Identifier
Mp00085: Standard tableaux Schützenberger involutionStandard tableaux
Mp00155: Standard tableaux promotionStandard tableaux
Mp00134: Standard tableaux descent wordBinary words
Images
=>
Cc0007;cc-rep-0Cc0007;cc-rep-1Cc0007;cc-rep-2
[[1]]=>[[1]]=>[[1]]=> [[1,2]]=>[[1,2]]=>[[1,2]]=>0 [[1],[2]]=>[[1],[2]]=>[[1],[2]]=>1 [[1,2,3]]=>[[1,2,3]]=>[[1,2,3]]=>00 [[1,3],[2]]=>[[1,2],[3]]=>[[1,3],[2]]=>10 [[1,2],[3]]=>[[1,3],[2]]=>[[1,2],[3]]=>01 [[1],[2],[3]]=>[[1],[2],[3]]=>[[1],[2],[3]]=>11 [[1,2,3,4]]=>[[1,2,3,4]]=>[[1,2,3,4]]=>000 [[1,3,4],[2]]=>[[1,2,3],[4]]=>[[1,3,4],[2]]=>100 [[1,2,4],[3]]=>[[1,2,4],[3]]=>[[1,2,3],[4]]=>001 [[1,2,3],[4]]=>[[1,3,4],[2]]=>[[1,2,4],[3]]=>010 [[1,3],[2,4]]=>[[1,3],[2,4]]=>[[1,2],[3,4]]=>010 [[1,2],[3,4]]=>[[1,2],[3,4]]=>[[1,3],[2,4]]=>101 [[1,4],[2],[3]]=>[[1,2],[3],[4]]=>[[1,3],[2],[4]]=>101 [[1,3],[2],[4]]=>[[1,3],[2],[4]]=>[[1,4],[2],[3]]=>110 [[1,2],[3],[4]]=>[[1,4],[2],[3]]=>[[1,2],[3],[4]]=>011 [[1],[2],[3],[4]]=>[[1],[2],[3],[4]]=>[[1],[2],[3],[4]]=>111 [[1,2,3,4,5]]=>[[1,2,3,4,5]]=>[[1,2,3,4,5]]=>0000 [[1,3,4,5],[2]]=>[[1,2,3,4],[5]]=>[[1,3,4,5],[2]]=>1000 [[1,2,4,5],[3]]=>[[1,2,3,5],[4]]=>[[1,2,3,4],[5]]=>0001 [[1,2,3,5],[4]]=>[[1,2,4,5],[3]]=>[[1,2,3,5],[4]]=>0010 [[1,2,3,4],[5]]=>[[1,3,4,5],[2]]=>[[1,2,4,5],[3]]=>0100 [[1,3,5],[2,4]]=>[[1,2,4],[3,5]]=>[[1,3,5],[2,4]]=>1010 [[1,2,5],[3,4]]=>[[1,2,3],[4,5]]=>[[1,3,4],[2,5]]=>1001 [[1,3,4],[2,5]]=>[[1,3,4],[2,5]]=>[[1,2,5],[3,4]]=>0100 [[1,2,4],[3,5]]=>[[1,3,5],[2,4]]=>[[1,2,4],[3,5]]=>0101 [[1,2,3],[4,5]]=>[[1,2,5],[3,4]]=>[[1,2,3],[4,5]]=>0010 [[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]=>[[1,3,4],[2],[5]]=>1001 [[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]=>1010 [[1,2,5],[3],[4]]=>[[1,2,5],[3],[4]]=>[[1,2,3],[4],[5]]=>0011 [[1,3,4],[2],[5]]=>[[1,3,4],[2],[5]]=>[[1,4,5],[2],[3]]=>1100 [[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]=>0101 [[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]=>[[1,2,5],[3],[4]]=>0110 [[1,4],[2,5],[3]]=>[[1,3],[2,4],[5]]=>[[1,4],[2,5],[3]]=>1101 [[1,3],[2,5],[4]]=>[[1,2],[3,4],[5]]=>[[1,3],[2,5],[4]]=>1010 [[1,2],[3,5],[4]]=>[[1,2],[3,5],[4]]=>[[1,3],[2,4],[5]]=>1011 [[1,3],[2,4],[5]]=>[[1,4],[2,5],[3]]=>[[1,2],[3,5],[4]]=>0110 [[1,2],[3,4],[5]]=>[[1,3],[2,5],[4]]=>[[1,2],[3,4],[5]]=>0101 [[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]=>[[1,3],[2],[4],[5]]=>1011 [[1,4],[2],[3],[5]]=>[[1,3],[2],[4],[5]]=>[[1,4],[2],[3],[5]]=>1101 [[1,3],[2],[4],[5]]=>[[1,4],[2],[3],[5]]=>[[1,5],[2],[3],[4]]=>1110 [[1,2],[3],[4],[5]]=>[[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]=>0111 [[1],[2],[3],[4],[5]]=>[[1],[2],[3],[4],[5]]=>[[1],[2],[3],[4],[5]]=>1111 [[1,2,3,4,5,6]]=>[[1,2,3,4,5,6]]=>[[1,2,3,4,5,6]]=>00000 [[1,3,4,5,6],[2]]=>[[1,2,3,4,5],[6]]=>[[1,3,4,5,6],[2]]=>10000 [[1,2,4,5,6],[3]]=>[[1,2,3,4,6],[5]]=>[[1,2,3,4,5],[6]]=>00001 [[1,2,3,5,6],[4]]=>[[1,2,3,5,6],[4]]=>[[1,2,3,4,6],[5]]=>00010 [[1,2,3,4,6],[5]]=>[[1,2,4,5,6],[3]]=>[[1,2,3,5,6],[4]]=>00100 [[1,2,3,4,5],[6]]=>[[1,3,4,5,6],[2]]=>[[1,2,4,5,6],[3]]=>01000 [[1,3,5,6],[2,4]]=>[[1,2,3,5],[4,6]]=>[[1,3,4,6],[2,5]]=>10010 [[1,2,5,6],[3,4]]=>[[1,2,3,4],[5,6]]=>[[1,3,4,5],[2,6]]=>10001 [[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]=>[[1,3,5,6],[2,4]]=>10100 [[1,2,4,6],[3,5]]=>[[1,2,4,6],[3,5]]=>[[1,2,3,5],[4,6]]=>00101 [[1,2,3,6],[4,5]]=>[[1,2,3,6],[4,5]]=>[[1,2,3,4],[5,6]]=>00010 [[1,3,4,5],[2,6]]=>[[1,3,4,5],[2,6]]=>[[1,2,5,6],[3,4]]=>01000 [[1,2,4,5],[3,6]]=>[[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]=>01001 [[1,2,3,5],[4,6]]=>[[1,3,5,6],[2,4]]=>[[1,2,4,6],[3,5]]=>01010 [[1,2,3,4],[5,6]]=>[[1,2,5,6],[3,4]]=>[[1,2,3,6],[4,5]]=>00100 [[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]=>[[1,3,4,5],[2],[6]]=>10001 [[1,3,5,6],[2],[4]]=>[[1,2,3,5],[4],[6]]=>[[1,3,4,6],[2],[5]]=>10010 [[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]=>[[1,2,3,4],[5],[6]]=>00011 [[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]=>[[1,3,5,6],[2],[4]]=>10100 [[1,2,4,6],[3],[5]]=>[[1,2,4,6],[3],[5]]=>[[1,2,3,5],[4],[6]]=>00101 [[1,2,3,6],[4],[5]]=>[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]=>00110 [[1,3,4,5],[2],[6]]=>[[1,3,4,5],[2],[6]]=>[[1,4,5,6],[2],[3]]=>11000 [[1,2,4,5],[3],[6]]=>[[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]=>01001 [[1,2,3,5],[4],[6]]=>[[1,3,5,6],[2],[4]]=>[[1,2,4,6],[3],[5]]=>01010 [[1,2,3,4],[5],[6]]=>[[1,4,5,6],[2],[3]]=>[[1,2,5,6],[3],[4]]=>01100 [[1,3,5],[2,4,6]]=>[[1,3,5],[2,4,6]]=>[[1,2,4],[3,5,6]]=>01010 [[1,2,5],[3,4,6]]=>[[1,3,4],[2,5,6]]=>[[1,2,5],[3,4,6]]=>01001 [[1,3,4],[2,5,6]]=>[[1,2,5],[3,4,6]]=>[[1,2,3],[4,5,6]]=>00100 [[1,2,4],[3,5,6]]=>[[1,2,4],[3,5,6]]=>[[1,3,5],[2,4,6]]=>10101 [[1,2,3],[4,5,6]]=>[[1,2,3],[4,5,6]]=>[[1,3,4],[2,5,6]]=>10010 [[1,4,6],[2,5],[3]]=>[[1,2,4],[3,5],[6]]=>[[1,3,5],[2,6],[4]]=>10101 [[1,3,6],[2,5],[4]]=>[[1,2,3],[4,5],[6]]=>[[1,3,4],[2,6],[5]]=>10010 [[1,2,6],[3,5],[4]]=>[[1,2,3],[4,6],[5]]=>[[1,3,4],[2,5],[6]]=>10011 [[1,3,6],[2,4],[5]]=>[[1,2,5],[3,6],[4]]=>[[1,3,6],[2,4],[5]]=>10110 [[1,2,6],[3,4],[5]]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,4],[6]]=>10101 [[1,4,5],[2,6],[3]]=>[[1,3,4],[2,5],[6]]=>[[1,4,5],[2,6],[3]]=>11001 [[1,3,5],[2,6],[4]]=>[[1,3,5],[2,4],[6]]=>[[1,4,6],[2,5],[3]]=>11010 [[1,2,5],[3,6],[4]]=>[[1,3,6],[2,4],[5]]=>[[1,2,4],[3,5],[6]]=>01011 [[1,3,4],[2,6],[5]]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,5],[4]]=>10100 [[1,2,4],[3,6],[5]]=>[[1,2,6],[3,4],[5]]=>[[1,2,3],[4,5],[6]]=>00101 [[1,2,3],[4,6],[5]]=>[[1,2,6],[3,5],[4]]=>[[1,2,3],[4,6],[5]]=>00110 [[1,3,5],[2,4],[6]]=>[[1,3,5],[2,6],[4]]=>[[1,2,6],[3,4],[5]]=>01010 [[1,2,5],[3,4],[6]]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,4],[6]]=>01001 [[1,3,4],[2,5],[6]]=>[[1,4,5],[2,6],[3]]=>[[1,2,6],[3,5],[4]]=>01100 [[1,2,4],[3,5],[6]]=>[[1,4,6],[2,5],[3]]=>[[1,2,5],[3,6],[4]]=>01101 [[1,2,3],[4,5],[6]]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,6],[5]]=>01010 [[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]=>[[1,3,4],[2],[5],[6]]=>10011 [[1,4,6],[2],[3],[5]]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5],[2],[4],[6]]=>10101 [[1,3,6],[2],[4],[5]]=>[[1,2,5],[3],[4],[6]]=>[[1,3,6],[2],[4],[5]]=>10110 [[1,2,6],[3],[4],[5]]=>[[1,2,6],[3],[4],[5]]=>[[1,2,3],[4],[5],[6]]=>00111 [[1,4,5],[2],[3],[6]]=>[[1,3,4],[2],[5],[6]]=>[[1,4,5],[2],[3],[6]]=>11001 [[1,3,5],[2],[4],[6]]=>[[1,3,5],[2],[4],[6]]=>[[1,4,6],[2],[3],[5]]=>11010 [[1,2,5],[3],[4],[6]]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4],[3],[5],[6]]=>01011 [[1,3,4],[2],[5],[6]]=>[[1,4,5],[2],[3],[6]]=>[[1,5,6],[2],[3],[4]]=>11100 [[1,2,4],[3],[5],[6]]=>[[1,4,6],[2],[3],[5]]=>[[1,2,5],[3],[4],[6]]=>01101 [[1,2,3],[4],[5],[6]]=>[[1,5,6],[2],[3],[4]]=>[[1,2,6],[3],[4],[5]]=>01110 [[1,4],[2,5],[3,6]]=>[[1,4],[2,5],[3,6]]=>[[1,2],[3,5],[4,6]]=>01101 [[1,3],[2,5],[4,6]]=>[[1,3],[2,5],[4,6]]=>[[1,2],[3,4],[5,6]]=>01010 [[1,2],[3,5],[4,6]]=>[[1,3],[2,4],[5,6]]=>[[1,4],[2,5],[3,6]]=>11011 [[1,3],[2,4],[5,6]]=>[[1,2],[3,5],[4,6]]=>[[1,3],[2,4],[5,6]]=>10110 [[1,2],[3,4],[5,6]]=>[[1,2],[3,4],[5,6]]=>[[1,3],[2,5],[4,6]]=>10101 [[1,5],[2,6],[3],[4]]=>[[1,3],[2,4],[5],[6]]=>[[1,4],[2,5],[3],[6]]=>11011 [[1,4],[2,6],[3],[5]]=>[[1,2],[3,4],[5],[6]]=>[[1,3],[2,5],[4],[6]]=>10101 [[1,3],[2,6],[4],[5]]=>[[1,2],[3,5],[4],[6]]=>[[1,3],[2,6],[4],[5]]=>10110 [[1,2],[3,6],[4],[5]]=>[[1,2],[3,6],[4],[5]]=>[[1,3],[2,4],[5],[6]]=>10111 [[1,4],[2,5],[3],[6]]=>[[1,4],[2,5],[3],[6]]=>[[1,5],[2,6],[3],[4]]=>11101 [[1,3],[2,5],[4],[6]]=>[[1,3],[2,5],[4],[6]]=>[[1,4],[2,6],[3],[5]]=>11010 [[1,2],[3,5],[4],[6]]=>[[1,3],[2,6],[4],[5]]=>[[1,2],[3,4],[5],[6]]=>01011 [[1,3],[2,4],[5],[6]]=>[[1,5],[2,6],[3],[4]]=>[[1,2],[3,6],[4],[5]]=>01110 [[1,2],[3,4],[5],[6]]=>[[1,4],[2,6],[3],[5]]=>[[1,2],[3,5],[4],[6]]=>01101 [[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]=>[[1,3],[2],[4],[5],[6]]=>10111 [[1,5],[2],[3],[4],[6]]=>[[1,3],[2],[4],[5],[6]]=>[[1,4],[2],[3],[5],[6]]=>11011 [[1,4],[2],[3],[5],[6]]=>[[1,4],[2],[3],[5],[6]]=>[[1,5],[2],[3],[4],[6]]=>11101 [[1,3],[2],[4],[5],[6]]=>[[1,5],[2],[3],[4],[6]]=>[[1,6],[2],[3],[4],[5]]=>11110 [[1,2],[3],[4],[5],[6]]=>[[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]=>01111 [[1],[2],[3],[4],[5],[6]]=>[[1],[2],[3],[4],[5],[6]]=>[[1],[2],[3],[4],[5],[6]]=>11111 [[1,2,3,4,5,6,7]]=>[[1,2,3,4,5,6,7]]=>[[1,2,3,4,5,6,7]]=>000000 [[1,3,4,5,6,7],[2]]=>[[1,2,3,4,5,6],[7]]=>[[1,3,4,5,6,7],[2]]=>100000 [[1,2,4,5,6,7],[3]]=>[[1,2,3,4,5,7],[6]]=>[[1,2,3,4,5,6],[7]]=>000001 [[1,2,3,5,6,7],[4]]=>[[1,2,3,4,6,7],[5]]=>[[1,2,3,4,5,7],[6]]=>000010 [[1,2,3,4,6,7],[5]]=>[[1,2,3,5,6,7],[4]]=>[[1,2,3,4,6,7],[5]]=>000100 [[1,2,3,4,5,7],[6]]=>[[1,2,4,5,6,7],[3]]=>[[1,2,3,5,6,7],[4]]=>001000 [[1,2,3,4,5,6],[7]]=>[[1,3,4,5,6,7],[2]]=>[[1,2,4,5,6,7],[3]]=>010000 [[1,3,5,6,7],[2,4]]=>[[1,2,3,4,6],[5,7]]=>[[1,3,4,5,7],[2,6]]=>100010 [[1,2,5,6,7],[3,4]]=>[[1,2,3,4,5],[6,7]]=>[[1,3,4,5,6],[2,7]]=>100001 [[1,3,4,6,7],[2,5]]=>[[1,2,3,5,6],[4,7]]=>[[1,3,4,6,7],[2,5]]=>100100 [[1,2,4,6,7],[3,5]]=>[[1,2,3,5,7],[4,6]]=>[[1,2,3,4,6],[5,7]]=>000101 [[1,2,3,6,7],[4,5]]=>[[1,2,3,4,7],[5,6]]=>[[1,2,3,4,5],[6,7]]=>000010 [[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]=>[[1,3,5,6,7],[2,4]]=>101000 [[1,2,4,5,7],[3,6]]=>[[1,2,4,5,7],[3,6]]=>[[1,2,3,5,6],[4,7]]=>001001 [[1,2,3,5,7],[4,6]]=>[[1,2,4,6,7],[3,5]]=>[[1,2,3,5,7],[4,6]]=>001010 [[1,2,3,4,7],[5,6]]=>[[1,2,3,6,7],[4,5]]=>[[1,2,3,4,7],[5,6]]=>000100 [[1,3,4,5,6],[2,7]]=>[[1,3,4,5,6],[2,7]]=>[[1,2,5,6,7],[3,4]]=>010000 [[1,2,4,5,6],[3,7]]=>[[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]=>010001 [[1,2,3,5,6],[4,7]]=>[[1,3,4,6,7],[2,5]]=>[[1,2,4,5,7],[3,6]]=>010010 [[1,2,3,4,6],[5,7]]=>[[1,3,5,6,7],[2,4]]=>[[1,2,4,6,7],[3,5]]=>010100 [[1,2,3,4,5],[6,7]]=>[[1,2,5,6,7],[3,4]]=>[[1,2,3,6,7],[4,5]]=>001000 [[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]=>[[1,3,4,5,6],[2],[7]]=>100001 [[1,3,5,6,7],[2],[4]]=>[[1,2,3,4,6],[5],[7]]=>[[1,3,4,5,7],[2],[6]]=>100010 [[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]=>[[1,2,3,4,5],[6],[7]]=>000011 [[1,3,4,6,7],[2],[5]]=>[[1,2,3,5,6],[4],[7]]=>[[1,3,4,6,7],[2],[5]]=>100100 [[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]=>[[1,2,3,4,6],[5],[7]]=>000101 [[1,2,3,6,7],[4],[5]]=>[[1,2,3,6,7],[4],[5]]=>[[1,2,3,4,7],[5],[6]]=>000110 [[1,3,4,5,7],[2],[6]]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,5,6,7],[2],[4]]=>101000 [[1,2,4,5,7],[3],[6]]=>[[1,2,4,5,7],[3],[6]]=>[[1,2,3,5,6],[4],[7]]=>001001 [[1,2,3,5,7],[4],[6]]=>[[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]=>001010 [[1,2,3,4,7],[5],[6]]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,6,7],[4],[5]]=>001100 [[1,3,4,5,6],[2],[7]]=>[[1,3,4,5,6],[2],[7]]=>[[1,4,5,6,7],[2],[3]]=>110000 [[1,2,4,5,6],[3],[7]]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,4,5,6],[3],[7]]=>010001 [[1,2,3,5,6],[4],[7]]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,4,5,7],[3],[6]]=>010010 [[1,2,3,4,6],[5],[7]]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4,6,7],[3],[5]]=>010100 [[1,2,3,4,5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,5,6,7],[3],[4]]=>011000 [[1,3,5,7],[2,4,6]]=>[[1,2,4,6],[3,5,7]]=>[[1,3,5,7],[2,4,6]]=>101010 [[1,2,5,7],[3,4,6]]=>[[1,2,4,5],[3,6,7]]=>[[1,3,5,6],[2,4,7]]=>101001 [[1,3,4,7],[2,5,6]]=>[[1,2,3,6],[4,5,7]]=>[[1,3,4,7],[2,5,6]]=>100100 [[1,2,4,7],[3,5,6]]=>[[1,2,3,5],[4,6,7]]=>[[1,3,4,6],[2,5,7]]=>100101 [[1,2,3,7],[4,5,6]]=>[[1,2,3,4],[5,6,7]]=>[[1,3,4,5],[2,6,7]]=>100010 [[1,3,5,6],[2,4,7]]=>[[1,3,4,6],[2,5,7]]=>[[1,2,5,7],[3,4,6]]=>010010 [[1,2,5,6],[3,4,7]]=>[[1,3,4,5],[2,6,7]]=>[[1,2,5,6],[3,4,7]]=>010001 [[1,3,4,6],[2,5,7]]=>[[1,3,5,6],[2,4,7]]=>[[1,2,4,7],[3,5,6]]=>010100 [[1,2,4,6],[3,5,7]]=>[[1,3,5,7],[2,4,6]]=>[[1,2,4,6],[3,5,7]]=>010101 [[1,2,3,6],[4,5,7]]=>[[1,3,4,7],[2,5,6]]=>[[1,2,4,5],[3,6,7]]=>010010 [[1,3,4,5],[2,6,7]]=>[[1,2,5,6],[3,4,7]]=>[[1,2,3,7],[4,5,6]]=>001000 [[1,2,4,5],[3,6,7]]=>[[1,2,5,7],[3,4,6]]=>[[1,2,3,6],[4,5,7]]=>001001 [[1,2,3,5],[4,6,7]]=>[[1,2,4,7],[3,5,6]]=>[[1,2,3,5],[4,6,7]]=>001010 [[1,2,3,4],[5,6,7]]=>[[1,2,3,7],[4,5,6]]=>[[1,2,3,4],[5,6,7]]=>000100 [[1,4,6,7],[2,5],[3]]=>[[1,2,3,5],[4,6],[7]]=>[[1,3,4,6],[2,7],[5]]=>100101 [[1,3,6,7],[2,5],[4]]=>[[1,2,3,4],[5,6],[7]]=>[[1,3,4,5],[2,7],[6]]=>100010 [[1,2,6,7],[3,5],[4]]=>[[1,2,3,4],[5,7],[6]]=>[[1,3,4,5],[2,6],[7]]=>100011 [[1,3,6,7],[2,4],[5]]=>[[1,2,3,6],[4,7],[5]]=>[[1,3,4,7],[2,5],[6]]=>100110 [[1,2,6,7],[3,4],[5]]=>[[1,2,3,5],[4,7],[6]]=>[[1,3,4,6],[2,5],[7]]=>100101 [[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,5,6],[2,7],[4]]=>101001 [[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,5,7],[2,6],[4]]=>101010 [[1,2,5,7],[3,6],[4]]=>[[1,2,4,7],[3,5],[6]]=>[[1,2,3,5],[4,6],[7]]=>001011 [[1,3,4,7],[2,6],[5]]=>[[1,2,3,6],[4,5],[7]]=>[[1,3,4,7],[2,6],[5]]=>100100 [[1,2,4,7],[3,6],[5]]=>[[1,2,3,7],[4,5],[6]]=>[[1,2,3,4],[5,6],[7]]=>000101 [[1,2,3,7],[4,6],[5]]=>[[1,2,3,7],[4,6],[5]]=>[[1,2,3,4],[5,7],[6]]=>000110 [[1,3,5,7],[2,4],[6]]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5,7],[2,4],[6]]=>101010 [[1,2,5,7],[3,4],[6]]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,5,6],[2,4],[7]]=>101001 [[1,3,4,7],[2,5],[6]]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,6,7],[2,4],[5]]=>101100 [[1,2,4,7],[3,5],[6]]=>[[1,2,5,7],[3,6],[4]]=>[[1,2,3,6],[4,7],[5]]=>001101 [[1,2,3,7],[4,5],[6]]=>[[1,2,4,7],[3,6],[5]]=>[[1,2,3,5],[4,7],[6]]=>001010 [[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]=>[[1,4,5,6],[2,7],[3]]=>110001 [[1,3,5,6],[2,7],[4]]=>[[1,3,4,6],[2,5],[7]]=>[[1,4,5,7],[2,6],[3]]=>110010 [[1,2,5,6],[3,7],[4]]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,4,5],[3,6],[7]]=>010011 [[1,3,4,6],[2,7],[5]]=>[[1,3,5,6],[2,4],[7]]=>[[1,4,6,7],[2,5],[3]]=>110100 [[1,2,4,6],[3,7],[5]]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,4,6],[3,5],[7]]=>010101 [[1,2,3,6],[4,7],[5]]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,4,7],[3,5],[6]]=>010110 [[1,3,4,5],[2,7],[6]]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,6,7],[2,5],[4]]=>101000 [[1,2,4,5],[3,7],[6]]=>[[1,2,5,7],[3,4],[6]]=>[[1,2,3,6],[4,5],[7]]=>001001 [[1,2,3,5],[4,7],[6]]=>[[1,2,6,7],[3,4],[5]]=>[[1,2,3,7],[4,5],[6]]=>001010 [[1,2,3,4],[5,7],[6]]=>[[1,2,6,7],[3,5],[4]]=>[[1,2,3,7],[4,6],[5]]=>001100 [[1,3,5,6],[2,4],[7]]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5,7],[3,4],[6]]=>010010 [[1,2,5,6],[3,4],[7]]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,5,6],[3,4],[7]]=>010001 [[1,3,4,6],[2,5],[7]]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,6,7],[3,4],[5]]=>010100 [[1,2,4,6],[3,5],[7]]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,7],[5]]=>010101 [[1,2,3,6],[4,5],[7]]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,4,5],[3,7],[6]]=>010010 [[1,3,4,5],[2,6],[7]]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,6,7],[3,5],[4]]=>011000 [[1,2,4,5],[3,6],[7]]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,5,6],[3,7],[4]]=>011001 [[1,2,3,5],[4,6],[7]]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,5,7],[3,6],[4]]=>011010 [[1,2,3,4],[5,6],[7]]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4,7],[3,6],[5]]=>010100 [[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]=>[[1,3,4,5],[2],[6],[7]]=>100011 [[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]=>[[1,3,4,6],[2],[5],[7]]=>100101 [[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]=>[[1,3,4,7],[2],[5],[6]]=>100110 [[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]=>[[1,2,3,4],[5],[6],[7]]=>000111 [[1,4,5,7],[2],[3],[6]]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,5,6],[2],[4],[7]]=>101001 [[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]=>101010 [[1,2,5,7],[3],[4],[6]]=>[[1,2,4,7],[3],[5],[6]]=>[[1,2,3,5],[4],[6],[7]]=>001011 [[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,6,7],[2],[4],[5]]=>101100 [[1,2,4,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6]]=>[[1,2,3,6],[4],[5],[7]]=>001101 [[1,2,3,7],[4],[5],[6]]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]=>001110 [[1,4,5,6],[2],[3],[7]]=>[[1,3,4,5],[2],[6],[7]]=>[[1,4,5,6],[2],[3],[7]]=>110001 [[1,3,5,6],[2],[4],[7]]=>[[1,3,4,6],[2],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]=>110010 [[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,4,5],[3],[6],[7]]=>010011 [[1,3,4,6],[2],[5],[7]]=>[[1,3,5,6],[2],[4],[7]]=>[[1,4,6,7],[2],[3],[5]]=>110100 [[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]=>010101 [[1,2,3,6],[4],[5],[7]]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,7],[3],[5],[6]]=>010110 [[1,3,4,5],[2],[6],[7]]=>[[1,4,5,6],[2],[3],[7]]=>[[1,5,6,7],[2],[3],[4]]=>111000 [[1,2,4,5],[3],[6],[7]]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,5,6],[3],[4],[7]]=>011001 [[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,5,7],[3],[4],[6]]=>011010 [[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,6,7],[3],[4],[5]]=>011100 [[1,4,6],[2,5,7],[3]]=>[[1,3,5],[2,4,6],[7]]=>[[1,4,6],[2,5,7],[3]]=>110101 [[1,3,6],[2,5,7],[4]]=>[[1,3,4],[2,5,6],[7]]=>[[1,4,5],[2,6,7],[3]]=>110010 [[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,5],[3,4,6],[7]]=>010011 [[1,3,6],[2,4,7],[5]]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,4],[3,5,7],[6]]=>010110 [[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,4],[3,5,6],[7]]=>010101 [[1,4,5],[2,6,7],[3]]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,6],[2,5,7],[4]]=>101001 [[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,5],[2,6,7],[4]]=>101010 [[1,2,5],[3,6,7],[4]]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,5],[2,4,6],[7]]=>101011 [[1,3,4],[2,6,7],[5]]=>[[1,2,3],[4,5,6],[7]]=>[[1,3,4],[2,6,7],[5]]=>100100 [[1,2,4],[3,6,7],[5]]=>[[1,2,3],[4,5,7],[6]]=>[[1,3,4],[2,5,6],[7]]=>100101 [[1,2,3],[4,6,7],[5]]=>[[1,2,3],[4,6,7],[5]]=>[[1,3,4],[2,5,7],[6]]=>100110 [[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4,7],[5]]=>[[1,2,3],[4,5,7],[6]]=>001010 [[1,2,5],[3,4,7],[6]]=>[[1,2,5],[3,4,7],[6]]=>[[1,2,3],[4,5,6],[7]]=>001001 [[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5,7],[4]]=>[[1,2,3],[4,6,7],[5]]=>001100 [[1,2,4],[3,5,7],[6]]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,6],[2,4,7],[5]]=>101101 [[1,2,3],[4,5,7],[6]]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,4,7],[6]]=>101010 [[1,3,5],[2,4,6],[7]]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,5],[3,6,7],[4]]=>011010 [[1,2,5],[3,4,6],[7]]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,6],[3,5,7],[4]]=>011001 [[1,3,4],[2,5,6],[7]]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,6,7],[5]]=>010100 [[1,2,4],[3,5,6],[7]]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,6],[3,4,7],[5]]=>010101 [[1,2,3],[4,5,6],[7]]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,4,7],[6]]=>010010 [[1,4,7],[2,5],[3,6]]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,6],[2,4],[5,7]]=>101101 [[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,4],[6,7]]=>101010 [[1,2,7],[3,5],[4,6]]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,5],[2,6],[4,7]]=>101011 [[1,3,7],[2,4],[5,6]]=>[[1,2,3],[4,6],[5,7]]=>[[1,3,4],[2,5],[6,7]]=>100110 [[1,2,7],[3,4],[5,6]]=>[[1,2,3],[4,5],[6,7]]=>[[1,3,4],[2,6],[5,7]]=>100101 [[1,4,6],[2,5],[3,7]]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,6],[3,4],[5,7]]=>010101 [[1,3,6],[2,5],[4,7]]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,4],[6,7]]=>010010 [[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5],[6,7]]=>[[1,4,5],[2,6],[3,7]]=>110011 [[1,3,6],[2,4],[5,7]]=>[[1,3,6],[2,4],[5,7]]=>[[1,4,7],[2,5],[3,6]]=>110110 [[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4],[6,7]]=>[[1,4,6],[2,5],[3,7]]=>110101 [[1,4,5],[2,6],[3,7]]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,6],[3,5],[4,7]]=>011001 [[1,3,5],[2,6],[4,7]]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,7],[3,5],[4,6]]=>011010 [[1,2,5],[3,6],[4,7]]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,5],[3,6],[4,7]]=>011011 [[1,3,4],[2,6],[5,7]]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,7],[3,4],[5,6]]=>010100 [[1,2,4],[3,6],[5,7]]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,6],[5,7]]=>010101 [[1,2,3],[4,6],[5,7]]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,4],[3,5],[6,7]]=>010110 [[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,7],[2,5],[4,6]]=>101010 [[1,2,5],[3,4],[6,7]]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,5],[4,7]]=>101001 [[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,7],[2,4],[5,6]]=>101100 [[1,2,4],[3,5],[6,7]]=>[[1,2,7],[3,5],[4,6]]=>[[1,2,3],[4,6],[5,7]]=>001101 [[1,2,3],[4,5],[6,7]]=>[[1,2,7],[3,4],[5,6]]=>[[1,2,3],[4,5],[6,7]]=>001010 [[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,5],[2,6],[4],[7]]=>101011 [[1,4,7],[2,6],[3],[5]]=>[[1,2,3],[4,5],[6],[7]]=>[[1,3,4],[2,6],[5],[7]]=>100101 [[1,3,7],[2,6],[4],[5]]=>[[1,2,3],[4,6],[5],[7]]=>[[1,3,4],[2,7],[5],[6]]=>100110 [[1,2,7],[3,6],[4],[5]]=>[[1,2,3],[4,7],[5],[6]]=>[[1,3,4],[2,5],[6],[7]]=>100111 [[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,6],[2,7],[4],[5]]=>101101 [[1,3,7],[2,5],[4],[6]]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5],[2,7],[4],[6]]=>101010 [[1,2,7],[3,5],[4],[6]]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5],[2,4],[6],[7]]=>101011 [[1,3,7],[2,4],[5],[6]]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,7],[2,4],[5],[6]]=>101110 [[1,2,7],[3,4],[5],[6]]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,6],[2,4],[5],[7]]=>101101 [[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]=>[[1,4,5],[2,6],[3],[7]]=>110011 [[1,4,6],[2,7],[3],[5]]=>[[1,3,5],[2,4],[6],[7]]=>[[1,4,6],[2,5],[3],[7]]=>110101 [[1,3,6],[2,7],[4],[5]]=>[[1,3,6],[2,4],[5],[7]]=>[[1,4,7],[2,5],[3],[6]]=>110110 [[1,2,6],[3,7],[4],[5]]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,4],[3,5],[6],[7]]=>010111 [[1,4,5],[2,7],[3],[6]]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6],[2,5],[4],[7]]=>101001 [[1,3,5],[2,7],[4],[6]]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,7],[2,5],[4],[6]]=>101010 [[1,2,5],[3,7],[4],[6]]=>[[1,2,7],[3,4],[5],[6]]=>[[1,2,3],[4,5],[6],[7]]=>001011 [[1,3,4],[2,7],[5],[6]]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,7],[2,6],[4],[5]]=>101100 [[1,2,4],[3,7],[5],[6]]=>[[1,2,7],[3,5],[4],[6]]=>[[1,2,3],[4,6],[5],[7]]=>001101 [[1,2,3],[4,7],[5],[6]]=>[[1,2,7],[3,6],[4],[5]]=>[[1,2,3],[4,7],[5],[6]]=>001110 [[1,4,6],[2,5],[3],[7]]=>[[1,3,5],[2,6],[4],[7]]=>[[1,4,6],[2,7],[3],[5]]=>110101 [[1,3,6],[2,5],[4],[7]]=>[[1,3,4],[2,6],[5],[7]]=>[[1,4,5],[2,7],[3],[6]]=>110010 [[1,2,6],[3,5],[4],[7]]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5],[3,4],[6],[7]]=>010011 [[1,3,6],[2,4],[5],[7]]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,7],[3,4],[5],[6]]=>010110 [[1,2,6],[3,4],[5],[7]]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,6],[3,4],[5],[7]]=>010101 [[1,4,5],[2,6],[3],[7]]=>[[1,4,5],[2,6],[3],[7]]=>[[1,5,6],[2,7],[3],[4]]=>111001 [[1,3,5],[2,6],[4],[7]]=>[[1,4,6],[2,5],[3],[7]]=>[[1,5,7],[2,6],[3],[4]]=>111010 [[1,2,5],[3,6],[4],[7]]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]=>011011 [[1,3,4],[2,6],[5],[7]]=>[[1,3,6],[2,5],[4],[7]]=>[[1,4,7],[2,6],[3],[5]]=>110100 [[1,2,4],[3,6],[5],[7]]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4],[3,6],[5],[7]]=>010101 [[1,2,3],[4,6],[5],[7]]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4],[3,7],[5],[6]]=>010110 [[1,3,5],[2,4],[6],[7]]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,7],[3,5],[4],[6]]=>011010 [[1,2,5],[3,4],[6],[7]]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,6],[3,5],[4],[7]]=>011001 [[1,3,4],[2,5],[6],[7]]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,7],[3,6],[4],[5]]=>011100 [[1,2,4],[3,5],[6],[7]]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,6],[3,7],[4],[5]]=>011101 [[1,2,3],[4,5],[6],[7]]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,5],[3,7],[4],[6]]=>011010 [[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,3,4],[2],[5],[6],[7]]=>100111 [[1,5,7],[2],[3],[4],[6]]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5],[2],[4],[6],[7]]=>101011 [[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,6],[2],[4],[5],[7]]=>101101 [[1,3,7],[2],[4],[5],[6]]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,7],[2],[4],[5],[6]]=>101110 [[1,2,7],[3],[4],[5],[6]]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7]]=>001111 [[1,5,6],[2],[3],[4],[7]]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,4,5],[2],[3],[6],[7]]=>110011 [[1,4,6],[2],[3],[5],[7]]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,4,6],[2],[3],[5],[7]]=>110101 [[1,3,6],[2],[4],[5],[7]]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,4,7],[2],[3],[5],[6]]=>110110 [[1,2,6],[3],[4],[5],[7]]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4],[3],[5],[6],[7]]=>010111 [[1,4,5],[2],[3],[6],[7]]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,5,6],[2],[3],[4],[7]]=>111001 [[1,3,5],[2],[4],[6],[7]]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]=>111010 [[1,2,5],[3],[4],[6],[7]]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]=>011011 [[1,3,4],[2],[5],[6],[7]]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [[1,2,4],[3],[5],[6],[7]]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,6],[3],[4],[5],[7]]=>011101 [[1,2,3],[4],[5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,7],[3],[4],[5],[6]]=>011110 [[1,5],[2,6],[3,7],[4]]=>[[1,4],[2,5],[3,6],[7]]=>[[1,5],[2,6],[3,7],[4]]=>111011 [[1,4],[2,6],[3,7],[5]]=>[[1,3],[2,5],[4,6],[7]]=>[[1,4],[2,6],[3,7],[5]]=>110101 [[1,3],[2,6],[4,7],[5]]=>[[1,3],[2,4],[5,6],[7]]=>[[1,4],[2,5],[3,7],[6]]=>110110 [[1,2],[3,6],[4,7],[5]]=>[[1,3],[2,4],[5,7],[6]]=>[[1,4],[2,5],[3,6],[7]]=>110111 [[1,4],[2,5],[3,7],[6]]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3],[2,6],[4,7],[5]]=>101101 [[1,3],[2,5],[4,7],[6]]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3],[2,5],[4,7],[6]]=>101010 [[1,2],[3,5],[4,7],[6]]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3],[2,5],[4,6],[7]]=>101011 [[1,3],[2,4],[5,7],[6]]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3],[2,4],[5,7],[6]]=>101110 [[1,2],[3,4],[5,7],[6]]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3],[2,4],[5,6],[7]]=>101101 [[1,4],[2,5],[3,6],[7]]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2],[3,6],[4,7],[5]]=>011101 [[1,3],[2,5],[4,6],[7]]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2],[3,5],[4,7],[6]]=>011010 [[1,2],[3,5],[4,6],[7]]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2],[3,5],[4,6],[7]]=>011011 [[1,3],[2,4],[5,6],[7]]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2],[3,4],[5,7],[6]]=>010110 [[1,2],[3,4],[5,6],[7]]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2],[3,4],[5,6],[7]]=>010101 [[1,6],[2,7],[3],[4],[5]]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,4],[2,5],[3],[6],[7]]=>110111 [[1,5],[2,7],[3],[4],[6]]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3],[2,5],[4],[6],[7]]=>101011 [[1,4],[2,7],[3],[5],[6]]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3],[2,6],[4],[5],[7]]=>101101 [[1,3],[2,7],[4],[5],[6]]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3],[2,7],[4],[5],[6]]=>101110 [[1,2],[3,7],[4],[5],[6]]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3],[2,4],[5],[6],[7]]=>101111 [[1,5],[2,6],[3],[4],[7]]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,5],[2,6],[3],[4],[7]]=>111011 [[1,4],[2,6],[3],[5],[7]]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,4],[2,6],[3],[5],[7]]=>110101 [[1,3],[2,6],[4],[5],[7]]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,4],[2,7],[3],[5],[6]]=>110110 [[1,2],[3,6],[4],[5],[7]]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2],[3,4],[5],[6],[7]]=>010111 [[1,4],[2,5],[3],[6],[7]]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,6],[2,7],[3],[4],[5]]=>111101 [[1,3],[2,5],[4],[6],[7]]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [[1,2],[3,5],[4],[6],[7]]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2],[3,5],[4],[6],[7]]=>011011 [[1,3],[2,4],[5],[6],[7]]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2],[3,7],[4],[5],[6]]=>011110 [[1,2],[3,4],[5],[6],[7]]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2],[3,6],[4],[5],[7]]=>011101 [[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3],[2],[4],[5],[6],[7]]=>101111 [[1,6],[2],[3],[4],[5],[7]]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,4],[2],[3],[5],[6],[7]]=>110111 [[1,5],[2],[3],[4],[6],[7]]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,5],[2],[3],[4],[6],[7]]=>111011 [[1,4],[2],[3],[5],[6],[7]]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,6],[2],[3],[4],[5],[7]]=>111101 [[1,3],[2],[4],[5],[6],[7]]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [[1,2],[3],[4],[5],[6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]=>011111 [[1],[2],[3],[4],[5],[6],[7]]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1],[2],[3],[4],[5],[6],[7]]=>111111 [[1,2,3,4,5,6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>0000000 [[1,3,4,5,6,7,8],[2]]=>[[1,2,3,4,5,6,7],[8]]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [[1,2,4,5,6,7,8],[3]]=>[[1,2,3,4,5,6,8],[7]]=>[[1,2,3,4,5,6,7],[8]]=>0000001 [[1,2,3,5,6,7,8],[4]]=>[[1,2,3,4,5,7,8],[6]]=>[[1,2,3,4,5,6,8],[7]]=>0000010 [[1,2,3,4,6,7,8],[5]]=>[[1,2,3,4,6,7,8],[5]]=>[[1,2,3,4,5,7,8],[6]]=>0000100 [[1,2,3,4,5,7,8],[6]]=>[[1,2,3,5,6,7,8],[4]]=>[[1,2,3,4,6,7,8],[5]]=>0001000 [[1,2,3,4,5,6,8],[7]]=>[[1,2,4,5,6,7,8],[3]]=>[[1,2,3,5,6,7,8],[4]]=>0010000 [[1,2,3,4,5,6,7],[8]]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2,4,5,6,7,8],[3]]=>0100000 [[1,3,5,6,7,8],[2,4]]=>[[1,2,3,4,5,7],[6,8]]=>[[1,3,4,5,6,8],[2,7]]=>1000010 [[1,2,5,6,7,8],[3,4]]=>[[1,2,3,4,5,6],[7,8]]=>[[1,3,4,5,6,7],[2,8]]=>1000001 [[1,3,4,6,7,8],[2,5]]=>[[1,2,3,4,6,7],[5,8]]=>[[1,3,4,5,7,8],[2,6]]=>1000100 [[1,2,4,6,7,8],[3,5]]=>[[1,2,3,4,6,8],[5,7]]=>[[1,2,3,4,5,7],[6,8]]=>0000101 [[1,2,3,6,7,8],[4,5]]=>[[1,2,3,4,5,8],[6,7]]=>[[1,2,3,4,5,6],[7,8]]=>0000010 [[1,3,4,5,7,8],[2,6]]=>[[1,2,3,5,6,7],[4,8]]=>[[1,3,4,6,7,8],[2,5]]=>1001000 [[1,2,4,5,7,8],[3,6]]=>[[1,2,3,5,6,8],[4,7]]=>[[1,2,3,4,6,7],[5,8]]=>0001001 [[1,2,3,5,7,8],[4,6]]=>[[1,2,3,5,7,8],[4,6]]=>[[1,2,3,4,6,8],[5,7]]=>0001010 [[1,2,3,4,7,8],[5,6]]=>[[1,2,3,4,7,8],[5,6]]=>[[1,2,3,4,5,8],[6,7]]=>0000100 [[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]=>[[1,3,5,6,7,8],[2,4]]=>1010000 [[1,2,4,5,6,8],[3,7]]=>[[1,2,4,5,6,8],[3,7]]=>[[1,2,3,5,6,7],[4,8]]=>0010001 [[1,2,3,5,6,8],[4,7]]=>[[1,2,4,5,7,8],[3,6]]=>[[1,2,3,5,6,8],[4,7]]=>0010010 [[1,2,3,4,6,8],[5,7]]=>[[1,2,4,6,7,8],[3,5]]=>[[1,2,3,5,7,8],[4,6]]=>0010100 [[1,2,3,4,5,8],[6,7]]=>[[1,2,3,6,7,8],[4,5]]=>[[1,2,3,4,7,8],[5,6]]=>0001000 [[1,3,4,5,6,7],[2,8]]=>[[1,3,4,5,6,7],[2,8]]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [[1,2,4,5,6,7],[3,8]]=>[[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]=>0100001 [[1,2,3,5,6,7],[4,8]]=>[[1,3,4,5,7,8],[2,6]]=>[[1,2,4,5,6,8],[3,7]]=>0100010 [[1,2,3,4,6,7],[5,8]]=>[[1,3,4,6,7,8],[2,5]]=>[[1,2,4,5,7,8],[3,6]]=>0100100 [[1,2,3,4,5,7],[6,8]]=>[[1,3,5,6,7,8],[2,4]]=>[[1,2,4,6,7,8],[3,5]]=>0101000 [[1,2,3,4,5,6],[7,8]]=>[[1,2,5,6,7,8],[3,4]]=>[[1,2,3,6,7,8],[4,5]]=>0010000 [[1,4,5,6,7,8],[2],[3]]=>[[1,2,3,4,5,6],[7],[8]]=>[[1,3,4,5,6,7],[2],[8]]=>1000001 [[1,3,5,6,7,8],[2],[4]]=>[[1,2,3,4,5,7],[6],[8]]=>[[1,3,4,5,6,8],[2],[7]]=>1000010 [[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,4,5,8],[6],[7]]=>[[1,2,3,4,5,6],[7],[8]]=>0000011 [[1,3,4,6,7,8],[2],[5]]=>[[1,2,3,4,6,7],[5],[8]]=>[[1,3,4,5,7,8],[2],[6]]=>1000100 [[1,2,4,6,7,8],[3],[5]]=>[[1,2,3,4,6,8],[5],[7]]=>[[1,2,3,4,5,7],[6],[8]]=>0000101 [[1,2,3,6,7,8],[4],[5]]=>[[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,4,5,8],[6],[7]]=>0000110 [[1,3,4,5,7,8],[2],[6]]=>[[1,2,3,5,6,7],[4],[8]]=>[[1,3,4,6,7,8],[2],[5]]=>1001000 [[1,2,4,5,7,8],[3],[6]]=>[[1,2,3,5,6,8],[4],[7]]=>[[1,2,3,4,6,7],[5],[8]]=>0001001 [[1,2,3,5,7,8],[4],[6]]=>[[1,2,3,5,7,8],[4],[6]]=>[[1,2,3,4,6,8],[5],[7]]=>0001010 [[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,6,7,8],[4],[5]]=>[[1,2,3,4,7,8],[5],[6]]=>0001100 [[1,3,4,5,6,8],[2],[7]]=>[[1,2,4,5,6,7],[3],[8]]=>[[1,3,5,6,7,8],[2],[4]]=>1010000 [[1,2,4,5,6,8],[3],[7]]=>[[1,2,4,5,6,8],[3],[7]]=>[[1,2,3,5,6,7],[4],[8]]=>0010001 [[1,2,3,5,6,8],[4],[7]]=>[[1,2,4,5,7,8],[3],[6]]=>[[1,2,3,5,6,8],[4],[7]]=>0010010 [[1,2,3,4,6,8],[5],[7]]=>[[1,2,4,6,7,8],[3],[5]]=>[[1,2,3,5,7,8],[4],[6]]=>0010100 [[1,2,3,4,5,8],[6],[7]]=>[[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,6,7,8],[4],[5]]=>0011000 [[1,3,4,5,6,7],[2],[8]]=>[[1,3,4,5,6,7],[2],[8]]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [[1,2,4,5,6,7],[3],[8]]=>[[1,3,4,5,6,8],[2],[7]]=>[[1,2,4,5,6,7],[3],[8]]=>0100001 [[1,2,3,5,6,7],[4],[8]]=>[[1,3,4,5,7,8],[2],[6]]=>[[1,2,4,5,6,8],[3],[7]]=>0100010 [[1,2,3,4,6,7],[5],[8]]=>[[1,3,4,6,7,8],[2],[5]]=>[[1,2,4,5,7,8],[3],[6]]=>0100100 [[1,2,3,4,5,7],[6],[8]]=>[[1,3,5,6,7,8],[2],[4]]=>[[1,2,4,6,7,8],[3],[5]]=>0101000 [[1,2,3,4,5,6],[7],[8]]=>[[1,4,5,6,7,8],[2],[3]]=>[[1,2,5,6,7,8],[3],[4]]=>0110000 [[1,3,5,7,8],[2,4,6]]=>[[1,2,3,5,7],[4,6,8]]=>[[1,3,4,6,8],[2,5,7]]=>1001010 [[1,2,5,7,8],[3,4,6]]=>[[1,2,3,5,6],[4,7,8]]=>[[1,3,4,6,7],[2,5,8]]=>1001001 [[1,3,4,7,8],[2,5,6]]=>[[1,2,3,4,7],[5,6,8]]=>[[1,3,4,5,8],[2,6,7]]=>1000100 [[1,2,4,7,8],[3,5,6]]=>[[1,2,3,4,6],[5,7,8]]=>[[1,3,4,5,7],[2,6,8]]=>1000101 [[1,2,3,7,8],[4,5,6]]=>[[1,2,3,4,5],[6,7,8]]=>[[1,3,4,5,6],[2,7,8]]=>1000010 [[1,3,5,6,8],[2,4,7]]=>[[1,2,4,5,7],[3,6,8]]=>[[1,3,5,6,8],[2,4,7]]=>1010010 [[1,2,5,6,8],[3,4,7]]=>[[1,2,4,5,6],[3,7,8]]=>[[1,3,5,6,7],[2,4,8]]=>1010001 [[1,3,4,6,8],[2,5,7]]=>[[1,2,4,6,7],[3,5,8]]=>[[1,3,5,7,8],[2,4,6]]=>1010100 [[1,2,4,6,8],[3,5,7]]=>[[1,2,4,6,8],[3,5,7]]=>[[1,2,3,5,7],[4,6,8]]=>0010101 [[1,2,3,6,8],[4,5,7]]=>[[1,2,4,5,8],[3,6,7]]=>[[1,2,3,5,6],[4,7,8]]=>0010010 [[1,3,4,5,8],[2,6,7]]=>[[1,2,3,6,7],[4,5,8]]=>[[1,3,4,7,8],[2,5,6]]=>1001000 [[1,2,4,5,8],[3,6,7]]=>[[1,2,3,6,8],[4,5,7]]=>[[1,2,3,4,7],[5,6,8]]=>0001001 [[1,2,3,5,8],[4,6,7]]=>[[1,2,3,5,8],[4,6,7]]=>[[1,2,3,4,6],[5,7,8]]=>0001010 [[1,2,3,4,8],[5,6,7]]=>[[1,2,3,4,8],[5,6,7]]=>[[1,2,3,4,5],[6,7,8]]=>0000100 [[1,3,5,6,7],[2,4,8]]=>[[1,3,4,5,7],[2,6,8]]=>[[1,2,5,6,8],[3,4,7]]=>0100010 [[1,2,5,6,7],[3,4,8]]=>[[1,3,4,5,6],[2,7,8]]=>[[1,2,5,6,7],[3,4,8]]=>0100001 [[1,3,4,6,7],[2,5,8]]=>[[1,3,4,6,7],[2,5,8]]=>[[1,2,5,7,8],[3,4,6]]=>0100100 [[1,2,4,6,7],[3,5,8]]=>[[1,3,4,6,8],[2,5,7]]=>[[1,2,4,5,7],[3,6,8]]=>0100101 [[1,2,3,6,7],[4,5,8]]=>[[1,3,4,5,8],[2,6,7]]=>[[1,2,4,5,6],[3,7,8]]=>0100010 [[1,3,4,5,7],[2,6,8]]=>[[1,3,5,6,7],[2,4,8]]=>[[1,2,4,7,8],[3,5,6]]=>0101000 [[1,2,4,5,7],[3,6,8]]=>[[1,3,5,6,8],[2,4,7]]=>[[1,2,4,6,7],[3,5,8]]=>0101001 [[1,2,3,5,7],[4,6,8]]=>[[1,3,5,7,8],[2,4,6]]=>[[1,2,4,6,8],[3,5,7]]=>0101010 [[1,2,3,4,7],[5,6,8]]=>[[1,3,4,7,8],[2,5,6]]=>[[1,2,4,5,8],[3,6,7]]=>0100100 [[1,3,4,5,6],[2,7,8]]=>[[1,2,5,6,7],[3,4,8]]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [[1,2,4,5,6],[3,7,8]]=>[[1,2,5,6,8],[3,4,7]]=>[[1,2,3,6,7],[4,5,8]]=>0010001 [[1,2,3,5,6],[4,7,8]]=>[[1,2,5,7,8],[3,4,6]]=>[[1,2,3,6,8],[4,5,7]]=>0010010 [[1,2,3,4,6],[5,7,8]]=>[[1,2,4,7,8],[3,5,6]]=>[[1,2,3,5,8],[4,6,7]]=>0010100 [[1,2,3,4,5],[6,7,8]]=>[[1,2,3,7,8],[4,5,6]]=>[[1,2,3,4,8],[5,6,7]]=>0001000 [[1,4,6,7,8],[2,5],[3]]=>[[1,2,3,4,6],[5,7],[8]]=>[[1,3,4,5,7],[2,8],[6]]=>1000101 [[1,3,6,7,8],[2,5],[4]]=>[[1,2,3,4,5],[6,7],[8]]=>[[1,3,4,5,6],[2,8],[7]]=>1000010 [[1,2,6,7,8],[3,5],[4]]=>[[1,2,3,4,5],[6,8],[7]]=>[[1,3,4,5,6],[2,7],[8]]=>1000011 [[1,3,6,7,8],[2,4],[5]]=>[[1,2,3,4,7],[5,8],[6]]=>[[1,3,4,5,8],[2,6],[7]]=>1000110 [[1,2,6,7,8],[3,4],[5]]=>[[1,2,3,4,6],[5,8],[7]]=>[[1,3,4,5,7],[2,6],[8]]=>1000101 [[1,4,5,7,8],[2,6],[3]]=>[[1,2,3,5,6],[4,7],[8]]=>[[1,3,4,6,7],[2,8],[5]]=>1001001 [[1,3,5,7,8],[2,6],[4]]=>[[1,2,3,5,7],[4,6],[8]]=>[[1,3,4,6,8],[2,7],[5]]=>1001010 [[1,2,5,7,8],[3,6],[4]]=>[[1,2,3,5,8],[4,6],[7]]=>[[1,2,3,4,6],[5,7],[8]]=>0001011 [[1,3,4,7,8],[2,6],[5]]=>[[1,2,3,4,7],[5,6],[8]]=>[[1,3,4,5,8],[2,7],[6]]=>1000100 [[1,2,4,7,8],[3,6],[5]]=>[[1,2,3,4,8],[5,6],[7]]=>[[1,2,3,4,5],[6,7],[8]]=>0000101 [[1,2,3,7,8],[4,6],[5]]=>[[1,2,3,4,8],[5,7],[6]]=>[[1,2,3,4,5],[6,8],[7]]=>0000110 [[1,3,5,7,8],[2,4],[6]]=>[[1,2,3,5,7],[4,8],[6]]=>[[1,3,4,6,8],[2,5],[7]]=>1001010 [[1,2,5,7,8],[3,4],[6]]=>[[1,2,3,5,6],[4,8],[7]]=>[[1,3,4,6,7],[2,5],[8]]=>1001001 [[1,3,4,7,8],[2,5],[6]]=>[[1,2,3,6,7],[4,8],[5]]=>[[1,3,4,7,8],[2,5],[6]]=>1001100 [[1,2,4,7,8],[3,5],[6]]=>[[1,2,3,6,8],[4,7],[5]]=>[[1,2,3,4,7],[5,8],[6]]=>0001101 [[1,2,3,7,8],[4,5],[6]]=>[[1,2,3,5,8],[4,7],[6]]=>[[1,2,3,4,6],[5,8],[7]]=>0001010 [[1,4,5,6,8],[2,7],[3]]=>[[1,2,4,5,6],[3,7],[8]]=>[[1,3,5,6,7],[2,8],[4]]=>1010001 [[1,3,5,6,8],[2,7],[4]]=>[[1,2,4,5,7],[3,6],[8]]=>[[1,3,5,6,8],[2,7],[4]]=>1010010 [[1,2,5,6,8],[3,7],[4]]=>[[1,2,4,5,8],[3,6],[7]]=>[[1,2,3,5,6],[4,7],[8]]=>0010011 [[1,3,4,6,8],[2,7],[5]]=>[[1,2,4,6,7],[3,5],[8]]=>[[1,3,5,7,8],[2,6],[4]]=>1010100 [[1,2,4,6,8],[3,7],[5]]=>[[1,2,4,6,8],[3,5],[7]]=>[[1,2,3,5,7],[4,6],[8]]=>0010101 [[1,2,3,6,8],[4,7],[5]]=>[[1,2,4,7,8],[3,5],[6]]=>[[1,2,3,5,8],[4,6],[7]]=>0010110 [[1,3,4,5,8],[2,7],[6]]=>[[1,2,3,6,7],[4,5],[8]]=>[[1,3,4,7,8],[2,6],[5]]=>1001000 [[1,2,4,5,8],[3,7],[6]]=>[[1,2,3,6,8],[4,5],[7]]=>[[1,2,3,4,7],[5,6],[8]]=>0001001 [[1,2,3,5,8],[4,7],[6]]=>[[1,2,3,7,8],[4,5],[6]]=>[[1,2,3,4,8],[5,6],[7]]=>0001010 [[1,2,3,4,8],[5,7],[6]]=>[[1,2,3,7,8],[4,6],[5]]=>[[1,2,3,4,8],[5,7],[6]]=>0001100 [[1,3,5,6,8],[2,4],[7]]=>[[1,2,4,5,7],[3,8],[6]]=>[[1,3,5,6,8],[2,4],[7]]=>1010010 [[1,2,5,6,8],[3,4],[7]]=>[[1,2,4,5,6],[3,8],[7]]=>[[1,3,5,6,7],[2,4],[8]]=>1010001 [[1,3,4,6,8],[2,5],[7]]=>[[1,2,4,6,7],[3,8],[5]]=>[[1,3,5,7,8],[2,4],[6]]=>1010100 [[1,2,4,6,8],[3,5],[7]]=>[[1,2,4,6,8],[3,7],[5]]=>[[1,2,3,5,7],[4,8],[6]]=>0010101 [[1,2,3,6,8],[4,5],[7]]=>[[1,2,4,5,8],[3,7],[6]]=>[[1,2,3,5,6],[4,8],[7]]=>0010010 [[1,3,4,5,8],[2,6],[7]]=>[[1,2,5,6,7],[3,8],[4]]=>[[1,3,6,7,8],[2,4],[5]]=>1011000 [[1,2,4,5,8],[3,6],[7]]=>[[1,2,5,6,8],[3,7],[4]]=>[[1,2,3,6,7],[4,8],[5]]=>0011001 [[1,2,3,5,8],[4,6],[7]]=>[[1,2,5,7,8],[3,6],[4]]=>[[1,2,3,6,8],[4,7],[5]]=>0011010 [[1,2,3,4,8],[5,6],[7]]=>[[1,2,4,7,8],[3,6],[5]]=>[[1,2,3,5,8],[4,7],[6]]=>0010100 [[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]=>[[1,4,5,6,7],[2,8],[3]]=>1100001 [[1,3,5,6,7],[2,8],[4]]=>[[1,3,4,5,7],[2,6],[8]]=>[[1,4,5,6,8],[2,7],[3]]=>1100010 [[1,2,5,6,7],[3,8],[4]]=>[[1,3,4,5,8],[2,6],[7]]=>[[1,2,4,5,6],[3,7],[8]]=>0100011 [[1,3,4,6,7],[2,8],[5]]=>[[1,3,4,6,7],[2,5],[8]]=>[[1,4,5,7,8],[2,6],[3]]=>1100100 [[1,2,4,6,7],[3,8],[5]]=>[[1,3,4,6,8],[2,5],[7]]=>[[1,2,4,5,7],[3,6],[8]]=>0100101 [[1,2,3,6,7],[4,8],[5]]=>[[1,3,4,7,8],[2,5],[6]]=>[[1,2,4,5,8],[3,6],[7]]=>0100110 [[1,3,4,5,7],[2,8],[6]]=>[[1,3,5,6,7],[2,4],[8]]=>[[1,4,6,7,8],[2,5],[3]]=>1101000 [[1,2,4,5,7],[3,8],[6]]=>[[1,3,5,6,8],[2,4],[7]]=>[[1,2,4,6,7],[3,5],[8]]=>0101001 [[1,2,3,5,7],[4,8],[6]]=>[[1,3,5,7,8],[2,4],[6]]=>[[1,2,4,6,8],[3,5],[7]]=>0101010 [[1,2,3,4,7],[5,8],[6]]=>[[1,3,6,7,8],[2,4],[5]]=>[[1,2,4,7,8],[3,5],[6]]=>0101100 [[1,3,4,5,6],[2,8],[7]]=>[[1,2,5,6,7],[3,4],[8]]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [[1,2,4,5,6],[3,8],[7]]=>[[1,2,5,6,8],[3,4],[7]]=>[[1,2,3,6,7],[4,5],[8]]=>0010001 [[1,2,3,5,6],[4,8],[7]]=>[[1,2,5,7,8],[3,4],[6]]=>[[1,2,3,6,8],[4,5],[7]]=>0010010 [[1,2,3,4,6],[5,8],[7]]=>[[1,2,6,7,8],[3,4],[5]]=>[[1,2,3,7,8],[4,5],[6]]=>0010100 [[1,2,3,4,5],[6,8],[7]]=>[[1,2,6,7,8],[3,5],[4]]=>[[1,2,3,7,8],[4,6],[5]]=>0011000 [[1,3,5,6,7],[2,4],[8]]=>[[1,3,4,5,7],[2,8],[6]]=>[[1,2,5,6,8],[3,4],[7]]=>0100010 [[1,2,5,6,7],[3,4],[8]]=>[[1,3,4,5,6],[2,8],[7]]=>[[1,2,5,6,7],[3,4],[8]]=>0100001 [[1,3,4,6,7],[2,5],[8]]=>[[1,3,4,6,7],[2,8],[5]]=>[[1,2,5,7,8],[3,4],[6]]=>0100100 [[1,2,4,6,7],[3,5],[8]]=>[[1,3,4,6,8],[2,7],[5]]=>[[1,2,4,5,7],[3,8],[6]]=>0100101 [[1,2,3,6,7],[4,5],[8]]=>[[1,3,4,5,8],[2,7],[6]]=>[[1,2,4,5,6],[3,8],[7]]=>0100010 [[1,3,4,5,7],[2,6],[8]]=>[[1,3,5,6,7],[2,8],[4]]=>[[1,2,6,7,8],[3,4],[5]]=>0101000 [[1,2,4,5,7],[3,6],[8]]=>[[1,3,5,6,8],[2,7],[4]]=>[[1,2,4,6,7],[3,8],[5]]=>0101001 [[1,2,3,5,7],[4,6],[8]]=>[[1,3,5,7,8],[2,6],[4]]=>[[1,2,4,6,8],[3,7],[5]]=>0101010 [[1,2,3,4,7],[5,6],[8]]=>[[1,3,4,7,8],[2,6],[5]]=>[[1,2,4,5,8],[3,7],[6]]=>0100100 [[1,3,4,5,6],[2,7],[8]]=>[[1,4,5,6,7],[2,8],[3]]=>[[1,2,6,7,8],[3,5],[4]]=>0110000 [[1,2,4,5,6],[3,7],[8]]=>[[1,4,5,6,8],[2,7],[3]]=>[[1,2,5,6,7],[3,8],[4]]=>0110001 [[1,2,3,5,6],[4,7],[8]]=>[[1,4,5,7,8],[2,6],[3]]=>[[1,2,5,6,8],[3,7],[4]]=>0110010 [[1,2,3,4,6],[5,7],[8]]=>[[1,4,6,7,8],[2,5],[3]]=>[[1,2,5,7,8],[3,6],[4]]=>0110100 [[1,2,3,4,5],[6,7],[8]]=>[[1,3,6,7,8],[2,5],[4]]=>[[1,2,4,7,8],[3,6],[5]]=>0101000 [[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]=>[[1,3,4,5,6],[2],[7],[8]]=>1000011 [[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]=>[[1,3,4,5,7],[2],[6],[8]]=>1000101 [[1,3,6,7,8],[2],[4],[5]]=>[[1,2,3,4,7],[5],[6],[8]]=>[[1,3,4,5,8],[2],[6],[7]]=>1000110 [[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]=>[[1,2,3,4,5],[6],[7],[8]]=>0000111 [[1,4,5,7,8],[2],[3],[6]]=>[[1,2,3,5,6],[4],[7],[8]]=>[[1,3,4,6,7],[2],[5],[8]]=>1001001 [[1,3,5,7,8],[2],[4],[6]]=>[[1,2,3,5,7],[4],[6],[8]]=>[[1,3,4,6,8],[2],[5],[7]]=>1001010 [[1,2,5,7,8],[3],[4],[6]]=>[[1,2,3,5,8],[4],[6],[7]]=>[[1,2,3,4,6],[5],[7],[8]]=>0001011 [[1,3,4,7,8],[2],[5],[6]]=>[[1,2,3,6,7],[4],[5],[8]]=>[[1,3,4,7,8],[2],[5],[6]]=>1001100 [[1,2,4,7,8],[3],[5],[6]]=>[[1,2,3,6,8],[4],[5],[7]]=>[[1,2,3,4,7],[5],[6],[8]]=>0001101 [[1,2,3,7,8],[4],[5],[6]]=>[[1,2,3,7,8],[4],[5],[6]]=>[[1,2,3,4,8],[5],[6],[7]]=>0001110 [[1,4,5,6,8],[2],[3],[7]]=>[[1,2,4,5,6],[3],[7],[8]]=>[[1,3,5,6,7],[2],[4],[8]]=>1010001 [[1,3,5,6,8],[2],[4],[7]]=>[[1,2,4,5,7],[3],[6],[8]]=>[[1,3,5,6,8],[2],[4],[7]]=>1010010 [[1,2,5,6,8],[3],[4],[7]]=>[[1,2,4,5,8],[3],[6],[7]]=>[[1,2,3,5,6],[4],[7],[8]]=>0010011 [[1,3,4,6,8],[2],[5],[7]]=>[[1,2,4,6,7],[3],[5],[8]]=>[[1,3,5,7,8],[2],[4],[6]]=>1010100 [[1,2,4,6,8],[3],[5],[7]]=>[[1,2,4,6,8],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6],[8]]=>0010101 [[1,2,3,6,8],[4],[5],[7]]=>[[1,2,4,7,8],[3],[5],[6]]=>[[1,2,3,5,8],[4],[6],[7]]=>0010110 [[1,3,4,5,8],[2],[6],[7]]=>[[1,2,5,6,7],[3],[4],[8]]=>[[1,3,6,7,8],[2],[4],[5]]=>1011000 [[1,2,4,5,8],[3],[6],[7]]=>[[1,2,5,6,8],[3],[4],[7]]=>[[1,2,3,6,7],[4],[5],[8]]=>0011001 [[1,2,3,5,8],[4],[6],[7]]=>[[1,2,5,7,8],[3],[4],[6]]=>[[1,2,3,6,8],[4],[5],[7]]=>0011010 [[1,2,3,4,8],[5],[6],[7]]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,7,8],[4],[5],[6]]=>0011100 [[1,4,5,6,7],[2],[3],[8]]=>[[1,3,4,5,6],[2],[7],[8]]=>[[1,4,5,6,7],[2],[3],[8]]=>1100001 [[1,3,5,6,7],[2],[4],[8]]=>[[1,3,4,5,7],[2],[6],[8]]=>[[1,4,5,6,8],[2],[3],[7]]=>1100010 [[1,2,5,6,7],[3],[4],[8]]=>[[1,3,4,5,8],[2],[6],[7]]=>[[1,2,4,5,6],[3],[7],[8]]=>0100011 [[1,3,4,6,7],[2],[5],[8]]=>[[1,3,4,6,7],[2],[5],[8]]=>[[1,4,5,7,8],[2],[3],[6]]=>1100100 [[1,2,4,6,7],[3],[5],[8]]=>[[1,3,4,6,8],[2],[5],[7]]=>[[1,2,4,5,7],[3],[6],[8]]=>0100101 [[1,2,3,6,7],[4],[5],[8]]=>[[1,3,4,7,8],[2],[5],[6]]=>[[1,2,4,5,8],[3],[6],[7]]=>0100110 [[1,3,4,5,7],[2],[6],[8]]=>[[1,3,5,6,7],[2],[4],[8]]=>[[1,4,6,7,8],[2],[3],[5]]=>1101000 [[1,2,4,5,7],[3],[6],[8]]=>[[1,3,5,6,8],[2],[4],[7]]=>[[1,2,4,6,7],[3],[5],[8]]=>0101001 [[1,2,3,5,7],[4],[6],[8]]=>[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,4,6,8],[3],[5],[7]]=>0101010 [[1,2,3,4,7],[5],[6],[8]]=>[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,4,7,8],[3],[5],[6]]=>0101100 [[1,3,4,5,6],[2],[7],[8]]=>[[1,4,5,6,7],[2],[3],[8]]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [[1,2,4,5,6],[3],[7],[8]]=>[[1,4,5,6,8],[2],[3],[7]]=>[[1,2,5,6,7],[3],[4],[8]]=>0110001 [[1,2,3,5,6],[4],[7],[8]]=>[[1,4,5,7,8],[2],[3],[6]]=>[[1,2,5,6,8],[3],[4],[7]]=>0110010 [[1,2,3,4,6],[5],[7],[8]]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,5,7,8],[3],[4],[6]]=>0110100 [[1,2,3,4,5],[6],[7],[8]]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,6,7,8],[3],[4],[5]]=>0111000 [[1,3,5,7],[2,4,6,8]]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2,4,6],[3,5,7,8]]=>0101010 [[1,2,5,7],[3,4,6,8]]=>[[1,3,5,6],[2,4,7,8]]=>[[1,2,4,7],[3,5,6,8]]=>0101001 [[1,3,4,7],[2,5,6,8]]=>[[1,3,4,7],[2,5,6,8]]=>[[1,2,4,5],[3,6,7,8]]=>0100100 [[1,2,4,7],[3,5,6,8]]=>[[1,3,4,6],[2,5,7,8]]=>[[1,2,5,7],[3,4,6,8]]=>0100101 [[1,2,3,7],[4,5,6,8]]=>[[1,3,4,5],[2,6,7,8]]=>[[1,2,5,6],[3,4,7,8]]=>0100010 [[1,3,5,6],[2,4,7,8]]=>[[1,2,5,7],[3,4,6,8]]=>[[1,2,3,6],[4,5,7,8]]=>0010010 [[1,2,5,6],[3,4,7,8]]=>[[1,2,5,6],[3,4,7,8]]=>[[1,2,3,7],[4,5,6,8]]=>0010001 [[1,3,4,6],[2,5,7,8]]=>[[1,2,4,7],[3,5,6,8]]=>[[1,2,3,5],[4,6,7,8]]=>0010100 [[1,2,4,6],[3,5,7,8]]=>[[1,2,4,6],[3,5,7,8]]=>[[1,3,5,7],[2,4,6,8]]=>1010101 [[1,2,3,6],[4,5,7,8]]=>[[1,2,4,5],[3,6,7,8]]=>[[1,3,5,6],[2,4,7,8]]=>1010010 [[1,3,4,5],[2,6,7,8]]=>[[1,2,3,7],[4,5,6,8]]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [[1,2,4,5],[3,6,7,8]]=>[[1,2,3,6],[4,5,7,8]]=>[[1,3,4,7],[2,5,6,8]]=>1001001 [[1,2,3,5],[4,6,7,8]]=>[[1,2,3,5],[4,6,7,8]]=>[[1,3,4,6],[2,5,7,8]]=>1001010 [[1,2,3,4],[5,6,7,8]]=>[[1,2,3,4],[5,6,7,8]]=>[[1,3,4,5],[2,6,7,8]]=>1000100 [[1,4,6,8],[2,5,7],[3]]=>[[1,2,4,6],[3,5,7],[8]]=>[[1,3,5,7],[2,6,8],[4]]=>1010101 [[1,3,6,8],[2,5,7],[4]]=>[[1,2,4,5],[3,6,7],[8]]=>[[1,3,5,6],[2,7,8],[4]]=>1010010 [[1,2,6,8],[3,5,7],[4]]=>[[1,2,4,5],[3,6,8],[7]]=>[[1,3,5,6],[2,4,7],[8]]=>1010011 [[1,3,6,8],[2,4,7],[5]]=>[[1,2,4,7],[3,5,8],[6]]=>[[1,3,5,8],[2,4,6],[7]]=>1010110 [[1,2,6,8],[3,4,7],[5]]=>[[1,2,4,6],[3,5,8],[7]]=>[[1,3,5,7],[2,4,6],[8]]=>1010101 [[1,4,5,8],[2,6,7],[3]]=>[[1,2,3,6],[4,5,7],[8]]=>[[1,3,4,7],[2,6,8],[5]]=>1001001 [[1,3,5,8],[2,6,7],[4]]=>[[1,2,3,5],[4,6,7],[8]]=>[[1,3,4,6],[2,7,8],[5]]=>1001010 [[1,2,5,8],[3,6,7],[4]]=>[[1,2,3,5],[4,6,8],[7]]=>[[1,3,4,6],[2,5,7],[8]]=>1001011 [[1,3,4,8],[2,6,7],[5]]=>[[1,2,3,4],[5,6,7],[8]]=>[[1,3,4,5],[2,7,8],[6]]=>1000100 [[1,2,4,8],[3,6,7],[5]]=>[[1,2,3,4],[5,6,8],[7]]=>[[1,3,4,5],[2,6,7],[8]]=>1000101 [[1,2,3,8],[4,6,7],[5]]=>[[1,2,3,4],[5,7,8],[6]]=>[[1,3,4,5],[2,6,8],[7]]=>1000110 [[1,3,5,8],[2,4,7],[6]]=>[[1,2,3,7],[4,5,8],[6]]=>[[1,3,4,8],[2,5,6],[7]]=>1001010 [[1,2,5,8],[3,4,7],[6]]=>[[1,2,3,6],[4,5,8],[7]]=>[[1,3,4,7],[2,5,6],[8]]=>1001001 [[1,3,4,8],[2,5,7],[6]]=>[[1,2,3,7],[4,6,8],[5]]=>[[1,3,4,8],[2,5,7],[6]]=>1001100 [[1,2,4,8],[3,5,7],[6]]=>[[1,2,3,6],[4,7,8],[5]]=>[[1,3,4,7],[2,5,8],[6]]=>1001101 [[1,2,3,8],[4,5,7],[6]]=>[[1,2,3,5],[4,7,8],[6]]=>[[1,3,4,6],[2,5,8],[7]]=>1001010 [[1,3,5,8],[2,4,6],[7]]=>[[1,2,5,7],[3,6,8],[4]]=>[[1,3,6,8],[2,4,7],[5]]=>1011010 [[1,2,5,8],[3,4,6],[7]]=>[[1,2,5,6],[3,7,8],[4]]=>[[1,3,6,7],[2,4,8],[5]]=>1011001 [[1,3,4,8],[2,5,6],[7]]=>[[1,2,4,7],[3,6,8],[5]]=>[[1,3,5,8],[2,4,7],[6]]=>1010100 [[1,2,4,8],[3,5,6],[7]]=>[[1,2,4,6],[3,7,8],[5]]=>[[1,3,5,7],[2,4,8],[6]]=>1010101 [[1,2,3,8],[4,5,6],[7]]=>[[1,2,4,5],[3,7,8],[6]]=>[[1,3,5,6],[2,4,8],[7]]=>1010010 [[1,4,6,7],[2,5,8],[3]]=>[[1,3,4,6],[2,5,7],[8]]=>[[1,4,5,7],[2,6,8],[3]]=>1100101 [[1,3,6,7],[2,5,8],[4]]=>[[1,3,4,5],[2,6,7],[8]]=>[[1,4,5,6],[2,7,8],[3]]=>1100010 [[1,2,6,7],[3,5,8],[4]]=>[[1,3,4,5],[2,6,8],[7]]=>[[1,2,5,6],[3,4,7],[8]]=>0100011 [[1,3,6,7],[2,4,8],[5]]=>[[1,3,4,7],[2,5,8],[6]]=>[[1,2,5,8],[3,4,6],[7]]=>0100110 [[1,2,6,7],[3,4,8],[5]]=>[[1,3,4,6],[2,5,8],[7]]=>[[1,2,5,7],[3,4,6],[8]]=>0100101 [[1,4,5,7],[2,6,8],[3]]=>[[1,3,5,6],[2,4,7],[8]]=>[[1,4,6,7],[2,5,8],[3]]=>1101001 [[1,3,5,7],[2,6,8],[4]]=>[[1,3,5,7],[2,4,6],[8]]=>[[1,4,6,8],[2,5,7],[3]]=>1101010 [[1,2,5,7],[3,6,8],[4]]=>[[1,3,5,8],[2,4,6],[7]]=>[[1,2,4,6],[3,5,7],[8]]=>0101011 [[1,3,4,7],[2,6,8],[5]]=>[[1,3,4,7],[2,5,6],[8]]=>[[1,4,5,8],[2,6,7],[3]]=>1100100 [[1,2,4,7],[3,6,8],[5]]=>[[1,3,4,8],[2,5,6],[7]]=>[[1,2,4,5],[3,6,7],[8]]=>0100101 [[1,2,3,7],[4,6,8],[5]]=>[[1,3,4,8],[2,5,7],[6]]=>[[1,2,4,5],[3,6,8],[7]]=>0100110 [[1,3,5,7],[2,4,8],[6]]=>[[1,3,5,7],[2,4,8],[6]]=>[[1,2,4,8],[3,5,6],[7]]=>0101010 [[1,2,5,7],[3,4,8],[6]]=>[[1,3,5,6],[2,4,8],[7]]=>[[1,2,4,7],[3,5,6],[8]]=>0101001 [[1,3,4,7],[2,5,8],[6]]=>[[1,3,6,7],[2,4,8],[5]]=>[[1,2,4,8],[3,5,7],[6]]=>0101100 [[1,2,4,7],[3,5,8],[6]]=>[[1,3,6,8],[2,4,7],[5]]=>[[1,2,4,7],[3,5,8],[6]]=>0101101 [[1,2,3,7],[4,5,8],[6]]=>[[1,3,5,8],[2,4,7],[6]]=>[[1,2,4,6],[3,5,8],[7]]=>0101010 [[1,4,5,6],[2,7,8],[3]]=>[[1,2,5,6],[3,4,7],[8]]=>[[1,3,6,7],[2,5,8],[4]]=>1010001 [[1,3,5,6],[2,7,8],[4]]=>[[1,2,5,7],[3,4,6],[8]]=>[[1,3,6,8],[2,5,7],[4]]=>1010010 [[1,2,5,6],[3,7,8],[4]]=>[[1,2,5,8],[3,4,6],[7]]=>[[1,2,3,6],[4,5,7],[8]]=>0010011 [[1,3,4,6],[2,7,8],[5]]=>[[1,2,4,7],[3,5,6],[8]]=>[[1,3,5,8],[2,6,7],[4]]=>1010100 [[1,2,4,6],[3,7,8],[5]]=>[[1,2,4,8],[3,5,6],[7]]=>[[1,2,3,5],[4,6,7],[8]]=>0010101 [[1,2,3,6],[4,7,8],[5]]=>[[1,2,4,8],[3,5,7],[6]]=>[[1,2,3,5],[4,6,8],[7]]=>0010110 [[1,3,4,5],[2,7,8],[6]]=>[[1,2,3,7],[4,5,6],[8]]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [[1,2,4,5],[3,7,8],[6]]=>[[1,2,3,8],[4,5,6],[7]]=>[[1,2,3,4],[5,6,7],[8]]=>0001001 [[1,2,3,5],[4,7,8],[6]]=>[[1,2,3,8],[4,5,7],[6]]=>[[1,2,3,4],[5,6,8],[7]]=>0001010 [[1,2,3,4],[5,7,8],[6]]=>[[1,2,3,8],[4,6,7],[5]]=>[[1,2,3,4],[5,7,8],[6]]=>0001100 [[1,3,5,6],[2,4,8],[7]]=>[[1,2,5,7],[3,4,8],[6]]=>[[1,2,3,8],[4,5,6],[7]]=>0010010 [[1,2,5,6],[3,4,8],[7]]=>[[1,2,5,6],[3,4,8],[7]]=>[[1,2,3,7],[4,5,6],[8]]=>0010001 [[1,3,4,6],[2,5,8],[7]]=>[[1,2,6,7],[3,4,8],[5]]=>[[1,2,3,8],[4,5,7],[6]]=>0010100 [[1,2,4,6],[3,5,8],[7]]=>[[1,2,6,8],[3,4,7],[5]]=>[[1,2,3,7],[4,5,8],[6]]=>0010101 [[1,2,3,6],[4,5,8],[7]]=>[[1,2,5,8],[3,4,7],[6]]=>[[1,2,3,6],[4,5,8],[7]]=>0010010 [[1,3,4,5],[2,6,8],[7]]=>[[1,2,6,7],[3,5,8],[4]]=>[[1,2,3,8],[4,6,7],[5]]=>0011000 [[1,2,4,5],[3,6,8],[7]]=>[[1,2,6,8],[3,5,7],[4]]=>[[1,2,3,7],[4,6,8],[5]]=>0011001 [[1,2,3,5],[4,6,8],[7]]=>[[1,2,5,8],[3,6,7],[4]]=>[[1,2,3,6],[4,7,8],[5]]=>0011010 [[1,2,3,4],[5,6,8],[7]]=>[[1,2,4,8],[3,6,7],[5]]=>[[1,2,3,5],[4,7,8],[6]]=>0010100 [[1,3,5,7],[2,4,6],[8]]=>[[1,3,5,7],[2,6,8],[4]]=>[[1,2,6,8],[3,4,7],[5]]=>0101010 [[1,2,5,7],[3,4,6],[8]]=>[[1,3,5,6],[2,7,8],[4]]=>[[1,2,6,7],[3,4,8],[5]]=>0101001 [[1,3,4,7],[2,5,6],[8]]=>[[1,3,4,7],[2,6,8],[5]]=>[[1,2,5,8],[3,4,7],[6]]=>0100100 [[1,2,4,7],[3,5,6],[8]]=>[[1,3,4,6],[2,7,8],[5]]=>[[1,2,5,7],[3,4,8],[6]]=>0100101 [[1,2,3,7],[4,5,6],[8]]=>[[1,3,4,5],[2,7,8],[6]]=>[[1,2,5,6],[3,4,8],[7]]=>0100010 [[1,3,5,6],[2,4,7],[8]]=>[[1,4,5,7],[2,6,8],[3]]=>[[1,2,6,8],[3,5,7],[4]]=>0110010 [[1,2,5,6],[3,4,7],[8]]=>[[1,4,5,6],[2,7,8],[3]]=>[[1,2,6,7],[3,5,8],[4]]=>0110001 [[1,3,4,6],[2,5,7],[8]]=>[[1,4,6,7],[2,5,8],[3]]=>[[1,2,5,8],[3,6,7],[4]]=>0110100 [[1,2,4,6],[3,5,7],[8]]=>[[1,4,6,8],[2,5,7],[3]]=>[[1,2,5,7],[3,6,8],[4]]=>0110101 [[1,2,3,6],[4,5,7],[8]]=>[[1,4,5,8],[2,6,7],[3]]=>[[1,2,5,6],[3,7,8],[4]]=>0110010 [[1,3,4,5],[2,6,7],[8]]=>[[1,3,6,7],[2,5,8],[4]]=>[[1,2,4,8],[3,6,7],[5]]=>0101000 [[1,2,4,5],[3,6,7],[8]]=>[[1,3,6,8],[2,5,7],[4]]=>[[1,2,4,7],[3,6,8],[5]]=>0101001 [[1,2,3,5],[4,6,7],[8]]=>[[1,3,5,8],[2,6,7],[4]]=>[[1,2,4,6],[3,7,8],[5]]=>0101010 [[1,2,3,4],[5,6,7],[8]]=>[[1,3,4,8],[2,6,7],[5]]=>[[1,2,4,5],[3,7,8],[6]]=>0100100 [[1,4,7,8],[2,5],[3,6]]=>[[1,2,3,6],[4,7],[5,8]]=>[[1,3,4,7],[2,5],[6,8]]=>1001101 [[1,3,7,8],[2,5],[4,6]]=>[[1,2,3,5],[4,7],[6,8]]=>[[1,3,4,6],[2,5],[7,8]]=>1001010 [[1,2,7,8],[3,5],[4,6]]=>[[1,2,3,5],[4,6],[7,8]]=>[[1,3,4,6],[2,7],[5,8]]=>1001011 [[1,3,7,8],[2,4],[5,6]]=>[[1,2,3,4],[5,7],[6,8]]=>[[1,3,4,5],[2,6],[7,8]]=>1000110 [[1,2,7,8],[3,4],[5,6]]=>[[1,2,3,4],[5,6],[7,8]]=>[[1,3,4,5],[2,7],[6,8]]=>1000101 [[1,4,6,8],[2,5],[3,7]]=>[[1,2,4,6],[3,7],[5,8]]=>[[1,3,5,7],[2,4],[6,8]]=>1010101 [[1,3,6,8],[2,5],[4,7]]=>[[1,2,4,5],[3,7],[6,8]]=>[[1,3,5,6],[2,4],[7,8]]=>1010010 [[1,2,6,8],[3,5],[4,7]]=>[[1,2,4,5],[3,6],[7,8]]=>[[1,3,5,6],[2,7],[4,8]]=>1010011 [[1,3,6,8],[2,4],[5,7]]=>[[1,2,4,7],[3,5],[6,8]]=>[[1,3,5,8],[2,6],[4,7]]=>1010110 [[1,2,6,8],[3,4],[5,7]]=>[[1,2,4,6],[3,5],[7,8]]=>[[1,3,5,7],[2,6],[4,8]]=>1010101 [[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]=>[[1,3,6,7],[2,4],[5,8]]=>1011001 [[1,3,5,8],[2,6],[4,7]]=>[[1,2,5,7],[3,6],[4,8]]=>[[1,3,6,8],[2,4],[5,7]]=>1011010 [[1,2,5,8],[3,6],[4,7]]=>[[1,2,5,8],[3,6],[4,7]]=>[[1,2,3,6],[4,7],[5,8]]=>0011011 [[1,3,4,8],[2,6],[5,7]]=>[[1,2,4,7],[3,6],[5,8]]=>[[1,3,5,8],[2,4],[6,7]]=>1010100 [[1,2,4,8],[3,6],[5,7]]=>[[1,2,4,8],[3,6],[5,7]]=>[[1,2,3,5],[4,7],[6,8]]=>0010101 [[1,2,3,8],[4,6],[5,7]]=>[[1,2,4,8],[3,5],[6,7]]=>[[1,2,3,5],[4,6],[7,8]]=>0010110 [[1,3,5,8],[2,4],[6,7]]=>[[1,2,3,7],[4,5],[6,8]]=>[[1,3,4,8],[2,6],[5,7]]=>1001010 [[1,2,5,8],[3,4],[6,7]]=>[[1,2,3,6],[4,5],[7,8]]=>[[1,3,4,7],[2,6],[5,8]]=>1001001 [[1,3,4,8],[2,5],[6,7]]=>[[1,2,3,7],[4,6],[5,8]]=>[[1,3,4,8],[2,5],[6,7]]=>1001100 [[1,2,4,8],[3,5],[6,7]]=>[[1,2,3,8],[4,6],[5,7]]=>[[1,2,3,4],[5,7],[6,8]]=>0001101 [[1,2,3,8],[4,5],[6,7]]=>[[1,2,3,8],[4,5],[6,7]]=>[[1,2,3,4],[5,6],[7,8]]=>0001010 [[1,4,6,7],[2,5],[3,8]]=>[[1,3,4,6],[2,7],[5,8]]=>[[1,2,5,7],[3,4],[6,8]]=>0100101 [[1,3,6,7],[2,5],[4,8]]=>[[1,3,4,5],[2,7],[6,8]]=>[[1,2,5,6],[3,4],[7,8]]=>0100010 [[1,2,6,7],[3,5],[4,8]]=>[[1,3,4,5],[2,6],[7,8]]=>[[1,4,5,6],[2,7],[3,8]]=>1100011 [[1,3,6,7],[2,4],[5,8]]=>[[1,3,4,7],[2,5],[6,8]]=>[[1,4,5,8],[2,6],[3,7]]=>1100110 [[1,2,6,7],[3,4],[5,8]]=>[[1,3,4,6],[2,5],[7,8]]=>[[1,4,5,7],[2,6],[3,8]]=>1100101 [[1,4,5,7],[2,6],[3,8]]=>[[1,3,5,6],[2,7],[4,8]]=>[[1,2,6,7],[3,4],[5,8]]=>0101001 [[1,3,5,7],[2,6],[4,8]]=>[[1,3,5,7],[2,6],[4,8]]=>[[1,2,6,8],[3,4],[5,7]]=>0101010 [[1,2,5,7],[3,6],[4,8]]=>[[1,3,5,8],[2,6],[4,7]]=>[[1,2,4,6],[3,7],[5,8]]=>0101011 [[1,3,4,7],[2,6],[5,8]]=>[[1,3,4,7],[2,6],[5,8]]=>[[1,2,5,8],[3,4],[6,7]]=>0100100 [[1,2,4,7],[3,6],[5,8]]=>[[1,3,4,8],[2,6],[5,7]]=>[[1,2,4,5],[3,7],[6,8]]=>0100101 [[1,2,3,7],[4,6],[5,8]]=>[[1,3,4,8],[2,5],[6,7]]=>[[1,2,4,5],[3,6],[7,8]]=>0100110 [[1,3,5,7],[2,4],[6,8]]=>[[1,3,5,7],[2,4],[6,8]]=>[[1,4,6,8],[2,5],[3,7]]=>1101010 [[1,2,5,7],[3,4],[6,8]]=>[[1,3,5,6],[2,4],[7,8]]=>[[1,4,6,7],[2,5],[3,8]]=>1101001 [[1,3,4,7],[2,5],[6,8]]=>[[1,3,6,7],[2,4],[5,8]]=>[[1,4,7,8],[2,5],[3,6]]=>1101100 [[1,2,4,7],[3,5],[6,8]]=>[[1,3,6,8],[2,4],[5,7]]=>[[1,2,4,7],[3,5],[6,8]]=>0101101 [[1,2,3,7],[4,5],[6,8]]=>[[1,3,5,8],[2,4],[6,7]]=>[[1,2,4,6],[3,5],[7,8]]=>0101010 [[1,4,5,6],[2,7],[3,8]]=>[[1,4,5,6],[2,7],[3,8]]=>[[1,2,6,7],[3,5],[4,8]]=>0110001 [[1,3,5,6],[2,7],[4,8]]=>[[1,4,5,7],[2,6],[3,8]]=>[[1,2,6,8],[3,5],[4,7]]=>0110010 [[1,2,5,6],[3,7],[4,8]]=>[[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]=>0110011 [[1,3,4,6],[2,7],[5,8]]=>[[1,4,6,7],[2,5],[3,8]]=>[[1,2,7,8],[3,5],[4,6]]=>0110100 [[1,2,4,6],[3,7],[5,8]]=>[[1,4,6,8],[2,5],[3,7]]=>[[1,2,5,7],[3,6],[4,8]]=>0110101 [[1,2,3,6],[4,7],[5,8]]=>[[1,4,7,8],[2,5],[3,6]]=>[[1,2,5,8],[3,6],[4,7]]=>0110110 [[1,3,4,5],[2,7],[6,8]]=>[[1,3,6,7],[2,5],[4,8]]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [[1,2,4,5],[3,7],[6,8]]=>[[1,3,6,8],[2,5],[4,7]]=>[[1,2,4,7],[3,6],[5,8]]=>0101001 [[1,2,3,5],[4,7],[6,8]]=>[[1,3,7,8],[2,5],[4,6]]=>[[1,2,4,8],[3,6],[5,7]]=>0101010 [[1,2,3,4],[5,7],[6,8]]=>[[1,3,7,8],[2,4],[5,6]]=>[[1,2,4,8],[3,5],[6,7]]=>0101100 [[1,3,5,6],[2,4],[7,8]]=>[[1,2,5,7],[3,4],[6,8]]=>[[1,3,6,8],[2,5],[4,7]]=>1010010 [[1,2,5,6],[3,4],[7,8]]=>[[1,2,5,6],[3,4],[7,8]]=>[[1,3,6,7],[2,5],[4,8]]=>1010001 [[1,3,4,6],[2,5],[7,8]]=>[[1,2,6,7],[3,4],[5,8]]=>[[1,3,7,8],[2,5],[4,6]]=>1010100 [[1,2,4,6],[3,5],[7,8]]=>[[1,2,6,8],[3,4],[5,7]]=>[[1,2,3,7],[4,5],[6,8]]=>0010101 [[1,2,3,6],[4,5],[7,8]]=>[[1,2,5,8],[3,4],[6,7]]=>[[1,2,3,6],[4,5],[7,8]]=>0010010 [[1,3,4,5],[2,6],[7,8]]=>[[1,2,6,7],[3,5],[4,8]]=>[[1,3,7,8],[2,4],[5,6]]=>1011000 [[1,2,4,5],[3,6],[7,8]]=>[[1,2,6,8],[3,5],[4,7]]=>[[1,2,3,7],[4,6],[5,8]]=>0011001 [[1,2,3,5],[4,6],[7,8]]=>[[1,2,7,8],[3,5],[4,6]]=>[[1,2,3,8],[4,6],[5,7]]=>0011010 [[1,2,3,4],[5,6],[7,8]]=>[[1,2,7,8],[3,4],[5,6]]=>[[1,2,3,8],[4,5],[6,7]]=>0010100 [[1,5,7,8],[2,6],[3],[4]]=>[[1,2,3,5],[4,6],[7],[8]]=>[[1,3,4,6],[2,7],[5],[8]]=>1001011 [[1,4,7,8],[2,6],[3],[5]]=>[[1,2,3,4],[5,6],[7],[8]]=>[[1,3,4,5],[2,7],[6],[8]]=>1000101 [[1,3,7,8],[2,6],[4],[5]]=>[[1,2,3,4],[5,7],[6],[8]]=>[[1,3,4,5],[2,8],[6],[7]]=>1000110 [[1,2,7,8],[3,6],[4],[5]]=>[[1,2,3,4],[5,8],[6],[7]]=>[[1,3,4,5],[2,6],[7],[8]]=>1000111 [[1,4,7,8],[2,5],[3],[6]]=>[[1,2,3,6],[4,7],[5],[8]]=>[[1,3,4,7],[2,8],[5],[6]]=>1001101 [[1,3,7,8],[2,5],[4],[6]]=>[[1,2,3,5],[4,7],[6],[8]]=>[[1,3,4,6],[2,8],[5],[7]]=>1001010 [[1,2,7,8],[3,5],[4],[6]]=>[[1,2,3,5],[4,8],[6],[7]]=>[[1,3,4,6],[2,5],[7],[8]]=>1001011 [[1,3,7,8],[2,4],[5],[6]]=>[[1,2,3,7],[4,8],[5],[6]]=>[[1,3,4,8],[2,5],[6],[7]]=>1001110 [[1,2,7,8],[3,4],[5],[6]]=>[[1,2,3,6],[4,8],[5],[7]]=>[[1,3,4,7],[2,5],[6],[8]]=>1001101 [[1,5,6,8],[2,7],[3],[4]]=>[[1,2,4,5],[3,6],[7],[8]]=>[[1,3,5,6],[2,7],[4],[8]]=>1010011 [[1,4,6,8],[2,7],[3],[5]]=>[[1,2,4,6],[3,5],[7],[8]]=>[[1,3,5,7],[2,6],[4],[8]]=>1010101 [[1,3,6,8],[2,7],[4],[5]]=>[[1,2,4,7],[3,5],[6],[8]]=>[[1,3,5,8],[2,6],[4],[7]]=>1010110 [[1,2,6,8],[3,7],[4],[5]]=>[[1,2,4,8],[3,5],[6],[7]]=>[[1,2,3,5],[4,6],[7],[8]]=>0010111 [[1,4,5,8],[2,7],[3],[6]]=>[[1,2,3,6],[4,5],[7],[8]]=>[[1,3,4,7],[2,6],[5],[8]]=>1001001 [[1,3,5,8],[2,7],[4],[6]]=>[[1,2,3,7],[4,5],[6],[8]]=>[[1,3,4,8],[2,6],[5],[7]]=>1001010 [[1,2,5,8],[3,7],[4],[6]]=>[[1,2,3,8],[4,5],[6],[7]]=>[[1,2,3,4],[5,6],[7],[8]]=>0001011 [[1,3,4,8],[2,7],[5],[6]]=>[[1,2,3,7],[4,6],[5],[8]]=>[[1,3,4,8],[2,7],[5],[6]]=>1001100 [[1,2,4,8],[3,7],[5],[6]]=>[[1,2,3,8],[4,6],[5],[7]]=>[[1,2,3,4],[5,7],[6],[8]]=>0001101 [[1,2,3,8],[4,7],[5],[6]]=>[[1,2,3,8],[4,7],[5],[6]]=>[[1,2,3,4],[5,8],[6],[7]]=>0001110 [[1,4,6,8],[2,5],[3],[7]]=>[[1,2,4,6],[3,7],[5],[8]]=>[[1,3,5,7],[2,8],[4],[6]]=>1010101 [[1,3,6,8],[2,5],[4],[7]]=>[[1,2,4,5],[3,7],[6],[8]]=>[[1,3,5,6],[2,8],[4],[7]]=>1010010 [[1,2,6,8],[3,5],[4],[7]]=>[[1,2,4,5],[3,8],[6],[7]]=>[[1,3,5,6],[2,4],[7],[8]]=>1010011 [[1,3,6,8],[2,4],[5],[7]]=>[[1,2,4,7],[3,8],[5],[6]]=>[[1,3,5,8],[2,4],[6],[7]]=>1010110 [[1,2,6,8],[3,4],[5],[7]]=>[[1,2,4,6],[3,8],[5],[7]]=>[[1,3,5,7],[2,4],[6],[8]]=>1010101 [[1,4,5,8],[2,6],[3],[7]]=>[[1,2,5,6],[3,7],[4],[8]]=>[[1,3,6,7],[2,8],[4],[5]]=>1011001 [[1,3,5,8],[2,6],[4],[7]]=>[[1,2,5,7],[3,6],[4],[8]]=>[[1,3,6,8],[2,7],[4],[5]]=>1011010 [[1,2,5,8],[3,6],[4],[7]]=>[[1,2,5,8],[3,6],[4],[7]]=>[[1,2,3,6],[4,7],[5],[8]]=>0011011 [[1,3,4,8],[2,6],[5],[7]]=>[[1,2,4,7],[3,6],[5],[8]]=>[[1,3,5,8],[2,7],[4],[6]]=>1010100 [[1,2,4,8],[3,6],[5],[7]]=>[[1,2,4,8],[3,6],[5],[7]]=>[[1,2,3,5],[4,7],[6],[8]]=>0010101 [[1,2,3,8],[4,6],[5],[7]]=>[[1,2,4,8],[3,7],[5],[6]]=>[[1,2,3,5],[4,8],[6],[7]]=>0010110 [[1,3,5,8],[2,4],[6],[7]]=>[[1,2,5,7],[3,8],[4],[6]]=>[[1,3,6,8],[2,4],[5],[7]]=>1011010 [[1,2,5,8],[3,4],[6],[7]]=>[[1,2,5,6],[3,8],[4],[7]]=>[[1,3,6,7],[2,4],[5],[8]]=>1011001 [[1,3,4,8],[2,5],[6],[7]]=>[[1,2,6,7],[3,8],[4],[5]]=>[[1,3,7,8],[2,4],[5],[6]]=>1011100 [[1,2,4,8],[3,5],[6],[7]]=>[[1,2,6,8],[3,7],[4],[5]]=>[[1,2,3,7],[4,8],[5],[6]]=>0011101 [[1,2,3,8],[4,5],[6],[7]]=>[[1,2,5,8],[3,7],[4],[6]]=>[[1,2,3,6],[4,8],[5],[7]]=>0011010 [[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]=>[[1,4,5,6],[2,7],[3],[8]]=>1100011 [[1,4,6,7],[2,8],[3],[5]]=>[[1,3,4,6],[2,5],[7],[8]]=>[[1,4,5,7],[2,6],[3],[8]]=>1100101 [[1,3,6,7],[2,8],[4],[5]]=>[[1,3,4,7],[2,5],[6],[8]]=>[[1,4,5,8],[2,6],[3],[7]]=>1100110 [[1,2,6,7],[3,8],[4],[5]]=>[[1,3,4,8],[2,5],[6],[7]]=>[[1,2,4,5],[3,6],[7],[8]]=>0100111 [[1,4,5,7],[2,8],[3],[6]]=>[[1,3,5,6],[2,4],[7],[8]]=>[[1,4,6,7],[2,5],[3],[8]]=>1101001 [[1,3,5,7],[2,8],[4],[6]]=>[[1,3,5,7],[2,4],[6],[8]]=>[[1,4,6,8],[2,5],[3],[7]]=>1101010 [[1,2,5,7],[3,8],[4],[6]]=>[[1,3,5,8],[2,4],[6],[7]]=>[[1,2,4,6],[3,5],[7],[8]]=>0101011 [[1,3,4,7],[2,8],[5],[6]]=>[[1,3,6,7],[2,4],[5],[8]]=>[[1,4,7,8],[2,5],[3],[6]]=>1101100 [[1,2,4,7],[3,8],[5],[6]]=>[[1,3,6,8],[2,4],[5],[7]]=>[[1,2,4,7],[3,5],[6],[8]]=>0101101 [[1,2,3,7],[4,8],[5],[6]]=>[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,4,8],[3,5],[6],[7]]=>0101110 [[1,4,5,6],[2,8],[3],[7]]=>[[1,2,5,6],[3,4],[7],[8]]=>[[1,3,6,7],[2,5],[4],[8]]=>1010001 [[1,3,5,6],[2,8],[4],[7]]=>[[1,2,5,7],[3,4],[6],[8]]=>[[1,3,6,8],[2,5],[4],[7]]=>1010010 [[1,2,5,6],[3,8],[4],[7]]=>[[1,2,5,8],[3,4],[6],[7]]=>[[1,2,3,6],[4,5],[7],[8]]=>0010011 [[1,3,4,6],[2,8],[5],[7]]=>[[1,2,6,7],[3,4],[5],[8]]=>[[1,3,7,8],[2,5],[4],[6]]=>1010100 [[1,2,4,6],[3,8],[5],[7]]=>[[1,2,6,8],[3,4],[5],[7]]=>[[1,2,3,7],[4,5],[6],[8]]=>0010101 [[1,2,3,6],[4,8],[5],[7]]=>[[1,2,7,8],[3,4],[5],[6]]=>[[1,2,3,8],[4,5],[6],[7]]=>0010110 [[1,3,4,5],[2,8],[6],[7]]=>[[1,2,6,7],[3,5],[4],[8]]=>[[1,3,7,8],[2,6],[4],[5]]=>1011000 [[1,2,4,5],[3,8],[6],[7]]=>[[1,2,6,8],[3,5],[4],[7]]=>[[1,2,3,7],[4,6],[5],[8]]=>0011001 [[1,2,3,5],[4,8],[6],[7]]=>[[1,2,7,8],[3,5],[4],[6]]=>[[1,2,3,8],[4,6],[5],[7]]=>0011010 [[1,2,3,4],[5,8],[6],[7]]=>[[1,2,7,8],[3,6],[4],[5]]=>[[1,2,3,8],[4,7],[5],[6]]=>0011100 [[1,4,6,7],[2,5],[3],[8]]=>[[1,3,4,6],[2,7],[5],[8]]=>[[1,4,5,7],[2,8],[3],[6]]=>1100101 [[1,3,6,7],[2,5],[4],[8]]=>[[1,3,4,5],[2,7],[6],[8]]=>[[1,4,5,6],[2,8],[3],[7]]=>1100010 [[1,2,6,7],[3,5],[4],[8]]=>[[1,3,4,5],[2,8],[6],[7]]=>[[1,2,5,6],[3,4],[7],[8]]=>0100011 [[1,3,6,7],[2,4],[5],[8]]=>[[1,3,4,7],[2,8],[5],[6]]=>[[1,2,5,8],[3,4],[6],[7]]=>0100110 [[1,2,6,7],[3,4],[5],[8]]=>[[1,3,4,6],[2,8],[5],[7]]=>[[1,2,5,7],[3,4],[6],[8]]=>0100101 [[1,4,5,7],[2,6],[3],[8]]=>[[1,3,5,6],[2,7],[4],[8]]=>[[1,4,6,7],[2,8],[3],[5]]=>1101001 [[1,3,5,7],[2,6],[4],[8]]=>[[1,3,5,7],[2,6],[4],[8]]=>[[1,4,6,8],[2,7],[3],[5]]=>1101010 [[1,2,5,7],[3,6],[4],[8]]=>[[1,3,5,8],[2,6],[4],[7]]=>[[1,2,4,6],[3,7],[5],[8]]=>0101011 [[1,3,4,7],[2,6],[5],[8]]=>[[1,3,4,7],[2,6],[5],[8]]=>[[1,4,5,8],[2,7],[3],[6]]=>1100100 [[1,2,4,7],[3,6],[5],[8]]=>[[1,3,4,8],[2,6],[5],[7]]=>[[1,2,4,5],[3,7],[6],[8]]=>0100101 [[1,2,3,7],[4,6],[5],[8]]=>[[1,3,4,8],[2,7],[5],[6]]=>[[1,2,4,5],[3,8],[6],[7]]=>0100110 [[1,3,5,7],[2,4],[6],[8]]=>[[1,3,5,7],[2,8],[4],[6]]=>[[1,2,6,8],[3,4],[5],[7]]=>0101010 [[1,2,5,7],[3,4],[6],[8]]=>[[1,3,5,6],[2,8],[4],[7]]=>[[1,2,6,7],[3,4],[5],[8]]=>0101001 [[1,3,4,7],[2,5],[6],[8]]=>[[1,3,6,7],[2,8],[4],[5]]=>[[1,2,7,8],[3,4],[5],[6]]=>0101100 [[1,2,4,7],[3,5],[6],[8]]=>[[1,3,6,8],[2,7],[4],[5]]=>[[1,2,4,7],[3,8],[5],[6]]=>0101101 [[1,2,3,7],[4,5],[6],[8]]=>[[1,3,5,8],[2,7],[4],[6]]=>[[1,2,4,6],[3,8],[5],[7]]=>0101010 [[1,4,5,6],[2,7],[3],[8]]=>[[1,4,5,6],[2,7],[3],[8]]=>[[1,5,6,7],[2,8],[3],[4]]=>1110001 [[1,3,5,6],[2,7],[4],[8]]=>[[1,4,5,7],[2,6],[3],[8]]=>[[1,5,6,8],[2,7],[3],[4]]=>1110010 [[1,2,5,6],[3,7],[4],[8]]=>[[1,4,5,8],[2,6],[3],[7]]=>[[1,2,5,6],[3,7],[4],[8]]=>0110011 [[1,3,4,6],[2,7],[5],[8]]=>[[1,4,6,7],[2,5],[3],[8]]=>[[1,5,7,8],[2,6],[3],[4]]=>1110100 [[1,2,4,6],[3,7],[5],[8]]=>[[1,4,6,8],[2,5],[3],[7]]=>[[1,2,5,7],[3,6],[4],[8]]=>0110101 [[1,2,3,6],[4,7],[5],[8]]=>[[1,4,7,8],[2,5],[3],[6]]=>[[1,2,5,8],[3,6],[4],[7]]=>0110110 [[1,3,4,5],[2,7],[6],[8]]=>[[1,3,6,7],[2,5],[4],[8]]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [[1,2,4,5],[3,7],[6],[8]]=>[[1,3,6,8],[2,5],[4],[7]]=>[[1,2,4,7],[3,6],[5],[8]]=>0101001 [[1,2,3,5],[4,7],[6],[8]]=>[[1,3,7,8],[2,5],[4],[6]]=>[[1,2,4,8],[3,6],[5],[7]]=>0101010 [[1,2,3,4],[5,7],[6],[8]]=>[[1,3,7,8],[2,6],[4],[5]]=>[[1,2,4,8],[3,7],[5],[6]]=>0101100 [[1,3,5,6],[2,4],[7],[8]]=>[[1,4,5,7],[2,8],[3],[6]]=>[[1,2,6,8],[3,5],[4],[7]]=>0110010 [[1,2,5,6],[3,4],[7],[8]]=>[[1,4,5,6],[2,8],[3],[7]]=>[[1,2,6,7],[3,5],[4],[8]]=>0110001 [[1,3,4,6],[2,5],[7],[8]]=>[[1,4,6,7],[2,8],[3],[5]]=>[[1,2,7,8],[3,5],[4],[6]]=>0110100 [[1,2,4,6],[3,5],[7],[8]]=>[[1,4,6,8],[2,7],[3],[5]]=>[[1,2,5,7],[3,8],[4],[6]]=>0110101 [[1,2,3,6],[4,5],[7],[8]]=>[[1,4,5,8],[2,7],[3],[6]]=>[[1,2,5,6],[3,8],[4],[7]]=>0110010 [[1,3,4,5],[2,6],[7],[8]]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,2,7,8],[3,6],[4],[5]]=>0111000 [[1,2,4,5],[3,6],[7],[8]]=>[[1,5,6,8],[2,7],[3],[4]]=>[[1,2,6,7],[3,8],[4],[5]]=>0111001 [[1,2,3,5],[4,6],[7],[8]]=>[[1,5,7,8],[2,6],[3],[4]]=>[[1,2,6,8],[3,7],[4],[5]]=>0111010 [[1,2,3,4],[5,6],[7],[8]]=>[[1,4,7,8],[2,6],[3],[5]]=>[[1,2,5,8],[3,7],[4],[6]]=>0110100 [[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[[1,3,4,5],[2],[6],[7],[8]]=>1000111 [[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[[1,3,4,6],[2],[5],[7],[8]]=>1001011 [[1,4,7,8],[2],[3],[5],[6]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[[1,3,4,7],[2],[5],[6],[8]]=>1001101 [[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[[1,3,4,8],[2],[5],[6],[7]]=>1001110 [[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7],[8]]=>0001111 [[1,5,6,8],[2],[3],[4],[7]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[[1,3,5,6],[2],[4],[7],[8]]=>1010011 [[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[[1,3,5,7],[2],[4],[6],[8]]=>1010101 [[1,3,6,8],[2],[4],[5],[7]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[[1,3,5,8],[2],[4],[6],[7]]=>1010110 [[1,2,6,8],[3],[4],[5],[7]]=>[[1,2,4,8],[3],[5],[6],[7]]=>[[1,2,3,5],[4],[6],[7],[8]]=>0010111 [[1,4,5,8],[2],[3],[6],[7]]=>[[1,2,5,6],[3],[4],[7],[8]]=>[[1,3,6,7],[2],[4],[5],[8]]=>1011001 [[1,3,5,8],[2],[4],[6],[7]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[[1,3,6,8],[2],[4],[5],[7]]=>1011010 [[1,2,5,8],[3],[4],[6],[7]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[[1,2,3,6],[4],[5],[7],[8]]=>0011011 [[1,3,4,8],[2],[5],[6],[7]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[[1,3,7,8],[2],[4],[5],[6]]=>1011100 [[1,2,4,8],[3],[5],[6],[7]]=>[[1,2,6,8],[3],[4],[5],[7]]=>[[1,2,3,7],[4],[5],[6],[8]]=>0011101 [[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]=>0011110 [[1,5,6,7],[2],[3],[4],[8]]=>[[1,3,4,5],[2],[6],[7],[8]]=>[[1,4,5,6],[2],[3],[7],[8]]=>1100011 [[1,4,6,7],[2],[3],[5],[8]]=>[[1,3,4,6],[2],[5],[7],[8]]=>[[1,4,5,7],[2],[3],[6],[8]]=>1100101 [[1,3,6,7],[2],[4],[5],[8]]=>[[1,3,4,7],[2],[5],[6],[8]]=>[[1,4,5,8],[2],[3],[6],[7]]=>1100110 [[1,2,6,7],[3],[4],[5],[8]]=>[[1,3,4,8],[2],[5],[6],[7]]=>[[1,2,4,5],[3],[6],[7],[8]]=>0100111 [[1,4,5,7],[2],[3],[6],[8]]=>[[1,3,5,6],[2],[4],[7],[8]]=>[[1,4,6,7],[2],[3],[5],[8]]=>1101001 [[1,3,5,7],[2],[4],[6],[8]]=>[[1,3,5,7],[2],[4],[6],[8]]=>[[1,4,6,8],[2],[3],[5],[7]]=>1101010 [[1,2,5,7],[3],[4],[6],[8]]=>[[1,3,5,8],[2],[4],[6],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]=>0101011 [[1,3,4,7],[2],[5],[6],[8]]=>[[1,3,6,7],[2],[4],[5],[8]]=>[[1,4,7,8],[2],[3],[5],[6]]=>1101100 [[1,2,4,7],[3],[5],[6],[8]]=>[[1,3,6,8],[2],[4],[5],[7]]=>[[1,2,4,7],[3],[5],[6],[8]]=>0101101 [[1,2,3,7],[4],[5],[6],[8]]=>[[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,4,8],[3],[5],[6],[7]]=>0101110 [[1,4,5,6],[2],[3],[7],[8]]=>[[1,4,5,6],[2],[3],[7],[8]]=>[[1,5,6,7],[2],[3],[4],[8]]=>1110001 [[1,3,5,6],[2],[4],[7],[8]]=>[[1,4,5,7],[2],[3],[6],[8]]=>[[1,5,6,8],[2],[3],[4],[7]]=>1110010 [[1,2,5,6],[3],[4],[7],[8]]=>[[1,4,5,8],[2],[3],[6],[7]]=>[[1,2,5,6],[3],[4],[7],[8]]=>0110011 [[1,3,4,6],[2],[5],[7],[8]]=>[[1,4,6,7],[2],[3],[5],[8]]=>[[1,5,7,8],[2],[3],[4],[6]]=>1110100 [[1,2,4,6],[3],[5],[7],[8]]=>[[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,5,7],[3],[4],[6],[8]]=>0110101 [[1,2,3,6],[4],[5],[7],[8]]=>[[1,4,7,8],[2],[3],[5],[6]]=>[[1,2,5,8],[3],[4],[6],[7]]=>0110110 [[1,3,4,5],[2],[6],[7],[8]]=>[[1,5,6,7],[2],[3],[4],[8]]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [[1,2,4,5],[3],[6],[7],[8]]=>[[1,5,6,8],[2],[3],[4],[7]]=>[[1,2,6,7],[3],[4],[5],[8]]=>0111001 [[1,2,3,5],[4],[6],[7],[8]]=>[[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,6,8],[3],[4],[5],[7]]=>0111010 [[1,2,3,4],[5],[6],[7],[8]]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,7,8],[3],[4],[5],[6]]=>0111100 [[1,4,7],[2,5,8],[3,6]]=>[[1,3,6],[2,4,7],[5,8]]=>[[1,4,7],[2,5,8],[3,6]]=>1101101 [[1,3,7],[2,5,8],[4,6]]=>[[1,3,5],[2,4,7],[6,8]]=>[[1,4,6],[2,5,8],[3,7]]=>1101010 [[1,2,7],[3,5,8],[4,6]]=>[[1,3,5],[2,4,6],[7,8]]=>[[1,4,6],[2,5,7],[3,8]]=>1101011 [[1,3,7],[2,4,8],[5,6]]=>[[1,3,4],[2,5,7],[6,8]]=>[[1,4,5],[2,6,8],[3,7]]=>1100110 [[1,2,7],[3,4,8],[5,6]]=>[[1,3,4],[2,5,6],[7,8]]=>[[1,4,5],[2,6,7],[3,8]]=>1100101 [[1,4,6],[2,5,8],[3,7]]=>[[1,2,6],[3,4,7],[5,8]]=>[[1,3,7],[2,5,8],[4,6]]=>1010101 [[1,3,6],[2,5,8],[4,7]]=>[[1,2,5],[3,4,7],[6,8]]=>[[1,3,6],[2,5,8],[4,7]]=>1010010 [[1,2,6],[3,5,8],[4,7]]=>[[1,2,5],[3,4,6],[7,8]]=>[[1,3,6],[2,5,7],[4,8]]=>1010011 [[1,3,6],[2,4,8],[5,7]]=>[[1,2,4],[3,5,7],[6,8]]=>[[1,3,5],[2,6,8],[4,7]]=>1010110 [[1,2,6],[3,4,8],[5,7]]=>[[1,2,4],[3,5,6],[7,8]]=>[[1,3,5],[2,6,7],[4,8]]=>1010101 [[1,4,5],[2,6,8],[3,7]]=>[[1,2,6],[3,5,7],[4,8]]=>[[1,3,7],[2,4,8],[5,6]]=>1011001 [[1,3,5],[2,6,8],[4,7]]=>[[1,2,5],[3,6,7],[4,8]]=>[[1,3,6],[2,4,8],[5,7]]=>1011010 [[1,2,5],[3,6,8],[4,7]]=>[[1,2,5],[3,6,8],[4,7]]=>[[1,3,6],[2,4,7],[5,8]]=>1011011 [[1,3,4],[2,6,8],[5,7]]=>[[1,2,4],[3,6,7],[5,8]]=>[[1,3,5],[2,4,8],[6,7]]=>1010100 [[1,2,4],[3,6,8],[5,7]]=>[[1,2,4],[3,6,8],[5,7]]=>[[1,3,5],[2,4,7],[6,8]]=>1010101 [[1,2,3],[4,6,8],[5,7]]=>[[1,2,4],[3,5,8],[6,7]]=>[[1,3,5],[2,4,6],[7,8]]=>1010110 [[1,3,5],[2,4,8],[6,7]]=>[[1,2,3],[4,5,7],[6,8]]=>[[1,3,4],[2,6,8],[5,7]]=>1001010 [[1,2,5],[3,4,8],[6,7]]=>[[1,2,3],[4,5,6],[7,8]]=>[[1,3,4],[2,6,7],[5,8]]=>1001001 [[1,3,4],[2,5,8],[6,7]]=>[[1,2,3],[4,6,7],[5,8]]=>[[1,3,4],[2,5,8],[6,7]]=>1001100 [[1,2,4],[3,5,8],[6,7]]=>[[1,2,3],[4,6,8],[5,7]]=>[[1,3,4],[2,5,7],[6,8]]=>1001101 [[1,2,3],[4,5,8],[6,7]]=>[[1,2,3],[4,5,8],[6,7]]=>[[1,3,4],[2,5,6],[7,8]]=>1001010 [[1,4,6],[2,5,7],[3,8]]=>[[1,4,6],[2,5,7],[3,8]]=>[[1,2,7],[3,5,8],[4,6]]=>0110101 [[1,3,6],[2,5,7],[4,8]]=>[[1,4,5],[2,6,7],[3,8]]=>[[1,2,6],[3,5,8],[4,7]]=>0110010 [[1,2,6],[3,5,7],[4,8]]=>[[1,4,5],[2,6,8],[3,7]]=>[[1,2,6],[3,5,7],[4,8]]=>0110011 [[1,3,6],[2,4,7],[5,8]]=>[[1,4,7],[2,5,8],[3,6]]=>[[1,2,5],[3,6,8],[4,7]]=>0110110 [[1,2,6],[3,4,7],[5,8]]=>[[1,4,6],[2,5,8],[3,7]]=>[[1,2,5],[3,6,7],[4,8]]=>0110101 [[1,4,5],[2,6,7],[3,8]]=>[[1,3,6],[2,5,7],[4,8]]=>[[1,2,7],[3,4,8],[5,6]]=>0101001 [[1,3,5],[2,6,7],[4,8]]=>[[1,3,5],[2,6,7],[4,8]]=>[[1,2,6],[3,4,8],[5,7]]=>0101010 [[1,2,5],[3,6,7],[4,8]]=>[[1,3,5],[2,6,8],[4,7]]=>[[1,2,6],[3,4,7],[5,8]]=>0101011 [[1,3,4],[2,6,7],[5,8]]=>[[1,3,4],[2,6,7],[5,8]]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [[1,2,4],[3,6,7],[5,8]]=>[[1,3,4],[2,6,8],[5,7]]=>[[1,2,5],[3,4,7],[6,8]]=>0100101 [[1,2,3],[4,6,7],[5,8]]=>[[1,3,4],[2,5,8],[6,7]]=>[[1,2,5],[3,4,6],[7,8]]=>0100110 [[1,3,5],[2,4,7],[6,8]]=>[[1,3,7],[2,5,8],[4,6]]=>[[1,2,4],[3,6,8],[5,7]]=>0101010 [[1,2,5],[3,4,7],[6,8]]=>[[1,3,6],[2,5,8],[4,7]]=>[[1,2,4],[3,6,7],[5,8]]=>0101001 [[1,3,4],[2,5,7],[6,8]]=>[[1,3,7],[2,4,8],[5,6]]=>[[1,2,4],[3,5,8],[6,7]]=>0101100 [[1,2,4],[3,5,7],[6,8]]=>[[1,3,6],[2,4,8],[5,7]]=>[[1,2,4],[3,5,7],[6,8]]=>0101101 [[1,2,3],[4,5,7],[6,8]]=>[[1,3,5],[2,4,8],[6,7]]=>[[1,2,4],[3,5,6],[7,8]]=>0101010 [[1,3,5],[2,4,6],[7,8]]=>[[1,2,7],[3,5,8],[4,6]]=>[[1,2,3],[4,6,8],[5,7]]=>0011010 [[1,2,5],[3,4,6],[7,8]]=>[[1,2,6],[3,5,8],[4,7]]=>[[1,2,3],[4,6,7],[5,8]]=>0011001 [[1,3,4],[2,5,6],[7,8]]=>[[1,2,7],[3,4,8],[5,6]]=>[[1,2,3],[4,5,8],[6,7]]=>0010100 [[1,2,4],[3,5,6],[7,8]]=>[[1,2,6],[3,4,8],[5,7]]=>[[1,2,3],[4,5,7],[6,8]]=>0010101 [[1,2,3],[4,5,6],[7,8]]=>[[1,2,5],[3,4,8],[6,7]]=>[[1,2,3],[4,5,6],[7,8]]=>0010010 [[1,5,7],[2,6,8],[3],[4]]=>[[1,3,5],[2,4,6],[7],[8]]=>[[1,4,6],[2,5,7],[3],[8]]=>1101011 [[1,4,7],[2,6,8],[3],[5]]=>[[1,3,4],[2,5,6],[7],[8]]=>[[1,4,5],[2,6,7],[3],[8]]=>1100101 [[1,3,7],[2,6,8],[4],[5]]=>[[1,3,4],[2,5,7],[6],[8]]=>[[1,4,5],[2,6,8],[3],[7]]=>1100110 [[1,2,7],[3,6,8],[4],[5]]=>[[1,3,4],[2,5,8],[6],[7]]=>[[1,2,5],[3,4,6],[7],[8]]=>0100111 [[1,4,7],[2,5,8],[3],[6]]=>[[1,3,6],[2,4,7],[5],[8]]=>[[1,4,7],[2,5,8],[3],[6]]=>1101101 [[1,3,7],[2,5,8],[4],[6]]=>[[1,3,5],[2,4,7],[6],[8]]=>[[1,4,6],[2,5,8],[3],[7]]=>1101010 [[1,2,7],[3,5,8],[4],[6]]=>[[1,3,5],[2,4,8],[6],[7]]=>[[1,2,4],[3,5,6],[7],[8]]=>0101011 [[1,3,7],[2,4,8],[5],[6]]=>[[1,3,7],[2,4,8],[5],[6]]=>[[1,2,4],[3,5,8],[6],[7]]=>0101110 [[1,2,7],[3,4,8],[5],[6]]=>[[1,3,6],[2,4,8],[5],[7]]=>[[1,2,4],[3,5,7],[6],[8]]=>0101101 [[1,5,6],[2,7,8],[3],[4]]=>[[1,2,5],[3,4,6],[7],[8]]=>[[1,3,6],[2,5,7],[4],[8]]=>1010011 [[1,4,6],[2,7,8],[3],[5]]=>[[1,2,4],[3,5,6],[7],[8]]=>[[1,3,5],[2,6,7],[4],[8]]=>1010101 [[1,3,6],[2,7,8],[4],[5]]=>[[1,2,4],[3,5,7],[6],[8]]=>[[1,3,5],[2,6,8],[4],[7]]=>1010110 [[1,2,6],[3,7,8],[4],[5]]=>[[1,2,4],[3,5,8],[6],[7]]=>[[1,3,5],[2,4,6],[7],[8]]=>1010111 [[1,4,5],[2,7,8],[3],[6]]=>[[1,2,3],[4,5,6],[7],[8]]=>[[1,3,4],[2,6,7],[5],[8]]=>1001001 [[1,3,5],[2,7,8],[4],[6]]=>[[1,2,3],[4,5,7],[6],[8]]=>[[1,3,4],[2,6,8],[5],[7]]=>1001010 [[1,2,5],[3,7,8],[4],[6]]=>[[1,2,3],[4,5,8],[6],[7]]=>[[1,3,4],[2,5,6],[7],[8]]=>1001011 [[1,3,4],[2,7,8],[5],[6]]=>[[1,2,3],[4,6,7],[5],[8]]=>[[1,3,4],[2,7,8],[5],[6]]=>1001100 [[1,2,4],[3,7,8],[5],[6]]=>[[1,2,3],[4,6,8],[5],[7]]=>[[1,3,4],[2,5,7],[6],[8]]=>1001101 [[1,2,3],[4,7,8],[5],[6]]=>[[1,2,3],[4,7,8],[5],[6]]=>[[1,3,4],[2,5,8],[6],[7]]=>1001110 [[1,4,6],[2,5,8],[3],[7]]=>[[1,2,6],[3,4,7],[5],[8]]=>[[1,3,7],[2,5,8],[4],[6]]=>1010101 [[1,3,6],[2,5,8],[4],[7]]=>[[1,2,5],[3,4,7],[6],[8]]=>[[1,3,6],[2,5,8],[4],[7]]=>1010010 [[1,2,6],[3,5,8],[4],[7]]=>[[1,2,5],[3,4,8],[6],[7]]=>[[1,2,3],[4,5,6],[7],[8]]=>0010011 [[1,3,6],[2,4,8],[5],[7]]=>[[1,2,7],[3,4,8],[5],[6]]=>[[1,2,3],[4,5,8],[6],[7]]=>0010110 [[1,2,6],[3,4,8],[5],[7]]=>[[1,2,6],[3,4,8],[5],[7]]=>[[1,2,3],[4,5,7],[6],[8]]=>0010101 [[1,4,5],[2,6,8],[3],[7]]=>[[1,2,6],[3,5,7],[4],[8]]=>[[1,3,7],[2,6,8],[4],[5]]=>1011001 [[1,3,5],[2,6,8],[4],[7]]=>[[1,2,5],[3,6,7],[4],[8]]=>[[1,3,6],[2,7,8],[4],[5]]=>1011010 [[1,2,5],[3,6,8],[4],[7]]=>[[1,2,5],[3,6,8],[4],[7]]=>[[1,3,6],[2,4,7],[5],[8]]=>1011011 [[1,3,4],[2,6,8],[5],[7]]=>[[1,2,4],[3,6,7],[5],[8]]=>[[1,3,5],[2,7,8],[4],[6]]=>1010100 [[1,2,4],[3,6,8],[5],[7]]=>[[1,2,4],[3,6,8],[5],[7]]=>[[1,3,5],[2,4,7],[6],[8]]=>1010101 [[1,2,3],[4,6,8],[5],[7]]=>[[1,2,4],[3,7,8],[5],[6]]=>[[1,3,5],[2,4,8],[6],[7]]=>1010110 [[1,3,5],[2,4,8],[6],[7]]=>[[1,2,7],[3,5,8],[4],[6]]=>[[1,2,3],[4,6,8],[5],[7]]=>0011010 [[1,2,5],[3,4,8],[6],[7]]=>[[1,2,6],[3,5,8],[4],[7]]=>[[1,2,3],[4,6,7],[5],[8]]=>0011001 [[1,3,4],[2,5,8],[6],[7]]=>[[1,2,7],[3,6,8],[4],[5]]=>[[1,2,3],[4,7,8],[5],[6]]=>0011100 [[1,2,4],[3,5,8],[6],[7]]=>[[1,2,6],[3,7,8],[4],[5]]=>[[1,3,7],[2,4,8],[5],[6]]=>1011101 [[1,2,3],[4,5,8],[6],[7]]=>[[1,2,5],[3,7,8],[4],[6]]=>[[1,3,6],[2,4,8],[5],[7]]=>1011010 [[1,4,6],[2,5,7],[3],[8]]=>[[1,4,6],[2,5,7],[3],[8]]=>[[1,5,7],[2,6,8],[3],[4]]=>1110101 [[1,3,6],[2,5,7],[4],[8]]=>[[1,4,5],[2,6,7],[3],[8]]=>[[1,5,6],[2,7,8],[3],[4]]=>1110010 [[1,2,6],[3,5,7],[4],[8]]=>[[1,4,5],[2,6,8],[3],[7]]=>[[1,2,6],[3,5,7],[4],[8]]=>0110011 [[1,3,6],[2,4,7],[5],[8]]=>[[1,4,7],[2,5,8],[3],[6]]=>[[1,2,5],[3,6,8],[4],[7]]=>0110110 [[1,2,6],[3,4,7],[5],[8]]=>[[1,4,6],[2,5,8],[3],[7]]=>[[1,2,5],[3,6,7],[4],[8]]=>0110101 [[1,4,5],[2,6,7],[3],[8]]=>[[1,3,6],[2,5,7],[4],[8]]=>[[1,4,7],[2,6,8],[3],[5]]=>1101001 [[1,3,5],[2,6,7],[4],[8]]=>[[1,3,5],[2,6,7],[4],[8]]=>[[1,4,6],[2,7,8],[3],[5]]=>1101010 [[1,2,5],[3,6,7],[4],[8]]=>[[1,3,5],[2,6,8],[4],[7]]=>[[1,2,6],[3,4,7],[5],[8]]=>0101011 [[1,3,4],[2,6,7],[5],[8]]=>[[1,3,4],[2,6,7],[5],[8]]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [[1,2,4],[3,6,7],[5],[8]]=>[[1,3,4],[2,6,8],[5],[7]]=>[[1,2,5],[3,4,7],[6],[8]]=>0100101 [[1,2,3],[4,6,7],[5],[8]]=>[[1,3,4],[2,7,8],[5],[6]]=>[[1,2,5],[3,4,8],[6],[7]]=>0100110 [[1,3,5],[2,4,7],[6],[8]]=>[[1,3,7],[2,5,8],[4],[6]]=>[[1,2,4],[3,6,8],[5],[7]]=>0101010 [[1,2,5],[3,4,7],[6],[8]]=>[[1,3,6],[2,5,8],[4],[7]]=>[[1,2,4],[3,6,7],[5],[8]]=>0101001 [[1,3,4],[2,5,7],[6],[8]]=>[[1,3,7],[2,6,8],[4],[5]]=>[[1,2,4],[3,7,8],[5],[6]]=>0101100 [[1,2,4],[3,5,7],[6],[8]]=>[[1,3,6],[2,7,8],[4],[5]]=>[[1,2,7],[3,4,8],[5],[6]]=>0101101 [[1,2,3],[4,5,7],[6],[8]]=>[[1,3,5],[2,7,8],[4],[6]]=>[[1,2,6],[3,4,8],[5],[7]]=>0101010 [[1,3,5],[2,4,6],[7],[8]]=>[[1,5,7],[2,6,8],[3],[4]]=>[[1,2,6],[3,7,8],[4],[5]]=>0111010 [[1,2,5],[3,4,6],[7],[8]]=>[[1,5,6],[2,7,8],[3],[4]]=>[[1,2,7],[3,6,8],[4],[5]]=>0111001 [[1,3,4],[2,5,6],[7],[8]]=>[[1,4,7],[2,6,8],[3],[5]]=>[[1,2,5],[3,7,8],[4],[6]]=>0110100 [[1,2,4],[3,5,6],[7],[8]]=>[[1,4,6],[2,7,8],[3],[5]]=>[[1,2,7],[3,5,8],[4],[6]]=>0110101 [[1,2,3],[4,5,6],[7],[8]]=>[[1,4,5],[2,7,8],[3],[6]]=>[[1,2,6],[3,5,8],[4],[7]]=>0110010 [[1,5,8],[2,6],[3,7],[4]]=>[[1,2,5],[3,6],[4,7],[8]]=>[[1,3,6],[2,7],[4,8],[5]]=>1011011 [[1,4,8],[2,6],[3,7],[5]]=>[[1,2,4],[3,6],[5,7],[8]]=>[[1,3,5],[2,7],[4,8],[6]]=>1010101 [[1,3,8],[2,6],[4,7],[5]]=>[[1,2,4],[3,5],[6,7],[8]]=>[[1,3,5],[2,6],[4,8],[7]]=>1010110 [[1,2,8],[3,6],[4,7],[5]]=>[[1,2,4],[3,5],[6,8],[7]]=>[[1,3,5],[2,6],[4,7],[8]]=>1010111 [[1,4,8],[2,5],[3,7],[6]]=>[[1,2,3],[4,6],[5,7],[8]]=>[[1,3,4],[2,7],[5,8],[6]]=>1001101 [[1,3,8],[2,5],[4,7],[6]]=>[[1,2,3],[4,5],[6,7],[8]]=>[[1,3,4],[2,6],[5,8],[7]]=>1001010 [[1,2,8],[3,5],[4,7],[6]]=>[[1,2,3],[4,5],[6,8],[7]]=>[[1,3,4],[2,6],[5,7],[8]]=>1001011 [[1,3,8],[2,4],[5,7],[6]]=>[[1,2,3],[4,7],[5,8],[6]]=>[[1,3,4],[2,5],[6,8],[7]]=>1001110 [[1,2,8],[3,4],[5,7],[6]]=>[[1,2,3],[4,6],[5,8],[7]]=>[[1,3,4],[2,5],[6,7],[8]]=>1001101 [[1,4,8],[2,5],[3,6],[7]]=>[[1,2,6],[3,7],[4,8],[5]]=>[[1,3,7],[2,4],[5,8],[6]]=>1011101 [[1,3,8],[2,5],[4,6],[7]]=>[[1,2,5],[3,7],[4,8],[6]]=>[[1,3,6],[2,4],[5,8],[7]]=>1011010 [[1,2,8],[3,5],[4,6],[7]]=>[[1,2,5],[3,6],[4,8],[7]]=>[[1,3,6],[2,4],[5,7],[8]]=>1011011 [[1,3,8],[2,4],[5,6],[7]]=>[[1,2,4],[3,7],[5,8],[6]]=>[[1,3,5],[2,4],[6,8],[7]]=>1010110 [[1,2,8],[3,4],[5,6],[7]]=>[[1,2,4],[3,6],[5,8],[7]]=>[[1,3,5],[2,4],[6,7],[8]]=>1010101 [[1,5,7],[2,6],[3,8],[4]]=>[[1,3,5],[2,6],[4,7],[8]]=>[[1,4,6],[2,7],[3,8],[5]]=>1101011 [[1,4,7],[2,6],[3,8],[5]]=>[[1,3,4],[2,6],[5,7],[8]]=>[[1,4,5],[2,7],[3,8],[6]]=>1100101 [[1,3,7],[2,6],[4,8],[5]]=>[[1,3,4],[2,5],[6,7],[8]]=>[[1,4,5],[2,6],[3,8],[7]]=>1100110 [[1,2,7],[3,6],[4,8],[5]]=>[[1,3,4],[2,5],[6,8],[7]]=>[[1,4,5],[2,6],[3,7],[8]]=>1100111 [[1,4,7],[2,5],[3,8],[6]]=>[[1,3,6],[2,4],[5,7],[8]]=>[[1,4,7],[2,5],[3,8],[6]]=>1101101 [[1,3,7],[2,5],[4,8],[6]]=>[[1,3,5],[2,4],[6,7],[8]]=>[[1,4,6],[2,5],[3,8],[7]]=>1101010 [[1,2,7],[3,5],[4,8],[6]]=>[[1,3,5],[2,4],[6,8],[7]]=>[[1,4,6],[2,5],[3,7],[8]]=>1101011 [[1,3,7],[2,4],[5,8],[6]]=>[[1,3,7],[2,4],[5,8],[6]]=>[[1,4,8],[2,5],[3,6],[7]]=>1101110 [[1,2,7],[3,4],[5,8],[6]]=>[[1,3,6],[2,4],[5,8],[7]]=>[[1,4,7],[2,5],[3,6],[8]]=>1101101 [[1,5,6],[2,7],[3,8],[4]]=>[[1,4,5],[2,6],[3,7],[8]]=>[[1,5,6],[2,7],[3,8],[4]]=>1110011 [[1,4,6],[2,7],[3,8],[5]]=>[[1,4,6],[2,5],[3,7],[8]]=>[[1,5,7],[2,6],[3,8],[4]]=>1110101 [[1,3,6],[2,7],[4,8],[5]]=>[[1,4,7],[2,5],[3,6],[8]]=>[[1,5,8],[2,6],[3,7],[4]]=>1110110 [[1,2,6],[3,7],[4,8],[5]]=>[[1,4,8],[2,5],[3,6],[7]]=>[[1,2,5],[3,6],[4,7],[8]]=>0110111 [[1,4,5],[2,7],[3,8],[6]]=>[[1,3,6],[2,5],[4,7],[8]]=>[[1,4,7],[2,6],[3,8],[5]]=>1101001 [[1,3,5],[2,7],[4,8],[6]]=>[[1,3,7],[2,5],[4,6],[8]]=>[[1,4,8],[2,6],[3,7],[5]]=>1101010 [[1,2,5],[3,7],[4,8],[6]]=>[[1,3,8],[2,5],[4,6],[7]]=>[[1,2,4],[3,6],[5,7],[8]]=>0101011 [[1,3,4],[2,7],[5,8],[6]]=>[[1,3,7],[2,4],[5,6],[8]]=>[[1,4,8],[2,5],[3,7],[6]]=>1101100 [[1,2,4],[3,7],[5,8],[6]]=>[[1,3,8],[2,4],[5,6],[7]]=>[[1,2,4],[3,5],[6,7],[8]]=>0101101 [[1,2,3],[4,7],[5,8],[6]]=>[[1,3,8],[2,4],[5,7],[6]]=>[[1,2,4],[3,5],[6,8],[7]]=>0101110 [[1,4,6],[2,5],[3,8],[7]]=>[[1,2,6],[3,4],[5,7],[8]]=>[[1,3,7],[2,5],[4,8],[6]]=>1010101 [[1,3,6],[2,5],[4,8],[7]]=>[[1,2,5],[3,4],[6,7],[8]]=>[[1,3,6],[2,5],[4,8],[7]]=>1010010 [[1,2,6],[3,5],[4,8],[7]]=>[[1,2,5],[3,4],[6,8],[7]]=>[[1,3,6],[2,5],[4,7],[8]]=>1010011 [[1,3,6],[2,4],[5,8],[7]]=>[[1,2,7],[3,4],[5,8],[6]]=>[[1,3,8],[2,5],[4,6],[7]]=>1010110 [[1,2,6],[3,4],[5,8],[7]]=>[[1,2,6],[3,4],[5,8],[7]]=>[[1,3,7],[2,5],[4,6],[8]]=>1010101 [[1,4,5],[2,6],[3,8],[7]]=>[[1,2,6],[3,5],[4,7],[8]]=>[[1,3,7],[2,6],[4,8],[5]]=>1011001 [[1,3,5],[2,6],[4,8],[7]]=>[[1,2,7],[3,5],[4,6],[8]]=>[[1,3,8],[2,6],[4,7],[5]]=>1011010 [[1,2,5],[3,6],[4,8],[7]]=>[[1,2,8],[3,5],[4,6],[7]]=>[[1,2,3],[4,6],[5,7],[8]]=>0011011 [[1,3,4],[2,6],[5,8],[7]]=>[[1,2,7],[3,4],[5,6],[8]]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [[1,2,4],[3,6],[5,8],[7]]=>[[1,2,8],[3,4],[5,6],[7]]=>[[1,2,3],[4,5],[6,7],[8]]=>0010101 [[1,2,3],[4,6],[5,8],[7]]=>[[1,2,8],[3,4],[5,7],[6]]=>[[1,2,3],[4,5],[6,8],[7]]=>0010110 [[1,3,5],[2,4],[6,8],[7]]=>[[1,2,7],[3,5],[4,8],[6]]=>[[1,3,8],[2,4],[5,6],[7]]=>1011010 [[1,2,5],[3,4],[6,8],[7]]=>[[1,2,6],[3,5],[4,8],[7]]=>[[1,3,7],[2,4],[5,6],[8]]=>1011001 [[1,3,4],[2,5],[6,8],[7]]=>[[1,2,7],[3,6],[4,8],[5]]=>[[1,3,8],[2,4],[5,7],[6]]=>1011100 [[1,2,4],[3,5],[6,8],[7]]=>[[1,2,8],[3,6],[4,7],[5]]=>[[1,2,3],[4,7],[5,8],[6]]=>0011101 [[1,2,3],[4,5],[6,8],[7]]=>[[1,2,8],[3,5],[4,7],[6]]=>[[1,2,3],[4,6],[5,8],[7]]=>0011010 [[1,4,7],[2,5],[3,6],[8]]=>[[1,3,6],[2,7],[4,8],[5]]=>[[1,2,7],[3,4],[5,8],[6]]=>0101101 [[1,3,7],[2,5],[4,6],[8]]=>[[1,3,5],[2,7],[4,8],[6]]=>[[1,2,6],[3,4],[5,8],[7]]=>0101010 [[1,2,7],[3,5],[4,6],[8]]=>[[1,3,5],[2,6],[4,8],[7]]=>[[1,2,6],[3,4],[5,7],[8]]=>0101011 [[1,3,7],[2,4],[5,6],[8]]=>[[1,3,4],[2,7],[5,8],[6]]=>[[1,2,5],[3,4],[6,8],[7]]=>0100110 [[1,2,7],[3,4],[5,6],[8]]=>[[1,3,4],[2,6],[5,8],[7]]=>[[1,2,5],[3,4],[6,7],[8]]=>0100101 [[1,4,6],[2,5],[3,7],[8]]=>[[1,4,6],[2,7],[3,8],[5]]=>[[1,2,7],[3,5],[4,8],[6]]=>0110101 [[1,3,6],[2,5],[4,7],[8]]=>[[1,4,5],[2,7],[3,8],[6]]=>[[1,2,6],[3,5],[4,8],[7]]=>0110010 [[1,2,6],[3,5],[4,7],[8]]=>[[1,4,5],[2,6],[3,8],[7]]=>[[1,2,6],[3,5],[4,7],[8]]=>0110011 [[1,3,6],[2,4],[5,7],[8]]=>[[1,4,7],[2,5],[3,8],[6]]=>[[1,2,8],[3,5],[4,6],[7]]=>0110110 [[1,2,6],[3,4],[5,7],[8]]=>[[1,4,6],[2,5],[3,8],[7]]=>[[1,2,7],[3,5],[4,6],[8]]=>0110101 [[1,4,5],[2,6],[3,7],[8]]=>[[1,5,6],[2,7],[3,8],[4]]=>[[1,2,7],[3,6],[4,8],[5]]=>0111001 [[1,3,5],[2,6],[4,7],[8]]=>[[1,5,7],[2,6],[3,8],[4]]=>[[1,2,8],[3,6],[4,7],[5]]=>0111010 [[1,2,5],[3,6],[4,7],[8]]=>[[1,5,8],[2,6],[3,7],[4]]=>[[1,2,6],[3,7],[4,8],[5]]=>0111011 [[1,3,4],[2,6],[5,7],[8]]=>[[1,4,7],[2,6],[3,8],[5]]=>[[1,2,8],[3,5],[4,7],[6]]=>0110100 [[1,2,4],[3,6],[5,7],[8]]=>[[1,4,8],[2,6],[3,7],[5]]=>[[1,2,5],[3,7],[4,8],[6]]=>0110101 [[1,2,3],[4,6],[5,7],[8]]=>[[1,4,8],[2,5],[3,7],[6]]=>[[1,2,5],[3,6],[4,8],[7]]=>0110110 [[1,3,5],[2,4],[6,7],[8]]=>[[1,3,7],[2,5],[4,8],[6]]=>[[1,2,8],[3,4],[5,6],[7]]=>0101010 [[1,2,5],[3,4],[6,7],[8]]=>[[1,3,6],[2,5],[4,8],[7]]=>[[1,2,7],[3,4],[5,6],[8]]=>0101001 [[1,3,4],[2,5],[6,7],[8]]=>[[1,3,7],[2,6],[4,8],[5]]=>[[1,2,8],[3,4],[5,7],[6]]=>0101100 [[1,2,4],[3,5],[6,7],[8]]=>[[1,3,8],[2,6],[4,7],[5]]=>[[1,2,4],[3,7],[5,8],[6]]=>0101101 [[1,2,3],[4,5],[6,7],[8]]=>[[1,3,8],[2,5],[4,7],[6]]=>[[1,2,4],[3,6],[5,8],[7]]=>0101010 [[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]=>[[1,3,5],[2,6],[4],[7],[8]]=>1010111 [[1,5,8],[2,7],[3],[4],[6]]=>[[1,2,3],[4,5],[6],[7],[8]]=>[[1,3,4],[2,6],[5],[7],[8]]=>1001011 [[1,4,8],[2,7],[3],[5],[6]]=>[[1,2,3],[4,6],[5],[7],[8]]=>[[1,3,4],[2,7],[5],[6],[8]]=>1001101 [[1,3,8],[2,7],[4],[5],[6]]=>[[1,2,3],[4,7],[5],[6],[8]]=>[[1,3,4],[2,8],[5],[6],[7]]=>1001110 [[1,2,8],[3,7],[4],[5],[6]]=>[[1,2,3],[4,8],[5],[6],[7]]=>[[1,3,4],[2,5],[6],[7],[8]]=>1001111 [[1,5,8],[2,6],[3],[4],[7]]=>[[1,2,5],[3,6],[4],[7],[8]]=>[[1,3,6],[2,7],[4],[5],[8]]=>1011011 [[1,4,8],[2,6],[3],[5],[7]]=>[[1,2,4],[3,6],[5],[7],[8]]=>[[1,3,5],[2,7],[4],[6],[8]]=>1010101 [[1,3,8],[2,6],[4],[5],[7]]=>[[1,2,4],[3,7],[5],[6],[8]]=>[[1,3,5],[2,8],[4],[6],[7]]=>1010110 [[1,2,8],[3,6],[4],[5],[7]]=>[[1,2,4],[3,8],[5],[6],[7]]=>[[1,3,5],[2,4],[6],[7],[8]]=>1010111 [[1,4,8],[2,5],[3],[6],[7]]=>[[1,2,6],[3,7],[4],[5],[8]]=>[[1,3,7],[2,8],[4],[5],[6]]=>1011101 [[1,3,8],[2,5],[4],[6],[7]]=>[[1,2,5],[3,7],[4],[6],[8]]=>[[1,3,6],[2,8],[4],[5],[7]]=>1011010 [[1,2,8],[3,5],[4],[6],[7]]=>[[1,2,5],[3,8],[4],[6],[7]]=>[[1,3,6],[2,4],[5],[7],[8]]=>1011011 [[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[[1,3,8],[2,4],[5],[6],[7]]=>1011110 [[1,2,8],[3,4],[5],[6],[7]]=>[[1,2,6],[3,8],[4],[5],[7]]=>[[1,3,7],[2,4],[5],[6],[8]]=>1011101 [[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]=>[[1,4,5],[2,6],[3],[7],[8]]=>1100111 [[1,5,7],[2,8],[3],[4],[6]]=>[[1,3,5],[2,4],[6],[7],[8]]=>[[1,4,6],[2,5],[3],[7],[8]]=>1101011 [[1,4,7],[2,8],[3],[5],[6]]=>[[1,3,6],[2,4],[5],[7],[8]]=>[[1,4,7],[2,5],[3],[6],[8]]=>1101101 [[1,3,7],[2,8],[4],[5],[6]]=>[[1,3,7],[2,4],[5],[6],[8]]=>[[1,4,8],[2,5],[3],[6],[7]]=>1101110 [[1,2,7],[3,8],[4],[5],[6]]=>[[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,4],[3,5],[6],[7],[8]]=>0101111 [[1,5,6],[2,8],[3],[4],[7]]=>[[1,2,5],[3,4],[6],[7],[8]]=>[[1,3,6],[2,5],[4],[7],[8]]=>1010011 [[1,4,6],[2,8],[3],[5],[7]]=>[[1,2,6],[3,4],[5],[7],[8]]=>[[1,3,7],[2,5],[4],[6],[8]]=>1010101 [[1,3,6],[2,8],[4],[5],[7]]=>[[1,2,7],[3,4],[5],[6],[8]]=>[[1,3,8],[2,5],[4],[6],[7]]=>1010110 [[1,2,6],[3,8],[4],[5],[7]]=>[[1,2,8],[3,4],[5],[6],[7]]=>[[1,2,3],[4,5],[6],[7],[8]]=>0010111 [[1,4,5],[2,8],[3],[6],[7]]=>[[1,2,6],[3,5],[4],[7],[8]]=>[[1,3,7],[2,6],[4],[5],[8]]=>1011001 [[1,3,5],[2,8],[4],[6],[7]]=>[[1,2,7],[3,5],[4],[6],[8]]=>[[1,3,8],[2,6],[4],[5],[7]]=>1011010 [[1,2,5],[3,8],[4],[6],[7]]=>[[1,2,8],[3,5],[4],[6],[7]]=>[[1,2,3],[4,6],[5],[7],[8]]=>0011011 [[1,3,4],[2,8],[5],[6],[7]]=>[[1,2,7],[3,6],[4],[5],[8]]=>[[1,3,8],[2,7],[4],[5],[6]]=>1011100 [[1,2,4],[3,8],[5],[6],[7]]=>[[1,2,8],[3,6],[4],[5],[7]]=>[[1,2,3],[4,7],[5],[6],[8]]=>0011101 [[1,2,3],[4,8],[5],[6],[7]]=>[[1,2,8],[3,7],[4],[5],[6]]=>[[1,2,3],[4,8],[5],[6],[7]]=>0011110 [[1,5,7],[2,6],[3],[4],[8]]=>[[1,3,5],[2,6],[4],[7],[8]]=>[[1,4,6],[2,7],[3],[5],[8]]=>1101011 [[1,4,7],[2,6],[3],[5],[8]]=>[[1,3,4],[2,6],[5],[7],[8]]=>[[1,4,5],[2,7],[3],[6],[8]]=>1100101 [[1,3,7],[2,6],[4],[5],[8]]=>[[1,3,4],[2,7],[5],[6],[8]]=>[[1,4,5],[2,8],[3],[6],[7]]=>1100110 [[1,2,7],[3,6],[4],[5],[8]]=>[[1,3,4],[2,8],[5],[6],[7]]=>[[1,2,5],[3,4],[6],[7],[8]]=>0100111 [[1,4,7],[2,5],[3],[6],[8]]=>[[1,3,6],[2,7],[4],[5],[8]]=>[[1,4,7],[2,8],[3],[5],[6]]=>1101101 [[1,3,7],[2,5],[4],[6],[8]]=>[[1,3,5],[2,7],[4],[6],[8]]=>[[1,4,6],[2,8],[3],[5],[7]]=>1101010 [[1,2,7],[3,5],[4],[6],[8]]=>[[1,3,5],[2,8],[4],[6],[7]]=>[[1,2,6],[3,4],[5],[7],[8]]=>0101011 [[1,3,7],[2,4],[5],[6],[8]]=>[[1,3,7],[2,8],[4],[5],[6]]=>[[1,2,8],[3,4],[5],[6],[7]]=>0101110 [[1,2,7],[3,4],[5],[6],[8]]=>[[1,3,6],[2,8],[4],[5],[7]]=>[[1,2,7],[3,4],[5],[6],[8]]=>0101101 [[1,5,6],[2,7],[3],[4],[8]]=>[[1,4,5],[2,6],[3],[7],[8]]=>[[1,5,6],[2,7],[3],[4],[8]]=>1110011 [[1,4,6],[2,7],[3],[5],[8]]=>[[1,4,6],[2,5],[3],[7],[8]]=>[[1,5,7],[2,6],[3],[4],[8]]=>1110101 [[1,3,6],[2,7],[4],[5],[8]]=>[[1,4,7],[2,5],[3],[6],[8]]=>[[1,5,8],[2,6],[3],[4],[7]]=>1110110 [[1,2,6],[3,7],[4],[5],[8]]=>[[1,4,8],[2,5],[3],[6],[7]]=>[[1,2,5],[3,6],[4],[7],[8]]=>0110111 [[1,4,5],[2,7],[3],[6],[8]]=>[[1,3,6],[2,5],[4],[7],[8]]=>[[1,4,7],[2,6],[3],[5],[8]]=>1101001 [[1,3,5],[2,7],[4],[6],[8]]=>[[1,3,7],[2,5],[4],[6],[8]]=>[[1,4,8],[2,6],[3],[5],[7]]=>1101010 [[1,2,5],[3,7],[4],[6],[8]]=>[[1,3,8],[2,5],[4],[6],[7]]=>[[1,2,4],[3,6],[5],[7],[8]]=>0101011 [[1,3,4],[2,7],[5],[6],[8]]=>[[1,3,7],[2,6],[4],[5],[8]]=>[[1,4,8],[2,7],[3],[5],[6]]=>1101100 [[1,2,4],[3,7],[5],[6],[8]]=>[[1,3,8],[2,6],[4],[5],[7]]=>[[1,2,4],[3,7],[5],[6],[8]]=>0101101 [[1,2,3],[4,7],[5],[6],[8]]=>[[1,3,8],[2,7],[4],[5],[6]]=>[[1,2,4],[3,8],[5],[6],[7]]=>0101110 [[1,4,6],[2,5],[3],[7],[8]]=>[[1,4,6],[2,7],[3],[5],[8]]=>[[1,5,7],[2,8],[3],[4],[6]]=>1110101 [[1,3,6],[2,5],[4],[7],[8]]=>[[1,4,5],[2,7],[3],[6],[8]]=>[[1,5,6],[2,8],[3],[4],[7]]=>1110010 [[1,2,6],[3,5],[4],[7],[8]]=>[[1,4,5],[2,8],[3],[6],[7]]=>[[1,2,6],[3,5],[4],[7],[8]]=>0110011 [[1,3,6],[2,4],[5],[7],[8]]=>[[1,4,7],[2,8],[3],[5],[6]]=>[[1,2,8],[3,5],[4],[6],[7]]=>0110110 [[1,2,6],[3,4],[5],[7],[8]]=>[[1,4,6],[2,8],[3],[5],[7]]=>[[1,2,7],[3,5],[4],[6],[8]]=>0110101 [[1,4,5],[2,6],[3],[7],[8]]=>[[1,5,6],[2,7],[3],[4],[8]]=>[[1,6,7],[2,8],[3],[4],[5]]=>1111001 [[1,3,5],[2,6],[4],[7],[8]]=>[[1,5,7],[2,6],[3],[4],[8]]=>[[1,6,8],[2,7],[3],[4],[5]]=>1111010 [[1,2,5],[3,6],[4],[7],[8]]=>[[1,5,8],[2,6],[3],[4],[7]]=>[[1,2,6],[3,7],[4],[5],[8]]=>0111011 [[1,3,4],[2,6],[5],[7],[8]]=>[[1,4,7],[2,6],[3],[5],[8]]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [[1,2,4],[3,6],[5],[7],[8]]=>[[1,4,8],[2,6],[3],[5],[7]]=>[[1,2,5],[3,7],[4],[6],[8]]=>0110101 [[1,2,3],[4,6],[5],[7],[8]]=>[[1,4,8],[2,7],[3],[5],[6]]=>[[1,2,5],[3,8],[4],[6],[7]]=>0110110 [[1,3,5],[2,4],[6],[7],[8]]=>[[1,5,7],[2,8],[3],[4],[6]]=>[[1,2,8],[3,6],[4],[5],[7]]=>0111010 [[1,2,5],[3,4],[6],[7],[8]]=>[[1,5,6],[2,8],[3],[4],[7]]=>[[1,2,7],[3,6],[4],[5],[8]]=>0111001 [[1,3,4],[2,5],[6],[7],[8]]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,2,8],[3,7],[4],[5],[6]]=>0111100 [[1,2,4],[3,5],[6],[7],[8]]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,7],[3,8],[4],[5],[6]]=>0111101 [[1,2,3],[4,5],[6],[7],[8]]=>[[1,5,8],[2,7],[3],[4],[6]]=>[[1,2,6],[3,8],[4],[5],[7]]=>0111010 [[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[[1,3,4],[2],[5],[6],[7],[8]]=>1001111 [[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[[1,3,5],[2],[4],[6],[7],[8]]=>1010111 [[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[[1,3,6],[2],[4],[5],[7],[8]]=>1011011 [[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[[1,3,7],[2],[4],[5],[6],[8]]=>1011101 [[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[[1,3,8],[2],[4],[5],[6],[7]]=>1011110 [[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7],[8]]=>0011111 [[1,6,7],[2],[3],[4],[5],[8]]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[[1,4,5],[2],[3],[6],[7],[8]]=>1100111 [[1,5,7],[2],[3],[4],[6],[8]]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[[1,4,6],[2],[3],[5],[7],[8]]=>1101011 [[1,4,7],[2],[3],[5],[6],[8]]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[[1,4,7],[2],[3],[5],[6],[8]]=>1101101 [[1,3,7],[2],[4],[5],[6],[8]]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[[1,4,8],[2],[3],[5],[6],[7]]=>1101110 [[1,2,7],[3],[4],[5],[6],[8]]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]=>0101111 [[1,5,6],[2],[3],[4],[7],[8]]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[[1,5,6],[2],[3],[4],[7],[8]]=>1110011 [[1,4,6],[2],[3],[5],[7],[8]]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[[1,5,7],[2],[3],[4],[6],[8]]=>1110101 [[1,3,6],[2],[4],[5],[7],[8]]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[[1,5,8],[2],[3],[4],[6],[7]]=>1110110 [[1,2,6],[3],[4],[5],[7],[8]]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,5],[3],[4],[6],[7],[8]]=>0110111 [[1,4,5],[2],[3],[6],[7],[8]]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[[1,6,7],[2],[3],[4],[5],[8]]=>1111001 [[1,3,5],[2],[4],[6],[7],[8]]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[[1,6,8],[2],[3],[4],[5],[7]]=>1111010 [[1,2,5],[3],[4],[6],[7],[8]]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]=>0111011 [[1,3,4],[2],[5],[6],[7],[8]]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [[1,2,4],[3],[5],[6],[7],[8]]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]=>0111101 [[1,2,3],[4],[5],[6],[7],[8]]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>0111110 [[1,5],[2,6],[3,7],[4,8]]=>[[1,5],[2,6],[3,7],[4,8]]=>[[1,2],[3,6],[4,7],[5,8]]=>0111011 [[1,4],[2,6],[3,7],[5,8]]=>[[1,4],[2,6],[3,7],[5,8]]=>[[1,2],[3,5],[4,7],[6,8]]=>0110101 [[1,3],[2,6],[4,7],[5,8]]=>[[1,4],[2,5],[3,7],[6,8]]=>[[1,2],[3,5],[4,6],[7,8]]=>0110110 [[1,2],[3,6],[4,7],[5,8]]=>[[1,4],[2,5],[3,6],[7,8]]=>[[1,5],[2,6],[3,7],[4,8]]=>1110111 [[1,4],[2,5],[3,7],[6,8]]=>[[1,3],[2,6],[4,7],[5,8]]=>[[1,2],[3,4],[5,7],[6,8]]=>0101101 [[1,3],[2,5],[4,7],[6,8]]=>[[1,3],[2,5],[4,7],[6,8]]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [[1,2],[3,5],[4,7],[6,8]]=>[[1,3],[2,5],[4,6],[7,8]]=>[[1,4],[2,6],[3,7],[5,8]]=>1101011 [[1,3],[2,4],[5,7],[6,8]]=>[[1,3],[2,4],[5,7],[6,8]]=>[[1,4],[2,5],[3,6],[7,8]]=>1101110 [[1,2],[3,4],[5,7],[6,8]]=>[[1,3],[2,4],[5,6],[7,8]]=>[[1,4],[2,5],[3,7],[6,8]]=>1101101 [[1,4],[2,5],[3,6],[7,8]]=>[[1,2],[3,6],[4,7],[5,8]]=>[[1,3],[2,4],[5,7],[6,8]]=>1011101 [[1,3],[2,5],[4,6],[7,8]]=>[[1,2],[3,5],[4,7],[6,8]]=>[[1,3],[2,4],[5,6],[7,8]]=>1011010 [[1,2],[3,5],[4,6],[7,8]]=>[[1,2],[3,5],[4,6],[7,8]]=>[[1,3],[2,6],[4,7],[5,8]]=>1011011 [[1,3],[2,4],[5,6],[7,8]]=>[[1,2],[3,4],[5,7],[6,8]]=>[[1,3],[2,5],[4,6],[7,8]]=>1010110 [[1,2],[3,4],[5,6],[7,8]]=>[[1,2],[3,4],[5,6],[7,8]]=>[[1,3],[2,5],[4,7],[6,8]]=>1010101 [[1,6],[2,7],[3,8],[4],[5]]=>[[1,4],[2,5],[3,6],[7],[8]]=>[[1,5],[2,6],[3,7],[4],[8]]=>1110111 [[1,5],[2,7],[3,8],[4],[6]]=>[[1,3],[2,5],[4,6],[7],[8]]=>[[1,4],[2,6],[3,7],[5],[8]]=>1101011 [[1,4],[2,7],[3,8],[5],[6]]=>[[1,3],[2,4],[5,6],[7],[8]]=>[[1,4],[2,5],[3,7],[6],[8]]=>1101101 [[1,3],[2,7],[4,8],[5],[6]]=>[[1,3],[2,4],[5,7],[6],[8]]=>[[1,4],[2,5],[3,8],[6],[7]]=>1101110 [[1,2],[3,7],[4,8],[5],[6]]=>[[1,3],[2,4],[5,8],[6],[7]]=>[[1,4],[2,5],[3,6],[7],[8]]=>1101111 [[1,5],[2,6],[3,8],[4],[7]]=>[[1,2],[3,5],[4,6],[7],[8]]=>[[1,3],[2,6],[4,7],[5],[8]]=>1011011 [[1,4],[2,6],[3,8],[5],[7]]=>[[1,2],[3,4],[5,6],[7],[8]]=>[[1,3],[2,5],[4,7],[6],[8]]=>1010101 [[1,3],[2,6],[4,8],[5],[7]]=>[[1,2],[3,4],[5,7],[6],[8]]=>[[1,3],[2,5],[4,8],[6],[7]]=>1010110 [[1,2],[3,6],[4,8],[5],[7]]=>[[1,2],[3,4],[5,8],[6],[7]]=>[[1,3],[2,5],[4,6],[7],[8]]=>1010111 [[1,4],[2,5],[3,8],[6],[7]]=>[[1,2],[3,6],[4,7],[5],[8]]=>[[1,3],[2,7],[4,8],[5],[6]]=>1011101 [[1,3],[2,5],[4,8],[6],[7]]=>[[1,2],[3,5],[4,7],[6],[8]]=>[[1,3],[2,6],[4,8],[5],[7]]=>1011010 [[1,2],[3,5],[4,8],[6],[7]]=>[[1,2],[3,5],[4,8],[6],[7]]=>[[1,3],[2,4],[5,6],[7],[8]]=>1011011 [[1,3],[2,4],[5,8],[6],[7]]=>[[1,2],[3,7],[4,8],[5],[6]]=>[[1,3],[2,4],[5,8],[6],[7]]=>1011110 [[1,2],[3,4],[5,8],[6],[7]]=>[[1,2],[3,6],[4,8],[5],[7]]=>[[1,3],[2,4],[5,7],[6],[8]]=>1011101 [[1,5],[2,6],[3,7],[4],[8]]=>[[1,5],[2,6],[3,7],[4],[8]]=>[[1,6],[2,7],[3,8],[4],[5]]=>1111011 [[1,4],[2,6],[3,7],[5],[8]]=>[[1,4],[2,6],[3,7],[5],[8]]=>[[1,5],[2,7],[3,8],[4],[6]]=>1110101 [[1,3],[2,6],[4,7],[5],[8]]=>[[1,4],[2,5],[3,7],[6],[8]]=>[[1,5],[2,6],[3,8],[4],[7]]=>1110110 [[1,2],[3,6],[4,7],[5],[8]]=>[[1,4],[2,5],[3,8],[6],[7]]=>[[1,2],[3,5],[4,6],[7],[8]]=>0110111 [[1,4],[2,5],[3,7],[6],[8]]=>[[1,3],[2,6],[4,7],[5],[8]]=>[[1,4],[2,7],[3,8],[5],[6]]=>1101101 [[1,3],[2,5],[4,7],[6],[8]]=>[[1,3],[2,5],[4,7],[6],[8]]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [[1,2],[3,5],[4,7],[6],[8]]=>[[1,3],[2,5],[4,8],[6],[7]]=>[[1,2],[3,4],[5,6],[7],[8]]=>0101011 [[1,3],[2,4],[5,7],[6],[8]]=>[[1,3],[2,7],[4,8],[5],[6]]=>[[1,2],[3,4],[5,8],[6],[7]]=>0101110 [[1,2],[3,4],[5,7],[6],[8]]=>[[1,3],[2,6],[4,8],[5],[7]]=>[[1,2],[3,4],[5,7],[6],[8]]=>0101101 [[1,4],[2,5],[3,6],[7],[8]]=>[[1,6],[2,7],[3,8],[4],[5]]=>[[1,2],[3,7],[4,8],[5],[6]]=>0111101 [[1,3],[2,5],[4,6],[7],[8]]=>[[1,5],[2,7],[3,8],[4],[6]]=>[[1,2],[3,6],[4,8],[5],[7]]=>0111010 [[1,2],[3,5],[4,6],[7],[8]]=>[[1,5],[2,6],[3,8],[4],[7]]=>[[1,2],[3,6],[4,7],[5],[8]]=>0111011 [[1,3],[2,4],[5,6],[7],[8]]=>[[1,4],[2,7],[3,8],[5],[6]]=>[[1,2],[3,5],[4,8],[6],[7]]=>0110110 [[1,2],[3,4],[5,6],[7],[8]]=>[[1,4],[2,6],[3,8],[5],[7]]=>[[1,2],[3,5],[4,7],[6],[8]]=>0110101 [[1,7],[2,8],[3],[4],[5],[6]]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[[1,4],[2,5],[3],[6],[7],[8]]=>1101111 [[1,6],[2,8],[3],[4],[5],[7]]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[[1,3],[2,5],[4],[6],[7],[8]]=>1010111 [[1,5],[2,8],[3],[4],[6],[7]]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[[1,3],[2,6],[4],[5],[7],[8]]=>1011011 [[1,4],[2,8],[3],[5],[6],[7]]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[[1,3],[2,7],[4],[5],[6],[8]]=>1011101 [[1,3],[2,8],[4],[5],[6],[7]]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[[1,3],[2,8],[4],[5],[6],[7]]=>1011110 [[1,2],[3,8],[4],[5],[6],[7]]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[[1,3],[2,4],[5],[6],[7],[8]]=>1011111 [[1,6],[2,7],[3],[4],[5],[8]]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[[1,5],[2,6],[3],[4],[7],[8]]=>1110111 [[1,5],[2,7],[3],[4],[6],[8]]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[[1,4],[2,6],[3],[5],[7],[8]]=>1101011 [[1,4],[2,7],[3],[5],[6],[8]]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[[1,4],[2,7],[3],[5],[6],[8]]=>1101101 [[1,3],[2,7],[4],[5],[6],[8]]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[[1,4],[2,8],[3],[5],[6],[7]]=>1101110 [[1,2],[3,7],[4],[5],[6],[8]]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[[1,2],[3,4],[5],[6],[7],[8]]=>0101111 [[1,5],[2,6],[3],[4],[7],[8]]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[[1,6],[2,7],[3],[4],[5],[8]]=>1111011 [[1,4],[2,6],[3],[5],[7],[8]]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[[1,5],[2,7],[3],[4],[6],[8]]=>1110101 [[1,3],[2,6],[4],[5],[7],[8]]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[[1,5],[2,8],[3],[4],[6],[7]]=>1110110 [[1,2],[3,6],[4],[5],[7],[8]]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[[1,2],[3,5],[4],[6],[7],[8]]=>0110111 [[1,4],[2,5],[3],[6],[7],[8]]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[[1,7],[2,8],[3],[4],[5],[6]]=>1111101 [[1,3],[2,5],[4],[6],[7],[8]]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [[1,2],[3,5],[4],[6],[7],[8]]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[[1,2],[3,6],[4],[5],[7],[8]]=>0111011 [[1,3],[2,4],[5],[6],[7],[8]]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[[1,2],[3,8],[4],[5],[6],[7]]=>0111110 [[1,2],[3,4],[5],[6],[7],[8]]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[[1,2],[3,7],[4],[5],[6],[8]]=>0111101 [[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>1011111 [[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>1101111 [[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>1110111 [[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>1111011 [[1,4],[2],[3],[5],[6],[7],[8]]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>1111101 [[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>0111111 [[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>1111111 [[1,3,5,7,9],[2,4,6,8,10]]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[[1,2,4,6,8],[3,5,7,9,10]]=>010101010 [[1,3,5,7,8],[2,4,6,9,10]]=>[[1,2,5,7,9],[3,4,6,8,10]]=>[[1,2,3,6,8],[4,5,7,9,10]]=>001001010 [[1,3,5,6,9],[2,4,7,8,10]]=>[[1,3,4,7,9],[2,5,6,8,10]]=>[[1,2,4,5,8],[3,6,7,9,10]]=>010010010 [[1,3,5,6,8],[2,4,7,9,10]]=>[[1,2,4,7,9],[3,5,6,8,10]]=>[[1,2,3,5,8],[4,6,7,9,10]]=>001010010 [[1,3,5,6,7],[2,4,8,9,10]]=>[[1,2,3,7,9],[4,5,6,8,10]]=>[[1,2,3,4,8],[5,6,7,9,10]]=>000100010 [[1,3,4,7,9],[2,5,6,8,10]]=>[[1,3,5,6,9],[2,4,7,8,10]]=>[[1,2,4,6,7],[3,5,8,9,10]]=>010100100 [[1,3,4,7,8],[2,5,6,9,10]]=>[[1,2,5,6,9],[3,4,7,8,10]]=>[[1,2,3,6,7],[4,5,8,9,10]]=>001000100 [[1,3,4,6,9],[2,5,7,8,10]]=>[[1,3,4,6,9],[2,5,7,8,10]]=>[[1,2,4,5,7],[3,6,8,9,10]]=>010010100 [[1,3,4,6,8],[2,5,7,9,10]]=>[[1,2,4,6,9],[3,5,7,8,10]]=>[[1,2,3,5,7],[4,6,8,9,10]]=>001010100 [[1,3,4,6,7],[2,5,8,9,10]]=>[[1,2,3,6,9],[4,5,7,8,10]]=>[[1,2,3,4,7],[5,6,8,9,10]]=>000100100 [[1,3,4,5,9],[2,6,7,8,10]]=>[[1,3,4,5,9],[2,6,7,8,10]]=>[[1,2,4,5,6],[3,7,8,9,10]]=>010001000 [[1,3,4,5,8],[2,6,7,9,10]]=>[[1,2,4,5,9],[3,6,7,8,10]]=>[[1,2,3,5,6],[4,7,8,9,10]]=>001001000 [[1,3,4,5,7],[2,6,8,9,10]]=>[[1,2,3,5,9],[4,6,7,8,10]]=>[[1,2,3,4,6],[5,7,8,9,10]]=>000101000 [[1,3,4,5,6],[2,7,8,9,10]]=>[[1,2,3,4,9],[5,6,7,8,10]]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [[1,2,5,7,9],[3,4,6,8,10]]=>[[1,3,5,7,8],[2,4,6,9,10]]=>[[1,2,4,6,9],[3,5,7,8,10]]=>010101001 [[1,2,5,7,8],[3,4,6,9,10]]=>[[1,2,5,7,8],[3,4,6,9,10]]=>[[1,2,3,6,9],[4,5,7,8,10]]=>001001001 [[1,2,5,6,9],[3,4,7,8,10]]=>[[1,3,4,7,8],[2,5,6,9,10]]=>[[1,2,4,5,9],[3,6,7,8,10]]=>010010001 [[1,2,5,6,8],[3,4,7,9,10]]=>[[1,2,4,7,8],[3,5,6,9,10]]=>[[1,2,3,5,9],[4,6,7,8,10]]=>001010001 [[1,2,5,6,7],[3,4,8,9,10]]=>[[1,2,3,7,8],[4,5,6,9,10]]=>[[1,2,3,4,9],[5,6,7,8,10]]=>000100001 [[1,2,4,7,9],[3,5,6,8,10]]=>[[1,3,5,6,8],[2,4,7,9,10]]=>[[1,2,4,7,9],[3,5,6,8,10]]=>010100101 [[1,2,4,7,8],[3,5,6,9,10]]=>[[1,2,5,6,8],[3,4,7,9,10]]=>[[1,2,3,7,9],[4,5,6,8,10]]=>001000101 [[1,2,4,6,9],[3,5,7,8,10]]=>[[1,3,4,6,8],[2,5,7,9,10]]=>[[1,2,5,7,9],[3,4,6,8,10]]=>010010101 [[1,2,4,6,8],[3,5,7,9,10]]=>[[1,2,4,6,8],[3,5,7,9,10]]=>[[1,3,5,7,9],[2,4,6,8,10]]=>101010101 [[1,2,4,6,7],[3,5,8,9,10]]=>[[1,2,3,6,8],[4,5,7,9,10]]=>[[1,3,4,7,9],[2,5,6,8,10]]=>100100101 [[1,2,4,5,9],[3,6,7,8,10]]=>[[1,3,4,5,8],[2,6,7,9,10]]=>[[1,2,5,6,9],[3,4,7,8,10]]=>010001001 [[1,2,4,5,8],[3,6,7,9,10]]=>[[1,2,4,5,8],[3,6,7,9,10]]=>[[1,3,5,6,9],[2,4,7,8,10]]=>101001001 [[1,2,4,5,7],[3,6,8,9,10]]=>[[1,2,3,5,8],[4,6,7,9,10]]=>[[1,3,4,6,9],[2,5,7,8,10]]=>100101001 [[1,2,4,5,6],[3,7,8,9,10]]=>[[1,2,3,4,8],[5,6,7,9,10]]=>[[1,3,4,5,9],[2,6,7,8,10]]=>100010001 [[1,2,3,7,9],[4,5,6,8,10]]=>[[1,3,5,6,7],[2,4,8,9,10]]=>[[1,2,4,7,8],[3,5,6,9,10]]=>010100010 [[1,2,3,7,8],[4,5,6,9,10]]=>[[1,2,5,6,7],[3,4,8,9,10]]=>[[1,2,3,7,8],[4,5,6,9,10]]=>001000010 [[1,2,3,6,9],[4,5,7,8,10]]=>[[1,3,4,6,7],[2,5,8,9,10]]=>[[1,2,5,7,8],[3,4,6,9,10]]=>010010010 [[1,2,3,6,8],[4,5,7,9,10]]=>[[1,2,4,6,7],[3,5,8,9,10]]=>[[1,3,5,7,8],[2,4,6,9,10]]=>101010010 [[1,2,3,6,7],[4,5,8,9,10]]=>[[1,2,3,6,7],[4,5,8,9,10]]=>[[1,3,4,7,8],[2,5,6,9,10]]=>100100010 [[1,2,3,5,9],[4,6,7,8,10]]=>[[1,3,4,5,7],[2,6,8,9,10]]=>[[1,2,5,6,8],[3,4,7,9,10]]=>010001010 [[1,2,3,5,8],[4,6,7,9,10]]=>[[1,2,4,5,7],[3,6,8,9,10]]=>[[1,3,5,6,8],[2,4,7,9,10]]=>101001010 [[1,2,3,5,7],[4,6,8,9,10]]=>[[1,2,3,5,7],[4,6,8,9,10]]=>[[1,3,4,6,8],[2,5,7,9,10]]=>100101010 [[1,2,3,5,6],[4,7,8,9,10]]=>[[1,2,3,4,7],[5,6,8,9,10]]=>[[1,3,4,5,8],[2,6,7,9,10]]=>100010010 [[1,2,3,4,9],[5,6,7,8,10]]=>[[1,3,4,5,6],[2,7,8,9,10]]=>[[1,2,5,6,7],[3,4,8,9,10]]=>010000100 [[1,2,3,4,8],[5,6,7,9,10]]=>[[1,2,4,5,6],[3,7,8,9,10]]=>[[1,3,5,6,7],[2,4,8,9,10]]=>101000100 [[1,2,3,4,7],[5,6,8,9,10]]=>[[1,2,3,5,6],[4,7,8,9,10]]=>[[1,3,4,6,7],[2,5,8,9,10]]=>100100100 [[1,2,3,4,6],[5,7,8,9,10]]=>[[1,2,3,4,6],[5,7,8,9,10]]=>[[1,3,4,5,7],[2,6,8,9,10]]=>100010100 [[1,2,3,4,5],[6,7,8,9,10]]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[[1,3,4,5,6],[2,7,8,9,10]]=>100001000 [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>01010101010 [[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>00100101010 [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>01001001010 [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>00101001010 [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>00010001010 [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>01010010010 [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>00100010010 [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>01001010010 [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>00101010010 [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>00010010010 [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>01000100010 [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>00100100010 [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>00010100010 [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>00001000010 [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>01010100100 [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>00100100100 [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>01001000100 [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>00101000100 [[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>00010000100 [[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>01010010100 [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>00100010100 [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>01001010100 [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[[1,2,3,5,7,9],[4,6,8,10,11,12]]=>00101010100 [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>00010010100 [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>01000100100 [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[[1,2,3,5,6,9],[4,7,8,10,11,12]]=>00100100100 [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>00010100100 [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>00001000100 [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>01010001000 [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>00100001000 [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>01001001000 [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[[1,2,3,5,7,8],[4,6,9,10,11,12]]=>00101001000 [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[[1,2,3,4,7,8],[5,6,9,10,11,12]]=>00010001000 [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>01000101000 [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[[1,2,3,5,6,8],[4,7,9,10,11,12]]=>00100101000 [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[[1,2,3,4,6,8],[5,7,9,10,11,12]]=>00010101000 [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>00001001000 [[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>01000010000 [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>00100010000 [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[[1,2,3,4,6,7],[5,8,9,10,11,12]]=>00010010000 [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[[1,2,3,4,5,7],[6,8,9,10,11,12]]=>00001010000 [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>00000100000 [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>01010101001 [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>00100101001 [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>01001001001 [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>00101001001 [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>00010001001 [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>01010010001 [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>00100010001 [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>01001010001 [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>00101010001 [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>00010010001 [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>01000100001 [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>00100100001 [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[[1,2,3,4,6,11],[5,7,8,9,10,12]]=>00010100001 [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>00001000001 [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>01010100101 [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>00100100101 [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>01001000101 [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>00101000101 [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>00010000101 [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>01010010101 [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>00100010101 [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>01001010101 [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>10101010101 [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>10010010101 [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>01000100101 [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>10100100101 [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>10010100101 [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>10001000101 [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>01010001001 [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>00100001001 [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>01001001001 [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>10101001001 [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>10010001001 [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>01000101001 [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>10100101001 [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>10010101001 [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>10001001001 [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>01000010001 [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>10100010001 [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>10010010001 [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>10001010001 [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>10000100001 [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>01010100010 [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>00100100010 [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>01001000010 [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>00101000010 [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>00010000010 [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>01010010010 [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>00100010010 [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>01001010010 [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>10101010010 [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>10010010010 [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>01000100010 [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>10100100010 [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>10010100010 [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>10001000010 [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>01010001010 [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>00100001010 [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>01001001010 [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>10101001010 [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>10010001010 [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>01000101010 [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>10100101010 [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>10010101010 [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>10001001010 [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>01000010010 [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>10100010010 [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>10010010010 [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>10001010010 [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>10000100010 [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>01010000100 [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>00100000100 [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>01001000100 [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>10101000100 [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>10010000100 [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>01000100100 [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>10100100100 [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>10010100100 [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>10001000100 [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>01000010100 [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>10100010100 [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>10010010100 [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>10001010100 [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>10000100100 [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>01000001000 [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>10100001000 [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>10010001000 [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>10001001000 [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>10000101000 [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>10000010000 [[1,2,3,4,5,6,7,8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>00000000 [[1,2,3,4,5],[6,7,8,9]]=>[[1,2,3,4,9],[5,6,7,8]]=>[[1,2,3,4,5],[6,7,8,9]]=>00001000 [[1,2,3],[4,5],[6,7],[8,9]]=>[[1,2,9],[3,4],[5,6],[7,8]]=>[[1,2,3],[4,5],[6,7],[8,9]]=>00101010 [[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>01010101 [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>01111111 [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>11111111 [[1,2,3,4,5,6,7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>000000000 [[1,2,3,4],[5,6,7],[8,9,10]]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>000100100 [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[[1,3],[2,5],[4,7],[6,9],[8,10]]=>101010101 [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>011111111 [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>111111111 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>10101010101 [[1,3,4,5,6,7,8,9],[2]]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [[1,3,4,5],[2,7,8,9],[6]]=>[[1,2,3,4],[5,6,7,8],[9]]=>[[1,3,4,5],[2,7,8,9],[6]]=>10001000 [[1,3],[2,5],[4,7],[6,9],[8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>10101010 [[1,3,4,5,6,7,8,9,10],[2]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [[1,3,4],[2,6,7],[5,9,10],[8]]=>[[1,2,3],[4,5,6],[7,8,9],[10]]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>100100100 [[1,6],[2,7],[3,8],[4,9],[5]]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>11110111 [[1,4,6,8],[2,5,7,9],[3]]=>[[1,3,5,7],[2,4,6,8],[9]]=>[[1,4,6,8],[2,5,7,9],[3]]=>11010101 [[1,3,5,7,9],[2,4,6,8]]=>[[1,2,4,6,8],[3,5,7,9]]=>[[1,3,5,7,9],[2,4,6,8]]=>10101010 [[1,6],[2,7],[3,8],[4,9],[5,10]]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[[1,2],[3,7],[4,8],[5,9],[6,10]]=>011110111 [[1,5,8],[2,6,9],[3,7,10],[4]]=>[[1,4,7],[2,5,8],[3,6,9],[10]]=>[[1,5,8],[2,6,9],[3,7,10],[4]]=>111011011 [[1,2,6],[3,7],[4,8],[5,9]]=>[[1,5,9],[2,6],[3,7],[4,8]]=>[[1,2,6],[3,7],[4,8],[5,9]]=>01110111 [[1,2,4,6,8],[3,5,7,9]]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2,4,6,8],[3,5,7,9]]=>01010101 [[1,2,5,8],[3,6,9],[4,7,10]]=>[[1,4,7,10],[2,5,8],[3,6,9]]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>011011011 [[1,2],[3,4],[5,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]=>[[1,4],[2,5],[3,7],[6,9],[8,10]]=>110110101 [[1,2],[3,4],[5,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,6],[7,8],[9,10]]=>[[1,3],[2,6],[4,7],[5,9],[8,10]]=>101101101 [[1,2],[3,4],[5,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,6],[7,8],[9,10]]=>[[1,4],[2,6],[3,7],[5,9],[8,10]]=>110101101 [[1,2],[3,4],[5,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,6],[7,8],[9,10]]=>[[1,5],[2,6],[3,7],[4,9],[8,10]]=>111011101 [[1,2],[3,5],[4,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,7],[6,8],[9,10]]=>[[1,3],[2,5],[4,8],[6,9],[7,10]]=>101011011 [[1,2],[3,5],[4,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,7],[6,8],[9,10]]=>[[1,4],[2,5],[3,8],[6,9],[7,10]]=>110111011 [[1,2],[3,5],[4,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,7],[6,8],[9,10]]=>[[1,3],[2,6],[4,8],[5,9],[7,10]]=>101101011 [[1,2],[3,5],[4,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,7],[6,8],[9,10]]=>[[1,4],[2,6],[3,8],[5,9],[7,10]]=>110101011 [[1,2],[3,5],[4,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,7],[6,8],[9,10]]=>[[1,5],[2,6],[3,8],[4,9],[7,10]]=>111011011 [[1,2],[3,6],[4,7],[5,8],[9,10]]=>[[1,2],[3,6],[4,7],[5,8],[9,10]]=>[[1,3],[2,7],[4,8],[5,9],[6,10]]=>101110111 [[1,2],[3,6],[4,7],[5,9],[8,10]]=>[[1,3],[2,6],[4,7],[5,8],[9,10]]=>[[1,4],[2,7],[3,8],[5,9],[6,10]]=>110110111 [[1,2],[3,6],[4,8],[5,9],[7,10]]=>[[1,4],[2,6],[3,7],[5,8],[9,10]]=>[[1,5],[2,7],[3,8],[4,9],[6,10]]=>111010111 [[1,2],[3,7],[4,8],[5,9],[6,10]]=>[[1,5],[2,6],[3,7],[4,8],[9,10]]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>111101111 [[1,3],[2,4],[5,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,6],[7,9],[8,10]]=>[[1,3],[2,5],[4,7],[6,8],[9,10]]=>101010110 [[1,3],[2,4],[5,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,6],[7,9],[8,10]]=>[[1,4],[2,5],[3,7],[6,8],[9,10]]=>110110110 [[1,3],[2,4],[5,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,6],[7,9],[8,10]]=>[[1,3],[2,6],[4,7],[5,8],[9,10]]=>101101110 [[1,3],[2,4],[5,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,6],[7,9],[8,10]]=>[[1,4],[2,6],[3,7],[5,8],[9,10]]=>110101110 [[1,3],[2,4],[5,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,6],[7,9],[8,10]]=>[[1,5],[2,6],[3,7],[4,8],[9,10]]=>111011110 [[1,3],[2,5],[4,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,6],[7,8],[9,10]]=>101011010 [[1,3],[2,5],[4,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,7],[6,9],[8,10]]=>[[1,4],[2,5],[3,6],[7,8],[9,10]]=>110111010 [[1,3],[2,5],[4,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,7],[6,9],[8,10]]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]=>101101010 [[1,3],[2,5],[4,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,7],[6,9],[8,10]]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>010101010 [[1,3],[2,5],[4,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,7],[6,9],[8,10]]=>[[1,2],[3,5],[4,6],[7,8],[9,10]]=>011011010 [[1,3],[2,6],[4,7],[5,8],[9,10]]=>[[1,2],[3,6],[4,7],[5,9],[8,10]]=>[[1,3],[2,4],[5,7],[6,8],[9,10]]=>101110110 [[1,3],[2,6],[4,7],[5,9],[8,10]]=>[[1,3],[2,6],[4,7],[5,9],[8,10]]=>[[1,2],[3,4],[5,7],[6,8],[9,10]]=>010110110 [[1,3],[2,6],[4,8],[5,9],[7,10]]=>[[1,4],[2,6],[3,7],[5,9],[8,10]]=>[[1,2],[3,5],[4,7],[6,8],[9,10]]=>011010110 [[1,3],[2,7],[4,8],[5,9],[6,10]]=>[[1,5],[2,6],[3,7],[4,9],[8,10]]=>[[1,2],[3,6],[4,7],[5,8],[9,10]]=>011101110 [[1,4],[2,5],[3,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,8],[6,9],[7,10]]=>[[1,3],[2,5],[4,6],[7,9],[8,10]]=>101011101 [[1,4],[2,5],[3,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,6],[7,9],[8,10]]=>110111101 [[1,4],[2,5],[3,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,8],[6,9],[7,10]]=>[[1,3],[2,4],[5,6],[7,9],[8,10]]=>101101101 [[1,4],[2,5],[3,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,8],[6,9],[7,10]]=>[[1,2],[3,4],[5,6],[7,9],[8,10]]=>010101101 [[1,4],[2,5],[3,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,8],[6,9],[7,10]]=>[[1,2],[3,5],[4,6],[7,9],[8,10]]=>011011101 [[1,4],[2,6],[3,7],[5,8],[9,10]]=>[[1,2],[3,6],[4,8],[5,9],[7,10]]=>[[1,3],[2,4],[5,7],[6,9],[8,10]]=>101110101 [[1,4],[2,6],[3,7],[5,9],[8,10]]=>[[1,3],[2,6],[4,8],[5,9],[7,10]]=>[[1,2],[3,4],[5,7],[6,9],[8,10]]=>010110101 [[1,4],[2,6],[3,8],[5,9],[7,10]]=>[[1,4],[2,6],[3,8],[5,9],[7,10]]=>[[1,2],[3,5],[4,7],[6,9],[8,10]]=>011010101 [[1,4],[2,7],[3,8],[5,9],[6,10]]=>[[1,5],[2,6],[3,8],[4,9],[7,10]]=>[[1,2],[3,6],[4,7],[5,9],[8,10]]=>011101101 [[1,5],[2,6],[3,7],[4,8],[9,10]]=>[[1,2],[3,7],[4,8],[5,9],[6,10]]=>[[1,3],[2,4],[5,8],[6,9],[7,10]]=>101111011 [[1,5],[2,6],[3,7],[4,9],[8,10]]=>[[1,3],[2,7],[4,8],[5,9],[6,10]]=>[[1,2],[3,4],[5,8],[6,9],[7,10]]=>010111011 [[1,5],[2,6],[3,8],[4,9],[7,10]]=>[[1,4],[2,7],[3,8],[5,9],[6,10]]=>[[1,2],[3,5],[4,8],[6,9],[7,10]]=>011011011 [[1,5],[2,7],[3,8],[4,9],[6,10]]=>[[1,5],[2,7],[3,8],[4,9],[6,10]]=>[[1,2],[3,6],[4,8],[5,9],[7,10]]=>011101011 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>11011010101 [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>10110110101 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>11010110101 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>11101110101 [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>10101101101 [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>11011101101 [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>10110101101 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>11010101101 [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>11101101101 [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>10111011101 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>11011011101 [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>11101011101 [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>11110111101 [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>10101011011 [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>11011011011 [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>10110111011 [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>11010111011 [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>11101111011 [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>10101101011 [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>11011101011 [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>10110101011 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>11010101011 [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>11101101011 [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>10111011011 [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>11011011011 [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>11101011011 [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>11110111011 [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>10101110111 [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>11011110111 [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>10110110111 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>11010110111 [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>11101110111 [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>10111010111 [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>11011010111 [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>11101010111 [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>11110110111 [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>10111101111 [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>11011101111 [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>11101101111 [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>11110101111 [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>11111011111 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>10101010110 [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>11011010110 [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>10110110110 [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>11010110110 [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>11101110110 [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>10101101110 [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>11011101110 [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>10110101110 [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>11010101110 [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>11101101110 [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>10111011110 [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>11011011110 [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>11101011110 [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>11110111110 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>10101011010 [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>11011011010 [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>10110111010 [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>11010111010 [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>11101111010 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>10101101010 [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>11011101010 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>10110101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>01010101010 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>01101101010 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>10111011010 [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>01011011010 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>01101011010 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>01110111010 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>10101110110 [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>11011110110 [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>10110110110 [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>01010110110 [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>01101110110 [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>10111010110 [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>01011010110 [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>01101010110 [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>01110110110 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>10111101110 [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>01011101110 [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>01101101110 [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>01110101110 [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>01111011110 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>10101011101 [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>11011011101 [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>10110111101 [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>11010111101 [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>11101111101 [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>10101101101 [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>11011101101 [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>10110101101 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>01010101101 [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>01101101101 [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>10111011101 [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>01011011101 [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>01101011101 [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>01110111101 [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>10101110101 [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>11011110101 [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>10110110101 [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>01010110101 [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>01101110101 [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>10111010101 [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>01011010101 [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>01101010101 [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>01110110101 [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>10111101101 [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>01011101101 [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>01101101101 [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>01110101101 [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>01111011101 [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>10101111011 [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>11011111011 [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>10110111011 [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>01010111011 [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>01101111011 [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>10111011011 [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>01011011011 [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>01101011011 [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>01110111011 [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>10111101011 [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>01011101011 [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>01101101011 [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>01110101011 [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>01111011011 [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>10111110111 [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>01011110111 [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>01101110111 [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>01110110111 [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>01111010111 [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>01111101111
Map
Schützenberger involution
Description
Sends a standard tableau to the standard tableau obtained via the Schützenberger involution.
Map
promotion
Description
The promotion of a standard Young tableau.
This map replaces the largest entry of the tableau with a zero, uses the jeu de taquin to move it to the origin, and finally increases all entries by one.
Map
descent word
Description
The descent word of a standard Young tableau.
For a standard Young tableau of size $n$ we set $w_i=1$ if $i+1$ is in a lower row than $i$, and $0$ otherwise, for $1\leq i < n$.