=>

[[1]]=>=>=> [[1,2]]=>0=>0=>1 [[1],[2]]=>1=>1=>0 [[1,2,3]]=>00=>00=>11 [[1,3],[2]]=>10=>01=>10 [[1,2],[3]]=>01=>10=>01 [[1],[2],[3]]=>11=>11=>00 [[1,2,3,4]]=>000=>000=>111 [[1,3,4],[2]]=>100=>001=>110 [[1,2,4],[3]]=>010=>010=>101 [[1,2,3],[4]]=>001=>100=>011 [[1,3],[2,4]]=>101=>101=>010 [[1,2],[3,4]]=>010=>010=>101 [[1,4],[2],[3]]=>110=>011=>100 [[1,3],[2],[4]]=>101=>101=>010 [[1,2],[3],[4]]=>011=>110=>001 [[1],[2],[3],[4]]=>111=>111=>000 [[1,2,3,4,5]]=>0000=>0000=>1111 [[1,3,4,5],[2]]=>1000=>0001=>1110 [[1,2,4,5],[3]]=>0100=>0010=>1101 [[1,2,3,5],[4]]=>0010=>0100=>1011 [[1,2,3,4],[5]]=>0001=>1000=>0111 [[1,3,5],[2,4]]=>1010=>0101=>1010 [[1,2,5],[3,4]]=>0100=>0010=>1101 [[1,3,4],[2,5]]=>1001=>1001=>0110 [[1,2,4],[3,5]]=>0101=>1010=>0101 [[1,2,3],[4,5]]=>0010=>0100=>1011 [[1,4,5],[2],[3]]=>1100=>0011=>1100 [[1,3,5],[2],[4]]=>1010=>0101=>1010 [[1,2,5],[3],[4]]=>0110=>0110=>1001 [[1,3,4],[2],[5]]=>1001=>1001=>0110 [[1,2,4],[3],[5]]=>0101=>1010=>0101 [[1,2,3],[4],[5]]=>0011=>1100=>0011 [[1,4],[2,5],[3]]=>1101=>1011=>0100 [[1,3],[2,5],[4]]=>1010=>0101=>1010 [[1,2],[3,5],[4]]=>0110=>0110=>1001 [[1,3],[2,4],[5]]=>1011=>1101=>0010 [[1,2],[3,4],[5]]=>0101=>1010=>0101 [[1,5],[2],[3],[4]]=>1110=>0111=>1000 [[1,4],[2],[3],[5]]=>1101=>1011=>0100 [[1,3],[2],[4],[5]]=>1011=>1101=>0010 [[1,2],[3],[4],[5]]=>0111=>1110=>0001 [[1],[2],[3],[4],[5]]=>1111=>1111=>0000 [[1,2,3,4,5,6]]=>00000=>00000=>11111 [[1,3,4,5,6],[2]]=>10000=>00001=>11110 [[1,2,4,5,6],[3]]=>01000=>00010=>11101 [[1,2,3,5,6],[4]]=>00100=>00100=>11011 [[1,2,3,4,6],[5]]=>00010=>01000=>10111 [[1,2,3,4,5],[6]]=>00001=>10000=>01111 [[1,3,5,6],[2,4]]=>10100=>00101=>11010 [[1,2,5,6],[3,4]]=>01000=>00010=>11101 [[1,3,4,6],[2,5]]=>10010=>01001=>10110 [[1,2,4,6],[3,5]]=>01010=>01010=>10101 [[1,2,3,6],[4,5]]=>00100=>00100=>11011 [[1,3,4,5],[2,6]]=>10001=>10001=>01110 [[1,2,4,5],[3,6]]=>01001=>10010=>01101 [[1,2,3,5],[4,6]]=>00101=>10100=>01011 [[1,2,3,4],[5,6]]=>00010=>01000=>10111 [[1,4,5,6],[2],[3]]=>11000=>00011=>11100 [[1,3,5,6],[2],[4]]=>10100=>00101=>11010 [[1,2,5,6],[3],[4]]=>01100=>00110=>11001 [[1,3,4,6],[2],[5]]=>10010=>01001=>10110 [[1,2,4,6],[3],[5]]=>01010=>01010=>10101 [[1,2,3,6],[4],[5]]=>00110=>01100=>10011 [[1,3,4,5],[2],[6]]=>10001=>10001=>01110 [[1,2,4,5],[3],[6]]=>01001=>10010=>01101 [[1,2,3,5],[4],[6]]=>00101=>10100=>01011 [[1,2,3,4],[5],[6]]=>00011=>11000=>00111 [[1,3,5],[2,4,6]]=>10101=>10101=>01010 [[1,2,5],[3,4,6]]=>01001=>10010=>01101 [[1,3,4],[2,5,6]]=>10010=>01001=>10110 [[1,2,4],[3,5,6]]=>01010=>01010=>10101 [[1,2,3],[4,5,6]]=>00100=>00100=>11011 [[1,4,6],[2,5],[3]]=>11010=>01011=>10100 [[1,3,6],[2,5],[4]]=>10100=>00101=>11010 [[1,2,6],[3,5],[4]]=>01100=>00110=>11001 [[1,3,6],[2,4],[5]]=>10110=>01101=>10010 [[1,2,6],[3,4],[5]]=>01010=>01010=>10101 [[1,4,5],[2,6],[3]]=>11001=>10011=>01100 [[1,3,5],[2,6],[4]]=>10101=>10101=>01010 [[1,2,5],[3,6],[4]]=>01101=>10110=>01001 [[1,3,4],[2,6],[5]]=>10010=>01001=>10110 [[1,2,4],[3,6],[5]]=>01010=>01010=>10101 [[1,2,3],[4,6],[5]]=>00110=>01100=>10011 [[1,3,5],[2,4],[6]]=>10101=>10101=>01010 [[1,2,5],[3,4],[6]]=>01001=>10010=>01101 [[1,3,4],[2,5],[6]]=>10011=>11001=>00110 [[1,2,4],[3,5],[6]]=>01011=>11010=>00101 [[1,2,3],[4,5],[6]]=>00101=>10100=>01011 [[1,5,6],[2],[3],[4]]=>11100=>00111=>11000 [[1,4,6],[2],[3],[5]]=>11010=>01011=>10100 [[1,3,6],[2],[4],[5]]=>10110=>01101=>10010 [[1,2,6],[3],[4],[5]]=>01110=>01110=>10001 [[1,4,5],[2],[3],[6]]=>11001=>10011=>01100 [[1,3,5],[2],[4],[6]]=>10101=>10101=>01010 [[1,2,5],[3],[4],[6]]=>01101=>10110=>01001 [[1,3,4],[2],[5],[6]]=>10011=>11001=>00110 [[1,2,4],[3],[5],[6]]=>01011=>11010=>00101 [[1,2,3],[4],[5],[6]]=>00111=>11100=>00011 [[1,4],[2,5],[3,6]]=>11011=>11011=>00100 [[1,3],[2,5],[4,6]]=>10101=>10101=>01010 [[1,2],[3,5],[4,6]]=>01101=>10110=>01001 [[1,3],[2,4],[5,6]]=>10110=>01101=>10010 [[1,2],[3,4],[5,6]]=>01010=>01010=>10101 [[1,5],[2,6],[3],[4]]=>11101=>10111=>01000 [[1,4],[2,6],[3],[5]]=>11010=>01011=>10100 [[1,3],[2,6],[4],[5]]=>10110=>01101=>10010 [[1,2],[3,6],[4],[5]]=>01110=>01110=>10001 [[1,4],[2,5],[3],[6]]=>11011=>11011=>00100 [[1,3],[2,5],[4],[6]]=>10101=>10101=>01010 [[1,2],[3,5],[4],[6]]=>01101=>10110=>01001 [[1,3],[2,4],[5],[6]]=>10111=>11101=>00010 [[1,2],[3,4],[5],[6]]=>01011=>11010=>00101 [[1,6],[2],[3],[4],[5]]=>11110=>01111=>10000 [[1,5],[2],[3],[4],[6]]=>11101=>10111=>01000 [[1,4],[2],[3],[5],[6]]=>11011=>11011=>00100 [[1,3],[2],[4],[5],[6]]=>10111=>11101=>00010 [[1,2],[3],[4],[5],[6]]=>01111=>11110=>00001 [[1],[2],[3],[4],[5],[6]]=>11111=>11111=>00000 [[1,2,3,4,5,6,7]]=>000000=>000000=>111111 [[1,3,4,5,6,7],[2]]=>100000=>000001=>111110 [[1,2,4,5,6,7],[3]]=>010000=>000010=>111101 [[1,2,3,5,6,7],[4]]=>001000=>000100=>111011 [[1,2,3,4,6,7],[5]]=>000100=>001000=>110111 [[1,2,3,4,5,7],[6]]=>000010=>010000=>101111 [[1,2,3,4,5,6],[7]]=>000001=>100000=>011111 [[1,3,5,6,7],[2,4]]=>101000=>000101=>111010 [[1,2,5,6,7],[3,4]]=>010000=>000010=>111101 [[1,3,4,6,7],[2,5]]=>100100=>001001=>110110 [[1,2,4,6,7],[3,5]]=>010100=>001010=>110101 [[1,2,3,6,7],[4,5]]=>001000=>000100=>111011 [[1,3,4,5,7],[2,6]]=>100010=>010001=>101110 [[1,2,4,5,7],[3,6]]=>010010=>010010=>101101 [[1,2,3,5,7],[4,6]]=>001010=>010100=>101011 [[1,2,3,4,7],[5,6]]=>000100=>001000=>110111 [[1,3,4,5,6],[2,7]]=>100001=>100001=>011110 [[1,2,4,5,6],[3,7]]=>010001=>100010=>011101 [[1,2,3,5,6],[4,7]]=>001001=>100100=>011011 [[1,2,3,4,6],[5,7]]=>000101=>101000=>010111 [[1,2,3,4,5],[6,7]]=>000010=>010000=>101111 [[1,4,5,6,7],[2],[3]]=>110000=>000011=>111100 [[1,3,5,6,7],[2],[4]]=>101000=>000101=>111010 [[1,2,5,6,7],[3],[4]]=>011000=>000110=>111001 [[1,3,4,6,7],[2],[5]]=>100100=>001001=>110110 [[1,2,4,6,7],[3],[5]]=>010100=>001010=>110101 [[1,2,3,6,7],[4],[5]]=>001100=>001100=>110011 [[1,3,4,5,7],[2],[6]]=>100010=>010001=>101110 [[1,2,4,5,7],[3],[6]]=>010010=>010010=>101101 [[1,2,3,5,7],[4],[6]]=>001010=>010100=>101011 [[1,2,3,4,7],[5],[6]]=>000110=>011000=>100111 [[1,3,4,5,6],[2],[7]]=>100001=>100001=>011110 [[1,2,4,5,6],[3],[7]]=>010001=>100010=>011101 [[1,2,3,5,6],[4],[7]]=>001001=>100100=>011011 [[1,2,3,4,6],[5],[7]]=>000101=>101000=>010111 [[1,2,3,4,5],[6],[7]]=>000011=>110000=>001111 [[1,3,5,7],[2,4,6]]=>101010=>010101=>101010 [[1,2,5,7],[3,4,6]]=>010010=>010010=>101101 [[1,3,4,7],[2,5,6]]=>100100=>001001=>110110 [[1,2,4,7],[3,5,6]]=>010100=>001010=>110101 [[1,2,3,7],[4,5,6]]=>001000=>000100=>111011 [[1,3,5,6],[2,4,7]]=>101001=>100101=>011010 [[1,2,5,6],[3,4,7]]=>010001=>100010=>011101 [[1,3,4,6],[2,5,7]]=>100101=>101001=>010110 [[1,2,4,6],[3,5,7]]=>010101=>101010=>010101 [[1,2,3,6],[4,5,7]]=>001001=>100100=>011011 [[1,3,4,5],[2,6,7]]=>100010=>010001=>101110 [[1,2,4,5],[3,6,7]]=>010010=>010010=>101101 [[1,2,3,5],[4,6,7]]=>001010=>010100=>101011 [[1,2,3,4],[5,6,7]]=>000100=>001000=>110111 [[1,4,6,7],[2,5],[3]]=>110100=>001011=>110100 [[1,3,6,7],[2,5],[4]]=>101000=>000101=>111010 [[1,2,6,7],[3,5],[4]]=>011000=>000110=>111001 [[1,3,6,7],[2,4],[5]]=>101100=>001101=>110010 [[1,2,6,7],[3,4],[5]]=>010100=>001010=>110101 [[1,4,5,7],[2,6],[3]]=>110010=>010011=>101100 [[1,3,5,7],[2,6],[4]]=>101010=>010101=>101010 [[1,2,5,7],[3,6],[4]]=>011010=>010110=>101001 [[1,3,4,7],[2,6],[5]]=>100100=>001001=>110110 [[1,2,4,7],[3,6],[5]]=>010100=>001010=>110101 [[1,2,3,7],[4,6],[5]]=>001100=>001100=>110011 [[1,3,5,7],[2,4],[6]]=>101010=>010101=>101010 [[1,2,5,7],[3,4],[6]]=>010010=>010010=>101101 [[1,3,4,7],[2,5],[6]]=>100110=>011001=>100110 [[1,2,4,7],[3,5],[6]]=>010110=>011010=>100101 [[1,2,3,7],[4,5],[6]]=>001010=>010100=>101011 [[1,4,5,6],[2,7],[3]]=>110001=>100011=>011100 [[1,3,5,6],[2,7],[4]]=>101001=>100101=>011010 [[1,2,5,6],[3,7],[4]]=>011001=>100110=>011001 [[1,3,4,6],[2,7],[5]]=>100101=>101001=>010110 [[1,2,4,6],[3,7],[5]]=>010101=>101010=>010101 [[1,2,3,6],[4,7],[5]]=>001101=>101100=>010011 [[1,3,4,5],[2,7],[6]]=>100010=>010001=>101110 [[1,2,4,5],[3,7],[6]]=>010010=>010010=>101101 [[1,2,3,5],[4,7],[6]]=>001010=>010100=>101011 [[1,2,3,4],[5,7],[6]]=>000110=>011000=>100111 [[1,3,5,6],[2,4],[7]]=>101001=>100101=>011010 [[1,2,5,6],[3,4],[7]]=>010001=>100010=>011101 [[1,3,4,6],[2,5],[7]]=>100101=>101001=>010110 [[1,2,4,6],[3,5],[7]]=>010101=>101010=>010101 [[1,2,3,6],[4,5],[7]]=>001001=>100100=>011011 [[1,3,4,5],[2,6],[7]]=>100011=>110001=>001110 [[1,2,4,5],[3,6],[7]]=>010011=>110010=>001101 [[1,2,3,5],[4,6],[7]]=>001011=>110100=>001011 [[1,2,3,4],[5,6],[7]]=>000101=>101000=>010111 [[1,5,6,7],[2],[3],[4]]=>111000=>000111=>111000 [[1,4,6,7],[2],[3],[5]]=>110100=>001011=>110100 [[1,3,6,7],[2],[4],[5]]=>101100=>001101=>110010 [[1,2,6,7],[3],[4],[5]]=>011100=>001110=>110001 [[1,4,5,7],[2],[3],[6]]=>110010=>010011=>101100 [[1,3,5,7],[2],[4],[6]]=>101010=>010101=>101010 [[1,2,5,7],[3],[4],[6]]=>011010=>010110=>101001 [[1,3,4,7],[2],[5],[6]]=>100110=>011001=>100110 [[1,2,4,7],[3],[5],[6]]=>010110=>011010=>100101 [[1,2,3,7],[4],[5],[6]]=>001110=>011100=>100011 [[1,4,5,6],[2],[3],[7]]=>110001=>100011=>011100 [[1,3,5,6],[2],[4],[7]]=>101001=>100101=>011010 [[1,2,5,6],[3],[4],[7]]=>011001=>100110=>011001 [[1,3,4,6],[2],[5],[7]]=>100101=>101001=>010110 [[1,2,4,6],[3],[5],[7]]=>010101=>101010=>010101 [[1,2,3,6],[4],[5],[7]]=>001101=>101100=>010011 [[1,3,4,5],[2],[6],[7]]=>100011=>110001=>001110 [[1,2,4,5],[3],[6],[7]]=>010011=>110010=>001101 [[1,2,3,5],[4],[6],[7]]=>001011=>110100=>001011 [[1,2,3,4],[5],[6],[7]]=>000111=>111000=>000111 [[1,4,6],[2,5,7],[3]]=>110101=>101011=>010100 [[1,3,6],[2,5,7],[4]]=>101001=>100101=>011010 [[1,2,6],[3,5,7],[4]]=>011001=>100110=>011001 [[1,3,6],[2,4,7],[5]]=>101101=>101101=>010010 [[1,2,6],[3,4,7],[5]]=>010101=>101010=>010101 [[1,4,5],[2,6,7],[3]]=>110010=>010011=>101100 [[1,3,5],[2,6,7],[4]]=>101010=>010101=>101010 [[1,2,5],[3,6,7],[4]]=>011010=>010110=>101001 [[1,3,4],[2,6,7],[5]]=>100100=>001001=>110110 [[1,2,4],[3,6,7],[5]]=>010100=>001010=>110101 [[1,2,3],[4,6,7],[5]]=>001100=>001100=>110011 [[1,3,5],[2,4,7],[6]]=>101010=>010101=>101010 [[1,2,5],[3,4,7],[6]]=>010010=>010010=>101101 [[1,3,4],[2,5,7],[6]]=>100110=>011001=>100110 [[1,2,4],[3,5,7],[6]]=>010110=>011010=>100101 [[1,2,3],[4,5,7],[6]]=>001010=>010100=>101011 [[1,3,5],[2,4,6],[7]]=>101011=>110101=>001010 [[1,2,5],[3,4,6],[7]]=>010011=>110010=>001101 [[1,3,4],[2,5,6],[7]]=>100101=>101001=>010110 [[1,2,4],[3,5,6],[7]]=>010101=>101010=>010101 [[1,2,3],[4,5,6],[7]]=>001001=>100100=>011011 [[1,4,7],[2,5],[3,6]]=>110110=>011011=>100100 [[1,3,7],[2,5],[4,6]]=>101010=>010101=>101010 [[1,2,7],[3,5],[4,6]]=>011010=>010110=>101001 [[1,3,7],[2,4],[5,6]]=>101100=>001101=>110010 [[1,2,7],[3,4],[5,6]]=>010100=>001010=>110101 [[1,4,6],[2,5],[3,7]]=>110101=>101011=>010100 [[1,3,6],[2,5],[4,7]]=>101001=>100101=>011010 [[1,2,6],[3,5],[4,7]]=>011001=>100110=>011001 [[1,3,6],[2,4],[5,7]]=>101101=>101101=>010010 [[1,2,6],[3,4],[5,7]]=>010101=>101010=>010101 [[1,4,5],[2,6],[3,7]]=>110011=>110011=>001100 [[1,3,5],[2,6],[4,7]]=>101011=>110101=>001010 [[1,2,5],[3,6],[4,7]]=>011011=>110110=>001001 [[1,3,4],[2,6],[5,7]]=>100101=>101001=>010110 [[1,2,4],[3,6],[5,7]]=>010101=>101010=>010101 [[1,2,3],[4,6],[5,7]]=>001101=>101100=>010011 [[1,3,5],[2,4],[6,7]]=>101010=>010101=>101010 [[1,2,5],[3,4],[6,7]]=>010010=>010010=>101101 [[1,3,4],[2,5],[6,7]]=>100110=>011001=>100110 [[1,2,4],[3,5],[6,7]]=>010110=>011010=>100101 [[1,2,3],[4,5],[6,7]]=>001010=>010100=>101011 [[1,5,7],[2,6],[3],[4]]=>111010=>010111=>101000 [[1,4,7],[2,6],[3],[5]]=>110100=>001011=>110100 [[1,3,7],[2,6],[4],[5]]=>101100=>001101=>110010 [[1,2,7],[3,6],[4],[5]]=>011100=>001110=>110001 [[1,4,7],[2,5],[3],[6]]=>110110=>011011=>100100 [[1,3,7],[2,5],[4],[6]]=>101010=>010101=>101010 [[1,2,7],[3,5],[4],[6]]=>011010=>010110=>101001 [[1,3,7],[2,4],[5],[6]]=>101110=>011101=>100010 [[1,2,7],[3,4],[5],[6]]=>010110=>011010=>100101 [[1,5,6],[2,7],[3],[4]]=>111001=>100111=>011000 [[1,4,6],[2,7],[3],[5]]=>110101=>101011=>010100 [[1,3,6],[2,7],[4],[5]]=>101101=>101101=>010010 [[1,2,6],[3,7],[4],[5]]=>011101=>101110=>010001 [[1,4,5],[2,7],[3],[6]]=>110010=>010011=>101100 [[1,3,5],[2,7],[4],[6]]=>101010=>010101=>101010 [[1,2,5],[3,7],[4],[6]]=>011010=>010110=>101001 [[1,3,4],[2,7],[5],[6]]=>100110=>011001=>100110 [[1,2,4],[3,7],[5],[6]]=>010110=>011010=>100101 [[1,2,3],[4,7],[5],[6]]=>001110=>011100=>100011 [[1,4,6],[2,5],[3],[7]]=>110101=>101011=>010100 [[1,3,6],[2,5],[4],[7]]=>101001=>100101=>011010 [[1,2,6],[3,5],[4],[7]]=>011001=>100110=>011001 [[1,3,6],[2,4],[5],[7]]=>101101=>101101=>010010 [[1,2,6],[3,4],[5],[7]]=>010101=>101010=>010101 [[1,4,5],[2,6],[3],[7]]=>110011=>110011=>001100 [[1,3,5],[2,6],[4],[7]]=>101011=>110101=>001010 [[1,2,5],[3,6],[4],[7]]=>011011=>110110=>001001 [[1,3,4],[2,6],[5],[7]]=>100101=>101001=>010110 [[1,2,4],[3,6],[5],[7]]=>010101=>101010=>010101 [[1,2,3],[4,6],[5],[7]]=>001101=>101100=>010011 [[1,3,5],[2,4],[6],[7]]=>101011=>110101=>001010 [[1,2,5],[3,4],[6],[7]]=>010011=>110010=>001101 [[1,3,4],[2,5],[6],[7]]=>100111=>111001=>000110 [[1,2,4],[3,5],[6],[7]]=>010111=>111010=>000101 [[1,2,3],[4,5],[6],[7]]=>001011=>110100=>001011 [[1,6,7],[2],[3],[4],[5]]=>111100=>001111=>110000 [[1,5,7],[2],[3],[4],[6]]=>111010=>010111=>101000 [[1,4,7],[2],[3],[5],[6]]=>110110=>011011=>100100 [[1,3,7],[2],[4],[5],[6]]=>101110=>011101=>100010 [[1,2,7],[3],[4],[5],[6]]=>011110=>011110=>100001 [[1,5,6],[2],[3],[4],[7]]=>111001=>100111=>011000 [[1,4,6],[2],[3],[5],[7]]=>110101=>101011=>010100 [[1,3,6],[2],[4],[5],[7]]=>101101=>101101=>010010 [[1,2,6],[3],[4],[5],[7]]=>011101=>101110=>010001 [[1,4,5],[2],[3],[6],[7]]=>110011=>110011=>001100 [[1,3,5],[2],[4],[6],[7]]=>101011=>110101=>001010 [[1,2,5],[3],[4],[6],[7]]=>011011=>110110=>001001 [[1,3,4],[2],[5],[6],[7]]=>100111=>111001=>000110 [[1,2,4],[3],[5],[6],[7]]=>010111=>111010=>000101 [[1,2,3],[4],[5],[6],[7]]=>001111=>111100=>000011 [[1,5],[2,6],[3,7],[4]]=>111011=>110111=>001000 [[1,4],[2,6],[3,7],[5]]=>110101=>101011=>010100 [[1,3],[2,6],[4,7],[5]]=>101101=>101101=>010010 [[1,2],[3,6],[4,7],[5]]=>011101=>101110=>010001 [[1,4],[2,5],[3,7],[6]]=>110110=>011011=>100100 [[1,3],[2,5],[4,7],[6]]=>101010=>010101=>101010 [[1,2],[3,5],[4,7],[6]]=>011010=>010110=>101001 [[1,3],[2,4],[5,7],[6]]=>101110=>011101=>100010 [[1,2],[3,4],[5,7],[6]]=>010110=>011010=>100101 [[1,4],[2,5],[3,6],[7]]=>110111=>111011=>000100 [[1,3],[2,5],[4,6],[7]]=>101011=>110101=>001010 [[1,2],[3,5],[4,6],[7]]=>011011=>110110=>001001 [[1,3],[2,4],[5,6],[7]]=>101101=>101101=>010010 [[1,2],[3,4],[5,6],[7]]=>010101=>101010=>010101 [[1,6],[2,7],[3],[4],[5]]=>111101=>101111=>010000 [[1,5],[2,7],[3],[4],[6]]=>111010=>010111=>101000 [[1,4],[2,7],[3],[5],[6]]=>110110=>011011=>100100 [[1,3],[2,7],[4],[5],[6]]=>101110=>011101=>100010 [[1,2],[3,7],[4],[5],[6]]=>011110=>011110=>100001 [[1,5],[2,6],[3],[4],[7]]=>111011=>110111=>001000 [[1,4],[2,6],[3],[5],[7]]=>110101=>101011=>010100 [[1,3],[2,6],[4],[5],[7]]=>101101=>101101=>010010 [[1,2],[3,6],[4],[5],[7]]=>011101=>101110=>010001 [[1,4],[2,5],[3],[6],[7]]=>110111=>111011=>000100 [[1,3],[2,5],[4],[6],[7]]=>101011=>110101=>001010 [[1,2],[3,5],[4],[6],[7]]=>011011=>110110=>001001 [[1,3],[2,4],[5],[6],[7]]=>101111=>111101=>000010 [[1,2],[3,4],[5],[6],[7]]=>010111=>111010=>000101 [[1,7],[2],[3],[4],[5],[6]]=>111110=>011111=>100000 [[1,6],[2],[3],[4],[5],[7]]=>111101=>101111=>010000 [[1,5],[2],[3],[4],[6],[7]]=>111011=>110111=>001000 [[1,4],[2],[3],[5],[6],[7]]=>110111=>111011=>000100 [[1,3],[2],[4],[5],[6],[7]]=>101111=>111101=>000010 [[1,2],[3],[4],[5],[6],[7]]=>011111=>111110=>000001 [[1],[2],[3],[4],[5],[6],[7]]=>111111=>111111=>000000 [[1,2,3,4,5,6,7,8]]=>0000000=>0000000=>1111111 [[1,3,4,5,6,7,8],[2]]=>1000000=>0000001=>1111110 [[1,2,4,5,6,7,8],[3]]=>0100000=>0000010=>1111101 [[1,2,3,5,6,7,8],[4]]=>0010000=>0000100=>1111011 [[1,2,3,4,6,7,8],[5]]=>0001000=>0001000=>1110111 [[1,2,3,4,5,7,8],[6]]=>0000100=>0010000=>1101111 [[1,2,3,4,5,6,8],[7]]=>0000010=>0100000=>1011111 [[1,2,3,4,5,6,7],[8]]=>0000001=>1000000=>0111111 [[1,3,5,6,7,8],[2,4]]=>1010000=>0000101=>1111010 [[1,2,5,6,7,8],[3,4]]=>0100000=>0000010=>1111101 [[1,3,4,6,7,8],[2,5]]=>1001000=>0001001=>1110110 [[1,2,4,6,7,8],[3,5]]=>0101000=>0001010=>1110101 [[1,2,3,6,7,8],[4,5]]=>0010000=>0000100=>1111011 [[1,3,4,5,7,8],[2,6]]=>1000100=>0010001=>1101110 [[1,2,4,5,7,8],[3,6]]=>0100100=>0010010=>1101101 [[1,2,3,5,7,8],[4,6]]=>0010100=>0010100=>1101011 [[1,2,3,4,7,8],[5,6]]=>0001000=>0001000=>1110111 [[1,3,4,5,6,8],[2,7]]=>1000010=>0100001=>1011110 [[1,2,4,5,6,8],[3,7]]=>0100010=>0100010=>1011101 [[1,2,3,5,6,8],[4,7]]=>0010010=>0100100=>1011011 [[1,2,3,4,6,8],[5,7]]=>0001010=>0101000=>1010111 [[1,2,3,4,5,8],[6,7]]=>0000100=>0010000=>1101111 [[1,3,4,5,6,7],[2,8]]=>1000001=>1000001=>0111110 [[1,2,4,5,6,7],[3,8]]=>0100001=>1000010=>0111101 [[1,2,3,5,6,7],[4,8]]=>0010001=>1000100=>0111011 [[1,2,3,4,6,7],[5,8]]=>0001001=>1001000=>0110111 [[1,2,3,4,5,7],[6,8]]=>0000101=>1010000=>0101111 [[1,2,3,4,5,6],[7,8]]=>0000010=>0100000=>1011111 [[1,4,5,6,7,8],[2],[3]]=>1100000=>0000011=>1111100 [[1,3,5,6,7,8],[2],[4]]=>1010000=>0000101=>1111010 [[1,2,5,6,7,8],[3],[4]]=>0110000=>0000110=>1111001 [[1,3,4,6,7,8],[2],[5]]=>1001000=>0001001=>1110110 [[1,2,4,6,7,8],[3],[5]]=>0101000=>0001010=>1110101 [[1,2,3,6,7,8],[4],[5]]=>0011000=>0001100=>1110011 [[1,3,4,5,7,8],[2],[6]]=>1000100=>0010001=>1101110 [[1,2,4,5,7,8],[3],[6]]=>0100100=>0010010=>1101101 [[1,2,3,5,7,8],[4],[6]]=>0010100=>0010100=>1101011 [[1,2,3,4,7,8],[5],[6]]=>0001100=>0011000=>1100111 [[1,3,4,5,6,8],[2],[7]]=>1000010=>0100001=>1011110 [[1,2,4,5,6,8],[3],[7]]=>0100010=>0100010=>1011101 [[1,2,3,5,6,8],[4],[7]]=>0010010=>0100100=>1011011 [[1,2,3,4,6,8],[5],[7]]=>0001010=>0101000=>1010111 [[1,2,3,4,5,8],[6],[7]]=>0000110=>0110000=>1001111 [[1,3,4,5,6,7],[2],[8]]=>1000001=>1000001=>0111110 [[1,2,4,5,6,7],[3],[8]]=>0100001=>1000010=>0111101 [[1,2,3,5,6,7],[4],[8]]=>0010001=>1000100=>0111011 [[1,2,3,4,6,7],[5],[8]]=>0001001=>1001000=>0110111 [[1,2,3,4,5,7],[6],[8]]=>0000101=>1010000=>0101111 [[1,2,3,4,5,6],[7],[8]]=>0000011=>1100000=>0011111 [[1,3,5,7,8],[2,4,6]]=>1010100=>0010101=>1101010 [[1,2,5,7,8],[3,4,6]]=>0100100=>0010010=>1101101 [[1,3,4,7,8],[2,5,6]]=>1001000=>0001001=>1110110 [[1,2,4,7,8],[3,5,6]]=>0101000=>0001010=>1110101 [[1,2,3,7,8],[4,5,6]]=>0010000=>0000100=>1111011 [[1,3,5,6,8],[2,4,7]]=>1010010=>0100101=>1011010 [[1,2,5,6,8],[3,4,7]]=>0100010=>0100010=>1011101 [[1,3,4,6,8],[2,5,7]]=>1001010=>0101001=>1010110 [[1,2,4,6,8],[3,5,7]]=>0101010=>0101010=>1010101 [[1,2,3,6,8],[4,5,7]]=>0010010=>0100100=>1011011 [[1,3,4,5,8],[2,6,7]]=>1000100=>0010001=>1101110 [[1,2,4,5,8],[3,6,7]]=>0100100=>0010010=>1101101 [[1,2,3,5,8],[4,6,7]]=>0010100=>0010100=>1101011 [[1,2,3,4,8],[5,6,7]]=>0001000=>0001000=>1110111 [[1,3,5,6,7],[2,4,8]]=>1010001=>1000101=>0111010 [[1,2,5,6,7],[3,4,8]]=>0100001=>1000010=>0111101 [[1,3,4,6,7],[2,5,8]]=>1001001=>1001001=>0110110 [[1,2,4,6,7],[3,5,8]]=>0101001=>1001010=>0110101 [[1,2,3,6,7],[4,5,8]]=>0010001=>1000100=>0111011 [[1,3,4,5,7],[2,6,8]]=>1000101=>1010001=>0101110 [[1,2,4,5,7],[3,6,8]]=>0100101=>1010010=>0101101 [[1,2,3,5,7],[4,6,8]]=>0010101=>1010100=>0101011 [[1,2,3,4,7],[5,6,8]]=>0001001=>1001000=>0110111 [[1,3,4,5,6],[2,7,8]]=>1000010=>0100001=>1011110 [[1,2,4,5,6],[3,7,8]]=>0100010=>0100010=>1011101 [[1,2,3,5,6],[4,7,8]]=>0010010=>0100100=>1011011 [[1,2,3,4,6],[5,7,8]]=>0001010=>0101000=>1010111 [[1,2,3,4,5],[6,7,8]]=>0000100=>0010000=>1101111 [[1,4,6,7,8],[2,5],[3]]=>1101000=>0001011=>1110100 [[1,3,6,7,8],[2,5],[4]]=>1010000=>0000101=>1111010 [[1,2,6,7,8],[3,5],[4]]=>0110000=>0000110=>1111001 [[1,3,6,7,8],[2,4],[5]]=>1011000=>0001101=>1110010 [[1,2,6,7,8],[3,4],[5]]=>0101000=>0001010=>1110101 [[1,4,5,7,8],[2,6],[3]]=>1100100=>0010011=>1101100 [[1,3,5,7,8],[2,6],[4]]=>1010100=>0010101=>1101010 [[1,2,5,7,8],[3,6],[4]]=>0110100=>0010110=>1101001 [[1,3,4,7,8],[2,6],[5]]=>1001000=>0001001=>1110110 [[1,2,4,7,8],[3,6],[5]]=>0101000=>0001010=>1110101 [[1,2,3,7,8],[4,6],[5]]=>0011000=>0001100=>1110011 [[1,3,5,7,8],[2,4],[6]]=>1010100=>0010101=>1101010 [[1,2,5,7,8],[3,4],[6]]=>0100100=>0010010=>1101101 [[1,3,4,7,8],[2,5],[6]]=>1001100=>0011001=>1100110 [[1,2,4,7,8],[3,5],[6]]=>0101100=>0011010=>1100101 [[1,2,3,7,8],[4,5],[6]]=>0010100=>0010100=>1101011 [[1,4,5,6,8],[2,7],[3]]=>1100010=>0100011=>1011100 [[1,3,5,6,8],[2,7],[4]]=>1010010=>0100101=>1011010 [[1,2,5,6,8],[3,7],[4]]=>0110010=>0100110=>1011001 [[1,3,4,6,8],[2,7],[5]]=>1001010=>0101001=>1010110 [[1,2,4,6,8],[3,7],[5]]=>0101010=>0101010=>1010101 [[1,2,3,6,8],[4,7],[5]]=>0011010=>0101100=>1010011 [[1,3,4,5,8],[2,7],[6]]=>1000100=>0010001=>1101110 [[1,2,4,5,8],[3,7],[6]]=>0100100=>0010010=>1101101 [[1,2,3,5,8],[4,7],[6]]=>0010100=>0010100=>1101011 [[1,2,3,4,8],[5,7],[6]]=>0001100=>0011000=>1100111 [[1,3,5,6,8],[2,4],[7]]=>1010010=>0100101=>1011010 [[1,2,5,6,8],[3,4],[7]]=>0100010=>0100010=>1011101 [[1,3,4,6,8],[2,5],[7]]=>1001010=>0101001=>1010110 [[1,2,4,6,8],[3,5],[7]]=>0101010=>0101010=>1010101 [[1,2,3,6,8],[4,5],[7]]=>0010010=>0100100=>1011011 [[1,3,4,5,8],[2,6],[7]]=>1000110=>0110001=>1001110 [[1,2,4,5,8],[3,6],[7]]=>0100110=>0110010=>1001101 [[1,2,3,5,8],[4,6],[7]]=>0010110=>0110100=>1001011 [[1,2,3,4,8],[5,6],[7]]=>0001010=>0101000=>1010111 [[1,4,5,6,7],[2,8],[3]]=>1100001=>1000011=>0111100 [[1,3,5,6,7],[2,8],[4]]=>1010001=>1000101=>0111010 [[1,2,5,6,7],[3,8],[4]]=>0110001=>1000110=>0111001 [[1,3,4,6,7],[2,8],[5]]=>1001001=>1001001=>0110110 [[1,2,4,6,7],[3,8],[5]]=>0101001=>1001010=>0110101 [[1,2,3,6,7],[4,8],[5]]=>0011001=>1001100=>0110011 [[1,3,4,5,7],[2,8],[6]]=>1000101=>1010001=>0101110 [[1,2,4,5,7],[3,8],[6]]=>0100101=>1010010=>0101101 [[1,2,3,5,7],[4,8],[6]]=>0010101=>1010100=>0101011 [[1,2,3,4,7],[5,8],[6]]=>0001101=>1011000=>0100111 [[1,3,4,5,6],[2,8],[7]]=>1000010=>0100001=>1011110 [[1,2,4,5,6],[3,8],[7]]=>0100010=>0100010=>1011101 [[1,2,3,5,6],[4,8],[7]]=>0010010=>0100100=>1011011 [[1,2,3,4,6],[5,8],[7]]=>0001010=>0101000=>1010111 [[1,2,3,4,5],[6,8],[7]]=>0000110=>0110000=>1001111 [[1,3,5,6,7],[2,4],[8]]=>1010001=>1000101=>0111010 [[1,2,5,6,7],[3,4],[8]]=>0100001=>1000010=>0111101 [[1,3,4,6,7],[2,5],[8]]=>1001001=>1001001=>0110110 [[1,2,4,6,7],[3,5],[8]]=>0101001=>1001010=>0110101 [[1,2,3,6,7],[4,5],[8]]=>0010001=>1000100=>0111011 [[1,3,4,5,7],[2,6],[8]]=>1000101=>1010001=>0101110 [[1,2,4,5,7],[3,6],[8]]=>0100101=>1010010=>0101101 [[1,2,3,5,7],[4,6],[8]]=>0010101=>1010100=>0101011 [[1,2,3,4,7],[5,6],[8]]=>0001001=>1001000=>0110111 [[1,3,4,5,6],[2,7],[8]]=>1000011=>1100001=>0011110 [[1,2,4,5,6],[3,7],[8]]=>0100011=>1100010=>0011101 [[1,2,3,5,6],[4,7],[8]]=>0010011=>1100100=>0011011 [[1,2,3,4,6],[5,7],[8]]=>0001011=>1101000=>0010111 [[1,2,3,4,5],[6,7],[8]]=>0000101=>1010000=>0101111 [[1,5,6,7,8],[2],[3],[4]]=>1110000=>0000111=>1111000 [[1,4,6,7,8],[2],[3],[5]]=>1101000=>0001011=>1110100 [[1,3,6,7,8],[2],[4],[5]]=>1011000=>0001101=>1110010 [[1,2,6,7,8],[3],[4],[5]]=>0111000=>0001110=>1110001 [[1,4,5,7,8],[2],[3],[6]]=>1100100=>0010011=>1101100 [[1,3,5,7,8],[2],[4],[6]]=>1010100=>0010101=>1101010 [[1,2,5,7,8],[3],[4],[6]]=>0110100=>0010110=>1101001 [[1,3,4,7,8],[2],[5],[6]]=>1001100=>0011001=>1100110 [[1,2,4,7,8],[3],[5],[6]]=>0101100=>0011010=>1100101 [[1,2,3,7,8],[4],[5],[6]]=>0011100=>0011100=>1100011 [[1,4,5,6,8],[2],[3],[7]]=>1100010=>0100011=>1011100 [[1,3,5,6,8],[2],[4],[7]]=>1010010=>0100101=>1011010 [[1,2,5,6,8],[3],[4],[7]]=>0110010=>0100110=>1011001 [[1,3,4,6,8],[2],[5],[7]]=>1001010=>0101001=>1010110 [[1,2,4,6,8],[3],[5],[7]]=>0101010=>0101010=>1010101 [[1,2,3,6,8],[4],[5],[7]]=>0011010=>0101100=>1010011 [[1,3,4,5,8],[2],[6],[7]]=>1000110=>0110001=>1001110 [[1,2,4,5,8],[3],[6],[7]]=>0100110=>0110010=>1001101 [[1,2,3,5,8],[4],[6],[7]]=>0010110=>0110100=>1001011 [[1,2,3,4,8],[5],[6],[7]]=>0001110=>0111000=>1000111 [[1,4,5,6,7],[2],[3],[8]]=>1100001=>1000011=>0111100 [[1,3,5,6,7],[2],[4],[8]]=>1010001=>1000101=>0111010 [[1,2,5,6,7],[3],[4],[8]]=>0110001=>1000110=>0111001 [[1,3,4,6,7],[2],[5],[8]]=>1001001=>1001001=>0110110 [[1,2,4,6,7],[3],[5],[8]]=>0101001=>1001010=>0110101 [[1,2,3,6,7],[4],[5],[8]]=>0011001=>1001100=>0110011 [[1,3,4,5,7],[2],[6],[8]]=>1000101=>1010001=>0101110 [[1,2,4,5,7],[3],[6],[8]]=>0100101=>1010010=>0101101 [[1,2,3,5,7],[4],[6],[8]]=>0010101=>1010100=>0101011 [[1,2,3,4,7],[5],[6],[8]]=>0001101=>1011000=>0100111 [[1,3,4,5,6],[2],[7],[8]]=>1000011=>1100001=>0011110 [[1,2,4,5,6],[3],[7],[8]]=>0100011=>1100010=>0011101 [[1,2,3,5,6],[4],[7],[8]]=>0010011=>1100100=>0011011 [[1,2,3,4,6],[5],[7],[8]]=>0001011=>1101000=>0010111 [[1,2,3,4,5],[6],[7],[8]]=>0000111=>1110000=>0001111 [[1,3,5,7],[2,4,6,8]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,4,6,8]]=>0100101=>1010010=>0101101 [[1,3,4,7],[2,5,6,8]]=>1001001=>1001001=>0110110 [[1,2,4,7],[3,5,6,8]]=>0101001=>1001010=>0110101 [[1,2,3,7],[4,5,6,8]]=>0010001=>1000100=>0111011 [[1,3,5,6],[2,4,7,8]]=>1010010=>0100101=>1011010 [[1,2,5,6],[3,4,7,8]]=>0100010=>0100010=>1011101 [[1,3,4,6],[2,5,7,8]]=>1001010=>0101001=>1010110 [[1,2,4,6],[3,5,7,8]]=>0101010=>0101010=>1010101 [[1,2,3,6],[4,5,7,8]]=>0010010=>0100100=>1011011 [[1,3,4,5],[2,6,7,8]]=>1000100=>0010001=>1101110 [[1,2,4,5],[3,6,7,8]]=>0100100=>0010010=>1101101 [[1,2,3,5],[4,6,7,8]]=>0010100=>0010100=>1101011 [[1,2,3,4],[5,6,7,8]]=>0001000=>0001000=>1110111 [[1,4,6,8],[2,5,7],[3]]=>1101010=>0101011=>1010100 [[1,3,6,8],[2,5,7],[4]]=>1010010=>0100101=>1011010 [[1,2,6,8],[3,5,7],[4]]=>0110010=>0100110=>1011001 [[1,3,6,8],[2,4,7],[5]]=>1011010=>0101101=>1010010 [[1,2,6,8],[3,4,7],[5]]=>0101010=>0101010=>1010101 [[1,4,5,8],[2,6,7],[3]]=>1100100=>0010011=>1101100 [[1,3,5,8],[2,6,7],[4]]=>1010100=>0010101=>1101010 [[1,2,5,8],[3,6,7],[4]]=>0110100=>0010110=>1101001 [[1,3,4,8],[2,6,7],[5]]=>1001000=>0001001=>1110110 [[1,2,4,8],[3,6,7],[5]]=>0101000=>0001010=>1110101 [[1,2,3,8],[4,6,7],[5]]=>0011000=>0001100=>1110011 [[1,3,5,8],[2,4,7],[6]]=>1010100=>0010101=>1101010 [[1,2,5,8],[3,4,7],[6]]=>0100100=>0010010=>1101101 [[1,3,4,8],[2,5,7],[6]]=>1001100=>0011001=>1100110 [[1,2,4,8],[3,5,7],[6]]=>0101100=>0011010=>1100101 [[1,2,3,8],[4,5,7],[6]]=>0010100=>0010100=>1101011 [[1,3,5,8],[2,4,6],[7]]=>1010110=>0110101=>1001010 [[1,2,5,8],[3,4,6],[7]]=>0100110=>0110010=>1001101 [[1,3,4,8],[2,5,6],[7]]=>1001010=>0101001=>1010110 [[1,2,4,8],[3,5,6],[7]]=>0101010=>0101010=>1010101 [[1,2,3,8],[4,5,6],[7]]=>0010010=>0100100=>1011011 [[1,4,6,7],[2,5,8],[3]]=>1101001=>1001011=>0110100 [[1,3,6,7],[2,5,8],[4]]=>1010001=>1000101=>0111010 [[1,2,6,7],[3,5,8],[4]]=>0110001=>1000110=>0111001 [[1,3,6,7],[2,4,8],[5]]=>1011001=>1001101=>0110010 [[1,2,6,7],[3,4,8],[5]]=>0101001=>1001010=>0110101 [[1,4,5,7],[2,6,8],[3]]=>1100101=>1010011=>0101100 [[1,3,5,7],[2,6,8],[4]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,6,8],[4]]=>0110101=>1010110=>0101001 [[1,3,4,7],[2,6,8],[5]]=>1001001=>1001001=>0110110 [[1,2,4,7],[3,6,8],[5]]=>0101001=>1001010=>0110101 [[1,2,3,7],[4,6,8],[5]]=>0011001=>1001100=>0110011 [[1,3,5,7],[2,4,8],[6]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,4,8],[6]]=>0100101=>1010010=>0101101 [[1,3,4,7],[2,5,8],[6]]=>1001101=>1011001=>0100110 [[1,2,4,7],[3,5,8],[6]]=>0101101=>1011010=>0100101 [[1,2,3,7],[4,5,8],[6]]=>0010101=>1010100=>0101011 [[1,4,5,6],[2,7,8],[3]]=>1100010=>0100011=>1011100 [[1,3,5,6],[2,7,8],[4]]=>1010010=>0100101=>1011010 [[1,2,5,6],[3,7,8],[4]]=>0110010=>0100110=>1011001 [[1,3,4,6],[2,7,8],[5]]=>1001010=>0101001=>1010110 [[1,2,4,6],[3,7,8],[5]]=>0101010=>0101010=>1010101 [[1,2,3,6],[4,7,8],[5]]=>0011010=>0101100=>1010011 [[1,3,4,5],[2,7,8],[6]]=>1000100=>0010001=>1101110 [[1,2,4,5],[3,7,8],[6]]=>0100100=>0010010=>1101101 [[1,2,3,5],[4,7,8],[6]]=>0010100=>0010100=>1101011 [[1,2,3,4],[5,7,8],[6]]=>0001100=>0011000=>1100111 [[1,3,5,6],[2,4,8],[7]]=>1010010=>0100101=>1011010 [[1,2,5,6],[3,4,8],[7]]=>0100010=>0100010=>1011101 [[1,3,4,6],[2,5,8],[7]]=>1001010=>0101001=>1010110 [[1,2,4,6],[3,5,8],[7]]=>0101010=>0101010=>1010101 [[1,2,3,6],[4,5,8],[7]]=>0010010=>0100100=>1011011 [[1,3,4,5],[2,6,8],[7]]=>1000110=>0110001=>1001110 [[1,2,4,5],[3,6,8],[7]]=>0100110=>0110010=>1001101 [[1,2,3,5],[4,6,8],[7]]=>0010110=>0110100=>1001011 [[1,2,3,4],[5,6,8],[7]]=>0001010=>0101000=>1010111 [[1,3,5,7],[2,4,6],[8]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,4,6],[8]]=>0100101=>1010010=>0101101 [[1,3,4,7],[2,5,6],[8]]=>1001001=>1001001=>0110110 [[1,2,4,7],[3,5,6],[8]]=>0101001=>1001010=>0110101 [[1,2,3,7],[4,5,6],[8]]=>0010001=>1000100=>0111011 [[1,3,5,6],[2,4,7],[8]]=>1010011=>1100101=>0011010 [[1,2,5,6],[3,4,7],[8]]=>0100011=>1100010=>0011101 [[1,3,4,6],[2,5,7],[8]]=>1001011=>1101001=>0010110 [[1,2,4,6],[3,5,7],[8]]=>0101011=>1101010=>0010101 [[1,2,3,6],[4,5,7],[8]]=>0010011=>1100100=>0011011 [[1,3,4,5],[2,6,7],[8]]=>1000101=>1010001=>0101110 [[1,2,4,5],[3,6,7],[8]]=>0100101=>1010010=>0101101 [[1,2,3,5],[4,6,7],[8]]=>0010101=>1010100=>0101011 [[1,2,3,4],[5,6,7],[8]]=>0001001=>1001000=>0110111 [[1,4,7,8],[2,5],[3,6]]=>1101100=>0011011=>1100100 [[1,3,7,8],[2,5],[4,6]]=>1010100=>0010101=>1101010 [[1,2,7,8],[3,5],[4,6]]=>0110100=>0010110=>1101001 [[1,3,7,8],[2,4],[5,6]]=>1011000=>0001101=>1110010 [[1,2,7,8],[3,4],[5,6]]=>0101000=>0001010=>1110101 [[1,4,6,8],[2,5],[3,7]]=>1101010=>0101011=>1010100 [[1,3,6,8],[2,5],[4,7]]=>1010010=>0100101=>1011010 [[1,2,6,8],[3,5],[4,7]]=>0110010=>0100110=>1011001 [[1,3,6,8],[2,4],[5,7]]=>1011010=>0101101=>1010010 [[1,2,6,8],[3,4],[5,7]]=>0101010=>0101010=>1010101 [[1,4,5,8],[2,6],[3,7]]=>1100110=>0110011=>1001100 [[1,3,5,8],[2,6],[4,7]]=>1010110=>0110101=>1001010 [[1,2,5,8],[3,6],[4,7]]=>0110110=>0110110=>1001001 [[1,3,4,8],[2,6],[5,7]]=>1001010=>0101001=>1010110 [[1,2,4,8],[3,6],[5,7]]=>0101010=>0101010=>1010101 [[1,2,3,8],[4,6],[5,7]]=>0011010=>0101100=>1010011 [[1,3,5,8],[2,4],[6,7]]=>1010100=>0010101=>1101010 [[1,2,5,8],[3,4],[6,7]]=>0100100=>0010010=>1101101 [[1,3,4,8],[2,5],[6,7]]=>1001100=>0011001=>1100110 [[1,2,4,8],[3,5],[6,7]]=>0101100=>0011010=>1100101 [[1,2,3,8],[4,5],[6,7]]=>0010100=>0010100=>1101011 [[1,4,6,7],[2,5],[3,8]]=>1101001=>1001011=>0110100 [[1,3,6,7],[2,5],[4,8]]=>1010001=>1000101=>0111010 [[1,2,6,7],[3,5],[4,8]]=>0110001=>1000110=>0111001 [[1,3,6,7],[2,4],[5,8]]=>1011001=>1001101=>0110010 [[1,2,6,7],[3,4],[5,8]]=>0101001=>1001010=>0110101 [[1,4,5,7],[2,6],[3,8]]=>1100101=>1010011=>0101100 [[1,3,5,7],[2,6],[4,8]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,6],[4,8]]=>0110101=>1010110=>0101001 [[1,3,4,7],[2,6],[5,8]]=>1001001=>1001001=>0110110 [[1,2,4,7],[3,6],[5,8]]=>0101001=>1001010=>0110101 [[1,2,3,7],[4,6],[5,8]]=>0011001=>1001100=>0110011 [[1,3,5,7],[2,4],[6,8]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,4],[6,8]]=>0100101=>1010010=>0101101 [[1,3,4,7],[2,5],[6,8]]=>1001101=>1011001=>0100110 [[1,2,4,7],[3,5],[6,8]]=>0101101=>1011010=>0100101 [[1,2,3,7],[4,5],[6,8]]=>0010101=>1010100=>0101011 [[1,4,5,6],[2,7],[3,8]]=>1100011=>1100011=>0011100 [[1,3,5,6],[2,7],[4,8]]=>1010011=>1100101=>0011010 [[1,2,5,6],[3,7],[4,8]]=>0110011=>1100110=>0011001 [[1,3,4,6],[2,7],[5,8]]=>1001011=>1101001=>0010110 [[1,2,4,6],[3,7],[5,8]]=>0101011=>1101010=>0010101 [[1,2,3,6],[4,7],[5,8]]=>0011011=>1101100=>0010011 [[1,3,4,5],[2,7],[6,8]]=>1000101=>1010001=>0101110 [[1,2,4,5],[3,7],[6,8]]=>0100101=>1010010=>0101101 [[1,2,3,5],[4,7],[6,8]]=>0010101=>1010100=>0101011 [[1,2,3,4],[5,7],[6,8]]=>0001101=>1011000=>0100111 [[1,3,5,6],[2,4],[7,8]]=>1010010=>0100101=>1011010 [[1,2,5,6],[3,4],[7,8]]=>0100010=>0100010=>1011101 [[1,3,4,6],[2,5],[7,8]]=>1001010=>0101001=>1010110 [[1,2,4,6],[3,5],[7,8]]=>0101010=>0101010=>1010101 [[1,2,3,6],[4,5],[7,8]]=>0010010=>0100100=>1011011 [[1,3,4,5],[2,6],[7,8]]=>1000110=>0110001=>1001110 [[1,2,4,5],[3,6],[7,8]]=>0100110=>0110010=>1001101 [[1,2,3,5],[4,6],[7,8]]=>0010110=>0110100=>1001011 [[1,2,3,4],[5,6],[7,8]]=>0001010=>0101000=>1010111 [[1,5,7,8],[2,6],[3],[4]]=>1110100=>0010111=>1101000 [[1,4,7,8],[2,6],[3],[5]]=>1101000=>0001011=>1110100 [[1,3,7,8],[2,6],[4],[5]]=>1011000=>0001101=>1110010 [[1,2,7,8],[3,6],[4],[5]]=>0111000=>0001110=>1110001 [[1,4,7,8],[2,5],[3],[6]]=>1101100=>0011011=>1100100 [[1,3,7,8],[2,5],[4],[6]]=>1010100=>0010101=>1101010 [[1,2,7,8],[3,5],[4],[6]]=>0110100=>0010110=>1101001 [[1,3,7,8],[2,4],[5],[6]]=>1011100=>0011101=>1100010 [[1,2,7,8],[3,4],[5],[6]]=>0101100=>0011010=>1100101 [[1,5,6,8],[2,7],[3],[4]]=>1110010=>0100111=>1011000 [[1,4,6,8],[2,7],[3],[5]]=>1101010=>0101011=>1010100 [[1,3,6,8],[2,7],[4],[5]]=>1011010=>0101101=>1010010 [[1,2,6,8],[3,7],[4],[5]]=>0111010=>0101110=>1010001 [[1,4,5,8],[2,7],[3],[6]]=>1100100=>0010011=>1101100 [[1,3,5,8],[2,7],[4],[6]]=>1010100=>0010101=>1101010 [[1,2,5,8],[3,7],[4],[6]]=>0110100=>0010110=>1101001 [[1,3,4,8],[2,7],[5],[6]]=>1001100=>0011001=>1100110 [[1,2,4,8],[3,7],[5],[6]]=>0101100=>0011010=>1100101 [[1,2,3,8],[4,7],[5],[6]]=>0011100=>0011100=>1100011 [[1,4,6,8],[2,5],[3],[7]]=>1101010=>0101011=>1010100 [[1,3,6,8],[2,5],[4],[7]]=>1010010=>0100101=>1011010 [[1,2,6,8],[3,5],[4],[7]]=>0110010=>0100110=>1011001 [[1,3,6,8],[2,4],[5],[7]]=>1011010=>0101101=>1010010 [[1,2,6,8],[3,4],[5],[7]]=>0101010=>0101010=>1010101 [[1,4,5,8],[2,6],[3],[7]]=>1100110=>0110011=>1001100 [[1,3,5,8],[2,6],[4],[7]]=>1010110=>0110101=>1001010 [[1,2,5,8],[3,6],[4],[7]]=>0110110=>0110110=>1001001 [[1,3,4,8],[2,6],[5],[7]]=>1001010=>0101001=>1010110 [[1,2,4,8],[3,6],[5],[7]]=>0101010=>0101010=>1010101 [[1,2,3,8],[4,6],[5],[7]]=>0011010=>0101100=>1010011 [[1,3,5,8],[2,4],[6],[7]]=>1010110=>0110101=>1001010 [[1,2,5,8],[3,4],[6],[7]]=>0100110=>0110010=>1001101 [[1,3,4,8],[2,5],[6],[7]]=>1001110=>0111001=>1000110 [[1,2,4,8],[3,5],[6],[7]]=>0101110=>0111010=>1000101 [[1,2,3,8],[4,5],[6],[7]]=>0010110=>0110100=>1001011 [[1,5,6,7],[2,8],[3],[4]]=>1110001=>1000111=>0111000 [[1,4,6,7],[2,8],[3],[5]]=>1101001=>1001011=>0110100 [[1,3,6,7],[2,8],[4],[5]]=>1011001=>1001101=>0110010 [[1,2,6,7],[3,8],[4],[5]]=>0111001=>1001110=>0110001 [[1,4,5,7],[2,8],[3],[6]]=>1100101=>1010011=>0101100 [[1,3,5,7],[2,8],[4],[6]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,8],[4],[6]]=>0110101=>1010110=>0101001 [[1,3,4,7],[2,8],[5],[6]]=>1001101=>1011001=>0100110 [[1,2,4,7],[3,8],[5],[6]]=>0101101=>1011010=>0100101 [[1,2,3,7],[4,8],[5],[6]]=>0011101=>1011100=>0100011 [[1,4,5,6],[2,8],[3],[7]]=>1100010=>0100011=>1011100 [[1,3,5,6],[2,8],[4],[7]]=>1010010=>0100101=>1011010 [[1,2,5,6],[3,8],[4],[7]]=>0110010=>0100110=>1011001 [[1,3,4,6],[2,8],[5],[7]]=>1001010=>0101001=>1010110 [[1,2,4,6],[3,8],[5],[7]]=>0101010=>0101010=>1010101 [[1,2,3,6],[4,8],[5],[7]]=>0011010=>0101100=>1010011 [[1,3,4,5],[2,8],[6],[7]]=>1000110=>0110001=>1001110 [[1,2,4,5],[3,8],[6],[7]]=>0100110=>0110010=>1001101 [[1,2,3,5],[4,8],[6],[7]]=>0010110=>0110100=>1001011 [[1,2,3,4],[5,8],[6],[7]]=>0001110=>0111000=>1000111 [[1,4,6,7],[2,5],[3],[8]]=>1101001=>1001011=>0110100 [[1,3,6,7],[2,5],[4],[8]]=>1010001=>1000101=>0111010 [[1,2,6,7],[3,5],[4],[8]]=>0110001=>1000110=>0111001 [[1,3,6,7],[2,4],[5],[8]]=>1011001=>1001101=>0110010 [[1,2,6,7],[3,4],[5],[8]]=>0101001=>1001010=>0110101 [[1,4,5,7],[2,6],[3],[8]]=>1100101=>1010011=>0101100 [[1,3,5,7],[2,6],[4],[8]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,6],[4],[8]]=>0110101=>1010110=>0101001 [[1,3,4,7],[2,6],[5],[8]]=>1001001=>1001001=>0110110 [[1,2,4,7],[3,6],[5],[8]]=>0101001=>1001010=>0110101 [[1,2,3,7],[4,6],[5],[8]]=>0011001=>1001100=>0110011 [[1,3,5,7],[2,4],[6],[8]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3,4],[6],[8]]=>0100101=>1010010=>0101101 [[1,3,4,7],[2,5],[6],[8]]=>1001101=>1011001=>0100110 [[1,2,4,7],[3,5],[6],[8]]=>0101101=>1011010=>0100101 [[1,2,3,7],[4,5],[6],[8]]=>0010101=>1010100=>0101011 [[1,4,5,6],[2,7],[3],[8]]=>1100011=>1100011=>0011100 [[1,3,5,6],[2,7],[4],[8]]=>1010011=>1100101=>0011010 [[1,2,5,6],[3,7],[4],[8]]=>0110011=>1100110=>0011001 [[1,3,4,6],[2,7],[5],[8]]=>1001011=>1101001=>0010110 [[1,2,4,6],[3,7],[5],[8]]=>0101011=>1101010=>0010101 [[1,2,3,6],[4,7],[5],[8]]=>0011011=>1101100=>0010011 [[1,3,4,5],[2,7],[6],[8]]=>1000101=>1010001=>0101110 [[1,2,4,5],[3,7],[6],[8]]=>0100101=>1010010=>0101101 [[1,2,3,5],[4,7],[6],[8]]=>0010101=>1010100=>0101011 [[1,2,3,4],[5,7],[6],[8]]=>0001101=>1011000=>0100111 [[1,3,5,6],[2,4],[7],[8]]=>1010011=>1100101=>0011010 [[1,2,5,6],[3,4],[7],[8]]=>0100011=>1100010=>0011101 [[1,3,4,6],[2,5],[7],[8]]=>1001011=>1101001=>0010110 [[1,2,4,6],[3,5],[7],[8]]=>0101011=>1101010=>0010101 [[1,2,3,6],[4,5],[7],[8]]=>0010011=>1100100=>0011011 [[1,3,4,5],[2,6],[7],[8]]=>1000111=>1110001=>0001110 [[1,2,4,5],[3,6],[7],[8]]=>0100111=>1110010=>0001101 [[1,2,3,5],[4,6],[7],[8]]=>0010111=>1110100=>0001011 [[1,2,3,4],[5,6],[7],[8]]=>0001011=>1101000=>0010111 [[1,6,7,8],[2],[3],[4],[5]]=>1111000=>0001111=>1110000 [[1,5,7,8],[2],[3],[4],[6]]=>1110100=>0010111=>1101000 [[1,4,7,8],[2],[3],[5],[6]]=>1101100=>0011011=>1100100 [[1,3,7,8],[2],[4],[5],[6]]=>1011100=>0011101=>1100010 [[1,2,7,8],[3],[4],[5],[6]]=>0111100=>0011110=>1100001 [[1,5,6,8],[2],[3],[4],[7]]=>1110010=>0100111=>1011000 [[1,4,6,8],[2],[3],[5],[7]]=>1101010=>0101011=>1010100 [[1,3,6,8],[2],[4],[5],[7]]=>1011010=>0101101=>1010010 [[1,2,6,8],[3],[4],[5],[7]]=>0111010=>0101110=>1010001 [[1,4,5,8],[2],[3],[6],[7]]=>1100110=>0110011=>1001100 [[1,3,5,8],[2],[4],[6],[7]]=>1010110=>0110101=>1001010 [[1,2,5,8],[3],[4],[6],[7]]=>0110110=>0110110=>1001001 [[1,3,4,8],[2],[5],[6],[7]]=>1001110=>0111001=>1000110 [[1,2,4,8],[3],[5],[6],[7]]=>0101110=>0111010=>1000101 [[1,2,3,8],[4],[5],[6],[7]]=>0011110=>0111100=>1000011 [[1,5,6,7],[2],[3],[4],[8]]=>1110001=>1000111=>0111000 [[1,4,6,7],[2],[3],[5],[8]]=>1101001=>1001011=>0110100 [[1,3,6,7],[2],[4],[5],[8]]=>1011001=>1001101=>0110010 [[1,2,6,7],[3],[4],[5],[8]]=>0111001=>1001110=>0110001 [[1,4,5,7],[2],[3],[6],[8]]=>1100101=>1010011=>0101100 [[1,3,5,7],[2],[4],[6],[8]]=>1010101=>1010101=>0101010 [[1,2,5,7],[3],[4],[6],[8]]=>0110101=>1010110=>0101001 [[1,3,4,7],[2],[5],[6],[8]]=>1001101=>1011001=>0100110 [[1,2,4,7],[3],[5],[6],[8]]=>0101101=>1011010=>0100101 [[1,2,3,7],[4],[5],[6],[8]]=>0011101=>1011100=>0100011 [[1,4,5,6],[2],[3],[7],[8]]=>1100011=>1100011=>0011100 [[1,3,5,6],[2],[4],[7],[8]]=>1010011=>1100101=>0011010 [[1,2,5,6],[3],[4],[7],[8]]=>0110011=>1100110=>0011001 [[1,3,4,6],[2],[5],[7],[8]]=>1001011=>1101001=>0010110 [[1,2,4,6],[3],[5],[7],[8]]=>0101011=>1101010=>0010101 [[1,2,3,6],[4],[5],[7],[8]]=>0011011=>1101100=>0010011 [[1,3,4,5],[2],[6],[7],[8]]=>1000111=>1110001=>0001110 [[1,2,4,5],[3],[6],[7],[8]]=>0100111=>1110010=>0001101 [[1,2,3,5],[4],[6],[7],[8]]=>0010111=>1110100=>0001011 [[1,2,3,4],[5],[6],[7],[8]]=>0001111=>1111000=>0000111 [[1,4,7],[2,5,8],[3,6]]=>1101101=>1011011=>0100100 [[1,3,7],[2,5,8],[4,6]]=>1010101=>1010101=>0101010 [[1,2,7],[3,5,8],[4,6]]=>0110101=>1010110=>0101001 [[1,3,7],[2,4,8],[5,6]]=>1011001=>1001101=>0110010 [[1,2,7],[3,4,8],[5,6]]=>0101001=>1001010=>0110101 [[1,4,6],[2,5,8],[3,7]]=>1101010=>0101011=>1010100 [[1,3,6],[2,5,8],[4,7]]=>1010010=>0100101=>1011010 [[1,2,6],[3,5,8],[4,7]]=>0110010=>0100110=>1011001 [[1,3,6],[2,4,8],[5,7]]=>1011010=>0101101=>1010010 [[1,2,6],[3,4,8],[5,7]]=>0101010=>0101010=>1010101 [[1,4,5],[2,6,8],[3,7]]=>1100110=>0110011=>1001100 [[1,3,5],[2,6,8],[4,7]]=>1010110=>0110101=>1001010 [[1,2,5],[3,6,8],[4,7]]=>0110110=>0110110=>1001001 [[1,3,4],[2,6,8],[5,7]]=>1001010=>0101001=>1010110 [[1,2,4],[3,6,8],[5,7]]=>0101010=>0101010=>1010101 [[1,2,3],[4,6,8],[5,7]]=>0011010=>0101100=>1010011 [[1,3,5],[2,4,8],[6,7]]=>1010100=>0010101=>1101010 [[1,2,5],[3,4,8],[6,7]]=>0100100=>0010010=>1101101 [[1,3,4],[2,5,8],[6,7]]=>1001100=>0011001=>1100110 [[1,2,4],[3,5,8],[6,7]]=>0101100=>0011010=>1100101 [[1,2,3],[4,5,8],[6,7]]=>0010100=>0010100=>1101011 [[1,4,6],[2,5,7],[3,8]]=>1101011=>1101011=>0010100 [[1,3,6],[2,5,7],[4,8]]=>1010011=>1100101=>0011010 [[1,2,6],[3,5,7],[4,8]]=>0110011=>1100110=>0011001 [[1,3,6],[2,4,7],[5,8]]=>1011011=>1101101=>0010010 [[1,2,6],[3,4,7],[5,8]]=>0101011=>1101010=>0010101 [[1,4,5],[2,6,7],[3,8]]=>1100101=>1010011=>0101100 [[1,3,5],[2,6,7],[4,8]]=>1010101=>1010101=>0101010 [[1,2,5],[3,6,7],[4,8]]=>0110101=>1010110=>0101001 [[1,3,4],[2,6,7],[5,8]]=>1001001=>1001001=>0110110 [[1,2,4],[3,6,7],[5,8]]=>0101001=>1001010=>0110101 [[1,2,3],[4,6,7],[5,8]]=>0011001=>1001100=>0110011 [[1,3,5],[2,4,7],[6,8]]=>1010101=>1010101=>0101010 [[1,2,5],[3,4,7],[6,8]]=>0100101=>1010010=>0101101 [[1,3,4],[2,5,7],[6,8]]=>1001101=>1011001=>0100110 [[1,2,4],[3,5,7],[6,8]]=>0101101=>1011010=>0100101 [[1,2,3],[4,5,7],[6,8]]=>0010101=>1010100=>0101011 [[1,3,5],[2,4,6],[7,8]]=>1010110=>0110101=>1001010 [[1,2,5],[3,4,6],[7,8]]=>0100110=>0110010=>1001101 [[1,3,4],[2,5,6],[7,8]]=>1001010=>0101001=>1010110 [[1,2,4],[3,5,6],[7,8]]=>0101010=>0101010=>1010101 [[1,2,3],[4,5,6],[7,8]]=>0010010=>0100100=>1011011 [[1,5,7],[2,6,8],[3],[4]]=>1110101=>1010111=>0101000 [[1,4,7],[2,6,8],[3],[5]]=>1101001=>1001011=>0110100 [[1,3,7],[2,6,8],[4],[5]]=>1011001=>1001101=>0110010 [[1,2,7],[3,6,8],[4],[5]]=>0111001=>1001110=>0110001 [[1,4,7],[2,5,8],[3],[6]]=>1101101=>1011011=>0100100 [[1,3,7],[2,5,8],[4],[6]]=>1010101=>1010101=>0101010 [[1,2,7],[3,5,8],[4],[6]]=>0110101=>1010110=>0101001 [[1,3,7],[2,4,8],[5],[6]]=>1011101=>1011101=>0100010 [[1,2,7],[3,4,8],[5],[6]]=>0101101=>1011010=>0100101 [[1,5,6],[2,7,8],[3],[4]]=>1110010=>0100111=>1011000 [[1,4,6],[2,7,8],[3],[5]]=>1101010=>0101011=>1010100 [[1,3,6],[2,7,8],[4],[5]]=>1011010=>0101101=>1010010 [[1,2,6],[3,7,8],[4],[5]]=>0111010=>0101110=>1010001 [[1,4,5],[2,7,8],[3],[6]]=>1100100=>0010011=>1101100 [[1,3,5],[2,7,8],[4],[6]]=>1010100=>0010101=>1101010 [[1,2,5],[3,7,8],[4],[6]]=>0110100=>0010110=>1101001 [[1,3,4],[2,7,8],[5],[6]]=>1001100=>0011001=>1100110 [[1,2,4],[3,7,8],[5],[6]]=>0101100=>0011010=>1100101 [[1,2,3],[4,7,8],[5],[6]]=>0011100=>0011100=>1100011 [[1,4,6],[2,5,8],[3],[7]]=>1101010=>0101011=>1010100 [[1,3,6],[2,5,8],[4],[7]]=>1010010=>0100101=>1011010 [[1,2,6],[3,5,8],[4],[7]]=>0110010=>0100110=>1011001 [[1,3,6],[2,4,8],[5],[7]]=>1011010=>0101101=>1010010 [[1,2,6],[3,4,8],[5],[7]]=>0101010=>0101010=>1010101 [[1,4,5],[2,6,8],[3],[7]]=>1100110=>0110011=>1001100 [[1,3,5],[2,6,8],[4],[7]]=>1010110=>0110101=>1001010 [[1,2,5],[3,6,8],[4],[7]]=>0110110=>0110110=>1001001 [[1,3,4],[2,6,8],[5],[7]]=>1001010=>0101001=>1010110 [[1,2,4],[3,6,8],[5],[7]]=>0101010=>0101010=>1010101 [[1,2,3],[4,6,8],[5],[7]]=>0011010=>0101100=>1010011 [[1,3,5],[2,4,8],[6],[7]]=>1010110=>0110101=>1001010 [[1,2,5],[3,4,8],[6],[7]]=>0100110=>0110010=>1001101 [[1,3,4],[2,5,8],[6],[7]]=>1001110=>0111001=>1000110 [[1,2,4],[3,5,8],[6],[7]]=>0101110=>0111010=>1000101 [[1,2,3],[4,5,8],[6],[7]]=>0010110=>0110100=>1001011 [[1,4,6],[2,5,7],[3],[8]]=>1101011=>1101011=>0010100 [[1,3,6],[2,5,7],[4],[8]]=>1010011=>1100101=>0011010 [[1,2,6],[3,5,7],[4],[8]]=>0110011=>1100110=>0011001 [[1,3,6],[2,4,7],[5],[8]]=>1011011=>1101101=>0010010 [[1,2,6],[3,4,7],[5],[8]]=>0101011=>1101010=>0010101 [[1,4,5],[2,6,7],[3],[8]]=>1100101=>1010011=>0101100 [[1,3,5],[2,6,7],[4],[8]]=>1010101=>1010101=>0101010 [[1,2,5],[3,6,7],[4],[8]]=>0110101=>1010110=>0101001 [[1,3,4],[2,6,7],[5],[8]]=>1001001=>1001001=>0110110 [[1,2,4],[3,6,7],[5],[8]]=>0101001=>1001010=>0110101 [[1,2,3],[4,6,7],[5],[8]]=>0011001=>1001100=>0110011 [[1,3,5],[2,4,7],[6],[8]]=>1010101=>1010101=>0101010 [[1,2,5],[3,4,7],[6],[8]]=>0100101=>1010010=>0101101 [[1,3,4],[2,5,7],[6],[8]]=>1001101=>1011001=>0100110 [[1,2,4],[3,5,7],[6],[8]]=>0101101=>1011010=>0100101 [[1,2,3],[4,5,7],[6],[8]]=>0010101=>1010100=>0101011 [[1,3,5],[2,4,6],[7],[8]]=>1010111=>1110101=>0001010 [[1,2,5],[3,4,6],[7],[8]]=>0100111=>1110010=>0001101 [[1,3,4],[2,5,6],[7],[8]]=>1001011=>1101001=>0010110 [[1,2,4],[3,5,6],[7],[8]]=>0101011=>1101010=>0010101 [[1,2,3],[4,5,6],[7],[8]]=>0010011=>1100100=>0011011 [[1,5,8],[2,6],[3,7],[4]]=>1110110=>0110111=>1001000 [[1,4,8],[2,6],[3,7],[5]]=>1101010=>0101011=>1010100 [[1,3,8],[2,6],[4,7],[5]]=>1011010=>0101101=>1010010 [[1,2,8],[3,6],[4,7],[5]]=>0111010=>0101110=>1010001 [[1,4,8],[2,5],[3,7],[6]]=>1101100=>0011011=>1100100 [[1,3,8],[2,5],[4,7],[6]]=>1010100=>0010101=>1101010 [[1,2,8],[3,5],[4,7],[6]]=>0110100=>0010110=>1101001 [[1,3,8],[2,4],[5,7],[6]]=>1011100=>0011101=>1100010 [[1,2,8],[3,4],[5,7],[6]]=>0101100=>0011010=>1100101 [[1,4,8],[2,5],[3,6],[7]]=>1101110=>0111011=>1000100 [[1,3,8],[2,5],[4,6],[7]]=>1010110=>0110101=>1001010 [[1,2,8],[3,5],[4,6],[7]]=>0110110=>0110110=>1001001 [[1,3,8],[2,4],[5,6],[7]]=>1011010=>0101101=>1010010 [[1,2,8],[3,4],[5,6],[7]]=>0101010=>0101010=>1010101 [[1,5,7],[2,6],[3,8],[4]]=>1110101=>1010111=>0101000 [[1,4,7],[2,6],[3,8],[5]]=>1101001=>1001011=>0110100 [[1,3,7],[2,6],[4,8],[5]]=>1011001=>1001101=>0110010 [[1,2,7],[3,6],[4,8],[5]]=>0111001=>1001110=>0110001 [[1,4,7],[2,5],[3,8],[6]]=>1101101=>1011011=>0100100 [[1,3,7],[2,5],[4,8],[6]]=>1010101=>1010101=>0101010 [[1,2,7],[3,5],[4,8],[6]]=>0110101=>1010110=>0101001 [[1,3,7],[2,4],[5,8],[6]]=>1011101=>1011101=>0100010 [[1,2,7],[3,4],[5,8],[6]]=>0101101=>1011010=>0100101 [[1,5,6],[2,7],[3,8],[4]]=>1110011=>1100111=>0011000 [[1,4,6],[2,7],[3,8],[5]]=>1101011=>1101011=>0010100 [[1,3,6],[2,7],[4,8],[5]]=>1011011=>1101101=>0010010 [[1,2,6],[3,7],[4,8],[5]]=>0111011=>1101110=>0010001 [[1,4,5],[2,7],[3,8],[6]]=>1100101=>1010011=>0101100 [[1,3,5],[2,7],[4,8],[6]]=>1010101=>1010101=>0101010 [[1,2,5],[3,7],[4,8],[6]]=>0110101=>1010110=>0101001 [[1,3,4],[2,7],[5,8],[6]]=>1001101=>1011001=>0100110 [[1,2,4],[3,7],[5,8],[6]]=>0101101=>1011010=>0100101 [[1,2,3],[4,7],[5,8],[6]]=>0011101=>1011100=>0100011 [[1,4,6],[2,5],[3,8],[7]]=>1101010=>0101011=>1010100 [[1,3,6],[2,5],[4,8],[7]]=>1010010=>0100101=>1011010 [[1,2,6],[3,5],[4,8],[7]]=>0110010=>0100110=>1011001 [[1,3,6],[2,4],[5,8],[7]]=>1011010=>0101101=>1010010 [[1,2,6],[3,4],[5,8],[7]]=>0101010=>0101010=>1010101 [[1,4,5],[2,6],[3,8],[7]]=>1100110=>0110011=>1001100 [[1,3,5],[2,6],[4,8],[7]]=>1010110=>0110101=>1001010 [[1,2,5],[3,6],[4,8],[7]]=>0110110=>0110110=>1001001 [[1,3,4],[2,6],[5,8],[7]]=>1001010=>0101001=>1010110 [[1,2,4],[3,6],[5,8],[7]]=>0101010=>0101010=>1010101 [[1,2,3],[4,6],[5,8],[7]]=>0011010=>0101100=>1010011 [[1,3,5],[2,4],[6,8],[7]]=>1010110=>0110101=>1001010 [[1,2,5],[3,4],[6,8],[7]]=>0100110=>0110010=>1001101 [[1,3,4],[2,5],[6,8],[7]]=>1001110=>0111001=>1000110 [[1,2,4],[3,5],[6,8],[7]]=>0101110=>0111010=>1000101 [[1,2,3],[4,5],[6,8],[7]]=>0010110=>0110100=>1001011 [[1,4,7],[2,5],[3,6],[8]]=>1101101=>1011011=>0100100 [[1,3,7],[2,5],[4,6],[8]]=>1010101=>1010101=>0101010 [[1,2,7],[3,5],[4,6],[8]]=>0110101=>1010110=>0101001 [[1,3,7],[2,4],[5,6],[8]]=>1011001=>1001101=>0110010 [[1,2,7],[3,4],[5,6],[8]]=>0101001=>1001010=>0110101 [[1,4,6],[2,5],[3,7],[8]]=>1101011=>1101011=>0010100 [[1,3,6],[2,5],[4,7],[8]]=>1010011=>1100101=>0011010 [[1,2,6],[3,5],[4,7],[8]]=>0110011=>1100110=>0011001 [[1,3,6],[2,4],[5,7],[8]]=>1011011=>1101101=>0010010 [[1,2,6],[3,4],[5,7],[8]]=>0101011=>1101010=>0010101 [[1,4,5],[2,6],[3,7],[8]]=>1100111=>1110011=>0001100 [[1,3,5],[2,6],[4,7],[8]]=>1010111=>1110101=>0001010 [[1,2,5],[3,6],[4,7],[8]]=>0110111=>1110110=>0001001 [[1,3,4],[2,6],[5,7],[8]]=>1001011=>1101001=>0010110 [[1,2,4],[3,6],[5,7],[8]]=>0101011=>1101010=>0010101 [[1,2,3],[4,6],[5,7],[8]]=>0011011=>1101100=>0010011 [[1,3,5],[2,4],[6,7],[8]]=>1010101=>1010101=>0101010 [[1,2,5],[3,4],[6,7],[8]]=>0100101=>1010010=>0101101 [[1,3,4],[2,5],[6,7],[8]]=>1001101=>1011001=>0100110 [[1,2,4],[3,5],[6,7],[8]]=>0101101=>1011010=>0100101 [[1,2,3],[4,5],[6,7],[8]]=>0010101=>1010100=>0101011 [[1,6,8],[2,7],[3],[4],[5]]=>1111010=>0101111=>1010000 [[1,5,8],[2,7],[3],[4],[6]]=>1110100=>0010111=>1101000 [[1,4,8],[2,7],[3],[5],[6]]=>1101100=>0011011=>1100100 [[1,3,8],[2,7],[4],[5],[6]]=>1011100=>0011101=>1100010 [[1,2,8],[3,7],[4],[5],[6]]=>0111100=>0011110=>1100001 [[1,5,8],[2,6],[3],[4],[7]]=>1110110=>0110111=>1001000 [[1,4,8],[2,6],[3],[5],[7]]=>1101010=>0101011=>1010100 [[1,3,8],[2,6],[4],[5],[7]]=>1011010=>0101101=>1010010 [[1,2,8],[3,6],[4],[5],[7]]=>0111010=>0101110=>1010001 [[1,4,8],[2,5],[3],[6],[7]]=>1101110=>0111011=>1000100 [[1,3,8],[2,5],[4],[6],[7]]=>1010110=>0110101=>1001010 [[1,2,8],[3,5],[4],[6],[7]]=>0110110=>0110110=>1001001 [[1,3,8],[2,4],[5],[6],[7]]=>1011110=>0111101=>1000010 [[1,2,8],[3,4],[5],[6],[7]]=>0101110=>0111010=>1000101 [[1,6,7],[2,8],[3],[4],[5]]=>1111001=>1001111=>0110000 [[1,5,7],[2,8],[3],[4],[6]]=>1110101=>1010111=>0101000 [[1,4,7],[2,8],[3],[5],[6]]=>1101101=>1011011=>0100100 [[1,3,7],[2,8],[4],[5],[6]]=>1011101=>1011101=>0100010 [[1,2,7],[3,8],[4],[5],[6]]=>0111101=>1011110=>0100001 [[1,5,6],[2,8],[3],[4],[7]]=>1110010=>0100111=>1011000 [[1,4,6],[2,8],[3],[5],[7]]=>1101010=>0101011=>1010100 [[1,3,6],[2,8],[4],[5],[7]]=>1011010=>0101101=>1010010 [[1,2,6],[3,8],[4],[5],[7]]=>0111010=>0101110=>1010001 [[1,4,5],[2,8],[3],[6],[7]]=>1100110=>0110011=>1001100 [[1,3,5],[2,8],[4],[6],[7]]=>1010110=>0110101=>1001010 [[1,2,5],[3,8],[4],[6],[7]]=>0110110=>0110110=>1001001 [[1,3,4],[2,8],[5],[6],[7]]=>1001110=>0111001=>1000110 [[1,2,4],[3,8],[5],[6],[7]]=>0101110=>0111010=>1000101 [[1,2,3],[4,8],[5],[6],[7]]=>0011110=>0111100=>1000011 [[1,5,7],[2,6],[3],[4],[8]]=>1110101=>1010111=>0101000 [[1,4,7],[2,6],[3],[5],[8]]=>1101001=>1001011=>0110100 [[1,3,7],[2,6],[4],[5],[8]]=>1011001=>1001101=>0110010 [[1,2,7],[3,6],[4],[5],[8]]=>0111001=>1001110=>0110001 [[1,4,7],[2,5],[3],[6],[8]]=>1101101=>1011011=>0100100 [[1,3,7],[2,5],[4],[6],[8]]=>1010101=>1010101=>0101010 [[1,2,7],[3,5],[4],[6],[8]]=>0110101=>1010110=>0101001 [[1,3,7],[2,4],[5],[6],[8]]=>1011101=>1011101=>0100010 [[1,2,7],[3,4],[5],[6],[8]]=>0101101=>1011010=>0100101 [[1,5,6],[2,7],[3],[4],[8]]=>1110011=>1100111=>0011000 [[1,4,6],[2,7],[3],[5],[8]]=>1101011=>1101011=>0010100 [[1,3,6],[2,7],[4],[5],[8]]=>1011011=>1101101=>0010010 [[1,2,6],[3,7],[4],[5],[8]]=>0111011=>1101110=>0010001 [[1,4,5],[2,7],[3],[6],[8]]=>1100101=>1010011=>0101100 [[1,3,5],[2,7],[4],[6],[8]]=>1010101=>1010101=>0101010 [[1,2,5],[3,7],[4],[6],[8]]=>0110101=>1010110=>0101001 [[1,3,4],[2,7],[5],[6],[8]]=>1001101=>1011001=>0100110 [[1,2,4],[3,7],[5],[6],[8]]=>0101101=>1011010=>0100101 [[1,2,3],[4,7],[5],[6],[8]]=>0011101=>1011100=>0100011 [[1,4,6],[2,5],[3],[7],[8]]=>1101011=>1101011=>0010100 [[1,3,6],[2,5],[4],[7],[8]]=>1010011=>1100101=>0011010 [[1,2,6],[3,5],[4],[7],[8]]=>0110011=>1100110=>0011001 [[1,3,6],[2,4],[5],[7],[8]]=>1011011=>1101101=>0010010 [[1,2,6],[3,4],[5],[7],[8]]=>0101011=>1101010=>0010101 [[1,4,5],[2,6],[3],[7],[8]]=>1100111=>1110011=>0001100 [[1,3,5],[2,6],[4],[7],[8]]=>1010111=>1110101=>0001010 [[1,2,5],[3,6],[4],[7],[8]]=>0110111=>1110110=>0001001 [[1,3,4],[2,6],[5],[7],[8]]=>1001011=>1101001=>0010110 [[1,2,4],[3,6],[5],[7],[8]]=>0101011=>1101010=>0010101 [[1,2,3],[4,6],[5],[7],[8]]=>0011011=>1101100=>0010011 [[1,3,5],[2,4],[6],[7],[8]]=>1010111=>1110101=>0001010 [[1,2,5],[3,4],[6],[7],[8]]=>0100111=>1110010=>0001101 [[1,3,4],[2,5],[6],[7],[8]]=>1001111=>1111001=>0000110 [[1,2,4],[3,5],[6],[7],[8]]=>0101111=>1111010=>0000101 [[1,2,3],[4,5],[6],[7],[8]]=>0010111=>1110100=>0001011 [[1,7,8],[2],[3],[4],[5],[6]]=>1111100=>0011111=>1100000 [[1,6,8],[2],[3],[4],[5],[7]]=>1111010=>0101111=>1010000 [[1,5,8],[2],[3],[4],[6],[7]]=>1110110=>0110111=>1001000 [[1,4,8],[2],[3],[5],[6],[7]]=>1101110=>0111011=>1000100 [[1,3,8],[2],[4],[5],[6],[7]]=>1011110=>0111101=>1000010 [[1,2,8],[3],[4],[5],[6],[7]]=>0111110=>0111110=>1000001 [[1,6,7],[2],[3],[4],[5],[8]]=>1111001=>1001111=>0110000 [[1,5,7],[2],[3],[4],[6],[8]]=>1110101=>1010111=>0101000 [[1,4,7],[2],[3],[5],[6],[8]]=>1101101=>1011011=>0100100 [[1,3,7],[2],[4],[5],[6],[8]]=>1011101=>1011101=>0100010 [[1,2,7],[3],[4],[5],[6],[8]]=>0111101=>1011110=>0100001 [[1,5,6],[2],[3],[4],[7],[8]]=>1110011=>1100111=>0011000 [[1,4,6],[2],[3],[5],[7],[8]]=>1101011=>1101011=>0010100 [[1,3,6],[2],[4],[5],[7],[8]]=>1011011=>1101101=>0010010 [[1,2,6],[3],[4],[5],[7],[8]]=>0111011=>1101110=>0010001 [[1,4,5],[2],[3],[6],[7],[8]]=>1100111=>1110011=>0001100 [[1,3,5],[2],[4],[6],[7],[8]]=>1010111=>1110101=>0001010 [[1,2,5],[3],[4],[6],[7],[8]]=>0110111=>1110110=>0001001 [[1,3,4],[2],[5],[6],[7],[8]]=>1001111=>1111001=>0000110 [[1,2,4],[3],[5],[6],[7],[8]]=>0101111=>1111010=>0000101 [[1,2,3],[4],[5],[6],[7],[8]]=>0011111=>1111100=>0000011 [[1,5],[2,6],[3,7],[4,8]]=>1110111=>1110111=>0001000 [[1,4],[2,6],[3,7],[5,8]]=>1101011=>1101011=>0010100 [[1,3],[2,6],[4,7],[5,8]]=>1011011=>1101101=>0010010 [[1,2],[3,6],[4,7],[5,8]]=>0111011=>1101110=>0010001 [[1,4],[2,5],[3,7],[6,8]]=>1101101=>1011011=>0100100 [[1,3],[2,5],[4,7],[6,8]]=>1010101=>1010101=>0101010 [[1,2],[3,5],[4,7],[6,8]]=>0110101=>1010110=>0101001 [[1,3],[2,4],[5,7],[6,8]]=>1011101=>1011101=>0100010 [[1,2],[3,4],[5,7],[6,8]]=>0101101=>1011010=>0100101 [[1,4],[2,5],[3,6],[7,8]]=>1101110=>0111011=>1000100 [[1,3],[2,5],[4,6],[7,8]]=>1010110=>0110101=>1001010 [[1,2],[3,5],[4,6],[7,8]]=>0110110=>0110110=>1001001 [[1,3],[2,4],[5,6],[7,8]]=>1011010=>0101101=>1010010 [[1,2],[3,4],[5,6],[7,8]]=>0101010=>0101010=>1010101 [[1,6],[2,7],[3,8],[4],[5]]=>1111011=>1101111=>0010000 [[1,5],[2,7],[3,8],[4],[6]]=>1110101=>1010111=>0101000 [[1,4],[2,7],[3,8],[5],[6]]=>1101101=>1011011=>0100100 [[1,3],[2,7],[4,8],[5],[6]]=>1011101=>1011101=>0100010 [[1,2],[3,7],[4,8],[5],[6]]=>0111101=>1011110=>0100001 [[1,5],[2,6],[3,8],[4],[7]]=>1110110=>0110111=>1001000 [[1,4],[2,6],[3,8],[5],[7]]=>1101010=>0101011=>1010100 [[1,3],[2,6],[4,8],[5],[7]]=>1011010=>0101101=>1010010 [[1,2],[3,6],[4,8],[5],[7]]=>0111010=>0101110=>1010001 [[1,4],[2,5],[3,8],[6],[7]]=>1101110=>0111011=>1000100 [[1,3],[2,5],[4,8],[6],[7]]=>1010110=>0110101=>1001010 [[1,2],[3,5],[4,8],[6],[7]]=>0110110=>0110110=>1001001 [[1,3],[2,4],[5,8],[6],[7]]=>1011110=>0111101=>1000010 [[1,2],[3,4],[5,8],[6],[7]]=>0101110=>0111010=>1000101 [[1,5],[2,6],[3,7],[4],[8]]=>1110111=>1110111=>0001000 [[1,4],[2,6],[3,7],[5],[8]]=>1101011=>1101011=>0010100 [[1,3],[2,6],[4,7],[5],[8]]=>1011011=>1101101=>0010010 [[1,2],[3,6],[4,7],[5],[8]]=>0111011=>1101110=>0010001 [[1,4],[2,5],[3,7],[6],[8]]=>1101101=>1011011=>0100100 [[1,3],[2,5],[4,7],[6],[8]]=>1010101=>1010101=>0101010 [[1,2],[3,5],[4,7],[6],[8]]=>0110101=>1010110=>0101001 [[1,3],[2,4],[5,7],[6],[8]]=>1011101=>1011101=>0100010 [[1,2],[3,4],[5,7],[6],[8]]=>0101101=>1011010=>0100101 [[1,4],[2,5],[3,6],[7],[8]]=>1101111=>1111011=>0000100 [[1,3],[2,5],[4,6],[7],[8]]=>1010111=>1110101=>0001010 [[1,2],[3,5],[4,6],[7],[8]]=>0110111=>1110110=>0001001 [[1,3],[2,4],[5,6],[7],[8]]=>1011011=>1101101=>0010010 [[1,2],[3,4],[5,6],[7],[8]]=>0101011=>1101010=>0010101 [[1,7],[2,8],[3],[4],[5],[6]]=>1111101=>1011111=>0100000 [[1,6],[2,8],[3],[4],[5],[7]]=>1111010=>0101111=>1010000 [[1,5],[2,8],[3],[4],[6],[7]]=>1110110=>0110111=>1001000 [[1,4],[2,8],[3],[5],[6],[7]]=>1101110=>0111011=>1000100 [[1,3],[2,8],[4],[5],[6],[7]]=>1011110=>0111101=>1000010 [[1,2],[3,8],[4],[5],[6],[7]]=>0111110=>0111110=>1000001 [[1,6],[2,7],[3],[4],[5],[8]]=>1111011=>1101111=>0010000 [[1,5],[2,7],[3],[4],[6],[8]]=>1110101=>1010111=>0101000 [[1,4],[2,7],[3],[5],[6],[8]]=>1101101=>1011011=>0100100 [[1,3],[2,7],[4],[5],[6],[8]]=>1011101=>1011101=>0100010 [[1,2],[3,7],[4],[5],[6],[8]]=>0111101=>1011110=>0100001 [[1,5],[2,6],[3],[4],[7],[8]]=>1110111=>1110111=>0001000 [[1,4],[2,6],[3],[5],[7],[8]]=>1101011=>1101011=>0010100 [[1,3],[2,6],[4],[5],[7],[8]]=>1011011=>1101101=>0010010 [[1,2],[3,6],[4],[5],[7],[8]]=>0111011=>1101110=>0010001 [[1,4],[2,5],[3],[6],[7],[8]]=>1101111=>1111011=>0000100 [[1,3],[2,5],[4],[6],[7],[8]]=>1010111=>1110101=>0001010 [[1,2],[3,5],[4],[6],[7],[8]]=>0110111=>1110110=>0001001 [[1,3],[2,4],[5],[6],[7],[8]]=>1011111=>1111101=>0000010 [[1,2],[3,4],[5],[6],[7],[8]]=>0101111=>1111010=>0000101 [[1,8],[2],[3],[4],[5],[6],[7]]=>1111110=>0111111=>1000000 [[1,7],[2],[3],[4],[5],[6],[8]]=>1111101=>1011111=>0100000 [[1,6],[2],[3],[4],[5],[7],[8]]=>1111011=>1101111=>0010000 [[1,5],[2],[3],[4],[6],[7],[8]]=>1110111=>1110111=>0001000 [[1,4],[2],[3],[5],[6],[7],[8]]=>1101111=>1111011=>0000100 [[1,3],[2],[4],[5],[6],[7],[8]]=>1011111=>1111101=>0000010 [[1,2],[3],[4],[5],[6],[7],[8]]=>0111111=>1111110=>0000001 [[1],[2],[3],[4],[5],[6],[7],[8]]=>1111111=>1111111=>0000000 [[1,3,5,7,9],[2,4,6,8,10]]=>101010101=>101010101=>010101010 [[1,3,5,7,8],[2,4,6,9,10]]=>101010010=>010010101=>101101010 [[1,3,5,6,9],[2,4,7,8,10]]=>101001001=>100100101=>011011010 [[1,3,5,6,8],[2,4,7,9,10]]=>101001010=>010100101=>101011010 [[1,3,5,6,7],[2,4,8,9,10]]=>101000100=>001000101=>110111010 [[1,3,4,7,9],[2,5,6,8,10]]=>100100101=>101001001=>010110110 [[1,3,4,7,8],[2,5,6,9,10]]=>100100010=>010001001=>101110110 [[1,3,4,6,9],[2,5,7,8,10]]=>100101001=>100101001=>011010110 [[1,3,4,6,8],[2,5,7,9,10]]=>100101010=>010101001=>101010110 [[1,3,4,6,7],[2,5,8,9,10]]=>100100100=>001001001=>110110110 [[1,3,4,5,9],[2,6,7,8,10]]=>100010001=>100010001=>011101110 [[1,3,4,5,8],[2,6,7,9,10]]=>100010010=>010010001=>101101110 [[1,3,4,5,7],[2,6,8,9,10]]=>100010100=>001010001=>110101110 [[1,3,4,5,6],[2,7,8,9,10]]=>100001000=>000100001=>111011110 [[1,2,5,7,9],[3,4,6,8,10]]=>010010101=>101010010=>010101101 [[1,2,5,7,8],[3,4,6,9,10]]=>010010010=>010010010=>101101101 [[1,2,5,6,9],[3,4,7,8,10]]=>010001001=>100100010=>011011101 [[1,2,5,6,8],[3,4,7,9,10]]=>010001010=>010100010=>101011101 [[1,2,5,6,7],[3,4,8,9,10]]=>010000100=>001000010=>110111101 [[1,2,4,7,9],[3,5,6,8,10]]=>010100101=>101001010=>010110101 [[1,2,4,7,8],[3,5,6,9,10]]=>010100010=>010001010=>101110101 [[1,2,4,6,9],[3,5,7,8,10]]=>010101001=>100101010=>011010101 [[1,2,4,6,8],[3,5,7,9,10]]=>010101010=>010101010=>101010101 [[1,2,4,6,7],[3,5,8,9,10]]=>010100100=>001001010=>110110101 [[1,2,4,5,9],[3,6,7,8,10]]=>010010001=>100010010=>011101101 [[1,2,4,5,8],[3,6,7,9,10]]=>010010010=>010010010=>101101101 [[1,2,4,5,7],[3,6,8,9,10]]=>010010100=>001010010=>110101101 [[1,2,4,5,6],[3,7,8,9,10]]=>010001000=>000100010=>111011101 [[1,2,3,7,9],[4,5,6,8,10]]=>001000101=>101000100=>010111011 [[1,2,3,7,8],[4,5,6,9,10]]=>001000010=>010000100=>101111011 [[1,2,3,6,9],[4,5,7,8,10]]=>001001001=>100100100=>011011011 [[1,2,3,6,8],[4,5,7,9,10]]=>001001010=>010100100=>101011011 [[1,2,3,6,7],[4,5,8,9,10]]=>001000100=>001000100=>110111011 [[1,2,3,5,9],[4,6,7,8,10]]=>001010001=>100010100=>011101011 [[1,2,3,5,8],[4,6,7,9,10]]=>001010010=>010010100=>101101011 [[1,2,3,5,7],[4,6,8,9,10]]=>001010100=>001010100=>110101011 [[1,2,3,5,6],[4,7,8,9,10]]=>001001000=>000100100=>111011011 [[1,2,3,4,9],[5,6,7,8,10]]=>000100001=>100001000=>011110111 [[1,2,3,4,8],[5,6,7,9,10]]=>000100010=>010001000=>101110111 [[1,2,3,4,7],[5,6,8,9,10]]=>000100100=>001001000=>110110111 [[1,2,3,4,6],[5,7,8,9,10]]=>000101000=>000101000=>111010111 [[1,2,3,4,5],[6,7,8,9,10]]=>000010000=>000010000=>111101111 [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>10101010101=>10101010101=>01010101010 [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>10001000010=>01000010001=>10111101110 [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>10000100010=>01000100001=>10111011110 [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>01010101010=>01010101010=>10101010101 [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>00100101001=>10010100100=>01101011011 [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>00101001001=>10010010100=>01101101011 [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>00101010001=>10001010100=>01110101011 [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>00101010100=>00101010100=>11010101011 [[1,2,3,4,5,6,7,8,9]]=>00000000=>00000000=>11111111 [[1,2,3,4,5,6,7,8],[9]]=>00000001=>10000000=>01111111 [[1,2,3,4,5,6,7],[8,9]]=>00000010=>01000000=>10111111 [[1,2,3,4,5,6,7],[8],[9]]=>00000011=>11000000=>00111111 [[1,2,3,4,5,6],[7,8,9]]=>00000100=>00100000=>11011111 [[1,2,3,4,5,6],[7,8],[9]]=>00000101=>10100000=>01011111 [[1,2,3,4,5,6],[7],[8],[9]]=>00000111=>11100000=>00011111 [[1,2,3,4,5],[6,7,8,9]]=>00001000=>00010000=>11101111 [[1,2,3,4,5],[6,7,8],[9]]=>00001001=>10010000=>01101111 [[1,2,3,4,5],[6,7],[8,9]]=>00001010=>01010000=>10101111 [[1,2,3,4,5],[6,7],[8],[9]]=>00001011=>11010000=>00101111 [[1,2,3,4,5],[6],[7],[8],[9]]=>00001111=>11110000=>00001111 [[1,2,3,4],[5,6,7,8],[9]]=>00010001=>10001000=>01110111 [[1,2,3,4],[5,6,7],[8,9]]=>00010010=>01001000=>10110111 [[1,2,3,4],[5,6,7],[8],[9]]=>00010011=>11001000=>00110111 [[1,2,3,4],[5,6],[7,8],[9]]=>00010101=>10101000=>01010111 [[1,2,3,4],[5,6],[7],[8],[9]]=>00010111=>11101000=>00010111 [[1,2,3,4],[5],[6],[7],[8],[9]]=>00011111=>11111000=>00000111 [[1,2,3],[4,5,6],[7,8,9]]=>00100100=>00100100=>11011011 [[1,2,3],[4,5,6],[7,8],[9]]=>00100101=>10100100=>01011011 [[1,2,3],[4,5,6],[7],[8],[9]]=>00100111=>11100100=>00011011 [[1,2,3],[4,5],[6,7],[8,9]]=>00101010=>01010100=>10101011 [[1,2,3],[4,5],[6,7],[8],[9]]=>00101011=>11010100=>00101011 [[1,2,3],[4,5],[6],[7],[8],[9]]=>00101111=>11110100=>00001011 [[1,2,3],[4],[5],[6],[7],[8],[9]]=>00111111=>11111100=>00000011 [[1,2],[3,4],[5,6],[7,8],[9]]=>01010101=>10101010=>01010101 [[1,2],[3,4],[5,6],[7],[8],[9]]=>01010111=>11101010=>00010101 [[1,2],[3,4],[5],[6],[7],[8],[9]]=>01011111=>11111010=>00000101 [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>01111111=>11111110=>00000001 [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>11111111=>11111111=>00000000 [[1,2,3,4,5,6,7,8,9,10]]=>000000000=>000000000=>111111111 [[1,2,3,4,5,6,7,8,9],[10]]=>000000001=>100000000=>011111111 [[1,2,3,4,5,6,7,8],[9,10]]=>000000010=>010000000=>101111111 [[1,2,3,4,5,6,7,8],[9],[10]]=>000000011=>110000000=>001111111 [[1,2,3,4,5,6,7],[8,9,10]]=>000000100=>001000000=>110111111 [[1,2,3,4,5,6,7],[8,9],[10]]=>000000101=>101000000=>010111111 [[1,2,3,4,5,6,7],[8],[9],[10]]=>000000111=>111000000=>000111111 [[1,2,3,4,5,6],[7,8,9,10]]=>000001000=>000100000=>111011111 [[1,2,3,4,5,6],[7,8,9],[10]]=>000001001=>100100000=>011011111 [[1,2,3,4,5,6],[7,8],[9,10]]=>000001010=>010100000=>101011111 [[1,2,3,4,5,6],[7,8],[9],[10]]=>000001011=>110100000=>001011111 [[1,2,3,4,5,6],[7],[8],[9],[10]]=>000001111=>111100000=>000011111 [[1,2,3,4,5],[6,7,8,9],[10]]=>000010001=>100010000=>011101111 [[1,2,3,4,5],[6,7,8],[9,10]]=>000010010=>010010000=>101101111 [[1,2,3,4,5],[6,7,8],[9],[10]]=>000010011=>110010000=>001101111 [[1,2,3,4,5],[6,7],[8,9],[10]]=>000010101=>101010000=>010101111 [[1,2,3,4,5],[6,7],[8],[9],[10]]=>000010111=>111010000=>000101111 [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>000011111=>111110000=>000001111 [[1,2,3,4],[5,6,7,8],[9,10]]=>000100010=>010001000=>101110111 [[1,2,3,4],[5,6,7,8],[9],[10]]=>000100011=>110001000=>001110111 [[1,2,3,4],[5,6,7],[8,9,10]]=>000100100=>001001000=>110110111 [[1,2,3,4],[5,6,7],[8,9],[10]]=>000100101=>101001000=>010110111 [[1,2,3,4],[5,6,7],[8],[9],[10]]=>000100111=>111001000=>000110111 [[1,2,3,4],[5,6],[7,8],[9,10]]=>000101010=>010101000=>101010111 [[1,2,3,4],[5,6],[7,8],[9],[10]]=>000101011=>110101000=>001010111 [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>000101111=>111101000=>000010111 [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>000111111=>111111000=>000000111 [[1,2,3],[4,5,6],[7,8,9],[10]]=>001001001=>100100100=>011011011 [[1,2,3],[4,5,6],[7,8],[9,10]]=>001001010=>010100100=>101011011 [[1,2,3],[4,5,6],[7,8],[9],[10]]=>001001011=>110100100=>001011011 [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>001001111=>111100100=>000011011 [[1,2,3],[4,5],[6,7],[8,9],[10]]=>001010101=>101010100=>010101011 [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>001010111=>111010100=>000101011 [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>001011111=>111110100=>000001011 [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>001111111=>111111100=>000000011 [[1,2],[3,4],[5,6],[7,8],[9,10]]=>010101010=>010101010=>101010101 [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>010101011=>110101010=>001010101 [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>010101111=>111101010=>000010101 [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>010111111=>111111010=>000000101 [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>011111111=>111111110=>000000001 [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>111111111=>111111111=>000000000 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>01010101010=>01010101010=>10101010101 [[1,3,4,5,6,7,8,9],[2]]=>10000000=>00000001=>11111110 [[1,2,5,6,7,8,9],[3,4]]=>01000000=>00000010=>11111101 [[1,4,5,6,7,8,9],[2],[3]]=>11000000=>00000011=>11111100 [[1,2,3,7,8,9],[4,5,6]]=>00100000=>00000100=>11111011 [[1,3,6,7,8,9],[2,5],[4]]=>10100000=>00000101=>11111010 [[1,5,6,7,8,9],[2],[3],[4]]=>11100000=>00000111=>11111000 [[1,2,3,4,9],[5,6,7,8]]=>00010000=>00001000=>11110111 [[1,3,4,8,9],[2,6,7],[5]]=>10010000=>00001001=>11110110 [[1,2,7,8,9],[3,4],[5,6]]=>01010000=>00001010=>11110101 [[1,4,7,8,9],[2,6],[3],[5]]=>11010000=>00001011=>11110100 [[1,6,7,8,9],[2],[3],[4],[5]]=>11110000=>00001111=>11110000 [[1,3,4,5],[2,7,8,9],[6]]=>10001000=>00010001=>11101110 [[1,2,5,9],[3,4,8],[6,7]]=>01001000=>00010010=>11101101 [[1,4,5,9],[2,7,8],[3],[6]]=>11001000=>00010011=>11101100 [[1,3,8,9],[2,5],[4,7],[6]]=>10101000=>00010101=>11101010 [[1,5,8,9],[2,7],[3],[4],[6]]=>11101000=>00010111=>11101000 [[1,7,8,9],[2],[3],[4],[5],[6]]=>11111000=>00011111=>11100000 [[1,3,6],[2,5,9],[4,8],[7]]=>10100100=>00100101=>11011010 [[1,5,6],[2,8,9],[3],[4],[7]]=>11100100=>00100111=>11011000 [[1,2,9],[3,4],[5,6],[7,8]]=>01010100=>00101010=>11010101 [[1,4,9],[2,6],[3,8],[5],[7]]=>11010100=>00101011=>11010100 [[1,6,9],[2,8],[3],[4],[5],[7]]=>11110100=>00101111=>11010000 [[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100=>00111111=>11000000 [[1,3],[2,5],[4,7],[6,9],[8]]=>10101010=>01010101=>10101010 [[1,5],[2,7],[3,9],[4],[6],[8]]=>11101010=>01010111=>10101000 [[1,7],[2,9],[3],[4],[5],[6],[8]]=>11111010=>01011111=>10100000 [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110=>01111111=>10000000 [[1,3,4,5,6,7,8,9,10],[2]]=>100000000=>000000001=>111111110 [[1,2,5,6,7,8,9,10],[3,4]]=>010000000=>000000010=>111111101 [[1,4,5,6,7,8,9,10],[2],[3]]=>110000000=>000000011=>111111100 [[1,2,3,7,8,9,10],[4,5,6]]=>001000000=>000000100=>111111011 [[1,3,6,7,8,9,10],[2,5],[4]]=>101000000=>000000101=>111111010 [[1,5,6,7,8,9,10],[2],[3],[4]]=>111000000=>000000111=>111111000 [[1,2,3,4,9,10],[5,6,7,8]]=>000100000=>000001000=>111110111 [[1,3,4,8,9,10],[2,6,7],[5]]=>100100000=>000001001=>111110110 [[1,2,7,8,9,10],[3,4],[5,6]]=>010100000=>000001010=>111110101 [[1,4,7,8,9,10],[2,6],[3],[5]]=>110100000=>000001011=>111110100 [[1,6,7,8,9,10],[2],[3],[4],[5]]=>111100000=>000001111=>111110000 [[1,3,4,5,10],[2,7,8,9],[6]]=>100010000=>000010001=>111101110 [[1,2,5,9,10],[3,4,8],[6,7]]=>010010000=>000010010=>111101101 [[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000=>000010011=>111101100 [[1,3,8,9,10],[2,5],[4,7],[6]]=>101010000=>000010101=>111101010 [[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000=>000010111=>111101000 [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>111110000=>000011111=>111100000 [[1,2,5,6],[3,4,9,10],[7,8]]=>010001000=>000100010=>111011101 [[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000=>000100011=>111011100 [[1,2,3,10],[4,5,6],[7,8,9]]=>001001000=>000100100=>111011011 [[1,3,6,10],[2,5,9],[4,8],[7]]=>101001000=>000100101=>111011010 [[1,5,6,10],[2,8,9],[3],[4],[7]]=>111001000=>000100111=>111011000 [[1,2,9,10],[3,4],[5,6],[7,8]]=>010101000=>000101010=>111010101 [[1,4,9,10],[2,6],[3,8],[5],[7]]=>110101000=>000101011=>111010100 [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>111101000=>000101111=>111010000 [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>111111000=>000111111=>111000000 [[1,3,4],[2,6,7],[5,9,10],[8]]=>100100100=>001001001=>110110110 [[1,2,7],[3,4,10],[5,6],[8,9]]=>010100100=>001001010=>110110101 [[1,4,7],[2,6,10],[3,9],[5],[8]]=>110100100=>001001011=>110110100 [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100=>001001111=>110110000 [[1,3,10],[2,5],[4,7],[6,9],[8]]=>101010100=>001010101=>110101010 [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>111010100=>001010111=>110101000 [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>111110100=>001011111=>110100000 [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>111111100=>001111111=>110000000 [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>110101010=>010101011=>101010100 [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>111101010=>010101111=>101010000 [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010=>010111111=>101000000 [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110=>011111111=>100000000 [[1,8],[2,9],[3],[4],[5],[6],[7]]=>11111101=>10111111=>01000000 [[1,7],[2,8],[3,9],[4],[5],[6]]=>11111011=>11011111=>00100000 [[1,7,9],[2,8],[3],[4],[5],[6]]=>11111010=>01011111=>10100000 [[1,6],[2,7],[3,8],[4,9],[5]]=>11110111=>11101111=>00010000 [[1,6,9],[2,7],[3,8],[4],[5]]=>11110110=>01101111=>10010000 [[1,6,8],[2,7,9],[3],[4],[5]]=>11110101=>10101111=>01010000 [[1,6,8,9],[2,7],[3],[4],[5]]=>11110100=>00101111=>11010000 [[1,5,9],[2,6],[3,7],[4,8]]=>11101110=>01110111=>10001000 [[1,5,8],[2,6,9],[3,7],[4]]=>11101101=>10110111=>01001000 [[1,5,8,9],[2,6],[3,7],[4]]=>11101100=>00110111=>11001000 [[1,5,7,9],[2,6,8],[3],[4]]=>11101010=>01010111=>10101000 [[1,5,7,8,9],[2,6],[3],[4]]=>11101000=>00010111=>11101000 [[1,4,7],[2,5,8],[3,6,9]]=>11011011=>11011011=>00100100 [[1,4,7,9],[2,5,8],[3,6]]=>11011010=>01011011=>10100100 [[1,4,7,8,9],[2,5],[3,6]]=>11011000=>00011011=>11100100 [[1,4,6,8],[2,5,7,9],[3]]=>11010101=>10101011=>01010100 [[1,4,6,8,9],[2,5,7],[3]]=>11010100=>00101011=>11010100 [[1,4,6,7,8,9],[2,5],[3]]=>11010000=>00001011=>11110100 [[1,3,5,7,9],[2,4,6,8]]=>10101010=>01010101=>10101010 [[1,3,5,7,8,9],[2,4,6]]=>10101000=>00010101=>11101010 [[1,3,5,6,7,8,9],[2,4]]=>10100000=>00000101=>11111010 [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>111111101=>101111111=>010000000 [[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>111111011=>110111111=>001000000 [[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>111111010=>010111111=>101000000 [[1,7],[2,8],[3,9],[4,10],[5],[6]]=>111110111=>111011111=>000100000 [[1,7,10],[2,8],[3,9],[4],[5],[6]]=>111110110=>011011111=>100100000 [[1,7,9],[2,8,10],[3],[4],[5],[6]]=>111110101=>101011111=>010100000 [[1,7,9,10],[2,8],[3],[4],[5],[6]]=>111110100=>001011111=>110100000 [[1,6],[2,7],[3,8],[4,9],[5,10]]=>111101111=>111101111=>000010000 [[1,6,10],[2,7],[3,8],[4,9],[5]]=>111101110=>011101111=>100010000 [[1,6,9],[2,7,10],[3,8],[4],[5]]=>111101101=>101101111=>010010000 [[1,6,9,10],[2,7],[3,8],[4],[5]]=>111101100=>001101111=>110010000 [[1,6,8,10],[2,7,9],[3],[4],[5]]=>111101010=>010101111=>101010000 [[1,6,8,9,10],[2,7],[3],[4],[5]]=>111101000=>000101111=>111010000 [[1,5,9],[2,6,10],[3,7],[4,8]]=>111011101=>101110111=>010001000 [[1,5,9,10],[2,6],[3,7],[4,8]]=>111011100=>001110111=>110001000 [[1,5,8],[2,6,9],[3,7,10],[4]]=>111011011=>110110111=>001001000 [[1,5,8,10],[2,6,9],[3,7],[4]]=>111011010=>010110111=>101001000 [[1,5,8,9,10],[2,6],[3,7],[4]]=>111011000=>000110111=>111001000 [[1,5,7,9],[2,6,8,10],[3],[4]]=>111010101=>101010111=>010101000 [[1,5,7,9,10],[2,6,8],[3],[4]]=>111010100=>001010111=>110101000 [[1,5,7,8,9,10],[2,6],[3],[4]]=>111010000=>000010111=>111101000 [[1,4,7,10],[2,5,8],[3,6,9]]=>110110110=>011011011=>100100100 [[1,4,7,9],[2,5,8,10],[3,6]]=>110110101=>101011011=>010100100 [[1,4,7,9,10],[2,5,8],[3,6]]=>110110100=>001011011=>110100100 [[1,4,7,8,9,10],[2,5],[3,6]]=>110110000=>000011011=>111100100 [[1,4,6,8,10],[2,5,7,9],[3]]=>110101010=>010101011=>101010100 [[1,4,6,8,9,10],[2,5,7],[3]]=>110101000=>000101011=>111010100 [[1,4,6,7,8,9,10],[2,5],[3]]=>110100000=>000001011=>111110100 [[1,3,5,7,9,10],[2,4,6,8]]=>101010100=>001010101=>110101010 [[1,3,5,7,8,9,10],[2,4,6]]=>101010000=>000010101=>111101010 [[1,3,5,6,7,8,9,10],[2,4]]=>101000000=>000000101=>111111010 [[1,3],[2,4],[5],[6],[7],[8],[9]]=>10111111=>11111101=>00000010 [[1,4],[2,5],[3,6],[7],[8],[9]]=>11011111=>11111011=>00000100 [[1,2,4],[3,5],[6],[7],[8],[9]]=>01011111=>11111010=>00000101 [[1,5],[2,6],[3,7],[4,8],[9]]=>11101111=>11110111=>00001000 [[1,2,5],[3,6],[4,7],[8],[9]]=>01101111=>11110110=>00001001 [[1,3,5],[2,4,6],[7],[8],[9]]=>10101111=>11110101=>00001010 [[1,2,3,5],[4,6],[7],[8],[9]]=>00101111=>11110100=>00001011 [[1,2,6],[3,7],[4,8],[5,9]]=>01110111=>11101110=>00010001 [[1,3,6],[2,4,7],[5,8],[9]]=>10110111=>11101101=>00010010 [[1,2,3,6],[4,7],[5,8],[9]]=>00110111=>11101100=>00010011 [[1,2,4,6],[3,5,7],[8],[9]]=>01010111=>11101010=>00010101 [[1,2,3,4,6],[5,7],[8],[9]]=>00010111=>11101000=>00010111 [[1,2,4,7],[3,5,8],[6,9]]=>01011011=>11011010=>00100101 [[1,2,3,4,7],[5,8],[6,9]]=>00011011=>11011000=>00100111 [[1,3,5,7],[2,4,6,8],[9]]=>10101011=>11010101=>00101010 [[1,2,3,5,7],[4,6,8],[9]]=>00101011=>11010100=>00101011 [[1,2,3,4,5,7],[6,8],[9]]=>00001011=>11010000=>00101111 [[1,2,4,6,8],[3,5,7,9]]=>01010101=>10101010=>01010101 [[1,2,3,4,6,8],[5,7,9]]=>00010101=>10101000=>01010111 [[1,2,3,4,5,6,8],[7,9]]=>00000101=>10100000=>01011111 [[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>101111111=>111111101=>000000010 [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>110111111=>111111011=>000000100 [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>010111111=>111111010=>000000101 [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>111011111=>111110111=>000001000 [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>011011111=>111110110=>000001001 [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>101011111=>111110101=>000001010 [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>001011111=>111110100=>000001011 [[1,2,6],[3,7],[4,8],[5,9],[10]]=>011101111=>111101110=>000010001 [[1,3,6],[2,4,7],[5,8],[9],[10]]=>101101111=>111101101=>000010010 [[1,2,3,6],[4,7],[5,8],[9],[10]]=>001101111=>111101100=>000010011 [[1,2,4,6],[3,5,7],[8],[9],[10]]=>010101111=>111101010=>000010101 [[1,2,3,4,6],[5,7],[8],[9],[10]]=>000101111=>111101000=>000010111 [[1,3,7],[2,4,8],[5,9],[6,10]]=>101110111=>111011101=>000100010 [[1,2,3,7],[4,8],[5,9],[6,10]]=>001110111=>111011100=>000100011 [[1,4,7],[2,5,8],[3,6,9],[10]]=>110110111=>111011011=>000100100 [[1,2,4,7],[3,5,8],[6,9],[10]]=>010110111=>111011010=>000100101 [[1,2,3,4,7],[5,8],[6,9],[10]]=>000110111=>111011000=>000100111 [[1,3,5,7],[2,4,6,8],[9],[10]]=>101010111=>111010101=>000101010 [[1,2,3,5,7],[4,6,8],[9],[10]]=>001010111=>111010100=>000101011 [[1,2,3,4,5,7],[6,8],[9],[10]]=>000010111=>111010000=>000101111 [[1,2,5,8],[3,6,9],[4,7,10]]=>011011011=>110110110=>001001001 [[1,3,5,8],[2,4,6,9],[7,10]]=>101011011=>110110101=>001001010 [[1,2,3,5,8],[4,6,9],[7,10]]=>001011011=>110110100=>001001011 [[1,2,3,4,5,8],[6,9],[7,10]]=>000011011=>110110000=>001001111 [[1,2,4,6,8],[3,5,7,9],[10]]=>010101011=>110101010=>001010101 [[1,2,3,4,6,8],[5,7,9],[10]]=>000101011=>110101000=>001010111 [[1,2,3,4,5,6,8],[7,9],[10]]=>000001011=>110100000=>001011111 [[1,2,3,5,7,9],[4,6,8,10]]=>001010101=>101010100=>010101011 [[1,2,3,4,5,7,9],[6,8,10]]=>000010101=>101010000=>010101111 [[1,2,3,4,5,6,7,9],[8,10]]=>000000101=>101000000=>010111111 [[1,2],[3,4],[5,6],[7,9],[8,10]]=>010101101=>101101010=>010010101 [[1,2],[3,4],[5,7],[6,8],[9,10]]=>010110110=>011011010=>100100101 [[1,2],[3,4],[5,7],[6,9],[8,10]]=>010110101=>101011010=>010100101 [[1,2],[3,4],[5,8],[6,9],[7,10]]=>010111011=>110111010=>001000101 [[1,2],[3,5],[4,6],[7,8],[9,10]]=>011011010=>010110110=>101001001 [[1,2],[3,5],[4,6],[7,9],[8,10]]=>011011101=>101110110=>010001001 [[1,2],[3,5],[4,7],[6,8],[9,10]]=>011010110=>011010110=>100101001 [[1,2],[3,5],[4,7],[6,9],[8,10]]=>011010101=>101010110=>010101001 [[1,2],[3,5],[4,8],[6,9],[7,10]]=>011011011=>110110110=>001001001 [[1,2],[3,6],[4,7],[5,8],[9,10]]=>011101110=>011101110=>100010001 [[1,2],[3,6],[4,7],[5,9],[8,10]]=>011101101=>101101110=>010010001 [[1,2],[3,6],[4,8],[5,9],[7,10]]=>011101011=>110101110=>001010001 [[1,2],[3,7],[4,8],[5,9],[6,10]]=>011110111=>111011110=>000100001 [[1,3],[2,4],[5,6],[7,8],[9,10]]=>101101010=>010101101=>101010010 [[1,3],[2,4],[5,6],[7,9],[8,10]]=>101101101=>101101101=>010010010 [[1,3],[2,4],[5,7],[6,8],[9,10]]=>101110110=>011011101=>100100010 [[1,3],[2,4],[5,7],[6,9],[8,10]]=>101110101=>101011101=>010100010 [[1,3],[2,4],[5,8],[6,9],[7,10]]=>101111011=>110111101=>001000010 [[1,3],[2,5],[4,6],[7,8],[9,10]]=>101011010=>010110101=>101001010 [[1,3],[2,5],[4,6],[7,9],[8,10]]=>101011101=>101110101=>010001010 [[1,3],[2,5],[4,7],[6,8],[9,10]]=>101010110=>011010101=>100101010 [[1,3],[2,5],[4,7],[6,9],[8,10]]=>101010101=>101010101=>010101010 [[1,3],[2,5],[4,8],[6,9],[7,10]]=>101011011=>110110101=>001001010 [[1,3],[2,6],[4,7],[5,8],[9,10]]=>101101110=>011101101=>100010010 [[1,3],[2,6],[4,7],[5,9],[8,10]]=>101101101=>101101101=>010010010 [[1,3],[2,6],[4,8],[5,9],[7,10]]=>101101011=>110101101=>001010010 [[1,3],[2,7],[4,8],[5,9],[6,10]]=>101110111=>111011101=>000100010 [[1,4],[2,5],[3,6],[7,8],[9,10]]=>110111010=>010111011=>101000100 [[1,4],[2,5],[3,6],[7,9],[8,10]]=>110111101=>101111011=>010000100 [[1,4],[2,5],[3,7],[6,8],[9,10]]=>110110110=>011011011=>100100100 [[1,4],[2,5],[3,7],[6,9],[8,10]]=>110110101=>101011011=>010100100 [[1,4],[2,5],[3,8],[6,9],[7,10]]=>110111011=>110111011=>001000100 [[1,4],[2,6],[3,7],[5,8],[9,10]]=>110101110=>011101011=>100010100 [[1,4],[2,6],[3,7],[5,9],[8,10]]=>110101101=>101101011=>010010100 [[1,4],[2,6],[3,8],[5,9],[7,10]]=>110101011=>110101011=>001010100 [[1,4],[2,7],[3,8],[5,9],[6,10]]=>110110111=>111011011=>000100100 [[1,5],[2,6],[3,7],[4,8],[9,10]]=>111011110=>011110111=>100001000 [[1,5],[2,6],[3,7],[4,9],[8,10]]=>111011101=>101110111=>010001000 [[1,5],[2,6],[3,8],[4,9],[7,10]]=>111011011=>110110111=>001001000 [[1,5],[2,7],[3,8],[4,9],[6,10]]=>111010111=>111010111=>000101000 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>01010101101=>10110101010=>01001010101 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>01010110101=>10101101010=>01010010101 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>01011010101=>10101011010=>01010100101 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>01101010101=>10101010110=>01010101001 [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>10111101110=>01110111101=>10001000010 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>10101010110=>01101010101=>10010101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>10101010101=>10101010101=>01010101010 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>10111011110=>01111011101=>10000100010