287 299
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111110111111000000000000000000000000000000000000000111111111111111111111111111111111111111111111000000000000000000000011111111111111111100000000000000000000000000000000000000000000000000000000
00000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111000000000111111111111111111111111111111111111111100000001111111111111111111111111111111111111111111111111111110000000000000000000000000000000111110000000000011111111111111111110000000000000000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000001111111111111100000000000000000000000000001111111100000000000000000000000000000000000000000000000011111111111111111111111111111111111000000000000000000111111111111111111110000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000001111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000000001111100000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000001111111111111111111111111110000000000000000001111111111111110000001111111110000000000000000000000000000000000000000000001111111111111111111111111111110000000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000111111111111111111111111111111110001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111110000111111111111111111100000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111000111111111111111111111111111111111111000000000001111111111111111111111111111111111111110000000000000000000000011111111111111110000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000001111110000000000000000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000000000000000000000001111111111111111111111111111111111100000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111000000000000011111111111100111111111111111100000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111110000100000000000001111111111111111111111111111111111111100000000000000000000000000000000000000000000111111111111000000000011111111111111111111111111111111111100
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000