Identifier
Mp00134: Standard tableaux —descent word⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Images
[[1]] => =>
[[1,2]] => 0 => 0
[[1],[2]] => 1 => 1
[[1,2,3]] => 00 => 00
[[1,3],[2]] => 10 => 01
[[1,2],[3]] => 01 => 10
[[1],[2],[3]] => 11 => 11
[[1,2,3,4]] => 000 => 000
[[1,3,4],[2]] => 100 => 001
[[1,2,4],[3]] => 010 => 010
[[1,2,3],[4]] => 001 => 100
[[1,3],[2,4]] => 101 => 101
[[1,2],[3,4]] => 010 => 010
[[1,4],[2],[3]] => 110 => 011
[[1,3],[2],[4]] => 101 => 101
[[1,2],[3],[4]] => 011 => 110
[[1],[2],[3],[4]] => 111 => 111
[[1,2,3,4,5]] => 0000 => 0000
[[1,3,4,5],[2]] => 1000 => 0001
[[1,2,4,5],[3]] => 0100 => 0010
[[1,2,3,5],[4]] => 0010 => 0100
[[1,2,3,4],[5]] => 0001 => 1000
[[1,3,5],[2,4]] => 1010 => 0101
[[1,2,5],[3,4]] => 0100 => 0010
[[1,3,4],[2,5]] => 1001 => 1001
[[1,2,4],[3,5]] => 0101 => 1010
[[1,2,3],[4,5]] => 0010 => 0100
[[1,4,5],[2],[3]] => 1100 => 0011
[[1,3,5],[2],[4]] => 1010 => 0101
[[1,2,5],[3],[4]] => 0110 => 0110
[[1,3,4],[2],[5]] => 1001 => 1001
[[1,2,4],[3],[5]] => 0101 => 1010
[[1,2,3],[4],[5]] => 0011 => 1100
[[1,4],[2,5],[3]] => 1101 => 1011
[[1,3],[2,5],[4]] => 1010 => 0101
[[1,2],[3,5],[4]] => 0110 => 0110
[[1,3],[2,4],[5]] => 1011 => 1101
[[1,2],[3,4],[5]] => 0101 => 1010
[[1,5],[2],[3],[4]] => 1110 => 0111
[[1,4],[2],[3],[5]] => 1101 => 1011
[[1,3],[2],[4],[5]] => 1011 => 1101
[[1,2],[3],[4],[5]] => 0111 => 1110
[[1],[2],[3],[4],[5]] => 1111 => 1111
[[1,2,3,4,5,6]] => 00000 => 00000
[[1,3,4,5,6],[2]] => 10000 => 00001
[[1,2,4,5,6],[3]] => 01000 => 00010
[[1,2,3,5,6],[4]] => 00100 => 00100
[[1,2,3,4,6],[5]] => 00010 => 01000
[[1,2,3,4,5],[6]] => 00001 => 10000
[[1,3,5,6],[2,4]] => 10100 => 00101
[[1,2,5,6],[3,4]] => 01000 => 00010
[[1,3,4,6],[2,5]] => 10010 => 01001
[[1,2,4,6],[3,5]] => 01010 => 01010
[[1,2,3,6],[4,5]] => 00100 => 00100
[[1,3,4,5],[2,6]] => 10001 => 10001
[[1,2,4,5],[3,6]] => 01001 => 10010
[[1,2,3,5],[4,6]] => 00101 => 10100
[[1,2,3,4],[5,6]] => 00010 => 01000
[[1,4,5,6],[2],[3]] => 11000 => 00011
[[1,3,5,6],[2],[4]] => 10100 => 00101
[[1,2,5,6],[3],[4]] => 01100 => 00110
[[1,3,4,6],[2],[5]] => 10010 => 01001
[[1,2,4,6],[3],[5]] => 01010 => 01010
[[1,2,3,6],[4],[5]] => 00110 => 01100
[[1,3,4,5],[2],[6]] => 10001 => 10001
[[1,2,4,5],[3],[6]] => 01001 => 10010
[[1,2,3,5],[4],[6]] => 00101 => 10100
[[1,2,3,4],[5],[6]] => 00011 => 11000
[[1,3,5],[2,4,6]] => 10101 => 10101
[[1,2,5],[3,4,6]] => 01001 => 10010
[[1,3,4],[2,5,6]] => 10010 => 01001
[[1,2,4],[3,5,6]] => 01010 => 01010
[[1,2,3],[4,5,6]] => 00100 => 00100
[[1,4,6],[2,5],[3]] => 11010 => 01011
[[1,3,6],[2,5],[4]] => 10100 => 00101
[[1,2,6],[3,5],[4]] => 01100 => 00110
[[1,3,6],[2,4],[5]] => 10110 => 01101
[[1,2,6],[3,4],[5]] => 01010 => 01010
[[1,4,5],[2,6],[3]] => 11001 => 10011
[[1,3,5],[2,6],[4]] => 10101 => 10101
[[1,2,5],[3,6],[4]] => 01101 => 10110
[[1,3,4],[2,6],[5]] => 10010 => 01001
[[1,2,4],[3,6],[5]] => 01010 => 01010
[[1,2,3],[4,6],[5]] => 00110 => 01100
[[1,3,5],[2,4],[6]] => 10101 => 10101
[[1,2,5],[3,4],[6]] => 01001 => 10010
[[1,3,4],[2,5],[6]] => 10011 => 11001
[[1,2,4],[3,5],[6]] => 01011 => 11010
[[1,2,3],[4,5],[6]] => 00101 => 10100
[[1,5,6],[2],[3],[4]] => 11100 => 00111
[[1,4,6],[2],[3],[5]] => 11010 => 01011
[[1,3,6],[2],[4],[5]] => 10110 => 01101
[[1,2,6],[3],[4],[5]] => 01110 => 01110
[[1,4,5],[2],[3],[6]] => 11001 => 10011
[[1,3,5],[2],[4],[6]] => 10101 => 10101
[[1,2,5],[3],[4],[6]] => 01101 => 10110
[[1,3,4],[2],[5],[6]] => 10011 => 11001
[[1,2,4],[3],[5],[6]] => 01011 => 11010
[[1,2,3],[4],[5],[6]] => 00111 => 11100
[[1,4],[2,5],[3,6]] => 11011 => 11011
[[1,3],[2,5],[4,6]] => 10101 => 10101
>>> Load all 3264 entries. <<<
[[1,2],[3,5],[4,6]] => 01101 => 10110
[[1,3],[2,4],[5,6]] => 10110 => 01101
[[1,2],[3,4],[5,6]] => 01010 => 01010
[[1,5],[2,6],[3],[4]] => 11101 => 10111
[[1,4],[2,6],[3],[5]] => 11010 => 01011
[[1,3],[2,6],[4],[5]] => 10110 => 01101
[[1,2],[3,6],[4],[5]] => 01110 => 01110
[[1,4],[2,5],[3],[6]] => 11011 => 11011
[[1,3],[2,5],[4],[6]] => 10101 => 10101
[[1,2],[3,5],[4],[6]] => 01101 => 10110
[[1,3],[2,4],[5],[6]] => 10111 => 11101
[[1,2],[3,4],[5],[6]] => 01011 => 11010
[[1,6],[2],[3],[4],[5]] => 11110 => 01111
[[1,5],[2],[3],[4],[6]] => 11101 => 10111
[[1,4],[2],[3],[5],[6]] => 11011 => 11011
[[1,3],[2],[4],[5],[6]] => 10111 => 11101
[[1,2],[3],[4],[5],[6]] => 01111 => 11110
[[1],[2],[3],[4],[5],[6]] => 11111 => 11111
[[1,2,3,4,5,6,7]] => 000000 => 000000
[[1,3,4,5,6,7],[2]] => 100000 => 000001
[[1,2,4,5,6,7],[3]] => 010000 => 000010
[[1,2,3,5,6,7],[4]] => 001000 => 000100
[[1,2,3,4,6,7],[5]] => 000100 => 001000
[[1,2,3,4,5,7],[6]] => 000010 => 010000
[[1,2,3,4,5,6],[7]] => 000001 => 100000
[[1,3,5,6,7],[2,4]] => 101000 => 000101
[[1,2,5,6,7],[3,4]] => 010000 => 000010
[[1,3,4,6,7],[2,5]] => 100100 => 001001
[[1,2,4,6,7],[3,5]] => 010100 => 001010
[[1,2,3,6,7],[4,5]] => 001000 => 000100
[[1,3,4,5,7],[2,6]] => 100010 => 010001
[[1,2,4,5,7],[3,6]] => 010010 => 010010
[[1,2,3,5,7],[4,6]] => 001010 => 010100
[[1,2,3,4,7],[5,6]] => 000100 => 001000
[[1,3,4,5,6],[2,7]] => 100001 => 100001
[[1,2,4,5,6],[3,7]] => 010001 => 100010
[[1,2,3,5,6],[4,7]] => 001001 => 100100
[[1,2,3,4,6],[5,7]] => 000101 => 101000
[[1,2,3,4,5],[6,7]] => 000010 => 010000
[[1,4,5,6,7],[2],[3]] => 110000 => 000011
[[1,3,5,6,7],[2],[4]] => 101000 => 000101
[[1,2,5,6,7],[3],[4]] => 011000 => 000110
[[1,3,4,6,7],[2],[5]] => 100100 => 001001
[[1,2,4,6,7],[3],[5]] => 010100 => 001010
[[1,2,3,6,7],[4],[5]] => 001100 => 001100
[[1,3,4,5,7],[2],[6]] => 100010 => 010001
[[1,2,4,5,7],[3],[6]] => 010010 => 010010
[[1,2,3,5,7],[4],[6]] => 001010 => 010100
[[1,2,3,4,7],[5],[6]] => 000110 => 011000
[[1,3,4,5,6],[2],[7]] => 100001 => 100001
[[1,2,4,5,6],[3],[7]] => 010001 => 100010
[[1,2,3,5,6],[4],[7]] => 001001 => 100100
[[1,2,3,4,6],[5],[7]] => 000101 => 101000
[[1,2,3,4,5],[6],[7]] => 000011 => 110000
[[1,3,5,7],[2,4,6]] => 101010 => 010101
[[1,2,5,7],[3,4,6]] => 010010 => 010010
[[1,3,4,7],[2,5,6]] => 100100 => 001001
[[1,2,4,7],[3,5,6]] => 010100 => 001010
[[1,2,3,7],[4,5,6]] => 001000 => 000100
[[1,3,5,6],[2,4,7]] => 101001 => 100101
[[1,2,5,6],[3,4,7]] => 010001 => 100010
[[1,3,4,6],[2,5,7]] => 100101 => 101001
[[1,2,4,6],[3,5,7]] => 010101 => 101010
[[1,2,3,6],[4,5,7]] => 001001 => 100100
[[1,3,4,5],[2,6,7]] => 100010 => 010001
[[1,2,4,5],[3,6,7]] => 010010 => 010010
[[1,2,3,5],[4,6,7]] => 001010 => 010100
[[1,2,3,4],[5,6,7]] => 000100 => 001000
[[1,4,6,7],[2,5],[3]] => 110100 => 001011
[[1,3,6,7],[2,5],[4]] => 101000 => 000101
[[1,2,6,7],[3,5],[4]] => 011000 => 000110
[[1,3,6,7],[2,4],[5]] => 101100 => 001101
[[1,2,6,7],[3,4],[5]] => 010100 => 001010
[[1,4,5,7],[2,6],[3]] => 110010 => 010011
[[1,3,5,7],[2,6],[4]] => 101010 => 010101
[[1,2,5,7],[3,6],[4]] => 011010 => 010110
[[1,3,4,7],[2,6],[5]] => 100100 => 001001
[[1,2,4,7],[3,6],[5]] => 010100 => 001010
[[1,2,3,7],[4,6],[5]] => 001100 => 001100
[[1,3,5,7],[2,4],[6]] => 101010 => 010101
[[1,2,5,7],[3,4],[6]] => 010010 => 010010
[[1,3,4,7],[2,5],[6]] => 100110 => 011001
[[1,2,4,7],[3,5],[6]] => 010110 => 011010
[[1,2,3,7],[4,5],[6]] => 001010 => 010100
[[1,4,5,6],[2,7],[3]] => 110001 => 100011
[[1,3,5,6],[2,7],[4]] => 101001 => 100101
[[1,2,5,6],[3,7],[4]] => 011001 => 100110
[[1,3,4,6],[2,7],[5]] => 100101 => 101001
[[1,2,4,6],[3,7],[5]] => 010101 => 101010
[[1,2,3,6],[4,7],[5]] => 001101 => 101100
[[1,3,4,5],[2,7],[6]] => 100010 => 010001
[[1,2,4,5],[3,7],[6]] => 010010 => 010010
[[1,2,3,5],[4,7],[6]] => 001010 => 010100
[[1,2,3,4],[5,7],[6]] => 000110 => 011000
[[1,3,5,6],[2,4],[7]] => 101001 => 100101
[[1,2,5,6],[3,4],[7]] => 010001 => 100010
[[1,3,4,6],[2,5],[7]] => 100101 => 101001
[[1,2,4,6],[3,5],[7]] => 010101 => 101010
[[1,2,3,6],[4,5],[7]] => 001001 => 100100
[[1,3,4,5],[2,6],[7]] => 100011 => 110001
[[1,2,4,5],[3,6],[7]] => 010011 => 110010
[[1,2,3,5],[4,6],[7]] => 001011 => 110100
[[1,2,3,4],[5,6],[7]] => 000101 => 101000
[[1,5,6,7],[2],[3],[4]] => 111000 => 000111
[[1,4,6,7],[2],[3],[5]] => 110100 => 001011
[[1,3,6,7],[2],[4],[5]] => 101100 => 001101
[[1,2,6,7],[3],[4],[5]] => 011100 => 001110
[[1,4,5,7],[2],[3],[6]] => 110010 => 010011
[[1,3,5,7],[2],[4],[6]] => 101010 => 010101
[[1,2,5,7],[3],[4],[6]] => 011010 => 010110
[[1,3,4,7],[2],[5],[6]] => 100110 => 011001
[[1,2,4,7],[3],[5],[6]] => 010110 => 011010
[[1,2,3,7],[4],[5],[6]] => 001110 => 011100
[[1,4,5,6],[2],[3],[7]] => 110001 => 100011
[[1,3,5,6],[2],[4],[7]] => 101001 => 100101
[[1,2,5,6],[3],[4],[7]] => 011001 => 100110
[[1,3,4,6],[2],[5],[7]] => 100101 => 101001
[[1,2,4,6],[3],[5],[7]] => 010101 => 101010
[[1,2,3,6],[4],[5],[7]] => 001101 => 101100
[[1,3,4,5],[2],[6],[7]] => 100011 => 110001
[[1,2,4,5],[3],[6],[7]] => 010011 => 110010
[[1,2,3,5],[4],[6],[7]] => 001011 => 110100
[[1,2,3,4],[5],[6],[7]] => 000111 => 111000
[[1,4,6],[2,5,7],[3]] => 110101 => 101011
[[1,3,6],[2,5,7],[4]] => 101001 => 100101
[[1,2,6],[3,5,7],[4]] => 011001 => 100110
[[1,3,6],[2,4,7],[5]] => 101101 => 101101
[[1,2,6],[3,4,7],[5]] => 010101 => 101010
[[1,4,5],[2,6,7],[3]] => 110010 => 010011
[[1,3,5],[2,6,7],[4]] => 101010 => 010101
[[1,2,5],[3,6,7],[4]] => 011010 => 010110
[[1,3,4],[2,6,7],[5]] => 100100 => 001001
[[1,2,4],[3,6,7],[5]] => 010100 => 001010
[[1,2,3],[4,6,7],[5]] => 001100 => 001100
[[1,3,5],[2,4,7],[6]] => 101010 => 010101
[[1,2,5],[3,4,7],[6]] => 010010 => 010010
[[1,3,4],[2,5,7],[6]] => 100110 => 011001
[[1,2,4],[3,5,7],[6]] => 010110 => 011010
[[1,2,3],[4,5,7],[6]] => 001010 => 010100
[[1,3,5],[2,4,6],[7]] => 101011 => 110101
[[1,2,5],[3,4,6],[7]] => 010011 => 110010
[[1,3,4],[2,5,6],[7]] => 100101 => 101001
[[1,2,4],[3,5,6],[7]] => 010101 => 101010
[[1,2,3],[4,5,6],[7]] => 001001 => 100100
[[1,4,7],[2,5],[3,6]] => 110110 => 011011
[[1,3,7],[2,5],[4,6]] => 101010 => 010101
[[1,2,7],[3,5],[4,6]] => 011010 => 010110
[[1,3,7],[2,4],[5,6]] => 101100 => 001101
[[1,2,7],[3,4],[5,6]] => 010100 => 001010
[[1,4,6],[2,5],[3,7]] => 110101 => 101011
[[1,3,6],[2,5],[4,7]] => 101001 => 100101
[[1,2,6],[3,5],[4,7]] => 011001 => 100110
[[1,3,6],[2,4],[5,7]] => 101101 => 101101
[[1,2,6],[3,4],[5,7]] => 010101 => 101010
[[1,4,5],[2,6],[3,7]] => 110011 => 110011
[[1,3,5],[2,6],[4,7]] => 101011 => 110101
[[1,2,5],[3,6],[4,7]] => 011011 => 110110
[[1,3,4],[2,6],[5,7]] => 100101 => 101001
[[1,2,4],[3,6],[5,7]] => 010101 => 101010
[[1,2,3],[4,6],[5,7]] => 001101 => 101100
[[1,3,5],[2,4],[6,7]] => 101010 => 010101
[[1,2,5],[3,4],[6,7]] => 010010 => 010010
[[1,3,4],[2,5],[6,7]] => 100110 => 011001
[[1,2,4],[3,5],[6,7]] => 010110 => 011010
[[1,2,3],[4,5],[6,7]] => 001010 => 010100
[[1,5,7],[2,6],[3],[4]] => 111010 => 010111
[[1,4,7],[2,6],[3],[5]] => 110100 => 001011
[[1,3,7],[2,6],[4],[5]] => 101100 => 001101
[[1,2,7],[3,6],[4],[5]] => 011100 => 001110
[[1,4,7],[2,5],[3],[6]] => 110110 => 011011
[[1,3,7],[2,5],[4],[6]] => 101010 => 010101
[[1,2,7],[3,5],[4],[6]] => 011010 => 010110
[[1,3,7],[2,4],[5],[6]] => 101110 => 011101
[[1,2,7],[3,4],[5],[6]] => 010110 => 011010
[[1,5,6],[2,7],[3],[4]] => 111001 => 100111
[[1,4,6],[2,7],[3],[5]] => 110101 => 101011
[[1,3,6],[2,7],[4],[5]] => 101101 => 101101
[[1,2,6],[3,7],[4],[5]] => 011101 => 101110
[[1,4,5],[2,7],[3],[6]] => 110010 => 010011
[[1,3,5],[2,7],[4],[6]] => 101010 => 010101
[[1,2,5],[3,7],[4],[6]] => 011010 => 010110
[[1,3,4],[2,7],[5],[6]] => 100110 => 011001
[[1,2,4],[3,7],[5],[6]] => 010110 => 011010
[[1,2,3],[4,7],[5],[6]] => 001110 => 011100
[[1,4,6],[2,5],[3],[7]] => 110101 => 101011
[[1,3,6],[2,5],[4],[7]] => 101001 => 100101
[[1,2,6],[3,5],[4],[7]] => 011001 => 100110
[[1,3,6],[2,4],[5],[7]] => 101101 => 101101
[[1,2,6],[3,4],[5],[7]] => 010101 => 101010
[[1,4,5],[2,6],[3],[7]] => 110011 => 110011
[[1,3,5],[2,6],[4],[7]] => 101011 => 110101
[[1,2,5],[3,6],[4],[7]] => 011011 => 110110
[[1,3,4],[2,6],[5],[7]] => 100101 => 101001
[[1,2,4],[3,6],[5],[7]] => 010101 => 101010
[[1,2,3],[4,6],[5],[7]] => 001101 => 101100
[[1,3,5],[2,4],[6],[7]] => 101011 => 110101
[[1,2,5],[3,4],[6],[7]] => 010011 => 110010
[[1,3,4],[2,5],[6],[7]] => 100111 => 111001
[[1,2,4],[3,5],[6],[7]] => 010111 => 111010
[[1,2,3],[4,5],[6],[7]] => 001011 => 110100
[[1,6,7],[2],[3],[4],[5]] => 111100 => 001111
[[1,5,7],[2],[3],[4],[6]] => 111010 => 010111
[[1,4,7],[2],[3],[5],[6]] => 110110 => 011011
[[1,3,7],[2],[4],[5],[6]] => 101110 => 011101
[[1,2,7],[3],[4],[5],[6]] => 011110 => 011110
[[1,5,6],[2],[3],[4],[7]] => 111001 => 100111
[[1,4,6],[2],[3],[5],[7]] => 110101 => 101011
[[1,3,6],[2],[4],[5],[7]] => 101101 => 101101
[[1,2,6],[3],[4],[5],[7]] => 011101 => 101110
[[1,4,5],[2],[3],[6],[7]] => 110011 => 110011
[[1,3,5],[2],[4],[6],[7]] => 101011 => 110101
[[1,2,5],[3],[4],[6],[7]] => 011011 => 110110
[[1,3,4],[2],[5],[6],[7]] => 100111 => 111001
[[1,2,4],[3],[5],[6],[7]] => 010111 => 111010
[[1,2,3],[4],[5],[6],[7]] => 001111 => 111100
[[1,5],[2,6],[3,7],[4]] => 111011 => 110111
[[1,4],[2,6],[3,7],[5]] => 110101 => 101011
[[1,3],[2,6],[4,7],[5]] => 101101 => 101101
[[1,2],[3,6],[4,7],[5]] => 011101 => 101110
[[1,4],[2,5],[3,7],[6]] => 110110 => 011011
[[1,3],[2,5],[4,7],[6]] => 101010 => 010101
[[1,2],[3,5],[4,7],[6]] => 011010 => 010110
[[1,3],[2,4],[5,7],[6]] => 101110 => 011101
[[1,2],[3,4],[5,7],[6]] => 010110 => 011010
[[1,4],[2,5],[3,6],[7]] => 110111 => 111011
[[1,3],[2,5],[4,6],[7]] => 101011 => 110101
[[1,2],[3,5],[4,6],[7]] => 011011 => 110110
[[1,3],[2,4],[5,6],[7]] => 101101 => 101101
[[1,2],[3,4],[5,6],[7]] => 010101 => 101010
[[1,6],[2,7],[3],[4],[5]] => 111101 => 101111
[[1,5],[2,7],[3],[4],[6]] => 111010 => 010111
[[1,4],[2,7],[3],[5],[6]] => 110110 => 011011
[[1,3],[2,7],[4],[5],[6]] => 101110 => 011101
[[1,2],[3,7],[4],[5],[6]] => 011110 => 011110
[[1,5],[2,6],[3],[4],[7]] => 111011 => 110111
[[1,4],[2,6],[3],[5],[7]] => 110101 => 101011
[[1,3],[2,6],[4],[5],[7]] => 101101 => 101101
[[1,2],[3,6],[4],[5],[7]] => 011101 => 101110
[[1,4],[2,5],[3],[6],[7]] => 110111 => 111011
[[1,3],[2,5],[4],[6],[7]] => 101011 => 110101
[[1,2],[3,5],[4],[6],[7]] => 011011 => 110110
[[1,3],[2,4],[5],[6],[7]] => 101111 => 111101
[[1,2],[3,4],[5],[6],[7]] => 010111 => 111010
[[1,7],[2],[3],[4],[5],[6]] => 111110 => 011111
[[1,6],[2],[3],[4],[5],[7]] => 111101 => 101111
[[1,5],[2],[3],[4],[6],[7]] => 111011 => 110111
[[1,4],[2],[3],[5],[6],[7]] => 110111 => 111011
[[1,3],[2],[4],[5],[6],[7]] => 101111 => 111101
[[1,2],[3],[4],[5],[6],[7]] => 011111 => 111110
[[1],[2],[3],[4],[5],[6],[7]] => 111111 => 111111
[[1,2,3,4,5,6,7,8]] => 0000000 => 0000000
[[1,3,4,5,6,7,8],[2]] => 1000000 => 0000001
[[1,2,4,5,6,7,8],[3]] => 0100000 => 0000010
[[1,2,3,5,6,7,8],[4]] => 0010000 => 0000100
[[1,2,3,4,6,7,8],[5]] => 0001000 => 0001000
[[1,2,3,4,5,7,8],[6]] => 0000100 => 0010000
[[1,2,3,4,5,6,8],[7]] => 0000010 => 0100000
[[1,2,3,4,5,6,7],[8]] => 0000001 => 1000000
[[1,3,5,6,7,8],[2,4]] => 1010000 => 0000101
[[1,2,5,6,7,8],[3,4]] => 0100000 => 0000010
[[1,3,4,6,7,8],[2,5]] => 1001000 => 0001001
[[1,2,4,6,7,8],[3,5]] => 0101000 => 0001010
[[1,2,3,6,7,8],[4,5]] => 0010000 => 0000100
[[1,3,4,5,7,8],[2,6]] => 1000100 => 0010001
[[1,2,4,5,7,8],[3,6]] => 0100100 => 0010010
[[1,2,3,5,7,8],[4,6]] => 0010100 => 0010100
[[1,2,3,4,7,8],[5,6]] => 0001000 => 0001000
[[1,3,4,5,6,8],[2,7]] => 1000010 => 0100001
[[1,2,4,5,6,8],[3,7]] => 0100010 => 0100010
[[1,2,3,5,6,8],[4,7]] => 0010010 => 0100100
[[1,2,3,4,6,8],[5,7]] => 0001010 => 0101000
[[1,2,3,4,5,8],[6,7]] => 0000100 => 0010000
[[1,3,4,5,6,7],[2,8]] => 1000001 => 1000001
[[1,2,4,5,6,7],[3,8]] => 0100001 => 1000010
[[1,2,3,5,6,7],[4,8]] => 0010001 => 1000100
[[1,2,3,4,6,7],[5,8]] => 0001001 => 1001000
[[1,2,3,4,5,7],[6,8]] => 0000101 => 1010000
[[1,2,3,4,5,6],[7,8]] => 0000010 => 0100000
[[1,4,5,6,7,8],[2],[3]] => 1100000 => 0000011
[[1,3,5,6,7,8],[2],[4]] => 1010000 => 0000101
[[1,2,5,6,7,8],[3],[4]] => 0110000 => 0000110
[[1,3,4,6,7,8],[2],[5]] => 1001000 => 0001001
[[1,2,4,6,7,8],[3],[5]] => 0101000 => 0001010
[[1,2,3,6,7,8],[4],[5]] => 0011000 => 0001100
[[1,3,4,5,7,8],[2],[6]] => 1000100 => 0010001
[[1,2,4,5,7,8],[3],[6]] => 0100100 => 0010010
[[1,2,3,5,7,8],[4],[6]] => 0010100 => 0010100
[[1,2,3,4,7,8],[5],[6]] => 0001100 => 0011000
[[1,3,4,5,6,8],[2],[7]] => 1000010 => 0100001
[[1,2,4,5,6,8],[3],[7]] => 0100010 => 0100010
[[1,2,3,5,6,8],[4],[7]] => 0010010 => 0100100
[[1,2,3,4,6,8],[5],[7]] => 0001010 => 0101000
[[1,2,3,4,5,8],[6],[7]] => 0000110 => 0110000
[[1,3,4,5,6,7],[2],[8]] => 1000001 => 1000001
[[1,2,4,5,6,7],[3],[8]] => 0100001 => 1000010
[[1,2,3,5,6,7],[4],[8]] => 0010001 => 1000100
[[1,2,3,4,6,7],[5],[8]] => 0001001 => 1001000
[[1,2,3,4,5,7],[6],[8]] => 0000101 => 1010000
[[1,2,3,4,5,6],[7],[8]] => 0000011 => 1100000
[[1,3,5,7,8],[2,4,6]] => 1010100 => 0010101
[[1,2,5,7,8],[3,4,6]] => 0100100 => 0010010
[[1,3,4,7,8],[2,5,6]] => 1001000 => 0001001
[[1,2,4,7,8],[3,5,6]] => 0101000 => 0001010
[[1,2,3,7,8],[4,5,6]] => 0010000 => 0000100
[[1,3,5,6,8],[2,4,7]] => 1010010 => 0100101
[[1,2,5,6,8],[3,4,7]] => 0100010 => 0100010
[[1,3,4,6,8],[2,5,7]] => 1001010 => 0101001
[[1,2,4,6,8],[3,5,7]] => 0101010 => 0101010
[[1,2,3,6,8],[4,5,7]] => 0010010 => 0100100
[[1,3,4,5,8],[2,6,7]] => 1000100 => 0010001
[[1,2,4,5,8],[3,6,7]] => 0100100 => 0010010
[[1,2,3,5,8],[4,6,7]] => 0010100 => 0010100
[[1,2,3,4,8],[5,6,7]] => 0001000 => 0001000
[[1,3,5,6,7],[2,4,8]] => 1010001 => 1000101
[[1,2,5,6,7],[3,4,8]] => 0100001 => 1000010
[[1,3,4,6,7],[2,5,8]] => 1001001 => 1001001
[[1,2,4,6,7],[3,5,8]] => 0101001 => 1001010
[[1,2,3,6,7],[4,5,8]] => 0010001 => 1000100
[[1,3,4,5,7],[2,6,8]] => 1000101 => 1010001
[[1,2,4,5,7],[3,6,8]] => 0100101 => 1010010
[[1,2,3,5,7],[4,6,8]] => 0010101 => 1010100
[[1,2,3,4,7],[5,6,8]] => 0001001 => 1001000
[[1,3,4,5,6],[2,7,8]] => 1000010 => 0100001
[[1,2,4,5,6],[3,7,8]] => 0100010 => 0100010
[[1,2,3,5,6],[4,7,8]] => 0010010 => 0100100
[[1,2,3,4,6],[5,7,8]] => 0001010 => 0101000
[[1,2,3,4,5],[6,7,8]] => 0000100 => 0010000
[[1,4,6,7,8],[2,5],[3]] => 1101000 => 0001011
[[1,3,6,7,8],[2,5],[4]] => 1010000 => 0000101
[[1,2,6,7,8],[3,5],[4]] => 0110000 => 0000110
[[1,3,6,7,8],[2,4],[5]] => 1011000 => 0001101
[[1,2,6,7,8],[3,4],[5]] => 0101000 => 0001010
[[1,4,5,7,8],[2,6],[3]] => 1100100 => 0010011
[[1,3,5,7,8],[2,6],[4]] => 1010100 => 0010101
[[1,2,5,7,8],[3,6],[4]] => 0110100 => 0010110
[[1,3,4,7,8],[2,6],[5]] => 1001000 => 0001001
[[1,2,4,7,8],[3,6],[5]] => 0101000 => 0001010
[[1,2,3,7,8],[4,6],[5]] => 0011000 => 0001100
[[1,3,5,7,8],[2,4],[6]] => 1010100 => 0010101
[[1,2,5,7,8],[3,4],[6]] => 0100100 => 0010010
[[1,3,4,7,8],[2,5],[6]] => 1001100 => 0011001
[[1,2,4,7,8],[3,5],[6]] => 0101100 => 0011010
[[1,2,3,7,8],[4,5],[6]] => 0010100 => 0010100
[[1,4,5,6,8],[2,7],[3]] => 1100010 => 0100011
[[1,3,5,6,8],[2,7],[4]] => 1010010 => 0100101
[[1,2,5,6,8],[3,7],[4]] => 0110010 => 0100110
[[1,3,4,6,8],[2,7],[5]] => 1001010 => 0101001
[[1,2,4,6,8],[3,7],[5]] => 0101010 => 0101010
[[1,2,3,6,8],[4,7],[5]] => 0011010 => 0101100
[[1,3,4,5,8],[2,7],[6]] => 1000100 => 0010001
[[1,2,4,5,8],[3,7],[6]] => 0100100 => 0010010
[[1,2,3,5,8],[4,7],[6]] => 0010100 => 0010100
[[1,2,3,4,8],[5,7],[6]] => 0001100 => 0011000
[[1,3,5,6,8],[2,4],[7]] => 1010010 => 0100101
[[1,2,5,6,8],[3,4],[7]] => 0100010 => 0100010
[[1,3,4,6,8],[2,5],[7]] => 1001010 => 0101001
[[1,2,4,6,8],[3,5],[7]] => 0101010 => 0101010
[[1,2,3,6,8],[4,5],[7]] => 0010010 => 0100100
[[1,3,4,5,8],[2,6],[7]] => 1000110 => 0110001
[[1,2,4,5,8],[3,6],[7]] => 0100110 => 0110010
[[1,2,3,5,8],[4,6],[7]] => 0010110 => 0110100
[[1,2,3,4,8],[5,6],[7]] => 0001010 => 0101000
[[1,4,5,6,7],[2,8],[3]] => 1100001 => 1000011
[[1,3,5,6,7],[2,8],[4]] => 1010001 => 1000101
[[1,2,5,6,7],[3,8],[4]] => 0110001 => 1000110
[[1,3,4,6,7],[2,8],[5]] => 1001001 => 1001001
[[1,2,4,6,7],[3,8],[5]] => 0101001 => 1001010
[[1,2,3,6,7],[4,8],[5]] => 0011001 => 1001100
[[1,3,4,5,7],[2,8],[6]] => 1000101 => 1010001
[[1,2,4,5,7],[3,8],[6]] => 0100101 => 1010010
[[1,2,3,5,7],[4,8],[6]] => 0010101 => 1010100
[[1,2,3,4,7],[5,8],[6]] => 0001101 => 1011000
[[1,3,4,5,6],[2,8],[7]] => 1000010 => 0100001
[[1,2,4,5,6],[3,8],[7]] => 0100010 => 0100010
[[1,2,3,5,6],[4,8],[7]] => 0010010 => 0100100
[[1,2,3,4,6],[5,8],[7]] => 0001010 => 0101000
[[1,2,3,4,5],[6,8],[7]] => 0000110 => 0110000
[[1,3,5,6,7],[2,4],[8]] => 1010001 => 1000101
[[1,2,5,6,7],[3,4],[8]] => 0100001 => 1000010
[[1,3,4,6,7],[2,5],[8]] => 1001001 => 1001001
[[1,2,4,6,7],[3,5],[8]] => 0101001 => 1001010
[[1,2,3,6,7],[4,5],[8]] => 0010001 => 1000100
[[1,3,4,5,7],[2,6],[8]] => 1000101 => 1010001
[[1,2,4,5,7],[3,6],[8]] => 0100101 => 1010010
[[1,2,3,5,7],[4,6],[8]] => 0010101 => 1010100
[[1,2,3,4,7],[5,6],[8]] => 0001001 => 1001000
[[1,3,4,5,6],[2,7],[8]] => 1000011 => 1100001
[[1,2,4,5,6],[3,7],[8]] => 0100011 => 1100010
[[1,2,3,5,6],[4,7],[8]] => 0010011 => 1100100
[[1,2,3,4,6],[5,7],[8]] => 0001011 => 1101000
[[1,2,3,4,5],[6,7],[8]] => 0000101 => 1010000
[[1,5,6,7,8],[2],[3],[4]] => 1110000 => 0000111
[[1,4,6,7,8],[2],[3],[5]] => 1101000 => 0001011
[[1,3,6,7,8],[2],[4],[5]] => 1011000 => 0001101
[[1,2,6,7,8],[3],[4],[5]] => 0111000 => 0001110
[[1,4,5,7,8],[2],[3],[6]] => 1100100 => 0010011
[[1,3,5,7,8],[2],[4],[6]] => 1010100 => 0010101
[[1,2,5,7,8],[3],[4],[6]] => 0110100 => 0010110
[[1,3,4,7,8],[2],[5],[6]] => 1001100 => 0011001
[[1,2,4,7,8],[3],[5],[6]] => 0101100 => 0011010
[[1,2,3,7,8],[4],[5],[6]] => 0011100 => 0011100
[[1,4,5,6,8],[2],[3],[7]] => 1100010 => 0100011
[[1,3,5,6,8],[2],[4],[7]] => 1010010 => 0100101
[[1,2,5,6,8],[3],[4],[7]] => 0110010 => 0100110
[[1,3,4,6,8],[2],[5],[7]] => 1001010 => 0101001
[[1,2,4,6,8],[3],[5],[7]] => 0101010 => 0101010
[[1,2,3,6,8],[4],[5],[7]] => 0011010 => 0101100
[[1,3,4,5,8],[2],[6],[7]] => 1000110 => 0110001
[[1,2,4,5,8],[3],[6],[7]] => 0100110 => 0110010
[[1,2,3,5,8],[4],[6],[7]] => 0010110 => 0110100
[[1,2,3,4,8],[5],[6],[7]] => 0001110 => 0111000
[[1,4,5,6,7],[2],[3],[8]] => 1100001 => 1000011
[[1,3,5,6,7],[2],[4],[8]] => 1010001 => 1000101
[[1,2,5,6,7],[3],[4],[8]] => 0110001 => 1000110
[[1,3,4,6,7],[2],[5],[8]] => 1001001 => 1001001
[[1,2,4,6,7],[3],[5],[8]] => 0101001 => 1001010
[[1,2,3,6,7],[4],[5],[8]] => 0011001 => 1001100
[[1,3,4,5,7],[2],[6],[8]] => 1000101 => 1010001
[[1,2,4,5,7],[3],[6],[8]] => 0100101 => 1010010
[[1,2,3,5,7],[4],[6],[8]] => 0010101 => 1010100
[[1,2,3,4,7],[5],[6],[8]] => 0001101 => 1011000
[[1,3,4,5,6],[2],[7],[8]] => 1000011 => 1100001
[[1,2,4,5,6],[3],[7],[8]] => 0100011 => 1100010
[[1,2,3,5,6],[4],[7],[8]] => 0010011 => 1100100
[[1,2,3,4,6],[5],[7],[8]] => 0001011 => 1101000
[[1,2,3,4,5],[6],[7],[8]] => 0000111 => 1110000
[[1,3,5,7],[2,4,6,8]] => 1010101 => 1010101
[[1,2,5,7],[3,4,6,8]] => 0100101 => 1010010
[[1,3,4,7],[2,5,6,8]] => 1001001 => 1001001
[[1,2,4,7],[3,5,6,8]] => 0101001 => 1001010
[[1,2,3,7],[4,5,6,8]] => 0010001 => 1000100
[[1,3,5,6],[2,4,7,8]] => 1010010 => 0100101
[[1,2,5,6],[3,4,7,8]] => 0100010 => 0100010
[[1,3,4,6],[2,5,7,8]] => 1001010 => 0101001
[[1,2,4,6],[3,5,7,8]] => 0101010 => 0101010
[[1,2,3,6],[4,5,7,8]] => 0010010 => 0100100
[[1,3,4,5],[2,6,7,8]] => 1000100 => 0010001
[[1,2,4,5],[3,6,7,8]] => 0100100 => 0010010
[[1,2,3,5],[4,6,7,8]] => 0010100 => 0010100
[[1,2,3,4],[5,6,7,8]] => 0001000 => 0001000
[[1,4,6,8],[2,5,7],[3]] => 1101010 => 0101011
[[1,3,6,8],[2,5,7],[4]] => 1010010 => 0100101
[[1,2,6,8],[3,5,7],[4]] => 0110010 => 0100110
[[1,3,6,8],[2,4,7],[5]] => 1011010 => 0101101
[[1,2,6,8],[3,4,7],[5]] => 0101010 => 0101010
[[1,4,5,8],[2,6,7],[3]] => 1100100 => 0010011
[[1,3,5,8],[2,6,7],[4]] => 1010100 => 0010101
[[1,2,5,8],[3,6,7],[4]] => 0110100 => 0010110
[[1,3,4,8],[2,6,7],[5]] => 1001000 => 0001001
[[1,2,4,8],[3,6,7],[5]] => 0101000 => 0001010
[[1,2,3,8],[4,6,7],[5]] => 0011000 => 0001100
[[1,3,5,8],[2,4,7],[6]] => 1010100 => 0010101
[[1,2,5,8],[3,4,7],[6]] => 0100100 => 0010010
[[1,3,4,8],[2,5,7],[6]] => 1001100 => 0011001
[[1,2,4,8],[3,5,7],[6]] => 0101100 => 0011010
[[1,2,3,8],[4,5,7],[6]] => 0010100 => 0010100
[[1,3,5,8],[2,4,6],[7]] => 1010110 => 0110101
[[1,2,5,8],[3,4,6],[7]] => 0100110 => 0110010
[[1,3,4,8],[2,5,6],[7]] => 1001010 => 0101001
[[1,2,4,8],[3,5,6],[7]] => 0101010 => 0101010
[[1,2,3,8],[4,5,6],[7]] => 0010010 => 0100100
[[1,4,6,7],[2,5,8],[3]] => 1101001 => 1001011
[[1,3,6,7],[2,5,8],[4]] => 1010001 => 1000101
[[1,2,6,7],[3,5,8],[4]] => 0110001 => 1000110
[[1,3,6,7],[2,4,8],[5]] => 1011001 => 1001101
[[1,2,6,7],[3,4,8],[5]] => 0101001 => 1001010
[[1,4,5,7],[2,6,8],[3]] => 1100101 => 1010011
[[1,3,5,7],[2,6,8],[4]] => 1010101 => 1010101
[[1,2,5,7],[3,6,8],[4]] => 0110101 => 1010110
[[1,3,4,7],[2,6,8],[5]] => 1001001 => 1001001
[[1,2,4,7],[3,6,8],[5]] => 0101001 => 1001010
[[1,2,3,7],[4,6,8],[5]] => 0011001 => 1001100
[[1,3,5,7],[2,4,8],[6]] => 1010101 => 1010101
[[1,2,5,7],[3,4,8],[6]] => 0100101 => 1010010
[[1,3,4,7],[2,5,8],[6]] => 1001101 => 1011001
[[1,2,4,7],[3,5,8],[6]] => 0101101 => 1011010
[[1,2,3,7],[4,5,8],[6]] => 0010101 => 1010100
[[1,4,5,6],[2,7,8],[3]] => 1100010 => 0100011
[[1,3,5,6],[2,7,8],[4]] => 1010010 => 0100101
[[1,2,5,6],[3,7,8],[4]] => 0110010 => 0100110
[[1,3,4,6],[2,7,8],[5]] => 1001010 => 0101001
[[1,2,4,6],[3,7,8],[5]] => 0101010 => 0101010
[[1,2,3,6],[4,7,8],[5]] => 0011010 => 0101100
[[1,3,4,5],[2,7,8],[6]] => 1000100 => 0010001
[[1,2,4,5],[3,7,8],[6]] => 0100100 => 0010010
[[1,2,3,5],[4,7,8],[6]] => 0010100 => 0010100
[[1,2,3,4],[5,7,8],[6]] => 0001100 => 0011000
[[1,3,5,6],[2,4,8],[7]] => 1010010 => 0100101
[[1,2,5,6],[3,4,8],[7]] => 0100010 => 0100010
[[1,3,4,6],[2,5,8],[7]] => 1001010 => 0101001
[[1,2,4,6],[3,5,8],[7]] => 0101010 => 0101010
[[1,2,3,6],[4,5,8],[7]] => 0010010 => 0100100
[[1,3,4,5],[2,6,8],[7]] => 1000110 => 0110001
[[1,2,4,5],[3,6,8],[7]] => 0100110 => 0110010
[[1,2,3,5],[4,6,8],[7]] => 0010110 => 0110100
[[1,2,3,4],[5,6,8],[7]] => 0001010 => 0101000
[[1,3,5,7],[2,4,6],[8]] => 1010101 => 1010101
[[1,2,5,7],[3,4,6],[8]] => 0100101 => 1010010
[[1,3,4,7],[2,5,6],[8]] => 1001001 => 1001001
[[1,2,4,7],[3,5,6],[8]] => 0101001 => 1001010
[[1,2,3,7],[4,5,6],[8]] => 0010001 => 1000100
[[1,3,5,6],[2,4,7],[8]] => 1010011 => 1100101
[[1,2,5,6],[3,4,7],[8]] => 0100011 => 1100010
[[1,3,4,6],[2,5,7],[8]] => 1001011 => 1101001
[[1,2,4,6],[3,5,7],[8]] => 0101011 => 1101010
[[1,2,3,6],[4,5,7],[8]] => 0010011 => 1100100
[[1,3,4,5],[2,6,7],[8]] => 1000101 => 1010001
[[1,2,4,5],[3,6,7],[8]] => 0100101 => 1010010
[[1,2,3,5],[4,6,7],[8]] => 0010101 => 1010100
[[1,2,3,4],[5,6,7],[8]] => 0001001 => 1001000
[[1,4,7,8],[2,5],[3,6]] => 1101100 => 0011011
[[1,3,7,8],[2,5],[4,6]] => 1010100 => 0010101
[[1,2,7,8],[3,5],[4,6]] => 0110100 => 0010110
[[1,3,7,8],[2,4],[5,6]] => 1011000 => 0001101
[[1,2,7,8],[3,4],[5,6]] => 0101000 => 0001010
[[1,4,6,8],[2,5],[3,7]] => 1101010 => 0101011
[[1,3,6,8],[2,5],[4,7]] => 1010010 => 0100101
[[1,2,6,8],[3,5],[4,7]] => 0110010 => 0100110
[[1,3,6,8],[2,4],[5,7]] => 1011010 => 0101101
[[1,2,6,8],[3,4],[5,7]] => 0101010 => 0101010
[[1,4,5,8],[2,6],[3,7]] => 1100110 => 0110011
[[1,3,5,8],[2,6],[4,7]] => 1010110 => 0110101
[[1,2,5,8],[3,6],[4,7]] => 0110110 => 0110110
[[1,3,4,8],[2,6],[5,7]] => 1001010 => 0101001
[[1,2,4,8],[3,6],[5,7]] => 0101010 => 0101010
[[1,2,3,8],[4,6],[5,7]] => 0011010 => 0101100
[[1,3,5,8],[2,4],[6,7]] => 1010100 => 0010101
[[1,2,5,8],[3,4],[6,7]] => 0100100 => 0010010
[[1,3,4,8],[2,5],[6,7]] => 1001100 => 0011001
[[1,2,4,8],[3,5],[6,7]] => 0101100 => 0011010
[[1,2,3,8],[4,5],[6,7]] => 0010100 => 0010100
[[1,4,6,7],[2,5],[3,8]] => 1101001 => 1001011
[[1,3,6,7],[2,5],[4,8]] => 1010001 => 1000101
[[1,2,6,7],[3,5],[4,8]] => 0110001 => 1000110
[[1,3,6,7],[2,4],[5,8]] => 1011001 => 1001101
[[1,2,6,7],[3,4],[5,8]] => 0101001 => 1001010
[[1,4,5,7],[2,6],[3,8]] => 1100101 => 1010011
[[1,3,5,7],[2,6],[4,8]] => 1010101 => 1010101
[[1,2,5,7],[3,6],[4,8]] => 0110101 => 1010110
[[1,3,4,7],[2,6],[5,8]] => 1001001 => 1001001
[[1,2,4,7],[3,6],[5,8]] => 0101001 => 1001010
[[1,2,3,7],[4,6],[5,8]] => 0011001 => 1001100
[[1,3,5,7],[2,4],[6,8]] => 1010101 => 1010101
[[1,2,5,7],[3,4],[6,8]] => 0100101 => 1010010
[[1,3,4,7],[2,5],[6,8]] => 1001101 => 1011001
[[1,2,4,7],[3,5],[6,8]] => 0101101 => 1011010
[[1,2,3,7],[4,5],[6,8]] => 0010101 => 1010100
[[1,4,5,6],[2,7],[3,8]] => 1100011 => 1100011
[[1,3,5,6],[2,7],[4,8]] => 1010011 => 1100101
[[1,2,5,6],[3,7],[4,8]] => 0110011 => 1100110
[[1,3,4,6],[2,7],[5,8]] => 1001011 => 1101001
[[1,2,4,6],[3,7],[5,8]] => 0101011 => 1101010
[[1,2,3,6],[4,7],[5,8]] => 0011011 => 1101100
[[1,3,4,5],[2,7],[6,8]] => 1000101 => 1010001
[[1,2,4,5],[3,7],[6,8]] => 0100101 => 1010010
[[1,2,3,5],[4,7],[6,8]] => 0010101 => 1010100
[[1,2,3,4],[5,7],[6,8]] => 0001101 => 1011000
[[1,3,5,6],[2,4],[7,8]] => 1010010 => 0100101
[[1,2,5,6],[3,4],[7,8]] => 0100010 => 0100010
[[1,3,4,6],[2,5],[7,8]] => 1001010 => 0101001
[[1,2,4,6],[3,5],[7,8]] => 0101010 => 0101010
[[1,2,3,6],[4,5],[7,8]] => 0010010 => 0100100
[[1,3,4,5],[2,6],[7,8]] => 1000110 => 0110001
[[1,2,4,5],[3,6],[7,8]] => 0100110 => 0110010
[[1,2,3,5],[4,6],[7,8]] => 0010110 => 0110100
[[1,2,3,4],[5,6],[7,8]] => 0001010 => 0101000
[[1,5,7,8],[2,6],[3],[4]] => 1110100 => 0010111
[[1,4,7,8],[2,6],[3],[5]] => 1101000 => 0001011
[[1,3,7,8],[2,6],[4],[5]] => 1011000 => 0001101
[[1,2,7,8],[3,6],[4],[5]] => 0111000 => 0001110
[[1,4,7,8],[2,5],[3],[6]] => 1101100 => 0011011
[[1,3,7,8],[2,5],[4],[6]] => 1010100 => 0010101
[[1,2,7,8],[3,5],[4],[6]] => 0110100 => 0010110
[[1,3,7,8],[2,4],[5],[6]] => 1011100 => 0011101
[[1,2,7,8],[3,4],[5],[6]] => 0101100 => 0011010
[[1,5,6,8],[2,7],[3],[4]] => 1110010 => 0100111
[[1,4,6,8],[2,7],[3],[5]] => 1101010 => 0101011
[[1,3,6,8],[2,7],[4],[5]] => 1011010 => 0101101
[[1,2,6,8],[3,7],[4],[5]] => 0111010 => 0101110
[[1,4,5,8],[2,7],[3],[6]] => 1100100 => 0010011
[[1,3,5,8],[2,7],[4],[6]] => 1010100 => 0010101
[[1,2,5,8],[3,7],[4],[6]] => 0110100 => 0010110
[[1,3,4,8],[2,7],[5],[6]] => 1001100 => 0011001
[[1,2,4,8],[3,7],[5],[6]] => 0101100 => 0011010
[[1,2,3,8],[4,7],[5],[6]] => 0011100 => 0011100
[[1,4,6,8],[2,5],[3],[7]] => 1101010 => 0101011
[[1,3,6,8],[2,5],[4],[7]] => 1010010 => 0100101
[[1,2,6,8],[3,5],[4],[7]] => 0110010 => 0100110
[[1,3,6,8],[2,4],[5],[7]] => 1011010 => 0101101
[[1,2,6,8],[3,4],[5],[7]] => 0101010 => 0101010
[[1,4,5,8],[2,6],[3],[7]] => 1100110 => 0110011
[[1,3,5,8],[2,6],[4],[7]] => 1010110 => 0110101
[[1,2,5,8],[3,6],[4],[7]] => 0110110 => 0110110
[[1,3,4,8],[2,6],[5],[7]] => 1001010 => 0101001
[[1,2,4,8],[3,6],[5],[7]] => 0101010 => 0101010
[[1,2,3,8],[4,6],[5],[7]] => 0011010 => 0101100
[[1,3,5,8],[2,4],[6],[7]] => 1010110 => 0110101
[[1,2,5,8],[3,4],[6],[7]] => 0100110 => 0110010
[[1,3,4,8],[2,5],[6],[7]] => 1001110 => 0111001
[[1,2,4,8],[3,5],[6],[7]] => 0101110 => 0111010
[[1,2,3,8],[4,5],[6],[7]] => 0010110 => 0110100
[[1,5,6,7],[2,8],[3],[4]] => 1110001 => 1000111
[[1,4,6,7],[2,8],[3],[5]] => 1101001 => 1001011
[[1,3,6,7],[2,8],[4],[5]] => 1011001 => 1001101
[[1,2,6,7],[3,8],[4],[5]] => 0111001 => 1001110
[[1,4,5,7],[2,8],[3],[6]] => 1100101 => 1010011
[[1,3,5,7],[2,8],[4],[6]] => 1010101 => 1010101
[[1,2,5,7],[3,8],[4],[6]] => 0110101 => 1010110
[[1,3,4,7],[2,8],[5],[6]] => 1001101 => 1011001
[[1,2,4,7],[3,8],[5],[6]] => 0101101 => 1011010
[[1,2,3,7],[4,8],[5],[6]] => 0011101 => 1011100
[[1,4,5,6],[2,8],[3],[7]] => 1100010 => 0100011
[[1,3,5,6],[2,8],[4],[7]] => 1010010 => 0100101
[[1,2,5,6],[3,8],[4],[7]] => 0110010 => 0100110
[[1,3,4,6],[2,8],[5],[7]] => 1001010 => 0101001
[[1,2,4,6],[3,8],[5],[7]] => 0101010 => 0101010
[[1,2,3,6],[4,8],[5],[7]] => 0011010 => 0101100
[[1,3,4,5],[2,8],[6],[7]] => 1000110 => 0110001
[[1,2,4,5],[3,8],[6],[7]] => 0100110 => 0110010
[[1,2,3,5],[4,8],[6],[7]] => 0010110 => 0110100
[[1,2,3,4],[5,8],[6],[7]] => 0001110 => 0111000
[[1,4,6,7],[2,5],[3],[8]] => 1101001 => 1001011
[[1,3,6,7],[2,5],[4],[8]] => 1010001 => 1000101
[[1,2,6,7],[3,5],[4],[8]] => 0110001 => 1000110
[[1,3,6,7],[2,4],[5],[8]] => 1011001 => 1001101
[[1,2,6,7],[3,4],[5],[8]] => 0101001 => 1001010
[[1,4,5,7],[2,6],[3],[8]] => 1100101 => 1010011
[[1,3,5,7],[2,6],[4],[8]] => 1010101 => 1010101
[[1,2,5,7],[3,6],[4],[8]] => 0110101 => 1010110
[[1,3,4,7],[2,6],[5],[8]] => 1001001 => 1001001
[[1,2,4,7],[3,6],[5],[8]] => 0101001 => 1001010
[[1,2,3,7],[4,6],[5],[8]] => 0011001 => 1001100
[[1,3,5,7],[2,4],[6],[8]] => 1010101 => 1010101
[[1,2,5,7],[3,4],[6],[8]] => 0100101 => 1010010
[[1,3,4,7],[2,5],[6],[8]] => 1001101 => 1011001
[[1,2,4,7],[3,5],[6],[8]] => 0101101 => 1011010
[[1,2,3,7],[4,5],[6],[8]] => 0010101 => 1010100
[[1,4,5,6],[2,7],[3],[8]] => 1100011 => 1100011
[[1,3,5,6],[2,7],[4],[8]] => 1010011 => 1100101
[[1,2,5,6],[3,7],[4],[8]] => 0110011 => 1100110
[[1,3,4,6],[2,7],[5],[8]] => 1001011 => 1101001
[[1,2,4,6],[3,7],[5],[8]] => 0101011 => 1101010
[[1,2,3,6],[4,7],[5],[8]] => 0011011 => 1101100
[[1,3,4,5],[2,7],[6],[8]] => 1000101 => 1010001
[[1,2,4,5],[3,7],[6],[8]] => 0100101 => 1010010
[[1,2,3,5],[4,7],[6],[8]] => 0010101 => 1010100
[[1,2,3,4],[5,7],[6],[8]] => 0001101 => 1011000
[[1,3,5,6],[2,4],[7],[8]] => 1010011 => 1100101
[[1,2,5,6],[3,4],[7],[8]] => 0100011 => 1100010
[[1,3,4,6],[2,5],[7],[8]] => 1001011 => 1101001
[[1,2,4,6],[3,5],[7],[8]] => 0101011 => 1101010
[[1,2,3,6],[4,5],[7],[8]] => 0010011 => 1100100
[[1,3,4,5],[2,6],[7],[8]] => 1000111 => 1110001
[[1,2,4,5],[3,6],[7],[8]] => 0100111 => 1110010
[[1,2,3,5],[4,6],[7],[8]] => 0010111 => 1110100
[[1,2,3,4],[5,6],[7],[8]] => 0001011 => 1101000
[[1,6,7,8],[2],[3],[4],[5]] => 1111000 => 0001111
[[1,5,7,8],[2],[3],[4],[6]] => 1110100 => 0010111
[[1,4,7,8],[2],[3],[5],[6]] => 1101100 => 0011011
[[1,3,7,8],[2],[4],[5],[6]] => 1011100 => 0011101
[[1,2,7,8],[3],[4],[5],[6]] => 0111100 => 0011110
[[1,5,6,8],[2],[3],[4],[7]] => 1110010 => 0100111
[[1,4,6,8],[2],[3],[5],[7]] => 1101010 => 0101011
[[1,3,6,8],[2],[4],[5],[7]] => 1011010 => 0101101
[[1,2,6,8],[3],[4],[5],[7]] => 0111010 => 0101110
[[1,4,5,8],[2],[3],[6],[7]] => 1100110 => 0110011
[[1,3,5,8],[2],[4],[6],[7]] => 1010110 => 0110101
[[1,2,5,8],[3],[4],[6],[7]] => 0110110 => 0110110
[[1,3,4,8],[2],[5],[6],[7]] => 1001110 => 0111001
[[1,2,4,8],[3],[5],[6],[7]] => 0101110 => 0111010
[[1,2,3,8],[4],[5],[6],[7]] => 0011110 => 0111100
[[1,5,6,7],[2],[3],[4],[8]] => 1110001 => 1000111
[[1,4,6,7],[2],[3],[5],[8]] => 1101001 => 1001011
[[1,3,6,7],[2],[4],[5],[8]] => 1011001 => 1001101
[[1,2,6,7],[3],[4],[5],[8]] => 0111001 => 1001110
[[1,4,5,7],[2],[3],[6],[8]] => 1100101 => 1010011
[[1,3,5,7],[2],[4],[6],[8]] => 1010101 => 1010101
[[1,2,5,7],[3],[4],[6],[8]] => 0110101 => 1010110
[[1,3,4,7],[2],[5],[6],[8]] => 1001101 => 1011001
[[1,2,4,7],[3],[5],[6],[8]] => 0101101 => 1011010
[[1,2,3,7],[4],[5],[6],[8]] => 0011101 => 1011100
[[1,4,5,6],[2],[3],[7],[8]] => 1100011 => 1100011
[[1,3,5,6],[2],[4],[7],[8]] => 1010011 => 1100101
[[1,2,5,6],[3],[4],[7],[8]] => 0110011 => 1100110
[[1,3,4,6],[2],[5],[7],[8]] => 1001011 => 1101001
[[1,2,4,6],[3],[5],[7],[8]] => 0101011 => 1101010
[[1,2,3,6],[4],[5],[7],[8]] => 0011011 => 1101100
[[1,3,4,5],[2],[6],[7],[8]] => 1000111 => 1110001
[[1,2,4,5],[3],[6],[7],[8]] => 0100111 => 1110010
[[1,2,3,5],[4],[6],[7],[8]] => 0010111 => 1110100
[[1,2,3,4],[5],[6],[7],[8]] => 0001111 => 1111000
[[1,4,7],[2,5,8],[3,6]] => 1101101 => 1011011
[[1,3,7],[2,5,8],[4,6]] => 1010101 => 1010101
[[1,2,7],[3,5,8],[4,6]] => 0110101 => 1010110
[[1,3,7],[2,4,8],[5,6]] => 1011001 => 1001101
[[1,2,7],[3,4,8],[5,6]] => 0101001 => 1001010
[[1,4,6],[2,5,8],[3,7]] => 1101010 => 0101011
[[1,3,6],[2,5,8],[4,7]] => 1010010 => 0100101
[[1,2,6],[3,5,8],[4,7]] => 0110010 => 0100110
[[1,3,6],[2,4,8],[5,7]] => 1011010 => 0101101
[[1,2,6],[3,4,8],[5,7]] => 0101010 => 0101010
[[1,4,5],[2,6,8],[3,7]] => 1100110 => 0110011
[[1,3,5],[2,6,8],[4,7]] => 1010110 => 0110101
[[1,2,5],[3,6,8],[4,7]] => 0110110 => 0110110
[[1,3,4],[2,6,8],[5,7]] => 1001010 => 0101001
[[1,2,4],[3,6,8],[5,7]] => 0101010 => 0101010
[[1,2,3],[4,6,8],[5,7]] => 0011010 => 0101100
[[1,3,5],[2,4,8],[6,7]] => 1010100 => 0010101
[[1,2,5],[3,4,8],[6,7]] => 0100100 => 0010010
[[1,3,4],[2,5,8],[6,7]] => 1001100 => 0011001
[[1,2,4],[3,5,8],[6,7]] => 0101100 => 0011010
[[1,2,3],[4,5,8],[6,7]] => 0010100 => 0010100
[[1,4,6],[2,5,7],[3,8]] => 1101011 => 1101011
[[1,3,6],[2,5,7],[4,8]] => 1010011 => 1100101
[[1,2,6],[3,5,7],[4,8]] => 0110011 => 1100110
[[1,3,6],[2,4,7],[5,8]] => 1011011 => 1101101
[[1,2,6],[3,4,7],[5,8]] => 0101011 => 1101010
[[1,4,5],[2,6,7],[3,8]] => 1100101 => 1010011
[[1,3,5],[2,6,7],[4,8]] => 1010101 => 1010101
[[1,2,5],[3,6,7],[4,8]] => 0110101 => 1010110
[[1,3,4],[2,6,7],[5,8]] => 1001001 => 1001001
[[1,2,4],[3,6,7],[5,8]] => 0101001 => 1001010
[[1,2,3],[4,6,7],[5,8]] => 0011001 => 1001100
[[1,3,5],[2,4,7],[6,8]] => 1010101 => 1010101
[[1,2,5],[3,4,7],[6,8]] => 0100101 => 1010010
[[1,3,4],[2,5,7],[6,8]] => 1001101 => 1011001
[[1,2,4],[3,5,7],[6,8]] => 0101101 => 1011010
[[1,2,3],[4,5,7],[6,8]] => 0010101 => 1010100
[[1,3,5],[2,4,6],[7,8]] => 1010110 => 0110101
[[1,2,5],[3,4,6],[7,8]] => 0100110 => 0110010
[[1,3,4],[2,5,6],[7,8]] => 1001010 => 0101001
[[1,2,4],[3,5,6],[7,8]] => 0101010 => 0101010
[[1,2,3],[4,5,6],[7,8]] => 0010010 => 0100100
[[1,5,7],[2,6,8],[3],[4]] => 1110101 => 1010111
[[1,4,7],[2,6,8],[3],[5]] => 1101001 => 1001011
[[1,3,7],[2,6,8],[4],[5]] => 1011001 => 1001101
[[1,2,7],[3,6,8],[4],[5]] => 0111001 => 1001110
[[1,4,7],[2,5,8],[3],[6]] => 1101101 => 1011011
[[1,3,7],[2,5,8],[4],[6]] => 1010101 => 1010101
[[1,2,7],[3,5,8],[4],[6]] => 0110101 => 1010110
[[1,3,7],[2,4,8],[5],[6]] => 1011101 => 1011101
[[1,2,7],[3,4,8],[5],[6]] => 0101101 => 1011010
[[1,5,6],[2,7,8],[3],[4]] => 1110010 => 0100111
[[1,4,6],[2,7,8],[3],[5]] => 1101010 => 0101011
[[1,3,6],[2,7,8],[4],[5]] => 1011010 => 0101101
[[1,2,6],[3,7,8],[4],[5]] => 0111010 => 0101110
[[1,4,5],[2,7,8],[3],[6]] => 1100100 => 0010011
[[1,3,5],[2,7,8],[4],[6]] => 1010100 => 0010101
[[1,2,5],[3,7,8],[4],[6]] => 0110100 => 0010110
[[1,3,4],[2,7,8],[5],[6]] => 1001100 => 0011001
[[1,2,4],[3,7,8],[5],[6]] => 0101100 => 0011010
[[1,2,3],[4,7,8],[5],[6]] => 0011100 => 0011100
[[1,4,6],[2,5,8],[3],[7]] => 1101010 => 0101011
[[1,3,6],[2,5,8],[4],[7]] => 1010010 => 0100101
[[1,2,6],[3,5,8],[4],[7]] => 0110010 => 0100110
[[1,3,6],[2,4,8],[5],[7]] => 1011010 => 0101101
[[1,2,6],[3,4,8],[5],[7]] => 0101010 => 0101010
[[1,4,5],[2,6,8],[3],[7]] => 1100110 => 0110011
[[1,3,5],[2,6,8],[4],[7]] => 1010110 => 0110101
[[1,2,5],[3,6,8],[4],[7]] => 0110110 => 0110110
[[1,3,4],[2,6,8],[5],[7]] => 1001010 => 0101001
[[1,2,4],[3,6,8],[5],[7]] => 0101010 => 0101010
[[1,2,3],[4,6,8],[5],[7]] => 0011010 => 0101100
[[1,3,5],[2,4,8],[6],[7]] => 1010110 => 0110101
[[1,2,5],[3,4,8],[6],[7]] => 0100110 => 0110010
[[1,3,4],[2,5,8],[6],[7]] => 1001110 => 0111001
[[1,2,4],[3,5,8],[6],[7]] => 0101110 => 0111010
[[1,2,3],[4,5,8],[6],[7]] => 0010110 => 0110100
[[1,4,6],[2,5,7],[3],[8]] => 1101011 => 1101011
[[1,3,6],[2,5,7],[4],[8]] => 1010011 => 1100101
[[1,2,6],[3,5,7],[4],[8]] => 0110011 => 1100110
[[1,3,6],[2,4,7],[5],[8]] => 1011011 => 1101101
[[1,2,6],[3,4,7],[5],[8]] => 0101011 => 1101010
[[1,4,5],[2,6,7],[3],[8]] => 1100101 => 1010011
[[1,3,5],[2,6,7],[4],[8]] => 1010101 => 1010101
[[1,2,5],[3,6,7],[4],[8]] => 0110101 => 1010110
[[1,3,4],[2,6,7],[5],[8]] => 1001001 => 1001001
[[1,2,4],[3,6,7],[5],[8]] => 0101001 => 1001010
[[1,2,3],[4,6,7],[5],[8]] => 0011001 => 1001100
[[1,3,5],[2,4,7],[6],[8]] => 1010101 => 1010101
[[1,2,5],[3,4,7],[6],[8]] => 0100101 => 1010010
[[1,3,4],[2,5,7],[6],[8]] => 1001101 => 1011001
[[1,2,4],[3,5,7],[6],[8]] => 0101101 => 1011010
[[1,2,3],[4,5,7],[6],[8]] => 0010101 => 1010100
[[1,3,5],[2,4,6],[7],[8]] => 1010111 => 1110101
[[1,2,5],[3,4,6],[7],[8]] => 0100111 => 1110010
[[1,3,4],[2,5,6],[7],[8]] => 1001011 => 1101001
[[1,2,4],[3,5,6],[7],[8]] => 0101011 => 1101010
[[1,2,3],[4,5,6],[7],[8]] => 0010011 => 1100100
[[1,5,8],[2,6],[3,7],[4]] => 1110110 => 0110111
[[1,4,8],[2,6],[3,7],[5]] => 1101010 => 0101011
[[1,3,8],[2,6],[4,7],[5]] => 1011010 => 0101101
[[1,2,8],[3,6],[4,7],[5]] => 0111010 => 0101110
[[1,4,8],[2,5],[3,7],[6]] => 1101100 => 0011011
[[1,3,8],[2,5],[4,7],[6]] => 1010100 => 0010101
[[1,2,8],[3,5],[4,7],[6]] => 0110100 => 0010110
[[1,3,8],[2,4],[5,7],[6]] => 1011100 => 0011101
[[1,2,8],[3,4],[5,7],[6]] => 0101100 => 0011010
[[1,4,8],[2,5],[3,6],[7]] => 1101110 => 0111011
[[1,3,8],[2,5],[4,6],[7]] => 1010110 => 0110101
[[1,2,8],[3,5],[4,6],[7]] => 0110110 => 0110110
[[1,3,8],[2,4],[5,6],[7]] => 1011010 => 0101101
[[1,2,8],[3,4],[5,6],[7]] => 0101010 => 0101010
[[1,5,7],[2,6],[3,8],[4]] => 1110101 => 1010111
[[1,4,7],[2,6],[3,8],[5]] => 1101001 => 1001011
[[1,3,7],[2,6],[4,8],[5]] => 1011001 => 1001101
[[1,2,7],[3,6],[4,8],[5]] => 0111001 => 1001110
[[1,4,7],[2,5],[3,8],[6]] => 1101101 => 1011011
[[1,3,7],[2,5],[4,8],[6]] => 1010101 => 1010101
[[1,2,7],[3,5],[4,8],[6]] => 0110101 => 1010110
[[1,3,7],[2,4],[5,8],[6]] => 1011101 => 1011101
[[1,2,7],[3,4],[5,8],[6]] => 0101101 => 1011010
[[1,5,6],[2,7],[3,8],[4]] => 1110011 => 1100111
[[1,4,6],[2,7],[3,8],[5]] => 1101011 => 1101011
[[1,3,6],[2,7],[4,8],[5]] => 1011011 => 1101101
[[1,2,6],[3,7],[4,8],[5]] => 0111011 => 1101110
[[1,4,5],[2,7],[3,8],[6]] => 1100101 => 1010011
[[1,3,5],[2,7],[4,8],[6]] => 1010101 => 1010101
[[1,2,5],[3,7],[4,8],[6]] => 0110101 => 1010110
[[1,3,4],[2,7],[5,8],[6]] => 1001101 => 1011001
[[1,2,4],[3,7],[5,8],[6]] => 0101101 => 1011010
[[1,2,3],[4,7],[5,8],[6]] => 0011101 => 1011100
[[1,4,6],[2,5],[3,8],[7]] => 1101010 => 0101011
[[1,3,6],[2,5],[4,8],[7]] => 1010010 => 0100101
[[1,2,6],[3,5],[4,8],[7]] => 0110010 => 0100110
[[1,3,6],[2,4],[5,8],[7]] => 1011010 => 0101101
[[1,2,6],[3,4],[5,8],[7]] => 0101010 => 0101010
[[1,4,5],[2,6],[3,8],[7]] => 1100110 => 0110011
[[1,3,5],[2,6],[4,8],[7]] => 1010110 => 0110101
[[1,2,5],[3,6],[4,8],[7]] => 0110110 => 0110110
[[1,3,4],[2,6],[5,8],[7]] => 1001010 => 0101001
[[1,2,4],[3,6],[5,8],[7]] => 0101010 => 0101010
[[1,2,3],[4,6],[5,8],[7]] => 0011010 => 0101100
[[1,3,5],[2,4],[6,8],[7]] => 1010110 => 0110101
[[1,2,5],[3,4],[6,8],[7]] => 0100110 => 0110010
[[1,3,4],[2,5],[6,8],[7]] => 1001110 => 0111001
[[1,2,4],[3,5],[6,8],[7]] => 0101110 => 0111010
[[1,2,3],[4,5],[6,8],[7]] => 0010110 => 0110100
[[1,4,7],[2,5],[3,6],[8]] => 1101101 => 1011011
[[1,3,7],[2,5],[4,6],[8]] => 1010101 => 1010101
[[1,2,7],[3,5],[4,6],[8]] => 0110101 => 1010110
[[1,3,7],[2,4],[5,6],[8]] => 1011001 => 1001101
[[1,2,7],[3,4],[5,6],[8]] => 0101001 => 1001010
[[1,4,6],[2,5],[3,7],[8]] => 1101011 => 1101011
[[1,3,6],[2,5],[4,7],[8]] => 1010011 => 1100101
[[1,2,6],[3,5],[4,7],[8]] => 0110011 => 1100110
[[1,3,6],[2,4],[5,7],[8]] => 1011011 => 1101101
[[1,2,6],[3,4],[5,7],[8]] => 0101011 => 1101010
[[1,4,5],[2,6],[3,7],[8]] => 1100111 => 1110011
[[1,3,5],[2,6],[4,7],[8]] => 1010111 => 1110101
[[1,2,5],[3,6],[4,7],[8]] => 0110111 => 1110110
[[1,3,4],[2,6],[5,7],[8]] => 1001011 => 1101001
[[1,2,4],[3,6],[5,7],[8]] => 0101011 => 1101010
[[1,2,3],[4,6],[5,7],[8]] => 0011011 => 1101100
[[1,3,5],[2,4],[6,7],[8]] => 1010101 => 1010101
[[1,2,5],[3,4],[6,7],[8]] => 0100101 => 1010010
[[1,3,4],[2,5],[6,7],[8]] => 1001101 => 1011001
[[1,2,4],[3,5],[6,7],[8]] => 0101101 => 1011010
[[1,2,3],[4,5],[6,7],[8]] => 0010101 => 1010100
[[1,6,8],[2,7],[3],[4],[5]] => 1111010 => 0101111
[[1,5,8],[2,7],[3],[4],[6]] => 1110100 => 0010111
[[1,4,8],[2,7],[3],[5],[6]] => 1101100 => 0011011
[[1,3,8],[2,7],[4],[5],[6]] => 1011100 => 0011101
[[1,2,8],[3,7],[4],[5],[6]] => 0111100 => 0011110
[[1,5,8],[2,6],[3],[4],[7]] => 1110110 => 0110111
[[1,4,8],[2,6],[3],[5],[7]] => 1101010 => 0101011
[[1,3,8],[2,6],[4],[5],[7]] => 1011010 => 0101101
[[1,2,8],[3,6],[4],[5],[7]] => 0111010 => 0101110
[[1,4,8],[2,5],[3],[6],[7]] => 1101110 => 0111011
[[1,3,8],[2,5],[4],[6],[7]] => 1010110 => 0110101
[[1,2,8],[3,5],[4],[6],[7]] => 0110110 => 0110110
[[1,3,8],[2,4],[5],[6],[7]] => 1011110 => 0111101
[[1,2,8],[3,4],[5],[6],[7]] => 0101110 => 0111010
[[1,6,7],[2,8],[3],[4],[5]] => 1111001 => 1001111
[[1,5,7],[2,8],[3],[4],[6]] => 1110101 => 1010111
[[1,4,7],[2,8],[3],[5],[6]] => 1101101 => 1011011
[[1,3,7],[2,8],[4],[5],[6]] => 1011101 => 1011101
[[1,2,7],[3,8],[4],[5],[6]] => 0111101 => 1011110
[[1,5,6],[2,8],[3],[4],[7]] => 1110010 => 0100111
[[1,4,6],[2,8],[3],[5],[7]] => 1101010 => 0101011
[[1,3,6],[2,8],[4],[5],[7]] => 1011010 => 0101101
[[1,2,6],[3,8],[4],[5],[7]] => 0111010 => 0101110
[[1,4,5],[2,8],[3],[6],[7]] => 1100110 => 0110011
[[1,3,5],[2,8],[4],[6],[7]] => 1010110 => 0110101
[[1,2,5],[3,8],[4],[6],[7]] => 0110110 => 0110110
[[1,3,4],[2,8],[5],[6],[7]] => 1001110 => 0111001
[[1,2,4],[3,8],[5],[6],[7]] => 0101110 => 0111010
[[1,2,3],[4,8],[5],[6],[7]] => 0011110 => 0111100
[[1,5,7],[2,6],[3],[4],[8]] => 1110101 => 1010111
[[1,4,7],[2,6],[3],[5],[8]] => 1101001 => 1001011
[[1,3,7],[2,6],[4],[5],[8]] => 1011001 => 1001101
[[1,2,7],[3,6],[4],[5],[8]] => 0111001 => 1001110
[[1,4,7],[2,5],[3],[6],[8]] => 1101101 => 1011011
[[1,3,7],[2,5],[4],[6],[8]] => 1010101 => 1010101
[[1,2,7],[3,5],[4],[6],[8]] => 0110101 => 1010110
[[1,3,7],[2,4],[5],[6],[8]] => 1011101 => 1011101
[[1,2,7],[3,4],[5],[6],[8]] => 0101101 => 1011010
[[1,5,6],[2,7],[3],[4],[8]] => 1110011 => 1100111
[[1,4,6],[2,7],[3],[5],[8]] => 1101011 => 1101011
[[1,3,6],[2,7],[4],[5],[8]] => 1011011 => 1101101
[[1,2,6],[3,7],[4],[5],[8]] => 0111011 => 1101110
[[1,4,5],[2,7],[3],[6],[8]] => 1100101 => 1010011
[[1,3,5],[2,7],[4],[6],[8]] => 1010101 => 1010101
[[1,2,5],[3,7],[4],[6],[8]] => 0110101 => 1010110
[[1,3,4],[2,7],[5],[6],[8]] => 1001101 => 1011001
[[1,2,4],[3,7],[5],[6],[8]] => 0101101 => 1011010
[[1,2,3],[4,7],[5],[6],[8]] => 0011101 => 1011100
[[1,4,6],[2,5],[3],[7],[8]] => 1101011 => 1101011
[[1,3,6],[2,5],[4],[7],[8]] => 1010011 => 1100101
[[1,2,6],[3,5],[4],[7],[8]] => 0110011 => 1100110
[[1,3,6],[2,4],[5],[7],[8]] => 1011011 => 1101101
[[1,2,6],[3,4],[5],[7],[8]] => 0101011 => 1101010
[[1,4,5],[2,6],[3],[7],[8]] => 1100111 => 1110011
[[1,3,5],[2,6],[4],[7],[8]] => 1010111 => 1110101
[[1,2,5],[3,6],[4],[7],[8]] => 0110111 => 1110110
[[1,3,4],[2,6],[5],[7],[8]] => 1001011 => 1101001
[[1,2,4],[3,6],[5],[7],[8]] => 0101011 => 1101010
[[1,2,3],[4,6],[5],[7],[8]] => 0011011 => 1101100
[[1,3,5],[2,4],[6],[7],[8]] => 1010111 => 1110101
[[1,2,5],[3,4],[6],[7],[8]] => 0100111 => 1110010
[[1,3,4],[2,5],[6],[7],[8]] => 1001111 => 1111001
[[1,2,4],[3,5],[6],[7],[8]] => 0101111 => 1111010
[[1,2,3],[4,5],[6],[7],[8]] => 0010111 => 1110100
[[1,7,8],[2],[3],[4],[5],[6]] => 1111100 => 0011111
[[1,6,8],[2],[3],[4],[5],[7]] => 1111010 => 0101111
[[1,5,8],[2],[3],[4],[6],[7]] => 1110110 => 0110111
[[1,4,8],[2],[3],[5],[6],[7]] => 1101110 => 0111011
[[1,3,8],[2],[4],[5],[6],[7]] => 1011110 => 0111101
[[1,2,8],[3],[4],[5],[6],[7]] => 0111110 => 0111110
[[1,6,7],[2],[3],[4],[5],[8]] => 1111001 => 1001111
[[1,5,7],[2],[3],[4],[6],[8]] => 1110101 => 1010111
[[1,4,7],[2],[3],[5],[6],[8]] => 1101101 => 1011011
[[1,3,7],[2],[4],[5],[6],[8]] => 1011101 => 1011101
[[1,2,7],[3],[4],[5],[6],[8]] => 0111101 => 1011110
[[1,5,6],[2],[3],[4],[7],[8]] => 1110011 => 1100111
[[1,4,6],[2],[3],[5],[7],[8]] => 1101011 => 1101011
[[1,3,6],[2],[4],[5],[7],[8]] => 1011011 => 1101101
[[1,2,6],[3],[4],[5],[7],[8]] => 0111011 => 1101110
[[1,4,5],[2],[3],[6],[7],[8]] => 1100111 => 1110011
[[1,3,5],[2],[4],[6],[7],[8]] => 1010111 => 1110101
[[1,2,5],[3],[4],[6],[7],[8]] => 0110111 => 1110110
[[1,3,4],[2],[5],[6],[7],[8]] => 1001111 => 1111001
[[1,2,4],[3],[5],[6],[7],[8]] => 0101111 => 1111010
[[1,2,3],[4],[5],[6],[7],[8]] => 0011111 => 1111100
[[1,5],[2,6],[3,7],[4,8]] => 1110111 => 1110111
[[1,4],[2,6],[3,7],[5,8]] => 1101011 => 1101011
[[1,3],[2,6],[4,7],[5,8]] => 1011011 => 1101101
[[1,2],[3,6],[4,7],[5,8]] => 0111011 => 1101110
[[1,4],[2,5],[3,7],[6,8]] => 1101101 => 1011011
[[1,3],[2,5],[4,7],[6,8]] => 1010101 => 1010101
[[1,2],[3,5],[4,7],[6,8]] => 0110101 => 1010110
[[1,3],[2,4],[5,7],[6,8]] => 1011101 => 1011101
[[1,2],[3,4],[5,7],[6,8]] => 0101101 => 1011010
[[1,4],[2,5],[3,6],[7,8]] => 1101110 => 0111011
[[1,3],[2,5],[4,6],[7,8]] => 1010110 => 0110101
[[1,2],[3,5],[4,6],[7,8]] => 0110110 => 0110110
[[1,3],[2,4],[5,6],[7,8]] => 1011010 => 0101101
[[1,2],[3,4],[5,6],[7,8]] => 0101010 => 0101010
[[1,6],[2,7],[3,8],[4],[5]] => 1111011 => 1101111
[[1,5],[2,7],[3,8],[4],[6]] => 1110101 => 1010111
[[1,4],[2,7],[3,8],[5],[6]] => 1101101 => 1011011
[[1,3],[2,7],[4,8],[5],[6]] => 1011101 => 1011101
[[1,2],[3,7],[4,8],[5],[6]] => 0111101 => 1011110
[[1,5],[2,6],[3,8],[4],[7]] => 1110110 => 0110111
[[1,4],[2,6],[3,8],[5],[7]] => 1101010 => 0101011
[[1,3],[2,6],[4,8],[5],[7]] => 1011010 => 0101101
[[1,2],[3,6],[4,8],[5],[7]] => 0111010 => 0101110
[[1,4],[2,5],[3,8],[6],[7]] => 1101110 => 0111011
[[1,3],[2,5],[4,8],[6],[7]] => 1010110 => 0110101
[[1,2],[3,5],[4,8],[6],[7]] => 0110110 => 0110110
[[1,3],[2,4],[5,8],[6],[7]] => 1011110 => 0111101
[[1,2],[3,4],[5,8],[6],[7]] => 0101110 => 0111010
[[1,5],[2,6],[3,7],[4],[8]] => 1110111 => 1110111
[[1,4],[2,6],[3,7],[5],[8]] => 1101011 => 1101011
[[1,3],[2,6],[4,7],[5],[8]] => 1011011 => 1101101
[[1,2],[3,6],[4,7],[5],[8]] => 0111011 => 1101110
[[1,4],[2,5],[3,7],[6],[8]] => 1101101 => 1011011
[[1,3],[2,5],[4,7],[6],[8]] => 1010101 => 1010101
[[1,2],[3,5],[4,7],[6],[8]] => 0110101 => 1010110
[[1,3],[2,4],[5,7],[6],[8]] => 1011101 => 1011101
[[1,2],[3,4],[5,7],[6],[8]] => 0101101 => 1011010
[[1,4],[2,5],[3,6],[7],[8]] => 1101111 => 1111011
[[1,3],[2,5],[4,6],[7],[8]] => 1010111 => 1110101
[[1,2],[3,5],[4,6],[7],[8]] => 0110111 => 1110110
[[1,3],[2,4],[5,6],[7],[8]] => 1011011 => 1101101
[[1,2],[3,4],[5,6],[7],[8]] => 0101011 => 1101010
[[1,7],[2,8],[3],[4],[5],[6]] => 1111101 => 1011111
[[1,6],[2,8],[3],[4],[5],[7]] => 1111010 => 0101111
[[1,5],[2,8],[3],[4],[6],[7]] => 1110110 => 0110111
[[1,4],[2,8],[3],[5],[6],[7]] => 1101110 => 0111011
[[1,3],[2,8],[4],[5],[6],[7]] => 1011110 => 0111101
[[1,2],[3,8],[4],[5],[6],[7]] => 0111110 => 0111110
[[1,6],[2,7],[3],[4],[5],[8]] => 1111011 => 1101111
[[1,5],[2,7],[3],[4],[6],[8]] => 1110101 => 1010111
[[1,4],[2,7],[3],[5],[6],[8]] => 1101101 => 1011011
[[1,3],[2,7],[4],[5],[6],[8]] => 1011101 => 1011101
[[1,2],[3,7],[4],[5],[6],[8]] => 0111101 => 1011110
[[1,5],[2,6],[3],[4],[7],[8]] => 1110111 => 1110111
[[1,4],[2,6],[3],[5],[7],[8]] => 1101011 => 1101011
[[1,3],[2,6],[4],[5],[7],[8]] => 1011011 => 1101101
[[1,2],[3,6],[4],[5],[7],[8]] => 0111011 => 1101110
[[1,4],[2,5],[3],[6],[7],[8]] => 1101111 => 1111011
[[1,3],[2,5],[4],[6],[7],[8]] => 1010111 => 1110101
[[1,2],[3,5],[4],[6],[7],[8]] => 0110111 => 1110110
[[1,3],[2,4],[5],[6],[7],[8]] => 1011111 => 1111101
[[1,2],[3,4],[5],[6],[7],[8]] => 0101111 => 1111010
[[1,8],[2],[3],[4],[5],[6],[7]] => 1111110 => 0111111
[[1,7],[2],[3],[4],[5],[6],[8]] => 1111101 => 1011111
[[1,6],[2],[3],[4],[5],[7],[8]] => 1111011 => 1101111
[[1,5],[2],[3],[4],[6],[7],[8]] => 1110111 => 1110111
[[1,4],[2],[3],[5],[6],[7],[8]] => 1101111 => 1111011
[[1,3],[2],[4],[5],[6],[7],[8]] => 1011111 => 1111101
[[1,2],[3],[4],[5],[6],[7],[8]] => 0111111 => 1111110
[[1],[2],[3],[4],[5],[6],[7],[8]] => 1111111 => 1111111
[[1,3,5,7,9],[2,4,6,8,10]] => 101010101 => 101010101
[[1,3,5,7,8],[2,4,6,9,10]] => 101010010 => 010010101
[[1,3,5,6,9],[2,4,7,8,10]] => 101001001 => 100100101
[[1,3,5,6,8],[2,4,7,9,10]] => 101001010 => 010100101
[[1,3,5,6,7],[2,4,8,9,10]] => 101000100 => 001000101
[[1,3,4,7,9],[2,5,6,8,10]] => 100100101 => 101001001
[[1,3,4,7,8],[2,5,6,9,10]] => 100100010 => 010001001
[[1,3,4,6,9],[2,5,7,8,10]] => 100101001 => 100101001
[[1,3,4,6,8],[2,5,7,9,10]] => 100101010 => 010101001
[[1,3,4,6,7],[2,5,8,9,10]] => 100100100 => 001001001
[[1,3,4,5,9],[2,6,7,8,10]] => 100010001 => 100010001
[[1,3,4,5,8],[2,6,7,9,10]] => 100010010 => 010010001
[[1,3,4,5,7],[2,6,8,9,10]] => 100010100 => 001010001
[[1,3,4,5,6],[2,7,8,9,10]] => 100001000 => 000100001
[[1,2,5,7,9],[3,4,6,8,10]] => 010010101 => 101010010
[[1,2,5,7,8],[3,4,6,9,10]] => 010010010 => 010010010
[[1,2,5,6,9],[3,4,7,8,10]] => 010001001 => 100100010
[[1,2,5,6,8],[3,4,7,9,10]] => 010001010 => 010100010
[[1,2,5,6,7],[3,4,8,9,10]] => 010000100 => 001000010
[[1,2,4,7,9],[3,5,6,8,10]] => 010100101 => 101001010
[[1,2,4,7,8],[3,5,6,9,10]] => 010100010 => 010001010
[[1,2,4,6,9],[3,5,7,8,10]] => 010101001 => 100101010
[[1,2,4,6,8],[3,5,7,9,10]] => 010101010 => 010101010
[[1,2,4,6,7],[3,5,8,9,10]] => 010100100 => 001001010
[[1,2,4,5,9],[3,6,7,8,10]] => 010010001 => 100010010
[[1,2,4,5,8],[3,6,7,9,10]] => 010010010 => 010010010
[[1,2,4,5,7],[3,6,8,9,10]] => 010010100 => 001010010
[[1,2,4,5,6],[3,7,8,9,10]] => 010001000 => 000100010
[[1,2,3,7,9],[4,5,6,8,10]] => 001000101 => 101000100
[[1,2,3,7,8],[4,5,6,9,10]] => 001000010 => 010000100
[[1,2,3,6,9],[4,5,7,8,10]] => 001001001 => 100100100
[[1,2,3,6,8],[4,5,7,9,10]] => 001001010 => 010100100
[[1,2,3,6,7],[4,5,8,9,10]] => 001000100 => 001000100
[[1,2,3,5,9],[4,6,7,8,10]] => 001010001 => 100010100
[[1,2,3,5,8],[4,6,7,9,10]] => 001010010 => 010010100
[[1,2,3,5,7],[4,6,8,9,10]] => 001010100 => 001010100
[[1,2,3,5,6],[4,7,8,9,10]] => 001001000 => 000100100
[[1,2,3,4,9],[5,6,7,8,10]] => 000100001 => 100001000
[[1,2,3,4,8],[5,6,7,9,10]] => 000100010 => 010001000
[[1,2,3,4,7],[5,6,8,9,10]] => 000100100 => 001001000
[[1,2,3,4,6],[5,7,8,9,10]] => 000101000 => 000101000
[[1,2,3,4,5],[6,7,8,9,10]] => 000010000 => 000010000
[[1,3,5,7,9,11],[2,4,6,8,10,12]] => 10101010101 => 10101010101
[[1,3,5,7,9,10],[2,4,6,8,11,12]] => 10101010010 => 01001010101
[[1,3,5,7,8,11],[2,4,6,9,10,12]] => 10101001001 => 10010010101
[[1,3,5,7,8,10],[2,4,6,9,11,12]] => 10101001010 => 01010010101
[[1,3,5,7,8,9],[2,4,6,10,11,12]] => 10101000100 => 00100010101
[[1,3,5,6,9,11],[2,4,7,8,10,12]] => 10100100101 => 10100100101
[[1,3,5,6,9,10],[2,4,7,8,11,12]] => 10100100010 => 01000100101
[[1,3,5,6,8,11],[2,4,7,9,10,12]] => 10100101001 => 10010100101
[[1,3,5,6,8,10],[2,4,7,9,11,12]] => 10100101010 => 01010100101
[[1,3,5,6,8,9],[2,4,7,10,11,12]] => 10100100100 => 00100100101
[[1,3,5,6,7,11],[2,4,8,9,10,12]] => 10100010001 => 10001000101
[[1,3,5,6,7,10],[2,4,8,9,11,12]] => 10100010010 => 01001000101
[[1,3,5,6,7,9],[2,4,8,10,11,12]] => 10100010100 => 00101000101
[[1,3,5,6,7,8],[2,4,9,10,11,12]] => 10100001000 => 00010000101
[[1,3,4,7,9,11],[2,5,6,8,10,12]] => 10010010101 => 10101001001
[[1,3,4,7,9,10],[2,5,6,8,11,12]] => 10010010010 => 01001001001
[[1,3,4,7,8,11],[2,5,6,9,10,12]] => 10010001001 => 10010001001
[[1,3,4,7,8,10],[2,5,6,9,11,12]] => 10010001010 => 01010001001
[[1,3,4,7,8,9],[2,5,6,10,11,12]] => 10010000100 => 00100001001
[[1,3,4,6,9,11],[2,5,7,8,10,12]] => 10010100101 => 10100101001
[[1,3,4,6,9,10],[2,5,7,8,11,12]] => 10010100010 => 01000101001
[[1,3,4,6,8,11],[2,5,7,9,10,12]] => 10010101001 => 10010101001
[[1,3,4,6,8,10],[2,5,7,9,11,12]] => 10010101010 => 01010101001
[[1,3,4,6,8,9],[2,5,7,10,11,12]] => 10010100100 => 00100101001
[[1,3,4,6,7,11],[2,5,8,9,10,12]] => 10010010001 => 10001001001
[[1,3,4,6,7,10],[2,5,8,9,11,12]] => 10010010010 => 01001001001
[[1,3,4,6,7,9],[2,5,8,10,11,12]] => 10010010100 => 00101001001
[[1,3,4,6,7,8],[2,5,9,10,11,12]] => 10010001000 => 00010001001
[[1,3,4,5,9,11],[2,6,7,8,10,12]] => 10001000101 => 10100010001
[[1,3,4,5,9,10],[2,6,7,8,11,12]] => 10001000010 => 01000010001
[[1,3,4,5,8,11],[2,6,7,9,10,12]] => 10001001001 => 10010010001
[[1,3,4,5,8,10],[2,6,7,9,11,12]] => 10001001010 => 01010010001
[[1,3,4,5,8,9],[2,6,7,10,11,12]] => 10001000100 => 00100010001
[[1,3,4,5,7,11],[2,6,8,9,10,12]] => 10001010001 => 10001010001
[[1,3,4,5,7,10],[2,6,8,9,11,12]] => 10001010010 => 01001010001
[[1,3,4,5,7,9],[2,6,8,10,11,12]] => 10001010100 => 00101010001
[[1,3,4,5,7,8],[2,6,9,10,11,12]] => 10001001000 => 00010010001
[[1,3,4,5,6,11],[2,7,8,9,10,12]] => 10000100001 => 10000100001
[[1,3,4,5,6,10],[2,7,8,9,11,12]] => 10000100010 => 01000100001
[[1,3,4,5,6,9],[2,7,8,10,11,12]] => 10000100100 => 00100100001
[[1,3,4,5,6,8],[2,7,9,10,11,12]] => 10000101000 => 00010100001
[[1,3,4,5,6,7],[2,8,9,10,11,12]] => 10000010000 => 00001000001
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => 01001010101 => 10101010010
[[1,2,5,7,9,10],[3,4,6,8,11,12]] => 01001010010 => 01001010010
[[1,2,5,7,8,11],[3,4,6,9,10,12]] => 01001001001 => 10010010010
[[1,2,5,7,8,10],[3,4,6,9,11,12]] => 01001001010 => 01010010010
[[1,2,5,7,8,9],[3,4,6,10,11,12]] => 01001000100 => 00100010010
[[1,2,5,6,9,11],[3,4,7,8,10,12]] => 01000100101 => 10100100010
[[1,2,5,6,9,10],[3,4,7,8,11,12]] => 01000100010 => 01000100010
[[1,2,5,6,8,11],[3,4,7,9,10,12]] => 01000101001 => 10010100010
[[1,2,5,6,8,10],[3,4,7,9,11,12]] => 01000101010 => 01010100010
[[1,2,5,6,8,9],[3,4,7,10,11,12]] => 01000100100 => 00100100010
[[1,2,5,6,7,11],[3,4,8,9,10,12]] => 01000010001 => 10001000010
[[1,2,5,6,7,10],[3,4,8,9,11,12]] => 01000010010 => 01001000010
[[1,2,5,6,7,9],[3,4,8,10,11,12]] => 01000010100 => 00101000010
[[1,2,5,6,7,8],[3,4,9,10,11,12]] => 01000001000 => 00010000010
[[1,2,4,7,9,11],[3,5,6,8,10,12]] => 01010010101 => 10101001010
[[1,2,4,7,9,10],[3,5,6,8,11,12]] => 01010010010 => 01001001010
[[1,2,4,7,8,11],[3,5,6,9,10,12]] => 01010001001 => 10010001010
[[1,2,4,7,8,10],[3,5,6,9,11,12]] => 01010001010 => 01010001010
[[1,2,4,7,8,9],[3,5,6,10,11,12]] => 01010000100 => 00100001010
[[1,2,4,6,9,11],[3,5,7,8,10,12]] => 01010100101 => 10100101010
[[1,2,4,6,9,10],[3,5,7,8,11,12]] => 01010100010 => 01000101010
[[1,2,4,6,8,11],[3,5,7,9,10,12]] => 01010101001 => 10010101010
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => 01010101010 => 01010101010
[[1,2,4,6,8,9],[3,5,7,10,11,12]] => 01010100100 => 00100101010
[[1,2,4,6,7,11],[3,5,8,9,10,12]] => 01010010001 => 10001001010
[[1,2,4,6,7,10],[3,5,8,9,11,12]] => 01010010010 => 01001001010
[[1,2,4,6,7,9],[3,5,8,10,11,12]] => 01010010100 => 00101001010
[[1,2,4,6,7,8],[3,5,9,10,11,12]] => 01010001000 => 00010001010
[[1,2,4,5,9,11],[3,6,7,8,10,12]] => 01001000101 => 10100010010
[[1,2,4,5,9,10],[3,6,7,8,11,12]] => 01001000010 => 01000010010
[[1,2,4,5,8,11],[3,6,7,9,10,12]] => 01001001001 => 10010010010
[[1,2,4,5,8,10],[3,6,7,9,11,12]] => 01001001010 => 01010010010
[[1,2,4,5,8,9],[3,6,7,10,11,12]] => 01001000100 => 00100010010
[[1,2,4,5,7,11],[3,6,8,9,10,12]] => 01001010001 => 10001010010
[[1,2,4,5,7,10],[3,6,8,9,11,12]] => 01001010010 => 01001010010
[[1,2,4,5,7,9],[3,6,8,10,11,12]] => 01001010100 => 00101010010
[[1,2,4,5,7,8],[3,6,9,10,11,12]] => 01001001000 => 00010010010
[[1,2,4,5,6,11],[3,7,8,9,10,12]] => 01000100001 => 10000100010
[[1,2,4,5,6,10],[3,7,8,9,11,12]] => 01000100010 => 01000100010
[[1,2,4,5,6,9],[3,7,8,10,11,12]] => 01000100100 => 00100100010
[[1,2,4,5,6,8],[3,7,9,10,11,12]] => 01000101000 => 00010100010
[[1,2,4,5,6,7],[3,8,9,10,11,12]] => 01000010000 => 00001000010
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => 00100010101 => 10101000100
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => 00100010010 => 01001000100
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => 00100001001 => 10010000100
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => 00100001010 => 01010000100
[[1,2,3,7,8,9],[4,5,6,10,11,12]] => 00100000100 => 00100000100
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => 00100100101 => 10100100100
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => 00100100010 => 01000100100
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => 00100101001 => 10010100100
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => 00100101010 => 01010100100
[[1,2,3,6,8,9],[4,5,7,10,11,12]] => 00100100100 => 00100100100
[[1,2,3,6,7,11],[4,5,8,9,10,12]] => 00100010001 => 10001000100
[[1,2,3,6,7,10],[4,5,8,9,11,12]] => 00100010010 => 01001000100
[[1,2,3,6,7,9],[4,5,8,10,11,12]] => 00100010100 => 00101000100
[[1,2,3,6,7,8],[4,5,9,10,11,12]] => 00100001000 => 00010000100
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => 00101000101 => 10100010100
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => 00101000010 => 01000010100
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => 00101001001 => 10010010100
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => 00101001010 => 01010010100
[[1,2,3,5,8,9],[4,6,7,10,11,12]] => 00101000100 => 00100010100
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => 00101010001 => 10001010100
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => 00101010010 => 01001010100
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => 00101010100 => 00101010100
[[1,2,3,5,7,8],[4,6,9,10,11,12]] => 00101001000 => 00010010100
[[1,2,3,5,6,11],[4,7,8,9,10,12]] => 00100100001 => 10000100100
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => 00100100010 => 01000100100
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => 00100100100 => 00100100100
[[1,2,3,5,6,8],[4,7,9,10,11,12]] => 00100101000 => 00010100100
[[1,2,3,5,6,7],[4,8,9,10,11,12]] => 00100010000 => 00001000100
[[1,2,3,4,9,11],[5,6,7,8,10,12]] => 00010000101 => 10100001000
[[1,2,3,4,9,10],[5,6,7,8,11,12]] => 00010000010 => 01000001000
[[1,2,3,4,8,11],[5,6,7,9,10,12]] => 00010001001 => 10010001000
[[1,2,3,4,8,10],[5,6,7,9,11,12]] => 00010001010 => 01010001000
[[1,2,3,4,8,9],[5,6,7,10,11,12]] => 00010000100 => 00100001000
[[1,2,3,4,7,11],[5,6,8,9,10,12]] => 00010010001 => 10001001000
[[1,2,3,4,7,10],[5,6,8,9,11,12]] => 00010010010 => 01001001000
[[1,2,3,4,7,9],[5,6,8,10,11,12]] => 00010010100 => 00101001000
[[1,2,3,4,7,8],[5,6,9,10,11,12]] => 00010001000 => 00010001000
[[1,2,3,4,6,11],[5,7,8,9,10,12]] => 00010100001 => 10000101000
[[1,2,3,4,6,10],[5,7,8,9,11,12]] => 00010100010 => 01000101000
[[1,2,3,4,6,9],[5,7,8,10,11,12]] => 00010100100 => 00100101000
[[1,2,3,4,6,8],[5,7,9,10,11,12]] => 00010101000 => 00010101000
[[1,2,3,4,6,7],[5,8,9,10,11,12]] => 00010010000 => 00001001000
[[1,2,3,4,5,11],[6,7,8,9,10,12]] => 00001000001 => 10000010000
[[1,2,3,4,5,10],[6,7,8,9,11,12]] => 00001000010 => 01000010000
[[1,2,3,4,5,9],[6,7,8,10,11,12]] => 00001000100 => 00100010000
[[1,2,3,4,5,8],[6,7,9,10,11,12]] => 00001001000 => 00010010000
[[1,2,3,4,5,7],[6,8,9,10,11,12]] => 00001010000 => 00001010000
[[1,2,3,4,5,6],[7,8,9,10,11,12]] => 00000100000 => 00000100000
[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]] => 1010101010101 => 1010101010101
[[1,2,3,4,5,6,7,8,9]] => 00000000 => 00000000
[[1,2,3,4,5,6,7,8],[9]] => 00000001 => 10000000
[[1,2,3,4,5,6,7],[8,9]] => 00000010 => 01000000
[[1,2,3,4,5,6,7],[8],[9]] => 00000011 => 11000000
[[1,2,3,4,5,6],[7,8,9]] => 00000100 => 00100000
[[1,2,3,4,5,6],[7,8],[9]] => 00000101 => 10100000
[[1,2,3,4,5,6],[7],[8],[9]] => 00000111 => 11100000
[[1,2,3,4,5],[6,7,8,9]] => 00001000 => 00010000
[[1,2,3,4,5],[6,7,8],[9]] => 00001001 => 10010000
[[1,2,3,4,5],[6,7],[8,9]] => 00001010 => 01010000
[[1,2,3,4,5],[6,7],[8],[9]] => 00001011 => 11010000
[[1,2,3,4,5],[6],[7],[8],[9]] => 00001111 => 11110000
[[1,2,3,4],[5,6,7,8],[9]] => 00010001 => 10001000
[[1,2,3,4],[5,6,7],[8,9]] => 00010010 => 01001000
[[1,2,3,4],[5,6,7],[8],[9]] => 00010011 => 11001000
[[1,2,3,4],[5,6],[7,8],[9]] => 00010101 => 10101000
[[1,2,3,4],[5,6],[7],[8],[9]] => 00010111 => 11101000
[[1,2,3,4],[5],[6],[7],[8],[9]] => 00011111 => 11111000
[[1,2,3],[4,5,6],[7,8,9]] => 00100100 => 00100100
[[1,2,3],[4,5,6],[7,8],[9]] => 00100101 => 10100100
[[1,2,3],[4,5,6],[7],[8],[9]] => 00100111 => 11100100
[[1,2,3],[4,5],[6,7],[8,9]] => 00101010 => 01010100
[[1,2,3],[4,5],[6,7],[8],[9]] => 00101011 => 11010100
[[1,2,3],[4,5],[6],[7],[8],[9]] => 00101111 => 11110100
[[1,2,3],[4],[5],[6],[7],[8],[9]] => 00111111 => 11111100
[[1,2],[3,4],[5,6],[7,8],[9]] => 01010101 => 10101010
[[1,2],[3,4],[5,6],[7],[8],[9]] => 01010111 => 11101010
[[1,2],[3,4],[5],[6],[7],[8],[9]] => 01011111 => 11111010
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => 01111111 => 11111110
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 11111111 => 11111111
[[1,2,3,4,5,6,7,8,9,10]] => 000000000 => 000000000
[[1,2,3,4,5,6,7,8,9],[10]] => 000000001 => 100000000
[[1,2,3,4,5,6,7,8],[9,10]] => 000000010 => 010000000
[[1,2,3,4,5,6,7,8],[9],[10]] => 000000011 => 110000000
[[1,2,3,4,5,6,7],[8,9,10]] => 000000100 => 001000000
[[1,2,3,4,5,6,7],[8,9],[10]] => 000000101 => 101000000
[[1,2,3,4,5,6,7],[8],[9],[10]] => 000000111 => 111000000
[[1,2,3,4,5,6],[7,8,9,10]] => 000001000 => 000100000
[[1,2,3,4,5,6],[7,8,9],[10]] => 000001001 => 100100000
[[1,2,3,4,5,6],[7,8],[9,10]] => 000001010 => 010100000
[[1,2,3,4,5,6],[7,8],[9],[10]] => 000001011 => 110100000
[[1,2,3,4,5,6],[7],[8],[9],[10]] => 000001111 => 111100000
[[1,2,3,4,5],[6,7,8,9],[10]] => 000010001 => 100010000
[[1,2,3,4,5],[6,7,8],[9,10]] => 000010010 => 010010000
[[1,2,3,4,5],[6,7,8],[9],[10]] => 000010011 => 110010000
[[1,2,3,4,5],[6,7],[8,9],[10]] => 000010101 => 101010000
[[1,2,3,4,5],[6,7],[8],[9],[10]] => 000010111 => 111010000
[[1,2,3,4,5],[6],[7],[8],[9],[10]] => 000011111 => 111110000
[[1,2,3,4],[5,6,7,8],[9,10]] => 000100010 => 010001000
[[1,2,3,4],[5,6,7,8],[9],[10]] => 000100011 => 110001000
[[1,2,3,4],[5,6,7],[8,9,10]] => 000100100 => 001001000
[[1,2,3,4],[5,6,7],[8,9],[10]] => 000100101 => 101001000
[[1,2,3,4],[5,6,7],[8],[9],[10]] => 000100111 => 111001000
[[1,2,3,4],[5,6],[7,8],[9,10]] => 000101010 => 010101000
[[1,2,3,4],[5,6],[7,8],[9],[10]] => 000101011 => 110101000
[[1,2,3,4],[5,6],[7],[8],[9],[10]] => 000101111 => 111101000
[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => 000111111 => 111111000
[[1,2,3],[4,5,6],[7,8,9],[10]] => 001001001 => 100100100
[[1,2,3],[4,5,6],[7,8],[9,10]] => 001001010 => 010100100
[[1,2,3],[4,5,6],[7,8],[9],[10]] => 001001011 => 110100100
[[1,2,3],[4,5,6],[7],[8],[9],[10]] => 001001111 => 111100100
[[1,2,3],[4,5],[6,7],[8,9],[10]] => 001010101 => 101010100
[[1,2,3],[4,5],[6,7],[8],[9],[10]] => 001010111 => 111010100
[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => 001011111 => 111110100
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => 001111111 => 111111100
[[1,2],[3,4],[5,6],[7,8],[9,10]] => 010101010 => 010101010
[[1,2],[3,4],[5,6],[7,8],[9],[10]] => 010101011 => 110101010
[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => 010101111 => 111101010
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => 010111111 => 111111010
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 011111111 => 111111110
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 111111111 => 111111111
[[1,2,3,4,5],[6,7,8,9],[10,11]] => 0000100010 => 0100010000
[[1,2,3,4,5],[6,7,8],[9,10,11]] => 0000100100 => 0010010000
[[1,2,3,4,5],[6,7,8],[9,10],[11]] => 0000100101 => 1010010000
[[1,2,3,4,5],[6,7,8],[9],[10],[11]] => 0000100111 => 1110010000
[[1,2,3,4,5],[6,7],[8,9],[10,11]] => 0000101010 => 0101010000
[[1,2,3,4,5],[6,7],[8,9],[10],[11]] => 0000101011 => 1101010000
[[1,2,3,4],[5,6,7,8],[9,10,11]] => 0001000100 => 0010001000
[[1,2,3,4],[5,6,7,8],[9,10],[11]] => 0001000101 => 1010001000
[[1,2,3,4],[5,6,7,8],[9],[10],[11]] => 0001000111 => 1110001000
[[1,2,3,4],[5,6,7],[8,9],[10,11]] => 0001001010 => 0101001000
[[1,2,3,4],[5,6,7],[8,9],[10],[11]] => 0001001011 => 1101001000
[[1,2,3,4],[5,6],[7,8],[9,10],[11]] => 0001010101 => 1010101000
[[1,2,3],[4,5,6],[7,8,9],[10,11]] => 0010010010 => 0100100100
[[1,2,3],[4,5,6],[7,8,9],[10],[11]] => 0010010011 => 1100100100
[[1,2,3],[4,5,6],[7,8],[9,10],[11]] => 0010010101 => 1010100100
[[1,2,3,4,5,6,7,8,9,10,11,12]] => 00000000000 => 00000000000
[[1,2,3,4,5,6],[7,8,9,10],[11,12]] => 00000100010 => 01000100000
[[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 00001000100 => 00100010000
[[1,2,3,4,5],[6,7,8,9],[10,11],[12]] => 00001000101 => 10100010000
[[1,2,3,4,5],[6,7,8,9],[10],[11],[12]] => 00001000111 => 11100010000
[[1,2,3,4,5],[6,7,8],[9,10,11],[12]] => 00001001001 => 10010010000
[[1,2,3,4,5],[6,7,8],[9,10],[11,12]] => 00001001010 => 01010010000
[[1,2,3,4,5],[6,7],[8,9],[10,11],[12]] => 00001010101 => 10101010000
[[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 00010001001 => 10010001000
[[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 00010001010 => 01010001000
[[1,2,3,4],[5,6,7,8],[9,10],[11],[12]] => 00010001011 => 11010001000
[[1,2,3,4],[5,6,7],[8,9,10],[11,12]] => 00010010010 => 01001001000
[[1,2,3,4],[5,6,7],[8,9],[10,11],[12]] => 00010010101 => 10101001000
[[1,2,3,4],[5,6],[7,8],[9,10],[11,12]] => 00010101010 => 01010101000
[[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => 00100100101 => 10100100100
[[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]] => 00100101011 => 11010100100
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 01010101010 => 01010101010
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => 11111111111 => 11111111111
[[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]] => 000010001011 => 110100010000
[[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]] => 000010010011 => 110010010000
[[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]] => 000010010101 => 101010010000
[[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]] => 000100010011 => 110010001000
[[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]] => 000100010101 => 101010001000
[[1,3,4,5,6,7,8,9],[2]] => 10000000 => 00000001
[[1,2,5,6,7,8,9],[3,4]] => 01000000 => 00000010
[[1,4,5,6,7,8,9],[2],[3]] => 11000000 => 00000011
[[1,2,3,7,8,9],[4,5,6]] => 00100000 => 00000100
[[1,3,6,7,8,9],[2,5],[4]] => 10100000 => 00000101
[[1,5,6,7,8,9],[2],[3],[4]] => 11100000 => 00000111
[[1,2,3,4,9],[5,6,7,8]] => 00010000 => 00001000
[[1,3,4,8,9],[2,6,7],[5]] => 10010000 => 00001001
[[1,2,7,8,9],[3,4],[5,6]] => 01010000 => 00001010
[[1,4,7,8,9],[2,6],[3],[5]] => 11010000 => 00001011
[[1,6,7,8,9],[2],[3],[4],[5]] => 11110000 => 00001111
[[1,3,4,5],[2,7,8,9],[6]] => 10001000 => 00010001
[[1,2,5,9],[3,4,8],[6,7]] => 01001000 => 00010010
[[1,4,5,9],[2,7,8],[3],[6]] => 11001000 => 00010011
[[1,3,8,9],[2,5],[4,7],[6]] => 10101000 => 00010101
[[1,5,8,9],[2,7],[3],[4],[6]] => 11101000 => 00010111
[[1,7,8,9],[2],[3],[4],[5],[6]] => 11111000 => 00011111
[[1,3,6],[2,5,9],[4,8],[7]] => 10100100 => 00100101
[[1,5,6],[2,8,9],[3],[4],[7]] => 11100100 => 00100111
[[1,2,9],[3,4],[5,6],[7,8]] => 01010100 => 00101010
[[1,4,9],[2,6],[3,8],[5],[7]] => 11010100 => 00101011
[[1,6,9],[2,8],[3],[4],[5],[7]] => 11110100 => 00101111
[[1,8,9],[2],[3],[4],[5],[6],[7]] => 11111100 => 00111111
[[1,3],[2,5],[4,7],[6,9],[8]] => 10101010 => 01010101
[[1,5],[2,7],[3,9],[4],[6],[8]] => 11101010 => 01010111
[[1,7],[2,9],[3],[4],[5],[6],[8]] => 11111010 => 01011111
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => 11111110 => 01111111
[[1,3,4,5,6,7,8,9,10],[2]] => 100000000 => 000000001
[[1,2,5,6,7,8,9,10],[3,4]] => 010000000 => 000000010
[[1,4,5,6,7,8,9,10],[2],[3]] => 110000000 => 000000011
[[1,2,3,7,8,9,10],[4,5,6]] => 001000000 => 000000100
[[1,3,6,7,8,9,10],[2,5],[4]] => 101000000 => 000000101
[[1,5,6,7,8,9,10],[2],[3],[4]] => 111000000 => 000000111
[[1,2,3,4,9,10],[5,6,7,8]] => 000100000 => 000001000
[[1,3,4,8,9,10],[2,6,7],[5]] => 100100000 => 000001001
[[1,2,7,8,9,10],[3,4],[5,6]] => 010100000 => 000001010
[[1,4,7,8,9,10],[2,6],[3],[5]] => 110100000 => 000001011
[[1,6,7,8,9,10],[2],[3],[4],[5]] => 111100000 => 000001111
[[1,3,4,5,10],[2,7,8,9],[6]] => 100010000 => 000010001
[[1,2,5,9,10],[3,4,8],[6,7]] => 010010000 => 000010010
[[1,4,5,9,10],[2,7,8],[3],[6]] => 110010000 => 000010011
[[1,3,8,9,10],[2,5],[4,7],[6]] => 101010000 => 000010101
[[1,5,8,9,10],[2,7],[3],[4],[6]] => 111010000 => 000010111
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => 111110000 => 000011111
[[1,2,5,6],[3,4,9,10],[7,8]] => 010001000 => 000100010
[[1,4,5,6],[2,8,9,10],[3],[7]] => 110001000 => 000100011
[[1,2,3,10],[4,5,6],[7,8,9]] => 001001000 => 000100100
[[1,3,6,10],[2,5,9],[4,8],[7]] => 101001000 => 000100101
[[1,5,6,10],[2,8,9],[3],[4],[7]] => 111001000 => 000100111
[[1,2,9,10],[3,4],[5,6],[7,8]] => 010101000 => 000101010
[[1,4,9,10],[2,6],[3,8],[5],[7]] => 110101000 => 000101011
[[1,6,9,10],[2,8],[3],[4],[5],[7]] => 111101000 => 000101111
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 111111000 => 000111111
[[1,3,4],[2,6,7],[5,9,10],[8]] => 100100100 => 001001001
[[1,2,7],[3,4,10],[5,6],[8,9]] => 010100100 => 001001010
[[1,4,7],[2,6,10],[3,9],[5],[8]] => 110100100 => 001001011
[[1,6,7],[2,9,10],[3],[4],[5],[8]] => 111100100 => 001001111
[[1,3,10],[2,5],[4,7],[6,9],[8]] => 101010100 => 001010101
[[1,5,10],[2,7],[3,9],[4],[6],[8]] => 111010100 => 001010111
[[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 111110100 => 001011111
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 111111100 => 001111111
[[1,4],[2,6],[3,8],[5,10],[7],[9]] => 110101010 => 010101011
[[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 111101010 => 010101111
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 111111010 => 010111111
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 111111110 => 011111111
[[1,2,5,6,11],[3,4,9,10],[7,8]] => 0100010000 => 0000100010
[[1,4,5,6,11],[2,8,9,10],[3],[7]] => 1100010000 => 0000100011
[[1,2,3,10,11],[4,5,6],[7,8,9]] => 0010010000 => 0000100100
[[1,3,6,10,11],[2,5,9],[4,8],[7]] => 1010010000 => 0000100101
[[1,5,6,10,11],[2,8,9],[3],[4],[7]] => 1110010000 => 0000100111
[[1,2,9,10,11],[3,4],[5,6],[7,8]] => 0101010000 => 0000101010
[[1,4,9,10,11],[2,6],[3,8],[5],[7]] => 1101010000 => 0000101011
[[1,2,3,7],[4,5,6,11],[8,9,10]] => 0010001000 => 0001000100
[[1,3,6,7],[2,5,10,11],[4,9],[8]] => 1010001000 => 0001000101
[[1,5,6,7],[2,9,10,11],[3],[4],[8]] => 1110001000 => 0001000111
[[1,3,4,11],[2,6,7],[5,9,10],[8]] => 1001001000 => 0001001001
[[1,2,7,11],[3,4,10],[5,6],[8,9]] => 0101001000 => 0001001010
[[1,4,7,11],[2,6,10],[3,9],[5],[8]] => 1101001000 => 0001001011
[[1,3,10,11],[2,5],[4,7],[6,9],[8]] => 1010101000 => 0001010101
[[1,4,5],[2,7,8],[3,10,11],[6],[9]] => 1100100100 => 0010010011
[[1,3,8],[2,5,11],[4,7],[6,10],[9]] => 1010100100 => 0010010101
[[1,2,5,6,11,12],[3,4,9,10],[7,8]] => 01000100000 => 00000100010
[[1,4,5,6,7],[2,9,10,11,12],[3],[8]] => 11000010000 => 00001000011
[[1,2,3,7,12],[4,5,6,11],[8,9,10]] => 00100010000 => 00001000100
[[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => 10100010000 => 00001000101
[[1,5,6,7,12],[2,9,10,11],[3],[4],[8]] => 11100010000 => 00001000111
[[1,3,4,11,12],[2,6,7],[5,9,10],[8]] => 10010010000 => 00001001001
[[1,2,7,11,12],[3,4,10],[5,6],[8,9]] => 01010010000 => 00001001010
[[1,4,7,11,12],[2,6,10],[3,9],[5],[8]] => 11010010000 => 00001001011
[[1,3,10,11,12],[2,5],[4,7],[6,9],[8]] => 10101010000 => 00001010101
[[1,3,4,8],[2,6,7,12],[5,10,11],[9]] => 10010001000 => 00010001001
[[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 01010001000 => 00010001010
[[1,4,7,8],[2,6,11,12],[3,10],[5],[9]] => 11010001000 => 00010001011
[[1,2,5,12],[3,4,8],[6,7,11],[9,10]] => 01001001000 => 00010010010
[[1,4,5,12],[2,7,8],[3,10,11],[6],[9]] => 11001001000 => 00010010011
[[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => 10101001000 => 00010010101
[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]] => 10100100100 => 00100100101
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => 11010100100 => 00100101011
[[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]] => 100100010000 => 000010001001
[[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]] => 010100010000 => 000010001010
[[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]] => 010010010000 => 000010010010
[[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]] => 110010010000 => 000010010011
[[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]] => 110010001000 => 000100010011
[[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]] => 101010001000 => 000100010101
[[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]] => 101001001000 => 000100100101
[[1,8],[2,9],[3],[4],[5],[6],[7]] => 11111101 => 10111111
[[1,7],[2,8],[3,9],[4],[5],[6]] => 11111011 => 11011111
[[1,7,9],[2,8],[3],[4],[5],[6]] => 11111010 => 01011111
[[1,6],[2,7],[3,8],[4,9],[5]] => 11110111 => 11101111
[[1,6,9],[2,7],[3,8],[4],[5]] => 11110110 => 01101111
[[1,6,8],[2,7,9],[3],[4],[5]] => 11110101 => 10101111
[[1,6,8,9],[2,7],[3],[4],[5]] => 11110100 => 00101111
[[1,5,9],[2,6],[3,7],[4,8]] => 11101110 => 01110111
[[1,5,8],[2,6,9],[3,7],[4]] => 11101101 => 10110111
[[1,5,8,9],[2,6],[3,7],[4]] => 11101100 => 00110111
[[1,5,7,9],[2,6,8],[3],[4]] => 11101010 => 01010111
[[1,5,7,8,9],[2,6],[3],[4]] => 11101000 => 00010111
[[1,4,7],[2,5,8],[3,6,9]] => 11011011 => 11011011
[[1,4,7,9],[2,5,8],[3,6]] => 11011010 => 01011011
[[1,4,7,8,9],[2,5],[3,6]] => 11011000 => 00011011
[[1,4,6,8],[2,5,7,9],[3]] => 11010101 => 10101011
[[1,4,6,8,9],[2,5,7],[3]] => 11010100 => 00101011
[[1,4,6,7,8,9],[2,5],[3]] => 11010000 => 00001011
[[1,3,5,7,9],[2,4,6,8]] => 10101010 => 01010101
[[1,3,5,7,8,9],[2,4,6]] => 10101000 => 00010101
[[1,3,5,6,7,8,9],[2,4]] => 10100000 => 00000101
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 111111101 => 101111111
[[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 111111011 => 110111111
[[1,8,10],[2,9],[3],[4],[5],[6],[7]] => 111111010 => 010111111
[[1,7],[2,8],[3,9],[4,10],[5],[6]] => 111110111 => 111011111
[[1,7,10],[2,8],[3,9],[4],[5],[6]] => 111110110 => 011011111
[[1,7,9],[2,8,10],[3],[4],[5],[6]] => 111110101 => 101011111
[[1,7,9,10],[2,8],[3],[4],[5],[6]] => 111110100 => 001011111
[[1,6],[2,7],[3,8],[4,9],[5,10]] => 111101111 => 111101111
[[1,6,10],[2,7],[3,8],[4,9],[5]] => 111101110 => 011101111
[[1,6,9],[2,7,10],[3,8],[4],[5]] => 111101101 => 101101111
[[1,6,9,10],[2,7],[3,8],[4],[5]] => 111101100 => 001101111
[[1,6,8,10],[2,7,9],[3],[4],[5]] => 111101010 => 010101111
[[1,6,8,9,10],[2,7],[3],[4],[5]] => 111101000 => 000101111
[[1,5,9],[2,6,10],[3,7],[4,8]] => 111011101 => 101110111
[[1,5,9,10],[2,6],[3,7],[4,8]] => 111011100 => 001110111
[[1,5,8],[2,6,9],[3,7,10],[4]] => 111011011 => 110110111
[[1,5,8,10],[2,6,9],[3,7],[4]] => 111011010 => 010110111
[[1,5,8,9,10],[2,6],[3,7],[4]] => 111011000 => 000110111
[[1,5,7,9],[2,6,8,10],[3],[4]] => 111010101 => 101010111
[[1,5,7,9,10],[2,6,8],[3],[4]] => 111010100 => 001010111
[[1,5,7,8,9,10],[2,6],[3],[4]] => 111010000 => 000010111
[[1,4,7,10],[2,5,8],[3,6,9]] => 110110110 => 011011011
[[1,4,7,9],[2,5,8,10],[3,6]] => 110110101 => 101011011
[[1,4,7,9,10],[2,5,8],[3,6]] => 110110100 => 001011011
[[1,4,7,8,9,10],[2,5],[3,6]] => 110110000 => 000011011
[[1,4,6,8,10],[2,5,7,9],[3]] => 110101010 => 010101011
[[1,4,6,8,9,10],[2,5,7],[3]] => 110101000 => 000101011
[[1,4,6,7,8,9,10],[2,5],[3]] => 110100000 => 000001011
[[1,3,5,7,9,10],[2,4,6,8]] => 101010100 => 001010101
[[1,3,5,7,8,9,10],[2,4,6]] => 101010000 => 000010101
[[1,3,5,6,7,8,9,10],[2,4]] => 101000000 => 000000101
[[1,3],[2,4],[5],[6],[7],[8],[9]] => 10111111 => 11111101
[[1,4],[2,5],[3,6],[7],[8],[9]] => 11011111 => 11111011
[[1,2,4],[3,5],[6],[7],[8],[9]] => 01011111 => 11111010
[[1,5],[2,6],[3,7],[4,8],[9]] => 11101111 => 11110111
[[1,2,5],[3,6],[4,7],[8],[9]] => 01101111 => 11110110
[[1,3,5],[2,4,6],[7],[8],[9]] => 10101111 => 11110101
[[1,2,3,5],[4,6],[7],[8],[9]] => 00101111 => 11110100
[[1,2,6],[3,7],[4,8],[5,9]] => 01110111 => 11101110
[[1,3,6],[2,4,7],[5,8],[9]] => 10110111 => 11101101
[[1,2,3,6],[4,7],[5,8],[9]] => 00110111 => 11101100
[[1,2,4,6],[3,5,7],[8],[9]] => 01010111 => 11101010
[[1,2,3,4,6],[5,7],[8],[9]] => 00010111 => 11101000
[[1,2,4,7],[3,5,8],[6,9]] => 01011011 => 11011010
[[1,2,3,4,7],[5,8],[6,9]] => 00011011 => 11011000
[[1,3,5,7],[2,4,6,8],[9]] => 10101011 => 11010101
[[1,2,3,5,7],[4,6,8],[9]] => 00101011 => 11010100
[[1,2,3,4,5,7],[6,8],[9]] => 00001011 => 11010000
[[1,2,4,6,8],[3,5,7,9]] => 01010101 => 10101010
[[1,2,3,4,6,8],[5,7,9]] => 00010101 => 10101000
[[1,2,3,4,5,6,8],[7,9]] => 00000101 => 10100000
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 101111111 => 111111101
[[1,4],[2,5],[3,6],[7],[8],[9],[10]] => 110111111 => 111111011
[[1,2,4],[3,5],[6],[7],[8],[9],[10]] => 010111111 => 111111010
[[1,5],[2,6],[3,7],[4,8],[9],[10]] => 111011111 => 111110111
[[1,2,5],[3,6],[4,7],[8],[9],[10]] => 011011111 => 111110110
[[1,3,5],[2,4,6],[7],[8],[9],[10]] => 101011111 => 111110101
[[1,2,3,5],[4,6],[7],[8],[9],[10]] => 001011111 => 111110100
[[1,2,6],[3,7],[4,8],[5,9],[10]] => 011101111 => 111101110
[[1,3,6],[2,4,7],[5,8],[9],[10]] => 101101111 => 111101101
[[1,2,3,6],[4,7],[5,8],[9],[10]] => 001101111 => 111101100
[[1,2,4,6],[3,5,7],[8],[9],[10]] => 010101111 => 111101010
[[1,2,3,4,6],[5,7],[8],[9],[10]] => 000101111 => 111101000
[[1,3,7],[2,4,8],[5,9],[6,10]] => 101110111 => 111011101
[[1,2,3,7],[4,8],[5,9],[6,10]] => 001110111 => 111011100
[[1,4,7],[2,5,8],[3,6,9],[10]] => 110110111 => 111011011
[[1,2,4,7],[3,5,8],[6,9],[10]] => 010110111 => 111011010
[[1,2,3,4,7],[5,8],[6,9],[10]] => 000110111 => 111011000
[[1,3,5,7],[2,4,6,8],[9],[10]] => 101010111 => 111010101
[[1,2,3,5,7],[4,6,8],[9],[10]] => 001010111 => 111010100
[[1,2,3,4,5,7],[6,8],[9],[10]] => 000010111 => 111010000
[[1,2,5,8],[3,6,9],[4,7,10]] => 011011011 => 110110110
[[1,3,5,8],[2,4,6,9],[7,10]] => 101011011 => 110110101
[[1,2,3,5,8],[4,6,9],[7,10]] => 001011011 => 110110100
[[1,2,3,4,5,8],[6,9],[7,10]] => 000011011 => 110110000
[[1,2,4,6,8],[3,5,7,9],[10]] => 010101011 => 110101010
[[1,2,3,4,6,8],[5,7,9],[10]] => 000101011 => 110101000
[[1,2,3,4,5,6,8],[7,9],[10]] => 000001011 => 110100000
[[1,2,3,5,7,9],[4,6,8,10]] => 001010101 => 101010100
[[1,2,3,4,5,7,9],[6,8,10]] => 000010101 => 101010000
[[1,2,3,4,5,6,7,9],[8,10]] => 000000101 => 101000000
[[1,2],[3,4],[5,6],[7,9],[8,10]] => 010101101 => 101101010
[[1,2],[3,4],[5,7],[6,8],[9,10]] => 010110110 => 011011010
[[1,2],[3,4],[5,7],[6,9],[8,10]] => 010110101 => 101011010
[[1,2],[3,4],[5,8],[6,9],[7,10]] => 010111011 => 110111010
[[1,2],[3,5],[4,6],[7,8],[9,10]] => 011011010 => 010110110
[[1,2],[3,5],[4,6],[7,9],[8,10]] => 011011101 => 101110110
[[1,2],[3,5],[4,7],[6,8],[9,10]] => 011010110 => 011010110
[[1,2],[3,5],[4,7],[6,9],[8,10]] => 011010101 => 101010110
[[1,2],[3,5],[4,8],[6,9],[7,10]] => 011011011 => 110110110
[[1,2],[3,6],[4,7],[5,8],[9,10]] => 011101110 => 011101110
[[1,2],[3,6],[4,7],[5,9],[8,10]] => 011101101 => 101101110
[[1,2],[3,6],[4,8],[5,9],[7,10]] => 011101011 => 110101110
[[1,2],[3,7],[4,8],[5,9],[6,10]] => 011110111 => 111011110
[[1,3],[2,4],[5,6],[7,8],[9,10]] => 101101010 => 010101101
[[1,3],[2,4],[5,6],[7,9],[8,10]] => 101101101 => 101101101
[[1,3],[2,4],[5,7],[6,8],[9,10]] => 101110110 => 011011101
[[1,3],[2,4],[5,7],[6,9],[8,10]] => 101110101 => 101011101
[[1,3],[2,4],[5,8],[6,9],[7,10]] => 101111011 => 110111101
[[1,3],[2,5],[4,6],[7,8],[9,10]] => 101011010 => 010110101
[[1,3],[2,5],[4,6],[7,9],[8,10]] => 101011101 => 101110101
[[1,3],[2,5],[4,7],[6,8],[9,10]] => 101010110 => 011010101
[[1,3],[2,5],[4,7],[6,9],[8,10]] => 101010101 => 101010101
[[1,3],[2,5],[4,8],[6,9],[7,10]] => 101011011 => 110110101
[[1,3],[2,6],[4,7],[5,8],[9,10]] => 101101110 => 011101101
[[1,3],[2,6],[4,7],[5,9],[8,10]] => 101101101 => 101101101
[[1,3],[2,6],[4,8],[5,9],[7,10]] => 101101011 => 110101101
[[1,3],[2,7],[4,8],[5,9],[6,10]] => 101110111 => 111011101
[[1,4],[2,5],[3,6],[7,8],[9,10]] => 110111010 => 010111011
[[1,4],[2,5],[3,6],[7,9],[8,10]] => 110111101 => 101111011
[[1,4],[2,5],[3,7],[6,8],[9,10]] => 110110110 => 011011011
[[1,4],[2,5],[3,7],[6,9],[8,10]] => 110110101 => 101011011
[[1,4],[2,5],[3,8],[6,9],[7,10]] => 110111011 => 110111011
[[1,4],[2,6],[3,7],[5,8],[9,10]] => 110101110 => 011101011
[[1,4],[2,6],[3,7],[5,9],[8,10]] => 110101101 => 101101011
[[1,4],[2,6],[3,8],[5,9],[7,10]] => 110101011 => 110101011
[[1,4],[2,7],[3,8],[5,9],[6,10]] => 110110111 => 111011011
[[1,5],[2,6],[3,7],[4,8],[9,10]] => 111011110 => 011110111
[[1,5],[2,6],[3,7],[4,9],[8,10]] => 111011101 => 101110111
[[1,5],[2,6],[3,8],[4,9],[7,10]] => 111011011 => 110110111
[[1,5],[2,7],[3,8],[4,9],[6,10]] => 111010111 => 111010111
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]] => 01010101101 => 10110101010
[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]] => 01010110110 => 01101101010
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]] => 01010110101 => 10101101010
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]] => 01010111011 => 11011101010
[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]] => 01011011010 => 01011011010
[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]] => 01011011101 => 10111011010
[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]] => 01011010110 => 01101011010
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]] => 01011010101 => 10101011010
[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]] => 01011011011 => 11011011010
[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]] => 01011101110 => 01110111010
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]] => 01011101101 => 10110111010
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]] => 01011101011 => 11010111010
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]] => 01011110111 => 11101111010
[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]] => 01101101010 => 01010110110
[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]] => 01101101101 => 10110110110
[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]] => 01101110110 => 01101110110
[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]] => 01101110101 => 10101110110
[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]] => 01101111011 => 11011110110
[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]] => 01101011010 => 01011010110
[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]] => 01101011101 => 10111010110
[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]] => 01101010110 => 01101010110
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]] => 01101010101 => 10101010110
[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]] => 01101011011 => 11011010110
[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]] => 01101101110 => 01110110110
[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]] => 01101101101 => 10110110110
[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]] => 01101101011 => 11010110110
[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]] => 01101110111 => 11101110110
[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]] => 01110111010 => 01011101110
[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]] => 01110111101 => 10111101110
[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]] => 01110110110 => 01101101110
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]] => 01110110101 => 10101101110
[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]] => 01110111011 => 11011101110
[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]] => 01110101110 => 01110101110
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]] => 01110101101 => 10110101110
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]] => 01110101011 => 11010101110
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]] => 01110110111 => 11101101110
[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]] => 01111011110 => 01111011110
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]] => 01111011101 => 10111011110
[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]] => 01111011011 => 11011011110
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]] => 01111010111 => 11101011110
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]] => 01111101111 => 11110111110
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]] => 10110101010 => 01010101101
[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]] => 10110101101 => 10110101101
[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]] => 10110110110 => 01101101101
[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]] => 10110110101 => 10101101101
[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]] => 10110111011 => 11011101101
[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]] => 10111011010 => 01011011101
[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]] => 10111011101 => 10111011101
[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]] => 10111010110 => 01101011101
[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]] => 10111010101 => 10101011101
[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]] => 10111011011 => 11011011101
[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]] => 10111101110 => 01110111101
[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]] => 10111101101 => 10110111101
[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]] => 10111101011 => 11010111101
[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]] => 10111110111 => 11101111101
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]] => 10101101010 => 01010110101
[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]] => 10101101101 => 10110110101
[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]] => 10101110110 => 01101110101
[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]] => 10101110101 => 10101110101
[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]] => 10101111011 => 11011110101
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]] => 10101011010 => 01011010101
[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]] => 10101011101 => 10111010101
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]] => 10101010110 => 01101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]] => 10101010101 => 10101010101
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]] => 10101011011 => 11011010101
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]] => 10101101110 => 01110110101
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]] => 10101101101 => 10110110101
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]] => 10101101011 => 11010110101
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]] => 10101110111 => 11101110101
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]] => 10110111010 => 01011101101
[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]] => 10110111101 => 10111101101
[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]] => 10110110110 => 01101101101
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]] => 10110110101 => 10101101101
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]] => 10110111011 => 11011101101
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]] => 10110101110 => 01110101101
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]] => 10110101101 => 10110101101
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]] => 10110101011 => 11010101101
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]] => 10110110111 => 11101101101
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]] => 10111011110 => 01111011101
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]] => 10111011101 => 10111011101
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]] => 10111011011 => 11011011101
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]] => 10111010111 => 11101011101
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]] => 10111101111 => 11110111101
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]] => 11011101010 => 01010111011
[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]] => 11011101101 => 10110111011
[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]] => 11011110110 => 01101111011
[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]] => 11011110101 => 10101111011
[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]] => 11011111011 => 11011111011
[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]] => 11011011010 => 01011011011
[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]] => 11011011101 => 10111011011
[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]] => 11011010110 => 01101011011
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]] => 11011010101 => 10101011011
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]] => 11011011011 => 11011011011
[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]] => 11011101110 => 01110111011
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]] => 11011101101 => 10110111011
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]] => 11011101011 => 11010111011
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]] => 11011110111 => 11101111011
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]] => 11010111010 => 01011101011
[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]] => 11010111101 => 10111101011
[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]] => 11010110110 => 01101101011
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]] => 11010110101 => 10101101011
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]] => 11010111011 => 11011101011
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]] => 11010101110 => 01110101011
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]] => 11010101101 => 10110101011
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]] => 11010101011 => 11010101011
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]] => 11010110111 => 11101101011
[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]] => 11011011110 => 01111011011
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]] => 11011011101 => 10111011011
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]] => 11011011011 => 11011011011
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]] => 11011010111 => 11101011011
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]] => 11011101111 => 11110111011
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]] => 11101111010 => 01011110111
[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]] => 11101111101 => 10111110111
[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]] => 11101110110 => 01101110111
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]] => 11101110101 => 10101110111
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]] => 11101111011 => 11011110111
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]] => 11101101110 => 01110110111
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]] => 11101101101 => 10110110111
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]] => 11101101011 => 11010110111
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]] => 11101110111 => 11101110111
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]] => 11101011110 => 01111010111
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]] => 11101011101 => 10111010111
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]] => 11101011011 => 11011010111
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]] => 11101010111 => 11101010111
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]] => 11101101111 => 11110110111
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]] => 11110111110 => 01111101111
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]] => 11110111101 => 10111101111
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]] => 11110111011 => 11011101111
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]] => 11110110111 => 11101101111
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]] => 11110101111 => 11110101111
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => 11111011111 => 11111011111
[[1,2,3,4,5,6,7,9],[8]] => 00000010 => 01000000
[[1,2,3,4,5,6,9],[7,8]] => 00000100 => 00100000
[[1,2,3,4,5,6,9],[7],[8]] => 00000110 => 01100000
[[1,2,3,4,5,9],[6,7,8]] => 00001000 => 00010000
[[1,2,3,4,5,9],[6,7],[8]] => 00001010 => 01010000
[[1,2,3,4,5,9],[6],[7],[8]] => 00001110 => 01110000
[[1,2,3,4,9],[5,6,7],[8]] => 00010010 => 01001000
[[1,2,3,4,9],[5,6],[7,8]] => 00010100 => 00101000
[[1,2,3,4,9],[5,6],[7],[8]] => 00010110 => 01101000
[[1,2,3,4,9],[5],[6],[7],[8]] => 00011110 => 01111000
[[1,2,3,7],[4,5,6,9],[8]] => 00100010 => 01000100
[[1,2,3,9],[4,5,6],[7,8]] => 00100100 => 00100100
[[1,2,3,9],[4,5,6],[7],[8]] => 00100110 => 01100100
[[1,2,3,9],[4,5],[6,7],[8]] => 00101010 => 01010100
[[1,2,3,9],[4,5],[6],[7],[8]] => 00101110 => 01110100
[[1,2,3,9],[4],[5],[6],[7],[8]] => 00111110 => 01111100
[[1,2,5],[3,4,8],[6,7,9]] => 01001001 => 10010010
[[1,2,5],[3,4,9],[6,7],[8]] => 01001010 => 01010010
[[1,2,5],[3,4,9],[6],[7],[8]] => 01001110 => 01110010
[[1,2,9],[3,4],[5,6],[7],[8]] => 01010110 => 01101010
[[1,2,9],[3,4],[5],[6],[7],[8]] => 01011110 => 01111010
[[1,2,9],[3],[4],[5],[6],[7],[8]] => 01111110 => 01111110
[[1,3],[2,5],[4,9],[6],[7],[8]] => 10101110 => 01110101
[[1,3],[2,9],[4],[5],[6],[7],[8]] => 10111110 => 01111101
[[1,2,3,4,5,6,7,8,10],[9]] => 000000010 => 010000000
[[1,2,3,4,5,6,7,10],[8,9]] => 000000100 => 001000000
[[1,2,3,4,5,6,7,10],[8],[9]] => 000000110 => 011000000
[[1,2,3,4,5,6,10],[7,8,9]] => 000001000 => 000100000
[[1,2,3,4,5,6,10],[7,8],[9]] => 000001010 => 010100000
[[1,2,3,4,5,6,10],[7],[8],[9]] => 000001110 => 011100000
[[1,2,3,4,5,10],[6,7,8,9]] => 000010000 => 000010000
[[1,2,3,4,5,10],[6,7,8],[9]] => 000010010 => 010010000
[[1,2,3,4,5,10],[6,7],[8,9]] => 000010100 => 001010000
[[1,2,3,4,5,10],[6,7],[8],[9]] => 000010110 => 011010000
[[1,2,3,4,5,10],[6],[7],[8],[9]] => 000011110 => 011110000
[[1,2,3,4,10],[5,6,7,8],[9]] => 000100010 => 010001000
[[1,2,3,4,10],[5,6,7],[8,9]] => 000100100 => 001001000
[[1,2,3,4,10],[5,6,7],[8],[9]] => 000100110 => 011001000
[[1,2,3,4,10],[5,6],[7,8],[9]] => 000101010 => 010101000
[[1,2,3,4,10],[5,6],[7],[8],[9]] => 000101110 => 011101000
[[1,2,3,4,10],[5],[6],[7],[8],[9]] => 000111110 => 011111000
[[1,2,3,7],[4,5,6,10],[8,9]] => 001000100 => 001000100
[[1,2,3,7],[4,5,6,10],[8],[9]] => 001000110 => 011000100
[[1,2,3,10],[4,5,6],[7,8],[9]] => 001001010 => 010100100
[[1,2,3,10],[4,5,6],[7],[8],[9]] => 001001110 => 011100100
[[1,2,3,10],[4,5],[6,7],[8,9]] => 001010100 => 001010100
[[1,2,3,10],[4,5],[6,7],[8],[9]] => 001010110 => 011010100
[[1,2,3,10],[4,5],[6],[7],[8],[9]] => 001011110 => 011110100
[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => 001111110 => 011111100
[[1,2,5],[3,4,8],[6,7,10],[9]] => 010010010 => 010010010
[[1,2,5],[3,4,10],[6,7],[8,9]] => 010010100 => 001010010
[[1,2,5],[3,4,10],[6,7],[8],[9]] => 010010110 => 011010010
[[1,2,5],[3,4,10],[6],[7],[8],[9]] => 010011110 => 011110010
[[1,2,10],[3,4],[5,6],[7,8],[9]] => 010101010 => 010101010
[[1,2,10],[3,4],[5,6],[7],[8],[9]] => 010101110 => 011101010
[[1,2,10],[3,4],[5],[6],[7],[8],[9]] => 010111110 => 011111010
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => 011111110 => 011111110
[[1,3],[2,5],[4,7],[6,10],[8],[9]] => 101010110 => 011010101
[[1,3],[2,5],[4,10],[6],[7],[8],[9]] => 101011110 => 011110101
[[1,3],[2,10],[4],[5],[6],[7],[8],[9]] => 101111110 => 011111101
[] => =>
[[1,2,4,5,6,7,8,9],[3]] => 01000000 => 00000010
[[1,3,4,6,7,8,9],[2,5]] => 10010000 => 00001001
[[1,3,5,6,7,8,9],[2],[4]] => 10100000 => 00000101
[[1,3,5,6,8,9],[2,4,7]] => 10100100 => 00100101
[[1,2,4,7,8,9],[3,5],[6]] => 01011000 => 00011010
[[1,4,6,7,8,9],[2],[3],[5]] => 11010000 => 00001011
[[1,3,5,7,8],[2,4,6,9]] => 10101001 => 10010101
[[1,2,5,7,9],[3,6,8],[4]] => 01101010 => 01010110
[[1,4,6,8,9],[2,5],[3,7]] => 11010100 => 00101011
[[1,3,5,8,9],[2,6],[4],[7]] => 10101100 => 00110101
[[1,5,7,8,9],[2],[3],[4],[6]] => 11101000 => 00010111
[[1,2,5,6],[3,7,8,9],[4]] => 01100100 => 00100110
[[1,3,4,7],[2,6,8],[5,9]] => 10010011 => 11001001
[[1,3,6,8],[2,7,9],[4],[5]] => 10110101 => 10101101
[[1,2,6,9],[3,4],[5,7],[8]] => 01010110 => 01101010
[[1,4,6,9],[2,7],[3],[5],[8]] => 11010110 => 01101011
[[1,6,8,9],[2],[3],[4],[5],[7]] => 11110100 => 00101111
[[1,2,4],[3,5,7],[6,8],[9]] => 01011011 => 11011010
[[1,4,7],[2,8,9],[3],[5],[6]] => 11011010 => 01011011
[[1,5,8],[2,6],[3,7],[4,9]] => 11101101 => 10110111
[[1,3,7],[2,5],[4,8],[6],[9]] => 10101011 => 11010101
[[1,5,7],[2,8],[3],[4],[6],[9]] => 11101011 => 11010111
[[1,7,9],[2],[3],[4],[5],[6],[8]] => 11111010 => 01011111
[[1,4],[2,6],[3,8],[5],[7],[9]] => 11010101 => 10101011
[[1,6],[2,8],[3],[4],[5],[7],[9]] => 11110101 => 10101111
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => 11111101 => 10111111
[[1,2,4,5,6,7,8,9,10],[3]] => 010000000 => 000000010
[[1,3,4,6,7,8,9,10],[2,5]] => 100100000 => 000001001
[[1,3,5,6,7,8,9,10],[2],[4]] => 101000000 => 000000101
[[1,3,5,6,8,9,10],[2,4,7]] => 101001000 => 000100101
[[1,2,4,7,8,9,10],[3,5],[6]] => 010110000 => 000011010
[[1,4,6,7,8,9,10],[2],[3],[5]] => 110100000 => 000001011
[[1,3,5,7,8,10],[2,4,6,9]] => 101010010 => 010010101
[[1,2,5,7,9,10],[3,6,8],[4]] => 011010100 => 001010110
[[1,4,6,8,9,10],[2,5],[3,7]] => 110101000 => 000101011
[[1,3,5,8,9,10],[2,6],[4],[7]] => 101011000 => 000110101
[[1,5,7,8,9,10],[2],[3],[4],[6]] => 111010000 => 000010111
[[1,2,5,6,9],[3,7,8,10],[4]] => 011001001 => 100100110
[[1,3,4,7,10],[2,6,8],[5,9]] => 100100110 => 011001001
[[1,3,6,8,10],[2,7,9],[4],[5]] => 101101010 => 010101101
[[1,2,6,9,10],[3,4],[5,7],[8]] => 010101100 => 001101010
[[1,4,6,9,10],[2,7],[3],[5],[8]] => 110101100 => 001101011
[[1,6,8,9,10],[2],[3],[4],[5],[7]] => 111101000 => 000101111
[[1,3,4,8],[2,6,9,10],[5,7]] => 100101010 => 010101001
[[1,3,6,7],[2,8,9,10],[4],[5]] => 101100100 => 001001101
[[1,4,7,9],[2,5,8],[3,6,10]] => 110110101 => 101011011
[[1,4,7,9],[2,8,10],[3],[5],[6]] => 110110101 => 101011011
[[1,5,8,10],[2,6],[3,7],[4,9]] => 111011010 => 010110111
[[1,3,7,10],[2,5],[4,8],[6],[9]] => 101010110 => 011010101
[[1,5,7,10],[2,8],[3],[4],[6],[9]] => 111010110 => 011010111
[[1,7,9,10],[2],[3],[4],[5],[6],[8]] => 111110100 => 001011111
[[1,2,5],[3,7,8],[4,9,10],[6]] => 011010010 => 010010110
[[1,4,6],[2,5,9],[3,8],[7,10]] => 110101001 => 100101011
[[1,3,5],[2,6,8],[4,9],[7],[10]] => 101011011 => 110110101
[[1,5,8],[2,9,10],[3],[4],[6],[7]] => 111011010 => 010110111
[[1,2,8],[3,4],[5,6],[7,9],[10]] => 010101011 => 110101010
[[1,4,8],[2,6],[3,9],[5],[7],[10]] => 110101011 => 110101011
[[1,6,8],[2,9],[3],[4],[5],[7],[10]] => 111101011 => 110101111
[[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => 111111010 => 010111111
[[1,3],[2,5],[4,7],[6,9],[8],[10]] => 101010101 => 101010101
[[1,5],[2,7],[3,9],[4],[6],[8],[10]] => 111010101 => 101010111
[[1,7],[2,9],[3],[4],[5],[6],[8],[10]] => 111110101 => 101011111
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => 111111101 => 101111111
[[1,3,4,5,6,7,8],[2,9]] => 10000001 => 10000001
[[1,3,4,5,6,7,8],[2],[9]] => 10000001 => 10000001
[[1,3,4,5,6,7],[2,8,9]] => 10000010 => 01000001
[[1,3,4,5,6,7],[2,9],[8]] => 10000010 => 01000001
[[1,3,4,5,6,7],[2],[8],[9]] => 10000011 => 11000001
[[1,3,4,5,6],[2,7,8,9]] => 10000100 => 00100001
[[1,3,4,5,6],[2,8,9],[7]] => 10000100 => 00100001
[[1,3,4,5,6],[2,8],[7,9]] => 10000101 => 10100001
[[1,3,4,5,6],[2,8],[7],[9]] => 10000101 => 10100001
[[1,3,4,5,6],[2],[7],[8],[9]] => 10000111 => 11100001
[[1,3,4,5],[2,7,8],[6,9]] => 10001001 => 10010001
[[1,3,4,5],[2,7,8],[6],[9]] => 10001001 => 10010001
[[1,3,4,5],[2,7],[6,9],[8]] => 10001010 => 01010001
[[1,3,4,5],[2,7],[6],[8],[9]] => 10001011 => 11010001
[[1,3,4,5],[2],[6],[7],[8],[9]] => 10001111 => 11110001
[[1,3,4],[2,6,7],[5,8,9]] => 10010010 => 01001001
[[1,3,4],[2,6,7],[5,9],[8]] => 10010010 => 01001001
[[1,3,4],[2,6,7],[5],[8],[9]] => 10010011 => 11001001
[[1,3,4],[2,6],[5,8],[7,9]] => 10010101 => 10101001
[[1,3,4],[2,6],[5,8],[7],[9]] => 10010101 => 10101001
[[1,3,4],[2,6],[5],[7],[8],[9]] => 10010111 => 11101001
[[1,3,4],[2],[5],[6],[7],[8],[9]] => 10011111 => 11111001
[[1,3],[2,5],[4,7],[6],[8],[9]] => 10101011 => 11010101
[[1,3],[2,5],[4],[6],[7],[8],[9]] => 10101111 => 11110101
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => 10111111 => 11111101
[[1,3,4,5,6,7,8,9],[2,10]] => 100000001 => 100000001
[[1,3,4,5,6,7,8,9],[2],[10]] => 100000001 => 100000001
[[1,3,4,5,6,7,8],[2,9,10]] => 100000010 => 010000001
[[1,3,4,5,6,7,8],[2,10],[9]] => 100000010 => 010000001
[[1,3,4,5,6,7,8],[2],[9],[10]] => 100000011 => 110000001
[[1,3,4,5,6,7],[2,8,9,10]] => 100000100 => 001000001
[[1,3,4,5,6,7],[2,9,10],[8]] => 100000100 => 001000001
[[1,3,4,5,6,7],[2,9],[8,10]] => 100000101 => 101000001
[[1,3,4,5,6,7],[2,9],[8],[10]] => 100000101 => 101000001
[[1,3,4,5,6,7],[2],[8],[9],[10]] => 100000111 => 111000001
[[1,3,4,5,6],[2,8,9,10],[7]] => 100001000 => 000100001
[[1,3,4,5,6],[2,8,9],[7,10]] => 100001001 => 100100001
[[1,3,4,5,6],[2,8,9],[7],[10]] => 100001001 => 100100001
[[1,3,4,5,6],[2,8],[7,10],[9]] => 100001010 => 010100001
[[1,3,4,5,6],[2,8],[7],[9],[10]] => 100001011 => 110100001
[[1,3,4,5,6],[2],[7],[8],[9],[10]] => 100001111 => 111100001
[[1,3,4,5],[2,7,8,9],[6,10]] => 100010001 => 100010001
[[1,3,4,5],[2,7,8,9],[6],[10]] => 100010001 => 100010001
[[1,3,4,5],[2,7,8],[6,9,10]] => 100010010 => 010010001
[[1,3,4,5],[2,7,8],[6,10],[9]] => 100010010 => 010010001
[[1,3,4,5],[2,7,8],[6],[9],[10]] => 100010011 => 110010001
[[1,3,4,5],[2,7],[6,9],[8,10]] => 100010101 => 101010001
[[1,3,4,5],[2,7],[6,9],[8],[10]] => 100010101 => 101010001
[[1,3,4,5],[2,7],[6],[8],[9],[10]] => 100010111 => 111010001
[[1,3,4,5],[2],[6],[7],[8],[9],[10]] => 100011111 => 111110001
[[1,3,4],[2,6,7],[5,9],[8,10]] => 100100101 => 101001001
[[1,3,4],[2,6,7],[5,9],[8],[10]] => 100100101 => 101001001
[[1,3,4],[2,6,7],[5],[8],[9],[10]] => 100100111 => 111001001
[[1,3,4],[2,6],[5,8],[7,10],[9]] => 100101010 => 010101001
[[1,3,4],[2,6],[5,8],[7],[9],[10]] => 100101011 => 110101001
[[1,3,4],[2,6],[5],[7],[8],[9],[10]] => 100101111 => 111101001
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]] => 100111111 => 111111001
[[1,3],[2,5],[4,7],[6],[8],[9],[10]] => 101010111 => 111010101
[[1,3],[2,5],[4],[6],[7],[8],[9],[10]] => 101011111 => 111110101
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => 101111111 => 111111101
[[1,2,4,6,8,10],[3,5,7,9]] => 010101010 => 010101010
[[1,2,4,6,8,9,10],[3,5,7]] => 010101000 => 000101010
[[1,2,4,6,7,8,10],[3,5,9]] => 010100010 => 010001010
[[1,2,4,6,7,9,10],[3,5,8]] => 010100100 => 001001010
[[1,2,4,6,7,8,9,10],[3,5]] => 010100000 => 000001010
[[1,2,4,5,6,8,10],[3,7,9]] => 010001010 => 010100010
[[1,2,4,5,6,9,10],[3,7,8]] => 010001000 => 000100010
[[1,2,4,5,7,8,10],[3,6,9]] => 010010010 => 010010010
[[1,2,4,5,7,9,10],[3,6,8]] => 010010100 => 001010010
[[1,2,4,5,7,8,9,10],[3,6]] => 010010000 => 000010010
[[1,2,4,5,6,7,8,10],[3,9]] => 010000010 => 010000010
[[1,2,4,5,6,7,9,10],[3,8]] => 010000100 => 001000010
[[1,2,4,5,6,8,9,10],[3,7]] => 010001000 => 000100010
[[1,2,3,4,6,8,10],[5,7,9]] => 000101010 => 010101000
[[1,2,3,4,6,9,10],[5,7,8]] => 000101000 => 000101000
[[1,2,3,4,7,8,10],[5,6,9]] => 000100010 => 010001000
[[1,2,3,4,7,9,10],[5,6,8]] => 000100100 => 001001000
[[1,2,3,4,7,8,9,10],[5,6]] => 000100000 => 000001000
[[1,2,3,5,6,8,10],[4,7,9]] => 001001010 => 010100100
[[1,2,3,5,6,9,10],[4,7,8]] => 001001000 => 000100100
[[1,2,3,5,7,8,10],[4,6,9]] => 001010010 => 010010100
[[1,2,3,5,7,9,10],[4,6,8]] => 001010100 => 001010100
[[1,2,3,5,7,8,9,10],[4,6]] => 001010000 => 000010100
[[1,2,3,5,6,7,8,10],[4,9]] => 001000010 => 010000100
[[1,2,3,5,6,7,9,10],[4,8]] => 001000100 => 001000100
[[1,2,3,5,6,8,9,10],[4,7]] => 001001000 => 000100100
[[1,2,3,5,6,7,8,9,10],[4]] => 001000000 => 000000100
[[1,2,3,4,5,6,8,10],[7,9]] => 000001010 => 010100000
[[1,2,3,4,5,6,9,10],[7,8]] => 000001000 => 000100000
[[1,2,3,4,5,7,8,10],[6,9]] => 000010010 => 010010000
[[1,2,3,4,5,7,9,10],[6,8]] => 000010100 => 001010000
[[1,2,3,4,5,8,9,10],[6,7]] => 000010000 => 000010000
[[1,2,3,4,6,7,8,10],[5,9]] => 000100010 => 010001000
[[1,2,3,4,6,7,9,10],[5,8]] => 000100100 => 001001000
[[1,2,3,4,6,8,9,10],[5,7]] => 000101000 => 000101000
[[1,2,3,4,6,7,8,9,10],[5]] => 000100000 => 000001000
[[1,2,3,4,5,6,7,9,10],[8]] => 000000100 => 001000000
[[1,2,3,4,5,6,8,9,10],[7]] => 000001000 => 000100000
[[1,2,3,4,5,7,8,9,10],[6]] => 000010000 => 000010000
[[1,2,4,6,8,10,12],[3,5,7,9,11]] => 01010101010 => 01010101010
[[1,2,4,6,8,10,11,12],[3,5,7,9]] => 01010101000 => 00010101010
[[1,2,4,6,8,9,10,12],[3,5,7,11]] => 01010100010 => 01000101010
[[1,2,4,6,8,9,11,12],[3,5,7,10]] => 01010100100 => 00100101010
[[1,2,4,6,8,9,10,11,12],[3,5,7]] => 01010100000 => 00000101010
[[1,2,4,6,7,8,10,12],[3,5,9,11]] => 01010001010 => 01010001010
[[1,2,4,6,7,8,11,12],[3,5,9,10]] => 01010001000 => 00010001010
[[1,2,4,6,7,9,10,12],[3,5,8,11]] => 01010010010 => 01001001010
[[1,2,4,6,7,9,11,12],[3,5,8,10]] => 01010010100 => 00101001010
[[1,2,4,6,7,9,10,11,12],[3,5,8]] => 01010010000 => 00001001010
[[1,2,4,6,7,8,9,10,12],[3,5,11]] => 01010000010 => 01000001010
[[1,2,4,6,7,8,9,11,12],[3,5,10]] => 01010000100 => 00100001010
[[1,2,4,6,7,8,10,11,12],[3,5,9]] => 01010001000 => 00010001010
[[1,2,4,6,7,8,9,10,11,12],[3,5]] => 01010000000 => 00000001010
[[1,2,4,5,6,8,10,12],[3,7,9,11]] => 01000101010 => 01010100010
[[1,2,4,5,6,8,11,12],[3,7,9,10]] => 01000101000 => 00010100010
[[1,2,4,5,6,9,10,12],[3,7,8,11]] => 01000100010 => 01000100010
[[1,2,4,5,6,9,11,12],[3,7,8,10]] => 01000100100 => 00100100010
[[1,2,4,5,6,9,10,11,12],[3,7,8]] => 01000100000 => 00000100010
[[1,2,4,5,7,8,10,12],[3,6,9,11]] => 01001001010 => 01010010010
[[1,2,4,5,7,8,11,12],[3,6,9,10]] => 01001001000 => 00010010010
[[1,2,4,5,7,9,10,12],[3,6,8,11]] => 01001010010 => 01001010010
[[1,2,4,5,7,9,11,12],[3,6,8,10]] => 01001010100 => 00101010010
[[1,2,4,5,7,9,10,11,12],[3,6,8]] => 01001010000 => 00001010010
[[1,2,4,5,7,8,9,10,12],[3,6,11]] => 01001000010 => 01000010010
[[1,2,4,5,7,8,9,11,12],[3,6,10]] => 01001000100 => 00100010010
[[1,2,4,5,7,8,10,11,12],[3,6,9]] => 01001001000 => 00010010010
[[1,2,4,5,7,8,9,10,11,12],[3,6]] => 01001000000 => 00000010010
[[1,2,4,5,6,7,8,10,12],[3,9,11]] => 01000001010 => 01010000010
[[1,2,4,5,6,7,8,11,12],[3,9,10]] => 01000001000 => 00010000010
[[1,2,4,5,6,7,9,10,12],[3,8,11]] => 01000010010 => 01001000010
[[1,2,4,5,6,7,9,11,12],[3,8,10]] => 01000010100 => 00101000010
[[1,2,4,5,6,7,10,11,12],[3,8,9]] => 01000010000 => 00001000010
[[1,2,4,5,6,8,9,10,12],[3,7,11]] => 01000100010 => 01000100010
[[1,2,4,5,6,8,9,11,12],[3,7,10]] => 01000100100 => 00100100010
[[1,2,4,5,6,8,10,11,12],[3,7,9]] => 01000101000 => 00010100010
[[1,2,4,5,6,8,9,10,11,12],[3,7]] => 01000100000 => 00000100010
[[1,2,4,5,6,7,8,9,10,12],[3,11]] => 01000000010 => 01000000010
[[1,2,4,5,6,7,8,9,11,12],[3,10]] => 01000000100 => 00100000010
[[1,2,4,5,6,7,8,10,11,12],[3,9]] => 01000001000 => 00010000010
[[1,2,4,5,6,7,9,10,11,12],[3,8]] => 01000010000 => 00001000010
[[1,2,4,5,6,7,8,9,10,11,12],[3]] => 01000000000 => 00000000010
[[1,2,3,4,6,8,10,12],[5,7,9,11]] => 00010101010 => 01010101000
[[1,2,3,4,6,8,11,12],[5,7,9,10]] => 00010101000 => 00010101000
[[1,2,3,4,6,9,10,12],[5,7,8,11]] => 00010100010 => 01000101000
[[1,2,3,4,6,9,11,12],[5,7,8,10]] => 00010100100 => 00100101000
[[1,2,3,4,6,9,10,11,12],[5,7,8]] => 00010100000 => 00000101000
[[1,2,3,4,7,8,10,12],[5,6,9,11]] => 00010001010 => 01010001000
[[1,2,3,4,7,8,11,12],[5,6,9,10]] => 00010001000 => 00010001000
[[1,2,3,4,7,9,10,12],[5,6,8,11]] => 00010010010 => 01001001000
[[1,2,3,4,7,9,11,12],[5,6,8,10]] => 00010010100 => 00101001000
[[1,2,3,4,7,9,10,11,12],[5,6,8]] => 00010010000 => 00001001000
[[1,2,3,4,7,8,9,10,12],[5,6,11]] => 00010000010 => 01000001000
[[1,2,3,4,7,8,9,11,12],[5,6,10]] => 00010000100 => 00100001000
[[1,2,3,4,7,8,10,11,12],[5,6,9]] => 00010001000 => 00010001000
[[1,2,3,4,7,8,9,10,11,12],[5,6]] => 00010000000 => 00000001000
[[1,2,3,5,6,8,10,12],[4,7,9,11]] => 00100101010 => 01010100100
[[1,2,3,5,6,8,11,12],[4,7,9,10]] => 00100101000 => 00010100100
[[1,2,3,5,6,9,10,12],[4,7,8,11]] => 00100100010 => 01000100100
[[1,2,3,5,6,9,11,12],[4,7,8,10]] => 00100100100 => 00100100100
[[1,2,3,5,6,9,10,11,12],[4,7,8]] => 00100100000 => 00000100100
[[1,2,3,5,7,8,10,12],[4,6,9,11]] => 00101001010 => 01010010100
[[1,2,3,5,7,8,11,12],[4,6,9,10]] => 00101001000 => 00010010100
[[1,2,3,5,7,9,10,12],[4,6,8,11]] => 00101010010 => 01001010100
[[1,2,3,5,7,9,11,12],[4,6,8,10]] => 00101010100 => 00101010100
[[1,2,3,5,7,9,10,11,12],[4,6,8]] => 00101010000 => 00001010100
[[1,2,3,5,7,8,9,10,12],[4,6,11]] => 00101000010 => 01000010100
[[1,2,3,5,7,8,9,11,12],[4,6,10]] => 00101000100 => 00100010100
[[1,2,3,5,7,8,10,11,12],[4,6,9]] => 00101001000 => 00010010100
[[1,2,3,5,7,8,9,10,11,12],[4,6]] => 00101000000 => 00000010100
[[1,2,3,5,6,7,8,10,12],[4,9,11]] => 00100001010 => 01010000100
[[1,2,3,5,6,7,8,11,12],[4,9,10]] => 00100001000 => 00010000100
[[1,2,3,5,6,7,9,10,12],[4,8,11]] => 00100010010 => 01001000100
[[1,2,3,5,6,7,9,11,12],[4,8,10]] => 00100010100 => 00101000100
[[1,2,3,5,6,7,10,11,12],[4,8,9]] => 00100010000 => 00001000100
[[1,2,3,5,6,8,9,10,12],[4,7,11]] => 00100100010 => 01000100100
[[1,2,3,5,6,8,9,11,12],[4,7,10]] => 00100100100 => 00100100100
[[1,2,3,5,6,8,10,11,12],[4,7,9]] => 00100101000 => 00010100100
[[1,2,3,5,6,8,9,10,11,12],[4,7]] => 00100100000 => 00000100100
[[1,2,3,5,6,7,8,9,10,12],[4,11]] => 00100000010 => 01000000100
[[1,2,3,5,6,7,8,9,11,12],[4,10]] => 00100000100 => 00100000100
[[1,2,3,5,6,7,8,10,11,12],[4,9]] => 00100001000 => 00010000100
[[1,2,3,5,6,7,9,10,11,12],[4,8]] => 00100010000 => 00001000100
[[1,2,3,5,6,7,8,9,10,11,12],[4]] => 00100000000 => 00000000100
[[1,2,3,4,5,6,8,10,12],[7,9,11]] => 00000101010 => 01010100000
[[1,2,3,4,5,6,8,11,12],[7,9,10]] => 00000101000 => 00010100000
[[1,2,3,4,5,6,9,10,12],[7,8,11]] => 00000100010 => 01000100000
[[1,2,3,4,5,6,9,11,12],[7,8,10]] => 00000100100 => 00100100000
[[1,2,3,4,5,6,10,11,12],[7,8,9]] => 00000100000 => 00000100000
[[1,2,3,4,5,7,8,10,12],[6,9,11]] => 00001001010 => 01010010000
[[1,2,3,4,5,7,8,11,12],[6,9,10]] => 00001001000 => 00010010000
[[1,2,3,4,5,7,9,10,12],[6,8,11]] => 00001010010 => 01001010000
[[1,2,3,4,5,7,9,11,12],[6,8,10]] => 00001010100 => 00101010000
[[1,2,3,4,5,7,10,11,12],[6,8,9]] => 00001010000 => 00001010000
[[1,2,3,4,5,8,9,10,12],[6,7,11]] => 00001000010 => 01000010000
[[1,2,3,4,5,8,9,11,12],[6,7,10]] => 00001000100 => 00100010000
[[1,2,3,4,5,8,10,11,12],[6,7,9]] => 00001001000 => 00010010000
[[1,2,3,4,5,8,9,10,11,12],[6,7]] => 00001000000 => 00000010000
[[1,2,3,4,6,7,8,10,12],[5,9,11]] => 00010001010 => 01010001000
[[1,2,3,4,6,7,8,11,12],[5,9,10]] => 00010001000 => 00010001000
[[1,2,3,4,6,7,9,10,12],[5,8,11]] => 00010010010 => 01001001000
[[1,2,3,4,6,7,9,11,12],[5,8,10]] => 00010010100 => 00101001000
[[1,2,3,4,6,7,10,11,12],[5,8,9]] => 00010010000 => 00001001000
[[1,2,3,4,6,8,9,10,12],[5,7,11]] => 00010100010 => 01000101000
[[1,2,3,4,6,8,9,11,12],[5,7,10]] => 00010100100 => 00100101000
[[1,2,3,4,6,8,10,11,12],[5,7,9]] => 00010101000 => 00010101000
[[1,2,3,4,6,8,9,10,11,12],[5,7]] => 00010100000 => 00000101000
[[1,2,3,4,6,7,8,9,10,12],[5,11]] => 00010000010 => 01000001000
[[1,2,3,4,6,7,8,9,11,12],[5,10]] => 00010000100 => 00100001000
[[1,2,3,4,6,7,8,10,11,12],[5,9]] => 00010001000 => 00010001000
[[1,2,3,4,6,7,9,10,11,12],[5,8]] => 00010010000 => 00001001000
[[1,2,3,4,6,7,8,9,10,11,12],[5]] => 00010000000 => 00000001000
[[1,2,3,4,5,6,7,8,10,12],[9,11]] => 00000001010 => 01010000000
[[1,2,3,4,5,6,7,8,11,12],[9,10]] => 00000001000 => 00010000000
[[1,2,3,4,5,6,7,9,10,12],[8,11]] => 00000010010 => 01001000000
[[1,2,3,4,5,6,7,9,11,12],[8,10]] => 00000010100 => 00101000000
[[1,2,3,4,5,6,7,10,11,12],[8,9]] => 00000010000 => 00001000000
[[1,2,3,4,5,6,8,9,10,12],[7,11]] => 00000100010 => 01000100000
[[1,2,3,4,5,6,8,9,11,12],[7,10]] => 00000100100 => 00100100000
[[1,2,3,4,5,6,8,10,11,12],[7,9]] => 00000101000 => 00010100000
[[1,2,3,4,5,6,9,10,11,12],[7,8]] => 00000100000 => 00000100000
[[1,2,3,4,5,7,8,9,10,12],[6,11]] => 00001000010 => 01000010000
[[1,2,3,4,5,7,8,9,11,12],[6,10]] => 00001000100 => 00100010000
[[1,2,3,4,5,7,8,10,11,12],[6,9]] => 00001001000 => 00010010000
[[1,2,3,4,5,7,9,10,11,12],[6,8]] => 00001010000 => 00001010000
[[1,2,3,4,5,7,8,9,10,11,12],[6]] => 00001000000 => 00000010000
[[1,2,3,4,5,6,7,8,9,10,12],[11]] => 00000000010 => 01000000000
[[1,2,3,4,5,6,7,8,9,11,12],[10]] => 00000000100 => 00100000000
[[1,2,3,4,5,6,7,8,10,11,12],[9]] => 00000001000 => 00010000000
[[1,2,3,4,5,6,7,9,10,11,12],[8]] => 00000010000 => 00001000000
[[1,2,3,4,5,6,8,9,10,11,12],[7]] => 00000100000 => 00000100000
[[1,2,5,6,7,8],[3,4,9]] => 01000001 => 10000010
[[1,2,5,6,7,8],[3,4],[9]] => 01000001 => 10000010
[[1,4,5,6,7,8],[2],[3],[9]] => 11000001 => 10000011
[[1,2,3,7,8],[4,5,6,9]] => 00100001 => 10000100
[[1,2,3,7,8],[4,5,6],[9]] => 00100001 => 10000100
[[1,3,6,7,8],[2,5],[4,9]] => 10100001 => 10000101
[[1,3,6,7,8],[2,5],[4],[9]] => 10100001 => 10000101
[[1,5,6,7,8],[2],[3],[4],[9]] => 11100001 => 10000111
[[1,3,4,8],[2,6,7],[5,9]] => 10010001 => 10001001
[[1,3,4,8],[2,6,7],[5],[9]] => 10010001 => 10001001
[[1,2,7,8],[3,4],[5,6],[9]] => 01010001 => 10001010
[[1,4,7,8],[2,6],[3],[5],[9]] => 11010001 => 10001011
[[1,6,7,8],[2],[3],[4],[5],[9]] => 11110001 => 10001111
[[1,2,5],[3,4,8],[6,7],[9]] => 01001001 => 10010010
[[1,4,5],[2,7,8],[3],[6],[9]] => 11001001 => 10010011
[[1,3,8],[2,5],[4,7],[6,9]] => 10101001 => 10010101
[[1,3,8],[2,5],[4,7],[6],[9]] => 10101001 => 10010101
[[1,5,8],[2,7],[3],[4],[6],[9]] => 11101001 => 10010111
[[1,7,8],[2],[3],[4],[5],[6],[9]] => 11111001 => 10011111
[[1,2,5,6,7,8,9],[3,4,10]] => 010000001 => 100000010
[[1,2,5,6,7,8,9],[3,4],[10]] => 010000001 => 100000010
[[1,4,5,6,7,8,9],[2],[3],[10]] => 110000001 => 100000011
[[1,2,3,7,8,9],[4,5,6,10]] => 001000001 => 100000100
[[1,2,3,7,8,9],[4,5,6],[10]] => 001000001 => 100000100
[[1,3,6,7,8,9],[2,5],[4,10]] => 101000001 => 100000101
[[1,3,6,7,8,9],[2,5],[4],[10]] => 101000001 => 100000101
[[1,5,6,7,8,9],[2],[3],[4],[10]] => 111000001 => 100000111
[[1,2,3,4,9],[5,6,7,8],[10]] => 000100001 => 100001000
[[1,3,4,8,9],[2,6,7],[5,10]] => 100100001 => 100001001
[[1,3,4,8,9],[2,6,7],[5],[10]] => 100100001 => 100001001
[[1,2,7,8,9],[3,4],[5,6],[10]] => 010100001 => 100001010
[[1,4,7,8,9],[2,6],[3],[5],[10]] => 110100001 => 100001011
[[1,6,7,8,9],[2],[3],[4],[5],[10]] => 111100001 => 100001111
[[1,2,5,9],[3,4,8],[6,7,10]] => 010010001 => 100010010
[[1,2,5,9],[3,4,8],[6,7],[10]] => 010010001 => 100010010
[[1,4,5,9],[2,7,8],[3],[6],[10]] => 110010001 => 100010011
[[1,3,8,9],[2,5],[4,7],[6,10]] => 101010001 => 100010101
[[1,3,8,9],[2,5],[4,7],[6],[10]] => 101010001 => 100010101
[[1,5,8,9],[2,7],[3],[4],[6],[10]] => 111010001 => 100010111
[[1,7,8,9],[2],[3],[4],[5],[6],[10]] => 111110001 => 100011111
[[1,3,6],[2,5,9],[4,8],[7,10]] => 101001001 => 100100101
[[1,3,6],[2,5,9],[4,8],[7],[10]] => 101001001 => 100100101
[[1,5,6],[2,8,9],[3],[4],[7],[10]] => 111001001 => 100100111
[[1,2,9],[3,4],[5,6],[7,8],[10]] => 010101001 => 100101010
[[1,4,9],[2,6],[3,8],[5],[7],[10]] => 110101001 => 100101011
[[1,6,9],[2,8],[3],[4],[5],[7],[10]] => 111101001 => 100101111
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => 111111001 => 100111111
[[1,2,3,6,7,8,9],[4,5]] => 00100000 => 00000100
[[1,2,5,6,7,8,9],[3],[4]] => 01100000 => 00000110
[[1,2,3,4,8,9],[5,6,7]] => 00010000 => 00001000
[[1,2,4,7,8,9],[3,6],[5]] => 01010000 => 00001010
[[1,2,6,7,8,9],[3],[4],[5]] => 01110000 => 00001110
[[1,2,4,5,9],[3,7,8],[6]] => 01001000 => 00010010
[[1,2,3,8,9],[4,5],[6,7]] => 00101000 => 00010100
[[1,2,5,8,9],[3,7],[4],[6]] => 01101000 => 00010110
[[1,2,7,8,9],[3],[4],[5],[6]] => 01111000 => 00011110
[[1,2,5,6],[3,4,8,9],[7]] => 01000100 => 00100010
[[1,2,3,6],[4,5,9],[7,8]] => 00100100 => 00100100
[[1,2,5,6],[3,8,9],[4],[7]] => 01100100 => 00100110
[[1,2,4,9],[3,6],[5,8],[7]] => 01010100 => 00101010
[[1,2,6,9],[3,8],[4],[5],[7]] => 01110100 => 00101110
[[1,2,8,9],[3],[4],[5],[6],[7]] => 01111100 => 00111110
[[1,2,4],[3,6,7],[5,9],[8]] => 01010010 => 01001010
[[1,2,7],[3,6,9],[4],[5],[8]] => 01110010 => 01001110
[[1,2,5],[3,7],[4,9],[6],[8]] => 01101010 => 01010110
[[1,2,7],[3,9],[4],[5],[6],[8]] => 01111010 => 01011110
[[1,2],[3,6],[4,8],[5],[7],[9]] => 01110101 => 10101110
[[1,2],[3,8],[4],[5],[6],[7],[9]] => 01111101 => 10111110
[[1,2,3,6,7,8,9,10],[4,5]] => 001000000 => 000000100
[[1,2,5,6,7,8,9,10],[3],[4]] => 011000000 => 000000110
[[1,2,3,4,8,9,10],[5,6,7]] => 000100000 => 000001000
[[1,2,4,7,8,9,10],[3,6],[5]] => 010100000 => 000001010
[[1,2,6,7,8,9,10],[3],[4],[5]] => 011100000 => 000001110
[[1,2,4,5,9,10],[3,7,8],[6]] => 010010000 => 000010010
[[1,2,3,8,9,10],[4,5],[6,7]] => 001010000 => 000010100
[[1,2,5,8,9,10],[3,7],[4],[6]] => 011010000 => 000010110
[[1,2,7,8,9,10],[3],[4],[5],[6]] => 011110000 => 000011110
[[1,2,4,5,6],[3,8,9,10],[7]] => 010001000 => 000100010
[[1,2,3,6,10],[4,5,9],[7,8]] => 001001000 => 000100100
[[1,2,5,6,10],[3,8,9],[4],[7]] => 011001000 => 000100110
[[1,2,4,9,10],[3,6],[5,8],[7]] => 010101000 => 000101010
[[1,2,6,9,10],[3,8],[4],[5],[7]] => 011101000 => 000101110
[[1,2,8,9,10],[3],[4],[5],[6],[7]] => 011111000 => 000111110
[[1,2,6,7],[3,5,9,10],[4],[8]] => 011000100 => 001000110
[[1,2,4,7],[3,6,10],[5,9],[8]] => 010100100 => 001001010
[[1,2,6,7],[3,9,10],[4],[5],[8]] => 011100100 => 001001110
[[1,2,5,10],[3,7],[4,9],[6],[8]] => 011010100 => 001010110
[[1,2,7,10],[3,9],[4],[5],[6],[8]] => 011110100 => 001011110
[[1,2,9,10],[3],[4],[5],[6],[7],[8]] => 011111100 => 001111110
[[1,2,3],[4,5,8],[6,7],[9,10]] => 001010010 => 010010100
[[1,2,5],[3,7,8],[4,10],[6],[9]] => 011010010 => 010010110
[[1,2,8],[3,7,10],[4],[5],[6],[9]] => 011110010 => 010011110
[[1,2,4],[3,6],[5,8],[7,10],[9]] => 010101010 => 010101010
[[1,2,6],[3,8],[4,10],[5],[7],[9]] => 011101010 => 010101110
[[1,2,8],[3,10],[4],[5],[6],[7],[9]] => 011111010 => 010111110
[[1,2],[3,5],[4,7],[6,9],[8],[10]] => 011010101 => 101010110
[[1,2],[3,7],[4,9],[5],[6],[8],[10]] => 011110101 => 101011110
[[1,2],[3,9],[4],[5],[6],[7],[8],[10]] => 011111101 => 101111110
[[1,2,3,4,7,8,9],[5,6]] => 00010000 => 00001000
[[1,2,4,5,8,9],[3,7],[6]] => 01001000 => 00010010
[[1,2,4,5,6,7],[3,9],[8]] => 01000010 => 01000010
[[1,2,5,6,9],[3,8],[4],[7]] => 01100100 => 00100110
[[1,2,3,4,7,8],[5,6],[9]] => 00010001 => 10001000
[[1,2,5,6,7,8],[3],[4],[9]] => 01100001 => 10000110
[[1,2,4,5],[3,7],[6,9],[8]] => 01001010 => 01010010
[[1,2,6,7],[3,9],[4],[5],[8]] => 01110010 => 01001110
[[1,2,5,6],[3,8],[4],[7],[9]] => 01100101 => 10100110
[[1,2,7,8],[3],[4],[5],[6],[9]] => 01111001 => 10011110
[[1,2,4,5,8,9,10],[3,7],[6]] => 010010000 => 000010010
[[1,2,4,5,6,7],[3,9,10],[8]] => 010000100 => 001000010
[[1,2,3,4,9,10],[5,6],[7,8]] => 000101000 => 000101000
[[1,2,5,6,9,10],[3,8],[4],[7]] => 011001000 => 000100110
[[1,2,4,5,6,7,8,9],[3],[10]] => 010000001 => 100000010
[[1,2,3,4,7,8],[5,6],[9,10]] => 000100010 => 010001000
[[1,2,5,6,7,8],[3,10],[4],[9]] => 011000010 => 010000110
[[1,2,4,5,10],[3,7],[6,9],[8]] => 010010100 => 001010010
[[1,2,6,7,10],[3,9],[4],[5],[8]] => 011100100 => 001001110
[[1,2,4,5,8,9],[3,7],[6],[10]] => 010010001 => 100010010
[[1,2,6,7,8,9],[3],[4],[5],[10]] => 011100001 => 100001110
[[1,2,5,6],[3,8],[4,10],[7],[9]] => 011001010 => 010100110
[[1,2,7,8],[3,10],[4],[5],[6],[9]] => 011110010 => 010011110
[[1,2,4,5],[3,7],[6,9],[8],[10]] => 010010101 => 101010010
[[1,2,6,7],[3,9],[4],[5],[8],[10]] => 011100101 => 101001110
[[1,2,8,9],[3],[4],[5],[6],[7],[10]] => 011111001 => 100111110
[[1,6,9,11],[2,7,10],[3,8],[4],[5]] => 1111011010 => 0101101111
[[1,6,10],[2,7,11],[3,8],[4,9],[5]] => 1111011101 => 1011101111
[[1,5,9,11],[2,6,10],[3,7],[4,8]] => 1110111010 => 0101110111
[[1,6,10,12],[2,7,11],[3,8],[4,9],[5]] => 11110111010 => 01011101111
[[1,5,9],[2,6,10],[3,7,11],[4,8]] => 1110111011 => 1101110111
[[1,6,10],[2,7,11],[3,8,12],[4,9],[5]] => 11110111011 => 11011101111
[[1,5,9,12],[2,6,10],[3,7,11],[4,8]] => 11101110110 => 01101110111
[[1,5,8,11],[2,6,9],[3,7,10],[4]] => 1110110110 => 0110110111
[[1,6,10,13],[2,7,11],[3,8,12],[4,9],[5]] => 111101110110 => 011011101111
[[1,4,7,10],[2,5,8,11],[3,6,9]] => 1101101101 => 1011011011
[[1,5,9,12],[2,6,10,13],[3,7,11],[4,8]] => 111011101101 => 101101110111
[[1,5,8,11],[2,6,9,12],[3,7,10],[4]] => 11101101101 => 10110110111
[[1,5,8,10],[2,6,9,11],[3,7],[4]] => 1110110101 => 1010110111
[[1,4,7,10,12],[2,5,8,11],[3,6,9]] => 11011011010 => 01011011011
[[1,4,7,9,11],[2,5,8,10],[3,6]] => 1101101010 => 0101011011
[[1,5,8,11,13],[2,6,9,12],[3,7,10],[4]] => 111011011010 => 010110110111
[[1,5,8,10,12],[2,6,9,11],[3,7],[4]] => 11101101010 => 01010110111
[[1,5,8,10,11],[2,6,9],[3,7],[4]] => 1110110100 => 0010110111
[[1,7,11],[2,8,12],[3,9],[4,10],[5],[6]] => 11111011101 => 10111011111
[[1,4,7,9,11,12],[2,5,8,10],[3,6]] => 11011010100 => 00101011011
[[1,5,9,11,13],[2,6,10,12],[3,7],[4,8]] => 111011101010 => 010101110111
[[1,6,9,11,13],[2,7,10,12],[3,8],[4],[5]] => 111101101010 => 010101101111
[[1,6,8,10,12],[2,7,9,11],[3],[4],[5]] => 11110101010 => 01010101111
[[1,5,7,9,11],[2,6,8,10],[3],[4]] => 1110101010 => 0101010111
[[1,5,9,12,13],[2,6,10],[3,7,11],[4,8]] => 111011101100 => 001101110111
[[1,6,9,12,13],[2,7,10],[3,8,11],[4],[5]] => 111101101100 => 001101101111
[[1,5,8,11,12],[2,6,9],[3,7,10],[4]] => 11101101100 => 00110110111
[[1,4,7,10,11],[2,5,8],[3,6,9]] => 1101101100 => 0011011011
[[1,6,10,12,13],[2,7,11],[3,8],[4,9],[5]] => 111101110100 => 001011101111
[[1,5,9,11,12],[2,6,10],[3,7],[4,8]] => 11101110100 => 00101110111
[[1,6,9,11,12],[2,7,10],[3,8],[4],[5]] => 11110110100 => 00101101111
[[1,6,8,10,11],[2,7,9],[3],[4],[5]] => 1111010100 => 0010101111
[[1,6,10,11,12],[2,7],[3,8],[4,9],[5]] => 11110111000 => 00011101111
[[1,5,9,10,11],[2,6],[3,7],[4,8]] => 1110111000 => 0001110111
[[1,6,9,10,11],[2,7],[3,8],[4],[5]] => 1111011000 => 0001101111
[[1,6,9,12],[2,7,10,13],[3,8,11],[4],[5]] => 111101101101 => 101101101111
[[1,6,10,12],[2,7,11,13],[3,8],[4,9],[5]] => 111101110101 => 101011101111
[[1,5,9,11],[2,6,10,12],[3,7],[4,8]] => 11101110101 => 10101110111
[[1,6,9,11],[2,7,10,12],[3,8],[4],[5]] => 11110110101 => 10101101111
[[1,6,8,10],[2,7,9,11],[3],[4],[5]] => 1111010101 => 1010101111
[[1,6,9,12],[2,7,10],[3,8,11],[4],[5]] => 11110110110 => 01101101111
[[1,6,10,11],[2,7],[3,8],[4,9],[5]] => 1111011100 => 0011101111
[[1,6,9],[2,7,10],[3,8,11],[4],[5]] => 1111011011 => 1101101111
[[1,3],[2,5],[4,9],[6],[7],[8],[10]] => 101011101 => 101110101
[[1,3],[2,5],[4,8],[6],[7],[9],[10]] => 101011011 => 110110101
[[1,3],[2,7],[4,9],[5],[6],[8],[10]] => 101110101 => 101011101
[[1,3],[2,7],[4,8],[5],[6],[9],[10]] => 101110111 => 111011101
[[1,3],[2,6],[4,9],[5],[7],[8],[10]] => 101101101 => 101101101
[[1,3],[2,6],[4,8],[5],[7],[9],[10]] => 101101011 => 110101101
[[1,3],[2,6],[4],[5],[7],[8],[9],[10]] => 101101111 => 111101101
[[1,3],[2,9],[4],[5],[6],[7],[8],[10]] => 101111101 => 101111101
[[1,3],[2,8],[4],[5],[6],[7],[9],[10]] => 101111011 => 110111101
[[1,3],[2,7],[4],[5],[6],[8],[9],[10]] => 101110111 => 111011101
[[1,5],[2,7],[3,8],[4],[6],[9],[10]] => 111010111 => 111010111
[[1,5],[2,6],[3,9],[4],[7],[8],[10]] => 111011101 => 101110111
[[1,5],[2,6],[3,8],[4],[7],[9],[10]] => 111011011 => 110110111
[[1,5],[2,6],[3],[4],[7],[8],[9],[10]] => 111011111 => 111110111
[[1,4],[2,7],[3,9],[5],[6],[8],[10]] => 110110101 => 101011011
[[1,4],[2,7],[3,8],[5],[6],[9],[10]] => 110110111 => 111011011
[[1,4],[2,6],[3,9],[5],[7],[8],[10]] => 110101101 => 101101011
[[1,4],[2,6],[3,8],[5],[7],[9],[10]] => 110101011 => 110101011
[[1,4],[2,6],[3],[5],[7],[8],[9],[10]] => 110101111 => 111101011
[[1,4],[2,9],[3],[5],[6],[7],[8],[10]] => 110111101 => 101111011
[[1,4],[2,8],[3],[5],[6],[7],[9],[10]] => 110111011 => 110111011
[[1,4],[2,7],[3],[5],[6],[8],[9],[10]] => 110110111 => 111011011
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => 110111111 => 111111011
[[1,7],[2,8],[3],[4],[5],[6],[9],[10]] => 111110111 => 111011111
[[1,6],[2,9],[3],[4],[5],[7],[8],[10]] => 111101101 => 101101111
[[1,6],[2,8],[3],[4],[5],[7],[9],[10]] => 111101011 => 110101111
[[1,6],[2,7],[3],[4],[5],[8],[9],[10]] => 111101111 => 111101111
[[1,5],[2,9],[3],[4],[6],[7],[8],[10]] => 111011101 => 101110111
[[1,5],[2,8],[3],[4],[6],[7],[9],[10]] => 111011011 => 110110111
[[1,5],[2,7],[3],[4],[6],[8],[9],[10]] => 111010111 => 111010111
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => 111011111 => 111110111
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => 111111011 => 110111111
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => 111110111 => 111011111
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => 111101111 => 111101111
[[1,3],[2,5],[4,7],[6,9],[8,11],[10],[12]] => 10101010101 => 10101010101
[[1,3],[2,5],[4,7],[6,9],[8],[10],[11],[12]] => 10101010111 => 11101010101
[[1,3],[2,5],[4,7],[6,11],[8],[9],[10],[12]] => 10101011101 => 10111010101
[[1,3],[2,5],[4,7],[6,10],[8],[9],[11],[12]] => 10101011011 => 11011010101
[[1,3],[2,5],[4,7],[6],[8],[9],[10],[11],[12]] => 10101011111 => 11111010101
[[1,3],[2,5],[4,9],[6,11],[7],[8],[10],[12]] => 10101110101 => 10101110101
[[1,3],[2,5],[4,9],[6,10],[7],[8],[11],[12]] => 10101110111 => 11101110101
[[1,3],[2,5],[4,8],[6,11],[7],[9],[10],[12]] => 10101101101 => 10110110101
[[1,3],[2,5],[4,8],[6,10],[7],[9],[11],[12]] => 10101101011 => 11010110101
[[1,3],[2,5],[4,8],[6],[7],[9],[10],[11],[12]] => 10101101111 => 11110110101
[[1,3],[2,5],[4,11],[6],[7],[8],[9],[10],[12]] => 10101111101 => 10111110101
[[1,3],[2,5],[4,10],[6],[7],[8],[9],[11],[12]] => 10101111011 => 11011110101
[[1,3],[2,5],[4,9],[6],[7],[8],[10],[11],[12]] => 10101110111 => 11101110101
[[1,3],[2,5],[4],[6],[7],[8],[9],[10],[11],[12]] => 10101111111 => 11111110101
[[1,3],[2,7],[4,9],[5,11],[6],[8],[10],[12]] => 10111010101 => 10101011101
[[1,3],[2,7],[4,9],[5,10],[6],[8],[11],[12]] => 10111010111 => 11101011101
[[1,3],[2,7],[4,8],[5,11],[6],[9],[10],[12]] => 10111011101 => 10111011101
[[1,3],[2,7],[4,8],[5,10],[6],[9],[11],[12]] => 10111011011 => 11011011101
[[1,3],[2,7],[4,8],[5],[6],[9],[10],[11],[12]] => 10111011111 => 11111011101
[[1,3],[2,6],[4,9],[5,11],[7],[8],[10],[12]] => 10110110101 => 10101101101
[[1,3],[2,6],[4,9],[5,10],[7],[8],[11],[12]] => 10110110111 => 11101101101
[[1,3],[2,6],[4,8],[5,11],[7],[9],[10],[12]] => 10110101101 => 10110101101
[[1,3],[2,6],[4,8],[5,10],[7],[9],[11],[12]] => 10110101011 => 11010101101
[[1,3],[2,6],[4,8],[5],[7],[9],[10],[11],[12]] => 10110101111 => 11110101101
[[1,3],[2,6],[4,11],[5],[7],[8],[9],[10],[12]] => 10110111101 => 10111101101
[[1,3],[2,6],[4,10],[5],[7],[8],[9],[11],[12]] => 10110111011 => 11011101101
[[1,3],[2,6],[4,9],[5],[7],[8],[10],[11],[12]] => 10110110111 => 11101101101
[[1,3],[2,6],[4],[5],[7],[8],[9],[10],[11],[12]] => 10110111111 => 11111101101
[[1,3],[2,9],[4,11],[5],[6],[7],[8],[10],[12]] => 10111110101 => 10101111101
[[1,3],[2,9],[4,10],[5],[6],[7],[8],[11],[12]] => 10111110111 => 11101111101
[[1,3],[2,8],[4,11],[5],[6],[7],[9],[10],[12]] => 10111101101 => 10110111101
[[1,3],[2,8],[4,10],[5],[6],[7],[9],[11],[12]] => 10111101011 => 11010111101
[[1,3],[2,8],[4,9],[5],[6],[7],[10],[11],[12]] => 10111101111 => 11110111101
[[1,3],[2,7],[4,11],[5],[6],[8],[9],[10],[12]] => 10111011101 => 10111011101
[[1,3],[2,7],[4,10],[5],[6],[8],[9],[11],[12]] => 10111011011 => 11011011101
[[1,3],[2,7],[4,9],[5],[6],[8],[10],[11],[12]] => 10111010111 => 11101011101
[[1,3],[2,7],[4],[5],[6],[8],[9],[10],[11],[12]] => 10111011111 => 11111011101
[[1,3],[2,11],[4],[5],[6],[7],[8],[9],[10],[12]] => 10111111101 => 10111111101
[[1,3],[2,10],[4],[5],[6],[7],[8],[9],[11],[12]] => 10111111011 => 11011111101
[[1,3],[2,9],[4],[5],[6],[7],[8],[10],[11],[12]] => 10111110111 => 11101111101
[[1,3],[2,8],[4],[5],[6],[7],[9],[10],[11],[12]] => 10111101111 => 11110111101
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => 10111111111 => 11111111101
[[1,5],[2,7],[3,9],[4,11],[6],[8],[10],[12]] => 11101010101 => 10101010111
[[1,5],[2,7],[3,9],[4,10],[6],[8],[11],[12]] => 11101010111 => 11101010111
[[1,5],[2,7],[3,8],[4,11],[6],[9],[10],[12]] => 11101011101 => 10111010111
[[1,5],[2,7],[3,8],[4,10],[6],[9],[11],[12]] => 11101011011 => 11011010111
[[1,5],[2,7],[3,8],[4],[6],[9],[10],[11],[12]] => 11101011111 => 11111010111
[[1,5],[2,6],[3,9],[4,11],[7],[8],[10],[12]] => 11101110101 => 10101110111
[[1,5],[2,6],[3,9],[4,10],[7],[8],[11],[12]] => 11101110111 => 11101110111
[[1,5],[2,6],[3,8],[4,11],[7],[9],[10],[12]] => 11101101101 => 10110110111
[[1,5],[2,6],[3,8],[4,10],[7],[9],[11],[12]] => 11101101011 => 11010110111
[[1,5],[2,6],[3,8],[4],[7],[9],[10],[11],[12]] => 11101101111 => 11110110111
[[1,5],[2,6],[3,11],[4],[7],[8],[9],[10],[12]] => 11101111101 => 10111110111
[[1,5],[2,6],[3,10],[4],[7],[8],[9],[11],[12]] => 11101111011 => 11011110111
[[1,5],[2,6],[3,9],[4],[7],[8],[10],[11],[12]] => 11101110111 => 11101110111
[[1,5],[2,6],[3],[4],[7],[8],[9],[10],[11],[12]] => 11101111111 => 11111110111
[[1,4],[2,7],[3,9],[5,11],[6],[8],[10],[12]] => 11011010101 => 10101011011
[[1,4],[2,7],[3,9],[5,10],[6],[8],[11],[12]] => 11011010111 => 11101011011
[[1,4],[2,7],[3,8],[5,11],[6],[9],[10],[12]] => 11011011101 => 10111011011
[[1,4],[2,7],[3,8],[5,10],[6],[9],[11],[12]] => 11011011011 => 11011011011
[[1,4],[2,7],[3,8],[5],[6],[9],[10],[11],[12]] => 11011011111 => 11111011011
[[1,4],[2,6],[3,9],[5,11],[7],[8],[10],[12]] => 11010110101 => 10101101011
[[1,4],[2,6],[3,9],[5,10],[7],[8],[11],[12]] => 11010110111 => 11101101011
[[1,4],[2,6],[3,8],[5,11],[7],[9],[10],[12]] => 11010101101 => 10110101011
[[1,4],[2,6],[3,8],[5,10],[7],[9],[11],[12]] => 11010101011 => 11010101011
[[1,4],[2,6],[3,8],[5],[7],[9],[10],[11],[12]] => 11010101111 => 11110101011
[[1,4],[2,6],[3,11],[5],[7],[8],[9],[10],[12]] => 11010111101 => 10111101011
[[1,4],[2,6],[3,10],[5],[7],[8],[9],[11],[12]] => 11010111011 => 11011101011
[[1,4],[2,6],[3,9],[5],[7],[8],[10],[11],[12]] => 11010110111 => 11101101011
[[1,4],[2,6],[3],[5],[7],[8],[9],[10],[11],[12]] => 11010111111 => 11111101011
[[1,4],[2,9],[3,11],[5],[6],[7],[8],[10],[12]] => 11011110101 => 10101111011
[[1,4],[2,9],[3,10],[5],[6],[7],[8],[11],[12]] => 11011110111 => 11101111011
[[1,4],[2,8],[3,11],[5],[6],[7],[9],[10],[12]] => 11011101101 => 10110111011
[[1,4],[2,8],[3,10],[5],[6],[7],[9],[11],[12]] => 11011101011 => 11010111011
[[1,4],[2,8],[3,9],[5],[6],[7],[10],[11],[12]] => 11011101111 => 11110111011
[[1,4],[2,7],[3,11],[5],[6],[8],[9],[10],[12]] => 11011011101 => 10111011011
[[1,4],[2,7],[3,10],[5],[6],[8],[9],[11],[12]] => 11011011011 => 11011011011
[[1,4],[2,7],[3,9],[5],[6],[8],[10],[11],[12]] => 11011010111 => 11101011011
[[1,4],[2,7],[3],[5],[6],[8],[9],[10],[11],[12]] => 11011011111 => 11111011011
[[1,4],[2,11],[3],[5],[6],[7],[8],[9],[10],[12]] => 11011111101 => 10111111011
[[1,4],[2,10],[3],[5],[6],[7],[8],[9],[11],[12]] => 11011111011 => 11011111011
[[1,4],[2,9],[3],[5],[6],[7],[8],[10],[11],[12]] => 11011110111 => 11101111011
[[1,4],[2,8],[3],[5],[6],[7],[9],[10],[11],[12]] => 11011101111 => 11110111011
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10],[11],[12]] => 11011111111 => 11111111011
[[1,7],[2,9],[3,11],[4],[5],[6],[8],[10],[12]] => 11111010101 => 10101011111
[[1,7],[2,9],[3,10],[4],[5],[6],[8],[11],[12]] => 11111010111 => 11101011111
[[1,7],[2,8],[3,11],[4],[5],[6],[9],[10],[12]] => 11111011101 => 10111011111
[[1,7],[2,8],[3,10],[4],[5],[6],[9],[11],[12]] => 11111011011 => 11011011111
[[1,7],[2,8],[3,9],[4],[5],[6],[10],[11],[12]] => 11111011111 => 11111011111
[[1,6],[2,9],[3,11],[4],[5],[7],[8],[10],[12]] => 11110110101 => 10101101111
[[1,6],[2,9],[3,10],[4],[5],[7],[8],[11],[12]] => 11110110111 => 11101101111
[[1,6],[2,8],[3,11],[4],[5],[7],[9],[10],[12]] => 11110101101 => 10110101111
[[1,6],[2,8],[3,10],[4],[5],[7],[9],[11],[12]] => 11110101011 => 11010101111
[[1,6],[2,8],[3,9],[4],[5],[7],[10],[11],[12]] => 11110101111 => 11110101111
[[1,6],[2,7],[3,11],[4],[5],[8],[9],[10],[12]] => 11110111101 => 10111101111
[[1,6],[2,7],[3,10],[4],[5],[8],[9],[11],[12]] => 11110111011 => 11011101111
[[1,6],[2,7],[3,9],[4],[5],[8],[10],[11],[12]] => 11110110111 => 11101101111
[[1,6],[2,7],[3],[4],[5],[8],[9],[10],[11],[12]] => 11110111111 => 11111101111
[[1,5],[2,9],[3,11],[4],[6],[7],[8],[10],[12]] => 11101110101 => 10101110111
[[1,5],[2,9],[3,10],[4],[6],[7],[8],[11],[12]] => 11101110111 => 11101110111
[[1,5],[2,8],[3,11],[4],[6],[7],[9],[10],[12]] => 11101101101 => 10110110111
[[1,5],[2,8],[3,10],[4],[6],[7],[9],[11],[12]] => 11101101011 => 11010110111
[[1,5],[2,8],[3,9],[4],[6],[7],[10],[11],[12]] => 11101101111 => 11110110111
[[1,5],[2,7],[3,11],[4],[6],[8],[9],[10],[12]] => 11101011101 => 10111010111
[[1,5],[2,7],[3,10],[4],[6],[8],[9],[11],[12]] => 11101011011 => 11011010111
[[1,5],[2,7],[3,9],[4],[6],[8],[10],[11],[12]] => 11101010111 => 11101010111
[[1,5],[2,7],[3],[4],[6],[8],[9],[10],[11],[12]] => 11101011111 => 11111010111
[[1,5],[2,11],[3],[4],[6],[7],[8],[9],[10],[12]] => 11101111101 => 10111110111
[[1,5],[2,10],[3],[4],[6],[7],[8],[9],[11],[12]] => 11101111011 => 11011110111
[[1,5],[2,9],[3],[4],[6],[7],[8],[10],[11],[12]] => 11101110111 => 11101110111
[[1,5],[2,8],[3],[4],[6],[7],[9],[10],[11],[12]] => 11101101111 => 11110110111
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]] => 11101111111 => 11111110111
[[1,9],[2,11],[3],[4],[5],[6],[7],[8],[10],[12]] => 11111110101 => 10101111111
[[1,9],[2,10],[3],[4],[5],[6],[7],[8],[11],[12]] => 11111110111 => 11101111111
[[1,8],[2,11],[3],[4],[5],[6],[7],[9],[10],[12]] => 11111101101 => 10110111111
[[1,8],[2,10],[3],[4],[5],[6],[7],[9],[11],[12]] => 11111101011 => 11010111111
[[1,8],[2,9],[3],[4],[5],[6],[7],[10],[11],[12]] => 11111101111 => 11110111111
[[1,7],[2,11],[3],[4],[5],[6],[8],[9],[10],[12]] => 11111011101 => 10111011111
[[1,7],[2,10],[3],[4],[5],[6],[8],[9],[11],[12]] => 11111011011 => 11011011111
[[1,7],[2,9],[3],[4],[5],[6],[8],[10],[11],[12]] => 11111010111 => 11101011111
[[1,7],[2,8],[3],[4],[5],[6],[9],[10],[11],[12]] => 11111011111 => 11111011111
[[1,6],[2,11],[3],[4],[5],[7],[8],[9],[10],[12]] => 11110111101 => 10111101111
[[1,6],[2,10],[3],[4],[5],[7],[8],[9],[11],[12]] => 11110111011 => 11011101111
[[1,6],[2,9],[3],[4],[5],[7],[8],[10],[11],[12]] => 11110110111 => 11101101111
[[1,6],[2,8],[3],[4],[5],[7],[9],[10],[11],[12]] => 11110101111 => 11110101111
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10],[11],[12]] => 11110111111 => 11111101111
[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]] => 11111111101 => 10111111111
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9],[11],[12]] => 11111111011 => 11011111111
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]] => 11111110111 => 11101111111
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10],[11],[12]] => 11111101111 => 11110111111
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]] => 11111011111 => 11111011111
[[1,2],[3,5],[4],[6],[7],[8],[9]] => 01101111 => 11110110
[[1,2,4],[3],[5],[6],[7],[8],[9]] => 01011111 => 11111010
[[1,2],[3,4],[5,7],[6],[8],[9]] => 01011011 => 11011010
[[1,3,6],[2,5],[4],[7],[8],[9]] => 10100111 => 11100101
[[1,2,3,5],[4],[6],[7],[8],[9]] => 00101111 => 11110100
[[1,2],[3,4],[5,6],[7,9],[8]] => 01010110 => 01101010
[[1,2,3],[4,5,7],[6],[8],[9]] => 00101011 => 11010100
[[1,2,4,7],[3,6],[5],[8],[9]] => 01010011 => 11001010
[[1,2,3,4,6],[5],[7],[8],[9]] => 00010111 => 11101000
[[1,3,4],[2,7],[5,8],[6,9]] => 10011011 => 11011001
[[1,2,5],[3,6,9],[4,8],[7]] => 01101100 => 00110110
[[1,3,5,8],[2,4,7],[6],[9]] => 10101001 => 10010101
[[1,2,3,5,8],[4,7],[6],[9]] => 00101001 => 10010100
[[1,2,3,4,5,7],[6],[8],[9]] => 00001011 => 11010000
[[1,3,6,9],[2,5,8],[4,7]] => 10100100 => 00100101
[[1,2,3,5,6],[4,8],[7,9]] => 00100101 => 10100100
[[1,2,3,4],[5,6,7,9],[8]] => 00010010 => 01001000
[[1,2,4,6,9],[3,5,8],[7]] => 01010100 => 00101010
[[1,2,3,4,6,9],[5,8],[7]] => 00010100 => 00101000
[[1,2,3,4,5,6,8],[7],[9]] => 00000101 => 10100000
[[1,2,3,5,7,9],[4,6,8]] => 00101010 => 01010100
[[1,2,3,4,5,7,9],[6,8]] => 00001010 => 01010000
[[1,2],[3,5],[4],[6],[7],[8],[9],[10]] => 011011111 => 111110110
[[1,2,4],[3],[5],[6],[7],[8],[9],[10]] => 010111111 => 111111010
[[1,2],[3,4],[5,7],[6],[8],[9],[10]] => 010110111 => 111011010
[[1,3,6],[2,5],[4],[7],[8],[9],[10]] => 101001111 => 111100101
[[1,2,3,5],[4],[6],[7],[8],[9],[10]] => 001011111 => 111110100
[[1,2],[3,4],[5,6],[7,9],[8],[10]] => 010101101 => 101101010
[[1,2,3],[4,5,7],[6],[8],[9],[10]] => 001010111 => 111010100
[[1,2,4,7],[3,6],[5],[8],[9],[10]] => 010100111 => 111001010
[[1,2,3,4,6],[5],[7],[8],[9],[10]] => 000101111 => 111101000
[[1,3,4],[2,7],[5,8],[6,10],[9]] => 100110110 => 011011001
[[1,2,5],[3,6,9],[4,8],[7],[10]] => 011011001 => 100110110
[[1,3,5,8],[2,4,7],[6],[9],[10]] => 101010011 => 110010101
[[1,2,3,5,8],[4,7],[6],[9],[10]] => 001010011 => 110010100
[[1,2,3,4,5,7],[6],[8],[9],[10]] => 000010111 => 111010000
[[1,2,5],[3,6,7],[4,9],[8,10]] => 011010101 => 101010110
[[1,2,4,5],[3,8],[6,9],[7,10]] => 010011011 => 110110010
[[1,2,3],[4,5,6],[7,8,10],[9]] => 001001010 => 010100100
[[1,2,3,5,6],[4,8],[7,10],[9]] => 001001010 => 010100100
[[1,2,3,4],[5,6,7,9],[8],[10]] => 000100101 => 101001000
[[1,2,4,6,9],[3,5,8],[7],[10]] => 010101001 => 100101010
[[1,2,3,4,6,9],[5,8],[7],[10]] => 000101001 => 100101000
[[1,2,3,4,5,6,8],[7],[9],[10]] => 000001011 => 110100000
[[1,3,4,6],[2,7,9],[5,8,10]] => 100101101 => 101101001
[[1,2,3,7],[4,5,8,10],[6,9]] => 001010110 => 011010100
[[1,2,4,7,10],[3,6,9],[5,8]] => 010100100 => 001001010
[[1,2,3,4,6,7],[5,9],[8,10]] => 000100101 => 101001000
[[1,3,5,7,10],[2,4,6,9],[8]] => 101010100 => 001010101
[[1,2,3,5,7,10],[4,6,9],[8]] => 001010100 => 001010100
[[1,2,3,4,5,7,10],[6,9],[8]] => 000010100 => 001010000
[[1,2,3,4,5,6,7,9],[8],[10]] => 000000101 => 101000000
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14]] => 1010101010101 => 1010101010101
[[1,2,8],[3,9],[4],[5],[6],[7]] => 01111101 => 10111110
[[1,2,7],[3,8],[4,9],[5],[6]] => 01111011 => 11011110
[[1,2,7,9],[3,8],[4],[5],[6]] => 01111010 => 01011110
[[1,2,6,9],[3,7],[4,8],[5]] => 01110110 => 01101110
[[1,2,6,8],[3,7,9],[4],[5]] => 01110101 => 10101110
[[1,2,6,8,9],[3,7],[4],[5]] => 01110100 => 00101110
[[1,2,5,8],[3,6,9],[4,7]] => 01101101 => 10110110
[[1,2,5,8,9],[3,6],[4,7]] => 01101100 => 00110110
[[1,2,5,7,8,9],[3,6],[4]] => 01101000 => 00010110
[[1,2,4,6,8,9],[3,5,7]] => 01010100 => 00101010
[[1,2,4,6,7,8,9],[3,5]] => 01010000 => 00001010
[[1,2,9],[3,10],[4],[5],[6],[7],[8]] => 011111101 => 101111110
[[1,2,8],[3,9],[4,10],[5],[6],[7]] => 011111011 => 110111110
[[1,2,8,10],[3,9],[4],[5],[6],[7]] => 011111010 => 010111110
[[1,2,7],[3,8],[4,9],[5,10],[6]] => 011110111 => 111011110
[[1,2,7,10],[3,8],[4,9],[5],[6]] => 011110110 => 011011110
[[1,2,7,9],[3,8,10],[4],[5],[6]] => 011110101 => 101011110
[[1,2,7,9,10],[3,8],[4],[5],[6]] => 011110100 => 001011110
[[1,2,6,10],[3,7],[4,8],[5,9]] => 011101110 => 011101110
[[1,2,6,9],[3,7,10],[4,8],[5]] => 011101101 => 101101110
[[1,2,6,9,10],[3,7],[4,8],[5]] => 011101100 => 001101110
[[1,2,6,8,10],[3,7,9],[4],[5]] => 011101010 => 010101110
[[1,2,6,8,9,10],[3,7],[4],[5]] => 011101000 => 000101110
[[1,2,5,8,10],[3,6,9],[4,7]] => 011011010 => 010110110
[[1,2,5,8,9,10],[3,6],[4,7]] => 011011000 => 000110110
[[1,2,5,7,9],[3,6,8,10],[4]] => 011010101 => 101010110
[[1,2,5,7,8,9,10],[3,6],[4]] => 011010000 => 000010110
[[1,2,3,4],[5,6],[7,9],[8,10]] => 000101101 => 101101000
[[1,2,3,4],[5,7],[6,8],[9,10]] => 000110110 => 011011000
[[1,2,3,4],[5,7],[6,9],[8,10]] => 000110101 => 101011000
[[1,2,3,4],[5,8],[6,9],[7,10]] => 000111011 => 110111000
[[1,2,3,5],[4,6],[7,8],[9,10]] => 001011010 => 010110100
[[1,2,3,5],[4,6],[7,9],[8,10]] => 001011101 => 101110100
[[1,2,3,5],[4,7],[6,8],[9,10]] => 001010110 => 011010100
[[1,2,3,5],[4,7],[6,9],[8,10]] => 001010101 => 101010100
[[1,2,3,5],[4,8],[6,9],[7,10]] => 001011011 => 110110100
[[1,2,3,6],[4,7],[5,8],[9,10]] => 001101110 => 011101100
[[1,2,3,6],[4,7],[5,9],[8,10]] => 001101101 => 101101100
[[1,2,3,6],[4,8],[5,9],[7,10]] => 001101011 => 110101100
[[1,2,4,6],[3,5],[7,8],[9,10]] => 010101010 => 010101010
[[1,2,4,6],[3,5],[7,9],[8,10]] => 010101101 => 101101010
[[1,2,4,7],[3,5],[6,8],[9,10]] => 010110110 => 011011010
[[1,2,4,7],[3,5],[6,9],[8,10]] => 010110101 => 101011010
[[1,2,4,8],[3,5],[6,9],[7,10]] => 010111011 => 110111010
[[1,2,4,5],[3,6],[7,8],[9,10]] => 010011010 => 010110010
[[1,2,4,5],[3,6],[7,9],[8,10]] => 010011101 => 101110010
[[1,2,4,5],[3,7],[6,8],[9,10]] => 010010110 => 011010010
[[1,2,4,5],[3,7],[6,9],[8,10]] => 010010101 => 101010010
[[1,2,4,6],[3,7],[5,8],[9,10]] => 010101110 => 011101010
[[1,2,4,6],[3,7],[5,9],[8,10]] => 010101101 => 101101010
[[1,2,4,6],[3,8],[5,9],[7,10]] => 010101011 => 110101010
[[1,2,4,7],[3,8],[5,9],[6,10]] => 010110111 => 111011010
[[1,2,5,8],[3,6],[4,7],[9,10]] => 011011010 => 010110110
[[1,2,5,9],[3,6],[4,7],[8,10]] => 011011101 => 101110110
[[1,2,5,7],[3,6],[4,8],[9,10]] => 011010110 => 011010110
[[1,2,5,7],[3,6],[4,9],[8,10]] => 011010101 => 101010110
[[1,2,5,8],[3,6],[4,9],[7,10]] => 011011011 => 110110110
[[1,2,5,6],[3,7],[4,8],[9,10]] => 011001110 => 011100110
[[1,2,5,6],[3,7],[4,9],[8,10]] => 011001101 => 101100110
[[1,2,5,6],[3,8],[4,9],[7,10]] => 011001011 => 110100110
[[1,2,5,7],[3,8],[4,9],[6,10]] => 011010111 => 111010110
[[1,2,6,9],[3,7],[4,8],[5,10]] => 011101101 => 101101110
[[1,2,6,8],[3,7],[4,9],[5,10]] => 011101011 => 110101110
[[1,2,6,7],[3,8],[4,9],[5,10]] => 011100111 => 111001110
[[1,2,3,4],[5,6],[7,8],[9,11],[10,12]] => 00010101101 => 10110101000
[[1,2,3,4],[5,6],[7,9],[8,10],[11,12]] => 00010110110 => 01101101000
[[1,2,3,4],[5,6],[7,9],[8,11],[10,12]] => 00010110101 => 10101101000
[[1,2,3,4],[5,6],[7,10],[8,11],[9,12]] => 00010111011 => 11011101000
[[1,2,3,4],[5,7],[6,8],[9,10],[11,12]] => 00011011010 => 01011011000
[[1,2,3,4],[5,7],[6,8],[9,11],[10,12]] => 00011011101 => 10111011000
[[1,2,3,4],[5,7],[6,9],[8,10],[11,12]] => 00011010110 => 01101011000
[[1,2,3,4],[5,7],[6,9],[8,11],[10,12]] => 00011010101 => 10101011000
[[1,2,3,4],[5,7],[6,10],[8,11],[9,12]] => 00011011011 => 11011011000
[[1,2,3,4],[5,8],[6,9],[7,10],[11,12]] => 00011101110 => 01110111000
[[1,2,3,4],[5,8],[6,9],[7,11],[10,12]] => 00011101101 => 10110111000
[[1,2,3,4],[5,8],[6,10],[7,11],[9,12]] => 00011101011 => 11010111000
[[1,2,3,4],[5,9],[6,10],[7,11],[8,12]] => 00011110111 => 11101111000
[[1,2,3,5],[4,6],[7,8],[9,10],[11,12]] => 00101101010 => 01010110100
[[1,2,3,5],[4,6],[7,8],[9,11],[10,12]] => 00101101101 => 10110110100
[[1,2,3,5],[4,6],[7,9],[8,10],[11,12]] => 00101110110 => 01101110100
[[1,2,3,5],[4,6],[7,9],[8,11],[10,12]] => 00101110101 => 10101110100
[[1,2,3,5],[4,6],[7,10],[8,11],[9,12]] => 00101111011 => 11011110100
[[1,2,3,5],[4,7],[6,8],[9,10],[11,12]] => 00101011010 => 01011010100
[[1,2,3,5],[4,7],[6,8],[9,11],[10,12]] => 00101011101 => 10111010100
[[1,2,3,5],[4,7],[6,9],[8,10],[11,12]] => 00101010110 => 01101010100
[[1,2,3,5],[4,7],[6,9],[8,11],[10,12]] => 00101010101 => 10101010100
[[1,2,3,5],[4,7],[6,10],[8,11],[9,12]] => 00101011011 => 11011010100
[[1,2,3,5],[4,8],[6,9],[7,10],[11,12]] => 00101101110 => 01110110100
[[1,2,3,5],[4,8],[6,9],[7,11],[10,12]] => 00101101101 => 10110110100
[[1,2,3,5],[4,8],[6,10],[7,11],[9,12]] => 00101101011 => 11010110100
[[1,2,3,5],[4,9],[6,10],[7,11],[8,12]] => 00101110111 => 11101110100
[[1,2,3,6],[4,7],[5,8],[9,10],[11,12]] => 00110111010 => 01011101100
[[1,2,3,6],[4,7],[5,8],[9,11],[10,12]] => 00110111101 => 10111101100
[[1,2,3,6],[4,7],[5,9],[8,10],[11,12]] => 00110110110 => 01101101100
[[1,2,3,6],[4,7],[5,9],[8,11],[10,12]] => 00110110101 => 10101101100
[[1,2,3,6],[4,7],[5,10],[8,11],[9,12]] => 00110111011 => 11011101100
[[1,2,3,6],[4,8],[5,9],[7,10],[11,12]] => 00110101110 => 01110101100
[[1,2,3,6],[4,8],[5,9],[7,11],[10,12]] => 00110101101 => 10110101100
[[1,2,3,6],[4,8],[5,10],[7,11],[9,12]] => 00110101011 => 11010101100
[[1,2,3,6],[4,9],[5,10],[7,11],[8,12]] => 00110110111 => 11101101100
[[1,2,3,7],[4,8],[5,9],[6,10],[11,12]] => 00111011110 => 01111011100
[[1,2,3,7],[4,8],[5,9],[6,11],[10,12]] => 00111011101 => 10111011100
[[1,2,3,7],[4,8],[5,10],[6,11],[9,12]] => 00111011011 => 11011011100
[[1,2,3,7],[4,9],[5,10],[6,11],[8,12]] => 00111010111 => 11101011100
[[1,2,3,8],[4,9],[5,10],[6,11],[7,12]] => 00111101111 => 11110111100
[[1,2,4,6],[3,5],[7,8],[9,10],[11,12]] => 01010101010 => 01010101010
[[1,2,4,6],[3,5],[7,8],[9,11],[10,12]] => 01010101101 => 10110101010
[[1,2,4,6],[3,5],[7,9],[8,10],[11,12]] => 01010110110 => 01101101010
[[1,2,4,6],[3,5],[7,9],[8,11],[10,12]] => 01010110101 => 10101101010
[[1,2,4,6],[3,5],[7,10],[8,11],[9,12]] => 01010111011 => 11011101010
[[1,2,4,7],[3,5],[6,8],[9,10],[11,12]] => 01011011010 => 01011011010
[[1,2,4,7],[3,5],[6,8],[9,11],[10,12]] => 01011011101 => 10111011010
[[1,2,4,7],[3,5],[6,9],[8,10],[11,12]] => 01011010110 => 01101011010
[[1,2,4,7],[3,5],[6,9],[8,11],[10,12]] => 01011010101 => 10101011010
[[1,2,4,7],[3,5],[6,10],[8,11],[9,12]] => 01011011011 => 11011011010
[[1,2,4,8],[3,5],[6,9],[7,10],[11,12]] => 01011101110 => 01110111010
[[1,2,4,8],[3,5],[6,9],[7,11],[10,12]] => 01011101101 => 10110111010
[[1,2,4,8],[3,5],[6,10],[7,11],[9,12]] => 01011101011 => 11010111010
[[1,2,4,9],[3,5],[6,10],[7,11],[8,12]] => 01011110111 => 11101111010
[[1,2,4,5],[3,6],[7,8],[9,10],[11,12]] => 01001101010 => 01010110010
[[1,2,4,5],[3,6],[7,8],[9,11],[10,12]] => 01001101101 => 10110110010
[[1,2,4,5],[3,6],[7,9],[8,10],[11,12]] => 01001110110 => 01101110010
[[1,2,4,5],[3,6],[7,9],[8,11],[10,12]] => 01001110101 => 10101110010
[[1,2,4,5],[3,6],[7,10],[8,11],[9,12]] => 01001111011 => 11011110010
[[1,2,4,5],[3,7],[6,8],[9,10],[11,12]] => 01001011010 => 01011010010
[[1,2,4,5],[3,7],[6,8],[9,11],[10,12]] => 01001011101 => 10111010010
[[1,2,4,5],[3,7],[6,9],[8,10],[11,12]] => 01001010110 => 01101010010
[[1,2,4,5],[3,7],[6,9],[8,11],[10,12]] => 01001010101 => 10101010010
[[1,2,4,5],[3,7],[6,10],[8,11],[9,12]] => 01001011011 => 11011010010
[[1,2,4,5],[3,8],[6,9],[7,10],[11,12]] => 01001101110 => 01110110010
[[1,2,4,5],[3,8],[6,9],[7,11],[10,12]] => 01001101101 => 10110110010
[[1,2,4,5],[3,8],[6,10],[7,11],[9,12]] => 01001101011 => 11010110010
[[1,2,4,5],[3,9],[6,10],[7,11],[8,12]] => 01001110111 => 11101110010
[[1,2,4,6],[3,7],[5,8],[9,10],[11,12]] => 01010111010 => 01011101010
[[1,2,4,6],[3,7],[5,8],[9,11],[10,12]] => 01010111101 => 10111101010
[[1,2,4,6],[3,7],[5,9],[8,10],[11,12]] => 01010110110 => 01101101010
[[1,2,4,6],[3,7],[5,9],[8,11],[10,12]] => 01010110101 => 10101101010
[[1,2,4,6],[3,7],[5,10],[8,11],[9,12]] => 01010111011 => 11011101010
[[1,2,4,6],[3,8],[5,9],[7,10],[11,12]] => 01010101110 => 01110101010
[[1,2,4,6],[3,8],[5,9],[7,11],[10,12]] => 01010101101 => 10110101010
[[1,2,4,6],[3,8],[5,10],[7,11],[9,12]] => 01010101011 => 11010101010
[[1,2,4,6],[3,9],[5,10],[7,11],[8,12]] => 01010110111 => 11101101010
[[1,2,4,7],[3,8],[5,9],[6,10],[11,12]] => 01011011110 => 01111011010
[[1,2,4,7],[3,8],[5,9],[6,11],[10,12]] => 01011011101 => 10111011010
[[1,2,4,7],[3,8],[5,10],[6,11],[9,12]] => 01011011011 => 11011011010
[[1,2,4,7],[3,9],[5,10],[6,11],[8,12]] => 01011010111 => 11101011010
[[1,2,4,8],[3,9],[5,10],[6,11],[7,12]] => 01011101111 => 11110111010
[[1,2,5,8],[3,6],[4,7],[9,10],[11,12]] => 01101101010 => 01010110110
[[1,2,5,8],[3,6],[4,7],[9,11],[10,12]] => 01101101101 => 10110110110
[[1,2,5,9],[3,6],[4,7],[8,10],[11,12]] => 01101110110 => 01101110110
[[1,2,5,9],[3,6],[4,7],[8,11],[10,12]] => 01101110101 => 10101110110
[[1,2,5,10],[3,6],[4,7],[8,11],[9,12]] => 01101111011 => 11011110110
[[1,2,5,7],[3,6],[4,8],[9,10],[11,12]] => 01101011010 => 01011010110
[[1,2,5,7],[3,6],[4,8],[9,11],[10,12]] => 01101011101 => 10111010110
[[1,2,5,7],[3,6],[4,9],[8,10],[11,12]] => 01101010110 => 01101010110
[[1,2,5,7],[3,6],[4,9],[8,11],[10,12]] => 01101010101 => 10101010110
[[1,2,5,7],[3,6],[4,10],[8,11],[9,12]] => 01101011011 => 11011010110
[[1,2,5,8],[3,6],[4,9],[7,10],[11,12]] => 01101101110 => 01110110110
[[1,2,5,8],[3,6],[4,9],[7,11],[10,12]] => 01101101101 => 10110110110
[[1,2,5,8],[3,6],[4,10],[7,11],[9,12]] => 01101101011 => 11010110110
[[1,2,5,9],[3,6],[4,10],[7,11],[8,12]] => 01101110111 => 11101110110
[[1,2,5,6],[3,7],[4,8],[9,10],[11,12]] => 01100111010 => 01011100110
[[1,2,5,6],[3,7],[4,8],[9,11],[10,12]] => 01100111101 => 10111100110
[[1,2,5,6],[3,7],[4,9],[8,10],[11,12]] => 01100110110 => 01101100110
[[1,2,5,6],[3,7],[4,9],[8,11],[10,12]] => 01100110101 => 10101100110
[[1,2,5,6],[3,7],[4,10],[8,11],[9,12]] => 01100111011 => 11011100110
[[1,2,5,6],[3,8],[4,9],[7,10],[11,12]] => 01100101110 => 01110100110
[[1,2,5,6],[3,8],[4,9],[7,11],[10,12]] => 01100101101 => 10110100110
[[1,2,5,6],[3,8],[4,10],[7,11],[9,12]] => 01100101011 => 11010100110
[[1,2,5,6],[3,9],[4,10],[7,11],[8,12]] => 01100110111 => 11101100110
[[1,2,5,7],[3,8],[4,9],[6,10],[11,12]] => 01101011110 => 01111010110
[[1,2,5,7],[3,8],[4,9],[6,11],[10,12]] => 01101011101 => 10111010110
[[1,2,5,7],[3,8],[4,10],[6,11],[9,12]] => 01101011011 => 11011010110
[[1,2,5,7],[3,9],[4,10],[6,11],[8,12]] => 01101010111 => 11101010110
[[1,2,5,8],[3,9],[4,10],[6,11],[7,12]] => 01101101111 => 11110110110
[[1,2,6,10],[3,7],[4,8],[5,9],[11,12]] => 01110111010 => 01011101110
[[1,2,6,11],[3,7],[4,8],[5,9],[10,12]] => 01110111101 => 10111101110
[[1,2,6,9],[3,7],[4,8],[5,10],[11,12]] => 01110110110 => 01101101110
[[1,2,6,9],[3,7],[4,8],[5,11],[10,12]] => 01110110101 => 10101101110
[[1,2,6,10],[3,7],[4,8],[5,11],[9,12]] => 01110111011 => 11011101110
[[1,2,6,8],[3,7],[4,9],[5,10],[11,12]] => 01110101110 => 01110101110
[[1,2,6,8],[3,7],[4,9],[5,11],[10,12]] => 01110101101 => 10110101110
[[1,2,6,8],[3,7],[4,10],[5,11],[9,12]] => 01110101011 => 11010101110
[[1,2,6,9],[3,7],[4,10],[5,11],[8,12]] => 01110110111 => 11101101110
[[1,2,6,7],[3,8],[4,9],[5,10],[11,12]] => 01110011110 => 01111001110
[[1,2,6,7],[3,8],[4,9],[5,11],[10,12]] => 01110011101 => 10111001110
[[1,2,6,7],[3,8],[4,10],[5,11],[9,12]] => 01110011011 => 11011001110
[[1,2,6,7],[3,9],[4,10],[5,11],[8,12]] => 01110010111 => 11101001110
[[1,2,6,8],[3,9],[4,10],[5,11],[7,12]] => 01110101111 => 11110101110
[[1,2,7,12],[3,8],[4,9],[5,10],[6,11]] => 01111011110 => 01111011110
[[1,2,7,11],[3,8],[4,9],[5,10],[6,12]] => 01111011101 => 10111011110
[[1,2,7,10],[3,8],[4,9],[5,11],[6,12]] => 01111011011 => 11011011110
[[1,2,7,9],[3,8],[4,10],[5,11],[6,12]] => 01111010111 => 11101011110
[[1,2,7,8],[3,9],[4,10],[5,11],[6,12]] => 01111001111 => 11110011110
[[1,2,8],[3,9],[4,10],[5,11],[6,12],[7]] => 01111101111 => 11110111110
[[1,5],[2,6],[3],[4],[7],[8],[9]] => 11101111 => 11110111
[[1,3,6],[2,7],[4],[5],[8],[9]] => 10110111 => 11101101
[[1,3,8],[2,9],[4],[5],[6],[7]] => 10111101 => 10111101
[[1,5,7],[2,6,8],[3],[4],[9]] => 11101011 => 11010111
[[1,3,4,7],[2,8],[5],[6],[9]] => 10011011 => 11011001
[[1,5,9],[2,6],[3],[4],[7],[8]] => 11101110 => 01110111
[[1,3,4,9],[2],[5],[6],[7],[8]] => 10011110 => 01111001
[[1,3,4,5,8],[2,9],[6],[7]] => 10001101 => 10110001
[[1,3,4,7,9],[2,8],[5],[6]] => 10011010 => 01011001
[[1,3,4,5,6,9],[2],[7],[8]] => 10000110 => 01100001
[[1,7],[2,8],[3,9],[4],[5],[6],[10]] => 111110111 => 111011111
[[1,3,6],[2,7],[4],[5],[8],[9],[10]] => 101101111 => 111101101
[[1,3,8],[2,9],[4,10],[5],[6],[7]] => 101111011 => 110111101
[[1,5,7],[2,6,8],[3],[4],[9],[10]] => 111010111 => 111010111
[[1,3,4,7],[2,8],[5],[6],[9],[10]] => 100110111 => 111011001
[[1,3,10],[2],[4],[5],[6],[7],[8],[9]] => 101111110 => 011111101
[[1,5,9],[2,6,10],[3],[4],[7],[8]] => 111011101 => 101110111
[[1,3,4,9],[2,10],[5],[6],[7],[8]] => 100111101 => 101111001
[[1,3,6,8],[2,7,9],[4],[5],[10]] => 101101011 => 110101101
[[1,3,4,5,8],[2,9],[6],[7],[10]] => 100011011 => 110110001
[[1,3,6,10],[2,7],[4],[5],[8],[9]] => 101101110 => 011101101
[[1,3,4,5,10],[2],[6],[7],[8],[9]] => 100011110 => 011110001
[[1,3,4,7,9],[2,8,10],[5],[6]] => 100110101 => 101011001
[[1,3,4,5,6,9],[2,10],[7],[8]] => 100001101 => 101100001
[[1,3,4,5,8,10],[2,9],[6],[7]] => 100011010 => 010110001
[[1,3,4,5,6,7,10],[2],[8],[9]] => 100000110 => 011000001
[[1,6],[2,8],[3,9],[4],[5],[7]] => 11110101 => 10101111
[[1,6,8],[2,9],[3],[4],[5],[7]] => 11110101 => 10101111
[[1,5],[2,7],[3,8],[4,9],[6]] => 11101011 => 11010111
[[1,5,8],[2,7],[3,9],[4],[6]] => 11101001 => 10010111
[[1,5,7],[2,8,9],[3],[4],[6]] => 11101010 => 01010111
[[1,5,7,9],[2,8],[3],[4],[6]] => 11101010 => 01010111
[[1,4,8],[2,6],[3,7],[5,9]] => 11010101 => 10101011
[[1,4,7],[2,6,9],[3,8],[5]] => 11010010 => 01001011
[[1,4,7,9],[2,6],[3,8],[5]] => 11010010 => 01001011
[[1,4,6,8],[2,7,9],[3],[5]] => 11010101 => 10101011
[[1,4,6,8,9],[2,7],[3],[5]] => 11010100 => 00101011
[[1,3,6],[2,5,8],[4,7,9]] => 10100101 => 10100101
[[1,3,6,8],[2,5,9],[4,7]] => 10100101 => 10100101
[[1,3,6,8,9],[2,5],[4,7]] => 10100100 => 00100101
[[1,3,5,7],[2,6,8,9],[4]] => 10101010 => 01010101
[[1,3,5,7,9],[2,6,8],[4]] => 10101010 => 01010101
[[1,3,5,7,8,9],[2,6],[4]] => 10101000 => 00010101
[[1,7],[2,9],[3,10],[4],[5],[6],[8]] => 111110101 => 101011111
[[1,7,9],[2,10],[3],[4],[5],[6],[8]] => 111110101 => 101011111
[[1,6],[2,8],[3,9],[4,10],[5],[7]] => 111101011 => 110101111
[[1,6,9],[2,8],[3,10],[4],[5],[7]] => 111101001 => 100101111
[[1,6,8],[2,9,10],[3],[4],[5],[7]] => 111101010 => 010101111
[[1,6,8,10],[2,9],[3],[4],[5],[7]] => 111101010 => 010101111
[[1,5,9],[2,7],[3,8],[4,10],[6]] => 111010101 => 101010111
[[1,5,8],[2,7,10],[3,9],[4],[6]] => 111010010 => 010010111
[[1,5,8,10],[2,7],[3,9],[4],[6]] => 111010010 => 010010111
[[1,5,7,9],[2,8,10],[3],[4],[6]] => 111010101 => 101010111
[[1,5,7,9,10],[2,8],[3],[4],[6]] => 111010100 => 001010111
[[1,4,8],[2,6,10],[3,7],[5,9]] => 110101010 => 010101011
[[1,4,8,10],[2,6],[3,7],[5,9]] => 110101010 => 010101011
[[1,4,7],[2,6,9],[3,8,10],[5]] => 110100101 => 101001011
[[1,4,7,9],[2,6,10],[3,8],[5]] => 110100101 => 101001011
[[1,4,7,9,10],[2,6],[3,8],[5]] => 110100100 => 001001011
[[1,4,6,8],[2,7,9,10],[3],[5]] => 110101010 => 010101011
[[1,4,6,8,10],[2,7,9],[3],[5]] => 110101010 => 010101011
[[1,4,6,8,9,10],[2,7],[3],[5]] => 110101000 => 000101011
[[1,3,6,9],[2,5,8],[4,7,10]] => 101001001 => 100100101
[[1,3,6,8],[2,5,9,10],[4,7]] => 101001010 => 010100101
[[1,3,6,8,10],[2,5,9],[4,7]] => 101001010 => 010100101
[[1,3,6,8,9,10],[2,5],[4,7]] => 101001000 => 000100101
[[1,3,5,7,9],[2,6,8,10],[4]] => 101010101 => 101010101
[[1,3,5,7,9,10],[2,6,8],[4]] => 101010100 => 001010101
[[1,3,5,7,8,9,10],[2,6],[4]] => 101010000 => 000010101
[[1,3,7],[2,4,8],[5,9],[6,10],[11],[12]] => 10111011111 => 11111011101
[[1,2,3,5,7,10],[4,6,8,11],[9,12]] => 00101011011 => 11011010100
[[1,7],[2,8],[3],[4],[5],[6],[9]] => 11111011 => 11011111
[[1,6],[2,7],[3,8],[4],[5],[9]] => 11110111 => 11101111
[[1,6,8],[2,7],[3],[4],[5],[9]] => 11110101 => 10101111
[[1,5,8],[2,6],[3,7],[4],[9]] => 11101101 => 10110111
[[1,5,7,8],[2,6],[3],[4],[9]] => 11101001 => 10010111
[[1,4,8],[2,5],[3,6],[7,9]] => 11011101 => 10111011
[[1,4,7],[2,5,8],[3,6],[9]] => 11011011 => 11011011
[[1,4,7,8],[2,5],[3,6],[9]] => 11011001 => 10011011
[[1,4,6,8],[2,5,7],[3],[9]] => 11010101 => 10101011
[[1,4,6,7,8],[2,5],[3],[9]] => 11010001 => 10001011
[[1,3,6],[2,4,7],[5,8,9]] => 10110110 => 01101101
[[1,3,6,8],[2,4,7],[5,9]] => 10110101 => 10101101
[[1,3,6,7,8],[2,4],[5,9]] => 10110001 => 10001101
[[1,3,5,7,8],[2,4,6],[9]] => 10101001 => 10010101
[[1,3,5,6,7,8],[2,4],[9]] => 10100001 => 10000101
[[1,2,4,6,7,8],[3,5,9]] => 01010001 => 10001010
[[1,2,4,5,6,7,8],[3,9]] => 01000001 => 10000010
[[1,8],[2,9],[3],[4],[5],[6],[7],[10]] => 111111011 => 110111111
[[1,7,9],[2,8],[3],[4],[5],[6],[10]] => 111110101 => 101011111
[[1,6],[2,7],[3,8],[4,9],[5],[10]] => 111101111 => 111101111
[[1,6,9],[2,7],[3,8],[4],[5],[10]] => 111101101 => 101101111
[[1,6,8],[2,7,9],[3],[4],[5],[10]] => 111101011 => 110101111
[[1,6,8,9],[2,7],[3],[4],[5],[10]] => 111101001 => 100101111
[[1,5,9],[2,6],[3,7],[4,8],[10]] => 111011101 => 101110111
[[1,5,8],[2,6,9],[3,7],[4],[10]] => 111011011 => 110110111
[[1,5,8,9],[2,6],[3,7],[4],[10]] => 111011001 => 100110111
[[1,5,7,9],[2,6,8],[3],[4],[10]] => 111010101 => 101010111
[[1,5,7,8,9],[2,6],[3],[4],[10]] => 111010001 => 100010111
[[1,4,8],[2,5,9],[3,6],[7,10]] => 110111011 => 110111011
[[1,4,8,9],[2,5],[3,6],[7,10]] => 110111001 => 100111011
[[1,4,7,9],[2,5,8],[3,6],[10]] => 110110101 => 101011011
[[1,4,7,8,9],[2,5],[3,6],[10]] => 110110001 => 100011011
[[1,4,6,8],[2,5,7,9],[3],[10]] => 110101011 => 110101011
[[1,4,6,8,9],[2,5,7],[3],[10]] => 110101001 => 100101011
[[1,4,6,7,8,9],[2,5],[3],[10]] => 110100001 => 100001011
[[1,3,6,9],[2,4,7],[5,8,10]] => 101101101 => 101101101
[[1,3,6,8],[2,4,7,9],[5,10]] => 101101011 => 110101101
[[1,3,6,8,9],[2,4,7],[5,10]] => 101101001 => 100101101
[[1,3,6,7,8,9],[2,4],[5,10]] => 101100001 => 100001101
[[1,3,5,7,9],[2,4,6,8],[10]] => 101010101 => 101010101
[[1,3,5,7,8,9],[2,4,6],[10]] => 101010001 => 100010101
[[1,3,5,6,7,8,9],[2,4],[10]] => 101000001 => 100000101
[[1,2,4,6,8,9],[3,5,7,10]] => 010101001 => 100101010
[[1,2,4,6,7,8,9],[3,5,10]] => 010100001 => 100001010
[[1,2,4,5,6,7,8,9],[3,10]] => 010000001 => 100000010
[[1,2],[3,9],[4],[5],[6],[7],[8]] => 01111110 => 01111110
[[1,2],[3,8],[4,9],[5],[6],[7]] => 01111101 => 10111110
[[1,2],[3,7],[4,8],[5,9],[6]] => 01111011 => 11011110
[[1,2,7],[3,8,9],[4],[5],[6]] => 01111010 => 01011110
[[1,2,6],[3,7,9],[4,8],[5]] => 01110110 => 01101110
[[1,2,5],[3,6,8],[4,7,9]] => 01101101 => 10110110
[[1,2,5,7],[3,6,8,9],[4]] => 01101010 => 01010110
[[1,2],[3,10],[4],[5],[6],[7],[8],[9]] => 011111110 => 011111110
[[1,2],[3,9],[4,10],[5],[6],[7],[8]] => 011111101 => 101111110
[[1,2],[3,8],[4,9],[5,10],[6],[7]] => 011111011 => 110111110
[[1,2,8],[3,9,10],[4],[5],[6],[7]] => 011111010 => 010111110
[[1,2,7],[3,8,10],[4,9],[5],[6]] => 011110110 => 011011110
[[1,2,6],[3,7,10],[4,8],[5,9]] => 011101110 => 011101110
[[1,2,6],[3,7,9],[4,8,10],[5]] => 011101101 => 101101110
[[1,2,6,8],[3,7,9,10],[4],[5]] => 011101010 => 010101110
[[1,2,5,8],[3,6,9,10],[4,7]] => 011011010 => 010110110
[[1,2,4,7],[3,5,8],[6,9],[10],[11]] => 0101101111 => 1111011010
[[1,3,7],[2,4,8],[5,9],[6,10],[11]] => 1011101111 => 1111011101
[[1,2,4,8],[3,5,9],[6,10],[7,11]] => 0101110111 => 1110111010
[[1,2,4,8],[3,5,9],[6,10],[7,11],[12]] => 01011101111 => 11110111010
[[1,4,8],[2,5,9],[3,6,10],[7,11]] => 1101110111 => 1110111011
[[1,4,8],[2,5,9],[3,6,10],[7,11],[12]] => 11011101111 => 11110111011
[[1,2,5,9],[3,6,10],[4,7,11],[8,12]] => 01101110111 => 11101110110
[[1,2,5,8],[3,6,9],[4,7,10],[11]] => 0110110111 => 1110110110
[[1,3,6,9],[2,4,7,10],[5,8,11]] => 1011011011 => 1101101101
[[1,3,6,10],[2,4,7,11],[5,8,12],[9,13]] => 101101110111 => 111011101101
[[1,3,6,9],[2,4,7,10],[5,8,11],[12]] => 10110110111 => 11101101101
[[1,3,5,8],[2,4,6,9],[7,10],[11]] => 1010110111 => 1110110101
[[1,2,4,7,10],[3,5,8,11],[6,9,12]] => 01011011011 => 11011011010
[[1,2,4,6,9],[3,5,7,10],[8,11]] => 0101011011 => 1101101010
[[1,2,4,7,10],[3,5,8,11],[6,9,12],[13]] => 010110110111 => 111011011010
[[1,2,4,6,9],[3,5,7,10],[8,11],[12]] => 01010110111 => 11101101010
[[1,2,3,5,8],[4,6,9],[7,10],[11]] => 0010110111 => 1110110100
[[1,3],[2,8],[4,9],[5],[6],[7]] => 10111101 => 10111101
[[1,2,3],[4,9],[5],[6],[7],[8]] => 00111110 => 01111100
[[1,4],[2,7],[3,8],[5,9],[6]] => 11011011 => 11011011
[[1,3,9],[2,4],[5,8],[6],[7]] => 10111100 => 00111101
[[1,2,4],[3,8,9],[5],[6],[7]] => 01011100 => 00111010
[[1,2,3,4],[5,9],[6],[7],[8]] => 00011110 => 01111000
[[1,4,9],[2,5],[3,7],[6,8]] => 11011010 => 01011011
[[1,2,5],[3,4,9],[6,8],[7]] => 01001100 => 00110010
[[1,4,5,9],[2,7],[3,8],[6]] => 11001010 => 01010011
[[1,2,3,5],[4,8,9],[6],[7]] => 00101100 => 00110100
[[1,2,3,4,5],[6,9],[7],[8]] => 00001110 => 01110000
[[1,4,5,6,9],[2,7],[3,8]] => 11000110 => 01100011
[[1,2,4,6],[3,5,8,9],[7]] => 01010100 => 00101010
[[1,2,3,4,6],[5,8,9],[7]] => 00010100 => 00101000
[[1,2,3,4,5,6],[7,9],[8]] => 00000110 => 01100000
[[1,2,3,5,7],[4,6,8,9]] => 00101010 => 01010100
[[1,2,3,4,5,7],[6,8,9]] => 00001010 => 01010000
[[1,3],[2,9],[4,10],[5],[6],[7],[8]] => 101111101 => 101111101
[[1,2,3],[4,10],[5],[6],[7],[8],[9]] => 001111110 => 011111100
[[1,4],[2,8],[3,9],[5,10],[6],[7]] => 110111011 => 110111011
[[1,3,10],[2,4],[5,9],[6],[7],[8]] => 101111100 => 001111101
[[1,2,4],[3,9,10],[5],[6],[7],[8]] => 010111100 => 001111010
[[1,2,3,4],[5,10],[6],[7],[8],[9]] => 000111110 => 011111000
[[1,4,10],[2,5],[3,8],[6,9],[7]] => 110111010 => 010111011
[[1,2,5],[3,4,10],[6,9],[7],[8]] => 010011100 => 001110010
[[1,4,5,10],[2,8],[3,9],[6],[7]] => 110011010 => 010110011
[[1,2,3,5],[4,9,10],[6],[7],[8]] => 001011100 => 001110100
[[1,2,3,4,5],[6,10],[7],[8],[9]] => 000011110 => 011110000
[[1,2,9],[3,5,10],[4,6],[7,8]] => 011011001 => 100110110
[[1,5,6,10],[2,7],[3,8],[4,9]] => 111001110 => 011100111
[[1,3,6],[2,5,9],[4,8,10],[7]] => 101001001 => 100100101
[[1,2,3,10],[4,5,6],[7,9],[8]] => 001001100 => 001100100
[[1,4,5,6,10],[2,8],[3,9],[7]] => 110001010 => 010100011
[[1,2,4,6],[3,5,9,10],[7],[8]] => 010101100 => 001101010
[[1,2,3,4,6],[5,9,10],[7],[8]] => 000101100 => 001101000
[[1,2,3,4,5,6],[7,10],[8],[9]] => 000001110 => 011100000
[[1,3,6,10],[2,4,7],[5,8,9]] => 101101100 => 001101101
[[1,2,4,7],[3,5,6,10],[8,9]] => 010100100 => 001001010
[[1,4,5,6,7,10],[2,8],[3,9]] => 110000110 => 011000011
[[1,2,3,5,7],[4,6,9,10],[8]] => 001010100 => 001010100
[[1,2,3,4,5,7],[6,9,10],[8]] => 000010100 => 001010000
[[1,2,3,4,5,6,7],[8,10],[9]] => 000000110 => 011000000
[[1,2,3,4,6,8],[5,7,9,10]] => 000101010 => 010101000
[[1,2,3,4,5,6,8],[7,9,10]] => 000001010 => 010100000
[[1,3],[2,4],[5,9],[6],[7],[8]] => 10111110 => 01111101
[[1,3,9],[2,4],[5],[6],[7],[8]] => 10111110 => 01111101
[[1,4],[2,5],[3,6],[7,9],[8]] => 11011110 => 01111011
[[1,4,9],[2,5],[3,6],[7],[8]] => 11011110 => 01111011
[[1,2,4],[3,5,9],[6],[7],[8]] => 01011110 => 01111010
[[1,2,4,9],[3,5],[6],[7],[8]] => 01011110 => 01111010
[[1,2,5],[3,6,9],[4,7],[8]] => 01101110 => 01110110
[[1,2,5,9],[3,6],[4,7],[8]] => 01101110 => 01110110
[[1,3,5,9],[2,4,6],[7],[8]] => 10101110 => 01110101
[[1,2,3,5,9],[4,6],[7],[8]] => 00101110 => 01110100
[[1,3,6,9],[2,4,7],[5,8]] => 10110110 => 01101101
[[1,2,3,6,9],[4,7],[5,8]] => 00110110 => 01101100
[[1,2,4,6],[3,5,7,9],[8]] => 01010110 => 01101010
[[1,2,4,6,9],[3,5,7],[8]] => 01010110 => 01101010
[[1,2,3,4,6,9],[5,7],[8]] => 00010110 => 01101000
[[1,3],[2,4],[5,10],[6],[7],[8],[9]] => 101111110 => 011111101
[[1,3,10],[2,4],[5],[6],[7],[8],[9]] => 101111110 => 011111101
[[1,4],[2,5],[3,6],[7,10],[8],[9]] => 110111110 => 011111011
[[1,4,10],[2,5],[3,6],[7],[8],[9]] => 110111110 => 011111011
[[1,2,4],[3,5,10],[6],[7],[8],[9]] => 010111110 => 011111010
[[1,2,4,10],[3,5],[6],[7],[8],[9]] => 010111110 => 011111010
[[1,5,10],[2,6],[3,7],[4,8],[9]] => 111011110 => 011110111
[[1,2,5],[3,6,10],[4,7],[8],[9]] => 011011110 => 011110110
[[1,2,5,10],[3,6],[4,7],[8],[9]] => 011011110 => 011110110
[[1,3,5,10],[2,4,6],[7],[8],[9]] => 101011110 => 011110101
[[1,2,3,5,10],[4,6],[7],[8],[9]] => 001011110 => 011110100
[[1,3,6],[2,4,7],[5,8,10],[9]] => 101101110 => 011101101
[[1,3,6,10],[2,4,7],[5,8],[9]] => 101101110 => 011101101
[[1,2,3,6,10],[4,7],[5,8],[9]] => 001101110 => 011101100
[[1,2,4,6],[3,5,7,10],[8],[9]] => 010101110 => 011101010
[[1,2,4,6,10],[3,5,7],[8],[9]] => 010101110 => 011101010
[[1,2,3,4,6,10],[5,7],[8],[9]] => 000101110 => 011101000
[[1,2,4,7],[3,5,8,10],[6,9]] => 010110110 => 011011010
[[1,2,4,7,10],[3,5,8],[6,9]] => 010110110 => 011011010
[[1,2,3,4,7,10],[5,8],[6,9]] => 000110110 => 011011000
[[1,3,5,7,10],[2,4,6,8],[9]] => 101010110 => 011010101
[[1,2,3,5,7,10],[4,6,8],[9]] => 001010110 => 011010100
[[1,2,3,4,5,7,10],[6,8],[9]] => 000010110 => 011010000
[[1,2,4,6,10],[3,5,7,11],[8,12],[9,13]] => 010101110111 => 111011101010
[[1,2,4,6,9],[3,5,7,10],[8,11],[12],[13]] => 010101101111 => 111101101010
[[1,2,4,6,8],[3,5,7,9],[10],[11],[12]] => 01010101111 => 11110101010
[[1,2,4,6,8],[3,5,7,9],[10],[11]] => 0101010111 => 1110101010
[[1,2,3,6,10],[4,7,11],[5,8,12],[9,13]] => 001101110111 => 111011101100
[[1,2,3,6,9],[4,7,10],[5,8,11],[12],[13]] => 001101101111 => 111101101100
[[1,2,3,6,9],[4,7,10],[5,8,11],[12]] => 00110110111 => 11101101100
[[1,2,3,6,9],[4,7,10],[5,8,11]] => 0011011011 => 1101101100
[[1,2,3,5,9],[4,6,10],[7,11],[8,12],[13]] => 001011101111 => 111101110100
[[1,2,3,5,9],[4,6,10],[7,11],[8,12]] => 00101110111 => 11101110100
[[1,2,3,5,7],[4,6,8],[9],[10],[11]] => 0010101111 => 1111010100
[[1,2,3,4,8],[5,9],[6,10],[7,11],[12]] => 00011101111 => 11110111000
[[1,2,3,4,8],[5,9],[6,10],[7,11]] => 0001110111 => 1110111000
[[1,2,3,4,7],[5,8],[6,9],[10],[11]] => 0001101111 => 1111011000
[[1,3,6,9],[2,4,7,10],[5,8,11],[12],[13]] => 101101101111 => 111101101101
[[1,3,5,9],[2,4,6,10],[7,11],[8,12],[13]] => 101011101111 => 111101110101
[[1,3,5,9],[2,4,6,10],[7,11],[8,12]] => 10101110111 => 11101110101
[[1,3,5,8],[2,4,6,9],[7,10],[11],[12]] => 10101101111 => 11110110101
[[1,3,5,7],[2,4,6,8],[9],[10],[11]] => 1010101111 => 1111010101
[[1,2,5,8],[3,6,9],[4,7,10],[11],[12]] => 01101101111 => 11110110110
[[1,4,7],[2,5,8],[3,6,9],[10],[11]] => 1101101111 => 1111011011
[[1,4],[2,5],[3],[6],[7],[8],[9]] => 11011111 => 11111011
[[1,5],[2,6],[3,7],[4],[8],[9]] => 11101111 => 11110111
[[1,3,5],[2,6],[4],[7],[8],[9]] => 10101111 => 11110101
[[1,3,6],[2,7],[4,8],[5],[9]] => 10110111 => 11101101
[[1,4,6],[2,5,7],[3],[8],[9]] => 11010111 => 11101011
[[1,3,4,6],[2,7],[5],[8],[9]] => 10010111 => 11101001
[[1,3,7],[2,4],[5,8],[6,9]] => 10111011 => 11011101
[[1,4,7],[2,5,8],[3,9],[6]] => 11011011 => 11011011
[[1,3,4,7],[2,8],[5,9],[6]] => 10011011 => 11011001
[[1,3,5,7],[2,6,8],[4],[9]] => 10101011 => 11010101
[[1,3,4,5,7],[2,8],[6],[9]] => 10001011 => 11010001
[[1,3,5,8],[2,6,9],[4,7]] => 10101101 => 10110101
[[1,3,4,5,8],[2,6],[7,9]] => 10001101 => 10110001
[[1,3,4,6,8],[2,7,9],[5]] => 10010101 => 10101001
[[1,3,4,5,6,8],[2,9],[7]] => 10000101 => 10100001
[[1,3,4,5,7,9],[2,6,8]] => 10001010 => 01010001
[[1,3,4,5,6,7,9],[2,8]] => 10000010 => 01000001
[[1,4],[2,5],[3],[6],[7],[8],[9],[10]] => 110111111 => 111111011
[[1,5],[2,6],[3,7],[4],[8],[9],[10]] => 111011111 => 111110111
[[1,3,5],[2,6],[4],[7],[8],[9],[10]] => 101011111 => 111110101
[[1,3,6],[2,7],[4,8],[5],[9],[10]] => 101101111 => 111101101
[[1,4,6],[2,5,7],[3],[8],[9],[10]] => 110101111 => 111101011
[[1,3,4,6],[2,7],[5],[8],[9],[10]] => 100101111 => 111101001
[[1,3,7],[2,8],[4,9],[5,10],[6]] => 101110111 => 111011101
[[1,4,7],[2,5,8],[3,9],[6],[10]] => 110110111 => 111011011
[[1,3,4,7],[2,8],[5,9],[6],[10]] => 100110111 => 111011001
[[1,3,5,7],[2,6,8],[4],[9],[10]] => 101010111 => 111010101
[[1,3,4,5,7],[2,8],[6],[9],[10]] => 100010111 => 111010001
[[1,3,4,8],[2,5],[6,9],[7,10]] => 100111011 => 110111001
[[1,3,5,8],[2,6,9],[4,10],[7]] => 101011011 => 110110101
[[1,3,4,5,8],[2,9],[6,10],[7]] => 100011011 => 110110001
[[1,3,4,6,8],[2,7,9],[5],[10]] => 100101011 => 110101001
[[1,3,4,5,6,8],[2,9],[7],[10]] => 100001011 => 110100001
[[1,4,6,9],[2,5,7,10],[3,8]] => 110101101 => 101101011
[[1,3,4,6,9],[2,7,10],[5,8]] => 100101101 => 101101001
[[1,3,4,5,6,9],[2,7],[8,10]] => 100001101 => 101100001
[[1,3,4,5,7,9],[2,8,10],[6]] => 100010101 => 101010001
[[1,3,4,5,6,7,9],[2,10],[8]] => 100000101 => 101000001
[[1,3,4,6,8,10],[2,5,7,9]] => 100101010 => 010101001
[[1,3,4,5,6,8,10],[2,7,9]] => 100001010 => 010100001
[[1,3,4,5,6,7,8,10],[2,9]] => 100000010 => 010000001
[[1,2,3,7],[4,8],[5,9],[6]] => 00111011 => 11011100
[[1,2,3,5,8],[4,6,9],[7]] => 00101101 => 10110100
[[1,2,3,4,5,8],[6,9],[7]] => 00001101 => 10110000
[[1,2,4,8],[3,5,9],[6,10],[7]] => 010111011 => 110111010
[[1,2,3,4,8],[5,9],[6,10],[7]] => 000111011 => 110111000
[[1,2,3,6,9],[4,7,10],[5,8]] => 001101101 => 101101100
[[1,2,4,6,9],[3,5,7,10],[8]] => 010101101 => 101101010
[[1,2,3,4,6,9],[5,7,10],[8]] => 000101101 => 101101000
[[1,2,3,4,5,6,9],[7,10],[8]] => 000001101 => 101100000
[[1,2,3,4,5,7],[6,9],[8]] => 00001010 => 01010000
[[1,2,3,4,6],[5,7,8,9]] => 00010100 => 00101000
[[1,2,3,4,6],[5,7,9],[8]] => 00010110 => 01101000
[[1,2,3,4,6],[5,8],[7,9]] => 00010101 => 10101000
[[1,2,3,4,6],[5,8],[7],[9]] => 00010101 => 10101000
[[1,2,3,5],[4,6,7,9],[8]] => 00101010 => 01010100
[[1,2,3,5],[4,6,8],[7,9]] => 00101101 => 10110100
[[1,2,3,5],[4,6,8],[7],[9]] => 00101101 => 10110100
[[1,2,3,5],[4,7],[6,9],[8]] => 00101010 => 01010100
[[1,2,3,5],[4,7],[6],[8],[9]] => 00101011 => 11010100
[[1,2,4],[3,5,7],[6,8,9]] => 01011010 => 01011010
[[1,2,4],[3,5,7],[6,9],[8]] => 01011010 => 01011010
[[1,2,4],[3,5,7],[6],[8],[9]] => 01011011 => 11011010
[[1,2,4],[3,6],[5,8],[7,9]] => 01010101 => 10101010
[[1,2,4],[3,6],[5,8],[7],[9]] => 01010101 => 10101010
[[1,2,4],[3,6],[5],[7],[8],[9]] => 01010111 => 11101010
[[1,2,3,4,5,6,8],[7,10],[9]] => 000001010 => 010100000
[[1,2,3,4,5,7],[6,8,9,10]] => 000010100 => 001010000
[[1,2,3,4,5,7],[6,8,10],[9]] => 000010110 => 011010000
[[1,2,3,4,5,7],[6,9],[8,10]] => 000010101 => 101010000
[[1,2,3,4,5,7],[6,9],[8],[10]] => 000010101 => 101010000
[[1,2,3,4,6],[5,7,8,10],[9]] => 000101010 => 010101000
[[1,2,3,4,6],[5,7,9],[8,10]] => 000101101 => 101101000
[[1,2,3,4,6],[5,7,9],[8],[10]] => 000101101 => 101101000
[[1,2,3,4,6],[5,8],[7,10],[9]] => 000101010 => 010101000
[[1,2,3,4,6],[5,8],[7],[9],[10]] => 000101011 => 110101000
[[1,2,3,5],[4,6,7,9],[8,10]] => 001010101 => 101010100
[[1,2,3,5],[4,6,7,9],[8],[10]] => 001010101 => 101010100
[[1,2,3,5],[4,6,8],[7,9,10]] => 001011010 => 010110100
[[1,2,3,5],[4,6,8],[7,10],[9]] => 001011010 => 010110100
[[1,2,3,5],[4,6,8],[7],[9],[10]] => 001011011 => 110110100
[[1,2,3,5],[4,7],[6,9],[8],[10]] => 001010101 => 101010100
[[1,2,3,5],[4,7],[6],[8],[9],[10]] => 001010111 => 111010100
[[1,2,4],[3,5,7],[6,8,10],[9]] => 010110110 => 011011010
[[1,2,4],[3,5,7],[6,9],[8,10]] => 010110101 => 101011010
[[1,2,4],[3,5,7],[6,9],[8],[10]] => 010110101 => 101011010
[[1,2,4],[3,5,7],[6],[8],[9],[10]] => 010110111 => 111011010
[[1,2,4],[3,6],[5,8],[7],[9],[10]] => 010101011 => 110101010
[[1,2,4],[3,6],[5],[7],[8],[9],[10]] => 010101111 => 111101010
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14]] => 1011010101010 => 0101010101101
[[1,5,7,9,11],[2,6,8,10,12],[3],[4]] => 11101010101 => 10101010111
[[1,4,5,6],[2,8,9],[3],[7]] => 11000100 => 00100011
[[1,4,5],[2,7,8],[3,10],[6],[9]] => 110010010 => 010010011
[[1,2,4,5,6,7],[3,8,9]] => 01000010 => 01000010
[[1,2,4,5,6,7,8],[3,9,10]] => 010000010 => 010000010
[[1,3,8],[2,5],[4,7],[6,10],[9]] => 101010010 => 010010101
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14]] => 1010110101010 => 0101010110101
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14]] => 1010101101010 => 0101011010101
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14]] => 1010101011010 => 0101101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14]] => 1010101010110 => 0110101010101
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 101101010101010 => 010101010101101
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 101011010101010 => 010101010110101
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16]] => 101010110101010 => 010101011010101
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16]] => 101010101101010 => 010101101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16]] => 101010101011010 => 010110101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16]] => 101010101010110 => 011010101010101
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]] => 10110101010101010 => 01010101010101101
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]] => 10101101010101010 => 01010101010110101
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18]] => 10101011010101010 => 01010101011010101
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18]] => 10101010110101010 => 01010101101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16],[17,18]] => 10101010101101010 => 01010110101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16],[17,18]] => 10101010101011010 => 01011010101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16],[17,18]] => 10101010101010110 => 01101010101010101
[[1,4,7],[2,6],[3,9],[5],[8]] => 11010010 => 01001011
[[1,6,7],[2,9],[3],[4],[5],[8]] => 11110010 => 01001111
[[1,3,6,7],[2,5,10],[4,9],[8]] => 101000100 => 001000101
[[1,5,6,7],[2,9,10],[3],[4],[8]] => 111000100 => 001000111
[[1,5,8],[2,7],[3,10],[4],[6],[9]] => 111010010 => 010010111
[[1,7,8],[2,10],[3],[4],[5],[6],[9]] => 111110010 => 010011111
[[1,5,7,8],[2,6,9,10],[3],[4]] => 111010010 => 010010111
[[1,5,6,9],[2,7,8,10],[3],[4]] => 111001001 => 100100111
[[1,5,6,8],[2,7,9,10],[3],[4]] => 111001010 => 010100111
[[1,5,6,7],[2,8,9,10],[3],[4]] => 111000100 => 001000111
[[1,4,7,9],[2,6,8,10],[3],[5]] => 110100101 => 101001011
[[1,4,7,8],[2,6,9,10],[3],[5]] => 110100010 => 010001011
[[1,4,6,9],[2,7,8,10],[3],[5]] => 110101001 => 100101011
[[1,4,6,7],[2,8,9,10],[3],[5]] => 110100100 => 001001011
[[1,4,5,9],[2,7,8,10],[3],[6]] => 110010001 => 100010011
[[1,4,5,8],[2,7,9,10],[3],[6]] => 110010010 => 010010011
[[1,4,5,7],[2,8,9,10],[3],[6]] => 110010100 => 001010011
[[1,3,7,9],[2,5,8,10],[4],[6]] => 101010101 => 101010101
[[1,3,7,8],[2,5,9,10],[4],[6]] => 101010010 => 010010101
[[1,3,6,9],[2,5,8,10],[4],[7]] => 101001001 => 100100101
[[1,3,6,8],[2,5,9,10],[4],[7]] => 101001010 => 010100101
[[1,3,6,7],[2,5,9,10],[4],[8]] => 101000100 => 001000101
[[1,3,7,9],[2,6,8,10],[4],[5]] => 101100101 => 101001101
[[1,3,7,8],[2,6,9,10],[4],[5]] => 101100010 => 010001101
[[1,3,6,9],[2,7,8,10],[4],[5]] => 101101001 => 100101101
[[1,3,6,8],[2,7,9,10],[4],[5]] => 101101010 => 010101101
[[1,3,5,9],[2,7,8,10],[4],[6]] => 101010001 => 100010101
[[1,3,5,8],[2,7,9,10],[4],[6]] => 101010010 => 010010101
[[1,3,5,7],[2,8,9,10],[4],[6]] => 101010100 => 001010101
[[1,3,5,6],[2,8,9,10],[4],[7]] => 101001000 => 000100101
[[1,3,4,9],[2,6,7,10],[5],[8]] => 100100101 => 101001001
[[1,3,4,8],[2,6,7,10],[5],[9]] => 100100010 => 010001001
[[1,3,4,9],[2,6,8,10],[5],[7]] => 100101001 => 100101001
[[1,3,4,8],[2,6,9,10],[5],[7]] => 100101010 => 010101001
[[1,3,4,7],[2,6,9,10],[5],[8]] => 100100100 => 001001001
[[1,3,4,9],[2,7,8,10],[5],[6]] => 100110001 => 100011001
[[1,3,4,8],[2,7,9,10],[5],[6]] => 100110010 => 010011001
[[1,3,4,7],[2,8,9,10],[5],[6]] => 100110100 => 001011001
[[1,3,4,6],[2,8,9,10],[5],[7]] => 100101000 => 000101001
[[1,3,4,5],[2,7,8,10],[6],[9]] => 100010010 => 010010001
[[1,3,4,5],[2,7,9,10],[6],[8]] => 100010100 => 001010001
[[1,3,4,5],[2,8,9,10],[6],[7]] => 100011000 => 000110001
[[1,5,7,9,10],[2,6,8,11,12],[3],[4]] => 11101010010 => 01001010111
[[1,5,7,8,11],[2,6,9,10,12],[3],[4]] => 11101001001 => 10010010111
[[1,5,7,8,10],[2,6,9,11,12],[3],[4]] => 11101001010 => 01010010111
[[1,5,7,8,9],[2,6,10,11,12],[3],[4]] => 11101000100 => 00100010111
[[1,5,6,9,11],[2,7,8,10,12],[3],[4]] => 11100100101 => 10100100111
[[1,5,6,8,11],[2,7,9,10,12],[3],[4]] => 11100101001 => 10010100111
[[1,5,6,8,10],[2,7,9,11,12],[3],[4]] => 11100101010 => 01010100111
[[1,5,6,8,9],[2,7,10,11,12],[3],[4]] => 11100100100 => 00100100111
[[1,5,6,7,11],[2,8,9,10,12],[3],[4]] => 11100010001 => 10001000111
[[1,5,6,7,9],[2,8,10,11,12],[3],[4]] => 11100010100 => 00101000111
[[1,4,7,9,11],[2,6,8,10,12],[3],[5]] => 11010010101 => 10101001011
[[1,4,7,9,10],[2,6,8,11,12],[3],[5]] => 11010010010 => 01001001011
[[1,4,7,8,11],[2,6,9,10,12],[3],[5]] => 11010001001 => 10010001011
[[1,4,7,8,10],[2,6,9,11,12],[3],[5]] => 11010001010 => 01010001011
[[1,4,7,8,9],[2,6,10,11,12],[3],[5]] => 11010000100 => 00100001011
[[1,4,6,9,11],[2,7,8,10,12],[3],[5]] => 11010100101 => 10100101011
[[1,4,6,9,10],[2,7,8,11,12],[3],[5]] => 11010100010 => 01000101011
[[1,4,6,8,11],[2,7,9,10,12],[3],[5]] => 11010101001 => 10010101011
[[1,4,6,8,10],[2,7,9,11,12],[3],[5]] => 11010101010 => 01010101011
[[1,4,6,8,9],[2,7,10,11,12],[3],[5]] => 11010100100 => 00100101011
[[1,4,6,7,11],[2,8,9,10,12],[3],[5]] => 11010010001 => 10001001011
[[1,4,6,7,10],[2,8,9,11,12],[3],[5]] => 11010010010 => 01001001011
[[1,4,6,7,9],[2,8,10,11,12],[3],[5]] => 11010010100 => 00101001011
[[1,4,6,7,8],[2,9,10,11,12],[3],[5]] => 11010001000 => 00010001011
[[1,4,5,9,11],[2,7,8,10,12],[3],[6]] => 11001000101 => 10100010011
[[1,4,5,9,10],[2,7,8,11,12],[3],[6]] => 11001000010 => 01000010011
[[1,4,5,8,11],[2,7,9,10,12],[3],[6]] => 11001001001 => 10010010011
[[1,4,5,8,10],[2,7,9,11,12],[3],[6]] => 11001001010 => 01010010011
[[1,4,5,8,9],[2,7,10,11,12],[3],[6]] => 11001000100 => 00100010011
[[1,4,5,7,11],[2,8,9,10,12],[3],[6]] => 11001010001 => 10001010011
[[1,4,5,7,10],[2,8,9,11,12],[3],[6]] => 11001010010 => 01001010011
[[1,4,5,7,9],[2,8,10,11,12],[3],[6]] => 11001010100 => 00101010011
[[1,4,5,7,8],[2,9,10,11,12],[3],[6]] => 11001001000 => 00010010011
[[1,4,5,6,11],[2,8,9,10,12],[3],[7]] => 11000100001 => 10000100011
[[1,4,5,6,10],[2,8,9,11,12],[3],[7]] => 11000100010 => 01000100011
[[1,4,5,6,9],[2,8,10,11,12],[3],[7]] => 11000100100 => 00100100011
[[1,4,5,6,8],[2,9,10,11,12],[3],[7]] => 11000101000 => 00010100011
[[1,3,7,9,11],[2,5,8,10,12],[4],[6]] => 10101010101 => 10101010101
[[1,3,7,9,10],[2,5,8,11,12],[4],[6]] => 10101010010 => 01001010101
[[1,3,7,8,11],[2,5,9,10,12],[4],[6]] => 10101001001 => 10010010101
[[1,3,7,8,10],[2,5,9,11,12],[4],[6]] => 10101001010 => 01010010101
[[1,3,7,8,9],[2,5,10,11,12],[4],[6]] => 10101000100 => 00100010101
[[1,3,6,9,11],[2,5,8,10,12],[4],[7]] => 10100100101 => 10100100101
[[1,3,6,9,10],[2,5,8,11,12],[4],[7]] => 10100100010 => 01000100101
[[1,3,6,8,11],[2,5,9,10,12],[4],[7]] => 10100101001 => 10010100101
[[1,3,6,8,10],[2,5,9,11,12],[4],[7]] => 10100101010 => 01010100101
[[1,3,6,8,9],[2,5,10,11,12],[4],[7]] => 10100100100 => 00100100101
[[1,3,6,7,11],[2,5,9,10,12],[4],[8]] => 10100010001 => 10001000101
[[1,3,6,7,10],[2,5,9,11,12],[4],[8]] => 10100010010 => 01001000101
[[1,3,6,7,9],[2,5,10,11,12],[4],[8]] => 10100010100 => 00101000101
[[1,3,6,7,8],[2,5,10,11,12],[4],[9]] => 10100001000 => 00010000101
[[1,3,7,9,11],[2,6,8,10,12],[4],[5]] => 10110010101 => 10101001101
[[1,3,6,9,11],[2,7,8,10,12],[4],[5]] => 10110100101 => 10100101101
[[1,3,6,8,11],[2,7,9,10,12],[4],[5]] => 10110101001 => 10010101101
[[1,3,6,8,10],[2,7,9,11,12],[4],[5]] => 10110101010 => 01010101101
[[1,3,6,8,9],[2,7,10,11,12],[4],[5]] => 10110100100 => 00100101101
[[1,3,6,7,9],[2,8,10,11,12],[4],[5]] => 10110010100 => 00101001101
[[1,3,5,9,11],[2,7,8,10,12],[4],[6]] => 10101000101 => 10100010101
[[1,3,5,9,10],[2,7,8,11,12],[4],[6]] => 10101000010 => 01000010101
[[1,3,5,8,11],[2,7,9,10,12],[4],[6]] => 10101001001 => 10010010101
[[1,3,5,8,10],[2,7,9,11,12],[4],[6]] => 10101001010 => 01010010101
[[1,3,5,8,9],[2,7,10,11,12],[4],[6]] => 10101000100 => 00100010101
[[1,3,5,7,11],[2,8,9,10,12],[4],[6]] => 10101010001 => 10001010101
[[1,3,5,7,10],[2,8,9,11,12],[4],[6]] => 10101010010 => 01001010101
[[1,3,5,7,9],[2,8,10,11,12],[4],[6]] => 10101010100 => 00101010101
[[1,3,5,7,8],[2,9,10,11,12],[4],[6]] => 10101001000 => 00010010101
[[1,3,5,6,11],[2,8,9,10,12],[4],[7]] => 10100100001 => 10000100101
[[1,3,5,6,10],[2,8,9,11,12],[4],[7]] => 10100100010 => 01000100101
[[1,3,5,6,9],[2,8,10,11,12],[4],[7]] => 10100100100 => 00100100101
[[1,3,5,6,8],[2,9,10,11,12],[4],[7]] => 10100101000 => 00010100101
[[1,3,5,6,7],[2,9,10,11,12],[4],[8]] => 10100010000 => 00001000101
[[1,3,4,9,11],[2,6,7,10,12],[5],[8]] => 10010010101 => 10101001001
[[1,3,4,9,10],[2,6,7,11,12],[5],[8]] => 10010010010 => 01001001001
[[1,3,4,8,11],[2,6,7,10,12],[5],[9]] => 10010001001 => 10010001001
[[1,3,4,8,10],[2,6,7,11,12],[5],[9]] => 10010001010 => 01010001001
[[1,3,4,8,9],[2,6,7,11,12],[5],[10]] => 10010000100 => 00100001001
[[1,3,4,9,11],[2,6,8,10,12],[5],[7]] => 10010100101 => 10100101001
[[1,3,4,9,10],[2,6,8,11,12],[5],[7]] => 10010100010 => 01000101001
[[1,3,4,8,11],[2,6,9,10,12],[5],[7]] => 10010101001 => 10010101001
[[1,3,4,8,10],[2,6,9,11,12],[5],[7]] => 10010101010 => 01010101001
[[1,3,4,8,9],[2,6,10,11,12],[5],[7]] => 10010100100 => 00100101001
[[1,3,4,7,11],[2,6,9,10,12],[5],[8]] => 10010010001 => 10001001001
[[1,3,4,7,10],[2,6,9,11,12],[5],[8]] => 10010010010 => 01001001001
[[1,3,4,7,9],[2,6,10,11,12],[5],[8]] => 10010010100 => 00101001001
[[1,3,4,7,8],[2,6,10,11,12],[5],[9]] => 10010001000 => 00010001001
[[1,3,4,7,9],[2,8,10,11,12],[5],[6]] => 10011010100 => 00101011001
[[1,3,4,6,11],[2,8,9,10,12],[5],[7]] => 10010100001 => 10000101001
[[1,3,4,6,10],[2,8,9,11,12],[5],[7]] => 10010100010 => 01000101001
[[1,3,4,6,9],[2,8,10,11,12],[5],[7]] => 10010100100 => 00100101001
[[1,3,4,6,8],[2,9,10,11,12],[5],[7]] => 10010101000 => 00010101001
[[1,3,4,6,7],[2,9,10,11,12],[5],[8]] => 10010010000 => 00001001001
[[1,3,4,5,11],[2,7,8,9,12],[6],[10]] => 10001000101 => 10100010001
[[1,3,4,5,10],[2,7,8,9,12],[6],[11]] => 10001000010 => 01000010001
[[1,3,4,5,11],[2,7,8,10,12],[6],[9]] => 10001001001 => 10010010001
[[1,3,4,5,10],[2,7,8,11,12],[6],[9]] => 10001001010 => 01010010001
[[1,3,4,5,9],[2,7,8,11,12],[6],[10]] => 10001000100 => 00100010001
[[1,3,4,5,11],[2,7,9,10,12],[6],[8]] => 10001010001 => 10001010001
[[1,3,4,5,10],[2,7,9,11,12],[6],[8]] => 10001010010 => 01001010001
[[1,3,4,5,9],[2,7,10,11,12],[6],[8]] => 10001010100 => 00101010001
[[1,3,4,5,8],[2,7,10,11,12],[6],[9]] => 10001001000 => 00010010001
[[1,3,4,5,7],[2,9,10,11,12],[6],[8]] => 10001010000 => 00001010001
[[1,3,4,5,6],[2,8,9,10,11],[7],[12]] => 10000100001 => 10000100001
[[1,3,4,5,6],[2,8,9,10,12],[7],[11]] => 10000100010 => 01000100001
[[1,3,4,5,6],[2,8,9,11,12],[7],[10]] => 10000100100 => 00100100001
[[1,3,4,5,6],[2,8,10,11,12],[7],[9]] => 10000101000 => 00010100001
[[1,3,4,5,6,7],[2,9,10,11,12],[8]] => 10000010000 => 00001000001
[[1,6,7,8,9],[2,10],[3],[4],[5]] => 111100001 => 100001111
[[1,2,3],[4,7,8],[5],[6],[9]] => 00111001 => 10011100
[[1,2,3],[4,8,9],[5],[6],[7],[10]] => 001111001 => 100111100
[[1,4,5,6,7,8],[2,9],[3]] => 11000001 => 10000011
[[1,2,3,5,6],[4,7,8,9]] => 00100100 => 00100100
[[1,2,5,6,7],[3,4,8],[9]] => 01000011 => 11000010
[[1,3,5,6,7],[2,8],[4,9]] => 10100011 => 11000101
[[1,5,6,7,8],[2,9],[3],[4]] => 11100001 => 10000111
[[1,2,3,6],[4,5,7,8],[9]] => 00100101 => 10100100
[[1,3,6,7],[2,4,8],[5,9]] => 10110011 => 11001101
[[1,2,3,6],[4,7,8],[5],[9]] => 00110101 => 10101100
[[1,4,6,7],[2,8],[3,9],[5]] => 11010011 => 11001011
[[1,6,7,8],[2,9],[3],[4],[5]] => 11110001 => 10001111
[[1,3,7],[2,5],[4,8],[6,9]] => 10101011 => 11010101
[[1,5,7],[2,8],[3,9],[4],[6]] => 11101011 => 11010111
[[1,7,8],[2,9],[3],[4],[5],[6]] => 11111001 => 10011111
[[1,4],[2,6],[3,8],[5,9],[7]] => 11010101 => 10101011
[[1,4,5,6,7,8,9],[2,10],[3]] => 110000001 => 100000011
[[1,2,3,5,6,7],[4,8,9,10]] => 001000100 => 001000100
[[1,2,5,6,7,8],[3,4,9],[10]] => 010000011 => 110000010
[[1,3,5,6,7,8],[2,9],[4,10]] => 101000011 => 110000101
[[1,5,6,7,8,9],[2,10],[3],[4]] => 111000001 => 100000111
[[1,2,3,6,7],[4,5,8,9],[10]] => 001000101 => 101000100
[[1,3,6,7,8],[2,4,9],[5,10]] => 101100011 => 110001101
[[1,2,3,6,7],[4,8,9],[5],[10]] => 001100101 => 101001100
[[1,4,6,7,8],[2,9],[3,10],[5]] => 110100011 => 110001011
[[1,3,4,7],[2,5,6,8],[9,10]] => 100100110 => 011001001
[[1,2,3,4],[5,7,8,9],[6],[10]] => 000110001 => 100011000
[[1,2,4,7],[3,5,8],[6,9,10]] => 010110110 => 011011010
[[1,4,7,8],[2,5,9],[3,6],[10]] => 110110011 => 110011011
[[1,2,3,7],[4,8,9],[5],[6],[10]] => 001110101 => 101011100
[[1,3,7,8],[2,5],[4,9],[6,10]] => 101010011 => 110010101
[[1,5,7,8],[2,9],[3,10],[4],[6]] => 111010011 => 110010111
[[1,7,8,9],[2,10],[3],[4],[5],[6]] => 111110001 => 100011111
[[1,2,5],[3,4,8],[6,7,9],[10]] => 010010011 => 110010010
[[1,3,8],[2,5,9],[4,6],[7,10]] => 101011011 => 110110101
[[1,4,8],[2,6],[3,9],[5,10],[7]] => 110101011 => 110101011
[[1,6,8],[2,9],[3,10],[4],[5],[7]] => 111101011 => 110101111
[[1,8,9],[2,10],[3],[4],[5],[6],[7]] => 111111001 => 100111111
[[1,5],[2,7],[3,9],[4,10],[6],[8]] => 111010101 => 101010111
Map
descent word
Description
The descent word of a standard Young tableau.
For a standard Young tableau of size $n$ we set $w_i=1$ if $i+1$ is in a lower row than $i$, and $0$ otherwise, for $1\leq i < n$.
Map
reverse
Description
Return the reversal of a binary word.