,18,9,8,4,10,3,8,3,18,2,8,9,18,4,8,6,10,8,8,3,10,3,8,1,18,5,8,3,10,3,8,5,10,4,8,1,18,5,4,4,19,3,4,42,18,1,3,3,18,4,3,2,14,5,3,3,14,3,18,3,8,2,18,1,14,2,3,1,14,5,7,2,8,2,7,5,8,33,10,9,8,2,10,8,8,1,10,5,8,1,10,14,8,1,10,4,8,9,10,4,8,2,10,11,8,2,14,1,3,2,8,1,10,6,8,3,10,2,8,1,15,1,18,4,14,1,8,1,10,2,8,1,18,1,10,8,8,5,10,1,8,15,10,19,8,21,10,6,8,20,10,14,8,15,7,2,14,5,7,1,14,1,7,1,8,2,7,5,8,6,7,3,8,4,7,4,8,22,7,2,8,2,7,1,8,3,7,1,14,2,8,5,15,1,8,1,10,47,8,3,10,13,8,4,10,30,8,3,10,2,8,3,10,3,8,2,10,27,8,2,10,74,8,10,18,1,8,6,7,2,14,4,7,2,8,2,7,1,14,4,7,1,15,2,7,2,14,1,7,2,8,2,7,1,14,2,15,1,8,5,10,8,8,3,10,1,8,4,},
{4,1964,18,1,8,1,10,2,8,2,10,3,8,4,10,4,8,1,18,2,8,2,10,9,8,2,18,3,8,5,10,2,8,3,10,8,8,3,10,18,8,1,18,1,14,1,3,1,16,4,14,1,18,1,10,7,8,3,10,19,18,1,4,8,19,5,4,122,18,7,8,5,10,4,8,1,7,1,14,1,7,1,8,3,10,1,8,8,18,1,7,1,18,1,8,6,10,14,8,1,18,2,14,2,18,1,8,7,18,3,8,2,10,3,8,3,10,2,18,1,4,34,19,5,4,9,18,6,8,2,18,1,3,1,14,1,18,2,14,2,3,5,14,1,18,3,7,2,8,2,7,3,14,1,7,1,14,2,7,2,8,3,18,1,7,4,8,34,10,9,8,1,10,34,8,8,10,18,8,1,18,1,15,1,18,1,8,1,10,6,8,3,10,3,18,1,14,1,18,2,14,3,18,1,8,2,18,2,8,1,10,9,8,3,10,3,8,15,10,18,8,20,10,5,8,2,10,1,8,18,10,10,8,16,15,1,8,3,15,1,14,5,7,1,8,3,18,2,8,10,7,1,14,1,7,1,8,30,7,1,8,3,15,3,8,1,15,3,8,6,10,63,8,2,10,2,8,5,10,30,8,8,10,62,8,3,10,44,8,15,7,3,8,4,7,1,14,6,7,3,14,2,7,1,8,2,7,1,18,1,8,3,10,2,8,3,10,6,8,9,},
{4,1964,10,7,8,5,10,6,8,3,10,11,8,1,18,3,8,4,10,3,8,3,10,3,8,1,10,4,8,3,10,18,8,1,14,2,3,3,14,2,15,1,10,8,8,3,10,9,8,3,10,10,4,5,19,6,4,121,18,7,8,6,10,3,8,2,7,2,8,2,10,3,8,8,18,1,7,3,8,5,10,2,8,1,10,4,8,3,10,5,8,1,18,1,14,2,18,2,8,4,18,6,8,4,10,6,18,1,4,1,18,2,4,1,18,1,4,28,19,6,4,1,10,3,4,1,18,6,8,3,10,1,8,1,18,1,14,1,18,4,14,1,3,4,14,2,18,3,7,2,8,3,7,6,8,5,18,1,7,4,8,34,10,44,8,7,10,4,8,1,10,13,8,2,18,1,8,2,10,6,8,4,10,3,18,1,14,1,18,2,14,4,18,5,8,4,10,6,8,3,10,1,8,16,10,18,8,20,10,5,8,17,10,13,8,17,15,2,8,2,15,1,14,4,15,1,8,16,15,4,8,33,15,1,7,1,15,2,8,4,18,1,15,1,8,2,10,51,8,4,10,13,8,5,10,13,8,2,10,14,8,9,10,25,8,2,10,34,8,4,10,45,8,21,7,2,14,6,7,2,14,2,7,1,8,5,10,5,8,2,10,6,8,9,},
{4,1958,19,4,4,2,10,5,8,6,10,22,8,8,10,2,8,3,10,7,8,4,10,5,8,2,10,3,8,9,15,1,14,4,8,2,10,7,8,3,10,4,8,4,10,4,8,5,10,11,4,2,19,5,4,120,18,5,3,1,18,2,8,13,10,4,8,18,10,1,8,2,10,2,8,2,18,2,8,2,10,4,8,7,18,2,8,1,18,5,8,5,10,5,8,1,18,4,10,2,18,1,4,27,19,5,4,2,10,3,18,7,8,5,18,1,14,1,18,4,14,1,3,4,14,2,18,3,8,4,7,5,8,6,18,1,7,3,18,1,7,1,8,34,10,44,8,5,10,6,8,1,10,11,8,5,10,9,8,2,10,4,8,1,18,1,10,1,8,1,18,1,3,3,14,4,18,1,8,4,10,6,8,20,10,18,8,1,10,1,8,13,10,9,8,17,10,11,8,25,15,1,14,1,15,1,8,10,10,3,8,5,15,4,18,2,8,9,15,3,7,1,8,19,15,1,14,1,15,1,8,4,15,1,14,1,18,1,8,1,10,51,8,4,10,13,8,6,10,11,8,3,10,14,8,9,10,3,8,2,10,57,8,2,10,48,8,16,7,6,14,4,7,3,14,2,7,1,8,4,10,14,8,9,},
{4,1958,19,5,4,1,10,6,8,4,10,18,8,3,10,5,8,10,10,6,8,5,10,4,8,8,18,1,14,5,15,4,8,2,10,8,8,4,10,4,8,4,10,4,8,6,10,10,4,2,19,5,4,120,10,3,18,2,3,1,18,2,8,4,10,1,8,6,10,6,8,5,18,2,8,11,10,4,8,1,18,6,8,3,10,3,8,4,18,9,8,5,10,4,8,1,18,5,8,1,10,2,4,27,19,4,4,2,18,2,8,2,18,6,8,1,10,2,8,2,18,2,3,1,18,4,14,1,3,6,14,1,3,1,18,1,8,4,7,4,8,6,18,2,7,2,18,2,8,35,10,43,8,6,10,5,8,2,10,3,8,2,10,5,8,2,18,1,8,2,10,4,8,3,10,3,8,2,10,4,8,2,10,2,18,1,14,1,3,2,14,4,18,2,8,2,10,7,8,20,10,11,8,12,10,4,8,2,10,13,8,1,10,4,8,12,10,9,8,9,10,4,8,25,10,5,8,5,15,18,7,1,8,16,10,1,8,2,15,3,8,4,15,1,14,1,18,1,8,1,10,20,8,4,10,27,8,1,10,15,8,7,10,12,8,2,10,14,8,8,10,49,8,3,10,61,8,15,7,3,14,3,7,1,14,3,7,2,14,3,7,2,8,3,10,10,8,14,},
{4,1958,19,5,4,2,10,5,8,3,10,18,8,6,10,1,8,1,10,2,8,10,10,4,8,4,10,5,8,7,15,1,18,1,14,2,3,2,14,3,15,1,18,1,8,3,10,8,8,5,10,3,8,4,10,5,8,4,10,12,4,3,19,3,4,118,18,1,10,4,18,2,14,1,18,2,8,11,10,5,8,1,18,3,8,2,18,3,8,5,18,3,8,3,10,2,8,1,18,8,8,2,10,3,8,3,18,10,8,4,10,5,8,1,18,6,10,1,4,28,19,3,4,3,18,6,3,1,18,2,8,1,10,5,8,1,18,1,14,1,18,4,14,1,3,8,14,1,8,3,7,5,8,6,18,1,14,1,7,1,18,3,8,33,10,44,8,8,10,3,8,4,10,9,8,2,18,1,8,1,10,4,8,4,10,9,8,2,10,2,8,1,18,2,14,1,18,3,14,2,18,1,8,1,10,8,8,21,10,6,8,16,10,27,8,9,10,9,8,8,10,6,8,11,15,1,8,14,10,1,8,7,15,9,7,2,15,3,7,1,15,1,14,2,7,1,8,26,18,1,8,2,10,20,8,4,10,45,8,5,10,30,8,5,10,36,8,1,10,13,8,4,10,60,8,4,7,2,8,6,7,6,14,4,7,1,14,3,7,2,14,3,7,2,8,2,10,5,8,20,},
{4,1958,19,5,4,2,10,19,8,2,10,5,8,9,10,3,8,9,10,1,8,5,10,6,8,6,18,1,14,3,3,4,14,2,18,1,8,3,10,10,8,5,10,3,8,2,10,6,8,3,10,9,8,3,10,1,4,5,19,1,4,115,18,1,4,2,10,2,18,1,10,2,18,5,8,16,18,5,8,1,18,1,8,6,18,4,8,5,18,3,3,1,14,1,18,5,8,2,10,2,8,4,18,3,14,5,18,2,8,2,10,5,8,1,18,6,8,1,18,4,4,26,19,1,4,5,18,5,3,1,18,2,10,6,8,1,18,1,14,1,18,5,14,1,3,7,14,1,8,3,7,5,8,6,18,1,14,1,7,1,18,2,8,34,10,34,8,2,10,7,8,16,10,9,8,4,10,4,8,1,18,1,8,1,10,9,8,1,18,1,8,1,10,2,8,3,18,5,14,1,18,1,8,1,10,8,8,22,10,5,8,16,10,28,8,11,10,5,8,8,10,6,8,4,15,3,8,4,15,3,8,25,15,13,14,1,7,1,8,23,15,2,8,3,10,101,8,1,10,4,8,3,10,52,8,3,10,59,8,12,7,1,14,4,7,4,14,2,7,1,14,3,7,2,14,3,7,1,8,3,10,3,8,22,},
{4,1958,19,6,4,3,10,16,8,3,10,6,8,9,10,6,8,11,10,5,8,7,18,3,14,2,3,2,14,2,15,1,8,6,10,2,8,2,10,4,8,1,18,3,8,1,10,10,8,2,10,10,8,5,10,3,4,116,18,4,10,3,18,2,10,1,8,1,18,4,8,9,18,12,10,5,8,2,18,3,8,5,18,9,8,1,18,3,8,8,18,3,14,4,18,2,8,1,10,5,8,1,18,5,8,3,18,5,4,31,18,8,8,1,10,6,18,7,14,2,3,6,14,1,7,1,8,1,7,7,8,5,18,4,8,35,10,34,8,3,10,6,8,17,10,15,8,1,18,2,8,1,10,8,8,2,14,1,18,1,8,1,10,1,8,5,18,3,14,2,18,1,8,2,10,1,8,1,10,5,8,23,10,3,8,15,10,29,8,24,10,5,8,4,15,5,8,3,15,1,14,1,15,1,8,6,15,1,8,24,15,8,8,16,7,3,8,5,15,2,8,2,10,62,8,3,10,37,8,1,10,4,8,3,10,53,8,3,10,57,8,12,7,2,14,3,7,5,14,2,7,2,14,2,7,2,14,3,7,1,8,3,10,1,8,10,15,2,8,12,},
{4,1959,19,6,4,3,10,8,8,2,10,4,8,4,10,7,8,2,10,2,8,7,10,5,8,9,10,5,8,11,18,1,14,3,18,1,8,11,10,4,8,1,18,3,8,1,10,9,8,1,10,13,8,3,10,5,4,114,18,2,3,1,18,2,10,3,18,1,10,2,8,1,18,4,8,6,18,1,14,4,18,9,4,5,10,1,8,1,18,4,8,4,18,9,8,3,18,2,8,10,18,2,14,3,18,2,8,1,10,4,8,1,18,5,8,1,10,3,8,1,18,5,4,12,19,4,4,15,10,1,18,7,8,3,10,2,8,2,18,6,14,2,3,6,14,1,7,14,18,4,8,35,10,34,8,3,10,6,8,18,10,13,8,4,10,6,8,4,18,1,3,1,14,1,8,1,10,4,8,1,18,2,8,1,18,3,8,5,10,5,8,23,10,36,8,1,10,10,8,23,10,5,8,5,15,5,8,2,15,1,14,2,15,1,8,4,15,3,8,18,15,1,8,5,15,4,7,1,15,1,8,18,7,1,14,2,15,1,8,7,10,103,8,1,10,5,8,1,10,56,8,2,10,57,8,5,10,2,8,3,7,12,14,1,7,2,14,2,7,2,14,3,7,1,8,2,10,2,8,8,18,1,15,3,7,1,8,11,},
{4,1960,19,6,4,2,18,1,10,7,8,1,10,22,8,8,10,3,8,1,18,2,8,19,10,1,8,8,10,2,8,3,18,1,8,1,10,5,8,2,18,2,8,2,10,8,8,2,10,21,4,16,19,7,4,71,19,7,4,11,18,6,10,7,8,2,18,1,8,2,18,1,8,4,18,1,3,5,18,7,4,8,10,1,18,4,8,4,18,3,8,4,18,1,8,18,18,2,14,1,18,2,8,1,10,4,18,5,8,1,10,4,8,1,18,6,4,11,19,6,4,13,10,2,18,10,8,3,18,6,14,3,3,3,14,3,7,2,8,2,7,3,14,5,7,4,18,1,8,36,10,34,8,3,10,7,8,17,10,12,8,4,10,6,8,1,18,3,8,1,18,1,3,1,14,1,8,1,10,4,8,1,18,2,8,6,18,2,8,1,10,6,8,23,10,35,8,1,10,9,8,8,10,8,8,7,10,5,8,4,15,7,8,2,15,1,14,2,15,1,8,3,15,1,14,2,15,1,8,5,15,6,8,6,15,3,8,4,15,3,14,1,15,2,8,10,7,2,8,3,7,2,15,1,14,4,15,2,8,4,10,56,8,1,10,46,8,1,10,6,8,1,10,56,8,2,10,6,8,2,10,56,8,2,7,4,8,2,7,3,14,4,7,9,14,1,7,1,8,1,10,3,8,7,18,2,14,1,15,2,8,12,},
{4,1960,19,7,4,2,10,31,8,1,9,4,10,2,9,1,8,1,10,2,18,3,8,15,10,9,8,3,10,3,8,2,18,1,8,1,10,4,8,2,18,2,8,2,10,9,8,2,10,3,8,1,10,21,4,12,19,8,4,70,19,8,4,8,18,7,10,7,8,5,18,3,8,2,18,2,3,4,18,2,4,4,18,1,4,11,10,2,18,3,8,3,18,2,10,4,8,10,10,2,8,9,18,3,8,2,10,2,8,1,18,5,8,1,10,3,8,4,18,7,4,1,18,1,4,6,19,7,4,11,18,1,9,1,10,2,18,5,3,4,18,5,14,6,3,3,14,2,18,1,8,5,7,2,14,7,7,3,18,1,8,29,10,2,8,5,10,34,8,2,10,8,8,18,10,11,8,3,10,7,8,1,18,1,14,1,18,1,8,1,18,1,14,2,8,1,10,4,8,1,18,2,10,6,18,2,10,7,8,23,10,35,8,1,10,13,8,3,10,9,8,5,10,6,8,4,15,5,8,1,15,4,14,2,15,2,8,2,15,1,14,3,8,5,15,1,14,4,15,2,8,6,15,3,8,4,15,2,14,2,15,2,8,10,7,7,14,6,15,1,8,2,10,57,8,3,10,109,8,1,10,5,8,4,10,53,8,1,10,1,8,2,7,5,8,2,7,2,14,5,7,5,14,2,7,2,14,2,8,1,10,2,8,9,18,1,15,2,8,13,},
{4,1960,19,7,4,4,10,8,8,2,10,15,8,1,10,4,18,2,4,5,18,1,4,2,18,3,8,15,10,9,8,4,10,3,8,3,10,3,8,1,18,3,8,2,10,8,8,2,10,4,8,2,10,17,8,3,10,4,18,2,10,1,4,6,19,8,4,70,19,8,4,5,18,9,10,5,8,4,18,1,8,2,18,4,8,2,18,1,3,4,18,2,4,19,18,4,8,4,10,4,8,10,10,2,8,6,10,1,8,4,18,2,8,3,18,5,8,6,10,3,8,4,18,8,4,4,19,11,4,6,18,1,8,1,10,2,8,1,18,3,3,6,18,3,14,1,3,8,14,2,18,1,8,6,7,2,14,9,7,1,18,1,8,29,10,2,8,5,10,8,8,2,10,35,8,12,10,1,8,4,10,8,8,3,10,6,8,2,10,2,8,1,18,1,14,2,8,2,18,2,8,1,10,4,8,3,10,6,8,2,10,7,8,8,10,1,8,13,10,63,8,4,10,6,8,4,15,3,8,5,15,5,8,3,15,1,14,2,15,1,8,4,15,1,14,5,15,1,8,7,15,3,8,4,15,2,14,2,15,2,8,12,7,6,14,4,15,1,8,4,10,229,8,5,7,8,14,4,17,1,14,2,7,1,14,1,7,3,14,2,7,2,14,2,8,7,10,2,8,4,18,1,8,14,},
{4,1961,19,7,4,6,10,5,8,3,10,8,8,2,10,4,8,1,10,3,4,12,18,1,8,5,10,1,8,5,10,3,8,3,10,8,8,5,10,3,8,1,10,3,8,1,18,3,8,2,10,9,8,1,10,4,8,3,10,17,8,3,10,4,8,2,10,3,4,4,19,8,4,70,19,8,4,2,18,11,10,5,8,3,18,7,3,2,18,2,3,2,18,2,4,4,19,4,4,10,19,2,4,5,18,2,8,2,10,5,8,5,10,7,8,2,18,2,8,2,10,3,8,2,18,3,8,2,18,3,8,6,18,1,8,1,10,4,8,6,18,3,8,1,18,1,4,6,19,10,4,5,18,1,8,2,10,2,18,3,3,6,14,2,3,10,14,2,18,1,8,6,7,2,14,4,7,4,14,1,7,1,18,1,8,29,10,2,8,5,10,8,8,3,10,2,8,3,10,28,8,14,10,12,8,2,10,6,8,1,18,2,8,3,18,1,14,1,18,1,10,2,8,2,18,1,8,1,10,2,8,3,10,16,8,7,10,2,8,11,10,1,8,1,10,10,8,8,10,44,8,4,10,6,8,14,15,3,8,4,15,3,8,4,15,3,14,2,15,1,8,10,15,1,8,5,15,6,8,12,7,1,8,2,7,1,15,1,7,1,14,3,15,1,8,5,10,3,8,3,10,48,8,1,10,94,8,3,10,19,8,1,10,55,8,5,7,9,14,15,7,2,14,2,8,6,10,4,8,18,},
{4,1962,19,8,4,4,10,5,8,3,10,8,8,2,10,8,4,12,10,1,18,1,8,2,10,5,8,2,10,4,8,4,10,6,8,7,10,5,8,2,18,3,8,1,10,10,8,1,10,3,8,3,10,30,4,5,19,1,4,1,19,5,4,66,19,8,4,5,18,1,8,3,18,6,8,1,10,6,8,3,18,6,3,3,18,2,3,1,18,1,4,2,19,8,4,9,19,5,4,3,18,4,10,4,8,1,18,2,8,3,10,7,8,1,18,3,8,2,10,3,8,2,18,4,8,9,18,1,8,2,10,8,8,6,10,2,18,2,4,4,19,9,4,5,18,1,9,1,8,1,10,2,18,3,3,5,18,2,3,8,14,4,7,1,18,1,8,6,7,2,14,3,7,7,8,31,10,14,8,4,10,1,8,3,10,4,8,1,10,22,8,15,10,12,8,2,10,5,8,2,15,1,18,1,8,4,18,1,8,1,10,3,18,1,14,2,8,2,18,2,8,2,10,2,8,1,10,11,8,9,10,1,8,12,10,3,8,1,10,2,8,13,10,40,8,5,10,9,8,36,10,5,8,8,15,6,8,16,7,1,15,1,7,1,14,2,15,1,8,7,10,1,8,4,10,31,8,2,10,14,8,3,10,93,8,3,10,18,8,2,10,55,8,4,18,1,7,2,8,5,7,1,14,5,7,3,14,9,7,1,14,1,7,1,8,5,10,6,8,9,7,3,8,5,},
{4,1965,19,8,4,2,10,9,18,2,4,1,10,3,8,3,10,6,4,14,10,8,8,2,10,5,8,5,10,5,8,8,10,2,8,7,10,13,8,2,10,33,4,8,19,2,4,67,19,6,4,4,18,4,8,4,18,3,8,3,10,3,8,5,18,1,14,4,18,2,3,3,18,3,4,2,19,9,4,8,19,7,4,3,18,9,10,2,8,2,10,7,8,1,18,1,14,1,18,1,8,2,10,2,8,3,18,4,8,9,18,1,8,2,10,8,8,6,10,2,8,1,18,3,4,4,19,7,4,5,18,1,9,1,8,2,10,1,18,10,3,3,16,2,3,2,14,2,7,1,14,2,18,1,8,7,7,6,8,38,10,14,8,3,10,1,8,2,10,23,8,3,10,2,8,16,10,17,8,10,10,3,8,1,18,1,14,2,8,2,14,2,18,1,8,3,18,1,8,2,10,7,8,24,10,1,8,3,10,3,8,10,10,40,8,7,10,7,8,37,10,5,8,8,15,6,8,6,7,1,8,6,7,2,8,1,7,1,15,1,7,1,14,4,15,1,8,5,10,2,8,4,10,26,8,3,10,2,8,3,10,14,8,1,10,15,8,1,10,79,8,2,10,17,8,3,10,54,8,5,18,1,7,1,8,5,7,2,14,2,7,5,14,8,7,3,15,1,8,4,10,10,8,7,7,3,8,5,},
{4,1966,19,7,4,6,10,4,18,1,4,4,10,2,8,3,10,5,18,1,4,14,10,3,8,2,10,4,8,2,10,4,8,8,10,5,8,5,10,1,8,2,18,1,8,1,10,2,8,4,10,5,8,2,10,3,8,3,10,28,8,4,10,5,4,1,10,1,18,1,4,70,19,6,4,3,18,5,8,3,18,4,8,4,18,4,8,2,18,2,14,6,3,3,18,2,4,2,19,10,4,8,19,8,4,11,10,4,8,5,10,1,8,2,18,3,8,2,10,1,8,3,18,4,8,7,18,2,8,3,10,1,8,4,10,4,8,1,18,3,8,2,10,2,8,1,18,5,4,3,19,6,4,5,18,1,8,3,10,1,18,2,3,2,18,3,8,2,18,1,3,2,16,2,3,2,14,1,18,1,8,3,18,1,8,9,7,4,8,39,10,5,8,2,10,7,8,5,10,24,8,3,10,1,8,17,10,15,8,11,10,3,8,1,14,1,3,1,18,1,8,1,10,1,8,1,14,1,3,1,14,1,18,5,8,1,10,6,8,2,18,2,8,4,18,2,8,19,10,3,8,9,10,19,8,4,10,16,8,6,10,4,8,34,15,3,8,6,10,2,8,10,15,7,8,4,15,1,7,3,8,3,7,7,14,7,15,1,8,2,10,32,8,3,10,4,8,1,10,31,8,1,10,79,8,2,10,14,8,5,10,54,8,12,7,2,14,2,7,1,8,3,7,1,14,4,7,2,14,2,7,1,8,1,7,1,8,4,10,13,8,6,7,2,8,6,},
{4,1966,19,8,4,14,10,2,8,4,10,4,4,16,10,2,8,2,10,3,8,3,10,3,8,3,18,1,8,5,10,6,8,7,18,1,8,1,10,11,8,1,10,2,8,3,10,31,8,6,10,4,8,1,18,1,4,69,19,5,4,3,18,4,8,12,18,3,14,2,7,3,14,3,3,2,14,1,3,3,18,1,4,4,19,10,4,8,19,8,4,12,10,2,8,9,18,3,8,6,18,4,8,6,18,2,8,5,18,3,8,6,18,2,8,4,10,1,8,2,18,3,8,1,10,1,4,3,19,5,4,5,18,1,10,1,8,2,10,1,18,1,3,3,18,4,8,1,18,1,3,5,14,1,18,1,8,9,7,4,8,1,7,3,8,40,10,5,8,2,10,8,8,2,10,26,8,3,10,2,8,12,10,19,8,11,10,2,8,1,14,1,3,1,14,1,8,1,10,2,18,1,3,2,14,1,18,4,8,1,10,5,8,4,18,2,8,4,18,4,8,17,10,3,8,8,10,9,8,8,10,3,8,3,10,17,8,4,10,5,8,28,15,1,8,6,15,2,8,13,15,2,8,3,15,6,8,4,15,3,7,3,8,5,7,5,14,3,7,1,14,4,18,1,8,1,10,32,8,4,10,131,8,3,10,56,8,12,7,1,14,3,7,1,8,3,7,1,17,2,14,2,7,2,14,1,7,1,8,5,10,9,8,1,10,5,8,14,},
{4,1970,19,4,4,6,19,5,4,3,10,2,8,5,10,3,4,17,18,1,8,19,10,7,8,9,10,13,8,4,10,2,8,1,10,2,8,1,10,12,8,2,10,12,8,6,10,3,8,1,18,2,4,63,19,8,4,4,18,2,8,14,18,2,14,4,7,3,14,3,3,4,18,2,4,25,19,4,4,16,18,2,8,1,10,4,8,2,18,4,8,12,18,3,8,3,10,2,8,2,18,3,8,4,18,1,8,9,10,2,8,3,10,1,4,5,19,3,4,6,9,1,8,2,10,1,18,1,3,3,18,6,3,4,14,1,18,1,8,3,18,3,8,3,18,1,14,3,7,1,14,1,18,2,8,11,7,2,8,28,10,6,8,2,10,14,8,3,10,19,8,1,10,3,8,3,10,3,8,5,10,10,8,2,10,9,8,5,15,3,8,4,14,3,18,1,10,2,8,1,14,1,3,1,14,1,18,1,8,2,10,7,8,12,18,4,8,15,10,3,8,8,10,10,8,7,10,5,8,1,10,9,8,3,10,14,8,23,10,3,8,2,15,1,8,22,15,8,8,7,15,3,7,1,8,8,7,3,15,4,8,2,18,3,8,2,10,35,8,3,10,3,8,2,10,33,8,2,10,89,8,1,10,60,8,10,7,8,14,2,17,1,14,3,7,2,8,7,10,7,8,4,10,4,8,13,},
{4,1980,19,6,4,3,10,1,18,3,8,2,10,2,4,18,18,1,8,19,10,6,8,4,10,3,8,3,10,5,8,1,10,2,8,2,10,2,8,4,10,2,8,2,10,2,8,1,10,2,8,2,10,1,8,1,10,6,8,1,10,14,8,5,10,3,8,1,18,2,4,62,19,8,4,3,18,4,8,14,18,1,14,5,7,3,14,3,3,3,18,2,4,47,18,2,10,4,8,2,18,5,8,10,18,4,8,3,10,1,8,3,18,3,8,2,18,3,8,2,10,3,8,4,10,2,8,3,18,3,4,12,10,1,8,1,10,2,18,1,3,3,18,7,14,3,18,1,8,4,18,3,8,2,18,1,14,5,18,1,8,13,7,2,18,1,8,28,10,5,8,3,10,12,8,4,10,23,8,2,10,4,8,4,10,10,8,2,10,10,8,2,15,2,14,4,18,1,8,1,18,1,14,1,3,1,14,2,8,1,10,2,18,1,14,2,18,1,10,9,8,12,18,5,8,15,10,3,8,7,10,11,8,9,10,12,8,7,10,11,8,23,10,2,8,2,15,2,8,22,15,7,8,8,15,3,7,1,8,9,7,1,15,1,8,10,10,30,8,1,10,6,8,2,10,3,8,3,10,31,8,3,10,150,8,10,7,3,14,11,7,1,8,3,10,4,8,1,10,7,8,5,10,3,8,7,10,3,8,3,},
{4,1980,19,6,4,5,18,3,10,3,4,2,19,1,4,16,10,1,8,16,10,6,8,5,10,14,8,2,10,2,8,3,10,3,8,2,10,5,8,2,10,2,8,1,10,4,8,2,10,16,8,4,10,3,8,1,9,1,18,1,9,1,10,1,4,9,19,7,4,44,19,6,4,4,18,2,8,12,10,2,8,3,18,1,14,4,7,1,8,1,7,2,14,3,3,2,18,2,4,2,19,3,4,47,10,2,8,2,18,4,8,10,18,5,8,9,10,4,8,11,10,1,8,5,18,3,10,4,9,1,4,2,18,4,10,1,8,1,10,2,18,1,3,3,18,10,8,5,18,4,7,1,14,1,3,3,14,1,18,1,8,14,7,2,8,28,10,5,8,4,10,8,8,1,10,2,8,5,10,18,8,2,10,3,8,2,10,4,8,5,10,20,8,3,15,1,14,4,15,1,18,2,15,1,14,1,3,1,14,2,8,1,10,1,8,1,18,1,14,1,18,1,8,1,10,3,8,1,18,6,8,3,10,5,8,2,18,1,14,2,18,1,8,18,10,2,8,7,10,11,8,11,10,9,8,8,10,10,8,28,15,3,8,23,15,7,8,4,15,5,7,3,8,4,15,2,8,13,10,7,8,3,10,32,8,3,10,185,8,8,7,2,14,12,7,2,8,5,10,10,8,6,10,3,8,5,10,4,8,3,},
{4,1980,19,6,4,12,19,2,4,17,10,1,8,12,18,1,8,1,10,5,8,6,10,14,8,3,10,2,8,3,10,2,8,2,10,5,8,3,10,4,8,4,10,7,8,2,10,3,8,1,10,11,8,5,4,8,19,8,4,37,19,12,4,5,10,4,8,4,7,2,8,5,10,1,8,4,18,1,14,2,18,1,8,3,7,1,14,3,3,1,18,2,4,2,19,4,4,48,8,3,18,5,8,9,18,7,8,6,10,6,8,7,10,1,8,3,18,4,8,5,10,5,18,5,10,1,8,2,10,1,18,1,3,2,18,11,8,6,18,3,14,2,3,3,14,1,8,2,10,4,8,9,7,2,8,29,10,3,8,4,10,9,8,8,10,16,8,3,10,5,8,1,10,4,8,4,10,6,8,2,10,12,8,3,18,1,14,5,15,1,18,2,14,2,3,1,14,1,18,1,8,1,10,1,8,1,18,1,14,1,18,1,8,1,10,3,18,1,14,1,3,4,14,1,8,1,10,8,8,2,18,3,8,3,18,2,8,21,10,12,8,12,10,5,8,12,10,8,8,28,15,3,8,12,10,2,8,6,15,1,8,4,15,15,7,3,8,2,7,3,15,1,8,3,10,1,8,8,10,8,8,2,10,4,8,2,10,28,8,2,10,40,8,3,10,143,8,3,10,1,8,4,7,1,14,5,7,5,14,2,7,1,8,7,10,9,8,8,10,1,8,3,10,6,8,3,},
{4,1984,19,6,4,5,19,5,4,18,18,1,8,1,18,4,8,2,18,6,10,5,8,5,10,13,8,2,18,2,8,2,10,1,8,3,10,2,8,1,10,5,8,3,10,4,8,5,10,7,8,2,10,2,8,3,10,11,8,4,4,8,19,8,4,4,19,6,4,26,19,11,4,5,10,7,8,22,7,1,14,2,3,1,18,3,4,1,19,5,4,48,18,8,8,9,18,9,8,3,10,8,8,5,10,2,8,2,18,1,14,2,18,2,8,1,10,4,8,2,10,4,8,1,18,3,10,1,8,2,10,1,18,14,8,5,18,1,8,1,18,2,14,1,3,4,14,1,8,2,10,4,8,9,7,2,8,28,10,3,8,5,10,10,8,7,10,16,8,3,10,11,8,1,10,8,8,2,10,2,8,2,10,4,8,2,10,1,8,5,15,1,14,3,15,1,18,3,14,4,18,1,8,1,10,1,8,1,15,1,14,2,18,1,8,4,14,1,3,3,16,1,3,1,8,1,10,2,8,5,10,3,8,2,18,1,14,3,18,2,8,19,10,14,8,12,10,3,8,16,10,5,8,27,15,4,8,19,15,4,8,3,15,15,7,3,8,2,7,3,8,3,10,3,8,7,10,14,8,2,10,28,8,2,10,39,8,2,18,1,8,1,10,148,8,5,7,2,8,6,7,1,14,1,7,2,8,7,10,9,8,6,10,11,8,4,},
{4,1985,19,7,4,1,19,7,4,19,10,1,18,1,10,1,18,1,10,4,18,5,10,5,8,3,10,15,8,1,18,3,8,1,10,4,8,1,10,2,8,1,10,2,8,1,10,2,8,2,10,4,8,1,18,1,8,1,10,10,8,2,10,2,8,3,10,13,8,2,10,1,4,7,19,7,4,5,19,6,4,26,19,10,4,5,10,7,8,23,18,6,4,2,19,5,4,48,18,8,8,9,18,3,14,3,18,3,8,3,10,2,8,4,10,2,8,4,10,3,8,1,18,1,14,1,3,2,14,1,18,1,10,5,8,5,10,3,18,1,8,1,10,1,8,3,10,1,18,6,3,2,18,5,8,9,18,1,14,1,3,3,18,1,8,2,10,4,8,9,7,1,8,26,10,5,8,6,10,10,8,7,10,15,8,3,10,24,8,16,15,1,18,6,15,1,14,3,8,2,10,1,8,1,15,1,14,2,15,2,18,1,8,2,14,1,3,5,8,1,10,2,8,1,15,1,14,2,15,1,8,1,10,3,8,1,18,1,14,3,18,2,8,15,10,18,8,12,10,2,8,11,10,2,8,5,10,4,8,26,15,1,14,2,15,1,8,21,15,5,8,3,15,7,8,5,15,2,7,1,8,8,10,4,8,6,10,44,8,4,10,17,8,3,10,12,8,1,10,5,8,2,18,1,8,1,10,146,8,16,7,2,8,3,10,2,8,4,10,8,8,4,10,13,8,4,},
{4,1986,19,14,4,32,18,4,10,8,8,4,10,7,8,1,18,3,8,1,10,10,8,1,10,2,8,1,10,4,8,1,18,2,10,12,8,1,10,1,8,4,10,14,8,2,10,1,4,6,19,7,4,5,19,6,4,26,19,9,4,3,10,9,8,19,10,1,8,6,18,4,4,2,19,5,4,49,18,6,8,11,18,1,14,2,3,1,14,1,18,2,8,4,10,1,8,2,18,2,8,7,10,2,8,2,18,1,14,1,3,1,14,1,18,1,8,1,10,5,8,5,10,3,18,1,10,2,8,3,10,1,8,2,18,3,3,3,14,1,18,3,8,6,10,4,8,1,18,1,14,3,18,1,8,3,10,1,8,32,10,3,8,3,10,4,8,6,10,12,8,4,10,1,8,4,10,1,8,1,10,10,8,3,10,25,8,9,10,3,8,7,18,5,15,1,18,1,8,4,18,1,15,1,18,6,14,6,8,3,15,1,14,1,3,1,16,1,3,1,14,1,18,1,8,3,18,2,14,1,18,3,8,15,10,11,8,3,10,4,8,12,10,1,8,12,10,2,8,6,10,4,8,25,15,1,14,1,15,1,8,23,15,2,14,1,15,1,8,6,15,2,8,18,10,3,8,7,10,44,8,4,10,16,8,4,10,11,8,2,10,6,8,2,10,4,8,1,10,142,8,6,10,5,8,5,7,2,8,3,10,1,8,5,10,18,8,3,10,3,8,5,},
{4,1986,19,13,4,39,10,5,8,3,18,1,8,5,10,3,8,4,10,19,8,1,18,1,8,1,10,3,8,1,10,3,8,2,10,5,8,3,10,15,8,3,18,1,4,5,19,7,4,2,10,3,4,1,19,5,4,26,19,8,4,4,10,8,8,20,10,1,8,7,18,2,4,3,19,5,4,49,18,4,8,13,18,2,14,1,3,1,14,1,18,2,8,2,10,2,8,3,18,3,8,7,10,1,8,2,18,4,8,1,10,6,8,5,10,6,8,3,10,2,8,1,18,2,3,4,18,4,8,5,10,5,8,2,18,3,8,37,10,12,8,3,10,13,8,4,10,1,8,4,10,1,8,1,10,11,8,2,10,25,8,9,10,9,8,1,18,1,15,1,18,1,8,6,18,1,15,1,18,2,8,3,18,1,15,2,14,6,15,1,18,1,15,1,14,2,3,1,16,2,14,1,18,1,8,3,18,2,14,1,18,2,8,15,10,9,8,6,10,4,8,10,10,3,8,11,10,3,8,7,10,5,8,24,15,1,8,15,15,4,8,6,15,1,14,1,15,1,8,25,10,3,8,7,10,45,8,5,10,16,8,2,10,13,8,2,10,11,8,1,10,134,8,3,10,5,8,5,10,6,8,5,7,2,8,2,10,2,8,5,10,18,8,9,10,2,},
{4,1986,19,8,4,32,19,6,4,6,18,10,8,5,10,3,8,2,10,5,8,2,10,13,8,2,10,7,8,2,10,24,8,2,9,1,4,6,19,7,4,1,10,1,8,3,18,1,4,2,19,3,4,18,19,12,4,7,10,8,8,30,18,1,4,2,19,6,4,49,18,5,10,6,8,7,18,1,14,3,18,1,8,2,10,3,8,20,10,8,8,6,10,4,8,3,10,2,8,1,18,2,3,4,18,3,8,6,10,5,8,1,18,3,8,37,10,5,8,2,10,6,8,2,10,13,8,9,18,2,8,4,10,8,8,2,10,8,8,1,10,2,8,1,10,14,8,9,10,8,8,1,18,3,8,5,18,1,14,2,15,1,8,5,15,1,14,14,15,1,8,1,10,3,8,1,18,1,14,2,18,2,8,15,10,9,8,6,10,4,8,9,10,5,8,11,10,3,8,7,10,5,8,39,15,4,8,7,15,2,8,23,10,3,8,8,10,9,8,1,10,35,8,6,10,23,8,3,10,18,8,1,10,133,8,5,10,5,8,3,10,5,8,7,7,1,8,3,10,2,8,4,10,19,8,8,10,3,},
{4,1987,19,2,4,37,19,10,4,3,18,10,8,1,18,1,8,2,10,3,8,1,10,6,8,3,10,20,8,1,18,1,8,1,10,24,8,3,18,1,4,5,19,3,4,4,18,1,8,4,10,2,4,2,19,2,4,18,19,8,4,8,18,1,10,8,8,30,18,2,4,3,19,5,4,50,18,4,10,7,8,7,18,5,8,3,10,2,8,10,10,2,8,5,10,9,8,1,10,4,8,3,10,2,8,5,10,2,8,1,18,2,3,3,14,1,18,3,8,6,10,5,8,1,18,3,8,2,10,5,8,29,10,29,8,9,18,1,8,5,10,8,8,1,10,10,8,2,10,17,8,8,10,8,8,1,18,1,8,6,18,1,15,1,14,2,15,2,8,3,14,15,8,1,10,4,8,1,18,2,14,1,18,2,8,15,10,9,8,5,10,5,8,8,10,5,8,11,10,4,8,9,10,3,8,28,15,2,8,45,10,2,8,7,10,19,8,3,10,25,8,6,10,22,8,4,10,152,8,4,10,12,8,12,10,3,8,4,10,22,8,4,10,4,},
{4,2026,19,11,4,11,18,3,8,6,10,6,8,2,10,11,8,1,10,9,8,2,10,25,8,4,10,1,4,8,18,1,10,1,9,1,8,4,10,4,18,1,4,20,19,8,4,1,10,1,4,1,10,5,8,1,10,4,8,11,7,1,8,20,18,4,4,2,19,5,4,52,18,2,10,8,8,8,18,3,8,15,10,4,8,4,10,4,8,1,10,9,8,3,10,1,8,6,10,2,8,1,18,1,3,4,14,1,18,3,8,6,10,4,8,1,18,4,8,2,10,7,8,9,10,2,8,9,10,2,8,5,10,30,8,4,10,2,8,2,10,1,8,2,10,11,8,1,10,9,8,2,10,13,8,2,10,2,8,9,10,8,8,9,18,1,15,1,14,3,15,1,8,1,15,1,14,1,3,1,14,6,15,2,14,2,3,2,14,1,15,1,8,8,18,2,8,15,10,9,8,3,10,7,8,8,10,4,8,11,10,6,8,39,15,2,8,6,15,2,8,45,10,20,8,2,10,26,8,5,10,23,8,4,10,153,8,2,10,14,8,11,10,4,8,2,10,23,8,3,10,5,},
{4,2026,19,14,4,9,18,1,8,8,10,16,8,3,10,8,8,3,10,25,8,4,9,1,4,8,8,5,10,7,4,20,19,7,4,1,10,6,8,4,10,2,8,28,10,3,8,2,18,3,4,3,19,5,4,52,18,1,10,8,8,2,18,5,8,19,10,5,8,4,10,5,8,1,10,8,8,2,10,2,8,5,10,2,8,1,18,2,3,4,14,1,18,3,8,5,10,5,8,6,10,9,8,8,10,2,8,4,10,2,8,3,10,37,8,3,10,44,8,2,10,3,8,8,10,8,8,4,10,1,8,4,18,1,15,1,14,4,8,1,15,1,3,1,16,2,3,1,14,2,15,4,14,1,3,2,14,2,15,4,18,1,8,2,10,1,8,17,10,10,8,1,10,9,8,8,10,4,8,11,10,6,8,4,18,2,8,32,15,1,14,1,15,1,8,6,15,3,8,21,15,2,8,17,18,2,8,2,10,48,8,5,10,23,8,3,10,16,8,2,10,152,8,11,10,30,8,1,10,6,},
{4,2027,19,17,4,5,8,13,10,12,8,3,10,6,8,5,10,22,8,1,10,5,8,2,4,8,10,12,4,20,19,5,4,3,10,4,8,6,10,2,8,6,10,3,8,18,10,3,8,2,18,4,4,2,19,6,4,53,10,3,18,1,10,3,8,1,18,8,8,18,10,6,8,6,10,2,8,1,10,8,8,1,10,3,8,5,10,2,18,3,3,4,14,1,18,3,8,3,10,11,8,2,10,9,8,3,18,2,8,3,10,1,8,5,10,1,8,4,10,90,8,6,10,10,8,2,10,3,8,3,15,1,14,4,15,1,8,1,14,1,16,4,14,1,15,1,8,2,15,1,14,5,15,1,8,1,15,2,14,1,15,1,8,1,10,3,8,13,10,13,8,1,10,9,8,8,10,3,8,12,10,6,8,3,18,4,8,31,15,3,8,6,15,3,8,20,15,4,8,3,15,2,8,11,18,1,8,3,10,11,8,1,10,36,8,6,10,24,8,1,10,15,8,3,10,146,8,4,10,3,8,7,10,33,8,1,10,6,},
{4,2034,19,12,4,3,10,3,8,11,10,12,8,1,10,7,8,4,10,5,8,1,10,16,8,3,10,6,4,8,10,12,4,21,19,1,4,5,18,1,10,3,8,14,10,5,8,17,10,2,8,2,18,5,4,2,19,5,4,31,18,1,3,1,18,1,4,23,18,4,8,1,18,4,14,1,18,2,8,9,10,1,8,10,10,5,8,4,18,2,8,1,10,10,8,2,10,2,8,5,10,1,8,1,18,2,14,1,3,5,18,3,8,3,10,4,8,1,10,17,8,2,7,1,14,2,7,1,8,2,10,2,8,4,10,2,8,3,10,42,8,2,10,47,8,5,10,9,8,3,10,4,8,1,15,2,14,4,15,2,14,1,16,3,14,1,15,1,9,2,8,1,14,2,17,1,14,2,15,4,14,1,15,1,8,1,10,4,8,13,10,13,8,1,10,5,8,5,10,1,8,1,10,2,8,18,10,6,8,43,15,4,8,14,15,2,8,6,15,2,7,2,15,2,8,2,15,2,8,16,10,10,8,2,10,13,8,3,10,11,8,2,10,6,8,7,10,22,8,3,10,14,8,3,10,141,8,3,10,3,8,2,10,4,8,6,10,33,8,2,10,6,},
{4,2036,19,10,4,2,10,4,8,2,18,2,8,6,10,22,8,2,10,6,8,4,10,2,8,4,10,7,8,4,10,1,8,2,18,4,4,3,18,3,10,12,4,24,18,4,8,15,10,6,8,21,18,5,4,2,19,5,4,32,18,1,3,2,4,24,10,1,18,2,8,1,18,3,3,1,14,1,18,1,8,8,10,5,8,8,10,6,8,2,10,1,8,1,18,1,8,1,10,10,8,2,10,7,8,1,18,1,3,9,18,2,8,3,10,4,8,1,10,5,8,1,10,11,8,2,14,1,3,2,7,1,8,1,10,3,8,4,10,3,8,2,10,4,8,3,10,32,8,6,10,18,8,2,10,19,8,2,10,7,8,4,10,2,8,1,10,5,8,3,10,4,18,1,15,2,14,1,3,2,14,1,15,2,14,2,3,1,14,1,15,1,10,2,8,1,15,1,14,1,17,1,16,1,17,1,14,5,15,1,8,1,10,4,8,13,10,14,8,3,10,3,8,5,10,5,8,18,10,4,8,30,15,1,8,13,14,3,15,1,8,13,15,3,8,6,15,2,7,2,15,2,8,9,10,6,8,5,10,11,8,1,10,12,8,4,10,11,8,2,10,6,8,8,10,21,8,5,10,13,8,1,10,142,8,3,10,9,8,6,10,4,8,3,10,25,8,3,10,6,},
{4,2037,19,9,4,3,10,1,4,4,18,2,8,2,18,2,8,3,10,2,8,1,10,13,8,2,10,12,8,19,10,3,8,1,18,10,8,6,10,3,8,2,10,1,4,22,18,5,8,1,10,2,8,12,10,5,8,22,18,3,4,4,19,6,4,33,18,2,4,24,10,3,8,2,18,4,8,8,10,6,8,9,10,9,8,1,10,11,8,1,18,1,8,4,10,2,8,1,18,2,3,11,18,1,8,3,10,8,8,2,10,11,8,2,14,3,8,2,10,3,8,3,10,4,8,1,10,4,8,4,10,32,8,11,10,11,8,5,10,17,8,3,10,5,8,10,10,3,8,1,18,2,8,1,10,4,18,1,15,1,8,2,14,8,15,1,8,1,10,1,9,1,15,1,14,3,3,2,14,5,8,1,10,4,8,15,10,13,8,10,10,4,8,22,10,2,8,44,14,2,15,1,8,14,7,1,14,2,7,1,8,5,7,4,8,10,10,2,8,10,10,25,8,2,10,21,8,9,10,4,8,3,10,12,8,2,10,2,8,1,10,8,8,2,10,146,8,3,10,8,8,4,10,7,8,3,10,25,8,2,10,7,},
{4,2041,19,4,4,11,18,4,8,9,10,25,8,6,18,2,8,6,18,1,8,1,10,6,8,22,10,4,4,3,18,1,4,6,18,1,4,5,18,2,8,4,10,5,8,4,10,1,8,2,10,7,8,22,18,3,4,6,19,6,4,58,18,1,10,4,8,2,18,2,8,3,18,2,8,3,10,7,8,3,10,4,8,4,10,18,8,2,18,4,8,1,10,2,8,1,18,1,14,1,3,5,18,2,3,2,16,1,3,1,14,1,8,4,10,10,8,2,10,5,8,8,10,18,8,2,10,22,8,2,10,9,8,12,10,9,8,7,10,15,8,4,10,3,8,3,18,1,15,1,18,1,8,3,18,1,8,2,10,3,8,1,18,2,8,1,10,3,8,3,10,1,8,1,15,1,14,7,8,2,15,1,14,3,3,1,14,1,3,1,14,4,15,1,8,1,10,5,8,3,18,1,8,21,10,5,8,4,10,7,8,68,18,1,15,1,18,1,8,15,7,5,8,3,7,3,8,7,7,1,14,1,15,1,8,6,18,1,8,7,10,49,8,1,10,4,8,11,10,23,8,3,10,9,8,2,10,135,8,4,10,5,8,3,10,23,8,2,10,22,},
{4,2056,18,4,8,9,10,5,8,3,10,7,8,2,10,9,8,5,18,1,14,1,18,1,8,1,18,2,8,1,18,3,10,7,8,22,10,6,8,1,10,2,8,2,18,3,8,1,10,4,8,5,10,5,8,3,10,10,8,21,18,5,4,8,19,2,4,61,18,2,10,3,8,2,18,1,8,4,18,2,8,1,10,8,8,1,14,2,8,1,10,5,8,3,10,18,8,1,18,5,8,1,10,1,8,1,18,1,14,5,3,1,14,1,8,1,18,1,14,1,3,1,16,2,18,1,8,2,18,1,8,1,10,10,8,2,10,5,8,4,10,7,8,3,10,11,8,3,10,21,8,4,10,10,8,2,10,1,8,4,10,2,8,1,10,9,8,7,10,15,8,5,10,1,8,3,18,1,15,2,18,1,8,4,18,1,8,2,10,2,8,1,18,2,8,1,10,3,8,3,10,2,8,1,18,1,15,2,14,4,15,2,14,1,3,1,14,2,3,2,14,4,18,1,8,1,10,5,8,3,18,1,7,1,18,1,8,23,10,1,8,5,10,7,8,73,7,4,8,9,7,10,8,7,7,2,14,1,15,1,8,4,15,3,18,2,8,4,10,56,8,11,10,12,8,1,10,9,8,3,10,9,8,1,10,137,8,4,10,4,8,3,10,6,8,1,10,16,8,2,10,22,},
{4,2056,10,1,8,12,10,5,8,4,10,6,8,3,10,12,8,1,18,2,8,6,18,2,10,3,8,2,10,1,8,12,7,2,8,8,10,4,8,2,10,4,8,3,18,1,8,2,10,3,8,5,10,6,8,3,10,8,8,22,18,6,4,71,18,1,10,4,8,2,18,2,8,1,18,3,8,2,10,1,8,1,10,5,8,1,7,1,17,1,3,1,18,1,10,6,8,1,10,17,8,3,18,5,8,3,18,1,14,7,8,1,18,1,3,2,16,1,3,1,8,1,10,1,8,3,10,11,8,1,10,5,8,1,18,1,8,3,10,7,8,7,10,3,8,2,10,2,8,2,10,22,8,2,10,11,8,6,10,13,8,7,10,14,8,2,18,1,8,3,10,2,8,2,18,4,8,7,10,2,8,4,10,5,8,3,18,1,15,1,8,3,15,1,14,4,16,1,3,1,15,2,14,1,3,1,14,1,18,3,8,1,10,6,8,2,14,3,18,1,8,29,10,6,8,6,10,4,8,2,10,2,8,48,18,1,8,11,7,7,8,4,7,11,8,8,7,2,15,1,8,14,10,57,8,2,10,3,8,4,10,12,8,3,10,8,8,3,10,147,8,4,10,4,8,4,10,22,8,2,10,22,},
{4,2056,10,3,8,3,10,1,8,6,10,4,8,5,10,6,8,5,10,10,8,3,10,5,8,1,18,1,8,1,10,2,8,6,10,5,8,5,7,2,8,4,18,2,8,2,10,3,8,1,18,1,8,1,10,4,8,2,18,1,8,3,10,3,8,5,10,5,8,3,10,9,8,20,18,2,14,1,3,1,18,2,4,73,18,1,10,4,8,2,18,6,8,1,10,2,8,2,10,4,8,1,14,1,16,2,18,1,10,23,8,3,18,5,8,4,18,1,14,2,18,1,14,3,18,2,14,1,3,1,16,1,3,2,8,1,10,1,8,3,10,17,8,1,18,1,8,4,10,2,8,3,10,2,8,2,18,2,8,2,10,2,8,3,10,41,8,2,10,36,8,2,18,1,8,1,10,4,8,14,10,1,8,3,10,6,8,6,10,1,8,2,14,3,3,1,16,1,3,1,15,1,8,1,14,3,18,1,8,2,10,7,8,1,15,1,14,2,7,1,18,1,8,29,10,6,8,5,10,10,8,47,15,2,8,8,18,1,15,1,7,17,8,1,7,4,8,25,10,27,8,1,10,35,8,3,10,10,8,5,10,8,8,2,10,150,8,4,10,3,8,4,10,45,},
{4,2056,10,8,8,5,10,2,8,6,10,7,8,5,10,9,8,4,10,5,8,4,10,1,8,6,10,4,8,6,18,2,8,3,18,1,14,2,18,2,8,3,18,1,3,1,18,1,10,3,8,11,18,2,8,1,10,5,8,4,10,8,8,15,7,1,8,2,18,4,3,3,18,1,4,74,18,2,10,3,8,2,18,5,8,2,10,2,8,2,10,3,8,2,14,1,16,2,18,1,10,1,8,1,10,18,8,8,18,3,8,4,14,2,18,2,14,4,18,1,14,1,16,2,3,1,18,1,10,3,8,3,10,16,8,1,18,2,8,2,10,3,8,2,10,3,8,2,18,2,8,1,10,3,8,3,10,79,8,4,10,5,8,6,10,2,8,2,18,2,8,3,10,6,8,6,10,3,8,1,15,1,14,4,3,2,14,1,15,2,18,2,8,2,10,7,8,1,18,5,8,30,10,8,8,1,10,12,8,57,15,1,7,23,8,4,7,2,8,18,10,21,8,2,10,4,8,1,10,36,8,2,10,9,8,7,10,162,8,3,10,5,8,3,10,27,8,1,10,15,},
{4,2057,10,12,8,8,10,7,8,5,10,2,8,7,18,2,8,1,10,2,8,2,10,2,8,7,18,1,8,3,10,4,8,8,10,2,8,1,18,1,3,3,18,2,8,1,18,2,3,1,18,1,10,3,8,13,10,6,8,7,10,5,8,14,18,1,14,2,18,9,4,74,18,2,10,3,8,8,10,3,8,2,10,3,8,2,3,1,16,2,18,1,8,3,10,15,8,8,18,5,8,3,7,1,14,9,3,1,16,3,14,1,8,1,10,3,8,2,10,16,8,1,18,2,8,2,10,8,8,4,10,3,8,1,10,17,8,2,10,61,8,4,10,7,8,7,10,2,8,1,18,1,14,1,18,1,8,2,10,6,8,1,18,2,8,1,10,5,8,2,15,3,14,1,3,1,16,1,3,1,14,1,18,1,8,1,9,1,10,8,8,2,18,2,8,34,10,21,8,56,15,1,7,29,8,2,10,2,8,13,10,22,8,2,10,41,8,2,10,8,8,9,10,162,8,2,10,5,8,3,10,26,8,2,10,15,},
{4,2058,10,12,8,7,10,4,8,6,10,4,8,3,18,3,14,3,8,1,10,2,8,1,10,3,8,3,10,2,8,2,18,2,8,3,10,3,8,7,10,3,8,1,14,1,3,3,18,5,3,1,18,1,8,1,10,8,8,6,10,5,8,4,10,1,8,5,10,3,8,15,7,2,14,3,3,2,18,2,4,77,18,2,10,3,8,8,10,3,8,2,10,3,8,1,18,1,14,1,16,1,3,1,18,1,8,3,10,6,8,1,10,8,8,4,18,8,8,3,7,1,14,6,3,3,14,1,3,1,16,3,3,1,8,1,10,14,8,2,10,5,8,1,18,1,8,3,10,9,8,1,10,3,8,3,10,17,8,1,10,61,8,4,10,7,8,2,18,3,8,4,10,1,8,1,18,1,15,1,8,3,10,5,8,2,15,1,8,1,10,4,8,7,14,1,3,1,16,2,14,1,8,1,10,10,8,40,10,19,8,58,7,24,14,2,7,1,8,18,10,22,8,1,10,42,8,1,10,9,8,8,10,78,8,1,10,18,8,1,10,73,8,1,10,27,8,1,10,16,},
{4,2058,10,13,8,6,10,3,8,7,10,4,8,2,18,2,14,5,8,1,10,5,8,3,10,4,8,2,18,2,8,2,10,4,8,6,10,3,8,1,18,1,3,2,18,8,10,10,8,3,10,6,8,5,10,2,8,2,18,1,8,1,10,3,8,16,18,3,3,1,18,3,4,78,18,3,8,5,10,4,8,6,10,3,8,1,18,1,14,1,3,1,14,1,8,1,10,1,8,2,10,6,8,1,10,9,8,3,18,3,14,1,18,4,8,3,7,1,14,5,3,6,16,4,14,1,10,14,8,3,10,3,8,5,10,12,8,4,10,3,8,2,10,5,8,1,10,13,8,1,10,53,8,6,10,7,8,1,18,7,8,1,10,1,8,9,10,1,8,2,18,1,15,1,8,1,10,3,8,4,10,2,8,2,14,1,16,3,14,1,8,1,10,9,8,3,18,1,8,38,10,18,8,42,15,1,8,15,7,14,8,1,7,4,8,2,7,5,8,6,15,2,8,6,10,80,8,7,10,172,8,1,10,44,},
{4,2058,10,15,8,5,10,1,8,2,18,2,8,4,10,5,8,1,18,1,14,5,18,1,8,1,10,3,8,4,10,5,8,2,18,2,8,2,10,9,8,2,10,2,8,1,18,3,8,1,10,2,8,1,18,3,8,1,10,11,8,1,10,7,8,5,10,2,8,4,10,2,8,14,18,8,4,81,18,3,8,2,10,6,8,5,10,3,8,1,18,1,14,1,3,2,18,1,10,3,8,1,10,12,8,3,10,3,8,1,18,2,3,3,14,1,18,1,8,3,7,1,14,1,3,1,17,1,14,3,17,2,3,2,14,1,3,1,16,4,3,1,8,1,10,10,8,6,10,3,8,5,10,11,8,5,10,3,8,3,10,2,8,3,10,12,8,2,10,53,8,5,10,7,8,1,18,1,14,4,18,3,8,2,10,1,8,2,10,2,8,3,18,1,8,6,10,3,8,6,15,2,14,1,16,3,14,1,8,1,10,9,8,2,18,2,8,39,10,17,8,31,18,1,8,14,10,1,8,11,7,20,8,1,7,3,8,5,7,1,14,3,15,1,8,5,10,81,8,6,10,32,8,2,10,184,},
{4,2058,9,1,10,17,8,11,10,4,8,3,18,1,14,2,7,1,14,1,18,1,8,9,10,1,8,5,18,2,8,2,10,8,8,9,10,4,8,2,10,12,8,2,10,7,8,5,10,1,8,6,10,1,8,9,18,9,4,6,19,2,4,78,18,3,8,1,10,6,8,4,10,4,8,1,18,1,3,2,14,1,8,1,10,3,8,1,10,12,8,8,18,1,14,1,3,2,14,1,18,1,8,3,7,1,14,1,17,2,3,1,14,1,3,1,16,3,3,3,16,4,3,1,8,1,10,9,8,8,10,1,8,5,10,12,8,4,10,4,8,3,10,2,8,3,10,12,8,3,10,3,8,1,10,48,8,5,10,2,8,1,10,4,8,1,18,1,14,4,18,3,8,2,10,6,8,1,18,1,15,1,18,2,8,12,15,1,14,2,3,4,14,1,18,1,8,2,10,7,8,2,18,3,8,38,10,16,8,31,18,2,8,26,7,19,8,9,7,1,14,4,18,1,8,1,10,40,8,3,10,42,8,7,10,5,8,2,10,10,8,2,10,11,8,3,10,184,},
{4,2057,18,1,8,1,10,20,8,1,10,1,8,7,10,3,8,3,18,1,7,1,18,4,8,15,18,2,8,1,10,8,8,2,18,2,8,5,10,12,8,11,10,3,8,1,10,1,8,21,7,2,18,2,8,2,18,1,4,4,19,7,4,79,18,2,8,1,10,6,8,4,10,4,8,1,18,1,3,2,18,1,8,1,10,4,8,1,10,11,8,7,18,10,7,1,14,1,17,2,14,2,3,1,16,3,3,3,16,4,3,1,18,1,8,1,10,7,8,15,10,11,8,4,10,6,8,1,10,4,8,2,10,12,8,3,10,3,8,1,10,48,8,5,10,7,8,1,18,2,14,1,18,2,8,4,10,7,8,8,15,2,18,1,8,5,14,8,15,1,18,1,8,3,10,6,8,2,18,3,8,40,10,14,8,58,7,20,8,7,7,1,14,5,15,1,8,2,10,4,8,1,10,34,8,1,18,1,8,2,10,42,8,7,10,4,8,2,10,11,8,2,10,11,8,1,10,186,},
{4,2058,9,1,10,25,8,12,18,4,8,2,18,2,8,6,18,2,8,6,10,6,8,11,10,12,8,36,7,2,14,2,18,1,8,1,18,1,4,3,19,9,4,79,18,2,10,7,8,5,10,4,18,1,3,3,8,1,10,4,8,7,10,7,8,2,18,3,8,3,18,7,7,1,14,1,3,1,14,3,3,2,16,2,17,1,3,2,16,3,3,1,14,1,18,1,8,22,10,11,8,3,10,3,8,3,10,21,8,2,10,36,8,6,10,12,8,1,10,4,8,1,18,1,10,4,8,2,18,1,8,4,10,15,8,2,15,4,8,5,14,2,3,1,14,2,15,2,8,5,10,6,8,2,18,3,8,41,10,10,8,1,10,1,8,49,7,3,8,7,7,18,8,9,7,1,14,4,15,1,8,3,10,4,8,3,10,32,8,1,18,3,8,1,10,29,8,5,10,7,8,8,10,4,8,1,10,12,8,2,10,198,},
{4,2058,10,7,8,4,10,17,8,10,7,4,8,2,7,1,8,7,7,2,8,7,10,4,8,14,10,10,8,24,10,2,8,10,7,1,14,2,18,4,4,1,19,10,4,81,18,1,10,7,8,5,10,4,18,1,3,3,18,1,10,4,8,7,10,7,8,2,18,3,8,5,18,3,14,1,18,1,7,1,14,2,7,2,14,1,3,7,16,2,3,1,14,2,18,2,8,1,18,5,8,3,10,3,8,4,10,1,8,4,10,11,8,2,10,4,8,3,10,22,8,1,10,36,8,4,10,19,8,2,10,4,8,5,10,7,8,4,10,7,8,1,15,1,14,1,8,2,15,2,14,1,15,1,8,2,14,3,15,1,18,1,8,5,10,7,8,2,18,3,8,35,10,16,8,45,15,1,8,4,7,4,8,6,7,13,8,15,14,4,8,2,10,6,8,5,10,31,8,1,18,2,8,1,10,20,8,5,10,4,8,6,10,8,8,7,10,16,8,2,10,199,},
{4,2058,10,6,8,6,10,18,8,9,7,2,8,3,7,1,8,5,7,4,8,27,10,3,8,2,10,3,8,25,10,1,8,10,7,1,14,1,18,4,4,2,19,7,4,84,18,1,10,4,8,1,10,4,8,4,10,4,3,3,18,1,8,1,10,3,8,6,10,8,8,2,18,2,8,6,18,3,14,1,7,6,18,1,7,1,14,3,3,6,14,2,18,3,14,5,18,2,8,1,10,3,8,1,18,1,8,2,10,2,8,3,10,19,8,1,10,59,8,4,10,19,8,2,10,5,8,1,10,10,8,4,10,7,8,2,15,1,8,2,15,1,14,2,15,1,8,2,18,1,14,1,18,1,8,2,10,2,8,3,10,7,8,2,18,3,8,34,10,19,8,47,7,5,8,4,7,5,8,2,7,2,14,3,7,2,8,15,7,1,14,2,15,1,8,2,10,6,8,4,10,32,8,4,10,21,8,5,10,4,8,12,10,3,8,3,10,6,8,1,10,3,8,2,10,6,8,3,10,43,8,3,10,153,},
{4,2058,10,6,8,7,10,19,8,12,7,1,8,4,7,4,8,27,10,4,8,43,18,3,8,1,4,2,19,5,4,87,10,3,8,2,10,6,8,3,10,1,8,1,10,1,18,1,3,2,18,1,8,1,10,4,8,5,10,9,8,7,18,7,7,3,8,5,18,1,7,1,14,1,3,7,14,1,18,2,14,2,3,3,14,1,18,1,8,1,10,2,8,1,18,3,8,1,10,2,8,4,10,19,8,1,10,3,8,2,10,53,8,4,10,19,8,2,10,4,8,2,10,10,8,3,10,4,8,3,10,2,8,3,15,2,14,2,15,1,8,2,14,1,15,1,8,1,10,3,8,2,18,1,8,1,10,7,8,2,18,1,14,1,18,1,8,34,10,14,8,2,10,5,8,44,7,4,8,6,7,4,8,3,7,2,14,4,7,1,8,7,7,2,8,2,7,4,15,1,8,3,10,4,8,7,10,6,8,2,10,24,8,3,10,24,8,3,10,6,8,3,10,1,8,8,10,10,8,3,10,1,8,3,10,3,8,1,10,1,8,1,18,2,8,1,10,1,8,3,10,38,8,3,10,154,},
{4,2058,10,6,8,8,10,8,8,2,10,7,8,13,7,1,8,3,7,4,8,28,10,3,8,45,18,1,8,1,10,1,4,2,19,5,4,88,10,2,8,2,10,4,8,2,18,2,8,1,10,1,8,1,10,1,18,4,8,1,10,4,8,1,18,1,8,2,10,11,8,5,18,2,14,2,18,2,8,1,18,1,7,2,8,7,18,1,14,3,3,4,14,2,18,3,14,3,3,1,18,2,8,1,10,2,8,1,18,2,8,2,10,2,8,4,10,24,8,1,10,11,8,1,10,41,8,4,10,19,8,2,10,3,8,4,10,5,8,7,10,4,8,4,10,3,8,1,15,4,8,2,15,1,14,1,18,1,10,4,8,1,18,2,8,1,10,7,8,2,18,3,8,34,10,12,8,5,10,3,8,28,18,3,8,14,7,4,8,5,7,5,8,3,7,2,14,4,7,2,8,7,7,2,14,4,8,2,10,5,8,8,10,7,8,2,10,33,8,1,10,31,8,5,10,16,18,2,8,1,10,3,8,1,10,1,8,1,18,2,8,1,10,1,8,4,10,17,8,1,10,176,},
{4,2058,18,1,10,5,8,12,10,11,8,16,7,1,8,2,7,3,8,17,10,1,8,12,10,2,8,47,10,1,4,2,19,5,4,82,19,4,4,2,18,1,8,1,18,1,8,1,10,3,8,1,18,1,3,2,14,1,8,1,10,5,8,1,10,7,18,2,8,1,10,3,8,2,10,7,8,4,18,1,14,2,18,2,8,2,18,2,8,5,18,1,7,2,14,5,3,2,14,2,18,7,8,6,18,2,8,1,10,1,8,4,10,7,8,2,10,26,8,4,10,42,8,4,10,9,8,1,10,9,8,2,10,3,8,4,10,5,8,4,10,2,8,1,10,5,8,3,10,2,8,1,15,1,14,1,15,1,8,3,15,1,14,2,8,1,10,4,8,2,10,7,8,36,10,1,8,1,10,4,8,4,10,6,8,35,15,2,18,1,8,11,15,1,8,1,15,1,8,4,7,18,14,5,8,7,15,1,14,4,18,1,8,1,10,5,8,6,10,91,8,3,10,2,8,1,18,3,10,6,8,1,18,2,8,6,10,15,8,2,10,23,8,2,10,152,},
{4,2058,18,1,8,1,10,5,8,12,10,9,8,17,7,3,8,19,10,2,8,12,10,3,8,46,10,1,4,2,19,5,4,82,19,5,4,2,18,2,10,4,18,1,3,3,14,1,8,1,10,9,8,2,10,1,8,1,18,2,10,3,8,3,10,3,8,8,18,5,8,2,18,1,7,1,18,1,8,4,18,2,14,1,3,1,14,2,18,2,14,2,18,2,8,3,18,5,8,7,10,3,8,2,10,7,8,2,10,26,8,5,10,42,8,1,10,21,8,4,10,3,8,3,10,5,8,4,10,9,8,1,10,3,8,1,14,2,15,1,8,3,14,3,8,1,10,3,8,3,10,7,8,36,10,6,8,4,10,5,8,6,18,1,8,28,15,2,14,1,18,2,8,5,18,1,8,1,15,4,8,6,7,11,8,1,7,1,14,2,7,1,8,2,7,1,14,3,7,1,8,7,15,1,14,3,18,1,8,1,10,5,8,5,10,75,8,3,10,15,8,3,10,1,8,1,18,4,8,1,10,7,8,6,10,15,8,3,10,14,8,2,10,7,8,2,10,152,},
{4,2058,18,1,10,8,8,10,10,9,8,2,10,4,8,9,7,5,8,6,7,1,8,3,10,2,8,21,10,5,8,44,10,1,4,2,19,5,4,82,19,5,4,4,10,4,18,1,3,3,18,1,8,1,10,8,8,4,18,2,8,1,10,3,8,3,10,3,8,14,18,1,7,1,14,2,7,1,8,5,18,1,3,2,14,1,18,2,8,7,18,1,14,1,3,3,14,1,18,1,8,1,10,4,8,1,10,2,8,1,10,3,8,1,10,15,8,3,10,15,8,5,10,63,8,4,10,2,8,4,10,6,8,3,10,9,8,1,10,3,8,1,15,1,14,1,15,1,8,2,15,1,14,2,15,1,8,1,10,3,8,3,10,7,8,3,10,1,8,37,10,3,8,1,10,5,8,37,15,4,18,1,8,4,18,1,15,4,8,5,7,12,8,2,7,2,14,1,7,8,8,6,15,3,8,5,10,82,8,6,10,2,8,3,10,8,8,3,10,3,8,1,18,7,8,1,10,3,8,4,10,18,8,1,10,15,8,2,10,8,8,1,10,152,},
{4,2059,10,12,8,6,10,13,8,5,18,12,8,8,10,3,8,21,10,5,8,45,18,1,4,2,19,4,4,82,19,6,4,4,10,2,8,1,18,1,14,2,18,1,8,2,10,4,8,1,10,3,8,2,18,1,14,2,18,1,8,1,10,2,8,4,10,2,8,4,18,2,8,7,18,3,14,1,3,2,14,1,18,4,8,1,18,1,14,3,18,1,8,4,18,2,8,3,14,1,3,1,16,2,3,1,18,1,10,3,8,4,10,4,8,3,10,5,8,1,10,7,8,4,10,16,8,4,10,39,8,1,10,16,8,2,10,5,8,4,10,2,8,3,10,8,8,2,10,8,8,2,10,3,8,1,15,1,14,7,18,1,8,1,10,2,8,1,18,2,8,4,10,8,8,21,7,4,8,12,10,7,8,40,15,3,8,5,18,1,15,4,8,2,10,1,8,2,7,9,8,2,7,5,14,1,7,7,8,7,15,1,8,3,10,2,8,6,10,79,8,5,10,2,8,3,10,6,8,5,10,5,8,1,18,5,8,1,10,3,8,3,10,5,8,1,10,39,8,1,10,152,},
{4,2059,10,4,18,4,10,6,8,4,10,11,8,4,18,5,3,3,14,2,18,6,8,1,18,2,8,3,10,4,8,2,18,3,8,5,18,1,8,12,10,3,8,42,18,2,8,1,18,1,4,3,19,7,4,78,19,8,4,2,10,2,8,1,18,3,8,1,10,1,8,2,10,3,8,2,10,2,8,2,18,1,3,2,18,1,10,3,8,4,10,1,8,3,18,5,8,5,18,3,14,1,3,2,14,2,18,1,14,3,18,2,14,1,18,2,8,4,18,1,14,2,18,1,8,2,14,1,3,1,16,2,3,1,8,1,10,1,8,6,10,3,8,4,10,12,8,4,10,8,8,2,10,9,8,1,10,39,8,2,10,23,8,3,10,3,8,3,10,12,8,1,10,5,8,2,10,3,8,1,14,8,18,1,8,3,14,2,8,5,10,5,8,1,10,3,8,19,7,6,18,1,8,10,10,7,8,41,15,1,18,1,8,6,15,3,8,3,10,1,8,2,7,9,8,2,7,5,14,3,7,3,8,1,15,3,14,1,15,2,8,13,10,108,8,2,18,1,10,5,8,3,10,5,8,2,10,38,8,1,10,11,8,1,10,11,8,2,10,127,},
{4,2059,10,2,18,9,4,4,10,1,4,1,10,1,4,2,10,8,8,2,18,18,8,2,18,1,8,2,10,6,8,1,18,4,8,4,18,4,8,3,10,3,8,4,10,3,8,39,7,3,18,5,4,3,19,6,4,79,19,1,4,1,19,6,4,2,18,4,8,1,10,2,8,1,18,1,8,1,10,3,8,1,10,2,8,2,18,1,3,2,18,1,10,1,8,9,18,2,14,3,18,2,8,3,18,2,14,2,3,2,14,1,18,3,14,1,3,2,14,1,18,2,8,5,18,1,3,3,18,1,8,2,18,1,3,3,14,1,8,1,10,1,8,2,10,2,8,1,10,3,8,4,10,12,8,4,10,8,8,4,10,47,8,3,10,22,8,3,10,3,8,4,10,12,8,2,10,3,8,3,10,3,15,1,14,1,3,1,14,5,15,1,8,2,18,1,14,3,8,1,10,2,8,2,10,4,8,3,10,1,8,17,7,1,15,2,7,6,18,2,8,10,10,6,8,16,15,2,8,14,15,2,8,15,15,1,8,8,7,7,8,3,7,5,14,3,7,3,8,2,15,1,14,4,15,1,8,12,10,73,8,4,10,28,8,1,18,1,8,2,10,5,8,6,10,56,8,2,10,11,8,2,10,127,},
{4,2080,10,6,8,2,18,1,14,1,3,3,18,13,10,3,8,2,10,2,8,2,10,2,8,2,18,4,10,5,18,3,8,3,10,3,8,5,10,2,8,5,10,2,8,29,7,5,14,1,18,7,4,2,19,7,4,80,19,5,4,4,18,1,8,1,10,3,8,1,18,3,8,1,10,5,8,1,18,1,3,2,18,1,8,9,18,2,14,5,18,5,14,3,3,1,14,1,18,2,8,1,18,2,3,2,14,1,18,1,8,5,18,1,3,4,14,1,8,3,18,1,14,2,8,1,10,10,8,3,10,10,8,6,10,9,8,5,10,44,8,5,10,22,8,3,10,2,8,5,10,12,8,2,10,2,8,2,15,1,8,1,10,3,15,1,14,1,16,1,3,1,14,3,15,1,8,3,18,1,14,2,18,1,10,4,8,1,10,4,8,3,10,1,8,17,7,1,18,1,8,2,18,1,7,4,18,1,8,11,10,6,8,15,15,3,8,13,15,2,8,6,15,2,8,3,15,1,7,3,8,10,7,6,8,4,7,3,14,3,7,3,8,4,15,1,14,4,15,1,8,5,18,1,14,2,18,1,8,1,10,73,8,7,10,27,8,3,18,1,8,1,10,3,8,9,10,54,8,2,10,140,},
{4,2080,10,5,8,2,18,2,3,3,18,1,4,17,10,2,8,3,10,2,8,2,18,2,4,11,10,6,8,11,10,2,8,29,7,6,14,2,18,6,4,2,19,9,4,77,19,6,4,4,10,3,8,1,18,5,10,5,8,1,18,4,8,8,18,2,14,7,18,2,14,7,18,1,8,3,18,4,8,4,18,2,14,1,3,4,18,1,8,1,10,2,8,3,10,11,8,3,10,9,8,11,10,6,8,4,10,43,8,6,10,6,8,1,10,15,8,2,10,3,8,4,10,13,8,5,15,2,8,1,10,2,8,1,14,1,3,1,16,2,14,2,15,1,8,4,18,1,14,1,18,1,8,1,10,9,8,43,10,5,8,14,15,4,8,20,15,2,8,3,15,3,7,1,15,1,8,20,7,3,14,3,7,2,8,4,7,1,14,4,15,1,8,5,18,1,14,3,8,2,10,72,8,8,10,5,8,3,10,7,8,1,10,3,8,2,10,6,8,3,18,1,8,8,10,2,8,4,10,53,8,1,10,141,},
{4,2054,19,9,4,18,18,7,3,3,18,1,4,4,19,9,4,5,18,1,10,1,8,3,10,5,4,12,10,6,8,12,10,1,8,29,7,9,14,3,3,1,18,2,4,3,19,8,4,78,19,4,4,4,10,1,8,1,18,7,8,1,10,4,8,1,18,1,8,5,10,1,8,3,18,6,14,5,18,4,14,4,18,5,8,6,18,2,3,6,18,1,8,1,10,18,8,5,10,2,8,12,18,1,8,2,10,53,8,4,10,7,8,3,10,10,8,1,10,2,8,3,10,3,8,4,10,13,8,5,15,2,8,1,10,2,8,1,14,2,16,2,14,2,8,1,10,2,8,2,18,2,8,1,10,10,8,43,10,5,8,14,15,3,8,23,15,1,8,1,7,5,8,8,7,2,8,12,7,2,14,2,7,1,8,6,18,1,15,1,18,3,8,6,18,3,8,2,10,73,8,7,10,6,8,3,10,11,8,1,18,1,8,1,10,5,8,6,10,8,8,4,10,195,},
{4,2054,19,10,4,17,18,9,4,6,19,10,4,5,10,1,9,3,10,2,4,16,9,1,8,2,10,3,8,41,7,11,14,2,3,1,18,3,4,2,19,7,4,79,19,3,4,4,18,2,3,2,18,5,8,1,10,4,8,2,10,2,8,2,10,3,8,2,18,6,14,5,18,12,8,2,10,2,8,1,18,2,3,7,18,1,8,1,10,10,8,1,10,1,8,2,10,5,8,5,10,2,8,6,10,2,8,3,18,2,8,2,10,49,8,2,10,12,8,4,10,13,8,3,10,3,8,3,10,14,8,8,10,2,15,1,14,1,3,1,16,2,14,1,15,1,8,1,10,3,8,3,10,11,8,43,10,4,8,14,15,3,8,24,15,1,7,1,14,2,7,2,8,8,7,3,8,12,7,2,14,1,7,2,8,15,18,2,8,3,10,76,8,1,10,14,8,2,10,8,8,1,18,2,8,1,10,3,8,8,10,1,8,1,10,4,8,5,10,196,},
{4,2054,19,10,4,17,18,7,4,8,19,10,4,6,18,2,4,20,18,3,10,3,8,40,7,10,14,4,18,4,4,2,19,8,4,80,19,3,4,2,18,1,3,2,18,1,8,2,18,2,8,1,10,3,8,1,18,1,8,1,10,2,8,2,10,4,8,1,18,5,14,2,3,2,14,2,18,2,8,5,18,4,8,2,10,2,8,1,18,1,3,8,18,1,8,1,10,3,8,6,10,2,8,1,10,8,8,4,10,3,8,4,10,4,8,3,18,1,8,3,10,48,8,3,10,12,8,4,10,14,8,1,10,3,8,4,10,15,8,7,10,1,8,1,14,2,3,3,14,2,8,1,10,2,8,3,10,12,8,3,10,1,8,35,10,2,8,2,10,4,8,13,15,3,8,25,7,1,14,3,7,1,8,9,7,3,8,12,7,4,15,1,8,5,15,1,8,7,18,3,8,2,10,61,8,4,10,28,8,3,10,7,8,1,18,2,8,2,10,1,8,3,10,2,8,3,18,2,8,8,10,72,8,4,10,122,},
{4,2054,19,10,4,18,10,1,18,4,4,10,19,9,4,34,10,1,8,1,18,1,8,14,10,1,8,23,7,9,14,5,3,2,18,2,4,2,19,8,4,79,19,4,4,1,18,1,3,2,18,1,10,3,8,2,10,2,8,1,18,2,8,1,10,2,8,2,10,4,8,1,18,5,14,1,3,3,14,2,18,1,8,6,18,4,8,1,10,3,18,1,3,5,18,2,14,2,18,1,8,1,10,3,8,1,18,5,8,2,10,10,8,3,10,2,8,1,10,8,8,5,10,3,8,2,10,40,8,2,10,1,8,5,10,12,8,4,10,17,8,4,10,18,8,6,15,1,14,1,3,3,14,3,8,6,10,4,8,1,10,7,8,3,10,1,8,35,10,3,8,1,10,3,8,13,15,4,8,25,7,1,14,2,7,2,8,8,7,3,8,13,7,4,15,1,8,2,15,4,8,7,18,1,15,1,18,1,8,1,10,62,8,1,18,2,8,1,10,28,8,2,10,7,8,2,18,2,8,2,10,2,8,1,10,4,8,2,18,3,8,7,10,15,8,1,10,50,8,2,10,3,8,5,10,122,},
{4,2054,19,10,4,17,18,1,10,2,18,3,4,13,19,6,4,34,10,1,18,3,8,12,10,9,8,17,7,12,14,3,3,1,18,2,4,3,19,6,4,79,19,4,4,2,18,1,3,1,18,1,8,1,10,2,8,3,18,5,10,2,8,2,10,3,8,2,18,4,14,1,3,4,14,1,18,2,8,7,18,2,8,2,10,2,8,1,3,4,18,7,8,2,10,1,8,2,18,1,3,2,14,1,18,1,8,1,10,4,8,2,10,19,8,4,10,4,8,2,10,39,8,3,10,3,8,3,10,12,8,4,10,8,8,1,10,8,8,2,10,14,8,3,10,2,8,6,15,1,14,3,3,1,14,3,15,2,8,5,10,3,8,2,10,6,8,11,10,2,8,27,10,6,8,14,15,4,8,13,15,2,8,7,15,2,8,1,7,4,8,8,7,2,8,3,7,1,8,10,7,5,18,1,8,1,18,4,8,7,18,3,8,1,10,63,8,1,18,1,8,2,10,28,8,1,10,3,8,2,10,4,8,4,10,8,8,1,18,1,8,1,18,2,8,7,10,15,8,1,10,49,8,4,10,2,8,4,10,123,},
{4,2055,19,9,4,18,10,1,4,21,19,1,4,37,18,2,8,11,10,11,8,18,7,11,14,3,18,3,4,4,19,4,4,79,19,5,4,1,18,4,10,2,18,6,8,2,18,3,8,1,10,2,8,2,18,4,14,1,3,4,14,2,18,2,8,7,18,3,8,3,18,1,3,4,18,1,8,2,18,5,8,4,18,1,3,3,18,1,8,1,10,12,8,1,10,2,8,2,10,8,8,4,10,3,8,3,10,39,8,1,10,6,8,1,10,9,8,1,10,15,8,1,10,3,8,1,10,3,8,2,10,16,8,2,10,2,8,5,15,1,14,6,8,3,15,2,8,1,10,6,8,1,10,6,8,33,10,2,8,7,10,4,8,14,15,5,8,5,15,1,8,7,15,3,8,20,7,2,8,4,7,1,8,10,7,1,8,1,7,2,8,3,18,1,8,9,18,1,8,4,10,62,8,4,10,38,8,2,18,2,8,2,10,7,8,2,18,3,8,6,10,16,8,2,10,27,8,1,10,20,8,4,10,129,},
{4,2143,18,1,8,11,10,11,8,19,7,8,14,4,18,7,4,1,19,4,4,79,19,5,4,2,18,7,3,1,14,1,18,1,10,3,18,3,8,3,18,2,14,1,18,3,3,3,14,3,18,7,8,4,18,4,8,2,18,1,3,2,14,1,8,3,18,1,14,1,18,4,8,1,10,1,8,1,18,1,3,3,18,1,8,1,10,11,8,3,10,1,8,2,10,9,8,8,10,54,8,6,10,13,8,1,10,2,8,3,10,1,8,2,10,17,8,2,10,2,8,5,15,1,14,6,8,1,10,1,8,4,10,3,8,2,10,8,8,2,18,1,8,29,10,3,8,2,18,3,8,3,10,2,8,16,15,3,8,6,15,2,8,6,15,4,8,51,15,1,14,1,18,1,8,2,10,64,8,3,10,39,8,1,14,3,18,1,8,1,10,6,8,5,10,2,8,2,10,19,8,3,10,26,8,1,10,18,8,2,10,61,8,3,10,69,},
{4,2144,18,1,7,2,8,9,10,10,8,21,7,9,18,2,14,2,3,3,18,1,4,2,19,3,4,79,19,4,4,5,18,1,4,2,18,2,3,2,18,1,8,1,10,1,18,1,3,2,18,5,3,1,18,2,8,1,18,1,14,1,3,2,14,1,18,11,8,3,18,1,3,1,18,2,8,2,18,1,3,1,18,4,3,2,18,2,3,2,18,1,8,3,14,1,3,1,14,1,18,1,10,12,8,3,10,2,8,1,10,10,8,6,10,53,8,8,10,12,8,2,10,2,8,2,10,22,8,1,10,2,8,3,15,2,14,4,15,1,14,1,8,1,10,3,8,3,10,4,8,2,10,6,8,34,10,1,8,3,18,3,8,4,10,1,8,16,15,2,8,33,7,5,8,28,10,1,8,3,18,3,8,1,10,11,8,3,10,93,8,1,14,1,3,2,14,1,18,1,10,4,8,13,10,3,8,2,10,12,8,3,10,21,8,1,10,23,8,1,10,61,8,4,10,69,},
{4,2144,18,1,7,3,8,10,10,2,8,3,10,3,8,2,18,3,8,7,18,3,8,6,7,6,8,3,7,3,14,2,18,6,4,1,19,2,4,91,18,1,3,2,18,3,3,3,18,2,3,4,18,1,8,1,10,1,8,1,18,1,3,3,18,3,8,1,18,2,3,2,18,11,8,1,18,2,3,6,14,2,3,3,18,1,8,2,18,3,8,1,10,17,8,1,10,11,8,4,10,10,8,5,10,26,8,4,10,8,8,3,10,5,8,1,10,4,8,2,10,5,8,2,10,6,8,1,10,14,8,11,15,1,14,2,3,3,14,1,15,1,8,3,10,3,8,2,10,4,8,2,10,6,8,21,10,3,8,20,10,3,8,14,7,1,8,34,7,7,8,34,10,9,8,6,10,93,8,1,18,1,14,1,3,1,14,1,18,1,8,1,10,3,8,11,10,19,8,2,10,7,8,1,10,98,8,2,18,1,8,2,10,70,},
{4,2144,18,1,7,4,8,9,10,2,8,4,10,2,8,1,18,15,8,5,18,1,7,4,8,5,7,4,8,3,7,1,8,2,10,1,4,95,18,3,3,4,18,2,3,4,18,1,10,3,18,1,3,3,18,1,8,1,18,4,3,2,18,14,3,6,14,2,3,3,14,1,8,6,10,4,8,1,10,12,8,1,10,12,8,2,10,11,8,4,10,26,8,7,10,17,8,5,10,3,8,3,10,4,8,3,10,14,8,11,15,1,14,2,16,1,3,1,14,2,8,1,10,2,8,2,10,3,8,2,10,3,8,2,10,5,8,45,10,2,8,49,7,8,8,19,10,1,8,11,10,13,8,4,10,66,8,1,10,27,8,2,18,4,8,1,10,3,8,10,10,10,8,6,10,13,8,3,10,96,8,4,10,71,},
{4,2144,18,1,17,1,6,1,7,2,8,8,10,3,8,5,10,2,8,1,18,3,8,2,18,9,8,3,18,3,7,4,8,5,7,3,8,7,18,1,4,96,18,1,3,3,18,5,3,3,18,1,8,1,10,1,8,1,18,2,3,1,18,7,3,2,18,12,14,1,3,4,14,1,18,4,14,2,18,2,8,3,18,2,8,1,10,3,8,1,10,39,8,2,10,33,8,2,10,18,8,4,10,2,8,4,10,4,8,6,10,16,8,6,15,1,14,2,3,2,14,2,8,2,10,1,8,2,10,3,8,1,10,4,8,2,10,5,8,14,10,1,8,80,7,8,8,11,7,3,8,5,10,3,8,10,10,15,8,1,10,96,8,2,10,7,8,10,10,10,8,5,10,14,8,3,10,92,8,2,10,77,},
{4,2144,18,1,14,3,7,2,8,7,10,3,8,5,10,2,8,2,18,1,8,3,18,8,8,4,18,1,7,1,18,1,8,9,7,3,8,2,18,6,4,97,18,4,10,2,18,2,3,4,18,13,3,2,18,12,3,4,14,1,18,3,8,2,18,2,8,5,18,1,14,1,18,1,8,3,10,21,8,3,10,44,8,3,10,4,8,3,10,17,8,5,10,1,8,4,10,4,8,6,10,16,8,6,15,1,14,2,3,2,14,1,15,1,8,1,10,1,8,1,18,2,8,1,10,3,8,1,10,3,8,2,10,4,8,15,10,1,8,41,7,5,8,21,7,4,8,8,7,8,8,11,7,4,8,5,10,2,8,11,10,121,8,9,10,11,8,5,10,6,8,2,10,7,8,1,10,21,8,1,10,17,8,2,10,52,8,3,10,76,},
{4,2145,18,3,3,1,18,6,8,2,10,4,8,5,10,2,18,12,8,5,18,1,7,2,8,5,18,15,4,100,10,1,18,5,3,3,18,14,3,1,18,6,8,4,18,10,8,8,18,2,3,1,14,1,18,1,8,2,10,4,8,3,10,32,8,2,10,25,8,6,10,3,8,4,10,2,8,1,10,5,8,2,10,6,8,4,10,3,8,2,10,4,8,4,10,9,8,3,10,7,8,3,15,1,8,1,15,2,14,2,3,2,14,1,15,1,8,1,10,1,8,1,18,2,8,2,10,2,8,2,10,1,8,3,10,3,8,57,7,6,8,21,7,3,8,9,7,3,14,2,7,3,8,11,7,3,8,4,10,2,8,13,10,22,8,1,10,92,8,1,10,4,8,5,10,18,8,4,10,4,8,3,10,47,8,3,10,52,8,1,10,77,},
{4,2146,18,11,10,4,8,5,10,2,8,1,18,8,8,8,7,3,8,5,18,2,14,1,18,4,3,1,18,6,4,101,18,3,3,1,18,2,3,6,14,1,18,5,14,1,3,1,18,9,8,2,10,3,8,1,18,5,3,4,18,1,10,3,8,4,18,2,14,2,18,1,8,1,10,5,8,3,10,9,8,2,10,6,8,2,10,11,8,4,10,25,8,7,10,1,8,8,10,5,8,3,10,4,8,4,10,10,8,4,10,5,8,1,10,3,8,3,10,6,8,6,15,2,14,2,3,1,14,2,8,1,10,2,8,1,15,1,14,1,8,2,10,2,8,6,10,3,8,57,7,7,8,31,7,3,14,4,7,2,8,10,18,1,7,1,18,1,8,3,10,4,8,13,10,22,8,1,10,96,8,5,10,19,8,4,10,3,8,5,10,46,8,3,10,130,},
{4,2151,18,6,4,4,18,2,10,1,18,1,10,1,8,1,10,2,8,1,18,6,8,9,7,2,8,7,18,1,14,1,18,4,3,1,18,4,4,103,18,2,3,2,18,3,3,6,14,1,18,4,3,2,18,10,8,1,10,2,8,2,18,1,8,1,18,3,3,1,16,3,3,1,8,1,10,2,8,5,18,3,8,1,10,6,8,2,10,9,8,4,10,4,8,4,10,10,8,3,10,25,8,17,10,4,8,1,18,2,8,2,10,3,8,3,10,10,8,5,10,17,8,7,15,1,14,3,3,1,14,2,8,1,10,2,8,1,15,1,14,1,8,2,10,2,8,5,10,3,8,57,7,12,8,28,7,2,14,4,7,2,8,10,18,1,7,1,18,1,8,3,10,3,8,14,10,119,8,4,10,5,8,3,10,4,8,1,10,5,8,6,10,2,8,6,10,46,8,1,10,5,8,3,10,50,8,1,10,73,},
{4,2165,18,1,8,1,10,2,8,1,18,4,8,11,18,3,8,5,18,9,4,106,18,1,3,4,18,2,3,7,18,4,3,2,18,10,8,4,18,2,8,3,3,2,16,3,3,1,8,2,10,1,8,2,10,2,8,2,18,2,8,1,10,2,8,1,10,14,8,4,10,4,8,3,10,6,8,1,10,3,8,3,10,26,8,14,10,7,8,1,18,1,14,1,18,1,8,2,10,1,8,3,10,11,8,4,10,17,8,2,15,1,8,4,15,1,14,7,8,2,10,1,8,1,18,2,8,2,10,1,8,4,10,4,8,58,7,5,8,2,7,8,8,22,7,2,8,1,7,2,14,4,7,2,8,11,18,1,8,4,10,3,8,5,10,1,8,9,10,118,8,2,10,6,8,4,10,3,8,4,10,3,8,14,10,12,8,1,10,39,8,3,10,124,},
{4,2152,19,4,4,10,10,3,18,4,8,2,10,1,8,9,18,4,8,2,18,5,4,112,18,2,3,7,16,1,3,4,18,4,3,1,14,1,18,16,8,3,18,1,3,1,16,3,3,1,18,1,8,1,10,7,8,3,10,18,8,10,10,5,8,5,10,1,8,1,10,4,8,1,10,22,8,13,10,8,8,1,18,2,8,7,10,11,8,4,10,5,8,2,10,9,8,2,15,3,8,2,15,1,14,7,15,1,8,2,10,1,8,2,18,1,8,2,10,1,8,4,10,4,8,58,7,5,8,3,7,10,8,17,7,4,8,2,7,2,14,3,7,1,8,19,10,2,8,4,10,1,8,9,10,117,8,2,10,6,8,6,10,2,8,4,10,2,8,14,10,12,8,3,10,165,},
{4,2152,19,7,4,8,10,2,18,4,8,1,10,2,8,8,18,2,14,1,18,9,4,3,19,1,4,2,19,1,4,105,18,5,3,4,16,1,3,3,18,4,14,1,3,1,14,1,18,16,8,1,10,2,18,1,3,1,16,3,3,1,8,2,10,7,8,3,10,18,8,1,10,2,8,2,18,2,8,2,10,6,8,3,10,7,8,2,10,21,8,13,10,6,8,1,10,2,8,4,10,2,8,3,10,12,8,3,10,5,8,2,10,8,8,3,15,2,14,1,15,3,14,8,15,1,8,2,10,1,8,4,10,1,8,5,10,3,8,59,7,4,8,6,7,15,8,7,7,6,8,3,7,6,8,20,10,6,8,9,10,116,8,2,10,6,8,13,10,2,8,13,10,14,8,3,10,83,8,3,10,78,},
{4,2139,19,5,4,8,19,8,4,10,18,3,8,1,10,2,8,9,18,1,14,2,18,6,4,4,19,6,4,100,19,3,4,6,18,1,3,7,18,4,14,4,18,15,8,1,10,2,8,1,18,1,3,1,16,2,3,1,8,1,10,8,8,4,10,20,8,1,18,2,8,2,10,39,8,14,10,11,8,1,10,3,8,3,10,11,8,4,10,3,8,4,10,6,8,3,15,2,14,2,15,3,14,7,15,2,8,8,10,1,8,5,10,3,8,71,7,6,8,12,7,6,8,6,7,4,8,20,10,7,8,10,10,115,8,1,10,6,8,11,10,6,8,10,10,59,8,1,10,43,8,3,10,77,},
{4,2138,19,6,4,9,19,7,4,11,18,3,8,11,18,1,14,1,18,6,4,5,19,6,4,100,19,7,4,2,18,2,3,5,18,7,14,3,18,15,8,1,10,2,8,1,18,1,3,2,18,1,10,8,8,1,18,3,8,1,10,17,8,1,10,2,8,4,10,5,8,2,10,33,8,14,10,15,8,3,10,11,8,3,10,3,8,5,10,5,8,1,15,1,14,5,15,3,14,6,15,3,8,4,10,2,8,9,10,3,8,24,7,1,8,63,7,7,8,4,7,1,8,21,10,2,8,2,10,6,8,11,10,115,8,1,10,6,8,4,10,3,8,3,10,7,8,6,10,61,8,3,10,36,8,2,10,6,8,1,10,78,},
{4,2138,19,6,4,10,19,6,4,5,19,4,4,2,18,9,8,4,18,9,4,2,19,8,4,101,19,8,4,2,18,2,3,4,18,4,3,2,18,2,14,2,18,15,8,5,18,2,8,1,10,7,8,1,18,4,8,1,10,16,8,2,10,2,8,3,10,5,8,3,10,34,8,13,10,15,8,3,10,11,8,1,10,3,8,7,10,4,8,2,14,6,15,3,14,6,15,4,8,3,10,4,8,7,10,2,8,25,7,2,8,62,7,6,8,5,15,1,8,19,10,7,8,12,10,126,8,2,10,6,8,2,10,8,8,4,10,18,8,1,10,43,8,3,10,35,8,3,10,85,},
{4,2138,19,6,4,11,19,5,4,4,19,5,4,3,18,3,3,1,18,5,8,1,10,1,18,9,4,2,19,6,4,104,19,8,4,3,18,3,3,2,18,3,3,2,18,4,14,1,18,5,8,1,18,11,8,7,10,6,8,1,18,2,14,1,18,1,8,1,10,2,8,2,10,12,8,5,10,6,8,4,10,8,8,3,10,13,8,1,10,9,8,13,10,14,8,4,10,10,8,2,10,3,8,12,15,1,14,2,17,2,14,2,15,1,8,1,15,2,14,2,15,2,8,1,15,2,14,2,18,1,8,1,10,5,8,4,10,2,8,91,7,6,8,5,7,2,18,1,8,19,10,9,8,7,10,136,8,2,10,8,8,3,10,18,8,3,10,80,8,3,10,85,},
{4,2138,19,6,4,20,19,6,4,3,18,2,3,1,14,2,18,3,10,2,18,8,4,2,19,5,4,106,19,9,4,2,18,1,4,1,18,1,3,2,18,2,3,3,18,1,8,2,18,7,8,1,18,14,8,1,18,3,8,1,10,5,8,1,18,4,8,4,10,13,8,1,18,1,8,3,10,5,8,5,10,7,8,4,10,22,8,14,10,8,8,1,10,4,8,4,10,6,8,1,10,2,8,3,10,5,8,2,10,3,8,3,15,3,14,3,3,1,14,3,8,3,15,3,8,4,14,3,15,1,8,1,10,5,8,3,10,3,8,78,7,9,8,1,7,6,8,4,15,3,14,2,7,1,15,1,8,4,10,3,8,18,10,4,8,6,10,123,8,1,10,12,8,2,10,29,8,3,10,2,8,4,10,162,},
{4,2138,19,6,4,20,19,6,4,4,18,1,3,2,18,2,4,14,19,5,4,106,19,9,4,6,18,5,3,1,18,4,14,1,18,4,8,2,18,15,3,3,18,1,8,2,10,3,8,1,18,1,3,2,18,2,8,1,10,1,8,2,10,12,8,4,10,5,8,4,10,5,8,7,10,22,8,16,10,7,8,1,10,4,8,2,10,4,8,9,10,5,8,8,15,1,14,9,15,3,14,1,15,1,8,5,15,1,14,3,8,1,10,6,8,3,10,3,8,65,7,4,8,6,7,8,14,3,7,8,15,1,8,4,15,2,7,2,8,6,10,2,8,19,10,5,8,5,10,136,8,2,10,29,8,9,10,162,},
{4,2138,19,6,4,20,19,6,4,4,18,1,3,2,18,1,4,11,19,9,4,110,19,5,4,3,19,3,4,2,18,7,3,2,18,4,8,3,18,12,3,6,18,2,10,3,18,1,3,2,16,1,3,1,18,1,10,2,8,4,10,11,8,1,10,7,8,3,10,5,8,6,10,23,8,17,10,7,8,1,10,9,8,9,10,4,8,5,15,2,8,3,15,1,14,4,3,2,14,2,8,2,14,4,8,3,15,1,14,4,8,1,10,5,8,5,10,2,8,64,7,7,8,4,7,3,14,1,7,6,14,4,15,8,8,19,10,3,8,3,10,2,8,7,10,7,8,4,10,127,8,1,10,8,8,2,10,29,8,7,10,22,8,2,10,139,},
{4,2138,19,6,4,22,19,4,4,4,18,3,4,10,19,10,4,115,19,1,4,3,19,4,4,4,18,2,3,4,18,4,8,2,18,13,3,6,18,2,8,1,10,1,8,1,18,1,3,1,16,2,3,2,8,1,10,2,8,1,18,2,8,1,10,18,8,3,10,6,8,2,18,1,8,1,10,23,8,16,10,19,8,1,18,1,8,7,10,3,8,1,15,3,8,1,15,1,14,2,15,3,14,8,15,1,8,2,14,2,16,1,14,1,8,1,10,1,8,1,15,1,14,3,8,1,10,5,8,5,10,2,8,4,18,1,8,39,10,1,8,13,7,15,8,2,7,3,14,3,7,2,8,2,7,2,14,2,15,5,14,2,15,1,8,7,10,4,8,7,10,5,8,2,10,5,8,5,10,8,8,4,10,125,8,3,10,7,8,6,10,24,8,6,10,24,8,2,10,139,},
{4,2184,19,10,4,122,19,5,4,3,18,2,3,4,18,6,14,3,18,3,8,5,18,2,3,5,14,1,18,2,8,2,18,2,3,1,16,3,3,1,18,1,10,3,8,3,10,9,8,2,10,6,8,3,10,7,8,1,18,2,8,1,10,24,8,14,10,19,8,1,18,2,8,1,10,3,8,6,14,4,15,2,14,6,16,1,17,1,14,4,15,2,8,1,15,1,14,4,8,3,15,1,14,2,8,1,10,4,8,5,10,4,8,2,18,3,8,52,7,15,8,3,7,3,14,4,7,6,8,3,15,2,14,3,15,1,8,2,10,21,8,2,10,5,8,5,10,7,8,5,10,125,8,4,10,5,8,7,10,16,8,3,10,3,8,6,10,167,},
{4,2184,19,10,4,122,19,6,4,1,18,3,3,3,18,1,3,1,18,1,8,2,18,1,3,1,14,4,18,3,8,4,18,2,14,1,3,5,18,2,8,2,18,2,3,1,16,3,3,1,18,1,10,4,8,1,10,10,8,2,10,6,8,3,10,7,8,4,10,24,8,15,10,17,8,2,18,2,8,1,10,2,8,3,10,1,8,2,15,1,14,1,3,1,14,9,3,2,14,2,8,6,15,1,14,3,15,1,8,4,14,1,15,1,10,4,8,6,10,4,8,2,18,3,8,52,7,15,8,3,7,2,14,6,7,4,8,4,15,1,14,3,15,1,8,2,10,23,8,1,10,5,8,5,10,7,8,5,10,40,8,1,10,93,8,2,10,7,8,1,10,11,8,13,10,168,},
{4,2184,19,10,4,124,19,4,4,1,3,1,18,1,3,4,18,1,3,1,18,1,8,2,3,2,18,3,14,4,18,8,3,5,18,1,10,2,8,1,18,1,3,1,16,3,3,1,8,2,10,3,8,2,10,9,8,2,10,16,8,4,10,24,8,15,10,16,8,2,18,3,15,1,8,5,10,2,8,1,15,1,14,1,3,1,14,12,15,1,8,2,10,1,8,3,15,2,14,1,15,1,8,5,15,1,8,1,10,4,8,3,10,1,8,3,10,3,8,40,10,2,8,16,7,14,8,2,7,6,14,3,7,2,15,1,8,3,15,1,14,4,18,1,8,2,10,32,8,3,10,7,8,5,10,142,8,3,10,10,8,13,10,24,8,1,10,143,},
{4,2185,19,1,4,2,19,1,4,3,19,1,4,125,19,5,3,6,18,1,3,1,18,1,8,1,18,1,3,2,18,1,8,1,18,1,14,1,3,3,14,3,18,5,3,5,8,1,10,2,8,2,3,1,16,3,3,1,18,1,8,1,10,2,8,3,10,9,8,3,10,14,8,5,10,3,18,1,8,1,10,19,8,15,10,15,8,2,18,1,14,1,18,2,15,3,8,3,10,2,8,1,15,1,14,8,8,3,15,3,8,2,10,2,8,4,15,2,8,4,10,1,8,3,10,3,8,3,10,3,8,45,10,3,8,16,7,12,8,3,7,11,15,1,8,2,7,1,14,4,8,3,10,5,8,2,10,9,8,7,10,11,8,5,10,6,8,2,10,143,8,3,10,9,8,8,10,3,8,3,10,23,8,2,10,143,},
{4,2318,19,4,18,1,3,8,18,3,3,2,18,2,14,2,3,1,14,1,18,9,3,4,18,1,10,4,8,1,3,1,16,4,18,1,10,3,8,3,10,9,8,3,10,9,8,1,10,3,8,3,10,1,8,1,10,4,18,1,10,1,8,1,10,18,8,15,10,15,8,1,18,1,14,2,18,1,8,10,14,3,15,2,14,3,15,1,8,8,10,2,8,4,15,2,8,3,10,3,8,2,10,2,8,2,10,5,8,46,10,5,8,14,7,10,8,4,7,4,8,2,7,6,8,2,14,3,15,1,8,3,10,3,8,6,10,6,8,8,10,9,8,8,10,6,8,2,10,155,8,7,10,30,8,1,10,144,},
{4,2318,19,4,18,1,3,7,18,8,14,3,18,2,8,2,18,4,14,1,3,5,18,1,8,1,10,1,8,3,3,2,16,3,3,1,8,1,10,2,8,2,10,11,8,2,10,9,8,1,10,3,8,3,10,8,8,1,10,18,8,15,10,15,8,1,18,1,14,2,18,1,8,10,15,1,8,4,14,3,8,1,10,2,8,2,15,3,8,7,15,2,8,2,10,6,8,4,10,5,8,47,10,5,8,3,7,3,8,8,7,1,8,4,7,3,8,5,7,4,8,3,7,5,8,8,10,3,8,7,10,5,8,8,10,10,8,8,10,49,8,2,10,111,8,8,10,175,},
{4,2318,19,4,18,1,3,7,18,6,8,1,18,1,14,2,18,22,3,1,16,3,3,1,18,1,8,1,10,2,8,1,10,8,8,1,10,13,8,1,10,5,8,2,10,7,8,2,10,17,8,14,10,6,8,2,10,8,8,2,7,1,18,1,8,6,10,4,8,5,15,1,14,2,18,1,8,1,10,1,8,1,18,1,14,4,15,1,8,5,18,1,15,1,18,1,8,1,10,7,8,3,10,4,8,50,10,3,8,4,7,3,8,13,7,4,8,4,7,4,8,3,7,5,15,1,8,7,10,2,8,8,10,5,8,7,10,11,8,8,10,49,8,3,10,82,8,2,10,25,8,11,10,173,},
{4,2318,19,3,4,1,3,8,18,1,8,1,18,2,8,2,18,2,14,2,18,1,8,5,18,9,3,4,18,2,10,1,18,1,3,1,16,3,3,1,18,1,10,11,8,2,10,18,8,2,10,6,8,3,10,17,8,10,10,2,8,1,10,7,8,2,10,9,8,9,10,3,8,3,10,3,8,1,14,2,8,1,10,2,8,1,14,2,3,1,14,2,18,1,8,1,10,1,8,3,18,2,8,2,10,7,8,2,10,4,8,4,10,1,8,5,7,2,8,46,7,3,8,22,7,3,8,2,7,5,8,4,10,1,8,4,10,2,8,7,10,7,8,6,10,11,8,7,10,50,8,3,10,81,8,3,10,25,8,12,10,162,8,1,10,9,},
{4,2317,19,3,4,2,3,8,18,1,8,5,14,3,18,1,8,2,10,4,8,3,18,6,3,4,18,1,8,1,10,2,18,1,16,3,3,1,18,1,10,31,8,2,10,26,8,9,10,11,8,2,10,10,8,11,15,2,8,2,10,3,8,6,14,4,15,1,8,1,10,3,8,6,10,3,8,2,10,8,8,88,7,2,15,1,7,1,8,11,10,5,8,7,10,20,8,6,10,50,8,4,10,82,8,2,10,25,8,4,10,3,8,5,10,161,8,2,10,9,},
{4,2316,19,4,4,2,3,7,18,1,8,1,10,1,8,4,18,1,14,2,18,1,8,2,10,5,8,3,18,5,3,4,18,1,8,1,10,2,18,1,16,4,18,1,10,3,8,2,10,25,8,3,10,27,8,7,10,12,8,1,10,12,8,3,15,2,8,4,15,1,14,2,15,1,8,1,10,5,8,4,15,1,14,3,8,1,10,4,8,6,10,2,8,3,10,6,8,3,10,1,8,31,10,3,8,3,10,1,8,63,10,8,8,5,10,8,8,5,10,6,8,5,10,50,8,4,10,95,8,2,10,13,8,2,10,7,8,2,10,162,8,2,10,9,},
{4,2316,19,4,4,1,18,1,3,7,8,1,10,2,8,16,10,3,8,1,18,5,3,1,18,2,8,1,10,2,3,1,16,4,18,1,10,2,8,3,10,24,8,4,10,27,8,6,10,25,8,3,7,1,14,4,15,1,8,1,15,3,8,13,18,1,8,1,10,7,8,4,10,1,8,4,10,6,8,2,10,3,8,30,10,4,8,1,10,3,8,61,10,8,8,6,10,6,8,7,10,8,8,2,10,50,8,4,10,96,8,2,10,197,},
{4,2316,19,4,4,1,3,3,18,1,3,1,16,2,3,1,18,1,8,1,10,1,8,11,18,4,8,2,10,2,8,1,18,11,3,1,16,3,3,1,18,1,10,1,8,1,18,2,8,1,10,7,8,3,10,12,8,4,10,4,8,2,10,9,8,1,10,13,8,6,10,21,8,5,7,2,14,1,17,1,16,1,17,1,14,2,15,3,8,4,15,3,8,7,18,1,8,2,10,10,8,2,18,1,8,2,10,6,8,1,18,1,8,1,10,2,8,30,10,3,8,2,10,4,8,59,10,9,8,6,10,5,8,8,10,60,8,4,10,96,8,2,10,197,},
{4,2316,19,4,18,1,3,2,18,2,3,1,16,3,3,1,8,13,18,4,8,4,18,1,3,2,18,4,3,7,16,1,3,2,18,1,10,2,8,3,10,7,8,3,10,10,8,2,10,7,8,2,18,1,8,1,10,2,8,2,10,3,8,2,10,13,8,5,10,4,8,2,10,9,8,1,10,6,8,2,7,4,14,1,17,2,16,1,17,1,14,4,15,1,8,3,15,1,14,3,15,1,8,1,10,2,8,3,14,2,8,8,10,3,8,1,18,2,8,1,10,7,8,10,7,3,8,23,10,2,8,2,10,4,8,5,18,1,15,1,8,9,7,1,8,35,18,2,8,2,10,11,8,4,10,7,8,9,10,1,8,2,10,58,8,3,10,80,8,1,10,15,8,6,10,193,},
{4,2316,19,4,3,6,16,3,3,1,18,1,8,14,18,3,8,1,18,3,3,1,18,4,3,6,16,3,3,2,18,1,10,1,8,2,18,1,8,1,10,6,8,3,10,9,8,3,10,8,8,1,18,2,8,1,10,3,8,1,10,18,8,5,10,4,8,2,10,16,8,1,14,15,15,3,14,4,18,1,8,1,10,3,8,1,14,3,8,2,18,2,8,4,10,3,8,1,18,2,10,8,8,11,7,3,8,23,10,1,8,2,10,3,8,6,15,1,8,10,7,1,8,22,7,1,8,11,18,1,14,1,18,1,8,1,10,8,8,7,10,7,8,10,10,60,8,4,10,80,8,1,10,18,8,3,10,193,},
{4,2319,3,7,16,3,3,1,18,1,8,5,18,2,8,2,10,3,8,2,18,11,3,7,16,4,3,1,18,1,10,2,8,2,10,3,8,1,10,3,8,2,10,4,8,3,10,3,8,2,10,8,8,1,18,2,8,1,10,22,8,6,10,3,8,3,10,15,8,2,18,1,15,3,14,3,8,5,14,2,3,2,14,6,18,1,8,1,10,3,18,1,14,2,18,1,8,2,14,2,8,2,10,3,8,5,10,4,8,2,10,1,8,40,10,2,8,4,7,1,8,29,7,3,8,10,10,3,8,4,7,1,14,1,18,1,8,1,10,10,8,2,10,1,8,1,10,9,8,9,10,48,8,1,10,10,8,6,10,99,8,2,10,11,8,3,10,179,},
{4,2318,18,1,3,2,16,5,3,3,14,1,18,2,8,2,18,2,8,4,10,3,8,2,18,11,3,4,18,1,3,1,16,6,3,1,10,10,8,3,10,4,8,2,10,4,8,2,10,8,8,3,10,22,8,7,10,3,8,3,10,14,8,2,15,1,14,1,18,1,8,5,10,2,8,2,18,1,14,2,3,3,14,1,18,5,8,1,10,3,18,1,3,1,18,2,10,1,8,1,18,1,14,1,8,1,10,3,8,5,10,5,8,42,10,2,8,3,7,4,8,14,7,6,8,8,7,4,8,8,10,4,8,4,18,2,8,2,10,24,8,6,10,50,8,1,10,8,8,7,10,84,8,2,10,14,8,3,10,10,8,3,10,122,8,1,10,4,8,2,10,17,8,2,10,31,},
{4,2319,18,1,3,2,16,4,3,2,14,1,18,6,8,2,10,6,8,1,18,12,3,4,18,1,3,2,16,5,3,1,8,1,10,10,8,2,10,3,8,3,10,4,8,6,10,2,8,4,10,23,8,7,10,3,8,2,10,11,8,5,15,1,14,2,15,1,8,5,10,2,8,1,15,1,14,5,18,6,8,1,10,4,18,1,3,1,18,2,10,2,8,4,10,3,8,4,10,4,8,43,10,2,8,4,7,3,8,11,7,9,8,8,7,2,8,22,10,195,8,5,10,9,8,2,10,180,},
{4,2320,3,3,16,2,3,2,18,1,8,1,18,2,14,1,3,1,18,2,8,2,10,5,8,3,18,2,8,2,18,3,3,1,18,4,3,2,18,3,3,1,16,5,3,1,18,1,8,1,10,12,8,4,10,5,8,8,18,2,8,1,10,24,8,7,10,3,8,2,10,10,8,5,18,1,14,3,18,1,8,7,15,1,14,4,18,1,8,4,18,3,8,1,10,4,18,1,14,1,18,1,8,1,10,4,8,2,10,4,8,3,10,3,8,51,7,2,8,4,7,2,8,1,7,1,8,3,7,8,8,16,10,2,8,15,10,86,8,2,10,108,8,4,10,191,},
{4,2317,19,2,4,2,3,5,18,1,8,3,18,1,3,3,18,1,8,5,10,3,8,6,18,2,3,3,18,3,3,2,18,4,3,7,18,2,8,1,10,10,8,4,10,5,8,2,10,1,8,3,18,4,8,1,10,3,18,3,8,1,10,17,8,7,10,3,8,2,10,11,8,4,18,1,15,1,14,1,18,1,8,7,14,5,18,1,8,2,10,1,8,3,18,3,10,4,8,1,18,2,8,1,10,4,8,2,10,4,8,2,10,3,8,38,10,2,8,12,7,11,8,32,7,3,15,1,18,1,8,6,10,18,8,4,10,62,8,6,10,108,8,2,10,191,},
{4,2316,19,4,4,2,18,1,3,3,18,1,8,3,18,1,14,1,3,2,14,1,18,2,8,4,10,2,8,6,18,2,3,3,18,4,3,2,18,10,3,2,18,2,10,10,8,3,10,9,8,3,18,3,8,1,10,3,18,1,10,2,8,1,10,2,8,1,10,14,8,7,10,16,8,2,10,1,8,2,18,2,8,2,10,2,8,3,14,7,18,2,8,5,18,1,8,1,10,4,8,1,18,2,8,1,10,4,8,2,10,4,8,2,10,2,8,3,18,1,8,33,10,5,8,9,7,13,8,31,7,4,18,1,8,4,10,18,8,6,10,61,8,8,10,301,},
{4,2316,19,5,4,2,18,4,8,3,18,1,14,4,18,4,8,10,18,2,3,3,18,4,3,3,18,6,8,1,10,1,8,1,3,3,18,1,10,10,8,2,10,11,8,5,10,9,8,2,10,2,8,1,10,11,8,6,10,21,8,4,10,3,8,2,15,1,14,2,15,1,18,1,14,2,3,3,14,1,18,1,8,1,10,7,8,5,10,4,8,2,10,4,8,2,10,2,8,2,18,2,8,28,10,9,8,6,7,16,8,31,7,2,8,8,10,18,8,5,10,60,8,10,10,301,},
{4,2316,19,6,4,2,18,3,8,4,18,2,14,2,18,4,8,5,18,3,8,2,18,2,3,3,18,4,3,4,18,6,8,1,18,1,3,1,16,1,3,2,8,1,10,4,8,1,10,4,8,2,10,14,8,1,10,14,8,1,10,10,8,7,10,21,8,4,10,3,8,2,14,3,18,3,14,1,3,1,16,1,3,2,14,1,8,2,10,3,8,8,10,9,8,3,10,2,8,1,18,1,14,1,18,1,8,28,10,6,8,9,7,7,8,3,7,4,8,44,10,16,8,5,10,61,8,7,10,5,8,3,10,244,8,2,10,50,},
{4,2317,19,6,4,1,18,5,8,4,18,3,8,7,18,9,3,3,18,3,3,3,18,5,3,3,16,4,3,1,18,1,10,9,8,2,10,10,8,1,10,9,8,1,18,2,8,1,10,15,8,8,10,17,8,4,18,1,15,2,8,6,15,1,14,2,15,1,18,2,14,2,3,3,14,1,18,2,8,3,18,2,8,2,18,2,8,2,10,9,8,3,10,1,8,2,18,1,14,1,18,1,8,29,10,4,8,10,7,5,8,45,10,3,8,6,10,13,8,5,10,63,8,1,10,2,8,2,10,8,8,4,10,142,8,2,10,17,8,3,10,78,8,2,10,50,},
{4,2318,19,5,4,1,18,5,8,5,18,2,8,6,18,1,14,1,3,3,18,5,3,4,18,3,3,1,18,5,3,3,16,4,3,2,18,1,10,8,8,3,10,8,8,4,10,7,8,1,18,1,14,1,18,1,8,1,10,15,8,8,10,16,8,2,18,6,8,3,15,2,8,1,15,1,18,1,15,1,14,7,3,5,18,4,8,2,18,2,8,2,10,2,8,2,10,4,8,7,18,2,8,30,10,3,8,35,7,3,8,22,10,6,8,4,10,14,8,2,10,25,8,1,10,54,8,2,10,142,8,2,10,6,8,2,10,36,8,1,10,105,},
{4,2318,19,5,4,2,18,4,8,4,18,6,8,3,18,1,14,1,3,3,18,5,3,6,18,4,8,2,18,1,3,3,16,2,3,2,18,1,8,5,10,4,8,1,18,1,8,1,10,9,8,4,10,2,8,1,10,4,8,1,18,2,8,1,10,16,8,8,10,16,8,1,14,3,18,1,8,5,15,1,14,2,15,1,8,3,15,1,14,1,3,1,14,4,3,1,16,3,3,2,18,1,8,1,10,3,8,1,18,1,8,1,10,3,8,2,10,2,8,8,18,3,8,31,10,2,8,60,10,6,8,4,10,25,8,3,10,10,8,5,10,152,8,2,10,17,8,2,10,24,8,2,10,4,8,3,10,37,8,2,10,104,},
{4,2318,19,5,4,2,18,3,8,3,18,3,8,2,18,8,3,3,18,6,3,5,18,7,3,5,18,1,10,3,18,3,8,1,10,4,8,2,10,10,8,13,10,19,8,10,10,12,8,2,14,3,8,5,18,1,14,3,15,1,8,1,10,1,8,1,14,1,3,3,18,1,8,1,18,1,3,1,16,4,3,1,18,1,8,1,10,3,8,3,10,3,8,2,10,2,8,8,18,2,8,2,10,1,8,92,10,6,8,2,10,24,8,6,10,8,8,6,10,153,8,1,10,17,8,1,10,27,8,5,10,15,8,2,10,21,8,3,10,104,},
{4,2319,19,5,4,2,18,1,8,2,18,4,8,3,18,8,14,2,18,8,3,4,18,7,3,4,18,1,10,2,8,1,18,1,3,3,14,1,8,1,10,16,8,1,10,1,8,5,18,2,8,2,10,3,18,1,10,17,8,9,10,11,8,2,18,1,14,2,18,1,8,1,10,3,8,2,14,3,15,1,8,2,15,1,3,3,14,1,8,1,10,1,8,1,14,1,3,1,16,4,14,1,8,1,10,9,8,2,10,1,8,8,18,2,8,2,10,3,8,91,10,32,8,6,10,9,8,5,10,171,8,1,10,27,8,3,10,15,8,3,10,23,8,3,10,103,},
{4,2319,19,5,4,2,18,1,8,1,18,4,8,4,18,18,3,3,18,4,3,6,18,2,10,3,18,1,3,4,18,1,10,20,8,3,18,1,14,2,18,1,8,1,10,2,18,2,10,17,8,9,10,11,8,2,18,1,14,1,18,1,8,1,10,4,8,2,18,1,14,2,18,1,15,1,14,2,3,3,18,1,10,3,8,1,14,1,3,1,16,1,3,2,18,1,8,1,10,7,8,7,10,1,8,2,10,1,8,1,18,1,14,1,18,1,8,2,10,4,8,81,10,1,8,11,10,27,8,3,10,5,8,3,10,13,8,3,10,194,8,1,10,3,18,3,8,1,10,9,8,3,10,24,8,3,10,103,},
{4,2320,19,5,4,1,18,5,8,6,18,7,14,2,18,8,3,2,18,1,8,3,18,1,3,3,18,3,8,1,10,3,8,1,18,1,3,2,18,1,10,1,8,1,18,1,8,1,10,13,8,2,10,4,8,2,18,1,14,2,18,1,8,1,10,21,8,3,18,1,8,2,10,1,8,2,10,11,8,1,18,2,14,1,8,2,10,2,8,8,15,1,14,1,3,2,14,2,8,1,10,3,8,1,18,1,14,2,18,1,8,6,10,3,8,7,10,3,8,1,10,1,8,1,14,3,8,1,10,6,8,27,7,3,8,47,10,6,8,6,10,1,8,4,10,23,8,3,10,7,8,6,10,9,8,4,10,123,8,4,10,16,8,1,10,28,8,2,10,19,8,1,10,2,8,1,3,4,18,1,10,1,8,2,10,2,8,1,10,1,8,4,10,6,8,2,10,16,8,4,10,103,},
{4,2320,19,5,4,2,8,1,18,3,8,10,18,3,14,2,18,8,3,2,18,1,8,1,10,2,18,1,3,3,14,1,18,1,8,5,18,4,10,1,9,1,18,2,8,1,10,1,8,4,10,7,8,4,10,3,8,1,18,3,8,2,10,22,8,8,10,11,8,2,18,3,8,5,14,2,8,5,14,1,3,1,16,1,3,1,14,1,18,1,8,8,10,3,18,3,8,1,10,3,8,7,10,2,8,4,18,1,14,1,18,1,8,1,10,6,8,19,7,5,8,2,7,4,8,45,10,10,8,1,10,42,8,3,10,10,8,1,10,1,8,2,10,145,8,2,10,46,8,2,10,2,8,1,18,1,3,2,18,1,8,1,10,1,8,2,10,1,8,2,10,2,8,2,10,7,8,2,10,16,8,5,10,102,},
{4,2320,19,5,4,1,10,1,18,6,8,4,10,2,8,3,18,15,8,1,10,2,8,1,18,2,3,2,14,1,18,5,8,1,10,4,9,1,18,1,10,2,8,2,18,1,8,1,10,8,8,4,10,2,8,2,14,1,18,1,8,1,10,20,8,3,10,2,8,6,10,7,8,3,18,1,8,4,18,1,8,5,14,3,18,1,8,4,14,1,16,3,3,1,18,1,8,1,18,5,8,1,10,3,8,1,18,2,8,1,10,4,8,7,10,2,8,7,10,6,8,20,7,5,8,48,10,23,8,3,10,41,8,4,10,131,8,2,10,14,8,2,10,46,8,3,10,12,8,1,10,27,8,3,10,2,8,1,10,103,},
{4,2320,19,4,4,2,18,5,14,1,18,2,8,3,10,3,8,2,18,2,14,1,18,4,8,2,18,7,8,2,18,4,3,1,14,1,18,2,14,1,18,2,8,1,10,1,8,1,10,5,8,1,18,2,8,2,10,7,8,9,18,1,8,1,10,2,18,2,10,13,8,1,10,2,8,4,10,2,8,6,10,5,8,3,18,1,14,3,18,1,8,8,15,1,14,2,18,1,8,3,15,1,14,1,3,3,14,2,18,1,14,2,18,1,8,2,10,3,8,1,18,3,8,1,10,4,8,14,10,8,8,20,7,3,8,49,10,24,8,3,10,40,8,4,10,115,8,2,10,3,8,2,10,26,8,2,10,45,8,4,10,1,8,7,10,8,8,1,10,22,8,2,10,1,8,1,10,2,8,1,10,103,},
{4,2319,19,5,4,2,18,2,3,3,14,1,18,1,8,8,18,2,3,2,14,1,18,2,8,4,18,1,14,1,18,3,14,1,3,4,18,8,8,2,10,4,8,1,18,5,8,1,10,8,8,4,10,3,8,4,10,17,8,1,10,2,8,4,10,2,8,6,10,4,8,3,18,1,14,4,18,1,8,6,10,2,8,1,14,2,8,2,15,1,14,3,18,3,14,4,18,1,8,1,10,4,8,1,18,3,8,1,10,4,8,15,10,8,8,72,10,65,8,7,10,115,8,1,10,3,8,2,10,4,8,2,10,19,8,1,10,30,8,1,10,6,8,1,10,9,8,2,10,5,8,5,10,31,8,4,10,106,},
{4,2318,19,6,4,1,3,6,14,1,18,1,8,7,18,2,14,4,18,2,8,4,18,1,14,1,18,3,3,4,14,1,18,1,8,6,10,2,8,1,10,3,8,1,18,1,14,1,18,3,8,1,10,9,8,3,10,4,8,4,10,19,8,13,10,4,8,3,18,1,14,2,15,1,18,1,8,10,14,2,8,1,18,1,14,3,15,1,8,1,10,1,8,1,18,1,14,3,8,2,10,3,8,1,18,1,14,1,18,1,8,1,10,5,8,15,10,4,8,7,10,3,8,65,10,64,8,7,10,121,8,2,10,4,8,2,10,2,8,2,10,32,8,2,10,12,8,2,10,4,8,3,10,7,8,2,10,8,8,3,10,34,8,2,10,105,},
{4,2318,19,5,4,1,18,1,3,3,16,2,3,1,18,2,8,7,18,8,8,4,18,1,14,2,18,2,14,1,3,2,14,1,18,1,8,2,10,2,8,2,10,3,8,2,10,2,8,1,18,1,14,1,18,1,8,3,10,9,8,3,10,3,8,5,18,1,8,1,10,18,8,10,10,7,8,2,18,1,15,2,8,10,18,1,14,8,8,2,10,2,8,1,14,2,18,1,8,2,10,3,18,1,14,2,18,1,8,1,10,5,8,5,10,3,8,18,10,3,8,59,18,1,8,5,10,53,8,3,10,8,8,6,10,128,8,2,10,2,8,2,10,4,8,2,10,39,8,4,10,2,8,3,10,7,8,3,10,7,8,4,10,34,8,1,10,106,},
{4,2319,19,3,4,2,3,2,16,4,3,1,8,9,18,4,8,1,18,7,14,3,18,3,14,2,18,1,8,4,10,2,8,2,18,1,14,2,18,1,8,3,18,2,8,3,10,9,8,4,10,2,8,3,18,2,14,2,15,1,8,1,10,5,8,2,10,10,8,4,10,1,8,4,10,8,8,2,15,2,8,3,10,1,8,2,15,2,8,2,15,1,14,1,16,2,3,1,14,1,15,1,14,2,8,2,10,1,8,3,18,2,8,1,10,2,8,2,18,1,14,2,18,1,8,1,10,5,8,5,10,3,8,19,10,2,8,59,18,1,14,1,18,1,8,3,10,54,8,3,10,8,8,6,10,128,8,2,10,2,8,3,10,2,8,4,10,37,8,5,10,19,8,8,10,5,8,2,10,133,},
{4,2320,19,2,4,1,18,1,3,2,16,4,18,1,10,1,8,3,10,1,8,10,18,5,14,1,3,3,14,1,18,1,8,1,18,1,8,3,18,2,8,1,10,2,8,1,14,1,3,1,16,1,3,2,18,2,8,4,10,5,8,1,10,5,8,4,10,1,8,4,14,3,3,1,14,1,8,1,10,4,8,4,10,9,8,3,10,2,8,4,10,8,8,1,18,1,14,2,15,1,8,5,15,1,8,3,14,1,16,3,3,1,14,1,8,3,10,2,8,4,10,5,8,1,14,3,18,1,10,6,8,6,10,3,8,19,10,2,8,59,18,1,14,1,18,1,8,3,10,34,8,3,10,18,8,2,10,8,8,5,10,134,8,2,10,2,8,3,10,18,8,1,10,18,8,5,10,19,8,18,10,3,8,3,10,125,},
{4,2318,18,2,4,2,18,1,3,3,16,4,18,1,10,1,8,1,18,1,8,5,18,3,8,3,18,2,14,6,3,1,14,1,18,2,8,4,18,1,14,2,18,1,8,1,10,1,8,1,3,1,16,3,3,2,18,1,8,1,10,7,8,2,10,5,8,3,10,3,8,3,14,2,3,2,14,1,8,1,10,3,8,1,18,2,8,1,10,10,8,3,10,1,8,4,10,4,8,2,10,3,8,1,18,1,14,2,15,1,8,3,15,1,8,5,14,1,16,3,3,1,18,1,8,2,10,4,8,1,18,1,8,1,10,4,8,1,18,1,3,2,14,1,10,6,8,90,18,2,8,4,10,33,8,7,10,57,8,1,10,107,8,1,10,3,8,1,10,18,8,3,10,16,8,4,10,22,8,22,10,31,18,3,10,92,},
{4,2317,18,1,3,2,18,2,3,1,16,1,3,1,16,5,18,1,10,1,18,4,8,2,18,8,14,4,18,2,14,2,18,4,8,1,18,1,14,1,3,3,18,1,8,1,10,1,8,1,16,5,3,1,18,1,10,8,8,3,10,4,8,3,10,4,8,2,18,1,14,3,18,1,8,1,10,2,8,1,18,3,8,1,10,9,8,9,10,9,8,2,14,3,15,2,14,2,8,5,14,1,16,3,14,1,8,1,10,1,8,1,10,4,8,1,14,2,8,1,10,2,8,1,18,1,14,1,3,2,18,1,10,5,8,2,18,2,8,28,7,4,8,4,7,3,8,54,10,33,8,4,10,60,8,2,10,129,8,3,10,16,8,4,10,28,8,6,10,2,8,7,10,32,18,3,10,92,},
{4,2317,18,1,3,2,18,2,3,1,16,1,3,1,16,5,18,1,8,1,18,13,14,5,18,4,8,2,18,3,14,1,3,3,14,2,8,1,10,1,8,1,16,4,3,1,18,1,8,1,10,8,8,3,10,4,8,2,10,5,8,2,18,1,14,1,3,1,14,2,18,1,8,3,18,3,8,1,10,9,8,9,10,10,8,3,15,1,18,1,15,1,14,2,8,3,15,1,14,1,16,3,3,1,15,1,8,1,10,5,8,1,18,1,14,1,3,1,14,1,8,3,14,1,3,2,14,1,8,1,10,5,8,1,18,3,8,6,7,1,8,20,7,6,8,4,7,1,8,53,10,35,8,3,10,155,8,1,10,36,8,2,10,17,8,4,10,30,8,4,10,2,8,4,10,35,18,3,10,92,},
{4,2319,18,3,3,4,16,3,3,1,18,1,8,5,18,9,14,2,3,1,14,3,18,2,8,3,18,3,3,4,18,2,8,1,10,1,8,1,3,1,16,2,3,2,8,1,10,9,8,3,10,3,8,3,10,5,8,2,15,1,14,1,3,4,14,1,8,6,10,9,8,9,10,11,8,5,15,2,8,1,15,1,14,2,16,4,3,1,8,2,10,1,8,2,10,1,8,2,14,1,3,3,18,1,8,2,14,1,3,2,18,1,10,6,8,1,18,3,8,5,7,3,8,18,7,7,8,55,10,37,8,4,10,155,8,2,10,45,8,1,10,12,8,2,10,28,8,4,10,2,8,3,10,37,18,2,10,92,},
{4,2312,19,4,4,4,18,2,3,7,14,1,18,1,8,4,18,5,8,3,18,2,14,2,3,1,14,3,18,3,8,2,18,1,14,2,3,3,14,1,18,2,8,3,18,4,8,1,10,7,8,5,10,5,8,1,10,5,8,2,7,1,14,1,3,2,16,2,3,1,14,1,8,1,10,3,8,2,10,9,8,8,10,12,8,6,15,2,14,2,16,5,14,1,8,1,10,5,8,1,14,1,3,4,14,1,8,2,14,2,18,1,8,1,10,5,8,2,18,2,8,7,7,1,8,18,7,8,8,42,10,1,8,11,10,38,8,4,10,23,8,2,10,32,8,2,10,77,8,1,10,18,8,2,10,44,8,2,10,4,8,2,10,6,8,2,10,28,8,4,10,1,8,4,10,37,18,2,10,92,},
{4,2313,19,5,4,2,18,2,3,8,14,1,18,8,8,4,18,2,14,2,3,1,14,4,18,4,14,1,3,5,14,1,18,5,8,1,10,8,8,1,10,2,8,4,10,11,8,2,7,1,14,1,3,2,16,3,3,1,14,1,8,1,10,4,8,2,10,8,8,8,10,10,8,5,15,2,8,1,15,2,14,2,16,4,3,1,15,1,10,6,8,1,14,1,3,3,14,1,18,1,10,2,18,2,8,1,10,5,8,29,7,8,8,16,7,4,8,24,10,1,8,10,10,38,8,5,10,22,8,3,10,30,8,4,10,75,8,4,10,17,8,2,10,6,8,1,10,34,8,2,10,2,8,1,10,3,8,4,10,5,8,2,10,17,8,20,10,37,18,2,10,92,},
{4,2312,19,6,4,2,18,2,14,1,3,1,14,1,3,3,16,1,3,1,14,1,18,3,3,2,14,1,18,2,8,4,18,1,14,1,3,3,14,2,18,6,14,2,3,3,14,2,18,2,8,1,18,1,8,1,10,12,8,4,10,3,8,1,10,5,8,3,7,1,14,1,17,1,16,1,3,4,14,1,8,1,10,5,8,2,10,7,8,2,10,1,8,5,10,10,8,3,15,1,14,4,15,2,14,4,3,1,16,1,3,1,14,1,8,1,10,6,8,1,14,1,3,1,14,2,18,1,8,1,10,2,8,2,10,5,8,28,7,7,8,18,7,6,8,23,10,1,8,8,10,40,8,4,10,23,8,2,10,31,8,3,10,76,8,4,10,6,8,1,10,10,8,2,10,5,8,2,10,2,8,3,10,30,8,1,10,5,8,5,10,5,8,2,10,16,8,4,10,12,8,4,10,37,18,4,10,91,},
{4,2312,19,6,4,2,18,3,14,1,18,2,14,1,3,1,16,2,18,1,8,1,18,1,3,3,14,1,18,1,8,4,18,1,14,1,3,4,14,1,18,1,8,4,18,3,14,4,18,1,14,2,8,3,10,15,8,1,10,4,8,2,10,4,8,3,7,1,14,1,16,2,3,1,14,1,18,1,8,1,10,6,8,2,10,8,8,2,10,2,8,4,10,9,8,2,18,2,14,6,15,1,14,2,15,2,14,3,8,1,10,6,8,1,15,1,14,1,18,3,8,4,18,1,8,2,10,4,8,1,18,2,8,25,7,7,8,5,7,3,8,3,7,3,8,4,7,5,8,31,10,42,8,4,10,55,8,3,10,77,8,5,10,4,8,3,10,9,8,2,10,5,8,3,10,1,8,3,10,3,8,3,10,25,8,8,10,25,8,3,10,14,8,3,10,37,18,4,10,91,},
{4,2313,19,6,4,2,18,2,14,1,18,2,14,1,3,1,16,1,3,1,8,2,18,1,3,3,14,1,18,2,8,3,18,1,14,1,3,4,14,1,18,1,8,4,18,6,8,2,18,1,8,2,10,21,8,3,10,3,8,3,7,1,14,2,16,1,3,1,14,1,8,1,10,7,8,1,10,10,8,8,10,9,8,2,18,1,14,10,15,1,8,5,10,2,8,5,18,2,8,1,18,1,8,3,18,2,8,1,10,5,8,1,18,3,8,25,7,6,8,6,7,9,8,5,7,5,8,19,10,3,8,7,10,43,8,3,10,56,8,3,10,77,8,5,10,5,8,2,10,9,8,1,10,5,8,2,18,1,8,1,10,1,8,3,10,3,8,3,10,25,8,8,10,42,8,3,10,37,18,3,10,92,},
{4,2316,19,4,4,2,18,1,3,1,18,2,14,1,3,1,14,2,8,3,18,1,14,3,7,1,18,5,14,2,3,3,14,1,18,11,8,1,10,3,8,1,10,2,8,3,10,11,8,6,10,3,8,3,7,1,14,6,18,1,8,3,10,2,8,2,10,12,8,7,10,10,8,2,18,3,15,3,14,5,15,1,8,2,10,3,8,2,14,2,15,1,8,2,10,1,8,2,18,5,8,1,10,5,8,2,18,2,8,27,7,1,8,11,7,7,8,8,7,3,8,16,10,6,8,6,10,105,8,2,10,48,8,1,10,27,8,4,10,23,8,1,18,3,10,2,8,3,10,16,8,1,10,13,8,9,10,35,8,3,10,138,},
{4,2316,19,4,4,2,18,1,3,1,14,4,18,1,8,2,18,1,8,1,18,2,14,2,18,8,14,4,18,11,8,1,10,3,8,4,18,2,10,10,8,7,10,2,8,4,7,1,14,3,15,1,8,4,18,2,8,4,10,12,8,1,18,4,8,2,10,4,8,2,10,4,8,2,18,2,8,4,15,1,14,4,8,4,10,1,8,2,14,4,8,2,10,2,8,1,18,4,8,1,10,5,8,3,18,1,8,27,7,2,8,13,7,5,8,9,7,2,8,15,10,7,8,5,10,107,8,1,10,47,8,2,10,28,8,2,10,20,8,2,10,3,8,1,18,1,8,2,10,1,8,3,10,30,8,9,10,14,8,4,10,16,8,6,10,43,8,1,10,92,},
{4,2316,19,4,4,2,18,1,3,1,14,4,7,1,8,4,18,1,14,2,18,3,8,3,18,14,3,3,18,2,8,6,18,2,8,1,10,10,8,7,10,1,8,10,10,2,8,1,18,3,8,4,10,11,8,2,18,3,8,3,10,3,8,4,10,3,8,8,15,1,14,4,8,4,15,1,14,5,15,1,8,9,10,6,8,30,7,3,8,27,7,1,8,16,10,6,8,6,10,218,8,1,10,30,8,2,10,2,8,7,10,1,8,1,10,12,8,1,10,18,8,6,10,41,8,1,10,94,},
{4,2316,19,4,4,2,18,1,3,1,14,4,7,1,18,1,8,3,18,2,14,1,18,1,8,7,18,11,14,1,3,3,14,1,18,1,8,2,18,6,8,1,10,9,8,17,10,4,8,1,18,3,8,4,10,11,8,2,18,1,8,23,18,1,14,4,8,2,15,1,14,4,15,1,8,5,18,1,8,4,10,7,8,31,7,3,8,44,10,4,8,8,10,150,8,3,10,50,8,2,10,44,8,2,10,2,8,13,10,27,8,6,10,1,8,1,10,131,8,3,},
{4,2316,19,4,4,2,18,1,3,1,14,1,18,1,14,2,18,2,8,3,18,2,14,1,18,1,8,9,18,6,8,1,18,2,3,4,18,2,8,2,18,6,8,1,10,9,8,18,10,3,8,8,10,5,8,1,10,4,8,3,18,1,8,23,15,1,14,4,8,2,15,1,14,4,8,2,10,3,8,5,10,7,8,31,7,4,8,44,10,3,8,5,10,1,8,1,10,150,8,6,10,49,8,2,10,44,8,2,10,3,8,3,10,3,8,7,10,26,8,5,10,1,8,2,10,39,8,1,10,90,8,4,},
{4,2316,19,4,4,2,18,1,3,1,14,1,18,1,14,2,18,1,8,4,18,2,14,2,18,2,8,9,18,1,8,4,18,2,3,4,18,1,8,3,18,6,8,1,10,8,8,30,10,5,8,1,10,3,8,2,18,2,8,3,10,3,8,17,18,1,14,5,8,2,15,1,14,3,15,1,8,1,10,4,8,5,10,6,8,32,7,4,8,51,10,46,8,2,10,104,8,7,10,100,8,3,10,3,8,7,10,25,8,5,10,2,8,3,10,38,8,1,10,69,8,3,10,17,8,5,},
{4,2316,19,4,4,2,18,1,3,1,18,2,14,2,18,2,8,3,18,2,14,3,18,2,8,12,18,2,14,1,3,3,18,1,8,1,10,2,8,2,18,5,8,1,10,8,8,18,15,2,8,1,18,1,15,2,18,2,8,4,10,9,8,2,18,2,8,2,10,4,8,12,10,2,8,3,15,1,14,4,15,1,8,2,15,1,14,1,15,1,8,9,10,3,8,3,10,2,8,33,7,3,8,49,10,49,8,2,10,104,8,7,10,98,8,6,10,2,8,5,10,27,8,5,10,2,8,3,10,108,8,3,10,17,8,5,},
{4,2316,19,4,4,2,18,1,3,1,14,1,18,5,8,3,18,2,14,4,18,2,8,11,18,2,3,4,18,1,8,1,10,3,8,1,18,5,8,1,10,7,8,18,15,1,14,4,15,1,14,1,15,1,18,1,8,4,10,9,8,2,18,2,8,2,10,4,8,12,10,2,8,3,15,1,14,4,15,1,8,2,15,3,8,9,10,3,8,38,7,3,8,48,10,50,8,2,10,104,8,7,10,98,8,6,10,2,8,5,10,27,8,5,10,2,8,3,10,108,8,3,10,16,8,6,},
}
}