100000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000010000000100000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000110000000000000000000000000000000010000000000000000000001000000000000000000000000000101000000000010000000000000000000010000000000000000000000000101000000000000000000000000000000000000000000010000000000001000000010000010000000000000000000000000000010000000001000000000000000000000000000000000000000001000000000000100000000010000000000000000000000000000000000000000000000000000100100000001000000000000000000000000000000000000000000000000000000000000000000000000000100000001010000000000000000000000000000000000000001000000000000000000000000010000100000000000000000000000100000010000000000000000100000000000000000000000010000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100100000000000000000000000000010000000001000000000000001001000000000000000001001000000000000000000001000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000101000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000100000000010001000010001000001000001000000000000001000000000000000000000000000000001000100000000000000000000000000010000000000000000000000000000000000000000000000001000000000001000000000000000000010000001000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000010000000000000000000000000000000001000000000000000000100000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000100000000000000000000100000000000000000010000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000010010000000000000000000000000000000010000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000010000100000000010000000000000000000000000000100000000100000000000000000000000000000010000000000000000100000001000000100000000000000010000000000000000000010000000000000000000000000000000100000000000000000000000010000000000000000000000000001000000000000000000000000100000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000001100000000000000000000010001000000000000000000000000000010000000000010000000000000000000000000000000000000000010000000000000000000000000001100000000000000010000000100000000000000000000000000000000010000000000000010000000000000000000000000000000000000000001010000000000000000000000000000000000000000000001000000000000000000000000001000010100000010000000000000000100000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000100000000100000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000010010010000000000000000000000000010000100000000000010000010000000001000000000000000000001000000000000000101000000000000100000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000100000000010100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010010000000100000000000000000000000000000000000000000000000000000100000000000000010000000000000000000001000000000000001000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000001000000001000000000000000000000000000010000000000000000000001001000000000000000000000000000000000010010000000000000001000000000000000000000000010000000011000000000000000000000100000000001000010000000001000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000001000000000000000000000100000000000000000000000001000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000011100000000010000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000100000000000100100001000010000000000000001000000000000000000000000000000010000010000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000010000000000001000000000000000000000000000010000000000000000000000011000000000001000001000000000100000000000000000000001000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000100000000000000000000000000001010000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000001000100000000010000000000000000000000001000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000010001000000010000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000001010000000100000000000000000000001000000000000000000000000000000000100000000000000000000000000010000000000000000000000001000000000000000000000010100000000000000000000000000000000000000000000010000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000010000000000000000000000000000000000000001110000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011100000000010000000100000000000110000000000000000000010000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000100010000000000000000000000000000000000000000000000001000000010000000000000000000001000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000100000000000000000000000000000000000001000000000000000000000000000000001000000000001000000000011000000000001000000000000000000000000000000000000000000000000000000000001000001010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001001000000000000000000000000010000000010000000000000010000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000001000000001000000000000000000010000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000001100000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000110000010000000000000000000000000000000000000000000000000000010001000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001001000000000000010000000001000000000000000000000000000000000000000000000010000000000001000000001000000000000000000000000000000100000010001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000010000010000000000000000000000000000000100000000000000000000000000000000001000000000000010000000000001000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000001000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000100000000000000001010000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000100000000000010000010000000000101000000000000000000000001000000000000010000000000000000000000000000000000000000000000001000000000000010000000000000010000000000000000000000000000000100000000000000000100000001000000000000010000000000000000000000100000001000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000010000010000000000000000000000100010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000001100000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000010000000001000000010000000000010000000000000000000000000000000100000000000000000000000001000000000000100000000000000000010000000000000000000000000001000000000010000000000010000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000010000000000000000000000101000001000000000001000000000000000000000000000000000000000001000100000000010000001000100010100001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000001100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000100000000010000100000000000000000000000000000000000000000100000001000100010000000000000000000000000000000000000000100000000000000000000000000000000000100000000000001000000000000000000000001001000000000000000100100000000000010000100000000000000000000000000000000010000100000000000000000000000000000000000000100000000000000000100001000000000000000000000001000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000110100000000010000001000000001000000000000000100000100100000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000100000000100100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000100000000000000000000000000000100000000000010000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000001000000001100000000000000000000000010000000000000000000000000000100000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000100000000001000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100101000000000000000000000000000010000000000000000000000110000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000010000000000000000000000000100010000000000000000000010000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000001000000000001000000000000000010100000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000001010000000000100000000000000000000000000000000001000000000000000000000000100000000010000000000000000000000000000000000000000001000000010000010000000000000000000000000000000000000000001000000000000000000111000001000000000001000001001000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001010000001000000000000000000000000000100000000000000000001000000000000000000001000000000000001000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000010000001000000000000000000000000000000000000000000000000000000000001000000100000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000100000000000000010000000000000000000000010000010000000000001000000000000000000000000000000000000010000000000000000000000000100000000000001100000000000000010010000000000000100000000000000000000000000000000000010000000000000000000000000000010010000000000000000000000000000000000000000000000001000000000000000001000000010100000000000000000000000000000000000000000000001001010000000000001000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000010010000000000000000000000000000000000000000000100000100000001001000000000000000000000000000000000000000010000000000000000001100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000001000100100000000000000010000000000000000000000000000001000100000000000000000000000000000100000000000000000000000000000000000000000100000000000000100010000000000000000000010000010000000000000000000000000000000000000000000000010000000010000000000000000010000000001000000000000000000000000000001010010000000000000000000000000000000000000000010000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000110000000000000100000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000100000000000000000010000000000000000000000000000010001000000000000000000000010010000000000000000000000100000000010000000010000000000000000000000100000000000000000000000000000000000000000000000000000011100000000000000000000000100000000000000000010000000000000010000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000110000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000010000000000000000000000010000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000010000000000000010010000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000101000000000000000000000100000100000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000101000001000000000000000000000000000000000010000000000000000000000000000000000100000000000100000000000000000000100000000100000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000010000000000000000000010000000000000000000000000100010000000000000000000000000000000000000001000001100000000000000001000000000000000100000000000000000000000000000000000000000000000001000000000000100000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000100000000000000000000000000000000010000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000100000000000000000000000000010100000010000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000010000000000000000000000100000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000100000000000000000100000000000000000000000010000000000000000001000000000000000010000000010000000100000000000000100000000000000000000000000000000010000000000000000000000000000000000000001000001000010001000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000010000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000100000000000000000000001100000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000001000001000000000100000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000100000000000000000010000000010000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000010100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000010000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000100000010000000000000000010000000000000000100001000000000000000001000000000000100000000000001000010000001000000000000000000000000000000000001100100000000000000000000000000000000000000000000000010100000000000000000010000000000000000000000000000010000000100000000000000000000000000000000000000001000000000010000000001000000000000000000000100000001001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000010000000000000000000000000000000000000000101000000000000000000000000000000001000010000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000100000001000000001000100000000000000000000000000000100000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000001000010010000000000000000000000000000000000000001000000000000010000100100000000000000110000000000000000000000000000000000000000001000100000000000000000000100000000000000000001000000010000000000011000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000010000000000000000100010000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000010010000000000000000000000000000000000000000000000000000000100000010000000000000000000000001000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000001000000001000000000000000000000000100010001000000000000000000000000000000000000001000001000000001000000000000000000000000000000010000000000000000000000000100000000000001000001000010000000000001000000000000000000000000000000000000000000000000000000010000000000000000010000000000000010000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000001000000000000000000000000010000000000000000000001000000100000010000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000010000000000000010000000000010000001000000000000000000000100000000000000000000000000000000000000000000000000100010000000000000000001010000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000001000000000000000000000000000001000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000100000000000010100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000001000100001010000000000000000000000001000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000100000100000000000000000000000001000000000000000000000000000000000011001000000000000100000000000010000001000000000000000000000000000000000000000000000000100100000000000010000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000010000000001000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000001000000000000000010000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000010000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000001001000000000100000000000000000000000000000001000010000000000000000000000000000000000000000000000001100000000000000000000000000000010000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000010100000000000000000100000000000100000000000000000010000000001000000000000100000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000010000000000000100000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000100000000000000000000000000000000010000000001000000000000000000000000000000000000000000010001000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000001001000000100001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000110010000000000000000000000000000000000000000010000000000000001001000000000000000000000000000000000000000000000100000100000000000000000000000000000010000000000000000000000000101100000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000100000001000000000000000001000000000000000000000000000000000000000000000000000000000000000010000100000000000010000000000100000000000000000000000000100000000000000000000000000000100000000000000000000000000000000010000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000010000000100000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100100000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000010000100000000000000000000001000000000000000000000000000000000100100000000000000000000000000000001000000000000000100000000000000001000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000110000000000100000000000000000000000000000001000000000000000000000000000000000010000000010000000000000000001000000001000000001000000000000000000000000001000000100000000000000000000000010000000000000010000000000000000000000000000000000000100000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100001000001000000000000000000000000000000000000000000000000000000100010000010000000000000000000000000000000000000000000000001000000000000000000000000000010000000010000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000001000010000000000000100100000000100000000010000000000000000000110001000000000000000000000000000001000000000000000000000000100000100000000000000000010000000101000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000001000000000000100000001001000000000100000000000000000000000000000000010000000000000010000000000000000000000000000000010000101000000000000000000000000000000000000001000000010000000000100001010000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000100000000000000001000000001000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000110000000000000000000000000000000000000000000000000000000100000000001000001000000010000000000000000100000100000000000001000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000010000001000000000100000000000000000000000000000000000000010000000000000000010000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000100000000001000000000010001000000000000000000000000000010100100000000000000010000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000010010000000000000000000000000000000000000000100000100000000000010001000000000000000000000000000000000000010000000010000000000000000000000000000000000000100011010000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000000001000000001010000000000000000000000000000000000000000000000000000000001000000000000010000000000100000000000100100100000100000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010100000000000100000000001000000000000000000000000000000000100000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010010000100010001000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000100000000100000000000000000010001000000001001000000000000000000000000000000000000000000000000100000000000000000000000000000010100000001000000000000000000000000000000000100000000000001100000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000101000000010000000000000001100000000000000000010010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000010000000010000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000100000000000001000100000000010000000000000001100001000000001000000000000000000000000010000000000000000000000101000000000001000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000011000000000000000000010000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000011000100000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001010000000000000000000000000000000000000101000100000000000000000000000000000000000000000000000000000000000101000010100000000000000000000000000000000000000000000000000000001000000000001000000100000000000000000000000000001001010000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000101000000010000000000000000000000100000000000000000000000000000000100000000100000000010000000000000000000010000000000010000000000000000000000010010000000000000000000000000000000000000001000000000000000000000000000010000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000011000000000000000010000000000000000000000000000000000000010000000000000000010000000010010000000000001010000100000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000001000000000000000000000000000000000000000000000000000100010000000000000000000010000000000000000000000000000000000000000000010000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000001000000000000000000000000000000000000100000000000000000000000000000000000100000000000000001100000000000000000000010000000000000000001000100001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000100000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000010001000000000000000010000100000000000000001000000000000000000100000000000010000000000010000000000000000000000000000001000000000000000000000000000000100000001000000000000000000000000010000000000000000000000000000000000000000100010000100000000000000000000001000000000000010100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000010000000000010000000000000000000000010000000000000000000000000000000100000000000000010000000100010000000000100000000000000000000100000000000000000000000100000000000000100000000100001010000000000010010100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000010000000000000000000100000000000000000000000000000001000000000010000000000000000010100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000010000010001001000000000000100000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000001000000000000000100000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000101001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000010010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000100000001000000000000000000010100000000000000000100000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000100001000000000000000100000000000001000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000010000100000000000000011000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001100100000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000110000000001000000000000000000000000000000000000000000000010000010000100100000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100001000000000000000000000000000000000000000010100000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000110000000000000010000000000000000000000100000001000001000000000000100000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000100000010000000000100000000000000000000000000000000000100000000000001000000000000000000000000000000000000001000000000000000000000001000000000000000000000000100000000000000000000000000010000000000000000000000001000000000000000000000000000100001000000000000000000000000000000000000000000000000000100000000000000000000100000000000000010000000000000000000000000000001000000010000000000000000100000100000000000000010000000000000100010000000001000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000100000000000000000000000000000010000100000000000001000000010000000000000001000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000001000000000000001000000000100000000000000000000000000000000000000100000000000000000100000000000000000001000000000000000000000000010000000000001000000010000010000000000100000000010000000000000000010010100000000000000001000000000000000000000010000001000000000000000100000000000000001000000001000000000000000000000000000000010000000010000000000000000000100000001000000000000000001000000000000000000000000000000100000010000000000000000000000001000010000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000001000000001000000000100001000000000000001000000000000000000000000000001000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000100000101000000000000000000000000001000001000000000000000000000000000100001000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000101000000000000000000000000000001000000100000000000000100000001000100000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000001000000000010000000000000000000000000110000000000001000000000000100000000000000000000000010000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000010000001000000000000000000000000000000000001000011000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000010000100000000000000000010000000000000000010000000000000000000000100000000000000000000000000000000000000001000000000000100000000001000000000000000000000000000000000000000000000000001000001100000000000000000000000000001000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000001000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000100000000000000000000001000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010001000010000000100000000000010000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001001000010000000000000000001000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010001000000001000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000010000000000000010000000000000000000000000000010000000000000000000000000101000000000000000000000010000000000100000000000001000000000000000000011100000000000000000000000000000000000000000000000001000000000000000001000100000000000000000000000000000000000000000000000000000000000100000100000000000001000000000000000000000011000100000000000000000000000000000000000000000000000001000001000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000010000000000000000000100010000000000010000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000010010000100000010000000010001000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000001010000000000100000000000000000000001000000000000000000000000000000001000000100000000000000010000000000000100000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000100000000000001000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000110000100000000000000000000000000000000000010000000000000000010000000000001000000000000000000000000000000010000100000000000000000000000000001000000010000100000000000000000100000000000000000000000100000001000000000000000000000000100000000000000000000000100000001000010000100100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000100000100000000000000000000000010010000000000000000000000000000000000011000000000000000000000000010000000001000000000000100000000000000001000000000000001010000000000000100000001000000000000000000000000000000100000000000000000000000000100000000000001000000000000101000000001000010000010000000000000010000000000100000000000010100001000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000011000000000000000010000000000000010000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000100000000000000000000000000000000100000000001000000000000000010000000000000001000000000000000001000000000000000000000000000100000000100000000000000000000000000000000000000010000000000000010010000010000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000010000000100000000000000100000000000001000000000000000000000000000000000000000000000000000000000000010000000000000010000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010010000000000000000000000000000000000010000000000000000000100000000000000001000000000000000000000000000000000010000000000000000000000000000001000000010000000001000000000000000000010000000000000000000000000000100000000000000000000010000000000000000000000001100010000000100000000000000000000000000000000000000000000000100000000010000000000000000010000000000000000000000000000000000000000000010000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000001000000000000000000000100000000000000010000000000000000000000000100010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000001000010000000000000000000000000000000000000010000000000000000000000000000000000000000001000000010000000000000000000000100000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000100001000010000000000000000000000000000000010000000000000000000000000000000001001000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000010000000000000100010000010000000000000000000000000000000000000000000000000000010000100000000000000000000000100010000000000000000000000000000000000000000000100010000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000110000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000001000000000000000000000000000100000000000000000010000000100000000010000000000000100000000000000010000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000010000000000001000000000000000000000000000000000000000000000000000000001011000000000000000000000000000000000000000000000001000000100000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000100001000000000000100000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000100000000000010000000000000000000000100000000000000000000000001000010000000000000001000000000000000000000000000000000000110000000000010000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000001000000000010000000000000000000001001000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000011000000001000000001000100000000000000000000000000001000000000000000000000000000000000000001000100000000000100010000000000010000000000000000000000000000000000000000000000000000001000000000000010000000000000100000000000000100000000001000000010000000000000000000000010000000000000000100000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001010000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000010000000110100000000000000000000000000000000000000000000001000000010000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010100000000000000000000000000000000000000010010000000000000100000100000000011000000000000111000000000000000000000100000000000000000000001000000000010000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000001000000000000000001000000010000000001000100000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000010000000000000000000000000000000000000100000000100000000010000001000001001000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000010000100000000100000100000000000001000000000000000000000000000000000001000000000010000000000000000000000001000000000000000000000000000000000100000000010000000000100001000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000001010010010000000000000000000000001000000000000000000000000010000000000000000000000000001000000000001000000000000000010000000000000000000000000000000100000000000000010000110100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000100000000000000000000000000000000000001100010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000010000000000000000000000000010000000010000000000000000000000000000000100000000000000000000000000000000000000000010001000001000000000000010000000100000100001000000000000000000000000000000010000000000000000000001000000000000000000000100000000000000000000000100000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000010100000000000000110000000000000100000000000000000000011000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000100000000000000000000000001000000000001000000000000000001000000000000000000000000000000000000000000010000000000000000100100000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000100010000000000000000000000000100000000000000000000000000000001000000000000000000010100000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000001000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000110000000000101000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000001000000000010000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000100000000000000000001010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010100000000000110000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000100000000000000100100000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000001000010000000000000000000001000000000000000000000000000000000000000000000000000000000001000100001000000000000000000000000010000000000000000000011000000000000000000000000000000000000000100000000000000010000000000100000000000000000000000000001100000000000100000100000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000100100000000000010000000000000000000000000000000000000000000000000000000000010000000000000000010100000000000000010000000000000000000010000000000111000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000011000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000101000000000000000100100000001000000000000000100000000100000000000000010000001000000000100000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000101000000000000000000000000000000000000000000000000000000000010100000000000000000000000000100000000000000000000000000011000000000001000001000000000000101000000000000000000000000000000100000000000000000000000000000000000000000000000100100000001000000000000001000000000000000000000000000001000001000000010000000000100000000000000000010000000000000000000000000000000000000000100000000000000000100000000000001001000100000000010000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001100000001000000000000000100000000000000000000000000000001000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000001000000000000000100000000000000000000000000010010000000100000010000000000001000000000000100000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001001000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000001000000000000000000010000000000000000000000000001000000000000000000000000000001000010000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000010000000100000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001001100000000000000000000000000000000000000000001000000000000000000000000000100000000000100000000000000000000000000100000000000000000000000000000000000000000000000000100000010100000000000000000000000000000001000000000000000001000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000001010000000000000000000000000000000000000000100000000000010000000101000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000100000010000000001101000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000010000000000000010000001000100000000000000001000000000000000100000000001000000011000000000000000000000000000000000000000001000000000000100000000000101001000000000000000100000000000000100000000000100000000000001000000000000001000000000000000000000000000000000000000001000000010000000100000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000001000000000000000000000000000001000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000011000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000011000000000000000000000000000010000000000010000000000000001000000000000000000000000001000000000000000000000000010001000000000000010000000000000000000001000000000000000000000000100000000000000010001000000000000000000000000010000000000000000000000000000000000000000000000100000000001100000000000000000000000000000000000000000001000100000000000100000000000000000101001000000000000000000000000000000000000000000000000010000000000000010000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000001010000000000000000000000100001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000001001000000000000000000000000000001000000000000000000000100001000000000000001010000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000101000000000000000100000000100010000000000000000000000000000000000010000000000000000100000000000000000000000100000001000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000110000000000000000000100000000000000000000000000000000000000000000000000000000000000010100100000010000000000000000000000000000000000000000000000001000000001000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000010000000000000000000000000000010000000000000000000000000000000000000001000000000000000011000000000000000000000000000000100000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000100000010000000000000000000010001000000000000000000000010000000000100000000000000000000000000010000000000010000000001000000000000000100000000000000000000000000000000000010100010001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000001000100000000000000000000000000000000010110000000000000000000000000000000000000000000000101000001000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000100000000100000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000100000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000100010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001010000000000000000000010000000010000000000000010000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100001000100000000100010000000000000000000000000000100000000000000001000000000100000000000000000000000000001000100000000000000000000000000100010000000100100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000001000100000000000000001000000000000001000000000001000000000000000001000000000000000000000000000000000010000000000000100000000000000000001000000000000000010000000000000001000001000000000000000000000000000000000000000001110000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000010100000000001000100001000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000100000000000000000000000000000000000000000000000010011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001001000000000000000000000000000000000000000000100000000000000010000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000010000010000000000000000000000001000100000011100000000000000000000000000010000000000000000000000010000000000000000000000000100000000000000000001000000000000000000000000000000000000100000000000000000000000010000000100000001000100010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000001000000000001010100010000000000000000000000100010000000000000000000000000000000000001000000000000000010000000000000000000000100000000000000000000000000100000100100000000000000000010000000000000100000000000000000000010000000000000010000001000000010000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000100000000000000000000000000000000100000100010010000000000000000000100100000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000001100000000000000000000000000000001000000000000000000000000010000000000000010100000000000000000000000000000000000001000000000100000000000000000000001000000000010000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000100000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000100100000000000000000000000010000000000000000000000000000000000000000000000010000000100000000000000100000000000010000000100000000000000000000000000000000001000000000000000000010000000000001001000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001010000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000001000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000100001000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000010000000000001000000000000000000000100000000010000100010000000100000000000000000000000000000000000001000000000001010010000000000000000001000000000000100001000000000000000000000000000000000000000100000001000010000000010000000000100000000000000000100100000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000010000000000000010000000000000000000000000000000100000000000000010000000000000010000000000000000000000100100000100000001000000000000000000100000000000000000001000000000000000000000010000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010010000000000010000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000001000010000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000001000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000100000000000000000100001000100000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100001000000000000000000000100000000000000000000100000010001000000000000000000000010000001000000000000000000000000000000100001000000000001000000000000000000000000000010000000000000100000000000000000000100000011001000000000000010000000000000000000000001100000001000000000001000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000100000000000000000000000010000000000100000000000000000000000000010010000100000000000000000000000001000000000000100000000000000000000000000000000000001100001000001000000000001000000000000001000000001000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000001000000000000000000100000000000000000000000010000000000100000000000000000000000000100000000000000000001000000000001000000000000000000000001000000000000000000100000000000000000000010000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000100000000100000000000000100000010000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000100000000000000000000000000000001000000000000000000000010000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000001000110000000000000000000000010000000000000000000000100000000000100000000000000000000000100000000000000010000011000000000010000000000000000000000000000000000010000000000000000000000100000000001000000000000000000000000000000000000000000000000010000000000010000000000000000000010000000000000000001100000001000000000000000000000000000000000000000000000000010000100001000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000001001010000000000000000100000000000000000000000010000000000000000000001001000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000001000100000100000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000010000000000000000010000000000100000000000000000001000000000000000000000001000000001001000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000010001010000000000000001000001001000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000010000000000000000000000000000000000100000000000000000000000001001010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000001000000000000000100000000010000100000000001000000000000000000001000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000010000100000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000001000000000000000000000000000000100000000000000000000000001000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000100000000100000000000000000000000000000000000010000000000001011000000000000000001000000000000010001000001000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000100000000000000000001000000001000000001000000000000000000000000010000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000010000000100000000000000000000000000000000000000000000000000010000000000100000000000000000000000000100000000000000000000000100000000000000000001000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000100100010000000000000001000000000000000000000000000000000000000000000000000000011010000000000000000001000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000001000000000000000000000100010000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000101000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000001000100000000110000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000010000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000010000000000000000000000001000001000001000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000010000000100000000000000000000000000000000000001001000000000000000101000000000000000000000000000000100010000000000000001000010000000000000000100000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000010000000000000000000000100000001001000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000010010000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000001000000000000000000000000000000100000000000000010000000000000100000000000000000010000000000000000000000000000000000000000000000001100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000010000000000000000110000000000000010000000000000001000000000000000000000000000000000000000000000000000010000000000000100101001000000000000100000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000100000000000000000000000000000000000010000000000010000001000000000000000000010100000000000000000010000000000000000000000000000000000000000000000000000001000000001000000000000000000001000000000000000000000100000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000010000000000010000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000001000000000100000000000000000100000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000001000000000000010010000000000000001000000000000000000000000000000000000000000000000000000010000000010000000000000000000000100000010000000000000000000000000000000010100100010100001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000010000000000000000100000000000100000000000000000000000000000000000001000000000000100000000001000000100001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000010000000000000000000000001000001000000000000000000000010011000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000101000000000000000000000000000000000010000000000000001000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100010000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000010000000000000000000000100001000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000001000000001000011000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000010000000100000000000000000000000000001100000000000001000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000001000000000000000000000000000000000100010000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001010000000000000000100000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000001000000000000001000000000100000000000000000000000100000010000000000010000000100000000000000000000100000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000010000000001000000000000000000000010000000000000000000000000100000000000000000000000000000000000010000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000101000000000000000000000000000000000100000000000000001000000000000000000000000000000100000000010100010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000100100001100000000100000000100000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000010000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000001001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000010001000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000001000000000000000000000000000100000100000000000000000000000000010000000000001000000000000000000000100000000000100000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000001000000000000000000100000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000100000000000010001000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000010000001000000000000000000000000010000100000000000000000000000000000000000000010000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000010100000000000000000000000100000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000110000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000110000000000000000000000000000000000000000000010000000000010000000000000100000000000001000000000000000000000000000010000000001000000000100000000000000010000000000010000000000000000000100000000000000001000000000000000000100000000000000000000000000000000001000000000000010000000000000000010000010000000000000000000000000000000010000000000010000000001000000000000000000000000000000001000000100001001000100000000000000000000000000000000000010001000000000000000000000000000001000000100000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000100100000000100000000000000010000000000000000000000000000000000000000000000000000000000000100011000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000001000000001000001000001000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000011000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000100000000010000000001000000000000000000000000000000000001000000000100000000000000000000000000000001100110000000000100000000000001000000000000010100000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000001000000001000000000010000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000001000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000001000001100000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000100001000000000000000000000000000001000000001000000000000000000000000000000000000000000000000001000000001000000100000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000100000000100000000000000001000000000000001000000010000000000000001100000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000100000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000001000000001000000000000000000000001000000001000000000000000000000000010000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000100000000010000000000000000000000000000010000000000000000000000000000001000000001000000001001000000000000000000000000000010000000000001000000000000000000000000000000000010010000000000100000000010000000000000000100000000000000000010100000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000010000000000000000000000000000000100000000000000000001000000000000000000000010000000000000000000000000000000000010010000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000010010000001000000100000000000000100000000000000001000000001000000000000000000000000000100000000000000000000000101000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000010000000000010001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000100000000000000000000000000000000000110000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000001001000000010000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000100100000000000000101000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000101000000000000000010000000000000000001000000000000010000000000000000000000000000000000000000000000000000000001000000010000000000000000010000000000100000000000000000000000000000000000000000000000010000000000000001000000000000000001000011000000000000000000000000010000000000000000000000000000000000000000000000100011000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000100000000000000000000001000000000000000000000000000000000000000000000000001000001000000000100000000000000000000001000000000000000000000000000000010000000001001000000000000011000000000000000000000000000000000000000000000000000000010000000000000000000100000000000001000000100000000000000000100000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000100000001000000000010000000000000000000100000000000000000000000000000000000000010000000001000001000000010000000000000000000000000000000000100000000000000000101000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000010001000000010100001000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000100000000000000000010000000000000000010000001000001000000000000001010010000000001000010000100000000000000000001000100000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000110000000000000001000100000000001000000000100000100000000000010000000000000000000100000000000100000000000000000000000000000000000000100000000000000000000000010000000000000000000001000000000000101010000000000000000000000001000000000000000000000000000000000000000000000010000000000001000000000000000000010000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000011000000000000001000000000000000001000000000000000000000000000010000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001010000000000000000000000000100000001000000000100000000000000000000000011000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000010000000000100000000000000000000000000100000000000010000001000000000000000000000000000010000000001000000000000100000000000000000000100100000000000010000000000000010000000000000000000000000000000000000000000000100000000001000000000000000000000000000011000001000000000000010000000000100000001000000001000000000000000001000000000000000000000000000000000000100000000000000000000000001000000000001000100000000000000000000000000010000000000010000000000000000000000000001001010000000000100000000010000000000000000000000000000000000000000000000000000000010000100000010001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000010000000001000000000000010000000000100000010000000001000000000000000000000000000000000001000000000000000000000000000000000010000000000000010000000000000000000000010000000100000000000000000000000000000000000000010000000000100101000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000100000000000001100000000000000000010000000000000100000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000010000000010000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000001000000001000000010000000000000000000000011000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000010000000000000000100000010000000000000000000001010000000000000000000000000000001000001001000000000000010000000000110000000000000000000011000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000100000000000000000000000000000000000000000000100000000000010010000001000000000010000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000010000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000110000010000000000000000000000000000000000000000000000000000000010000000000010100000000000000000000000000000000000000000010001000000000000000000100010000000000000000001000000000000000000000010000000000000000100000000000000000000000000000000000000010010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000001000000000000000000000000000000000001001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000001000000000000010000000000000000000001000000000000100000000000000010000000000000000000000000000000000000000010000000000000000000001100000110000000000000000000100000000000000000000000000010000000000000000000000010000100000100000000000000001000000000000000000000000000000000001000001000000000000000000000000101000000000000000000000000000000000001000000000000000000000000000000000000000000000000101000000000000000000000000000000100010000000000000000000100000000000000000000000000000001000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000001000100000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000010000000010010000000010001000000000000000001000000000000000000000000000000000100000000000000000000000010001000000000000000000000000000000010000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000001000000000000000000000010000000000000010000000010000000000000000000000000000100000000000100000000000000001000000000000000000100000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000110000000000010000000000000000000000100000000000000010000000000000000000000000000000001000000001100000000000000000000000000000000010000000000000000000000001000000000000000000000011000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000010100000000000000000000000000000000001000000000000000000000001000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000010000000000000000000000010000000000000000000000000000000000010010000000001010000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010010000000000000000000000000100000000000000000000000000001100000000000000000000000000000010000000000100000000000000000000000100010000000000000000000001000000000000000000000000000000000000010000000100000000000100000000000000001000000000000000000010000000000000000000001000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000010000000000000000000000000000000000000000000000000000000000010000000000001000000000100000000001000100000000000000000000000000000000000000010000000000000000010000000000010000010001000000000000000100000000000000000000000000000000001010000000010000000000000000000000000000000000000000000001000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000100000000000000000000000100001000000000001000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000010000001000000100000000000000000000100000000000010000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000 10 0000000000000000000000001000000000000000000000000000000000000000000000000001010000000000000000000000000010000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001100000000000100000000000000000000000000010000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000110001000000000000000000001000000000000000000000000000100000000000000000100000000000100000000000001000000000000000000000000000000000000000000000000001000000000000000000000000010000010010000000000000100000000101000010000000000000000001000000000001000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000001000000001000000000010000000000000000000000000000000000000000001110000000000000000000000000000000000000000000000010000000000000000000001000000100000000000000000000000100000000010000000000100000000000000000000000000000010000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000001000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000101000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000001000000000000000000000000000010000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000001010000000000000000000000010001001000001000000000000000000000000000000100000000000000000001000001000000000000000000000000000001000000010000000000010000000000000000000000000000000000000000000000010000100000000000000000000000000010000000000000000000000000000000000000000000000000000001000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000001010000100000000000000100000000010000000001000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000010000000000000000000000010010000000000000000000100000000000001000010000010000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000100000000000000000000000001000000000100000000000000000000000000000100000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000001010000100000000100000000001000000000000000000001000000000000000000000010000000000000000010000000000000000000000000100000001000001000010000000000000000001000000000000000001000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000010001000000000000000010000000000000000000000000000000000000000010000001000000000000000001000000000000000001000000000000001000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000001000000000000100000000000000000000000000000000000000000110100000000000010000000000000000000000000000000000000000000000000000000000010001010000000000000000000100000000000000010000000000000000000000001000000000100000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000001000000000000000001000000000000000000000001000000000000000000000100000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000001000000010000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000001100000000000000000000001000001000000000000000000000100000000000000000000000001000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000100100000000000000000101000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000100000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000100000000000000000000000010000101100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000101000100000000000001010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000100000000000000000000000001000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000110000000000000000000000000000000000000100000000000000000000000000000001000000000010100000000000100000000000100000000100000000000000000000010000000000000000000000000000000000000000000000000000000000001001000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000010000000000000000000010010000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000001000000000000000000000000000000001000000010100000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000101000100000000000000000000000000100000000000000100000000010000000000000000100000000000000000000000001000000000000000001100000000000000000000000000000000100000000000000100000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000010010000000000000100000000100000000000000100000000000001000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000100000001000000000000000000000000000000000000000000000100000000000000000000000100100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100010000000000000100001000010000000000000010000000000000001000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000110000000000000000100000000000000000000000000001000000000000000000100000000000100000000000000000000000000000000000101000000000000000000010000000100000000000000000000001001000000000000011000000100000000000000000000000000000100000000000001000000000010000010000000000000001000000000000000000000000100110000000000000100000000000001000000000000000000100000000000100010000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000100000000000000001100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000001000001010000000000000000000000000000000110010000000000000000000000000000000000000000000000000000000000100010000000000000000000000100000000000000000000001000000000000010000000000000000000000000000000001000000000000000000000000010000000000000010011000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000001000100001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000010000000000000000001000000000000000000000100100000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000100000000000000000000000001000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000100000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000100000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000010000000000010000000000000010000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000100001000000000000000010000000010000000000000001000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000100000000000000000000000000000000000000000000100000000000000010010000000000000000000000000000000000000000000000010000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000100000000011000010000000000000000000000000000000000100000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000001000000000000100011000000000010000000000000000000001000010000100000100000000010001000010000000000000000001000100000000000000000000000000010000010001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000001000000000001000000001000000000000000000000000000000001000000000010000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000001000000000001000000000000000000000000000000000000001000000100000100010000101000000000000000000000000000001000000100000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000100000000100001000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000010000000000100000000000000000000000010000000000000001000000000000010000000000100000000000000000000000000000000000010000001001100000000000000000000000000000000000000000000100000000000000000010000000010010000000000000000000010000000000000010010000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000110000000000100010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000100000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000110000000000000000000000100000000000000000000000000010000000000000000000000000000000000001000000000000000000000100000000000000000000001000000000000000000100000000010000000000000000000000000000000000000000000000000000000000010000000010000000000000000100000000100000010000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000010000001000000000000000000000000001010000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000001000000000000000000000001000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000001001010000000000000000000000010010000000000000100000000000000001000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000001000000000001000000000000000000000000001000000000000000000100000000000010000000000000000000000000000000000100000000000000100000000000100000000000000000000000000000000000100000000000000000010000000000000000000000000100000000000000000010001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000100000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000001000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000101000000000000000000000000000000001000000010000000000000000000000000000000000001000000000000000000000001000000001000000000000000000000000000000000000100000000000000010000000000000100001000000000000000000000000000001000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000001000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000110100000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000010000000000000000000100000100000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000001000000000000000000000000000000000000000000000001000000000100000000000010000000000100000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000100001000000000000000000000000000000001110000010000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000010000000000000000000000100100000000000000000000001000000000000000000000000010000001000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000010000000000000000010000000000000100000001000000000000010000000010000000000000010000000000000000000000000000000000100000000000000000000100000000000000000100000000000000100000000000000010010000000000000000000010000010001000000100000000000000000000000000000000000000000000000000000001001000000000000001000000000000000000000000000010000000000000000000000000100000100000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000010000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100010000001001000000000000000010000000000000000000000000000000000000001100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000100000000000000000000000000000000000000010000001000000000000000000000000000000000100000000100000000000000000000000100000000000000000000000000000000100000001010100000000000000000000000000000001000001100000000010000000000000001000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010010000000000000000000000000010000000000000000000001000000000000010000001100000000000000000000000000000000000000000000000000000000011000000100000000000010000000000000000000000000000000000000000010100000000000000000000000001000000010000000000000000000000000000000000000001000000000000000000000000001000000010000000000000000000000001000000000000000000000000010000000001001000000000010000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010010000001001000000000000000000000000000001000000000000000000010000001000100000000000000000000000000000000000000001000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000100000000000000000000100000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001010000000010000000000000000000000000000000000010000000000000000000000010000000000010000000000000000000010000000110000010000001000000000000000000000000000000000000000000000011000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000001010000000000010001000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000100100000000000000000000000000001000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000010000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000100000000000000000000001010010000000000100000001000000010000000000000000000000100000000000100000000000000000000000000000000010000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000010000000000000000000000000000010000000001000000000000000010000000000000000100000000000000000000100100000000000000000000000000000000000000000000000100000000010010000000000000000000000000000001000000000000000000000000001000000000000001000000000000000100000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000010000000000000000000000000010001000000100000000101000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000100000000000000000000000000000000000001000010110000000000000000000000000000000001000000000001000000000000000011000000000000000000000000000000000000010000100100000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000010000000000000000001000000000000000000000000000000000100000000000001100000000000000000000100000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000100000000001010000010000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000010000000000000000000000000000000000000000000000000000001000100000000000000000100000100000000000000000100000000000000000000000000000000001000000000000000010000000000000100000000000000001000000000010000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000001000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000010010000000000000000000000110000100001000000000000011010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000010000001000000000000000000000000010000100000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000001000000100000000000000000000010000000000100000000000000000100000100000010000000100000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000010000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000001010000000000000000000000100000001001000000000000000000100000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000010000000000001000000000000000010000000000000000000000000010010000000000000010000000000010000000000000000000000000000000000000000000000000000000001000010001000000000000000000000000000000000000000000000000000000000100000000010000000010000000000000010100000100010000000000000010000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000100000001000010001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000010000000000000000000000000000000000100000000100000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000010000100000000000000000010000000000000000000000000000001000000000000000110000000000000000000010001000000000000000001000000000000000000000000000000000000000000000100000000000000000010000100000000000000000000000001000000001000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000001000000000100100000000100000000000000001000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000010000000000000000000000000000000000000010000000000000010010000000000000000000000000000000000001100000000000000000010000000001010000000000010000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000010000000001000000000000001010000000000001000000000000000000001000000000100000000010000000000000100000000000000000000000000010000000000010000000000000000000000000000000000000000000000010000000000000010100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000001000010000000000000000000000000000010000000000010000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001010000000000000000100000000000001000000000000000000010000000000010000100000001000000000000000000100000000000000000000000000000000000000000000000001010100000000000100000000000000000000000000010000000000000010000010000000000000000000100000000000010000000000000000000000000000000000000000000000000100000000000000000000010000100000000000000000000000000001000010000000100000000000000000000000000000000001000000010000000000000000000000000000000000000000000000010000000000000000000000010000000000001000000000000000000000000000000000000100000000000000000000000010000001001000000000000000000000000000000000000000000000000000000000000000000000000011000000010000100100100001010000000000000000000000000000000000000000000000000000000001000010000001000000010000100000000010000000000000010000001000000000000000000000000000000000000000000110000000000000000010000000000000000000000000001001000000000000000000000000000000000001000000000000000000000000000000000001000000000000010000000000000000000000011000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000100000000000000000000000000010100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000001000000010000000011000100000001000000000000000000100000000000000000000000100000000000000000000000000000000000000010000000001010000010000000010000000000000000100010000000000100000000000000000000000000100000101000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000001001000000000000000000000000000000100000000000000000000000000001001000000100000000000101000000000000000000000100000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100100000000000000000000000001000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000100000100000000000001000000000100001000000000000000000000000000000010000000000000000000010000000000000000000000000000000001001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000010000000000000000000000010000000000100000000000000000000000000000000000000000000000010001000000000001000010000000000000000000000000000000000000000000000100000000000000000000000100000010000000001000000000000000000000000000000000000000000000000100000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000010000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000001000000000000000000000000000000000000000000000100001000001000010000000000010000000000000000000000000100000000000000010000000000000000000000100000000001000001100000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000100100000000000000000010000100000001000000000000000001000000000000000000001010000000000010000100000000000000000001000000000010010000000000000000000000000000000000000001000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000100000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000100100000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000010000000000000000000000010000000000000000000000010000001010000000000000000000000000000000000000000000000000000000010000000000001000001000000000000000100000010000000001000000000000000000000000001000100000010000100000100000001000100010000000000000000001000000000000000000000000011000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000100000010000000000000001000000000000000000000000000000000000000000000000001000000000000010001000000010000100000000000000000000000010000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000010000001000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000010000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000001000000001000000000000000000000000000010010000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000001000100000000000000000000000000000010000010000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010100000000000000000000000000001000000001000001100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000010001100100000001000000000000000000000000000000000000000000000000000101000000000000000000000000000100000000000000001000000000000000000000000000000000001000000010000100000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000011000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000001000000000000000000000000101000000010000000000010000000000110001000000000000000000000000010000000000000000000000000000000000000000000000010000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000001000000000000000000001000000000000100000000000000001000000000000000000000010100001000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000100000000000000000000000100000100000000000000000000100000000000000000000000000100000000000000000110010000000000000000000001000000010000000100000000000000000000100000000001000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000001000000000000100010000000000000000000000000010000000000100000000000000000000100001000001000000000000000000010000000000100001000010000000000000000100000000000010010000000000000000000000000000000000000000000000010000000001000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000100000001000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000010000000000000001100000000000000000000000000000000100000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000010000000000000001000000000000001000000000100000000000000000000000000000000000000000000000100000001000000000000000000100000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000100001000000000000000000000000000000000000000001000000000000000000000000001001000000000000000000000000000000000000000000000000000000000100100000000000000000000000000010000000000000010000000000000000000000000010000000000000000000000000001000000000000000000000100000001000000000000100100000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000001000000000000001000000000000000000000100000000000000000100000000000000000001010000000000000010000000001000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000100010001000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000010000000000000000000000000000001000000010000000000010000000100000000000000000000000000000100000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000100000000000000000001010000000000000100010000000000000000000000000000100000000000000000000000000000000000000000000000000100100000000000000000001000000000000000000001100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000100000000000000000000100000000000000000000000100000000000000000000001000000000000000100100001000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000100000000000000000000000000000001000000000000000000010010000000100000000000000000000000000000000100000000001000000000000000000000000010000000001000100000000001000010000000000100000000000001000010000000000000000000000000000000000000010000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000001100010000000000000001000000000000000001000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000110000000000010000000000001000000000000000000000010010001000000010000000000000000000000000000010000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000100000000000001000001000000000000000000000000000000000000000000000010000000001000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000100000000010000000010000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000010000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000100000000000000000000000000010000000000000100001000000000100000000000000000000000000000000000000000000000000000000000000000110000000001000000000000000001000000000001000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000001000000001000000000000000000000000100000000000000000000000000000100000000000100000000000000000000000000010000000000000000001000000010000000000000000000000000000000100000000000000010000001000000000000000000000000000000100000000000100100000000000000000100000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000100000000000000000000000000010000000000000000000000000000000001100000000000000000010000000000010000100100000000000000000001000000000000000000000000000100000000001101000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000100000000000000000000000000001000000010000000000000000000000100000000000000100000000000000000000000000000000000000000110001000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000011000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000010010000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000010000000000100000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000010000000000000000000000010000000000000010000000001000000000000000000000000100000001000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000001000000000000000000000011000000000000000000000000000000100000100000000000000000000100010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000001001000000000000000000000100000010001000000000000000000000000000000000000010000000010000000010000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000100000000000000000000001100000000000100010000000000010000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001100100010000000000000000000000100100000000000000000100000000000000000000000000000000010000000000000000000000000000000000001000000000000000000001010000000000000000000000000000011000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000100000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000100000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000001000001000000000101001000000000000001000000010000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000001000000000000000000000000000000000000010000000000000000000001001000000000000000000001000000000000000000000000000000000000000000000010000000010000000000000000000001000001010000000000000000000000000000000000000000000100000000000000000000000100000001000000000000001000010000000000000001000000000000000010001000000000000100000100000000000000010001000100000000000001001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000100000100000001000000000000000011000000000000000000000000000000000000000001000100000000000000001000001000000000000000000000010000000001000000010000000000000000000000000000100000000000010000000000000000000000100010000000000000000000000000000000000000000000000010000000001000000000000000000001010100000000000000000000100000000000000000000000000000000000000000000000010000000000000010000000000001000000001000000000010000000000010000000000000000000000000000000001000100000000000000000000000000000000000000001000100000000000000000000000000001000100000000000100100000000100000001000000000001000000000000001000000000000000100000000000000000000000000000000000001000000000000000000000000000100000000000001000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100001000000100000000000100000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000100001000000100000000000010100000000000100010000000000000000000000000000000000000000000100000100001000000000110000000000000000000000000000001000000000000101000000000000010000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000001000000000000000000000000011100000000000010000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000010000000010000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000010000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000010000000001000000100000010000010000000000000001000000000010000000000000000000010000000000000000000100000000000000000000000000000000010010000000000000000000000000000000000100000000000000000000000000000000000000000010000000000010000000000000000000001000000000000000000010000000000100000000000000000000000000000000000000101000000000000000000000001000000000000001000000000000000000100000000000000000010000000000000000000000000000010000000000000000000000001000000000000000000000000000000100000000000000000000000000001001000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000100000000000000000000000000100000010000001000101000000001000000000000000000000000001000000000000000001000001000000000000000000000000000101011010000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000001000000000000001000000000000000000000100010000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000001000000000000000000010000000000000000000000100000000000000000000000000001000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000100000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000100000000000101000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000100000000000000000000000000000000000010000000000000000100000000000000000000000000000000100000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000001000000000000000001000001000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000010100000000000000000000000000000000000000000000000010010000000000000000000000000000000000000100000000000000100000000000001000000000001000000000000000010000000000001000000000000100000000000010000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000010000000000001000000000000010000010000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000010000000000000100000000010000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000010100000000001000000000000000010000000000000011000000000000000000000000001000000100000000000000000000000010000000000000000100000000000000000000000010000000000000000000000000000001000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000001000001000001000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000010100000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000100000000000010000000000000000100000000000000000000000000000000000000010000000000100010001001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000010001000000001000000010000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000001000010000000000000001010000000000001000000000000000000100000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000001000000000000000000000000001000100000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000001000000000000100010000000000000100000000010000000000000000000001010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000010000000000000000100100000000000000000000000000000000000000000000000001000000000000000000000010000000100000000000100000000000001000000000010000010000011000000000000000100000000000000000000000000000000000000000100000000000000100000010000000000000000000000000000010010000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000010000000000000000000000001000000000000000000001000000000010000000000000000000001000000000000010000000000000000000000001001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000001000000000000001000000000000001000000000010000000000000000100000001000000000100000000000000000000000010000100000000000001000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000100000010000010100000000000100000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000100010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000100000000000000000000000010000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000011000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000100010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000010000000000001000000000000000000000000010000000100000000000000000000000100000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000010000110000000000000100000000000110000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000011000000000000000000000000000000000000000000000000000000001000000000000000010001000000010000000010000000000000000000000000000000000000000000000000001000000000000000100000000000000010000000000001000000000000000000000000000000000001000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000011000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000010001000000000000100000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000010100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100100000000000000000010010000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000100000000000000100000000000000010000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000100000000100000000000010100010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000100000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000001000000000001000000000001000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000101000100110000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000100000000000100000000000000010000000000000000000000100000000000010000000000000000000000000000001000000010001000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000001100000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000010000000000000000000000000000000000001000000000100000000000000000000000000100000000000001000000001000000000000000000000000000000000001010000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000001000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000001000100000000000000000000000000000000000000000100000000000000000000000000000000011000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000001000000100000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000110000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000010000000000000000000000000000000100000000000000000000000000000010000000000010000000001000000000000000000010000000001000000000000000001000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000100000000000000000000000000100000000000001000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000001000010000000000100000100000000000000000000000000000000000000000100000000100000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000010000000000001000000000000000000000000000000011000000000000000010000000000000000000100000000000000000000000000000010000000000000000000000000000000100000000000000000000010011000000000000000000100000000000000000000000000000000000000000100000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001100000000000100000000000000000000000000001000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000010000100000010000000000000000000000000010000000000000000000000010000000000000000000100100000000100000000000000010000000000001000000000000000000000100000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000100000100000000000000000000000001000000000000000000000000000001000000010000000000000000000000001010000000000000000000000000000000000000000000000011000000000000000000100000000000000000100000000000000000110000000000000000000100100000000000000000000000000000100000000000010000000000110000000000000000000000000000000000000000000000000000000000000000010100000010100000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000010100000000000101100000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000001000000000000000000000000000000000000000000100000000000100000000000000000000000000000000100000000000000000000000000100000000100000000000000000000000000000010000000100010000000000000000000000000000000000000000000000000000000001010000000000000010000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000100000000000000000000000000000000000001000000000000011000000000000000000000100000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000100000001100000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000010000011000000010000000000000000100000001000000000000000001000000000000000000000000010000000000010000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000010000000000001000000000000000000000000000000000000000000000010000000000010000000000100000000000000100000000000001000000000000000000000010000000000000000000000000000000000000000000010000000001101100000000000000100000000000110000000000000000000000100000000000000000100000000000000000000000000010000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000001010000000000000110000000000001000000000000000000000000000010000000000000011000000000010000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000001000000000001000000000000000000000000000000000100000000000100000000000000000000000000000001000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000100000000000000000000000001000000000000000100000000000000000000100000000000000000000000000000000000000010000000000000011000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000100000000000001000000000011000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000001000100000000000000000000001000000000000000000000000000000000000000000000001100000000000100000000001000000000000010000001000000000000000000000000010000100000000000000000000000000000000000000000100000000000000000001000000000000000000010000000000000000010000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000100000000000010000000000100000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000010000000000000100000000100000000000001000000100000000000000000000000000000000000000000000000000000000100000000000001000000000000000000001000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000001000001000010001001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000010000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000100000000000000000010000000001000000000001000000000001000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000001000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000100010000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000001000000000000000100000000001000000000000000000000000000000000000000010010000000000000000000000010000000000001000000000000000000000010100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000010000000000001000000000000000000000000000000000000000000010000001000010000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000100000000100000001001000000000000000000000000000000000000000100100000000000000000000000100000000010000000000000000000000000000000000001001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000010000000001000000000010000000000000000010000010000000000000000001000000000000100000000000001000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000100000000000010000000000000000000000000000000000000000000000000000110000010000000000000000000100000000000000000100000000000000100000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000100000000000000000000000000100000000000000010000000000000000000000000000000000001010000000000000000000000010000000000000000000000000000000000000100000000100010000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000100000010000000000000000000000000000000000110000000000000001000000001000100000000000000000000000000001000000000100000000000000000000000000001000000001001000000000000000000000000000000000000000000100000000000000000000000000000000001110000000000000100000000000000100000000000101000000000000000000000010001000100000000000000000010010000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000010000000000100000000000000001000000000000010000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000011000000001000100000000000000000000001001000000000000000000000000000010000000000000000001000000000000000000000001001000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010100010000000000000000000100000000000000000000000001000000000000000010100000000000000000000000100000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000100000100000000100000000000000000010000000000000000000000000000000010000000000100000000000000000000000000000010000100000000000000000000001000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000010000000000100001000000000000000000000000000010000000000000000000100001000000000000000000000000000000000000000000000001000000000000000000000000010010000000000000010000000000000000001000000000000000000000110000000000000000000000000000000000000000000100000000000010000000000000000000000000000010000000000000100000000000100000000001000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000110000001000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100100000000000000000000000010000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000100000000000001000000000010000000000000000000000000000000000001000000000000000000000000000011000000000000000000000000000000000000000000000000000001001000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000001001000000000000001000000000010000000000000000000000000101000001001000001000010000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000100100000001000000100000000000000000000001000000000000000000000000000000001000000000000000000000000000010000000000100010000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000010000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000100010000110000000000000000100000010000000000000000100000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000001000000000000000000000000000001000100000000000000010000000000000000000000000000010000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100100000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100100010000000000010000000010010000000000000000000000110000000010000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000100000011000000100000000000000000000000000000000000000000000000000000010000000001000000000000100000000010000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000100001000010000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000001000100000000000000000100000000000000000000000000001000000000000001000000100000000100000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000010000000000100000000000000000000000000000000000000000000001000000000000000100000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010100000000000000000000000000100000000000000001000000000100100000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000010000000000110000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000011000010000000000000001000000000000000000000100000000000000000000100000000100000000010000001000100100000000000010000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000001010000000001001000000001000000000000000000000001000000000000000000010001000000000100000100000000010000100000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000010000000000000000000000000000000000000000001100000001000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000001100000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000010000000000000000000000000000000000100000000000000000000000000100000000000000000000000001000000000000000100000010000000001000000000000000001000000100000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000001000010000000000000000000000000000000000000000000010000000000010000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000010100000001000000000000000000000011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000010100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000100000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000010100100000010000000000000000000000000000000000000000000010010000000100000000000000000000000010010000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000100010001000000000000000000010000000000100000000000000000000000010000000000000000000000000001000000000000000000000001000000000000000000010000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000100000000000100000000000000000000010000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000100000010000000000010000000011000000000001000000000000000100000000000000100001000000000000000000000101000000000010000000000000001000000100000000000000010000000100000000000000000000001000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000010000000100000000000000000011000000000000000000000000000000010000000000000010000000100000000000000000000000000000000000010000001001000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000100000000000000000000000000000000100000000000000000000000000000000000000101000000000000000000000001000000000000000000000000000000010000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000010000000000000000000000000000000000001000000000110000000000000000000000000000000100000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100010000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000010000101000001000000000010000000000000000001000000000000010000000010000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000010000000101000001000000000000000000010000000100000000100000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000001001000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000100000000000000010000011000001000000000000001000000000001010000000000000000000000000000000000000000000001000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000010000000000000000001000000000000000000100000000000000000000000010000010000000000000000000000000000000000000000000000000000000100000010000010000000000000000000000010001000000000000000000010000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000010000000000010000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000001001000000100000000000000000000000000000000000100000000000000000011000000000100000000001000001000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000001000000000010000010000100000000001000000000001000010000000000000000101000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000100000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000010000000001000000000100000000000000000000000010001000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000101100000000000000000000000000000010000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000011100000000000001000000000000000000100000000000000000000000000100000000000100000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000001000000000000000000100000000000000010000000000000010000000000001000000000000000100000000010010000000001000000000100000000000000000000000000000000000010000001000000000000000000000001000000001000010000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000010001001000000000000000000010000000000000000000000000000010000000000000000000000001000000100000000000000000100000000000000000001000000000000010000000000000000100000000100010000010000000000000000000000000000000010000000000000000000000000000000000000000000100001000000000000000000000000000000000000000100000000100000000000000000100000000000000000000000000000000000010000000100000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000010000001001000000000000010000000000000000000000000000000001000000000010000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000010001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000001000000000100000000000000000000001000000000000000000000010000000000000000000000000010000000000000000000000000000000000000011000000000001000000000000000000100000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000010000000100000010000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000100000000000000000000000000001000000000000000000000000010000000000000000000000000000011000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000001000000000000000000000000010000000000000000000010010000000000000000000010000100000100000000000000000000000001000000001000000000000000001000000010000000000000100000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000100010000000000000000000011000000000000000000001000000001000000000000000000000000000000000000000000000000010000000000100000000001000000000000000001010000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000101000000010000000000000000000100000000000000000000000000000000000000000010000000000000000001000000000000100000000000000000000000000000001000000000000000000000000000100000010000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000001100000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000001010000000000000000100000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001100000010000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000010000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100010000000000000000000000000000000000000100001000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000100000000100000000000000000000100001000100000000000000000000000000100000000000000001010000000100000010000000000000000000000001000000000000000001000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000001000000010000000000000000010000000000100000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000100000000000000000000000001100001000000000000000000000000000000001000000000000000000000000010000000000000000000100001000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000100000010010000000001000010000010000000010000000000000000000001000000000000001000001000000000001001010000010000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001011000100000100010000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000001000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000001000010000100000000000000000000000000000000000000000000000000000001000000000000010001000000000000000000000000000000000000100000000000000000010000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000001001000000000000000000010000000000000001000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000001000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000101000000001000000000000001000000000000000000000000000000000000000000000010000000010000000000100000000000000100000000000000000100000000000000000000010001000000010000000000000000000000000000000001000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000010000000000001000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000010000000000000000000000000000000000010000100000000000000110000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000001000000000000000000100100000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000001000000000000000000000010000000000000000100000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001100000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000100000000001000001000000000000100000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000010010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000010000010000000000000000000010000000000000000000000000000000000001000010000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000001000000000001000000000000000000100100000000010000000001010000000001000000000000010000100010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000010000000000000000010000100000000000000000000000000000000000000100000000000000000000000000010010000000000000000100000000000000000000000000001000000100000000000010000000000000000000001000000100000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000010000000000000000000100000010000000000000000000000010000000000010000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000010000010000000000000000000000000000100000010000000000000000000100000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000001000010000000001000000000000000000000000000000000000110000000000000000000000000001000000000000000000000000000000010000000000000000001000000000000000100000010000000000000000000000000000000000000000001000000000000000000000010000000000000000000010000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000100000000010000000000000000100000000000000010000000000000010000000000000000000000000000000010000010000000000000000000000001000000000000000000000000010000000000000000000100000000000010000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000100000000000000010000001000000000010010010000000000000000100010010000001000000000000000000010000000000100000000001000100000000000000001000000000000000000000000000000000000000000000100000000000000000000000001001000000001000000000000000000000000000000000000000100010000000000000000000000000100000000000000010000000000000000000100000000000000010001000000000000000010000000101000000000000000000000000001000100000000000000000000000010000000000000000000000000000000000100000100000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000001000100000000001000000000000000000010000010000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000100000000000000000100000100000000000000000000000000000000000000000000000000000000000000010000010000000000000100000000000000100000001000000000000000000100000010000000000000001000000000000000100000000000001000000000000000000000000000000010000000000000000000000000000000000100000000000000000000001001000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000110000000000000000010000000001000000000000000000000000000000100100000000000100000000000010000000000000000010000000000000000000000000010000100000000000000000000000010000000000000000000000000000000000000000000000000010100000000000000000000000000000000010100010000001000001000000000000000000100000100100000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000100000000000000000000000000000000000000100000100100000000000000000000000000000000000100000000000000000000000000000000000001010100000000000000000000000001100000010000010000000000000000000000000000000000000000000000000000000100000000010000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000010000100000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000001001000000000000000000000000001000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000111000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000010000000000000000000000000010000000000010000000000000100000000000010000000000100000010000000000000000010000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000110100000000000000000000000000000000000000000000000000000000000001000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100010000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000100001000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000010000000010000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000001000000000000000000000000001000000000000000010000000000000000001100000100000000001011000000001000100000000000000000000000000000000000010000000000000000000000000000000010000000000000000010000000000001000000000100000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000001000000100100000000000000100000000000000000000000000000001000000000000001000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000110000000000000000000000100000000000000000000100000000000000000010000000000000000000000000000000000000000000100000000000000001010000000000000000000000000000000000000000000000000000000000000000010010000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000010000000100000010000000000001000000000000000000000100000000000000000000100000000000000000010000001000000000000000100000000000000000000000000100000000000000000000000000000010000000000100100000000001000110000010000000010000000000000000000000000010000000100000010000000000000000000000000000000000001100010000000000000000000001000000000000000000000000100000000000000000000000001000100000000000000100000100000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000110000000000000000000000100000000100000000000010000000000000000000000000000000000000000000000000000010000001000000000000001000000000000000000000000100000000000000000000000000000000000000000000100000000000010000000010000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100010001010000000000000000010000000100000000000000000000000000000000000000000001000000000000000000000000001000010000000000000001000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000001000000000000000100000000000000000100000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000010010000000000100000000000000000000000000000000010000001000000000000000000000000000100000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000100000011000000000000000000000000000010000000000001100000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000100010000000000100000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100001000000000000000000000000000000000000000000000000001000000001000010000000000000000000000000000000000000000000000000000000000000000000100000000101000000000001000000000000000000000010000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000001000000000000010000000000100000000100000000000000000000000000000100000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100100000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000100000000000000010000000000001000001000000000010000000000100000000000000000001000000000000000000000000000000000000100000000000000001000000000100000000000000000000000000000000000000000001000000000000100001000000000000000000000000000000000000010000000000000000000000000000000010000001010000000000000000000000000000000000000000000000000000001010000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000001100000000000000000000000100000100000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000010000000000000010000000000010000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000001000010000000000000001000000000000000000000000000001000001000000010000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000001000000000000000000000000000000100100000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000010000000000000000000000000000010000000000000000000000000 0000000000000000000000000000000000000011000000000000010001000000000000000000000000000000000000001100000000000000000000000000000000100000010000000000000000000000000100000000000000000000000000000000000000000010000010000001000001000110000000001000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000110000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000011000000000000000001000000000000000000010000101000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000100000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000100000000000000000000000000000000001000000000000000001000001000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000011000000000100000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000010000000000000000100000000000000000000100000000010000000000001000001000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000100010000000000000000000000000000000000000001000000010000000000000000000000000000000000000100000000000000000000000000001000000000000000000000010000000000000000000000000000000000010000000000000000000000000100000000000000001000000000000000000000000010000000000000000000000000000000100000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000001000000000100000000000100000000001000000000000000000000000000000000000010000000000000000011001000010000000000000000000000000000000010100000100000000000000000000000000000000000000000000000000000000000110000000001000000000000000000000000000000010010010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000010000000000000000001000000010010100010000000000100000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000100000000001100010000010000000000100000000001000000000000000000000000100010000000010000000000000000000000000000000000000000000000100000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000001000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000010000100000000000000000010000000000010000000000000000000000000000000000000000000001000000000000010000000000000000000000000000010000000000000000000010000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100100000000000000000000001000000010000000000010000000000100000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000010000001000000000000000100100000000100000000001000000000000000000000000000000000000000000000000011000100000000000000000001000000000000000000000000010000000000000010000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000100000000000000000000000000000000000000100000000000000000000010000010000011000000100000000000000000010000100000000000000000000000000001000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100001000010000000000000000000000000000010000000000000000000000000000000001000100000000001000000000000000000100000000000010010000000000000000000000000000000000000010000000001000000000100000000000000000000000000000000000000000000000000001000000000000000011100000000000000000000000000000000000000100000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000100000010000100000000000000000000000001001000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000110000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000001000100000000000000000000000000000000000000000000001001000010000000000000000000000000000000010000000000100000000001000000000000000000000000000000000000000000000000000001000000000000000010000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000011000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000010000010000000000001000000000010000000000000000000000000001000000000001100000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000100100010010000010000000000000000000000010000000000000000000000000001000000000000000000000000000000000000010000000001000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000100000010000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000100000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000100001000001000001000000000000000000000000000000000000000000000001000000000000100000000000000000000001000000000000000000000000001000010010000000000000000000000000000000000000000000000000000000100000100000000000000000100000000010100000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000001000000000000000000000000000100000000000000000000000000000000000000100001000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000001010001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000100000000000000000000000100000000000000000000000000000000000000100000000000000000000000000100000000000000000000000100000000001000000000000000000000000000000000000000001000000000000000101000100000000000000000000000100000000000000000000000000000000000100000000000001000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000010000000100000000000000000001000000101000000000000000000001000000000000000010010000000000000000000001000000000000000000000001100000000000000000000000000000000100000000000001000000000000000000000000000000001000000000000000000100000000000100000000000000000000000000000000000000000010000000010010000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000001000000000000010000000000000000000000000000000001000000010010000000000000100000000000000000000000010000000011000000000000000000000000000001000000000010000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010110000000000000000000000000000000000000000000010000000000000000000001000000000000000000001000100000100000000000000000000000000000000100000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000010000100000000000000000000000001001100000000000000000000000000000000000000000100000000000000000000000000000000001010000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000001000000000000000000000010000000001000000000000000000000010000100000000000000000000000000000000000000000000100000000000000000000001000000000000000001000000000000000000001000000000000000000000000011000000000000000000000000000000000010000000000000000000000100001000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000100000000100000000010000000000000000000000000000010001000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000001000000000000010000000000000000000000010000000000000000000010000000000000000000000000001000000000000000010000001000001000000000000000000000000000000000000000000000000000001000000001000000001100000000000000001000001000000000000000000000000000000000000000010000000000000000001000010000000000000000010000000000000000000000001000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000001000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000010000000000000000000000000000000000000000001000010000000000000000001000000000000000000000000000000000000000000000000100000000000000011000000000000000000000100000000000000000101000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000001010000000000000000000000000000001000110010000000000010000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000010100000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000001000000000000001000000000000000000000000000000010000000000000000000000000100000000000000000000000010000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000100000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000100001000000000010000010000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000100000000000000000100000000100100000000000000000000000000000000010000000000000000000100000000000000010000000000000000100000001000000000000000100000000000000100000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000010000000000100000100000000000000000000000000000000001000000000000000000100000000000101000000000000000000000000000000000100100000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000001000000000000100100000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000010000000000000000000000000000011000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000100000000100000000000010000000000000000000000000000000000000100000000000000000000000000000001000000000010000000000000000000000000010000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000010000000000000000000010000000000010000000000010000000000000000000010000000000000000000000000000100000000000000000000000000000000000000010000000100000000100000000000001000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000001000000000000000000010000000000001000000000000000000000000000000000001000100000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000010010100000000000000000010000000000000000000000100000000000100000000000010000000000000000000000000000100000000000000010000010000000000000000000000000000000000000000000000000000000000000100000000000000010010000000000001000000100000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000001000000001000000000001000010000000000000000000000000000010000000000001000010001010000000000000000000000100000000000000000000000000000000001000000000000000000000000010000000000000000000001000000100000000000000000100000000000000000000010100000000000010000000000000000001000000000000000000000000000000000000000001100001101000000001000000000000000000000010000000000000000000100000000010000000000010000010000000001000000000001000000000000000000000010000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000101000000000000000000000001000000000000000001000000000000000000000010000000001000000000000000000000000000000010000000000000000000000000000000010000100000000101000000000000000000010000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000001000000100000000000000000000000100001000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000100000000000000000010000000000000000000000000000000000100100000000000000100001000000000000000000000100000001000000000000000001000000000000000000000000010000000000000000000000000000000011010000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000001010001000000100000000000000000000000000000000000000001000110000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000010000000000000000000000100000000000000000000000000000000000000000000000000000000110000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000011000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000001000000000000100000000000000000000000000000000010000000100000000100000000100000000010000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000001000000000000000000000000001000000000000000010000000000000000000001000000000000001000000000000000000010000000000000100000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000001000000010000000000000001000000001001000000000000000000000000000000000000000000010000000000000001000000000000000000000000100000000100000010000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000010000001000000000001001000000000000001000000000000000000000010000000000000001000000000000010000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000010000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000001000000000000001000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000001000100000000000010000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000010010000000000000000000000000000000000000100000100010000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000010000000000000000001000001000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000100000000010000000000000000000000000000000000000000000000000000000001010000000000000000010000000000000000000000000000000000000100000000100100000000000000000000000000000000010000000100000000001000000000000000000000000000000000000000000000000101000000010000000000000000000000100000000000000000000000000000000010000001000000010000000000000000000000000000000010000000000000000000000000000101000000000100000000000000000000000000000000000001000000000000000000000000000100100000000000000100000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001010000000000000001000000000000000000000000000000000000000000000101000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000101000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001100000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000010100100001000000100001000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000100000000000000000010000000000001000000000000000000000000000000000000000000100000010000000000000000010000000000001000000000000000000000000000000000000000000000000000100000000010000000000000000010000000001000000000000000000000000000000000010000000000000000000001000000000010001000000000000100000000000000000000000000000000000000000010000000000000000000000110000000000000000000000000000000000100000000000100000000000000000000000000000000000000011000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000100000000000000000000000000011101010000000000000000000000000000000000000000000000000100000000000000000000010000000000100000000000000000000000000000010000011000000000000000000000000000000000010001000001000000000000000000000000000001000000000000100000000000000000000000000000000000000000000010010100000000000000001000000000000000000010000000000000000000000000000000000000000010000000000000100000010000000000000000000000100010000000100000000000000000000000000000000000000000000000011000000000100000000000000000000000000000000000000000000000000000000000000000000000010010000000000000010000100000000000000100000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000010000100000000000000000000000000000000000000000010000001010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000010000000000010000100000000001001001000000100000000000000000001000000000000010000000000000000000000000000000001000000000000000000101000001000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000100000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000011000010000010000000000000000000000100000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000001010000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000110000000001000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000010000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000010001000000000010000000000000000000000000000000000000000100000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000010100001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000011000000000000000000000000000000000000000000001000000100000000000000000000000000100100000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000001000000000000000000100000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000001000010000000000000000000000000100000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000010000000000100000000000000000000000000010000100000000000101100000000000000000010100000000000001000100000000000000000000001000000001000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000100010000000000000110000000100000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001101000001000000000000000000000100000100000000000000000000000000000000001000000000001000000000000000000000000000000100000000000001000000000010000000000000000000000000000000000000010000000000000000000000000010000000100000010000000001000000000000000000000000000000000000000000000000000000000000010000000000000100000000000100000000010000000000000000000000000000000000000000000100000000000001000000000100001000000000000000000000010100010000000000010100000000000000000000001000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000010000000001000000000000000001000010000000000000000000000000000000000000000000001000000000000000000000000000000000001000010000000000100000000000000000000000000000000000000000000000100010100000000000000000100000000000000000000100000000000000000000000000000000010000000000000010000000000000000000000000000000000001000000000100000000000000000010000000000000000000000000000000010000000000000000000000010000000000000000000000000000000001000000000000000000000001100000000000000001000000000100000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000010000000000000000001000010100000000100000001000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000100000000000000000010000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000001000100000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000001000000000000000001000000010000000001000000000000000000010000010000000000000000000000000000000000000000000000001000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000100000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000010000010100000000000000000001000000000000000000000000000100000000000000000010000000000000000000100000000000000000000000000000000000010000000001000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000001001010010000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100010000100000000000000010000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000010010000000000000100001000000000000000000000000000000000000000000000100000000000000000000000000100010000100000000000000010001000010000000000000000000000000000000000000001000000000000000011001000000000000000000001000000000000000000000000000000000000000000000000000010010010000000000000000000000010000000000000000000001000000000000000001000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100010001000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000100000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000100000000001000000000000000000000000000000000000000000001000000000000000000100000000000110000000000000000000000000000000001000000000000000000000000100000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000100000000100000000000000000000000000000000000000000000000000000100000000001000001000000000000000000000000000000000000000001000000100000000000000000000010000000001100000000001000000010000000010000000000000000000000100000000000000000000000000000000000000001000000001000000000100001100000000000000000000000000000000010001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100010001000010000000000000010000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000010000000000000000100100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000101000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000010000000000000000010000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000001000000000000010000000001000000000000001000000000010001000000010000000000000000001000000000000000000000000000000000000000000011000000000000000000010000000000000000000000001000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000001000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000001000001000000000001000000000000000001000000000010000010000000000100011010000000000000000000000000000000000100000000000000000010000000000000000000100000000000010000000000010000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000001000000100000000000000000000100000000000000100000000000000010000000000000000000000000010000001000000000000010000000000000010000100000000010000000000000000000000001000000000000000000000000000001000000000100000000000010000000000000010000000000000000010000000000000000000000001000000000000000000000100000000000000000000000000000000001110001000000000000000000000010000000000001000000000000000000000000000000000000100000000000000000001010000000000010000000000000000000000000000000000001000000000000000000000010000000000000000000000000000100000000000001000000000000100000000000000000010000000010000000000000000000000000000000000000000000000000000001000000000000000010000001000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100001000000100000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000101000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000110000100000000010100000001000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000100000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000001000100000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000010000000001000000000010000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000110000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000010000000000000000000000000000000000001000000100000001000000000000100000000000000010000000000000000000000010000000100000000000000000000000010000000000000000000000000000000000000000000001000000000000010000000010000000000000000000000000001000100000000000000000000000010100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000001000000000000100001000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000010000000010010000000000000000000000000000000000000001001000000000000001000000000000000000000000100000000000100000010000100000101000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000100000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000100000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000001000000010000000000001000000000000001000000000000000000000000000000000000000000000000000000100010000000000001000001000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000100000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000001000000000000000000000000000000000000001000100000000000100010000000000000000000010001000000000000100000000000000000000000000000001000000000000000100000000000000000000000001100000000000000000000000000000000000000001000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001001000000000000000100000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000010000000000000010000000001000100000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000001000000000000000000001000000000000100000010000000001011000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000001000000000000000000100000000000000000000000010010000000000010000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000001010000001000000000011000000000000000000000000000000000000000101010000000000000000000000000100010010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000100010000000000000000000000000000000000000000000000000000100000000000000000001000000010000000000000000100000000000000001000100000110000000000010000100010000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001010000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000001000000000100000000000001000000000000001000000000000000000000000000001000000000000100000000000000000000100000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000110000000000000000000001000000000100000001000000000000000000000000000100000000000000000100000000000000000000000000000000000000010000000000000000001000000000000010000000000000000000000000100000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000011000000000000000000000000000010000000000000000000000000000000000000000100000100000000000000000000000000000000000000000001000000000000000000000000000000000010000001100000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000010000000000000000100000010000010100000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000100000000000000000000000111000000000000000100000000000000000000000100000000000000000000000000000000000000000000000100000000000100000000000000000000100000000100000000000000000000000000000000000000000000000001000000000000000000000000000001000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000010000010100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000110000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000001000000000000000000000000000010000000000000000000000000000010000000000000000000000000000100000000000000000000100000000000000000000100000000000000001000000000000000000000000000000000000000000010010000000100000000010000000000000000000000000000000000100010000000000000000000000000001100010010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000001000000001000000000000000000000000000000000000000000000000000000001000000000000010000000000010000000000000000000001000000000000000000000000000000000001000000000000000000000100000000100000100000000000000000000000010000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000101000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000100000000100000000000000000000000000000001000001000000100000000000000000000000000000000000100000000000010110000000000000001000000000000000000000001000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010100000001000000000000000000000000001000100000010000000010001000000000000000000000000000000000000000000000000010001000000000000000000001000000000000000000100000011000000000000001000000000000110100000000000000000000000000000000000000000010000000000100000001000000100000000010010000000000000000000000000000000000001000000001000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000010000001100100000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000100000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000100000000000010000000000000000100000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000100000000000000000000000000000000011000000000000000000001001001000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100011000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000010000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000010000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000001000000000010001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000001000000000010000000000000010100000000000000000000000001000000000000100000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000010000000010000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000001000000000000000000000000000000000010000001100000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000100000000010000000000000000000000100000000000000010000000000000010000000001000000000000010000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000100000000010000000000000001000000010000000100000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000001000000000000000000000000000000000000000001000000010000000000000000000100000000000000000000000000000000000000000000001010010000010100000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000100000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000001000000000000000000000000010000000010000000000000100000110000000000000000000000000000000001000010000000000000000000000000000000001000000000000000000000000000000000000000000100000000100000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000101000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000100000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000110000000000000000000000000000100001000010000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000100000000000000010100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000001010000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000001000000000001010010000000000000000000000000000000000000000000000000000001000000000000000000000000000010000010000000000000000000001000000000000011000000000000000000000000000010000000000000000000000111000000000000000000000000000000000000000001000000011000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000001000000000000000000000000001000000000010000000000000000001100000000000011001000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000100000000000000010000000000100000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000001000000000010001000000000000000000000000000000000000000000000000000000000000000000001000000000000010011000001000000000000000000010000010000000001000000000000000000000000000000000000000000000000000010000000000010010000000000000000000000000000000000001000000100000000000000000000000000000100000000000000100000000000000001100000000000000001010000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000100000000000000000001000000000000000000000000100000000000000000100000100000000000000000000000000000000000000000000000000000000000000110000000000100000000000000000000000000000000000000100000000000000000000000000100000000001100000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000001001000000001000000000000010000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000001000000001010000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000010000000000000000000000000001000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000010000000000000001010000000000000000000000000000000000000001000001000000000000000000000000000010000000010000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100010000000000000000010000010000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000010001000000000000000100000001010000000000000000000000001000000000000010000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000100001000010000000000000000000000100110000000000000000000000000000000000000100000001000000000000000000000000000000010000000000000000000000100000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000100001000001000000000000000000000000010000000000000010000010000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100100000000100000000000000000001000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000010000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000001000001000000000001000000000000000000100000000010000000001010000000000000001000000000000000000000000010000000010000000000000000000000000000000000110000000000000000000000000000000100000100100000000000000000000000000000000000000000000000000001000000000000000000000000000100000010101000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001010000000100000000000010000000000000000000000000000000100100000000010010000000000000000000010000000000000000000001000000000000000000100000001000010000000000000000000000000100000000000100000000001000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000101000000110010000000100000000000000000000000000000010000000000000001000000000000000000100000000000000000000000000000000000000000000000001000001000000000000000000000001100000000000001000000000000000000000000000100000001010000000000010000000001000000000000000000000000000000100000000000000000000001000000000000100010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000001100000000000010000010110000000000000000000000000000000000000000000000000000000000000000010001000000000000000001000000000000010000010100000000010000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000100000000000000000000010001000000000000000001000001000000000100010000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000001000000000000000000000001001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000010000000000000000000110000000000000000000000000000010000000000000000000000000001010000000001010000000000000000000000100000000000000000100100000000000010001000000000000100000000000000001000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000010010000000000000000000000000000000000000000000100000010000000000000000000100000000000000000000000000000000000001001000000000000000000000000000010001000000000000000000000010000000000000000100000000000000001010000000010000000000000001000000000000000000000000000000010000000000001000000000000000000000000010010000000000000000000000110000110000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000100000000000000000000000000000000000000000000100100000000000000000000000000000100000001000001000000000000000000000000000000000000000000000100001000000000000000000000000000110101000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000001000000000000000000010000000000010000000000000000000000000010000000000001000000000010000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000010000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000100000010000000000000000000000000000000000000100000000000000000000000010000010000001010000100000000000000000000000000000000000000001000000000000000000000000000000010000000010000000000000000000000000000100000000000001000000000000000000000000000000000000100000000100000000000010000000000101000000000000000000000000000000000000000000000101000010000000000000000100000000000000001000000000000010000000000000000001000000010000100000000000000000000000000000000000000000000100000000000100000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000100001000000000000000000000000000000000000000000000100000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000010000000000001000000000000000000000000001000000000000000000000000000000000000000010000000000000100000000010000000000000000000000001000001000000000000000000000000000000000100000000000010000000000000000000010000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000010000000000000000000000000001010000000000001000000000000100000000000000000000000001000000000100010000000000000100000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000001000000010000000001000010010000000000000000000000000100000000000000000000000100000000000100000000100000000000000000000000100000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000100000000000000000000000000000000011000000000000000000000000000000000000010000000000001000001000100000000000000000000000000000000000100000000000000000000000000000001000000000000000000000100000000000000000000100000000000000000000000000010000011000000001100011000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000100001000000000000000000010000000000100010000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000100000100000000100000010000000000000000000000000000000000000000010000000010000000000000010100000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000010000000000000000100010000000000000000000000000000001000000000000000000000000001000000000010001000000000001000000000000000000000000000000000000001000000010000101000000000000000000010000000000000000000000000000000000001010000000000000000000000000000000000000000000100001000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000001000000000000000010000000000100000000001000100000100000000000000001000000000000000000000000000000000000000000000000010000001000000000001000000000000001100000000000000010000000000000000000000000000000000000000000100000000000000000000000010000000001100000000000000000100100000000000000000000000000001000000000000001000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000100000000100000000100000000000000000000000000000000000000000001000001000001000000000000000000000000001000000000000010100000100000000000000000000000000000000000001000000000000000000010000000000100000000000000000000100000000000000001000000000000010100000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000001010000000000000000000000000000000000000000000100000000000000001000000000000000011000000000000000000000000000000000000000001000000000001000000000000100010000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000010101000000000000000000000010000000000000000000000000000000000000001000000000000100000000000000000000000000100000000000000000010000000000000000000000000000000000010000001000000000010000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000010010000000000000000000000000000000000000000000000000000001100100000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001000010000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000100000010000000000000000000000000100000000010000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000010100000000000000000000000000001010000000000000000000000000000000100000100000000000000000010000000000000000000000000000000000000000000000100100001000100000000000000000100000000010000000000000011000000000000000000000010000000000000000000000110000000000010000000000000000000101000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000100000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100001000000000000000010000000100000000000000000100000000000000000000000000100011000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000001101000000000000000000000000000010000000000000100000000000000000000000000000000000000100000000000010000000001000000000000000000000000000000000000000000000000000100000000100000000000001100000000000000000000000000010000000001000000000000000000001000000010000000000000000000000000100000000000100000000000110000010000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000010000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000001000000000000000000000000000000000000001001000000010000000010000000000000000000000000000000000100000000000000001100000001100000000000000000000000000000000000010000010100000000000000000000100000001000000000000000000001000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000011000000000000000000000001000000100000000000000000000000000000000000000000000000000000000100000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000001100000000100000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000010000000000000000000000000000000000000000000000000000001100000000001000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000100000000000000010000000000110000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000000010001001000000000000000000000000000000000000001000000000000000100000000010000000000000000000000000000000000000000010000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000110000000001000000000000000010010000000000001000000000000000000000000000000100000000000000010000000000000000000000000000000100010000000000000000000000000000000000000000010000000010010000000100010100000000000000000000000000001000000010000000000000000000000000000000000000100000000000000000000000000010000010001000000100000000100000000000000001000000000000000000000000000000000000000000000000000000000000000100000001000000000000010100000000000000000000000000000000000000000000001000000100000000000010001000000000100000010000010000000000000000000000000000000000000000000001000010000000000000000000000001000000000000001000000000000000000000000000000000000000000001000100000001000000000000000000000000000000000000000000100000000000000000000000000000000001000000000010000000000000001000001000000000000100100000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000100010000000000100001000000000100001100000100000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000100000000000000000101000000000000000000000000000000000000000000000000010000000100001000000000000000000000000000000000000000000000000000010000000100000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000110000000001000011000000000000000001001000000000000000000000000100001000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000010100000000100000000000000001000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000100000011000000000000000100100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000001000000010000010000000001000000000000000000010000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000010000000000000000100010010000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000100000100001000001000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100001000000000010000000000000000001000100010000000000000000100000000000100000000000000000000010000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000010010000000000000000000000101001000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000101000000000000000010000110000100001110000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000001001001000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000010000010000000010010000000000010000000110000000000000000000000000100000000000000010000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000001000001000000010000000010000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000010000000000000000000000000110000000000000000000000000000000000000100000000000000000000100000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000010000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000011001000010000000000000000100000000000000000000000000000100000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000001000010001000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000111000000000000000000000000000000000000010000000000000000000000000000000000000100001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000010000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000001000000100000000000000001000000000000000001000000000000000000000000000000100010010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000001000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000010001000010000000000000000000000000000000001000000000000000001000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000100000000000000000000000000100010000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000010010000000000000000001000000000000000100000000000001000100000000000000000001000000000000000000000000010000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000100000000001000000000000000000000000000000000010001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000010100000000100000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000100100001100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010100000000000000000000000000000000000000010000010000000000000000000000000100000000000000001100000000000000000000000000000000000000000000000000000100000000000000000000000100000010000000000000001000000000000000000000000000000000010000000000100000000000000000000000000000000000010000000000000000100000000000100000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000100000000000000001000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000101000010000000010000000100000000000000000000000000010000000000000000000010000000000010010000000001000000000000000000000000000000000000000000000101010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000100000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000001000100000000000000000000000000000010000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000100001000001000000001100000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000100000000001000000010000000010000000000000000000000000000100000000001000000000000000000010000000000000001000010000000000000000000000000000000000000010000000000000000100000000000000000000000000000010000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000010000000000000000000000000000000000000011000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000001000000000001000000000000000000000000000000000000000010000001000000110000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000010000000000000000000010000000000000000000000100000000100000000000000000010000000000000000000001010000000000000000000000000000001000000000000000000000000000000000010000000000000000000000011010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000001000100000000000001000000000010000000010000000000000000000000000000110000000000001000000100000001000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000100100000000000000010000000000000010000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001010000000000000000000000000000000010000000010000000000000000000000000000000000010000000000000000000000010000010000010000000010000001000000000000000000100000000100000000000000000000000000000000000100000010000000000000010000000101000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000100000000010000000000000000001000000000000000000000000000000000000100100000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000001000000000100000000000000000000100000000000000000001000000000000000000000000000000000000000100000000000001000000000000000010000000000000000000000000000000000100000000000100000100000100000000000010001001000100000001000000000000010000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000010000010000000000000001000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000100000000001000000000000001000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000010100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000001000000000000000000000000000010000100010000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100010000100001000000010000001000000000001000000000000000000000000000000000000000000000000000000100000000000010000000000000000001000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000001000000010000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000010000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000010000000100000100000000000000000000000000000000000000000000000000010000100000000000001000000000000000000000000100000000000000000000100000000000000000000000000000001000000000001000010000000000000000000100000000000000000000000000001000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000010000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000001000000001000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000100000100000000001000000000000000000000000000000000000010000010010000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000001000010000000000000000000000000000000000000100000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000010000000000000000000001100000000000000000000000000001100000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000100000000000000000100000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000010000100000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000001000010000000000000010000000000010000000000000000000000000010000000000000000000000001000000000000001000000000000001000000000000000000000010000000000100011000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000100000100100000000000000000000100000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000100000001000110000000000000000000000000000000000000000010000000000000010000000000001000000000001000000000001000000000000000000000000000000000000000000100000000100010000000000000000000000000000000000000000000000001000000000000000000000000000000010000010000000000010000000000000000000000000000001000000000100000000000000000000000000000000000001000000000000000000100000000011000000000000000000000001000000000000000000000000000010010000000000000000010001000001000000000000000000000000000000000000000010000000110000000000000001000000000000000000010000000000000000000000000000000000000010000000000000000000100000000000000000001000000000000000000100000000000000000000000000010010000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000100000000000001000010100000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000001000000000000001010000000101000000000001000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000001000000000000000000000000100010000000000000010000000000000000000000000000001000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000010001000000000000000000000000000000001000000000001000000000000010000000000001000000001000000001000000000000000000000100000000000100000000000000000000000010000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000010000010000000000000000100000000000000000000000100000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000100000000000000100000000000000000000000000000000000000000000000000000000000000000001000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000100000000000000000000000101000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000010000000000001000000001001000000001010000000100000000000100000000000000000000000000000000000000000000000000000110000000000000000000000000010000000000000000001000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100001000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000010011000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000100010000000001000000000000000000000000000000000000001000000000010000000000000000000000000000000000000010000000000000000010100000000100000000000000000000000000000000000000000000000100010000000000000000000000000000000000001000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000010000000000000000000000000000000000000010000000100000000000000000000000000000001000010001000000000000000000100000000000000000000000000001011000000000000000000000000000000000010000001000001000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000001000000010000000000010000000000000000000000000000000000000000000000000100000000000000000000100000000000100000100000000000100000000000000000000000000000000010000000000000000001000000000000000001000000000000000000000000000001000000000000000000000000000000100000100000000000000000000000000000100000010000000000000100000000010000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000010000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000110000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000010000000000000000000000000000000100000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000001001000001000000000000000000000000000110010000000100000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000100000000000000000010000100000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000001010001000000000000000000000000000000000000001000000000000000000000000000000100000000010000000100100000000000000000000100000000000000000000000000010010000000000000000000000000010000000000000000000000000000000000000000000000001000000000000001000000000000000000100000000000000000000000100000000000001000000000000000000000000001000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000010000000000000000000000000000000000000000000000000010000000000001000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100100000000000000000001000001000000000000000000000000000000000000000000000000100000000000100000000000000000000100000010000000000000000000000000000000000000000000000000010000100000000101000000000000000000000000000000000000000010000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010100010000000000000000000000000000000000001000000100000010001000000000000000000000000000100000000000000000000101000000000000000000000000000000000000001000000000000000000000000000000000000110000000000000000000000000000000001000000000010000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000100000001000000000000000100000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000010000001000000000000000000000000000000000000000000000000000100000000001000000000000000000000100000000000000010000000000000000000000000000000100000000010000000000000000001000001000000000000000001000000010000000000000000000001000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000001010001000001000000000000010000010000000000000001000000000000000000000000000000000000000000000000000001000001010000000000000000000000000000000000101000000110000000000100010000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000101100000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000001000000000000000000000110000010000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000010000000000000001000000000000000000000010000000000000000001000000000010000000000000000000000000010000000000000000000000000000000000000000100010000000000000000000010000000000000000000000000000000000000001000010000001000000000000000000000000000000000000000100000000000000100000000000000000000000100000000000000100000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000001000000000000010001000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000010000001000000000000000000000000000000000000100000000000000000000001000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000010000000000000000100000000000010000000000000000000000000000000000000001000000000000000000000010000000000010000000000000000000000000000000100000000000000000000000101000000000000000000000000000000100000000000000000000000100000000000010000000010000000000000000000001000000000000000000100000000000000000000000000100000000000000000000000000001000000001000010000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000001000000001000000000000000000000000000000000000000001000000000010000000000000000000000000000100000000000000000010000000000000010010000000000000000000000000000000000000000100000000000000000000000000000001000100001001000000000000000000000000000000000000000000000000000001010000010000000000000000000000000000000100000000000000000000000010000000000000000000001000010000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110000010000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000010000000000000001000000000000000000010000000000000000000000000000010000000000000000100000000001000000000000000000000000000000000100000000000100000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000011000010000000000000000100000000000100000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000100000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000100000001000010000000000000000000000000100000001000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000010100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000001001000000000000000000000001000100000000000000000000000000000000000000000000000000000000000001100100000000010100000000000000000000000000000000000000000000000000011000000000000000000000001000000000001000000000000000000000000000100000101000000000000000000000000000000001000000000000000000000000000000000010000000000000000000001000000000000000000000000001000000001000000000000000000000000001010000000000000000000000000000000000000100000000000000000000000000000000000101000000000000000000000000010000000000000100010000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000001000000010000000000000010000000000000000000000010000010000000000100000000000000000001000000000000000000010000000000000000010000010000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000010000000001000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000011000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000110000000000000000000000000100000000000000101000000000000000100000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000100000000000000000100000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000010000000000000000001100000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000110000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000010000000010000000000100000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000100000000000000000000000000100000000000010000000000000000000000000001010100000000000000000000100000000100000000010100000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001100000000000010000001000000000000000000000000000000000000000001000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000100000000000000000000001000000001000001000000000000000000010000000000000000000000100000000000000000000000000100000000000000000000000000000000000000010000000000000010000000000000000000000001010000000000000000000000001000000000000001000000001000001101000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000010010000000000000000000000000000000001000000000000000 0000000000000000000000000000000000000000001000000010000000000000000000000000000000000010000000000000000100000000000000001000000000000000000000000000000000000000001000000000000000001000000000000000010000000000000000100000000000000000000000001000000000000000000000000000001000000000000001000000000000010000000000000000000000000001000000000000000000000000000100000000000000010000000000000000010000000010000001100000000000000000000000000000000000000000000000000000000000000000100001000000000000000100000000000000000000000001001001000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000011000000000000000000000000000000000000000000000000000100000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000010000000001000000000101000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000100000010000000000000000000000000001000000000000000000000000000000000001100000000000000000000000000001000000000000000000000000000000010010000001000000000001000000010000010100000000000000000000000000000000000000000000000000001000000000001010100000100000000000000100000000000000000000000000000000000000100000000000000100000000000000000000000000000100000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000001000000000000000000000001000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000001000100000000100000001000001100000000000000000000000000010010000000000000000000000001000000000000000000000000000000000000001000000001000011000010000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000001000000000000001000000100000000000000000000100000000001000000100000000000000000100000000000000100000000000000000001000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000100000000100000001000010010000000000000001000000000000000000000010000100000000100000000000000000000100000000010000000000001000000000000000010000001000000011000000000000000000000000000000100001100000000000000000000100100000000000000100000000000001000000000000000000000000000000000000000000000000000000101000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000001000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000001000000000000000000100000000000000000000000000000000010000000000000000000000000000000000010000000010010000000000000000000000000010010000000000000000000100000000000000000000000000100000000010000000000000000000000000000010000000000000000000000000000001000000000000001000000000000010000000110000000110000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000100000000000000000000000000100000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100010000000000000010000000000000000000000000000000000000000001000000000000000001000000000000000000010100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000010000000000100000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000100000000010000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000001001000000000100000000000000000100000000000010001000000000000001000000000000000000000100000000000000001000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000100000000000000000000000000000001000000100000001000000000000000000000000010000010000000000000000000000000000000000000001000001000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000010000000000000010000000000000000000000001000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000001000000000000000000000001100000000000000000001000010000000000000010000000000000000000000000010000010000000000100000000000000000000000000000000000000000000000000000010000000000000000100000000000100000000100000001000000000100000000010000000010000000000100000000000000000010000000000000000000001000001000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000100100000010000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000100000000000000100000000000000010000000001000000000000000000000000000001000000000100000000000000000000000000000000000001000000010000000000000000011000000000000000000000000000000001000000000000000000000000001000000100000000000100000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000001000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000100000000001000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000001000010000000000000000000000000000000001000000001000000100000000000000000000000000000000000000010000000100000000000000000000000000010000000000000000000000010010000000000000000000000000000000000000000010000000001000000000100000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000100000000000100000000000000010000000000000000000000000001000000000000000000000100000000010000000000000000000000001000000000000000000100000000000000000001000000000000001000000000000000110000100000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000001000000010000000000000000000000010100000000000000100000000000000000000000000000100000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000100000000101000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000100000000000010000000100000000010000001000000000000000000010000000000001000000000000000110000000000010000000000000000000000000000000000000000000000000000010000000001000000000100000000000000000000000000000000000000100000001001000000000000000001000000000000000000001000000000000000000000000000000100000010000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000100000100001000000000000000001000000000000000000000000000000000000000100000000000001000000000000000100000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000101000000000000000000000000000000000000000000010000000100000000100000000000000001000000001000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000001010000000000000000000010000000000000000000000000000000000000100001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000001000001000000000001000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000001000000000000000000000010000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000010000000000000000010000000000000010000100000000000000000100000000000000000100000000010000000000000000100000000000000000000000000000101000000100000000100000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000100000000000000000010000100000000000000000101000000000000000000000000000000010000000010000000000000000000001000000000000000000000000000000000000000000000100000000000000000001000000000000000000100000100000001000000000000000010001000000000000000000000000000000000000001000000001000000000011000000000010000001000000000000000000000000000000010000000000011000000000001000000000000000010000000000000000000000010001001100000001001000000000000001000000000000000000001000000000000000000000100000000000000000000000000001000000000000000000000010000000000000000000001000000000000000000000001000000000010010000000000000000100000000000000000000001000000000000010010000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000001000000000000000000000001000000000000000000000000000000000010000000000000000000000000000001100000001000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000001000000000000000000010010000000000000000001000111000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000001000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000001100000000000000000000000100000000000000000000001000000000000000001000000000000100000100000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000001010000000100000000000000000000000000000000000001000000001000000000000000000000000000000100100000000000000000010001010000000000000010000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010010100000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010010010011000000000000000000000000000000000000000000000000000000000101100000000000000000000000000000000000000000000000010000000000000000000000000000000000001010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000010000000000000000000100000100000000000000000010000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000001000000000100000000010000010000000000000010000000000000000000000000000010000000010000000000000000000000001000000000000000000000010000000000000000000001000000000100000000000000000000000100000000010000000000000000000100000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000010000000000000000000100100000000000001000001000100000000000000000000000000000000000000000000000000000000010000000100010000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000100000100000000000000001000000000000000000000001100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000010010010000100000000000000000001000100000000000000000000000000001000000000000000000000000000001000000000000100000000000000000000010000000000000000000001001001001000000000000000000000010000000000100000000100000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000100000011000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000001001001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010010000000000000000000000000000001000000000000000000000100000000001100001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000001000000000000000000000000000000000000000100000000000000010000010000001000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000001000100000000000000010000000000000000100000000000000000100000000000000000001000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000100000000000001000100000000010000000000000000000000000000000000100000000000000010000000000000000000000000000000010000100000001000000000000000000000000000000000000000000000000001000000001000000000001000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000101000100000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000010000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100001000000010000100000001000000010001000000000100000010000100000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100001100000000000000000000000000000000000000001000010000000000000000000000000100000100000000000000000000000000000000000000000000000001000000000000001000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000100000001000100010001000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000010000000000000001000000000000100000000000000000000000000001001000100000010010000000000000000000000001000001000000000000000010000000000000000000000000000000000000000000000000001000000001000000000000000010000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000010000000000000100000000000000001000000000000000000000000010000000101000000000000000000000000000000000000000000100000000000000000010000000100000000010000000000000000000000000000000000000001000010000000000000000100000000000000000010000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001001001100000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000100000100000000000000000000000010000100000000010000000000000100000001000000010000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000010000000000000000001000000000010000000000000010000000000001000000000000000000000000000000000000100010000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000001010000010100001000000000000001000100010000100100000000010000000001000100000000000000000000000100000000010000000100000000000000000000000000000000001000000000000000000000010000000001000000011100000000001000000001010000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000100000000001000000000000000000000000000000000010000000000000000000001000100100000000000001000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000001000100000000000010000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000010000000000000000000000000011000000000000000000001000000000000000000000000000000000000000000000000010100000000000000000000100000000000000000010000000000000000000000010000000000000000000010000000000000000000010000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000100000000001101010000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000100000000000100000000000001000000000100000000000000000000000000000000001001000000010000100000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000100100000000000000000000000000000000000000000000000000001000000000000000000000101000000000000000000000000100000010000000000000000000000000000000000100000010011000010000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000001001000000000001000000000000010000000000000000000000000000000000010000000000000000100000001000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000110000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001010000000000000001000000000000000000010000000000000000000000000100000000000000000000000000000001000000000000000001000000000000000000000000010000000000000000000000000100000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000010000000000100000000000000000000001000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000010000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000100001001000000000000100000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000010001000000000000000000100010000000101000000000000000000000000000000000001000000010000000010000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000100000000000000000000010000000000000000000001000100000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000001000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000101010000000000000000110000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000010000001000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000010000000000000000000000000000000000000000000000000000010010000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000100001100000000000000000000100000000000000000000000100000000000000000010000000000000000000000000001000000000000000001010001000000000000000000000000000010000000000100000000000000000000000000010010000010000000000000000000000000000000000001000000000000000000000000100000000100000000001000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000100000000000000000000000000000000000000000000000000000000000000000100000000000001001101000000010000010000000000000000000000000000000000000000000000000110000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000010000100000000000000000000100000000000010000001000000000000000000000000000000100000000000000000000000010000000000000000100000000000000000000000000000000000010000000000000000000010000000000000000000000000010000000000000000000000100000000000000000000000000000001000000000000000010000000000000000000010000000001000000000000000001000000000000000000000000000000000001000000000000000000000000000000010100000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000100000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000010000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100010000000000000010000000001000000000000000000100000000000000000000010000000000000000000010000000000000000000100000000000000000001000000000000000100000010000000000000000010100001000001000000000100000000100000100000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000100000000000000000001000000010000000000000000000000000000000000000000000010010100000000000010000000000000100000000010000000000000000000100010000000000000000000000000100100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000001000000010000000000000000000000000000001100000000010000010010000010000000001000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000001000000000100010100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000100000000000100000000001000000000000000000000000000000000000100000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000010001000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000100000000000000000000000000000000000000000000010000000000000000000000000000001010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000100000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000010001000000000000000000000000000000000000000000000001000000000000000000000000000000000100000001000000100000000001100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000100000000000100001000000000010000000000000000000000000000001000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000011000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000100000000000000000000010101000000000001000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000010000000000000100000000000000100000010000100000000000000010000000000100100000001000000000000000100000000000000000000100000000000000000100000000000000000000000000000000001000000000101000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000010000000000101000000000000000000000000100000100000000000000000000001000000001000000000000000000000000000010000000000000001000010000000000000000000000000000000000000000000000000000000000000100000000000000011000000000000000000010000000000000000000101000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000010000000000000000000000010000000000000000000000010000001000000010000000000000010000000000000000000000000000001000000000000000000000010000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000100000000000000010100000100000000001000100000000000001000000000000001000010000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000100000000000000000000100100001000000000010000000100000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000001000000000100000001000000000010000000000000000000000000000000000000000000000000000000000000000100000000000001000010000000000000000000000000000000000000000000000000000000000000000000010000011000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000101100010000100000000010010000000000000100000000000000000000000000000100000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000100100000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100100000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000000010011100000000000110000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000100000001000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100101000000000000000000000000100000000000000000000000100000010000000000000000000000000000000000000000010000001000000000000000000000000000000100000000000100000000000000000000000000100000000000000000000000000000000000000000000000000010000010000000000000000100000000000000000000000100000000000010000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000001000000000100000000000000000000000000000000100000000000000000000000100000001000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000010010000000000000000010000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000010000001000000000000000000000000000000000001000000000100000100000000000000000000000000000000000100000001000100000000000000000000000010100000000000000000000000000000000011000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000100000000001000000000000000000000000100000000000000000000000000000000010000000000000010001000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000010000000100000000000000000000000000000000000000000000000000000010000000000010000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000001000010000000000000010000000000000001000000001000000000000100000000000000000010000000000000000000000000000010000000000010000000000000000000100100000000000000000010100000000010000000000000100000000000000000000000000000000000010000000000000000000001000000100000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000100000100000000010000100000000000000000000000000001000000000000000000000000000000010000000001110000000000000011000000000000000000000000000000000010010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000001000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000001100100000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000110000000000000000000000000000000000100000000011000000000000000000000000000000000000000000000000000000000001000010000000100000000000000000000000000000000000000000000000000100010000000100000000000000000000000000000000000000000000000000100000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010001100000000010000000000000000000000000000000000100000000000000000000000000000000000000100000000000000010000000000000000001100000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000010000000010100100000000100000000000000000000000000000000000000000000000000000001000000000100000000001000000000000000100000010000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000001000100000000000000000001000000000100000000000000000000000000010000000000000000000000000000000000000000000001000000001000000000000010000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010100000000000000000000000000000000000000000100000000000000000110000000000000000100001000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000100000000000000000010000000010000000000000000000000000000000100000000000000000000000000000001000000000000010000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000010000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000010000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000001000001000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000001000000001100000000010000000000000000000000000000000000000000000010000000000000000000000000000000000001000000010000000000000000000100000000000000000000000000000100000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000001000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000001000000000000100000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000100000000000000000000000000000000001100001000010000010000000000000000000000001000000000000000000000000000000000000000000000001000000000100000000000000000000000000000001000000000000000000000100000010000000000010000000000000000000000000000000000000101000000000000001000000000000000000000000000000000000000100000000001000000000000000000000000001000000000000000000000000000001000000000000010000010001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001001000000100000100000001000000000000000001001000000000010000000000000100000100000000000010010000000000000000000000100000000000000000000000000000000000001000000000000000000010010000000000000000000000000000000000000100010000010000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000100000000000000000010000000000000000010000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000001000000000000000000001000000000100001000000000000000000000000010000000000000000000000100000000000000000010000000000000000000000000000000100000001000001010000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000100000000010100000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000010000000001000110000000000000000000010000000000000100000000000000000000000000000000000010000000000100010000000000001000000000000000000000000000000010000000000000001000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000010000000000001000000011000000000000000000000000000010000000000000000000000000000000000000000000100001000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001001000000000000010000000000000000000000000000000000000000000000000000000010000000000000000100000000000100000000000000000000000010000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000010000000010000000010000000000000000000000000000000000000100000000000000000100000000000000000000000000000010001000001001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000100000010000000000010010000000000000000000001000000100000000000000000000000000100000000000000000000000000000001000000000001000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000010000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000100000100000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000100000000000000001000000000000000000000000000000000100000000000000000000000000000000000000001000000100100000000000100000000000000000000000000000000010000000000000010000000001001000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000100000000000010000001000000000000000000001000000000000001000000000000000100000000000000000000010000000000010000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000001000000000000000000000000010000000000000000100000000000000000110000000000000000001000000000000000000000000001000000000000000010000000010000000000000000010000000000000000000000000000001010000000010000000100000000000000000000000000000000000000001000000000000000000000000000000001000010000001000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000001000011000000000001000000000000000000000000000000000000000000001000000000000000001001000100000000000000100010000000000001000000000000000000000000000000000000000000000000000000000001000000110000000000000000000000100000001000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000011000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000100000100000000000000000010000000000000000000000100000000000000010010000000000000000000001000000000000000100000100000010000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000100000100000000000000000000100000001000001010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001100000000000000000000000000000000100001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000100000000000000000000000000001100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000101100000000000000000000000000000000000000010000000000000000000000100000010000000000000001000000000000000000000010000000000000000000000000000010000000010000000000010100000100000000100000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000100000000000000001000000000000000000011100000010000100100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000100000000000010000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000001000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000010000000000000000000000000000100001000000000100000000000000100000010000000000000000000000000000000000100000000010000000100000000000000000000100000000000000000001000000000000000001100000100000000000000000000000000000010000000000000100000000000000000000100000000000000000000000000000001000000000000000000000000001000000000000010000000000000000000000000100000000000000000000000000000000001000000000000000000100000000000000000010000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000001000000000000000001000000000000000100000000000000000000100000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000100000000000000000000000000000000000000000000000000100100000000000000000000000000000000001000000000000000001000000000000001000000000000000000000000000000000000110000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000010001000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000100000000000000000000000000000010000000000001000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000001000100000100010000000000000000000000000010000000000000001000000000000000100000000010000000000000000000000000000000000000000010001000000000000000000000001000000100000000000000000000000000000001000000000000000000000010000000010000000000000000000000000001100000000000000000010100000000000000010000000000000000000000000000000001000001000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000010000000000001000000000000000000000000000000000001000001000000000000000000000000000000000000100000000100001000001000000000000000000000010010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000010000000000000000000010000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000100000000000000000000000000000000000100010000100000000000010000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000100000010000000000000000000000000000000100000000000000000000000000000000000000000000001000000000001000000000011000000000000000010000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000010000010000000001000000000000000001000000000000100000000000000000000000000000000100100000000000000000010000001000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000010000000001001000000000000000000000010000000000000000000000000000000000000110000000000000000000000000000000000000000010110000000100000000100000000000000000000000000000000000000000000000000000000000000000000010001000010000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000110000000000000001000010000000000000000000101001000000000000000000000000000000000000000000000000000101000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000010000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000100000100000000000000000000000000000011000000000000000100000000000000000000000001010001000000010000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000100000000000000100000000000010000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000010000000000000100000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000010001010000000000000000000010000000000000100000000000000001001000100000100000000000000010000000000010000000000000000000000000000010100000000000010000000000000000100000000000000000001000000000001000000000000000000010000010000000100000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000010000000000000000000001000000000001010000000000010000000010000000000001000000000000000000000000000000000000000010000000000001000000000000010000000000010000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000100000000000000001000000000100000000000000000000010000100000000000000001001000000000000000000000000000000000010000000000000100000000000001100000000000000000000011000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000001000000000000000000100000100000000000000000000000100000000000000000010000000000000000000000010000000000000100000000000000000000100101000010100010000000010000000000000001000000000000000000000000000000000000000100000000000000000001000000000000100000000000000000000000000000000000000000000000000110000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000001000010000000000000000000000000000000001000000000000100000000100000000000000000000000000000000000100000000000000000000000000010100000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000100000000000000010001000000000000000000000000000000000000100000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000110000001000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000100001000000001000000000000000010000000000000000000000000000000000000000000000000000000100000000000010000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000001010000000000000000001000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000001100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000010001000000000000000100000000000000000000000000100001000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000010010000000000000000000000000000010100000100000000000000000000001000000000010000000000000001000000000000000000000000000000000000010000000000000000010000000000000000010000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000110000000000000000000000000000000000000000000000000000100000000011000000000010000001010000000000000000000010000000010000000000000000000000000100000100000000000100000000000000000000000000000000001000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001011000000010000000000000000000000000000000000000100000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000110000000001000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000010000000001000000000000000000000000000110000000000000000000000000000000000010000010000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000100000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001011000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000010100000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000010100000000000000000000100000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000001100000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000110000000000100000000000000000000000000000001000000000000000000000000000001000000000100000000101000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000010010000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000010000000000100000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000010000000000000100000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000001000000000100000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000100000000000010000000100001000000000001010000000000000000000100000000110000010000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000001000000000000000000000001000000000000000000000000000000000000000100000000000000000000100001000000000000000010000000000000000000000010000000000000000000000000000010000000000000000000000100000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000010001000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000100000000000000010010000000000000000000000000000000000000000000010000000001000000000000000000000000000000010000000010000000000000000000000000000000000000000010000000110000000000000010000100010000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000010000000100000000001000001000000000000000000000000000100000000000000000000010100000001000000000000001000010000000001000000000000001000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000010000000000000100100000000000000001000100000000000000000000010100000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000100001000000000000000000000000000100000000000000000010000000000000000000100000000000000100000010000000000000000000000000000000010000000000000001000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000101000000000000000000000000000100000000000000000100000000000000100000000000000000000000000000000000000110000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000100000000000000000000000000000100000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000011000000000000000000000010000000000010000000100000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100001010000001000000000010000000000000000000010000000000000000000000000000001000000000000000000000000100000000000000001000000001000000000000000000000000000000000000000001000000000010100000000000000000000100000000110000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001010000000000000001000000000000000000000000000000000000000000000001000000000100000100000000000000000000000010100000000000000000000000000000000000000000000000010000000010010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000110010000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000110000000000000001000100000000000000000001000000000000000000000000001000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000001000000000010000000000000000000000000001000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000001000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000001000010000000000100000000000000000000000010100000000000000000000000001000000000000000000000000000010100000000000000000000000000000000001000010000000100000000000000000000000100000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000010000000000000000000000000001000010000000000000000000000000000100000000000000000000000000000000100100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000010101000000000000000001000000100010000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000001000000000000000011000000000000000000000001000010000010000000000000100000000001000000000000000000000000000010000010000000000000000100000000000000100000100000000000000000000000000000000000000000100100000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000001000010000000000000000000000000001000000000000000000000001000100001000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000001000000010000000000010001000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000010000000000100100000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000100000000000000000000001000000000000100000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010101001011010000000000000000000000000010000000000000010001000000000000000000010000000000000000000000000000000000000000000001000000000000000100000000100000000000000000010000000000000000100000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000010001000000000001000000000000000000000000000000000001000000111000000000000100000000000000000000000000000100100000001000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000001100000000000000000000000000000000000000000001000001000000000100100000000000000000000000000000000000001000000000010001000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000100000000100000000000000000000000000000000000000000000000000000000100000000000100000000000010000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000001000000100000000000000000000000000010000000000010000000000000000000000100000000000000000000100100001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010010000000000000010000000000000000000000000010010000000001000000000000000000010000010000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000010000000000000001000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000100000100000000000000000000000000001000000000000000010000000000100000000000000000000000000000000100100000000000000001000000100000000001100001100001000000000000000000000000000000001000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000100100000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000010000000000000000000000000000000000000000000100000000000000000000100100000100100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010101010000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000010000000000000001000000000100000010000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000001010000000000000000000000000000000000000010000000000000000000000000000000000000000000001001000000000100000000000000000000000000001000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000100001000000000100000000000000000000000000000000000000010000010000010000000000000000010000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000010000000000000000010000000000000000000100000000000000000000000000001000000000000000000000000000101000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000100000000010000000000000110000000000000010001001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000001000000000000000000100000000000100000000000000000000010000000000110000000000000000000000000000000010000000101000000000000000000000000000000000001000010000000000000000010000000000000000000000000000000000100000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000100000000000010000000000000000000000000000000000011000000000000001000000100000000000100000000100000000011000000000000000000010000000100000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000010000000010000000000001100000000000000000000110000000000000000100000000000000000000000000000000000100000001100000000000001000010000000000000000000000100000000000000000000000000000000000000000100000000000000000000000001000000010000000000000000000000100000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000001000000001000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000010000000000000000100000000000000000000000000000001000000000000000000000000000000000000000100100000000000000000000000100000000000000000000000100000000100010000110000010000000000001000000100000000000000010000000000000000000000000000010000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000001000000000000000000000000000000000100000000000001000010000000001000001000000000000100000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000011000000000000000000000100000000000000000000000000000100000000000000000000000000000000100000100000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000001000010000000000000000000000001000000000000000001000000000000000000000000000000000000000100000000000100000000000000000000000000010000000010000000001000000100000100000000000000000000100000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000011000000000000001000000000000000000000000000000000000010000101010000100000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000001000000000000000000000000000000000000000000000001100000000000000000000000000000000000001000000000000000000000010000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000100000000000000000000000000000000000001000000000000000010010000000000000000000000000000000000000000000001000100000000000100000000000000000000000000001000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000010000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000010000100000000000000000010000000000000010000000000000000000000010000000000000000000001000000000010000000000000000010000000000100000000000000101000000000000010000000000000000000000000001000000000100000000000000000000000000000000000000100000100010000000000000000010000000000000000000000001000000000000000000000000000000000000000000100000000000000000000100000000000000000001000000000000000000000000000000001000000001000000000000000000000000010100001000000000000001000000000000000000100000000000000001010000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001100100000000000010000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010001000000000000000000000000001000000000000100000000001000000000000000011000000000000000000000001000000000000000010000000000000010001000000000000000000000000001000000000000000010000000000010000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000011000000000000000000000000000000010000010000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000010000000000010010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000110000000000000000000101000000000000000000000000001000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000010001100000000000000000000000000000000000100000000000000000000000001000000000000000000000001000000001000000000000000000000000000000010100000000000000000000000000000000000000010000000000000001000000000001000000010001000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000010000000001000000000000000000100000000100000010000000010000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001000000001100000000000000000000000000000000100000100000000000000000000001001000010100000000000000000010000000100001000000000000000000000000000000000001000000000000000000000001001000010000000000000011000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000100000000000000010000000000000000100000100000000000000000000000000000000000000000010000000000010000000000000000000000000000000000001000000010000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000011000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000101000000000000000000000000000000000000100001000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000001100000000000001000101000000000000000000000000000000000000001000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000001000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000010000000000000000000000000000000000000100000100000000000001000000000000000000000000000000100000000000000000000000000000000000000000100100000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000100000000000000000000000000000000000000000010010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000001010000000000000000000010000000000001000000000000000000000000000000000010000000001000000000000000001000000000000010100000100000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000010000000010000000000000000000000000000001000000001000000000000000000001010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000010000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000010000000000000000000000000010000000000100001000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000010000000010000001000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000010000000000000000000000000001010000000000010000000000000000000000000000000100000100000100000010000000000000000000000000000010100000000000100000000010000000000000000000000000001000000000000000010000010000000001000000000000000000000000000000000000000000000000010000000000001100000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000100000000000000000000000000000000000100100001000000000000000000000000000000000000000100000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000010000000000000000000000000100001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000001000000001100000000000000011000000001000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000100000000000000000000000000000000000000000000000100000000000000000000001000010010000000000000010000000001000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000001000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001100000001000000000000000001000001000000000000001000000100000000000000000000000000100000000000001001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000100000010000000000000000000000000000000000000000000000000000101000000010000100000010000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000010000000000000000000000000000000000000000000001000010000100000000000000000000000000000000000000000000000000000001001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000100010000000000000000000000000000000000010000000100000000000000000000000100000000000000000000000001000000000000100100000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000010101000010000000000000000000000000001000000010000010000000100010000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000001000100100000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000010100001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000100000000000010000001000000000000000000000000000000000000011000000000000100100000000000000000000000001000000000000000000000000000000000010001000100000000000000000100000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000010000000000100000000000000000000000000000000000000000000101000000100000000000000000000100000000010000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000100000000000000000000000000000000000000000000000000000000000000100000010000000000000000100000000000000000000000000000000000000000101010000000000000000000000000000000000000000000000001000001000001010000000000001000010000000110000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000100000000000000100000000000000000000000000010000000000100000000000000000000000000000000000000001000000000000000100000000000001000000000000000000000000000000000000000000000000000001000000000010000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000100000000000000000000000000000000000000000001000000000000000000000010000000000000000000100000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000011000000100000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000100000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000010000000000000000000000000000000000000000000000100000000000010000000000000000000000100000000000000000000000001000000000000000000000000010000000000000000000000100000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000001010000000000000000000000000000000000000001000000000000000000000000001000000000000010000000000001000000000000000000000000000000000100000001000000001000000000000000000000000000000000000000000000000000000000000000000000010000000011000000000000000000100000000000010000000000000000100000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100010000000000000000001000000001000000000010001000000000001000000000000000000000000000000000000000000100000000000000010000000000000010010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000001000100000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000010000010000000000000000000000000000000000000010000000000000000000000000000000010000000000000010000000000010000000000000000000000000001000000000000000010000000000000000000000000000000001000000000000000001000100000000000001000000000000000000000100000001000000000100000001000000000000000000000000000001000000000001000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000001000000000001000000000000000000000000000000000000001001000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000011000000000000000000000000000000000000001001000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000010000000000000001000000000000001000000000000100000000000000000000000000000000000000000000001001000010001100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000100000000000001000000000000000000000001000000000000000000010000100000010000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000010100000000010000100000000000010000000000000000000000000000000000000000000000000001000000000100000000000000010000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000001001000000000000010000000000000000100100000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000101000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000001000100000000000100000000010000000000000000000001000000000000000000000010000000000000010000000000000000000001001000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000010000000000000000000000000000000000001010100000000010000000000000000000000000000000000000000000110000000001000000000000000000000101000000000100010000000000000000010000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000100001000000000000001000000000000000000000000000000000000000000000000000000000000101010000000000010000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000010000000000010101000010000001000000000000000000000000000000000000000100000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000101000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000101000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000001000010000010000000000000000000000000000000000000101000000000000000010000000001000010000000000000000000000100000000000000000000000000000000100100000000000000000010000000000000000000000000000000000000000000000000000100000000000000001100000000000000000000000100010000000000000000000000000000000000010000000000000000010000000000010101000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000010000000000100000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000001000000000000000000000000000000000010000000010000000000000000000010000000000000000000000000000000000001000001000000010100010000000000000000000000000000010010000010000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000010001000010000000001000000000000000000000000100000100100000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000100000001000000000000000000000000010000000000000000000010000010000000000000000000000000111000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000100010000000000000000001000100000000000000000010000000000000000000000000000000000000000000100000000000110000000000000010000000000000000010000000000000000000000000000000000000000000000000010000000000000011000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100001000000000000000100001000000000000000000001000000000000000000000000000000000000000000000001000000010000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000100000100000000010000000000000000000000000000100100111000000010000000000000000000000100000000000000000000000000000000000000000101000000010000100000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000010000000000000000000000000001000000010000000000000100000000000000000010000000001000000000000010000100000000000010000010000000000000000000000000000000000001000000000001000000000001010000000001100000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000010010000000000000000000000000100000000000000000000000000000000000000000000000000000000001010000000000000000000000000000010001000001000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000010000000000000000000001000010000000000010001000000010000000000000000100000000100000000110000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000001000000000000000000000000000000000000000000000010000000010001000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000010100010000000000000000000000000000000000000000000000000000000000010000000100000000100000000000000000000000000000000000000001000001000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000 0000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000010010000000000000010000000000000000000000000001000001000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000100100000000000000000000001000000000000000000000100000000000000100000000000000000000000000000000001000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001010011000000100000000000000000000000000001000000000000001000000000000000010000000001001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000001000000000000000000000000000000000100000000000000000000000010000000000000000000000100100000000000000000000000000000000000000000000000000000100000010000000000100000000000000000000000000000000000000000001000000000000011000000000000000000000100000000000000000001010000000000000000000000000000000011000000000000000000000000100000010000000000000000000000000001000000000000000000000000001000010000000000000100000000000001000000010000000000000000001000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000100000000000010000010000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000101000001000000000000001000000000000000000001000100000000000000000000000000110100000000000000000000000000000000000000000000000000000000000010000000000000001000000000000100000000000000000000000000001000000000000000000010000000000000000000001000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000001000000100000001000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000010000000000000000010000000000000000100010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000010011000000000000000000000000000100000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000100000000100000001000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000100000001000000000100000000000010000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000010000000000000000000000001000001100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000001000000000101000100000000000000000000000000100000000000000000100000000000010000000000000000001000000000000000000000000000000000000000100000000010000010000000000000000000000000000010000000000000000000000000010000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000010000000010001000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000001000000000000000000000000000000000000000000000000010000010000100000000000000000000000000000000000000000000000100000000000000000000000000000000001010000000010000000000000001000000000000000000000000000000000000000000000000000000000000000101000001000000000000000000000000000000100000000000010000001000000000000100000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000010100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000100000000000000000000000000001000000000000000000100000000000000010000000000000100000000000000000100000000000000000000000000000001000000000000000000000000000000000100000000010000000000000100000000000000000000000000000000000000000000001100000000000000000000000000000000000010000010000000000000000010000000000000000000100000000000000000000000000010010010000000000000100010000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000010000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000100000100000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000001000000000000000000000000000000100000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000100000000100100010000001000000000000000001000000000000100000000000100000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000010010000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001011000000100000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000001000000000000100000000001000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000010000001000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000010000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000100001000001000000000000000000000000100000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000100000000100000000000010000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000100000000000000000100000000010000000100000000000000010000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000100000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000100000000000000000000010010000000000100000000000001000000000000000000000000000000000001000000000101000000000000000000000000000000010000000000000000000000000000000000000000001000000100000000000000100000010000000001000000000000000000000000000000000000000000000000000010001000000100000000000000000000000000000000010000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000010001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010010000000000001000000000000100000000000000000000000000000000000000000010000010100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000010000000100000000000000001000010000000001000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000001000010100000000100000000000000000000000000000000000000000000000000001000100000000001000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000010000000000000100000000101000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000100001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001100000000000000000000000000000000000000001010000001000000000000000000000000000000001100000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000001000001000000000000000000000000000100000000000000000000001100110000000100000000001000000000000000000000001000000000000000000000000000000000000000000000000000000001000100000000000000000000000000010000000010000000000000000000000000000001000000000100000000000000000000000000100000000000001000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000001000000000000100100000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000101100000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000100000000000000000000000000000000100000000000000000000001000010010100000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000001100000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000101000010000000100100000000000000010000000000000000000001000001000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010100001000000000000000001000000000000000001000000000000000001001001000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000010000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000100000000000010010000000000000000100000000100000000000010000000000000000000001000000000000000000000000000000000000100000000100000000001000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000100000000001000000000000000000000000000010100001000100000000000000000100000000000000000000000010000100010000000000000000000000000000000000000000100000000010000000000000000000000000010000000100000000000000000000000000000001000000000000000000000000000000100000000000000001000010000000000000100000000000000000000000000100000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000001000000000000000000100000000000000010000001000000000000000000000000000001000000000000000010000000010000000000000000000000000000001000000000000000001000000000010000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000001000000000000000000000001000000000000000000000000000010000001000000000000000000100000000000000000000010000010000000000000000010000000000000010000000001000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000010000001000000000000000000000000001000000000000000000000000000000000000010000000000000010000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000010000100000000000010000000000000000000100000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000100000000000000000000000000100000001010000000000000000000000000000000000000000000000110000000000000010000000000000000100000000001000000000000000000000010000000110001000000100000000000000000000100000000001000000000000000000011000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000001001000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000001000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000010000101000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000110000001000000000000000000100000000000000000000000000000000000000000010100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000001000000001000000000000000010000000000000000000100000000000000000000001001010000000001000000000000000000000000000000000000000000000000000000000000000001001000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010010000000000000000000000000000000000010000000000000000000000000000010001000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000010000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000100000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000001000000000000000000000010000000000000000000000010000000000000000000000000000000010000000000000000000001000000000100000000000000000000000000000000011000000001000000001001000000000000000000000000000000000000000001000000000000010000000000000000000000000000001000000000000000000010011000001100000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000010000000000000000000000000000000001000100000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000100010000000000001000100000000000000000000000000000000000000000000000001001000000000000100000000000001000000000000000000000000000000000000010000010000000000000000010000000000000000000000001010000000000000000000000000001000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010001000001000000000000001000000100000100000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000110000000100000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000010010000000000000000000000000000000010000000000000000000000010000010000011000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000001001000000000000000000000000000000000000100010001000101000000000010000000000000000000000000000000001000000000000000000000001000000000000000000001000000000000000000000000001000000000000100000000000000010001000000000000000000000000000000000000000001000000000000000100000000001000011000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000010000001000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000001000000000000000000001000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000100000000000100001000000000000000000000000000000000000000000000100000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000101000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000100000000000001000000000000001000000000000000000000000000000000000000100000000000000000000010000000000000001000000000000000000000000000000000000010000000000000000000000000100000000000000000010100000000000000000000000000000000001000000000000000000000000000000000000010000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010010000000000000000000000000000000000000000001000010000000001000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000001100000100000000000010000000100010000000000000000000000100000000000000000100000000000000000000000000000100000000000011000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000010000000001000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000110000000000100000001001000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000100000000000000000001000000100000000000000100000000000001000000000000010000000000001000000000000000000000100000000000000001001000001000000000000001100000000000000011000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000010000000000000000000000000000000001000000000000000000100000000000000010000000001000000010000000000000000000100000000000000000000000000000010000000000000000000000000000000000010000000000100000000000000000000000100000000000000000000000000000000000100000000000010000000000000000000000000010000000000000000000000000000010000000000010000000000000000000010000000000010000000000000100100000000000000000000000001000010000010010000000000000000000000000000010000000000000000001000000000000000000010000100000000110000000000000000100000000000000000000000000000000100000000000000000010000010000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000010000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010001000000000100000000000000000000000001000000001000000000000000000001100000000000000000000000000000000000000000000001000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000010000000000110000000000000000001000000000000001000000000000000000000000100000000000101000000000000000000000000100100000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000010000100000000001000000000000000100000000000000010000000000000000000000001000000100010000000000000000000000100000000000000000000000010000000000000000000001000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000001000000000000000000010000000000000000000000000000001001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000010000000000000001001000000000000000000000000000000100011000000000000000000000001000101000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000010010000010000000000000000000000000000000010000000000000000000000000001000000000000000000000000000010000000101000000000100000000000000010001000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000010000000001000000000000000000000000000001000000000000000000000000001000000000000101000000000000000000000010000000000000000000000100000001000000000000000000000000000000000000000000000000000000000100000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000100000000000001000000010000000000000000000000000000000001000000000000000000001000000000000000000000000001000000100000000000000000000000000000010000000000000000000000010000000000000000000000010010001000000010000000000000000000000000000010000000000000000000000000000000000010000000000100000000000000000000000100000000000000000000000000010000000000000001100000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000011000001000000000000000000000100000000000000001000000000000000000000000000000000010000000000000010000000000000000000010001000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000010000000000000000000010000000000000000000000000000000000001100010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000011000000000010000000100000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000010000000100010000100000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001001000000010000000000000000000000000010000000000000001000100000000000100000000000000100000000000000000010000100000000000000000000000000000000100000001001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000001000000000010000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000010000000000000001000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000101000010000000000000000000000000000000000000000100000000000001000000000010000000000000000000000100011000000010000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000011000000000100000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000001000000000000000000000000000000000001000001000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000001000000000001000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000010000001000000010000000000000000000000000000010000100000000000001000000000010000000000000000000000000000000000000010000000000001000000000100000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000010000100000000000000000000000000100000000000000000000000000000000000110000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000010000000000000010001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000100000000000000000000000000001000000000000000000001000000000000000000000000000001000000011000000000010000100000000000000000000000100000000000000000000000001000000100000000100000000000100000000000001000001000000000001000000000000000000000000000000110000000000000000000010010000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000001100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000001101001000000000000000000000000000000000000100000000001000001100000000000000000101000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000001000000000000000000000000000001000000001000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000010000000000010000001001000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000100000000000000001000000000000000000000000100000010000000000000000001000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010001000000000000000000100000000000000000000000000001000100000000001000000000000100000100000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000001000000000010100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000011000000100000001000001000000000100000000000000000000000000010000000000000000000010010000000000000000000000011000000000000000000000010000000000000000000000010000000000000010000100010000000000000010000000001000000000000001000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000101000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000010000000000010000000000000000000000000000000000000000000000000000010000000000000001010000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000100001000000000010000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000110000000000000000000000000000000000000000000000000000000100000000000000100000000000000000101000000000000000000000000000000000000000010000000000000000000000010000000000000000000000100000000000000101000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010100000000000000000100000000000000001010000000000000000000000000001000000000000000000000000000000000000000000100100000000000000001000000000001000000000001000000000000000000010000000000000000000000000000000001000000000000000000000000000000100001000000000000000000100000000000000000000000010000000000000010000000000000000000000000000000010000000010000010000000001000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000110000000000001000000000000000000000110000000000000000000000000000000000110000000000000000000000011000001000001000000000000100000100000000000000000000000000000000000000110000000000000000000000000000000000010000000000100000000000010000000000000000000000000010000001001010000000000000000000000000000000000000000000110000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000001000000000000000000100000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000001000010000000000000000000000000001000000000000000000000000100000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000100100000000100000100000010010000000000000000000010000000000000000100000000000000110000000000000000000000000000000000000000000000000000000000100000000000010010000000000000000000000000100000000010000000000000000000000000000000000000000010000000000010000000000000000000000000000001100000000010000000000000000000000000000000000110000000000000001000000000000100000000000011000010000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000010000001000000000000000000000000000010000000100000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000001000000000000000011000000000000000000001000000100100000000000000000000000000000000001000000000000000000000000001000000000000000000001000000000000000000000000000000010000000000000000000000101000000000000000000000000000000000100000100000000000000000001000100000000000000000100000000000000000011000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100001000000000000000000000000000000100000000000000000000000000001100100000000000000000000000000000000000000000000000000001000000000000000000000000000011100000000000100000000000000000000000000000000001000000100010000000000100000000000010000000000000001000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000010100000000000000000010000000000000000000000000010100000000000000001000000000000000000000000001000000000000000000000000010000100000000000000000000000000000100000000000000000000000000000100000000000000001000010000000000000000000000000000000010000001000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000100000000010000100000000000000000000000000000000000000000000000000000000000000000000000000110000000100000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000110000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000001100001000000000000000000000000000100000000000000010000000000100000000000000100000000000000000000001010000000000001001010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000010000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000110000000000000000000000000000000000000100000000000000000000000000000001000000100000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000110000001000000000000000000000000100000000010000000000000000001000000000001100000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000100000000000000100000000000000000010100000000000000000000000000010010000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000001000000000000000100000000000100000000000000010000000000000000000000000000000000000000000000000000001000000000000000001000000000000100001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000001000000000000000000000000000000000000000000000001000001000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010001000000000000000000000100000000000000000100000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000100000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000001010000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001100000001000000000000000100000000000000000000000000000000000000000000100100000000000000000000100000000000000000000000010000010000000000000000000000000000000000000000000001000000000000010000000000000000000100000000000010010010000000000000000000000000000000000000000000100000000000000000000000000000000000010000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000001000000000010000000000000000000000000000000000000000000000000001000000000000000001000110000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000001000000010001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000010000000000000000001000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000100100000000000100000010000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000100000000000000100000000000100000000001000001000000000000000000000000000001000000000000000000000000000000000100100010000000000000000001000000010000000000000000000000000001000000000001000000000000000010000000010000000000000000000000000000000000000000001000000000001000100000000000000000100110000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000010000000100000000000000000000000000000000000000000000000000010100001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000001000001001000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000001000000010000000000100000000000000000000000000000000000010000000000010100000000000000000000000000000000000000100000000101000000000011000000000100100000000000000000100000010000000000000000001000000000100000000100000000100000000000000000000001000000000010000000000000000000010000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100001010010001000000000000000001000000000000000000000000010000000000000000000100000000000000110000000000000000000000000000000000000000000000000000000010010000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000001000000000100000000000000000000100001000000000000000000000000000000000000000000000000000000001000100000000000000010000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000001000000010000000000000000000000000000000000000000000000010000000000000000000000010100000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000100010000000000000000000000000000000000000000000001001000000000000000000000000000000000001000000000100000000000000000000000000000010000000000000000000001000000000000000000000010000000000000000000000000000100000010000000000000000000000000000000000100000000000000000000000001000000000000000100000001000000001000101000000000000000000000000000000000000000000000000000100000000001000000000000010000000000001000000000000000010000000000000000000000000000000000000000000010000100000000000000010010000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000100000000000000010000000000000000000100000000000000000000000000000000000000000000000000100000000000100001000000000000000100000000000000000000000000000010000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100100100000000000000000000000000000000010000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000001000000001000000000000000000000000001100000000000000000000000000000000000100100000000000000000000010000000000000000000000010000000000000000000000000100000000000000000000000000100000000001000000000000000000100000000000000000000000000100000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000100001000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000100000000000000000000000001000000000000000000000000000000000000001100000000100000000001000001010000000100000000100000000000000010000000000000000000001000000000000000000000000000000000000100000000000000000000001000000000101000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000011000000001000000000000000000000000010000000000000100100000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000100000010000000000000000000100000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000010000000000001000000000001000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000100000000001100000000000000000000000000000000001000000000000000000000000000000000000000000101000000000000000000000000000000000000001001000100000000000001000001000000000000000000000000000000010000000100000000000000010000001000000000000000000000000000000001000000000000000010000000000000000000000100001000000000000000000000000000010000000000000000000000000000010000000000000100000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000100001000000000010000000000000000000000000000000000000010100000000000000000000000000000000000000000100000000000000000000000000100000000000000000000100001000000000010000000000000001000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000001000010000000000000000000000000000010000000000000000000000000000000001000000010000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000011000000000000001100000000000000000000000000000001000010000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000001000000100000000000000000000000010000100000000000000000000000000000000000000000000001000010100000000000001000000001010000000000000000000000000000000000000000100000000000010000000000000000000000010001100000000000001000000000000000000000001000000000000000000000000001000000000000001000000000000000000000000010000000010000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000010100000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000100010010000000000010000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000100100000000000000000000000100000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000010100000000000000000000000001001000000000000000000000000000000000000000000000000000000010000010000000000000000000000001000000000000000000000001000001000000000000000000000000000000100000000100000000000000000000000000001000000000000000000010000001000000001000000000000000000000000000000001000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000010000011000000000100000000010000000000000000000000000000000000000000000000000010000000010100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010001000000100001000000000000000000000000000000000000000000010000001000000000000000000001000000000000000100100000010000000000000000000000000000000000000100000000001000000000000000000000000000000000010000000000000110000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000010000000000000000000000010000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000100000000000000000000000000000000000010000000000000100000000000010100000000000000100000000000000000010000000000000000000000000100010000000000000000000100000000000000000000000000000000000000001000000000010001000000000000000000000000000001000000000000000000000000000000100000010000000000000000000100000000000010000000000000000000010000000000000000000000000000000000000000000000000100001000000000000100000000000000001000001000000000000001000000000000000000000010000000000000000000000010000000000000010000000000000000000000000000000000000000000000000010000100010000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000101000000001000000000100000000000000010000000010000000001000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000001000000010000000000001000000000010000000000000000000000000000000100000000000000000000001001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000110000000000000100000000000000000010000000000001000000000000000000000000000000000000000001000010000000000000000000000000000000000000000010000000000010000000000000000000001000100100000000000000000000000000000000000000000000000010010001000000000000010000000000000000000000000001000000010000000000000000000000000000000000000000000001000100000000000000000000000000010000000000000000000001000000001000000000000000000000000000000000000000000000000000000000101000000010000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000010000000001000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000001001000010000000000000000010010000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000110000001000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000100000001000000100000000000000000000000000001001000000000000000000001000001000000000000000000000000000000000000000000100000000010000000000000000000000000000100001000010000010000000000000000000000000000000000000000000000010100000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000010100000000100000000000000000000001000000000000000000000000000000000000010000000000001000000101000000000000000000000000000000000100000000001000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000010001000000000000000000000000000001001000000000000000000000000000001000010000000000000000000100000000100000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000001010100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000010000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000001001000001001000100100000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000100000100000000000000000000000000000000000000000000000000000000010000000010000000000000010000000100000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000100000001000000000000000000000000001000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000010000001000000000000000000010101001000000000000000000000000000001000010000000000000000001100000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000010000000000100000000000000000000000000000010000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000010100000000000000000000000000000000000000000100000000100000000000001000000000000000000000000000000000000000001000000000000000001000000000000000000100000000000010000000000001000000000000000100000000000000010000000000000000000000000001000000000001000000000000000000000001000000000000000000000000000000000000000000010000000001000000000000100000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000001000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000010000000000000000000000000000000001000000000000000001000000000000001000000000100000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000010000000000000001000000101000000000000000000000000000010010000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000001000000000000000000000010001000000010000000000000000000000000001000001000000000000000001000001000000100000000000000000000000000000000000000000000000000000000000001000000100000000010000000000000000000100000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000100000000000001000000000000000000000000000010000100100000000000000000000000010000000000100000100000100000000000000000000100000100000000000000000000000000000000001010000000001000000000000000000000000000000000000010000000000001000001000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000010000000001100000000000000000000000000000000000000000000000000000000000100100100000000000000001000000000000000000000100000001000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000100000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000100000000000000001100000010000000000000000000000010100000000000000000010000000000000000000000100000001000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000010001000000000001000100000010000000000000000100000001000000000000000010000000000000010000000000101000000000000000000000000000000000000001010000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000100000000100000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000100000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000010000000000000000000110000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000010001000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000001000000000000000000000000000000010001000000000000000000000000011000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000001100000000000000100000000000010100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100100000100000000000000000000000000000000000000000000000000000000000000000100000000000000000100001000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000100000000000000001000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000010000010011000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000100000001000010000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000101000000000000100000000000000000000000000000001001000000000000000001000000001000000001001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000011100000000000000001000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000100000000000000000000000000000000000000000000010000010100000000000000000100001000000001000000100000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100010010000000000000000000000000000000000000000000000000000000000000000000000000100010000001000000000000100010000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000001000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000010000000000000000100000000000100001000000000000000000000001010000000000000000000001000000000000000100000000010000001001000100000000000000000000000000010000010000000001000100000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000001000000000000000000010000000000000000001000000000000000000100100000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000011000000000000000010000001000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000110000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000001010000000000000000000010000001000000000000000000000000000000000000000000000010000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000100000000010000000000000000000001000010000000000000000000000000010000000000100000000000000000000000000000000000000000000000001000000000000100000000000000000000100000000000000000000000000000000000100100000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000001000000000000010000000000000001000000000100000100000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000001001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000100010000000000000000000000000000000010000000000000100000000000000000100000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000100001000010000000000000000000100000000000000010000000000000000000001010000000000000000000000000000000001000000000000000000000000000010000000010000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000100000000000000010000000000000000000010000000000100000000000001000000000000000000000100000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000010000000000000000000000000100001000000000000000000010000000000010000000000000000000010000001000000000000000000000000100000000000000000000001010000000000000001000000000000010000000010000000000000000000000000000000000000001000000000000000000000000000010000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001010001000000000000000000100000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000100000000100000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010001000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000100000000000000100000000000000000000000000001000000000000000000000000000000000000000000100000000000000100000001000010000000000000000010001010000000000100000100001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000001000010000000010000000000000000000000010000000000000000000000000100000000000000100000000000000010010000010000010000000000100100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000001000000000000000000000000010000000000000000000000000000100000000000000001000000000000000000000000000000010000000000001000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000100000001000000000000000000001000000000000100000001000000000100000000000000000000100000000000000000000000000000000000000000000010000000000010000000000000000000000000000001000000000000100000000000001000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000001000000001000000000000000000000000000000000000100010000000000000000000000010000000000000000000010000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000010000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000010000000000000100000000000000000000000000000000000000000000000000000001010000000001000000000000000000001100000000000000001000000000000000000000000000000000000000000000000000000000000000010000100000000000000000100100000000000100000000001000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010010000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000010000000100000000000000000000000000000000000000010000000000000100000000000000000000000000000010000000000000000100000000000000000000000000000000000001000010000000001000000000000001000000000000000000101100000000001000000000000000000000010000000000000000000010000000000000000000000100000000000000000000000001000001000000000000000000000000000000000000000000000000000000010000000000100100000000000000000000000000011000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000101000000000000001000000000000000000000110000000000000000000000000000000000000000010000000100000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000010000000001000000000000000100000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000001001000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000100000000000010000000000001000010000000000000100000001000000000011000000001000000000001000000000000000000000000000001000100000000000000000000001000000000000000000000000000000000000001000000000000000000000000000001000000010000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000110000000000000100000100000000001000000000000000000000000100000000000000000000000000000000000000010010010000000000000000000000100000000000000001100000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010001010000010000000000000000000001000000010000000000000000000000001000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000010001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010100000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000100000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000011000000000010000000000000010000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000100000000000000000000010000000000000000000000000000000000000000000001000000000000000000010000001000000000001000000000000000000010000000000000000000000000000000000000100000110000000000000000000010000000000000000001000000010000000001000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000010000000000001001000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000100000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000010000000010000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000100100010011100000000000000000000001000000000000100000000000100000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000011000000000010000000010100000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000010000000000000100000000000000000000000100000000000000000000100000010000000000000000000000001100000100001100001000000000000000000000000000000000000001000000000010000000000000000000000000000000000010001000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010010000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000100000000000000010000000000000000000000000100000000000001000000000000010000000000001000000000000000000000000000000000000000101000000000000000000000000000000000010100000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000100000010000000110000000000000000000100000100000000000000000010000000000000000000000000000010000010000000000000000000000000000100000001000000000000000100000000000000000001000000010001000100000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000001010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000100000000100000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000100000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000001000000000000000010001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010010000000000000000000000000010000000000000000000000000000000000000000001000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000100000000000000000000000000000001001000000000000100000000000000000000010000100000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000001001000010000000000000000000000100000000000000000000000000000000001001000000000000000100000001000000000000000001000000000100000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000100000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000001000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000001010000000000001100000000000000000000000000000000000000000000000000000000000000000010000000000000010001000000000000010000000000000000000001000000000000000000000000000000000000000000100000010000000000000000000000001000000000100000000000000000010000000000000000000000000000000000000000000000000010000010000000010000000000000010000100000000000000000000000000000000000000000000000000000000000000000000010001000010000100000000000010000000000000000000000010000000000000100000000010000000000000000000000000001010000000000000100001000000000000000000000000000000000000000000010000001000000000000000000000000000000001000000000000000000000000000000000000000100000000010000100000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010100000000000010000100000001001001001000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000101000000100001000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010001000000000001000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100001000000000100010000000000001010000000000000000000000000000000000010000000000000000000000000000000000000000000000000100100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000011000000000000000001000000000000000000000100000000000100000000001000000000000000000000000010000000100100000000000000100000000000000000000000010001000000000000000010000000011000000000000000000010010000000000000000010000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000001010000000000000000000000000000100001000100000000100000000000000000010000000000000000100000000000000000000000000000000000100000000000000001000000100000000000000000000000000000001000000000000010000000000000000000000000000100000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001001000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100010000000000000100000010000010000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000100100000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000100000000000000000000000000100000000001001000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000110000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000100001000000000000000000000000000000000000000000000000000000100010000000000000000000000001000000111000010000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000001000000000000000100000000000010000000000001000000000000000000000000100000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000001000010000000000000000000011100000000001000010000000000000000100001000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000100010000000100000000000000010000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000100000000000000000000000000000000000000000110000000000000010000000000000000000100011100100000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000001000000000000000000000000010000011000000010000000000000000001100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000011000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000001100000001000000000000000000010000000000000000001000000000000000000000000000000001000000000000000000000110100000000000001000000000000000000000000000000000000000000000000000000010000000001100000000000000010000000000000000000000000000000010000000000000000100000000000000001000000000000000100000000000000000000100000000000000000000000000010000000100000000000000000000000000000000000000001010000100000000000000000000000000000000000100100000100000000000000000000000000000000000000000000000010000000000000000000000000000000100000001000000000000000000000000000000000000000010000000000000000000000000000000000000000101000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000001000000000001000000000000000010000100000000000000010000000000000000000000000000100001000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000001100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000100000000000000000010000000000000000000000000000000000000000000000000000110000000000000000000010000000100000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010001000010000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000010000000000000000000000000000000000000000010000000000000000001010000000000000100000001000000000000000000000000000000000000000000000000000000000001000001000000000000000001000000000010000000001000000000000000000100001000000000000000000000000100000000000101000000100000000000000000000001000000000000000000000001000000000000001000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000010000000000000000000001000010000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000101000000100000000000000000000100000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000100000000000000100000000000000000000100000000000000000000010000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000100000000000000000000001000000000000000000000001000000110000000000000000000000000000000000000000110000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000011000000000010000000000000000100000000000000000001000000001000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000001000000000000010100000000000001000000000000000000000000000000100000000000000000010000000000000000000000100100000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000001001000000010000000000000000100000000000000000000000000000010000010000000010000000100000000000000000000000000000000100000010000000000001000000100000010000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000001100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000001000000001000000000000000000000000001000000000100000100000000001000000010000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000101000001001001000000000000000000000000000000000000010000000000000000000000000000000000001000000100000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000110000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000001000000000000000000000100000000000000000000001000000000000100000000000000000000000000000000000000000000000000100000000000010000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000010010000000000010001000000000010100000100010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000001000000000100000001000000000000000000000000000000000011000000000000000000000000000000010000000000000001100010000000000000000000000001000000000000100000100000100000001000000010000000001000000000001000000000000000000100100000000000000000000000000000000000000000000000001000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000001000000000100000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000100000000000000001000000000000000000000000000000000000000000000000100000010000000001000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000001000000000000000100000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000100000000000000000000000000000000000001100000000000000000000000000100000000000000000000000000000000000001000000000000000000000100100000000000000000001001010010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000001000000000000000000000100000001000010000000000010000000000000000000000100000001000000000000000000000000000000000000000000001000000000000000100000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000001010001000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000100000010000000000000000000000001000000000000000000000100000000000000000000000000000000100000000000000000000000000000000010000000000000000100000000010000000000000100000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000001000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000010000000000010000100010000000000000000000000010000000000000000100000100000000000000000000000000000000000001000000000000000001001000000000000000000000000000000000000000000010000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000001000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000001000100000000000000000000010000001000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000011010000000000000000000000000000000000000000000000000000000000000001000001100000100000000000000000010001000000000000010000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000100010000000000100000000010000000100000000100000000000000000000000000001000000100000000000000000000000000000000000000000101000100000100000000100001000000000001000001000000100000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000100010000000011000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000001000010010000100000000000010010000000000001000000000000000000010000001000000000000000000000000000000000000010001000000000000000000000000000000000000000000010000000000000000100000000000000000100000000000000000000000000000000000000000010010000100000000000000000000000000000100001000000100100000000000000000000000000000000000000000000000000100000000000000000000000000000010001000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000010000000000100001000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000100100000000000000000000000000001000000010000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000011000100001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000001000010000000000100000000000000000000000000000100000000010000001000000001000000000000000000000000000010000000000000100000000000000001000000000000000000000000000000000000010000000000000000000000010000000000000000010000000000000000000000000000000000000000000001000000000000000001000011000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000100010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100010000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000001000000000000000010001000000000001000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000001000100000101000000001001010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000101000000000000000000000010000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000100000000000000010010000000000100000000000000000000000000000010000000000000000000000000000000000000000010001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000001000000000000000000000001000000000000010000000000001010000000000000000001000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000100000000000100000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000100000000000000000000000000000000000000000000000000010000000000000000010000000000000000000001000000000000000000000001000000000000000000000000000000000000010001000000000100000000000000000000000000100000000000000000000100000000000000000000000000000001000000000000001000000000000001000000000000100000000010000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000010000000000000001001000000000000000000000000000100000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000010000001100000000000000001000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000100000100000000010000001000000001000000000000000000000001001000000000000000000000000000000010000000000000000000000000000000000000010000001000000100000000000000000001010000001000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010100000000000000000000000000000000000000010000000000000000000000000000000010001000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000010000001000000000000100000000000000000000100000001000100000000000000000000001000000010000000000000000000000000000100000000000000000000000000000000000010100001001000000000000000000000000000001000000000000000000000010000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000011000000000001000000000000000000000000000000000000000000001000001000000000110000000000001000000000000000000000000000000000000000000000000000000000000000000000000010100000000001000000000000000001000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000001000010000000000000001000000000010000000000010100000000000000000000000000000000000000000000000100000000000000000000001000001000000010000100100000000000000000000000000000000000000000000000000010000000001000010000000100000000000000000010000000000000000000000000001000000000000000000010000000000000000100000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000100000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000010000000000000000000000000000001000010000100000000000000000000010000000000000000000000000000100010000000000000000000000000000000000000000000000000000010000000000000000000100000100000000000000100000000000000000000000000001000000010010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100010000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010010000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000100010000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000100010000000000000000000000000000000001000000001000000000000010000000000000000000000000000000010001000001000000100000000000000000000100000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001100010010000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000010000010000000000000000000000001010000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000010000000000000001010001000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100100000001000000000 0000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000010010000000100000000000000000000000000000000001000000000000000000000001000000000000000100000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000010011000000000000000000000000000000010010000000000000000000000000000000000000010000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010010000000100000100000000000000000000000010000000000000000000100000001000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000010000000000000000000000100000000000000000001010000000000000001000000000000000000000000000000000001000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000100000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000100000000000000000010000000000000000000001000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000100000001000000000000000001000000000000000000010000000000000000000000000100000000000001010000000000000010000000000000000000000000100000000000010000010000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000100010000000000000000000000010000000000000000000000000000000000000000000000000000000010001000000011000000001000000000001000000000000000000000000100000001100000010000000000100000000000000000000001000001000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000010000000000000000000000000000000000001000000000010000000000000000000100000000000000000100000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000100000000000000010100000010010000000000000000001010011010000100001000000000001000000000001000000000000001000000000000000000010000100000000000000000001000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000010001000000000000000000000000000100000000000000000100000001000000000000000000000000000000000000000000000000000100000100000000000000000000000000000100010000000000000000000000010000000000000000000000000000000010000000010000000000010000000010000000000000100000000000000000000000000000000000000100001000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000010000000000000000000000100000000000000000001000000000000000000000000000000000000001010000000000000000000000000010000000000000001000000000000001000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000001000000000100000000000000000000000000000000000000000000000000001010000000000000000000100010000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000010001000000000000010000000000100000000000000000001000000000000001000000000010000000000000000000000000000000100000000000000001001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000100100000001000000000000000000000110010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100010000000000000101000000000000000000000000000010000000000001000000000000100000000000000000000000010000000000000000100000000000001000000000000000000000000000000100000010000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000100001000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000001000000000000100000000000000000000000100000000000000000000000000000000000001100001000000000000001000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000010000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000100000000000000000000000000001000000000000000000000001100000000000000000000100100100000000001000001000000001000000000000000000010000000000000001001000000000000000100000000000100000000000000000000001000000000000000000100000000000001000000100100000000000000000000000000000000000000000000000000010000000000001000001001000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000001100000000000100000000000000000000000100000000000000000000100000000000000000000000000000000010000010000001000000000000000000000000100000000000001100000000000000000000000000000000000010000000001000000000000000010000000000000000000000000000000000000000000000001000000000001000000000000000000000000001000000000100100100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000101000100000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000010000000000000010000000000000000000000001011100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000100001010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000010000001000000000010000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000110000000010000000000000000000010000000000000010010000000000000000000010100000010000000100000000000000000000000000000000000000010000100010000000010000000000000000000000000000000000001000000000000010000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000011000000000000000000000001000000000000000000000000011000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000100000000010000000000000000000000000000000010000000000000000010000000000000000000000000000000000100000000001000000000000000000000000000000000000000000100000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000001010000000000000100000000000000000000100000000010000000000000000000000000100000000000000000010000000100000000000000000000000010000010000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000101000000000000000000000000000000001000000001000000000001000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000010000000000000000100000000000000000100000000100000000000001000000000000000000000000000000000000000000000000010000000100100000000000001001010000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000101000000000000000100000000000000000000000010000000101000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010001000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100001000000000000000100000000000000000000000000000000000001000000000000000000000000100000000000000000010000000000000001000000000000000100000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000100000000010000000000000000000001000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000001100000000000000000000000000000000000000000000000000000000000000000000000001001000001000000000000010001000000000000000000010000000100100000000000000000000000000100010000001000000000000000000000000000010000000000100000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010001000000000000000000000000000000100000000000000010001000000000000000000100000000000000000000000000000000001000000000000000000000000000100100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000001000000000000000000000000000000000000000000000100000000000000000000001000000000000000000001000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000010000010000000010000000000000000000000000000010000100000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000100000000000000000000000000000000000100000000000000010000000000100000000000000000000000100000000000000010000000000001000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000001000010000000000000000000000000000100000000000001000000000000000010000100000000000010000000000000000000000010000100000100000000000000000000000000000000010000000001000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000110000001000000000000000000000000000001001000000010001000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000001000000000000000000010000000000000000001001000000000100000000000000000000001000010000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000010000000000001000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000100000000000000000000100000000010000000001000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000010000000000000001000001000010000000000000000000000000001000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000001000000000000000000101000000010000000010001010000000000000000000000000010010000000000000000000000000000000000000000000000010001000000000000000000000000000010000100000010001000000000000010000000000000001000010000000000100000000100000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000010000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000001100000000000000000001000000000000000000000000000000000000000001001000000000000000000110000100000000000000000010000000000000000000000010100001000000000000000000000100000000000000000000000000000000100000000000000000100100000000000001000100000000000000000000000000000000000001000001001000000000000000000000000001000000000000100000000000000000100000000000000010000000000100000010000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000100000000000000000010000000000000000000000000000000000010000010000000100000000000000001000000000000000000000000001000000000000000000000000000000000000010000000000000000001000000100000000000000000000000001000000000000000000000000000000000000000000010000000000000000000100000000000000000100000000000000000000000000100000000001000000000000000000000000000000110000000000000000000000000000000000001110000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000001000000000000000000001000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000001000000000000000000000000000000000010000000000000000000000000000001000000000000000000010001000000000000000000000000000000000100000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000010010000000000000000000000000100000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000100000000000100000000000000000000100000100000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000001000010000000001000000000000000000110000000010000000000000000000000010001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000001000000000000000000100001000000000000000000000000000000000100000000000000000010000000000000000000000000000000001000000100000000000000000000000000000100001000000010000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000001001000000000000000000000000000000000000000000000000001000000010000001000000010000000000011000010000000000000000000000000000000000000100001000000000001000010000000000001000000000000100000000100000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010100100000000000000000000000100000000000000000000000000000100000010000000000000000000000000000000000000000000000000010000000100000000000000000000000000110000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000100000000000000000001001010000000100000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000100000110000100000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000001000110000000000000000000100000000000000000000000000000000000000000011000000000000100000101000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000100000000001000000000000000001000000000000000000000000000000000000000000100010000000000000000010000000000000000000000000010000000000000000001000000010000000000000000000000100000100000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000100000001000000000000000000000011000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000001000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000100000000000100000000000000000000000000000000000010000000000000000000000000000010000000000000000000000010001000000000000000000000000100000000000000000100000010000010000000000000000000000000000000000000000000000000100000010001000010000000000000000000000000000001000000000000000000000100010000000000000000000000000000100000000000000000000000000000000000000000100100000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000010000000000000000000000000000101000000000000000000000000000000000000001000000000000000000000010000000000000000000000000110000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000100000000000000000000000010010000000000100000100000000000000110000000000000000000000000000001000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000010000000010000010000000100000000000000000000000000010000000000000001000010000000000000000000000000000000000000000000000010000000000100000000000000010000000000000000000000000000010001000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000001000000000000000000000000000000010001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000110000000000000000000000000000000010000000000010001000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000010000010000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000010010001000001000000000000000100110000000001000000000000000000100000000000000000110000000100000000000000000000000000000000000000100000010000000000010000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000001000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000100000000000000000100001000000000000000100000000000000000000000000000000100000001000000000000000000000000000000000000000000000000010000110000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000100000000000000000000010000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000010000000000000000000000000000001010000000000000000000000000000000000000001000000010000010000000100100000100000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000100000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000100100000001000000000000000100010000000000000000000000000000000000000000000000000000001001000000000000000000000000000000100100000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000001000001000000000000000000000000000010000010000000000000000000000000000000001000000000010000000000000010000000000000000000000000000000010000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000101000000000000000011000000000000000001000000000000000000000000000000000000000001000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000001010000100000000000000000000000000000000000000010100010000000000000000000000000000000000001000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010010000000000010000000000000000001000000000000000000000000000100000000000000000000000000000100000000000010000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000010001000000000000001000000000000000100001010000000000000000000000000000000000000000000000000000000000000000001100000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100010000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000001000000000001000000000000000000000000000000100000000000000000000010000000000010000000000000100000010000000000100000000000100000000010000001000000000010000000000000000000000000000000001000000000000000000000000000000000000000000010000010000000000000000100000000000000011000000000000000000010000000000100000000000000000000000000000001000000100000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000001000000100010010000000000000000000000000000100000000000000000000000000000000000100000000000000000000000001001000000000000000000000000000000000000010000000000000000000000011000000000000000000000001000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000100000000001000000000000000000000000000000000010000000000000000010000100000100000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000100000010000000000000000000001000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000100000000000000000000000000001000000000000000000001000000000000000000010000000000000000000000100000000100000000000000000100000000000000100000010000000000000000000100000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000100001000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000010000000000000000100000100000000000000000000000000000000000000000000000000000000000010000000001001000000000000000000000000000010000000000000000000000000001000000000000000010000000000000010000000000000000000000000000010000000010000100000000000000000000000001000000000000000000000000000000000000000000010000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000010000001000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001001100000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000010000100000000010000000001000000000000000000000000001000001000000000100000000000000000000100100000000000000010000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000010000000000000000000001000000000000000010000000000000100100000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000100001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000010100010000100010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000001000000000000000000000000001000000001000000001000000000000000000000100000010010000000000000000000000001000000000100000000000000000100000000000000000000001000000000000000000000000000000000010000000100000000000000000001000000000000000000000000000011000000000000000001000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010001000000000000000010000000000000000100000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000001000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000001100000000000000000000100000000000000001000000000000000000000000010000000000000000100000000000000100000000000000000001000000000000000000000000100000000000010000000000000000000000000000000001000000000100000000000000101000001000000000001000000000000000000000000000000000000000000000000000001000000000000000001100000000000100000000000000000000000000000000000000000000000000000000010100000000000000000000000100000000100000000000000000000000000000001000000000000001000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000001000010000000011000000000000100000000000000000000000000000000000100000000000000000000000000000000001100000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000100000000000000000000100000000000000000000110000100100000000000000000000000000000000000000000000000001000000000000000000000000000000100100000000000001000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000001000000000000000001000000000010000000000000000000000000000000000000000000000100000010000000001000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000100000001100100100000100001001000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000110010000001001000000000000100000000000000000000000000000000000000000000000100000000000110000000000000010000000000000000000000000000001000000000000000000000110000000001000000000000000000100000000000000000000000000000000000000100000000010000000000001000000000000000010000000001000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000100001000000010100000000000000000000010000000000010000000000000000000000001000001000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000101000001000000000000000000000000010000000000000000000000000000000000000000010000000000000000100000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000001000000000000000000000001000000000000000000100001000000000000000000000010000000000000000000000000000000000000000000000000000101100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000001000010001000000001000000000000010000000000000000000000000000000000000000100000000000000010000000000000000000000100000000001010000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100100000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000100010000000000000000000000100010000000100000000000010000000000010000000000000000000000000000000000000000001000000110010001000000000000000000000000001000000000000010000000001000000000000100010000010000000000000000000000000000000000000010000000000000000000000001000000000000000001000000000000000000000001000000000000000000000000000000000000001000001000000010000100000000000000000000000000000000000000000010000000000000000000001000000000000000000000000001000000000000001000000000000000000000000000000000000010000000000000000000000000000000101000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000001100000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000100000000000000000000010000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000010000000000000001000000001000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000100000010000000000000000100000000000000001000000000001010000000000010000000000000000000000000001000000000101010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000010000000000001000000000000000010000010100100010000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000010000000010000100000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000001100000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000001000000000000010000000000000000000000000010000000000001000000100001001000001000000100000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000100000000000000000000000000001000000010000000000000000000000000000000000010000000000000000100000000000000000000100000000000010000001000000000010000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000100000000000010010000000000000000000000000000000000000000000000100000000010000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000001000001000000000000000000000000001100000001000000000000001000000000010010000000000000000100000000000000000000000000000000000001000000000000000010000000000001000000100000000000000100000000000000000000000000000000000100000000000000000000000000000000000010000000010000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000100000001010000000001000000000000000000000100000000000000000000000000000001000000000000000000000000000100000000000000100001000000000001000000000000000000010000000000000000000000000000000000010010100000000000000000000000000000000000000000000000100000000000000000000000000000000100000000100000000000000000001000000000000000000010000100000001000000000000000000000000000000000000000000000000010000000000000000000000001000000011000000010100001000000000000000000000000100000000000000000000000100000010110000000000000000000000000000001000000000000000000001000000000000000000000000000000000000001000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000100000000000000010010000000000000000000000000010000000010000000000000000000000000000000000000000000001000000000000000000000000100000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000100000000000000000000000000000001000000000000001000100000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000001000100000000000000000000001000000000001010000000000000000000000000100000000000000000000000000000001100000000000000000000000000000000000000100000000000000001000000000001000000000000000000010000000000000000000100000000000000000000100000000000000000000100000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000010010010000000000000000000000000000000000000000000000000000000000000000000010000000010000100010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000100000000000000001000001000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000010000000000000000001000000010000000000000000010000000010000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000110000000000010000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000001100000000100000000000000100000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000001000000000000000000000000000100000000000000000000000001000010000000000000000000000000000000000000000000001000000000000000000000000000000100000100000000100000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000101000000000001000000000000000000000000000000000000000000000000000100000000000000101000000000000000000000000000000000001100000100000000000000100000000000000000000000000000011000000000000110000000000000000000000000000000000000001000000000001000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000001000000000000000000000010000000000000000000000000000000010000000010100000000000001000000000000000000000000000000000001000000000000000000000011000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000010000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000010000000000001000000000101000000000000000000000000000000000000000000010000000000001000000000000000000000000010000000000000000000010100000100000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000010000000000000000000000000010000000010000000000000000000000010000000000000001000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000100000000000000000000010000001000000000000000000100000000000000000001000000001000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011001000000000000000000000000000000000000100101000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000010000000000000000000000000001000000000000100000000000000100000000000001000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000100001000001000000000000000000000000010000000000000000000001001000000010000000011000000000100000000010101010000100000010001100000000000000000100001000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000001000000000010000100000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000100100100000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000100000000000000100000000001000000000010000010000000000000000010000000000000000000000000000000000000000001000010000000000000000000000000000001000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000100000000000001000000000000000000000000000000010000000010000000000010000001000000000000000011000000000010000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000001000000000000000000100000000000000000000000000000000000010000000001000000100000100000000001000000000000000000000000001000000000000000001000000000000000001000000000000000000000000000000010000000000000101000100000000000000001010000100000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000010000010000000000000000000100000000000000000010000000000000000000000000000000000001000000000000000010000000000000000000000001000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000001000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000001000000000000000010000100000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000010000000000000000010100000000000000000000000000000100000000000000010000000000000000000000000000000000000000110000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000100000000000000100000000000000000000010000000000000010000000000000000000000000000000000000000000000000100000100010000000000000000000001000000000010000000000000000000000000000000000000000100010000000000011000000000000000000000001100000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000001000001000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000100000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001100000000000100000001000000000000000000000000000000010000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000010010000000000001000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000100010000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000010000000000000000000000010000000000010000000000010000000010000000010000000100000000000000000000000000000000000100000000000000000000000000000000000011000000000001000000000010000000000000000000000000000000000000000000001000000100001000000000000010000000000000100000000000000000000100001100000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000001000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000001000000000000000000000000001000100000010000000000000000000000000000000000000000000001000000001000000010000000000000000000000000100000000000000000000100000000000100000000000010000000000000000000000000000000000000100000001000000000000000000000000000000010000000000000000000000000000000000010000011000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100101100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100100000000000000000000000000000010000001000000010000000000000000000000000010000000000000001000010000010000000000000010000000001000000000000001000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000100000000000000000000010000000000000000000000001000000000000100000000000000000000001000000000000000000001000000000000000000100001000000000100000000000000000000000000000000000100000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000001000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000001100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100001000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000001000000000000000010000000000000000000000000000000000000100000000001000000000000000100100000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000100000000010000000000000001000000000000000010000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100001100000000000000000001000000010000000000000100100000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000001010000100000100000000001000000000000010000000000000000100000000010000000000000000000000000010010000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000100000000000000000000001000000000000000000000000100001000000000000000000000000001000000000000000001000000010000000000000000000000000000000000000000000100000000000000001001000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010010000000000010000000000000000000100000000001000000000010000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000100000000000000000100000000000000000000000000000000100000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000001010000010000000000000000000000000000000000000000000000000000100000000000001010000000000000000001000000000000000000000000000000000010000001010000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000001000000000000000000000000001000000000000000010000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000010000000001000000000001000000000000000000000000000000000000000000000000000000001000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000100000000000010000000000000000100000000000000000010000100010000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000101001000000000000000000000000000000000000000000000000000000000000000000000000100000000000100001000000000000000000000000000000000000000001000000000000000000000000000000101000000000000000000000000000000000000000000000000000000010000000000000000000000000100010000000010010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000100000000000000011000000000000000000000000000001000000000000000010010001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000100000000010000000000000010000000100000001000000000000000001000000000000001000000000000000000000000000000000001010000000000000000000011000000000000000000000000000000000100000000000000000000000000000001000000000000100000011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000010000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000010000100000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000010100000000000000000000000000000001001000000000000000010000000100000000000000000010000000000000000000000010000000000000000000000100000000000000100000000010010000000010000000000000001000000000000000100010000000000000000001000000000000000100000000000000000000000000000000000000000100000000100000001000100000000000000001000010010000010000000000000000000001000000000000000000000010001001000010000000001000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000010001011000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000100000000100001000000000000010001000000000001000000000000000001000101000010000100010000010000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000001000010000000001000000000000000010000000000000000000101000000000001000001010000000000000000000000000000000000000000000000000000000011000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000011000000001000000000000000000100000000000000000100000100000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000001000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000100000000110000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000010000000000000000000010000000001100000000000000001000000000000000000000000000000100000000000000001000001100000000000010000000000000000100000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000010100000000000000001000000000000000000000100000000000000000000010000000000100100000010000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000010000001000010000000000000000000000000000001010000000000000000000000000010000000000000000000000000100010000000000000001000000000000000000000000000000000000000000000000000011000000000000000000000010000000000000100000000100000000000000010000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100100000001000000000000100000000000000100000010000000000000000001000000000100010000000100000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000010000000000001010000000000000010001000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000100000000000000000000000000000000000010000000001000000000000000000000000000000000000001000000000100000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000001000000001000000000000000000000000000000000100000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000001000000000001000000100000000000000000000000010000100000010000000000000000000000000000000000000000000001000000000100000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000010000001000000000010000000000001000000000000000000000000000000100000000000000000000000000000000000000000010000100000000000000000000000000010000000100000000000001000010000000000001000000100000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000100000010000000000000000000000100000000000000010000000100000000100000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000100100000000000000000000100000000010000000000000000000000001000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000010000000000000000000000100010100001000000000100000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000010000000001000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000001110000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000100100000000000000000000001000000000000100000000000000000000000001000000001000100100000000000000000000000000000000001000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000100000000000000010000000000000000000010000000000001000000000000000000000000000011000000000000000000000000000000000000000000010000000000000000100000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000001000000000000010000000000000001000000000110000000000000001000000000000000000000000000001000000000000000000000000010000000000000000100000000000001000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000100000000000000000010000000000000001000000000000000000000000000000000010010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000100000001000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000010100000000000000000000100000000000000000010000000000000000000000000100000000000010000000000000000000001000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000010000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000100000000100000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000100000000001100001000000001000000000000000000000001000000000000000000000000000000000000010000100000000000000000000000000100000100000000100000000000000000001000000000010000000100100000000000000000000001000000000000100100001000000000000000000010000000000000000000100000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000100000000000011000000000000000000000000000000000000000000000000000000000000100000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000010001100000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000010000000000000101000000000000000000100001000000000000000000000000000000000100000000000000000000100000000000000000000000000100000000000010000000000000010000000000000000000000000000000000010000000000000000100000001000000000000001000000000000000000000000100000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000100000000010000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000001100000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000001000001000001000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000010000000000000000000100100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000100000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000001000000000100000000000000000000000000000001000000000000000000000000000010000100000000000000000000000000000000000100000000000000000100000000000000000000000000010000000000000000001000000100000000000000000000000000000000000000000010000010000001000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000001000001000001000000000000001000000000000001000000000000000000100000100000000000000000000000000000000000000000000000000100000000000100000000010001000000000000000000000000000010000000010000000100000000010100000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001010000010000000000000000000000000000100000000000000000000000001000100010000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000100000000000000000000010000000000000000000100000000000001000001000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000010000000000000100000000000000000000000000000000000100000001001000100000100000000000000001000000000000000000000000010100000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000001000000010000000000000000000000000000100000000000000001000010000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000010100000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000100000011000000000000000000001000000000000001000000000000000001000000000000000000000000000000001000000000000000000100000000000000000000001000110000000000000000000000000000000000000000001000100000000000000000000000000010000000001000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000010000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100001000000010000000000000000000000001000000000000000000000000000000000000000000000000000100100000000000000010000000000000000000100000000000000000000000100000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001001100010000000000000000000000001000000000000000000010000000010000010000000000000000000000000000010000000000000000000000000000000000000000000000000000001000100000000000000000000000000010000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000001000000100000000000000000000000000000000000000001000000000010000000000000000000000000000000000000100000000010000000000001000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000001000000000011000000000000000001000000101000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000100000001000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000001000000000000010000000000000010010000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000100000000000000000000000000010000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000010000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000001000000001000000000010000000000000100000000100000000000000000000010000000000010010000000000001000000000000000000000000000000010100000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000100000000000100000000000000000000000000000000001000000000000001001000000000000000000000010000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000010000001000000000100000100010010000000000000000000000000001010000010000000000000000000010000000000010000000000010000000000100000010000000000000000001000001000000000000000000000000010000000010000000000000000000000000000000000000010000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000010000000000000000000000000000000000010000000010000000000010000000000100000000000001000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000001010000000000010100000001000000000000000000100000100000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000010000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000100000000000000000000001000000000000000000000000000000010000000000010000000000000100000000001001000000000000000000001000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000010000000010000000000000000010010001000000000000000000000000000000000000000000000100000010000000000000000000000000000001100000000000000000000000001000000001000000000000000000000000100000000100100000000000000000000000000000001000000000010000000000000000000000000000000000001010000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000001000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100001000000000001000000000000000000100000000000000000000000100000000000010000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000011000000000000100000000000000000000000000000100000000000000000000000010000000001000000000000000000001000000000100000100000000000000000000000000000000000000010000000000011000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000101000001000000100100000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000010000000000010000000000000100100000010000000000000000000000000000000011000010000100100000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000010001000000000010000000000000000000000010000000010000000000000000000000000000000100000000000000000001000000000000000000000000000000000000100000000000000000000000000000100000000001000000000000000000000000000000000000000000000000010000000100000000000000000000010000000000000000000001000000000000000000000000000000000010010000000000000000000000000101000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000001000000000000011001000000100000000000000000000000000000000000010000000000000000000000000100010000000000000000000000000000000000000000001010000000000000000010000000000000000000000000001000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000010010000000000000000000000000000010000000010000000011000000000000010000100000000000000000000000000000010000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000001000000000000000100000000000110000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000010000000010000000000000000010100000000000000000000000000000001000010000000000000100000000000000010000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000100000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001001001000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000010010000000000000000000000000001100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000010000000000000000000100000000000000001000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000010000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000010000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000010000000000010100000000000000000000000000100000010000000000000000000001000000000010000000000100000000010000000000000000000000000000000000000000000000000010000001000000010100000000000000000000000000000000000000100000000000000000000000000000000001000100000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000001000000000000000000000000100000000000000000000000000000000000001000000000000010000000000000001000000100100000000000000000000000000000000000000010000010000000000000000000000000000000000100000000000001000000000000000000000000000000000000001000000000000000100000000000000000000000000000001000000000000000000000000000000000010100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000001001000000000000000001000000100000000000000000000010100000100000000110000000000000000000000000000000000000000000000000001000000000000000000000000100000000000100000000000000000000000010000000000000000000000010000000000000000000100000000000000000000010000100000000001000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000001000000010000000000001000000000000000000000000001000000000000000001100000000000100000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000010000010000000000000001000000000000001000000000000000000000001000000000000000000100000000000000000001000000000000000100000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000100000010000000000000000000000100000010000000000000000000000000001000000000000000000000010000000001100000000000000000000000000000000000000000010000000000000001000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000110000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000010000010000000000010000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000001100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000101000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000010000000000000000000010000000000000100000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000010000000000000000001000000000000000000000000000000000000000000100000000000110000001000000000010000000000000000000010100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000001000000100000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000010000000000000000000000000010000000000000100000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000010000100000010000010000000000000000000000000000100000000000000000000000000001000011000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000001000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000011000000100000000000000000000001000000000000000000000000000000000001000000000000000000000000001000001000000000000000000000000000000000001000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000001000000010000000000000000000000010000000000000000100000000000000000000000000100000010100000000000000000000000000000001000000000000000000000000000000001000000100000000000001000000000000000000000000000000100000001000000001000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000010000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000010000000000000100000100000000000100000000000010000001100000000000000000000000000000010000000100000000000000000001000000000000000000000000000000000100000000001100000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000001001000000001000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000001000010000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010001000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000001000000000000000010000000000000000000101000000000000000000000000010000100000000000000000001010000000010000000000000000000000000000100000000100000000000000000100000000000000000000100000000010000000100010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000001000000000000000000000000000100000000000000000010000000001000000000000000000000100000010000001100000000000000000000000001000001000000000000010000000000000000000000000000000000000100000000000000000010000000110000000000000000000000000000000000000000000000000010010000000001000000000000000000000000000100000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000001000000001000000000000000000001000000000000000000000000000000000100000000100000000000000000000000100000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000100000000000000000000000000000000001000000000000000000000000000000000000100000000000000010000000000001000001000000000000000000000000000100000000100000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000001000000000000000000100000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000001000000000000010000000000000010000000000000000000000001000000000000000000000000000100000010000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000010100000000000010001001000000001000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000010000010000000000000000100000000000000000100000010010000000000000000110010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000110010000000001000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001100000000000000000000010100000010000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000010000000000000000000001000001000000000000000000000000000000000000000000010010001010000000000000100001000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000001000000000000000000000001000000000000000100000000000000000000000000000000000001000000000000000000000000000000010000000000000000000010000000000001000000000000000000000000000000000000001000000010000000000000000010000000000000000000000000010000010000110000000000000000000000000000000000000000001000000000000000000001000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000100000001000000000000000000010000000000000100000001000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100001000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100010000000000000000000000000000001100000000000000000000000010000100000000000000000000000000000000000000100000000000100000000000000000001000000000000000000000000011000100001000000000000000000000010001000100000000010100000000000000010000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000010000000010000000000000000000000000000000000000100000000000000000000000000000000100101100000000000000000000000000000000000001000000000000000000000000100000000100000000000000000000000000000000000000001000000010001000000000000000000000000000000100000000000000001000000000000010000000000000000000000000000000000100000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000110000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000100000000000000000000000000100000000101000000010000000000000000100000000000000000000010000000000000000010000000000000000000110000000000001000000000000000100000000000000000000000000001000000100000000000000000000000000000100000000000001001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010001000001000000000000000000001000000000000000000100000000000000000001000001001000000000100000000000001000000000000000000010000000000000000000000000001000000000000010000000000100000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100001001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000100000000000001000000000010001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000100000001000000000000000000000000000000001000010000010000000000000000000000000000000001000000000000000010000000000000000000000000000100001000000001000010000000000000000000000000000000000000000000000000000000000000000001000101000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000100010000000000000100010000000000000000000010000000000000000000010000000000000000000000000000000100000000000000101000000000000000000100000010000000000001000000000000000100001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000011001000000000001100100010000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000100000000000010000000001000000000000000000000000000000000000000000000010000000001100000000001000000000000100000000000001000000000001000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000100000000000001000100000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000001000000000000000010000000000000100000000000100000100100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010100000000000000000000000010000000000000000000000001000000000000001000000000010000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000010000000000000000000000000010000000000000000000000000100000000000100000000000000000000000000000000000000000000000000100000000000000000000001000000000000000100000001100000000000000000000000000000010000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000010000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000011010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000110010000000000000011000000000000000000000000000000000000100000000000000010000000000100000000000000000000000000000001000000000000001000000000000000000000000000000100001000000100000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000100010000000100000100000000000000000000010000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000010000000100000000000000000000000000000011000000000000000000000000000100000000000000000000100010000000000000000001000000001000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000001000001001000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000001000000000000010010000000000000000000000000100000000000001000000000000000000000000100001000000000000000000100000000001000000000000000000000000000000000010000000000000000000000000000000000010000000000000010000001000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000001001000000000000000000000000000000010000000000000000000000100000000000000001000010000000000000000000000000000001000000000000000000000100000000111000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000001000000000000000000000010000000100000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000011000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000001000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000010000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000001000000000000000100000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000001000000000000000010000000000010000000001000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000100000000000000000000000101000000000000000000000010000000000000000000000000000000010000000000000000000000010000100000000000000000100000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000010000000001010000000001000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000101000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000100000000000000000000100000000000001010000000000000000010000000010000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000001000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000100001000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000010000010000000000000000000000000100000000000000010000000100000001001000000000001000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000010100000000000001001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000001000000000000000000000000000100000000000010100000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000001000000000100000000000000000011000000000001000000000000000000000100000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000001000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000010000000001000000000000000000000000000000100000000000000000100000000000000000000000000000000010000000001000000000000000000000000000000000000000000001000100000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000010000100000000000000000000100000100000110000000000000000000000101000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100010000000000000000001000000000000000000000000000001000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000100100000000100000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000100000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001001000000000000000000000000000100000000001000000000000100100000000000000100000000000000100000000000000000000100100000000000100000000000000110100000000000000000000000000000000000000000000000000000100000000000000000001000000000100000000000000001000100000000000000000000000000000000001000000000000000000000100000000000000000000000001000000100000100000000000000000000100000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000100000000000000000100000000000000000000001000100000001000000000000000000000000001000000010010000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000001000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011001000000000000100000000000010001000010000000000000011000000000100000100000001010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010001000000010000000001000100000000000000000000000000000000000010000000001000000000000000000000000000000000000000000100100000000000000000000000100000100001000000000000000000000100000000000000000000000000000000000010000000000100100000000000000000000000000000000000000001000000000000000000000000000000000010000000000101000100000000000000000001000010000000000000000000000000100100000000000000000000000001000000000000000010000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000001000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000010001000000000000000000000000000000001000000000000000001000000000000000000000000000100000000000000000000000000010000000000000100000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000100100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000100000010000000000000000000000000000100000001010010000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000100000000000000010000000001000000000100000000000000000100000000000000000000000000000000000000000000000000000001100000000000000000001000000000000000000000001000000000000110000000000000000000010000000100000000000000000000000000000010000000000000100000000000000100000000000000010000000000000000000100000000000000000000000000001100000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000010000000000000000011001000000000000001000000000000000001000000000000000000000000000000000000001000000000000000000000000010000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100001001000100000000000000000000000000000000010000000000000001000000000000000000000001000000000000000000000010000000000001000010000000000000000000000000000000000100000000000000000000000000000000000000001000000000000010000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000100000000000000000000001000000001001000000000000000000000000000010000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000010000000000000000000010000010001000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000100000000000000000100000000000000000000000000000001000000000000000000000000000010000110000100000001000000000000000000000000000000000000000000000001000000000000000000000000110000000000001000000000000000000001000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000010000000001010000000000000100000000000010000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000001001000000000000000000100000000000000000000010000000000000001000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001000000100000000000000001000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000100001000000000000000001000000000000000000000000000000100000001000000010000000000000000000000000000000000000000000000010000000001000000000000100000001000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000100000000000100000000000000000000000000000000000000010001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000010000000000000010000000000000000000000000000000001010000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000010000000000000000010000000000000000000010000000000000000000000000000000000001000000000000000000010000001000000000000010100000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000100001000000000000000000000000000000000000000010000000000000100000000000000010000100001000000000000000001000100000000100000000000000000000001000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000010000100000000010000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100010000000000000000000100000010000100000000000000000000000100001000000000000000000000000100000000000000000000000000000000000100000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000110000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100100000000000000000000000000000000010000000000000000000000001000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001100000000000000000000001000000000000000000000000000000001000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001010000000000010000000000000000000000000000000000000000000000000000000000000001010000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000100000000000000000001000000000000010000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000100000000000010000000000011000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000010010010000000000000000000000000000000000010000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000100000000000100000000000000000000000000000000001000001010000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000001000000000000000010000000000000000010000000001000000001000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000100000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000010001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000010000000100001000000000000000000000100000000010001000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000010100100000000100001000000000000000000000000000001101000000000000000000000000000000000001001000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100001000000100000000000000000000000000000100000000000000000000000000000000000000100010000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000100000000001000000000000000010000000000010010000000000000000000000000000000000000010000000000000100000000000000000001000000000010000000000010001000000011000000000000000010000000000000000000000010000000000000000100000000000100000000000000000000000000100000000000001000000000000000000000000000000000000000001000000001000000000000000000010000000001000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000101100001000010000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000100000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000010000000001000000000000000000000000000000000000100100000000101100101000000000000000000000100000000000000010000000000000000000000000000000000010100000000100000000000000000010001000000000000000000000000000000000000000000000000000000000001000000000011000100000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010010000000000001000010000000000000000000000000000000000001000000000000010000000000000000000000010000000000000000100000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000001000000000000000000000001000000000000000100100000000001000001000000010000000000000000100000000000000000000000000000000000000000000100000000100000000001000000000000000000100100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000010000000000000000100000000000000000000000010000000000000000000000000000100000000000000010000000010000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000100100000000000000000000000000000100000000010000000000001000000000000100000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000010000000000000010000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000100000000000000001000000000100000000000000000000000000000000001000000000000000000000001000000000000000001000000000000001000000010000000000000000000000000000000000000010000000000010000000010000000000000000000000000001000000000000000100000100000000000000000001000000001000000010000000000000000100000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000110000000000000000000000000100000001100100000000000000100000100000000000000000000000010000000000000000000100000000010000000000100000010000000000000000001000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000101000000000000000000000000000000000000000010000000000000000010001000000000000000000000000000010010000000000000000000100000000000000000000100010000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000010000000000100001000000000000000110000000000000000000000000000100000000000000000000000000000000000000000000100100000000100000000000000000000000000000001010000000000000000000000000000000000000011100000000000001000001000000000010000000000000000000000000000000000000100001000000000000000100000000000000000000000000010000001000100000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000100000000000000001000000000010000000000100000000000001010000000000000000000000000000000000000000000000000001000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000010000000000000000000000000001000000000000000000001000000000000000000010000000000000010000001000000000000000000000000000000000000001000000000100000001010000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000001000000000000010000000000000001000010000000000000000000100000000000010000100000000000010000000000001001000000000000000000000000000000001000100000000000000000000000000000000000000000000010001000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000001000000000000000000000110000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000100000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001110000000000000000000000000000000000000000000000001000000000000000000000010000000000000000001000000000001100000010000100000000000000000000010000100000010100000000000000000000000000000000100001000000100000010000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000010000000001000000000000001000100000000000000000001000000000000000000000000010100000000000000000000001000000000000000000011000000000000000000000000000000000100000000000010000000000000010000000010000000000000000000000000000000100000000000000000000000010000000000000000000000000100000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001001000000000000000000000000000000001000000100000000000000000000000000000000000000000000010000000000000010000000000000000101000000000000000000100000000000001000000000000000000000000000000000000000000000100000000000000010000000000000000000010000001010000000100000000000000000000001000000000000000000000000000100000000000000000000000000000000000000100000010000000100000000000000000000000000010000000100000000000000000000000000000000000100000000000000000000000000000000000000000000101000000001100000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100100000000000000000000000000000000000001000000000010000000000001000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000101000000000010000000000000000000001000000000000100000000000000000000000000000000000000000101000000000000000000000001000000000000100000000000000000000000010000000000000000000000000000000000000000001100000000000000000000000000001000000100000000000000000100000000000010010000000000000000000010000000000000100000000000000000000000000001000000000000000000000000000000000000000000010010011000010000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000010000000000000000000010000000000001000100000100000000100000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000010010000000000000000000000100000000010000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000100100000000000000000000000000000000011000000000000000000000000000000000000100000001000000000000000000000100000000000000000100000000000000000000000001000000100000000000000000000000010000000000000000000000000000110000000110000000000000000000000000000000000000000000010000000000000000000000000000000000010100010010000000000000000000000000000000000000000000010000000000000000000000000000000001010000000000000000000101000001000001000000000000000000000000100000000001000000000000000000000000000000000010000010100000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000100000000000000010000000000000000000001000000000000000001000000000100000100000000000110000000000000000100000000100000000010000000000000000000000000100000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000100000010000000000010000000000100000000000000000000010000000000000000000001000000000000000000000000000100000000000000000000000000000000000000001000000100000000000100000000000000000000000000000000000000000000000000001000000000000000100000000000000100000000000010000000000000000000001000000000001010000000110000000000000000000000010000000000000000000000000000000000000000000000000000000000000011000010000000000000000001000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000001000000000000000000000000000000000000000000000001000000000000001000000000000000000001001000100000000000000000000000000000000000001010000000000000000000100000000000010100000000000000000000000010000000000000000000000000000100000000000000000010000000000000000000000000000000001100000000010000000000000000001000000010000000000000000010000000000100000000000000000010000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000010000100000000000000000000000000000000000000000000000000000000100000000000100010000000001000000000000000000000100000000000001000000010000000000000000000000000100000000000000001000000100100000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010010000010100000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000100000000000000000000010000000010010000000000000000000000001000100000000000000000000000010000000000000000000000000100000000000000000000001000000000000000000000000001000000000000000000000000000001000000000000001000000000000000100000000000000000000000000000100000000000000000000000000000000000000000010000000100000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000010000000000000000010000010000000000000000000000000000000010000001000000000000000000001000000000000000000000000000000000000000000100000101100000000001000001000000000000000000000000000100000000000000000000000000010000000000000000010001000000000000000000010000000000000100000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100001000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000110000000000000010000000100000000000000000000000000000000000000000000000000000110010000000000000000000000000010000000010000000000000010110000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000001000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000010000000000000000000000101000000000000000000000000000100000000000000000000000000101000001000000000000000000000010000000000000000100001000000001000000000000000000000000000000000000000000000000000010000000000000010001000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000001000000000000000100000000000000000000000000000000010000000000000000000000100000000000000000000000000001000000000000000000000000000010000001000000000000000010000000001000001010101010000000000000000000000100000001000000000000000000000000000000000000000000010100010000000000100000000000000010000000000000100000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000100000000000000001000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000101010000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000001001000000000000000000100000000000000000010000000000000000000000000000000100000000000000000000000001000000000000000000000000000000100100010000000000100000000000000000000000000000000000000000000000000100000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000100000000000000000000000000000000000000000011000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100001000000000000000100000010000000000000000000100000000000000000000000100000000000000000000000000000000000000000000010010000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000001000000010001000000000000000010000000000000000000000001000000000001000000000000100001000000010000000000000000000100000000000000000000000001000000000000000000000000000000000011000000100000000000001001000000000000000010000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000010000000000000000001000000001000000000000000000000001000001000000000000000000000000000000000001000000000100000000000000000000000000000001000000000000000100000000000010000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000100000000000100010000000011000000000000000000000000000000001000000000000010100000000100001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000010000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000001010000000000000000000000000000000000010000000000000000000000000000000011000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000100000100000000000000010000000000000000001000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000011000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000011100000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000010000000001000000000000000000000000000001001000000000000001000000000100000000000000000000001000000000000000000000000000000000010000000000000001000000000000110000000000001000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000001010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000110001000000000000000000010000000000000100000000001000001000000000000000000000000000000001000000000000000000010000000110000000000000000000000000000000100000000000000000000000000000000000001000000000000000000001000000001000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000100000000001000000000000000000000000000000000000000100000010001000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000100000000000000000000010000000000000001000000000000000000000000000100000000000000000000000000000000010000000000100000000000000000000000000000000000000100000000000000000000010000000000000000000000001000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000110000100000000000000010000000000000001000000100000001000000000010010000000000000000000010000000000000000000001001100000000000000000000000000000000000000000000000000000000000100000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000100000000000010000000000000000000000110000010000000000000000000000000010000000000000010000000000001000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001010001001000100000000000000000000100000000010010000000000000000000000000000000000000100100000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000001001000000000000000000000100000000000000000000000010000000000000000000000000000000000000000001000000000000000000000010000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000001000000000100000000000000001000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000100000000000100000000000000001000110000000000000110000000010100000000000000000000000000000000010000000000100000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000011000000000000010000000000000000000000000000010010000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000001000000000100000000000000000000000000000000000001000100000000000000000000000000100000000000000000000000000100000000010100000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000001000000010000010000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000001000000000000000001000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000001000000000000010000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000001000000000010000000001000000000000000000010000000000000000000000000000000010000000000100000000000000100000000000000000000000000000000000100000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000001000010000001000000100000000000000000000000010000000000000000000100000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000001000000001000000000000000000000000000110000000000000000000000100000001000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000100000000010000000000001000010000100000000000000000000000010000000000000000010000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000100000010000000000000000000000000000000001000000000001000000000000000000000000010100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000010001000000100000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000100001000001000000100000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100010000000010000000000000001000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000010000100000000000000000000010001000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000100000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000001001000000000000000000000001000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111000000000100000100100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001001000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000011000000000000000000000000000000000000000000000000000000000001000000000000000000000000100100100000000000000000000000000000100000000000000000000010000000000000000000000000000010010000000010000000000000000000110000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000001000000100000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000010010000000000000000000000000000000010001000000000000000100000000000000000010000000000000000000000000100000000100000010000000000000000000000100000000000000000001010000100001100000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000001000001000000000000010000000000000000000001000000010000000000000010000000000000000000000000000000000000000000000000000000001000001000000001000100000000000000100000000000000000000000000000000000000000000000000000000000100010000000000000000000001000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000010000000000000000000000000000000100000000000000000000000000000000000000000010010000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010001000000100000000000000100000010000100000000000000000000000001000000000000100000000000000000000000000000000000000000000000100000000000000001000000000000000000000001010000000000100000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000001000000000001000000000000001000000000000000000001000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000001000100100000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000100000101000000000000000100000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000001000000000000101000000000001000100001000000000000000000000000000000000000100000000000000000000000000000100000000011000000000000000000000000000010000000000000000000000000000010000000000000000010000000000000000000000000100000001000000000000000000000001000000000000000000000000000101000000000000000000000010000000000000000000000000010010000000010000000000100000000000000000000000000000000000000001000000000000000000000000000000010000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000100000000000000100000000000000000000010000000000000100000000000000000000000000100000000100000000000000000000001000000000000010000000000000000001000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000001000000000000001000100000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000001000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000010000000000000100010000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000001000000000000000001000000000000000000100000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000010010000100000000000010000000000000000000000000100100000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000010000000000000100100000000000000000000000000000000000000000000000000010000000000000000000000000100100000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000100000000010000000000000000001000000000001000000000000000000000000000010000001000000000000000000000000000000000100000000000000000001011000000000000000000000100100000000000000000010000000000000000000000000000010000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000100000000000000000000000000000000100000000000000000000000000000000100000000000000000000100000001000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000010000000000000000000000000000000000101000000000000001000000000000001000000000000000000000000000000000000000010100001000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000110000000100000000000000000000000000001000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000010000000100000000000000000000100000000000000000100000000000000000000000001000000000000000000100000000001000000000000000000000000000000100000000010000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000010000010000000000000000011000000000000000010000000000000000000000000000000000000000000000000100000000000000000100000000100000000000000000010000000000000000100000000000000000000000000010000000000000000000000000100000000000000000001000010000000000000000000100000000001000000000000000000000001000000010000000000100000000000000000000000000000000000000000010001000101010000001000000000010000000000000000000010000010000000010000000000100000000000000000000001000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000001010000000000000000000000010000000000001000000001001000000000000000000000000010100000100000000000000010010000000000000000010000000000000000000000100000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000100000000000000000000000000000000000000000000000010000000000000000000000100000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000010000010000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000100100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000010001000000000000000000000000000000000100000010000000010000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000100000000100000000100000010000000000000000000000110000000000001000000000100000000000000000000100000000000000010000000000000000000000000000000000000000000100000000000100000000100000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000001000000000000000000000010000000000000000000000000000011000000000000000000000000100010000000000101000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000100000011000000000000000000000000000000000000010000001000000000000000000001000000000000000000000000000000000000000010000001001011000000000001000100100000000000000000000000000000000000000000000000000000000000000000100000100000001000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000100000000100000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010010000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000100000000000000010000000000000000000001000000000000000000000000000000000000100000000001000001000000000000000000000000010000000100000000000000000000000100000100000000000010000000000000000000101000000000000001000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000100001000000000000000000000000000000000000000000000011000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000001010000000000000000000000000000010000001000000000000011000000000000010000000010100000000000000001010000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000010010000000000001000000000000000000000000000001000000100000000000000000000000010000000000000000000000100000100000001000000000000000010000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000010000000000000000000000100000100000000000010000001000000000001000000000000000000000000000010000000000000000000000000000000010000000100000000000000000000100000000000000000000000000100000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000011000000010000000000000001000000000000000000100000000000000000000000000000000000100000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000001000000100000000000000000000001000000000100000000000001000100000010000000000000000000000010000000000000010000110000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000010000000000000000001001000000000000000000000000000000001001000000000010000000000100000000010000000000000000000000000000000010000000100000010000000000000000000000000000000000000000000000000000000000000100000010010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000001100010000000001000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000100000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000010000010000000000000000000000000000001000000000010001000000000000000000100000000000000000000100000000000000000000100000010000000000000000000000001000000000000001000001000000000010000000000000000000000000000000000100000000001010001000000000000000000000000000000000000001000000001000000000000000010000100000000000000000000000000000010000010000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000001000000000000100000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000010000000000000001000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000001000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000010010000000000000000000000000000000000000001000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000001001000000000100000000000000000000000000000001000000001000000000000000000000000001000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000001000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100100000000000000000010000000000000000100000000000000000000000000000100010000000100000000000000010010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000100000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000010100000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001100000010000000001000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000001000000010000010000000000000000100000000100000000000100000000100000001000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000010100000000000000010000000000000001000000000000000000000000010000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000010000000000000000001000000001000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000011000000000000000000000000001000000010000000000010000000010000001000000000000000000100000000000000000000001010000000000000000000000000000000000010000001001000000000000000000000000000001100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010001000000000000000000000000100001000000000000000000000000000000100000000000000000000000000010000000000000001000000010000000100100100100000000000000000000001010001000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000001010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000010000100000000000000100100000000000000000000000000001000000001000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000100000000001000000000000010000000000001000000000000000000000000000000000000001000000000000000000000110000000000010000000000000000000000000000000000000000000000000000000000000000001010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000001000010000000000000000000000000000000110000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010100000000000000100000000000000010001000000000000000000000000000000000000000010000000000001010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000110000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000100000000000000000000000000100000000000000000000100000000000000001000000000010000000000001000000000100000000100000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000010000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000100100000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001100010000000000000000001000011100000000000000000000000000000000000000000000000001000000010000100000000000000000000000001000000000000000000000000000000001000000000000000000100000000001000000000000000000000010000000000000000000000000000000010000000000100000010001000000000000000010000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000001110000000000000000010000000000010000000000000000000010000000000000000000000100000000000000010000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000001000101000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000100000000000000000000000000000000001000010000000000000000000000000000000000000100000000000000000000000000000000000100100000000000000000000000000000100000000000000000000000000000000000000000001000110000000000000000100000000000000000000000000000000000001000000000000000000100000000001010000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000100000000000000001010000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000010000000000100000000000000101100110000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000010000000100000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000010000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000001000000000001000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000010000000000001000000000001000000000000000000000000000000000010000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000010000001000000000000000000000100000000000001100000000100000100000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000101000000000000000000001000000000000000000001000000000010100000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000001000001000000100000000010000000000000000000000000100000000000100100000000000000000000000000000100000000000000000000100000010010000000000000000000000000010000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000001010000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000010000000000000000011000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100100000001010000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000010010001000000000001000000000000000000000000000000000000000000001000000000000100000000000000010000000000000001000000000000000000000000000100000000000000000000010000000000000000000000000000010000000000000001000000000000000000000000000000101000010000000000010000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001100000001010000000000000010000000000000000000000000000000000000000000000000000101001000000000000000000000000000000000000000000100000000010000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000010010000100000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000010000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000100011000000000000000000000000000000000000000000000000000000000000000000000100010000000100000000000100000000000000000000010000000000000000100000000001000010000000000000000010000000000000100000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001100000000000010001000000000000001000000000000000100000001000000000000100000000000000000000000000000000000000000000100010000000000000000000100000010000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000010000000000000000000000000000000000000000000000010000000000000000000000100010000000000000000000010000000100000000000010000000000000000000000001000000000000000001100000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000010000000000000000000000000000010000000001000000000000000000000000000010000000000000000000000000001000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000010000000000000000010000000000000000000000000000000000000000001000000000000000010000000001000000000000000000000000100000000000000001000000010000000000000000011101000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000010100000000000000000000001000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001100000000000000000000000000001000000000000000000000000000000000000000000000000100000000001000000000000000000000000000001000000000000001000100000000000000000000000000000000110000000000000000000100000000000000000100000000000000000000000000000000000000000001000000000000000000000001000001000100000000000000010000000000000000001000000000000000000000001000000100000000000000000000000000001000010000000100000000000000000000100000000000000000000000000000100000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000010000000000000000000000000000001000000000000000000000010000100000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000001000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000010000000000000000000000000000100010000000000000000000010000000100000010000000000000000000000000000000100000010000000000010001000000000000000000000000000000010000000000000000000000000000100000000100000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000001000000000000100000000000000000000000000000000000000100000000000000000000000000100000010000000000000000000000000100000000000000000000000000000000010000000000000000000010000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000010100000000000000000000001000000001100000000010000000000000100000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000100000000000001100000000010100000000000000000000000000000000000001000000000000000000000100000000000000000000000100000000000010000000000000000000000000000000000000001000000000000000001010000000100010010000000000000000000000000000000000000000000000000000000000000000000001000000100000001000000001000000000000000110000000000000000000000000000001000000000000000000000000000000000000100100000000000000000000000000000000000000100000000000000000000000000001000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000010100000000000000000000000000000001000001000000000000000000001000100000000010000000000000100000000000000000000000000001000000000000000001000000000000000000000000000000000001000000000000000000000000000000000010010000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000100000000000000000000000100000000000000000000100000000010000000000000000000000000001000000000000000000000000000000100100000000000000000001000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000001000000000000000000000000001000000010000000000001000010000000000000000000001000000000000000010000000000000000000000000000000000101000000010000000000000001000000000000100000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000001000001000000010000000000000000000000100000000000100000000001000000000010100000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000010000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000001000000000010000001011000010001100000000000010000000100000000001000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000010000000000000000000000010000000000000000000010000000000000000000000010000000100000000000000000000000000000000100000000000000000000000000000010100000000010100000000000000000000000000100000001000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000100000000000000100000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001001000000000000000000000000000000000000010000100000000000110000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000101000000000000000000000000011000000000100000000000000000000100000000000000000000000000000100000000100000000000000000000000000000001000000010000100000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000010000000100000000000100000000100000000000000000000000000000000000000000010000010000100000000000010000000000000100000000000000000000000000000000000010000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100011000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000010000000000000000000000000000000000000000010000000010001000000000000000000000000000000000000000000000000000100000000100000000110010000000000000000000000000000000000000010000000000000000000010000000000000000000100000000000000001000000000000000000000000000010000000000000000000000000000010000100000000000000000000000000001000000000000000000100000001000110010000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000010000010010000000000000000000000000000000000000000000000000000000001000000000001001000000000000000010000000000000000000000000100000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000010100000000000000000000001000000100000000000000000000000000000000000000000000000010000001000000010011000000000000000000000000000000000000000010000000000000000000000000000000000000010000000100000000000000100000000101000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000101100100000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000100000001000000000000000000001000000000000000000000001100000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010001000000010000000000000000000000100000000010010000000000000000100000000000000000010000000000010000000000000000000000000000000000000000000100100000010000101000000000000000000010000000000000000010000000000100000000000100000000000000000000000000000100000000000010000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000110000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000100000000000000000000100000000001000000000101000000100000000100000000000000000001000000110000000000101000000000000000000000000000000000000000000100010000000000000000000000100000001000000010000000000010000000010000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000001001000000000000001000000010000001000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000001000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000010010000000001000000000000010000000000000000000100000010000000000001000000000000000000000000000000000000000000000010000000000010000000000001000000000000100000000000000000000000000000000000001000000100000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000011000001000000000000000000000000100000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000100000000000100000000000000000000010000001000000000000000000000000100000000000000000000000000101010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000100001000000000000001000000000100000000000000000000000000100000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000010000000000000010000000000000000000000001000000100000000000000000000000000000000000000001010000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000100000001000000100100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000010001000000000010000000001000010000000010000100000000010000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000100000000000000000000000000001000000000000001000000000000000000000000000000000100000000000000000000000001000000000010000000000000000000000000000000000000000100000000000000000000000011000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000001000000000000000000010000000010000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000101000000100100000000000000001000000000000000000100000000100001000000000000000000000000000000000000000000100010000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000100000000000001000000000000100000100000000000000100000000000000000001000000000000001000000000100000000000010000000000000000000000000000010000000000000100000000000000000001000000000000000010000000000000000000000000000010000000000000000011000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000010000000000000000000100000000100000000000000000000000000000000000000000000000000000000000010000000000000000100000000000100000001000010000001000000000000000000000000000000000000000000100000000000000001000000010000000000000000000000100000100000000000000000000000000000000000000000000001000010000000000001000000100000000000100000000000000000000000000000000000000000000000001000000000010000000000010000000000000000000000000000000000000000000000100001001000000000010000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000001000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000010000000100000000000000010000000000001000000000000000000000000100100000000000000000000000000010000000000000000000000000000000000100000000000000000010000000000000000000000000000001000100000000000000000100000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000001000000000001000000100000100010000100000001000010000000000000001000001000000000000000000000000000010000000000000000001000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000100000000000000000000000000000000000010000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000100000010000000000000000000000000000010000010000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000010000000000000000000001000010000000000000000000000010000000000000000010000000000000000000000000100000000000000001000000000000000000000000000000000000000001001000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000010000000000000000000000000010000000001000000000000000001000000010000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000011000000000000000000000000000000000000000000100000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000010000000000101000000000001000000000001000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000110000000000000001000100000000000010100000000000000000000000000000001000000000000000000000000000001000000000010000000000000001000000100000000000000100000000000000000000000000000000000000000000000000000100010000000000010000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000100000000000000000000001000000000000000000000000010000000000000001000000000000000001000000000000000000000010000000000000000000000000000000011000000000000000000000000000001000000000100000000000000000000000000001010000000000000010000000000000000000000000000001000000000000000010000011010000000000000000010000000000000000000000000000000000001000000000000000101000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000010000000000000000000000000000000100000000000000000010000000010000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000001000000100000000000000000000000000000000000000000000000000000000000010000000000010000000100000000010100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000001010000000000000001000000100000000000000010000000000000000000000000001000000000000000001000100000000000000010100000000100010000000000000000000000000100000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000100100000001000000000000000000000010100000010000000000000000001000000001000000000000000000000000000000000000000000010000011000000000000000000000000000000000000000000000000011000000100000100000000000000001000000000000000000000000010000000000000000000000000000000000000000101000001000000000000000000000000001010001000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000010000000000001000000000000000010010000000000000000000000000101000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000010000000000100001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000010000000000000000000100000000001000000000000000000000000000000000000000000000000000000000010000000001000000000001000010000000000000000001010010000000000000001000000000000000000000000000001000100010000000000000100000000000000001000000000000000000000000000000000000100000000000000000000000000000000000110000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000100000010000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000100000000010000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000001000000000010000000000000000000000000000000000000000000000000000000001001000100010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000100010000000000000000000000000000000000000001000000100000000000000000000000000000100000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000100000000000000000000000001000000000000000000010000000100000000001000000000000100000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000100000000000000000001000000000000000000000001000000000000000000000000000100000000000010000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000010000000001000000000000010000100000000001000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000001000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000001000000000000000000000000000000000000000000000010010000010000000000000000000000000000000000000000000000000000000001100000000010001000000010001000000000000001000000100000000000000000110000000000000000010000000001000100000000000000000000000000000000010000000011000000000000000000000000100000000100000100100000000000000000000000000100000000100000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000110000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000010000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000110000000010000000000000000000000010000000000000000000000000000000000000000000000000000010000000010001000000000000100000010000000000000000000000000000000000000001000000000000000000000010000000000010000000000000000010010000001000000000000000000000000000000000001000000000000000000100000000100000001100100000000000010000000000001000000000000000000000000000001000010000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100010000000000000000100000000001000000001000000000000000000000000000000000000000010001000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000001000010000100000000010000010000000000000000010000000000000000000000101000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000100000000000000000000000000001000000000000000000001000001000100000000000000000000000000000000000000100000000000100000000000000000000000000000000100001000000000000000001000000000000000000000000000000000000001000100000000000000110000000000000000000000000000000000000100010000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000010000100000000000000000100000000010000000000000000000000000001000001000000000000000000000000010000000000000001010000010000000000000000000100000000000100000100000001000000000100000000000000000001000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000011000000000001000000000000000000000000000000000000000000100000000000001000000001000000000000000100001000000000000000100000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000001000000000000000000100001000000000000000000000000000000000000010000000000000000000000000000000000000000000010000100000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000010000000000010000000000000000000010000000000000000100000000000000000000100000000100000000000010000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000100000000000000000101000000000000000000000000000001000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000010000000000000010000000000000000000000000100000000000000100000000000001000000101000000000010000100000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000010000000010000000000000000000000000000000000011001000000000000000000000000010000000001000010000000000000000100000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000001000000000000000000000000000111000000000000000101000001000000001000000000000000000000000100000000000000000000000000000100000000001000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100100001000000000000000000000000000000000001001000000000000000000000100000000000000000000000000000000000000000000000011001000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000100100000000000000000000000001000000010000000000000000000000000000000000000000000000000000000010000000000010000000101000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100001000000010000000000000000001000000000000000000100000000000000000000000000000010000000010000010001010000100000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000100000010000100000000000000000000000000000000100000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000010100000001000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000100000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000100000000000000010100000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000001000000000000000010000000000000000001010000000000000001000010000101000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010011000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000001000010000100000000000010000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000001000000000000100000000000000000000000000000100001000000000001000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000001000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000100000000000000010000000000000110000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001100000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000001010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000100000000000001000001010000001000000000000000001000000000000000000000000000010000000000000000010000000000000001000000000000000000000100000000000000000000000000000100000000100000000000000100000000000000000000001000000100000000000000000000000000000000000000000000100010000000000000000010000000000000000000001000000001000000000000010000000000000000000000000001000000000000100000000000000010000000000000000000000000000000000000000000100000000001000000000000001000000001000000000000000000010000000000000000000000000000000001000000000000000000000000000000 0000000000000000000000000001000000000000100000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000100001000000000000000000100100000000001000000000000000000000100000010000000000000000000000000000000000010000000000000001000000000000000000010000000010000000000000000000000000100000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000100000000000000000000001000000000000000000000000000000000000000000100000000010000000000000100000000000001000000001000000000000001010000000000000000000001000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000001000000000000000001000000001000000000000000000000000000000000000000000000000010000000000000000000000001001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000100010000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000010000000100000000000100000000000000000000001000100000000000000000000000100000000000000000000000000000000001000010000001000000000000000000000000000000000000011000000000000000000000000000001010000000000000000000000000000000001000000000000100000000000000000000000000000000000001000000000000000000000000001100000000000000000000010000000000010000000000000000000010000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000001000000000000000000000000000000000000000000000000000000000000000011000000000000000000000010000000010000000000000000000000100000010000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000010000000000000011000000001000001000000000010001000000000000100000000001000000000010000000010000000000001000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000010000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000010000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000110000000010000110000000000000000000000000000000000000001000000000000100000000011000000000001000000010000000000000000000000000000010000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000001000000000000000000000001000000000000000000100000000000000100000000010010000000000000000000001001000000000000000000000000000000000000100010000000000000000100000000000001000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000010000000000000000001000000000000000000010000000000001000010000000010000000100000000000000000000000001000000010000000000100010000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000001001000000010000000000000100000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000001101000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000001010000000000000000000000000000000000000000000000000000000000000000000001100000000010000010000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000001000000000100000000000010000000001010000000010000000000000000000000000000000001000000000000010010010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001101000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000001000000010000000000000000000010000000000000000000000001000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000001000000000000000000000000000000000010000000000000000000000100001000000100000000000100001000000000000000100000001000000000000000001000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000010000001000000000000001000000010000000000000000000000000000000000010000000000000000000000000000000000000000000100000001000000000000000000000000000000011000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000010001000000000010000100000010000001000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000110000001000000011000001000000100000000000010000000000000000000000000000000000100000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010100000000000000000000000100001000000000000000000000000010100000000001100000100000000000000000100000000000000000000000000000000000000010000000001000010000000000000000100000000000000000000000000000010000000000010001000001000000000000000000010000010000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000100010000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000001000000110000000000000000000000001000000000000000000000000000000000100000000000001000000000000000100000000100000000000000000000000000000000000100000000000001001000000000000000001000000000000000000000000100000000001000000000010000100000000000000000000000100000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000010000000000000000000000000000000000000000000000000000110000000000001000000000000000000001100000000000000000000010000000000000000000000000010000000000000000000000001000000000000000000000000010000000000000000000000100000000000000000000000000000000000001010000000000000000000000000000000000000000000001000000100000000000000000000001000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000010000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000001000000000000001000000000000000000000010000000000000000000000000001000000000000100000000010010000000000100000010000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000001000000000000000001000000001000000000000000000000100001000000000000000101100000000010000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000010000000000000000000000010000100001100000000000000000000001000000000000000000000000000000000000001000000100000000001000000000000000000000000000000000000000010000000000000000000000001000000000001001000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000010000000100000000100000000000000100000000000000000010010000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000010010000010000000000000000000010000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000001000000000100000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000010000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000001000010000001000000000000000000000100000000000000000000000010000000000000000000000000000000100100010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000010000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000100000000000000000000000000000000001000000000000001000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000100000000000010000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000010000000000001000000000000000000000011000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000110000000000000000000000000000000000000000000000100000010000000000000000000000100000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000001000000000000001000000000100000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000100000000001000100000100000000001000000000000000000000000000100001000000000000000000000001000000100000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000100000000000000000010000000000000000000000000000000000100000000000000000000000010010000000000000000100000000000001000000000000000000000010010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000001000000000010000000010000000000000000001000001000000001000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000010000000000000000000000000000001010010000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000100000000101000100000000000000000000000000000000000000000000000000000010000000000001000000000000000010000000000000000000000001000000000000000000000000000000001000000100000000000000000000000000000000001000000000000100000000100000000100000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000010000000000100000000001000000000000000100000000000000000000100000000000000000001000000001000000001000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000100000001000000000010000000000010000000000000000000000100000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000100000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000010001000000000000000000000000000100000000000000000000000001000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000001000000010000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000100000001000000000000100000000000000010000000000000001000000000001000000000000000000000000000000000000000000000101000000000000000000000000000000000000001000000000000000000000000000000000000010000000010000100000110000000000000100000000000000000010000000000010000000000010000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000100000000000000000000000000000000000000010000000110000000000000000000000000000001000000000000000000010000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000010000000110000000000000000000000000001000100100100000000000000000000010000000000000000000000000000001000000000000000000100000000000000000000000000100000000000000001010000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000101000000000000000010000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000100010000000000000000000010000000000000000000000101000100000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000100000000100000000011000000000000000000000000000000000000110000000000000000000000001000000000000000000100000000000000000100000000000000000000000000000000000100110000000000000000000000000000000000000000000001000000000001000000000000000000101000000000000100000000000000000000000000000000000000000101000000000000000000000000000000000010000001000000001000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000100000000000100000001000001000000000000000001001000000000000100000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000100000000000100000000000000000000000000001000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000100000000000000000000000000000010000000000000000001000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000010010100000000001000000000000000000000000000000000000000010000000000001001000000011010000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000001000001000000000000101000100000010000000000000000000000000000000000000000000000100000000000000000000000000001000000010000000001000000000000000000000000010000000000000000000000000000000010000100000000000100000000000000001000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000110001010000000000010000000100000001000000001000000000010000000000000000000000000000000000000000010000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000010000000001000011000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000001000000000010000000000010000000000000000100000000000000000000000000000000100000000000000000000000100000000000001000000000000000000000000000001000010000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000001000000000000000000001000000000100000000100000100000000000000000000000000000000000000000000000000000000100100000010000000000000000100000000000000000000101000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000100100000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100001000000000000000001000000000000000000000000000000000000000010000000000100000000000000000000000000000100010000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000001100000000000001010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000011000001000010000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000100000000000000000000000100100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000100100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000010000000000000000000000000000001000000000000000000000001000000000000000000000100000000000000000001000000000010000000000000000000000000000000000000000000000000000000001000000000100000001000000000001010000000000000000000000100000000001100000000000000000001000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000100000000000001100000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000010000000000000000000000010000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000110000000000000000010000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000110000000100000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000100000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000011000000001000000000000000010000000000000100000000000000000100000000000000100000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000001000000000000100000000000000011000000100000000001000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000100001010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000100000000000000000000000010000000000000000000000000000000100000000000000000000000000000000001001000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000001000000000001000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100010010100000000000000000000000000000100000000000000000000000000000000000000000100000001000100000000000000000000000000000000000000000000010000000000001000001000000000010000000100000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000001000000000000000000000001000000000000000000000000001000000000000110000001000000000000000000000000000000000000010000000000000000000000001000000000000000000001000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001100000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000010000000010000000000001000000000000000000000001000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000010000000000000000100000010000000000001000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000010010000001000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000011000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000101000010000010001000000000000000100000000000000000000000000010010000000000010000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000001000000000000000001000000000000000000000000000100000000000000000000000000000000000000001000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000010000000001000000000000000001000010000000000000100000000100000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000110000000000000000000010100000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000010000000000000000001010000010000000000000000000000010000001000000000000000000000010000000000000000000000000000000000000000101000000000000000010000000000000001000000000000000000000000100000000100000000000000001000000000000000000000000010000000010000000010000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000100000100000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000010001000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000010000000100000000100000000001000000000000000000000000100000000000000000000100000001000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000100100000000000000000000010000000000010000000000000000000000000000000000000000100000000000000000000000000100000100000000000000000000000100000000000000100000000000000000000000000000000000000000000000000010001000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000010000000000000001000000010001000000000000000000000010000000000000100000000000010000000000000000000000000000000000000000010000000100111000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000001010000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000100000000000000000010000000000000001000000000101000000000000000000000000100000001000000000000000100010000000000001000000000100000000000000000000000001000000010100000000000000000000000000000001010000000000000000000000000000000000000000000000000000101000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000100100000000000000010000000000000000000001000000000000000000000100000000000000000000000000000000000000001000000100000000000000000000100000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000100000000010000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000100000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000100100000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000001000000000100000000000000000000000000000000000000100100000000000000100000001000010000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000001000000100000000100010001000000000001000000000000000000000001000000000000000000000000001000000100000000000000000000000000000000000000000010000000001000000001000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000001000001000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000100000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000100010000000000100000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000100000000000000010000000000001000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100010010000001000000000000010101000000100000010001100000100000000000000000000000000010000011000000000000000000000000000000000000000000000000000011000001000000001000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000001000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000001000000000000000000000000000000010000010000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000001000000000000000000001000000000000100000100000000000000000000000000000000000000000000000000001000000000000000000000100001000000000000010000000010000000000000000000000010000000000000000000000000010000000000000000100000000000000000000000100000000000000000000010000000000000000000000000010000000000000001010000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000011000000000000000000000000000010100000000000010000000000000000000010000000000000000000000000000000000000000000000001000101000000000000000000101000000000000000000100000000000000000000100010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000100000000000100000000011000000000000000001000000000000000000000000010000001000000000000000000000000000010000000000000000000000000000100000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000100000000000000010001000100000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000100000000000000000000001000110000000000000000000000000000000000000000000001100000000000000000001000001000000000000000000010001000000000000000001000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000010000000000000000000000000000001000000000000100000000000000000000000000000000001000000000000001000000000000100000000000000000000000000000000000000000000000000000000000100000000001001000000000000000000000000000000000000000000000010000010000000100000000000000000001001001000000000000000000001000000000100001000000000000000010000000000000000001010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001011000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100001000100100000000000000001000000000000000000000000000000000000010000000000100000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000100000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001001100000000000000001000000000000000000000000100000000100000000000000000000000000000000000000000011010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000010000000000000000000000000001000000000000000000000000000000001000000000000000000100101000000000000000000000000010000000000000000000000000000000000000100000000001100000000000000001000000000000000000000000001001101000100000000000000000000010100000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000010000110000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000010000000000001000010000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000100000010000000000000000010000000000000000000000010000000000000000000000010000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000010000000000000000100000000000000000000010000000000000101000000000100001000000000000100000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000010000000000000000000000000000000000000010010000000000000000000001000000000000000000100000000000001000000000000000000000000010001000000000000000000000000000000000001000000001000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000010000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000010000000100001000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001100010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000010000000000000000000000000000100000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000100000000000000000000000000000000001000000000000000001000010000000001000010000000000000000000000000000100010000000000000000000000000000000000000001000000000000000000001000000000000000001000001000001010100000001000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000010000000001000000000000000000000000010010000010000000000000000000000000001000000000000000100000000001000000000000000001000000000000000001000000001000000000000000000000000100000000000001000001000000000000000000000100000000000000100000000000000000000011100000000000000000000000001000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000010000000000101000000000100000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000010000000000010000000001000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000100000000000000000000100000000000000011000000000000000000000000000000000000000000100001000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000001001001001000000000000000000000000000000010000000000000000000000000000000000000000000000001000000001000010100000000000000000000000000001000010000000000000000000000000000000000000000000000000011000000000000000000000000000000100000000000001000100000000000010000000000000000000000000000000000000000000000010000010000000000000000000000100000000000000000100000000000000000010000000000000000000000000001000000000000000000000000000010000110000000000000000000000010000000000010010000000100000000000000000000000000010100010000000000100000000000000000000000000000000000000010000000000000010000000000100000000000000000000000000000010000000000001000000000000000010000100000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000100000010000000001000000001000000000000000000000000000000000000000000010100000000000001000000000000000000000000010000100000000000000000000000000010000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000110000000000010000000000000000000000000000000000000000000000000000000000001000000100100000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000100000000000100000000000000000000000000000000000000000000100000000000000000000000000000000100000000100000000000001000000000000000000000000000000000000100010000000000100000000000000000000010000000100000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000001000000010000100000000010000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000001100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000100100000000000000000000000100010000010000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000010000100001000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000001000000000000000000000000010000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010001000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000010000000000000000000000010000000000000000010000000101000000000000000000000000001000000001000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000001000100000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000100000000000000000010000000000000000000000000000000011000000000000000000000000000000000000000100000000000000000010000000000000000000000000100001000000000000000000001000000000000000000000000000000000000000000000010010000000000000000000100000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000100000000001000000010000001000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000001000000010000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000010001100000000100000000100000000001000000000010000000000100000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000100000000000000000000000001001000000000000000000000000000000000010100000000000000000100000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000100000001000000000000000000000000000000010000100000000100000000000000000000000000010100000000000000010000000000000000000100000000000000000000000000000000000000000010000100000100000000000000000000000000000000000000000000001110000010000000000010000000000000000000000000010000000100000001000000000000000000000000000000000000001000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000010000000010000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000010000000100000000000100000000000000000000000000000100000000000000000000000000000000100000000100100000000000000000000000100101000000000000000000100000000010000010000000001001000000010000000000000000000000000000000000000000000000100010010000000000000001000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000100000010000000000100001000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000010100000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000001000000001000100000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000100000001000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000001010100000001000000000000000000000000000010000000000000010000000000000100000000000000000000000000000000000000000000010000000000000000000100000000100000001000010000000000000000000000000000100000000000000000010000100000100000010000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000010000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000001000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000010000000000000000000000000000000000000010000000001000000000000100000000000000100000000000001000000000100000000100000001000000000000000000001000000000010000010000000000000000000000000000000000000000000000000000000100000000000000000000000000100001110000000000100000010000000000000000000100000000000000000000001100000000000000000000000000000100000000000000000000000100000000000000000001010010000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000100000000010000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000010010000010000000001000000000000000000010000000000000000001000000001000000000000000000000000000001000000000010000000000000000010000100000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000001000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000010000000100000000000000010000000000000000100000000000000000010000000000010000000000000000000000010000000000000000000000000000000000000000000000100000000000100000000000000000000000000000100000000001000000000000000001000000000000001000100000000000000001000000000000000000000010000000000000000000000000000000000000100000000010000000100000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000100000000000000010000000000000000000000010001000001000001000000000000000000001010000000000000000000000000001000010000000000000000100000000000000000000000010000000000000001000000000000000000000000000000000001000000100000000000000000100000000000000000000000000000000000000000010000000100000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000100000000100000000100000000000100000000000000000000000000001000000000000000000000000000000000010100000001000000000000000000000000000000000000000000000000000000100001000000000000010000000000000000100000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000010000000000010000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000100000001010000000000000000000001000000000100000101000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000010000010010000000100000000000000000000001000000000000010000000000000000000000000000101000000100000000000000000000000000000000000000000000000000010001000000000000000001000000001000000000000000000000000000000000000001000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000010000000100001010001000000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000001000000000000000001000000000000000000010000010001000000000000000001000000000000000000000000010000000000000100000000000000000000110000000000000001000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000001001000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000100000000000010001000000000000000100000000000000001000000010000000000000000000000000000000000000010000000001000100000001000000000000000100010000100001000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000010110000000000000000000000001000000000000000000000000010000000000000000000000000000010000000000100000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001010000000100000000000001000000000000000000000010000001000000000000100000010000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000100010000000000000000000000000001000000000000000000000100100000000000000000000000000000000000000001000000100000100000000001100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000100000000000000000100000100000000000001100000000000000000000000000001000000000000000000000000000000000001000000000000001000000001000010000000000000001000000000011000000000000000000000000010000000000000000000100000000101000001000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000001000100000000000000000000000000000000000000000000000000000000011000000000010000000000000000001000000000000000000000010000000000000000000101000000001000000000000000000000100000010000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000001000000100000001000000010000000000000000000000001000000010000000000000000010000000000000001000001000000000000000000000000000100000000000000000000001001000000000001100000000000010000000000000000000000000000000000000000010000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000100000000000000010000000000000000000000000000000000011000000000000000010000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000001000000101000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000001000000000000010000100000100000000000000000000000000000000000010000000000100000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010001000000000000000000000100000000000001000000000000000000000001001000000000000010001100000000000000000000001000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000010000010000000000000000000001000000000010000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000010001000000000100000000000000000000000100000000000000000000100000000000000100000000000000000000000000000000100000000000000000000000000000000000001000001000000000000000000000010000001010000000000000000000000000000100000000000000000000000000100000000010000000010000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001001000000000000000100000000000000000001001000010000000000000000000010000000000000001000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000010010000000000000000000000000000000100000000000000000000000000010000001010000000001000000000000000001000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000010000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000100000001000100000000100000000000000000001001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000100000000000000000000000001000000000000001000000100000100000000000000000000000000000000000000000000000100000000100000000100000000000100000000000000000000000001000000000100100000100000000000000000000000000000000000000000000000000000000011000000000000100000000000000000000000100000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000010000000000000010000000000000101000000001000000000000000000000000000000000000000000000010000000000000000110000000000000000000010000000000000010000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000001010000001000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100010000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001010000000000100000001000000000100000000000000000010000000000000000000000000000100000100000100001000000000100000000000000000000000000001000001000000000000000000000000000000000100000000000010000001000000000000000000000000000000000000000000000000100000000000000000000010000100000001010000000000000000000000001000100000000000000000000000000100000000000000000000001000000000000000000000000000000001000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000010000100000000000000000000000000000000000010100000000000100000000000000001000000000000000000000000000101001000000000000000000100000100010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000001000000000000000000000001000000000000000000010000000000000000000000000000010000000000001010000000000000000000000000000000000000000000000000000000001000000000000010000010000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000001000000001000000000000000100000000000000000010000000100000000000000000000000010000000000100100000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000001000000001000000000000000000000000000000010000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000100000100000000100000100000010000001000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000001000100000000010000000100000000000000000000000010000010000000000000011010000000000000000000000000000110000100000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000100000000000000001000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000100000000000000000000000000000000000100100000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000110000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000100000000000000000000001000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000010110000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010101000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000010000000000000000100000000000000000100001000000001000000000000000000000000000000000000000000100000000000000000100000000000001000000000000001000000000000000000000000000001000000000000000000000000000000000000000000001000000000000001001000000000000000000000000000000100100000000000000000000000000000010100000000000000000000000000001000000000000000000010000000000000001000000000000001000000000000000000000000010000100000000000000000000000100010100000000000001000000000100000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000100000001000000100010010000000000000000100000000010000000000000000000000100000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100101000000010001000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000010000000001000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000100000000000000001000000000000000000100000000000000000000000010000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010100000100000000000000000000100000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000010000000000000000000001000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000001000000000001000000000100000000010000000000000001000000000000000000000000010000000000000000100000000000000000001000000000001000010000000000000001000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000100000000000000100000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000010000000000000001000010000000000000100000000100010000000000000100000000010000000000000000000001000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000001000000000010000000000000000000000000010000100000010000000000000000000000000000000000000010000000000100100100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000010000000000000010000000000000000000000000000000000000000000000000000000010000100000000000000000000001000000000000011000100000000000000000000001000000000000000100000000000000000000000000000000000000000000000100000001000100010000000000010000000000000000000010001001000000000000000000000000000000000000000000000001000001000001000000000000101000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000100000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000100000000000000000000100000000001000000000000000000000000000100000000000000000000000010010000000000000000000000000000000010000000000010000100000000000000000001000000100000000000000000000000000000000000000000000000000000000001010000000000000000101000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000010000100000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000100000000000000000100000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000101000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000010000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000100000010000000000000101000000100000000000000000000000000001100000000000000001000000000000000000000000000000000011000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000100000010000000000100000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000010000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000010000000000010000000000000000000000001000000000000000010000001000000000000000001000010000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000100010000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000010000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000001000010000100000000000000000100000000100000000001000000000000000000000100001000000000000000000100000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000100000000000000000001000101000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000100000011000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000001000000001001000000100000010000000000000000000000000000000000000000000000001000000000000001010000000001000000000000100000000000000000000000000000000000000000000000000000000000100010000000000000000000001000000000000000000000000000000000001000000000000000001000000000000000000000000000000100000000000000000000000000000100000000000000000100100000000000001000000000000000000000000010000000100000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100001100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000010000000100001000000000000001000000010001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000101000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000001000000000001000000110000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000010000000000000001000000000000000000000001000010000000000000000000000000000000100000000000000000010001000000000000000000000001001000000000000000000000001000000000010000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000001000000000100000000000001000000101000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010011001001000100000000000000000000000000010000010000000000000000000000000001000000010000000000000000000000000101000100000100000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000001000000000000000000000000000000000100000000000010000000000000010000000000000001100000000000000000000000001000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010001000000001000000000000000010000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000100010000000000000000000000000000000000000000000000000000010001000000000000100000000000010000000000000000001000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000010000000000000000000000000000010000000000000000000000000000000000000100000000000000100000000000000000000000000000000010010001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000100000000000000000000000000000000001001000000000100000000000000000000000000000000000010001000000001000000000000010100000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000110000000000001000000000000000001000000010000000000000000000000000000000000000000000010000000000000000010000010000000000000000000000000000000000000000000000000000000000001000000000000000000001000000000000100000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000010000000000000000000010100000000000000000000100000000000000001000000000000100000000000000000000000100000100000000000000000000001000000000000000000000000000000000000000000000000000000000100000000010000010000000000000000100000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000010000000000001000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000001000000100000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000010010000000000000000000000000010000000000000001000000000100000000000000000000001000000000000000000000000000000000001000000000000010000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000010000000000010000000000000000000000000000000000000010000000000000000000000000000000100000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000100100001000000000000000000000000000000000000000000000000000001000100000000000010000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000001000000000000000000000000000100000000000000000000000010010000000000010000000000000100100000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000010000000000001000000000001000000000000000000011000000000000000000000000001000010000000000000000000000010000100000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000001000000000000000010000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000100000000000000000110100000000000000000010000000000000000000000000010000000000010000000000000000000000000000000100000000000000000000000000000000001000000001000000000000010000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000100000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000001000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000100000000000100000000000000000000000000000000000000000100010000000000100000000000010000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000011010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000010010000000000000000000000000000000000100000000000000000010000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000100000000010000000100000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000010000000000000100000000000000000010000000000000000000000100000000000000000000001000000100001000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000001000000000000000000000000000000000010000000010000000000000000000001000000000000000000000001001000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001100000000000100010000000000000000000000000010000000000000000011000000000100000000000000000000000000100000000000000000000000010000001010000000000001000110100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000100000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000100000000010010000000000000000000000100010000000000000000000000000000000000000000000000000010000000100000001000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000100001000000000000000000000000000000000000000000000010000000000000000000000000000000001000010000001000000000000000000000000000000000000000000000000000100000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001001000000100100000100000000000000000000001000000000000000000000000000010000000000000000000000000000100000000000000000000000001000000000000100000000000000100000000000000000100000000001000000000000100000000000000000010100010000000010000100000010000000001000000001000000000000000000000000000000000001000001000000000110000000000000000000000000100010000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000001000000000100000000000000000000000000000001000000000000000000000000000000100000000000001000000000000001000000100000000000000000100010000000000000100000000100000000000010000000000000000100000000000000000000000000000000100000010000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000001000001000000000000000000000000001000100000000000000000000000000000000100000000000000001000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000100000010000000000000000000000100000000000100000000001100000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000010000000010000000100000000101001000000010011000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001010000000000000000010000000000010000000000000000000010000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000001000000000000110000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000010000000001000000000000000000000000100000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000001000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010100000000000001100000000000010000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100010000000000000000000000001100000000110000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000010000000000000000000000001000000010000000001000000000001000000000000000000000000000000000000000000000000010000000000000000000100000001000000000000000000000000100000000000000000000000000000000001010000000000000000000000001010000000100000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000001000000010000000000000000000000001000000000000010010000010000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000100000010000101000000000000000000000000000000000000000000010000000000000000001000010000000000010000000000000000001000000000000000000000000000000001000001000010000000000000000000000000000000000000000000000000000000000010000010000000000001100000000000000000000100000000000000000000000000000000000001000000000000000000000000000000110000000100000000000000000000000000010000000000000010000000010000000000000000000001000000000000000010000000000000000000000000000000000101000000001000000010000000000000000000000000000000000000000000000000000000000000001000000001000000000000000010011000100000000000000000000000000100000000000000000000000000000000000000001000000000000000010000010000000000000000100100000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000001000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010001000001100000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000001000000000000010000000110000000000000010000000000000010000000010000000000000000000000000000001000000000000000000000000011000000000100001000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000100000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001010000100010000000001000000000100000000000000000000100000100000000000000100000000000000000010000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000001000000000000000001000000000000000010000000000000000000000010000000000000000000000000001010000000000000000000000000000000000000000100010000000000000001000010000000000000001000000000000000000000000100000010000000010000000000000000000001000000000100000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000001000000000010000000010000000100001000000000000000010000000000000010000000000000000000000001001000000001000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000001000000000000001100000000000000000000000000000000000000000000000000000000000100000000001000110001010000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000010000000010000100000000000100000000000000000000000000010000000000000000000100001000000000000100000000000000000000000000000000000000010000000000000100000010000000000000000000110000000000000000000000000000010000000000000000000000000100000010000000000000000000000010000010000000000010010000010000000000000000000011000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000001000000000101000010000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000110000000001000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000100000000000000100000001000000001000000000000000000000000100010000000010000000000000000000000000000000000000000000000000000010000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000100000000000000000000000000000000110001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000001000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000001010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000010000000000000000001001000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000100000000000100000000000000000000010000000000000100000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000010010100000000000000000000000010000000010000000000010000000000000000000000000000000000010000000000000000000000000100000000000000100000000000100000000000000000000000000000000000000010100000000000000000100000000000000000000000000000000000000100000000001000000001000000000000100000000000000000000000000000000000000000000000000000000100000000000000100000001000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000100000000001000010011000000000100000000000000000000000000001000000000000000000001000000000000000000000000000001000000000100000000000000000010000000001000000010000000000000010000000000000000000000000000000000000000100000000000000010001001000000000000000010100000000000000000000000000000000010000000000000100000000000000000000000000000000000000000010000000000000000001100000000000000000000000000010000000000100000000000000000100000000000000000100001000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000010000000000000001000000000010000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000100000000000000000000001000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000100001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000010000000001000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000010000000000010000000000000001000000000000010000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000010000000000001000000000000000000000000100000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000010000000000000000000000000000000000001000000000100000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000010000000000000000000000000000000000000000000000000000100000000000000000100000100000100000000000000000000000000000000000000001000000000000000000001000000000000000000000000000010000000010010000000100000000000000000000000000000000000000000010000100000001000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000010000000000000000001000000000000000010001000000000100010010000000000000010000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000100010000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000001000000001000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000010000000010000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000100000000000000000000000010010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000100000000000000010000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000010000000001000100000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000010010000000000000000000000010000000000000000000000000000000000000000000000001000000000000000010000000100000000010000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000011000000000000001000000000000000000000000110000001000000000000001000000000001000000100000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000100000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000010000000000010000000000001000000000000000000000000000000000100000000000000000000100000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100001000000000001000010000000000000000001000000000000000100000000000000000000000010000000000000000000010000000001100000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000101000100000000000000000000000000001000100000000000000100000000000000000000000000000000000000000000000010000000100000001000010000000000000000000000000000101000000000000000000000000000000000000001000100000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000010010000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000100000000000000000001000000010000000000000000000000000000000011000000000001000000000000000000000000000000000010000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000010000000000000010000000000000000000010000000000100000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000010000000100010000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000001010000000110000000000000000000100000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000100000000000100000100001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000011000000000000000000000000100000000000000010000000000001000000000000000000000000000000000100000000000100000000000000000000100000000000000000000000000000000000000000000001000110000000000000000000000101000001000000000000010000000000100000000000100000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000111000000000001011000000000100000010000100000000000010000000000001000000010000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000011001000000000000000000000000000000000000000000000100000000000000001000000000000000001000000000101100100000000000000000000000000000000000000000000100000010000000000000000000000001000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100000010000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000010001000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001100001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000001100000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000001100000000000000000000010000000000100000100000000000001001000000001000001000000000000000000000001001000000000000000000000000000100010000000000000000000000000000000000000000000100000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000001000000000000000000000000000000000000000000000000000001000000000000000000000000001000100000000000000000000000000001000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000100100000000000000000000000000010000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000100100000000000000000000000000000000000000000000000000000000000010010000000000000000000100000000000000000000000000000000000000000010000100000000000001000000000100000000000000001010000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000011001000100000000000000000 0000000001000000000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000100010000000000000000000000000000000000000000000000000000000000001100000000000000000010000000010001000000000000000000000000000000000000000010000000010000001000000000000000000010000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000010000010000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000100000000000000001000100000000001000010000000000010000010000000000100000000000000110000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000010000000000010000100000000000100000000000000000000100000010100000100010000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000001000100000000000000000000010000000000000100001100000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000001000000010000000000000000000000000000000000000000000000000010000100000000000000000000000000001000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000100101000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000100000000000000000000000000010000000000000000000001100000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000001000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000100001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001001000000100001000010010000000001000000000010000000000000000000001000000000000001000000000000000000001000000000001000000000000000000000000001000000001000000000000000000001000000000000000001000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000001000000010000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000011000000010000000000000000000100000000000000000000000000000000010000010000000000000100000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000100001000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000010000010000000000000000000000000001101000000000000000000000000000000000010100000000000000001000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000010000100000000000001000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000010000010000000000000000000000000000000000010000000000000000000000000000000000000100000000000000001000100000000010000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000001000010000000000000000000000001000000000000000000000000000000000100000000000000000000001000000001000000001000000100000000000110000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000010000000000000000000000000000000000000010100000000000000000000000000000000000100000000000100000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000001000010000000000000000001001000000000000000000000000000100000000000000001000000000000000000001000000010001000000001000000000000000000000000000000001000000000000000000000000000000000100000000001000010010000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000010000000000000000001000000000000000000000100000000000000000000000010000000000000000000000100000010000000000000000000000000001000000000000000100000000000000000000010000000000010100010001000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000010000000000000000000000001000000000000100010000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000001000000000000000000000010000010001000001000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000001000000000000000010000000000001000000000000000000000000000000001000000001000000000000000000000000000011000000000000100000000000000000000000000000000000000100000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000010000000000000000000000100100000000000010000000000000000000000000000000000001000000000000000000000000110000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000001000000000000000000000100000000000100000100000000100000100000000000000000000000000000000000100000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000001000000000000000000000000100000000000000000000000000001000000000000000000000000000010000000000000010000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000100000000000000100000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010010000000000010000000001000000000000010000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000101000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000010000000000000000000000000000000000000000001000001000000000000000000000000000000100000001000000000001000000000000000000010000000000000000000000000000000000000000001000010000000000010010000100000000000000000000000000000001000000000000000000000000000000000000000010100001000000010000000000000000000100000000000001000000000000100000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000101010000000000000000000000000110000000010000000000000100001000001000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000010000000000000010000000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000100000000000001000000000000000000010000000000000000000000001000100000000000001000000000000000100100000000010101000000000000000000000000000000000000000010000000000000000000000000000000000000000000000110001000000000000000000000000000000000001000000000000010000010000100000000000000000000000000001000000010000000000000000000100000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000001000000000000000000000100000000000000000000000010001000001000000000000000000000001000000000000000000000000000000001000000000000000000000010000000000100000000000100000000000000000000001000000000000000000000000100000000000000000000100100010001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010110000000000011000000000000000000100000100000000000000000000000000000001000000000000000000010000000000000000000000000010000000000000000010000000000000000000000000010000000000000000000010001000000000000000000000000010000000000001000000000000000000000000000010000000000000000100100100000000000000000000000000000001000000000000000000000000000001100000000000000000100000000000000100010000000000000000000000000000000000000000000000000000000101000000000000000000000000010000000000000000000000000000000000100010000000100000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000000000000000101000000100000001000000100100000000000000001000000000010000000000000000000000000001000000000000010000000000000000000000000100000000000100010000000000000000000010001000000100000000100000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001001000000100000000000000000010000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000010010000100000000000000000000000000100000000000000000000000000000100000000000000001000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000001000000000000000000001000000000000000100000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000001000000000000000000000000000000001000010000000000010000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000011000000000001000000000000010000000010000000001000000000000001001000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000010000000001000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000010000000010000000000000000000000000000011000000000100000000000000000100100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000110000000000000000000001000000010010000000010000000000000000000000000000000000010000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000011000000000000000001000000001100100000000000000001000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000001000001000000000100100000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000110000000000000100010000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000100001000000000000000000001000001000000000100000000000000000000000010000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000010010000000000000000000000010000000000100000101000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000001000000000000010000000000100000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000010000000010000010000000000000010000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000010000000000000001000000000010010000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010010000000000000000000000011000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000100001000000000000000000000000000000000100000000000001000001000000100000000000000000010000000000000000000000010000000000000000010000000000000000001000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000010000000000000000000000000001000000100000000000100010010000000000011000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000010000000000000000000000001000001000000000000000000000000010000000000000000000000001000000000000000000000100000000000000000001000000000000100000000000010000010000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000001000100000000000000100000000000000000000000000000000000000000000000000000000000000000100001000001000000000000000000000000000000000000000000000000000010000000000000000100000000000010001000000010000000000000000000010000000000000000000001000000000000000000000000000000000010000000000000010000000100000000000000000000000001000000000000000000000000001000000100000000001000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000010010000000001000000100010010000000000000000000001000000000000000000000000000000000000000010001000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000010000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000100000000000000100000000000100000000000000000000000000000000000000000000000000000000001000000000000000000010000100010000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000100000010000000000000100000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000001000000000000000000000000000000100000001010000000000000010000000000000010000000000000000000010100000000000000000000010000100000000000000000000000000000000000000000000000000000000000100000001000000000000000010000000000000000010000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000010000000000000000100000000000000000000000000000010000100000000000000000000010000000000000000000000000100000000000000010000000000000010000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000100000010000000000000000000000000000000000000000100000000000100000000000100000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000010000000000010000000000000000000010000000000000000000000001000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000001000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000010000000000000000000000000000000000000000000000000101000000000000000000010000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000010000000000000000000000100000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000011000000000000000000000000000000000000000000000000100000000000100000000101001000000000000000010000000000000100000010000000000000001000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000100010010000000000000001000100000000000000000001010000000000000000000000000000000000000100000000000000000000000100000000000000101000000010100000000000000000000000000000000000000010000001000000000000000001000000000000010000000000000000000000001000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000001000000000000000001000000000000000000000001000001000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000010000000000000000000001010000000000000000000001001000000000000000000000000000000100000000000000000000000000000000000000000001000000000000010000000000000010000000000000000000000000000100000000000000000000000000000001000001000000000001000001000000000001000000000001000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000001000001000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000001000010000000100000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000001000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000010000000000001000000000000000000000001000100000000010000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000010000000000000000000000010000000000000010000000000010000000000000000000000101001000000000000011000001010100100000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000011000000000000000000000000000000000000000000000000000000001000000000000010000000000010000100000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110001000000000000100000000001100000000000000000000000000000000000000000000000100000001000000000000001000000000000000000000000000000000000000000010110000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000010000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000100000001100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010010000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000100000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000011100000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000001000000000000000000000000000000000000000001001010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000100000010000000000000000000000000000001000000000001000000000000000100000000010000000000000000000000000000000000000000000000001000000000001000000000000000011000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000100000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000001001000000000000000000000000000000010000000000010000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000100000000000000000100000000100000000000000000000100000010000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000001100000100000000000000000000000000001000000000100000000000000000000000000011000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000100000000000000000000001000000000000000000000000010000000000000000000000000100001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000100000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000100000000000000000001000000000000000000000000000000000000000010000000000000000000000011000000000000000000000000000000010000000000000000000000000000000000000000000000010000001000100000000000100000000000000000000001000010000000010000000010010000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000001100000000000000000000000001000000010000000000000000000001000000000000000000000000000100000000000000000000000000000100001000000000000000000000000000000000100100000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000100000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000010000000000000010000000010000000000000000000000000000000000000100000000010000000100000000000000000000000000100000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000101000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000001010000000000000001000000000000000000000100000000100000010001000000000000000000000000000000000000000000010001000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000100000000000000000000000000001000000000000000000000000000000000010000000000010000000001000000000100000000100000000000100000000000000100001000000000000000000010000001001000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100100010000000000000010000000100000000000000000000010000000000010000000000000000001000000000000000000000000001010000000000000000000000000000000000000000000000000001000000000100000000000000000001000000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000011000000000000000100000000000000000000000000000000000000010000000000000010000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010100000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000110010000000010000000000001101000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000000000001000000000000000000010000000100000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000010000000000010000100000000000000000000000000000000000000000001000000000010000001000000000000000000100000000000000000000000000000100000000000010000000000000000000000000001000000000000000001000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000100000000000000100000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010001001000000000000000000100000000000000010010000000000000000000000000000000000000000001000000000000000001000000010000000100000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000011000000001001000000000000000000000000000000000000000000000000100000000100010000000000010000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000011000000000000000010000000000000100000000000000000000000000000000000000000010000000010000000001000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000010000000000000000000000000000100000000000000100000000000010000000000000001000000000000000000000000000000000001000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000100000000000000100000100000000000000000000000000000100000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000100100000000000000000000000000000000000000000011000000000000100000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000100000000000010010000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000100001000000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000010100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000100000000000000000001000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000010000000000000001000100000000000000000001000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000001000000000001000000010000000000000000001000010000000000000000000000000000000100000000000000000100000001100000000000000000000000000000010000000000001000000000001000000000000000000000000001000000010000000000000000000000000000000010000000001000000000000000000000000000000000010000000000000000000000001000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000100000000000000000000000000000000001000000000000000000000000001000000001000001000000000000000100000000000000100000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000100000000000000000101000000001000000100000000100000000010000000000000000000100000000000000000000000000000000000000000100000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000010000000000000000000001000000000000000100000000000010100000000000000000001100000000000000000000000000000000000000000000100000000100000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000100000010000010000000000000000000000000001100000000000000000000000000000000000000100000100000000000001000000000100000000000000001000000010000000001000000000000000100000000000000000000010000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000010000000000000000000010000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000100000000000000100000000000000000000000000000000100000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000011000000000000000000000000000000000000010000000000000000000001000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000010000000000000000000000000000000000000000001100010000011000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000011001000000000000000100000000000000000000000000000000100000000000000000000010000000100000000000000001001000000000001000000000000000000100000010000000000001000000000000000010000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000010000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000010000000000000000100000001000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000001000000000000000000011000000000000000000000000000001000000000001100000000000000000000000000000100000000000000000000000001000000001000000000001000000000000000000000000000000001100000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000010011000000100000000000010000000010000000000000000000000000000000000000000000100000000000000000000000000000000100010000000001000000100000000000010000000000000001001000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000011000000000000000000000000010000000000000000000010000000000000001001000000010000000100000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000011001100000000000000000000000000000000000000000000110010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000100000010000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000100000100000000000000010000000000000001000000000000001000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001100000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000010000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000010000000101000100000000000000000000000000010000000000000000000000000000000000000000000000100000001000000000000000000010000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000001000000000000000000000000010000000100000100000000000000000010000000000000000000000000000000000000000000000000000000000001000010100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000001000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000100101000000000000000000000000000100000001000000000000000000000100000000000000000000000010000000000000000000001000000000000000000000000000000000000101000000000100000001000000010000001000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000001000000000000100000000000000000000000010000000000000000000000000000000001000000010000000000000100000000000001000000000000000000001000000000010000000000000000000000000000000001000000000101000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000101000000000000000000000000000001000000000000000100000000000000000000000001000000000000000000000001000101000100000000010000000000001000001000000000000000000000000000000100000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000100000000000000000101000000000000000000000000000000000000000000000000010010000000000000000010000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000010001000000000000000100000000000001000000000000001000000100000000000001000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000001000000100000000000000000000100100000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000001000110000100000000010000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000110000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000100000000000000000010000000000001000011000000000000000000000000000000000000000000000000101000100000000000000000000000000000000000000000000000010010101000000000000000100000000000000100000000000000100000000000000000010000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000100010000100000001100000000000000000000000000010000000001000000000000000000000000000000000011000000000100000000000000000000000000000000000000000000001000000000000000000000010000000000000000000100000100000000000000000000000001000000010100001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000001000000000001000000000010000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000100100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010010000000000000000000100000001000100000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001100100000000000000000000000000000000000000000000000000100000000000000001000000000100000000000000000000010000000000000000000100000010000000000010000000000000000000000000000000000000001000000000100001000000000000000000000000000010000000000000000000000000000000000000000001000000000000010000000000001000000000000000000100000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000101000000000000001000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100010000000000000000000100000100000000000000000000100000000000000000100100000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100110000000000000000000000000100000000000000100000001100000010000000001000000000000000000000000000000100000000000000000000000000000000010001000100000000000000000000001000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000100001000000000000000000000000001000000000000000000000000000011000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000010000000000000100000000000110000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010001000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000010000000000000000000000000000000000000000000000010000010000001000100000000000000000000000000000000000000000000000000000010000010000000000000001100010000000000000010000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000001000100001000000000000001100000000000000000000000000000010000001000000000100000000001000010000000000000000000000000000100001000000000000100000000000000000000000000000100000000000000000001000010000000000000000000000000000000000010010010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000010000000000001000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000001000000000000000000000000000000000000100000000000010010000100000000000010000000000100000000000000000000000000000000000000011000000000000000000000000000000000100000000000000000000000000000000000000001001000000000010000000000001000000000000000000001000010000000000001100000000000010100100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000101000000000011000000000000000000000000000000000000000001000001000000000000000000001000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000100000000010000001000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000110000000000000000000000100000000000000000000000000000000000100001000000000000100000000100000000010000000000010000000000000001000000000000000000000000000000000000010000000000000000000010000000000000100000000000000000000000000000000001100000000000000000000000000000000000000101000001010000000000000000000000000000000000000000000000000010000000100000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000100000000000000000000000100001000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010010000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000100000000000000000000001001000001010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001001000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000100000000000000000000000001000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000001000000000000000010000000001100000000000000000000000000100000000000000000000000000000000000000000000000000100000101000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010100000000000000000000000000001000000000000000000100000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000100000001000000000000000001100000000000000000000000000000000000100000000000000000000000010010000000000000001000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000100000000010000000000000000000000000000000000000010010000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000100000010000000000000000000000000000100000010000000000000000000001000000000000000000000000000000000000000000001000000000000000100000000000000011000000000000000001000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000001000000000100000000010001000000000000000000000000000000100000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000010100000000000000000000000000000000000000000010000000000000001000010001000100000000000000000000000001000100000000000001000000000000000100000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000001000000001000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000001001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000001000000100000000000000000000000000000000000000000100100000000000000000000000000000000100000000000000000000001000000100000000000000000000000000000001000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000001100000010000000000000100001001000000000000000000000000000000000010000000010000100000000010000000001000000000000000000000000000000000000000000000000000000001000000000010010000000000000000000000000000000000000000000000000000000000110010000000001000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000001001000000000001000000000000000000000000001000000100000100000000000000000000000000000000000000000000000000000000000000000000010001000010000000000000100000000000000000000000000000010000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000010000000010000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000010000000000100000001000000000000000000000000000000000100000000000000100010000000000000000000000000000000000000000000000000001000000000000000100000000000011000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000001000000000000000000000000000000000000000100000001000000000000000011000000000000000000001000000000000000000000000000000000000000000000000001000000010000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000100100000000000000000000000000000000001000000000000000000000000000000100000000000001000000000000000001000000000000000000100000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000100000000000010000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000001000000000000001000000000000000000000010000000000000000000001000000000000000000000100000000000100000000000100000100000000100000000100000000000000000000100000000001000000000000000000000000000000000001000000010000000000000000000000000000000000000000000100110000000000000000100000000000000000000000000100001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000001000000000000000001000000000000001000000000000100000000000100000000001000000000001000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000010000000000000010000000000000000000000000010100000000000000000000000000000000000000000000001000100000000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000100000000000000010000000000000000000000000000000000000001000000000010000000000000001000000000000000000000000000000010000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000010000000001000000000000000010000000000000010000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000010000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000001000000000000100000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000001100000000000000000000000000000000011000010000000000000000000000000000000000000000000100000000000000000000000001000100000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000010000000000000010000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000011000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000001100000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000010000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010010000000000000000000000000000000001001000000010000000000000000000000000100000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000100000010000000000101011000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000010000010000000011000000000000010000000010000000000000000000000000000000000010000000100000000001000000010001010000000000100000000000000000001000100000000000000000000000000000000000000000000000000100001000000100010000100000100000000000000000000010000000000000000000100001000000000000000000000000000000000000010000000000000100000000000000000010000000000000010000000000000000001000010000000000000000000000000000000000000000000000000000010000000000000000010000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000001000000000000000000000000000000000000000000000000000010001100000000000000010100000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000100000000000010000000000000100000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000001000000000100000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100001000000000000000000100000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000010000000000000100000000000000000000000000001000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000011000001000000000000000000000000000000000100000000000001100000000000000000100000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000000100000010000000000000000001000000010000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000011000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000010000000001100000000000000000000000000100100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000100000000001000000101000001000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000010001000000000000000000010000000010000000000000000000000000010000000000000100000000000001000000000000000000001000000000000000000010000000000000000010000000000000000000000000000000000000000010100000000000000000000000000000000010000000000000000000001000100000000000000000000000000000000000000000000000010000000000000000001000000000000000001000000000000000000000000000001000000000000000000000000000000000100000000000000000001000010000000000000000000000000000000000000110010000000000000000000000000000010100001000000000000000000010000000000000000000000001000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000010001000000000000000000000100000000000000000000000000000000000000000010000000000000000000000001001000000001000000000000000010000000000000001000000000001000000000000000000000100000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000001100000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000100000000000100011000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000001000000000100000000000000001001000000010000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010001000000010001000000000000000000000000001000000000000000000000000000000100000000000000000000000000000100000000000000000100000001000000000000000001000000000000000100001000010000000000000000000000000000000000000000000000000000000000000000000010001000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000011000000010000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000010000000000010010000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000001000100000000000000000000101000000000000100000000100000000000000000000000001000000010000000000000000000000000000100000000000000001000010000000000000001000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000100000000000000000000001000000000000000000100000000000000000001000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000100100000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000110000101000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000100100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000001010000000000110000000000000000000010000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000010000000000000000000000000000100000000000000000000000001000000000000100000000000100100000100000000000000000000000000001000000100000000000000000000000000000000001000000000000000010000000000000001000000000000100000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000010000000001000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000011001000000000000000000100000001000000000000000000000010000100000010000000000000001000000000000000000000000000010001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000001010000000000000000000000000000000000000000000000000000000010000000000000000000000000110100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000100000000000001000001000000000000001000000000000000001000001000000000000000000000010000000000000000000000000000000000000000000100100010000000100001010000000000000000000000000010000000000000000000000001000000000000000000000001000000000000000000000000000000010000000000000100000000000001000000000000000000000100000000000000000000000100000000000000000000000000010000000000000000000000001000100000000000000000000000010000000000000011000100000100000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000001000001000000000000000000100000000000000100000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000001000010000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000001000001000000000000000000000000000000000000000000000100000000000000100000000000000000000101000000000000000000000000010000000000000000000000000000000010000000100000000100000001000000000000100000000000000000000000000100000000000000000100000000000010000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000001000000000000000001000000000000000000000000000000000000100100000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000011000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000100000000000001000000000000000000000011000000000100000000000001000000001000000000000000000000000000000000000001000001000000010000000000000000001000011000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000010001100000000000000000000000000010010000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000001000010000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000001000000000000000000000000001000000010000000000001000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000100000000000100000000100000000000011000000000000000000000000000000000001000000000000000001000000000000000000000000100000000000000000000001000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001011000001000000000000000001000010000000000000100000000000000000000000000001000000000000000000000000000000100000000000000000000000000000000000000100010000000000000000000000000001000000000000000000000000000010000010000000000000000000000000001000000000000000000000010100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011010000000000000000000000000010000100000000000000010000000000010100000000000000000000010000100000000000100000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000100000000000000000010000000000001000100010000100000100000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000110100000000000001000000000000000000000000000000000000000000000000000111000000000000000101000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000100000100000000001000000000010000000000000000000000000100100000010000001000000000000000000000000000000000000000001000000000010000010001000000000000000000000001000000000000000100000000000000100000000000000000010000000000001000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000001000000001000001000000000000000000000010001000000000000000000000000000000000000100000000000000000000000000000001000000100000000000000000000000000000001000000000100001000000000000000000000000001000001000000000000000010000000000000000000000000001000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000001000000000000000000000000000000000001001000000000000000000000000000000000000000000000010000000000000000000000000000000000100010000000110000000000000000000010000000100000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000010000100000000001000000000000010000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001100000000000010000010000000000000000001000000000000000000000000000001000010000010010000001000000000100000000000000000000000010000000000100100100000000001000000110000000000000000010000000001000000000000000000000000000000000000100000000000000010000000000000000010000000000001001011000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000001000000000000000000000000010000000000001000010000000000000000000000000000000000000000000000000000000000000000000100000000000010001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000100001000000000000000000000000000100000000000000010000000000001100000000001000000000000000000000000100000000000000000001000000000100000000010000000000000000000000000001000000001000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010001001000000000000000100000000000000000000000000000000000000000000110000000000101000000000000000000000000000000000000001000000000100000000000000000001000000000000001000000000100000000000000000000010000000000000000000000100000100000000000000000100000001000000000000010001000100000000000000000000000000000000000000000000000000000001000000000001000000001000100000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000011000000000001000010100000000100000100000000000000000000001000000100000000100000000000000000000000000000000000000001010000000000000000010000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000100000001000001000000000000000000100000000000100000000001000001000000000000000000100100000000000000000000000000000000010001010010000000000000000000000000000000000000000000010100000000000000000000000000010000000000000000000000000000000000010100000000001000010000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000010000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000010000000000000000100000000000000000000000001000000000000000000000000000100000010000000000000000001000000000100000000000100000000000000000000000000000000000000000000000000000010100001000000010000000000000100000000000000000000000000000000000001000001000000000000000000000000000001000000000000000000000000100100000000100000000000000000000000000000000000100000000000000000000010001000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000010000000000000000010010000001000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001100001000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000001000000000000000000000000100000000000000000010000000000000000100000001000000010000000110001000000000000000000000000000000000000001000000010000000000000000000000000010000000000100000000000000001000000000000000100000000000000000000000000001010000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000110000000000000001000000000000000000000000000100000000000000000000000000000000000000000010000000000000010000000000000000000000000000000001000000000000000000000000000000000000000100010000000000000000000000000000000100000000000010000000001001000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000001000000010100000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000001000000000000000000000000000000000000100100000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000100000000000000000000000000000000000100000000000000000000000000010000000000000000001000001000001000000100000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000100000000010100010000000000000000010000000000000000000000010010000000100000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000001000000000000001000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000001100000000000000000000000000000000101000000000000000010000000000010000000000000000000100000000000000100010000000000000000000100000000000000000000000000000000000000000000000000000000100100000001000000001000000000000000000000000000000000000000000000000000000010000100010000010000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000010000000000100000100000000000000010000000000000000000000110000000000000000000000000000000000000000000010011000000000000000000000000101000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000010000000000000000000000001000000000000000001000000000000010000000000000000000000000000000100000000000000000000110000000000010000000000000000000100000000000000000001000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000001000000000000000000000000000000000000100000000100000000001000000000000000000000000000000000000000000010000000000000000000100000000000000000000001000000000000000000000000000000010000000000100000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000100000000000000010000000000001000000000000000001000000000000000000000011000000000000000000000010000000000000000000000000001010000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000010000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000100100111000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000100001000001001000000000000100000000000000000000000010000000000000000010000000000000000000000000010000000000000000100000000000000001000000000000000110100000000000000000000000000000000000000000000000000000000000000100010000000000000000100000011010000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000100010000000000001000000001000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000101000000000000000000100000100000000000000000000001010000000000000000000000000000000000000000000000000000001000000000001000000000000000000011000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000010000000100000000000000001000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000001000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000010000000000000000000000000000000000000000000000010000000100000000000000000000000000000000100000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000001000000000000000000000000100000000000010000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000010010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000011000000000000000000000000000000000000010000000000000000001000000000001001010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000001000000000000010000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000010001000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000100000000000000100000000000000000000000000000000000000000000001000000100000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000110000010100000010000000000000000000000000000010101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000010000000100000000000000001000000000000000000000000000000000000000000000000000000000001000010000010000000100000000000000000000001000000000000000000000000000000010000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000100000000100000000000000000100000001000000000000000000000000000000000100000000000000000000001000000000000000000000010000000000000000001010000000100000000000000000000000000000000000100000010000010000000000000001010000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000001000000000000000000000000000000000000000000000001000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000100100100000000000110000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000010000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000010000000010000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000100001000000000000000000001000000000000000000000000000000000000000000000001000000001000000000000000000000000000001000000001000000000000000000000000000000000000000000000000100000000000000000001000000000000000000001000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000001000001000000000001000000000010000010010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110100000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000100000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000100000000000010000011000000000000000000000000000000000001000001000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000010000000000000000000000000100000000000000100000001100000000000000000100000000000000101000000110000000000000000000000000000000001000000000000000000000000000100000010000000000000000010000000000000000001000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000010001000000000000000100000000001000000000000100000001000000011000000000000000000000000001001000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000100001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000010000000000000000000000000000000000010000000000010000000000000110000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000101000100000000000000000000000000000000000000000000000000100001000000000000000010000000000000010000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000101001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010001000000000001100000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000010000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000001000000000000100000000000000000000000001000000000000010000001001000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000010000000000000000000000000000000000100000000000000000000000000000000000000010000010010000000000000000000000000000000000000000000000001000000010000000000000000000000000001000000000000000010000000000000010100000000000000000000000000000010000000000000001000000000000001000000000010000000000000000000001000000000000000000010000000100000000000000000010000000000000000100000100000000000000000000100000000000000010000000010000000000000000000000000000000000000000000110000000000000000000010000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000010000000000000100000000000000000000000000000000000000100000000000000000010000000000000000001000000000000000100000000001000101000001000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000100000000000101000000000000000000000000000000000010000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000001000000000000000001000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000010000001000000000100000000000000000000000000000000000000000000000000010000000000000000000100000000000000100000000000000100000000000010000100000000000000000000000100000000000000000000000000000010000000000100000000010001000000000000000000000000001000000000000100000000000000100000000000000000000000000100000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000100000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000010000000000001000000000000000000000100000000000100000000001000000000000010000000000000001000000000000000010000000000010001000000000000000000000000001000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000001000000000000010000000000000000100000000000000010000000000001000000000001000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000100000000000000000100000000100000000000000000000000000000001100100000000000000000000000000000000100000000001010000000000000000000000010000000000000000000000010010000000000000000010000000000000000000000000000000000000000000010000000000000000001000000100000010000000000001000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000001000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000001000000000000000000010000000001000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000001000000000100000000000000000000000000000000000000000000000000001000000000000000000000110010000001000000000010000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000101100000000000000000000000000000000000000000000000000100000000000001000000000000100000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000010000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000001000001000000000000010000000000001000000000000000010000000000000000000001100000000000000000000000000000000000000100000000000000000000000000000001000000000100000000000000010000000010000000000000000000001000000000000100000100000000000000001000000000000000000000000000000000000000010001000000000000000101000001000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010001000000100110000101000000000001000010000001000000000001000000000100000000000000000000000000010100000000000100000000001000000000100000000100000000000010000001000001000000000000100000000000010000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000001000000010000000000000000100010000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000011000000000000000001000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000010000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000010000010010000000000000000000000000000000010000000000000000000000000000000000000000010010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000010000000000000000000000000000000100000000000000000010000100000000000000010000000000000000000000000000000000010000000000000001001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010100010000000000000000100000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000001000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000100000001000000000000000000000000000000000000010000000000000000000100000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000001000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000010010000000000100000000101000000100000000000000000000000000000000000000000000000001010000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010100000000000000100000000000000000000000000000000010001000001000000000000000000000000000000100000000000000000000000000000100000000000000010000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001100000000010001001000000000000000000000000000000000000100000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000000000000001000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000001000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000001000000000100000000000000000100000000000000000000000000000000000000000010000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000100010001000000000000000000010000000000000000000000000000000010000000000000000000000010000000000100000000000000010000000000000000000000000000000000000000000000100000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001001000000000000000000000000000000000000000000010000001000000000000000000000000100000000000001000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000100000000010000000000000000000000000000000010000010000000010000000000000000000010000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000010000000000000010100000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001010000000000000000000000100000100000000000000000000000000000000000000010010000000000000000001000000000000000000001000000000100000000000001000000000010000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000010000000000000000000000000000000000000000010000010000 0000000000000000001001000000000000000000010000000000000000000100000000000000000000000000000000000000000001000000000000000010000001000000000000000000000000010000000000000001000000000000000100000000000010000000000001000000000100000000000000000000000000000100000000000000000000000000000000011000100000000000000000000000000000000000100000000000100000000000010000000010000000000000000000000000000000000000000010010000100000001000000000000000000000000000000001000000000000000000000000000000000000000000000001000000010000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000100000000000000000000000000100000000110000000000000000000100000000000010000000000000000000010000000000001000000100010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000110000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000010000000001010000000000000010000000000000000010000000001000000000000000000000000110000000000000000010000000000000000000000000010010001100000000000010000000000001000000100000000000000000000000000000000000010000000000000000000100000000000000000001000000000000000000010010000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000001000001000010000000000000000000000010000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000100000000000000000000000000000000000000100000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000010000000001000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000001010001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000001000000000000100010000000000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000010000000010000100000000000000001000000000000000000000000000000000000000000100000000000000000000100000000001000000000000000001000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000110000000000000000000000000000000000000001000001000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000001001000000000000000000000000000000000010000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000100000000000001000000000000000000000000000000000100000011000000001000000000000100100000100000000000000000000010000000000000000000000000000000000001000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100010000001000001000000000000000000000000000000000000000100000001000000000000000000000000000000001001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000010000000000000000000001100000000000000000100000000000000000000001010000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000010000000000000000000000000000010000000000000000000010000000000000000000000000000000100000000000000000000000100000000000000001000000111000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000010000000001000001000000000000000100000000000001100000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000100000000000000000000000001000000000000000000000000000000000000000000000100000010000000000000000000100000000100000000000000000000000000000000000000000000000000000000000011000000100000000000000000100000000000000010001000000000000000001000000000100101000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000110001110000001000000000000010000000000000000000001000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000010000100000001010000010010000000000000000100000000001000000000000000000001000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000101010000000000000000000000000010000000000000000000000000000000001001000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010010000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000010000000000000000000000000000000000000000010000000010000000000001000000000000000000000000000000000000000000000000000100100000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010010000000000000010000000000000001000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000010000010000000000000000000000000000000000101101000100000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000100010000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000100000100000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000100000000000100000001000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000001000000000000000000000000000000000001000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010010000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000001000000000000000001000000000000000000000101000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000001000000000100000000000000000000001000000100000000000000000000010001000000000000000000000000000000110000100000000000000100000000000000001000000000000000100000000001000000000000000000000000000000000000000000001000001000000000000010000000000000000000000000010000001000000000000000000000000100000000000000010010000000000000000000000000101000000000000000000000000000000000100000000000010000000100000010000010000000000000000000000000000010000000000000000000000000000000000000000100000010000000000000000000000000000000000000100000000000000000000000000000000000010000100000000000000000000000100000000000000000000100000010000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000001010010000000000000000000100000000000000000000000000000000000000001000100010000000000000000000000000000000000000000100000000000000000110000000000000000010000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000011000000000000000000000000000000000001000000000000000000000010000000000000000010000000000000000001000000000000000000000100000000000000100001000000000000000000000000000000000000000000011000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000100000010000000000000000000000000000110000000000000000000000000000000000000000000000000100000000000010000010000000000000000000010000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000001000000100100000000000000000000000000000000000000000000000100000100000000000010000000000000000000000000000000000000000011010000000000000010010000000000000000000100000000000000000000000000010000000000000000010000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000010000000100000000000000001000000100000000000000000100000000000000000000100000000000001101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000010001000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000011100000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000010000000000010100000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000110000000000010000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000100000000000000000000100000000000000000000010001000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000010000000000000000100000000000000001000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000010001000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010100000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000100000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000100001000000000010000000000000000000000000000100000100000000000000100000000000000000000000000000100001000000000000000000000000010001000000000010000000000000000000000000000000000000000000000000000010100000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000100000000000001000100001000000000000000010000000000000000000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000001000000001000000000000000001000000000000000000000000000000000000000001000000000000000001000001000000000000000000000000001000001000000000000100000000000000000000000000000000000100000000000000001000000100000000000000000000000000000010000000000010000000000010100000000000000010000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000010100010000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000010000000000000000000100000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000100000000000000000000000001001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000001000000000000001000000100000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000100000000000000000001000000000000000100000000000001000000000010000000000000000000000010000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000100000000000000100000000000000000000001000000000000000000000000000100000000000000000000000000010000000001000000000010001000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000100000000000000001000000000001100010001000001000100000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000100000000000100010100000000000100000010000000000000010000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000100000000000000100000000000000000000000100000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000010000000000000000001000000000000100000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000010000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000001000000000000000000000000000001000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100100000000000000000000000001000000000000000000000000000000011000100000100000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000111000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000010000000000000000000000010000000001010000000000000000010000000000010001000000000000000100000000001001000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000100000000000000000000101000000000010000000110000000000000000000001000000000000000100000000000000100000000000100000000000000100000000000000010000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000010000010000000000100000000000000000000000000000000000000000001000000000000100000000000000000000000000000100000000000000000000000000000011000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000001000000000000100000000110000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000100001100000000000000000000000010000000000000000001000001000001000000000000000010000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000010000000010000000000000000000000000000000000000000000000000100000000100000000000000100000000000000000000000000010000001000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000100000000000000100000001000000000000000000000000000000000000000110000000000000000000000000011000010000000000000000000000100001000001000000100000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100010000000000000010000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000010000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000100000000000000000101000000010000000000000000000000000000000000000000000000000000000100000000001000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010100000000000100000000000000000000011000000000000010000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000101000000000000000000000100000000000000001000000000000000000000000001000000001001000000000000000000000000000000001000000000000000000000000000000000000001010000000000100010000000000100000000000000000000000000000000000000000000000001010000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000001000000000000010000000000000000000000000000000100000000000001100000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000100001001000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001001000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000001100000010000000100000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000010000000000010000000000000001000000100000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000001000100000001000000000000010000000000000000000000000000000000000001001100000000000000000000100000010000010000000110000000000010000000011000000000000000000000001000001010000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000001000000000001000000000000000010000010000000010100000000000000000000000000000000000000000000000000000000000000000000100000000000000100000010000000000000000000000001000000000000000000000000000000000010000000000000010100001000000000000000000000000000000100000000000000000001000001010000000000000000000000000000100000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000011000000000000000000000000000000000000000000000000000000000000000100000100001000000000000100000000000000000000000000000000000000000000000000000000001010000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000010000000000100000000000000000000000000000000010000000001000000001000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001100001000000000000000000001000000000000000000000010000000000000000000001010000000000000000000000000000000000000000000000010000000010000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000010100000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000011000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000001000000000000000010000000000000000010010000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000001000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000100000010000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000100000000000000010000000100100010000000000000001000000000000000000000000110000000000000000000000000000000000010000100000000000000000100000000000000000000100000000001000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000010100000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000001001000100000000000000000000000010000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000001000010000000000010000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000100000000000001010000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000010001000000000000000000001000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000001010000100000000000000000000000000010000000000000000000100100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000001000000000100000010000000000000010000000001000100000001000000000000000000010000000010100100000000000001000001000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000100000000000000001000000000000000000000000011000001000110000000000000000000000000000000100000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000001000000000101000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000001000000000000000000010000000000010000000000000000000010000000000000000000000100000000000000001000000000000000010000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000101000001000001000000000000000000000000000000000000000000000000000000000010001100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000001001000000000000000000000000100000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000010000100001000000100000000000000000001001000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000100000000100000000001000000000000000000000100000000000000000000000000001000000000010000000100000000000000000100000010000010000000000000000000000100000000000000001000000000010000000000000000000000000000000000000000000000100000010000000011100000000000000000000000000000000000000000000000100000100000000000000000001000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000010000000000100000000000000000000001000000010000001000000000000000000001000000000000000000000000000000000100000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000100010000000000000000000000000000000000010000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000100000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100001001100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000010000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000001000000000000000000000000000000100000000000000001000000000010000000001000000000000000001000000000001010000101000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000001000110000000000000000000000000000000010000000000000000000000000010000000000000000000100000000001000000000000000000000000000000000000000000000010000000000000000000000000000000000100001000000000000000100010000000000000000000000000100000000000000000000000000001000000001000000000100000000001000000000100000000010000000000000100000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000100000100000000000000000000010000000010000000000000000000000000000000000000000000000000010000000100000000000001000000000000000000000001000100000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000011000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000100000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000100000000000000000000001000000000000000000000000100000000000000001000000000000000000000010000000000000000000000000000010000100000000000000000000000100000000100000010000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000010000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000100000000000000010000000001000000000000000000000000000000010000000000000010000000000001000000000100001000000001000000000001100000000000001000100000000000000000000000000000100000000000000000000000000000000000000000000001001000000000000000000000100000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000010000000000100000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000100001000100000000000000000000010000000010001000000010000011100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000001000000000100000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000100000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100010000000000000000000000001000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000001100000000000000000000000010000000000000000000010000000000000000000010100010000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000001000000000000000000000000000000000100000000000000000000000000000000100000000100000000000001000000000000000000000000000000000000000000101000000000000000000010000001000000010000000000000000000000000000000000000000000000000000000000000000001000000001000000000001000000000000000000100000000000000000000000100000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000010001000010000000000000000000000000001000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000001000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000010000000000000001010000000001000000000000000000000000000000000000000000000000000000000001000000000000001000010000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000000001000000000000000000000010000000000000000000000000000001000000000000100000000000000000000000000000000000000000100000100000000000000000000000000000000000000010000000000000001000000000000000000000000000100000000000000100000000000000010000000000000000000000000000000000000000000000000000000000010010001000000000000000001000000001001000001000000100100001000000000000000000000000000100000000001000000100000001000001000000000000000000000000000000110000000000000000000000100001000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000100000000000000000000000000000000010100010000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000100001000000000000000000000000000000001001000001001000000000000000000000000000000000000001000000000000100000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001100100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000100000000000000001000000000000000000001000000000000000000000000000001001000000000000000001000000001000010000000100000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000101000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000001000000000000000010000000000000000010000000000100000000100000000000000000000000100000000000010001000001000000000000100100000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000100000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000010000010000000000000000000010000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000100000101010000000000000000000000000000000000000100000001000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000010000000000100000000000100000001000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000011000000000000000000000000001000000000000000000000000001000000000000010000000000000000000000000010000000001000000000010000000000000000000010000000000000000000000000010000000000000000000000000000000000000001000000000000000000000001100000000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000011000000000001000000000100000000000000001000000000000000000000000000000000001000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000101000000000000100000000000000000000000000000000100000001000000000000000000001000000100000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000100100000000000000100000000000000000000000000100000010000000000000000000100000010000000000000000000000001000000000000100000000000000000000001100000000010000000000100000000000000000000000000000100001000000000000000000000000000000000001000000001000000000100000000000100000000000000000000000011000000010000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000101000000000000000000000000000001000000000000000010000000001000000000000000000000100000001000000000000000000000000001000000000000000000000000000000000010000000000100000000000001000000000000000000000001000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101100000000000000000000000000000000100000000000000000000100000000100000000000001000010000000000000010100000000000000000000000000000010000000000000000000000100000000000000000000000000001000000000000000000000100000001000000000010000000000000000000100000010000000001000000000001000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000001000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000100000000000000000000000000000000000000000000000000000000001100000010000000000000000000000100000000000000000000000000000100000000000000000001000000010000000000000000001000000000000000000000000000000000000000100000000000001000000000000000000010000000001000000000000000000000010000000010000001010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000101000000000000000010000000000000000000000000000000001001000000000000000000000100000000000000000001000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000100000000000000000000000000000100001000010000000000000000000000000000000000001000100000000000000000000000000000000000000000000010000000000000100000000000001000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000001010000000000001000000000001000000000000000000000000000000000000000000001000000000000000000000001000000000100100000001000000000000000000000000001000000000000000000000000001000100000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000001000000000000001100000000000000001000000100000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000100000000100000000000000000000100000000000000000000000000000000000000000000001000100000000000000000000000110000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000001000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000010000000000010001010100000000000000000000000001001000000000001000000000000000000000010000000100000001000000000000000000000000000000010000000000000000000000010000010001000010010100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000110000000000000000000000000000100000000000010000001000000000100000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000010000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000001000000100100000000000000000000000100000000000000000000000001000000000000000000100000000000000000000100000000000000010000000000000100000000000000000000000000000100000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000100000001000010000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001000000100000000000000000000000000000000101000000001000000000000001000000100000000000000000001010000000000000000000000000000000000000000000000000000010000000000000000000000010000000100010000000000000000000000000000000000000000000000000000000010000001000000001000000000000000000000000000000000000000100000000000000000000000000000000000010000000010000000000000000000000000001000000000000000100000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000010000000000000000010000000000000000000000000010000000000000000000000000110000000000000010000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000011000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000010000000000100000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000001000001000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000100000000000001100000000000000000000000000000000000000000000000000000100000000000000000000100000100000000000000000001000000000000000010000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000001001000000000000000000000000000010000000000000000010000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000001000100001000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000010000000000000000010000000000000011000000000010000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010000100000000000000000000000000000000000000000100000000000000000000000000000000001100000000000000000000010000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000010000000000000000010000000000000000000000000000000100001000000000000000000000000000010000001000000001000000000000000000000000000001000000000010000001000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000010000000001000000000000010000100000000000000000000000001000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000001000000000101000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000001000000010000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001000000010001000000000000000000000000000000000000000001000010000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000110010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001001000000001000000000000000000000010000100000010000000000011000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000001000000000000000000000000000000000000000111000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000001000000000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000010000000001000000000100000000000000000000000000001000000000000000000000000000000000001000000000000000001000000001000000000000001000000000000000000000000000000000000000000000001000000001000100000000000000000000000000000000000000000001000000000000000000000010000000100000000000000000000000000000010000000000100100000001000000000000000000000000000000000000000100001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000100000100000010000000000000000000000000000000001000000000000000000000000100000000000000100000100010010000000000010100000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000010000000000000000000000000100100000001000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000100000000000000100000001000000000000001000000000100000000000000000000000001000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000100000000000000000010000000000000000000000000000000000000000000000010000100001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000010010010000000100000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000101000000010000000001000000010000000010000000000000000000100010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000001000000000000100000000000000000100000000000000000000000001000000000000000010000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000100100010000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000000000101000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000010010000000000000000100000001000000000010000000000000000100000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000001000010000000000100000010000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000001000000000001000000000000000000000001000001000000000000000000000000000010000001000000000000000000000000000000000000000010001000000000000000000000000000000001000100001000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000100000000000000011000000000000000000000010000000000000000000000000000000000000001000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000001000100000000000000000000000000000000000000000000000000000000100001000000000000000000000010000010000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000001100000000000000000000100000000000000000000000000000000101000010000000000010000010000000000000000100000000000000000000000000000000000000000000000000000100000000000000000010100000000000100000000000000000000000000000000000000000000010000000000000000000000000000000100001000000000000000000000101000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000001010000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000100010000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000100000000000000000000000000010000000001000000000010001000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000110000000100000110000000001001010000000001000000000000000000000000000100000000010000000000000000000000000000000000000010100000010000000000000000000000000000000000000000000001000000000000001000001000001000000000000000000000000000000000010100000000000000000010000000000000000000000000000000001000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000100000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000001000001001000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000001000000010000000000000000000100000000000000000001000000000000000000000000000000000000000001000000000000000010000000010000000000010000001010000000000001000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000001000001000000010000000000000000000000000000000000000010100000000000010000000000000000000000000000000100100000000000000000000100001000000010000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000011000000000000000000000000000000001100000000100000000000000000000000100000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000010001100000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000001000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000101000000000000000000010000000000000000100010000010000000000000000000000000000000000010000000000000000000000010000000000000000000000000010000000010000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000100000000000000010000001000000000000000000000000000000010100000000110000000100000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000100001000000000000000000000000000000000000000000001000000001001000010000010000000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000100000000000000000000000010000000000000010000000000000000000000000001000000000000010010000000000000000000000000000000100000100000000000000100000000000000001000000000000000000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000001100000001000000000000100000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000100000000000001000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001001100000000000000000000000000000000000001000000000000000000010000000000000001000000000000000010000000000000100000000000000000000000000000000010000000000111000000000000000000001000000000000000000100000000000000001000000000000000100000100001000000000000001000001000001000001000000000100000000000000010000000000000000000000100000000000000000000000000000000010000000000000000000000000001000000000001000000000000000000000000000010000000000001001000001000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000100000000010000000000000000000000000000000000000000000001000000000000000000000000000000000011000000000000000010000000000000000000000000000000000100010000000100000000000000000000010000000000000000000000000000101000000000000000000100000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000000100000000000000000000000010000000001000000000000010000010000010000000000000000000000000100010001000100100000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000100001100000000000000000010000001000100000001000000000000000000000000000000110000000000000000000010000000000000000000100000000000000000000000000000100000000000000000000000000000000100000000000100000000000000000000000000000000000010000000000000000000000000000000100000000000000000100000000000000000000000000000100010000000000000000000001000010000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000001000100110000001010000000000000010000000000000000010000000000000000000000000000000000000010100000000010010000000000000001000000000000000000000000000000100001000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000010011000000000000000000000000000000000010000000001100000000000000000000000000000000000100000000000000000010000001001000000000000000001100000000000000000000000001000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000100000000000010000000000010000010000000000000000000000000100000001001100000000000000000000000000000000000000000000000000000000100010000101000000000000010000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000001100000000000000010000000001000010001000000000000000000000000000000000100000000000000000000000000000001000000001000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100001000000000000000001000000000000000000000000000100000000000000000000001100000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000001101100000000000010000101000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000001000000000000100000010100000000000000000000000000100000000001000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010101000000000000000000100000000000000000000001000000100000000000000000000000000000001000000010000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000010000000000001000000000000000000000000000000001000000000000001000000000000001000000000000000010000000000000000000000000000000000100000100000000000000000000000000000010000000100000000000100000000000000000100100000000000000000010000000000000000000010000100000000000000001000000000000000000010000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000001001100000000000000000000010001000000000000000110000000000000000000000000000000000100000000000000000010000000000000000011000000000000000000110000000000000000000000000000001000000000010000000000100000000010100000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000100000000000001000000000000000000010000000000000000000000010000000100000001000000000000000000000000000001000000000000000010000001000000000000100000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000010000000000000000100000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000001101000000000000000010001000001000000000000000100000000000000000000000000000000000100000000000000000000000000000010000000000000000010000000000000100010000100000000000000000010000000000000000000100000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000001000001000000000000000000000000000100001000000000000000000000000000000000000000000000100000010000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001100000000000000100000000000000010000000000000000000000000001010000000000100000000000000000000000000010000101000000000000000010000000010000000000000000001000000000000001000000001000000000000000000000000000010000000000000100000000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000010000000000000001000000100000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000010000000000010000000000001000000000000000000000000000000000001000000000000000010000000010100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000001000100000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000010000010000100001000000000000000000000000000000000000000000000000000000110000000000000000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000100000000001000000000000000000000000000000000000100000000000000001000001000000000000000000000000000000000000000010000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000100000010000000000000000001000000000000000000000000000000001000000000000000100000000000000001000010000000000000000000000000000000010001000000000000000000000000010000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000001000000100000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000001000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001001000010000000000000000000000001000000000000000100000000001000000100000000000000000000010000000000000000000001000000000000000001000001000000000000000000000000000100000100000000000000000001010000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000001000000000000000000001000001000000000000000000010000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000010101000000100000000000100000000000000000000000011000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000100000000000000000000000000000000000000000000100000000000000000000000000100000100000000000000000000000000000000000000000000000000100000000010000000001001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000001000100000000000110000000000001000000010000000000000000100000000000000000000000000000000000000001000000000000010000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000010000010000000000000000000000000000000001000000100000000000000000100000000010000000000000000000000000000000001000000000101000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000100100000000000000000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000001000000000000000000000000000000000000100000000010000000010000000010000000000001000000000000000000000001000000000000000100000000000000010000000000000000001000001000000001000000000000000000000000000000001000000000000000000000000000000000000000000000100000000010000010000000000000000000000000010000000110001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000001000000000000000000000000000000000000001000000000000000000000000000000011000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001000000001000000000000000000001001000100000000010000000000000000000000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000100000000001000000000000000000000000000000000001010000000000000001000100000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000100100000000000010000000000000000100100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000010001000000000000000100000000000000000000000000001000000000000010000001000000001000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000100000010000010000100100000000000100100001000000000001000001000000000001000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000101000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000001000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000010001000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001001000000000000000001000000000000000000000000000001000000000000000000000100000010000000000100000000000100000000000000000000000001000000001000000000000000000010100000000000100000000000000000000011000000000000000000000000000000000000000000000000000000100000001000000000010001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000001000000000000000000010000000000000000000000000000000000000100000000000000010000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000100000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000000001000000000001000000000000000000000000000000001000000000000000001000000000000000100010000000010000000000000010000000000000000100000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000010000000000000010100000000000000000000000010000000000000100000000000000000000000100000000000000000000000000000100000000000000000010000000000011000000000000000000000000000000000000010000000000010000000000000000000100000000000000000000000000000000000000000000000000000110000100100000000000000000000000000000000000100000000000100000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000001000000000000000100000000000000010000000100001000000000000000000010000000000001000000000100000100000000000000000000000000000001000000000010000000000000000000001010000000000000000000000000000000000000000100000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000110000000010000000000000000000000000000000010000000000000000000000000000000000000000010000010000000000000000000000000000000000000000100000001000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000010000000000000100000000000001000000000100000000000000000000001000001000000000000000100001000000000000000100000000001000100010100000010000000000000001000000000000000001000001000000000000001000000000000001000000000000000100000000000000000000000000000000000000000000100000100000000000000010000100000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000010000000010010000000000000000000000001000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000001000010000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000001000100000000000000000000000000000011000000000000000000001000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000000000000000000010000000000000000001000000101000000000000100001000000000000000000000000000000000000000000000000011001000000000100000000000000000100000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000001000000000000000000000000000000000010000000011000000010000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000101000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010010000001010000000000000000000010000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000001000000000000001000000000000000010000000000000000000000000000000001100000000000000001100010000010000000000000000000100000000000000000000000100000000000000001000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000001000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010101001000000000000000001000000000000000000100000001011000000000000000000000000000000010000000000001000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000010100000000001001000000100000100000000000000100100010000000000000000001000000000000000000010000000001000000000000010000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000001000010000001000100000000000010000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000001000000000000100000000000000000000100000000000000000100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000010000000000000000000000000000000000000000000000001001010000000000000000010000000000000000000000000000100100000000100000000000000000001000101000000000000000000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000100000010000000000000000000000000000000001000000000000000000000000000000100000000100000000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000010000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000100010010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000011010000000000000000000100000000000000000000000000100000000100000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000100000000000000000001000000000000000000000000000001000000000010000000100000000000000000000000000000000000000000000001000100000001000000000000001000000000000000100000000000000001000000000000000000000000010000000000000000000000000000000000000100000000000000100000000000000000000000001000100000000000000000000000001000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000001010000000000000000000000000000000000000000000000000100000001000000000100000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000100000000000001000000000000000001000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000011000000010000000000000010000000000010000000000000000000010000000000001000000000000000000000000000000000000100000000000000000000100000001000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000010001000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001100000000001000000000000000000001100000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000001000000010000000000001010000000000000001000100000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000100000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000111000000000000000000100000001010000010000000000000010000000010001000000000000000000000000000000000000000000001000000000000100000100000000000000000100000000000000001001100000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000001000000010000000001000000000000000000010000000000000001000001000000000000000000000000000000100001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000010000000000000000000010000000000000000000001000000000100000000000001000000000000000000100000000000000000000000000000000001000000000011100100000000000001000000000001000000000000000000000000000000000100000001010000000000010100000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000010000000010000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000001001000000001000000000000000000000001000000000000000000000000000000000000000000000000001000000101000100000000010000000000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000010100000000000000000100000000000000000000000010010010000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000001010000000000000000001000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000001000000000000000000000000000000100010000000000000000000000000000000001000001001000000000000010100000001000000100000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000001100000000000000010000000000000000000000010000000000001000000000000000001000000110001000000000000000000000000000000000000000000000000000000000000000000000000010010000001000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000100001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000100000000000000000010000001000000000000000000000000000000000000000001010000000000010000000000000000100000000000000000000000001000000000001000000000000000000010100000000100000000100000000000000000000000100000000000000000001000000000000000000000000000000000010000000000000100000000001100000000000000001000000000000000000000000000000000100000000000000000000000000000000000110000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000001001000000000000000000000001000000000000000000000100000000000100000000100000000000000000000000000100000000000000000000001000000000100000000000010000000000010000000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000010000000001000000000000000000000000001000000000000000100000000000000000000100000000000000000000001000000000000100000000000000000000000000000000000001000000001010100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010110000000000000000000000100000000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000100000000000100010000000000000000000000000000001000000000001000000000000000000001000000000000000000000000000000000001000001000000000000000000000000000000000000000000001101010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001010000001000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000000000000000010000000000000000000000000000000000000000000001000000000001000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000010000000000010000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000110000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000001100000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000010000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100100000000001000000000000000000000000000010000000100000000000000000001000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010001000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000001000000000000100000000000000001000000000000100001000000000010100000000000000100010000000000000000000000000000000000000000000000000100000000000000001000000000000000100010000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000011100000000000000000000000000000000000000000000001001001000000100000000000000000010000000000000000001000000010000000000000100000000001000000000000000000000000000000100000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000011000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000000000100000000000010000000001000000000000000010000000000000000000000001000000000000000000000000000000000000001000000000000000000000001000000000000000000010000000000000000000000000000000000001000000001000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000110000000000000100000000000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000100000001000000000000000001001000000000000000000000000000000000000000000100000000000000000100000000000000000000110000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000001000000000000000001000000000000000000000000000000000000000001000100000000100000000000000010000000000000000000000000000000000100000000000000000000000010000000010000000000000000000000000100000000000000000001000000100000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000000101000000000000000000000000000001000000000000000000000010000000000000000000000000100000000000010000001000000100000000000000000000000000000001000000000000000010000000000000000000000000001000000000000000000000100000000000000000000000000100000000000000000000001000000000000000000000000000000000000000000000010000000000000010000000000010000000000000000000000000000000000000000100000000000000011000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000100000000000000000000000000000000000000000000000000000000000000010100000001100001010000000000000000000000010000000000000001000000100000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000001000000001000000000001000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000001000000101000000000010000000010000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000001100000000000000000000000000000010000000000000000100000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000001000000000000000000000000010000000000000000000000000000000010000001000000000000000000000000000000000000001000000000010000000000000000000001000000000000000000000000000000000010000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000000001000000000001000000000000000000000100000000000000000000000000000010000000010000000000000000000000000000000000010000000000000000001001000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000100000000010000000000000000000000000000000000000000000000000000000000000100010000000010000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000010000000000000010000000000001000001000000000000000010000000100000000000000000000010000000000000000000000000000000110000010000000000000000000000001100000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000010000010000000000001000000000000010000000000000000000010001000000000000000000010000000000000000000000000100000000000010000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000000000011000000100000001100000000000000000000000000000000000010000000000010000100000000000001000100000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000001000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000100000000000000000000000000100000000000000000100000000000000100000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000010110000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000100000001000000000000010100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000010000000000000000000000000000000010000000000000000000000100000000001100000001000000000000000000000000000000000100000000000000000000000000000000100000000001001100000000000010000000000000000000000000000000000001000000000000000000100000000000000000000010000000000000010000000000000000000100000000000000000010000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000100000000000000000000000000000000010010000000000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000000000000100000000100000000000000000000000000000000000000000000000000100000000000000000000001000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000010010000000000000010000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000001000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000100000000000000000000000000000000000000010000000000000000000000000000000000000000000010000000000100000000000000001000100000000000000000000000000010001000000000001000000000000000000000000000000011000000000000000000001100000000000000000000000000000000010000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000100000000100000000001000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000001000100000000000000000010101000000000000000000000000000100000000000000000000000000000101000000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000100000000000000000000000000000000000000100000000000100000000000000000000000000000100000001001000000100000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000100000001100000100000000000000000000000000000000110001000000000000010100000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000100000000001000000000000000000000010000000000000000000000000000001000100000000000010000000000000100100000000000000010001000000100100100000000000000000100000000000000000000000000000000000000000010000000000000010000000000000000000000000001010000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000010000000000000000100000000100000000001000000000000000000000000000000000000000000000000000010000010000000000000000000000000001000000010000000000000000000000000001000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000001100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000001000000000000100000001000000000010000000100000000000100000000000001100000001000000000000000000000000000000000000000000000000000000000000000000100100000000100000000001000000000000010000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0001000000000001000000000000000000000000000000010000000000000000000000000000000000000010001000100000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000011000000000000000000010000001000000000000000001000000100000000000000000000010000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000100000000000001000000001000000000000000010000000000000000010000000000000000000000000010010000000000000000000000000000000000100000000000000000000010000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000011000000010000000000000000000000000001000000000000100000001010000000000000001000000000000000000000000000000000001000010000000000000000000001001010000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000010000000000001000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000001000100000000000000000000000000001010000000000000000000000000000000000000000001000000000100000000010000000000010000000000000000000000000000010010000000000000000000000000010000000100000000000000000000000000000100001000000000100100000000001000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010000001000000000000001000000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000010000000000000000000001000000100000000001000000000000000000010000010000000000000000000000000000000000000100000000000000000000000000000000001000000000000000000000010000100000000000000000000000000001000000000000000000000000000000000000100000000000000000010000001000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000010100000100000000000000000000100000000000000000001001001000000000000000000000000000001000000000000000000000000001000000000000000001000000000000000001000000000000000000000000000000000000000000010000000000000000000000010000000000000000000000000100000001000100100000000000100000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000001001000000000001000101000000000000000000000100000000000000101000000000000000010000000000010000000000000100000000000000000000000000000000100000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000011010000000000000000000000000000000000000000000000011000000000101000000000000000000000001010000000000000000000000000000010000000000000000001000000010000000000010000000000000000000000000000010000000000000000000000000000100000000000000000000110000000000000000000000000000000010000000000000001000000000000000001001000000000000100000000000000000000000000000000100000000000000000000000000000010000000000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000001100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000010000000000000000000001000000000000000000010000000000000000000000000000000000000000000000010000000000000001000000000000000000010000000000000000000000000000000000000000000000101000000000000000100000000000000000000000000001000000000000000100000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000001000000000100000000100000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000100000000000000000000001100000000000000010000000000000100000000000000000000100000100000000000000000000000100000000000000100010000000000000000000000000000000000000000000000000000000000000000000001000000001000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000100000000000000000000001000100000000000001000000000000000000000000000100010000000000000010000000000000000000000000000000000011000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000001000000100000001000000000000000000000000010000000001000010000010000000001000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000100000000000000000000001000000010000000000010000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000001000000100100000000000000000000000000000000000000000000000000000001000000000000000001000000000000100000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000100000000000000000000000000000100000100000000000000000000000000000000000000000000000000000000000010000000000000000000010001000010000000000000000000000000000000001000000000000100000001000000000000000000000000000000000000000000010000001000000000000010000000000000010000000000000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000100000000000000001000000001000000000000000010000000000000100000000000000000000000000100000000000000000000000001000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000100000000000000000010000000000000000000100000000000000000000000000000000010000000000000000000000001001000000000001100000000000000000000000101000000000000000001001000000000000000000000000000000000000000000000000000100000000000000000100001000000000010000101000000000000000000010000000000000000100000000000100000100000000000000100000010000000000000100000000000000000000000000000000000000000000000000100000000000000000001010000000000000000000000000010000000000000000100000000000000000000000010000000000000000000000000000010000010000000000000000001000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000011010000000000000000000000000000100100000000000000000000000000000000000000010100000000001000100000000000000000000000000000000000000000000100000100000000000000100000000000000000000000100000100010000000001010000010000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000100000000000000001000010000110000000000000000000000000000000000100000001000111000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000000001001000000000000000100000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000100001000000010000000010000000000000000000000000000000000000100000000000000000000000000000000010010000000000000000000000000000000100000000010001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000010000000000000000000100000000000000100000000000000000100000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000010010000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000001000000000000000000000000101000000010000000000010000001000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000000000000100000000001000000000000000000000000000010000000000000000000000000000000000000000000000001000000010000000000000000000000000000000101000000000000000000000000000000000000001000000000010001000000000000000000000000000010000000000000000001000000000000000000000000000000000000000110010000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000001000000001100000000000000000000000010000000000000000000000000000000000000000100000001001000010000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001100000000000000100000000000001000000000000000000111000100000000000000000000000000000000000100000000000000000000000010000000000000001000000000000000000000000000000000000001000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000010010000000000000000000000000000000000000000000000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000100000100000000000000000000000100000000000000000010000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000101000001000000000000000000000100000000000000000000000010000101000000000000000000000000100000100000000000100000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000010000010000000000000100000000000000000000000000000000000000010001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000000001100000000000000000100000000000000011000000000000000000000000000010000000000000000000000000000100001000000000001000100000100000000000000000000000000000000010000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000100000000000000000001001000000000000001000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000010000000000000000000000000000000010010000000000000000010000000000100000000000000010000000001000100000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000000001000010000100000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000001000000001000000001000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000100010001000000000000000000000000000000000100000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000010000000000000000000000000000000000000000000000010000000000000000001000000100000000000000100000000000000000000000000001000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100010000000000000000000011000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000110000000100000000000000000000000000000000001000000000000000000000000000001000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000000000000100000100000000000000000000000100000000000001000001000000000000100000000000000000000000000100000000000000000001000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000001000000000100000000000000000000000000000000100000000000101000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000100000000000010000000000000000000000010000000000000000000001000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000010000000100000000000010000000000000000000001000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010100000000000000000000000000000000000001000000000000000000000000000010000000000000000000000000010000000100000000000000000000000000000100000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000011100000000000000001000000000000000000010000000000000000100000000000010000000100000010000000000000000000000000000000100000000000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000100000001000000000000000000000100000000000000000000000001000000000000000000001000000000010000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000000000000100000000000000000000100000000000000001000000000000000000000000000000010000000000000000000000000000001000000000001000000000000000000001100000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001000000000001000000000000000010010000000000000000000000000000000000000000000100000000100000000000000000000100000000001000000000000000000000001000000000000000000010000000100000000000000000010000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000100000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000101000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000110000000000000000000000000000001000000000001000000100000000000100000001000000000000000000000000000000000000000000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000100000100000000000000000000001000000100000000000100000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000010000000001000000000000000000000000001000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000100000000010000010000000000001000000010000000000000000000000001000000000001000001001000000000000000000000010000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000010000000000000000000000000000000000000000010000000000000001000000000000000010000000001000000000000000000000000000000000000000000000000001000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000111000000000000000000000000100000000000001001000000000000000000000000000010001000000000000000010001000000000100000000000000000000000000000000000000001000010000000000000000000000000000000000000000000001000000000000000110000000000000000000000000000000000000000000000000000000000010000000000000000000010000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000110000000001000000000000000000000000001000000000000000000000000000000000000000001000000000000000000000010000000000000000000000100000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000010000010100000000000000000000000000000000001000100100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000010000000010000000000000000000000000000000000000000000000000000000000010000000000000000010000100000000000000000000000000000000000000010000000000000000000000000010000010000000000000000100000000100000000000000010100000000000100000000000000001000100000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000110000100000000000000000000000010000000010000000000010000000000000000000000000000000000000000000010000000001000000000001000000000000110000000000000000000000001000000000000010000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000000000000100001000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000000000000000000001000000000000000000000000000000000000000000000000001000000000100000000001000000000000000000000000001000010000000000010100000001000000000000000000000000000000100000000010001000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000000010010000000000000000000000010000001000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000100000000000000000000000000000000000010000000000000001000000000000000000000000100000100000000100000110000000000000001000001000000000000000000000000000001000000000001000000000000000000100000000000000000000000010000100000000000000000000000000000010000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000010000000000010000000010000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001001000000000000000000000000010010000000000000000000000000100000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000101000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000000001000000000000100000000100000000000000100000000000010000011000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000011000000000000000000000000010000000000001000000001010000000000001000000000000000000000010000000000000000000000000000000010000000000000000000000000000000000000000010000000000000010000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110001000001000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000100000000001000100000000000000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000001100100000000000000000000000000000000010000100000000000000000000100010000000000000001010000100000000100000000010000000010100000000000000000000000000010000000000000000010000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000010000000000000001000000000000010000000000000000000000010010000000000000000000000000000000000000000000000000000000101001000000000101000000000000000000000000000000000000000000010000000000000000000000000001000000000000000001000000000000000000000000010000000000000000000000000001000000000000000000000010000000000100000000010000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000001000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100001000000000000000000000010000000000000000000000000000100000000101100000000000000000000000000001000001000000000001001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100010000000100000000000100000000000000000000000000000000000000010010000000000000010000010000000000000000000010000000000000000000000000010000000000000000100000000000000000000100000000000001000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000010000000000010000000000000000000000000000000000000000000100000000000000000000000010000000100000000000000010010000000000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000010000000000000000000000000000000000000000000000000000000000000000000000000000100010000000000000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000001010000001000000000010000000000100000000000001000000000000000000000000000000000000010000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101001000000000000000010000100000000000000000010000000001001000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000100000000110000000001000000001010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000001000001000010000000000000000000100000000000000100000000000000000100000000000000000000000010100000000000000000000000000000100000010001010000000000000000000000010000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000001010000000010000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000000001111000000000000000100000000000000000000000000000100000000000000000000000001000000000000000000000010000000000000000000000100000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000100001000000000000000100010000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000010000000000000000000001000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010100000000000000000000000001000000010000000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000001001000000000000000000000000001000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000100001000010000000000000010000000000100000000000000000000001000010000000000000000000000000000100000000000000000000000000000000000000001000000000000000000001000000000000010001000000000000100000000100000000000000000000100010000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000000000001000000000001000000000000000000000000100000000000000000010010000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000100000010000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000010000010000000000010000000000000000000000000000000000000000000000010000000000000000000000000000000000110000000000000000000000000000000000000000000000001000000000100000000000000001000000000000000011000000000000000000000000000000000000000000001000000000000000100000000000000000000010000000010000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000000000010000010001000000001000000001000000000000000000000000000000000001000000000000000000000000000000001000000000000100000000001001000100000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000100000000000000000000000001000000000000000100000000000000000100000000001000000000000000000000000000000010000000000000000010001000000000000000000000001000000100000000000000000000000000000000001000100000000000010000000000000001000000000000000000000000000010000000000000001000000000000000000000000000000000000010001000000100000000000000000000000000000000000000000000000000100000100000000000000000000100000000000000010000000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000100000000000000000000000000000000010000001000000000000000000000000000000000001000100000000010000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000100000000000000000000000000001000000100101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000010000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000010000100001000000010000000000000001000000000000000000000000010000000000000000000100000010000000010000000000010000000000000000000000000000000000000000000000000000001000001000000000000000000000000010000000000000000000000000000000000000000101000000000000000000001000000000010010001010010000000000000000000000000010000000000100000000000000000000000001000100000000000000000000000000000100000011100001000000000000001000000000000000000000000100000000000000010000000000000000000010000000000100000000000000100000000000000000000000000000000010000000000000000000000000000000100000000000000000000000000000000001000000010000000000000000000000000000000001000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001001001000000000000000000000000001000000000000001000000000000000000000000000000010000000000000100000100000010000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000010010000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000010000010000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000100000000000000100000000000000000000000000001000000000000000000000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000000000000010010000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000110000000000010000000000000000000000000000000000010000001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000100000000110000001000000000000000000000000010000100000000000000000000010001000000000000000000100000000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000100000000010000000000000000000000000000000000000000000000000000000000000000100000100000000000000000000000000100000000000010000000000000000000000000100000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000001000000000000000000000000000000000000000000100000001000010000001000000000000001100000000110000000000000000000000000000000000000000100001000000000000000000000000100000000000000000000100000000000100000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000001001000000000000000000000000010000000000000000000000000000000100000000100000000000000000000000001000000000000100000000000000000000000000010000000000000010000000100000000000000000000000000000000000000000000000000000000000000000001000100000100000000000000000000000000000000000000001000000000000000000000000000000000000000000100000000000010000001000000000000000000000000000000000000000000000000000000001000010000000000001000000010000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100001000000000000000001000000001000100000000010000000000000001000000000000000010000000000000000000000000000000000001000000000000000000000010000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100100000000000000000010000000000000000000000000000000001000100001001000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000001000000000000000000100000010000001000000000000000000000000000000000000000000000001000000000000000000100000000000001000000000000000000000000000000000000000000000000000010000010000100000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000100010000010000010000000000000000000000000100000000000000010000000000000000010000000000000000011000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000001000000000000000000100100000000000000000010000000000000000000000000000100000000000000000000000000000001000100000000000000010000000010001000000000000000000000000000010000000000000000000000001000000100000000000000000000000001000100001100000001010000000000000000000000000010100000000000000000010000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000100000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000010000000001000100000000000000000000000000000000000000000000101000000000000000000000000000000000000000000010000000000000000000101000000000000000000000000000000000000000000010001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000001000000000100000000000000000000000010100000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000100000100000000010000000000001000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000010000000000000000000000100000000010000100000000000000000001000000010000000000000000000000000000000100000000000000000000001010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000001000000000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000000000000010001000000000001000000000000000100001000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000011000000000000000000000000000000100000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000000010000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000010000000000001000000000000010000000100000000000001010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000010100000000000000000001000000000000000000000000000001100010000000100000000000000000000000001000000000000000101000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000010000000100000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000010100000000000000000010000000000000100000000000010000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000100000000000000100000000000000000000000000000000010000000000000000000000000000000001001000000000000000000000010000000000000011000000000000000000000000000000001000000000000000000000000000000000000000000010000000000000001000000000000100000000000000000000000110000000010100000000000000000001000000000001000000000000000000000001100000000000000000010001000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000001000000000000000000001000100000000000010000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000010100000000000000000000000000000000000010100100000000000000000001100000000100000000010000001001000000000000000001000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000100001000000000000000000000000000000000100000000100000000000100000000000001000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000010000000010000000000000000000000001000000010010001000000000000000001000000100000000000000000000000000000000000000000110000000000000000000000001000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000001000000000000000000000000010000010000000000000000000000010000000000000100000000000000000000000000000000000000010000000000001000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000100000001000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000100000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000001000000000000000000000000000000000000000000000000010000000000000101000000000000010000000000000000000000000000000000000000000000000010100000000000000000000100000000000000000000000000000001000000000001000000000000000000110000000000000000000000000100000000001000000000000000000000000000000100000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000010000000000100000000000000000000000000000100000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000011100000000100000000000000000000000000000001000001000000000000000000100000000000000010100000101000000001001000000000000000000000100000000000000000000000000000000000000000000000001000000000100000000000000000000011000000000000000000000000000000000000000000000000000000000000000000000001001000000000010000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000010001000000000000000000000001000100000000000000000000000001000000000100000000000000000000000000000000000010000000000000000010000010000000010000000001100000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000100000000010000100000000000000000000000000000000110000100011000000001000000000000000000000001000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000001000000000000000000000000000000000010001000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000011000000000000000000000001000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000001000000000000000000000000010000000000000000010000000000000000000000000100000000000000010000000000000000000000010000000010000000000000010000000010000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000010010000000000000000000000000000000000100000000000000000000000001000000000000000000000100000000000000000000000000000000000100000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000100000000000000000000000000010100010001000000010000000000000001000100000000100100000000000000000000000000001000100000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000010000000000010000001001000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000001000000000000100000000000000000000000000000100000000000000000000000000010000000000000100000000000000000000001100000000000000000000000000000000000000000000000000010000000000000000000000010000000000000000000001000000000000000000000000000010000000000000000000000000000000000000100001000000000000000001000000000000000000100100000000000000100000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000010010000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000100001000000000000000000000000000000000000100000000000000000010000000000000000000000000000000000000000100000010000000000000000000000000000000000100100000000000000000000000000000000000000000100001000000000000000100000000000000000000000001000000000000000000000000000001000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000001000000000000000000000001000000000000001000000000000001001000000000000000000000100010000000000000000000000000000000000000000001100000100000000000000000000000010000000000000000000000000010000000000000000001000000010000000000000000000000000000000000000000100000010000100000000000000010000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000100100000000000000000100000000000000000000010000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000010000000010000000000000000000000000000000000000000000000100000100000000000000000000001000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000100000000010000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000001001000000000000000000000011000000010000010000100000000000000010000001000000000000000000000000000000000010000000001000100000000000100000000000000000000000000000000000000000000000000000000000100000010001000100000000010000000000000010001000000000000000000000000000000000000000100000000001000000000000000000000100100000000000100000000000000000000000100100100000010000000000000000000000001000110000000000000000000000000100000000000000000000000000000100000000000000000000000001000000000000000000000001000100000000000000000001000000000000000000000000000000000000000000100000000000000000001000000000000000000000000000000000000000100000000000000000100000000000000000100000000000000000000000000000001000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000010100000000100000000000000000000000000000000000000000000010000000000000000000000000000010010000000000010100000100000000000000000000000000100000000000000000010000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000000010000000100000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000100000010000000000000100000100000000000000100000000000000000000000000000000001000000000000000000000000000000000010000000000000000000000000000000000000100000100000000001000000000000000000000010000000000000000000000000000000000000000010000000000010000110000000000110000000000000000000000000001000000000000000000000000000000000000000000000000000010001000000010000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000010000000000000000000000000011000000000000000000000000000000100100010000000000000000000000000000000000000000000000000000000000000010000000100000000000000000000000000000000000000000000011000000000000000000000000000000100000000000000000000000100000000000000000000010000000001000000000000100010000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000010000000000000000000000000000000000001000000001000000000000000000001000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000010100000000100000000100000000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000000100000000100000000000000000000000000000000000000010000000000100000000000000000000000000000000000000000000000000000000000000000010001000000001000000100001100000000000000000000000000000000000000010000010010000000000000000000100000000000000000000000000000000000000000000010000000001000000000000000000000000000010000000000000000000000000100000000000000000001000000000000001000000000000000000010000000000010000000000000000000000001000000000000000000000000001000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000000000000000010000000000100000000000000010000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000000000100000000000000000000100000000010000001000000000100000000100000000000001100000000000100000000000000000000000000000000000000000001010000000000000000000100001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000100100000000000000100001000000000000000000000000000100000000000000000000001100000000001000001000000000010000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000001000000000001000000000000000000000000010000000000000000001000000100000000010100000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000011000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000100001000000000000100000000000000000000000100000000000100100000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000001000000001100000000000000000000000000010000000000001000000101000000000000000000000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000101001010000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000001000000000000000000000100000000000000010100001000100000000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000010000000000000000000000010011000000000000000000000000100000000000000000000000000000000000000000000000000000000100000001000000001000001000000000000000000000100000010000000000000101001000000000000000100000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000010000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000100000101000000000000000000001000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000001000000000000000100000000010000000000000000000000000000000001000000000000000010001000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000010000100000000000000000000100000000000000000100000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000000000100000000100001000000000000000000000000010000000000000000000000000000000000000000000010000000000000000000000100100000100000000000000000000000000100000000000000100000000000000000000000000000000000100000000000000010000000000000000000000100000000000000000000000000000100000001000000000000000000010000100000000000100001000000000000000000000000000100010000000000000010000000000010000000000000000000000000000000000000000000000000000010000000000000000000000000100000000000000100000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000001000000000000000000000000100000000000000010000000000000000001001000000100100000000000001000000000000000000000010000000000000000010000000000000000000000000000000000100001000000000000100000000000000000000000000000000000000000000000000100000000010000000000000001000000000000000000000000000000000001000000000001000000000001000000000000000000000000000000000000000000000000000000000100000000000000000000000100000000100000000000000000000000000000000000000001000100000000000000000000000000000000100000000000000000000010010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000100100000000000000001000000000000000000100000000000001000000000000000000100000000000001000000000001000000000000000000000000000000000000001000000000001000000000100000000000000000000000010000000000000000000000100000000000000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000000000000000000000000001010000000000000000000100000000000001000000000100000000000000000000000100000000000000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100000000001010000000000000000000000000000000100000000000000001000000001000000000000000000000000000000000000000000000101000101010000000000000000000000000000000000100000000000000000000000001000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000001000000000000000000000000000000000000000000001010100001000000000000000000010000000000000000000001000000000000000100010000010000000000000000000000000000000100000000000000001000000100000000000100000100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000011000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000001000000000000000000000000000000000000000000001010001000010000000000100000000010000000000000000000000010000000000000000000000100000000000000000000000010001000000000000000000000000000000000010000000000000000000000001000000000000000100000000000000000000010000000000000000000000000000000000010000000000010000001000000000000001000000100000110100100000000000010001000100000000000010000000100000000000000100000000000000001000110000000000000000000000000010000000000000000100000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000010000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000010000000000010000010000001000000000000000000000000000001010000100000001000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000001000000000000000001100000000000000000000000010000000100010000000000000001000000000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000100001000001000000000000000000000000000000000100000011000000000100000000000000000000000000000000000000000000000000000100010000100000000000000000000000000000100000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000100000101000000000000001000000000110000000001000000000000000000000000000000000000000000010000000010000000000000000000000000000000100000000001000000000000000000000000001000000100001000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000001000010000000000000000000000000000000000000000000000000000000000000000000000001000010000000000000010000000000010000001000001000000000000000000000001000000000000000000000000000000001000000000100000000000000000000010000000000000000000000000000000000010000000000000001000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000000000000010000000000000000000000000000010010000000000000000000000000000000000000000000000000001000000000000000000010000000000000000000000000000000100010000000000010000000010000000000000000001000000000000101000000000000010000000000000000000000000000000000000000000000001000000000000000000000000100000001000000000000010000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000100000000000000000000000000000000001000001100000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000000100000000000000100000010000000000000000000000000000000000000000000000000000000001000000000010000000000100000000000000000010000000000000000001000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000100010000000000000000000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000100000000000100000000000001000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100100001000000000100100000000000000100000000000000000000000000000010000000001000000000110000000000010000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000010000000000100100000000000100000000000000000000000000001000000000000000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000010000000000000000000000000000000000000001000000000010000000000000000000000000100000000000000000001000000000000000000000001100000000000000000000000001000000000000000011000000000000010010000001000000100100000000000000000000000000000000011000000000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000100001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000001000000000000010000000000000000001000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000000010000000000000001000000000000000100000000000010000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000011000000000000000000000000000000000101000000000000000000000000000000011000000000000000000100000000000000000010000000000000000000000000000000000000000010000000000000001000000000000001000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000010000000010000000000000000000000000000000000000001000000000000000100000000000000000000000000000001000000010000000000000000000000000000000000100000100000000000000000000000000000000010000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000001000000000000000000000000000000000000100100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000010000000000000000000000000001000001000000000000010000010000000001000000000100000000000100000000000010000010000100000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000100100000010000000000000000000000000000000000000000000100000000000000000000000000001000000000000000000000001000000000000001000000000000000000000000000100000000000000000000000000000000000001100010000000000000001000000000000100001000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000000000101010001000000000000000010000000000000000000000000000000000000000000000010000000000000000000000000100001000000000000000000000000001000000000000000000000000000000100000000000000000000000010000000000001001000000000000000000000000000000000000000000010000000000000000000000000100000000000000000010100000000000000000000000000000000000000000000000000100000000000010000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000100001000000000000101000000000000000000000000000000000000100000000000000000000000000000000000001000000000000010000000000000000000000000010010000000000000000000000000000001000001000000000000000000101001010000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000000100010010000000000000000100000000010100000000000000000000000100000000000000000000000000000100000010000000000000000000000000000000000000000000000100000001000000000000000000000000010000000000000000000000000000000000000000010000000000000000000100000010000000000000000000000000000000000000000000100000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000001000001000000000000000000000000000000000000000000000000000000010000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000100000000000010000100000000000000000000000000001001000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000001000000100000000000000000000000000000000000000000000000000010000000000000000000101000000000000000000000010000000001010000000000000000000001000010100000000000000100000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001100100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000101001000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000010000000000000000000000000100000000000000000100000000000000000000100000000000000000000000000000000000000000000010000000000000000000100000001000000000001000000000000000000000000000000000000000000100000001000000000000000000000000000000000001000000000000000000000000010000000000000000000010000000000000000100000000000000000000000000000000000000000010000100000000000000000000000100000010000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000001000000000000000000000001000000000000000000000000010010000001000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000000000000000000000001000001000000100000010001010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000100000000100000000000000000000000000000000000000000000000000000000100000000000000000001000100000000000100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000001000000000000000000000000000000000000010000000000000000000100000000010000000000000000000100000000000000000000000000000000000100000000000000000000000000000000000000000010000000000000001000001001000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000010000000000000000000000000000000001000000000000000000100000000010000000000000000000000000000000000000001000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010000000000000000000000000000000000000000010000000000000000000001010010000000000000000000100000000010000000000000000000101000000000000110000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000101000000000000100000000000100000000000000000000000000000000000000000000000000000000000000010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000000000000000000000000001000000001000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000101000000000000000000000000000000000000100000000000000000000000000001000000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000001000000000000000000000000000000001000000000000000000000000000000001000000000000010000000100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001000000100000000000011000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000100000000000000000000000000000000000000000000010000010000000000000000000000000000000000000000000000001001000000000000000000000000000000001000000000001001001000000100000000000000000000000100000000000000000010001000000000000100000000000000000000000000000000000000000000000000000000000000000000001000000000000100000000000000100000000000000000000000000000000000000000000000000000001000000000000000000100100000000000000000000000000000000000000000000000001000000000000000000000000000000000101100000000000000000001000010000000000000000000000010000000000000000000000000010000000100000010000000000000000000100000000000000000000001000000000000000000000000000000010000000000000000001000000000000000000000000000000000010000000000000000000001000000000000000000000000000000000000010000000000010000000000000001000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000000010000100000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000010000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000010000000010000000000000001000000010000001000000000000000000000000010000000000010000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000001000010000000101000001000010001000000000000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000001000000000000000000000000000000000000000100000000000000010000001000000000000000000000000000000100000000001000000000000000001000000000000000100010000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000010001000000001000000000000000000100000000000100010000000000000000000000000000000000000001000001000001000000000000000000000010000000000000000000000000000100000000000001000000000000000010000000000000000000001000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000000000000000000100000000000000010000000000000000000000000000101000000000001000010000000000000000000000001000000000000000000000000000000000000001001000000000000000000000000010000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000001000000000001000000000100010000000000100000000000000000100000000010000000000000000000000100000100000010000000010000100000000000000001000000000000000000000000100000000000000000000000100000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000010000000000000010000010000000010000000000000001000000100000000000000000000000000000000000000000000000000000000000000001000000010000000000000000000000000000001000000000000000000100000000100000000000001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000100000101000000000000000000100100000000100000000000000000000000000000000000000010000000100000000000000000000000000000100000000000000001000000000000010001100000000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000010000000000001100000000000000000000000000000000000000000000000000000000100100010000001000000100000000010100100000000000000000000000000000000000000000000000100000000000000000000110000000000010000000100000000000000000000010000000000000000000000000001000000000000000000000000000000000100000000001000000000000000100000000000000000000001000000010100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000010000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000100000000000000000000000000000001000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000010000000000000100000000010000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000000000010000000000000000010000000000000000000001000000000000000000000000000000000000000100000000000000100100000000000000000000000000000000000000000000000000000100000000000010010000000000000000000000000001000000000000000000000000000000000000000000000000000010000000000000000000000000000000000100000000000100000000000100000000000100000000000000000000100000000000000000000100000000000000000000000000000000000000000100000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000100000001000000000000000000000000000000000000000100000000000000000000100000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000110000000000000010000000000010000000000000000000000001010000001000000000001000000000000000000000000000001000000000010100000001000000000000000000000000000000000000001000000000000000000100000000000000000000000000000010000000000000000000100000000000000000000000000000001000000000000000000010000000000000000000001001001000000000000000000001000000000000000100000000100000000000000000000000100000000000010000000010000000000000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000010000100000000000000000000000000000000000000000110000000000000100000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000001000000000000100000000000000000000000100001000000000000000000100010000000000000000000000000100000000000000000000000010001000000000000000000000000000000000110000000000000000000000000000000000000000100000000000000100000000000000000000010000000000000000000000000000001010000000000000100000000010000000000000000100000000000000000000000000000000001010000000001000000000000000000000100000000000001001000000010000000000000000011000000000000000001000000000000000100000001000000000100000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000110000010000000000000000000000001000000000000000000100000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000001000000000000000000000000001000000000000100000000000000100000001000000000000000000100000100000000000000000000000100000000000000001000000010000010001000000000010010000000001000000000000000000000000000100000100000000000100000000000010000000000000000000000000000000000000000010000000000000000000000000000110000000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000010000000001000000000000000000001000000010000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000000000001000000000000000001000000000000000000000000000000000000000001000000000000000000000000000000000000001010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000001000000000000100000000000000000000000000100010000100000000000000000000000000000000010000000000000000000000001000001000000000000000000000000000000010000010000000000010000000000000000000000000100000001000000000000000100000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000001000000000000000000000001000000000001000000001010000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000100010000000000100000000000000000000000000100000000000000000000000000000000100000000100000000000000000000000000000000000100010010000000000100000000000000000000000000100000001000010000100000000000000000001000000001000000000000100000010000000010000000000000000000010000000000100000000000000000000000000000000001010000000000000000000000010100000000000000000000010000000000000000000000000000000000010000000000001000000000000000001010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000001000000000000000001000000000000000001000000000000000000000000000000000100000000000000000000000001000000000000000000100000000000000000000100000000000000000010000000000000000000000000000000000000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000110000000000000000000000000000000010100000000000000000000001000000000000000100000000000000000000000000000000000010000000000000000000000001011001000000000000000000000000000000000000000001000000000000000000001000000000000000000000001000000000000000000000000000100000000010000000000000000000100000000000000000000000000010000000000000000000000000000000010000000000000010000000010000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000001000000000000000000000000000000000000100000000000001000001000010000001000000010000000000000000000000000000000000001000000000000000000000000000100000000000000000000100001000000101000000010000000000000000000000100000000000000000000000000000010000000000000000000000000001000000000000000000000000000100000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000100000000000000100000010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000010000000000000000000000000000000000010000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000100000000001000010100000000000000000000000000000001000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001000000100000000000000000000000000000000000000000000000010000000010000100000000000000000000000000000000000100000000001000000000000000000000000000000000000100000000000010000000000000000000000000000000000000000000000000000000000000100000000000000000000000010000000000000000010000000000000100000000000000000000000100000000000010000000000100000000000000000000000000000000000001000000000000000000000000000001000000000000000000010000000000000100000000000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000100001000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000001000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000001000000000100000000000000000000000000000000000000000000000000000000000001000000000000000100000000001000100010000000010000000000100000000000000000000000000000000000000000000000000000001100000000000000000000000000000010000000000000000000000000000000000000000000000000000001000000000000000000000000000000000001000000000000010000000000000001000000000000000000000000000000000000000000000000000001000000100000000000100010100000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000001100000000000000010000000010000000000000000000000000000000000000100001000000010000100000000000000000010000000000000000000000001000000000000000000000000000000001010000000000010000000000000100000100000000000000000000000000000000000000000000000000000010000000100010000000000000000000000000000000000000000000010000000000010001000000000000000000000000000001000000000000100100000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000001000000000000000000000010000000000000000000000010000100000000100000000000000000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000000000000000000000000001000000000000000101000000000000000000000000000000000100000000010000000000100000000000100000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000001000000000000000000000000000000000001000000000010000000000000000001000000000000000000010000000000000000000000000000000000000000000000010000000000000000000010000000000000000000000000000000000000000000000000000000000000000000001000100000000000010000000000000000000000000010000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000010100000000000000000000000000000000000000010000000000000000000000000000000000000000000000000110010000000000000000100000000000000000000000000000000000000000000000000001000100000000000010000100010000000000000000000000000000000000010000000000000000000000010000000000000000000000000000000000000000000000000010000000000000000010000000010000000000000000000000000100000000000000000000000000010000000010000000000000000000100000000000000000000000010000000000000000000000010000000000000000100000000000000000100010000000000100000000000000000000000000000000000000000000000000100001000000000000000010000000000010001000000000100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000100000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000100000000000000000000000100000000000100010000000000000000000000001000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000100000000000000100000000000000000000000000100000000000000000000000000000000000001000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000010000000000000000000100000000000000000000000000000000000000000000010000000000000000000000011000000010000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000001000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000000100000000000000000000000000000000000001010000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000001000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000000000000001100000000000000000000000000000000000000100000000001000000001000000000001000000000000010000000000000010000100010000000000000000000100000000000000000000000000001000000000000000000000000000000000000000000000001000000000110000001000000000000000000000000000001000010000000100000000000010000000000000000000000100000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000010100000000000000000000000000000000000000000000000000000000000000000000000000000000001000000001000000010100000000000000010000001000000000000000000000000000000000000000010000000000101000000001001000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000010000000000000010000000000000000110000100000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000001000000000000000000000000100000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000011000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100001000000000000000000000100001000000000010000000001001000000000000001000000000010000000000000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000001000000000001000000000100000000000000000000000000000000000010000000000000000000100000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000100000000000000000000000000000000010000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000010000000000000000001001001000001000001000000000000100000000000000100000000000000000000000000010010000000000000000000000000000000000000000010000000001000100000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000100100000000000000000000000000000000000000000100000000010000100001100000000000000000000000000000000000000000010000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000100000000000000000000000000001000000000000000100000000000000000000000000000100000000000000000000000000000000000000000101100000000000100000000000000000000000100000000000000000000000000000000000000000000000000010010100000000100000000000000000100000000000100000000001100000000000000000000100000000000000000000000000100010000001000000000000000000000001000100000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000000000000000000000000100000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000110000000000000000000010000000000000000100000000000000000000000000000000000001000000000011000000100001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000001001100000000000000000000000000000000000000000000000100000000001000001000010000000000000000000010000000000000000000000000000000000000000000100000010000000000000000001000000000100000000000000000000000000000011010010000000100000000000010000000000010000000000000000000000000000000000010110000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000000000000000000000001000000000000000100000000110000000000000000000001000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000100000001010000000000000000000000010000000000000000000100000000000000000000010000000001000010000000000000000000000000001000000000001000000000000000000000000000000000000001000000000000000010001000000000000010000000000000000001000000000000000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000010000010000010000000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000010000000000000000100000000000000000000000000000000000000000010110000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000010000001000000000000000001000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000100000010000001000000000001000000000000000000000000000000000000000000000000000000000000000000000100000000000000100000000000000000000000000000000000000000000000000000000000000000000000001001000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000100000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000001000000000000000000100000000000000000000000000000000000000000000001000000000000000000001010110000000000000000000000000000001000000001000100000100000000000000000000000000000000010000000000100000000000000000000000010010100000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000010000000000000000010000000000000000000000000000000000100000000000000001000100000001000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100100010000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000001000000000100000000000000000000000000000000000000000000000001000000010000000000000000000000000000000010001100100000000000000000000000000000000000100000000010010000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000100000000000000000000000000000000000000101000000000000000000000000000000000000000000100000000001000000000000000000000000001000100000000010000000000000100000000000000000000000000000100000001000000000000000000000000000000010010000000101000000000000000000000010000000000000000000000000100000000000000000000000001000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000001000000000000000000000000000000001000000010000000000000000000000000010000100000000001000000000000000000000000000000000001000000000000000001000000010000001000000000010000000010000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000100000000100000010000010000000000000000000010000000000000000000000000000000000000000000000100000000000001000000000000000000000000000000000000000000000000000000000000010000000000000010000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000100000100000000000010000000000001100000000000000001000000100000000000100000000000000100000000000001000000010000000000000000000000010000000010000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000001000000000000000000000000000001000000100000010100000000000000000001000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000000000000000000100000000000000010000000000000000001000000000000000010000000000000000000000000000000000000000001000000000000000000001000000000000000000000000000000010000000000000000000000000100000000000000000010000000000000000000000000000001000000000000000000000000000000001100000000000000000000000000000000100000000010010000000000000000010000000001000000000001000000000000000000000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000100000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000100000000000000000000000000000000010000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000100000000000010001000000000000001000000000000100000000000000000010110000000010000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000001100000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000001010000001000000000000000001000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000010000000000000000000000000000000000000000100000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000110010000001000000000000000100000010000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000001000000000000000000010000000000000010100000000000000000000000000000001000000000000000000000000000000000001000000000000000100000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000010000000000000000000100110000000000010000000000000000000000000000000100000000000000000000100000000000000000000000000100010000000000001000000000000000000000000000010000000000000010000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000000000000000000000000000000000000000000000000000000001100000000000000000000000000100000001010000000000000010000000000000000000000000000100000000000000000000000000000000010000000001000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000100000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000010000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000001000000000000000000100000000000000000000001000000000000000000000000000000000000000100000010001010000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000010000000000001000000000000000000001000001000010000000000000000000000000000000000000000000100000000001000000000000000000000000000100000000000000000000000000001010000000000001000000000001000000000010000000000100000010000000000000000000000000000100000000000000000100100000000000100000000000000000000100000000000100000000000010001000010000000000000000000000000000000000000000000000000000000000000000000001000000000100000000000000000000000000000000000000000000000000000000000100000000000