************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 The FindStatCrew * * * * This information is distributed in the hope that it will be * * useful, but WITHOUT ANY WARRANTY; without even the implied * * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00134 ------------------------------------------------------------------------ Map name: descent word ------------------------------------------------------------------------ Domain: Standard tableaux ------------------------------------------------------------------------ Codomain: Binary words ------------------------------------------------------------------------ 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 $1\leq i < n$. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(X): D = X.standard_descents() w = [1 if i in D else 0 for i in range(1, X.size())] return Words([0,1])(w) ------------------------------------------------------------------------ Map images: [[1]] => [[1,2]] => 0 [[1],[2]] => 1 [[1,2,3]] => 00 [[1,3],[2]] => 10 [[1,2],[3]] => 01 [[1],[2],[3]] => 11 [[1,2,3,4]] => 000 [[1,3,4],[2]] => 100 [[1,2,4],[3]] => 010 [[1,2,3],[4]] => 001 [[1,3],[2,4]] => 101 [[1,2],[3,4]] => 010 [[1,4],[2],[3]] => 110 [[1,3],[2],[4]] => 101 [[1,2],[3],[4]] => 011 [[1],[2],[3],[4]] => 111 [[1,2,3,4,5]] => 0000 [[1,3,4,5],[2]] => 1000 [[1,2,4,5],[3]] => 0100 [[1,2,3,5],[4]] => 0010 [[1,2,3,4],[5]] => 0001 [[1,3,5],[2,4]] => 1010 [[1,2,5],[3,4]] => 0100 [[1,3,4],[2,5]] => 1001 [[1,2,4],[3,5]] => 0101 [[1,2,3],[4,5]] => 0010 [[1,4,5],[2],[3]] => 1100 [[1,3,5],[2],[4]] => 1010 [[1,2,5],[3],[4]] => 0110 [[1,3,4],[2],[5]] => 1001 [[1,2,4],[3],[5]] => 0101 [[1,2,3],[4],[5]] => 0011 [[1,4],[2,5],[3]] => 1101 [[1,3],[2,5],[4]] => 1010 [[1,2],[3,5],[4]] => 0110 [[1,3],[2,4],[5]] => 1011 [[1,2],[3,4],[5]] => 0101 [[1,5],[2],[3],[4]] => 1110 [[1,4],[2],[3],[5]] => 1101 [[1,3],[2],[4],[5]] => 1011 [[1,2],[3],[4],[5]] => 0111 [[1],[2],[3],[4],[5]] => 1111 [[1,2,3,4,5,6]] => 00000 [[1,3,4,5,6],[2]] => 10000 [[1,2,4,5,6],[3]] => 01000 [[1,2,3,5,6],[4]] => 00100 [[1,2,3,4,6],[5]] => 00010 [[1,2,3,4,5],[6]] => 00001 [[1,3,5,6],[2,4]] => 10100 [[1,2,5,6],[3,4]] => 01000 [[1,3,4,6],[2,5]] => 10010 [[1,2,4,6],[3,5]] => 01010 [[1,2,3,6],[4,5]] => 00100 [[1,3,4,5],[2,6]] => 10001 [[1,2,4,5],[3,6]] => 01001 [[1,2,3,5],[4,6]] => 00101 [[1,2,3,4],[5,6]] => 00010 [[1,4,5,6],[2],[3]] => 11000 [[1,3,5,6],[2],[4]] => 10100 [[1,2,5,6],[3],[4]] => 01100 [[1,3,4,6],[2],[5]] => 10010 [[1,2,4,6],[3],[5]] => 01010 [[1,2,3,6],[4],[5]] => 00110 [[1,3,4,5],[2],[6]] => 10001 [[1,2,4,5],[3],[6]] => 01001 [[1,2,3,5],[4],[6]] => 00101 [[1,2,3,4],[5],[6]] => 00011 [[1,3,5],[2,4,6]] => 10101 [[1,2,5],[3,4,6]] => 01001 [[1,3,4],[2,5,6]] => 10010 [[1,2,4],[3,5,6]] => 01010 [[1,2,3],[4,5,6]] => 00100 [[1,4,6],[2,5],[3]] => 11010 [[1,3,6],[2,5],[4]] => 10100 [[1,2,6],[3,5],[4]] => 01100 [[1,3,6],[2,4],[5]] => 10110 [[1,2,6],[3,4],[5]] => 01010 [[1,4,5],[2,6],[3]] => 11001 [[1,3,5],[2,6],[4]] => 10101 [[1,2,5],[3,6],[4]] => 01101 [[1,3,4],[2,6],[5]] => 10010 [[1,2,4],[3,6],[5]] => 01010 [[1,2,3],[4,6],[5]] => 00110 [[1,3,5],[2,4],[6]] => 10101 [[1,2,5],[3,4],[6]] => 01001 [[1,3,4],[2,5],[6]] => 10011 [[1,2,4],[3,5],[6]] => 01011 [[1,2,3],[4,5],[6]] => 00101 [[1,5,6],[2],[3],[4]] => 11100 [[1,4,6],[2],[3],[5]] => 11010 [[1,3,6],[2],[4],[5]] => 10110 [[1,2,6],[3],[4],[5]] => 01110 [[1,4,5],[2],[3],[6]] => 11001 [[1,3,5],[2],[4],[6]] => 10101 [[1,2,5],[3],[4],[6]] => 01101 [[1,3,4],[2],[5],[6]] => 10011 [[1,2,4],[3],[5],[6]] => 01011 [[1,2,3],[4],[5],[6]] => 00111 [[1,4],[2,5],[3,6]] => 11011 [[1,3],[2,5],[4,6]] => 10101 [[1,2],[3,5],[4,6]] => 01101 [[1,3],[2,4],[5,6]] => 10110 [[1,2],[3,4],[5,6]] => 01010 [[1,5],[2,6],[3],[4]] => 11101 [[1,4],[2,6],[3],[5]] => 11010 [[1,3],[2,6],[4],[5]] => 10110 [[1,2],[3,6],[4],[5]] => 01110 [[1,4],[2,5],[3],[6]] => 11011 [[1,3],[2,5],[4],[6]] => 10101 [[1,2],[3,5],[4],[6]] => 01101 [[1,3],[2,4],[5],[6]] => 10111 [[1,2],[3,4],[5],[6]] => 01011 [[1,6],[2],[3],[4],[5]] => 11110 [[1,5],[2],[3],[4],[6]] => 11101 [[1,4],[2],[3],[5],[6]] => 11011 [[1,3],[2],[4],[5],[6]] => 10111 [[1,2],[3],[4],[5],[6]] => 01111 [[1],[2],[3],[4],[5],[6]] => 11111 [[1,2,3,4,5,6,7]] => 000000 [[1,3,4,5,6,7],[2]] => 100000 [[1,2,4,5,6,7],[3]] => 010000 [[1,2,3,5,6,7],[4]] => 001000 [[1,2,3,4,6,7],[5]] => 000100 [[1,2,3,4,5,7],[6]] => 000010 [[1,2,3,4,5,6],[7]] => 000001 [[1,3,5,6,7],[2,4]] => 101000 [[1,2,5,6,7],[3,4]] => 010000 [[1,3,4,6,7],[2,5]] => 100100 [[1,2,4,6,7],[3,5]] => 010100 [[1,2,3,6,7],[4,5]] => 001000 [[1,3,4,5,7],[2,6]] => 100010 [[1,2,4,5,7],[3,6]] => 010010 [[1,2,3,5,7],[4,6]] => 001010 [[1,2,3,4,7],[5,6]] => 000100 [[1,3,4,5,6],[2,7]] => 100001 [[1,2,4,5,6],[3,7]] => 010001 [[1,2,3,5,6],[4,7]] => 001001 [[1,2,3,4,6],[5,7]] => 000101 [[1,2,3,4,5],[6,7]] => 000010 [[1,4,5,6,7],[2],[3]] => 110000 [[1,3,5,6,7],[2],[4]] => 101000 [[1,2,5,6,7],[3],[4]] => 011000 [[1,3,4,6,7],[2],[5]] => 100100 [[1,2,4,6,7],[3],[5]] => 010100 [[1,2,3,6,7],[4],[5]] => 001100 [[1,3,4,5,7],[2],[6]] => 100010 [[1,2,4,5,7],[3],[6]] => 010010 [[1,2,3,5,7],[4],[6]] => 001010 [[1,2,3,4,7],[5],[6]] => 000110 [[1,3,4,5,6],[2],[7]] => 100001 [[1,2,4,5,6],[3],[7]] => 010001 [[1,2,3,5,6],[4],[7]] => 001001 [[1,2,3,4,6],[5],[7]] => 000101 [[1,2,3,4,5],[6],[7]] => 000011 [[1,3,5,7],[2,4,6]] => 101010 [[1,2,5,7],[3,4,6]] => 010010 [[1,3,4,7],[2,5,6]] => 100100 [[1,2,4,7],[3,5,6]] => 010100 [[1,2,3,7],[4,5,6]] => 001000 [[1,3,5,6],[2,4,7]] => 101001 [[1,2,5,6],[3,4,7]] => 010001 [[1,3,4,6],[2,5,7]] => 100101 [[1,2,4,6],[3,5,7]] => 010101 [[1,2,3,6],[4,5,7]] => 001001 [[1,3,4,5],[2,6,7]] => 100010 [[1,2,4,5],[3,6,7]] => 010010 [[1,2,3,5],[4,6,7]] => 001010 [[1,2,3,4],[5,6,7]] => 000100 [[1,4,6,7],[2,5],[3]] => 110100 [[1,3,6,7],[2,5],[4]] => 101000 [[1,2,6,7],[3,5],[4]] => 011000 [[1,3,6,7],[2,4],[5]] => 101100 [[1,2,6,7],[3,4],[5]] => 010100 [[1,4,5,7],[2,6],[3]] => 110010 [[1,3,5,7],[2,6],[4]] => 101010 [[1,2,5,7],[3,6],[4]] => 011010 [[1,3,4,7],[2,6],[5]] => 100100 [[1,2,4,7],[3,6],[5]] => 010100 [[1,2,3,7],[4,6],[5]] => 001100 [[1,3,5,7],[2,4],[6]] => 101010 [[1,2,5,7],[3,4],[6]] => 010010 [[1,3,4,7],[2,5],[6]] => 100110 [[1,2,4,7],[3,5],[6]] => 010110 [[1,2,3,7],[4,5],[6]] => 001010 [[1,4,5,6],[2,7],[3]] => 110001 [[1,3,5,6],[2,7],[4]] => 101001 [[1,2,5,6],[3,7],[4]] => 011001 [[1,3,4,6],[2,7],[5]] => 100101 [[1,2,4,6],[3,7],[5]] => 010101 [[1,2,3,6],[4,7],[5]] => 001101 [[1,3,4,5],[2,7],[6]] => 100010 [[1,2,4,5],[3,7],[6]] => 010010 [[1,2,3,5],[4,7],[6]] => 001010 [[1,2,3,4],[5,7],[6]] => 000110 [[1,3,5,6],[2,4],[7]] => 101001 [[1,2,5,6],[3,4],[7]] => 010001 [[1,3,4,6],[2,5],[7]] => 100101 [[1,2,4,6],[3,5],[7]] => 010101 [[1,2,3,6],[4,5],[7]] => 001001 [[1,3,4,5],[2,6],[7]] => 100011 [[1,2,4,5],[3,6],[7]] => 010011 [[1,2,3,5],[4,6],[7]] => 001011 [[1,2,3,4],[5,6],[7]] => 000101 [[1,5,6,7],[2],[3],[4]] => 111000 [[1,4,6,7],[2],[3],[5]] => 110100 [[1,3,6,7],[2],[4],[5]] => 101100 [[1,2,6,7],[3],[4],[5]] => 011100 [[1,4,5,7],[2],[3],[6]] => 110010 [[1,3,5,7],[2],[4],[6]] => 101010 [[1,2,5,7],[3],[4],[6]] => 011010 [[1,3,4,7],[2],[5],[6]] => 100110 [[1,2,4,7],[3],[5],[6]] => 010110 [[1,2,3,7],[4],[5],[6]] => 001110 [[1,4,5,6],[2],[3],[7]] => 110001 [[1,3,5,6],[2],[4],[7]] => 101001 [[1,2,5,6],[3],[4],[7]] => 011001 [[1,3,4,6],[2],[5],[7]] => 100101 [[1,2,4,6],[3],[5],[7]] => 010101 [[1,2,3,6],[4],[5],[7]] => 001101 [[1,3,4,5],[2],[6],[7]] => 100011 [[1,2,4,5],[3],[6],[7]] => 010011 [[1,2,3,5],[4],[6],[7]] => 001011 [[1,2,3,4],[5],[6],[7]] => 000111 [[1,4,6],[2,5,7],[3]] => 110101 [[1,3,6],[2,5,7],[4]] => 101001 [[1,2,6],[3,5,7],[4]] => 011001 [[1,3,6],[2,4,7],[5]] => 101101 [[1,2,6],[3,4,7],[5]] => 010101 [[1,4,5],[2,6,7],[3]] => 110010 [[1,3,5],[2,6,7],[4]] => 101010 [[1,2,5],[3,6,7],[4]] => 011010 [[1,3,4],[2,6,7],[5]] => 100100 [[1,2,4],[3,6,7],[5]] => 010100 [[1,2,3],[4,6,7],[5]] => 001100 [[1,3,5],[2,4,7],[6]] => 101010 [[1,2,5],[3,4,7],[6]] => 010010 [[1,3,4],[2,5,7],[6]] => 100110 [[1,2,4],[3,5,7],[6]] => 010110 [[1,2,3],[4,5,7],[6]] => 001010 [[1,3,5],[2,4,6],[7]] => 101011 [[1,2,5],[3,4,6],[7]] => 010011 [[1,3,4],[2,5,6],[7]] => 100101 [[1,2,4],[3,5,6],[7]] => 010101 [[1,2,3],[4,5,6],[7]] => 001001 [[1,4,7],[2,5],[3,6]] => 110110 [[1,3,7],[2,5],[4,6]] => 101010 [[1,2,7],[3,5],[4,6]] => 011010 [[1,3,7],[2,4],[5,6]] => 101100 [[1,2,7],[3,4],[5,6]] => 010100 [[1,4,6],[2,5],[3,7]] => 110101 [[1,3,6],[2,5],[4,7]] => 101001 [[1,2,6],[3,5],[4,7]] => 011001 [[1,3,6],[2,4],[5,7]] => 101101 [[1,2,6],[3,4],[5,7]] => 010101 [[1,4,5],[2,6],[3,7]] => 110011 [[1,3,5],[2,6],[4,7]] => 101011 [[1,2,5],[3,6],[4,7]] => 011011 [[1,3,4],[2,6],[5,7]] => 100101 [[1,2,4],[3,6],[5,7]] => 010101 [[1,2,3],[4,6],[5,7]] => 001101 [[1,3,5],[2,4],[6,7]] => 101010 [[1,2,5],[3,4],[6,7]] => 010010 [[1,3,4],[2,5],[6,7]] => 100110 [[1,2,4],[3,5],[6,7]] => 010110 [[1,2,3],[4,5],[6,7]] => 001010 [[1,5,7],[2,6],[3],[4]] => 111010 [[1,4,7],[2,6],[3],[5]] => 110100 [[1,3,7],[2,6],[4],[5]] => 101100 [[1,2,7],[3,6],[4],[5]] => 011100 [[1,4,7],[2,5],[3],[6]] => 110110 [[1,3,7],[2,5],[4],[6]] => 101010 [[1,2,7],[3,5],[4],[6]] => 011010 [[1,3,7],[2,4],[5],[6]] => 101110 [[1,2,7],[3,4],[5],[6]] => 010110 [[1,5,6],[2,7],[3],[4]] => 111001 [[1,4,6],[2,7],[3],[5]] => 110101 [[1,3,6],[2,7],[4],[5]] => 101101 [[1,2,6],[3,7],[4],[5]] => 011101 [[1,4,5],[2,7],[3],[6]] => 110010 [[1,3,5],[2,7],[4],[6]] => 101010 [[1,2,5],[3,7],[4],[6]] => 011010 [[1,3,4],[2,7],[5],[6]] => 100110 [[1,2,4],[3,7],[5],[6]] => 010110 [[1,2,3],[4,7],[5],[6]] => 001110 [[1,4,6],[2,5],[3],[7]] => 110101 [[1,3,6],[2,5],[4],[7]] => 101001 [[1,2,6],[3,5],[4],[7]] => 011001 [[1,3,6],[2,4],[5],[7]] => 101101 [[1,2,6],[3,4],[5],[7]] => 010101 [[1,4,5],[2,6],[3],[7]] => 110011 [[1,3,5],[2,6],[4],[7]] => 101011 [[1,2,5],[3,6],[4],[7]] => 011011 [[1,3,4],[2,6],[5],[7]] => 100101 [[1,2,4],[3,6],[5],[7]] => 010101 [[1,2,3],[4,6],[5],[7]] => 001101 [[1,3,5],[2,4],[6],[7]] => 101011 [[1,2,5],[3,4],[6],[7]] => 010011 [[1,3,4],[2,5],[6],[7]] => 100111 [[1,2,4],[3,5],[6],[7]] => 010111 [[1,2,3],[4,5],[6],[7]] => 001011 [[1,6,7],[2],[3],[4],[5]] => 111100 [[1,5,7],[2],[3],[4],[6]] => 111010 [[1,4,7],[2],[3],[5],[6]] => 110110 [[1,3,7],[2],[4],[5],[6]] => 101110 [[1,2,7],[3],[4],[5],[6]] => 011110 [[1,5,6],[2],[3],[4],[7]] => 111001 [[1,4,6],[2],[3],[5],[7]] => 110101 [[1,3,6],[2],[4],[5],[7]] => 101101 [[1,2,6],[3],[4],[5],[7]] => 011101 [[1,4,5],[2],[3],[6],[7]] => 110011 [[1,3,5],[2],[4],[6],[7]] => 101011 [[1,2,5],[3],[4],[6],[7]] => 011011 [[1,3,4],[2],[5],[6],[7]] => 100111 [[1,2,4],[3],[5],[6],[7]] => 010111 [[1,2,3],[4],[5],[6],[7]] => 001111 [[1,5],[2,6],[3,7],[4]] => 111011 [[1,4],[2,6],[3,7],[5]] => 110101 [[1,3],[2,6],[4,7],[5]] => 101101 [[1,2],[3,6],[4,7],[5]] => 011101 [[1,4],[2,5],[3,7],[6]] => 110110 [[1,3],[2,5],[4,7],[6]] => 101010 [[1,2],[3,5],[4,7],[6]] => 011010 [[1,3],[2,4],[5,7],[6]] => 101110 [[1,2],[3,4],[5,7],[6]] => 010110 [[1,4],[2,5],[3,6],[7]] => 110111 [[1,3],[2,5],[4,6],[7]] => 101011 [[1,2],[3,5],[4,6],[7]] => 011011 [[1,3],[2,4],[5,6],[7]] => 101101 [[1,2],[3,4],[5,6],[7]] => 010101 [[1,6],[2,7],[3],[4],[5]] => 111101 [[1,5],[2,7],[3],[4],[6]] => 111010 [[1,4],[2,7],[3],[5],[6]] => 110110 [[1,3],[2,7],[4],[5],[6]] => 101110 [[1,2],[3,7],[4],[5],[6]] => 011110 [[1,5],[2,6],[3],[4],[7]] => 111011 [[1,4],[2,6],[3],[5],[7]] => 110101 [[1,3],[2,6],[4],[5],[7]] => 101101 [[1,2],[3,6],[4],[5],[7]] => 011101 [[1,4],[2,5],[3],[6],[7]] => 110111 [[1,3],[2,5],[4],[6],[7]] => 101011 [[1,2],[3,5],[4],[6],[7]] => 011011 [[1,3],[2,4],[5],[6],[7]] => 101111 [[1,2],[3,4],[5],[6],[7]] => 010111 [[1,7],[2],[3],[4],[5],[6]] => 111110 [[1,6],[2],[3],[4],[5],[7]] => 111101 [[1,5],[2],[3],[4],[6],[7]] => 111011 [[1,4],[2],[3],[5],[6],[7]] => 110111 [[1,3],[2],[4],[5],[6],[7]] => 101111 [[1,2],[3],[4],[5],[6],[7]] => 011111 [[1],[2],[3],[4],[5],[6],[7]] => 111111 [[1,2,3,4,5,6,7,8]] => 0000000 [[1,3,4,5,6,7,8],[2]] => 1000000 [[1,2,4,5,6,7,8],[3]] => 0100000 [[1,2,3,5,6,7,8],[4]] => 0010000 [[1,2,3,4,6,7,8],[5]] => 0001000 [[1,2,3,4,5,7,8],[6]] => 0000100 [[1,2,3,4,5,6,8],[7]] => 0000010 [[1,2,3,4,5,6,7],[8]] => 0000001 [[1,3,5,6,7,8],[2,4]] => 1010000 [[1,2,5,6,7,8],[3,4]] => 0100000 [[1,3,4,6,7,8],[2,5]] => 1001000 [[1,2,4,6,7,8],[3,5]] => 0101000 [[1,2,3,6,7,8],[4,5]] => 0010000 [[1,3,4,5,7,8],[2,6]] => 1000100 [[1,2,4,5,7,8],[3,6]] => 0100100 [[1,2,3,5,7,8],[4,6]] => 0010100 [[1,2,3,4,7,8],[5,6]] => 0001000 [[1,3,4,5,6,8],[2,7]] => 1000010 [[1,2,4,5,6,8],[3,7]] => 0100010 [[1,2,3,5,6,8],[4,7]] => 0010010 [[1,2,3,4,6,8],[5,7]] => 0001010 [[1,2,3,4,5,8],[6,7]] => 0000100 [[1,3,4,5,6,7],[2,8]] => 1000001 [[1,2,4,5,6,7],[3,8]] => 0100001 [[1,2,3,5,6,7],[4,8]] => 0010001 [[1,2,3,4,6,7],[5,8]] => 0001001 [[1,2,3,4,5,7],[6,8]] => 0000101 [[1,2,3,4,5,6],[7,8]] => 0000010 [[1,4,5,6,7,8],[2],[3]] => 1100000 [[1,3,5,6,7,8],[2],[4]] => 1010000 [[1,2,5,6,7,8],[3],[4]] => 0110000 [[1,3,4,6,7,8],[2],[5]] => 1001000 [[1,2,4,6,7,8],[3],[5]] => 0101000 [[1,2,3,6,7,8],[4],[5]] => 0011000 [[1,3,4,5,7,8],[2],[6]] => 1000100 [[1,2,4,5,7,8],[3],[6]] => 0100100 [[1,2,3,5,7,8],[4],[6]] => 0010100 [[1,2,3,4,7,8],[5],[6]] => 0001100 [[1,3,4,5,6,8],[2],[7]] => 1000010 [[1,2,4,5,6,8],[3],[7]] => 0100010 [[1,2,3,5,6,8],[4],[7]] => 0010010 [[1,2,3,4,6,8],[5],[7]] => 0001010 [[1,2,3,4,5,8],[6],[7]] => 0000110 [[1,3,4,5,6,7],[2],[8]] => 1000001 [[1,2,4,5,6,7],[3],[8]] => 0100001 [[1,2,3,5,6,7],[4],[8]] => 0010001 [[1,2,3,4,6,7],[5],[8]] => 0001001 [[1,2,3,4,5,7],[6],[8]] => 0000101 [[1,2,3,4,5,6],[7],[8]] => 0000011 [[1,3,5,7,8],[2,4,6]] => 1010100 [[1,2,5,7,8],[3,4,6]] => 0100100 [[1,3,4,7,8],[2,5,6]] => 1001000 [[1,2,4,7,8],[3,5,6]] => 0101000 [[1,2,3,7,8],[4,5,6]] => 0010000 [[1,3,5,6,8],[2,4,7]] => 1010010 [[1,2,5,6,8],[3,4,7]] => 0100010 [[1,3,4,6,8],[2,5,7]] => 1001010 [[1,2,4,6,8],[3,5,7]] => 0101010 [[1,2,3,6,8],[4,5,7]] => 0010010 [[1,3,4,5,8],[2,6,7]] => 1000100 [[1,2,4,5,8],[3,6,7]] => 0100100 [[1,2,3,5,8],[4,6,7]] => 0010100 [[1,2,3,4,8],[5,6,7]] => 0001000 [[1,3,5,6,7],[2,4,8]] => 1010001 [[1,2,5,6,7],[3,4,8]] => 0100001 [[1,3,4,6,7],[2,5,8]] => 1001001 [[1,2,4,6,7],[3,5,8]] => 0101001 [[1,2,3,6,7],[4,5,8]] => 0010001 [[1,3,4,5,7],[2,6,8]] => 1000101 [[1,2,4,5,7],[3,6,8]] => 0100101 [[1,2,3,5,7],[4,6,8]] => 0010101 [[1,2,3,4,7],[5,6,8]] => 0001001 [[1,3,4,5,6],[2,7,8]] => 1000010 [[1,2,4,5,6],[3,7,8]] => 0100010 [[1,2,3,5,6],[4,7,8]] => 0010010 [[1,2,3,4,6],[5,7,8]] => 0001010 [[1,2,3,4,5],[6,7,8]] => 0000100 [[1,4,6,7,8],[2,5],[3]] => 1101000 [[1,3,6,7,8],[2,5],[4]] => 1010000 [[1,2,6,7,8],[3,5],[4]] => 0110000 [[1,3,6,7,8],[2,4],[5]] => 1011000 [[1,2,6,7,8],[3,4],[5]] => 0101000 [[1,4,5,7,8],[2,6],[3]] => 1100100 [[1,3,5,7,8],[2,6],[4]] => 1010100 [[1,2,5,7,8],[3,6],[4]] => 0110100 [[1,3,4,7,8],[2,6],[5]] => 1001000 [[1,2,4,7,8],[3,6],[5]] => 0101000 [[1,2,3,7,8],[4,6],[5]] => 0011000 [[1,3,5,7,8],[2,4],[6]] => 1010100 [[1,2,5,7,8],[3,4],[6]] => 0100100 [[1,3,4,7,8],[2,5],[6]] => 1001100 [[1,2,4,7,8],[3,5],[6]] => 0101100 [[1,2,3,7,8],[4,5],[6]] => 0010100 [[1,4,5,6,8],[2,7],[3]] => 1100010 [[1,3,5,6,8],[2,7],[4]] => 1010010 [[1,2,5,6,8],[3,7],[4]] => 0110010 [[1,3,4,6,8],[2,7],[5]] => 1001010 [[1,2,4,6,8],[3,7],[5]] => 0101010 [[1,2,3,6,8],[4,7],[5]] => 0011010 [[1,3,4,5,8],[2,7],[6]] => 1000100 [[1,2,4,5,8],[3,7],[6]] => 0100100 [[1,2,3,5,8],[4,7],[6]] => 0010100 [[1,2,3,4,8],[5,7],[6]] => 0001100 [[1,3,5,6,8],[2,4],[7]] => 1010010 [[1,2,5,6,8],[3,4],[7]] => 0100010 [[1,3,4,6,8],[2,5],[7]] => 1001010 [[1,2,4,6,8],[3,5],[7]] => 0101010 [[1,2,3,6,8],[4,5],[7]] => 0010010 [[1,3,4,5,8],[2,6],[7]] => 1000110 [[1,2,4,5,8],[3,6],[7]] => 0100110 [[1,2,3,5,8],[4,6],[7]] => 0010110 [[1,2,3,4,8],[5,6],[7]] => 0001010 [[1,4,5,6,7],[2,8],[3]] => 1100001 [[1,3,5,6,7],[2,8],[4]] => 1010001 [[1,2,5,6,7],[3,8],[4]] => 0110001 [[1,3,4,6,7],[2,8],[5]] => 1001001 [[1,2,4,6,7],[3,8],[5]] => 0101001 [[1,2,3,6,7],[4,8],[5]] => 0011001 [[1,3,4,5,7],[2,8],[6]] => 1000101 [[1,2,4,5,7],[3,8],[6]] => 0100101 [[1,2,3,5,7],[4,8],[6]] => 0010101 [[1,2,3,4,7],[5,8],[6]] => 0001101 [[1,3,4,5,6],[2,8],[7]] => 1000010 [[1,2,4,5,6],[3,8],[7]] => 0100010 [[1,2,3,5,6],[4,8],[7]] => 0010010 [[1,2,3,4,6],[5,8],[7]] => 0001010 [[1,2,3,4,5],[6,8],[7]] => 0000110 [[1,3,5,6,7],[2,4],[8]] => 1010001 [[1,2,5,6,7],[3,4],[8]] => 0100001 [[1,3,4,6,7],[2,5],[8]] => 1001001 [[1,2,4,6,7],[3,5],[8]] => 0101001 [[1,2,3,6,7],[4,5],[8]] => 0010001 [[1,3,4,5,7],[2,6],[8]] => 1000101 [[1,2,4,5,7],[3,6],[8]] => 0100101 [[1,2,3,5,7],[4,6],[8]] => 0010101 [[1,2,3,4,7],[5,6],[8]] => 0001001 [[1,3,4,5,6],[2,7],[8]] => 1000011 [[1,2,4,5,6],[3,7],[8]] => 0100011 [[1,2,3,5,6],[4,7],[8]] => 0010011 [[1,2,3,4,6],[5,7],[8]] => 0001011 [[1,2,3,4,5],[6,7],[8]] => 0000101 [[1,5,6,7,8],[2],[3],[4]] => 1110000 [[1,4,6,7,8],[2],[3],[5]] => 1101000 [[1,3,6,7,8],[2],[4],[5]] => 1011000 [[1,2,6,7,8],[3],[4],[5]] => 0111000 [[1,4,5,7,8],[2],[3],[6]] => 1100100 [[1,3,5,7,8],[2],[4],[6]] => 1010100 [[1,2,5,7,8],[3],[4],[6]] => 0110100 [[1,3,4,7,8],[2],[5],[6]] => 1001100 [[1,2,4,7,8],[3],[5],[6]] => 0101100 [[1,2,3,7,8],[4],[5],[6]] => 0011100 [[1,4,5,6,8],[2],[3],[7]] => 1100010 [[1,3,5,6,8],[2],[4],[7]] => 1010010 [[1,2,5,6,8],[3],[4],[7]] => 0110010 [[1,3,4,6,8],[2],[5],[7]] => 1001010 [[1,2,4,6,8],[3],[5],[7]] => 0101010 [[1,2,3,6,8],[4],[5],[7]] => 0011010 [[1,3,4,5,8],[2],[6],[7]] => 1000110 [[1,2,4,5,8],[3],[6],[7]] => 0100110 [[1,2,3,5,8],[4],[6],[7]] => 0010110 [[1,2,3,4,8],[5],[6],[7]] => 0001110 [[1,4,5,6,7],[2],[3],[8]] => 1100001 [[1,3,5,6,7],[2],[4],[8]] => 1010001 [[1,2,5,6,7],[3],[4],[8]] => 0110001 [[1,3,4,6,7],[2],[5],[8]] => 1001001 [[1,2,4,6,7],[3],[5],[8]] => 0101001 [[1,2,3,6,7],[4],[5],[8]] => 0011001 [[1,3,4,5,7],[2],[6],[8]] => 1000101 [[1,2,4,5,7],[3],[6],[8]] => 0100101 [[1,2,3,5,7],[4],[6],[8]] => 0010101 [[1,2,3,4,7],[5],[6],[8]] => 0001101 [[1,3,4,5,6],[2],[7],[8]] => 1000011 [[1,2,4,5,6],[3],[7],[8]] => 0100011 [[1,2,3,5,6],[4],[7],[8]] => 0010011 [[1,2,3,4,6],[5],[7],[8]] => 0001011 [[1,2,3,4,5],[6],[7],[8]] => 0000111 [[1,3,5,7],[2,4,6,8]] => 1010101 [[1,2,5,7],[3,4,6,8]] => 0100101 [[1,3,4,7],[2,5,6,8]] => 1001001 [[1,2,4,7],[3,5,6,8]] => 0101001 [[1,2,3,7],[4,5,6,8]] => 0010001 [[1,3,5,6],[2,4,7,8]] => 1010010 [[1,2,5,6],[3,4,7,8]] => 0100010 [[1,3,4,6],[2,5,7,8]] => 1001010 [[1,2,4,6],[3,5,7,8]] => 0101010 [[1,2,3,6],[4,5,7,8]] => 0010010 [[1,3,4,5],[2,6,7,8]] => 1000100 [[1,2,4,5],[3,6,7,8]] => 0100100 [[1,2,3,5],[4,6,7,8]] => 0010100 [[1,2,3,4],[5,6,7,8]] => 0001000 [[1,4,6,8],[2,5,7],[3]] => 1101010 [[1,3,6,8],[2,5,7],[4]] => 1010010 [[1,2,6,8],[3,5,7],[4]] => 0110010 [[1,3,6,8],[2,4,7],[5]] => 1011010 [[1,2,6,8],[3,4,7],[5]] => 0101010 [[1,4,5,8],[2,6,7],[3]] => 1100100 [[1,3,5,8],[2,6,7],[4]] => 1010100 [[1,2,5,8],[3,6,7],[4]] => 0110100 [[1,3,4,8],[2,6,7],[5]] => 1001000 [[1,2,4,8],[3,6,7],[5]] => 0101000 [[1,2,3,8],[4,6,7],[5]] => 0011000 [[1,3,5,8],[2,4,7],[6]] => 1010100 [[1,2,5,8],[3,4,7],[6]] => 0100100 [[1,3,4,8],[2,5,7],[6]] => 1001100 [[1,2,4,8],[3,5,7],[6]] => 0101100 [[1,2,3,8],[4,5,7],[6]] => 0010100 [[1,3,5,8],[2,4,6],[7]] => 1010110 [[1,2,5,8],[3,4,6],[7]] => 0100110 [[1,3,4,8],[2,5,6],[7]] => 1001010 [[1,2,4,8],[3,5,6],[7]] => 0101010 [[1,2,3,8],[4,5,6],[7]] => 0010010 [[1,4,6,7],[2,5,8],[3]] => 1101001 [[1,3,6,7],[2,5,8],[4]] => 1010001 [[1,2,6,7],[3,5,8],[4]] => 0110001 [[1,3,6,7],[2,4,8],[5]] => 1011001 [[1,2,6,7],[3,4,8],[5]] => 0101001 [[1,4,5,7],[2,6,8],[3]] => 1100101 [[1,3,5,7],[2,6,8],[4]] => 1010101 [[1,2,5,7],[3,6,8],[4]] => 0110101 [[1,3,4,7],[2,6,8],[5]] => 1001001 [[1,2,4,7],[3,6,8],[5]] => 0101001 [[1,2,3,7],[4,6,8],[5]] => 0011001 [[1,3,5,7],[2,4,8],[6]] => 1010101 [[1,2,5,7],[3,4,8],[6]] => 0100101 [[1,3,4,7],[2,5,8],[6]] => 1001101 [[1,2,4,7],[3,5,8],[6]] => 0101101 [[1,2,3,7],[4,5,8],[6]] => 0010101 [[1,4,5,6],[2,7,8],[3]] => 1100010 [[1,3,5,6],[2,7,8],[4]] => 1010010 [[1,2,5,6],[3,7,8],[4]] => 0110010 [[1,3,4,6],[2,7,8],[5]] => 1001010 [[1,2,4,6],[3,7,8],[5]] => 0101010 [[1,2,3,6],[4,7,8],[5]] => 0011010 [[1,3,4,5],[2,7,8],[6]] => 1000100 [[1,2,4,5],[3,7,8],[6]] => 0100100 [[1,2,3,5],[4,7,8],[6]] => 0010100 [[1,2,3,4],[5,7,8],[6]] => 0001100 [[1,3,5,6],[2,4,8],[7]] => 1010010 [[1,2,5,6],[3,4,8],[7]] => 0100010 [[1,3,4,6],[2,5,8],[7]] => 1001010 [[1,2,4,6],[3,5,8],[7]] => 0101010 [[1,2,3,6],[4,5,8],[7]] => 0010010 [[1,3,4,5],[2,6,8],[7]] => 1000110 [[1,2,4,5],[3,6,8],[7]] => 0100110 [[1,2,3,5],[4,6,8],[7]] => 0010110 [[1,2,3,4],[5,6,8],[7]] => 0001010 [[1,3,5,7],[2,4,6],[8]] => 1010101 [[1,2,5,7],[3,4,6],[8]] => 0100101 [[1,3,4,7],[2,5,6],[8]] => 1001001 [[1,2,4,7],[3,5,6],[8]] => 0101001 [[1,2,3,7],[4,5,6],[8]] => 0010001 [[1,3,5,6],[2,4,7],[8]] => 1010011 [[1,2,5,6],[3,4,7],[8]] => 0100011 [[1,3,4,6],[2,5,7],[8]] => 1001011 [[1,2,4,6],[3,5,7],[8]] => 0101011 [[1,2,3,6],[4,5,7],[8]] => 0010011 [[1,3,4,5],[2,6,7],[8]] => 1000101 [[1,2,4,5],[3,6,7],[8]] => 0100101 [[1,2,3,5],[4,6,7],[8]] => 0010101 [[1,2,3,4],[5,6,7],[8]] => 0001001 [[1,4,7,8],[2,5],[3,6]] => 1101100 [[1,3,7,8],[2,5],[4,6]] => 1010100 [[1,2,7,8],[3,5],[4,6]] => 0110100 [[1,3,7,8],[2,4],[5,6]] => 1011000 [[1,2,7,8],[3,4],[5,6]] => 0101000 [[1,4,6,8],[2,5],[3,7]] => 1101010 [[1,3,6,8],[2,5],[4,7]] => 1010010 [[1,2,6,8],[3,5],[4,7]] => 0110010 [[1,3,6,8],[2,4],[5,7]] => 1011010 [[1,2,6,8],[3,4],[5,7]] => 0101010 [[1,4,5,8],[2,6],[3,7]] => 1100110 [[1,3,5,8],[2,6],[4,7]] => 1010110 [[1,2,5,8],[3,6],[4,7]] => 0110110 [[1,3,4,8],[2,6],[5,7]] => 1001010 [[1,2,4,8],[3,6],[5,7]] => 0101010 [[1,2,3,8],[4,6],[5,7]] => 0011010 [[1,3,5,8],[2,4],[6,7]] => 1010100 [[1,2,5,8],[3,4],[6,7]] => 0100100 [[1,3,4,8],[2,5],[6,7]] => 1001100 [[1,2,4,8],[3,5],[6,7]] => 0101100 [[1,2,3,8],[4,5],[6,7]] => 0010100 [[1,4,6,7],[2,5],[3,8]] => 1101001 [[1,3,6,7],[2,5],[4,8]] => 1010001 [[1,2,6,7],[3,5],[4,8]] => 0110001 [[1,3,6,7],[2,4],[5,8]] => 1011001 [[1,2,6,7],[3,4],[5,8]] => 0101001 [[1,4,5,7],[2,6],[3,8]] => 1100101 [[1,3,5,7],[2,6],[4,8]] => 1010101 [[1,2,5,7],[3,6],[4,8]] => 0110101 [[1,3,4,7],[2,6],[5,8]] => 1001001 [[1,2,4,7],[3,6],[5,8]] => 0101001 [[1,2,3,7],[4,6],[5,8]] => 0011001 [[1,3,5,7],[2,4],[6,8]] => 1010101 [[1,2,5,7],[3,4],[6,8]] => 0100101 [[1,3,4,7],[2,5],[6,8]] => 1001101 [[1,2,4,7],[3,5],[6,8]] => 0101101 [[1,2,3,7],[4,5],[6,8]] => 0010101 [[1,4,5,6],[2,7],[3,8]] => 1100011 [[1,3,5,6],[2,7],[4,8]] => 1010011 [[1,2,5,6],[3,7],[4,8]] => 0110011 [[1,3,4,6],[2,7],[5,8]] => 1001011 [[1,2,4,6],[3,7],[5,8]] => 0101011 [[1,2,3,6],[4,7],[5,8]] => 0011011 [[1,3,4,5],[2,7],[6,8]] => 1000101 [[1,2,4,5],[3,7],[6,8]] => 0100101 [[1,2,3,5],[4,7],[6,8]] => 0010101 [[1,2,3,4],[5,7],[6,8]] => 0001101 [[1,3,5,6],[2,4],[7,8]] => 1010010 [[1,2,5,6],[3,4],[7,8]] => 0100010 [[1,3,4,6],[2,5],[7,8]] => 1001010 [[1,2,4,6],[3,5],[7,8]] => 0101010 [[1,2,3,6],[4,5],[7,8]] => 0010010 [[1,3,4,5],[2,6],[7,8]] => 1000110 [[1,2,4,5],[3,6],[7,8]] => 0100110 [[1,2,3,5],[4,6],[7,8]] => 0010110 [[1,2,3,4],[5,6],[7,8]] => 0001010 [[1,5,7,8],[2,6],[3],[4]] => 1110100 [[1,4,7,8],[2,6],[3],[5]] => 1101000 [[1,3,7,8],[2,6],[4],[5]] => 1011000 [[1,2,7,8],[3,6],[4],[5]] => 0111000 [[1,4,7,8],[2,5],[3],[6]] => 1101100 [[1,3,7,8],[2,5],[4],[6]] => 1010100 [[1,2,7,8],[3,5],[4],[6]] => 0110100 [[1,3,7,8],[2,4],[5],[6]] => 1011100 [[1,2,7,8],[3,4],[5],[6]] => 0101100 [[1,5,6,8],[2,7],[3],[4]] => 1110010 [[1,4,6,8],[2,7],[3],[5]] => 1101010 [[1,3,6,8],[2,7],[4],[5]] => 1011010 [[1,2,6,8],[3,7],[4],[5]] => 0111010 [[1,4,5,8],[2,7],[3],[6]] => 1100100 [[1,3,5,8],[2,7],[4],[6]] => 1010100 [[1,2,5,8],[3,7],[4],[6]] => 0110100 [[1,3,4,8],[2,7],[5],[6]] => 1001100 [[1,2,4,8],[3,7],[5],[6]] => 0101100 [[1,2,3,8],[4,7],[5],[6]] => 0011100 [[1,4,6,8],[2,5],[3],[7]] => 1101010 [[1,3,6,8],[2,5],[4],[7]] => 1010010 [[1,2,6,8],[3,5],[4],[7]] => 0110010 [[1,3,6,8],[2,4],[5],[7]] => 1011010 [[1,2,6,8],[3,4],[5],[7]] => 0101010 [[1,4,5,8],[2,6],[3],[7]] => 1100110 [[1,3,5,8],[2,6],[4],[7]] => 1010110 [[1,2,5,8],[3,6],[4],[7]] => 0110110 [[1,3,4,8],[2,6],[5],[7]] => 1001010 [[1,2,4,8],[3,6],[5],[7]] => 0101010 [[1,2,3,8],[4,6],[5],[7]] => 0011010 [[1,3,5,8],[2,4],[6],[7]] => 1010110 [[1,2,5,8],[3,4],[6],[7]] => 0100110 [[1,3,4,8],[2,5],[6],[7]] => 1001110 [[1,2,4,8],[3,5],[6],[7]] => 0101110 [[1,2,3,8],[4,5],[6],[7]] => 0010110 [[1,5,6,7],[2,8],[3],[4]] => 1110001 [[1,4,6,7],[2,8],[3],[5]] => 1101001 [[1,3,6,7],[2,8],[4],[5]] => 1011001 [[1,2,6,7],[3,8],[4],[5]] => 0111001 [[1,4,5,7],[2,8],[3],[6]] => 1100101 [[1,3,5,7],[2,8],[4],[6]] => 1010101 [[1,2,5,7],[3,8],[4],[6]] => 0110101 [[1,3,4,7],[2,8],[5],[6]] => 1001101 [[1,2,4,7],[3,8],[5],[6]] => 0101101 [[1,2,3,7],[4,8],[5],[6]] => 0011101 [[1,4,5,6],[2,8],[3],[7]] => 1100010 [[1,3,5,6],[2,8],[4],[7]] => 1010010 [[1,2,5,6],[3,8],[4],[7]] => 0110010 [[1,3,4,6],[2,8],[5],[7]] => 1001010 [[1,2,4,6],[3,8],[5],[7]] => 0101010 [[1,2,3,6],[4,8],[5],[7]] => 0011010 [[1,3,4,5],[2,8],[6],[7]] => 1000110 [[1,2,4,5],[3,8],[6],[7]] => 0100110 [[1,2,3,5],[4,8],[6],[7]] => 0010110 [[1,2,3,4],[5,8],[6],[7]] => 0001110 [[1,4,6,7],[2,5],[3],[8]] => 1101001 [[1,3,6,7],[2,5],[4],[8]] => 1010001 [[1,2,6,7],[3,5],[4],[8]] => 0110001 [[1,3,6,7],[2,4],[5],[8]] => 1011001 [[1,2,6,7],[3,4],[5],[8]] => 0101001 [[1,4,5,7],[2,6],[3],[8]] => 1100101 [[1,3,5,7],[2,6],[4],[8]] => 1010101 [[1,2,5,7],[3,6],[4],[8]] => 0110101 [[1,3,4,7],[2,6],[5],[8]] => 1001001 [[1,2,4,7],[3,6],[5],[8]] => 0101001 [[1,2,3,7],[4,6],[5],[8]] => 0011001 [[1,3,5,7],[2,4],[6],[8]] => 1010101 [[1,2,5,7],[3,4],[6],[8]] => 0100101 [[1,3,4,7],[2,5],[6],[8]] => 1001101 [[1,2,4,7],[3,5],[6],[8]] => 0101101 [[1,2,3,7],[4,5],[6],[8]] => 0010101 [[1,4,5,6],[2,7],[3],[8]] => 1100011 [[1,3,5,6],[2,7],[4],[8]] => 1010011 [[1,2,5,6],[3,7],[4],[8]] => 0110011 [[1,3,4,6],[2,7],[5],[8]] => 1001011 [[1,2,4,6],[3,7],[5],[8]] => 0101011 [[1,2,3,6],[4,7],[5],[8]] => 0011011 [[1,3,4,5],[2,7],[6],[8]] => 1000101 [[1,2,4,5],[3,7],[6],[8]] => 0100101 [[1,2,3,5],[4,7],[6],[8]] => 0010101 [[1,2,3,4],[5,7],[6],[8]] => 0001101 [[1,3,5,6],[2,4],[7],[8]] => 1010011 [[1,2,5,6],[3,4],[7],[8]] => 0100011 [[1,3,4,6],[2,5],[7],[8]] => 1001011 [[1,2,4,6],[3,5],[7],[8]] => 0101011 [[1,2,3,6],[4,5],[7],[8]] => 0010011 [[1,3,4,5],[2,6],[7],[8]] => 1000111 [[1,2,4,5],[3,6],[7],[8]] => 0100111 [[1,2,3,5],[4,6],[7],[8]] => 0010111 [[1,2,3,4],[5,6],[7],[8]] => 0001011 [[1,6,7,8],[2],[3],[4],[5]] => 1111000 [[1,5,7,8],[2],[3],[4],[6]] => 1110100 [[1,4,7,8],[2],[3],[5],[6]] => 1101100 [[1,3,7,8],[2],[4],[5],[6]] => 1011100 [[1,2,7,8],[3],[4],[5],[6]] => 0111100 [[1,5,6,8],[2],[3],[4],[7]] => 1110010 [[1,4,6,8],[2],[3],[5],[7]] => 1101010 [[1,3,6,8],[2],[4],[5],[7]] => 1011010 [[1,2,6,8],[3],[4],[5],[7]] => 0111010 [[1,4,5,8],[2],[3],[6],[7]] => 1100110 [[1,3,5,8],[2],[4],[6],[7]] => 1010110 [[1,2,5,8],[3],[4],[6],[7]] => 0110110 [[1,3,4,8],[2],[5],[6],[7]] => 1001110 [[1,2,4,8],[3],[5],[6],[7]] => 0101110 [[1,2,3,8],[4],[5],[6],[7]] => 0011110 [[1,5,6,7],[2],[3],[4],[8]] => 1110001 [[1,4,6,7],[2],[3],[5],[8]] => 1101001 [[1,3,6,7],[2],[4],[5],[8]] => 1011001 [[1,2,6,7],[3],[4],[5],[8]] => 0111001 [[1,4,5,7],[2],[3],[6],[8]] => 1100101 [[1,3,5,7],[2],[4],[6],[8]] => 1010101 [[1,2,5,7],[3],[4],[6],[8]] => 0110101 [[1,3,4,7],[2],[5],[6],[8]] => 1001101 [[1,2,4,7],[3],[5],[6],[8]] => 0101101 [[1,2,3,7],[4],[5],[6],[8]] => 0011101 [[1,4,5,6],[2],[3],[7],[8]] => 1100011 [[1,3,5,6],[2],[4],[7],[8]] => 1010011 [[1,2,5,6],[3],[4],[7],[8]] => 0110011 [[1,3,4,6],[2],[5],[7],[8]] => 1001011 [[1,2,4,6],[3],[5],[7],[8]] => 0101011 [[1,2,3,6],[4],[5],[7],[8]] => 0011011 [[1,3,4,5],[2],[6],[7],[8]] => 1000111 [[1,2,4,5],[3],[6],[7],[8]] => 0100111 [[1,2,3,5],[4],[6],[7],[8]] => 0010111 [[1,2,3,4],[5],[6],[7],[8]] => 0001111 [[1,4,7],[2,5,8],[3,6]] => 1101101 [[1,3,7],[2,5,8],[4,6]] => 1010101 [[1,2,7],[3,5,8],[4,6]] => 0110101 [[1,3,7],[2,4,8],[5,6]] => 1011001 [[1,2,7],[3,4,8],[5,6]] => 0101001 [[1,4,6],[2,5,8],[3,7]] => 1101010 [[1,3,6],[2,5,8],[4,7]] => 1010010 [[1,2,6],[3,5,8],[4,7]] => 0110010 [[1,3,6],[2,4,8],[5,7]] => 1011010 [[1,2,6],[3,4,8],[5,7]] => 0101010 [[1,4,5],[2,6,8],[3,7]] => 1100110 [[1,3,5],[2,6,8],[4,7]] => 1010110 [[1,2,5],[3,6,8],[4,7]] => 0110110 [[1,3,4],[2,6,8],[5,7]] => 1001010 [[1,2,4],[3,6,8],[5,7]] => 0101010 [[1,2,3],[4,6,8],[5,7]] => 0011010 [[1,3,5],[2,4,8],[6,7]] => 1010100 [[1,2,5],[3,4,8],[6,7]] => 0100100 [[1,3,4],[2,5,8],[6,7]] => 1001100 [[1,2,4],[3,5,8],[6,7]] => 0101100 [[1,2,3],[4,5,8],[6,7]] => 0010100 [[1,4,6],[2,5,7],[3,8]] => 1101011 [[1,3,6],[2,5,7],[4,8]] => 1010011 [[1,2,6],[3,5,7],[4,8]] => 0110011 [[1,3,6],[2,4,7],[5,8]] => 1011011 [[1,2,6],[3,4,7],[5,8]] => 0101011 [[1,4,5],[2,6,7],[3,8]] => 1100101 [[1,3,5],[2,6,7],[4,8]] => 1010101 [[1,2,5],[3,6,7],[4,8]] => 0110101 [[1,3,4],[2,6,7],[5,8]] => 1001001 [[1,2,4],[3,6,7],[5,8]] => 0101001 [[1,2,3],[4,6,7],[5,8]] => 0011001 [[1,3,5],[2,4,7],[6,8]] => 1010101 [[1,2,5],[3,4,7],[6,8]] => 0100101 [[1,3,4],[2,5,7],[6,8]] => 1001101 [[1,2,4],[3,5,7],[6,8]] => 0101101 [[1,2,3],[4,5,7],[6,8]] => 0010101 [[1,3,5],[2,4,6],[7,8]] => 1010110 [[1,2,5],[3,4,6],[7,8]] => 0100110 [[1,3,4],[2,5,6],[7,8]] => 1001010 [[1,2,4],[3,5,6],[7,8]] => 0101010 [[1,2,3],[4,5,6],[7,8]] => 0010010 [[1,5,7],[2,6,8],[3],[4]] => 1110101 [[1,4,7],[2,6,8],[3],[5]] => 1101001 [[1,3,7],[2,6,8],[4],[5]] => 1011001 [[1,2,7],[3,6,8],[4],[5]] => 0111001 [[1,4,7],[2,5,8],[3],[6]] => 1101101 [[1,3,7],[2,5,8],[4],[6]] => 1010101 [[1,2,7],[3,5,8],[4],[6]] => 0110101 [[1,3,7],[2,4,8],[5],[6]] => 1011101 [[1,2,7],[3,4,8],[5],[6]] => 0101101 [[1,5,6],[2,7,8],[3],[4]] => 1110010 [[1,4,6],[2,7,8],[3],[5]] => 1101010 [[1,3,6],[2,7,8],[4],[5]] => 1011010 [[1,2,6],[3,7,8],[4],[5]] => 0111010 [[1,4,5],[2,7,8],[3],[6]] => 1100100 [[1,3,5],[2,7,8],[4],[6]] => 1010100 [[1,2,5],[3,7,8],[4],[6]] => 0110100 [[1,3,4],[2,7,8],[5],[6]] => 1001100 [[1,2,4],[3,7,8],[5],[6]] => 0101100 [[1,2,3],[4,7,8],[5],[6]] => 0011100 [[1,4,6],[2,5,8],[3],[7]] => 1101010 [[1,3,6],[2,5,8],[4],[7]] => 1010010 [[1,2,6],[3,5,8],[4],[7]] => 0110010 [[1,3,6],[2,4,8],[5],[7]] => 1011010 [[1,2,6],[3,4,8],[5],[7]] => 0101010 [[1,4,5],[2,6,8],[3],[7]] => 1100110 [[1,3,5],[2,6,8],[4],[7]] => 1010110 [[1,2,5],[3,6,8],[4],[7]] => 0110110 [[1,3,4],[2,6,8],[5],[7]] => 1001010 [[1,2,4],[3,6,8],[5],[7]] => 0101010 [[1,2,3],[4,6,8],[5],[7]] => 0011010 [[1,3,5],[2,4,8],[6],[7]] => 1010110 [[1,2,5],[3,4,8],[6],[7]] => 0100110 [[1,3,4],[2,5,8],[6],[7]] => 1001110 [[1,2,4],[3,5,8],[6],[7]] => 0101110 [[1,2,3],[4,5,8],[6],[7]] => 0010110 [[1,4,6],[2,5,7],[3],[8]] => 1101011 [[1,3,6],[2,5,7],[4],[8]] => 1010011 [[1,2,6],[3,5,7],[4],[8]] => 0110011 [[1,3,6],[2,4,7],[5],[8]] => 1011011 [[1,2,6],[3,4,7],[5],[8]] => 0101011 [[1,4,5],[2,6,7],[3],[8]] => 1100101 [[1,3,5],[2,6,7],[4],[8]] => 1010101 [[1,2,5],[3,6,7],[4],[8]] => 0110101 [[1,3,4],[2,6,7],[5],[8]] => 1001001 [[1,2,4],[3,6,7],[5],[8]] => 0101001 [[1,2,3],[4,6,7],[5],[8]] => 0011001 [[1,3,5],[2,4,7],[6],[8]] => 1010101 [[1,2,5],[3,4,7],[6],[8]] => 0100101 [[1,3,4],[2,5,7],[6],[8]] => 1001101 [[1,2,4],[3,5,7],[6],[8]] => 0101101 [[1,2,3],[4,5,7],[6],[8]] => 0010101 [[1,3,5],[2,4,6],[7],[8]] => 1010111 [[1,2,5],[3,4,6],[7],[8]] => 0100111 [[1,3,4],[2,5,6],[7],[8]] => 1001011 [[1,2,4],[3,5,6],[7],[8]] => 0101011 [[1,2,3],[4,5,6],[7],[8]] => 0010011 [[1,5,8],[2,6],[3,7],[4]] => 1110110 [[1,4,8],[2,6],[3,7],[5]] => 1101010 [[1,3,8],[2,6],[4,7],[5]] => 1011010 [[1,2,8],[3,6],[4,7],[5]] => 0111010 [[1,4,8],[2,5],[3,7],[6]] => 1101100 [[1,3,8],[2,5],[4,7],[6]] => 1010100 [[1,2,8],[3,5],[4,7],[6]] => 0110100 [[1,3,8],[2,4],[5,7],[6]] => 1011100 [[1,2,8],[3,4],[5,7],[6]] => 0101100 [[1,4,8],[2,5],[3,6],[7]] => 1101110 [[1,3,8],[2,5],[4,6],[7]] => 1010110 [[1,2,8],[3,5],[4,6],[7]] => 0110110 [[1,3,8],[2,4],[5,6],[7]] => 1011010 [[1,2,8],[3,4],[5,6],[7]] => 0101010 [[1,5,7],[2,6],[3,8],[4]] => 1110101 [[1,4,7],[2,6],[3,8],[5]] => 1101001 [[1,3,7],[2,6],[4,8],[5]] => 1011001 [[1,2,7],[3,6],[4,8],[5]] => 0111001 [[1,4,7],[2,5],[3,8],[6]] => 1101101 [[1,3,7],[2,5],[4,8],[6]] => 1010101 [[1,2,7],[3,5],[4,8],[6]] => 0110101 [[1,3,7],[2,4],[5,8],[6]] => 1011101 [[1,2,7],[3,4],[5,8],[6]] => 0101101 [[1,5,6],[2,7],[3,8],[4]] => 1110011 [[1,4,6],[2,7],[3,8],[5]] => 1101011 [[1,3,6],[2,7],[4,8],[5]] => 1011011 [[1,2,6],[3,7],[4,8],[5]] => 0111011 [[1,4,5],[2,7],[3,8],[6]] => 1100101 [[1,3,5],[2,7],[4,8],[6]] => 1010101 [[1,2,5],[3,7],[4,8],[6]] => 0110101 [[1,3,4],[2,7],[5,8],[6]] => 1001101 [[1,2,4],[3,7],[5,8],[6]] => 0101101 [[1,2,3],[4,7],[5,8],[6]] => 0011101 [[1,4,6],[2,5],[3,8],[7]] => 1101010 [[1,3,6],[2,5],[4,8],[7]] => 1010010 [[1,2,6],[3,5],[4,8],[7]] => 0110010 [[1,3,6],[2,4],[5,8],[7]] => 1011010 [[1,2,6],[3,4],[5,8],[7]] => 0101010 [[1,4,5],[2,6],[3,8],[7]] => 1100110 [[1,3,5],[2,6],[4,8],[7]] => 1010110 [[1,2,5],[3,6],[4,8],[7]] => 0110110 [[1,3,4],[2,6],[5,8],[7]] => 1001010 [[1,2,4],[3,6],[5,8],[7]] => 0101010 [[1,2,3],[4,6],[5,8],[7]] => 0011010 [[1,3,5],[2,4],[6,8],[7]] => 1010110 [[1,2,5],[3,4],[6,8],[7]] => 0100110 [[1,3,4],[2,5],[6,8],[7]] => 1001110 [[1,2,4],[3,5],[6,8],[7]] => 0101110 [[1,2,3],[4,5],[6,8],[7]] => 0010110 [[1,4,7],[2,5],[3,6],[8]] => 1101101 [[1,3,7],[2,5],[4,6],[8]] => 1010101 [[1,2,7],[3,5],[4,6],[8]] => 0110101 [[1,3,7],[2,4],[5,6],[8]] => 1011001 [[1,2,7],[3,4],[5,6],[8]] => 0101001 [[1,4,6],[2,5],[3,7],[8]] => 1101011 [[1,3,6],[2,5],[4,7],[8]] => 1010011 [[1,2,6],[3,5],[4,7],[8]] => 0110011 [[1,3,6],[2,4],[5,7],[8]] => 1011011 [[1,2,6],[3,4],[5,7],[8]] => 0101011 [[1,4,5],[2,6],[3,7],[8]] => 1100111 [[1,3,5],[2,6],[4,7],[8]] => 1010111 [[1,2,5],[3,6],[4,7],[8]] => 0110111 [[1,3,4],[2,6],[5,7],[8]] => 1001011 [[1,2,4],[3,6],[5,7],[8]] => 0101011 [[1,2,3],[4,6],[5,7],[8]] => 0011011 [[1,3,5],[2,4],[6,7],[8]] => 1010101 [[1,2,5],[3,4],[6,7],[8]] => 0100101 [[1,3,4],[2,5],[6,7],[8]] => 1001101 [[1,2,4],[3,5],[6,7],[8]] => 0101101 [[1,2,3],[4,5],[6,7],[8]] => 0010101 [[1,6,8],[2,7],[3],[4],[5]] => 1111010 [[1,5,8],[2,7],[3],[4],[6]] => 1110100 [[1,4,8],[2,7],[3],[5],[6]] => 1101100 [[1,3,8],[2,7],[4],[5],[6]] => 1011100 [[1,2,8],[3,7],[4],[5],[6]] => 0111100 [[1,5,8],[2,6],[3],[4],[7]] => 1110110 [[1,4,8],[2,6],[3],[5],[7]] => 1101010 [[1,3,8],[2,6],[4],[5],[7]] => 1011010 [[1,2,8],[3,6],[4],[5],[7]] => 0111010 [[1,4,8],[2,5],[3],[6],[7]] => 1101110 [[1,3,8],[2,5],[4],[6],[7]] => 1010110 [[1,2,8],[3,5],[4],[6],[7]] => 0110110 [[1,3,8],[2,4],[5],[6],[7]] => 1011110 [[1,2,8],[3,4],[5],[6],[7]] => 0101110 [[1,6,7],[2,8],[3],[4],[5]] => 1111001 [[1,5,7],[2,8],[3],[4],[6]] => 1110101 [[1,4,7],[2,8],[3],[5],[6]] => 1101101 [[1,3,7],[2,8],[4],[5],[6]] => 1011101 [[1,2,7],[3,8],[4],[5],[6]] => 0111101 [[1,5,6],[2,8],[3],[4],[7]] => 1110010 [[1,4,6],[2,8],[3],[5],[7]] => 1101010 [[1,3,6],[2,8],[4],[5],[7]] => 1011010 [[1,2,6],[3,8],[4],[5],[7]] => 0111010 [[1,4,5],[2,8],[3],[6],[7]] => 1100110 [[1,3,5],[2,8],[4],[6],[7]] => 1010110 [[1,2,5],[3,8],[4],[6],[7]] => 0110110 [[1,3,4],[2,8],[5],[6],[7]] => 1001110 [[1,2,4],[3,8],[5],[6],[7]] => 0101110 [[1,2,3],[4,8],[5],[6],[7]] => 0011110 [[1,5,7],[2,6],[3],[4],[8]] => 1110101 [[1,4,7],[2,6],[3],[5],[8]] => 1101001 [[1,3,7],[2,6],[4],[5],[8]] => 1011001 [[1,2,7],[3,6],[4],[5],[8]] => 0111001 [[1,4,7],[2,5],[3],[6],[8]] => 1101101 [[1,3,7],[2,5],[4],[6],[8]] => 1010101 [[1,2,7],[3,5],[4],[6],[8]] => 0110101 [[1,3,7],[2,4],[5],[6],[8]] => 1011101 [[1,2,7],[3,4],[5],[6],[8]] => 0101101 [[1,5,6],[2,7],[3],[4],[8]] => 1110011 [[1,4,6],[2,7],[3],[5],[8]] => 1101011 [[1,3,6],[2,7],[4],[5],[8]] => 1011011 [[1,2,6],[3,7],[4],[5],[8]] => 0111011 [[1,4,5],[2,7],[3],[6],[8]] => 1100101 [[1,3,5],[2,7],[4],[6],[8]] => 1010101 [[1,2,5],[3,7],[4],[6],[8]] => 0110101 [[1,3,4],[2,7],[5],[6],[8]] => 1001101 [[1,2,4],[3,7],[5],[6],[8]] => 0101101 [[1,2,3],[4,7],[5],[6],[8]] => 0011101 [[1,4,6],[2,5],[3],[7],[8]] => 1101011 [[1,3,6],[2,5],[4],[7],[8]] => 1010011 [[1,2,6],[3,5],[4],[7],[8]] => 0110011 [[1,3,6],[2,4],[5],[7],[8]] => 1011011 [[1,2,6],[3,4],[5],[7],[8]] => 0101011 [[1,4,5],[2,6],[3],[7],[8]] => 1100111 [[1,3,5],[2,6],[4],[7],[8]] => 1010111 [[1,2,5],[3,6],[4],[7],[8]] => 0110111 [[1,3,4],[2,6],[5],[7],[8]] => 1001011 [[1,2,4],[3,6],[5],[7],[8]] => 0101011 [[1,2,3],[4,6],[5],[7],[8]] => 0011011 [[1,3,5],[2,4],[6],[7],[8]] => 1010111 [[1,2,5],[3,4],[6],[7],[8]] => 0100111 [[1,3,4],[2,5],[6],[7],[8]] => 1001111 [[1,2,4],[3,5],[6],[7],[8]] => 0101111 [[1,2,3],[4,5],[6],[7],[8]] => 0010111 [[1,7,8],[2],[3],[4],[5],[6]] => 1111100 [[1,6,8],[2],[3],[4],[5],[7]] => 1111010 [[1,5,8],[2],[3],[4],[6],[7]] => 1110110 [[1,4,8],[2],[3],[5],[6],[7]] => 1101110 [[1,3,8],[2],[4],[5],[6],[7]] => 1011110 [[1,2,8],[3],[4],[5],[6],[7]] => 0111110 [[1,6,7],[2],[3],[4],[5],[8]] => 1111001 [[1,5,7],[2],[3],[4],[6],[8]] => 1110101 [[1,4,7],[2],[3],[5],[6],[8]] => 1101101 [[1,3,7],[2],[4],[5],[6],[8]] => 1011101 [[1,2,7],[3],[4],[5],[6],[8]] => 0111101 [[1,5,6],[2],[3],[4],[7],[8]] => 1110011 [[1,4,6],[2],[3],[5],[7],[8]] => 1101011 [[1,3,6],[2],[4],[5],[7],[8]] => 1011011 [[1,2,6],[3],[4],[5],[7],[8]] => 0111011 [[1,4,5],[2],[3],[6],[7],[8]] => 1100111 [[1,3,5],[2],[4],[6],[7],[8]] => 1010111 [[1,2,5],[3],[4],[6],[7],[8]] => 0110111 [[1,3,4],[2],[5],[6],[7],[8]] => 1001111 [[1,2,4],[3],[5],[6],[7],[8]] => 0101111 [[1,2,3],[4],[5],[6],[7],[8]] => 0011111 [[1,5],[2,6],[3,7],[4,8]] => 1110111 [[1,4],[2,6],[3,7],[5,8]] => 1101011 [[1,3],[2,6],[4,7],[5,8]] => 1011011 [[1,2],[3,6],[4,7],[5,8]] => 0111011 [[1,4],[2,5],[3,7],[6,8]] => 1101101 [[1,3],[2,5],[4,7],[6,8]] => 1010101 [[1,2],[3,5],[4,7],[6,8]] => 0110101 [[1,3],[2,4],[5,7],[6,8]] => 1011101 [[1,2],[3,4],[5,7],[6,8]] => 0101101 [[1,4],[2,5],[3,6],[7,8]] => 1101110 [[1,3],[2,5],[4,6],[7,8]] => 1010110 [[1,2],[3,5],[4,6],[7,8]] => 0110110 [[1,3],[2,4],[5,6],[7,8]] => 1011010 [[1,2],[3,4],[5,6],[7,8]] => 0101010 [[1,6],[2,7],[3,8],[4],[5]] => 1111011 [[1,5],[2,7],[3,8],[4],[6]] => 1110101 [[1,4],[2,7],[3,8],[5],[6]] => 1101101 [[1,3],[2,7],[4,8],[5],[6]] => 1011101 [[1,2],[3,7],[4,8],[5],[6]] => 0111101 [[1,5],[2,6],[3,8],[4],[7]] => 1110110 [[1,4],[2,6],[3,8],[5],[7]] => 1101010 [[1,3],[2,6],[4,8],[5],[7]] => 1011010 [[1,2],[3,6],[4,8],[5],[7]] => 0111010 [[1,4],[2,5],[3,8],[6],[7]] => 1101110 [[1,3],[2,5],[4,8],[6],[7]] => 1010110 [[1,2],[3,5],[4,8],[6],[7]] => 0110110 [[1,3],[2,4],[5,8],[6],[7]] => 1011110 [[1,2],[3,4],[5,8],[6],[7]] => 0101110 [[1,5],[2,6],[3,7],[4],[8]] => 1110111 [[1,4],[2,6],[3,7],[5],[8]] => 1101011 [[1,3],[2,6],[4,7],[5],[8]] => 1011011 [[1,2],[3,6],[4,7],[5],[8]] => 0111011 [[1,4],[2,5],[3,7],[6],[8]] => 1101101 [[1,3],[2,5],[4,7],[6],[8]] => 1010101 [[1,2],[3,5],[4,7],[6],[8]] => 0110101 [[1,3],[2,4],[5,7],[6],[8]] => 1011101 [[1,2],[3,4],[5,7],[6],[8]] => 0101101 [[1,4],[2,5],[3,6],[7],[8]] => 1101111 [[1,3],[2,5],[4,6],[7],[8]] => 1010111 [[1,2],[3,5],[4,6],[7],[8]] => 0110111 [[1,3],[2,4],[5,6],[7],[8]] => 1011011 [[1,2],[3,4],[5,6],[7],[8]] => 0101011 [[1,7],[2,8],[3],[4],[5],[6]] => 1111101 [[1,6],[2,8],[3],[4],[5],[7]] => 1111010 [[1,5],[2,8],[3],[4],[6],[7]] => 1110110 [[1,4],[2,8],[3],[5],[6],[7]] => 1101110 [[1,3],[2,8],[4],[5],[6],[7]] => 1011110 [[1,2],[3,8],[4],[5],[6],[7]] => 0111110 [[1,6],[2,7],[3],[4],[5],[8]] => 1111011 [[1,5],[2,7],[3],[4],[6],[8]] => 1110101 [[1,4],[2,7],[3],[5],[6],[8]] => 1101101 [[1,3],[2,7],[4],[5],[6],[8]] => 1011101 [[1,2],[3,7],[4],[5],[6],[8]] => 0111101 [[1,5],[2,6],[3],[4],[7],[8]] => 1110111 [[1,4],[2,6],[3],[5],[7],[8]] => 1101011 [[1,3],[2,6],[4],[5],[7],[8]] => 1011011 [[1,2],[3,6],[4],[5],[7],[8]] => 0111011 [[1,4],[2,5],[3],[6],[7],[8]] => 1101111 [[1,3],[2,5],[4],[6],[7],[8]] => 1010111 [[1,2],[3,5],[4],[6],[7],[8]] => 0110111 [[1,3],[2,4],[5],[6],[7],[8]] => 1011111 [[1,2],[3,4],[5],[6],[7],[8]] => 0101111 [[1,8],[2],[3],[4],[5],[6],[7]] => 1111110 [[1,7],[2],[3],[4],[5],[6],[8]] => 1111101 [[1,6],[2],[3],[4],[5],[7],[8]] => 1111011 [[1,5],[2],[3],[4],[6],[7],[8]] => 1110111 [[1,4],[2],[3],[5],[6],[7],[8]] => 1101111 [[1,3],[2],[4],[5],[6],[7],[8]] => 1011111 [[1,2],[3],[4],[5],[6],[7],[8]] => 0111111 [[1],[2],[3],[4],[5],[6],[7],[8]] => 1111111 [[1,3,5,7,9],[2,4,6,8,10]] => 101010101 [[1,3,5,7,8],[2,4,6,9,10]] => 101010010 [[1,3,5,6,9],[2,4,7,8,10]] => 101001001 [[1,3,5,6,8],[2,4,7,9,10]] => 101001010 [[1,3,5,6,7],[2,4,8,9,10]] => 101000100 [[1,3,4,7,9],[2,5,6,8,10]] => 100100101 [[1,3,4,7,8],[2,5,6,9,10]] => 100100010 [[1,3,4,6,9],[2,5,7,8,10]] => 100101001 [[1,3,4,6,8],[2,5,7,9,10]] => 100101010 [[1,3,4,6,7],[2,5,8,9,10]] => 100100100 [[1,3,4,5,9],[2,6,7,8,10]] => 100010001 [[1,3,4,5,8],[2,6,7,9,10]] => 100010010 [[1,3,4,5,7],[2,6,8,9,10]] => 100010100 [[1,3,4,5,6],[2,7,8,9,10]] => 100001000 [[1,2,5,7,9],[3,4,6,8,10]] => 010010101 [[1,2,5,7,8],[3,4,6,9,10]] => 010010010 [[1,2,5,6,9],[3,4,7,8,10]] => 010001001 [[1,2,5,6,8],[3,4,7,9,10]] => 010001010 [[1,2,5,6,7],[3,4,8,9,10]] => 010000100 [[1,2,4,7,9],[3,5,6,8,10]] => 010100101 [[1,2,4,7,8],[3,5,6,9,10]] => 010100010 [[1,2,4,6,9],[3,5,7,8,10]] => 010101001 [[1,2,4,6,8],[3,5,7,9,10]] => 010101010 [[1,2,4,6,7],[3,5,8,9,10]] => 010100100 [[1,2,4,5,9],[3,6,7,8,10]] => 010010001 [[1,2,4,5,8],[3,6,7,9,10]] => 010010010 [[1,2,4,5,7],[3,6,8,9,10]] => 010010100 [[1,2,4,5,6],[3,7,8,9,10]] => 010001000 [[1,2,3,7,9],[4,5,6,8,10]] => 001000101 [[1,2,3,7,8],[4,5,6,9,10]] => 001000010 [[1,2,3,6,9],[4,5,7,8,10]] => 001001001 [[1,2,3,6,8],[4,5,7,9,10]] => 001001010 [[1,2,3,6,7],[4,5,8,9,10]] => 001000100 [[1,2,3,5,9],[4,6,7,8,10]] => 001010001 [[1,2,3,5,8],[4,6,7,9,10]] => 001010010 [[1,2,3,5,7],[4,6,8,9,10]] => 001010100 [[1,2,3,5,6],[4,7,8,9,10]] => 001001000 [[1,2,3,4,9],[5,6,7,8,10]] => 000100001 [[1,2,3,4,8],[5,6,7,9,10]] => 000100010 [[1,2,3,4,7],[5,6,8,9,10]] => 000100100 [[1,2,3,4,6],[5,7,8,9,10]] => 000101000 [[1,2,3,4,5],[6,7,8,9,10]] => 000010000 [[1,3,5,7,9,11],[2,4,6,8,10,12]] => 10101010101 [[1,3,5,7,9,10],[2,4,6,8,11,12]] => 10101010010 [[1,3,5,7,8,11],[2,4,6,9,10,12]] => 10101001001 [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 10101001010 [[1,3,5,7,8,9],[2,4,6,10,11,12]] => 10101000100 [[1,3,5,6,9,11],[2,4,7,8,10,12]] => 10100100101 [[1,3,5,6,9,10],[2,4,7,8,11,12]] => 10100100010 [[1,3,5,6,8,11],[2,4,7,9,10,12]] => 10100101001 [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 10100101010 [[1,3,5,6,8,9],[2,4,7,10,11,12]] => 10100100100 [[1,3,5,6,7,11],[2,4,8,9,10,12]] => 10100010001 [[1,3,5,6,7,10],[2,4,8,9,11,12]] => 10100010010 [[1,3,5,6,7,9],[2,4,8,10,11,12]] => 10100010100 [[1,3,5,6,7,8],[2,4,9,10,11,12]] => 10100001000 [[1,3,4,7,9,11],[2,5,6,8,10,12]] => 10010010101 [[1,3,4,7,9,10],[2,5,6,8,11,12]] => 10010010010 [[1,3,4,7,8,11],[2,5,6,9,10,12]] => 10010001001 [[1,3,4,7,8,10],[2,5,6,9,11,12]] => 10010001010 [[1,3,4,7,8,9],[2,5,6,10,11,12]] => 10010000100 [[1,3,4,6,9,11],[2,5,7,8,10,12]] => 10010100101 [[1,3,4,6,9,10],[2,5,7,8,11,12]] => 10010100010 [[1,3,4,6,8,11],[2,5,7,9,10,12]] => 10010101001 [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 10010101010 [[1,3,4,6,8,9],[2,5,7,10,11,12]] => 10010100100 [[1,3,4,6,7,11],[2,5,8,9,10,12]] => 10010010001 [[1,3,4,6,7,10],[2,5,8,9,11,12]] => 10010010010 [[1,3,4,6,7,9],[2,5,8,10,11,12]] => 10010010100 [[1,3,4,6,7,8],[2,5,9,10,11,12]] => 10010001000 [[1,3,4,5,9,11],[2,6,7,8,10,12]] => 10001000101 [[1,3,4,5,9,10],[2,6,7,8,11,12]] => 10001000010 [[1,3,4,5,8,11],[2,6,7,9,10,12]] => 10001001001 [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 10001001010 [[1,3,4,5,8,9],[2,6,7,10,11,12]] => 10001000100 [[1,3,4,5,7,11],[2,6,8,9,10,12]] => 10001010001 [[1,3,4,5,7,10],[2,6,8,9,11,12]] => 10001010010 [[1,3,4,5,7,9],[2,6,8,10,11,12]] => 10001010100 [[1,3,4,5,7,8],[2,6,9,10,11,12]] => 10001001000 [[1,3,4,5,6,11],[2,7,8,9,10,12]] => 10000100001 [[1,3,4,5,6,10],[2,7,8,9,11,12]] => 10000100010 [[1,3,4,5,6,9],[2,7,8,10,11,12]] => 10000100100 [[1,3,4,5,6,8],[2,7,9,10,11,12]] => 10000101000 [[1,3,4,5,6,7],[2,8,9,10,11,12]] => 10000010000 [[1,2,5,7,9,11],[3,4,6,8,10,12]] => 01001010101 ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:27 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:27 by Martin Rubey