************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
* *
* 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