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Identifier
Mp00134: Standard tableaux descent wordBinary words
Images
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Cc0007;cc-rep-0
[]=> [[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 [[1,2,3,4,5,6,7,8,9]]=>00000000 [[1,2,3,4,5,6,7,8],[9]]=>00000001 [[1,2,3,4,5,6,7],[8,9]]=>00000010 [[1,2,3,4,5,6,7],[8],[9]]=>00000011 [[1,2,3,4,5,6],[7,8,9]]=>00000100 [[1,2,3,4,5,6],[7,8],[9]]=>00000101 [[1,2,3,4,5,6],[7],[8],[9]]=>00000111 [[1,2,3,4,5],[6,7,8,9]]=>00001000 [[1,2,3,4,5],[6,7,8],[9]]=>00001001 [[1,2,3,4,5],[6,7],[8,9]]=>00001010 [[1,2,3,4,5],[6,7],[8],[9]]=>00001011 [[1,2,3,4,5],[6],[7],[8],[9]]=>00001111 [[1,2,3,4],[5,6,7,8],[9]]=>00010001 [[1,2,3,4],[5,6,7],[8,9]]=>00010010 [[1,2,3,4],[5,6,7],[8],[9]]=>00010011 [[1,2,3,4],[5,6],[7,8],[9]]=>00010101 [[1,2,3,4],[5,6],[7],[8],[9]]=>00010111 [[1,2,3,4],[5],[6],[7],[8],[9]]=>00011111 [[1,2,3],[4,5,6],[7,8,9]]=>00100100 [[1,2,3],[4,5,6],[7,8],[9]]=>00100101 [[1,2,3],[4,5,6],[7],[8],[9]]=>00100111 [[1,2,3],[4,5],[6,7],[8,9]]=>00101010 [[1,2,3],[4,5],[6,7],[8],[9]]=>00101011 [[1,2,3],[4,5],[6],[7],[8],[9]]=>00101111 [[1,2,3],[4],[5],[6],[7],[8],[9]]=>00111111 [[1,2],[3,4],[5,6],[7,8],[9]]=>01010101 [[1,2],[3,4],[5,6],[7],[8],[9]]=>01010111 [[1,2],[3,4],[5],[6],[7],[8],[9]]=>01011111 [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>01111111 [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>11111111 [[1,3,4,5,6,7,8,9],[2]]=>10000000 [[1,2,5,6,7,8,9],[3,4]]=>01000000 [[1,4,5,6,7,8,9],[2],[3]]=>11000000 [[1,2,3,7,8,9],[4,5,6]]=>00100000 [[1,3,6,7,8,9],[2,5],[4]]=>10100000 [[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [[1,2,3,4,9],[5,6,7,8]]=>00010000 [[1,3,4,8,9],[2,6,7],[5]]=>10010000 [[1,2,7,8,9],[3,4],[5,6]]=>01010000 [[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [[1,6,7,8,9],[2],[3],[4],[5]]=>11110000 [[1,3,4,5],[2,7,8,9],[6]]=>10001000 [[1,2,5,9],[3,4,8],[6,7]]=>01001000 [[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [[1,3,8,9],[2,5],[4,7],[6]]=>10101000 [[1,5,8,9],[2,7],[3],[4],[6]]=>11101000 [[1,7,8,9],[2],[3],[4],[5],[6]]=>11111000 [[1,3,6],[2,5,9],[4,8],[7]]=>10100100 [[1,5,6],[2,8,9],[3],[4],[7]]=>11100100 [[1,2,9],[3,4],[5,6],[7,8]]=>01010100 [[1,4,9],[2,6],[3,8],[5],[7]]=>11010100 [[1,6,9],[2,8],[3],[4],[5],[7]]=>11110100 [[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [[1,3],[2,5],[4,7],[6,9],[8]]=>10101010 [[1,5],[2,7],[3,9],[4],[6],[8]]=>11101010 [[1,7],[2,9],[3],[4],[5],[6],[8]]=>11111010 [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [[1,8],[2,9],[3],[4],[5],[6],[7]]=>11111101 [[1,7],[2,8],[3,9],[4],[5],[6]]=>11111011 [[1,7,9],[2,8],[3],[4],[5],[6]]=>11111010 [[1,6],[2,7],[3,8],[4,9],[5]]=>11110111 [[1,6,9],[2,7],[3,8],[4],[5]]=>11110110 [[1,6,8],[2,7,9],[3],[4],[5]]=>11110101 [[1,6,8,9],[2,7],[3],[4],[5]]=>11110100 [[1,5,9],[2,6],[3,7],[4,8]]=>11101110 [[1,5,8],[2,6,9],[3,7],[4]]=>11101101 [[1,5,8,9],[2,6],[3,7],[4]]=>11101100 [[1,5,7,9],[2,6,8],[3],[4]]=>11101010 [[1,5,7,8,9],[2,6],[3],[4]]=>11101000 [[1,4,7],[2,5,8],[3,6,9]]=>11011011 [[1,4,7,9],[2,5,8],[3,6]]=>11011010 [[1,4,7,8,9],[2,5],[3,6]]=>11011000 [[1,4,6,8],[2,5,7,9],[3]]=>11010101 [[1,4,6,8,9],[2,5,7],[3]]=>11010100 [[1,4,6,7,8,9],[2,5],[3]]=>11010000 [[1,3,5,7,9],[2,4,6,8]]=>10101010 [[1,3,5,7,8,9],[2,4,6]]=>10101000 [[1,3,5,6,7,8,9],[2,4]]=>10100000 [[1,3],[2,4],[5],[6],[7],[8],[9]]=>10111111 [[1,4],[2,5],[3,6],[7],[8],[9]]=>11011111 [[1,2,4],[3,5],[6],[7],[8],[9]]=>01011111 [[1,5],[2,6],[3,7],[4,8],[9]]=>11101111 [[1,2,5],[3,6],[4,7],[8],[9]]=>01101111 [[1,3,5],[2,4,6],[7],[8],[9]]=>10101111 [[1,2,3,5],[4,6],[7],[8],[9]]=>00101111 [[1,2,6],[3,7],[4,8],[5,9]]=>01110111 [[1,3,6],[2,4,7],[5,8],[9]]=>10110111 [[1,2,3,6],[4,7],[5,8],[9]]=>00110111 [[1,2,4,6],[3,5,7],[8],[9]]=>01010111 [[1,2,3,4,6],[5,7],[8],[9]]=>00010111 [[1,2,4,7],[3,5,8],[6,9]]=>01011011 [[1,2,3,4,7],[5,8],[6,9]]=>00011011 [[1,3,5,7],[2,4,6,8],[9]]=>10101011 [[1,2,3,5,7],[4,6,8],[9]]=>00101011 [[1,2,3,4,5,7],[6,8],[9]]=>00001011 [[1,2,4,6,8],[3,5,7,9]]=>01010101 [[1,2,3,4,6,8],[5,7,9]]=>00010101 [[1,2,3,4,5,6,8],[7,9]]=>00000101 [[1,2,3,4,5,6,7,9],[8]]=>00000010 [[1,2,3,4,5,6,9],[7,8]]=>00000100 [[1,2,3,4,5,6,9],[7],[8]]=>00000110 [[1,2,3,4,5,9],[6,7,8]]=>00001000 [[1,2,3,4,5,9],[6,7],[8]]=>00001010 [[1,2,3,4,5,9],[6],[7],[8]]=>00001110 [[1,2,3,4,9],[5,6,7],[8]]=>00010010 [[1,2,3,4,9],[5,6],[7,8]]=>00010100 [[1,2,3,4,9],[5,6],[7],[8]]=>00010110 [[1,2,3,4,9],[5],[6],[7],[8]]=>00011110 [[1,2,3,7],[4,5,6,9],[8]]=>00100010 [[1,2,3,9],[4,5,6],[7,8]]=>00100100 [[1,2,3,9],[4,5,6],[7],[8]]=>00100110 [[1,2,3,9],[4,5],[6,7],[8]]=>00101010 [[1,2,3,9],[4,5],[6],[7],[8]]=>00101110 [[1,2,3,9],[4],[5],[6],[7],[8]]=>00111110 [[1,2,5],[3,4,8],[6,7,9]]=>01001001 [[1,2,5],[3,4,9],[6,7],[8]]=>01001010 [[1,2,5],[3,4,9],[6],[7],[8]]=>01001110 [[1,2,9],[3,4],[5,6],[7],[8]]=>01010110 [[1,2,9],[3,4],[5],[6],[7],[8]]=>01011110 [[1,2,9],[3],[4],[5],[6],[7],[8]]=>01111110 [[1,3],[2,5],[4,9],[6],[7],[8]]=>10101110 [[1,3],[2,9],[4],[5],[6],[7],[8]]=>10111110 [[1,2,4,5,6,7,8,9],[3]]=>01000000 [[1,3,4,6,7,8,9],[2,5]]=>10010000 [[1,3,5,6,7,8,9],[2],[4]]=>10100000 [[1,3,5,6,8,9],[2,4,7]]=>10100100 [[1,2,4,7,8,9],[3,5],[6]]=>01011000 [[1,4,6,7,8,9],[2],[3],[5]]=>11010000 [[1,3,5,7,8],[2,4,6,9]]=>10101001 [[1,2,5,7,9],[3,6,8],[4]]=>01101010 [[1,4,6,8,9],[2,5],[3,7]]=>11010100 [[1,3,5,8,9],[2,6],[4],[7]]=>10101100 [[1,5,7,8,9],[2],[3],[4],[6]]=>11101000 [[1,2,5,6],[3,7,8,9],[4]]=>01100100 [[1,3,4,7],[2,6,8],[5,9]]=>10010011 [[1,3,6,8],[2,7,9],[4],[5]]=>10110101 [[1,2,6,9],[3,4],[5,7],[8]]=>01010110 [[1,4,6,9],[2,7],[3],[5],[8]]=>11010110 [[1,6,8,9],[2],[3],[4],[5],[7]]=>11110100 [[1,2,4],[3,5,7],[6,8],[9]]=>01011011 [[1,4,7],[2,8,9],[3],[5],[6]]=>11011010 [[1,5,8],[2,6],[3,7],[4,9]]=>11101101 [[1,3,7],[2,5],[4,8],[6],[9]]=>10101011 [[1,5,7],[2,8],[3],[4],[6],[9]]=>11101011 [[1,7,9],[2],[3],[4],[5],[6],[8]]=>11111010 [[1,4],[2,6],[3,8],[5],[7],[9]]=>11010101 [[1,6],[2,8],[3],[4],[5],[7],[9]]=>11110101 [[1,8],[2],[3],[4],[5],[6],[7],[9]]=>11111101 [[1,3,4,5,6,7,8],[2,9]]=>10000001 [[1,3,4,5,6,7,8],[2],[9]]=>10000001 [[1,3,4,5,6,7],[2,8,9]]=>10000010 [[1,3,4,5,6,7],[2,9],[8]]=>10000010 [[1,3,4,5,6,7],[2],[8],[9]]=>10000011 [[1,3,4,5,6],[2,7,8,9]]=>10000100 [[1,3,4,5,6],[2,8,9],[7]]=>10000100 [[1,3,4,5,6],[2,8],[7,9]]=>10000101 [[1,3,4,5,6],[2,8],[7],[9]]=>10000101 [[1,3,4,5,6],[2],[7],[8],[9]]=>10000111 [[1,3,4,5],[2,7,8],[6,9]]=>10001001 [[1,3,4,5],[2,7,8],[6],[9]]=>10001001 [[1,3,4,5],[2,7],[6,9],[8]]=>10001010 [[1,3,4,5],[2,7],[6],[8],[9]]=>10001011 [[1,3,4,5],[2],[6],[7],[8],[9]]=>10001111 [[1,3,4],[2,6,7],[5,8,9]]=>10010010 [[1,3,4],[2,6,7],[5,9],[8]]=>10010010 [[1,3,4],[2,6,7],[5],[8],[9]]=>10010011 [[1,3,4],[2,6],[5,8],[7,9]]=>10010101 [[1,3,4],[2,6],[5,8],[7],[9]]=>10010101 [[1,3,4],[2,6],[5],[7],[8],[9]]=>10010111 [[1,3,4],[2],[5],[6],[7],[8],[9]]=>10011111 [[1,3],[2,5],[4,7],[6],[8],[9]]=>10101011 [[1,3],[2,5],[4],[6],[7],[8],[9]]=>10101111 [[1,3],[2],[4],[5],[6],[7],[8],[9]]=>10111111 [[1,2,5,6,7,8],[3,4,9]]=>01000001 [[1,2,5,6,7,8],[3,4],[9]]=>01000001 [[1,4,5,6,7,8],[2],[3],[9]]=>11000001 [[1,2,3,7,8],[4,5,6,9]]=>00100001 [[1,2,3,7,8],[4,5,6],[9]]=>00100001 [[1,3,6,7,8],[2,5],[4,9]]=>10100001 [[1,3,6,7,8],[2,5],[4],[9]]=>10100001 [[1,5,6,7,8],[2],[3],[4],[9]]=>11100001 [[1,3,4,8],[2,6,7],[5,9]]=>10010001 [[1,3,4,8],[2,6,7],[5],[9]]=>10010001 [[1,2,7,8],[3,4],[5,6],[9]]=>01010001 [[1,4,7,8],[2,6],[3],[5],[9]]=>11010001 [[1,6,7,8],[2],[3],[4],[5],[9]]=>11110001 [[1,2,5],[3,4,8],[6,7],[9]]=>01001001 [[1,4,5],[2,7,8],[3],[6],[9]]=>11001001 [[1,3,8],[2,5],[4,7],[6,9]]=>10101001 [[1,3,8],[2,5],[4,7],[6],[9]]=>10101001 [[1,5,8],[2,7],[3],[4],[6],[9]]=>11101001 [[1,7,8],[2],[3],[4],[5],[6],[9]]=>11111001 [[1,2,3,6,7,8,9],[4,5]]=>00100000 [[1,2,5,6,7,8,9],[3],[4]]=>01100000 [[1,2,3,4,8,9],[5,6,7]]=>00010000 [[1,2,4,7,8,9],[3,6],[5]]=>01010000 [[1,2,6,7,8,9],[3],[4],[5]]=>01110000 [[1,2,4,5,9],[3,7,8],[6]]=>01001000 [[1,2,3,8,9],[4,5],[6,7]]=>00101000 [[1,2,5,8,9],[3,7],[4],[6]]=>01101000 [[1,2,7,8,9],[3],[4],[5],[6]]=>01111000 [[1,2,5,6],[3,4,8,9],[7]]=>01000100 [[1,2,3,6],[4,5,9],[7,8]]=>00100100 [[1,2,5,6],[3,8,9],[4],[7]]=>01100100 [[1,2,4,9],[3,6],[5,8],[7]]=>01010100 [[1,2,6,9],[3,8],[4],[5],[7]]=>01110100 [[1,2,8,9],[3],[4],[5],[6],[7]]=>01111100 [[1,2,4],[3,6,7],[5,9],[8]]=>01010010 [[1,2,7],[3,6,9],[4],[5],[8]]=>01110010 [[1,2,5],[3,7],[4,9],[6],[8]]=>01101010 [[1,2,7],[3,9],[4],[5],[6],[8]]=>01111010 [[1,2],[3,6],[4,8],[5],[7],[9]]=>01110101 [[1,2],[3,8],[4],[5],[6],[7],[9]]=>01111101 [[1,2,3,4,7,8,9],[5,6]]=>00010000 [[1,2,4,5,8,9],[3,7],[6]]=>01001000 [[1,2,4,5,6,7],[3,9],[8]]=>01000010 [[1,2,5,6,9],[3,8],[4],[7]]=>01100100 [[1,2,3,4,7,8],[5,6],[9]]=>00010001 [[1,2,5,6,7,8],[3],[4],[9]]=>01100001 [[1,2,4,5],[3,7],[6,9],[8]]=>01001010 [[1,2,6,7],[3,9],[4],[5],[8]]=>01110010 [[1,2,5,6],[3,8],[4],[7],[9]]=>01100101 [[1,2,7,8],[3],[4],[5],[6],[9]]=>01111001 [[1,2],[3,5],[4],[6],[7],[8],[9]]=>01101111 [[1,2,4],[3],[5],[6],[7],[8],[9]]=>01011111 [[1,2],[3,4],[5,7],[6],[8],[9]]=>01011011 [[1,3,6],[2,5],[4],[7],[8],[9]]=>10100111 [[1,2,3,5],[4],[6],[7],[8],[9]]=>00101111 [[1,2],[3,4],[5,6],[7,9],[8]]=>01010110 [[1,2,3],[4,5,7],[6],[8],[9]]=>00101011 [[1,2,4,7],[3,6],[5],[8],[9]]=>01010011 [[1,2,3,4,6],[5],[7],[8],[9]]=>00010111 [[1,3,4],[2,7],[5,8],[6,9]]=>10011011 [[1,2,5],[3,6,9],[4,8],[7]]=>01101100 [[1,3,5,8],[2,4,7],[6],[9]]=>10101001 [[1,2,3,5,8],[4,7],[6],[9]]=>00101001 [[1,2,3,4,5,7],[6],[8],[9]]=>00001011 [[1,3,6,9],[2,5,8],[4,7]]=>10100100 [[1,2,3,5,6],[4,8],[7,9]]=>00100101 [[1,2,3,4],[5,6,7,9],[8]]=>00010010 [[1,2,4,6,9],[3,5,8],[7]]=>01010100 [[1,2,3,4,6,9],[5,8],[7]]=>00010100 [[1,2,3,4,5,6,8],[7],[9]]=>00000101 [[1,2,3,5,7,9],[4,6,8]]=>00101010 [[1,2,3,4,5,7,9],[6,8]]=>00001010 [[1,2,8],[3,9],[4],[5],[6],[7]]=>01111101 [[1,2,7],[3,8],[4,9],[5],[6]]=>01111011 [[1,2,7,9],[3,8],[4],[5],[6]]=>01111010 [[1,2,6,9],[3,7],[4,8],[5]]=>01110110 [[1,2,6,8],[3,7,9],[4],[5]]=>01110101 [[1,2,6,8,9],[3,7],[4],[5]]=>01110100 [[1,2,5,8],[3,6,9],[4,7]]=>01101101 [[1,2,5,8,9],[3,6],[4,7]]=>01101100 [[1,2,5,7,8,9],[3,6],[4]]=>01101000 [[1,2,4,6,8,9],[3,5,7]]=>01010100 [[1,2,4,6,7,8,9],[3,5]]=>01010000 [[1,5],[2,6],[3],[4],[7],[8],[9]]=>11101111 [[1,3,6],[2,7],[4],[5],[8],[9]]=>10110111 [[1,3,8],[2,9],[4],[5],[6],[7]]=>10111101 [[1,5,7],[2,6,8],[3],[4],[9]]=>11101011 [[1,3,4,7],[2,8],[5],[6],[9]]=>10011011 [[1,5,9],[2,6],[3],[4],[7],[8]]=>11101110 [[1,3,4,9],[2],[5],[6],[7],[8]]=>10011110 [[1,3,4,5,8],[2,9],[6],[7]]=>10001101 [[1,3,4,7,9],[2,8],[5],[6]]=>10011010 [[1,3,4,5,6,9],[2],[7],[8]]=>10000110 [[1,6],[2,8],[3,9],[4],[5],[7]]=>11110101 [[1,6,8],[2,9],[3],[4],[5],[7]]=>11110101 [[1,5],[2,7],[3,8],[4,9],[6]]=>11101011 [[1,5,8],[2,7],[3,9],[4],[6]]=>11101001 [[1,5,7],[2,8,9],[3],[4],[6]]=>11101010 [[1,5,7,9],[2,8],[3],[4],[6]]=>11101010 [[1,4,8],[2,6],[3,7],[5,9]]=>11010101 [[1,4,7],[2,6,9],[3,8],[5]]=>11010010 [[1,4,7,9],[2,6],[3,8],[5]]=>11010010 [[1,4,6,8],[2,7,9],[3],[5]]=>11010101 [[1,4,6,8,9],[2,7],[3],[5]]=>11010100 [[1,3,6],[2,5,8],[4,7,9]]=>10100101 [[1,3,6,8],[2,5,9],[4,7]]=>10100101 [[1,3,6,8,9],[2,5],[4,7]]=>10100100 [[1,3,5,7],[2,6,8,9],[4]]=>10101010 [[1,3,5,7,9],[2,6,8],[4]]=>10101010 [[1,3,5,7,8,9],[2,6],[4]]=>10101000 [[1,7],[2,8],[3],[4],[5],[6],[9]]=>11111011 [[1,6],[2,7],[3,8],[4],[5],[9]]=>11110111 [[1,6,8],[2,7],[3],[4],[5],[9]]=>11110101 [[1,5,8],[2,6],[3,7],[4],[9]]=>11101101 [[1,5,7,8],[2,6],[3],[4],[9]]=>11101001 [[1,4,8],[2,5],[3,6],[7,9]]=>11011101 [[1,4,7],[2,5,8],[3,6],[9]]=>11011011 [[1,4,7,8],[2,5],[3,6],[9]]=>11011001 [[1,4,6,8],[2,5,7],[3],[9]]=>11010101 [[1,4,6,7,8],[2,5],[3],[9]]=>11010001 [[1,3,6],[2,4,7],[5,8,9]]=>10110110 [[1,3,6,8],[2,4,7],[5,9]]=>10110101 [[1,3,6,7,8],[2,4],[5,9]]=>10110001 [[1,3,5,7,8],[2,4,6],[9]]=>10101001 [[1,3,5,6,7,8],[2,4],[9]]=>10100001 [[1,2,4,6,7,8],[3,5,9]]=>01010001 [[1,2,4,5,6,7,8],[3,9]]=>01000001 [[1,2],[3,9],[4],[5],[6],[7],[8]]=>01111110 [[1,2],[3,8],[4,9],[5],[6],[7]]=>01111101 [[1,2],[3,7],[4,8],[5,9],[6]]=>01111011 [[1,2,7],[3,8,9],[4],[5],[6]]=>01111010 [[1,2,6],[3,7,9],[4,8],[5]]=>01110110 [[1,2,5],[3,6,8],[4,7,9]]=>01101101 [[1,2,5,7],[3,6,8,9],[4]]=>01101010 [[1,3],[2,8],[4,9],[5],[6],[7]]=>10111101 [[1,2,3],[4,9],[5],[6],[7],[8]]=>00111110 [[1,4],[2,7],[3,8],[5,9],[6]]=>11011011 [[1,3,9],[2,4],[5,8],[6],[7]]=>10111100 [[1,2,4],[3,8,9],[5],[6],[7]]=>01011100 [[1,2,3,4],[5,9],[6],[7],[8]]=>00011110 [[1,4,9],[2,5],[3,7],[6,8]]=>11011010 [[1,2,5],[3,4,9],[6,8],[7]]=>01001100 [[1,4,5,9],[2,7],[3,8],[6]]=>11001010 [[1,2,3,5],[4,8,9],[6],[7]]=>00101100 [[1,2,3,4,5],[6,9],[7],[8]]=>00001110 [[1,4,5,6,9],[2,7],[3,8]]=>11000110 [[1,2,4,6],[3,5,8,9],[7]]=>01010100 [[1,2,3,4,6],[5,8,9],[7]]=>00010100 [[1,2,3,4,5,6],[7,9],[8]]=>00000110 [[1,2,3,5,7],[4,6,8,9]]=>00101010 [[1,2,3,4,5,7],[6,8,9]]=>00001010 [[1,3],[2,4],[5,9],[6],[7],[8]]=>10111110 [[1,3,9],[2,4],[5],[6],[7],[8]]=>10111110 [[1,4],[2,5],[3,6],[7,9],[8]]=>11011110 [[1,4,9],[2,5],[3,6],[7],[8]]=>11011110 [[1,2,4],[3,5,9],[6],[7],[8]]=>01011110 [[1,2,4,9],[3,5],[6],[7],[8]]=>01011110 [[1,2,5],[3,6,9],[4,7],[8]]=>01101110 [[1,2,5,9],[3,6],[4,7],[8]]=>01101110 [[1,3,5,9],[2,4,6],[7],[8]]=>10101110 [[1,2,3,5,9],[4,6],[7],[8]]=>00101110 [[1,3,6,9],[2,4,7],[5,8]]=>10110110 [[1,2,3,6,9],[4,7],[5,8]]=>00110110 [[1,2,4,6],[3,5,7,9],[8]]=>01010110 [[1,2,4,6,9],[3,5,7],[8]]=>01010110 [[1,2,3,4,6,9],[5,7],[8]]=>00010110 [[1,4],[2,5],[3],[6],[7],[8],[9]]=>11011111 [[1,5],[2,6],[3,7],[4],[8],[9]]=>11101111 [[1,3,5],[2,6],[4],[7],[8],[9]]=>10101111 [[1,3,6],[2,7],[4,8],[5],[9]]=>10110111 [[1,4,6],[2,5,7],[3],[8],[9]]=>11010111 [[1,3,4,6],[2,7],[5],[8],[9]]=>10010111 [[1,3,7],[2,4],[5,8],[6,9]]=>10111011 [[1,4,7],[2,5,8],[3,9],[6]]=>11011011 [[1,3,4,7],[2,8],[5,9],[6]]=>10011011 [[1,3,5,7],[2,6,8],[4],[9]]=>10101011 [[1,3,4,5,7],[2,8],[6],[9]]=>10001011 [[1,3,5,8],[2,6,9],[4,7]]=>10101101 [[1,3,4,5,8],[2,6],[7,9]]=>10001101 [[1,3,4,6,8],[2,7,9],[5]]=>10010101 [[1,3,4,5,6,8],[2,9],[7]]=>10000101 [[1,3,4,5,7,9],[2,6,8]]=>10001010 [[1,3,4,5,6,7,9],[2,8]]=>10000010 [[1,2,3,7],[4,8],[5,9],[6]]=>00111011 [[1,2,3,5,8],[4,6,9],[7]]=>00101101 [[1,2,3,4,5,8],[6,9],[7]]=>00001101 [[1,2,3,4,5,7],[6,9],[8]]=>00001010 [[1,2,3,4,6],[5,7,8,9]]=>00010100 [[1,2,3,4,6],[5,7,9],[8]]=>00010110 [[1,2,3,4,6],[5,8],[7,9]]=>00010101 [[1,2,3,4,6],[5,8],[7],[9]]=>00010101 [[1,2,3,5],[4,6,7,9],[8]]=>00101010 [[1,2,3,5],[4,6,8],[7,9]]=>00101101 [[1,2,3,5],[4,6,8],[7],[9]]=>00101101 [[1,2,3,5],[4,7],[6,9],[8]]=>00101010 [[1,2,3,5],[4,7],[6],[8],[9]]=>00101011 [[1,2,4],[3,5,7],[6,8,9]]=>01011010 [[1,2,4],[3,5,7],[6,9],[8]]=>01011010 [[1,2,4],[3,5,7],[6],[8],[9]]=>01011011 [[1,2,4],[3,6],[5,8],[7,9]]=>01010101 [[1,2,4],[3,6],[5,8],[7],[9]]=>01010101 [[1,2,4],[3,6],[5],[7],[8],[9]]=>01010111 [[1,4,5,6],[2,8,9],[3],[7]]=>11000100 [[1,2,4,5,6,7],[3,8,9]]=>01000010 [[1,4,7],[2,6],[3,9],[5],[8]]=>11010010 [[1,6,7],[2,9],[3],[4],[5],[8]]=>11110010 [[1,2,3],[4,7,8],[5],[6],[9]]=>00111001 [[1,4,5,6,7,8],[2,9],[3]]=>11000001 [[1,2,3,5,6],[4,7,8,9]]=>00100100 [[1,2,5,6,7],[3,4,8],[9]]=>01000011 [[1,3,5,6,7],[2,8],[4,9]]=>10100011 [[1,5,6,7,8],[2,9],[3],[4]]=>11100001 [[1,2,3,6],[4,5,7,8],[9]]=>00100101 [[1,3,6,7],[2,4,8],[5,9]]=>10110011 [[1,2,3,6],[4,7,8],[5],[9]]=>00110101 [[1,4,6,7],[2,8],[3,9],[5]]=>11010011 [[1,6,7,8],[2,9],[3],[4],[5]]=>11110001 [[1,3,7],[2,5],[4,8],[6,9]]=>10101011 [[1,5,7],[2,8],[3,9],[4],[6]]=>11101011 [[1,7,8],[2,9],[3],[4],[5],[6]]=>11111001 [[1,4],[2,6],[3,8],[5,9],[7]]=>11010101 [[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 [[1,2,3,4,5,6,7,8,9,10]]=>000000000 [[1,2,3,4,5,6,7,8,9],[10]]=>000000001 [[1,2,3,4,5,6,7,8],[9,10]]=>000000010 [[1,2,3,4,5,6,7,8],[9],[10]]=>000000011 [[1,2,3,4,5,6,7],[8,9,10]]=>000000100 [[1,2,3,4,5,6,7],[8,9],[10]]=>000000101 [[1,2,3,4,5,6,7],[8],[9],[10]]=>000000111 [[1,2,3,4,5,6],[7,8,9,10]]=>000001000 [[1,2,3,4,5,6],[7,8,9],[10]]=>000001001 [[1,2,3,4,5,6],[7,8],[9,10]]=>000001010 [[1,2,3,4,5,6],[7,8],[9],[10]]=>000001011 [[1,2,3,4,5,6],[7],[8],[9],[10]]=>000001111 [[1,2,3,4,5],[6,7,8,9],[10]]=>000010001 [[1,2,3,4,5],[6,7,8],[9,10]]=>000010010 [[1,2,3,4,5],[6,7,8],[9],[10]]=>000010011 [[1,2,3,4,5],[6,7],[8,9],[10]]=>000010101 [[1,2,3,4,5],[6,7],[8],[9],[10]]=>000010111 [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>000011111 [[1,2,3,4],[5,6,7,8],[9,10]]=>000100010 [[1,2,3,4],[5,6,7,8],[9],[10]]=>000100011 [[1,2,3,4],[5,6,7],[8,9,10]]=>000100100 [[1,2,3,4],[5,6,7],[8,9],[10]]=>000100101 [[1,2,3,4],[5,6,7],[8],[9],[10]]=>000100111 [[1,2,3,4],[5,6],[7,8],[9,10]]=>000101010 [[1,2,3,4],[5,6],[7,8],[9],[10]]=>000101011 [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>000101111 [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>000111111 [[1,2,3],[4,5,6],[7,8,9],[10]]=>001001001 [[1,2,3],[4,5,6],[7,8],[9,10]]=>001001010 [[1,2,3],[4,5,6],[7,8],[9],[10]]=>001001011 [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>001001111 [[1,2,3],[4,5],[6,7],[8,9],[10]]=>001010101 [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>001010111 [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>001011111 [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>001111111 [[1,2],[3,4],[5,6],[7,8],[9,10]]=>010101010 [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>010101011 [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>010101111 [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>010111111 [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>011111111 [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>111111111 [[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [[1,2,3,7,8,9,10],[4,5,6]]=>001000000 [[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [[1,5,6,7,8,9,10],[2],[3],[4]]=>111000000 [[1,2,3,4,9,10],[5,6,7,8]]=>000100000 [[1,3,4,8,9,10],[2,6,7],[5]]=>100100000 [[1,2,7,8,9,10],[3,4],[5,6]]=>010100000 [[1,4,7,8,9,10],[2,6],[3],[5]]=>110100000 [[1,6,7,8,9,10],[2],[3],[4],[5]]=>111100000 [[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [[1,2,5,9,10],[3,4,8],[6,7]]=>010010000 [[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [[1,3,8,9,10],[2,5],[4,7],[6]]=>101010000 [[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>111110000 [[1,2,5,6],[3,4,9,10],[7,8]]=>010001000 [[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [[1,2,3,10],[4,5,6],[7,8,9]]=>001001000 [[1,3,6,10],[2,5,9],[4,8],[7]]=>101001000 [[1,5,6,10],[2,8,9],[3],[4],[7]]=>111001000 [[1,2,9,10],[3,4],[5,6],[7,8]]=>010101000 [[1,4,9,10],[2,6],[3,8],[5],[7]]=>110101000 [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>111101000 [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>111111000 [[1,3,4],[2,6,7],[5,9,10],[8]]=>100100100 [[1,2,7],[3,4,10],[5,6],[8,9]]=>010100100 [[1,4,7],[2,6,10],[3,9],[5],[8]]=>110100100 [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [[1,3,10],[2,5],[4,7],[6,9],[8]]=>101010100 [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>111010100 [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>111110100 [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>111111100 [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>110101010 [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>111101010 [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>111111101 [[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>111111011 [[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>111111010 [[1,7],[2,8],[3,9],[4,10],[5],[6]]=>111110111 [[1,7,10],[2,8],[3,9],[4],[5],[6]]=>111110110 [[1,7,9],[2,8,10],[3],[4],[5],[6]]=>111110101 [[1,7,9,10],[2,8],[3],[4],[5],[6]]=>111110100 [[1,6],[2,7],[3,8],[4,9],[5,10]]=>111101111 [[1,6,10],[2,7],[3,8],[4,9],[5]]=>111101110 [[1,6,9],[2,7,10],[3,8],[4],[5]]=>111101101 [[1,6,9,10],[2,7],[3,8],[4],[5]]=>111101100 [[1,6,8,10],[2,7,9],[3],[4],[5]]=>111101010 [[1,6,8,9,10],[2,7],[3],[4],[5]]=>111101000 [[1,5,9],[2,6,10],[3,7],[4,8]]=>111011101 [[1,5,9,10],[2,6],[3,7],[4,8]]=>111011100 [[1,5,8],[2,6,9],[3,7,10],[4]]=>111011011 [[1,5,8,10],[2,6,9],[3,7],[4]]=>111011010 [[1,5,8,9,10],[2,6],[3,7],[4]]=>111011000 [[1,5,7,9],[2,6,8,10],[3],[4]]=>111010101 [[1,5,7,9,10],[2,6,8],[3],[4]]=>111010100 [[1,5,7,8,9,10],[2,6],[3],[4]]=>111010000 [[1,4,7,10],[2,5,8],[3,6,9]]=>110110110 [[1,4,7,9],[2,5,8,10],[3,6]]=>110110101 [[1,4,7,9,10],[2,5,8],[3,6]]=>110110100 [[1,4,7,8,9,10],[2,5],[3,6]]=>110110000 [[1,4,6,8,10],[2,5,7,9],[3]]=>110101010 [[1,4,6,8,9,10],[2,5,7],[3]]=>110101000 [[1,4,6,7,8,9,10],[2,5],[3]]=>110100000 [[1,3,5,7,9,10],[2,4,6,8]]=>101010100 [[1,3,5,7,8,9,10],[2,4,6]]=>101010000 [[1,3,5,6,7,8,9,10],[2,4]]=>101000000 [[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>101111111 [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>110111111 [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>010111111 [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>111011111 [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>011011111 [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>101011111 [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>001011111 [[1,2,6],[3,7],[4,8],[5,9],[10]]=>011101111 [[1,3,6],[2,4,7],[5,8],[9],[10]]=>101101111 [[1,2,3,6],[4,7],[5,8],[9],[10]]=>001101111 [[1,2,4,6],[3,5,7],[8],[9],[10]]=>010101111 [[1,2,3,4,6],[5,7],[8],[9],[10]]=>000101111 [[1,3,7],[2,4,8],[5,9],[6,10]]=>101110111 [[1,2,3,7],[4,8],[5,9],[6,10]]=>001110111 [[1,4,7],[2,5,8],[3,6,9],[10]]=>110110111 [[1,2,4,7],[3,5,8],[6,9],[10]]=>010110111 [[1,2,3,4,7],[5,8],[6,9],[10]]=>000110111 [[1,3,5,7],[2,4,6,8],[9],[10]]=>101010111 [[1,2,3,5,7],[4,6,8],[9],[10]]=>001010111 [[1,2,3,4,5,7],[6,8],[9],[10]]=>000010111 [[1,2,5,8],[3,6,9],[4,7,10]]=>011011011 [[1,3,5,8],[2,4,6,9],[7,10]]=>101011011 [[1,2,3,5,8],[4,6,9],[7,10]]=>001011011 [[1,2,3,4,5,8],[6,9],[7,10]]=>000011011 [[1,2,4,6,8],[3,5,7,9],[10]]=>010101011 [[1,2,3,4,6,8],[5,7,9],[10]]=>000101011 [[1,2,3,4,5,6,8],[7,9],[10]]=>000001011 [[1,2,3,5,7,9],[4,6,8,10]]=>001010101 [[1,2,3,4,5,7,9],[6,8,10]]=>000010101 [[1,2,3,4,5,6,7,9],[8,10]]=>000000101 [[1,2],[3,4],[5,6],[7,9],[8,10]]=>010101101 [[1,2],[3,4],[5,7],[6,8],[9,10]]=>010110110 [[1,2],[3,4],[5,7],[6,9],[8,10]]=>010110101 [[1,2],[3,4],[5,8],[6,9],[7,10]]=>010111011 [[1,2],[3,5],[4,6],[7,8],[9,10]]=>011011010 [[1,2],[3,5],[4,6],[7,9],[8,10]]=>011011101 [[1,2],[3,5],[4,7],[6,8],[9,10]]=>011010110 [[1,2],[3,5],[4,7],[6,9],[8,10]]=>011010101 [[1,2],[3,5],[4,8],[6,9],[7,10]]=>011011011 [[1,2],[3,6],[4,7],[5,8],[9,10]]=>011101110 [[1,2],[3,6],[4,7],[5,9],[8,10]]=>011101101 [[1,2],[3,6],[4,8],[5,9],[7,10]]=>011101011 [[1,2],[3,7],[4,8],[5,9],[6,10]]=>011110111 [[1,3],[2,4],[5,6],[7,8],[9,10]]=>101101010 [[1,3],[2,4],[5,6],[7,9],[8,10]]=>101101101 [[1,3],[2,4],[5,7],[6,8],[9,10]]=>101110110 [[1,3],[2,4],[5,7],[6,9],[8,10]]=>101110101 [[1,3],[2,4],[5,8],[6,9],[7,10]]=>101111011 [[1,3],[2,5],[4,6],[7,8],[9,10]]=>101011010 [[1,3],[2,5],[4,6],[7,9],[8,10]]=>101011101 [[1,3],[2,5],[4,7],[6,8],[9,10]]=>101010110 [[1,3],[2,5],[4,7],[6,9],[8,10]]=>101010101 [[1,3],[2,5],[4,8],[6,9],[7,10]]=>101011011 [[1,3],[2,6],[4,7],[5,8],[9,10]]=>101101110 [[1,3],[2,6],[4,7],[5,9],[8,10]]=>101101101 [[1,3],[2,6],[4,8],[5,9],[7,10]]=>101101011 [[1,3],[2,7],[4,8],[5,9],[6,10]]=>101110111 [[1,4],[2,5],[3,6],[7,8],[9,10]]=>110111010 [[1,4],[2,5],[3,6],[7,9],[8,10]]=>110111101 [[1,4],[2,5],[3,7],[6,8],[9,10]]=>110110110 [[1,4],[2,5],[3,7],[6,9],[8,10]]=>110110101 [[1,4],[2,5],[3,8],[6,9],[7,10]]=>110111011 [[1,4],[2,6],[3,7],[5,8],[9,10]]=>110101110 [[1,4],[2,6],[3,7],[5,9],[8,10]]=>110101101 [[1,4],[2,6],[3,8],[5,9],[7,10]]=>110101011 [[1,4],[2,7],[3,8],[5,9],[6,10]]=>110110111 [[1,5],[2,6],[3,7],[4,8],[9,10]]=>111011110 [[1,5],[2,6],[3,7],[4,9],[8,10]]=>111011101 [[1,5],[2,6],[3,8],[4,9],[7,10]]=>111011011 [[1,5],[2,7],[3,8],[4,9],[6,10]]=>111010111 [[1,2,3,4,5,6,7,8,10],[9]]=>000000010 [[1,2,3,4,5,6,7,10],[8,9]]=>000000100 [[1,2,3,4,5,6,7,10],[8],[9]]=>000000110 [[1,2,3,4,5,6,10],[7,8,9]]=>000001000 [[1,2,3,4,5,6,10],[7,8],[9]]=>000001010 [[1,2,3,4,5,6,10],[7],[8],[9]]=>000001110 [[1,2,3,4,5,10],[6,7,8,9]]=>000010000 [[1,2,3,4,5,10],[6,7,8],[9]]=>000010010 [[1,2,3,4,5,10],[6,7],[8,9]]=>000010100 [[1,2,3,4,5,10],[6,7],[8],[9]]=>000010110 [[1,2,3,4,5,10],[6],[7],[8],[9]]=>000011110 [[1,2,3,4,10],[5,6,7,8],[9]]=>000100010 [[1,2,3,4,10],[5,6,7],[8,9]]=>000100100 [[1,2,3,4,10],[5,6,7],[8],[9]]=>000100110 [[1,2,3,4,10],[5,6],[7,8],[9]]=>000101010 [[1,2,3,4,10],[5,6],[7],[8],[9]]=>000101110 [[1,2,3,4,10],[5],[6],[7],[8],[9]]=>000111110 [[1,2,3,7],[4,5,6,10],[8,9]]=>001000100 [[1,2,3,7],[4,5,6,10],[8],[9]]=>001000110 [[1,2,3,10],[4,5,6],[7,8],[9]]=>001001010 [[1,2,3,10],[4,5,6],[7],[8],[9]]=>001001110 [[1,2,3,10],[4,5],[6,7],[8,9]]=>001010100 [[1,2,3,10],[4,5],[6,7],[8],[9]]=>001010110 [[1,2,3,10],[4,5],[6],[7],[8],[9]]=>001011110 [[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>001111110 [[1,2,5],[3,4,8],[6,7,10],[9]]=>010010010 [[1,2,5],[3,4,10],[6,7],[8,9]]=>010010100 [[1,2,5],[3,4,10],[6,7],[8],[9]]=>010010110 [[1,2,5],[3,4,10],[6],[7],[8],[9]]=>010011110 [[1,2,10],[3,4],[5,6],[7,8],[9]]=>010101010 [[1,2,10],[3,4],[5,6],[7],[8],[9]]=>010101110 [[1,2,10],[3,4],[5],[6],[7],[8],[9]]=>010111110 [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>011111110 [[1,3],[2,5],[4,7],[6,10],[8],[9]]=>101010110 [[1,3],[2,5],[4,10],[6],[7],[8],[9]]=>101011110 [[1,3],[2,10],[4],[5],[6],[7],[8],[9]]=>101111110 [[1,2,4,5,6,7,8,9,10],[3]]=>010000000 [[1,3,4,6,7,8,9,10],[2,5]]=>100100000 [[1,3,5,6,7,8,9,10],[2],[4]]=>101000000 [[1,3,5,6,8,9,10],[2,4,7]]=>101001000 [[1,2,4,7,8,9,10],[3,5],[6]]=>010110000 [[1,4,6,7,8,9,10],[2],[3],[5]]=>110100000 [[1,3,5,7,8,10],[2,4,6,9]]=>101010010 [[1,2,5,7,9,10],[3,6,8],[4]]=>011010100 [[1,4,6,8,9,10],[2,5],[3,7]]=>110101000 [[1,3,5,8,9,10],[2,6],[4],[7]]=>101011000 [[1,5,7,8,9,10],[2],[3],[4],[6]]=>111010000 [[1,2,5,6,9],[3,7,8,10],[4]]=>011001001 [[1,3,4,7,10],[2,6,8],[5,9]]=>100100110 [[1,3,6,8,10],[2,7,9],[4],[5]]=>101101010 [[1,2,6,9,10],[3,4],[5,7],[8]]=>010101100 [[1,4,6,9,10],[2,7],[3],[5],[8]]=>110101100 [[1,6,8,9,10],[2],[3],[4],[5],[7]]=>111101000 [[1,3,4,8],[2,6,9,10],[5,7]]=>100101010 [[1,3,6,7],[2,8,9,10],[4],[5]]=>101100100 [[1,4,7,9],[2,5,8],[3,6,10]]=>110110101 [[1,4,7,9],[2,8,10],[3],[5],[6]]=>110110101 [[1,5,8,10],[2,6],[3,7],[4,9]]=>111011010 [[1,3,7,10],[2,5],[4,8],[6],[9]]=>101010110 [[1,5,7,10],[2,8],[3],[4],[6],[9]]=>111010110 [[1,7,9,10],[2],[3],[4],[5],[6],[8]]=>111110100 [[1,2,5],[3,7,8],[4,9,10],[6]]=>011010010 [[1,4,6],[2,5,9],[3,8],[7,10]]=>110101001 [[1,3,5],[2,6,8],[4,9],[7],[10]]=>101011011 [[1,5,8],[2,9,10],[3],[4],[6],[7]]=>111011010 [[1,2,8],[3,4],[5,6],[7,9],[10]]=>010101011 [[1,4,8],[2,6],[3,9],[5],[7],[10]]=>110101011 [[1,6,8],[2,9],[3],[4],[5],[7],[10]]=>111101011 [[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>111111010 [[1,3],[2,5],[4,7],[6,9],[8],[10]]=>101010101 [[1,5],[2,7],[3,9],[4],[6],[8],[10]]=>111010101 [[1,7],[2,9],[3],[4],[5],[6],[8],[10]]=>111110101 [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>111111101 [[1,3,4,5,6,7,8,9],[2,10]]=>100000001 [[1,3,4,5,6,7,8,9],[2],[10]]=>100000001 [[1,3,4,5,6,7,8],[2,9,10]]=>100000010 [[1,3,4,5,6,7,8],[2,10],[9]]=>100000010 [[1,3,4,5,6,7,8],[2],[9],[10]]=>100000011 [[1,3,4,5,6,7],[2,8,9,10]]=>100000100 [[1,3,4,5,6,7],[2,9,10],[8]]=>100000100 [[1,3,4,5,6,7],[2,9],[8,10]]=>100000101 [[1,3,4,5,6,7],[2,9],[8],[10]]=>100000101 [[1,3,4,5,6,7],[2],[8],[9],[10]]=>100000111 [[1,3,4,5,6],[2,8,9,10],[7]]=>100001000 [[1,3,4,5,6],[2,8,9],[7,10]]=>100001001 [[1,3,4,5,6],[2,8,9],[7],[10]]=>100001001 [[1,3,4,5,6],[2,8],[7,10],[9]]=>100001010 [[1,3,4,5,6],[2,8],[7],[9],[10]]=>100001011 [[1,3,4,5,6],[2],[7],[8],[9],[10]]=>100001111 [[1,3,4,5],[2,7,8,9],[6,10]]=>100010001 [[1,3,4,5],[2,7,8,9],[6],[10]]=>100010001 [[1,3,4,5],[2,7,8],[6,9,10]]=>100010010 [[1,3,4,5],[2,7,8],[6,10],[9]]=>100010010 [[1,3,4,5],[2,7,8],[6],[9],[10]]=>100010011 [[1,3,4,5],[2,7],[6,9],[8,10]]=>100010101 [[1,3,4,5],[2,7],[6,9],[8],[10]]=>100010101 [[1,3,4,5],[2,7],[6],[8],[9],[10]]=>100010111 [[1,3,4,5],[2],[6],[7],[8],[9],[10]]=>100011111 [[1,3,4],[2,6,7],[5,9],[8,10]]=>100100101 [[1,3,4],[2,6,7],[5,9],[8],[10]]=>100100101 [[1,3,4],[2,6,7],[5],[8],[9],[10]]=>100100111 [[1,3,4],[2,6],[5,8],[7,10],[9]]=>100101010 [[1,3,4],[2,6],[5,8],[7],[9],[10]]=>100101011 [[1,3,4],[2,6],[5],[7],[8],[9],[10]]=>100101111 [[1,3,4],[2],[5],[6],[7],[8],[9],[10]]=>100111111 [[1,3],[2,5],[4,7],[6],[8],[9],[10]]=>101010111 [[1,3],[2,5],[4],[6],[7],[8],[9],[10]]=>101011111 [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>101111111 [[1,2,4,6,8,10],[3,5,7,9]]=>010101010 [[1,2,4,6,8,9,10],[3,5,7]]=>010101000 [[1,2,4,6,7,8,10],[3,5,9]]=>010100010 [[1,2,4,6,7,9,10],[3,5,8]]=>010100100 [[1,2,4,6,7,8,9,10],[3,5]]=>010100000 [[1,2,4,5,6,8,10],[3,7,9]]=>010001010 [[1,2,4,5,6,9,10],[3,7,8]]=>010001000 [[1,2,4,5,7,8,10],[3,6,9]]=>010010010 [[1,2,4,5,7,9,10],[3,6,8]]=>010010100 [[1,2,4,5,7,8,9,10],[3,6]]=>010010000 [[1,2,4,5,6,7,8,10],[3,9]]=>010000010 [[1,2,4,5,6,7,9,10],[3,8]]=>010000100 [[1,2,4,5,6,8,9,10],[3,7]]=>010001000 [[1,2,3,4,6,8,10],[5,7,9]]=>000101010 [[1,2,3,4,6,9,10],[5,7,8]]=>000101000 [[1,2,3,4,7,8,10],[5,6,9]]=>000100010 [[1,2,3,4,7,9,10],[5,6,8]]=>000100100 [[1,2,3,4,7,8,9,10],[5,6]]=>000100000 [[1,2,3,5,6,8,10],[4,7,9]]=>001001010 [[1,2,3,5,6,9,10],[4,7,8]]=>001001000 [[1,2,3,5,7,8,10],[4,6,9]]=>001010010 [[1,2,3,5,7,9,10],[4,6,8]]=>001010100 [[1,2,3,5,7,8,9,10],[4,6]]=>001010000 [[1,2,3,5,6,7,8,10],[4,9]]=>001000010 [[1,2,3,5,6,7,9,10],[4,8]]=>001000100 [[1,2,3,5,6,8,9,10],[4,7]]=>001001000 [[1,2,3,5,6,7,8,9,10],[4]]=>001000000 [[1,2,3,4,5,6,8,10],[7,9]]=>000001010 [[1,2,3,4,5,6,9,10],[7,8]]=>000001000 [[1,2,3,4,5,7,8,10],[6,9]]=>000010010 [[1,2,3,4,5,7,9,10],[6,8]]=>000010100 [[1,2,3,4,5,8,9,10],[6,7]]=>000010000 [[1,2,3,4,6,7,8,10],[5,9]]=>000100010 [[1,2,3,4,6,7,9,10],[5,8]]=>000100100 [[1,2,3,4,6,8,9,10],[5,7]]=>000101000 [[1,2,3,4,6,7,8,9,10],[5]]=>000100000 [[1,2,3,4,5,6,7,9,10],[8]]=>000000100 [[1,2,3,4,5,6,8,9,10],[7]]=>000001000 [[1,2,3,4,5,7,8,9,10],[6]]=>000010000 [[1,2,5,6,7,8,9],[3,4,10]]=>010000001 [[1,2,5,6,7,8,9],[3,4],[10]]=>010000001 [[1,4,5,6,7,8,9],[2],[3],[10]]=>110000001 [[1,2,3,7,8,9],[4,5,6,10]]=>001000001 [[1,2,3,7,8,9],[4,5,6],[10]]=>001000001 [[1,3,6,7,8,9],[2,5],[4,10]]=>101000001 [[1,3,6,7,8,9],[2,5],[4],[10]]=>101000001 [[1,5,6,7,8,9],[2],[3],[4],[10]]=>111000001 [[1,2,3,4,9],[5,6,7,8],[10]]=>000100001 [[1,3,4,8,9],[2,6,7],[5,10]]=>100100001 [[1,3,4,8,9],[2,6,7],[5],[10]]=>100100001 [[1,2,7,8,9],[3,4],[5,6],[10]]=>010100001 [[1,4,7,8,9],[2,6],[3],[5],[10]]=>110100001 [[1,6,7,8,9],[2],[3],[4],[5],[10]]=>111100001 [[1,2,5,9],[3,4,8],[6,7,10]]=>010010001 [[1,2,5,9],[3,4,8],[6,7],[10]]=>010010001 [[1,4,5,9],[2,7,8],[3],[6],[10]]=>110010001 [[1,3,8,9],[2,5],[4,7],[6,10]]=>101010001 [[1,3,8,9],[2,5],[4,7],[6],[10]]=>101010001 [[1,5,8,9],[2,7],[3],[4],[6],[10]]=>111010001 [[1,7,8,9],[2],[3],[4],[5],[6],[10]]=>111110001 [[1,3,6],[2,5,9],[4,8],[7,10]]=>101001001 [[1,3,6],[2,5,9],[4,8],[7],[10]]=>101001001 [[1,5,6],[2,8,9],[3],[4],[7],[10]]=>111001001 [[1,2,9],[3,4],[5,6],[7,8],[10]]=>010101001 [[1,4,9],[2,6],[3,8],[5],[7],[10]]=>110101001 [[1,6,9],[2,8],[3],[4],[5],[7],[10]]=>111101001 [[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>111111001 [[1,2,3,6,7,8,9,10],[4,5]]=>001000000 [[1,2,5,6,7,8,9,10],[3],[4]]=>011000000 [[1,2,3,4,8,9,10],[5,6,7]]=>000100000 [[1,2,4,7,8,9,10],[3,6],[5]]=>010100000 [[1,2,6,7,8,9,10],[3],[4],[5]]=>011100000 [[1,2,4,5,9,10],[3,7,8],[6]]=>010010000 [[1,2,3,8,9,10],[4,5],[6,7]]=>001010000 [[1,2,5,8,9,10],[3,7],[4],[6]]=>011010000 [[1,2,7,8,9,10],[3],[4],[5],[6]]=>011110000 [[1,2,4,5,6],[3,8,9,10],[7]]=>010001000 [[1,2,3,6,10],[4,5,9],[7,8]]=>001001000 [[1,2,5,6,10],[3,8,9],[4],[7]]=>011001000 [[1,2,4,9,10],[3,6],[5,8],[7]]=>010101000 [[1,2,6,9,10],[3,8],[4],[5],[7]]=>011101000 [[1,2,8,9,10],[3],[4],[5],[6],[7]]=>011111000 [[1,2,6,7],[3,5,9,10],[4],[8]]=>011000100 [[1,2,4,7],[3,6,10],[5,9],[8]]=>010100100 [[1,2,6,7],[3,9,10],[4],[5],[8]]=>011100100 [[1,2,5,10],[3,7],[4,9],[6],[8]]=>011010100 [[1,2,7,10],[3,9],[4],[5],[6],[8]]=>011110100 [[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>011111100 [[1,2,3],[4,5,8],[6,7],[9,10]]=>001010010 [[1,2,5],[3,7,8],[4,10],[6],[9]]=>011010010 [[1,2,8],[3,7,10],[4],[5],[6],[9]]=>011110010 [[1,2,4],[3,6],[5,8],[7,10],[9]]=>010101010 [[1,2,6],[3,8],[4,10],[5],[7],[9]]=>011101010 [[1,2,8],[3,10],[4],[5],[6],[7],[9]]=>011111010 [[1,2],[3,5],[4,7],[6,9],[8],[10]]=>011010101 [[1,2],[3,7],[4,9],[5],[6],[8],[10]]=>011110101 [[1,2],[3,9],[4],[5],[6],[7],[8],[10]]=>011111101 [[1,2,4,5,8,9,10],[3,7],[6]]=>010010000 [[1,2,4,5,6,7],[3,9,10],[8]]=>010000100 [[1,2,3,4,9,10],[5,6],[7,8]]=>000101000 [[1,2,5,6,9,10],[3,8],[4],[7]]=>011001000 [[1,2,4,5,6,7,8,9],[3],[10]]=>010000001 [[1,2,3,4,7,8],[5,6],[9,10]]=>000100010 [[1,2,5,6,7,8],[3,10],[4],[9]]=>011000010 [[1,2,4,5,10],[3,7],[6,9],[8]]=>010010100 [[1,2,6,7,10],[3,9],[4],[5],[8]]=>011100100 [[1,2,4,5,8,9],[3,7],[6],[10]]=>010010001 [[1,2,6,7,8,9],[3],[4],[5],[10]]=>011100001 [[1,2,5,6],[3,8],[4,10],[7],[9]]=>011001010 [[1,2,7,8],[3,10],[4],[5],[6],[9]]=>011110010 [[1,2,4,5],[3,7],[6,9],[8],[10]]=>010010101 [[1,2,6,7],[3,9],[4],[5],[8],[10]]=>011100101 [[1,2,8,9],[3],[4],[5],[6],[7],[10]]=>011111001 [[1,3],[2,5],[4,9],[6],[7],[8],[10]]=>101011101 [[1,3],[2,5],[4,8],[6],[7],[9],[10]]=>101011011 [[1,3],[2,7],[4,9],[5],[6],[8],[10]]=>101110101 [[1,3],[2,7],[4,8],[5],[6],[9],[10]]=>101110111 [[1,3],[2,6],[4,9],[5],[7],[8],[10]]=>101101101 [[1,3],[2,6],[4,8],[5],[7],[9],[10]]=>101101011 [[1,3],[2,6],[4],[5],[7],[8],[9],[10]]=>101101111 [[1,3],[2,9],[4],[5],[6],[7],[8],[10]]=>101111101 [[1,3],[2,8],[4],[5],[6],[7],[9],[10]]=>101111011 [[1,3],[2,7],[4],[5],[6],[8],[9],[10]]=>101110111 [[1,5],[2,7],[3,8],[4],[6],[9],[10]]=>111010111 [[1,5],[2,6],[3,9],[4],[7],[8],[10]]=>111011101 [[1,5],[2,6],[3,8],[4],[7],[9],[10]]=>111011011 [[1,5],[2,6],[3],[4],[7],[8],[9],[10]]=>111011111 [[1,4],[2,7],[3,9],[5],[6],[8],[10]]=>110110101 [[1,4],[2,7],[3,8],[5],[6],[9],[10]]=>110110111 [[1,4],[2,6],[3,9],[5],[7],[8],[10]]=>110101101 [[1,4],[2,6],[3,8],[5],[7],[9],[10]]=>110101011 [[1,4],[2,6],[3],[5],[7],[8],[9],[10]]=>110101111 [[1,4],[2,9],[3],[5],[6],[7],[8],[10]]=>110111101 [[1,4],[2,8],[3],[5],[6],[7],[9],[10]]=>110111011 [[1,4],[2,7],[3],[5],[6],[8],[9],[10]]=>110110111 [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>110111111 [[1,7],[2,8],[3],[4],[5],[6],[9],[10]]=>111110111 [[1,6],[2,9],[3],[4],[5],[7],[8],[10]]=>111101101 [[1,6],[2,8],[3],[4],[5],[7],[9],[10]]=>111101011 [[1,6],[2,7],[3],[4],[5],[8],[9],[10]]=>111101111 [[1,5],[2,9],[3],[4],[6],[7],[8],[10]]=>111011101 [[1,5],[2,8],[3],[4],[6],[7],[9],[10]]=>111011011 [[1,5],[2,7],[3],[4],[6],[8],[9],[10]]=>111010111 [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>111011111 [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>111111011 [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>111110111 [[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>111101111 [[1,2],[3,5],[4],[6],[7],[8],[9],[10]]=>011011111 [[1,2,4],[3],[5],[6],[7],[8],[9],[10]]=>010111111 [[1,2],[3,4],[5,7],[6],[8],[9],[10]]=>010110111 [[1,3,6],[2,5],[4],[7],[8],[9],[10]]=>101001111 [[1,2,3,5],[4],[6],[7],[8],[9],[10]]=>001011111 [[1,2],[3,4],[5,6],[7,9],[8],[10]]=>010101101 [[1,2,3],[4,5,7],[6],[8],[9],[10]]=>001010111 [[1,2,4,7],[3,6],[5],[8],[9],[10]]=>010100111 [[1,2,3,4,6],[5],[7],[8],[9],[10]]=>000101111 [[1,3,4],[2,7],[5,8],[6,10],[9]]=>100110110 [[1,2,5],[3,6,9],[4,8],[7],[10]]=>011011001 [[1,3,5,8],[2,4,7],[6],[9],[10]]=>101010011 [[1,2,3,5,8],[4,7],[6],[9],[10]]=>001010011 [[1,2,3,4,5,7],[6],[8],[9],[10]]=>000010111 [[1,2,5],[3,6,7],[4,9],[8,10]]=>011010101 [[1,2,4,5],[3,8],[6,9],[7,10]]=>010011011 [[1,2,3],[4,5,6],[7,8,10],[9]]=>001001010 [[1,2,3,5,6],[4,8],[7,10],[9]]=>001001010 [[1,2,3,4],[5,6,7,9],[8],[10]]=>000100101 [[1,2,4,6,9],[3,5,8],[7],[10]]=>010101001 [[1,2,3,4,6,9],[5,8],[7],[10]]=>000101001 [[1,2,3,4,5,6,8],[7],[9],[10]]=>000001011 [[1,3,4,6],[2,7,9],[5,8,10]]=>100101101 [[1,2,3,7],[4,5,8,10],[6,9]]=>001010110 [[1,2,4,7,10],[3,6,9],[5,8]]=>010100100 [[1,2,3,4,6,7],[5,9],[8,10]]=>000100101 [[1,3,5,7,10],[2,4,6,9],[8]]=>101010100 [[1,2,3,5,7,10],[4,6,9],[8]]=>001010100 [[1,2,3,4,5,7,10],[6,9],[8]]=>000010100 [[1,2,3,4,5,6,7,9],[8],[10]]=>000000101 [[1,2,9],[3,10],[4],[5],[6],[7],[8]]=>011111101 [[1,2,8],[3,9],[4,10],[5],[6],[7]]=>011111011 [[1,2,8,10],[3,9],[4],[5],[6],[7]]=>011111010 [[1,2,7],[3,8],[4,9],[5,10],[6]]=>011110111 [[1,2,7,10],[3,8],[4,9],[5],[6]]=>011110110 [[1,2,7,9],[3,8,10],[4],[5],[6]]=>011110101 [[1,2,7,9,10],[3,8],[4],[5],[6]]=>011110100 [[1,2,6,10],[3,7],[4,8],[5,9]]=>011101110 [[1,2,6,9],[3,7,10],[4,8],[5]]=>011101101 [[1,2,6,9,10],[3,7],[4,8],[5]]=>011101100 [[1,2,6,8,10],[3,7,9],[4],[5]]=>011101010 [[1,2,6,8,9,10],[3,7],[4],[5]]=>011101000 [[1,2,5,8,10],[3,6,9],[4,7]]=>011011010 [[1,2,5,8,9,10],[3,6],[4,7]]=>011011000 [[1,2,5,7,9],[3,6,8,10],[4]]=>011010101 [[1,2,5,7,8,9,10],[3,6],[4]]=>011010000 [[1,2,3,4],[5,6],[7,9],[8,10]]=>000101101 [[1,2,3,4],[5,7],[6,8],[9,10]]=>000110110 [[1,2,3,4],[5,7],[6,9],[8,10]]=>000110101 [[1,2,3,4],[5,8],[6,9],[7,10]]=>000111011 [[1,2,3,5],[4,6],[7,8],[9,10]]=>001011010 [[1,2,3,5],[4,6],[7,9],[8,10]]=>001011101 [[1,2,3,5],[4,7],[6,8],[9,10]]=>001010110 [[1,2,3,5],[4,7],[6,9],[8,10]]=>001010101 [[1,2,3,5],[4,8],[6,9],[7,10]]=>001011011 [[1,2,3,6],[4,7],[5,8],[9,10]]=>001101110 [[1,2,3,6],[4,7],[5,9],[8,10]]=>001101101 [[1,2,3,6],[4,8],[5,9],[7,10]]=>001101011 [[1,2,4,6],[3,5],[7,8],[9,10]]=>010101010 [[1,2,4,6],[3,5],[7,9],[8,10]]=>010101101 [[1,2,4,7],[3,5],[6,8],[9,10]]=>010110110 [[1,2,4,7],[3,5],[6,9],[8,10]]=>010110101 [[1,2,4,8],[3,5],[6,9],[7,10]]=>010111011 [[1,2,4,5],[3,6],[7,8],[9,10]]=>010011010 [[1,2,4,5],[3,6],[7,9],[8,10]]=>010011101 [[1,2,4,5],[3,7],[6,8],[9,10]]=>010010110 [[1,2,4,5],[3,7],[6,9],[8,10]]=>010010101 [[1,2,4,6],[3,7],[5,8],[9,10]]=>010101110 [[1,2,4,6],[3,7],[5,9],[8,10]]=>010101101 [[1,2,4,6],[3,8],[5,9],[7,10]]=>010101011 [[1,2,4,7],[3,8],[5,9],[6,10]]=>010110111 [[1,2,5,8],[3,6],[4,7],[9,10]]=>011011010 [[1,2,5,9],[3,6],[4,7],[8,10]]=>011011101 [[1,2,5,7],[3,6],[4,8],[9,10]]=>011010110 [[1,2,5,7],[3,6],[4,9],[8,10]]=>011010101 [[1,2,5,8],[3,6],[4,9],[7,10]]=>011011011 [[1,2,5,6],[3,7],[4,8],[9,10]]=>011001110 [[1,2,5,6],[3,7],[4,9],[8,10]]=>011001101 [[1,2,5,6],[3,8],[4,9],[7,10]]=>011001011 [[1,2,5,7],[3,8],[4,9],[6,10]]=>011010111 [[1,2,6,9],[3,7],[4,8],[5,10]]=>011101101 [[1,2,6,8],[3,7],[4,9],[5,10]]=>011101011 [[1,2,6,7],[3,8],[4,9],[5,10]]=>011100111 [[1,7],[2,8],[3,9],[4],[5],[6],[10]]=>111110111 [[1,3,6],[2,7],[4],[5],[8],[9],[10]]=>101101111 [[1,3,8],[2,9],[4,10],[5],[6],[7]]=>101111011 [[1,5,7],[2,6,8],[3],[4],[9],[10]]=>111010111 [[1,3,4,7],[2,8],[5],[6],[9],[10]]=>100110111 [[1,3,10],[2],[4],[5],[6],[7],[8],[9]]=>101111110 [[1,5,9],[2,6,10],[3],[4],[7],[8]]=>111011101 [[1,3,4,9],[2,10],[5],[6],[7],[8]]=>100111101 [[1,3,6,8],[2,7,9],[4],[5],[10]]=>101101011 [[1,3,4,5,8],[2,9],[6],[7],[10]]=>100011011 [[1,3,6,10],[2,7],[4],[5],[8],[9]]=>101101110 [[1,3,4,5,10],[2],[6],[7],[8],[9]]=>100011110 [[1,3,4,7,9],[2,8,10],[5],[6]]=>100110101 [[1,3,4,5,6,9],[2,10],[7],[8]]=>100001101 [[1,3,4,5,8,10],[2,9],[6],[7]]=>100011010 [[1,3,4,5,6,7,10],[2],[8],[9]]=>100000110 [[1,7],[2,9],[3,10],[4],[5],[6],[8]]=>111110101 [[1,7,9],[2,10],[3],[4],[5],[6],[8]]=>111110101 [[1,6],[2,8],[3,9],[4,10],[5],[7]]=>111101011 [[1,6,9],[2,8],[3,10],[4],[5],[7]]=>111101001 [[1,6,8],[2,9,10],[3],[4],[5],[7]]=>111101010 [[1,6,8,10],[2,9],[3],[4],[5],[7]]=>111101010 [[1,5,9],[2,7],[3,8],[4,10],[6]]=>111010101 [[1,5,8],[2,7,10],[3,9],[4],[6]]=>111010010 [[1,5,8,10],[2,7],[3,9],[4],[6]]=>111010010 [[1,5,7,9],[2,8,10],[3],[4],[6]]=>111010101 [[1,5,7,9,10],[2,8],[3],[4],[6]]=>111010100 [[1,4,8],[2,6,10],[3,7],[5,9]]=>110101010 [[1,4,8,10],[2,6],[3,7],[5,9]]=>110101010 [[1,4,7],[2,6,9],[3,8,10],[5]]=>110100101 [[1,4,7,9],[2,6,10],[3,8],[5]]=>110100101 [[1,4,7,9,10],[2,6],[3,8],[5]]=>110100100 [[1,4,6,8],[2,7,9,10],[3],[5]]=>110101010 [[1,4,6,8,10],[2,7,9],[3],[5]]=>110101010 [[1,4,6,8,9,10],[2,7],[3],[5]]=>110101000 [[1,3,6,9],[2,5,8],[4,7,10]]=>101001001 [[1,3,6,8],[2,5,9,10],[4,7]]=>101001010 [[1,3,6,8,10],[2,5,9],[4,7]]=>101001010 [[1,3,6,8,9,10],[2,5],[4,7]]=>101001000 [[1,3,5,7,9],[2,6,8,10],[4]]=>101010101 [[1,3,5,7,9,10],[2,6,8],[4]]=>101010100 [[1,3,5,7,8,9,10],[2,6],[4]]=>101010000 [[1,8],[2,9],[3],[4],[5],[6],[7],[10]]=>111111011 [[1,7,9],[2,8],[3],[4],[5],[6],[10]]=>111110101 [[1,6],[2,7],[3,8],[4,9],[5],[10]]=>111101111 [[1,6,9],[2,7],[3,8],[4],[5],[10]]=>111101101 [[1,6,8],[2,7,9],[3],[4],[5],[10]]=>111101011 [[1,6,8,9],[2,7],[3],[4],[5],[10]]=>111101001 [[1,5,9],[2,6],[3,7],[4,8],[10]]=>111011101 [[1,5,8],[2,6,9],[3,7],[4],[10]]=>111011011 [[1,5,8,9],[2,6],[3,7],[4],[10]]=>111011001 [[1,5,7,9],[2,6,8],[3],[4],[10]]=>111010101 [[1,5,7,8,9],[2,6],[3],[4],[10]]=>111010001 [[1,4,8],[2,5,9],[3,6],[7,10]]=>110111011 [[1,4,8,9],[2,5],[3,6],[7,10]]=>110111001 [[1,4,7,9],[2,5,8],[3,6],[10]]=>110110101 [[1,4,7,8,9],[2,5],[3,6],[10]]=>110110001 [[1,4,6,8],[2,5,7,9],[3],[10]]=>110101011 [[1,4,6,8,9],[2,5,7],[3],[10]]=>110101001 [[1,4,6,7,8,9],[2,5],[3],[10]]=>110100001 [[1,3,6,9],[2,4,7],[5,8,10]]=>101101101 [[1,3,6,8],[2,4,7,9],[5,10]]=>101101011 [[1,3,6,8,9],[2,4,7],[5,10]]=>101101001 [[1,3,6,7,8,9],[2,4],[5,10]]=>101100001 [[1,3,5,7,9],[2,4,6,8],[10]]=>101010101 [[1,3,5,7,8,9],[2,4,6],[10]]=>101010001 [[1,3,5,6,7,8,9],[2,4],[10]]=>101000001 [[1,2,4,6,8,9],[3,5,7,10]]=>010101001 [[1,2,4,6,7,8,9],[3,5,10]]=>010100001 [[1,2,4,5,6,7,8,9],[3,10]]=>010000001 [[1,2],[3,10],[4],[5],[6],[7],[8],[9]]=>011111110 [[1,2],[3,9],[4,10],[5],[6],[7],[8]]=>011111101 [[1,2],[3,8],[4,9],[5,10],[6],[7]]=>011111011 [[1,2,8],[3,9,10],[4],[5],[6],[7]]=>011111010 [[1,2,7],[3,8,10],[4,9],[5],[6]]=>011110110 [[1,2,6],[3,7,10],[4,8],[5,9]]=>011101110 [[1,2,6],[3,7,9],[4,8,10],[5]]=>011101101 [[1,2,6,8],[3,7,9,10],[4],[5]]=>011101010 [[1,2,5,8],[3,6,9,10],[4,7]]=>011011010 [[1,3],[2,9],[4,10],[5],[6],[7],[8]]=>101111101 [[1,2,3],[4,10],[5],[6],[7],[8],[9]]=>001111110 [[1,4],[2,8],[3,9],[5,10],[6],[7]]=>110111011 [[1,3,10],[2,4],[5,9],[6],[7],[8]]=>101111100 [[1,2,4],[3,9,10],[5],[6],[7],[8]]=>010111100 [[1,2,3,4],[5,10],[6],[7],[8],[9]]=>000111110 [[1,4,10],[2,5],[3,8],[6,9],[7]]=>110111010 [[1,2,5],[3,4,10],[6,9],[7],[8]]=>010011100 [[1,4,5,10],[2,8],[3,9],[6],[7]]=>110011010 [[1,2,3,5],[4,9,10],[6],[7],[8]]=>001011100 [[1,2,3,4,5],[6,10],[7],[8],[9]]=>000011110 [[1,2,9],[3,5,10],[4,6],[7,8]]=>011011001 [[1,5,6,10],[2,7],[3,8],[4,9]]=>111001110 [[1,3,6],[2,5,9],[4,8,10],[7]]=>101001001 [[1,2,3,10],[4,5,6],[7,9],[8]]=>001001100 [[1,4,5,6,10],[2,8],[3,9],[7]]=>110001010 [[1,2,4,6],[3,5,9,10],[7],[8]]=>010101100 [[1,2,3,4,6],[5,9,10],[7],[8]]=>000101100 [[1,2,3,4,5,6],[7,10],[8],[9]]=>000001110 [[1,3,6,10],[2,4,7],[5,8,9]]=>101101100 [[1,2,4,7],[3,5,6,10],[8,9]]=>010100100 [[1,4,5,6,7,10],[2,8],[3,9]]=>110000110 [[1,2,3,5,7],[4,6,9,10],[8]]=>001010100 [[1,2,3,4,5,7],[6,9,10],[8]]=>000010100 [[1,2,3,4,5,6,7],[8,10],[9]]=>000000110 [[1,2,3,4,6,8],[5,7,9,10]]=>000101010 [[1,2,3,4,5,6,8],[7,9,10]]=>000001010 [[1,3],[2,4],[5,10],[6],[7],[8],[9]]=>101111110 [[1,3,10],[2,4],[5],[6],[7],[8],[9]]=>101111110 [[1,4],[2,5],[3,6],[7,10],[8],[9]]=>110111110 [[1,4,10],[2,5],[3,6],[7],[8],[9]]=>110111110 [[1,2,4],[3,5,10],[6],[7],[8],[9]]=>010111110 [[1,2,4,10],[3,5],[6],[7],[8],[9]]=>010111110 [[1,5,10],[2,6],[3,7],[4,8],[9]]=>111011110 [[1,2,5],[3,6,10],[4,7],[8],[9]]=>011011110 [[1,2,5,10],[3,6],[4,7],[8],[9]]=>011011110 [[1,3,5,10],[2,4,6],[7],[8],[9]]=>101011110 [[1,2,3,5,10],[4,6],[7],[8],[9]]=>001011110 [[1,3,6],[2,4,7],[5,8,10],[9]]=>101101110 [[1,3,6,10],[2,4,7],[5,8],[9]]=>101101110 [[1,2,3,6,10],[4,7],[5,8],[9]]=>001101110 [[1,2,4,6],[3,5,7,10],[8],[9]]=>010101110 [[1,2,4,6,10],[3,5,7],[8],[9]]=>010101110 [[1,2,3,4,6,10],[5,7],[8],[9]]=>000101110 [[1,2,4,7],[3,5,8,10],[6,9]]=>010110110 [[1,2,4,7,10],[3,5,8],[6,9]]=>010110110 [[1,2,3,4,7,10],[5,8],[6,9]]=>000110110 [[1,3,5,7,10],[2,4,6,8],[9]]=>101010110 [[1,2,3,5,7,10],[4,6,8],[9]]=>001010110 [[1,2,3,4,5,7,10],[6,8],[9]]=>000010110 [[1,4],[2,5],[3],[6],[7],[8],[9],[10]]=>110111111 [[1,5],[2,6],[3,7],[4],[8],[9],[10]]=>111011111 [[1,3,5],[2,6],[4],[7],[8],[9],[10]]=>101011111 [[1,3,6],[2,7],[4,8],[5],[9],[10]]=>101101111 [[1,4,6],[2,5,7],[3],[8],[9],[10]]=>110101111 [[1,3,4,6],[2,7],[5],[8],[9],[10]]=>100101111 [[1,3,7],[2,8],[4,9],[5,10],[6]]=>101110111 [[1,4,7],[2,5,8],[3,9],[6],[10]]=>110110111 [[1,3,4,7],[2,8],[5,9],[6],[10]]=>100110111 [[1,3,5,7],[2,6,8],[4],[9],[10]]=>101010111 [[1,3,4,5,7],[2,8],[6],[9],[10]]=>100010111 [[1,3,4,8],[2,5],[6,9],[7,10]]=>100111011 [[1,3,5,8],[2,6,9],[4,10],[7]]=>101011011 [[1,3,4,5,8],[2,9],[6,10],[7]]=>100011011 [[1,3,4,6,8],[2,7,9],[5],[10]]=>100101011 [[1,3,4,5,6,8],[2,9],[7],[10]]=>100001011 [[1,4,6,9],[2,5,7,10],[3,8]]=>110101101 [[1,3,4,6,9],[2,7,10],[5,8]]=>100101101 [[1,3,4,5,6,9],[2,7],[8,10]]=>100001101 [[1,3,4,5,7,9],[2,8,10],[6]]=>100010101 [[1,3,4,5,6,7,9],[2,10],[8]]=>100000101 [[1,3,4,6,8,10],[2,5,7,9]]=>100101010 [[1,3,4,5,6,8,10],[2,7,9]]=>100001010 [[1,3,4,5,6,7,8,10],[2,9]]=>100000010 [[1,2,4,8],[3,5,9],[6,10],[7]]=>010111011 [[1,2,3,4,8],[5,9],[6,10],[7]]=>000111011 [[1,2,3,6,9],[4,7,10],[5,8]]=>001101101 [[1,2,4,6,9],[3,5,7,10],[8]]=>010101101 [[1,2,3,4,6,9],[5,7,10],[8]]=>000101101 [[1,2,3,4,5,6,9],[7,10],[8]]=>000001101 [[1,2,3,4,5,6,8],[7,10],[9]]=>000001010 [[1,2,3,4,5,7],[6,8,9,10]]=>000010100 [[1,2,3,4,5,7],[6,8,10],[9]]=>000010110 [[1,2,3,4,5,7],[6,9],[8,10]]=>000010101 [[1,2,3,4,5,7],[6,9],[8],[10]]=>000010101 [[1,2,3,4,6],[5,7,8,10],[9]]=>000101010 [[1,2,3,4,6],[5,7,9],[8,10]]=>000101101 [[1,2,3,4,6],[5,7,9],[8],[10]]=>000101101 [[1,2,3,4,6],[5,8],[7,10],[9]]=>000101010 [[1,2,3,4,6],[5,8],[7],[9],[10]]=>000101011 [[1,2,3,5],[4,6,7,9],[8,10]]=>001010101 [[1,2,3,5],[4,6,7,9],[8],[10]]=>001010101 [[1,2,3,5],[4,6,8],[7,9,10]]=>001011010 [[1,2,3,5],[4,6,8],[7,10],[9]]=>001011010 [[1,2,3,5],[4,6,8],[7],[9],[10]]=>001011011 [[1,2,3,5],[4,7],[6,9],[8],[10]]=>001010101 [[1,2,3,5],[4,7],[6],[8],[9],[10]]=>001010111 [[1,2,4],[3,5,7],[6,8,10],[9]]=>010110110 [[1,2,4],[3,5,7],[6,9],[8,10]]=>010110101 [[1,2,4],[3,5,7],[6,9],[8],[10]]=>010110101 [[1,2,4],[3,5,7],[6],[8],[9],[10]]=>010110111 [[1,2,4],[3,6],[5,8],[7],[9],[10]]=>010101011 [[1,2,4],[3,6],[5],[7],[8],[9],[10]]=>010101111 [[1,4,5],[2,7,8],[3,10],[6],[9]]=>110010010 [[1,2,4,5,6,7,8],[3,9,10]]=>010000010 [[1,3,8],[2,5],[4,7],[6,10],[9]]=>101010010 [[1,3,6,7],[2,5,10],[4,9],[8]]=>101000100 [[1,5,6,7],[2,9,10],[3],[4],[8]]=>111000100 [[1,5,8],[2,7],[3,10],[4],[6],[9]]=>111010010 [[1,7,8],[2,10],[3],[4],[5],[6],[9]]=>111110010 [[1,5,7,8],[2,6,9,10],[3],[4]]=>111010010 [[1,5,6,9],[2,7,8,10],[3],[4]]=>111001001 [[1,5,6,8],[2,7,9,10],[3],[4]]=>111001010 [[1,5,6,7],[2,8,9,10],[3],[4]]=>111000100 [[1,4,7,9],[2,6,8,10],[3],[5]]=>110100101 [[1,4,7,8],[2,6,9,10],[3],[5]]=>110100010 [[1,4,6,9],[2,7,8,10],[3],[5]]=>110101001 [[1,4,6,7],[2,8,9,10],[3],[5]]=>110100100 [[1,4,5,9],[2,7,8,10],[3],[6]]=>110010001 [[1,4,5,8],[2,7,9,10],[3],[6]]=>110010010 [[1,4,5,7],[2,8,9,10],[3],[6]]=>110010100 [[1,3,7,9],[2,5,8,10],[4],[6]]=>101010101 [[1,3,7,8],[2,5,9,10],[4],[6]]=>101010010 [[1,3,6,9],[2,5,8,10],[4],[7]]=>101001001 [[1,3,6,8],[2,5,9,10],[4],[7]]=>101001010 [[1,3,6,7],[2,5,9,10],[4],[8]]=>101000100 [[1,3,7,9],[2,6,8,10],[4],[5]]=>101100101 [[1,3,7,8],[2,6,9,10],[4],[5]]=>101100010 [[1,3,6,9],[2,7,8,10],[4],[5]]=>101101001 [[1,3,6,8],[2,7,9,10],[4],[5]]=>101101010 [[1,3,5,9],[2,7,8,10],[4],[6]]=>101010001 [[1,3,5,8],[2,7,9,10],[4],[6]]=>101010010 [[1,3,5,7],[2,8,9,10],[4],[6]]=>101010100 [[1,3,5,6],[2,8,9,10],[4],[7]]=>101001000 [[1,3,4,9],[2,6,7,10],[5],[8]]=>100100101 [[1,3,4,8],[2,6,7,10],[5],[9]]=>100100010 [[1,3,4,9],[2,6,8,10],[5],[7]]=>100101001 [[1,3,4,8],[2,6,9,10],[5],[7]]=>100101010 [[1,3,4,7],[2,6,9,10],[5],[8]]=>100100100 [[1,3,4,9],[2,7,8,10],[5],[6]]=>100110001 [[1,3,4,8],[2,7,9,10],[5],[6]]=>100110010 [[1,3,4,7],[2,8,9,10],[5],[6]]=>100110100 [[1,3,4,6],[2,8,9,10],[5],[7]]=>100101000 [[1,3,4,5],[2,7,8,10],[6],[9]]=>100010010 [[1,3,4,5],[2,7,9,10],[6],[8]]=>100010100 [[1,3,4,5],[2,8,9,10],[6],[7]]=>100011000 [[1,6,7,8,9],[2,10],[3],[4],[5]]=>111100001 [[1,2,3],[4,8,9],[5],[6],[7],[10]]=>001111001 [[1,4,5,6,7,8,9],[2,10],[3]]=>110000001 [[1,2,3,5,6,7],[4,8,9,10]]=>001000100 [[1,2,5,6,7,8],[3,4,9],[10]]=>010000011 [[1,3,5,6,7,8],[2,9],[4,10]]=>101000011 [[1,5,6,7,8,9],[2,10],[3],[4]]=>111000001 [[1,2,3,6,7],[4,5,8,9],[10]]=>001000101 [[1,3,6,7,8],[2,4,9],[5,10]]=>101100011 [[1,2,3,6,7],[4,8,9],[5],[10]]=>001100101 [[1,4,6,7,8],[2,9],[3,10],[5]]=>110100011 [[1,3,4,7],[2,5,6,8],[9,10]]=>100100110 [[1,2,3,4],[5,7,8,9],[6],[10]]=>000110001 [[1,2,4,7],[3,5,8],[6,9,10]]=>010110110 [[1,4,7,8],[2,5,9],[3,6],[10]]=>110110011 [[1,2,3,7],[4,8,9],[5],[6],[10]]=>001110101 [[1,3,7,8],[2,5],[4,9],[6,10]]=>101010011 [[1,5,7,8],[2,9],[3,10],[4],[6]]=>111010011 [[1,7,8,9],[2,10],[3],[4],[5],[6]]=>111110001 [[1,2,5],[3,4,8],[6,7,9],[10]]=>010010011 [[1,3,8],[2,5,9],[4,6],[7,10]]=>101011011 [[1,4,8],[2,6],[3,9],[5,10],[7]]=>110101011 [[1,6,8],[2,9],[3,10],[4],[5],[7]]=>111101011 [[1,8,9],[2,10],[3],[4],[5],[6],[7]]=>111111001 [[1,5],[2,7],[3,9],[4,10],[6],[8]]=>111010101 [[1,2,3,4,5],[6,7,8,9],[10,11]]=>0000100010 [[1,2,3,4,5],[6,7,8,9],[10],[11]]=>0000100011 [[1,2,3,4,5],[6,7,8],[9,10,11]]=>0000100100 [[1,2,3,4,5],[6,7,8],[9,10],[11]]=>0000100101 [[1,2,3,4,5],[6,7,8],[9],[10],[11]]=>0000100111 [[1,2,3,4,5],[6,7],[8,9],[10,11]]=>0000101010 [[1,2,3,4,5],[6,7],[8,9],[10],[11]]=>0000101011 [[1,2,3,4],[5,6,7,8],[9,10,11]]=>0001000100 [[1,2,3,4],[5,6,7,8],[9,10],[11]]=>0001000101 [[1,2,3,4],[5,6,7,8],[9],[10],[11]]=>0001000111 [[1,2,3,4],[5,6,7],[8,9,10],[11]]=>0001001001 [[1,2,3,4],[5,6,7],[8,9],[10,11]]=>0001001010 [[1,2,3,4],[5,6,7],[8,9],[10],[11]]=>0001001011 [[1,2,3,4],[5,6],[7,8],[9,10],[11]]=>0001010101 [[1,2,3],[4,5,6],[7,8,9],[10,11]]=>0010010010 [[1,2,3],[4,5,6],[7,8,9],[10],[11]]=>0010010011 [[1,2,3],[4,5,6],[7,8],[9,10],[11]]=>0010010101 [[1,2,5,6,11],[3,4,9,10],[7,8]]=>0100010000 [[1,4,5,6,11],[2,8,9,10],[3],[7]]=>1100010000 [[1,2,3,10,11],[4,5,6],[7,8,9]]=>0010010000 [[1,3,6,10,11],[2,5,9],[4,8],[7]]=>1010010000 [[1,5,6,10,11],[2,8,9],[3],[4],[7]]=>1110010000 [[1,2,9,10,11],[3,4],[5,6],[7,8]]=>0101010000 [[1,4,9,10,11],[2,6],[3,8],[5],[7]]=>1101010000 [[1,2,3,7],[4,5,6,11],[8,9,10]]=>0010001000 [[1,3,6,7],[2,5,10,11],[4,9],[8]]=>1010001000 [[1,5,6,7],[2,9,10,11],[3],[4],[8]]=>1110001000 [[1,3,4,11],[2,6,7],[5,9,10],[8]]=>1001001000 [[1,2,7,11],[3,4,10],[5,6],[8,9]]=>0101001000 [[1,4,7,11],[2,6,10],[3,9],[5],[8]]=>1101001000 [[1,3,10,11],[2,5],[4,7],[6,9],[8]]=>1010101000 [[1,2,5],[3,4,8],[6,7,11],[9,10]]=>0100100100 [[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>1100100100 [[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>1010100100 [[1,6,9,11],[2,7,10],[3,8],[4],[5]]=>1111011010 [[1,6,10],[2,7,11],[3,8],[4,9],[5]]=>1111011101 [[1,5,9,11],[2,6,10],[3,7],[4,8]]=>1110111010 [[1,5,9],[2,6,10],[3,7,11],[4,8]]=>1110111011 [[1,5,8,11],[2,6,9],[3,7,10],[4]]=>1110110110 [[1,4,7,10],[2,5,8,11],[3,6,9]]=>1101101101 [[1,5,8,10],[2,6,9,11],[3,7],[4]]=>1110110101 [[1,4,7,9,11],[2,5,8,10],[3,6]]=>1101101010 [[1,5,8,10,11],[2,6,9],[3,7],[4]]=>1110110100 [[1,5,7,9,11],[2,6,8,10],[3],[4]]=>1110101010 [[1,4,7,10,11],[2,5,8],[3,6,9]]=>1101101100 [[1,6,8,10,11],[2,7,9],[3],[4],[5]]=>1111010100 [[1,5,9,10,11],[2,6],[3,7],[4,8]]=>1110111000 [[1,6,9,10,11],[2,7],[3,8],[4],[5]]=>1111011000 [[1,6,8,10],[2,7,9,11],[3],[4],[5]]=>1111010101 [[1,6,10,11],[2,7],[3,8],[4,9],[5]]=>1111011100 [[1,6,9],[2,7,10],[3,8,11],[4],[5]]=>1111011011 [[1,2,4,7],[3,5,8],[6,9],[10],[11]]=>0101101111 [[1,3,7],[2,4,8],[5,9],[6,10],[11]]=>1011101111 [[1,2,4,8],[3,5,9],[6,10],[7,11]]=>0101110111 [[1,4,8],[2,5,9],[3,6,10],[7,11]]=>1101110111 [[1,2,5,8],[3,6,9],[4,7,10],[11]]=>0110110111 [[1,3,6,9],[2,4,7,10],[5,8,11]]=>1011011011 [[1,3,5,8],[2,4,6,9],[7,10],[11]]=>1010110111 [[1,2,4,6,9],[3,5,7,10],[8,11]]=>0101011011 [[1,2,3,5,8],[4,6,9],[7,10],[11]]=>0010110111 [[1,2,4,6,8],[3,5,7,9],[10],[11]]=>0101010111 [[1,2,3,6,9],[4,7,10],[5,8,11]]=>0011011011 [[1,2,3,5,7],[4,6,8],[9],[10],[11]]=>0010101111 [[1,2,3,4,8],[5,9],[6,10],[7,11]]=>0001110111 [[1,2,3,4,7],[5,8],[6,9],[10],[11]]=>0001101111 [[1,3,5,7],[2,4,6,8],[9],[10],[11]]=>1010101111 [[1,2,3,7],[4,8],[5,9],[6,10],[11]]=>0011101111 [[1,4,7],[2,5,8],[3,6,9],[10],[11]]=>1101101111 [[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 [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>01001010010 [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>01001001001 [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>01001001010 [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>01001000100 [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>01000100101 [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>01000100010 [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>01000101001 [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>01000101010 [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>01000100100 [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>01000010001 [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>01000010010 [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>01000010100 [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>01000001000 [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>01010010101 [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>01010010010 [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>01010001001 [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>01010001010 [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>01010000100 [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>01010100101 [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>01010100010 [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>01010101001 [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>01010101010 [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>01010100100 [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>01010010001 [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>01010010010 [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>01010010100 [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>01010001000 [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>01001000101 [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>01001000010 [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>01001001001 [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>01001001010 [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>01001000100 [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>01001010001 [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>01001010010 [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>01001010100 [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>01001001000 [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>01000100001 [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>01000100010 [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>01000100100 [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>01000101000 [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>01000010000 [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>00100010101 [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>00100010010 [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>00100001001 [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>00100001010 [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>00100000100 [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>00100100101 [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>00100100010 [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>00100101001 [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>00100101010 [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>00100100100 [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>00100010001 [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>00100010010 [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>00100010100 [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>00100001000 [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>00101000101 [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>00101000010 [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>00101001001 [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>00101001010 [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>00101000100 [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>00101010001 [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>00101010010 [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>00101010100 [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>00101001000 [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>00100100001 [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>00100100010 [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>00100100100 [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>00100101000 [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>00100010000 [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>00010000101 [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>00010000010 [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>00010001001 [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>00010001010 [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>00010000100 [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>00010010001 [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>00010010010 [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>00010010100 [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>00010001000 [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>00010100001 [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>00010100010 [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>00010100100 [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>00010101000 [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>00010010000 [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>00001000001 [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>00001000010 [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>00001000100 [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>00001001000 [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>00001010000 [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>00000100000 [[1,2,3,4,5,6,7,8,9,10,11,12]]=>00000000000 [[1,2,3,4,5,6],[7,8,9,10],[11,12]]=>00000100010 [[1,2,3,4,5],[6,7,8,9],[10,11,12]]=>00001000100 [[1,2,3,4,5],[6,7,8,9],[10,11],[12]]=>00001000101 [[1,2,3,4,5],[6,7,8,9],[10],[11],[12]]=>00001000111 [[1,2,3,4,5],[6,7,8],[9,10,11],[12]]=>00001001001 [[1,2,3,4,5],[6,7,8],[9,10],[11,12]]=>00001001010 [[1,2,3,4,5],[6,7,8],[9,10],[11],[12]]=>00001001011 [[1,2,3,4,5],[6,7],[8,9],[10,11],[12]]=>00001010101 [[1,2,3,4],[5,6,7,8],[9,10,11],[12]]=>00010001001 [[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>00010001010 [[1,2,3,4],[5,6,7,8],[9,10],[11],[12]]=>00010001011 [[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>00010010010 [[1,2,3,4],[5,6,7],[8,9,10],[11],[12]]=>00010010011 [[1,2,3,4],[5,6,7],[8,9],[10,11],[12]]=>00010010101 [[1,2,3,4],[5,6],[7,8],[9,10],[11,12]]=>00010101010 [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]]=>00100100101 [[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]]=>00100101011 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>01010101010 [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>11111111111 [[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>00100010000 [[1,3,6,7,12],[2,5,10,11],[4,9],[8]]=>10100010000 [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]=>11100010000 [[1,3,4,11,12],[2,6,7],[5,9,10],[8]]=>10010010000 [[1,2,7,11,12],[3,4,10],[5,6],[8,9]]=>01010010000 [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]=>11010010000 [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]=>10101010000 [[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>10010001000 [[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]=>11010001000 [[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>01001001000 [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]=>11001001000 [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]=>10101001000 [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>10100100100 [[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>01010101101 [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>01010110110 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>01010110101 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>01010111011 [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>01011011010 [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>01011011101 [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>01011010110 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>01011010101 [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>01011011011 [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>01011101110 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>01011101101 [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>01011101011 [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>01011110111 [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>01101101010 [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>01101101101 [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>01101110110 [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>01101110101 [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>01101111011 [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>01101011010 [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>01101011101 [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>01101010110 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>01101010101 [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>01101011011 [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>01101101110 [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>01101101101 [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>01101101011 [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>01101110111 [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>01110111010 [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>01110111101 [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>01110110110 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>01110110101 [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>01110111011 [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>01110101110 [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>01110101101 [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>01110101011 [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>01110110111 [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>01111011110 [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>01111011101 [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>01111011011 [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>01111010111 [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>01111101111 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>10110101010 [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>10110101101 [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>10110110110 [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>10110110101 [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>10110111011 [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>10111011010 [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>10111011101 [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>10111010110 [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>10111010101 [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>10111011011 [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>10111101110 [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>10111101101 [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>10111101011 [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>10111110111 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>10101101010 [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>10101101101 [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>10101110110 [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>10101110101 [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>10101111011 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>10101011010 [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>10101011101 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>10101010110 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>10101010101 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>10101011011 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>10101101110 [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>10101101101 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>10101101011 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>10101110111 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>10110111010 [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>10110111101 [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>10110110110 [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>10110110101 [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>10110111011 [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>10110101110 [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>10110101101 [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>10110101011 [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>10110110111 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>10111011110 [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>10111011101 [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>10111011011 [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>10111010111 [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>10111101111 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>11011101010 [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>11011101101 [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>11011110110 [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>11011110101 [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>11011111011 [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>11011011010 [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>11011011101 [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>11011010110 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>11011010101 [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>11011011011 [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>11011101110 [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>11011101101 [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>11011101011 [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>11011110111 [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>11010111010 [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>11010111101 [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>11010110110 [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>11010110101 [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>11010111011 [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>11010101110 [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>11010101101 [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>11010101011 [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>11010110111 [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>11011011110 [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>11011011101 [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>11011011011 [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>11011010111 [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>11011101111 [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>11101111010 [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>11101111101 [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>11101110110 [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>11101110101 [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>11101111011 [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>11101101110 [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>11101101101 [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>11101101011 [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>11101110111 [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>11101011110 [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>11101011101 [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>11101011011 [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>11101010111 [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>11101101111 [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>11110111110 [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>11110111101 [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>11110111011 [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>11110110111 [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>11110101111 [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>11111011111 [[1,2,4,6,8,10,12],[3,5,7,9,11]]=>01010101010 [[1,2,4,6,8,10,11,12],[3,5,7,9]]=>01010101000 [[1,2,4,6,8,9,10,12],[3,5,7,11]]=>01010100010 [[1,2,4,6,8,9,11,12],[3,5,7,10]]=>01010100100 [[1,2,4,6,8,9,10,11,12],[3,5,7]]=>01010100000 [[1,2,4,6,7,8,10,12],[3,5,9,11]]=>01010001010 [[1,2,4,6,7,8,11,12],[3,5,9,10]]=>01010001000 [[1,2,4,6,7,9,10,12],[3,5,8,11]]=>01010010010 [[1,2,4,6,7,9,11,12],[3,5,8,10]]=>01010010100 [[1,2,4,6,7,9,10,11,12],[3,5,8]]=>01010010000 [[1,2,4,6,7,8,9,10,12],[3,5,11]]=>01010000010 [[1,2,4,6,7,8,9,11,12],[3,5,10]]=>01010000100 [[1,2,4,6,7,8,10,11,12],[3,5,9]]=>01010001000 [[1,2,4,6,7,8,9,10,11,12],[3,5]]=>01010000000 [[1,2,4,5,6,8,10,12],[3,7,9,11]]=>01000101010 [[1,2,4,5,6,8,11,12],[3,7,9,10]]=>01000101000 [[1,2,4,5,6,9,10,12],[3,7,8,11]]=>01000100010 [[1,2,4,5,6,9,11,12],[3,7,8,10]]=>01000100100 [[1,2,4,5,6,9,10,11,12],[3,7,8]]=>01000100000 [[1,2,4,5,7,8,10,12],[3,6,9,11]]=>01001001010 [[1,2,4,5,7,8,11,12],[3,6,9,10]]=>01001001000 [[1,2,4,5,7,9,10,12],[3,6,8,11]]=>01001010010 [[1,2,4,5,7,9,11,12],[3,6,8,10]]=>01001010100 [[1,2,4,5,7,9,10,11,12],[3,6,8]]=>01001010000 [[1,2,4,5,7,8,9,10,12],[3,6,11]]=>01001000010 [[1,2,4,5,7,8,9,11,12],[3,6,10]]=>01001000100 [[1,2,4,5,7,8,10,11,12],[3,6,9]]=>01001001000 [[1,2,4,5,7,8,9,10,11,12],[3,6]]=>01001000000 [[1,2,4,5,6,7,8,10,12],[3,9,11]]=>01000001010 [[1,2,4,5,6,7,8,11,12],[3,9,10]]=>01000001000 [[1,2,4,5,6,7,9,10,12],[3,8,11]]=>01000010010 [[1,2,4,5,6,7,9,11,12],[3,8,10]]=>01000010100 [[1,2,4,5,6,7,10,11,12],[3,8,9]]=>01000010000 [[1,2,4,5,6,8,9,10,12],[3,7,11]]=>01000100010 [[1,2,4,5,6,8,9,11,12],[3,7,10]]=>01000100100 [[1,2,4,5,6,8,10,11,12],[3,7,9]]=>01000101000 [[1,2,4,5,6,8,9,10,11,12],[3,7]]=>01000100000 [[1,2,4,5,6,7,8,9,10,12],[3,11]]=>01000000010 [[1,2,4,5,6,7,8,9,11,12],[3,10]]=>01000000100 [[1,2,4,5,6,7,8,10,11,12],[3,9]]=>01000001000 [[1,2,4,5,6,7,9,10,11,12],[3,8]]=>01000010000 [[1,2,4,5,6,7,8,9,10,11,12],[3]]=>01000000000 [[1,2,3,4,6,8,10,12],[5,7,9,11]]=>00010101010 [[1,2,3,4,6,8,11,12],[5,7,9,10]]=>00010101000 [[1,2,3,4,6,9,10,12],[5,7,8,11]]=>00010100010 [[1,2,3,4,6,9,11,12],[5,7,8,10]]=>00010100100 [[1,2,3,4,6,9,10,11,12],[5,7,8]]=>00010100000 [[1,2,3,4,7,8,10,12],[5,6,9,11]]=>00010001010 [[1,2,3,4,7,8,11,12],[5,6,9,10]]=>00010001000 [[1,2,3,4,7,9,10,12],[5,6,8,11]]=>00010010010 [[1,2,3,4,7,9,11,12],[5,6,8,10]]=>00010010100 [[1,2,3,4,7,9,10,11,12],[5,6,8]]=>00010010000 [[1,2,3,4,7,8,9,10,12],[5,6,11]]=>00010000010 [[1,2,3,4,7,8,9,11,12],[5,6,10]]=>00010000100 [[1,2,3,4,7,8,10,11,12],[5,6,9]]=>00010001000 [[1,2,3,4,7,8,9,10,11,12],[5,6]]=>00010000000 [[1,2,3,5,6,8,10,12],[4,7,9,11]]=>00100101010 [[1,2,3,5,6,8,11,12],[4,7,9,10]]=>00100101000 [[1,2,3,5,6,9,10,12],[4,7,8,11]]=>00100100010 [[1,2,3,5,6,9,11,12],[4,7,8,10]]=>00100100100 [[1,2,3,5,6,9,10,11,12],[4,7,8]]=>00100100000 [[1,2,3,5,7,8,10,12],[4,6,9,11]]=>00101001010 [[1,2,3,5,7,8,11,12],[4,6,9,10]]=>00101001000 [[1,2,3,5,7,9,10,12],[4,6,8,11]]=>00101010010 [[1,2,3,5,7,9,11,12],[4,6,8,10]]=>00101010100 [[1,2,3,5,7,9,10,11,12],[4,6,8]]=>00101010000 [[1,2,3,5,7,8,9,10,12],[4,6,11]]=>00101000010 [[1,2,3,5,7,8,9,11,12],[4,6,10]]=>00101000100 [[1,2,3,5,7,8,10,11,12],[4,6,9]]=>00101001000 [[1,2,3,5,7,8,9,10,11,12],[4,6]]=>00101000000 [[1,2,3,5,6,7,8,10,12],[4,9,11]]=>00100001010 [[1,2,3,5,6,7,8,11,12],[4,9,10]]=>00100001000 [[1,2,3,5,6,7,9,10,12],[4,8,11]]=>00100010010 [[1,2,3,5,6,7,9,11,12],[4,8,10]]=>00100010100 [[1,2,3,5,6,7,10,11,12],[4,8,9]]=>00100010000 [[1,2,3,5,6,8,9,10,12],[4,7,11]]=>00100100010 [[1,2,3,5,6,8,9,11,12],[4,7,10]]=>00100100100 [[1,2,3,5,6,8,10,11,12],[4,7,9]]=>00100101000 [[1,2,3,5,6,8,9,10,11,12],[4,7]]=>00100100000 [[1,2,3,5,6,7,8,9,10,12],[4,11]]=>00100000010 [[1,2,3,5,6,7,8,9,11,12],[4,10]]=>00100000100 [[1,2,3,5,6,7,8,10,11,12],[4,9]]=>00100001000 [[1,2,3,5,6,7,9,10,11,12],[4,8]]=>00100010000 [[1,2,3,5,6,7,8,9,10,11,12],[4]]=>00100000000 [[1,2,3,4,5,6,8,10,12],[7,9,11]]=>00000101010 [[1,2,3,4,5,6,8,11,12],[7,9,10]]=>00000101000 [[1,2,3,4,5,6,9,10,12],[7,8,11]]=>00000100010 [[1,2,3,4,5,6,9,11,12],[7,8,10]]=>00000100100 [[1,2,3,4,5,6,10,11,12],[7,8,9]]=>00000100000 [[1,2,3,4,5,7,8,10,12],[6,9,11]]=>00001001010 [[1,2,3,4,5,7,8,11,12],[6,9,10]]=>00001001000 [[1,2,3,4,5,7,9,10,12],[6,8,11]]=>00001010010 [[1,2,3,4,5,7,9,11,12],[6,8,10]]=>00001010100 [[1,2,3,4,5,7,10,11,12],[6,8,9]]=>00001010000 [[1,2,3,4,5,8,9,10,12],[6,7,11]]=>00001000010 [[1,2,3,4,5,8,9,11,12],[6,7,10]]=>00001000100 [[1,2,3,4,5,8,10,11,12],[6,7,9]]=>00001001000 [[1,2,3,4,5,8,9,10,11,12],[6,7]]=>00001000000 [[1,2,3,4,6,7,8,10,12],[5,9,11]]=>00010001010 [[1,2,3,4,6,7,8,11,12],[5,9,10]]=>00010001000 [[1,2,3,4,6,7,9,10,12],[5,8,11]]=>00010010010 [[1,2,3,4,6,7,9,11,12],[5,8,10]]=>00010010100 [[1,2,3,4,6,7,10,11,12],[5,8,9]]=>00010010000 [[1,2,3,4,6,8,9,10,12],[5,7,11]]=>00010100010 [[1,2,3,4,6,8,9,11,12],[5,7,10]]=>00010100100 [[1,2,3,4,6,8,10,11,12],[5,7,9]]=>00010101000 [[1,2,3,4,6,8,9,10,11,12],[5,7]]=>00010100000 [[1,2,3,4,6,7,8,9,10,12],[5,11]]=>00010000010 [[1,2,3,4,6,7,8,9,11,12],[5,10]]=>00010000100 [[1,2,3,4,6,7,8,10,11,12],[5,9]]=>00010001000 [[1,2,3,4,6,7,9,10,11,12],[5,8]]=>00010010000 [[1,2,3,4,6,7,8,9,10,11,12],[5]]=>00010000000 [[1,2,3,4,5,6,7,8,10,12],[9,11]]=>00000001010 [[1,2,3,4,5,6,7,8,11,12],[9,10]]=>00000001000 [[1,2,3,4,5,6,7,9,10,12],[8,11]]=>00000010010 [[1,2,3,4,5,6,7,9,11,12],[8,10]]=>00000010100 [[1,2,3,4,5,6,7,10,11,12],[8,9]]=>00000010000 [[1,2,3,4,5,6,8,9,10,12],[7,11]]=>00000100010 [[1,2,3,4,5,6,8,9,11,12],[7,10]]=>00000100100 [[1,2,3,4,5,6,8,10,11,12],[7,9]]=>00000101000 [[1,2,3,4,5,6,9,10,11,12],[7,8]]=>00000100000 [[1,2,3,4,5,7,8,9,10,12],[6,11]]=>00001000010 [[1,2,3,4,5,7,8,9,11,12],[6,10]]=>00001000100 [[1,2,3,4,5,7,8,10,11,12],[6,9]]=>00001001000 [[1,2,3,4,5,7,9,10,11,12],[6,8]]=>00001010000 [[1,2,3,4,5,7,8,9,10,11,12],[6]]=>00001000000 [[1,2,3,4,5,6,7,8,9,10,12],[11]]=>00000000010 [[1,2,3,4,5,6,7,8,9,11,12],[10]]=>00000000100 [[1,2,3,4,5,6,7,8,10,11,12],[9]]=>00000001000 [[1,2,3,4,5,6,7,9,10,11,12],[8]]=>00000010000 [[1,2,3,4,5,6,8,9,10,11,12],[7]]=>00000100000 [[1,6,10,12],[2,7,11],[3,8],[4,9],[5]]=>11110111010 [[1,6,10],[2,7,11],[3,8,12],[4,9],[5]]=>11110111011 [[1,5,9,12],[2,6,10],[3,7,11],[4,8]]=>11101110110 [[1,5,8,11],[2,6,9,12],[3,7,10],[4]]=>11101101101 [[1,4,7,10,12],[2,5,8,11],[3,6,9]]=>11011011010 [[1,5,8,10,12],[2,6,9,11],[3,7],[4]]=>11101101010 [[1,7,11],[2,8,12],[3,9],[4,10],[5],[6]]=>11111011101 [[1,4,7,9,11,12],[2,5,8,10],[3,6]]=>11011010100 [[1,6,8,10,12],[2,7,9,11],[3],[4],[5]]=>11110101010 [[1,5,8,11,12],[2,6,9],[3,7,10],[4]]=>11101101100 [[1,5,9,11,12],[2,6,10],[3,7],[4,8]]=>11101110100 [[1,6,9,11,12],[2,7,10],[3,8],[4],[5]]=>11110110100 [[1,6,10,11,12],[2,7],[3,8],[4,9],[5]]=>11110111000 [[1,5,9,11],[2,6,10,12],[3,7],[4,8]]=>11101110101 [[1,6,9,11],[2,7,10,12],[3,8],[4],[5]]=>11110110101 [[1,6,9,12],[2,7,10],[3,8,11],[4],[5]]=>11110110110 [[1,3],[2,5],[4,7],[6,9],[8,11],[10],[12]]=>10101010101 [[1,3],[2,5],[4,7],[6,9],[8],[10],[11],[12]]=>10101010111 [[1,3],[2,5],[4,7],[6,11],[8],[9],[10],[12]]=>10101011101 [[1,3],[2,5],[4,7],[6,10],[8],[9],[11],[12]]=>10101011011 [[1,3],[2,5],[4,7],[6],[8],[9],[10],[11],[12]]=>10101011111 [[1,3],[2,5],[4,9],[6,11],[7],[8],[10],[12]]=>10101110101 [[1,3],[2,5],[4,9],[6,10],[7],[8],[11],[12]]=>10101110111 [[1,3],[2,5],[4,8],[6,11],[7],[9],[10],[12]]=>10101101101 [[1,3],[2,5],[4,8],[6,10],[7],[9],[11],[12]]=>10101101011 [[1,3],[2,5],[4,8],[6],[7],[9],[10],[11],[12]]=>10101101111 [[1,3],[2,5],[4,11],[6],[7],[8],[9],[10],[12]]=>10101111101 [[1,3],[2,5],[4,10],[6],[7],[8],[9],[11],[12]]=>10101111011 [[1,3],[2,5],[4,9],[6],[7],[8],[10],[11],[12]]=>10101110111 [[1,3],[2,5],[4],[6],[7],[8],[9],[10],[11],[12]]=>10101111111 [[1,3],[2,7],[4,9],[5,11],[6],[8],[10],[12]]=>10111010101 [[1,3],[2,7],[4,9],[5,10],[6],[8],[11],[12]]=>10111010111 [[1,3],[2,7],[4,8],[5,11],[6],[9],[10],[12]]=>10111011101 [[1,3],[2,7],[4,8],[5,10],[6],[9],[11],[12]]=>10111011011 [[1,3],[2,7],[4,8],[5],[6],[9],[10],[11],[12]]=>10111011111 [[1,3],[2,6],[4,9],[5,11],[7],[8],[10],[12]]=>10110110101 [[1,3],[2,6],[4,9],[5,10],[7],[8],[11],[12]]=>10110110111 [[1,3],[2,6],[4,8],[5,11],[7],[9],[10],[12]]=>10110101101 [[1,3],[2,6],[4,8],[5,10],[7],[9],[11],[12]]=>10110101011 [[1,3],[2,6],[4,8],[5],[7],[9],[10],[11],[12]]=>10110101111 [[1,3],[2,6],[4,11],[5],[7],[8],[9],[10],[12]]=>10110111101 [[1,3],[2,6],[4,10],[5],[7],[8],[9],[11],[12]]=>10110111011 [[1,3],[2,6],[4,9],[5],[7],[8],[10],[11],[12]]=>10110110111 [[1,3],[2,6],[4],[5],[7],[8],[9],[10],[11],[12]]=>10110111111 [[1,3],[2,9],[4,11],[5],[6],[7],[8],[10],[12]]=>10111110101 [[1,3],[2,9],[4,10],[5],[6],[7],[8],[11],[12]]=>10111110111 [[1,3],[2,8],[4,11],[5],[6],[7],[9],[10],[12]]=>10111101101 [[1,3],[2,8],[4,10],[5],[6],[7],[9],[11],[12]]=>10111101011 [[1,3],[2,8],[4,9],[5],[6],[7],[10],[11],[12]]=>10111101111 [[1,3],[2,7],[4,11],[5],[6],[8],[9],[10],[12]]=>10111011101 [[1,3],[2,7],[4,10],[5],[6],[8],[9],[11],[12]]=>10111011011 [[1,3],[2,7],[4,9],[5],[6],[8],[10],[11],[12]]=>10111010111 [[1,3],[2,7],[4],[5],[6],[8],[9],[10],[11],[12]]=>10111011111 [[1,3],[2,11],[4],[5],[6],[7],[8],[9],[10],[12]]=>10111111101 [[1,3],[2,10],[4],[5],[6],[7],[8],[9],[11],[12]]=>10111111011 [[1,3],[2,9],[4],[5],[6],[7],[8],[10],[11],[12]]=>10111110111 [[1,3],[2,8],[4],[5],[6],[7],[9],[10],[11],[12]]=>10111101111 [[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>10111111111 [[1,5],[2,7],[3,9],[4,11],[6],[8],[10],[12]]=>11101010101 [[1,5],[2,7],[3,9],[4,10],[6],[8],[11],[12]]=>11101010111 [[1,5],[2,7],[3,8],[4,11],[6],[9],[10],[12]]=>11101011101 [[1,5],[2,7],[3,8],[4,10],[6],[9],[11],[12]]=>11101011011 [[1,5],[2,7],[3,8],[4],[6],[9],[10],[11],[12]]=>11101011111 [[1,5],[2,6],[3,9],[4,11],[7],[8],[10],[12]]=>11101110101 [[1,5],[2,6],[3,9],[4,10],[7],[8],[11],[12]]=>11101110111 [[1,5],[2,6],[3,8],[4,11],[7],[9],[10],[12]]=>11101101101 [[1,5],[2,6],[3,8],[4,10],[7],[9],[11],[12]]=>11101101011 [[1,5],[2,6],[3,8],[4],[7],[9],[10],[11],[12]]=>11101101111 [[1,5],[2,6],[3,11],[4],[7],[8],[9],[10],[12]]=>11101111101 [[1,5],[2,6],[3,10],[4],[7],[8],[9],[11],[12]]=>11101111011 [[1,5],[2,6],[3,9],[4],[7],[8],[10],[11],[12]]=>11101110111 [[1,5],[2,6],[3],[4],[7],[8],[9],[10],[11],[12]]=>11101111111 [[1,4],[2,7],[3,9],[5,11],[6],[8],[10],[12]]=>11011010101 [[1,4],[2,7],[3,9],[5,10],[6],[8],[11],[12]]=>11011010111 [[1,4],[2,7],[3,8],[5,11],[6],[9],[10],[12]]=>11011011101 [[1,4],[2,7],[3,8],[5,10],[6],[9],[11],[12]]=>11011011011 [[1,4],[2,7],[3,8],[5],[6],[9],[10],[11],[12]]=>11011011111 [[1,4],[2,6],[3,9],[5,11],[7],[8],[10],[12]]=>11010110101 [[1,4],[2,6],[3,9],[5,10],[7],[8],[11],[12]]=>11010110111 [[1,4],[2,6],[3,8],[5,11],[7],[9],[10],[12]]=>11010101101 [[1,4],[2,6],[3,8],[5,10],[7],[9],[11],[12]]=>11010101011 [[1,4],[2,6],[3,8],[5],[7],[9],[10],[11],[12]]=>11010101111 [[1,4],[2,6],[3,11],[5],[7],[8],[9],[10],[12]]=>11010111101 [[1,4],[2,6],[3,10],[5],[7],[8],[9],[11],[12]]=>11010111011 [[1,4],[2,6],[3,9],[5],[7],[8],[10],[11],[12]]=>11010110111 [[1,4],[2,6],[3],[5],[7],[8],[9],[10],[11],[12]]=>11010111111 [[1,4],[2,9],[3,11],[5],[6],[7],[8],[10],[12]]=>11011110101 [[1,4],[2,9],[3,10],[5],[6],[7],[8],[11],[12]]=>11011110111 [[1,4],[2,8],[3,11],[5],[6],[7],[9],[10],[12]]=>11011101101 [[1,4],[2,8],[3,10],[5],[6],[7],[9],[11],[12]]=>11011101011 [[1,4],[2,8],[3,9],[5],[6],[7],[10],[11],[12]]=>11011101111 [[1,4],[2,7],[3,11],[5],[6],[8],[9],[10],[12]]=>11011011101 [[1,4],[2,7],[3,10],[5],[6],[8],[9],[11],[12]]=>11011011011 [[1,4],[2,7],[3,9],[5],[6],[8],[10],[11],[12]]=>11011010111 [[1,4],[2,7],[3],[5],[6],[8],[9],[10],[11],[12]]=>11011011111 [[1,4],[2,11],[3],[5],[6],[7],[8],[9],[10],[12]]=>11011111101 [[1,4],[2,10],[3],[5],[6],[7],[8],[9],[11],[12]]=>11011111011 [[1,4],[2,9],[3],[5],[6],[7],[8],[10],[11],[12]]=>11011110111 [[1,4],[2,8],[3],[5],[6],[7],[9],[10],[11],[12]]=>11011101111 [[1,4],[2],[3],[5],[6],[7],[8],[9],[10],[11],[12]]=>11011111111 [[1,7],[2,9],[3,11],[4],[5],[6],[8],[10],[12]]=>11111010101 [[1,7],[2,9],[3,10],[4],[5],[6],[8],[11],[12]]=>11111010111 [[1,7],[2,8],[3,11],[4],[5],[6],[9],[10],[12]]=>11111011101 [[1,7],[2,8],[3,10],[4],[5],[6],[9],[11],[12]]=>11111011011 [[1,7],[2,8],[3,9],[4],[5],[6],[10],[11],[12]]=>11111011111 [[1,6],[2,9],[3,11],[4],[5],[7],[8],[10],[12]]=>11110110101 [[1,6],[2,9],[3,10],[4],[5],[7],[8],[11],[12]]=>11110110111 [[1,6],[2,8],[3,11],[4],[5],[7],[9],[10],[12]]=>11110101101 [[1,6],[2,8],[3,10],[4],[5],[7],[9],[11],[12]]=>11110101011 [[1,6],[2,8],[3,9],[4],[5],[7],[10],[11],[12]]=>11110101111 [[1,6],[2,7],[3,11],[4],[5],[8],[9],[10],[12]]=>11110111101 [[1,6],[2,7],[3,10],[4],[5],[8],[9],[11],[12]]=>11110111011 [[1,6],[2,7],[3,9],[4],[5],[8],[10],[11],[12]]=>11110110111 [[1,6],[2,7],[3],[4],[5],[8],[9],[10],[11],[12]]=>11110111111 [[1,5],[2,9],[3,11],[4],[6],[7],[8],[10],[12]]=>11101110101 [[1,5],[2,9],[3,10],[4],[6],[7],[8],[11],[12]]=>11101110111 [[1,5],[2,8],[3,11],[4],[6],[7],[9],[10],[12]]=>11101101101 [[1,5],[2,8],[3,10],[4],[6],[7],[9],[11],[12]]=>11101101011 [[1,5],[2,8],[3,9],[4],[6],[7],[10],[11],[12]]=>11101101111 [[1,5],[2,7],[3,11],[4],[6],[8],[9],[10],[12]]=>11101011101 [[1,5],[2,7],[3,10],[4],[6],[8],[9],[11],[12]]=>11101011011 [[1,5],[2,7],[3,9],[4],[6],[8],[10],[11],[12]]=>11101010111 [[1,5],[2,7],[3],[4],[6],[8],[9],[10],[11],[12]]=>11101011111 [[1,5],[2,11],[3],[4],[6],[7],[8],[9],[10],[12]]=>11101111101 [[1,5],[2,10],[3],[4],[6],[7],[8],[9],[11],[12]]=>11101111011 [[1,5],[2,9],[3],[4],[6],[7],[8],[10],[11],[12]]=>11101110111 [[1,5],[2,8],[3],[4],[6],[7],[9],[10],[11],[12]]=>11101101111 [[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]]=>11101111111 [[1,9],[2,11],[3],[4],[5],[6],[7],[8],[10],[12]]=>11111110101 [[1,9],[2,10],[3],[4],[5],[6],[7],[8],[11],[12]]=>11111110111 [[1,8],[2,11],[3],[4],[5],[6],[7],[9],[10],[12]]=>11111101101 [[1,8],[2,10],[3],[4],[5],[6],[7],[9],[11],[12]]=>11111101011 [[1,8],[2,9],[3],[4],[5],[6],[7],[10],[11],[12]]=>11111101111 [[1,7],[2,11],[3],[4],[5],[6],[8],[9],[10],[12]]=>11111011101 [[1,7],[2,10],[3],[4],[5],[6],[8],[9],[11],[12]]=>11111011011 [[1,7],[2,9],[3],[4],[5],[6],[8],[10],[11],[12]]=>11111010111 [[1,7],[2,8],[3],[4],[5],[6],[9],[10],[11],[12]]=>11111011111 [[1,6],[2,11],[3],[4],[5],[7],[8],[9],[10],[12]]=>11110111101 [[1,6],[2,10],[3],[4],[5],[7],[8],[9],[11],[12]]=>11110111011 [[1,6],[2,9],[3],[4],[5],[7],[8],[10],[11],[12]]=>11110110111 [[1,6],[2,8],[3],[4],[5],[7],[9],[10],[11],[12]]=>11110101111 [[1,6],[2],[3],[4],[5],[7],[8],[9],[10],[11],[12]]=>11110111111 [[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]=>11111111101 [[1,10],[2],[3],[4],[5],[6],[7],[8],[9],[11],[12]]=>11111111011 [[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]]=>11111110111 [[1,8],[2],[3],[4],[5],[6],[7],[9],[10],[11],[12]]=>11111101111 [[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]]=>11111011111 [[1,2,3,4],[5,6],[7,8],[9,11],[10,12]]=>00010101101 [[1,2,3,4],[5,6],[7,9],[8,10],[11,12]]=>00010110110 [[1,2,3,4],[5,6],[7,9],[8,11],[10,12]]=>00010110101 [[1,2,3,4],[5,6],[7,10],[8,11],[9,12]]=>00010111011 [[1,2,3,4],[5,7],[6,8],[9,10],[11,12]]=>00011011010 [[1,2,3,4],[5,7],[6,8],[9,11],[10,12]]=>00011011101 [[1,2,3,4],[5,7],[6,9],[8,10],[11,12]]=>00011010110 [[1,2,3,4],[5,7],[6,9],[8,11],[10,12]]=>00011010101 [[1,2,3,4],[5,7],[6,10],[8,11],[9,12]]=>00011011011 [[1,2,3,4],[5,8],[6,9],[7,10],[11,12]]=>00011101110 [[1,2,3,4],[5,8],[6,9],[7,11],[10,12]]=>00011101101 [[1,2,3,4],[5,8],[6,10],[7,11],[9,12]]=>00011101011 [[1,2,3,4],[5,9],[6,10],[7,11],[8,12]]=>00011110111 [[1,2,3,5],[4,6],[7,8],[9,10],[11,12]]=>00101101010 [[1,2,3,5],[4,6],[7,8],[9,11],[10,12]]=>00101101101 [[1,2,3,5],[4,6],[7,9],[8,10],[11,12]]=>00101110110 [[1,2,3,5],[4,6],[7,9],[8,11],[10,12]]=>00101110101 [[1,2,3,5],[4,6],[7,10],[8,11],[9,12]]=>00101111011 [[1,2,3,5],[4,7],[6,8],[9,10],[11,12]]=>00101011010 [[1,2,3,5],[4,7],[6,8],[9,11],[10,12]]=>00101011101 [[1,2,3,5],[4,7],[6,9],[8,10],[11,12]]=>00101010110 [[1,2,3,5],[4,7],[6,9],[8,11],[10,12]]=>00101010101 [[1,2,3,5],[4,7],[6,10],[8,11],[9,12]]=>00101011011 [[1,2,3,5],[4,8],[6,9],[7,10],[11,12]]=>00101101110 [[1,2,3,5],[4,8],[6,9],[7,11],[10,12]]=>00101101101 [[1,2,3,5],[4,8],[6,10],[7,11],[9,12]]=>00101101011 [[1,2,3,5],[4,9],[6,10],[7,11],[8,12]]=>00101110111 [[1,2,3,6],[4,7],[5,8],[9,10],[11,12]]=>00110111010 [[1,2,3,6],[4,7],[5,8],[9,11],[10,12]]=>00110111101 [[1,2,3,6],[4,7],[5,9],[8,10],[11,12]]=>00110110110 [[1,2,3,6],[4,7],[5,9],[8,11],[10,12]]=>00110110101 [[1,2,3,6],[4,7],[5,10],[8,11],[9,12]]=>00110111011 [[1,2,3,6],[4,8],[5,9],[7,10],[11,12]]=>00110101110 [[1,2,3,6],[4,8],[5,9],[7,11],[10,12]]=>00110101101 [[1,2,3,6],[4,8],[5,10],[7,11],[9,12]]=>00110101011 [[1,2,3,6],[4,9],[5,10],[7,11],[8,12]]=>00110110111 [[1,2,3,7],[4,8],[5,9],[6,10],[11,12]]=>00111011110 [[1,2,3,7],[4,8],[5,9],[6,11],[10,12]]=>00111011101 [[1,2,3,7],[4,8],[5,10],[6,11],[9,12]]=>00111011011 [[1,2,3,7],[4,9],[5,10],[6,11],[8,12]]=>00111010111 [[1,2,3,8],[4,9],[5,10],[6,11],[7,12]]=>00111101111 [[1,2,4,6],[3,5],[7,8],[9,10],[11,12]]=>01010101010 [[1,2,4,6],[3,5],[7,8],[9,11],[10,12]]=>01010101101 [[1,2,4,6],[3,5],[7,9],[8,10],[11,12]]=>01010110110 [[1,2,4,6],[3,5],[7,9],[8,11],[10,12]]=>01010110101 [[1,2,4,6],[3,5],[7,10],[8,11],[9,12]]=>01010111011 [[1,2,4,7],[3,5],[6,8],[9,10],[11,12]]=>01011011010 [[1,2,4,7],[3,5],[6,8],[9,11],[10,12]]=>01011011101 [[1,2,4,7],[3,5],[6,9],[8,10],[11,12]]=>01011010110 [[1,2,4,7],[3,5],[6,9],[8,11],[10,12]]=>01011010101 [[1,2,4,7],[3,5],[6,10],[8,11],[9,12]]=>01011011011 [[1,2,4,8],[3,5],[6,9],[7,10],[11,12]]=>01011101110 [[1,2,4,8],[3,5],[6,9],[7,11],[10,12]]=>01011101101 [[1,2,4,8],[3,5],[6,10],[7,11],[9,12]]=>01011101011 [[1,2,4,9],[3,5],[6,10],[7,11],[8,12]]=>01011110111 [[1,2,4,5],[3,6],[7,8],[9,10],[11,12]]=>01001101010 [[1,2,4,5],[3,6],[7,8],[9,11],[10,12]]=>01001101101 [[1,2,4,5],[3,6],[7,9],[8,10],[11,12]]=>01001110110 [[1,2,4,5],[3,6],[7,9],[8,11],[10,12]]=>01001110101 [[1,2,4,5],[3,6],[7,10],[8,11],[9,12]]=>01001111011 [[1,2,4,5],[3,7],[6,8],[9,10],[11,12]]=>01001011010 [[1,2,4,5],[3,7],[6,8],[9,11],[10,12]]=>01001011101 [[1,2,4,5],[3,7],[6,9],[8,10],[11,12]]=>01001010110 [[1,2,4,5],[3,7],[6,9],[8,11],[10,12]]=>01001010101 [[1,2,4,5],[3,7],[6,10],[8,11],[9,12]]=>01001011011 [[1,2,4,5],[3,8],[6,9],[7,10],[11,12]]=>01001101110 [[1,2,4,5],[3,8],[6,9],[7,11],[10,12]]=>01001101101 [[1,2,4,5],[3,8],[6,10],[7,11],[9,12]]=>01001101011 [[1,2,4,5],[3,9],[6,10],[7,11],[8,12]]=>01001110111 [[1,2,4,6],[3,7],[5,8],[9,10],[11,12]]=>01010111010 [[1,2,4,6],[3,7],[5,8],[9,11],[10,12]]=>01010111101 [[1,2,4,6],[3,7],[5,9],[8,10],[11,12]]=>01010110110 [[1,2,4,6],[3,7],[5,9],[8,11],[10,12]]=>01010110101 [[1,2,4,6],[3,7],[5,10],[8,11],[9,12]]=>01010111011 [[1,2,4,6],[3,8],[5,9],[7,10],[11,12]]=>01010101110 [[1,2,4,6],[3,8],[5,9],[7,11],[10,12]]=>01010101101 [[1,2,4,6],[3,8],[5,10],[7,11],[9,12]]=>01010101011 [[1,2,4,6],[3,9],[5,10],[7,11],[8,12]]=>01010110111 [[1,2,4,7],[3,8],[5,9],[6,10],[11,12]]=>01011011110 [[1,2,4,7],[3,8],[5,9],[6,11],[10,12]]=>01011011101 [[1,2,4,7],[3,8],[5,10],[6,11],[9,12]]=>01011011011 [[1,2,4,7],[3,9],[5,10],[6,11],[8,12]]=>01011010111 [[1,2,4,8],[3,9],[5,10],[6,11],[7,12]]=>01011101111 [[1,2,5,8],[3,6],[4,7],[9,10],[11,12]]=>01101101010 [[1,2,5,8],[3,6],[4,7],[9,11],[10,12]]=>01101101101 [[1,2,5,9],[3,6],[4,7],[8,10],[11,12]]=>01101110110 [[1,2,5,9],[3,6],[4,7],[8,11],[10,12]]=>01101110101 [[1,2,5,10],[3,6],[4,7],[8,11],[9,12]]=>01101111011 [[1,2,5,7],[3,6],[4,8],[9,10],[11,12]]=>01101011010 [[1,2,5,7],[3,6],[4,8],[9,11],[10,12]]=>01101011101 [[1,2,5,7],[3,6],[4,9],[8,10],[11,12]]=>01101010110 [[1,2,5,7],[3,6],[4,9],[8,11],[10,12]]=>01101010101 [[1,2,5,7],[3,6],[4,10],[8,11],[9,12]]=>01101011011 [[1,2,5,8],[3,6],[4,9],[7,10],[11,12]]=>01101101110 [[1,2,5,8],[3,6],[4,9],[7,11],[10,12]]=>01101101101 [[1,2,5,8],[3,6],[4,10],[7,11],[9,12]]=>01101101011 [[1,2,5,9],[3,6],[4,10],[7,11],[8,12]]=>01101110111 [[1,2,5,6],[3,7],[4,8],[9,10],[11,12]]=>01100111010 [[1,2,5,6],[3,7],[4,8],[9,11],[10,12]]=>01100111101 [[1,2,5,6],[3,7],[4,9],[8,10],[11,12]]=>01100110110 [[1,2,5,6],[3,7],[4,9],[8,11],[10,12]]=>01100110101 [[1,2,5,6],[3,7],[4,10],[8,11],[9,12]]=>01100111011 [[1,2,5,6],[3,8],[4,9],[7,10],[11,12]]=>01100101110 [[1,2,5,6],[3,8],[4,9],[7,11],[10,12]]=>01100101101 [[1,2,5,6],[3,8],[4,10],[7,11],[9,12]]=>01100101011 [[1,2,5,6],[3,9],[4,10],[7,11],[8,12]]=>01100110111 [[1,2,5,7],[3,8],[4,9],[6,10],[11,12]]=>01101011110 [[1,2,5,7],[3,8],[4,9],[6,11],[10,12]]=>01101011101 [[1,2,5,7],[3,8],[4,10],[6,11],[9,12]]=>01101011011 [[1,2,5,7],[3,9],[4,10],[6,11],[8,12]]=>01101010111 [[1,2,5,8],[3,9],[4,10],[6,11],[7,12]]=>01101101111 [[1,2,6,10],[3,7],[4,8],[5,9],[11,12]]=>01110111010 [[1,2,6,11],[3,7],[4,8],[5,9],[10,12]]=>01110111101 [[1,2,6,9],[3,7],[4,8],[5,10],[11,12]]=>01110110110 [[1,2,6,9],[3,7],[4,8],[5,11],[10,12]]=>01110110101 [[1,2,6,10],[3,7],[4,8],[5,11],[9,12]]=>01110111011 [[1,2,6,8],[3,7],[4,9],[5,10],[11,12]]=>01110101110 [[1,2,6,8],[3,7],[4,9],[5,11],[10,12]]=>01110101101 [[1,2,6,8],[3,7],[4,10],[5,11],[9,12]]=>01110101011 [[1,2,6,9],[3,7],[4,10],[5,11],[8,12]]=>01110110111 [[1,2,6,7],[3,8],[4,9],[5,10],[11,12]]=>01110011110 [[1,2,6,7],[3,8],[4,9],[5,11],[10,12]]=>01110011101 [[1,2,6,7],[3,8],[4,10],[5,11],[9,12]]=>01110011011 [[1,2,6,7],[3,9],[4,10],[5,11],[8,12]]=>01110010111 [[1,2,6,8],[3,9],[4,10],[5,11],[7,12]]=>01110101111 [[1,2,7,12],[3,8],[4,9],[5,10],[6,11]]=>01111011110 [[1,2,7,11],[3,8],[4,9],[5,10],[6,12]]=>01111011101 [[1,2,7,10],[3,8],[4,9],[5,11],[6,12]]=>01111011011 [[1,2,7,9],[3,8],[4,10],[5,11],[6,12]]=>01111010111 [[1,2,7,8],[3,9],[4,10],[5,11],[6,12]]=>01111001111 [[1,2,8],[3,9],[4,10],[5,11],[6,12],[7]]=>01111101111 [[1,3,7],[2,4,8],[5,9],[6,10],[11],[12]]=>10111011111 [[1,2,3,5,7,10],[4,6,8,11],[9,12]]=>00101011011 [[1,2,4,8],[3,5,9],[6,10],[7,11],[12]]=>01011101111 [[1,4,8],[2,5,9],[3,6,10],[7,11],[12]]=>11011101111 [[1,2,5,9],[3,6,10],[4,7,11],[8,12]]=>01101110111 [[1,3,6,9],[2,4,7,10],[5,8,11],[12]]=>10110110111 [[1,2,4,7,10],[3,5,8,11],[6,9,12]]=>01011011011 [[1,2,4,6,9],[3,5,7,10],[8,11],[12]]=>01010110111 [[1,2,4,6,8],[3,5,7,9],[10],[11],[12]]=>01010101111 [[1,2,3,6,9],[4,7,10],[5,8,11],[12]]=>00110110111 [[1,2,3,5,9],[4,6,10],[7,11],[8,12]]=>00101110111 [[1,2,3,5,8],[4,6,9],[7,10],[11],[12]]=>00101101111 [[1,2,3,4,8],[5,9],[6,10],[7,11],[12]]=>00011101111 [[1,3,5,9],[2,4,6,10],[7,11],[8,12]]=>10101110111 [[1,3,5,8],[2,4,6,9],[7,10],[11],[12]]=>10101101111 [[1,2,5,8],[3,6,9],[4,7,10],[11],[12]]=>01101101111 [[1,5,7,9,11],[2,6,8,10,12],[3],[4]]=>11101010101 [[1,5,7,9,10],[2,6,8,11,12],[3],[4]]=>11101010010 [[1,5,7,8,11],[2,6,9,10,12],[3],[4]]=>11101001001 [[1,5,7,8,10],[2,6,9,11,12],[3],[4]]=>11101001010 [[1,5,7,8,9],[2,6,10,11,12],[3],[4]]=>11101000100 [[1,5,6,9,11],[2,7,8,10,12],[3],[4]]=>11100100101 [[1,5,6,9,10],[2,7,8,11,12],[3],[4]]=>11100100010 [[1,5,6,8,11],[2,7,9,10,12],[3],[4]]=>11100101001 [[1,5,6,8,10],[2,7,9,11,12],[3],[4]]=>11100101010 [[1,5,6,8,9],[2,7,10,11,12],[3],[4]]=>11100100100 [[1,5,6,7,11],[2,8,9,10,12],[3],[4]]=>11100010001 [[1,5,6,7,10],[2,8,9,11,12],[3],[4]]=>11100010010 [[1,5,6,7,9],[2,8,10,11,12],[3],[4]]=>11100010100 [[1,5,6,7,8],[2,9,10,11,12],[3],[4]]=>11100001000 [[1,4,7,9,11],[2,6,8,10,12],[3],[5]]=>11010010101 [[1,4,7,9,10],[2,6,8,11,12],[3],[5]]=>11010010010 [[1,4,7,8,11],[2,6,9,10,12],[3],[5]]=>11010001001 [[1,4,7,8,10],[2,6,9,11,12],[3],[5]]=>11010001010 [[1,4,7,8,9],[2,6,10,11,12],[3],[5]]=>11010000100 [[1,4,6,9,11],[2,7,8,10,12],[3],[5]]=>11010100101 [[1,4,6,9,10],[2,7,8,11,12],[3],[5]]=>11010100010 [[1,4,6,8,11],[2,7,9,10,12],[3],[5]]=>11010101001 [[1,4,6,8,10],[2,7,9,11,12],[3],[5]]=>11010101010 [[1,4,6,8,9],[2,7,10,11,12],[3],[5]]=>11010100100 [[1,4,6,7,11],[2,8,9,10,12],[3],[5]]=>11010010001 [[1,4,6,7,10],[2,8,9,11,12],[3],[5]]=>11010010010 [[1,4,6,7,9],[2,8,10,11,12],[3],[5]]=>11010010100 [[1,4,6,7,8],[2,9,10,11,12],[3],[5]]=>11010001000 [[1,4,5,9,11],[2,7,8,10,12],[3],[6]]=>11001000101 [[1,4,5,9,10],[2,7,8,11,12],[3],[6]]=>11001000010 [[1,4,5,8,11],[2,7,9,10,12],[3],[6]]=>11001001001 [[1,4,5,8,10],[2,7,9,11,12],[3],[6]]=>11001001010 [[1,4,5,8,9],[2,7,10,11,12],[3],[6]]=>11001000100 [[1,4,5,7,11],[2,8,9,10,12],[3],[6]]=>11001010001 [[1,4,5,7,10],[2,8,9,11,12],[3],[6]]=>11001010010 [[1,4,5,7,9],[2,8,10,11,12],[3],[6]]=>11001010100 [[1,4,5,7,8],[2,9,10,11,12],[3],[6]]=>11001001000 [[1,4,5,6,11],[2,8,9,10,12],[3],[7]]=>11000100001 [[1,4,5,6,10],[2,8,9,11,12],[3],[7]]=>11000100010 [[1,4,5,6,9],[2,8,10,11,12],[3],[7]]=>11000100100 [[1,4,5,6,8],[2,9,10,11,12],[3],[7]]=>11000101000 [[1,3,7,9,11],[2,5,8,10,12],[4],[6]]=>10101010101 [[1,3,7,9,10],[2,5,8,11,12],[4],[6]]=>10101010010 [[1,3,7,8,11],[2,5,9,10,12],[4],[6]]=>10101001001 [[1,3,7,8,10],[2,5,9,11,12],[4],[6]]=>10101001010 [[1,3,7,8,9],[2,5,10,11,12],[4],[6]]=>10101000100 [[1,3,6,9,11],[2,5,8,10,12],[4],[7]]=>10100100101 [[1,3,6,9,10],[2,5,8,11,12],[4],[7]]=>10100100010 [[1,3,6,8,11],[2,5,9,10,12],[4],[7]]=>10100101001 [[1,3,6,8,10],[2,5,9,11,12],[4],[7]]=>10100101010 [[1,3,6,8,9],[2,5,10,11,12],[4],[7]]=>10100100100 [[1,3,6,7,11],[2,5,9,10,12],[4],[8]]=>10100010001 [[1,3,6,7,10],[2,5,9,11,12],[4],[8]]=>10100010010 [[1,3,6,7,9],[2,5,10,11,12],[4],[8]]=>10100010100 [[1,3,6,7,8],[2,5,10,11,12],[4],[9]]=>10100001000 [[1,3,7,9,11],[2,6,8,10,12],[4],[5]]=>10110010101 [[1,3,7,9,10],[2,6,8,11,12],[4],[5]]=>10110010010 [[1,3,7,8,11],[2,6,9,10,12],[4],[5]]=>10110001001 [[1,3,7,8,10],[2,6,9,11,12],[4],[5]]=>10110001010 [[1,3,7,8,9],[2,6,10,11,12],[4],[5]]=>10110000100 [[1,3,6,9,11],[2,7,8,10,12],[4],[5]]=>10110100101 [[1,3,6,9,10],[2,7,8,11,12],[4],[5]]=>10110100010 [[1,3,6,8,11],[2,7,9,10,12],[4],[5]]=>10110101001 [[1,3,6,8,10],[2,7,9,11,12],[4],[5]]=>10110101010 [[1,3,6,8,9],[2,7,10,11,12],[4],[5]]=>10110100100 [[1,3,6,7,11],[2,8,9,10,12],[4],[5]]=>10110010001 [[1,3,6,7,10],[2,8,9,11,12],[4],[5]]=>10110010010 [[1,3,6,7,9],[2,8,10,11,12],[4],[5]]=>10110010100 [[1,3,6,7,8],[2,9,10,11,12],[4],[5]]=>10110001000 [[1,3,5,9,11],[2,7,8,10,12],[4],[6]]=>10101000101 [[1,3,5,9,10],[2,7,8,11,12],[4],[6]]=>10101000010 [[1,3,5,8,11],[2,7,9,10,12],[4],[6]]=>10101001001 [[1,3,5,8,10],[2,7,9,11,12],[4],[6]]=>10101001010 [[1,3,5,8,9],[2,7,10,11,12],[4],[6]]=>10101000100 [[1,3,5,7,11],[2,8,9,10,12],[4],[6]]=>10101010001 [[1,3,5,7,10],[2,8,9,11,12],[4],[6]]=>10101010010 [[1,3,5,7,9],[2,8,10,11,12],[4],[6]]=>10101010100 [[1,3,5,7,8],[2,9,10,11,12],[4],[6]]=>10101001000 [[1,3,5,6,11],[2,8,9,10,12],[4],[7]]=>10100100001 [[1,3,5,6,10],[2,8,9,11,12],[4],[7]]=>10100100010 [[1,3,5,6,9],[2,8,10,11,12],[4],[7]]=>10100100100 [[1,3,5,6,8],[2,9,10,11,12],[4],[7]]=>10100101000 [[1,3,5,6,7],[2,9,10,11,12],[4],[8]]=>10100010000 [[1,3,4,9,11],[2,6,7,10,12],[5],[8]]=>10010010101 [[1,3,4,9,10],[2,6,7,11,12],[5],[8]]=>10010010010 [[1,3,4,8,11],[2,6,7,10,12],[5],[9]]=>10010001001 [[1,3,4,8,10],[2,6,7,11,12],[5],[9]]=>10010001010 [[1,3,4,8,9],[2,6,7,11,12],[5],[10]]=>10010000100 [[1,3,4,9,11],[2,6,8,10,12],[5],[7]]=>10010100101 [[1,3,4,9,10],[2,6,8,11,12],[5],[7]]=>10010100010 [[1,3,4,8,11],[2,6,9,10,12],[5],[7]]=>10010101001 [[1,3,4,8,10],[2,6,9,11,12],[5],[7]]=>10010101010 [[1,3,4,8,9],[2,6,10,11,12],[5],[7]]=>10010100100 [[1,3,4,7,11],[2,6,9,10,12],[5],[8]]=>10010010001 [[1,3,4,7,10],[2,6,9,11,12],[5],[8]]=>10010010010 [[1,3,4,7,9],[2,6,10,11,12],[5],[8]]=>10010010100 [[1,3,4,7,8],[2,6,10,11,12],[5],[9]]=>10010001000 [[1,3,4,9,11],[2,7,8,10,12],[5],[6]]=>10011000101 [[1,3,4,9,10],[2,7,8,11,12],[5],[6]]=>10011000010 [[1,3,4,8,11],[2,7,9,10,12],[5],[6]]=>10011001001 [[1,3,4,8,10],[2,7,9,11,12],[5],[6]]=>10011001010 [[1,3,4,8,9],[2,7,10,11,12],[5],[6]]=>10011000100 [[1,3,4,7,11],[2,8,9,10,12],[5],[6]]=>10011010001 [[1,3,4,7,10],[2,8,9,11,12],[5],[6]]=>10011010010 [[1,3,4,7,9],[2,8,10,11,12],[5],[6]]=>10011010100 [[1,3,4,7,8],[2,9,10,11,12],[5],[6]]=>10011001000 [[1,3,4,6,11],[2,8,9,10,12],[5],[7]]=>10010100001 [[1,3,4,6,10],[2,8,9,11,12],[5],[7]]=>10010100010 [[1,3,4,6,9],[2,8,10,11,12],[5],[7]]=>10010100100 [[1,3,4,6,8],[2,9,10,11,12],[5],[7]]=>10010101000 [[1,3,4,6,7],[2,9,10,11,12],[5],[8]]=>10010010000 [[1,3,4,5,11],[2,7,8,9,12],[6],[10]]=>10001000101 [[1,3,4,5,10],[2,7,8,9,12],[6],[11]]=>10001000010 [[1,3,4,5,11],[2,7,8,10,12],[6],[9]]=>10001001001 [[1,3,4,5,10],[2,7,8,11,12],[6],[9]]=>10001001010 [[1,3,4,5,9],[2,7,8,11,12],[6],[10]]=>10001000100 [[1,3,4,5,11],[2,7,9,10,12],[6],[8]]=>10001010001 [[1,3,4,5,10],[2,7,9,11,12],[6],[8]]=>10001010010 [[1,3,4,5,9],[2,7,10,11,12],[6],[8]]=>10001010100 [[1,3,4,5,8],[2,7,10,11,12],[6],[9]]=>10001001000 [[1,3,4,5,11],[2,8,9,10,12],[6],[7]]=>10001100001 [[1,3,4,5,10],[2,8,9,11,12],[6],[7]]=>10001100010 [[1,3,4,5,9],[2,8,10,11,12],[6],[7]]=>10001100100 [[1,3,4,5,8],[2,9,10,11,12],[6],[7]]=>10001101000 [[1,3,4,5,7],[2,9,10,11,12],[6],[8]]=>10001010000 [[1,3,4,5,6],[2,8,9,10,11],[7],[12]]=>10000100001 [[1,3,4,5,6],[2,8,9,10,12],[7],[11]]=>10000100010 [[1,3,4,5,6],[2,8,9,11,12],[7],[10]]=>10000100100 [[1,3,4,5,6],[2,8,10,11,12],[7],[9]]=>10000101000 [[1,3,4,5,6],[2,9,10,11,12],[7],[8]]=>10000110000 [[1,3,4,5,6,7],[2,9,10,11,12],[8]]=>10000010000 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]]=>000010001001 [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]]=>000010001010 [[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]]=>000010001011 [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]]=>000010010010 [[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]]=>000010010011 [[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]]=>000010010101 [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]]=>000100010010 [[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]]=>000100010011 [[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]]=>000100010101 [[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]]=>000100100101 [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]=>100100010000 [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]=>010100010000 [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]=>110100010000 [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]=>010010010000 [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]=>110010010000 [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]=>101010010000 [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>010010001000 [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]=>110010001000 [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]=>101010001000 [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]=>101001001000 [[1,6,10,13],[2,7,11],[3,8,12],[4,9],[5]]=>111101110110 [[1,5,9,12],[2,6,10,13],[3,7,11],[4,8]]=>111011101101 [[1,5,8,11,13],[2,6,9,12],[3,7,10],[4]]=>111011011010 [[1,5,9,11,13],[2,6,10,12],[3,7],[4,8]]=>111011101010 [[1,6,9,11,13],[2,7,10,12],[3,8],[4],[5]]=>111101101010 [[1,5,9,12,13],[2,6,10],[3,7,11],[4,8]]=>111011101100 [[1,6,9,12,13],[2,7,10],[3,8,11],[4],[5]]=>111101101100 [[1,6,10,12,13],[2,7,11],[3,8],[4,9],[5]]=>111101110100 [[1,6,9,12],[2,7,10,13],[3,8,11],[4],[5]]=>111101101101 [[1,6,10,12],[2,7,11,13],[3,8],[4,9],[5]]=>111101110101 [[1,2,5,9],[3,6,10],[4,7,11],[8,12],[13]]=>011011101111 [[1,3,6,10],[2,4,7,11],[5,8,12],[9,13]]=>101101110111 [[1,2,4,7,10],[3,5,8,11],[6,9,12],[13]]=>010110110111 [[1,2,4,6,10],[3,5,7,11],[8,12],[9,13]]=>010101110111 [[1,2,4,6,9],[3,5,7,10],[8,11],[12],[13]]=>010101101111 [[1,2,3,6,10],[4,7,11],[5,8,12],[9,13]]=>001101110111 [[1,2,3,6,9],[4,7,10],[5,8,11],[12],[13]]=>001101101111 [[1,2,3,5,9],[4,6,10],[7,11],[8,12],[13]]=>001011101111 [[1,3,6,9],[2,4,7,10],[5,8,11],[12],[13]]=>101101101111 [[1,3,5,9],[2,4,6,10],[7,11],[8,12],[13]]=>101011101111 [[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]]=>1010101010101 [[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]]=>1010101010010 [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]=>1010101001001 [[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]]=>1010101001010 [[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]]=>1010101000100 [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]=>1010100100101 [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]=>1010100100010 [[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]]=>1010100101001 [[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]]=>1010100101010 [[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]]=>1010100100100 [[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]]=>1010100010001 [[1,3,5,7,8,9,12],[2,4,6,10,11,13,14]]=>1010100010010 [[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]]=>1010100010100 [[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]]=>1010100001000 [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]=>1010010010101 [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]=>1010010010010 [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]=>1010010001001 [[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]]=>1010010001010 [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]]=>1010010000100 [[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]]=>1010010100101 [[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]]=>1010010100010 [[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]]=>1010010101001 [[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]]=>1010010101010 [[1,3,5,6,8,10,11],[2,4,7,9,12,13,14]]=>1010010100100 [[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]]=>1010010010001 [[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]]=>1010010010010 [[1,3,5,6,8,9,11],[2,4,7,10,12,13,14]]=>1010010010100 [[1,3,5,6,8,9,10],[2,4,7,11,12,13,14]]=>1010010001000 [[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]]=>1010001000101 [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]]=>1010001000010 [[1,3,5,6,7,10,13],[2,4,8,9,11,12,14]]=>1010001001001 [[1,3,5,6,7,10,12],[2,4,8,9,11,13,14]]=>1010001001010 [[1,3,5,6,7,10,11],[2,4,8,9,12,13,14]]=>1010001000100 [[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]]=>1010001010001 [[1,3,5,6,7,9,12],[2,4,8,10,11,13,14]]=>1010001010010 [[1,3,5,6,7,9,11],[2,4,8,10,12,13,14]]=>1010001010100 [[1,3,5,6,7,9,10],[2,4,8,11,12,13,14]]=>1010001001000 [[1,3,5,6,7,8,13],[2,4,9,10,11,12,14]]=>1010000100001 [[1,3,5,6,7,8,12],[2,4,9,10,11,13,14]]=>1010000100010 [[1,3,5,6,7,8,11],[2,4,9,10,12,13,14]]=>1010000100100 [[1,3,5,6,7,8,10],[2,4,9,11,12,13,14]]=>1010000101000 [[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]]=>1010000010000 [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]=>1001001010101 [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]=>1001001010010 [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]=>1001001001001 [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]=>1001001001010 [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]]=>1001001000100 [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]=>1001000100101 [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]=>1001000100010 [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]=>1001000101001 [[1,3,4,7,8,10,12],[2,5,6,9,11,13,14]]=>1001000101010 [[1,3,4,7,8,10,11],[2,5,6,9,12,13,14]]=>1001000100100 [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]]=>1001000010001 [[1,3,4,7,8,9,12],[2,5,6,10,11,13,14]]=>1001000010010 [[1,3,4,7,8,9,11],[2,5,6,10,12,13,14]]=>1001000010100 [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]]=>1001000001000 [[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]]=>1001010010101 [[1,3,4,6,9,11,12],[2,5,7,8,10,13,14]]=>1001010010010 [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]=>1001010001001 [[1,3,4,6,9,10,12],[2,5,7,8,11,13,14]]=>1001010001010 [[1,3,4,6,9,10,11],[2,5,7,8,12,13,14]]=>1001010000100 [[1,3,4,6,8,11,13],[2,5,7,9,10,12,14]]=>1001010100101 [[1,3,4,6,8,11,12],[2,5,7,9,10,13,14]]=>1001010100010 [[1,3,4,6,8,10,13],[2,5,7,9,11,12,14]]=>1001010101001 [[1,3,4,6,8,10,12],[2,5,7,9,11,13,14]]=>1001010101010 [[1,3,4,6,8,10,11],[2,5,7,9,12,13,14]]=>1001010100100 [[1,3,4,6,8,9,13],[2,5,7,10,11,12,14]]=>1001010010001 [[1,3,4,6,8,9,12],[2,5,7,10,11,13,14]]=>1001010010010 [[1,3,4,6,8,9,11],[2,5,7,10,12,13,14]]=>1001010010100 [[1,3,4,6,8,9,10],[2,5,7,11,12,13,14]]=>1001010001000 [[1,3,4,6,7,11,13],[2,5,8,9,10,12,14]]=>1001001000101 [[1,3,4,6,7,11,12],[2,5,8,9,10,13,14]]=>1001001000010 [[1,3,4,6,7,10,13],[2,5,8,9,11,12,14]]=>1001001001001 [[1,3,4,6,7,10,12],[2,5,8,9,11,13,14]]=>1001001001010 [[1,3,4,6,7,10,11],[2,5,8,9,12,13,14]]=>1001001000100 [[1,3,4,6,7,9,13],[2,5,8,10,11,12,14]]=>1001001010001 [[1,3,4,6,7,9,12],[2,5,8,10,11,13,14]]=>1001001010010 [[1,3,4,6,7,9,11],[2,5,8,10,12,13,14]]=>1001001010100 [[1,3,4,6,7,9,10],[2,5,8,11,12,13,14]]=>1001001001000 [[1,3,4,6,7,8,13],[2,5,9,10,11,12,14]]=>1001000100001 [[1,3,4,6,7,8,12],[2,5,9,10,11,13,14]]=>1001000100010 [[1,3,4,6,7,8,11],[2,5,9,10,12,13,14]]=>1001000100100 [[1,3,4,6,7,8,10],[2,5,9,11,12,13,14]]=>1001000101000 [[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]=>1001000010000 [[1,3,4,5,9,11,13],[2,6,7,8,10,12,14]]=>1000100010101 [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]]=>1000100010010 [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]]=>1000100001001 [[1,3,4,5,9,10,12],[2,6,7,8,11,13,14]]=>1000100001010 [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]]=>1000100000100 [[1,3,4,5,8,11,13],[2,6,7,9,10,12,14]]=>1000100100101 [[1,3,4,5,8,11,12],[2,6,7,9,10,13,14]]=>1000100100010 [[1,3,4,5,8,10,13],[2,6,7,9,11,12,14]]=>1000100101001 [[1,3,4,5,8,10,12],[2,6,7,9,11,13,14]]=>1000100101010 [[1,3,4,5,8,10,11],[2,6,7,9,12,13,14]]=>1000100100100 [[1,3,4,5,8,9,13],[2,6,7,10,11,12,14]]=>1000100010001 [[1,3,4,5,8,9,12],[2,6,7,10,11,13,14]]=>1000100010010 [[1,3,4,5,8,9,11],[2,6,7,10,12,13,14]]=>1000100010100 [[1,3,4,5,8,9,10],[2,6,7,11,12,13,14]]=>1000100001000 [[1,3,4,5,7,11,13],[2,6,8,9,10,12,14]]=>1000101000101 [[1,3,4,5,7,11,12],[2,6,8,9,10,13,14]]=>1000101000010 [[1,3,4,5,7,10,13],[2,6,8,9,11,12,14]]=>1000101001001 [[1,3,4,5,7,10,12],[2,6,8,9,11,13,14]]=>1000101001010 [[1,3,4,5,7,10,11],[2,6,8,9,12,13,14]]=>1000101000100 [[1,3,4,5,7,9,13],[2,6,8,10,11,12,14]]=>1000101010001 [[1,3,4,5,7,9,12],[2,6,8,10,11,13,14]]=>1000101010010 [[1,3,4,5,7,9,11],[2,6,8,10,12,13,14]]=>1000101010100 [[1,3,4,5,7,9,10],[2,6,8,11,12,13,14]]=>1000101001000 [[1,3,4,5,7,8,13],[2,6,9,10,11,12,14]]=>1000100100001 [[1,3,4,5,7,8,12],[2,6,9,10,11,13,14]]=>1000100100010 [[1,3,4,5,7,8,11],[2,6,9,10,12,13,14]]=>1000100100100 [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]=>1000100101000 [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]=>1000100010000 [[1,3,4,5,6,11,13],[2,7,8,9,10,12,14]]=>1000010000101 [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]]=>1000010000010 [[1,3,4,5,6,10,13],[2,7,8,9,11,12,14]]=>1000010001001 [[1,3,4,5,6,10,12],[2,7,8,9,11,13,14]]=>1000010001010 [[1,3,4,5,6,10,11],[2,7,8,9,12,13,14]]=>1000010000100 [[1,3,4,5,6,9,13],[2,7,8,10,11,12,14]]=>1000010010001 [[1,3,4,5,6,9,12],[2,7,8,10,11,13,14]]=>1000010010010 [[1,3,4,5,6,9,11],[2,7,8,10,12,13,14]]=>1000010010100 [[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]=>1000010001000 [[1,3,4,5,6,8,13],[2,7,9,10,11,12,14]]=>1000010100001 [[1,3,4,5,6,8,12],[2,7,9,10,11,13,14]]=>1000010100010 [[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]=>1000010100100 [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]=>1000010101000 [[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]=>1000010010000 [[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]]=>1000001000001 [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]=>1000001000010 [[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]=>1000001000100 [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]=>1000001001000 [[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]=>1000001010000 [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]=>1000000100000 [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]=>0100101010101 [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]=>0100101010010 [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]=>0100101001001 [[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]]=>0100101001010 [[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]]=>0100101000100 [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]=>0100100100101 [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]=>0100100100010 [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]=>0100100101001 [[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]]=>0100100101010 [[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]]=>0100100100100 [[1,2,5,7,8,9,13],[3,4,6,10,11,12,14]]=>0100100010001 [[1,2,5,7,8,9,12],[3,4,6,10,11,13,14]]=>0100100010010 [[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]]=>0100100010100 [[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]]=>0100100001000 [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]=>0100010010101 [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]=>0100010010010 [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]=>0100010001001 [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]=>0100010001010 [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]]=>0100010000100 [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]=>0100010100101 [[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]]=>0100010100010 [[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]]=>0100010101001 [[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]]=>0100010101010 [[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]]=>0100010100100 [[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]]=>0100010010001 [[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]]=>0100010010010 [[1,2,5,6,8,9,10],[3,4,7,11,12,13,14]]=>0100010001000 [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]]=>0100001000101 [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]]=>0100001000010 [[1,2,5,6,7,10,13],[3,4,8,9,11,12,14]]=>0100001001001 [[1,2,5,6,7,10,12],[3,4,8,9,11,13,14]]=>0100001001010 [[1,2,5,6,7,10,11],[3,4,8,9,12,13,14]]=>0100001000100 [[1,2,5,6,7,9,13],[3,4,8,10,11,12,14]]=>0100001010001 [[1,2,5,6,7,9,12],[3,4,8,10,11,13,14]]=>0100001010010 [[1,2,5,6,7,9,11],[3,4,8,10,12,13,14]]=>0100001010100 [[1,2,5,6,7,9,10],[3,4,8,11,12,13,14]]=>0100001001000 [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]]=>0100000100001 [[1,2,5,6,7,8,12],[3,4,9,10,11,13,14]]=>0100000100010 [[1,2,5,6,7,8,11],[3,4,9,10,12,13,14]]=>0100000100100 [[1,2,5,6,7,8,10],[3,4,9,11,12,13,14]]=>0100000101000 [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]=>0100000010000 [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]=>0101001010101 [[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]]=>0101001010010 [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]=>0101001001001 [[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]]=>0101001001010 [[1,2,4,7,9,10,11],[3,5,6,8,12,13,14]]=>0101001000100 [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]=>0101000100101 [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]=>0101000100010 [[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]]=>0101000101001 [[1,2,4,7,8,10,12],[3,5,6,9,11,13,14]]=>0101000101010 [[1,2,4,7,8,10,11],[3,5,6,9,12,13,14]]=>0101000100100 [[1,2,4,7,8,9,13],[3,5,6,10,11,12,14]]=>0101000010001 [[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]]=>0101000010010 [[1,2,4,7,8,9,11],[3,5,6,10,12,13,14]]=>0101000010100 [[1,2,4,7,8,9,10],[3,5,6,11,12,13,14]]=>0101000001000 [[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]]=>0101010010101 [[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]]=>0101010010010 [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]=>0101010001001 [[1,2,4,6,9,10,12],[3,5,7,8,11,13,14]]=>0101010001010 [[1,2,4,6,9,10,11],[3,5,7,8,12,13,14]]=>0101010000100 [[1,2,4,6,8,11,13],[3,5,7,9,10,12,14]]=>0101010100101 [[1,2,4,6,8,11,12],[3,5,7,9,10,13,14]]=>0101010100010 [[1,2,4,6,8,10,13],[3,5,7,9,11,12,14]]=>0101010101001 [[1,2,4,6,8,10,12],[3,5,7,9,11,13,14]]=>0101010101010 [[1,2,4,6,8,10,11],[3,5,7,9,12,13,14]]=>0101010100100 [[1,2,4,6,8,9,13],[3,5,7,10,11,12,14]]=>0101010010001 [[1,2,4,6,8,9,12],[3,5,7,10,11,13,14]]=>0101010010010 [[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]]=>0101010010100 [[1,2,4,6,8,9,10],[3,5,7,11,12,13,14]]=>0101010001000 [[1,2,4,6,7,11,13],[3,5,8,9,10,12,14]]=>0101001000101 [[1,2,4,6,7,11,12],[3,5,8,9,10,13,14]]=>0101001000010 [[1,2,4,6,7,10,13],[3,5,8,9,11,12,14]]=>0101001001001 [[1,2,4,6,7,10,12],[3,5,8,9,11,13,14]]=>0101001001010 [[1,2,4,6,7,10,11],[3,5,8,9,12,13,14]]=>0101001000100 [[1,2,4,6,7,9,13],[3,5,8,10,11,12,14]]=>0101001010001 [[1,2,4,6,7,9,12],[3,5,8,10,11,13,14]]=>0101001010010 [[1,2,4,6,7,9,11],[3,5,8,10,12,13,14]]=>0101001010100 [[1,2,4,6,7,9,10],[3,5,8,11,12,13,14]]=>0101001001000 [[1,2,4,6,7,8,13],[3,5,9,10,11,12,14]]=>0101000100001 [[1,2,4,6,7,8,12],[3,5,9,10,11,13,14]]=>0101000100010 [[1,2,4,6,7,8,11],[3,5,9,10,12,13,14]]=>0101000100100 [[1,2,4,6,7,8,10],[3,5,9,11,12,13,14]]=>0101000101000 [[1,2,4,6,7,8,9],[3,5,10,11,12,13,14]]=>0101000010000 [[1,2,4,5,9,11,13],[3,6,7,8,10,12,14]]=>0100100010101 [[1,2,4,5,9,11,12],[3,6,7,8,10,13,14]]=>0100100010010 [[1,2,4,5,9,10,13],[3,6,7,8,11,12,14]]=>0100100001001 [[1,2,4,5,9,10,12],[3,6,7,8,11,13,14]]=>0100100001010 [[1,2,4,5,9,10,11],[3,6,7,8,12,13,14]]=>0100100000100 [[1,2,4,5,8,11,13],[3,6,7,9,10,12,14]]=>0100100100101 [[1,2,4,5,8,11,12],[3,6,7,9,10,13,14]]=>0100100100010 [[1,2,4,5,8,10,13],[3,6,7,9,11,12,14]]=>0100100101001 [[1,2,4,5,8,10,12],[3,6,7,9,11,13,14]]=>0100100101010 [[1,2,4,5,8,10,11],[3,6,7,9,12,13,14]]=>0100100100100 [[1,2,4,5,8,9,13],[3,6,7,10,11,12,14]]=>0100100010001 [[1,2,4,5,8,9,12],[3,6,7,10,11,13,14]]=>0100100010010 [[1,2,4,5,8,9,11],[3,6,7,10,12,13,14]]=>0100100010100 [[1,2,4,5,8,9,10],[3,6,7,11,12,13,14]]=>0100100001000 [[1,2,4,5,7,11,13],[3,6,8,9,10,12,14]]=>0100101000101 [[1,2,4,5,7,11,12],[3,6,8,9,10,13,14]]=>0100101000010 [[1,2,4,5,7,10,13],[3,6,8,9,11,12,14]]=>0100101001001 [[1,2,4,5,7,10,12],[3,6,8,9,11,13,14]]=>0100101001010 [[1,2,4,5,7,10,11],[3,6,8,9,12,13,14]]=>0100101000100 [[1,2,4,5,7,9,13],[3,6,8,10,11,12,14]]=>0100101010001 [[1,2,4,5,7,9,12],[3,6,8,10,11,13,14]]=>0100101010010 [[1,2,4,5,7,9,11],[3,6,8,10,12,13,14]]=>0100101010100 [[1,2,4,5,7,9,10],[3,6,8,11,12,13,14]]=>0100101001000 [[1,2,4,5,7,8,13],[3,6,9,10,11,12,14]]=>0100100100001 [[1,2,4,5,7,8,12],[3,6,9,10,11,13,14]]=>0100100100010 [[1,2,4,5,7,8,11],[3,6,9,10,12,13,14]]=>0100100100100 [[1,2,4,5,7,8,10],[3,6,9,11,12,13,14]]=>0100100101000 [[1,2,4,5,7,8,9],[3,6,10,11,12,13,14]]=>0100100010000 [[1,2,4,5,6,11,13],[3,7,8,9,10,12,14]]=>0100010000101 [[1,2,4,5,6,11,12],[3,7,8,9,10,13,14]]=>0100010000010 [[1,2,4,5,6,10,13],[3,7,8,9,11,12,14]]=>0100010001001 [[1,2,4,5,6,10,12],[3,7,8,9,11,13,14]]=>0100010001010 [[1,2,4,5,6,10,11],[3,7,8,9,12,13,14]]=>0100010000100 [[1,2,4,5,6,9,13],[3,7,8,10,11,12,14]]=>0100010010001 [[1,2,4,5,6,9,12],[3,7,8,10,11,13,14]]=>0100010010010 [[1,2,4,5,6,9,11],[3,7,8,10,12,13,14]]=>0100010010100 [[1,2,4,5,6,9,10],[3,7,8,11,12,13,14]]=>0100010001000 [[1,2,4,5,6,8,13],[3,7,9,10,11,12,14]]=>0100010100001 [[1,2,4,5,6,8,12],[3,7,9,10,11,13,14]]=>0100010100010 [[1,2,4,5,6,8,11],[3,7,9,10,12,13,14]]=>0100010100100 [[1,2,4,5,6,8,10],[3,7,9,11,12,13,14]]=>0100010101000 [[1,2,4,5,6,8,9],[3,7,10,11,12,13,14]]=>0100010010000 [[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]=>0100001000001 [[1,2,4,5,6,7,12],[3,8,9,10,11,13,14]]=>0100001000010 [[1,2,4,5,6,7,11],[3,8,9,10,12,13,14]]=>0100001000100 [[1,2,4,5,6,7,10],[3,8,9,11,12,13,14]]=>0100001001000 [[1,2,4,5,6,7,9],[3,8,10,11,12,13,14]]=>0100001010000 [[1,2,4,5,6,7,8],[3,9,10,11,12,13,14]]=>0100000100000 [[1,2,3,7,9,11,13],[4,5,6,8,10,12,14]]=>0010001010101 [[1,2,3,7,9,11,12],[4,5,6,8,10,13,14]]=>0010001010010 [[1,2,3,7,9,10,13],[4,5,6,8,11,12,14]]=>0010001001001 [[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]]=>0010001001010 [[1,2,3,7,9,10,11],[4,5,6,8,12,13,14]]=>0010001000100 [[1,2,3,7,8,11,13],[4,5,6,9,10,12,14]]=>0010000100101 [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]]=>0010000100010 [[1,2,3,7,8,10,13],[4,5,6,9,11,12,14]]=>0010000101001 [[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]]=>0010000101010 [[1,2,3,7,8,10,11],[4,5,6,9,12,13,14]]=>0010000100100 [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]]=>0010000010001 [[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]]=>0010000010010 [[1,2,3,7,8,9,11],[4,5,6,10,12,13,14]]=>0010000010100 [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]]=>0010000001000 [[1,2,3,6,9,11,13],[4,5,7,8,10,12,14]]=>0010010010101 [[1,2,3,6,9,11,12],[4,5,7,8,10,13,14]]=>0010010010010 [[1,2,3,6,9,10,13],[4,5,7,8,11,12,14]]=>0010010001001 [[1,2,3,6,9,10,12],[4,5,7,8,11,13,14]]=>0010010001010 [[1,2,3,6,9,10,11],[4,5,7,8,12,13,14]]=>0010010000100 [[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]]=>0010010100101 [[1,2,3,6,8,11,12],[4,5,7,9,10,13,14]]=>0010010100010 [[1,2,3,6,8,10,13],[4,5,7,9,11,12,14]]=>0010010101001 [[1,2,3,6,8,10,12],[4,5,7,9,11,13,14]]=>0010010101010 [[1,2,3,6,8,10,11],[4,5,7,9,12,13,14]]=>0010010100100 [[1,2,3,6,8,9,13],[4,5,7,10,11,12,14]]=>0010010010001 [[1,2,3,6,8,9,12],[4,5,7,10,11,13,14]]=>0010010010010 [[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]]=>0010010010100 [[1,2,3,6,8,9,10],[4,5,7,11,12,13,14]]=>0010010001000 [[1,2,3,6,7,11,13],[4,5,8,9,10,12,14]]=>0010001000101 [[1,2,3,6,7,11,12],[4,5,8,9,10,13,14]]=>0010001000010 [[1,2,3,6,7,10,13],[4,5,8,9,11,12,14]]=>0010001001001 [[1,2,3,6,7,10,12],[4,5,8,9,11,13,14]]=>0010001001010 [[1,2,3,6,7,10,11],[4,5,8,9,12,13,14]]=>0010001000100 [[1,2,3,6,7,9,13],[4,5,8,10,11,12,14]]=>0010001010001 [[1,2,3,6,7,9,12],[4,5,8,10,11,13,14]]=>0010001010010 [[1,2,3,6,7,9,11],[4,5,8,10,12,13,14]]=>0010001010100 [[1,2,3,6,7,9,10],[4,5,8,11,12,13,14]]=>0010001001000 [[1,2,3,6,7,8,13],[4,5,9,10,11,12,14]]=>0010000100001 [[1,2,3,6,7,8,12],[4,5,9,10,11,13,14]]=>0010000100010 [[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]]=>0010000100100 [[1,2,3,6,7,8,10],[4,5,9,11,12,13,14]]=>0010000101000 [[1,2,3,6,7,8,9],[4,5,10,11,12,13,14]]=>0010000010000 [[1,2,3,5,9,11,13],[4,6,7,8,10,12,14]]=>0010100010101 [[1,2,3,5,9,11,12],[4,6,7,8,10,13,14]]=>0010100010010 [[1,2,3,5,9,10,13],[4,6,7,8,11,12,14]]=>0010100001001 [[1,2,3,5,9,10,12],[4,6,7,8,11,13,14]]=>0010100001010 [[1,2,3,5,9,10,11],[4,6,7,8,12,13,14]]=>0010100000100 [[1,2,3,5,8,11,13],[4,6,7,9,10,12,14]]=>0010100100101 [[1,2,3,5,8,11,12],[4,6,7,9,10,13,14]]=>0010100100010 [[1,2,3,5,8,10,13],[4,6,7,9,11,12,14]]=>0010100101001 [[1,2,3,5,8,10,12],[4,6,7,9,11,13,14]]=>0010100101010 [[1,2,3,5,8,10,11],[4,6,7,9,12,13,14]]=>0010100100100 [[1,2,3,5,8,9,13],[4,6,7,10,11,12,14]]=>0010100010001 [[1,2,3,5,8,9,12],[4,6,7,10,11,13,14]]=>0010100010010 [[1,2,3,5,8,9,11],[4,6,7,10,12,13,14]]=>0010100010100 [[1,2,3,5,8,9,10],[4,6,7,11,12,13,14]]=>0010100001000 [[1,2,3,5,7,11,13],[4,6,8,9,10,12,14]]=>0010101000101 [[1,2,3,5,7,11,12],[4,6,8,9,10,13,14]]=>0010101000010 [[1,2,3,5,7,10,13],[4,6,8,9,11,12,14]]=>0010101001001 [[1,2,3,5,7,10,12],[4,6,8,9,11,13,14]]=>0010101001010 [[1,2,3,5,7,10,11],[4,6,8,9,12,13,14]]=>0010101000100 [[1,2,3,5,7,9,13],[4,6,8,10,11,12,14]]=>0010101010001 [[1,2,3,5,7,9,12],[4,6,8,10,11,13,14]]=>0010101010010 [[1,2,3,5,7,9,11],[4,6,8,10,12,13,14]]=>0010101010100 [[1,2,3,5,7,9,10],[4,6,8,11,12,13,14]]=>0010101001000 [[1,2,3,5,7,8,13],[4,6,9,10,11,12,14]]=>0010100100001 [[1,2,3,5,7,8,12],[4,6,9,10,11,13,14]]=>0010100100010 [[1,2,3,5,7,8,11],[4,6,9,10,12,13,14]]=>0010100100100 [[1,2,3,5,7,8,10],[4,6,9,11,12,13,14]]=>0010100101000 [[1,2,3,5,7,8,9],[4,6,10,11,12,13,14]]=>0010100010000 [[1,2,3,5,6,11,13],[4,7,8,9,10,12,14]]=>0010010000101 [[1,2,3,5,6,11,12],[4,7,8,9,10,13,14]]=>0010010000010 [[1,2,3,5,6,10,13],[4,7,8,9,11,12,14]]=>0010010001001 [[1,2,3,5,6,10,12],[4,7,8,9,11,13,14]]=>0010010001010 [[1,2,3,5,6,10,11],[4,7,8,9,12,13,14]]=>0010010000100 [[1,2,3,5,6,9,13],[4,7,8,10,11,12,14]]=>0010010010001 [[1,2,3,5,6,9,12],[4,7,8,10,11,13,14]]=>0010010010010 [[1,2,3,5,6,9,11],[4,7,8,10,12,13,14]]=>0010010010100 [[1,2,3,5,6,9,10],[4,7,8,11,12,13,14]]=>0010010001000 [[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]=>0010010100001 [[1,2,3,5,6,8,12],[4,7,9,10,11,13,14]]=>0010010100010 [[1,2,3,5,6,8,11],[4,7,9,10,12,13,14]]=>0010010100100 [[1,2,3,5,6,8,10],[4,7,9,11,12,13,14]]=>0010010101000 [[1,2,3,5,6,8,9],[4,7,10,11,12,13,14]]=>0010010010000 [[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]=>0010001000001 [[1,2,3,5,6,7,12],[4,8,9,10,11,13,14]]=>0010001000010 [[1,2,3,5,6,7,11],[4,8,9,10,12,13,14]]=>0010001000100 [[1,2,3,5,6,7,10],[4,8,9,11,12,13,14]]=>0010001001000 [[1,2,3,5,6,7,9],[4,8,10,11,12,13,14]]=>0010001010000 [[1,2,3,5,6,7,8],[4,9,10,11,12,13,14]]=>0010000100000 [[1,2,3,4,9,11,13],[5,6,7,8,10,12,14]]=>0001000010101 [[1,2,3,4,9,11,12],[5,6,7,8,10,13,14]]=>0001000010010 [[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]]=>0001000001001 [[1,2,3,4,9,10,12],[5,6,7,8,11,13,14]]=>0001000001010 [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]]=>0001000000100 [[1,2,3,4,8,11,13],[5,6,7,9,10,12,14]]=>0001000100101 [[1,2,3,4,8,11,12],[5,6,7,9,10,13,14]]=>0001000100010 [[1,2,3,4,8,10,13],[5,6,7,9,11,12,14]]=>0001000101001 [[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]]=>0001000101010 [[1,2,3,4,8,10,11],[5,6,7,9,12,13,14]]=>0001000100100 [[1,2,3,4,8,9,13],[5,6,7,10,11,12,14]]=>0001000010001 [[1,2,3,4,8,9,12],[5,6,7,10,11,13,14]]=>0001000010010 [[1,2,3,4,8,9,11],[5,6,7,10,12,13,14]]=>0001000010100 [[1,2,3,4,8,9,10],[5,6,7,11,12,13,14]]=>0001000001000 [[1,2,3,4,7,11,13],[5,6,8,9,10,12,14]]=>0001001000101 [[1,2,3,4,7,11,12],[5,6,8,9,10,13,14]]=>0001001000010 [[1,2,3,4,7,10,13],[5,6,8,9,11,12,14]]=>0001001001001 [[1,2,3,4,7,10,12],[5,6,8,9,11,13,14]]=>0001001001010 [[1,2,3,4,7,10,11],[5,6,8,9,12,13,14]]=>0001001000100 [[1,2,3,4,7,9,13],[5,6,8,10,11,12,14]]=>0001001010001 [[1,2,3,4,7,9,12],[5,6,8,10,11,13,14]]=>0001001010010 [[1,2,3,4,7,9,11],[5,6,8,10,12,13,14]]=>0001001010100 [[1,2,3,4,7,9,10],[5,6,8,11,12,13,14]]=>0001001001000 [[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]=>0001000100001 [[1,2,3,4,7,8,12],[5,6,9,10,11,13,14]]=>0001000100010 [[1,2,3,4,7,8,11],[5,6,9,10,12,13,14]]=>0001000100100 [[1,2,3,4,7,8,10],[5,6,9,11,12,13,14]]=>0001000101000 [[1,2,3,4,7,8,9],[5,6,10,11,12,13,14]]=>0001000010000 [[1,2,3,4,6,11,13],[5,7,8,9,10,12,14]]=>0001010000101 [[1,2,3,4,6,11,12],[5,7,8,9,10,13,14]]=>0001010000010 [[1,2,3,4,6,10,13],[5,7,8,9,11,12,14]]=>0001010001001 [[1,2,3,4,6,10,12],[5,7,8,9,11,13,14]]=>0001010001010 [[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]]=>0001010000100 [[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]=>0001010010001 [[1,2,3,4,6,9,12],[5,7,8,10,11,13,14]]=>0001010010010 [[1,2,3,4,6,9,11],[5,7,8,10,12,13,14]]=>0001010010100 [[1,2,3,4,6,9,10],[5,7,8,11,12,13,14]]=>0001010001000 [[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]=>0001010100001 [[1,2,3,4,6,8,12],[5,7,9,10,11,13,14]]=>0001010100010 [[1,2,3,4,6,8,11],[5,7,9,10,12,13,14]]=>0001010100100 [[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]]=>0001010101000 [[1,2,3,4,6,8,9],[5,7,10,11,12,13,14]]=>0001010010000 [[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]=>0001001000001 [[1,2,3,4,6,7,12],[5,8,9,10,11,13,14]]=>0001001000010 [[1,2,3,4,6,7,11],[5,8,9,10,12,13,14]]=>0001001000100 [[1,2,3,4,6,7,10],[5,8,9,11,12,13,14]]=>0001001001000 [[1,2,3,4,6,7,9],[5,8,10,11,12,13,14]]=>0001001010000 [[1,2,3,4,6,7,8],[5,9,10,11,12,13,14]]=>0001000100000 [[1,2,3,4,5,11,13],[6,7,8,9,10,12,14]]=>0000100000101 [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]=>0000100000010 [[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]=>0000100001001 [[1,2,3,4,5,10,12],[6,7,8,9,11,13,14]]=>0000100001010 [[1,2,3,4,5,10,11],[6,7,8,9,12,13,14]]=>0000100000100 [[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]=>0000100010001 [[1,2,3,4,5,9,12],[6,7,8,10,11,13,14]]=>0000100010010 [[1,2,3,4,5,9,11],[6,7,8,10,12,13,14]]=>0000100010100 [[1,2,3,4,5,9,10],[6,7,8,11,12,13,14]]=>0000100001000 [[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]=>0000100100001 [[1,2,3,4,5,8,12],[6,7,9,10,11,13,14]]=>0000100100010 [[1,2,3,4,5,8,11],[6,7,9,10,12,13,14]]=>0000100100100 [[1,2,3,4,5,8,10],[6,7,9,11,12,13,14]]=>0000100101000 [[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]]=>0000100010000 [[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]=>0000101000001 [[1,2,3,4,5,7,12],[6,8,9,10,11,13,14]]=>0000101000010 [[1,2,3,4,5,7,11],[6,8,9,10,12,13,14]]=>0000101000100 [[1,2,3,4,5,7,10],[6,8,9,11,12,13,14]]=>0000101001000 [[1,2,3,4,5,7,9],[6,8,10,11,12,13,14]]=>0000101010000 [[1,2,3,4,5,7,8],[6,9,10,11,12,13,14]]=>0000100100000 [[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]=>0000010000001 [[1,2,3,4,5,6,12],[7,8,9,10,11,13,14]]=>0000010000010 [[1,2,3,4,5,6,11],[7,8,9,10,12,13,14]]=>0000010000100 [[1,2,3,4,5,6,10],[7,8,9,11,12,13,14]]=>0000010001000 [[1,2,3,4,5,6,9],[7,8,10,11,12,13,14]]=>0000010010000 [[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]]=>0000010100000 [[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]]=>0000001000000 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]]=>0000100010010 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]]=>0000100010011 [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]]=>0000100010101 [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]]=>0000100100101 [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]]=>0001000100101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]]=>0101010101010 [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]=>0100100010000 [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]=>1100100010000 [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]=>1010100010000 [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]=>1010010010000 [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]=>1010010001000 [[1,6,10,13],[2,7,11,14],[3,8,12],[4,9],[5]]=>1111011101101 [[1,5,9,12,14],[2,6,10,13],[3,7,11],[4,8]]=>1110111011010 [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,14]]=>1111101111110 [[1,2],[3,9],[4,10],[5,11],[6,12],[7,13],[8,14]]=>0111111011111 [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12],[13,14]]=>1111010111110 [[1,2],[3,8],[4,10],[5,11],[6,12],[7,13],[9,14]]=>0111110101111 [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12],[13,14]]=>1111011011110 [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12],[13,14]]=>1110110111110 [[1,2],[3,8],[4,9],[5,11],[6,12],[7,13],[10,14]]=>0111110110111 [[1,2],[3,7],[4,10],[5,11],[6,12],[8,13],[9,14]]=>0111101101111 [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12],[13,14]]=>1111011101110 [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12],[13,14]]=>1110101011110 [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12],[13,14]]=>1101110111110 [[1,2],[3,8],[4,9],[5,10],[6,12],[7,13],[11,14]]=>0111110111011 [[1,2],[3,7],[4,9],[5,11],[6,12],[8,13],[10,14]]=>0111101010111 [[1,2],[3,6],[4,10],[5,11],[7,12],[8,13],[9,14]]=>0111011101111 [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12],[13,14]]=>1111011110110 [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12],[13,14]]=>1110101101110 [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12],[13,14]]=>1110111011110 [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12],[13,14]]=>1101101011110 [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12],[13,14]]=>1011110111110 [[1,6],[2,7],[3,8],[4,9],[5,10],[11,13],[12,14]]=>1111011111101 [[1,2],[3,8],[4,9],[5,10],[6,11],[7,13],[12,14]]=>0111110111101 [[1,2],[3,7],[4,9],[5,10],[6,12],[8,13],[11,14]]=>0111101011011 [[1,2],[3,7],[4,8],[5,11],[6,12],[9,13],[10,14]]=>0111101110111 [[1,2],[3,6],[4,9],[5,11],[7,12],[8,13],[10,14]]=>0111011010111 [[1,3],[2,4],[5,10],[6,11],[7,12],[8,13],[9,14]]=>1011111101111 [[1,2],[3,5],[4,10],[6,11],[7,12],[8,13],[9,14]]=>0110111101111 [[1,6,9,12,14],[2,7,10,13],[3,8,11],[4],[5]]=>1111011011010 [[1,6,10,12,14],[2,7,11,13],[3,8],[4,9],[5]]=>1111011101010 [[1,6,10,13,14],[2,7,11],[3,8,12],[4,9],[5]]=>1111011101100 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14]]=>1010101010101 [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14]]=>1010101011011 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,13],[12,14]]=>1010101101101 [[1,3],[2,5],[4,7],[6,10],[8,12],[9,13],[11,14]]=>1010101101011 [[1,3],[2,5],[4,7],[6,11],[8,12],[9,13],[10,14]]=>1010101110111 [[1,3],[2,5],[4,8],[6,9],[7,11],[10,13],[12,14]]=>1010110110101 [[1,3],[2,5],[4,8],[6,9],[7,12],[10,13],[11,14]]=>1010110111011 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,13],[12,14]]=>1010110101101 [[1,3],[2,5],[4,8],[6,10],[7,12],[9,13],[11,14]]=>1010110101011 [[1,3],[2,5],[4,8],[6,11],[7,12],[9,13],[10,14]]=>1010110110111 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,13],[12,14]]=>1010111011101 [[1,3],[2,5],[4,9],[6,10],[7,12],[8,13],[11,14]]=>1010111011011 [[1,3],[2,5],[4,9],[6,11],[7,12],[8,13],[10,14]]=>1010111010111 [[1,3],[2,5],[4,10],[6,11],[7,12],[8,13],[9,14]]=>1010111101111 [[1,3],[2,6],[4,7],[5,9],[8,11],[10,13],[12,14]]=>1011011010101 [[1,3],[2,6],[4,7],[5,9],[8,12],[10,13],[11,14]]=>1011011011011 [[1,3],[2,6],[4,7],[5,10],[8,11],[9,13],[12,14]]=>1011011101101 [[1,3],[2,6],[4,7],[5,10],[8,12],[9,13],[11,14]]=>1011011101011 [[1,3],[2,6],[4,7],[5,11],[8,12],[9,13],[10,14]]=>1011011110111 [[1,3],[2,6],[4,8],[5,9],[7,11],[10,13],[12,14]]=>1011010110101 [[1,3],[2,6],[4,8],[5,9],[7,12],[10,13],[11,14]]=>1011010111011 [[1,3],[2,6],[4,8],[5,10],[7,11],[9,13],[12,14]]=>1011010101101 [[1,3],[2,6],[4,8],[5,10],[7,12],[9,13],[11,14]]=>1011010101011 [[1,3],[2,6],[4,8],[5,11],[7,12],[9,13],[10,14]]=>1011010110111 [[1,3],[2,6],[4,9],[5,10],[7,11],[8,13],[12,14]]=>1011011011101 [[1,3],[2,6],[4,9],[5,10],[7,12],[8,13],[11,14]]=>1011011011011 [[1,3],[2,6],[4,9],[5,11],[7,12],[8,13],[10,14]]=>1011011010111 [[1,3],[2,6],[4,10],[5,11],[7,12],[8,13],[9,14]]=>1011011101111 [[1,3],[2,7],[4,8],[5,9],[6,11],[10,13],[12,14]]=>1011101110101 [[1,3],[2,7],[4,8],[5,9],[6,12],[10,13],[11,14]]=>1011101111011 [[1,3],[2,7],[4,8],[5,10],[6,11],[9,13],[12,14]]=>1011101101101 [[1,3],[2,7],[4,8],[5,10],[6,12],[9,13],[11,14]]=>1011101101011 [[1,3],[2,7],[4,8],[5,11],[6,12],[9,13],[10,14]]=>1011101110111 [[1,3],[2,7],[4,9],[5,10],[6,11],[8,13],[12,14]]=>1011101011101 [[1,3],[2,7],[4,9],[5,10],[6,12],[8,13],[11,14]]=>1011101011011 [[1,3],[2,7],[4,9],[5,11],[6,12],[8,13],[10,14]]=>1011101010111 [[1,3],[2,7],[4,10],[5,11],[6,12],[8,13],[9,14]]=>1011101101111 [[1,3],[2,8],[4,9],[5,10],[6,11],[7,13],[12,14]]=>1011110111101 [[1,3],[2,8],[4,9],[5,10],[6,12],[7,13],[11,14]]=>1011110111011 [[1,3],[2,8],[4,9],[5,11],[6,12],[7,13],[10,14]]=>1011110110111 [[1,3],[2,8],[4,10],[5,11],[6,12],[7,13],[9,14]]=>1011110101111 [[1,3],[2,9],[4,10],[5,11],[6,12],[7,13],[8,14]]=>1011111011111 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,14]]=>1101101010101 [[1,4],[2,5],[3,7],[6,9],[8,12],[10,13],[11,14]]=>1101101011011 [[1,4],[2,5],[3,7],[6,10],[8,11],[9,13],[12,14]]=>1101101101101 [[1,4],[2,5],[3,7],[6,10],[8,12],[9,13],[11,14]]=>1101101101011 [[1,4],[2,5],[3,7],[6,11],[8,12],[9,13],[10,14]]=>1101101110111 [[1,4],[2,5],[3,8],[6,9],[7,11],[10,13],[12,14]]=>1101110110101 [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,14]]=>1101110111011 [[1,4],[2,5],[3,8],[6,10],[7,11],[9,13],[12,14]]=>1101110101101 [[1,4],[2,5],[3,8],[6,10],[7,12],[9,13],[11,14]]=>1101110101011 [[1,4],[2,5],[3,8],[6,11],[7,12],[9,13],[10,14]]=>1101110110111 [[1,4],[2,5],[3,9],[6,10],[7,11],[8,13],[12,14]]=>1101111011101 [[1,4],[2,5],[3,9],[6,10],[7,12],[8,13],[11,14]]=>1101111011011 [[1,4],[2,5],[3,9],[6,11],[7,12],[8,13],[10,14]]=>1101111010111 [[1,4],[2,5],[3,10],[6,11],[7,12],[8,13],[9,14]]=>1101111101111 [[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,14]]=>1101011010101 [[1,4],[2,6],[3,7],[5,9],[8,12],[10,13],[11,14]]=>1101011011011 [[1,4],[2,6],[3,7],[5,10],[8,11],[9,13],[12,14]]=>1101011101101 [[1,4],[2,6],[3,7],[5,10],[8,12],[9,13],[11,14]]=>1101011101011 [[1,4],[2,6],[3,7],[5,11],[8,12],[9,13],[10,14]]=>1101011110111 [[1,4],[2,6],[3,8],[5,9],[7,11],[10,13],[12,14]]=>1101010110101 [[1,4],[2,6],[3,8],[5,9],[7,12],[10,13],[11,14]]=>1101010111011 [[1,4],[2,6],[3,8],[5,10],[7,11],[9,13],[12,14]]=>1101010101101 [[1,4],[2,6],[3,8],[5,10],[7,12],[9,13],[11,14]]=>1101010101011 [[1,4],[2,6],[3,8],[5,11],[7,12],[9,13],[10,14]]=>1101010110111 [[1,4],[2,6],[3,9],[5,10],[7,11],[8,13],[12,14]]=>1101011011101 [[1,4],[2,6],[3,9],[5,10],[7,12],[8,13],[11,14]]=>1101011011011 [[1,4],[2,6],[3,9],[5,11],[7,12],[8,13],[10,14]]=>1101011010111 [[1,4],[2,6],[3,10],[5,11],[7,12],[8,13],[9,14]]=>1101011101111 [[1,4],[2,7],[3,8],[5,9],[6,11],[10,13],[12,14]]=>1101101110101 [[1,4],[2,7],[3,8],[5,9],[6,12],[10,13],[11,14]]=>1101101111011 [[1,4],[2,7],[3,8],[5,10],[6,11],[9,13],[12,14]]=>1101101101101 [[1,4],[2,7],[3,8],[5,10],[6,12],[9,13],[11,14]]=>1101101101011 [[1,4],[2,7],[3,8],[5,11],[6,12],[9,13],[10,14]]=>1101101110111 [[1,4],[2,7],[3,9],[5,10],[6,11],[8,13],[12,14]]=>1101101011101 [[1,4],[2,7],[3,9],[5,10],[6,12],[8,13],[11,14]]=>1101101011011 [[1,4],[2,7],[3,9],[5,11],[6,12],[8,13],[10,14]]=>1101101010111 [[1,4],[2,7],[3,10],[5,11],[6,12],[8,13],[9,14]]=>1101101101111 [[1,4],[2,8],[3,9],[5,10],[6,11],[7,13],[12,14]]=>1101110111101 [[1,4],[2,8],[3,9],[5,10],[6,12],[7,13],[11,14]]=>1101110111011 [[1,4],[2,8],[3,9],[5,11],[6,12],[7,13],[10,14]]=>1101110110111 [[1,4],[2,8],[3,10],[5,11],[6,12],[7,13],[9,14]]=>1101110101111 [[1,4],[2,9],[3,10],[5,11],[6,12],[7,13],[8,14]]=>1101111011111 [[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,14]]=>1110111010101 [[1,5],[2,6],[3,7],[4,9],[8,12],[10,13],[11,14]]=>1110111011011 [[1,5],[2,6],[3,7],[4,10],[8,11],[9,13],[12,14]]=>1110111101101 [[1,5],[2,6],[3,7],[4,10],[8,12],[9,13],[11,14]]=>1110111101011 [[1,5],[2,6],[3,7],[4,11],[8,12],[9,13],[10,14]]=>1110111110111 [[1,5],[2,6],[3,8],[4,9],[7,11],[10,13],[12,14]]=>1110110110101 [[1,5],[2,6],[3,8],[4,9],[7,12],[10,13],[11,14]]=>1110110111011 [[1,5],[2,6],[3,8],[4,10],[7,11],[9,13],[12,14]]=>1110110101101 [[1,5],[2,6],[3,8],[4,10],[7,12],[9,13],[11,14]]=>1110110101011 [[1,5],[2,6],[3,8],[4,11],[7,12],[9,13],[10,14]]=>1110110110111 [[1,5],[2,6],[3,9],[4,10],[7,11],[8,13],[12,14]]=>1110111011101 [[1,5],[2,6],[3,9],[4,10],[7,12],[8,13],[11,14]]=>1110111011011 [[1,5],[2,6],[3,9],[4,11],[7,12],[8,13],[10,14]]=>1110111010111 [[1,5],[2,6],[3,10],[4,11],[7,12],[8,13],[9,14]]=>1110111101111 [[1,5],[2,7],[3,8],[4,9],[6,11],[10,13],[12,14]]=>1110101110101 [[1,5],[2,7],[3,8],[4,9],[6,12],[10,13],[11,14]]=>1110101111011 [[1,5],[2,7],[3,8],[4,10],[6,11],[9,13],[12,14]]=>1110101101101 [[1,5],[2,7],[3,8],[4,10],[6,12],[9,13],[11,14]]=>1110101101011 [[1,5],[2,7],[3,8],[4,11],[6,12],[9,13],[10,14]]=>1110101110111 [[1,5],[2,7],[3,9],[4,10],[6,11],[8,13],[12,14]]=>1110101011101 [[1,5],[2,7],[3,9],[4,10],[6,12],[8,13],[11,14]]=>1110101011011 [[1,5],[2,7],[3,9],[4,11],[6,12],[8,13],[10,14]]=>1110101010111 [[1,5],[2,7],[3,10],[4,11],[6,12],[8,13],[9,14]]=>1110101101111 [[1,5],[2,8],[3,9],[4,10],[6,11],[7,13],[12,14]]=>1110110111101 [[1,5],[2,8],[3,9],[4,10],[6,12],[7,13],[11,14]]=>1110110111011 [[1,5],[2,8],[3,9],[4,11],[6,12],[7,13],[10,14]]=>1110110110111 [[1,5],[2,8],[3,10],[4,11],[6,12],[7,13],[9,14]]=>1110110101111 [[1,5],[2,9],[3,10],[4,11],[6,12],[7,13],[8,14]]=>1110111011111 [[1,6],[2,7],[3,8],[4,9],[5,11],[10,13],[12,14]]=>1111011110101 [[1,6],[2,7],[3,8],[4,9],[5,12],[10,13],[11,14]]=>1111011111011 [[1,6],[2,7],[3,8],[4,10],[5,11],[9,13],[12,14]]=>1111011101101 [[1,6],[2,7],[3,8],[4,10],[5,12],[9,13],[11,14]]=>1111011101011 [[1,6],[2,7],[3,8],[4,11],[5,12],[9,13],[10,14]]=>1111011110111 [[1,6],[2,7],[3,9],[4,10],[5,11],[8,13],[12,14]]=>1111011011101 [[1,6],[2,7],[3,9],[4,10],[5,12],[8,13],[11,14]]=>1111011011011 [[1,6],[2,7],[3,9],[4,11],[5,12],[8,13],[10,14]]=>1111011010111 [[1,6],[2,7],[3,10],[4,11],[5,12],[8,13],[9,14]]=>1111011101111 [[1,6],[2,8],[3,9],[4,10],[5,11],[7,13],[12,14]]=>1111010111101 [[1,6],[2,8],[3,9],[4,10],[5,12],[7,13],[11,14]]=>1111010111011 [[1,6],[2,8],[3,9],[4,11],[5,12],[7,13],[10,14]]=>1111010110111 [[1,6],[2,8],[3,10],[4,11],[5,12],[7,13],[9,14]]=>1111010101111 [[1,6],[2,9],[3,10],[4,11],[5,12],[7,13],[8,14]]=>1111011011111 [[1,7],[2,8],[3,9],[4,10],[5,11],[6,13],[12,14]]=>1111101111101 [[1,7],[2,8],[3,9],[4,10],[5,12],[6,13],[11,14]]=>1111101111011 [[1,7],[2,8],[3,9],[4,11],[5,12],[6,13],[10,14]]=>1111101110111 [[1,7],[2,8],[3,10],[4,11],[5,12],[6,13],[9,14]]=>1111101101111 [[1,7],[2,9],[3,10],[4,11],[5,12],[6,13],[8,14]]=>1111101011111 [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14]]=>1111110111111 [[1,3,6,10],[2,4,7,11],[5,8,12],[9,13],[14]]=>1011011101111 [[1,2,4,7,11],[3,5,8,12],[6,9,13],[10,14]]=>0101101110111 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,14]]=>0101010101101 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,14]]=>0101010110101 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,14]]=>0101011010101 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,14]]=>0101101010101 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,14]]=>0110101010101 [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,14]]=>0101010111011 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,14]]=>0101011101101 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,14]]=>0101110110101 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,14]]=>0111011010101 [[1,2],[3,4],[5,6],[7,10],[8,12],[9,13],[11,14]]=>0101011101011 [[1,2],[3,4],[5,8],[6,10],[7,11],[9,13],[12,14]]=>0101110101101 [[1,2],[3,4],[5,6],[7,11],[8,12],[9,13],[10,14]]=>0101011110111 [[1,2],[3,6],[4,8],[5,9],[7,11],[10,13],[12,14]]=>0111010110101 [[1,2],[3,4],[5,9],[6,10],[7,11],[8,13],[12,14]]=>0101111011101 [[1,2],[3,7],[4,8],[5,9],[6,11],[10,13],[12,14]]=>0111101110101 [[1,2],[3,4],[5,8],[6,10],[7,12],[9,13],[11,14]]=>0101110101011 [[1,2],[3,6],[4,8],[5,10],[7,11],[9,13],[12,14]]=>0111010101101 [[1,2],[3,4],[5,8],[6,11],[7,12],[9,13],[10,14]]=>0101110110111 [[1,2],[3,6],[4,9],[5,10],[7,11],[8,13],[12,14]]=>0111011011101 [[1,2],[3,4],[5,9],[6,11],[7,12],[8,13],[10,14]]=>0101111010111 [[1,2],[3,7],[4,9],[5,10],[6,11],[8,13],[12,14]]=>0111101011101 [[1,2,4,7,10],[3,5,8,11],[6,9,12],[13],[14]]=>0101101101111 [[1,2,4,6,10],[3,5,7,11],[8,12],[9,13],[14]]=>0101011101111 [[1,2,3,6,10],[4,7,11],[5,8,12],[9,13],[14]]=>0011011101111 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14]]=>1011010101010 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14]]=>1101110101010 [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,14]]=>1110111101010 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14]]=>1010110101010 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14]]=>1010101101010 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14]]=>1010101011010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14]]=>1010101010110 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14]]=>1011011101010 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14]]=>1010110111010 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14]]=>1010101101110 [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12],[13,14]]=>1101011101010 [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12],[13,14]]=>1011010111010 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12],[13,14]]=>1010110101110 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12],[13,14]]=>1011101111010 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12],[13,14]]=>1010111011110 [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12],[13,14]]=>1101010111010 [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12],[13,14]]=>1011010101110 [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12],[13,14]]=>1110110111010 [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12],[13,14]]=>1011101101110 [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12],[13,14]]=>1110101111010 [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12],[13,14]]=>1011101011110 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]]=>00001000100101 [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]=>10100100010000 [[1,6,10,13,15],[2,7,11,14],[3,8,12],[4,9],[5]]=>11110111011010 [[1,2,4,7,11],[3,5,8,12],[6,9,13],[10,14],[15]]=>01011011101111 [[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]]=>101010101010101 [[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]]=>101010101010010 [[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]]=>101010101001010 [[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]]=>101010101000100 [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]=>101010100100101 [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]]=>101010100100010 [[1,3,5,7,9,10,12,15],[2,4,6,8,11,13,14,16]]=>101010100101001 [[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]]=>101010100101010 [[1,3,5,7,9,10,12,13],[2,4,6,8,11,14,15,16]]=>101010100100100 [[1,3,5,7,9,10,11,15],[2,4,6,8,12,13,14,16]]=>101010100010001 [[1,3,5,7,9,10,11,14],[2,4,6,8,12,13,15,16]]=>101010100010010 [[1,3,5,7,9,10,11,13],[2,4,6,8,12,14,15,16]]=>101010100010100 [[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]]=>101010100001000 [[1,3,5,7,8,11,13,14],[2,4,6,9,10,12,15,16]]=>101010010010010 [[1,3,5,7,8,10,12,14],[2,4,6,9,11,13,15,16]]=>101010010101010 [[1,3,5,7,8,9,12,14],[2,4,6,10,11,13,15,16]]=>101010001001010 [[1,3,5,7,8,9,11,14],[2,4,6,10,12,13,15,16]]=>101010001010010 [[1,3,5,7,8,9,10,14],[2,4,6,11,12,13,15,16]]=>101010000100010 [[1,3,5,7,8,9,10,11],[2,4,6,12,13,14,15,16]]=>101010000010000 [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]=>101001001010010 [[1,3,5,6,9,11,12,14],[2,4,7,8,10,13,15,16]]=>101001001001010 [[1,3,5,6,9,10,12,14],[2,4,7,8,11,13,15,16]]=>101001000101010 [[1,3,5,6,8,10,12,14],[2,4,7,9,11,13,15,16]]=>101001010101010 [[1,3,5,6,8,10,12,13],[2,4,7,9,11,14,15,16]]=>101001010100100 [[1,3,5,6,7,11,13,15],[2,4,8,9,10,12,14,16]]=>101000100010101 [[1,3,5,6,7,10,12,14],[2,4,8,9,11,13,15,16]]=>101000100101010 [[1,3,5,6,7,9,12,14],[2,4,8,10,11,13,15,16]]=>101000101001010 [[1,3,5,6,7,9,11,14],[2,4,8,10,12,13,15,16]]=>101000101010010 [[1,3,5,6,7,8,12,14],[2,4,9,10,11,13,15,16]]=>101000010001010 [[1,3,5,6,7,8,10,12],[2,4,9,11,13,14,15,16]]=>101000010101000 [[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]]=>101000001000001 [[1,3,5,6,7,8,9,12],[2,4,10,11,13,14,15,16]]=>101000001001000 [[1,3,5,6,7,8,9,11],[2,4,10,12,13,14,15,16]]=>101000001010000 [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]]=>101000000100000 [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]=>100100101010010 [[1,3,4,7,9,11,12,14],[2,5,6,8,10,13,15,16]]=>100100101001010 [[1,3,4,6,9,11,13,14],[2,5,7,8,10,12,15,16]]=>100101001010010 [[1,3,4,6,9,11,12,14],[2,5,7,8,10,13,15,16]]=>100101001001010 [[1,3,4,6,9,10,11,12],[2,5,7,8,13,14,15,16]]=>100101000001000 [[1,3,4,6,8,10,12,14],[2,5,7,9,11,13,15,16]]=>100101010101010 [[1,3,4,6,8,10,12,13],[2,5,7,9,11,14,15,16]]=>100101010100100 [[1,3,4,5,9,11,13,15],[2,6,7,8,10,12,14,16]]=>100010001010101 [[1,3,4,5,9,11,12,14],[2,6,7,8,10,13,15,16]]=>100010001001010 [[1,3,4,5,8,10,12,14],[2,6,7,9,11,13,15,16]]=>100010010101010 [[1,3,4,5,7,11,13,15],[2,6,8,9,10,12,14,16]]=>100010100010101 [[1,3,4,5,7,11,12,13],[2,6,8,9,10,14,15,16]]=>100010100000100 [[1,3,4,5,7,10,12,15],[2,6,8,9,11,13,14,16]]=>100010100101001 [[1,3,4,5,7,10,12,14],[2,6,8,9,11,13,15,16]]=>100010100101010 [[1,3,4,5,7,9,13,15],[2,6,8,10,11,12,14,16]]=>100010101000101 [[1,3,4,5,7,9,11,15],[2,6,8,10,12,13,14,16]]=>100010101010001 [[1,3,4,5,7,9,11,14],[2,6,8,10,12,13,15,16]]=>100010101010010 [[1,3,4,5,7,9,11,13],[2,6,8,10,12,14,15,16]]=>100010101010100 [[1,3,4,5,6,10,12,14],[2,7,8,9,11,13,15,16]]=>100001000101010 [[1,3,4,5,6,9,11,13],[2,7,8,10,12,14,15,16]]=>100001001010100 [[1,3,4,5,6,8,13,14],[2,7,9,10,11,12,15,16]]=>100001010000010 [[1,3,4,5,6,8,11,13],[2,7,9,10,12,14,15,16]]=>100001010010100 [[1,3,4,5,6,8,10,14],[2,7,9,11,12,13,15,16]]=>100001010100010 [[1,3,4,5,6,8,10,12],[2,7,9,11,13,14,15,16]]=>100001010101000 [[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]=>100001000100000 [[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]]=>100000100000101 [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]]=>100000100000010 [[1,3,4,5,6,7,11,13],[2,8,9,10,12,14,15,16]]=>100000100010100 [[1,3,4,5,6,7,10,12],[2,8,9,11,13,14,15,16]]=>100000100101000 [[1,3,4,5,6,7,9,15],[2,8,10,11,12,13,14,16]]=>100000101000001 [[1,3,4,5,6,7,9,12],[2,8,10,11,13,14,15,16]]=>100000101001000 [[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]=>100000101010000 [[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]=>100000100100000 [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]]=>100000010000001 [[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]=>100000010001000 [[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]=>100000010010000 [[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]=>100000010100000 [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]=>100000001000000 [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]=>010010101010101 [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]=>010010101010010 [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]=>010010101001001 [[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]]=>010010101001010 [[1,2,5,7,9,11,12,13],[3,4,6,8,10,14,15,16]]=>010010101000100 [[1,2,5,7,9,10,13,15],[3,4,6,8,11,12,14,16]]=>010010100100101 [[1,2,5,7,9,10,12,14],[3,4,6,8,11,13,15,16]]=>010010100101010 [[1,2,5,7,8,10,12,14],[3,4,6,9,11,13,15,16]]=>010010010101010 [[1,2,5,7,8,9,11,13],[3,4,6,10,12,14,15,16]]=>010010001010100 [[1,2,5,7,8,9,10,12],[3,4,6,11,13,14,15,16]]=>010010000101000 [[1,2,5,7,8,9,10,11],[3,4,6,12,13,14,15,16]]=>010010000010000 [[1,2,5,6,8,10,12,14],[3,4,7,9,11,13,15,16]]=>010001010101010 [[1,2,5,6,8,10,11,12],[3,4,7,9,13,14,15,16]]=>010001010001000 [[1,2,5,6,8,9,10,11],[3,4,7,12,13,14,15,16]]=>010001000010000 [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]]=>010000100010101 [[1,2,5,6,7,10,12,14],[3,4,8,9,11,13,15,16]]=>010000100101010 [[1,2,5,6,7,9,11,13],[3,4,8,10,12,14,15,16]]=>010000101010100 [[1,2,5,6,7,8,10,12],[3,4,9,11,13,14,15,16]]=>010000010101000 [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]]=>010000001000001 [[1,2,5,6,7,8,9,14],[3,4,10,11,12,13,15,16]]=>010000001000010 [[1,2,5,6,7,8,9,11],[3,4,10,12,13,14,15,16]]=>010000001010000 [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]]=>010000000100000 [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]=>010100101010101 [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]=>010100101010010 [[1,2,4,7,9,11,12,14],[3,5,6,8,10,13,15,16]]=>010100101001010 [[1,2,4,7,9,10,11,12],[3,5,6,8,13,14,15,16]]=>010100100001000 [[1,2,4,7,8,9,10,12],[3,5,6,11,13,14,15,16]]=>010100000101000 [[1,2,4,7,8,9,10,11],[3,5,6,12,13,14,15,16]]=>010100000010000 [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]=>010101001010101 [[1,2,4,6,9,11,12,13],[3,5,7,8,10,14,15,16]]=>010101001000100 [[1,2,4,6,9,10,11,12],[3,5,7,8,13,14,15,16]]=>010101000001000 [[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]]=>010101010010101 [[1,2,4,6,8,11,13,14],[3,5,7,9,10,12,15,16]]=>010101010010010 [[1,2,4,6,8,11,12,13],[3,5,7,9,10,14,15,16]]=>010101010000100 [[1,2,4,6,8,10,13,15],[3,5,7,9,11,12,14,16]]=>010101010100101 [[1,2,4,6,8,10,13,14],[3,5,7,9,11,12,15,16]]=>010101010100010 [[1,2,4,6,8,10,12,15],[3,5,7,9,11,13,14,16]]=>010101010101001 [[1,2,4,6,8,10,12,14],[3,5,7,9,11,13,15,16]]=>010101010101010 [[1,2,4,6,8,10,12,13],[3,5,7,9,11,14,15,16]]=>010101010100100 [[1,2,4,6,8,10,11,15],[3,5,7,9,12,13,14,16]]=>010101010010001 [[1,2,4,6,8,10,11,14],[3,5,7,9,12,13,15,16]]=>010101010010010 [[1,2,4,6,8,10,11,13],[3,5,7,9,12,14,15,16]]=>010101010010100 [[1,2,4,6,8,10,11,12],[3,5,7,9,13,14,15,16]]=>010101010001000 [[1,2,4,6,8,9,13,15],[3,5,7,10,11,12,14,16]]=>010101001000101 [[1,2,4,6,8,9,12,14],[3,5,7,10,11,13,15,16]]=>010101001001010 [[1,2,4,6,8,9,11,15],[3,5,7,10,12,13,14,16]]=>010101001010001 [[1,2,4,6,8,9,11,13],[3,5,7,10,12,14,15,16]]=>010101001010100 [[1,2,4,6,8,9,11,12],[3,5,7,10,13,14,15,16]]=>010101001001000 [[1,2,4,6,8,9,10,15],[3,5,7,11,12,13,14,16]]=>010101000100001 [[1,2,4,6,8,9,10,12],[3,5,7,11,13,14,15,16]]=>010101000101000 [[1,2,4,6,7,11,13,15],[3,5,8,9,10,12,14,16]]=>010100100010101 [[1,2,4,6,7,10,12,14],[3,5,8,9,11,13,15,16]]=>010100100101010 [[1,2,4,6,7,9,13,15],[3,5,8,10,11,12,14,16]]=>010100101000101 [[1,2,4,6,7,9,10,12],[3,5,8,11,13,14,15,16]]=>010100100101000 [[1,2,4,6,7,8,13,15],[3,5,9,10,11,12,14,16]]=>010100010000101 [[1,2,4,6,7,8,10,12],[3,5,9,11,13,14,15,16]]=>010100010101000 [[1,2,4,6,7,8,9,15],[3,5,10,11,12,13,14,16]]=>010100001000001 [[1,2,4,5,9,11,13,15],[3,6,7,8,10,12,14,16]]=>010010001010101 [[1,2,4,5,8,10,12,14],[3,6,7,9,11,13,15,16]]=>010010010101010 [[1,2,4,5,7,11,13,15],[3,6,8,9,10,12,14,16]]=>010010100010101 [[1,2,4,5,7,10,12,14],[3,6,8,9,11,13,15,16]]=>010010100101010 [[1,2,4,5,7,9,13,15],[3,6,8,10,11,12,14,16]]=>010010101000101 [[1,2,4,5,7,9,11,15],[3,6,8,10,12,13,14,16]]=>010010101010001 [[1,2,4,5,7,9,11,13],[3,6,8,10,12,14,15,16]]=>010010101010100 [[1,2,4,5,7,9,11,12],[3,6,8,10,13,14,15,16]]=>010010101001000 [[1,2,4,5,7,8,10,12],[3,6,9,11,13,14,15,16]]=>010010010101000 [[1,2,4,5,6,11,13,15],[3,7,8,9,10,12,14,16]]=>010001000010101 [[1,2,4,5,6,8,10,12],[3,7,9,11,13,14,15,16]]=>010001010101000 [[1,2,4,5,6,7,13,14],[3,8,9,10,11,12,15,16]]=>010000100000010 [[1,2,4,5,6,7,12,14],[3,8,9,10,11,13,15,16]]=>010000100001010 [[1,2,4,5,6,7,12,13],[3,8,9,10,11,14,15,16]]=>010000100000100 [[1,2,4,5,6,7,9,11],[3,8,10,12,13,14,15,16]]=>010000101010000 [[1,2,4,5,6,7,8,15],[3,9,10,11,12,13,14,16]]=>010000010000001 [[1,2,4,5,6,7,8,14],[3,9,10,11,12,13,15,16]]=>010000010000010 [[1,2,4,5,6,7,8,11],[3,9,10,12,13,14,15,16]]=>010000010010000 [[1,2,4,5,6,7,8,10],[3,9,11,12,13,14,15,16]]=>010000010100000 [[1,2,4,5,6,7,8,9],[3,10,11,12,13,14,15,16]]=>010000001000000 [[1,2,3,7,9,11,13,15],[4,5,6,8,10,12,14,16]]=>001000101010101 [[1,2,3,7,9,11,13,14],[4,5,6,8,10,12,15,16]]=>001000101010010 [[1,2,3,7,9,11,12,14],[4,5,6,8,10,13,15,16]]=>001000101001010 [[1,2,3,7,9,10,11,13],[4,5,6,8,12,14,15,16]]=>001000100010100 [[1,2,3,7,8,9,11,13],[4,5,6,10,12,14,15,16]]=>001000001010100 [[1,2,3,7,8,9,11,12],[4,5,6,10,13,14,15,16]]=>001000001001000 [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]]=>001000000100001 [[1,2,3,7,8,9,10,12],[4,5,6,11,13,14,15,16]]=>001000000101000 [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]]=>001000000010000 [[1,2,3,6,9,11,13,15],[4,5,7,8,10,12,14,16]]=>001001001010101 [[1,2,3,6,9,10,11,12],[4,5,7,8,13,14,15,16]]=>001001000001000 [[1,2,3,6,8,11,13,15],[4,5,7,9,10,12,14,16]]=>001001010010101 [[1,2,3,6,8,10,13,15],[4,5,7,9,11,12,14,16]]=>001001010100101 [[1,2,3,6,8,10,12,15],[4,5,7,9,11,13,14,16]]=>001001010101001 [[1,2,3,6,8,10,12,14],[4,5,7,9,11,13,15,16]]=>001001010101010 [[1,2,3,6,7,10,12,14],[4,5,8,9,11,13,15,16]]=>001000100101010 [[1,2,3,6,7,9,11,13],[4,5,8,10,12,14,15,16]]=>001000101010100 [[1,2,3,6,7,8,9,11],[4,5,10,12,13,14,15,16]]=>001000001010000 [[1,2,3,5,9,11,13,15],[4,6,7,8,10,12,14,16]]=>001010001010101 [[1,2,3,5,9,10,11,12],[4,6,7,8,13,14,15,16]]=>001010000001000 [[1,2,3,5,8,10,12,15],[4,6,7,9,11,13,14,16]]=>001010010101001 [[1,2,3,5,8,10,12,14],[4,6,7,9,11,13,15,16]]=>001010010101010 [[1,2,3,5,7,11,13,15],[4,6,8,9,10,12,14,16]]=>001010100010101 [[1,2,3,5,7,11,13,14],[4,6,8,9,10,12,15,16]]=>001010100010010 [[1,2,3,5,7,10,13,15],[4,6,8,9,11,12,14,16]]=>001010100100101 [[1,2,3,5,7,10,13,14],[4,6,8,9,11,12,15,16]]=>001010100100010 [[1,2,3,5,7,10,12,15],[4,6,8,9,11,13,14,16]]=>001010100101001 [[1,2,3,5,7,10,12,14],[4,6,8,9,11,13,15,16]]=>001010100101010 [[1,2,3,5,7,9,13,15],[4,6,8,10,11,12,14,16]]=>001010101000101 [[1,2,3,5,7,9,13,14],[4,6,8,10,11,12,15,16]]=>001010101000010 [[1,2,3,5,7,9,12,13],[4,6,8,10,11,14,15,16]]=>001010101000100 [[1,2,3,5,7,9,11,15],[4,6,8,10,12,13,14,16]]=>001010101010001 [[1,2,3,5,7,9,11,14],[4,6,8,10,12,13,15,16]]=>001010101010010 [[1,2,3,5,7,9,11,13],[4,6,8,10,12,14,15,16]]=>001010101010100 [[1,2,3,5,7,9,11,12],[4,6,8,10,13,14,15,16]]=>001010101001000 [[1,2,3,5,7,8,13,14],[4,6,9,10,11,12,15,16]]=>001010010000010 [[1,2,3,5,6,8,10,12],[4,7,9,11,13,14,15,16]]=>001001010101000 [[1,2,3,5,6,8,10,11],[4,7,9,12,13,14,15,16]]=>001001010010000 [[1,2,3,5,6,7,13,14],[4,8,9,10,11,12,15,16]]=>001000100000010 [[1,2,3,5,6,7,11,13],[4,8,9,10,12,14,15,16]]=>001000100010100 [[1,2,3,5,6,7,11,12],[4,8,9,10,13,14,15,16]]=>001000100001000 [[1,2,3,5,6,7,9,10],[4,8,11,12,13,14,15,16]]=>001000100100000 [[1,2,3,5,6,7,8,13],[4,9,10,11,12,14,15,16]]=>001000010000100 [[1,2,3,5,6,7,8,11],[4,9,10,12,13,14,15,16]]=>001000010010000 [[1,2,3,5,6,7,8,10],[4,9,11,12,13,14,15,16]]=>001000010100000 [[1,2,3,5,6,7,8,9],[4,10,11,12,13,14,15,16]]=>001000001000000 [[1,2,3,4,9,11,13,15],[5,6,7,8,10,12,14,16]]=>000100001010101 [[1,2,3,4,9,11,12,14],[5,6,7,8,10,13,15,16]]=>000100001001010 [[1,2,3,4,9,10,11,13],[5,6,7,8,12,14,15,16]]=>000100000010100 [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]]=>000100000001000 [[1,2,3,4,8,11,13,15],[5,6,7,9,10,12,14,16]]=>000100010010101 [[1,2,3,4,8,10,13,15],[5,6,7,9,11,12,14,16]]=>000100010100101 [[1,2,3,4,8,10,12,15],[5,6,7,9,11,13,14,16]]=>000100010101001 [[1,2,3,4,8,10,12,14],[5,6,7,9,11,13,15,16]]=>000100010101010 [[1,2,3,4,8,9,10,12],[5,6,7,11,13,14,15,16]]=>000100000101000 [[1,2,3,4,7,11,13,15],[5,6,8,9,10,12,14,16]]=>000100100010101 [[1,2,3,4,7,11,12,13],[5,6,8,9,10,14,15,16]]=>000100100000100 [[1,2,3,4,7,9,11,14],[5,6,8,10,12,13,15,16]]=>000100101010010 [[1,2,3,4,7,9,11,13],[5,6,8,10,12,14,15,16]]=>000100101010100 [[1,2,3,4,7,8,10,12],[5,6,9,11,13,14,15,16]]=>000100010101000 [[1,2,3,4,7,8,9,11],[5,6,10,12,13,14,15,16]]=>000100001010000 [[1,2,3,4,6,11,12,13],[5,7,8,9,10,14,15,16]]=>000101000000100 [[1,2,3,4,6,10,12,14],[5,7,8,9,11,13,15,16]]=>000101000101010 [[1,2,3,4,6,8,12,14],[5,7,9,10,11,13,15,16]]=>000101010001010 [[1,2,3,4,6,8,11,12],[5,7,9,10,13,14,15,16]]=>000101010001000 [[1,2,3,4,6,8,10,14],[5,7,9,11,12,13,15,16]]=>000101010100010 [[1,2,3,4,6,8,10,12],[5,7,9,11,13,14,15,16]]=>000101010101000 [[1,2,3,4,6,8,10,11],[5,7,9,12,13,14,15,16]]=>000101010010000 [[1,2,3,4,6,7,10,12],[5,8,9,11,13,14,15,16]]=>000100100101000 [[1,2,3,4,6,7,10,11],[5,8,9,12,13,14,15,16]]=>000100100010000 [[1,2,3,4,6,7,9,10],[5,8,11,12,13,14,15,16]]=>000100100100000 [[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]]=>000100010000001 [[1,2,3,4,6,7,8,14],[5,9,10,11,12,13,15,16]]=>000100010000010 [[1,2,3,4,6,7,8,12],[5,9,10,11,13,14,15,16]]=>000100010001000 [[1,2,3,4,6,7,8,9],[5,10,11,12,13,14,15,16]]=>000100001000000 [[1,2,3,4,5,11,13,15],[6,7,8,9,10,12,14,16]]=>000010000010101 [[1,2,3,4,5,11,12,14],[6,7,8,9,10,13,15,16]]=>000010000001010 [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]]=>000010000000100 [[1,2,3,4,5,10,13,15],[6,7,8,9,11,12,14,16]]=>000010000100101 [[1,2,3,4,5,10,12,15],[6,7,8,9,11,13,14,16]]=>000010000101001 [[1,2,3,4,5,10,11,13],[6,7,8,9,12,14,15,16]]=>000010000010100 [[1,2,3,4,5,9,13,15],[6,7,8,10,11,12,14,16]]=>000010001000101 [[1,2,3,4,5,8,13,14],[6,7,9,10,11,12,15,16]]=>000010010000010 [[1,2,3,4,5,8,10,13],[6,7,9,11,12,14,15,16]]=>000010010100100 [[1,2,3,4,5,8,10,12],[6,7,9,11,13,14,15,16]]=>000010010101000 [[1,2,3,4,5,8,9,11],[6,7,10,12,13,14,15,16]]=>000010001010000 [[1,2,3,4,5,7,13,14],[6,8,9,10,11,12,15,16]]=>000010100000010 [[1,2,3,4,5,7,11,12],[6,8,9,10,13,14,15,16]]=>000010100001000 [[1,2,3,4,5,7,10,12],[6,8,9,11,13,14,15,16]]=>000010100101000 [[1,2,3,4,5,7,10,11],[6,8,9,12,13,14,15,16]]=>000010100010000 [[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]=>000010101000001 [[1,2,3,4,5,7,9,14],[6,8,10,11,12,13,15,16]]=>000010101000010 [[1,2,3,4,5,7,9,11],[6,8,10,12,13,14,15,16]]=>000010101010000 [[1,2,3,4,5,7,9,10],[6,8,11,12,13,14,15,16]]=>000010100100000 [[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]=>000010010000001 [[1,2,3,4,5,7,8,14],[6,9,10,11,12,13,15,16]]=>000010010000010 [[1,2,3,4,5,7,8,11],[6,9,10,12,13,14,15,16]]=>000010010010000 [[1,2,3,4,5,7,8,9],[6,10,11,12,13,14,15,16]]=>000010001000000 [[1,2,3,4,5,6,13,15],[7,8,9,10,11,12,14,16]]=>000001000000101 [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]]=>000001000000010 [[1,2,3,4,5,6,12,15],[7,8,9,10,11,13,14,16]]=>000001000001001 [[1,2,3,4,5,6,12,14],[7,8,9,10,11,13,15,16]]=>000001000001010 [[1,2,3,4,5,6,11,15],[7,8,9,10,12,13,14,16]]=>000001000010001 [[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]=>000001000100001 [[1,2,3,4,5,6,10,14],[7,8,9,11,12,13,15,16]]=>000001000100010 [[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]=>000001001000001 [[1,2,3,4,5,6,9,14],[7,8,10,11,12,13,15,16]]=>000001001000010 [[1,2,3,4,5,6,9,13],[7,8,10,11,12,14,15,16]]=>000001001000100 [[1,2,3,4,5,6,9,12],[7,8,10,11,13,14,15,16]]=>000001001001000 [[1,2,3,4,5,6,9,11],[7,8,10,12,13,14,15,16]]=>000001001010000 [[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]=>000001010000001 [[1,2,3,4,5,6,8,14],[7,9,10,11,12,13,15,16]]=>000001010000010 [[1,2,3,4,5,6,8,10],[7,9,11,12,13,14,15,16]]=>000001010100000 [[1,2,3,4,5,6,8,9],[7,10,11,12,13,14,15,16]]=>000001001000000 [[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]=>000000100000001 [[1,2,3,4,5,6,7,14],[8,9,10,11,12,13,15,16]]=>000000100000010 [[1,2,3,4,5,6,7,13],[8,9,10,11,12,14,15,16]]=>000000100000100 [[1,2,3,4,5,6,7,12],[8,9,10,11,13,14,15,16]]=>000000100001000 [[1,2,3,4,5,6,7,11],[8,9,10,12,13,14,15,16]]=>000000100010000 [[1,2,3,4,5,6,7,10],[8,9,11,12,13,14,15,16]]=>000000100100000 [[1,2,3,4,5,6,7,9],[8,10,11,12,13,14,15,16]]=>000000101000000 [[1,2,3,4,5,6,7,8],[9,10,11,12,13,14,15,16]]=>000000010000000 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]]=>010101010101010 [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14],[15,16]]=>111111011111110 [[1,2],[3,10],[4,11],[5,12],[6,13],[7,14],[8,15],[9,16]]=>011111110111111 [[1,7],[2,9],[3,10],[4,11],[5,12],[6,13],[8,14],[15,16]]=>111110101111110 [[1,2],[3,9],[4,11],[5,12],[6,13],[7,14],[8,15],[10,16]]=>011111101011111 [[1,7],[2,8],[3,10],[4,11],[5,12],[6,13],[9,14],[15,16]]=>111110110111110 [[1,6],[2,9],[3,10],[4,11],[5,12],[7,13],[8,14],[15,16]]=>111101101111110 [[1,2],[3,9],[4,10],[5,12],[6,13],[7,14],[8,15],[11,16]]=>011111101101111 [[1,2],[3,8],[4,11],[5,12],[6,13],[7,14],[9,15],[10,16]]=>011111011011111 [[1,7],[2,8],[3,9],[4,11],[5,12],[6,13],[10,14],[15,16]]=>111110111011110 [[1,6],[2,8],[3,10],[4,11],[5,12],[7,13],[9,14],[15,16]]=>111101010111110 [[1,5],[2,9],[3,10],[4,11],[6,12],[7,13],[8,14],[15,16]]=>111011101111110 [[1,2],[3,9],[4,10],[5,11],[6,13],[7,14],[8,15],[12,16]]=>011111101110111 [[1,2],[3,8],[4,10],[5,12],[6,13],[7,14],[9,15],[11,16]]=>011111010101111 [[1,2],[3,7],[4,11],[5,12],[6,13],[8,14],[9,15],[10,16]]=>011110111011111 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,16]]=>010101010101101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,16]]=>010101010110101 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,16]]=>010101011010101 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,16]]=>010101101010101 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,16]]=>010110101010101 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16]]=>011010101010101 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16]]=>101010101010101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,14],[12,15],[13,16]]=>010101010111011 [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,15],[14,16]]=>010101011101101 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,15],[14,16]]=>010101110110101 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,15],[14,16]]=>010111011010101 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,15],[14,16]]=>011101101010101 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,16]]=>110110101010101 [[1,2],[3,4],[5,6],[7,8],[9,12],[10,14],[11,15],[13,16]]=>010101011101011 [[1,2],[3,4],[5,6],[7,10],[8,12],[9,13],[11,15],[14,16]]=>010101110101101 [[1,2],[3,4],[5,6],[7,8],[9,13],[10,14],[11,15],[12,16]]=>010101011110111 [[1,2],[3,4],[5,8],[6,10],[7,11],[9,13],[12,15],[14,16]]=>010111010110101 [[1,2],[3,4],[5,6],[7,11],[8,12],[9,13],[10,15],[14,16]]=>010101111011101 [[1,2],[3,6],[4,8],[5,9],[7,11],[10,13],[12,15],[14,16]]=>011101011010101 [[1,2],[3,4],[5,9],[6,10],[7,11],[8,13],[12,15],[14,16]]=>010111101110101 [[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,15],[14,16]]=>110101101010101 [[1,2],[3,7],[4,8],[5,9],[6,11],[10,13],[12,15],[14,16]]=>011110111010101 [[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,15],[14,16]]=>111011101010101 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]]=>101101010101010 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16]]=>101011010101010 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16]]=>101010110101010 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16]]=>101010101101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16]]=>101010101011010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16]]=>101010101010110 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14],[15,16]]=>110111010101010 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14],[15,16]]=>101101110101010 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14],[15,16]]=>101011011101010 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14],[15,16]]=>101010110111010 [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14],[15,16]]=>101010101101110 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,15],[13,16]]=>101010101011011 [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12],[13,14],[15,16]]=>110101110101010 [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12],[13,14],[15,16]]=>101101011101010 [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,14],[15,16]]=>111011110101010 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12],[13,14],[15,16]]=>101011010111010 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12],[13,14],[15,16]]=>101110111101010 [[1,3],[2,5],[4,7],[6,10],[8,12],[9,13],[11,14],[15,16]]=>101010110101110 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12],[13,14],[15,16]]=>101011101111010 [[1,3],[2,5],[4,7],[6,9],[8,12],[10,14],[11,15],[13,16]]=>101010101101011 [[1,3],[2,5],[4,7],[6,11],[8,12],[9,13],[10,14],[15,16]]=>101010111011110 [[1,3],[2,5],[4,7],[6,9],[8,13],[10,14],[11,15],[12,16]]=>101010101110111 [[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]]=>10101010101010101 [[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]]=>10101010101010010 [[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]]=>10101010101001010 [[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]]=>10101010100101010 [[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]]=>10101010010101010 [[1,3,5,7,8,10,12,14,16],[2,4,6,9,11,13,15,17,18]]=>10101001010101010 [[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]]=>10100101010101010 [[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]]=>10010101010101010 [[1,2,4,6,8,10,12,14,16],[3,5,7,9,11,13,15,17,18]]=>01010101010101010 [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]]=>10101010101000100 [[1,3,5,7,9,11,12,13,16],[2,4,6,8,10,14,15,17,18]]=>10101010100010010 [[1,3,5,7,9,10,11,14,16],[2,4,6,8,12,13,15,17,18]]=>10101010001001010 [[1,3,5,7,8,9,12,14,16],[2,4,6,10,11,13,15,17,18]]=>10101000100101010 [[1,3,5,6,7,10,12,14,16],[2,4,8,9,11,13,15,17,18]]=>10100010010101010 [[1,3,4,5,8,10,12,14,16],[2,6,7,9,11,13,15,17,18]]=>10001001010101010 [[1,2,3,6,8,10,12,14,16],[4,5,7,9,11,13,15,17,18]]=>00100101010101010 [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]=>00000001000000001 [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]=>10000000010000000 [[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]=>00000010100000001 [[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]=>10000000101000000 [[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]]=>00000010010000001 [[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]]=>00000100100000001 [[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]=>10000000100100000 [[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]=>10000001001000000 [[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[17,18]]=>11111110111111110 [[1,2],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[10,18]]=>01111111101111111 [[1,8],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[9,16],[17,18]]=>11111101011111110 [[1,2],[3,10],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[11,18]]=>01111111010111111 [[1,8],[2,9],[3,11],[4,12],[5,13],[6,14],[7,15],[10,16],[17,18]]=>11111101101111110 [[1,7],[2,10],[3,11],[4,12],[5,13],[6,14],[8,15],[9,16],[17,18]]=>11111011011111110 [[1,2],[3,10],[4,11],[5,13],[6,14],[7,15],[8,16],[9,17],[12,18]]=>01111111011011111 [[1,2],[3,9],[4,12],[5,13],[6,14],[7,15],[8,16],[10,17],[11,18]]=>01111110110111111 [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]=>01001010101010101 [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]=>01010010101010101 [[1,2,4,6,9,11,13,15,17],[3,5,7,8,10,12,14,16,18]]=>01010100101010101 [[1,2,4,6,8,11,13,15,17],[3,5,7,9,10,12,14,16,18]]=>01010101001010101 [[1,2,4,6,8,10,13,15,17],[3,5,7,9,11,12,14,16,18]]=>01010101010010101 [[1,2,4,6,8,10,12,15,17],[3,5,7,9,11,13,14,16,18]]=>01010101010100101 [[1,2,4,6,8,10,12,14,17],[3,5,7,9,11,13,15,16,18]]=>01010101010101001 [[1,2,3,7,9,11,13,15,17],[4,5,6,8,10,12,14,16,18]]=>00100010101010101 [[1,2,4,5,9,11,13,15,17],[3,6,7,8,10,12,14,16,18]]=>01001000101010101 [[1,2,4,6,7,11,13,15,17],[3,5,8,9,10,12,14,16,18]]=>01010010001010101 [[1,2,4,6,8,9,13,15,17],[3,5,7,10,11,12,14,16,18]]=>01010100100010101 [[1,2,4,6,8,10,11,15,17],[3,5,7,9,12,13,14,16,18]]=>01010101001000101 [[1,2,4,6,8,10,12,13,17],[3,5,7,9,11,14,15,16,18]]=>01010101010010001 [[1,2,4,6,8,10,12,14,15],[3,5,7,9,11,13,16,17,18]]=>01010101010100100 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>01010101010101010 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,18]]=>01010101010101101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,18]]=>01010101010110101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,17],[16,18]]=>01010101011010101 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,17],[16,18]]=>01010101101010101 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>01010110101010101 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>01011010101010101 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>01101010101010101 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>10101010101010101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,16],[14,17],[15,18]]=>01010101010111011 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,14],[12,15],[13,17],[16,18]]=>01010101011101101 [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,15],[14,17],[16,18]]=>01010101110110101 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,15],[14,17],[16,18]]=>01010111011010101 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,15],[14,17],[16,18]]=>01011101101010101 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>01110110101010101 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>11011010101010101 [[1,2,3,4,5,6,7,8,9],[10,11,12,13,14,15,16,17,18]]=>00000000100000000 [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]]=>01000000001000000 [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]]=>00100000000100000 [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]]=>00010000000010000 [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]]=>00001000000001000 [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]]=>00000100000000100 [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]]=>00000010000000010 [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]]=>10100000001000000 [[1,2,4,7,8,9,10,11,12],[3,5,6,13,14,15,16,17,18]]=>01010000000100000 [[1,2,3,5,9,10,11,12,13],[4,6,7,8,14,15,16,17,18]]=>00101000000010000 [[1,2,3,4,6,11,12,13,14],[5,7,8,9,10,15,16,17,18]]=>00010100000001000 [[1,2,3,4,5,7,13,14,15],[6,8,9,10,11,12,16,17,18]]=>00001010000000100 [[1,2,3,4,5,6,8,15,16],[7,9,10,11,12,13,14,17,18]]=>00000101000000010 [[1,2,4,6,8,10,12,13,15],[3,5,7,9,11,14,16,17,18]]=>01010101010010100 [[1,2,4,6,8,10,11,13,15],[3,5,7,9,12,14,16,17,18]]=>01010101001010100 [[1,2,4,5,7,9,11,13,15],[3,6,8,10,12,14,16,17,18]]=>01001010101010100 [[1,2,3,5,7,9,11,13,15],[4,6,8,10,12,14,16,17,18]]=>00101010101010100 [[1,2,4,6,8,10,13,14,15],[3,5,7,9,11,12,16,17,18]]=>01010101010000100 [[1,2,5,6,7,9,11,13,15],[3,4,8,10,12,14,16,17,18]]=>01000010101010100 [[1,3,4,5,7,9,11,13,15],[2,6,8,10,12,14,16,17,18]]=>10001010101010100 [[1,2,4,6,8,10,12,13,14],[3,5,7,9,11,15,16,17,18]]=>01010101010001000 [[1,2,4,6,8,10,11,12,14],[3,5,7,9,13,15,16,17,18]]=>01010101000101000 [[1,2,4,6,8,9,10,12,14],[3,5,7,11,13,15,16,17,18]]=>01010100010101000 [[1,2,4,6,7,8,10,12,14],[3,5,9,11,13,15,16,17,18]]=>01010001010101000 [[1,2,4,5,6,8,10,12,14],[3,7,9,11,13,15,16,17,18]]=>01000101010101000 [[1,2,3,4,6,8,10,12,14],[5,7,9,11,13,15,16,17,18]]=>00010101010101000 [[1,2,4,6,8,11,12,13,14],[3,5,7,9,10,15,16,17,18]]=>01010101000001000 [[1,2,4,6,9,10,11,12,14],[3,5,7,8,13,15,16,17,18]]=>01010100000101000 [[1,2,4,7,8,9,10,12,14],[3,5,6,11,13,15,16,17,18]]=>01010000010101000 [[1,2,5,6,7,8,10,12,14],[3,4,9,11,13,15,16,17,18]]=>01000001010101000 [[1,3,4,5,6,8,10,12,14],[2,7,9,11,13,15,16,17,18]]=>10000101010101000 [[1,2,3,4,5,6,7,8,16],[9,10,11,12,13,14,15,17,18]]=>00000001000000010 [[1,2,3,4,5,6,7,8,15],[9,10,11,12,13,14,16,17,18]]=>00000001000000100 [[1,2,3,4,5,6,7,8,14],[9,10,11,12,13,15,16,17,18]]=>00000001000001000 [[1,2,3,4,5,6,7,8,13],[9,10,11,12,14,15,16,17,18]]=>00000001000010000 [[1,2,3,4,5,6,7,8,12],[9,10,11,13,14,15,16,17,18]]=>00000001000100000 [[1,2,3,4,5,6,7,8,11],[9,10,12,13,14,15,16,17,18]]=>00000001001000000 [[1,2,3,4,5,6,7,8,10],[9,11,12,13,14,15,16,17,18]]=>00000001010000000 [[1,2,3,4,5,6,7,15,17],[8,9,10,11,12,13,14,16,18]]=>00000010000000101 [[1,2,3,4,5,6,13,14,16],[7,8,9,10,11,12,15,17,18]]=>00000100000001010 [[1,2,3,4,5,11,12,13,15],[6,7,8,9,10,14,16,17,18]]=>00001000000010100 [[1,2,3,4,9,10,11,12,14],[5,6,7,8,13,15,16,17,18]]=>00010000000101000 [[1,2,3,7,8,9,10,11,13],[4,5,6,12,14,15,16,17,18]]=>00100000001010000 [[1,2,5,6,7,8,9,10,12],[3,4,11,13,14,15,16,17,18]]=>01000000010100000 [[1,2,3,5,7,9,11,13,17],[4,6,8,10,12,14,15,16,18]]=>00101010101010001 [[1,2,3,5,7,9,11,15,17],[4,6,8,10,12,13,14,16,18]]=>00101010101000101 [[1,2,3,5,7,9,13,15,17],[4,6,8,10,11,12,14,16,18]]=>00101010100010101 [[1,2,3,5,7,11,13,15,17],[4,6,8,9,10,12,14,16,18]]=>00101010001010101 [[1,2,3,5,9,11,13,15,17],[4,6,7,8,10,12,14,16,18]]=>00101000101010101 [[1,2,4,5,6,7,8,9,17],[3,10,11,12,13,14,15,16,18]]=>01000000100000001 [[1,2,5,6,8,9,10,11,12],[3,4,7,13,14,15,16,17,18]]=>01000100000100000 [[1,2,3,5,6,7,8,15,16],[4,9,10,11,12,13,14,17,18]]=>00100001000000010 [[1,2,3,7,8,9,11,12,13],[4,5,6,10,14,15,16,17,18]]=>00100000100010000 [[1,2,3,4,6,7,13,14,15],[5,8,9,10,11,12,16,17,18]]=>00010010000000100 [[1,2,3,4,5,6,7,9,10],[8,11,12,13,14,15,16,17,18]]=>00000010010000000 [[1,2,3,4,5,6,8,9,10],[7,11,12,13,14,15,16,17,18]]=>00000100010000000 [[1,2,3,4,5,7,8,9,10],[6,11,12,13,14,15,16,17,18]]=>00001000010000000 [[1,2,3,4,6,7,8,9,10],[5,11,12,13,14,15,16,17,18]]=>00010000010000000 [[1,2,3,5,6,7,8,9,10],[4,11,12,13,14,15,16,17,18]]=>00100000010000000 [[1,2,4,5,6,7,8,9,10],[3,11,12,13,14,15,16,17,18]]=>01000000010000000 [[1,2,3,4,5,6,7,9,11],[8,10,12,13,14,15,16,17,18]]=>00000010101000000 [[1,2,3,4,5,6,8,9,12],[7,10,11,13,14,15,16,17,18]]=>00000100100100000 [[1,2,3,4,5,7,8,9,13],[6,10,11,12,14,15,16,17,18]]=>00001000100010000 [[1,2,3,4,6,7,8,9,14],[5,10,11,12,13,15,16,17,18]]=>00010000100001000 [[1,2,3,5,6,7,8,9,15],[4,10,11,12,13,14,16,17,18]]=>00100000100000100 [[1,2,4,5,6,7,8,9,16],[3,10,11,12,13,14,15,17,18]]=>01000000100000010 [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]]=>10000000100000001 [[1,2,3,4,5,6,8,10,11],[7,9,12,13,14,15,16,17,18]]=>00000101001000000 [[1,2,3,4,5,6,7,10,12],[8,9,11,13,14,15,16,17,18]]=>00000010010100000 [[1,2,3,4,5,6,8,11,12],[7,9,10,13,14,15,16,17,18]]=>00000101000100000 [[1,2,3,4,5,7,8,10,11],[6,9,12,13,14,15,16,17,18]]=>00001001001000000 [[1,2,3,4,5,6,7,10,13],[8,9,11,12,14,15,16,17,18]]=>00000010010010000 [[1,2,3,4,5,6,9,10,12],[7,8,11,13,14,15,16,17,18]]=>00000100010100000 [[1,3,4,6,8,10,12,14,15],[2,5,7,9,11,13,16,17,18]]=>10010101010100100 [[1,2,4,6,8,10,12,15,16],[3,5,7,9,11,13,14,17,18]]=>01010101010100010 [[1,2,5,6,8,10,12,14,16],[3,4,7,9,11,13,15,17,18]]=>01000101010101010 [[1,2,3,6,8,10,12,14,17],[4,5,7,9,11,13,15,16,18]]=>00100101010101001 [[1,2,4,6,8,10,11,14,16],[3,5,7,9,12,13,15,17,18]]=>01010101001001010 [[1,2,4,6,8,10,11,13,16],[3,5,7,9,12,14,15,17,18]]=>01010101001010010 [[1,3,4,6,8,11,13,15,17],[2,5,7,9,10,12,14,16,18]]=>10010101001010101 [[1,3,5,6,8,11,13,15,17],[2,4,7,9,10,12,14,16,18]]=>10100101001010101 [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]=>10101001001010101 [[1,2,4,6,8,10,11,12,16],[3,5,7,9,13,14,15,17,18]]=>01010101000100010 [[1,2,4,6,8,10,11,13,14],[3,5,7,9,12,15,16,17,18]]=>01010101001001000 [[1,2,4,6,8,11,13,15,16],[3,5,7,9,10,12,14,17,18]]=>01010101001010010 [[1,2,3,4,6,8,11,13,15],[5,7,9,10,12,14,16,17,18]]=>00010101001010100 [[1,2,5,6,8,11,13,15,17],[3,4,7,9,10,12,14,16,18]]=>01000101001010101 [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]]=>10010001001010101 [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]=>10100100101010101 [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]=>01001010101010010 [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]=>01001010101001001 [[1,2,5,7,9,11,13,14,16],[3,4,6,8,10,12,15,17,18]]=>01001010101001010 [[1,2,4,6,8,10,12,13,16],[3,5,7,9,11,14,15,17,18]]=>01010101010010010 [[1,2,4,7,9,11,13,14,16],[3,5,6,8,10,12,15,17,18]]=>01010010101001010 [[1,2,3,4,5,6,7,9,16],[8,10,11,12,13,14,15,17,18]]=>00000010100000010 [[1,2,4,5,6,7,8,9,11],[3,10,12,13,14,15,16,17,18]]=>01000000101000000 [[1,2,3,4,5,6,7,10,16],[8,9,11,12,13,14,15,17,18]]=>00000010010000010 [[1,2,3,4,5,6,8,9,16],[7,10,11,12,13,14,15,17,18]]=>00000100100000010 [[1,2,4,5,6,7,8,9,12],[3,10,11,13,14,15,16,17,18]]=>01000000100100000 [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]]=>10101010100100010 [[1,2,3,4,6,8,10,12,13],[5,7,9,11,14,15,16,17,18]]=>00010101010010000 [[1,2,3,4,5,8,10,12,14],[6,7,9,11,13,15,16,17,18]]=>00001001010101000 [[1,2,3,4,5,7,9,11,12],[6,8,10,13,14,15,16,17,18]]=>00001010100100000 [[1,2,3,4,5,6,9,11,13],[7,8,10,12,14,15,16,17,18]]=>00000100101010000 [[1,2,3,4,6,8,10,13,14],[5,7,9,11,12,15,16,17,18]]=>00010101010001000 [[1,2,3,5,6,8,10,12,13],[4,7,9,11,14,15,16,17,18]]=>00100101010010000 [[1,2,3,4,5,8,10,12,15],[6,7,9,11,13,14,16,17,18]]=>00001001010100100 [[1,2,3,4,7,8,10,12,14],[5,6,9,11,13,15,16,17,18]]=>00010001010101000 [[1,2,3,4,5,6,13,15,17],[7,8,9,10,11,12,14,16,18]]=>00000100000010101 [[1,2,3,4,5,11,13,15,17],[6,7,8,9,10,12,14,16,18]]=>00001000001010101 [[1,2,3,4,9,11,13,15,17],[5,6,7,8,10,12,14,16,18]]=>00010000101010101 [[1,2,3,4,5,6,7,14,17],[8,9,10,11,12,13,15,16,18]]=>00000010000001001 [[1,2,3,4,5,6,12,15,17],[7,8,9,10,11,13,14,16,18]]=>00000100000100101 [[1,2,3,4,5,10,13,15,17],[6,7,8,9,11,12,14,16,18]]=>00001000010010101 [[1,2,3,4,8,11,13,15,17],[5,6,7,9,10,12,14,16,18]]=>00010001001010101 [[1,2,3,6,9,11,13,15,17],[4,5,7,8,10,12,14,16,18]]=>00100100101010101 [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]]=>01000000010000001 [[1,3,4,7,9,11,13,14,16],[2,5,6,8,10,12,15,17,18]]=>10010010101001010 [[1,2,4,7,9,11,13,15,16],[3,5,6,8,10,12,14,17,18]]=>01010010101010010 [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]=>10010010101010010 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>10110101010101010 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>10101101010101010 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>10101011010101010 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18]]=>10101010110101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16],[17,18]]=>10101010101101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16],[17,18]]=>10101010101011010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16],[17,18]]=>10101010101010110 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>11011101010101010 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>10110111010101010 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14],[15,16],[17,18]]=>10101101110101010 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14],[15,16],[17,18]]=>10101011011101010 [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14],[15,16],[17,18]]=>10101010110111010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,15],[13,16],[17,18]]=>10101010101101110 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,16],[14,17],[15,18]]=>10101010101011011 [[1,2,3,5,7,9,11,13,16],[4,6,8,10,12,14,15,17,18]]=>00101010101010010 [[1,3,4,5,7,9,11,13,16],[2,6,8,10,12,14,15,17,18]]=>10001010101010010 [[1,2,3,5,7,9,11,15,16],[4,6,8,10,12,13,14,17,18]]=>00101010101000010 [[1,2,4,5,7,9,11,13,17],[3,6,8,10,12,14,15,16,18]]=>01001010101010001 [[1,2,3,5,8,10,12,14,16],[4,6,7,9,11,13,15,17,18]]=>00101001010101010 [[1,2,4,5,8,10,12,14,16],[3,6,7,9,11,13,15,17,18]]=>01001001010101010 [[1,3,4,5,9,11,13,15,17],[2,6,7,8,10,12,14,16,18]]=>10001000101010101 [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]]=>10000001000000010 [[1,3,4,5,6,7,8,10,12],[2,9,11,13,14,15,16,17,18]]=>10000001010100000 [[1,3,4,5,6,7,9,11,13],[2,8,10,12,14,15,16,17,18]]=>10000010101010000 [[1,3,4,5,6,7,8,11,13],[2,9,10,12,14,15,16,17,18]]=>10000001001010000 [[1,3,4,5,6,7,10,12,14],[2,8,9,11,13,15,16,17,18]]=>10000010010101000 [[1,3,4,5,6,9,11,13,15],[2,7,8,10,12,14,16,17,18]]=>10000100101010100 [[1,3,5,6,7,9,11,14,16],[2,4,8,10,12,13,15,17,18]]=>10100010101001010 [[1,3,5,6,9,11,12,14,16],[2,4,7,8,10,13,15,17,18]]=>10100100100101010 [[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]]=>1010101010101010101 [[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]]=>1010101010101010010 [[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]]=>1010101010101001010 [[1,3,5,7,9,11,13,14,16,18],[2,4,6,8,10,12,15,17,19,20]]=>1010101010100101010 [[1,3,5,7,9,11,12,14,16,18],[2,4,6,8,10,13,15,17,19,20]]=>1010101010010101010 [[1,3,5,7,9,10,12,14,16,18],[2,4,6,8,11,13,15,17,19,20]]=>1010101001010101010 [[1,3,5,7,8,10,12,14,16,18],[2,4,6,9,11,13,15,17,19,20]]=>1010100101010101010 [[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]]=>1010010101010101010 [[1,3,4,6,8,10,12,14,16,18],[2,5,7,9,11,13,15,17,19,20]]=>1001010101010101010 [[1,2,4,6,8,10,12,14,16,18],[3,5,7,9,11,13,15,17,19,20]]=>0101010101010101010 [[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]=>0000000010000000001 [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]=>1000000000100000000 [[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]]=>0000000101000000001 [[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]=>1000000001010000000 [[1,10],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[19,20]]=>1111111101111111110 [[1,2],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[11,20]]=>0111111111011111111 [[1,9],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[10,18],[19,20]]=>1111111010111111110 [[1,2],[3,11],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[12,20]]=>0111111110101111111 [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]=>0100101010101010101 [[1,2,4,7,9,11,13,15,17,19],[3,5,6,8,10,12,14,16,18,20]]=>0101001010101010101 [[1,2,4,6,9,11,13,15,17,19],[3,5,7,8,10,12,14,16,18,20]]=>0101010010101010101 [[1,2,4,6,8,11,13,15,17,19],[3,5,7,9,10,12,14,16,18,20]]=>0101010100101010101 [[1,2,4,6,8,10,13,15,17,19],[3,5,7,9,11,12,14,16,18,20]]=>0101010101001010101 [[1,2,4,6,8,10,12,15,17,19],[3,5,7,9,11,13,14,16,18,20]]=>0101010101010010101 [[1,2,4,6,8,10,12,14,17,19],[3,5,7,9,11,13,15,16,18,20]]=>0101010101010100101 [[1,2,4,6,8,10,12,14,16,19],[3,5,7,9,11,13,15,17,18,20]]=>0101010101010101001 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>0101010101010101010 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,19],[18,20]]=>0101010101010101101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,19],[18,20]]=>0101010101010110101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,19],[18,20]]=>0101010101011010101 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,17],[16,19],[18,20]]=>0101010101101010101 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>0101010110101010101 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>0101011010101010101 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>0101101010101010101 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>0110101010101010101 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>1010101010101010101 [[1,2,3,4,5,6,7,8,9,10],[11,12,13,14,15,16,17,18,19,20]]=>0000000001000000000 [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]]=>0100000000010000000 [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]]=>0010000000001000000 [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]]=>0001000000000100000 [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]]=>0000100000000010000 [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]]=>0000010000000001000 [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]]=>0000001000000000100 [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]]=>0000000100000000010 [[1,2,4,6,8,10,12,14,16,17],[3,5,7,9,11,13,15,18,19,20]]=>0101010101010100100 [[1,2,4,5,7,9,11,13,15,17],[3,6,8,10,12,14,16,18,19,20]]=>0100101010101010100 [[1,2,4,6,8,10,12,14,15,16],[3,5,7,9,11,13,17,18,19,20]]=>0101010101010001000 [[1,2,4,6,8,10,12,13,14,16],[3,5,7,9,11,15,17,18,19,20]]=>0101010101000101000 [[1,2,4,6,8,10,11,12,14,16],[3,5,7,9,13,15,17,18,19,20]]=>0101010100010101000 [[1,2,4,6,8,9,10,12,14,16],[3,5,7,11,13,15,17,18,19,20]]=>0101010001010101000 [[1,2,4,6,7,8,10,12,14,16],[3,5,9,11,13,15,17,18,19,20]]=>0101000101010101000 [[1,2,4,5,6,8,10,12,14,16],[3,7,9,11,13,15,17,18,19,20]]=>0100010101010101000 [[1,2,3,4,6,8,10,12,14,16],[5,7,9,11,13,15,17,18,19,20]]=>0001010101010101000 [[1,2,3,4,5,6,7,8,9,18],[10,11,12,13,14,15,16,17,19,20]]=>0000000010000000010 [[1,2,3,4,5,6,7,8,9,17],[10,11,12,13,14,15,16,18,19,20]]=>0000000010000000100 [[1,2,3,4,5,6,7,8,9,16],[10,11,12,13,14,15,17,18,19,20]]=>0000000010000001000 [[1,2,3,4,5,6,7,8,9,15],[10,11,12,13,14,16,17,18,19,20]]=>0000000010000010000 [[1,2,3,4,5,6,7,8,9,14],[10,11,12,13,15,16,17,18,19,20]]=>0000000010000100000 [[1,2,3,4,5,6,7,8,9,13],[10,11,12,14,15,16,17,18,19,20]]=>0000000010001000000 [[1,2,3,4,5,6,7,8,9,12],[10,11,13,14,15,16,17,18,19,20]]=>0000000010010000000 [[1,2,3,4,5,6,7,8,9,11],[10,12,13,14,15,16,17,18,19,20]]=>0000000010100000000 [[1,2,3,4,5,6,7,8,10,11],[9,12,13,14,15,16,17,18,19,20]]=>0000000100100000000 [[1,2,3,4,5,6,7,9,10,11],[8,12,13,14,15,16,17,18,19,20]]=>0000001000100000000 [[1,2,3,4,5,6,8,9,10,11],[7,12,13,14,15,16,17,18,19,20]]=>0000010000100000000 [[1,2,3,4,5,7,8,9,10,11],[6,12,13,14,15,16,17,18,19,20]]=>0000100000100000000 [[1,2,3,4,6,7,8,9,10,11],[5,12,13,14,15,16,17,18,19,20]]=>0001000000100000000 [[1,2,3,5,6,7,8,9,10,11],[4,12,13,14,15,16,17,18,19,20]]=>0010000000100000000 [[1,2,4,5,6,7,8,9,10,11],[3,12,13,14,15,16,17,18,19,20]]=>0100000000100000000 [[1,2,3,4,5,6,7,9,11,12],[8,10,13,14,15,16,17,18,19,20]]=>0000001010010000000 [[1,2,3,4,5,6,7,8,11,13],[9,10,12,14,15,16,17,18,19,20]]=>0000000100101000000 [[1,2,3,6,8,10,12,14,16,18],[4,5,7,9,11,13,15,17,19,20]]=>0010010101010101010 [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]=>1010101010010010101 [[1,3,5,7,9,11,12,14,17,19],[2,4,6,8,10,13,15,16,18,20]]=>1010101010010100101 [[1,3,5,7,9,11,12,14,16,19],[2,4,6,8,10,13,15,17,18,20]]=>1010101010010101001 [[1,2,3,5,7,9,12,14,16,18],[4,6,8,10,11,13,15,17,19,20]]=>0010101010010101010 [[1,2,4,5,7,9,12,14,16,18],[3,6,8,10,11,13,15,17,19,20]]=>0100101010010101010 [[1,2,4,6,7,9,12,14,16,18],[3,5,8,10,11,13,15,17,19,20]]=>0101001010010101010 [[1,2,4,6,8,9,12,14,16,18],[3,5,7,10,11,13,15,17,19,20]]=>0101010010010101010 [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]=>0100101010101010010 [[1,2,3,4,5,6,7,8,10,18],[9,11,12,13,14,15,16,17,19,20]]=>0000000101000000010 [[1,2,3,4,5,7,9,11,13,14],[6,8,10,12,15,16,17,18,19,20]]=>0000101010100100000 [[1,2,3,4,5,6,9,11,13,15],[7,8,10,12,14,16,17,18,19,20]]=>0000010010101010000 [[1,2,3,4,6,8,10,12,14,15],[5,7,9,11,13,16,17,18,19,20]]=>0001010101010010000 [[1,2,3,4,5,8,10,12,14,16],[6,7,9,11,13,15,17,18,19,20]]=>0000100101010101000 [[1,2,3,4,5,6,7,8,17,19],[9,10,11,12,13,14,15,16,18,20]]=>0000000100000000101 [[1,2,3,4,5,6,7,15,17,19],[8,9,10,11,12,13,14,16,18,20]]=>0000001000000010101 [[1,2,3,4,5,6,13,15,17,19],[7,8,9,10,11,12,14,16,18,20]]=>0000010000001010101 [[1,2,3,4,5,11,13,15,17,19],[6,7,8,9,10,12,14,16,18,20]]=>0000100000101010101 [[1,2,3,4,9,11,13,15,17,19],[5,6,7,8,10,12,14,16,18,20]]=>0001000010101010101 [[1,2,3,7,9,11,13,15,17,19],[4,5,6,8,10,12,14,16,18,20]]=>0010001010101010101 [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]]=>1000000001000000001 [[1,2,5,7,9,11,13,15,16,18],[3,4,6,8,10,12,14,17,19,20]]=>0100101010101001010 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>1011010101010101010 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>1010110101010101010 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>1010101101010101010 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>1010101011010101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16],[17,18],[19,20]]=>1010101010110101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16],[17,18],[19,20]]=>1010101010101101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16],[17,18],[19,20]]=>1010101010101011010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18],[19,20]]=>1010101010101010110 [[1,2,3,5,7,9,11,13,15,18],[4,6,8,10,12,14,16,17,19,20]]=>0010101010101010010 [[1,3,4,5,6,7,8,9,10,13],[2,11,12,14,15,16,17,18,19,20]]=>1000000001001000000 [[1,3,4,5,6,7,8,9,11,13],[2,10,12,14,15,16,17,18,19,20]]=>1000000010101000000 [[1,3,4,5,6,7,8,10,12,14],[2,9,11,13,15,16,17,18,19,20]]=>1000000101010100000 [[1,3,4,5,6,7,9,11,13,15],[2,8,10,12,14,16,17,18,19,20]]=>1000001010101010000 [[1,3,4,5,6,8,10,12,14,16],[2,7,9,11,13,15,17,18,19,20]]=>1000010101010101000 [[1,3,4,5,7,9,11,13,15,17],[2,6,8,10,12,14,16,18,19,20]]=>1000101010101010100 [[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]]=>000000000100000000001 [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]]=>100000000001000000000 [[1,11],[2,12],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20],[21,22]]=>111111111011111111110 [[1,2],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20],[11,21],[12,22]]=>011111111110111111111 [[1,2,3,4,5,6,7,8,9,11,12],[10,13,14,15,16,17,18,19,20,21,22]]=>000000001001000000000 [[1,2,3,4,5,6,7,8,9,10,13],[11,12,14,15,16,17,18,19,20,21,22]]=>000000000100100000000 [[1,3,5,7,9,11,13,15,17,19,20],[2,4,6,8,10,12,14,16,18,21,22]]=>101010101010101010010 [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]=>010010101010101010101 [[1,2,4,6,8,10,12,14,16,18,20],[3,5,7,9,11,13,15,17,19,21,22]]=>010101010101010101010 [[1,2,3,4,5,6,7,8,9,10,20],[11,12,13,14,15,16,17,18,19,21,22]]=>000000000100000000010 [[1,2,3,4,5,7,9,11,13,15,16],[6,8,10,12,14,17,18,19,20,21,22]]=>000010101010100100000 [[1,2,3,4,5,6,9,11,13,15,17],[7,8,10,12,14,16,18,19,20,21,22]]=>000001001010101010000 [[1,2,3,4,5,6,7,8,9,10,12],[11,13,14,15,16,17,18,19,20,21,22]]=>000000000101000000000 [[1,3,5,7,9,11,13,15,17,18,20],[2,4,6,8,10,12,14,16,19,21,22]]=>101010101010101001010
click to show experimental identities (only identities of compositions of up to three maps are shown)
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 $1\leq i < n$.
Properties
surjective, graded
Sage 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)
Weight
26
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey