Identifier
Images
=>
Cc0007;cc-rep-0
[]=>
[[1]]=>
[[1,2]]=>0
[[1],[2]]=>1
[[1,2,3]]=>00
[[1,3],[2]]=>10
[[1,2],[3]]=>01
[[1],[2],[3]]=>11
[[1,2,3,4]]=>000
[[1,3,4],[2]]=>100
[[1,2,4],[3]]=>010
[[1,2,3],[4]]=>001
[[1,3],[2,4]]=>101
[[1,2],[3,4]]=>010
[[1,4],[2],[3]]=>110
[[1,3],[2],[4]]=>101
[[1,2],[3],[4]]=>011
[[1],[2],[3],[4]]=>111
[[1,2,3,4,5]]=>0000
[[1,3,4,5],[2]]=>1000
[[1,2,4,5],[3]]=>0100
[[1,2,3,5],[4]]=>0010
[[1,2,3,4],[5]]=>0001
[[1,3,5],[2,4]]=>1010
[[1,2,5],[3,4]]=>0100
[[1,3,4],[2,5]]=>1001
[[1,2,4],[3,5]]=>0101
[[1,2,3],[4,5]]=>0010
[[1,4,5],[2],[3]]=>1100
[[1,3,5],[2],[4]]=>1010
[[1,2,5],[3],[4]]=>0110
[[1,3,4],[2],[5]]=>1001
[[1,2,4],[3],[5]]=>0101
[[1,2,3],[4],[5]]=>0011
[[1,4],[2,5],[3]]=>1101
[[1,3],[2,5],[4]]=>1010
[[1,2],[3,5],[4]]=>0110
[[1,3],[2,4],[5]]=>1011
[[1,2],[3,4],[5]]=>0101
[[1,5],[2],[3],[4]]=>1110
[[1,4],[2],[3],[5]]=>1101
[[1,3],[2],[4],[5]]=>1011
[[1,2],[3],[4],[5]]=>0111
[[1],[2],[3],[4],[5]]=>1111
[[1,2,3,4,5,6]]=>00000
[[1,3,4,5,6],[2]]=>10000
[[1,2,4,5,6],[3]]=>01000
[[1,2,3,5,6],[4]]=>00100
[[1,2,3,4,6],[5]]=>00010
[[1,2,3,4,5],[6]]=>00001
[[1,3,5,6],[2,4]]=>10100
[[1,2,5,6],[3,4]]=>01000
[[1,3,4,6],[2,5]]=>10010
[[1,2,4,6],[3,5]]=>01010
[[1,2,3,6],[4,5]]=>00100
[[1,3,4,5],[2,6]]=>10001
[[1,2,4,5],[3,6]]=>01001
[[1,2,3,5],[4,6]]=>00101
[[1,2,3,4],[5,6]]=>00010
[[1,4,5,6],[2],[3]]=>11000
[[1,3,5,6],[2],[4]]=>10100
[[1,2,5,6],[3],[4]]=>01100
[[1,3,4,6],[2],[5]]=>10010
[[1,2,4,6],[3],[5]]=>01010
[[1,2,3,6],[4],[5]]=>00110
[[1,3,4,5],[2],[6]]=>10001
[[1,2,4,5],[3],[6]]=>01001
[[1,2,3,5],[4],[6]]=>00101
[[1,2,3,4],[5],[6]]=>00011
[[1,3,5],[2,4,6]]=>10101
[[1,2,5],[3,4,6]]=>01001
[[1,3,4],[2,5,6]]=>10010
[[1,2,4],[3,5,6]]=>01010
[[1,2,3],[4,5,6]]=>00100
[[1,4,6],[2,5],[3]]=>11010
[[1,3,6],[2,5],[4]]=>10100
[[1,2,6],[3,5],[4]]=>01100
[[1,3,6],[2,4],[5]]=>10110
[[1,2,6],[3,4],[5]]=>01010
[[1,4,5],[2,6],[3]]=>11001
[[1,3,5],[2,6],[4]]=>10101
[[1,2,5],[3,6],[4]]=>01101
[[1,3,4],[2,6],[5]]=>10010
[[1,2,4],[3,6],[5]]=>01010
[[1,2,3],[4,6],[5]]=>00110
[[1,3,5],[2,4],[6]]=>10101
[[1,2,5],[3,4],[6]]=>01001
[[1,3,4],[2,5],[6]]=>10011
[[1,2,4],[3,5],[6]]=>01011
[[1,2,3],[4,5],[6]]=>00101
[[1,5,6],[2],[3],[4]]=>11100
[[1,4,6],[2],[3],[5]]=>11010
[[1,3,6],[2],[4],[5]]=>10110
[[1,2,6],[3],[4],[5]]=>01110
[[1,4,5],[2],[3],[6]]=>11001
[[1,3,5],[2],[4],[6]]=>10101
[[1,2,5],[3],[4],[6]]=>01101
[[1,3,4],[2],[5],[6]]=>10011
[[1,2,4],[3],[5],[6]]=>01011
[[1,2,3],[4],[5],[6]]=>00111
[[1,4],[2,5],[3,6]]=>11011
[[1,3],[2,5],[4,6]]=>10101
[[1,2],[3,5],[4,6]]=>01101
[[1,3],[2,4],[5,6]]=>10110
[[1,2],[3,4],[5,6]]=>01010
[[1,5],[2,6],[3],[4]]=>11101
[[1,4],[2,6],[3],[5]]=>11010
[[1,3],[2,6],[4],[5]]=>10110
[[1,2],[3,6],[4],[5]]=>01110
[[1,4],[2,5],[3],[6]]=>11011
[[1,3],[2,5],[4],[6]]=>10101
[[1,2],[3,5],[4],[6]]=>01101
[[1,3],[2,4],[5],[6]]=>10111
[[1,2],[3,4],[5],[6]]=>01011
[[1,6],[2],[3],[4],[5]]=>11110
[[1,5],[2],[3],[4],[6]]=>11101
[[1,4],[2],[3],[5],[6]]=>11011
[[1,3],[2],[4],[5],[6]]=>10111
[[1,2],[3],[4],[5],[6]]=>01111
[[1],[2],[3],[4],[5],[6]]=>11111
[[1,2,3,4,5,6,7]]=>000000
[[1,3,4,5,6,7],[2]]=>100000
[[1,2,4,5,6,7],[3]]=>010000
[[1,2,3,5,6,7],[4]]=>001000
[[1,2,3,4,6,7],[5]]=>000100
[[1,2,3,4,5,7],[6]]=>000010
[[1,2,3,4,5,6],[7]]=>000001
[[1,3,5,6,7],[2,4]]=>101000
[[1,2,5,6,7],[3,4]]=>010000
[[1,3,4,6,7],[2,5]]=>100100
[[1,2,4,6,7],[3,5]]=>010100
[[1,2,3,6,7],[4,5]]=>001000
[[1,3,4,5,7],[2,6]]=>100010
[[1,2,4,5,7],[3,6]]=>010010
[[1,2,3,5,7],[4,6]]=>001010
[[1,2,3,4,7],[5,6]]=>000100
[[1,3,4,5,6],[2,7]]=>100001
[[1,2,4,5,6],[3,7]]=>010001
[[1,2,3,5,6],[4,7]]=>001001
[[1,2,3,4,6],[5,7]]=>000101
[[1,2,3,4,5],[6,7]]=>000010
[[1,4,5,6,7],[2],[3]]=>110000
[[1,3,5,6,7],[2],[4]]=>101000
[[1,2,5,6,7],[3],[4]]=>011000
[[1,3,4,6,7],[2],[5]]=>100100
[[1,2,4,6,7],[3],[5]]=>010100
[[1,2,3,6,7],[4],[5]]=>001100
[[1,3,4,5,7],[2],[6]]=>100010
[[1,2,4,5,7],[3],[6]]=>010010
[[1,2,3,5,7],[4],[6]]=>001010
[[1,2,3,4,7],[5],[6]]=>000110
[[1,3,4,5,6],[2],[7]]=>100001
[[1,2,4,5,6],[3],[7]]=>010001
[[1,2,3,5,6],[4],[7]]=>001001
[[1,2,3,4,6],[5],[7]]=>000101
[[1,2,3,4,5],[6],[7]]=>000011
[[1,3,5,7],[2,4,6]]=>101010
[[1,2,5,7],[3,4,6]]=>010010
[[1,3,4,7],[2,5,6]]=>100100
[[1,2,4,7],[3,5,6]]=>010100
[[1,2,3,7],[4,5,6]]=>001000
[[1,3,5,6],[2,4,7]]=>101001
[[1,2,5,6],[3,4,7]]=>010001
[[1,3,4,6],[2,5,7]]=>100101
[[1,2,4,6],[3,5,7]]=>010101
[[1,2,3,6],[4,5,7]]=>001001
[[1,3,4,5],[2,6,7]]=>100010
[[1,2,4,5],[3,6,7]]=>010010
[[1,2,3,5],[4,6,7]]=>001010
[[1,2,3,4],[5,6,7]]=>000100
[[1,4,6,7],[2,5],[3]]=>110100
[[1,3,6,7],[2,5],[4]]=>101000
[[1,2,6,7],[3,5],[4]]=>011000
[[1,3,6,7],[2,4],[5]]=>101100
[[1,2,6,7],[3,4],[5]]=>010100
[[1,4,5,7],[2,6],[3]]=>110010
[[1,3,5,7],[2,6],[4]]=>101010
[[1,2,5,7],[3,6],[4]]=>011010
[[1,3,4,7],[2,6],[5]]=>100100
[[1,2,4,7],[3,6],[5]]=>010100
[[1,2,3,7],[4,6],[5]]=>001100
[[1,3,5,7],[2,4],[6]]=>101010
[[1,2,5,7],[3,4],[6]]=>010010
[[1,3,4,7],[2,5],[6]]=>100110
[[1,2,4,7],[3,5],[6]]=>010110
[[1,2,3,7],[4,5],[6]]=>001010
[[1,4,5,6],[2,7],[3]]=>110001
[[1,3,5,6],[2,7],[4]]=>101001
[[1,2,5,6],[3,7],[4]]=>011001
[[1,3,4,6],[2,7],[5]]=>100101
[[1,2,4,6],[3,7],[5]]=>010101
[[1,2,3,6],[4,7],[5]]=>001101
[[1,3,4,5],[2,7],[6]]=>100010
[[1,2,4,5],[3,7],[6]]=>010010
[[1,2,3,5],[4,7],[6]]=>001010
[[1,2,3,4],[5,7],[6]]=>000110
[[1,3,5,6],[2,4],[7]]=>101001
[[1,2,5,6],[3,4],[7]]=>010001
[[1,3,4,6],[2,5],[7]]=>100101
[[1,2,4,6],[3,5],[7]]=>010101
[[1,2,3,6],[4,5],[7]]=>001001
[[1,3,4,5],[2,6],[7]]=>100011
[[1,2,4,5],[3,6],[7]]=>010011
[[1,2,3,5],[4,6],[7]]=>001011
[[1,2,3,4],[5,6],[7]]=>000101
[[1,5,6,7],[2],[3],[4]]=>111000
[[1,4,6,7],[2],[3],[5]]=>110100
[[1,3,6,7],[2],[4],[5]]=>101100
[[1,2,6,7],[3],[4],[5]]=>011100
[[1,4,5,7],[2],[3],[6]]=>110010
[[1,3,5,7],[2],[4],[6]]=>101010
[[1,2,5,7],[3],[4],[6]]=>011010
[[1,3,4,7],[2],[5],[6]]=>100110
[[1,2,4,7],[3],[5],[6]]=>010110
[[1,2,3,7],[4],[5],[6]]=>001110
[[1,4,5,6],[2],[3],[7]]=>110001
[[1,3,5,6],[2],[4],[7]]=>101001
[[1,2,5,6],[3],[4],[7]]=>011001
[[1,3,4,6],[2],[5],[7]]=>100101
[[1,2,4,6],[3],[5],[7]]=>010101
[[1,2,3,6],[4],[5],[7]]=>001101
[[1,3,4,5],[2],[6],[7]]=>100011
[[1,2,4,5],[3],[6],[7]]=>010011
[[1,2,3,5],[4],[6],[7]]=>001011
[[1,2,3,4],[5],[6],[7]]=>000111
[[1,4,6],[2,5,7],[3]]=>110101
[[1,3,6],[2,5,7],[4]]=>101001
[[1,2,6],[3,5,7],[4]]=>011001
[[1,3,6],[2,4,7],[5]]=>101101
[[1,2,6],[3,4,7],[5]]=>010101
[[1,4,5],[2,6,7],[3]]=>110010
[[1,3,5],[2,6,7],[4]]=>101010
[[1,2,5],[3,6,7],[4]]=>011010
[[1,3,4],[2,6,7],[5]]=>100100
[[1,2,4],[3,6,7],[5]]=>010100
[[1,2,3],[4,6,7],[5]]=>001100
[[1,3,5],[2,4,7],[6]]=>101010
[[1,2,5],[3,4,7],[6]]=>010010
[[1,3,4],[2,5,7],[6]]=>100110
[[1,2,4],[3,5,7],[6]]=>010110
[[1,2,3],[4,5,7],[6]]=>001010
[[1,3,5],[2,4,6],[7]]=>101011
[[1,2,5],[3,4,6],[7]]=>010011
[[1,3,4],[2,5,6],[7]]=>100101
[[1,2,4],[3,5,6],[7]]=>010101
[[1,2,3],[4,5,6],[7]]=>001001
[[1,4,7],[2,5],[3,6]]=>110110
[[1,3,7],[2,5],[4,6]]=>101010
[[1,2,7],[3,5],[4,6]]=>011010
[[1,3,7],[2,4],[5,6]]=>101100
[[1,2,7],[3,4],[5,6]]=>010100
[[1,4,6],[2,5],[3,7]]=>110101
[[1,3,6],[2,5],[4,7]]=>101001
[[1,2,6],[3,5],[4,7]]=>011001
[[1,3,6],[2,4],[5,7]]=>101101
[[1,2,6],[3,4],[5,7]]=>010101
[[1,4,5],[2,6],[3,7]]=>110011
[[1,3,5],[2,6],[4,7]]=>101011
[[1,2,5],[3,6],[4,7]]=>011011
[[1,3,4],[2,6],[5,7]]=>100101
[[1,2,4],[3,6],[5,7]]=>010101
[[1,2,3],[4,6],[5,7]]=>001101
[[1,3,5],[2,4],[6,7]]=>101010
[[1,2,5],[3,4],[6,7]]=>010010
[[1,3,4],[2,5],[6,7]]=>100110
[[1,2,4],[3,5],[6,7]]=>010110
[[1,2,3],[4,5],[6,7]]=>001010
[[1,5,7],[2,6],[3],[4]]=>111010
[[1,4,7],[2,6],[3],[5]]=>110100
[[1,3,7],[2,6],[4],[5]]=>101100
[[1,2,7],[3,6],[4],[5]]=>011100
[[1,4,7],[2,5],[3],[6]]=>110110
[[1,3,7],[2,5],[4],[6]]=>101010
[[1,2,7],[3,5],[4],[6]]=>011010
[[1,3,7],[2,4],[5],[6]]=>101110
[[1,2,7],[3,4],[5],[6]]=>010110
[[1,5,6],[2,7],[3],[4]]=>111001
[[1,4,6],[2,7],[3],[5]]=>110101
[[1,3,6],[2,7],[4],[5]]=>101101
[[1,2,6],[3,7],[4],[5]]=>011101
[[1,4,5],[2,7],[3],[6]]=>110010
[[1,3,5],[2,7],[4],[6]]=>101010
[[1,2,5],[3,7],[4],[6]]=>011010
[[1,3,4],[2,7],[5],[6]]=>100110
[[1,2,4],[3,7],[5],[6]]=>010110
[[1,2,3],[4,7],[5],[6]]=>001110
[[1,4,6],[2,5],[3],[7]]=>110101
[[1,3,6],[2,5],[4],[7]]=>101001
[[1,2,6],[3,5],[4],[7]]=>011001
[[1,3,6],[2,4],[5],[7]]=>101101
[[1,2,6],[3,4],[5],[7]]=>010101
[[1,4,5],[2,6],[3],[7]]=>110011
[[1,3,5],[2,6],[4],[7]]=>101011
[[1,2,5],[3,6],[4],[7]]=>011011
[[1,3,4],[2,6],[5],[7]]=>100101
[[1,2,4],[3,6],[5],[7]]=>010101
[[1,2,3],[4,6],[5],[7]]=>001101
[[1,3,5],[2,4],[6],[7]]=>101011
[[1,2,5],[3,4],[6],[7]]=>010011
[[1,3,4],[2,5],[6],[7]]=>100111
[[1,2,4],[3,5],[6],[7]]=>010111
[[1,2,3],[4,5],[6],[7]]=>001011
[[1,6,7],[2],[3],[4],[5]]=>111100
[[1,5,7],[2],[3],[4],[6]]=>111010
[[1,4,7],[2],[3],[5],[6]]=>110110
[[1,3,7],[2],[4],[5],[6]]=>101110
[[1,2,7],[3],[4],[5],[6]]=>011110
[[1,5,6],[2],[3],[4],[7]]=>111001
[[1,4,6],[2],[3],[5],[7]]=>110101
[[1,3,6],[2],[4],[5],[7]]=>101101
[[1,2,6],[3],[4],[5],[7]]=>011101
[[1,4,5],[2],[3],[6],[7]]=>110011
[[1,3,5],[2],[4],[6],[7]]=>101011
[[1,2,5],[3],[4],[6],[7]]=>011011
[[1,3,4],[2],[5],[6],[7]]=>100111
[[1,2,4],[3],[5],[6],[7]]=>010111
[[1,2,3],[4],[5],[6],[7]]=>001111
[[1,5],[2,6],[3,7],[4]]=>111011
[[1,4],[2,6],[3,7],[5]]=>110101
[[1,3],[2,6],[4,7],[5]]=>101101
[[1,2],[3,6],[4,7],[5]]=>011101
[[1,4],[2,5],[3,7],[6]]=>110110
[[1,3],[2,5],[4,7],[6]]=>101010
[[1,2],[3,5],[4,7],[6]]=>011010
[[1,3],[2,4],[5,7],[6]]=>101110
[[1,2],[3,4],[5,7],[6]]=>010110
[[1,4],[2,5],[3,6],[7]]=>110111
[[1,3],[2,5],[4,6],[7]]=>101011
[[1,2],[3,5],[4,6],[7]]=>011011
[[1,3],[2,4],[5,6],[7]]=>101101
[[1,2],[3,4],[5,6],[7]]=>010101
[[1,6],[2,7],[3],[4],[5]]=>111101
[[1,5],[2,7],[3],[4],[6]]=>111010
[[1,4],[2,7],[3],[5],[6]]=>110110
[[1,3],[2,7],[4],[5],[6]]=>101110
[[1,2],[3,7],[4],[5],[6]]=>011110
[[1,5],[2,6],[3],[4],[7]]=>111011
[[1,4],[2,6],[3],[5],[7]]=>110101
[[1,3],[2,6],[4],[5],[7]]=>101101
[[1,2],[3,6],[4],[5],[7]]=>011101
[[1,4],[2,5],[3],[6],[7]]=>110111
[[1,3],[2,5],[4],[6],[7]]=>101011
[[1,2],[3,5],[4],[6],[7]]=>011011
[[1,3],[2,4],[5],[6],[7]]=>101111
[[1,2],[3,4],[5],[6],[7]]=>010111
[[1,7],[2],[3],[4],[5],[6]]=>111110
[[1,6],[2],[3],[4],[5],[7]]=>111101
[[1,5],[2],[3],[4],[6],[7]]=>111011
[[1,4],[2],[3],[5],[6],[7]]=>110111
[[1,3],[2],[4],[5],[6],[7]]=>101111
[[1,2],[3],[4],[5],[6],[7]]=>011111
[[1],[2],[3],[4],[5],[6],[7]]=>111111
[[1,2,3,4,5,6,7,8]]=>0000000
[[1,3,4,5,6,7,8],[2]]=>1000000
[[1,2,4,5,6,7,8],[3]]=>0100000
[[1,2,3,5,6,7,8],[4]]=>0010000
[[1,2,3,4,6,7,8],[5]]=>0001000
[[1,2,3,4,5,7,8],[6]]=>0000100
[[1,2,3,4,5,6,8],[7]]=>0000010
[[1,2,3,4,5,6,7],[8]]=>0000001
[[1,3,5,6,7,8],[2,4]]=>1010000
[[1,2,5,6,7,8],[3,4]]=>0100000
[[1,3,4,6,7,8],[2,5]]=>1001000
[[1,2,4,6,7,8],[3,5]]=>0101000
[[1,2,3,6,7,8],[4,5]]=>0010000
[[1,3,4,5,7,8],[2,6]]=>1000100
[[1,2,4,5,7,8],[3,6]]=>0100100
[[1,2,3,5,7,8],[4,6]]=>0010100
[[1,2,3,4,7,8],[5,6]]=>0001000
[[1,3,4,5,6,8],[2,7]]=>1000010
[[1,2,4,5,6,8],[3,7]]=>0100010
[[1,2,3,5,6,8],[4,7]]=>0010010
[[1,2,3,4,6,8],[5,7]]=>0001010
[[1,2,3,4,5,8],[6,7]]=>0000100
[[1,3,4,5,6,7],[2,8]]=>1000001
[[1,2,4,5,6,7],[3,8]]=>0100001
[[1,2,3,5,6,7],[4,8]]=>0010001
[[1,2,3,4,6,7],[5,8]]=>0001001
[[1,2,3,4,5,7],[6,8]]=>0000101
[[1,2,3,4,5,6],[7,8]]=>0000010
[[1,4,5,6,7,8],[2],[3]]=>1100000
[[1,3,5,6,7,8],[2],[4]]=>1010000
[[1,2,5,6,7,8],[3],[4]]=>0110000
[[1,3,4,6,7,8],[2],[5]]=>1001000
[[1,2,4,6,7,8],[3],[5]]=>0101000
[[1,2,3,6,7,8],[4],[5]]=>0011000
[[1,3,4,5,7,8],[2],[6]]=>1000100
[[1,2,4,5,7,8],[3],[6]]=>0100100
[[1,2,3,5,7,8],[4],[6]]=>0010100
[[1,2,3,4,7,8],[5],[6]]=>0001100
[[1,3,4,5,6,8],[2],[7]]=>1000010
[[1,2,4,5,6,8],[3],[7]]=>0100010
[[1,2,3,5,6,8],[4],[7]]=>0010010
[[1,2,3,4,6,8],[5],[7]]=>0001010
[[1,2,3,4,5,8],[6],[7]]=>0000110
[[1,3,4,5,6,7],[2],[8]]=>1000001
[[1,2,4,5,6,7],[3],[8]]=>0100001
[[1,2,3,5,6,7],[4],[8]]=>0010001
[[1,2,3,4,6,7],[5],[8]]=>0001001
[[1,2,3,4,5,7],[6],[8]]=>0000101
[[1,2,3,4,5,6],[7],[8]]=>0000011
[[1,3,5,7,8],[2,4,6]]=>1010100
[[1,2,5,7,8],[3,4,6]]=>0100100
[[1,3,4,7,8],[2,5,6]]=>1001000
[[1,2,4,7,8],[3,5,6]]=>0101000
[[1,2,3,7,8],[4,5,6]]=>0010000
[[1,3,5,6,8],[2,4,7]]=>1010010
[[1,2,5,6,8],[3,4,7]]=>0100010
[[1,3,4,6,8],[2,5,7]]=>1001010
[[1,2,4,6,8],[3,5,7]]=>0101010
[[1,2,3,6,8],[4,5,7]]=>0010010
[[1,3,4,5,8],[2,6,7]]=>1000100
[[1,2,4,5,8],[3,6,7]]=>0100100
[[1,2,3,5,8],[4,6,7]]=>0010100
[[1,2,3,4,8],[5,6,7]]=>0001000
[[1,3,5,6,7],[2,4,8]]=>1010001
[[1,2,5,6,7],[3,4,8]]=>0100001
[[1,3,4,6,7],[2,5,8]]=>1001001
[[1,2,4,6,7],[3,5,8]]=>0101001
[[1,2,3,6,7],[4,5,8]]=>0010001
[[1,3,4,5,7],[2,6,8]]=>1000101
[[1,2,4,5,7],[3,6,8]]=>0100101
[[1,2,3,5,7],[4,6,8]]=>0010101
[[1,2,3,4,7],[5,6,8]]=>0001001
[[1,3,4,5,6],[2,7,8]]=>1000010
[[1,2,4,5,6],[3,7,8]]=>0100010
[[1,2,3,5,6],[4,7,8]]=>0010010
[[1,2,3,4,6],[5,7,8]]=>0001010
[[1,2,3,4,5],[6,7,8]]=>0000100
[[1,4,6,7,8],[2,5],[3]]=>1101000
[[1,3,6,7,8],[2,5],[4]]=>1010000
[[1,2,6,7,8],[3,5],[4]]=>0110000
[[1,3,6,7,8],[2,4],[5]]=>1011000
[[1,2,6,7,8],[3,4],[5]]=>0101000
[[1,4,5,7,8],[2,6],[3]]=>1100100
[[1,3,5,7,8],[2,6],[4]]=>1010100
[[1,2,5,7,8],[3,6],[4]]=>0110100
[[1,3,4,7,8],[2,6],[5]]=>1001000
[[1,2,4,7,8],[3,6],[5]]=>0101000
[[1,2,3,7,8],[4,6],[5]]=>0011000
[[1,3,5,7,8],[2,4],[6]]=>1010100
[[1,2,5,7,8],[3,4],[6]]=>0100100
[[1,3,4,7,8],[2,5],[6]]=>1001100
[[1,2,4,7,8],[3,5],[6]]=>0101100
[[1,2,3,7,8],[4,5],[6]]=>0010100
[[1,4,5,6,8],[2,7],[3]]=>1100010
[[1,3,5,6,8],[2,7],[4]]=>1010010
[[1,2,5,6,8],[3,7],[4]]=>0110010
[[1,3,4,6,8],[2,7],[5]]=>1001010
[[1,2,4,6,8],[3,7],[5]]=>0101010
[[1,2,3,6,8],[4,7],[5]]=>0011010
[[1,3,4,5,8],[2,7],[6]]=>1000100
[[1,2,4,5,8],[3,7],[6]]=>0100100
[[1,2,3,5,8],[4,7],[6]]=>0010100
[[1,2,3,4,8],[5,7],[6]]=>0001100
[[1,3,5,6,8],[2,4],[7]]=>1010010
[[1,2,5,6,8],[3,4],[7]]=>0100010
[[1,3,4,6,8],[2,5],[7]]=>1001010
[[1,2,4,6,8],[3,5],[7]]=>0101010
[[1,2,3,6,8],[4,5],[7]]=>0010010
[[1,3,4,5,8],[2,6],[7]]=>1000110
[[1,2,4,5,8],[3,6],[7]]=>0100110
[[1,2,3,5,8],[4,6],[7]]=>0010110
[[1,2,3,4,8],[5,6],[7]]=>0001010
[[1,4,5,6,7],[2,8],[3]]=>1100001
[[1,3,5,6,7],[2,8],[4]]=>1010001
[[1,2,5,6,7],[3,8],[4]]=>0110001
[[1,3,4,6,7],[2,8],[5]]=>1001001
[[1,2,4,6,7],[3,8],[5]]=>0101001
[[1,2,3,6,7],[4,8],[5]]=>0011001
[[1,3,4,5,7],[2,8],[6]]=>1000101
[[1,2,4,5,7],[3,8],[6]]=>0100101
[[1,2,3,5,7],[4,8],[6]]=>0010101
[[1,2,3,4,7],[5,8],[6]]=>0001101
[[1,3,4,5,6],[2,8],[7]]=>1000010
[[1,2,4,5,6],[3,8],[7]]=>0100010
[[1,2,3,5,6],[4,8],[7]]=>0010010
[[1,2,3,4,6],[5,8],[7]]=>0001010
[[1,2,3,4,5],[6,8],[7]]=>0000110
[[1,3,5,6,7],[2,4],[8]]=>1010001
[[1,2,5,6,7],[3,4],[8]]=>0100001
[[1,3,4,6,7],[2,5],[8]]=>1001001
[[1,2,4,6,7],[3,5],[8]]=>0101001
[[1,2,3,6,7],[4,5],[8]]=>0010001
[[1,3,4,5,7],[2,6],[8]]=>1000101
[[1,2,4,5,7],[3,6],[8]]=>0100101
[[1,2,3,5,7],[4,6],[8]]=>0010101
[[1,2,3,4,7],[5,6],[8]]=>0001001
[[1,3,4,5,6],[2,7],[8]]=>1000011
[[1,2,4,5,6],[3,7],[8]]=>0100011
[[1,2,3,5,6],[4,7],[8]]=>0010011
[[1,2,3,4,6],[5,7],[8]]=>0001011
[[1,2,3,4,5],[6,7],[8]]=>0000101
[[1,5,6,7,8],[2],[3],[4]]=>1110000
[[1,4,6,7,8],[2],[3],[5]]=>1101000
[[1,3,6,7,8],[2],[4],[5]]=>1011000
[[1,2,6,7,8],[3],[4],[5]]=>0111000
[[1,4,5,7,8],[2],[3],[6]]=>1100100
[[1,3,5,7,8],[2],[4],[6]]=>1010100
[[1,2,5,7,8],[3],[4],[6]]=>0110100
[[1,3,4,7,8],[2],[5],[6]]=>1001100
[[1,2,4,7,8],[3],[5],[6]]=>0101100
[[1,2,3,7,8],[4],[5],[6]]=>0011100
[[1,4,5,6,8],[2],[3],[7]]=>1100010
[[1,3,5,6,8],[2],[4],[7]]=>1010010
[[1,2,5,6,8],[3],[4],[7]]=>0110010
[[1,3,4,6,8],[2],[5],[7]]=>1001010
[[1,2,4,6,8],[3],[5],[7]]=>0101010
[[1,2,3,6,8],[4],[5],[7]]=>0011010
[[1,3,4,5,8],[2],[6],[7]]=>1000110
[[1,2,4,5,8],[3],[6],[7]]=>0100110
[[1,2,3,5,8],[4],[6],[7]]=>0010110
[[1,2,3,4,8],[5],[6],[7]]=>0001110
[[1,4,5,6,7],[2],[3],[8]]=>1100001
[[1,3,5,6,7],[2],[4],[8]]=>1010001
[[1,2,5,6,7],[3],[4],[8]]=>0110001
[[1,3,4,6,7],[2],[5],[8]]=>1001001
[[1,2,4,6,7],[3],[5],[8]]=>0101001
[[1,2,3,6,7],[4],[5],[8]]=>0011001
[[1,3,4,5,7],[2],[6],[8]]=>1000101
[[1,2,4,5,7],[3],[6],[8]]=>0100101
[[1,2,3,5,7],[4],[6],[8]]=>0010101
[[1,2,3,4,7],[5],[6],[8]]=>0001101
[[1,3,4,5,6],[2],[7],[8]]=>1000011
[[1,2,4,5,6],[3],[7],[8]]=>0100011
[[1,2,3,5,6],[4],[7],[8]]=>0010011
[[1,2,3,4,6],[5],[7],[8]]=>0001011
[[1,2,3,4,5],[6],[7],[8]]=>0000111
[[1,3,5,7],[2,4,6,8]]=>1010101
[[1,2,5,7],[3,4,6,8]]=>0100101
[[1,3,4,7],[2,5,6,8]]=>1001001
[[1,2,4,7],[3,5,6,8]]=>0101001
[[1,2,3,7],[4,5,6,8]]=>0010001
[[1,3,5,6],[2,4,7,8]]=>1010010
[[1,2,5,6],[3,4,7,8]]=>0100010
[[1,3,4,6],[2,5,7,8]]=>1001010
[[1,2,4,6],[3,5,7,8]]=>0101010
[[1,2,3,6],[4,5,7,8]]=>0010010
[[1,3,4,5],[2,6,7,8]]=>1000100
[[1,2,4,5],[3,6,7,8]]=>0100100
[[1,2,3,5],[4,6,7,8]]=>0010100
[[1,2,3,4],[5,6,7,8]]=>0001000
[[1,4,6,8],[2,5,7],[3]]=>1101010
[[1,3,6,8],[2,5,7],[4]]=>1010010
[[1,2,6,8],[3,5,7],[4]]=>0110010
[[1,3,6,8],[2,4,7],[5]]=>1011010
[[1,2,6,8],[3,4,7],[5]]=>0101010
[[1,4,5,8],[2,6,7],[3]]=>1100100
[[1,3,5,8],[2,6,7],[4]]=>1010100
[[1,2,5,8],[3,6,7],[4]]=>0110100
[[1,3,4,8],[2,6,7],[5]]=>1001000
[[1,2,4,8],[3,6,7],[5]]=>0101000
[[1,2,3,8],[4,6,7],[5]]=>0011000
[[1,3,5,8],[2,4,7],[6]]=>1010100
[[1,2,5,8],[3,4,7],[6]]=>0100100
[[1,3,4,8],[2,5,7],[6]]=>1001100
[[1,2,4,8],[3,5,7],[6]]=>0101100
[[1,2,3,8],[4,5,7],[6]]=>0010100
[[1,3,5,8],[2,4,6],[7]]=>1010110
[[1,2,5,8],[3,4,6],[7]]=>0100110
[[1,3,4,8],[2,5,6],[7]]=>1001010
[[1,2,4,8],[3,5,6],[7]]=>0101010
[[1,2,3,8],[4,5,6],[7]]=>0010010
[[1,4,6,7],[2,5,8],[3]]=>1101001
[[1,3,6,7],[2,5,8],[4]]=>1010001
[[1,2,6,7],[3,5,8],[4]]=>0110001
[[1,3,6,7],[2,4,8],[5]]=>1011001
[[1,2,6,7],[3,4,8],[5]]=>0101001
[[1,4,5,7],[2,6,8],[3]]=>1100101
[[1,3,5,7],[2,6,8],[4]]=>1010101
[[1,2,5,7],[3,6,8],[4]]=>0110101
[[1,3,4,7],[2,6,8],[5]]=>1001001
[[1,2,4,7],[3,6,8],[5]]=>0101001
[[1,2,3,7],[4,6,8],[5]]=>0011001
[[1,3,5,7],[2,4,8],[6]]=>1010101
[[1,2,5,7],[3,4,8],[6]]=>0100101
[[1,3,4,7],[2,5,8],[6]]=>1001101
[[1,2,4,7],[3,5,8],[6]]=>0101101
[[1,2,3,7],[4,5,8],[6]]=>0010101
[[1,4,5,6],[2,7,8],[3]]=>1100010
[[1,3,5,6],[2,7,8],[4]]=>1010010
[[1,2,5,6],[3,7,8],[4]]=>0110010
[[1,3,4,6],[2,7,8],[5]]=>1001010
[[1,2,4,6],[3,7,8],[5]]=>0101010
[[1,2,3,6],[4,7,8],[5]]=>0011010
[[1,3,4,5],[2,7,8],[6]]=>1000100
[[1,2,4,5],[3,7,8],[6]]=>0100100
[[1,2,3,5],[4,7,8],[6]]=>0010100
[[1,2,3,4],[5,7,8],[6]]=>0001100
[[1,3,5,6],[2,4,8],[7]]=>1010010
[[1,2,5,6],[3,4,8],[7]]=>0100010
[[1,3,4,6],[2,5,8],[7]]=>1001010
[[1,2,4,6],[3,5,8],[7]]=>0101010
[[1,2,3,6],[4,5,8],[7]]=>0010010
[[1,3,4,5],[2,6,8],[7]]=>1000110
[[1,2,4,5],[3,6,8],[7]]=>0100110
[[1,2,3,5],[4,6,8],[7]]=>0010110
[[1,2,3,4],[5,6,8],[7]]=>0001010
[[1,3,5,7],[2,4,6],[8]]=>1010101
[[1,2,5,7],[3,4,6],[8]]=>0100101
[[1,3,4,7],[2,5,6],[8]]=>1001001
[[1,2,4,7],[3,5,6],[8]]=>0101001
[[1,2,3,7],[4,5,6],[8]]=>0010001
[[1,3,5,6],[2,4,7],[8]]=>1010011
[[1,2,5,6],[3,4,7],[8]]=>0100011
[[1,3,4,6],[2,5,7],[8]]=>1001011
[[1,2,4,6],[3,5,7],[8]]=>0101011
[[1,2,3,6],[4,5,7],[8]]=>0010011
[[1,3,4,5],[2,6,7],[8]]=>1000101
[[1,2,4,5],[3,6,7],[8]]=>0100101
[[1,2,3,5],[4,6,7],[8]]=>0010101
[[1,2,3,4],[5,6,7],[8]]=>0001001
[[1,4,7,8],[2,5],[3,6]]=>1101100
[[1,3,7,8],[2,5],[4,6]]=>1010100
[[1,2,7,8],[3,5],[4,6]]=>0110100
[[1,3,7,8],[2,4],[5,6]]=>1011000
[[1,2,7,8],[3,4],[5,6]]=>0101000
[[1,4,6,8],[2,5],[3,7]]=>1101010
[[1,3,6,8],[2,5],[4,7]]=>1010010
[[1,2,6,8],[3,5],[4,7]]=>0110010
[[1,3,6,8],[2,4],[5,7]]=>1011010
[[1,2,6,8],[3,4],[5,7]]=>0101010
[[1,4,5,8],[2,6],[3,7]]=>1100110
[[1,3,5,8],[2,6],[4,7]]=>1010110
[[1,2,5,8],[3,6],[4,7]]=>0110110
[[1,3,4,8],[2,6],[5,7]]=>1001010
[[1,2,4,8],[3,6],[5,7]]=>0101010
[[1,2,3,8],[4,6],[5,7]]=>0011010
[[1,3,5,8],[2,4],[6,7]]=>1010100
[[1,2,5,8],[3,4],[6,7]]=>0100100
[[1,3,4,8],[2,5],[6,7]]=>1001100
[[1,2,4,8],[3,5],[6,7]]=>0101100
[[1,2,3,8],[4,5],[6,7]]=>0010100
[[1,4,6,7],[2,5],[3,8]]=>1101001
[[1,3,6,7],[2,5],[4,8]]=>1010001
[[1,2,6,7],[3,5],[4,8]]=>0110001
[[1,3,6,7],[2,4],[5,8]]=>1011001
[[1,2,6,7],[3,4],[5,8]]=>0101001
[[1,4,5,7],[2,6],[3,8]]=>1100101
[[1,3,5,7],[2,6],[4,8]]=>1010101
[[1,2,5,7],[3,6],[4,8]]=>0110101
[[1,3,4,7],[2,6],[5,8]]=>1001001
[[1,2,4,7],[3,6],[5,8]]=>0101001
[[1,2,3,7],[4,6],[5,8]]=>0011001
[[1,3,5,7],[2,4],[6,8]]=>1010101
[[1,2,5,7],[3,4],[6,8]]=>0100101
[[1,3,4,7],[2,5],[6,8]]=>1001101
[[1,2,4,7],[3,5],[6,8]]=>0101101
[[1,2,3,7],[4,5],[6,8]]=>0010101
[[1,4,5,6],[2,7],[3,8]]=>1100011
[[1,3,5,6],[2,7],[4,8]]=>1010011
[[1,2,5,6],[3,7],[4,8]]=>0110011
[[1,3,4,6],[2,7],[5,8]]=>1001011
[[1,2,4,6],[3,7],[5,8]]=>0101011
[[1,2,3,6],[4,7],[5,8]]=>0011011
[[1,3,4,5],[2,7],[6,8]]=>1000101
[[1,2,4,5],[3,7],[6,8]]=>0100101
[[1,2,3,5],[4,7],[6,8]]=>0010101
[[1,2,3,4],[5,7],[6,8]]=>0001101
[[1,3,5,6],[2,4],[7,8]]=>1010010
[[1,2,5,6],[3,4],[7,8]]=>0100010
[[1,3,4,6],[2,5],[7,8]]=>1001010
[[1,2,4,6],[3,5],[7,8]]=>0101010
[[1,2,3,6],[4,5],[7,8]]=>0010010
[[1,3,4,5],[2,6],[7,8]]=>1000110
[[1,2,4,5],[3,6],[7,8]]=>0100110
[[1,2,3,5],[4,6],[7,8]]=>0010110
[[1,2,3,4],[5,6],[7,8]]=>0001010
[[1,5,7,8],[2,6],[3],[4]]=>1110100
[[1,4,7,8],[2,6],[3],[5]]=>1101000
[[1,3,7,8],[2,6],[4],[5]]=>1011000
[[1,2,7,8],[3,6],[4],[5]]=>0111000
[[1,4,7,8],[2,5],[3],[6]]=>1101100
[[1,3,7,8],[2,5],[4],[6]]=>1010100
[[1,2,7,8],[3,5],[4],[6]]=>0110100
[[1,3,7,8],[2,4],[5],[6]]=>1011100
[[1,2,7,8],[3,4],[5],[6]]=>0101100
[[1,5,6,8],[2,7],[3],[4]]=>1110010
[[1,4,6,8],[2,7],[3],[5]]=>1101010
[[1,3,6,8],[2,7],[4],[5]]=>1011010
[[1,2,6,8],[3,7],[4],[5]]=>0111010
[[1,4,5,8],[2,7],[3],[6]]=>1100100
[[1,3,5,8],[2,7],[4],[6]]=>1010100
[[1,2,5,8],[3,7],[4],[6]]=>0110100
[[1,3,4,8],[2,7],[5],[6]]=>1001100
[[1,2,4,8],[3,7],[5],[6]]=>0101100
[[1,2,3,8],[4,7],[5],[6]]=>0011100
[[1,4,6,8],[2,5],[3],[7]]=>1101010
[[1,3,6,8],[2,5],[4],[7]]=>1010010
[[1,2,6,8],[3,5],[4],[7]]=>0110010
[[1,3,6,8],[2,4],[5],[7]]=>1011010
[[1,2,6,8],[3,4],[5],[7]]=>0101010
[[1,4,5,8],[2,6],[3],[7]]=>1100110
[[1,3,5,8],[2,6],[4],[7]]=>1010110
[[1,2,5,8],[3,6],[4],[7]]=>0110110
[[1,3,4,8],[2,6],[5],[7]]=>1001010
[[1,2,4,8],[3,6],[5],[7]]=>0101010
[[1,2,3,8],[4,6],[5],[7]]=>0011010
[[1,3,5,8],[2,4],[6],[7]]=>1010110
[[1,2,5,8],[3,4],[6],[7]]=>0100110
[[1,3,4,8],[2,5],[6],[7]]=>1001110
[[1,2,4,8],[3,5],[6],[7]]=>0101110
[[1,2,3,8],[4,5],[6],[7]]=>0010110
[[1,5,6,7],[2,8],[3],[4]]=>1110001
[[1,4,6,7],[2,8],[3],[5]]=>1101001
[[1,3,6,7],[2,8],[4],[5]]=>1011001
[[1,2,6,7],[3,8],[4],[5]]=>0111001
[[1,4,5,7],[2,8],[3],[6]]=>1100101
[[1,3,5,7],[2,8],[4],[6]]=>1010101
[[1,2,5,7],[3,8],[4],[6]]=>0110101
[[1,3,4,7],[2,8],[5],[6]]=>1001101
[[1,2,4,7],[3,8],[5],[6]]=>0101101
[[1,2,3,7],[4,8],[5],[6]]=>0011101
[[1,4,5,6],[2,8],[3],[7]]=>1100010
[[1,3,5,6],[2,8],[4],[7]]=>1010010
[[1,2,5,6],[3,8],[4],[7]]=>0110010
[[1,3,4,6],[2,8],[5],[7]]=>1001010
[[1,2,4,6],[3,8],[5],[7]]=>0101010
[[1,2,3,6],[4,8],[5],[7]]=>0011010
[[1,3,4,5],[2,8],[6],[7]]=>1000110
[[1,2,4,5],[3,8],[6],[7]]=>0100110
[[1,2,3,5],[4,8],[6],[7]]=>0010110
[[1,2,3,4],[5,8],[6],[7]]=>0001110
[[1,4,6,7],[2,5],[3],[8]]=>1101001
[[1,3,6,7],[2,5],[4],[8]]=>1010001
[[1,2,6,7],[3,5],[4],[8]]=>0110001
[[1,3,6,7],[2,4],[5],[8]]=>1011001
[[1,2,6,7],[3,4],[5],[8]]=>0101001
[[1,4,5,7],[2,6],[3],[8]]=>1100101
[[1,3,5,7],[2,6],[4],[8]]=>1010101
[[1,2,5,7],[3,6],[4],[8]]=>0110101
[[1,3,4,7],[2,6],[5],[8]]=>1001001
[[1,2,4,7],[3,6],[5],[8]]=>0101001
[[1,2,3,7],[4,6],[5],[8]]=>0011001
[[1,3,5,7],[2,4],[6],[8]]=>1010101
[[1,2,5,7],[3,4],[6],[8]]=>0100101
[[1,3,4,7],[2,5],[6],[8]]=>1001101
[[1,2,4,7],[3,5],[6],[8]]=>0101101
[[1,2,3,7],[4,5],[6],[8]]=>0010101
[[1,4,5,6],[2,7],[3],[8]]=>1100011
[[1,3,5,6],[2,7],[4],[8]]=>1010011
[[1,2,5,6],[3,7],[4],[8]]=>0110011
[[1,3,4,6],[2,7],[5],[8]]=>1001011
[[1,2,4,6],[3,7],[5],[8]]=>0101011
[[1,2,3,6],[4,7],[5],[8]]=>0011011
[[1,3,4,5],[2,7],[6],[8]]=>1000101
[[1,2,4,5],[3,7],[6],[8]]=>0100101
[[1,2,3,5],[4,7],[6],[8]]=>0010101
[[1,2,3,4],[5,7],[6],[8]]=>0001101
[[1,3,5,6],[2,4],[7],[8]]=>1010011
[[1,2,5,6],[3,4],[7],[8]]=>0100011
[[1,3,4,6],[2,5],[7],[8]]=>1001011
[[1,2,4,6],[3,5],[7],[8]]=>0101011
[[1,2,3,6],[4,5],[7],[8]]=>0010011
[[1,3,4,5],[2,6],[7],[8]]=>1000111
[[1,2,4,5],[3,6],[7],[8]]=>0100111
[[1,2,3,5],[4,6],[7],[8]]=>0010111
[[1,2,3,4],[5,6],[7],[8]]=>0001011
[[1,6,7,8],[2],[3],[4],[5]]=>1111000
[[1,5,7,8],[2],[3],[4],[6]]=>1110100
[[1,4,7,8],[2],[3],[5],[6]]=>1101100
[[1,3,7,8],[2],[4],[5],[6]]=>1011100
[[1,2,7,8],[3],[4],[5],[6]]=>0111100
[[1,5,6,8],[2],[3],[4],[7]]=>1110010
[[1,4,6,8],[2],[3],[5],[7]]=>1101010
[[1,3,6,8],[2],[4],[5],[7]]=>1011010
[[1,2,6,8],[3],[4],[5],[7]]=>0111010
[[1,4,5,8],[2],[3],[6],[7]]=>1100110
[[1,3,5,8],[2],[4],[6],[7]]=>1010110
[[1,2,5,8],[3],[4],[6],[7]]=>0110110
[[1,3,4,8],[2],[5],[6],[7]]=>1001110
[[1,2,4,8],[3],[5],[6],[7]]=>0101110
[[1,2,3,8],[4],[5],[6],[7]]=>0011110
[[1,5,6,7],[2],[3],[4],[8]]=>1110001
[[1,4,6,7],[2],[3],[5],[8]]=>1101001
[[1,3,6,7],[2],[4],[5],[8]]=>1011001
[[1,2,6,7],[3],[4],[5],[8]]=>0111001
[[1,4,5,7],[2],[3],[6],[8]]=>1100101
[[1,3,5,7],[2],[4],[6],[8]]=>1010101
[[1,2,5,7],[3],[4],[6],[8]]=>0110101
[[1,3,4,7],[2],[5],[6],[8]]=>1001101
[[1,2,4,7],[3],[5],[6],[8]]=>0101101
[[1,2,3,7],[4],[5],[6],[8]]=>0011101
[[1,4,5,6],[2],[3],[7],[8]]=>1100011
[[1,3,5,6],[2],[4],[7],[8]]=>1010011
[[1,2,5,6],[3],[4],[7],[8]]=>0110011
[[1,3,4,6],[2],[5],[7],[8]]=>1001011
[[1,2,4,6],[3],[5],[7],[8]]=>0101011
[[1,2,3,6],[4],[5],[7],[8]]=>0011011
[[1,3,4,5],[2],[6],[7],[8]]=>1000111
[[1,2,4,5],[3],[6],[7],[8]]=>0100111
[[1,2,3,5],[4],[6],[7],[8]]=>0010111
[[1,2,3,4],[5],[6],[7],[8]]=>0001111
[[1,4,7],[2,5,8],[3,6]]=>1101101
[[1,3,7],[2,5,8],[4,6]]=>1010101
[[1,2,7],[3,5,8],[4,6]]=>0110101
[[1,3,7],[2,4,8],[5,6]]=>1011001
[[1,2,7],[3,4,8],[5,6]]=>0101001
[[1,4,6],[2,5,8],[3,7]]=>1101010
[[1,3,6],[2,5,8],[4,7]]=>1010010
[[1,2,6],[3,5,8],[4,7]]=>0110010
[[1,3,6],[2,4,8],[5,7]]=>1011010
[[1,2,6],[3,4,8],[5,7]]=>0101010
[[1,4,5],[2,6,8],[3,7]]=>1100110
[[1,3,5],[2,6,8],[4,7]]=>1010110
[[1,2,5],[3,6,8],[4,7]]=>0110110
[[1,3,4],[2,6,8],[5,7]]=>1001010
[[1,2,4],[3,6,8],[5,7]]=>0101010
[[1,2,3],[4,6,8],[5,7]]=>0011010
[[1,3,5],[2,4,8],[6,7]]=>1010100
[[1,2,5],[3,4,8],[6,7]]=>0100100
[[1,3,4],[2,5,8],[6,7]]=>1001100
[[1,2,4],[3,5,8],[6,7]]=>0101100
[[1,2,3],[4,5,8],[6,7]]=>0010100
[[1,4,6],[2,5,7],[3,8]]=>1101011
[[1,3,6],[2,5,7],[4,8]]=>1010011
[[1,2,6],[3,5,7],[4,8]]=>0110011
[[1,3,6],[2,4,7],[5,8]]=>1011011
[[1,2,6],[3,4,7],[5,8]]=>0101011
[[1,4,5],[2,6,7],[3,8]]=>1100101
[[1,3,5],[2,6,7],[4,8]]=>1010101
[[1,2,5],[3,6,7],[4,8]]=>0110101
[[1,3,4],[2,6,7],[5,8]]=>1001001
[[1,2,4],[3,6,7],[5,8]]=>0101001
[[1,2,3],[4,6,7],[5,8]]=>0011001
[[1,3,5],[2,4,7],[6,8]]=>1010101
[[1,2,5],[3,4,7],[6,8]]=>0100101
[[1,3,4],[2,5,7],[6,8]]=>1001101
[[1,2,4],[3,5,7],[6,8]]=>0101101
[[1,2,3],[4,5,7],[6,8]]=>0010101
[[1,3,5],[2,4,6],[7,8]]=>1010110
[[1,2,5],[3,4,6],[7,8]]=>0100110
[[1,3,4],[2,5,6],[7,8]]=>1001010
[[1,2,4],[3,5,6],[7,8]]=>0101010
[[1,2,3],[4,5,6],[7,8]]=>0010010
[[1,5,7],[2,6,8],[3],[4]]=>1110101
[[1,4,7],[2,6,8],[3],[5]]=>1101001
[[1,3,7],[2,6,8],[4],[5]]=>1011001
[[1,2,7],[3,6,8],[4],[5]]=>0111001
[[1,4,7],[2,5,8],[3],[6]]=>1101101
[[1,3,7],[2,5,8],[4],[6]]=>1010101
[[1,2,7],[3,5,8],[4],[6]]=>0110101
[[1,3,7],[2,4,8],[5],[6]]=>1011101
[[1,2,7],[3,4,8],[5],[6]]=>0101101
[[1,5,6],[2,7,8],[3],[4]]=>1110010
[[1,4,6],[2,7,8],[3],[5]]=>1101010
[[1,3,6],[2,7,8],[4],[5]]=>1011010
[[1,2,6],[3,7,8],[4],[5]]=>0111010
[[1,4,5],[2,7,8],[3],[6]]=>1100100
[[1,3,5],[2,7,8],[4],[6]]=>1010100
[[1,2,5],[3,7,8],[4],[6]]=>0110100
[[1,3,4],[2,7,8],[5],[6]]=>1001100
[[1,2,4],[3,7,8],[5],[6]]=>0101100
[[1,2,3],[4,7,8],[5],[6]]=>0011100
[[1,4,6],[2,5,8],[3],[7]]=>1101010
[[1,3,6],[2,5,8],[4],[7]]=>1010010
[[1,2,6],[3,5,8],[4],[7]]=>0110010
[[1,3,6],[2,4,8],[5],[7]]=>1011010
[[1,2,6],[3,4,8],[5],[7]]=>0101010
[[1,4,5],[2,6,8],[3],[7]]=>1100110
[[1,3,5],[2,6,8],[4],[7]]=>1010110
[[1,2,5],[3,6,8],[4],[7]]=>0110110
[[1,3,4],[2,6,8],[5],[7]]=>1001010
[[1,2,4],[3,6,8],[5],[7]]=>0101010
[[1,2,3],[4,6,8],[5],[7]]=>0011010
[[1,3,5],[2,4,8],[6],[7]]=>1010110
[[1,2,5],[3,4,8],[6],[7]]=>0100110
[[1,3,4],[2,5,8],[6],[7]]=>1001110
[[1,2,4],[3,5,8],[6],[7]]=>0101110
[[1,2,3],[4,5,8],[6],[7]]=>0010110
[[1,4,6],[2,5,7],[3],[8]]=>1101011
[[1,3,6],[2,5,7],[4],[8]]=>1010011
[[1,2,6],[3,5,7],[4],[8]]=>0110011
[[1,3,6],[2,4,7],[5],[8]]=>1011011
[[1,2,6],[3,4,7],[5],[8]]=>0101011
[[1,4,5],[2,6,7],[3],[8]]=>1100101
[[1,3,5],[2,6,7],[4],[8]]=>1010101
[[1,2,5],[3,6,7],[4],[8]]=>0110101
[[1,3,4],[2,6,7],[5],[8]]=>1001001
[[1,2,4],[3,6,7],[5],[8]]=>0101001
[[1,2,3],[4,6,7],[5],[8]]=>0011001
[[1,3,5],[2,4,7],[6],[8]]=>1010101
[[1,2,5],[3,4,7],[6],[8]]=>0100101
[[1,3,4],[2,5,7],[6],[8]]=>1001101
[[1,2,4],[3,5,7],[6],[8]]=>0101101
[[1,2,3],[4,5,7],[6],[8]]=>0010101
[[1,3,5],[2,4,6],[7],[8]]=>1010111
[[1,2,5],[3,4,6],[7],[8]]=>0100111
[[1,3,4],[2,5,6],[7],[8]]=>1001011
[[1,2,4],[3,5,6],[7],[8]]=>0101011
[[1,2,3],[4,5,6],[7],[8]]=>0010011
[[1,5,8],[2,6],[3,7],[4]]=>1110110
[[1,4,8],[2,6],[3,7],[5]]=>1101010
[[1,3,8],[2,6],[4,7],[5]]=>1011010
[[1,2,8],[3,6],[4,7],[5]]=>0111010
[[1,4,8],[2,5],[3,7],[6]]=>1101100
[[1,3,8],[2,5],[4,7],[6]]=>1010100
[[1,2,8],[3,5],[4,7],[6]]=>0110100
[[1,3,8],[2,4],[5,7],[6]]=>1011100
[[1,2,8],[3,4],[5,7],[6]]=>0101100
[[1,4,8],[2,5],[3,6],[7]]=>1101110
[[1,3,8],[2,5],[4,6],[7]]=>1010110
[[1,2,8],[3,5],[4,6],[7]]=>0110110
[[1,3,8],[2,4],[5,6],[7]]=>1011010
[[1,2,8],[3,4],[5,6],[7]]=>0101010
[[1,5,7],[2,6],[3,8],[4]]=>1110101
[[1,4,7],[2,6],[3,8],[5]]=>1101001
[[1,3,7],[2,6],[4,8],[5]]=>1011001
[[1,2,7],[3,6],[4,8],[5]]=>0111001
[[1,4,7],[2,5],[3,8],[6]]=>1101101
[[1,3,7],[2,5],[4,8],[6]]=>1010101
[[1,2,7],[3,5],[4,8],[6]]=>0110101
[[1,3,7],[2,4],[5,8],[6]]=>1011101
[[1,2,7],[3,4],[5,8],[6]]=>0101101
[[1,5,6],[2,7],[3,8],[4]]=>1110011
[[1,4,6],[2,7],[3,8],[5]]=>1101011
[[1,3,6],[2,7],[4,8],[5]]=>1011011
[[1,2,6],[3,7],[4,8],[5]]=>0111011
[[1,4,5],[2,7],[3,8],[6]]=>1100101
[[1,3,5],[2,7],[4,8],[6]]=>1010101
[[1,2,5],[3,7],[4,8],[6]]=>0110101
[[1,3,4],[2,7],[5,8],[6]]=>1001101
[[1,2,4],[3,7],[5,8],[6]]=>0101101
[[1,2,3],[4,7],[5,8],[6]]=>0011101
[[1,4,6],[2,5],[3,8],[7]]=>1101010
[[1,3,6],[2,5],[4,8],[7]]=>1010010
[[1,2,6],[3,5],[4,8],[7]]=>0110010
[[1,3,6],[2,4],[5,8],[7]]=>1011010
[[1,2,6],[3,4],[5,8],[7]]=>0101010
[[1,4,5],[2,6],[3,8],[7]]=>1100110
[[1,3,5],[2,6],[4,8],[7]]=>1010110
[[1,2,5],[3,6],[4,8],[7]]=>0110110
[[1,3,4],[2,6],[5,8],[7]]=>1001010
[[1,2,4],[3,6],[5,8],[7]]=>0101010
[[1,2,3],[4,6],[5,8],[7]]=>0011010
[[1,3,5],[2,4],[6,8],[7]]=>1010110
[[1,2,5],[3,4],[6,8],[7]]=>0100110
[[1,3,4],[2,5],[6,8],[7]]=>1001110
[[1,2,4],[3,5],[6,8],[7]]=>0101110
[[1,2,3],[4,5],[6,8],[7]]=>0010110
[[1,4,7],[2,5],[3,6],[8]]=>1101101
[[1,3,7],[2,5],[4,6],[8]]=>1010101
[[1,2,7],[3,5],[4,6],[8]]=>0110101
[[1,3,7],[2,4],[5,6],[8]]=>1011001
[[1,2,7],[3,4],[5,6],[8]]=>0101001
[[1,4,6],[2,5],[3,7],[8]]=>1101011
[[1,3,6],[2,5],[4,7],[8]]=>1010011
[[1,2,6],[3,5],[4,7],[8]]=>0110011
[[1,3,6],[2,4],[5,7],[8]]=>1011011
[[1,2,6],[3,4],[5,7],[8]]=>0101011
[[1,4,5],[2,6],[3,7],[8]]=>1100111
[[1,3,5],[2,6],[4,7],[8]]=>1010111
[[1,2,5],[3,6],[4,7],[8]]=>0110111
[[1,3,4],[2,6],[5,7],[8]]=>1001011
[[1,2,4],[3,6],[5,7],[8]]=>0101011
[[1,2,3],[4,6],[5,7],[8]]=>0011011
[[1,3,5],[2,4],[6,7],[8]]=>1010101
[[1,2,5],[3,4],[6,7],[8]]=>0100101
[[1,3,4],[2,5],[6,7],[8]]=>1001101
[[1,2,4],[3,5],[6,7],[8]]=>0101101
[[1,2,3],[4,5],[6,7],[8]]=>0010101
[[1,6,8],[2,7],[3],[4],[5]]=>1111010
[[1,5,8],[2,7],[3],[4],[6]]=>1110100
[[1,4,8],[2,7],[3],[5],[6]]=>1101100
[[1,3,8],[2,7],[4],[5],[6]]=>1011100
[[1,2,8],[3,7],[4],[5],[6]]=>0111100
[[1,5,8],[2,6],[3],[4],[7]]=>1110110
[[1,4,8],[2,6],[3],[5],[7]]=>1101010
[[1,3,8],[2,6],[4],[5],[7]]=>1011010
[[1,2,8],[3,6],[4],[5],[7]]=>0111010
[[1,4,8],[2,5],[3],[6],[7]]=>1101110
[[1,3,8],[2,5],[4],[6],[7]]=>1010110
[[1,2,8],[3,5],[4],[6],[7]]=>0110110
[[1,3,8],[2,4],[5],[6],[7]]=>1011110
[[1,2,8],[3,4],[5],[6],[7]]=>0101110
[[1,6,7],[2,8],[3],[4],[5]]=>1111001
[[1,5,7],[2,8],[3],[4],[6]]=>1110101
[[1,4,7],[2,8],[3],[5],[6]]=>1101101
[[1,3,7],[2,8],[4],[5],[6]]=>1011101
[[1,2,7],[3,8],[4],[5],[6]]=>0111101
[[1,5,6],[2,8],[3],[4],[7]]=>1110010
[[1,4,6],[2,8],[3],[5],[7]]=>1101010
[[1,3,6],[2,8],[4],[5],[7]]=>1011010
[[1,2,6],[3,8],[4],[5],[7]]=>0111010
[[1,4,5],[2,8],[3],[6],[7]]=>1100110
[[1,3,5],[2,8],[4],[6],[7]]=>1010110
[[1,2,5],[3,8],[4],[6],[7]]=>0110110
[[1,3,4],[2,8],[5],[6],[7]]=>1001110
[[1,2,4],[3,8],[5],[6],[7]]=>0101110
[[1,2,3],[4,8],[5],[6],[7]]=>0011110
[[1,5,7],[2,6],[3],[4],[8]]=>1110101
[[1,4,7],[2,6],[3],[5],[8]]=>1101001
[[1,3,7],[2,6],[4],[5],[8]]=>1011001
[[1,2,7],[3,6],[4],[5],[8]]=>0111001
[[1,4,7],[2,5],[3],[6],[8]]=>1101101
[[1,3,7],[2,5],[4],[6],[8]]=>1010101
[[1,2,7],[3,5],[4],[6],[8]]=>0110101
[[1,3,7],[2,4],[5],[6],[8]]=>1011101
[[1,2,7],[3,4],[5],[6],[8]]=>0101101
[[1,5,6],[2,7],[3],[4],[8]]=>1110011
[[1,4,6],[2,7],[3],[5],[8]]=>1101011
[[1,3,6],[2,7],[4],[5],[8]]=>1011011
[[1,2,6],[3,7],[4],[5],[8]]=>0111011
[[1,4,5],[2,7],[3],[6],[8]]=>1100101
[[1,3,5],[2,7],[4],[6],[8]]=>1010101
[[1,2,5],[3,7],[4],[6],[8]]=>0110101
[[1,3,4],[2,7],[5],[6],[8]]=>1001101
[[1,2,4],[3,7],[5],[6],[8]]=>0101101
[[1,2,3],[4,7],[5],[6],[8]]=>0011101
[[1,4,6],[2,5],[3],[7],[8]]=>1101011
[[1,3,6],[2,5],[4],[7],[8]]=>1010011
[[1,2,6],[3,5],[4],[7],[8]]=>0110011
[[1,3,6],[2,4],[5],[7],[8]]=>1011011
[[1,2,6],[3,4],[5],[7],[8]]=>0101011
[[1,4,5],[2,6],[3],[7],[8]]=>1100111
[[1,3,5],[2,6],[4],[7],[8]]=>1010111
[[1,2,5],[3,6],[4],[7],[8]]=>0110111
[[1,3,4],[2,6],[5],[7],[8]]=>1001011
[[1,2,4],[3,6],[5],[7],[8]]=>0101011
[[1,2,3],[4,6],[5],[7],[8]]=>0011011
[[1,3,5],[2,4],[6],[7],[8]]=>1010111
[[1,2,5],[3,4],[6],[7],[8]]=>0100111
[[1,3,4],[2,5],[6],[7],[8]]=>1001111
[[1,2,4],[3,5],[6],[7],[8]]=>0101111
[[1,2,3],[4,5],[6],[7],[8]]=>0010111
[[1,7,8],[2],[3],[4],[5],[6]]=>1111100
[[1,6,8],[2],[3],[4],[5],[7]]=>1111010
[[1,5,8],[2],[3],[4],[6],[7]]=>1110110
[[1,4,8],[2],[3],[5],[6],[7]]=>1101110
[[1,3,8],[2],[4],[5],[6],[7]]=>1011110
[[1,2,8],[3],[4],[5],[6],[7]]=>0111110
[[1,6,7],[2],[3],[4],[5],[8]]=>1111001
[[1,5,7],[2],[3],[4],[6],[8]]=>1110101
[[1,4,7],[2],[3],[5],[6],[8]]=>1101101
[[1,3,7],[2],[4],[5],[6],[8]]=>1011101
[[1,2,7],[3],[4],[5],[6],[8]]=>0111101
[[1,5,6],[2],[3],[4],[7],[8]]=>1110011
[[1,4,6],[2],[3],[5],[7],[8]]=>1101011
[[1,3,6],[2],[4],[5],[7],[8]]=>1011011
[[1,2,6],[3],[4],[5],[7],[8]]=>0111011
[[1,4,5],[2],[3],[6],[7],[8]]=>1100111
[[1,3,5],[2],[4],[6],[7],[8]]=>1010111
[[1,2,5],[3],[4],[6],[7],[8]]=>0110111
[[1,3,4],[2],[5],[6],[7],[8]]=>1001111
[[1,2,4],[3],[5],[6],[7],[8]]=>0101111
[[1,2,3],[4],[5],[6],[7],[8]]=>0011111
[[1,5],[2,6],[3,7],[4,8]]=>1110111
[[1,4],[2,6],[3,7],[5,8]]=>1101011
[[1,3],[2,6],[4,7],[5,8]]=>1011011
[[1,2],[3,6],[4,7],[5,8]]=>0111011
[[1,4],[2,5],[3,7],[6,8]]=>1101101
[[1,3],[2,5],[4,7],[6,8]]=>1010101
[[1,2],[3,5],[4,7],[6,8]]=>0110101
[[1,3],[2,4],[5,7],[6,8]]=>1011101
[[1,2],[3,4],[5,7],[6,8]]=>0101101
[[1,4],[2,5],[3,6],[7,8]]=>1101110
[[1,3],[2,5],[4,6],[7,8]]=>1010110
[[1,2],[3,5],[4,6],[7,8]]=>0110110
[[1,3],[2,4],[5,6],[7,8]]=>1011010
[[1,2],[3,4],[5,6],[7,8]]=>0101010
[[1,6],[2,7],[3,8],[4],[5]]=>1111011
[[1,5],[2,7],[3,8],[4],[6]]=>1110101
[[1,4],[2,7],[3,8],[5],[6]]=>1101101
[[1,3],[2,7],[4,8],[5],[6]]=>1011101
[[1,2],[3,7],[4,8],[5],[6]]=>0111101
[[1,5],[2,6],[3,8],[4],[7]]=>1110110
[[1,4],[2,6],[3,8],[5],[7]]=>1101010
[[1,3],[2,6],[4,8],[5],[7]]=>1011010
[[1,2],[3,6],[4,8],[5],[7]]=>0111010
[[1,4],[2,5],[3,8],[6],[7]]=>1101110
[[1,3],[2,5],[4,8],[6],[7]]=>1010110
[[1,2],[3,5],[4,8],[6],[7]]=>0110110
[[1,3],[2,4],[5,8],[6],[7]]=>1011110
[[1,2],[3,4],[5,8],[6],[7]]=>0101110
[[1,5],[2,6],[3,7],[4],[8]]=>1110111
[[1,4],[2,6],[3,7],[5],[8]]=>1101011
[[1,3],[2,6],[4,7],[5],[8]]=>1011011
[[1,2],[3,6],[4,7],[5],[8]]=>0111011
[[1,4],[2,5],[3,7],[6],[8]]=>1101101
[[1,3],[2,5],[4,7],[6],[8]]=>1010101
[[1,2],[3,5],[4,7],[6],[8]]=>0110101
[[1,3],[2,4],[5,7],[6],[8]]=>1011101
[[1,2],[3,4],[5,7],[6],[8]]=>0101101
[[1,4],[2,5],[3,6],[7],[8]]=>1101111
[[1,3],[2,5],[4,6],[7],[8]]=>1010111
[[1,2],[3,5],[4,6],[7],[8]]=>0110111
[[1,3],[2,4],[5,6],[7],[8]]=>1011011
[[1,2],[3,4],[5,6],[7],[8]]=>0101011
[[1,7],[2,8],[3],[4],[5],[6]]=>1111101
[[1,6],[2,8],[3],[4],[5],[7]]=>1111010
[[1,5],[2,8],[3],[4],[6],[7]]=>1110110
[[1,4],[2,8],[3],[5],[6],[7]]=>1101110
[[1,3],[2,8],[4],[5],[6],[7]]=>1011110
[[1,2],[3,8],[4],[5],[6],[7]]=>0111110
[[1,6],[2,7],[3],[4],[5],[8]]=>1111011
[[1,5],[2,7],[3],[4],[6],[8]]=>1110101
[[1,4],[2,7],[3],[5],[6],[8]]=>1101101
[[1,3],[2,7],[4],[5],[6],[8]]=>1011101
[[1,2],[3,7],[4],[5],[6],[8]]=>0111101
[[1,5],[2,6],[3],[4],[7],[8]]=>1110111
[[1,4],[2,6],[3],[5],[7],[8]]=>1101011
[[1,3],[2,6],[4],[5],[7],[8]]=>1011011
[[1,2],[3,6],[4],[5],[7],[8]]=>0111011
[[1,4],[2,5],[3],[6],[7],[8]]=>1101111
[[1,3],[2,5],[4],[6],[7],[8]]=>1010111
[[1,2],[3,5],[4],[6],[7],[8]]=>0110111
[[1,3],[2,4],[5],[6],[7],[8]]=>1011111
[[1,2],[3,4],[5],[6],[7],[8]]=>0101111
[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110
[[1,7],[2],[3],[4],[5],[6],[8]]=>1111101
[[1,6],[2],[3],[4],[5],[7],[8]]=>1111011
[[1,5],[2],[3],[4],[6],[7],[8]]=>1110111
[[1,4],[2],[3],[5],[6],[7],[8]]=>1101111
[[1,3],[2],[4],[5],[6],[7],[8]]=>1011111
[[1,2],[3],[4],[5],[6],[7],[8]]=>0111111
[[1],[2],[3],[4],[5],[6],[7],[8]]=>1111111
[[1,2,3,4,5,6,7,8,9]]=>00000000
[[1,2,3,4,5,6,7,8],[9]]=>00000001
[[1,2,3,4,5,6,7],[8,9]]=>00000010
[[1,2,3,4,5,6,7],[8],[9]]=>00000011
[[1,2,3,4,5,6],[7,8,9]]=>00000100
[[1,2,3,4,5,6],[7,8],[9]]=>00000101
[[1,2,3,4,5,6],[7],[8],[9]]=>00000111
[[1,2,3,4,5],[6,7,8,9]]=>00001000
[[1,2,3,4,5],[6,7,8],[9]]=>00001001
[[1,2,3,4,5],[6,7],[8,9]]=>00001010
[[1,2,3,4,5],[6,7],[8],[9]]=>00001011
[[1,2,3,4,5],[6],[7],[8],[9]]=>00001111
[[1,2,3,4],[5,6,7,8],[9]]=>00010001
[[1,2,3,4],[5,6,7],[8,9]]=>00010010
[[1,2,3,4],[5,6,7],[8],[9]]=>00010011
[[1,2,3,4],[5,6],[7,8],[9]]=>00010101
[[1,2,3,4],[5,6],[7],[8],[9]]=>00010111
[[1,2,3,4],[5],[6],[7],[8],[9]]=>00011111
[[1,2,3],[4,5,6],[7,8,9]]=>00100100
[[1,2,3],[4,5,6],[7,8],[9]]=>00100101
[[1,2,3],[4,5,6],[7],[8],[9]]=>00100111
[[1,2,3],[4,5],[6,7],[8,9]]=>00101010
[[1,2,3],[4,5],[6,7],[8],[9]]=>00101011
[[1,2,3],[4,5],[6],[7],[8],[9]]=>00101111
[[1,2,3],[4],[5],[6],[7],[8],[9]]=>00111111
[[1,2],[3,4],[5,6],[7,8],[9]]=>01010101
[[1,2],[3,4],[5,6],[7],[8],[9]]=>01010111
[[1,2],[3,4],[5],[6],[7],[8],[9]]=>01011111
[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>01111111
[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>11111111
[[1,3,4,5,6,7,8,9],[2]]=>10000000
[[1,2,5,6,7,8,9],[3,4]]=>01000000
[[1,4,5,6,7,8,9],[2],[3]]=>11000000
[[1,2,3,7,8,9],[4,5,6]]=>00100000
[[1,3,6,7,8,9],[2,5],[4]]=>10100000
[[1,5,6,7,8,9],[2],[3],[4]]=>11100000
[[1,2,3,4,9],[5,6,7,8]]=>00010000
[[1,3,4,8,9],[2,6,7],[5]]=>10010000
[[1,2,7,8,9],[3,4],[5,6]]=>01010000
[[1,4,7,8,9],[2,6],[3],[5]]=>11010000
[[1,6,7,8,9],[2],[3],[4],[5]]=>11110000
[[1,3,4,5],[2,7,8,9],[6]]=>10001000
[[1,2,5,9],[3,4,8],[6,7]]=>01001000
[[1,4,5,9],[2,7,8],[3],[6]]=>11001000
[[1,3,8,9],[2,5],[4,7],[6]]=>10101000
[[1,5,8,9],[2,7],[3],[4],[6]]=>11101000
[[1,7,8,9],[2],[3],[4],[5],[6]]=>11111000
[[1,3,6],[2,5,9],[4,8],[7]]=>10100100
[[1,5,6],[2,8,9],[3],[4],[7]]=>11100100
[[1,2,9],[3,4],[5,6],[7,8]]=>01010100
[[1,4,9],[2,6],[3,8],[5],[7]]=>11010100
[[1,6,9],[2,8],[3],[4],[5],[7]]=>11110100
[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100
[[1,3],[2,5],[4,7],[6,9],[8]]=>10101010
[[1,5],[2,7],[3,9],[4],[6],[8]]=>11101010
[[1,7],[2,9],[3],[4],[5],[6],[8]]=>11111010
[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110
[[1,8],[2,9],[3],[4],[5],[6],[7]]=>11111101
[[1,7],[2,8],[3,9],[4],[5],[6]]=>11111011
[[1,7,9],[2,8],[3],[4],[5],[6]]=>11111010
[[1,6],[2,7],[3,8],[4,9],[5]]=>11110111
[[1,6,9],[2,7],[3,8],[4],[5]]=>11110110
[[1,6,8],[2,7,9],[3],[4],[5]]=>11110101
[[1,6,8,9],[2,7],[3],[4],[5]]=>11110100
[[1,5,9],[2,6],[3,7],[4,8]]=>11101110
[[1,5,8],[2,6,9],[3,7],[4]]=>11101101
[[1,5,8,9],[2,6],[3,7],[4]]=>11101100
[[1,5,7,9],[2,6,8],[3],[4]]=>11101010
[[1,5,7,8,9],[2,6],[3],[4]]=>11101000
[[1,4,7],[2,5,8],[3,6,9]]=>11011011
[[1,4,7,9],[2,5,8],[3,6]]=>11011010
[[1,4,7,8,9],[2,5],[3,6]]=>11011000
[[1,4,6,8],[2,5,7,9],[3]]=>11010101
[[1,4,6,8,9],[2,5,7],[3]]=>11010100
[[1,4,6,7,8,9],[2,5],[3]]=>11010000
[[1,3,5,7,9],[2,4,6,8]]=>10101010
[[1,3,5,7,8,9],[2,4,6]]=>10101000
[[1,3,5,6,7,8,9],[2,4]]=>10100000
[[1,3],[2,4],[5],[6],[7],[8],[9]]=>10111111
[[1,4],[2,5],[3,6],[7],[8],[9]]=>11011111
[[1,2,4],[3,5],[6],[7],[8],[9]]=>01011111
[[1,5],[2,6],[3,7],[4,8],[9]]=>11101111
[[1,2,5],[3,6],[4,7],[8],[9]]=>01101111
[[1,3,5],[2,4,6],[7],[8],[9]]=>10101111
[[1,2,3,5],[4,6],[7],[8],[9]]=>00101111
[[1,2,6],[3,7],[4,8],[5,9]]=>01110111
[[1,3,6],[2,4,7],[5,8],[9]]=>10110111
[[1,2,3,6],[4,7],[5,8],[9]]=>00110111
[[1,2,4,6],[3,5,7],[8],[9]]=>01010111
[[1,2,3,4,6],[5,7],[8],[9]]=>00010111
[[1,2,4,7],[3,5,8],[6,9]]=>01011011
[[1,2,3,4,7],[5,8],[6,9]]=>00011011
[[1,3,5,7],[2,4,6,8],[9]]=>10101011
[[1,2,3,5,7],[4,6,8],[9]]=>00101011
[[1,2,3,4,5,7],[6,8],[9]]=>00001011
[[1,2,4,6,8],[3,5,7,9]]=>01010101
[[1,2,3,4,6,8],[5,7,9]]=>00010101
[[1,2,3,4,5,6,8],[7,9]]=>00000101
[[1,2,3,4,5,6,7,9],[8]]=>00000010
[[1,2,3,4,5,6,9],[7,8]]=>00000100
[[1,2,3,4,5,6,9],[7],[8]]=>00000110
[[1,2,3,4,5,9],[6,7,8]]=>00001000
[[1,2,3,4,5,9],[6,7],[8]]=>00001010
[[1,2,3,4,5,9],[6],[7],[8]]=>00001110
[[1,2,3,4,9],[5,6,7],[8]]=>00010010
[[1,2,3,4,9],[5,6],[7,8]]=>00010100
[[1,2,3,4,9],[5,6],[7],[8]]=>00010110
[[1,2,3,4,9],[5],[6],[7],[8]]=>00011110
[[1,2,3,7],[4,5,6,9],[8]]=>00100010
[[1,2,3,9],[4,5,6],[7,8]]=>00100100
[[1,2,3,9],[4,5,6],[7],[8]]=>00100110
[[1,2,3,9],[4,5],[6,7],[8]]=>00101010
[[1,2,3,9],[4,5],[6],[7],[8]]=>00101110
[[1,2,3,9],[4],[5],[6],[7],[8]]=>00111110
[[1,2,5],[3,4,8],[6,7,9]]=>01001001
[[1,2,5],[3,4,9],[6,7],[8]]=>01001010
[[1,2,5],[3,4,9],[6],[7],[8]]=>01001110
[[1,2,9],[3,4],[5,6],[7],[8]]=>01010110
[[1,2,9],[3,4],[5],[6],[7],[8]]=>01011110
[[1,2,9],[3],[4],[5],[6],[7],[8]]=>01111110
[[1,3],[2,5],[4,9],[6],[7],[8]]=>10101110
[[1,3],[2,9],[4],[5],[6],[7],[8]]=>10111110
[[1,2,4,5,6,7,8,9],[3]]=>01000000
[[1,3,4,6,7,8,9],[2,5]]=>10010000
[[1,3,5,6,7,8,9],[2],[4]]=>10100000
[[1,3,5,6,8,9],[2,4,7]]=>10100100
[[1,2,4,7,8,9],[3,5],[6]]=>01011000
[[1,4,6,7,8,9],[2],[3],[5]]=>11010000
[[1,3,5,7,8],[2,4,6,9]]=>10101001
[[1,2,5,7,9],[3,6,8],[4]]=>01101010
[[1,4,6,8,9],[2,5],[3,7]]=>11010100
[[1,3,5,8,9],[2,6],[4],[7]]=>10101100
[[1,5,7,8,9],[2],[3],[4],[6]]=>11101000
[[1,2,5,6],[3,7,8,9],[4]]=>01100100
[[1,3,4,7],[2,6,8],[5,9]]=>10010011
[[1,3,6,8],[2,7,9],[4],[5]]=>10110101
[[1,2,6,9],[3,4],[5,7],[8]]=>01010110
[[1,4,6,9],[2,7],[3],[5],[8]]=>11010110
[[1,6,8,9],[2],[3],[4],[5],[7]]=>11110100
[[1,2,4],[3,5,7],[6,8],[9]]=>01011011
[[1,4,7],[2,8,9],[3],[5],[6]]=>11011010
[[1,5,8],[2,6],[3,7],[4,9]]=>11101101
[[1,3,7],[2,5],[4,8],[6],[9]]=>10101011
[[1,5,7],[2,8],[3],[4],[6],[9]]=>11101011
[[1,7,9],[2],[3],[4],[5],[6],[8]]=>11111010
[[1,4],[2,6],[3,8],[5],[7],[9]]=>11010101
[[1,6],[2,8],[3],[4],[5],[7],[9]]=>11110101
[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>11111101
[[1,3,4,5,6,7,8],[2,9]]=>10000001
[[1,3,4,5,6,7,8],[2],[9]]=>10000001
[[1,3,4,5,6,7],[2,8,9]]=>10000010
[[1,3,4,5,6,7],[2,9],[8]]=>10000010
[[1,3,4,5,6,7],[2],[8],[9]]=>10000011
[[1,3,4,5,6],[2,7,8,9]]=>10000100
[[1,3,4,5,6],[2,8,9],[7]]=>10000100
[[1,3,4,5,6],[2,8],[7,9]]=>10000101
[[1,3,4,5,6],[2,8],[7],[9]]=>10000101
[[1,3,4,5,6],[2],[7],[8],[9]]=>10000111
[[1,3,4,5],[2,7,8],[6,9]]=>10001001
[[1,3,4,5],[2,7,8],[6],[9]]=>10001001
[[1,3,4,5],[2,7],[6,9],[8]]=>10001010
[[1,3,4,5],[2,7],[6],[8],[9]]=>10001011
[[1,3,4,5],[2],[6],[7],[8],[9]]=>10001111
[[1,3,4],[2,6,7],[5,8,9]]=>10010010
[[1,3,4],[2,6,7],[5,9],[8]]=>10010010
[[1,3,4],[2,6,7],[5],[8],[9]]=>10010011
[[1,3,4],[2,6],[5,8],[7,9]]=>10010101
[[1,3,4],[2,6],[5,8],[7],[9]]=>10010101
[[1,3,4],[2,6],[5],[7],[8],[9]]=>10010111
[[1,3,4],[2],[5],[6],[7],[8],[9]]=>10011111
[[1,3],[2,5],[4,7],[6],[8],[9]]=>10101011
[[1,3],[2,5],[4],[6],[7],[8],[9]]=>10101111
[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>10111111
[[1,2,5,6,7,8],[3,4,9]]=>01000001
[[1,2,5,6,7,8],[3,4],[9]]=>01000001
[[1,4,5,6,7,8],[2],[3],[9]]=>11000001
[[1,2,3,7,8],[4,5,6,9]]=>00100001
[[1,2,3,7,8],[4,5,6],[9]]=>00100001
[[1,3,6,7,8],[2,5],[4,9]]=>10100001
[[1,3,6,7,8],[2,5],[4],[9]]=>10100001
[[1,5,6,7,8],[2],[3],[4],[9]]=>11100001
[[1,3,4,8],[2,6,7],[5,9]]=>10010001
[[1,3,4,8],[2,6,7],[5],[9]]=>10010001
[[1,2,7,8],[3,4],[5,6],[9]]=>01010001
[[1,4,7,8],[2,6],[3],[5],[9]]=>11010001
[[1,6,7,8],[2],[3],[4],[5],[9]]=>11110001
[[1,2,5],[3,4,8],[6,7],[9]]=>01001001
[[1,4,5],[2,7,8],[3],[6],[9]]=>11001001
[[1,3,8],[2,5],[4,7],[6,9]]=>10101001
[[1,3,8],[2,5],[4,7],[6],[9]]=>10101001
[[1,5,8],[2,7],[3],[4],[6],[9]]=>11101001
[[1,7,8],[2],[3],[4],[5],[6],[9]]=>11111001
[[1,2,3,6,7,8,9],[4,5]]=>00100000
[[1,2,5,6,7,8,9],[3],[4]]=>01100000
[[1,2,3,4,8,9],[5,6,7]]=>00010000
[[1,2,4,7,8,9],[3,6],[5]]=>01010000
[[1,2,6,7,8,9],[3],[4],[5]]=>01110000
[[1,2,4,5,9],[3,7,8],[6]]=>01001000
[[1,2,3,8,9],[4,5],[6,7]]=>00101000
[[1,2,5,8,9],[3,7],[4],[6]]=>01101000
[[1,2,7,8,9],[3],[4],[5],[6]]=>01111000
[[1,2,5,6],[3,4,8,9],[7]]=>01000100
[[1,2,3,6],[4,5,9],[7,8]]=>00100100
[[1,2,5,6],[3,8,9],[4],[7]]=>01100100
[[1,2,4,9],[3,6],[5,8],[7]]=>01010100
[[1,2,6,9],[3,8],[4],[5],[7]]=>01110100
[[1,2,8,9],[3],[4],[5],[6],[7]]=>01111100
[[1,2,4],[3,6,7],[5,9],[8]]=>01010010
[[1,2,7],[3,6,9],[4],[5],[8]]=>01110010
[[1,2,5],[3,7],[4,9],[6],[8]]=>01101010
[[1,2,7],[3,9],[4],[5],[6],[8]]=>01111010
[[1,2],[3,6],[4,8],[5],[7],[9]]=>01110101
[[1,2],[3,8],[4],[5],[6],[7],[9]]=>01111101
[[1,2,3,4,7,8,9],[5,6]]=>00010000
[[1,2,4,5,8,9],[3,7],[6]]=>01001000
[[1,2,4,5,6,7],[3,9],[8]]=>01000010
[[1,2,5,6,9],[3,8],[4],[7]]=>01100100
[[1,2,3,4,7,8],[5,6],[9]]=>00010001
[[1,2,5,6,7,8],[3],[4],[9]]=>01100001
[[1,2,4,5],[3,7],[6,9],[8]]=>01001010
[[1,2,6,7],[3,9],[4],[5],[8]]=>01110010
[[1,2,5,6],[3,8],[4],[7],[9]]=>01100101
[[1,2,7,8],[3],[4],[5],[6],[9]]=>01111001
[[1,2],[3,5],[4],[6],[7],[8],[9]]=>01101111
[[1,2,4],[3],[5],[6],[7],[8],[9]]=>01011111
[[1,2],[3,4],[5,7],[6],[8],[9]]=>01011011
[[1,3,6],[2,5],[4],[7],[8],[9]]=>10100111
[[1,2,3,5],[4],[6],[7],[8],[9]]=>00101111
[[1,2],[3,4],[5,6],[7,9],[8]]=>01010110
[[1,2,3],[4,5,7],[6],[8],[9]]=>00101011
[[1,2,4,7],[3,6],[5],[8],[9]]=>01010011
[[1,2,3,4,6],[5],[7],[8],[9]]=>00010111
[[1,3,4],[2,7],[5,8],[6,9]]=>10011011
[[1,2,5],[3,6,9],[4,8],[7]]=>01101100
[[1,3,5,8],[2,4,7],[6],[9]]=>10101001
[[1,2,3,5,8],[4,7],[6],[9]]=>00101001
[[1,2,3,4,5,7],[6],[8],[9]]=>00001011
[[1,3,6,9],[2,5,8],[4,7]]=>10100100
[[1,2,3,5,6],[4,8],[7,9]]=>00100101
[[1,2,3,4],[5,6,7,9],[8]]=>00010010
[[1,2,4,6,9],[3,5,8],[7]]=>01010100
[[1,2,3,4,6,9],[5,8],[7]]=>00010100
[[1,2,3,4,5,6,8],[7],[9]]=>00000101
[[1,2,3,5,7,9],[4,6,8]]=>00101010
[[1,2,3,4,5,7,9],[6,8]]=>00001010
[[1,2,8],[3,9],[4],[5],[6],[7]]=>01111101
[[1,2,7],[3,8],[4,9],[5],[6]]=>01111011
[[1,2,7,9],[3,8],[4],[5],[6]]=>01111010
[[1,2,6,9],[3,7],[4,8],[5]]=>01110110
[[1,2,6,8],[3,7,9],[4],[5]]=>01110101
[[1,2,6,8,9],[3,7],[4],[5]]=>01110100
[[1,2,5,8],[3,6,9],[4,7]]=>01101101
[[1,2,5,8,9],[3,6],[4,7]]=>01101100
[[1,2,5,7,8,9],[3,6],[4]]=>01101000
[[1,2,4,6,8,9],[3,5,7]]=>01010100
[[1,2,4,6,7,8,9],[3,5]]=>01010000
[[1,5],[2,6],[3],[4],[7],[8],[9]]=>11101111
[[1,3,6],[2,7],[4],[5],[8],[9]]=>10110111
[[1,3,8],[2,9],[4],[5],[6],[7]]=>10111101
[[1,5,7],[2,6,8],[3],[4],[9]]=>11101011
[[1,3,4,7],[2,8],[5],[6],[9]]=>10011011
[[1,5,9],[2,6],[3],[4],[7],[8]]=>11101110
[[1,3,4,9],[2],[5],[6],[7],[8]]=>10011110
[[1,3,4,5,8],[2,9],[6],[7]]=>10001101
[[1,3,4,7,9],[2,8],[5],[6]]=>10011010
[[1,3,4,5,6,9],[2],[7],[8]]=>10000110
[[1,6],[2,8],[3,9],[4],[5],[7]]=>11110101
[[1,6,8],[2,9],[3],[4],[5],[7]]=>11110101
[[1,5],[2,7],[3,8],[4,9],[6]]=>11101011
[[1,5,8],[2,7],[3,9],[4],[6]]=>11101001
[[1,5,7],[2,8,9],[3],[4],[6]]=>11101010
[[1,5,7,9],[2,8],[3],[4],[6]]=>11101010
[[1,4,8],[2,6],[3,7],[5,9]]=>11010101
[[1,4,7],[2,6,9],[3,8],[5]]=>11010010
[[1,4,7,9],[2,6],[3,8],[5]]=>11010010
[[1,4,6,8],[2,7,9],[3],[5]]=>11010101
[[1,4,6,8,9],[2,7],[3],[5]]=>11010100
[[1,3,6],[2,5,8],[4,7,9]]=>10100101
[[1,3,6,8],[2,5,9],[4,7]]=>10100101
[[1,3,6,8,9],[2,5],[4,7]]=>10100100
[[1,3,5,7],[2,6,8,9],[4]]=>10101010
[[1,3,5,7,9],[2,6,8],[4]]=>10101010
[[1,3,5,7,8,9],[2,6],[4]]=>10101000
[[1,7],[2,8],[3],[4],[5],[6],[9]]=>11111011
[[1,6],[2,7],[3,8],[4],[5],[9]]=>11110111
[[1,6,8],[2,7],[3],[4],[5],[9]]=>11110101
[[1,5,8],[2,6],[3,7],[4],[9]]=>11101101
[[1,5,7,8],[2,6],[3],[4],[9]]=>11101001
[[1,4,8],[2,5],[3,6],[7,9]]=>11011101
[[1,4,7],[2,5,8],[3,6],[9]]=>11011011
[[1,4,7,8],[2,5],[3,6],[9]]=>11011001
[[1,4,6,8],[2,5,7],[3],[9]]=>11010101
[[1,4,6,7,8],[2,5],[3],[9]]=>11010001
[[1,3,6],[2,4,7],[5,8,9]]=>10110110
[[1,3,6,8],[2,4,7],[5,9]]=>10110101
[[1,3,6,7,8],[2,4],[5,9]]=>10110001
[[1,3,5,7,8],[2,4,6],[9]]=>10101001
[[1,3,5,6,7,8],[2,4],[9]]=>10100001
[[1,2,4,6,7,8],[3,5,9]]=>01010001
[[1,2,4,5,6,7,8],[3,9]]=>01000001
[[1,2],[3,9],[4],[5],[6],[7],[8]]=>01111110
[[1,2],[3,8],[4,9],[5],[6],[7]]=>01111101
[[1,2],[3,7],[4,8],[5,9],[6]]=>01111011
[[1,2,7],[3,8,9],[4],[5],[6]]=>01111010
[[1,2,6],[3,7,9],[4,8],[5]]=>01110110
[[1,2,5],[3,6,8],[4,7,9]]=>01101101
[[1,2,5,7],[3,6,8,9],[4]]=>01101010
[[1,3],[2,8],[4,9],[5],[6],[7]]=>10111101
[[1,2,3],[4,9],[5],[6],[7],[8]]=>00111110
[[1,4],[2,7],[3,8],[5,9],[6]]=>11011011
[[1,3,9],[2,4],[5,8],[6],[7]]=>10111100
[[1,2,4],[3,8,9],[5],[6],[7]]=>01011100
[[1,2,3,4],[5,9],[6],[7],[8]]=>00011110
[[1,4,9],[2,5],[3,7],[6,8]]=>11011010
[[1,2,5],[3,4,9],[6,8],[7]]=>01001100
[[1,4,5,9],[2,7],[3,8],[6]]=>11001010
[[1,2,3,5],[4,8,9],[6],[7]]=>00101100
[[1,2,3,4,5],[6,9],[7],[8]]=>00001110
[[1,4,5,6,9],[2,7],[3,8]]=>11000110
[[1,2,4,6],[3,5,8,9],[7]]=>01010100
[[1,2,3,4,6],[5,8,9],[7]]=>00010100
[[1,2,3,4,5,6],[7,9],[8]]=>00000110
[[1,2,3,5,7],[4,6,8,9]]=>00101010
[[1,2,3,4,5,7],[6,8,9]]=>00001010
[[1,3],[2,4],[5,9],[6],[7],[8]]=>10111110
[[1,3,9],[2,4],[5],[6],[7],[8]]=>10111110
[[1,4],[2,5],[3,6],[7,9],[8]]=>11011110
[[1,4,9],[2,5],[3,6],[7],[8]]=>11011110
[[1,2,4],[3,5,9],[6],[7],[8]]=>01011110
[[1,2,4,9],[3,5],[6],[7],[8]]=>01011110
[[1,2,5],[3,6,9],[4,7],[8]]=>01101110
[[1,2,5,9],[3,6],[4,7],[8]]=>01101110
[[1,3,5,9],[2,4,6],[7],[8]]=>10101110
[[1,2,3,5,9],[4,6],[7],[8]]=>00101110
[[1,3,6,9],[2,4,7],[5,8]]=>10110110
[[1,2,3,6,9],[4,7],[5,8]]=>00110110
[[1,2,4,6],[3,5,7,9],[8]]=>01010110
[[1,2,4,6,9],[3,5,7],[8]]=>01010110
[[1,2,3,4,6,9],[5,7],[8]]=>00010110
[[1,4],[2,5],[3],[6],[7],[8],[9]]=>11011111
[[1,5],[2,6],[3,7],[4],[8],[9]]=>11101111
[[1,3,5],[2,6],[4],[7],[8],[9]]=>10101111
[[1,3,6],[2,7],[4,8],[5],[9]]=>10110111
[[1,4,6],[2,5,7],[3],[8],[9]]=>11010111
[[1,3,4,6],[2,7],[5],[8],[9]]=>10010111
[[1,3,7],[2,4],[5,8],[6,9]]=>10111011
[[1,4,7],[2,5,8],[3,9],[6]]=>11011011
[[1,3,4,7],[2,8],[5,9],[6]]=>10011011
[[1,3,5,7],[2,6,8],[4],[9]]=>10101011
[[1,3,4,5,7],[2,8],[6],[9]]=>10001011
[[1,3,5,8],[2,6,9],[4,7]]=>10101101
[[1,3,4,5,8],[2,6],[7,9]]=>10001101
[[1,3,4,6,8],[2,7,9],[5]]=>10010101
[[1,3,4,5,6,8],[2,9],[7]]=>10000101
[[1,3,4,5,7,9],[2,6,8]]=>10001010
[[1,3,4,5,6,7,9],[2,8]]=>10000010
[[1,2,3,7],[4,8],[5,9],[6]]=>00111011
[[1,2,3,5,8],[4,6,9],[7]]=>00101101
[[1,2,3,4,5,8],[6,9],[7]]=>00001101
[[1,2,3,4,5,7],[6,9],[8]]=>00001010
[[1,2,3,4,6],[5,7,8,9]]=>00010100
[[1,2,3,4,6],[5,7,9],[8]]=>00010110
[[1,2,3,4,6],[5,8],[7,9]]=>00010101
[[1,2,3,4,6],[5,8],[7],[9]]=>00010101
[[1,2,3,5],[4,6,7,9],[8]]=>00101010
[[1,2,3,5],[4,6,8],[7,9]]=>00101101
[[1,2,3,5],[4,6,8],[7],[9]]=>00101101
[[1,2,3,5],[4,7],[6,9],[8]]=>00101010
[[1,2,3,5],[4,7],[6],[8],[9]]=>00101011
[[1,2,4],[3,5,7],[6,8,9]]=>01011010
[[1,2,4],[3,5,7],[6,9],[8]]=>01011010
[[1,2,4],[3,5,7],[6],[8],[9]]=>01011011
[[1,2,4],[3,6],[5,8],[7,9]]=>01010101
[[1,2,4],[3,6],[5,8],[7],[9]]=>01010101
[[1,2,4],[3,6],[5],[7],[8],[9]]=>01010111
[[1,4,5,6],[2,8,9],[3],[7]]=>11000100
[[1,2,4,5,6,7],[3,8,9]]=>01000010
[[1,4,7],[2,6],[3,9],[5],[8]]=>11010010
[[1,6,7],[2,9],[3],[4],[5],[8]]=>11110010
[[1,2,3],[4,7,8],[5],[6],[9]]=>00111001
[[1,4,5,6,7,8],[2,9],[3]]=>11000001
[[1,2,3,5,6],[4,7,8,9]]=>00100100
[[1,2,5,6,7],[3,4,8],[9]]=>01000011
[[1,3,5,6,7],[2,8],[4,9]]=>10100011
[[1,5,6,7,8],[2,9],[3],[4]]=>11100001
[[1,2,3,6],[4,5,7,8],[9]]=>00100101
[[1,3,6,7],[2,4,8],[5,9]]=>10110011
[[1,2,3,6],[4,7,8],[5],[9]]=>00110101
[[1,4,6,7],[2,8],[3,9],[5]]=>11010011
[[1,6,7,8],[2,9],[3],[4],[5]]=>11110001
[[1,3,7],[2,5],[4,8],[6,9]]=>10101011
[[1,5,7],[2,8],[3,9],[4],[6]]=>11101011
[[1,7,8],[2,9],[3],[4],[5],[6]]=>11111001
[[1,4],[2,6],[3,8],[5,9],[7]]=>11010101
[[1,3,5,7,9],[2,4,6,8,10]]=>101010101
[[1,3,5,7,8],[2,4,6,9,10]]=>101010010
[[1,3,5,6,9],[2,4,7,8,10]]=>101001001
[[1,3,5,6,8],[2,4,7,9,10]]=>101001010
[[1,3,5,6,7],[2,4,8,9,10]]=>101000100
[[1,3,4,7,9],[2,5,6,8,10]]=>100100101
[[1,3,4,7,8],[2,5,6,9,10]]=>100100010
[[1,3,4,6,9],[2,5,7,8,10]]=>100101001
[[1,3,4,6,8],[2,5,7,9,10]]=>100101010
[[1,3,4,6,7],[2,5,8,9,10]]=>100100100
[[1,3,4,5,9],[2,6,7,8,10]]=>100010001
[[1,3,4,5,8],[2,6,7,9,10]]=>100010010
[[1,3,4,5,7],[2,6,8,9,10]]=>100010100
[[1,3,4,5,6],[2,7,8,9,10]]=>100001000
[[1,2,5,7,9],[3,4,6,8,10]]=>010010101
[[1,2,5,7,8],[3,4,6,9,10]]=>010010010
[[1,2,5,6,9],[3,4,7,8,10]]=>010001001
[[1,2,5,6,8],[3,4,7,9,10]]=>010001010
[[1,2,5,6,7],[3,4,8,9,10]]=>010000100
[[1,2,4,7,9],[3,5,6,8,10]]=>010100101
[[1,2,4,7,8],[3,5,6,9,10]]=>010100010
[[1,2,4,6,9],[3,5,7,8,10]]=>010101001
[[1,2,4,6,8],[3,5,7,9,10]]=>010101010
[[1,2,4,6,7],[3,5,8,9,10]]=>010100100
[[1,2,4,5,9],[3,6,7,8,10]]=>010010001
[[1,2,4,5,8],[3,6,7,9,10]]=>010010010
[[1,2,4,5,7],[3,6,8,9,10]]=>010010100
[[1,2,4,5,6],[3,7,8,9,10]]=>010001000
[[1,2,3,7,9],[4,5,6,8,10]]=>001000101
[[1,2,3,7,8],[4,5,6,9,10]]=>001000010
[[1,2,3,6,9],[4,5,7,8,10]]=>001001001
[[1,2,3,6,8],[4,5,7,9,10]]=>001001010
[[1,2,3,6,7],[4,5,8,9,10]]=>001000100
[[1,2,3,5,9],[4,6,7,8,10]]=>001010001
[[1,2,3,5,8],[4,6,7,9,10]]=>001010010
[[1,2,3,5,7],[4,6,8,9,10]]=>001010100
[[1,2,3,5,6],[4,7,8,9,10]]=>001001000
[[1,2,3,4,9],[5,6,7,8,10]]=>000100001
[[1,2,3,4,8],[5,6,7,9,10]]=>000100010
[[1,2,3,4,7],[5,6,8,9,10]]=>000100100
[[1,2,3,4,6],[5,7,8,9,10]]=>000101000
[[1,2,3,4,5],[6,7,8,9,10]]=>000010000
[[1,2,3,4,5,6,7,8,9,10]]=>000000000
[[1,2,3,4,5,6,7,8,9],[10]]=>000000001
[[1,2,3,4,5,6,7,8],[9,10]]=>000000010
[[1,2,3,4,5,6,7,8],[9],[10]]=>000000011
[[1,2,3,4,5,6,7],[8,9,10]]=>000000100
[[1,2,3,4,5,6,7],[8,9],[10]]=>000000101
[[1,2,3,4,5,6,7],[8],[9],[10]]=>000000111
[[1,2,3,4,5,6],[7,8,9,10]]=>000001000
[[1,2,3,4,5,6],[7,8,9],[10]]=>000001001
[[1,2,3,4,5,6],[7,8],[9,10]]=>000001010
[[1,2,3,4,5,6],[7,8],[9],[10]]=>000001011
[[1,2,3,4,5,6],[7],[8],[9],[10]]=>000001111
[[1,2,3,4,5],[6,7,8,9],[10]]=>000010001
[[1,2,3,4,5],[6,7,8],[9,10]]=>000010010
[[1,2,3,4,5],[6,7,8],[9],[10]]=>000010011
[[1,2,3,4,5],[6,7],[8,9],[10]]=>000010101
[[1,2,3,4,5],[6,7],[8],[9],[10]]=>000010111
[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>000011111
[[1,2,3,4],[5,6,7,8],[9,10]]=>000100010
[[1,2,3,4],[5,6,7,8],[9],[10]]=>000100011
[[1,2,3,4],[5,6,7],[8,9,10]]=>000100100
[[1,2,3,4],[5,6,7],[8,9],[10]]=>000100101
[[1,2,3,4],[5,6,7],[8],[9],[10]]=>000100111
[[1,2,3,4],[5,6],[7,8],[9,10]]=>000101010
[[1,2,3,4],[5,6],[7,8],[9],[10]]=>000101011
[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>000101111
[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>000111111
[[1,2,3],[4,5,6],[7,8,9],[10]]=>001001001
[[1,2,3],[4,5,6],[7,8],[9,10]]=>001001010
[[1,2,3],[4,5,6],[7,8],[9],[10]]=>001001011
[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>001001111
[[1,2,3],[4,5],[6,7],[8,9],[10]]=>001010101
[[1,2,3],[4,5],[6,7],[8],[9],[10]]=>001010111
[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>001011111
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>001111111
[[1,2],[3,4],[5,6],[7,8],[9,10]]=>010101010
[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>010101011
[[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>010101111
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>010111111
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>011111111
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>111111111
[[1,3,4,5,6,7,8,9,10],[2]]=>100000000
[[1,2,5,6,7,8,9,10],[3,4]]=>010000000
[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000
[[1,2,3,7,8,9,10],[4,5,6]]=>001000000
[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000
[[1,5,6,7,8,9,10],[2],[3],[4]]=>111000000
[[1,2,3,4,9,10],[5,6,7,8]]=>000100000
[[1,3,4,8,9,10],[2,6,7],[5]]=>100100000
[[1,2,7,8,9,10],[3,4],[5,6]]=>010100000
[[1,4,7,8,9,10],[2,6],[3],[5]]=>110100000
[[1,6,7,8,9,10],[2],[3],[4],[5]]=>111100000
[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000
[[1,2,5,9,10],[3,4,8],[6,7]]=>010010000
[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000
[[1,3,8,9,10],[2,5],[4,7],[6]]=>101010000
[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000
[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>111110000
[[1,2,5,6],[3,4,9,10],[7,8]]=>010001000
[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000
[[1,2,3,10],[4,5,6],[7,8,9]]=>001001000
[[1,3,6,10],[2,5,9],[4,8],[7]]=>101001000
[[1,5,6,10],[2,8,9],[3],[4],[7]]=>111001000
[[1,2,9,10],[3,4],[5,6],[7,8]]=>010101000
[[1,4,9,10],[2,6],[3,8],[5],[7]]=>110101000
[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>111101000
[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>111111000
[[1,3,4],[2,6,7],[5,9,10],[8]]=>100100100
[[1,2,7],[3,4,10],[5,6],[8,9]]=>010100100
[[1,4,7],[2,6,10],[3,9],[5],[8]]=>110100100
[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100
[[1,3,10],[2,5],[4,7],[6,9],[8]]=>101010100
[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>111010100
[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>111110100
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>111111100
[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>110101010
[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>111101010
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>111111101
[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>111111011
[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>111111010
[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>111110111
[[1,7,10],[2,8],[3,9],[4],[5],[6]]=>111110110
[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>111110101
[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>111110100
[[1,6],[2,7],[3,8],[4,9],[5,10]]=>111101111
[[1,6,10],[2,7],[3,8],[4,9],[5]]=>111101110
[[1,6,9],[2,7,10],[3,8],[4],[5]]=>111101101
[[1,6,9,10],[2,7],[3,8],[4],[5]]=>111101100
[[1,6,8,10],[2,7,9],[3],[4],[5]]=>111101010
[[1,6,8,9,10],[2,7],[3],[4],[5]]=>111101000
[[1,5,9],[2,6,10],[3,7],[4,8]]=>111011101
[[1,5,9,10],[2,6],[3,7],[4,8]]=>111011100
[[1,5,8],[2,6,9],[3,7,10],[4]]=>111011011
[[1,5,8,10],[2,6,9],[3,7],[4]]=>111011010
[[1,5,8,9,10],[2,6],[3,7],[4]]=>111011000
[[1,5,7,9],[2,6,8,10],[3],[4]]=>111010101
[[1,5,7,9,10],[2,6,8],[3],[4]]=>111010100
[[1,5,7,8,9,10],[2,6],[3],[4]]=>111010000
[[1,4,7,10],[2,5,8],[3,6,9]]=>110110110
[[1,4,7,9],[2,5,8,10],[3,6]]=>110110101
[[1,4,7,9,10],[2,5,8],[3,6]]=>110110100
[[1,4,7,8,9,10],[2,5],[3,6]]=>110110000
[[1,4,6,8,10],[2,5,7,9],[3]]=>110101010
[[1,4,6,8,9,10],[2,5,7],[3]]=>110101000
[[1,4,6,7,8,9,10],[2,5],[3]]=>110100000
[[1,3,5,7,9,10],[2,4,6,8]]=>101010100
[[1,3,5,7,8,9,10],[2,4,6]]=>101010000
[[1,3,5,6,7,8,9,10],[2,4]]=>101000000
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>101111111
[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>110111111
[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>010111111
[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>111011111
[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>011011111
[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>101011111
[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>001011111
[[1,2,6],[3,7],[4,8],[5,9],[10]]=>011101111
[[1,3,6],[2,4,7],[5,8],[9],[10]]=>101101111
[[1,2,3,6],[4,7],[5,8],[9],[10]]=>001101111
[[1,2,4,6],[3,5,7],[8],[9],[10]]=>010101111
[[1,2,3,4,6],[5,7],[8],[9],[10]]=>000101111
[[1,3,7],[2,4,8],[5,9],[6,10]]=>101110111
[[1,2,3,7],[4,8],[5,9],[6,10]]=>001110111
[[1,4,7],[2,5,8],[3,6,9],[10]]=>110110111
[[1,2,4,7],[3,5,8],[6,9],[10]]=>010110111
[[1,2,3,4,7],[5,8],[6,9],[10]]=>000110111
[[1,3,5,7],[2,4,6,8],[9],[10]]=>101010111
[[1,2,3,5,7],[4,6,8],[9],[10]]=>001010111
[[1,2,3,4,5,7],[6,8],[9],[10]]=>000010111
[[1,2,5,8],[3,6,9],[4,7,10]]=>011011011
[[1,3,5,8],[2,4,6,9],[7,10]]=>101011011
[[1,2,3,5,8],[4,6,9],[7,10]]=>001011011
[[1,2,3,4,5,8],[6,9],[7,10]]=>000011011
[[1,2,4,6,8],[3,5,7,9],[10]]=>010101011
[[1,2,3,4,6,8],[5,7,9],[10]]=>000101011
[[1,2,3,4,5,6,8],[7,9],[10]]=>000001011
[[1,2,3,5,7,9],[4,6,8,10]]=>001010101
[[1,2,3,4,5,7,9],[6,8,10]]=>000010101
[[1,2,3,4,5,6,7,9],[8,10]]=>000000101
[[1,2],[3,4],[5,6],[7,9],[8,10]]=>010101101
[[1,2],[3,4],[5,7],[6,8],[9,10]]=>010110110
[[1,2],[3,4],[5,7],[6,9],[8,10]]=>010110101
[[1,2],[3,4],[5,8],[6,9],[7,10]]=>010111011
[[1,2],[3,5],[4,6],[7,8],[9,10]]=>011011010
[[1,2],[3,5],[4,6],[7,9],[8,10]]=>011011101
[[1,2],[3,5],[4,7],[6,8],[9,10]]=>011010110
[[1,2],[3,5],[4,7],[6,9],[8,10]]=>011010101
[[1,2],[3,5],[4,8],[6,9],[7,10]]=>011011011
[[1,2],[3,6],[4,7],[5,8],[9,10]]=>011101110
[[1,2],[3,6],[4,7],[5,9],[8,10]]=>011101101
[[1,2],[3,6],[4,8],[5,9],[7,10]]=>011101011
[[1,2],[3,7],[4,8],[5,9],[6,10]]=>011110111
[[1,3],[2,4],[5,6],[7,8],[9,10]]=>101101010
[[1,3],[2,4],[5,6],[7,9],[8,10]]=>101101101
[[1,3],[2,4],[5,7],[6,8],[9,10]]=>101110110
[[1,3],[2,4],[5,7],[6,9],[8,10]]=>101110101
[[1,3],[2,4],[5,8],[6,9],[7,10]]=>101111011
[[1,3],[2,5],[4,6],[7,8],[9,10]]=>101011010
[[1,3],[2,5],[4,6],[7,9],[8,10]]=>101011101
[[1,3],[2,5],[4,7],[6,8],[9,10]]=>101010110
[[1,3],[2,5],[4,7],[6,9],[8,10]]=>101010101
[[1,3],[2,5],[4,8],[6,9],[7,10]]=>101011011
[[1,3],[2,6],[4,7],[5,8],[9,10]]=>101101110
[[1,3],[2,6],[4,7],[5,9],[8,10]]=>101101101
[[1,3],[2,6],[4,8],[5,9],[7,10]]=>101101011
[[1,3],[2,7],[4,8],[5,9],[6,10]]=>101110111
[[1,4],[2,5],[3,6],[7,8],[9,10]]=>110111010
[[1,4],[2,5],[3,6],[7,9],[8,10]]=>110111101
[[1,4],[2,5],[3,7],[6,8],[9,10]]=>110110110
[[1,4],[2,5],[3,7],[6,9],[8,10]]=>110110101
[[1,4],[2,5],[3,8],[6,9],[7,10]]=>110111011
[[1,4],[2,6],[3,7],[5,8],[9,10]]=>110101110
[[1,4],[2,6],[3,7],[5,9],[8,10]]=>110101101
[[1,4],[2,6],[3,8],[5,9],[7,10]]=>110101011
[[1,4],[2,7],[3,8],[5,9],[6,10]]=>110110111
[[1,5],[2,6],[3,7],[4,8],[9,10]]=>111011110
[[1,5],[2,6],[3,7],[4,9],[8,10]]=>111011101
[[1,5],[2,6],[3,8],[4,9],[7,10]]=>111011011
[[1,5],[2,7],[3,8],[4,9],[6,10]]=>111010111
[[1,2,3,4,5,6,7,8,10],[9]]=>000000010
[[1,2,3,4,5,6,7,10],[8,9]]=>000000100
[[1,2,3,4,5,6,7,10],[8],[9]]=>000000110
[[1,2,3,4,5,6,10],[7,8,9]]=>000001000
[[1,2,3,4,5,6,10],[7,8],[9]]=>000001010
[[1,2,3,4,5,6,10],[7],[8],[9]]=>000001110
[[1,2,3,4,5,10],[6,7,8,9]]=>000010000
[[1,2,3,4,5,10],[6,7,8],[9]]=>000010010
[[1,2,3,4,5,10],[6,7],[8,9]]=>000010100
[[1,2,3,4,5,10],[6,7],[8],[9]]=>000010110
[[1,2,3,4,5,10],[6],[7],[8],[9]]=>000011110
[[1,2,3,4,10],[5,6,7,8],[9]]=>000100010
[[1,2,3,4,10],[5,6,7],[8,9]]=>000100100
[[1,2,3,4,10],[5,6,7],[8],[9]]=>000100110
[[1,2,3,4,10],[5,6],[7,8],[9]]=>000101010
[[1,2,3,4,10],[5,6],[7],[8],[9]]=>000101110
[[1,2,3,4,10],[5],[6],[7],[8],[9]]=>000111110
[[1,2,3,7],[4,5,6,10],[8,9]]=>001000100
[[1,2,3,7],[4,5,6,10],[8],[9]]=>001000110
[[1,2,3,10],[4,5,6],[7,8],[9]]=>001001010
[[1,2,3,10],[4,5,6],[7],[8],[9]]=>001001110
[[1,2,3,10],[4,5],[6,7],[8,9]]=>001010100
[[1,2,3,10],[4,5],[6,7],[8],[9]]=>001010110
[[1,2,3,10],[4,5],[6],[7],[8],[9]]=>001011110
[[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>001111110
[[1,2,5],[3,4,8],[6,7,10],[9]]=>010010010
[[1,2,5],[3,4,10],[6,7],[8,9]]=>010010100
[[1,2,5],[3,4,10],[6,7],[8],[9]]=>010010110
[[1,2,5],[3,4,10],[6],[7],[8],[9]]=>010011110
[[1,2,10],[3,4],[5,6],[7,8],[9]]=>010101010
[[1,2,10],[3,4],[5,6],[7],[8],[9]]=>010101110
[[1,2,10],[3,4],[5],[6],[7],[8],[9]]=>010111110
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>011111110
[[1,3],[2,5],[4,7],[6,10],[8],[9]]=>101010110
[[1,3],[2,5],[4,10],[6],[7],[8],[9]]=>101011110
[[1,3],[2,10],[4],[5],[6],[7],[8],[9]]=>101111110
[[1,2,4,5,6,7,8,9,10],[3]]=>010000000
[[1,3,4,6,7,8,9,10],[2,5]]=>100100000
[[1,3,5,6,7,8,9,10],[2],[4]]=>101000000
[[1,3,5,6,8,9,10],[2,4,7]]=>101001000
[[1,2,4,7,8,9,10],[3,5],[6]]=>010110000
[[1,4,6,7,8,9,10],[2],[3],[5]]=>110100000
[[1,3,5,7,8,10],[2,4,6,9]]=>101010010
[[1,2,5,7,9,10],[3,6,8],[4]]=>011010100
[[1,4,6,8,9,10],[2,5],[3,7]]=>110101000
[[1,3,5,8,9,10],[2,6],[4],[7]]=>101011000
[[1,5,7,8,9,10],[2],[3],[4],[6]]=>111010000
[[1,2,5,6,9],[3,7,8,10],[4]]=>011001001
[[1,3,4,7,10],[2,6,8],[5,9]]=>100100110
[[1,3,6,8,10],[2,7,9],[4],[5]]=>101101010
[[1,2,6,9,10],[3,4],[5,7],[8]]=>010101100
[[1,4,6,9,10],[2,7],[3],[5],[8]]=>110101100
[[1,6,8,9,10],[2],[3],[4],[5],[7]]=>111101000
[[1,3,4,8],[2,6,9,10],[5,7]]=>100101010
[[1,3,6,7],[2,8,9,10],[4],[5]]=>101100100
[[1,4,7,9],[2,5,8],[3,6,10]]=>110110101
[[1,4,7,9],[2,8,10],[3],[5],[6]]=>110110101
[[1,5,8,10],[2,6],[3,7],[4,9]]=>111011010
[[1,3,7,10],[2,5],[4,8],[6],[9]]=>101010110
[[1,5,7,10],[2,8],[3],[4],[6],[9]]=>111010110
[[1,7,9,10],[2],[3],[4],[5],[6],[8]]=>111110100
[[1,2,5],[3,7,8],[4,9,10],[6]]=>011010010
[[1,4,6],[2,5,9],[3,8],[7,10]]=>110101001
[[1,3,5],[2,6,8],[4,9],[7],[10]]=>101011011
[[1,5,8],[2,9,10],[3],[4],[6],[7]]=>111011010
[[1,2,8],[3,4],[5,6],[7,9],[10]]=>010101011
[[1,4,8],[2,6],[3,9],[5],[7],[10]]=>110101011
[[1,6,8],[2,9],[3],[4],[5],[7],[10]]=>111101011
[[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>111111010
[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>101010101
[[1,5],[2,7],[3,9],[4],[6],[8],[10]]=>111010101
[[1,7],[2,9],[3],[4],[5],[6],[8],[10]]=>111110101
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>111111101
[[1,3,4,5,6,7,8,9],[2,10]]=>100000001
[[1,3,4,5,6,7,8,9],[2],[10]]=>100000001
[[1,3,4,5,6,7,8],[2,9,10]]=>100000010
[[1,3,4,5,6,7,8],[2,10],[9]]=>100000010
[[1,3,4,5,6,7,8],[2],[9],[10]]=>100000011
[[1,3,4,5,6,7],[2,8,9,10]]=>100000100
[[1,3,4,5,6,7],[2,9,10],[8]]=>100000100
[[1,3,4,5,6,7],[2,9],[8,10]]=>100000101
[[1,3,4,5,6,7],[2,9],[8],[10]]=>100000101
[[1,3,4,5,6,7],[2],[8],[9],[10]]=>100000111
[[1,3,4,5,6],[2,8,9,10],[7]]=>100001000
[[1,3,4,5,6],[2,8,9],[7,10]]=>100001001
[[1,3,4,5,6],[2,8,9],[7],[10]]=>100001001
[[1,3,4,5,6],[2,8],[7,10],[9]]=>100001010
[[1,3,4,5,6],[2,8],[7],[9],[10]]=>100001011
[[1,3,4,5,6],[2],[7],[8],[9],[10]]=>100001111
[[1,3,4,5],[2,7,8,9],[6,10]]=>100010001
[[1,3,4,5],[2,7,8,9],[6],[10]]=>100010001
[[1,3,4,5],[2,7,8],[6,9,10]]=>100010010
[[1,3,4,5],[2,7,8],[6,10],[9]]=>100010010
[[1,3,4,5],[2,7,8],[6],[9],[10]]=>100010011
[[1,3,4,5],[2,7],[6,9],[8,10]]=>100010101
[[1,3,4,5],[2,7],[6,9],[8],[10]]=>100010101
[[1,3,4,5],[2,7],[6],[8],[9],[10]]=>100010111
[[1,3,4,5],[2],[6],[7],[8],[9],[10]]=>100011111
[[1,3,4],[2,6,7],[5,9],[8,10]]=>100100101
[[1,3,4],[2,6,7],[5,9],[8],[10]]=>100100101
[[1,3,4],[2,6,7],[5],[8],[9],[10]]=>100100111
[[1,3,4],[2,6],[5,8],[7,10],[9]]=>100101010
[[1,3,4],[2,6],[5,8],[7],[9],[10]]=>100101011
[[1,3,4],[2,6],[5],[7],[8],[9],[10]]=>100101111
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]]=>100111111
[[1,3],[2,5],[4,7],[6],[8],[9],[10]]=>101010111
[[1,3],[2,5],[4],[6],[7],[8],[9],[10]]=>101011111
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>101111111
[[1,2,4,6,8,10],[3,5,7,9]]=>010101010
[[1,2,4,6,8,9,10],[3,5,7]]=>010101000
[[1,2,4,6,7,8,10],[3,5,9]]=>010100010
[[1,2,4,6,7,9,10],[3,5,8]]=>010100100
[[1,2,4,6,7,8,9,10],[3,5]]=>010100000
[[1,2,4,5,6,8,10],[3,7,9]]=>010001010
[[1,2,4,5,6,9,10],[3,7,8]]=>010001000
[[1,2,4,5,7,8,10],[3,6,9]]=>010010010
[[1,2,4,5,7,9,10],[3,6,8]]=>010010100
[[1,2,4,5,7,8,9,10],[3,6]]=>010010000
[[1,2,4,5,6,7,8,10],[3,9]]=>010000010
[[1,2,4,5,6,7,9,10],[3,8]]=>010000100
[[1,2,4,5,6,8,9,10],[3,7]]=>010001000
[[1,2,3,4,6,8,10],[5,7,9]]=>000101010
[[1,2,3,4,6,9,10],[5,7,8]]=>000101000
[[1,2,3,4,7,8,10],[5,6,9]]=>000100010
[[1,2,3,4,7,9,10],[5,6,8]]=>000100100
[[1,2,3,4,7,8,9,10],[5,6]]=>000100000
[[1,2,3,5,6,8,10],[4,7,9]]=>001001010
[[1,2,3,5,6,9,10],[4,7,8]]=>001001000
[[1,2,3,5,7,8,10],[4,6,9]]=>001010010
[[1,2,3,5,7,9,10],[4,6,8]]=>001010100
[[1,2,3,5,7,8,9,10],[4,6]]=>001010000
[[1,2,3,5,6,7,8,10],[4,9]]=>001000010
[[1,2,3,5,6,7,9,10],[4,8]]=>001000100
[[1,2,3,5,6,8,9,10],[4,7]]=>001001000
[[1,2,3,5,6,7,8,9,10],[4]]=>001000000
[[1,2,3,4,5,6,8,10],[7,9]]=>000001010
[[1,2,3,4,5,6,9,10],[7,8]]=>000001000
[[1,2,3,4,5,7,8,10],[6,9]]=>000010010
[[1,2,3,4,5,7,9,10],[6,8]]=>000010100
[[1,2,3,4,5,8,9,10],[6,7]]=>000010000
[[1,2,3,4,6,7,8,10],[5,9]]=>000100010
[[1,2,3,4,6,7,9,10],[5,8]]=>000100100
[[1,2,3,4,6,8,9,10],[5,7]]=>000101000
[[1,2,3,4,6,7,8,9,10],[5]]=>000100000
[[1,2,3,4,5,6,7,9,10],[8]]=>000000100
[[1,2,3,4,5,6,8,9,10],[7]]=>000001000
[[1,2,3,4,5,7,8,9,10],[6]]=>000010000
[[1,2,5,6,7,8,9],[3,4,10]]=>010000001
[[1,2,5,6,7,8,9],[3,4],[10]]=>010000001
[[1,4,5,6,7,8,9],[2],[3],[10]]=>110000001
[[1,2,3,7,8,9],[4,5,6,10]]=>001000001
[[1,2,3,7,8,9],[4,5,6],[10]]=>001000001
[[1,3,6,7,8,9],[2,5],[4,10]]=>101000001
[[1,3,6,7,8,9],[2,5],[4],[10]]=>101000001
[[1,5,6,7,8,9],[2],[3],[4],[10]]=>111000001
[[1,2,3,4,9],[5,6,7,8],[10]]=>000100001
[[1,3,4,8,9],[2,6,7],[5,10]]=>100100001
[[1,3,4,8,9],[2,6,7],[5],[10]]=>100100001
[[1,2,7,8,9],[3,4],[5,6],[10]]=>010100001
[[1,4,7,8,9],[2,6],[3],[5],[10]]=>110100001
[[1,6,7,8,9],[2],[3],[4],[5],[10]]=>111100001
[[1,2,5,9],[3,4,8],[6,7,10]]=>010010001
[[1,2,5,9],[3,4,8],[6,7],[10]]=>010010001
[[1,4,5,9],[2,7,8],[3],[6],[10]]=>110010001
[[1,3,8,9],[2,5],[4,7],[6,10]]=>101010001
[[1,3,8,9],[2,5],[4,7],[6],[10]]=>101010001
[[1,5,8,9],[2,7],[3],[4],[6],[10]]=>111010001
[[1,7,8,9],[2],[3],[4],[5],[6],[10]]=>111110001
[[1,3,6],[2,5,9],[4,8],[7,10]]=>101001001
[[1,3,6],[2,5,9],[4,8],[7],[10]]=>101001001
[[1,5,6],[2,8,9],[3],[4],[7],[10]]=>111001001
[[1,2,9],[3,4],[5,6],[7,8],[10]]=>010101001
[[1,4,9],[2,6],[3,8],[5],[7],[10]]=>110101001
[[1,6,9],[2,8],[3],[4],[5],[7],[10]]=>111101001
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>111111001
[[1,2,3,6,7,8,9,10],[4,5]]=>001000000
[[1,2,5,6,7,8,9,10],[3],[4]]=>011000000
[[1,2,3,4,8,9,10],[5,6,7]]=>000100000
[[1,2,4,7,8,9,10],[3,6],[5]]=>010100000
[[1,2,6,7,8,9,10],[3],[4],[5]]=>011100000
[[1,2,4,5,9,10],[3,7,8],[6]]=>010010000
[[1,2,3,8,9,10],[4,5],[6,7]]=>001010000
[[1,2,5,8,9,10],[3,7],[4],[6]]=>011010000
[[1,2,7,8,9,10],[3],[4],[5],[6]]=>011110000
[[1,2,4,5,6],[3,8,9,10],[7]]=>010001000
[[1,2,3,6,10],[4,5,9],[7,8]]=>001001000
[[1,2,5,6,10],[3,8,9],[4],[7]]=>011001000
[[1,2,4,9,10],[3,6],[5,8],[7]]=>010101000
[[1,2,6,9,10],[3,8],[4],[5],[7]]=>011101000
[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>011111000
[[1,2,6,7],[3,5,9,10],[4],[8]]=>011000100
[[1,2,4,7],[3,6,10],[5,9],[8]]=>010100100
[[1,2,6,7],[3,9,10],[4],[5],[8]]=>011100100
[[1,2,5,10],[3,7],[4,9],[6],[8]]=>011010100
[[1,2,7,10],[3,9],[4],[5],[6],[8]]=>011110100
[[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>011111100
[[1,2,3],[4,5,8],[6,7],[9,10]]=>001010010
[[1,2,5],[3,7,8],[4,10],[6],[9]]=>011010010
[[1,2,8],[3,7,10],[4],[5],[6],[9]]=>011110010
[[1,2,4],[3,6],[5,8],[7,10],[9]]=>010101010
[[1,2,6],[3,8],[4,10],[5],[7],[9]]=>011101010
[[1,2,8],[3,10],[4],[5],[6],[7],[9]]=>011111010
[[1,2],[3,5],[4,7],[6,9],[8],[10]]=>011010101
[[1,2],[3,7],[4,9],[5],[6],[8],[10]]=>011110101
[[1,2],[3,9],[4],[5],[6],[7],[8],[10]]=>011111101
[[1,2,4,5,8,9,10],[3,7],[6]]=>010010000
[[1,2,4,5,6,7],[3,9,10],[8]]=>010000100
[[1,2,3,4,9,10],[5,6],[7,8]]=>000101000
[[1,2,5,6,9,10],[3,8],[4],[7]]=>011001000
[[1,2,4,5,6,7,8,9],[3],[10]]=>010000001
[[1,2,3,4,7,8],[5,6],[9,10]]=>000100010
[[1,2,5,6,7,8],[3,10],[4],[9]]=>011000010
[[1,2,4,5,10],[3,7],[6,9],[8]]=>010010100
[[1,2,6,7,10],[3,9],[4],[5],[8]]=>011100100
[[1,2,4,5,8,9],[3,7],[6],[10]]=>010010001
[[1,2,6,7,8,9],[3],[4],[5],[10]]=>011100001
[[1,2,5,6],[3,8],[4,10],[7],[9]]=>011001010
[[1,2,7,8],[3,10],[4],[5],[6],[9]]=>011110010
[[1,2,4,5],[3,7],[6,9],[8],[10]]=>010010101
[[1,2,6,7],[3,9],[4],[5],[8],[10]]=>011100101
[[1,2,8,9],[3],[4],[5],[6],[7],[10]]=>011111001
[[1,3],[2,5],[4,9],[6],[7],[8],[10]]=>101011101
[[1,3],[2,5],[4,8],[6],[7],[9],[10]]=>101011011
[[1,3],[2,7],[4,9],[5],[6],[8],[10]]=>101110101
[[1,3],[2,7],[4,8],[5],[6],[9],[10]]=>101110111
[[1,3],[2,6],[4,9],[5],[7],[8],[10]]=>101101101
[[1,3],[2,6],[4,8],[5],[7],[9],[10]]=>101101011
[[1,3],[2,6],[4],[5],[7],[8],[9],[10]]=>101101111
[[1,3],[2,9],[4],[5],[6],[7],[8],[10]]=>101111101
[[1,3],[2,8],[4],[5],[6],[7],[9],[10]]=>101111011
[[1,3],[2,7],[4],[5],[6],[8],[9],[10]]=>101110111
[[1,5],[2,7],[3,8],[4],[6],[9],[10]]=>111010111
[[1,5],[2,6],[3,9],[4],[7],[8],[10]]=>111011101
[[1,5],[2,6],[3,8],[4],[7],[9],[10]]=>111011011
[[1,5],[2,6],[3],[4],[7],[8],[9],[10]]=>111011111
[[1,4],[2,7],[3,9],[5],[6],[8],[10]]=>110110101
[[1,4],[2,7],[3,8],[5],[6],[9],[10]]=>110110111
[[1,4],[2,6],[3,9],[5],[7],[8],[10]]=>110101101
[[1,4],[2,6],[3,8],[5],[7],[9],[10]]=>110101011
[[1,4],[2,6],[3],[5],[7],[8],[9],[10]]=>110101111
[[1,4],[2,9],[3],[5],[6],[7],[8],[10]]=>110111101
[[1,4],[2,8],[3],[5],[6],[7],[9],[10]]=>110111011
[[1,4],[2,7],[3],[5],[6],[8],[9],[10]]=>110110111
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>110111111
[[1,7],[2,8],[3],[4],[5],[6],[9],[10]]=>111110111
[[1,6],[2,9],[3],[4],[5],[7],[8],[10]]=>111101101
[[1,6],[2,8],[3],[4],[5],[7],[9],[10]]=>111101011
[[1,6],[2,7],[3],[4],[5],[8],[9],[10]]=>111101111
[[1,5],[2,9],[3],[4],[6],[7],[8],[10]]=>111011101
[[1,5],[2,8],[3],[4],[6],[7],[9],[10]]=>111011011
[[1,5],[2,7],[3],[4],[6],[8],[9],[10]]=>111010111
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>111011111
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>111111011
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>111110111
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>111101111
[[1,2],[3,5],[4],[6],[7],[8],[9],[10]]=>011011111
[[1,2,4],[3],[5],[6],[7],[8],[9],[10]]=>010111111
[[1,2],[3,4],[5,7],[6],[8],[9],[10]]=>010110111
[[1,3,6],[2,5],[4],[7],[8],[9],[10]]=>101001111
[[1,2,3,5],[4],[6],[7],[8],[9],[10]]=>001011111
[[1,2],[3,4],[5,6],[7,9],[8],[10]]=>010101101
[[1,2,3],[4,5,7],[6],[8],[9],[10]]=>001010111
[[1,2,4,7],[3,6],[5],[8],[9],[10]]=>010100111
[[1,2,3,4,6],[5],[7],[8],[9],[10]]=>000101111
[[1,3,4],[2,7],[5,8],[6,10],[9]]=>100110110
[[1,2,5],[3,6,9],[4,8],[7],[10]]=>011011001
[[1,3,5,8],[2,4,7],[6],[9],[10]]=>101010011
[[1,2,3,5,8],[4,7],[6],[9],[10]]=>001010011
[[1,2,3,4,5,7],[6],[8],[9],[10]]=>000010111
[[1,2,5],[3,6,7],[4,9],[8,10]]=>011010101
[[1,2,4,5],[3,8],[6,9],[7,10]]=>010011011
[[1,2,3],[4,5,6],[7,8,10],[9]]=>001001010
[[1,2,3,5,6],[4,8],[7,10],[9]]=>001001010
[[1,2,3,4],[5,6,7,9],[8],[10]]=>000100101
[[1,2,4,6,9],[3,5,8],[7],[10]]=>010101001
[[1,2,3,4,6,9],[5,8],[7],[10]]=>000101001
[[1,2,3,4,5,6,8],[7],[9],[10]]=>000001011
[[1,3,4,6],[2,7,9],[5,8,10]]=>100101101
[[1,2,3,7],[4,5,8,10],[6,9]]=>001010110
[[1,2,4,7,10],[3,6,9],[5,8]]=>010100100
[[1,2,3,4,6,7],[5,9],[8,10]]=>000100101
[[1,3,5,7,10],[2,4,6,9],[8]]=>101010100
[[1,2,3,5,7,10],[4,6,9],[8]]=>001010100
[[1,2,3,4,5,7,10],[6,9],[8]]=>000010100
[[1,2,3,4,5,6,7,9],[8],[10]]=>000000101
[[1,2,9],[3,10],[4],[5],[6],[7],[8]]=>011111101
[[1,2,8],[3,9],[4,10],[5],[6],[7]]=>011111011
[[1,2,8,10],[3,9],[4],[5],[6],[7]]=>011111010
[[1,2,7],[3,8],[4,9],[5,10],[6]]=>011110111
[[1,2,7,10],[3,8],[4,9],[5],[6]]=>011110110
[[1,2,7,9],[3,8,10],[4],[5],[6]]=>011110101
[[1,2,7,9,10],[3,8],[4],[5],[6]]=>011110100
[[1,2,6,10],[3,7],[4,8],[5,9]]=>011101110
[[1,2,6,9],[3,7,10],[4,8],[5]]=>011101101
[[1,2,6,9,10],[3,7],[4,8],[5]]=>011101100
[[1,2,6,8,10],[3,7,9],[4],[5]]=>011101010
[[1,2,6,8,9,10],[3,7],[4],[5]]=>011101000
[[1,2,5,8,10],[3,6,9],[4,7]]=>011011010
[[1,2,5,8,9,10],[3,6],[4,7]]=>011011000
[[1,2,5,7,9],[3,6,8,10],[4]]=>011010101
[[1,2,5,7,8,9,10],[3,6],[4]]=>011010000
[[1,2,3,4],[5,6],[7,9],[8,10]]=>000101101
[[1,2,3,4],[5,7],[6,8],[9,10]]=>000110110
[[1,2,3,4],[5,7],[6,9],[8,10]]=>000110101
[[1,2,3,4],[5,8],[6,9],[7,10]]=>000111011
[[1,2,3,5],[4,6],[7,8],[9,10]]=>001011010
[[1,2,3,5],[4,6],[7,9],[8,10]]=>001011101
[[1,2,3,5],[4,7],[6,8],[9,10]]=>001010110
[[1,2,3,5],[4,7],[6,9],[8,10]]=>001010101
[[1,2,3,5],[4,8],[6,9],[7,10]]=>001011011
[[1,2,3,6],[4,7],[5,8],[9,10]]=>001101110
[[1,2,3,6],[4,7],[5,9],[8,10]]=>001101101
[[1,2,3,6],[4,8],[5,9],[7,10]]=>001101011
[[1,2,4,6],[3,5],[7,8],[9,10]]=>010101010
[[1,2,4,6],[3,5],[7,9],[8,10]]=>010101101
[[1,2,4,7],[3,5],[6,8],[9,10]]=>010110110
[[1,2,4,7],[3,5],[6,9],[8,10]]=>010110101
[[1,2,4,8],[3,5],[6,9],[7,10]]=>010111011
[[1,2,4,5],[3,6],[7,8],[9,10]]=>010011010
[[1,2,4,5],[3,6],[7,9],[8,10]]=>010011101
[[1,2,4,5],[3,7],[6,8],[9,10]]=>010010110
[[1,2,4,5],[3,7],[6,9],[8,10]]=>010010101
[[1,2,4,6],[3,7],[5,8],[9,10]]=>010101110
[[1,2,4,6],[3,7],[5,9],[8,10]]=>010101101
[[1,2,4,6],[3,8],[5,9],[7,10]]=>010101011
[[1,2,4,7],[3,8],[5,9],[6,10]]=>010110111
[[1,2,5,8],[3,6],[4,7],[9,10]]=>011011010
[[1,2,5,9],[3,6],[4,7],[8,10]]=>011011101
[[1,2,5,7],[3,6],[4,8],[9,10]]=>011010110
[[1,2,5,7],[3,6],[4,9],[8,10]]=>011010101
[[1,2,5,8],[3,6],[4,9],[7,10]]=>011011011
[[1,2,5,6],[3,7],[4,8],[9,10]]=>011001110
[[1,2,5,6],[3,7],[4,9],[8,10]]=>011001101
[[1,2,5,6],[3,8],[4,9],[7,10]]=>011001011
[[1,2,5,7],[3,8],[4,9],[6,10]]=>011010111
[[1,2,6,9],[3,7],[4,8],[5,10]]=>011101101
[[1,2,6,8],[3,7],[4,9],[5,10]]=>011101011
[[1,2,6,7],[3,8],[4,9],[5,10]]=>011100111
[[1,7],[2,8],[3,9],[4],[5],[6],[10]]=>111110111
[[1,3,6],[2,7],[4],[5],[8],[9],[10]]=>101101111
[[1,3,8],[2,9],[4,10],[5],[6],[7]]=>101111011
[[1,5,7],[2,6,8],[3],[4],[9],[10]]=>111010111
[[1,3,4,7],[2,8],[5],[6],[9],[10]]=>100110111
[[1,3,10],[2],[4],[5],[6],[7],[8],[9]]=>101111110
[[1,5,9],[2,6,10],[3],[4],[7],[8]]=>111011101
[[1,3,4,9],[2,10],[5],[6],[7],[8]]=>100111101
[[1,3,6,8],[2,7,9],[4],[5],[10]]=>101101011
[[1,3,4,5,8],[2,9],[6],[7],[10]]=>100011011
[[1,3,6,10],[2,7],[4],[5],[8],[9]]=>101101110
[[1,3,4,5,10],[2],[6],[7],[8],[9]]=>100011110
[[1,3,4,7,9],[2,8,10],[5],[6]]=>100110101
[[1,3,4,5,6,9],[2,10],[7],[8]]=>100001101
[[1,3,4,5,8,10],[2,9],[6],[7]]=>100011010
[[1,3,4,5,6,7,10],[2],[8],[9]]=>100000110
[[1,7],[2,9],[3,10],[4],[5],[6],[8]]=>111110101
[[1,7,9],[2,10],[3],[4],[5],[6],[8]]=>111110101
[[1,6],[2,8],[3,9],[4,10],[5],[7]]=>111101011
[[1,6,9],[2,8],[3,10],[4],[5],[7]]=>111101001
[[1,6,8],[2,9,10],[3],[4],[5],[7]]=>111101010
[[1,6,8,10],[2,9],[3],[4],[5],[7]]=>111101010
[[1,5,9],[2,7],[3,8],[4,10],[6]]=>111010101
[[1,5,8],[2,7,10],[3,9],[4],[6]]=>111010010
[[1,5,8,10],[2,7],[3,9],[4],[6]]=>111010010
[[1,5,7,9],[2,8,10],[3],[4],[6]]=>111010101
[[1,5,7,9,10],[2,8],[3],[4],[6]]=>111010100
[[1,4,8],[2,6,10],[3,7],[5,9]]=>110101010
[[1,4,8,10],[2,6],[3,7],[5,9]]=>110101010
[[1,4,7],[2,6,9],[3,8,10],[5]]=>110100101
[[1,4,7,9],[2,6,10],[3,8],[5]]=>110100101
[[1,4,7,9,10],[2,6],[3,8],[5]]=>110100100
[[1,4,6,8],[2,7,9,10],[3],[5]]=>110101010
[[1,4,6,8,10],[2,7,9],[3],[5]]=>110101010
[[1,4,6,8,9,10],[2,7],[3],[5]]=>110101000
[[1,3,6,9],[2,5,8],[4,7,10]]=>101001001
[[1,3,6,8],[2,5,9,10],[4,7]]=>101001010
[[1,3,6,8,10],[2,5,9],[4,7]]=>101001010
[[1,3,6,8,9,10],[2,5],[4,7]]=>101001000
[[1,3,5,7,9],[2,6,8,10],[4]]=>101010101
[[1,3,5,7,9,10],[2,6,8],[4]]=>101010100
[[1,3,5,7,8,9,10],[2,6],[4]]=>101010000
[[1,8],[2,9],[3],[4],[5],[6],[7],[10]]=>111111011
[[1,7,9],[2,8],[3],[4],[5],[6],[10]]=>111110101
[[1,6],[2,7],[3,8],[4,9],[5],[10]]=>111101111
[[1,6,9],[2,7],[3,8],[4],[5],[10]]=>111101101
[[1,6,8],[2,7,9],[3],[4],[5],[10]]=>111101011
[[1,6,8,9],[2,7],[3],[4],[5],[10]]=>111101001
[[1,5,9],[2,6],[3,7],[4,8],[10]]=>111011101
[[1,5,8],[2,6,9],[3,7],[4],[10]]=>111011011
[[1,5,8,9],[2,6],[3,7],[4],[10]]=>111011001
[[1,5,7,9],[2,6,8],[3],[4],[10]]=>111010101
[[1,5,7,8,9],[2,6],[3],[4],[10]]=>111010001
[[1,4,8],[2,5,9],[3,6],[7,10]]=>110111011
[[1,4,8,9],[2,5],[3,6],[7,10]]=>110111001
[[1,4,7,9],[2,5,8],[3,6],[10]]=>110110101
[[1,4,7,8,9],[2,5],[3,6],[10]]=>110110001
[[1,4,6,8],[2,5,7,9],[3],[10]]=>110101011
[[1,4,6,8,9],[2,5,7],[3],[10]]=>110101001
[[1,4,6,7,8,9],[2,5],[3],[10]]=>110100001
[[1,3,6,9],[2,4,7],[5,8,10]]=>101101101
[[1,3,6,8],[2,4,7,9],[5,10]]=>101101011
[[1,3,6,8,9],[2,4,7],[5,10]]=>101101001
[[1,3,6,7,8,9],[2,4],[5,10]]=>101100001
[[1,3,5,7,9],[2,4,6,8],[10]]=>101010101
[[1,3,5,7,8,9],[2,4,6],[10]]=>101010001
[[1,3,5,6,7,8,9],[2,4],[10]]=>101000001
[[1,2,4,6,8,9],[3,5,7,10]]=>010101001
[[1,2,4,6,7,8,9],[3,5,10]]=>010100001
[[1,2,4,5,6,7,8,9],[3,10]]=>010000001
[[1,2],[3,10],[4],[5],[6],[7],[8],[9]]=>011111110
[[1,2],[3,9],[4,10],[5],[6],[7],[8]]=>011111101
[[1,2],[3,8],[4,9],[5,10],[6],[7]]=>011111011
[[1,2,8],[3,9,10],[4],[5],[6],[7]]=>011111010
[[1,2,7],[3,8,10],[4,9],[5],[6]]=>011110110
[[1,2,6],[3,7,10],[4,8],[5,9]]=>011101110
[[1,2,6],[3,7,9],[4,8,10],[5]]=>011101101
[[1,2,6,8],[3,7,9,10],[4],[5]]=>011101010
[[1,2,5,8],[3,6,9,10],[4,7]]=>011011010
[[1,3],[2,9],[4,10],[5],[6],[7],[8]]=>101111101
[[1,2,3],[4,10],[5],[6],[7],[8],[9]]=>001111110
[[1,4],[2,8],[3,9],[5,10],[6],[7]]=>110111011
[[1,3,10],[2,4],[5,9],[6],[7],[8]]=>101111100
[[1,2,4],[3,9,10],[5],[6],[7],[8]]=>010111100
[[1,2,3,4],[5,10],[6],[7],[8],[9]]=>000111110
[[1,4,10],[2,5],[3,8],[6,9],[7]]=>110111010
[[1,2,5],[3,4,10],[6,9],[7],[8]]=>010011100
[[1,4,5,10],[2,8],[3,9],[6],[7]]=>110011010
[[1,2,3,5],[4,9,10],[6],[7],[8]]=>001011100
[[1,2,3,4,5],[6,10],[7],[8],[9]]=>000011110
[[1,2,9],[3,5,10],[4,6],[7,8]]=>011011001
[[1,5,6,10],[2,7],[3,8],[4,9]]=>111001110
[[1,3,6],[2,5,9],[4,8,10],[7]]=>101001001
[[1,2,3,10],[4,5,6],[7,9],[8]]=>001001100
[[1,4,5,6,10],[2,8],[3,9],[7]]=>110001010
[[1,2,4,6],[3,5,9,10],[7],[8]]=>010101100
[[1,2,3,4,6],[5,9,10],[7],[8]]=>000101100
[[1,2,3,4,5,6],[7,10],[8],[9]]=>000001110
[[1,3,6,10],[2,4,7],[5,8,9]]=>101101100
[[1,2,4,7],[3,5,6,10],[8,9]]=>010100100
[[1,4,5,6,7,10],[2,8],[3,9]]=>110000110
[[1,2,3,5,7],[4,6,9,10],[8]]=>001010100
[[1,2,3,4,5,7],[6,9,10],[8]]=>000010100
[[1,2,3,4,5,6,7],[8,10],[9]]=>000000110
[[1,2,3,4,6,8],[5,7,9,10]]=>000101010
[[1,2,3,4,5,6,8],[7,9,10]]=>000001010
[[1,3],[2,4],[5,10],[6],[7],[8],[9]]=>101111110
[[1,3,10],[2,4],[5],[6],[7],[8],[9]]=>101111110
[[1,4],[2,5],[3,6],[7,10],[8],[9]]=>110111110
[[1,4,10],[2,5],[3,6],[7],[8],[9]]=>110111110
[[1,2,4],[3,5,10],[6],[7],[8],[9]]=>010111110
[[1,2,4,10],[3,5],[6],[7],[8],[9]]=>010111110
[[1,5,10],[2,6],[3,7],[4,8],[9]]=>111011110
[[1,2,5],[3,6,10],[4,7],[8],[9]]=>011011110
[[1,2,5,10],[3,6],[4,7],[8],[9]]=>011011110
[[1,3,5,10],[2,4,6],[7],[8],[9]]=>101011110
[[1,2,3,5,10],[4,6],[7],[8],[9]]=>001011110
[[1,3,6],[2,4,7],[5,8,10],[9]]=>101101110
[[1,3,6,10],[2,4,7],[5,8],[9]]=>101101110
[[1,2,3,6,10],[4,7],[5,8],[9]]=>001101110
[[1,2,4,6],[3,5,7,10],[8],[9]]=>010101110
[[1,2,4,6,10],[3,5,7],[8],[9]]=>010101110
[[1,2,3,4,6,10],[5,7],[8],[9]]=>000101110
[[1,2,4,7],[3,5,8,10],[6,9]]=>010110110
[[1,2,4,7,10],[3,5,8],[6,9]]=>010110110
[[1,2,3,4,7,10],[5,8],[6,9]]=>000110110
[[1,3,5,7,10],[2,4,6,8],[9]]=>101010110
[[1,2,3,5,7,10],[4,6,8],[9]]=>001010110
[[1,2,3,4,5,7,10],[6,8],[9]]=>000010110
[[1,4],[2,5],[3],[6],[7],[8],[9],[10]]=>110111111
[[1,5],[2,6],[3,7],[4],[8],[9],[10]]=>111011111
[[1,3,5],[2,6],[4],[7],[8],[9],[10]]=>101011111
[[1,3,6],[2,7],[4,8],[5],[9],[10]]=>101101111
[[1,4,6],[2,5,7],[3],[8],[9],[10]]=>110101111
[[1,3,4,6],[2,7],[5],[8],[9],[10]]=>100101111
[[1,3,7],[2,8],[4,9],[5,10],[6]]=>101110111
[[1,4,7],[2,5,8],[3,9],[6],[10]]=>110110111
[[1,3,4,7],[2,8],[5,9],[6],[10]]=>100110111
[[1,3,5,7],[2,6,8],[4],[9],[10]]=>101010111
[[1,3,4,5,7],[2,8],[6],[9],[10]]=>100010111
[[1,3,4,8],[2,5],[6,9],[7,10]]=>100111011
[[1,3,5,8],[2,6,9],[4,10],[7]]=>101011011
[[1,3,4,5,8],[2,9],[6,10],[7]]=>100011011
[[1,3,4,6,8],[2,7,9],[5],[10]]=>100101011
[[1,3,4,5,6,8],[2,9],[7],[10]]=>100001011
[[1,4,6,9],[2,5,7,10],[3,8]]=>110101101
[[1,3,4,6,9],[2,7,10],[5,8]]=>100101101
[[1,3,4,5,6,9],[2,7],[8,10]]=>100001101
[[1,3,4,5,7,9],[2,8,10],[6]]=>100010101
[[1,3,4,5,6,7,9],[2,10],[8]]=>100000101
[[1,3,4,6,8,10],[2,5,7,9]]=>100101010
[[1,3,4,5,6,8,10],[2,7,9]]=>100001010
[[1,3,4,5,6,7,8,10],[2,9]]=>100000010
[[1,2,4,8],[3,5,9],[6,10],[7]]=>010111011
[[1,2,3,4,8],[5,9],[6,10],[7]]=>000111011
[[1,2,3,6,9],[4,7,10],[5,8]]=>001101101
[[1,2,4,6,9],[3,5,7,10],[8]]=>010101101
[[1,2,3,4,6,9],[5,7,10],[8]]=>000101101
[[1,2,3,4,5,6,9],[7,10],[8]]=>000001101
[[1,2,3,4,5,6,8],[7,10],[9]]=>000001010
[[1,2,3,4,5,7],[6,8,9,10]]=>000010100
[[1,2,3,4,5,7],[6,8,10],[9]]=>000010110
[[1,2,3,4,5,7],[6,9],[8,10]]=>000010101
[[1,2,3,4,5,7],[6,9],[8],[10]]=>000010101
[[1,2,3,4,6],[5,7,8,10],[9]]=>000101010
[[1,2,3,4,6],[5,7,9],[8,10]]=>000101101
[[1,2,3,4,6],[5,7,9],[8],[10]]=>000101101
[[1,2,3,4,6],[5,8],[7,10],[9]]=>000101010
[[1,2,3,4,6],[5,8],[7],[9],[10]]=>000101011
[[1,2,3,5],[4,6,7,9],[8,10]]=>001010101
[[1,2,3,5],[4,6,7,9],[8],[10]]=>001010101
[[1,2,3,5],[4,6,8],[7,9,10]]=>001011010
[[1,2,3,5],[4,6,8],[7,10],[9]]=>001011010
[[1,2,3,5],[4,6,8],[7],[9],[10]]=>001011011
[[1,2,3,5],[4,7],[6,9],[8],[10]]=>001010101
[[1,2,3,5],[4,7],[6],[8],[9],[10]]=>001010111
[[1,2,4],[3,5,7],[6,8,10],[9]]=>010110110
[[1,2,4],[3,5,7],[6,9],[8,10]]=>010110101
[[1,2,4],[3,5,7],[6,9],[8],[10]]=>010110101
[[1,2,4],[3,5,7],[6],[8],[9],[10]]=>010110111
[[1,2,4],[3,6],[5,8],[7],[9],[10]]=>010101011
[[1,2,4],[3,6],[5],[7],[8],[9],[10]]=>010101111
[[1,4,5],[2,7,8],[3,10],[6],[9]]=>110010010
[[1,2,4,5,6,7,8],[3,9,10]]=>010000010
[[1,3,8],[2,5],[4,7],[6,10],[9]]=>101010010
[[1,3,6,7],[2,5,10],[4,9],[8]]=>101000100
[[1,5,6,7],[2,9,10],[3],[4],[8]]=>111000100
[[1,5,8],[2,7],[3,10],[4],[6],[9]]=>111010010
[[1,7,8],[2,10],[3],[4],[5],[6],[9]]=>111110010
[[1,5,7,8],[2,6,9,10],[3],[4]]=>111010010
[[1,5,6,9],[2,7,8,10],[3],[4]]=>111001001
[[1,5,6,8],[2,7,9,10],[3],[4]]=>111001010
[[1,5,6,7],[2,8,9,10],[3],[4]]=>111000100
[[1,4,7,9],[2,6,8,10],[3],[5]]=>110100101
[[1,4,7,8],[2,6,9,10],[3],[5]]=>110100010
[[1,4,6,9],[2,7,8,10],[3],[5]]=>110101001
[[1,4,6,7],[2,8,9,10],[3],[5]]=>110100100
[[1,4,5,9],[2,7,8,10],[3],[6]]=>110010001
[[1,4,5,8],[2,7,9,10],[3],[6]]=>110010010
[[1,4,5,7],[2,8,9,10],[3],[6]]=>110010100
[[1,3,7,9],[2,5,8,10],[4],[6]]=>101010101
[[1,3,7,8],[2,5,9,10],[4],[6]]=>101010010
[[1,3,6,9],[2,5,8,10],[4],[7]]=>101001001
[[1,3,6,8],[2,5,9,10],[4],[7]]=>101001010
[[1,3,6,7],[2,5,9,10],[4],[8]]=>101000100
[[1,3,7,9],[2,6,8,10],[4],[5]]=>101100101
[[1,3,7,8],[2,6,9,10],[4],[5]]=>101100010
[[1,3,6,9],[2,7,8,10],[4],[5]]=>101101001
[[1,3,6,8],[2,7,9,10],[4],[5]]=>101101010
[[1,3,5,9],[2,7,8,10],[4],[6]]=>101010001
[[1,3,5,8],[2,7,9,10],[4],[6]]=>101010010
[[1,3,5,7],[2,8,9,10],[4],[6]]=>101010100
[[1,3,5,6],[2,8,9,10],[4],[7]]=>101001000
[[1,3,4,9],[2,6,7,10],[5],[8]]=>100100101
[[1,3,4,8],[2,6,7,10],[5],[9]]=>100100010
[[1,3,4,9],[2,6,8,10],[5],[7]]=>100101001
[[1,3,4,8],[2,6,9,10],[5],[7]]=>100101010
[[1,3,4,7],[2,6,9,10],[5],[8]]=>100100100
[[1,3,4,9],[2,7,8,10],[5],[6]]=>100110001
[[1,3,4,8],[2,7,9,10],[5],[6]]=>100110010
[[1,3,4,7],[2,8,9,10],[5],[6]]=>100110100
[[1,3,4,6],[2,8,9,10],[5],[7]]=>100101000
[[1,3,4,5],[2,7,8,10],[6],[9]]=>100010010
[[1,3,4,5],[2,7,9,10],[6],[8]]=>100010100
[[1,3,4,5],[2,8,9,10],[6],[7]]=>100011000
[[1,6,7,8,9],[2,10],[3],[4],[5]]=>111100001
[[1,2,3],[4,8,9],[5],[6],[7],[10]]=>001111001
[[1,4,5,6,7,8,9],[2,10],[3]]=>110000001
[[1,2,3,5,6,7],[4,8,9,10]]=>001000100
[[1,2,5,6,7,8],[3,4,9],[10]]=>010000011
[[1,3,5,6,7,8],[2,9],[4,10]]=>101000011
[[1,5,6,7,8,9],[2,10],[3],[4]]=>111000001
[[1,2,3,6,7],[4,5,8,9],[10]]=>001000101
[[1,3,6,7,8],[2,4,9],[5,10]]=>101100011
[[1,2,3,6,7],[4,8,9],[5],[10]]=>001100101
[[1,4,6,7,8],[2,9],[3,10],[5]]=>110100011
[[1,3,4,7],[2,5,6,8],[9,10]]=>100100110
[[1,2,3,4],[5,7,8,9],[6],[10]]=>000110001
[[1,2,4,7],[3,5,8],[6,9,10]]=>010110110
[[1,4,7,8],[2,5,9],[3,6],[10]]=>110110011
[[1,2,3,7],[4,8,9],[5],[6],[10]]=>001110101
[[1,3,7,8],[2,5],[4,9],[6,10]]=>101010011
[[1,5,7,8],[2,9],[3,10],[4],[6]]=>111010011
[[1,7,8,9],[2,10],[3],[4],[5],[6]]=>111110001
[[1,2,5],[3,4,8],[6,7,9],[10]]=>010010011
[[1,3,8],[2,5,9],[4,6],[7,10]]=>101011011
[[1,4,8],[2,6],[3,9],[5,10],[7]]=>110101011
[[1,6,8],[2,9],[3,10],[4],[5],[7]]=>111101011
[[1,8,9],[2,10],[3],[4],[5],[6],[7]]=>111111001
[[1,5],[2,7],[3,9],[4,10],[6],[8]]=>111010101
[[1,2,3,4,5],[6,7,8,9],[10,11]]=>0000100010
[[1,2,3,4,5],[6,7,8,9],[10],[11]]=>0000100011
[[1,2,3,4,5],[6,7,8],[9,10,11]]=>0000100100
[[1,2,3,4,5],[6,7,8],[9,10],[11]]=>0000100101
[[1,2,3,4,5],[6,7,8],[9],[10],[11]]=>0000100111
[[1,2,3,4,5],[6,7],[8,9],[10,11]]=>0000101010
[[1,2,3,4,5],[6,7],[8,9],[10],[11]]=>0000101011
[[1,2,3,4],[5,6,7,8],[9,10,11]]=>0001000100
[[1,2,3,4],[5,6,7,8],[9,10],[11]]=>0001000101
[[1,2,3,4],[5,6,7,8],[9],[10],[11]]=>0001000111
[[1,2,3,4],[5,6,7],[8,9,10],[11]]=>0001001001
[[1,2,3,4],[5,6,7],[8,9],[10,11]]=>0001001010
[[1,2,3,4],[5,6,7],[8,9],[10],[11]]=>0001001011
[[1,2,3,4],[5,6],[7,8],[9,10],[11]]=>0001010101
[[1,2,3],[4,5,6],[7,8,9],[10,11]]=>0010010010
[[1,2,3],[4,5,6],[7,8,9],[10],[11]]=>0010010011
[[1,2,3],[4,5,6],[7,8],[9,10],[11]]=>0010010101
[[1,2,5,6,11],[3,4,9,10],[7,8]]=>0100010000
[[1,4,5,6,11],[2,8,9,10],[3],[7]]=>1100010000
[[1,2,3,10,11],[4,5,6],[7,8,9]]=>0010010000
[[1,3,6,10,11],[2,5,9],[4,8],[7]]=>1010010000
[[1,5,6,10,11],[2,8,9],[3],[4],[7]]=>1110010000
[[1,2,9,10,11],[3,4],[5,6],[7,8]]=>0101010000
[[1,4,9,10,11],[2,6],[3,8],[5],[7]]=>1101010000
[[1,2,3,7],[4,5,6,11],[8,9,10]]=>0010001000
[[1,3,6,7],[2,5,10,11],[4,9],[8]]=>1010001000
[[1,5,6,7],[2,9,10,11],[3],[4],[8]]=>1110001000
[[1,3,4,11],[2,6,7],[5,9,10],[8]]=>1001001000
[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>0101001000
[[1,4,7,11],[2,6,10],[3,9],[5],[8]]=>1101001000
[[1,3,10,11],[2,5],[4,7],[6,9],[8]]=>1010101000
[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>0100100100
[[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>1100100100
[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>1010100100
[[1,6,9,11],[2,7,10],[3,8],[4],[5]]=>1111011010
[[1,6,10],[2,7,11],[3,8],[4,9],[5]]=>1111011101
[[1,5,9,11],[2,6,10],[3,7],[4,8]]=>1110111010
[[1,5,9],[2,6,10],[3,7,11],[4,8]]=>1110111011
[[1,5,8,11],[2,6,9],[3,7,10],[4]]=>1110110110
[[1,4,7,10],[2,5,8,11],[3,6,9]]=>1101101101
[[1,5,8,10],[2,6,9,11],[3,7],[4]]=>1110110101
[[1,4,7,9,11],[2,5,8,10],[3,6]]=>1101101010
[[1,5,8,10,11],[2,6,9],[3,7],[4]]=>1110110100
[[1,5,7,9,11],[2,6,8,10],[3],[4]]=>1110101010
[[1,4,7,10,11],[2,5,8],[3,6,9]]=>1101101100
[[1,6,8,10,11],[2,7,9],[3],[4],[5]]=>1111010100
[[1,5,9,10,11],[2,6],[3,7],[4,8]]=>1110111000
[[1,6,9,10,11],[2,7],[3,8],[4],[5]]=>1111011000
[[1,6,8,10],[2,7,9,11],[3],[4],[5]]=>1111010101
[[1,6,10,11],[2,7],[3,8],[4,9],[5]]=>1111011100
[[1,6,9],[2,7,10],[3,8,11],[4],[5]]=>1111011011
[[1,2,4,7],[3,5,8],[6,9],[10],[11]]=>0101101111
[[1,3,7],[2,4,8],[5,9],[6,10],[11]]=>1011101111
[[1,2,4,8],[3,5,9],[6,10],[7,11]]=>0101110111
[[1,4,8],[2,5,9],[3,6,10],[7,11]]=>1101110111
[[1,2,5,8],[3,6,9],[4,7,10],[11]]=>0110110111
[[1,3,6,9],[2,4,7,10],[5,8,11]]=>1011011011
[[1,3,5,8],[2,4,6,9],[7,10],[11]]=>1010110111
[[1,2,4,6,9],[3,5,7,10],[8,11]]=>0101011011
[[1,2,3,5,8],[4,6,9],[7,10],[11]]=>0010110111
[[1,2,4,6,8],[3,5,7,9],[10],[11]]=>0101010111
[[1,2,3,6,9],[4,7,10],[5,8,11]]=>0011011011
[[1,2,3,5,7],[4,6,8],[9],[10],[11]]=>0010101111
[[1,2,3,4,8],[5,9],[6,10],[7,11]]=>0001110111
[[1,2,3,4,7],[5,8],[6,9],[10],[11]]=>0001101111
[[1,3,5,7],[2,4,6,8],[9],[10],[11]]=>1010101111
[[1,2,3,7],[4,8],[5,9],[6,10],[11]]=>0011101111
[[1,4,7],[2,5,8],[3,6,9],[10],[11]]=>1101101111
[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>10101010101
[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>10101010010
[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>10101001001
[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>10101001010
[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>10101000100
[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>10100100101
[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>10100100010
[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>10100101001
[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>10100101010
[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>10100100100
[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>10100010001
[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>10100010010
[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>10100010100
[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>10100001000
[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>10010010101
[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>10010010010
[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>10010001001
[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>10010001010
[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>10010000100
[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>10010100101
[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>10010100010
[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>10010101001
[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>10010101010
[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>10010100100
[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>10010010001
[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>10010010010
[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>10010010100
[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>10010001000
[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>10001000101
[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>10001000010
[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>10001001001
[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>10001001010
[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>10001000100
[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>10001010001
[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>10001010010
[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>10001010100
[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>10001001000
[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>10000100001
[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>10000100010
[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>10000100100
[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>10000101000
[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>10000010000
[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>01001010101
[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>01001010010
[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>01001001001
[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>01001001010
[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>01001000100
[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>01000100101
[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>01000100010
[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>01000101001
[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>01000101010
[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>01000100100
[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>01000010001
[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>01000010010
[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>01000010100
[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>01000001000
[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>01010010101
[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>01010010010
[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>01010001001
[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>01010001010
[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>01010000100
[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>01010100101
[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>01010100010
[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>01010101001
[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>01010101010
[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>01010100100
[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>01010010001
[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>01010010010
[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>01010010100
[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>01010001000
[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>01001000101
[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>01001000010
[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>01001001001
[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>01001001010
[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>01001000100
[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>01001010001
[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>01001010010
[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>01001010100
[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>01001001000
[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>01000100001
[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>01000100010
[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>01000100100
[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>01000101000
[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>01000010000
[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>00100010101
[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>00100010010
[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>00100001001
[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>00100001010
[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>00100000100
[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>00100100101
[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>00100100010
[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>00100101001
[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>00100101010
[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>00100100100
[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>00100010001
[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>00100010010
[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>00100010100
[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>00100001000
[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>00101000101
[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>00101000010
[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>00101001001
[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>00101001010
[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>00101000100
[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>00101010001
[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>00101010010
[[1,2,3,5,7,9],[4,6,8,10,11,12]]=>00101010100
[[1,2,3,5,7,8],[4,6,9,10,11,12]]=>00101001000
[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>00100100001
[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>00100100010
[[1,2,3,5,6,9],[4,7,8,10,11,12]]=>00100100100
[[1,2,3,5,6,8],[4,7,9,10,11,12]]=>00100101000
[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>00100010000
[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>00010000101
[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>00010000010
[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>00010001001
[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>00010001010
[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>00010000100
[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>00010010001
[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>00010010010
[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>00010010100
[[1,2,3,4,7,8],[5,6,9,10,11,12]]=>00010001000
[[1,2,3,4,6,11],[5,7,8,9,10,12]]=>00010100001
[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>00010100010
[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>00010100100
[[1,2,3,4,6,8],[5,7,9,10,11,12]]=>00010101000
[[1,2,3,4,6,7],[5,8,9,10,11,12]]=>00010010000
[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>00001000001
[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>00001000010
[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>00001000100
[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>00001001000
[[1,2,3,4,5,7],[6,8,9,10,11,12]]=>00001010000
[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>00000100000
[[1,2,3,4,5,6,7,8,9,10,11,12]]=>00000000000
[[1,2,3,4,5,6],[7,8,9,10],[11,12]]=>00000100010
[[1,2,3,4,5],[6,7,8,9],[10,11,12]]=>00001000100
[[1,2,3,4,5],[6,7,8,9],[10,11],[12]]=>00001000101
[[1,2,3,4,5],[6,7,8,9],[10],[11],[12]]=>00001000111
[[1,2,3,4,5],[6,7,8],[9,10,11],[12]]=>00001001001
[[1,2,3,4,5],[6,7,8],[9,10],[11,12]]=>00001001010
[[1,2,3,4,5],[6,7,8],[9,10],[11],[12]]=>00001001011
[[1,2,3,4,5],[6,7],[8,9],[10,11],[12]]=>00001010101
[[1,2,3,4],[5,6,7,8],[9,10,11],[12]]=>00010001001
[[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>00010001010
[[1,2,3,4],[5,6,7,8],[9,10],[11],[12]]=>00010001011
[[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>00010010010
[[1,2,3,4],[5,6,7],[8,9,10],[11],[12]]=>00010010011
[[1,2,3,4],[5,6,7],[8,9],[10,11],[12]]=>00010010101
[[1,2,3,4],[5,6],[7,8],[9,10],[11,12]]=>00010101010
[[1,2,3],[4,5,6],[7,8,9],[10,11],[12]]=>00100100101
[[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]]=>00100101011
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>01010101010
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>11111111111
[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000
[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000
[[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>00100010000
[[1,3,6,7,12],[2,5,10,11],[4,9],[8]]=>10100010000
[[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]=>11100010000
[[1,3,4,11,12],[2,6,7],[5,9,10],[8]]=>10010010000
[[1,2,7,11,12],[3,4,10],[5,6],[8,9]]=>01010010000
[[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]=>11010010000
[[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]=>10101010000
[[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>10010001000
[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000
[[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]=>11010001000
[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>01001001000
[[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]=>11001001000
[[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]=>10101001000
[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>10100100100
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>01010101101
[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>01010110110
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>01010110101
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>01010111011
[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>01011011010
[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>01011011101
[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>01011010110
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>01011010101
[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>01011011011
[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>01011101110
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>01011101101
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>01011101011
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>01011110111
[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>01101101010
[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>01101101101
[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>01101110110
[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>01101110101
[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>01101111011
[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>01101011010
[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>01101011101
[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>01101010110
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>01101010101
[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>01101011011
[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>01101101110
[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>01101101101
[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>01101101011
[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>01101110111
[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>01110111010
[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>01110111101
[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>01110110110
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>01110110101
[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>01110111011
[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>01110101110
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>01110101101
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>01110101011
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>01110110111
[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>01111011110
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>01111011101
[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>01111011011
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>01111010111
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>01111101111
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>10110101010
[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>10110101101
[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>10110110110
[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>10110110101
[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>10110111011
[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>10111011010
[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>10111011101
[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>10111010110
[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>10111010101
[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>10111011011
[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>10111101110
[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>10111101101
[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>10111101011
[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>10111110111
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>10101101010
[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>10101101101
[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>10101110110
[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>10101110101
[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>10101111011
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>10101011010
[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>10101011101
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>10101010110
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>10101010101
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>10101011011
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>10101101110
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>10101101101
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>10101101011
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>10101110111
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>10110111010
[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>10110111101
[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>10110110110
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>10110110101
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>10110111011
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>10110101110
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>10110101101
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>10110101011
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>10110110111
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>10111011110
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>10111011101
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>10111011011
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>10111010111
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>10111101111
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>11011101010
[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>11011101101
[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>11011110110
[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>11011110101
[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>11011111011
[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>11011011010
[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>11011011101
[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>11011010110
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>11011010101
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>11011011011
[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>11011101110
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>11011101101
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>11011101011
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>11011110111
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>11010111010
[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>11010111101
[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>11010110110
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>11010110101
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>11010111011
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>11010101110
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>11010101101
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>11010101011
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>11010110111
[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>11011011110
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>11011011101
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>11011011011
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>11011010111
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>11011101111
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>11101111010
[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>11101111101
[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>11101110110
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>11101110101
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>11101111011
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>11101101110
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>11101101101
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>11101101011
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>11101110111
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>11101011110
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>11101011101
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>11101011011
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>11101010111
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>11101101111
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>11110111110
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>11110111101
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>11110111011
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>11110110111
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>11110101111
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>11111011111
[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>01010101010
[[1,2,4,6,8,10,11,12],[3,5,7,9]]=>01010101000
[[1,2,4,6,8,9,10,12],[3,5,7,11]]=>01010100010
[[1,2,4,6,8,9,11,12],[3,5,7,10]]=>01010100100
[[1,2,4,6,8,9,10,11,12],[3,5,7]]=>01010100000
[[1,2,4,6,7,8,10,12],[3,5,9,11]]=>01010001010
[[1,2,4,6,7,8,11,12],[3,5,9,10]]=>01010001000
[[1,2,4,6,7,9,10,12],[3,5,8,11]]=>01010010010
[[1,2,4,6,7,9,11,12],[3,5,8,10]]=>01010010100
[[1,2,4,6,7,9,10,11,12],[3,5,8]]=>01010010000
[[1,2,4,6,7,8,9,10,12],[3,5,11]]=>01010000010
[[1,2,4,6,7,8,9,11,12],[3,5,10]]=>01010000100
[[1,2,4,6,7,8,10,11,12],[3,5,9]]=>01010001000
[[1,2,4,6,7,8,9,10,11,12],[3,5]]=>01010000000
[[1,2,4,5,6,8,10,12],[3,7,9,11]]=>01000101010
[[1,2,4,5,6,8,11,12],[3,7,9,10]]=>01000101000
[[1,2,4,5,6,9,10,12],[3,7,8,11]]=>01000100010
[[1,2,4,5,6,9,11,12],[3,7,8,10]]=>01000100100
[[1,2,4,5,6,9,10,11,12],[3,7,8]]=>01000100000
[[1,2,4,5,7,8,10,12],[3,6,9,11]]=>01001001010
[[1,2,4,5,7,8,11,12],[3,6,9,10]]=>01001001000
[[1,2,4,5,7,9,10,12],[3,6,8,11]]=>01001010010
[[1,2,4,5,7,9,11,12],[3,6,8,10]]=>01001010100
[[1,2,4,5,7,9,10,11,12],[3,6,8]]=>01001010000
[[1,2,4,5,7,8,9,10,12],[3,6,11]]=>01001000010
[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>01001000100
[[1,2,4,5,7,8,10,11,12],[3,6,9]]=>01001001000
[[1,2,4,5,7,8,9,10,11,12],[3,6]]=>01001000000
[[1,2,4,5,6,7,8,10,12],[3,9,11]]=>01000001010
[[1,2,4,5,6,7,8,11,12],[3,9,10]]=>01000001000
[[1,2,4,5,6,7,9,10,12],[3,8,11]]=>01000010010
[[1,2,4,5,6,7,9,11,12],[3,8,10]]=>01000010100
[[1,2,4,5,6,7,10,11,12],[3,8,9]]=>01000010000
[[1,2,4,5,6,8,9,10,12],[3,7,11]]=>01000100010
[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>01000100100
[[1,2,4,5,6,8,10,11,12],[3,7,9]]=>01000101000
[[1,2,4,5,6,8,9,10,11,12],[3,7]]=>01000100000
[[1,2,4,5,6,7,8,9,10,12],[3,11]]=>01000000010
[[1,2,4,5,6,7,8,9,11,12],[3,10]]=>01000000100
[[1,2,4,5,6,7,8,10,11,12],[3,9]]=>01000001000
[[1,2,4,5,6,7,9,10,11,12],[3,8]]=>01000010000
[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>01000000000
[[1,2,3,4,6,8,10,12],[5,7,9,11]]=>00010101010
[[1,2,3,4,6,8,11,12],[5,7,9,10]]=>00010101000
[[1,2,3,4,6,9,10,12],[5,7,8,11]]=>00010100010
[[1,2,3,4,6,9,11,12],[5,7,8,10]]=>00010100100
[[1,2,3,4,6,9,10,11,12],[5,7,8]]=>00010100000
[[1,2,3,4,7,8,10,12],[5,6,9,11]]=>00010001010
[[1,2,3,4,7,8,11,12],[5,6,9,10]]=>00010001000
[[1,2,3,4,7,9,10,12],[5,6,8,11]]=>00010010010
[[1,2,3,4,7,9,11,12],[5,6,8,10]]=>00010010100
[[1,2,3,4,7,9,10,11,12],[5,6,8]]=>00010010000
[[1,2,3,4,7,8,9,10,12],[5,6,11]]=>00010000010
[[1,2,3,4,7,8,9,11,12],[5,6,10]]=>00010000100
[[1,2,3,4,7,8,10,11,12],[5,6,9]]=>00010001000
[[1,2,3,4,7,8,9,10,11,12],[5,6]]=>00010000000
[[1,2,3,5,6,8,10,12],[4,7,9,11]]=>00100101010
[[1,2,3,5,6,8,11,12],[4,7,9,10]]=>00100101000
[[1,2,3,5,6,9,10,12],[4,7,8,11]]=>00100100010
[[1,2,3,5,6,9,11,12],[4,7,8,10]]=>00100100100
[[1,2,3,5,6,9,10,11,12],[4,7,8]]=>00100100000
[[1,2,3,5,7,8,10,12],[4,6,9,11]]=>00101001010
[[1,2,3,5,7,8,11,12],[4,6,9,10]]=>00101001000
[[1,2,3,5,7,9,10,12],[4,6,8,11]]=>00101010010
[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>00101010100
[[1,2,3,5,7,9,10,11,12],[4,6,8]]=>00101010000
[[1,2,3,5,7,8,9,10,12],[4,6,11]]=>00101000010
[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>00101000100
[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>00101001000
[[1,2,3,5,7,8,9,10,11,12],[4,6]]=>00101000000
[[1,2,3,5,6,7,8,10,12],[4,9,11]]=>00100001010
[[1,2,3,5,6,7,8,11,12],[4,9,10]]=>00100001000
[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>00100010010
[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>00100010100
[[1,2,3,5,6,7,10,11,12],[4,8,9]]=>00100010000
[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>00100100010
[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>00100100100
[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>00100101000
[[1,2,3,5,6,8,9,10,11,12],[4,7]]=>00100100000
[[1,2,3,5,6,7,8,9,10,12],[4,11]]=>00100000010
[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>00100000100
[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>00100001000
[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>00100010000
[[1,2,3,5,6,7,8,9,10,11,12],[4]]=>00100000000
[[1,2,3,4,5,6,8,10,12],[7,9,11]]=>00000101010
[[1,2,3,4,5,6,8,11,12],[7,9,10]]=>00000101000
[[1,2,3,4,5,6,9,10,12],[7,8,11]]=>00000100010
[[1,2,3,4,5,6,9,11,12],[7,8,10]]=>00000100100
[[1,2,3,4,5,6,10,11,12],[7,8,9]]=>00000100000
[[1,2,3,4,5,7,8,10,12],[6,9,11]]=>00001001010
[[1,2,3,4,5,7,8,11,12],[6,9,10]]=>00001001000
[[1,2,3,4,5,7,9,10,12],[6,8,11]]=>00001010010
[[1,2,3,4,5,7,9,11,12],[6,8,10]]=>00001010100
[[1,2,3,4,5,7,10,11,12],[6,8,9]]=>00001010000
[[1,2,3,4,5,8,9,10,12],[6,7,11]]=>00001000010
[[1,2,3,4,5,8,9,11,12],[6,7,10]]=>00001000100
[[1,2,3,4,5,8,10,11,12],[6,7,9]]=>00001001000
[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>00001000000
[[1,2,3,4,6,7,8,10,12],[5,9,11]]=>00010001010
[[1,2,3,4,6,7,8,11,12],[5,9,10]]=>00010001000
[[1,2,3,4,6,7,9,10,12],[5,8,11]]=>00010010010
[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>00010010100
[[1,2,3,4,6,7,10,11,12],[5,8,9]]=>00010010000
[[1,2,3,4,6,8,9,10,12],[5,7,11]]=>00010100010
[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>00010100100
[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>00010101000
[[1,2,3,4,6,8,9,10,11,12],[5,7]]=>00010100000
[[1,2,3,4,6,7,8,9,10,12],[5,11]]=>00010000010
[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>00010000100
[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>00010001000
[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>00010010000
[[1,2,3,4,6,7,8,9,10,11,12],[5]]=>00010000000
[[1,2,3,4,5,6,7,8,10,12],[9,11]]=>00000001010
[[1,2,3,4,5,6,7,8,11,12],[9,10]]=>00000001000
[[1,2,3,4,5,6,7,9,10,12],[8,11]]=>00000010010
[[1,2,3,4,5,6,7,9,11,12],[8,10]]=>00000010100
[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>00000010000
[[1,2,3,4,5,6,8,9,10,12],[7,11]]=>00000100010
[[1,2,3,4,5,6,8,9,11,12],[7,10]]=>00000100100
[[1,2,3,4,5,6,8,10,11,12],[7,9]]=>00000101000
[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>00000100000
[[1,2,3,4,5,7,8,9,10,12],[6,11]]=>00001000010
[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>00001000100
[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>00001001000
[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>00001010000
[[1,2,3,4,5,7,8,9,10,11,12],[6]]=>00001000000
[[1,2,3,4,5,6,7,8,9,10,12],[11]]=>00000000010
[[1,2,3,4,5,6,7,8,9,11,12],[10]]=>00000000100
[[1,2,3,4,5,6,7,8,10,11,12],[9]]=>00000001000
[[1,2,3,4,5,6,7,9,10,11,12],[8]]=>00000010000
[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>00000100000
[[1,6,10,12],[2,7,11],[3,8],[4,9],[5]]=>11110111010
[[1,6,10],[2,7,11],[3,8,12],[4,9],[5]]=>11110111011
[[1,5,9,12],[2,6,10],[3,7,11],[4,8]]=>11101110110
[[1,5,8,11],[2,6,9,12],[3,7,10],[4]]=>11101101101
[[1,4,7,10,12],[2,5,8,11],[3,6,9]]=>11011011010
[[1,5,8,10,12],[2,6,9,11],[3,7],[4]]=>11101101010
[[1,7,11],[2,8,12],[3,9],[4,10],[5],[6]]=>11111011101
[[1,4,7,9,11,12],[2,5,8,10],[3,6]]=>11011010100
[[1,6,8,10,12],[2,7,9,11],[3],[4],[5]]=>11110101010
[[1,5,8,11,12],[2,6,9],[3,7,10],[4]]=>11101101100
[[1,5,9,11,12],[2,6,10],[3,7],[4,8]]=>11101110100
[[1,6,9,11,12],[2,7,10],[3,8],[4],[5]]=>11110110100
[[1,6,10,11,12],[2,7],[3,8],[4,9],[5]]=>11110111000
[[1,5,9,11],[2,6,10,12],[3,7],[4,8]]=>11101110101
[[1,6,9,11],[2,7,10,12],[3,8],[4],[5]]=>11110110101
[[1,6,9,12],[2,7,10],[3,8,11],[4],[5]]=>11110110110
[[1,3],[2,5],[4,7],[6,9],[8,11],[10],[12]]=>10101010101
[[1,3],[2,5],[4,7],[6,9],[8],[10],[11],[12]]=>10101010111
[[1,3],[2,5],[4,7],[6,11],[8],[9],[10],[12]]=>10101011101
[[1,3],[2,5],[4,7],[6,10],[8],[9],[11],[12]]=>10101011011
[[1,3],[2,5],[4,7],[6],[8],[9],[10],[11],[12]]=>10101011111
[[1,3],[2,5],[4,9],[6,11],[7],[8],[10],[12]]=>10101110101
[[1,3],[2,5],[4,9],[6,10],[7],[8],[11],[12]]=>10101110111
[[1,3],[2,5],[4,8],[6,11],[7],[9],[10],[12]]=>10101101101
[[1,3],[2,5],[4,8],[6,10],[7],[9],[11],[12]]=>10101101011
[[1,3],[2,5],[4,8],[6],[7],[9],[10],[11],[12]]=>10101101111
[[1,3],[2,5],[4,11],[6],[7],[8],[9],[10],[12]]=>10101111101
[[1,3],[2,5],[4,10],[6],[7],[8],[9],[11],[12]]=>10101111011
[[1,3],[2,5],[4,9],[6],[7],[8],[10],[11],[12]]=>10101110111
[[1,3],[2,5],[4],[6],[7],[8],[9],[10],[11],[12]]=>10101111111
[[1,3],[2,7],[4,9],[5,11],[6],[8],[10],[12]]=>10111010101
[[1,3],[2,7],[4,9],[5,10],[6],[8],[11],[12]]=>10111010111
[[1,3],[2,7],[4,8],[5,11],[6],[9],[10],[12]]=>10111011101
[[1,3],[2,7],[4,8],[5,10],[6],[9],[11],[12]]=>10111011011
[[1,3],[2,7],[4,8],[5],[6],[9],[10],[11],[12]]=>10111011111
[[1,3],[2,6],[4,9],[5,11],[7],[8],[10],[12]]=>10110110101
[[1,3],[2,6],[4,9],[5,10],[7],[8],[11],[12]]=>10110110111
[[1,3],[2,6],[4,8],[5,11],[7],[9],[10],[12]]=>10110101101
[[1,3],[2,6],[4,8],[5,10],[7],[9],[11],[12]]=>10110101011
[[1,3],[2,6],[4,8],[5],[7],[9],[10],[11],[12]]=>10110101111
[[1,3],[2,6],[4,11],[5],[7],[8],[9],[10],[12]]=>10110111101
[[1,3],[2,6],[4,10],[5],[7],[8],[9],[11],[12]]=>10110111011
[[1,3],[2,6],[4,9],[5],[7],[8],[10],[11],[12]]=>10110110111
[[1,3],[2,6],[4],[5],[7],[8],[9],[10],[11],[12]]=>10110111111
[[1,3],[2,9],[4,11],[5],[6],[7],[8],[10],[12]]=>10111110101
[[1,3],[2,9],[4,10],[5],[6],[7],[8],[11],[12]]=>10111110111
[[1,3],[2,8],[4,11],[5],[6],[7],[9],[10],[12]]=>10111101101
[[1,3],[2,8],[4,10],[5],[6],[7],[9],[11],[12]]=>10111101011
[[1,3],[2,8],[4,9],[5],[6],[7],[10],[11],[12]]=>10111101111
[[1,3],[2,7],[4,11],[5],[6],[8],[9],[10],[12]]=>10111011101
[[1,3],[2,7],[4,10],[5],[6],[8],[9],[11],[12]]=>10111011011
[[1,3],[2,7],[4,9],[5],[6],[8],[10],[11],[12]]=>10111010111
[[1,3],[2,7],[4],[5],[6],[8],[9],[10],[11],[12]]=>10111011111
[[1,3],[2,11],[4],[5],[6],[7],[8],[9],[10],[12]]=>10111111101
[[1,3],[2,10],[4],[5],[6],[7],[8],[9],[11],[12]]=>10111111011
[[1,3],[2,9],[4],[5],[6],[7],[8],[10],[11],[12]]=>10111110111
[[1,3],[2,8],[4],[5],[6],[7],[9],[10],[11],[12]]=>10111101111
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>10111111111
[[1,5],[2,7],[3,9],[4,11],[6],[8],[10],[12]]=>11101010101
[[1,5],[2,7],[3,9],[4,10],[6],[8],[11],[12]]=>11101010111
[[1,5],[2,7],[3,8],[4,11],[6],[9],[10],[12]]=>11101011101
[[1,5],[2,7],[3,8],[4,10],[6],[9],[11],[12]]=>11101011011
[[1,5],[2,7],[3,8],[4],[6],[9],[10],[11],[12]]=>11101011111
[[1,5],[2,6],[3,9],[4,11],[7],[8],[10],[12]]=>11101110101
[[1,5],[2,6],[3,9],[4,10],[7],[8],[11],[12]]=>11101110111
[[1,5],[2,6],[3,8],[4,11],[7],[9],[10],[12]]=>11101101101
[[1,5],[2,6],[3,8],[4,10],[7],[9],[11],[12]]=>11101101011
[[1,5],[2,6],[3,8],[4],[7],[9],[10],[11],[12]]=>11101101111
[[1,5],[2,6],[3,11],[4],[7],[8],[9],[10],[12]]=>11101111101
[[1,5],[2,6],[3,10],[4],[7],[8],[9],[11],[12]]=>11101111011
[[1,5],[2,6],[3,9],[4],[7],[8],[10],[11],[12]]=>11101110111
[[1,5],[2,6],[3],[4],[7],[8],[9],[10],[11],[12]]=>11101111111
[[1,4],[2,7],[3,9],[5,11],[6],[8],[10],[12]]=>11011010101
[[1,4],[2,7],[3,9],[5,10],[6],[8],[11],[12]]=>11011010111
[[1,4],[2,7],[3,8],[5,11],[6],[9],[10],[12]]=>11011011101
[[1,4],[2,7],[3,8],[5,10],[6],[9],[11],[12]]=>11011011011
[[1,4],[2,7],[3,8],[5],[6],[9],[10],[11],[12]]=>11011011111
[[1,4],[2,6],[3,9],[5,11],[7],[8],[10],[12]]=>11010110101
[[1,4],[2,6],[3,9],[5,10],[7],[8],[11],[12]]=>11010110111
[[1,4],[2,6],[3,8],[5,11],[7],[9],[10],[12]]=>11010101101
[[1,4],[2,6],[3,8],[5,10],[7],[9],[11],[12]]=>11010101011
[[1,4],[2,6],[3,8],[5],[7],[9],[10],[11],[12]]=>11010101111
[[1,4],[2,6],[3,11],[5],[7],[8],[9],[10],[12]]=>11010111101
[[1,4],[2,6],[3,10],[5],[7],[8],[9],[11],[12]]=>11010111011
[[1,4],[2,6],[3,9],[5],[7],[8],[10],[11],[12]]=>11010110111
[[1,4],[2,6],[3],[5],[7],[8],[9],[10],[11],[12]]=>11010111111
[[1,4],[2,9],[3,11],[5],[6],[7],[8],[10],[12]]=>11011110101
[[1,4],[2,9],[3,10],[5],[6],[7],[8],[11],[12]]=>11011110111
[[1,4],[2,8],[3,11],[5],[6],[7],[9],[10],[12]]=>11011101101
[[1,4],[2,8],[3,10],[5],[6],[7],[9],[11],[12]]=>11011101011
[[1,4],[2,8],[3,9],[5],[6],[7],[10],[11],[12]]=>11011101111
[[1,4],[2,7],[3,11],[5],[6],[8],[9],[10],[12]]=>11011011101
[[1,4],[2,7],[3,10],[5],[6],[8],[9],[11],[12]]=>11011011011
[[1,4],[2,7],[3,9],[5],[6],[8],[10],[11],[12]]=>11011010111
[[1,4],[2,7],[3],[5],[6],[8],[9],[10],[11],[12]]=>11011011111
[[1,4],[2,11],[3],[5],[6],[7],[8],[9],[10],[12]]=>11011111101
[[1,4],[2,10],[3],[5],[6],[7],[8],[9],[11],[12]]=>11011111011
[[1,4],[2,9],[3],[5],[6],[7],[8],[10],[11],[12]]=>11011110111
[[1,4],[2,8],[3],[5],[6],[7],[9],[10],[11],[12]]=>11011101111
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10],[11],[12]]=>11011111111
[[1,7],[2,9],[3,11],[4],[5],[6],[8],[10],[12]]=>11111010101
[[1,7],[2,9],[3,10],[4],[5],[6],[8],[11],[12]]=>11111010111
[[1,7],[2,8],[3,11],[4],[5],[6],[9],[10],[12]]=>11111011101
[[1,7],[2,8],[3,10],[4],[5],[6],[9],[11],[12]]=>11111011011
[[1,7],[2,8],[3,9],[4],[5],[6],[10],[11],[12]]=>11111011111
[[1,6],[2,9],[3,11],[4],[5],[7],[8],[10],[12]]=>11110110101
[[1,6],[2,9],[3,10],[4],[5],[7],[8],[11],[12]]=>11110110111
[[1,6],[2,8],[3,11],[4],[5],[7],[9],[10],[12]]=>11110101101
[[1,6],[2,8],[3,10],[4],[5],[7],[9],[11],[12]]=>11110101011
[[1,6],[2,8],[3,9],[4],[5],[7],[10],[11],[12]]=>11110101111
[[1,6],[2,7],[3,11],[4],[5],[8],[9],[10],[12]]=>11110111101
[[1,6],[2,7],[3,10],[4],[5],[8],[9],[11],[12]]=>11110111011
[[1,6],[2,7],[3,9],[4],[5],[8],[10],[11],[12]]=>11110110111
[[1,6],[2,7],[3],[4],[5],[8],[9],[10],[11],[12]]=>11110111111
[[1,5],[2,9],[3,11],[4],[6],[7],[8],[10],[12]]=>11101110101
[[1,5],[2,9],[3,10],[4],[6],[7],[8],[11],[12]]=>11101110111
[[1,5],[2,8],[3,11],[4],[6],[7],[9],[10],[12]]=>11101101101
[[1,5],[2,8],[3,10],[4],[6],[7],[9],[11],[12]]=>11101101011
[[1,5],[2,8],[3,9],[4],[6],[7],[10],[11],[12]]=>11101101111
[[1,5],[2,7],[3,11],[4],[6],[8],[9],[10],[12]]=>11101011101
[[1,5],[2,7],[3,10],[4],[6],[8],[9],[11],[12]]=>11101011011
[[1,5],[2,7],[3,9],[4],[6],[8],[10],[11],[12]]=>11101010111
[[1,5],[2,7],[3],[4],[6],[8],[9],[10],[11],[12]]=>11101011111
[[1,5],[2,11],[3],[4],[6],[7],[8],[9],[10],[12]]=>11101111101
[[1,5],[2,10],[3],[4],[6],[7],[8],[9],[11],[12]]=>11101111011
[[1,5],[2,9],[3],[4],[6],[7],[8],[10],[11],[12]]=>11101110111
[[1,5],[2,8],[3],[4],[6],[7],[9],[10],[11],[12]]=>11101101111
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]]=>11101111111
[[1,9],[2,11],[3],[4],[5],[6],[7],[8],[10],[12]]=>11111110101
[[1,9],[2,10],[3],[4],[5],[6],[7],[8],[11],[12]]=>11111110111
[[1,8],[2,11],[3],[4],[5],[6],[7],[9],[10],[12]]=>11111101101
[[1,8],[2,10],[3],[4],[5],[6],[7],[9],[11],[12]]=>11111101011
[[1,8],[2,9],[3],[4],[5],[6],[7],[10],[11],[12]]=>11111101111
[[1,7],[2,11],[3],[4],[5],[6],[8],[9],[10],[12]]=>11111011101
[[1,7],[2,10],[3],[4],[5],[6],[8],[9],[11],[12]]=>11111011011
[[1,7],[2,9],[3],[4],[5],[6],[8],[10],[11],[12]]=>11111010111
[[1,7],[2,8],[3],[4],[5],[6],[9],[10],[11],[12]]=>11111011111
[[1,6],[2,11],[3],[4],[5],[7],[8],[9],[10],[12]]=>11110111101
[[1,6],[2,10],[3],[4],[5],[7],[8],[9],[11],[12]]=>11110111011
[[1,6],[2,9],[3],[4],[5],[7],[8],[10],[11],[12]]=>11110110111
[[1,6],[2,8],[3],[4],[5],[7],[9],[10],[11],[12]]=>11110101111
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10],[11],[12]]=>11110111111
[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]=>11111111101
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9],[11],[12]]=>11111111011
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]]=>11111110111
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10],[11],[12]]=>11111101111
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]]=>11111011111
[[1,2,3,4],[5,6],[7,8],[9,11],[10,12]]=>00010101101
[[1,2,3,4],[5,6],[7,9],[8,10],[11,12]]=>00010110110
[[1,2,3,4],[5,6],[7,9],[8,11],[10,12]]=>00010110101
[[1,2,3,4],[5,6],[7,10],[8,11],[9,12]]=>00010111011
[[1,2,3,4],[5,7],[6,8],[9,10],[11,12]]=>00011011010
[[1,2,3,4],[5,7],[6,8],[9,11],[10,12]]=>00011011101
[[1,2,3,4],[5,7],[6,9],[8,10],[11,12]]=>00011010110
[[1,2,3,4],[5,7],[6,9],[8,11],[10,12]]=>00011010101
[[1,2,3,4],[5,7],[6,10],[8,11],[9,12]]=>00011011011
[[1,2,3,4],[5,8],[6,9],[7,10],[11,12]]=>00011101110
[[1,2,3,4],[5,8],[6,9],[7,11],[10,12]]=>00011101101
[[1,2,3,4],[5,8],[6,10],[7,11],[9,12]]=>00011101011
[[1,2,3,4],[5,9],[6,10],[7,11],[8,12]]=>00011110111
[[1,2,3,5],[4,6],[7,8],[9,10],[11,12]]=>00101101010
[[1,2,3,5],[4,6],[7,8],[9,11],[10,12]]=>00101101101
[[1,2,3,5],[4,6],[7,9],[8,10],[11,12]]=>00101110110
[[1,2,3,5],[4,6],[7,9],[8,11],[10,12]]=>00101110101
[[1,2,3,5],[4,6],[7,10],[8,11],[9,12]]=>00101111011
[[1,2,3,5],[4,7],[6,8],[9,10],[11,12]]=>00101011010
[[1,2,3,5],[4,7],[6,8],[9,11],[10,12]]=>00101011101
[[1,2,3,5],[4,7],[6,9],[8,10],[11,12]]=>00101010110
[[1,2,3,5],[4,7],[6,9],[8,11],[10,12]]=>00101010101
[[1,2,3,5],[4,7],[6,10],[8,11],[9,12]]=>00101011011
[[1,2,3,5],[4,8],[6,9],[7,10],[11,12]]=>00101101110
[[1,2,3,5],[4,8],[6,9],[7,11],[10,12]]=>00101101101
[[1,2,3,5],[4,8],[6,10],[7,11],[9,12]]=>00101101011
[[1,2,3,5],[4,9],[6,10],[7,11],[8,12]]=>00101110111
[[1,2,3,6],[4,7],[5,8],[9,10],[11,12]]=>00110111010
[[1,2,3,6],[4,7],[5,8],[9,11],[10,12]]=>00110111101
[[1,2,3,6],[4,7],[5,9],[8,10],[11,12]]=>00110110110
[[1,2,3,6],[4,7],[5,9],[8,11],[10,12]]=>00110110101
[[1,2,3,6],[4,7],[5,10],[8,11],[9,12]]=>00110111011
[[1,2,3,6],[4,8],[5,9],[7,10],[11,12]]=>00110101110
[[1,2,3,6],[4,8],[5,9],[7,11],[10,12]]=>00110101101
[[1,2,3,6],[4,8],[5,10],[7,11],[9,12]]=>00110101011
[[1,2,3,6],[4,9],[5,10],[7,11],[8,12]]=>00110110111
[[1,2,3,7],[4,8],[5,9],[6,10],[11,12]]=>00111011110
[[1,2,3,7],[4,8],[5,9],[6,11],[10,12]]=>00111011101
[[1,2,3,7],[4,8],[5,10],[6,11],[9,12]]=>00111011011
[[1,2,3,7],[4,9],[5,10],[6,11],[8,12]]=>00111010111
[[1,2,3,8],[4,9],[5,10],[6,11],[7,12]]=>00111101111
[[1,2,4,6],[3,5],[7,8],[9,10],[11,12]]=>01010101010
[[1,2,4,6],[3,5],[7,8],[9,11],[10,12]]=>01010101101
[[1,2,4,6],[3,5],[7,9],[8,10],[11,12]]=>01010110110
[[1,2,4,6],[3,5],[7,9],[8,11],[10,12]]=>01010110101
[[1,2,4,6],[3,5],[7,10],[8,11],[9,12]]=>01010111011
[[1,2,4,7],[3,5],[6,8],[9,10],[11,12]]=>01011011010
[[1,2,4,7],[3,5],[6,8],[9,11],[10,12]]=>01011011101
[[1,2,4,7],[3,5],[6,9],[8,10],[11,12]]=>01011010110
[[1,2,4,7],[3,5],[6,9],[8,11],[10,12]]=>01011010101
[[1,2,4,7],[3,5],[6,10],[8,11],[9,12]]=>01011011011
[[1,2,4,8],[3,5],[6,9],[7,10],[11,12]]=>01011101110
[[1,2,4,8],[3,5],[6,9],[7,11],[10,12]]=>01011101101
[[1,2,4,8],[3,5],[6,10],[7,11],[9,12]]=>01011101011
[[1,2,4,9],[3,5],[6,10],[7,11],[8,12]]=>01011110111
[[1,2,4,5],[3,6],[7,8],[9,10],[11,12]]=>01001101010
[[1,2,4,5],[3,6],[7,8],[9,11],[10,12]]=>01001101101
[[1,2,4,5],[3,6],[7,9],[8,10],[11,12]]=>01001110110
[[1,2,4,5],[3,6],[7,9],[8,11],[10,12]]=>01001110101
[[1,2,4,5],[3,6],[7,10],[8,11],[9,12]]=>01001111011
[[1,2,4,5],[3,7],[6,8],[9,10],[11,12]]=>01001011010
[[1,2,4,5],[3,7],[6,8],[9,11],[10,12]]=>01001011101
[[1,2,4,5],[3,7],[6,9],[8,10],[11,12]]=>01001010110
[[1,2,4,5],[3,7],[6,9],[8,11],[10,12]]=>01001010101
[[1,2,4,5],[3,7],[6,10],[8,11],[9,12]]=>01001011011
[[1,2,4,5],[3,8],[6,9],[7,10],[11,12]]=>01001101110
[[1,2,4,5],[3,8],[6,9],[7,11],[10,12]]=>01001101101
[[1,2,4,5],[3,8],[6,10],[7,11],[9,12]]=>01001101011
[[1,2,4,5],[3,9],[6,10],[7,11],[8,12]]=>01001110111
[[1,2,4,6],[3,7],[5,8],[9,10],[11,12]]=>01010111010
[[1,2,4,6],[3,7],[5,8],[9,11],[10,12]]=>01010111101
[[1,2,4,6],[3,7],[5,9],[8,10],[11,12]]=>01010110110
[[1,2,4,6],[3,7],[5,9],[8,11],[10,12]]=>01010110101
[[1,2,4,6],[3,7],[5,10],[8,11],[9,12]]=>01010111011
[[1,2,4,6],[3,8],[5,9],[7,10],[11,12]]=>01010101110
[[1,2,4,6],[3,8],[5,9],[7,11],[10,12]]=>01010101101
[[1,2,4,6],[3,8],[5,10],[7,11],[9,12]]=>01010101011
[[1,2,4,6],[3,9],[5,10],[7,11],[8,12]]=>01010110111
[[1,2,4,7],[3,8],[5,9],[6,10],[11,12]]=>01011011110
[[1,2,4,7],[3,8],[5,9],[6,11],[10,12]]=>01011011101
[[1,2,4,7],[3,8],[5,10],[6,11],[9,12]]=>01011011011
[[1,2,4,7],[3,9],[5,10],[6,11],[8,12]]=>01011010111
[[1,2,4,8],[3,9],[5,10],[6,11],[7,12]]=>01011101111
[[1,2,5,8],[3,6],[4,7],[9,10],[11,12]]=>01101101010
[[1,2,5,8],[3,6],[4,7],[9,11],[10,12]]=>01101101101
[[1,2,5,9],[3,6],[4,7],[8,10],[11,12]]=>01101110110
[[1,2,5,9],[3,6],[4,7],[8,11],[10,12]]=>01101110101
[[1,2,5,10],[3,6],[4,7],[8,11],[9,12]]=>01101111011
[[1,2,5,7],[3,6],[4,8],[9,10],[11,12]]=>01101011010
[[1,2,5,7],[3,6],[4,8],[9,11],[10,12]]=>01101011101
[[1,2,5,7],[3,6],[4,9],[8,10],[11,12]]=>01101010110
[[1,2,5,7],[3,6],[4,9],[8,11],[10,12]]=>01101010101
[[1,2,5,7],[3,6],[4,10],[8,11],[9,12]]=>01101011011
[[1,2,5,8],[3,6],[4,9],[7,10],[11,12]]=>01101101110
[[1,2,5,8],[3,6],[4,9],[7,11],[10,12]]=>01101101101
[[1,2,5,8],[3,6],[4,10],[7,11],[9,12]]=>01101101011
[[1,2,5,9],[3,6],[4,10],[7,11],[8,12]]=>01101110111
[[1,2,5,6],[3,7],[4,8],[9,10],[11,12]]=>01100111010
[[1,2,5,6],[3,7],[4,8],[9,11],[10,12]]=>01100111101
[[1,2,5,6],[3,7],[4,9],[8,10],[11,12]]=>01100110110
[[1,2,5,6],[3,7],[4,9],[8,11],[10,12]]=>01100110101
[[1,2,5,6],[3,7],[4,10],[8,11],[9,12]]=>01100111011
[[1,2,5,6],[3,8],[4,9],[7,10],[11,12]]=>01100101110
[[1,2,5,6],[3,8],[4,9],[7,11],[10,12]]=>01100101101
[[1,2,5,6],[3,8],[4,10],[7,11],[9,12]]=>01100101011
[[1,2,5,6],[3,9],[4,10],[7,11],[8,12]]=>01100110111
[[1,2,5,7],[3,8],[4,9],[6,10],[11,12]]=>01101011110
[[1,2,5,7],[3,8],[4,9],[6,11],[10,12]]=>01101011101
[[1,2,5,7],[3,8],[4,10],[6,11],[9,12]]=>01101011011
[[1,2,5,7],[3,9],[4,10],[6,11],[8,12]]=>01101010111
[[1,2,5,8],[3,9],[4,10],[6,11],[7,12]]=>01101101111
[[1,2,6,10],[3,7],[4,8],[5,9],[11,12]]=>01110111010
[[1,2,6,11],[3,7],[4,8],[5,9],[10,12]]=>01110111101
[[1,2,6,9],[3,7],[4,8],[5,10],[11,12]]=>01110110110
[[1,2,6,9],[3,7],[4,8],[5,11],[10,12]]=>01110110101
[[1,2,6,10],[3,7],[4,8],[5,11],[9,12]]=>01110111011
[[1,2,6,8],[3,7],[4,9],[5,10],[11,12]]=>01110101110
[[1,2,6,8],[3,7],[4,9],[5,11],[10,12]]=>01110101101
[[1,2,6,8],[3,7],[4,10],[5,11],[9,12]]=>01110101011
[[1,2,6,9],[3,7],[4,10],[5,11],[8,12]]=>01110110111
[[1,2,6,7],[3,8],[4,9],[5,10],[11,12]]=>01110011110
[[1,2,6,7],[3,8],[4,9],[5,11],[10,12]]=>01110011101
[[1,2,6,7],[3,8],[4,10],[5,11],[9,12]]=>01110011011
[[1,2,6,7],[3,9],[4,10],[5,11],[8,12]]=>01110010111
[[1,2,6,8],[3,9],[4,10],[5,11],[7,12]]=>01110101111
[[1,2,7,12],[3,8],[4,9],[5,10],[6,11]]=>01111011110
[[1,2,7,11],[3,8],[4,9],[5,10],[6,12]]=>01111011101
[[1,2,7,10],[3,8],[4,9],[5,11],[6,12]]=>01111011011
[[1,2,7,9],[3,8],[4,10],[5,11],[6,12]]=>01111010111
[[1,2,7,8],[3,9],[4,10],[5,11],[6,12]]=>01111001111
[[1,2,8],[3,9],[4,10],[5,11],[6,12],[7]]=>01111101111
[[1,3,7],[2,4,8],[5,9],[6,10],[11],[12]]=>10111011111
[[1,2,3,5,7,10],[4,6,8,11],[9,12]]=>00101011011
[[1,2,4,8],[3,5,9],[6,10],[7,11],[12]]=>01011101111
[[1,4,8],[2,5,9],[3,6,10],[7,11],[12]]=>11011101111
[[1,2,5,9],[3,6,10],[4,7,11],[8,12]]=>01101110111
[[1,3,6,9],[2,4,7,10],[5,8,11],[12]]=>10110110111
[[1,2,4,7,10],[3,5,8,11],[6,9,12]]=>01011011011
[[1,2,4,6,9],[3,5,7,10],[8,11],[12]]=>01010110111
[[1,2,4,6,8],[3,5,7,9],[10],[11],[12]]=>01010101111
[[1,2,3,6,9],[4,7,10],[5,8,11],[12]]=>00110110111
[[1,2,3,5,9],[4,6,10],[7,11],[8,12]]=>00101110111
[[1,2,3,5,8],[4,6,9],[7,10],[11],[12]]=>00101101111
[[1,2,3,4,8],[5,9],[6,10],[7,11],[12]]=>00011101111
[[1,3,5,9],[2,4,6,10],[7,11],[8,12]]=>10101110111
[[1,3,5,8],[2,4,6,9],[7,10],[11],[12]]=>10101101111
[[1,2,5,8],[3,6,9],[4,7,10],[11],[12]]=>01101101111
[[1,5,7,9,11],[2,6,8,10,12],[3],[4]]=>11101010101
[[1,5,7,9,10],[2,6,8,11,12],[3],[4]]=>11101010010
[[1,5,7,8,11],[2,6,9,10,12],[3],[4]]=>11101001001
[[1,5,7,8,10],[2,6,9,11,12],[3],[4]]=>11101001010
[[1,5,7,8,9],[2,6,10,11,12],[3],[4]]=>11101000100
[[1,5,6,9,11],[2,7,8,10,12],[3],[4]]=>11100100101
[[1,5,6,9,10],[2,7,8,11,12],[3],[4]]=>11100100010
[[1,5,6,8,11],[2,7,9,10,12],[3],[4]]=>11100101001
[[1,5,6,8,10],[2,7,9,11,12],[3],[4]]=>11100101010
[[1,5,6,8,9],[2,7,10,11,12],[3],[4]]=>11100100100
[[1,5,6,7,11],[2,8,9,10,12],[3],[4]]=>11100010001
[[1,5,6,7,10],[2,8,9,11,12],[3],[4]]=>11100010010
[[1,5,6,7,9],[2,8,10,11,12],[3],[4]]=>11100010100
[[1,5,6,7,8],[2,9,10,11,12],[3],[4]]=>11100001000
[[1,4,7,9,11],[2,6,8,10,12],[3],[5]]=>11010010101
[[1,4,7,9,10],[2,6,8,11,12],[3],[5]]=>11010010010
[[1,4,7,8,11],[2,6,9,10,12],[3],[5]]=>11010001001
[[1,4,7,8,10],[2,6,9,11,12],[3],[5]]=>11010001010
[[1,4,7,8,9],[2,6,10,11,12],[3],[5]]=>11010000100
[[1,4,6,9,11],[2,7,8,10,12],[3],[5]]=>11010100101
[[1,4,6,9,10],[2,7,8,11,12],[3],[5]]=>11010100010
[[1,4,6,8,11],[2,7,9,10,12],[3],[5]]=>11010101001
[[1,4,6,8,10],[2,7,9,11,12],[3],[5]]=>11010101010
[[1,4,6,8,9],[2,7,10,11,12],[3],[5]]=>11010100100
[[1,4,6,7,11],[2,8,9,10,12],[3],[5]]=>11010010001
[[1,4,6,7,10],[2,8,9,11,12],[3],[5]]=>11010010010
[[1,4,6,7,9],[2,8,10,11,12],[3],[5]]=>11010010100
[[1,4,6,7,8],[2,9,10,11,12],[3],[5]]=>11010001000
[[1,4,5,9,11],[2,7,8,10,12],[3],[6]]=>11001000101
[[1,4,5,9,10],[2,7,8,11,12],[3],[6]]=>11001000010
[[1,4,5,8,11],[2,7,9,10,12],[3],[6]]=>11001001001
[[1,4,5,8,10],[2,7,9,11,12],[3],[6]]=>11001001010
[[1,4,5,8,9],[2,7,10,11,12],[3],[6]]=>11001000100
[[1,4,5,7,11],[2,8,9,10,12],[3],[6]]=>11001010001
[[1,4,5,7,10],[2,8,9,11,12],[3],[6]]=>11001010010
[[1,4,5,7,9],[2,8,10,11,12],[3],[6]]=>11001010100
[[1,4,5,7,8],[2,9,10,11,12],[3],[6]]=>11001001000
[[1,4,5,6,11],[2,8,9,10,12],[3],[7]]=>11000100001
[[1,4,5,6,10],[2,8,9,11,12],[3],[7]]=>11000100010
[[1,4,5,6,9],[2,8,10,11,12],[3],[7]]=>11000100100
[[1,4,5,6,8],[2,9,10,11,12],[3],[7]]=>11000101000
[[1,3,7,9,11],[2,5,8,10,12],[4],[6]]=>10101010101
[[1,3,7,9,10],[2,5,8,11,12],[4],[6]]=>10101010010
[[1,3,7,8,11],[2,5,9,10,12],[4],[6]]=>10101001001
[[1,3,7,8,10],[2,5,9,11,12],[4],[6]]=>10101001010
[[1,3,7,8,9],[2,5,10,11,12],[4],[6]]=>10101000100
[[1,3,6,9,11],[2,5,8,10,12],[4],[7]]=>10100100101
[[1,3,6,9,10],[2,5,8,11,12],[4],[7]]=>10100100010
[[1,3,6,8,11],[2,5,9,10,12],[4],[7]]=>10100101001
[[1,3,6,8,10],[2,5,9,11,12],[4],[7]]=>10100101010
[[1,3,6,8,9],[2,5,10,11,12],[4],[7]]=>10100100100
[[1,3,6,7,11],[2,5,9,10,12],[4],[8]]=>10100010001
[[1,3,6,7,10],[2,5,9,11,12],[4],[8]]=>10100010010
[[1,3,6,7,9],[2,5,10,11,12],[4],[8]]=>10100010100
[[1,3,6,7,8],[2,5,10,11,12],[4],[9]]=>10100001000
[[1,3,7,9,11],[2,6,8,10,12],[4],[5]]=>10110010101
[[1,3,7,9,10],[2,6,8,11,12],[4],[5]]=>10110010010
[[1,3,7,8,11],[2,6,9,10,12],[4],[5]]=>10110001001
[[1,3,7,8,10],[2,6,9,11,12],[4],[5]]=>10110001010
[[1,3,7,8,9],[2,6,10,11,12],[4],[5]]=>10110000100
[[1,3,6,9,11],[2,7,8,10,12],[4],[5]]=>10110100101
[[1,3,6,9,10],[2,7,8,11,12],[4],[5]]=>10110100010
[[1,3,6,8,11],[2,7,9,10,12],[4],[5]]=>10110101001
[[1,3,6,8,10],[2,7,9,11,12],[4],[5]]=>10110101010
[[1,3,6,8,9],[2,7,10,11,12],[4],[5]]=>10110100100
[[1,3,6,7,11],[2,8,9,10,12],[4],[5]]=>10110010001
[[1,3,6,7,10],[2,8,9,11,12],[4],[5]]=>10110010010
[[1,3,6,7,9],[2,8,10,11,12],[4],[5]]=>10110010100
[[1,3,6,7,8],[2,9,10,11,12],[4],[5]]=>10110001000
[[1,3,5,9,11],[2,7,8,10,12],[4],[6]]=>10101000101
[[1,3,5,9,10],[2,7,8,11,12],[4],[6]]=>10101000010
[[1,3,5,8,11],[2,7,9,10,12],[4],[6]]=>10101001001
[[1,3,5,8,10],[2,7,9,11,12],[4],[6]]=>10101001010
[[1,3,5,8,9],[2,7,10,11,12],[4],[6]]=>10101000100
[[1,3,5,7,11],[2,8,9,10,12],[4],[6]]=>10101010001
[[1,3,5,7,10],[2,8,9,11,12],[4],[6]]=>10101010010
[[1,3,5,7,9],[2,8,10,11,12],[4],[6]]=>10101010100
[[1,3,5,7,8],[2,9,10,11,12],[4],[6]]=>10101001000
[[1,3,5,6,11],[2,8,9,10,12],[4],[7]]=>10100100001
[[1,3,5,6,10],[2,8,9,11,12],[4],[7]]=>10100100010
[[1,3,5,6,9],[2,8,10,11,12],[4],[7]]=>10100100100
[[1,3,5,6,8],[2,9,10,11,12],[4],[7]]=>10100101000
[[1,3,5,6,7],[2,9,10,11,12],[4],[8]]=>10100010000
[[1,3,4,9,11],[2,6,7,10,12],[5],[8]]=>10010010101
[[1,3,4,9,10],[2,6,7,11,12],[5],[8]]=>10010010010
[[1,3,4,8,11],[2,6,7,10,12],[5],[9]]=>10010001001
[[1,3,4,8,10],[2,6,7,11,12],[5],[9]]=>10010001010
[[1,3,4,8,9],[2,6,7,11,12],[5],[10]]=>10010000100
[[1,3,4,9,11],[2,6,8,10,12],[5],[7]]=>10010100101
[[1,3,4,9,10],[2,6,8,11,12],[5],[7]]=>10010100010
[[1,3,4,8,11],[2,6,9,10,12],[5],[7]]=>10010101001
[[1,3,4,8,10],[2,6,9,11,12],[5],[7]]=>10010101010
[[1,3,4,8,9],[2,6,10,11,12],[5],[7]]=>10010100100
[[1,3,4,7,11],[2,6,9,10,12],[5],[8]]=>10010010001
[[1,3,4,7,10],[2,6,9,11,12],[5],[8]]=>10010010010
[[1,3,4,7,9],[2,6,10,11,12],[5],[8]]=>10010010100
[[1,3,4,7,8],[2,6,10,11,12],[5],[9]]=>10010001000
[[1,3,4,9,11],[2,7,8,10,12],[5],[6]]=>10011000101
[[1,3,4,9,10],[2,7,8,11,12],[5],[6]]=>10011000010
[[1,3,4,8,11],[2,7,9,10,12],[5],[6]]=>10011001001
[[1,3,4,8,10],[2,7,9,11,12],[5],[6]]=>10011001010
[[1,3,4,8,9],[2,7,10,11,12],[5],[6]]=>10011000100
[[1,3,4,7,11],[2,8,9,10,12],[5],[6]]=>10011010001
[[1,3,4,7,10],[2,8,9,11,12],[5],[6]]=>10011010010
[[1,3,4,7,9],[2,8,10,11,12],[5],[6]]=>10011010100
[[1,3,4,7,8],[2,9,10,11,12],[5],[6]]=>10011001000
[[1,3,4,6,11],[2,8,9,10,12],[5],[7]]=>10010100001
[[1,3,4,6,10],[2,8,9,11,12],[5],[7]]=>10010100010
[[1,3,4,6,9],[2,8,10,11,12],[5],[7]]=>10010100100
[[1,3,4,6,8],[2,9,10,11,12],[5],[7]]=>10010101000
[[1,3,4,6,7],[2,9,10,11,12],[5],[8]]=>10010010000
[[1,3,4,5,11],[2,7,8,9,12],[6],[10]]=>10001000101
[[1,3,4,5,10],[2,7,8,9,12],[6],[11]]=>10001000010
[[1,3,4,5,11],[2,7,8,10,12],[6],[9]]=>10001001001
[[1,3,4,5,10],[2,7,8,11,12],[6],[9]]=>10001001010
[[1,3,4,5,9],[2,7,8,11,12],[6],[10]]=>10001000100
[[1,3,4,5,11],[2,7,9,10,12],[6],[8]]=>10001010001
[[1,3,4,5,10],[2,7,9,11,12],[6],[8]]=>10001010010
[[1,3,4,5,9],[2,7,10,11,12],[6],[8]]=>10001010100
[[1,3,4,5,8],[2,7,10,11,12],[6],[9]]=>10001001000
[[1,3,4,5,11],[2,8,9,10,12],[6],[7]]=>10001100001
[[1,3,4,5,10],[2,8,9,11,12],[6],[7]]=>10001100010
[[1,3,4,5,9],[2,8,10,11,12],[6],[7]]=>10001100100
[[1,3,4,5,8],[2,9,10,11,12],[6],[7]]=>10001101000
[[1,3,4,5,7],[2,9,10,11,12],[6],[8]]=>10001010000
[[1,3,4,5,6],[2,8,9,10,11],[7],[12]]=>10000100001
[[1,3,4,5,6],[2,8,9,10,12],[7],[11]]=>10000100010
[[1,3,4,5,6],[2,8,9,11,12],[7],[10]]=>10000100100
[[1,3,4,5,6],[2,8,10,11,12],[7],[9]]=>10000101000
[[1,3,4,5,6],[2,9,10,11,12],[7],[8]]=>10000110000
[[1,3,4,5,6,7],[2,9,10,11,12],[8]]=>10000010000
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]]=>000010001001
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]]=>000010001010
[[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]]=>000010001011
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]]=>000010010010
[[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]]=>000010010011
[[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]]=>000010010101
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]]=>000100010010
[[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]]=>000100010011
[[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]]=>000100010101
[[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]]=>000100100101
[[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]=>100100010000
[[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]=>010100010000
[[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]=>110100010000
[[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]=>010010010000
[[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]=>110010010000
[[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]=>101010010000
[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>010010001000
[[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]=>110010001000
[[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]=>101010001000
[[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]=>101001001000
[[1,6,10,13],[2,7,11],[3,8,12],[4,9],[5]]=>111101110110
[[1,5,9,12],[2,6,10,13],[3,7,11],[4,8]]=>111011101101
[[1,5,8,11,13],[2,6,9,12],[3,7,10],[4]]=>111011011010
[[1,5,9,11,13],[2,6,10,12],[3,7],[4,8]]=>111011101010
[[1,6,9,11,13],[2,7,10,12],[3,8],[4],[5]]=>111101101010
[[1,5,9,12,13],[2,6,10],[3,7,11],[4,8]]=>111011101100
[[1,6,9,12,13],[2,7,10],[3,8,11],[4],[5]]=>111101101100
[[1,6,10,12,13],[2,7,11],[3,8],[4,9],[5]]=>111101110100
[[1,6,9,12],[2,7,10,13],[3,8,11],[4],[5]]=>111101101101
[[1,6,10,12],[2,7,11,13],[3,8],[4,9],[5]]=>111101110101
[[1,2,5,9],[3,6,10],[4,7,11],[8,12],[13]]=>011011101111
[[1,3,6,10],[2,4,7,11],[5,8,12],[9,13]]=>101101110111
[[1,2,4,7,10],[3,5,8,11],[6,9,12],[13]]=>010110110111
[[1,2,4,6,10],[3,5,7,11],[8,12],[9,13]]=>010101110111
[[1,2,4,6,9],[3,5,7,10],[8,11],[12],[13]]=>010101101111
[[1,2,3,6,10],[4,7,11],[5,8,12],[9,13]]=>001101110111
[[1,2,3,6,9],[4,7,10],[5,8,11],[12],[13]]=>001101101111
[[1,2,3,5,9],[4,6,10],[7,11],[8,12],[13]]=>001011101111
[[1,3,6,9],[2,4,7,10],[5,8,11],[12],[13]]=>101101101111
[[1,3,5,9],[2,4,6,10],[7,11],[8,12],[13]]=>101011101111
[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]]=>1010101010101
[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]]=>1010101010010
[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]=>1010101001001
[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]]=>1010101001010
[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]]=>1010101000100
[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]=>1010100100101
[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]=>1010100100010
[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]]=>1010100101001
[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]]=>1010100101010
[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]]=>1010100100100
[[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]]=>1010100010001
[[1,3,5,7,8,9,12],[2,4,6,10,11,13,14]]=>1010100010010
[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]]=>1010100010100
[[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]]=>1010100001000
[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]=>1010010010101
[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]=>1010010010010
[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]=>1010010001001
[[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]]=>1010010001010
[[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]]=>1010010000100
[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]]=>1010010100101
[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]]=>1010010100010
[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]]=>1010010101001
[[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]]=>1010010101010
[[1,3,5,6,8,10,11],[2,4,7,9,12,13,14]]=>1010010100100
[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]]=>1010010010001
[[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]]=>1010010010010
[[1,3,5,6,8,9,11],[2,4,7,10,12,13,14]]=>1010010010100
[[1,3,5,6,8,9,10],[2,4,7,11,12,13,14]]=>1010010001000
[[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]]=>1010001000101
[[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]]=>1010001000010
[[1,3,5,6,7,10,13],[2,4,8,9,11,12,14]]=>1010001001001
[[1,3,5,6,7,10,12],[2,4,8,9,11,13,14]]=>1010001001010
[[1,3,5,6,7,10,11],[2,4,8,9,12,13,14]]=>1010001000100
[[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]]=>1010001010001
[[1,3,5,6,7,9,12],[2,4,8,10,11,13,14]]=>1010001010010
[[1,3,5,6,7,9,11],[2,4,8,10,12,13,14]]=>1010001010100
[[1,3,5,6,7,9,10],[2,4,8,11,12,13,14]]=>1010001001000
[[1,3,5,6,7,8,13],[2,4,9,10,11,12,14]]=>1010000100001
[[1,3,5,6,7,8,12],[2,4,9,10,11,13,14]]=>1010000100010
[[1,3,5,6,7,8,11],[2,4,9,10,12,13,14]]=>1010000100100
[[1,3,5,6,7,8,10],[2,4,9,11,12,13,14]]=>1010000101000
[[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]]=>1010000010000
[[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]=>1001001010101
[[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]=>1001001010010
[[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]=>1001001001001
[[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]=>1001001001010
[[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]]=>1001001000100
[[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]=>1001000100101
[[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]=>1001000100010
[[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]=>1001000101001
[[1,3,4,7,8,10,12],[2,5,6,9,11,13,14]]=>1001000101010
[[1,3,4,7,8,10,11],[2,5,6,9,12,13,14]]=>1001000100100
[[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]]=>1001000010001
[[1,3,4,7,8,9,12],[2,5,6,10,11,13,14]]=>1001000010010
[[1,3,4,7,8,9,11],[2,5,6,10,12,13,14]]=>1001000010100
[[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]]=>1001000001000
[[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]]=>1001010010101
[[1,3,4,6,9,11,12],[2,5,7,8,10,13,14]]=>1001010010010
[[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]=>1001010001001
[[1,3,4,6,9,10,12],[2,5,7,8,11,13,14]]=>1001010001010
[[1,3,4,6,9,10,11],[2,5,7,8,12,13,14]]=>1001010000100
[[1,3,4,6,8,11,13],[2,5,7,9,10,12,14]]=>1001010100101
[[1,3,4,6,8,11,12],[2,5,7,9,10,13,14]]=>1001010100010
[[1,3,4,6,8,10,13],[2,5,7,9,11,12,14]]=>1001010101001
[[1,3,4,6,8,10,12],[2,5,7,9,11,13,14]]=>1001010101010
[[1,3,4,6,8,10,11],[2,5,7,9,12,13,14]]=>1001010100100
[[1,3,4,6,8,9,13],[2,5,7,10,11,12,14]]=>1001010010001
[[1,3,4,6,8,9,12],[2,5,7,10,11,13,14]]=>1001010010010
[[1,3,4,6,8,9,11],[2,5,7,10,12,13,14]]=>1001010010100
[[1,3,4,6,8,9,10],[2,5,7,11,12,13,14]]=>1001010001000
[[1,3,4,6,7,11,13],[2,5,8,9,10,12,14]]=>1001001000101
[[1,3,4,6,7,11,12],[2,5,8,9,10,13,14]]=>1001001000010
[[1,3,4,6,7,10,13],[2,5,8,9,11,12,14]]=>1001001001001
[[1,3,4,6,7,10,12],[2,5,8,9,11,13,14]]=>1001001001010
[[1,3,4,6,7,10,11],[2,5,8,9,12,13,14]]=>1001001000100
[[1,3,4,6,7,9,13],[2,5,8,10,11,12,14]]=>1001001010001
[[1,3,4,6,7,9,12],[2,5,8,10,11,13,14]]=>1001001010010
[[1,3,4,6,7,9,11],[2,5,8,10,12,13,14]]=>1001001010100
[[1,3,4,6,7,9,10],[2,5,8,11,12,13,14]]=>1001001001000
[[1,3,4,6,7,8,13],[2,5,9,10,11,12,14]]=>1001000100001
[[1,3,4,6,7,8,12],[2,5,9,10,11,13,14]]=>1001000100010
[[1,3,4,6,7,8,11],[2,5,9,10,12,13,14]]=>1001000100100
[[1,3,4,6,7,8,10],[2,5,9,11,12,13,14]]=>1001000101000
[[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]=>1001000010000
[[1,3,4,5,9,11,13],[2,6,7,8,10,12,14]]=>1000100010101
[[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]]=>1000100010010
[[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]]=>1000100001001
[[1,3,4,5,9,10,12],[2,6,7,8,11,13,14]]=>1000100001010
[[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]]=>1000100000100
[[1,3,4,5,8,11,13],[2,6,7,9,10,12,14]]=>1000100100101
[[1,3,4,5,8,11,12],[2,6,7,9,10,13,14]]=>1000100100010
[[1,3,4,5,8,10,13],[2,6,7,9,11,12,14]]=>1000100101001
[[1,3,4,5,8,10,12],[2,6,7,9,11,13,14]]=>1000100101010
[[1,3,4,5,8,10,11],[2,6,7,9,12,13,14]]=>1000100100100
[[1,3,4,5,8,9,13],[2,6,7,10,11,12,14]]=>1000100010001
[[1,3,4,5,8,9,12],[2,6,7,10,11,13,14]]=>1000100010010
[[1,3,4,5,8,9,11],[2,6,7,10,12,13,14]]=>1000100010100
[[1,3,4,5,8,9,10],[2,6,7,11,12,13,14]]=>1000100001000
[[1,3,4,5,7,11,13],[2,6,8,9,10,12,14]]=>1000101000101
[[1,3,4,5,7,11,12],[2,6,8,9,10,13,14]]=>1000101000010
[[1,3,4,5,7,10,13],[2,6,8,9,11,12,14]]=>1000101001001
[[1,3,4,5,7,10,12],[2,6,8,9,11,13,14]]=>1000101001010
[[1,3,4,5,7,10,11],[2,6,8,9,12,13,14]]=>1000101000100
[[1,3,4,5,7,9,13],[2,6,8,10,11,12,14]]=>1000101010001
[[1,3,4,5,7,9,12],[2,6,8,10,11,13,14]]=>1000101010010
[[1,3,4,5,7,9,11],[2,6,8,10,12,13,14]]=>1000101010100
[[1,3,4,5,7,9,10],[2,6,8,11,12,13,14]]=>1000101001000
[[1,3,4,5,7,8,13],[2,6,9,10,11,12,14]]=>1000100100001
[[1,3,4,5,7,8,12],[2,6,9,10,11,13,14]]=>1000100100010
[[1,3,4,5,7,8,11],[2,6,9,10,12,13,14]]=>1000100100100
[[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]=>1000100101000
[[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]=>1000100010000
[[1,3,4,5,6,11,13],[2,7,8,9,10,12,14]]=>1000010000101
[[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]]=>1000010000010
[[1,3,4,5,6,10,13],[2,7,8,9,11,12,14]]=>1000010001001
[[1,3,4,5,6,10,12],[2,7,8,9,11,13,14]]=>1000010001010
[[1,3,4,5,6,10,11],[2,7,8,9,12,13,14]]=>1000010000100
[[1,3,4,5,6,9,13],[2,7,8,10,11,12,14]]=>1000010010001
[[1,3,4,5,6,9,12],[2,7,8,10,11,13,14]]=>1000010010010
[[1,3,4,5,6,9,11],[2,7,8,10,12,13,14]]=>1000010010100
[[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]=>1000010001000
[[1,3,4,5,6,8,13],[2,7,9,10,11,12,14]]=>1000010100001
[[1,3,4,5,6,8,12],[2,7,9,10,11,13,14]]=>1000010100010
[[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]=>1000010100100
[[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]=>1000010101000
[[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]=>1000010010000
[[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]]=>1000001000001
[[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]=>1000001000010
[[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]=>1000001000100
[[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]=>1000001001000
[[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]=>1000001010000
[[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]=>1000000100000
[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]=>0100101010101
[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]=>0100101010010
[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]=>0100101001001
[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]]=>0100101001010
[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]]=>0100101000100
[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]=>0100100100101
[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]=>0100100100010
[[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]=>0100100101001
[[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]]=>0100100101010
[[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]]=>0100100100100
[[1,2,5,7,8,9,13],[3,4,6,10,11,12,14]]=>0100100010001
[[1,2,5,7,8,9,12],[3,4,6,10,11,13,14]]=>0100100010010
[[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]]=>0100100010100
[[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]]=>0100100001000
[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]=>0100010010101
[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]=>0100010010010
[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]=>0100010001001
[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]=>0100010001010
[[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]]=>0100010000100
[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]=>0100010100101
[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]]=>0100010100010
[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]]=>0100010101001
[[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]]=>0100010101010
[[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]]=>0100010100100
[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]]=>0100010010001
[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]]=>0100010010010
[[1,2,5,6,8,9,10],[3,4,7,11,12,13,14]]=>0100010001000
[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]]=>0100001000101
[[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]]=>0100001000010
[[1,2,5,6,7,10,13],[3,4,8,9,11,12,14]]=>0100001001001
[[1,2,5,6,7,10,12],[3,4,8,9,11,13,14]]=>0100001001010
[[1,2,5,6,7,10,11],[3,4,8,9,12,13,14]]=>0100001000100
[[1,2,5,6,7,9,13],[3,4,8,10,11,12,14]]=>0100001010001
[[1,2,5,6,7,9,12],[3,4,8,10,11,13,14]]=>0100001010010
[[1,2,5,6,7,9,11],[3,4,8,10,12,13,14]]=>0100001010100
[[1,2,5,6,7,9,10],[3,4,8,11,12,13,14]]=>0100001001000
[[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]]=>0100000100001
[[1,2,5,6,7,8,12],[3,4,9,10,11,13,14]]=>0100000100010
[[1,2,5,6,7,8,11],[3,4,9,10,12,13,14]]=>0100000100100
[[1,2,5,6,7,8,10],[3,4,9,11,12,13,14]]=>0100000101000
[[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]=>0100000010000
[[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]=>0101001010101
[[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]]=>0101001010010
[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]=>0101001001001
[[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]]=>0101001001010
[[1,2,4,7,9,10,11],[3,5,6,8,12,13,14]]=>0101001000100
[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]=>0101000100101
[[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]=>0101000100010
[[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]]=>0101000101001
[[1,2,4,7,8,10,12],[3,5,6,9,11,13,14]]=>0101000101010
[[1,2,4,7,8,10,11],[3,5,6,9,12,13,14]]=>0101000100100
[[1,2,4,7,8,9,13],[3,5,6,10,11,12,14]]=>0101000010001
[[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]]=>0101000010010
[[1,2,4,7,8,9,11],[3,5,6,10,12,13,14]]=>0101000010100
[[1,2,4,7,8,9,10],[3,5,6,11,12,13,14]]=>0101000001000
[[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]]=>0101010010101
[[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]]=>0101010010010
[[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]=>0101010001001
[[1,2,4,6,9,10,12],[3,5,7,8,11,13,14]]=>0101010001010
[[1,2,4,6,9,10,11],[3,5,7,8,12,13,14]]=>0101010000100
[[1,2,4,6,8,11,13],[3,5,7,9,10,12,14]]=>0101010100101
[[1,2,4,6,8,11,12],[3,5,7,9,10,13,14]]=>0101010100010
[[1,2,4,6,8,10,13],[3,5,7,9,11,12,14]]=>0101010101001
[[1,2,4,6,8,10,12],[3,5,7,9,11,13,14]]=>0101010101010
[[1,2,4,6,8,10,11],[3,5,7,9,12,13,14]]=>0101010100100
[[1,2,4,6,8,9,13],[3,5,7,10,11,12,14]]=>0101010010001
[[1,2,4,6,8,9,12],[3,5,7,10,11,13,14]]=>0101010010010
[[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]]=>0101010010100
[[1,2,4,6,8,9,10],[3,5,7,11,12,13,14]]=>0101010001000
[[1,2,4,6,7,11,13],[3,5,8,9,10,12,14]]=>0101001000101
[[1,2,4,6,7,11,12],[3,5,8,9,10,13,14]]=>0101001000010
[[1,2,4,6,7,10,13],[3,5,8,9,11,12,14]]=>0101001001001
[[1,2,4,6,7,10,12],[3,5,8,9,11,13,14]]=>0101001001010
[[1,2,4,6,7,10,11],[3,5,8,9,12,13,14]]=>0101001000100
[[1,2,4,6,7,9,13],[3,5,8,10,11,12,14]]=>0101001010001
[[1,2,4,6,7,9,12],[3,5,8,10,11,13,14]]=>0101001010010
[[1,2,4,6,7,9,11],[3,5,8,10,12,13,14]]=>0101001010100
[[1,2,4,6,7,9,10],[3,5,8,11,12,13,14]]=>0101001001000
[[1,2,4,6,7,8,13],[3,5,9,10,11,12,14]]=>0101000100001
[[1,2,4,6,7,8,12],[3,5,9,10,11,13,14]]=>0101000100010
[[1,2,4,6,7,8,11],[3,5,9,10,12,13,14]]=>0101000100100
[[1,2,4,6,7,8,10],[3,5,9,11,12,13,14]]=>0101000101000
[[1,2,4,6,7,8,9],[3,5,10,11,12,13,14]]=>0101000010000
[[1,2,4,5,9,11,13],[3,6,7,8,10,12,14]]=>0100100010101
[[1,2,4,5,9,11,12],[3,6,7,8,10,13,14]]=>0100100010010
[[1,2,4,5,9,10,13],[3,6,7,8,11,12,14]]=>0100100001001
[[1,2,4,5,9,10,12],[3,6,7,8,11,13,14]]=>0100100001010
[[1,2,4,5,9,10,11],[3,6,7,8,12,13,14]]=>0100100000100
[[1,2,4,5,8,11,13],[3,6,7,9,10,12,14]]=>0100100100101
[[1,2,4,5,8,11,12],[3,6,7,9,10,13,14]]=>0100100100010
[[1,2,4,5,8,10,13],[3,6,7,9,11,12,14]]=>0100100101001
[[1,2,4,5,8,10,12],[3,6,7,9,11,13,14]]=>0100100101010
[[1,2,4,5,8,10,11],[3,6,7,9,12,13,14]]=>0100100100100
[[1,2,4,5,8,9,13],[3,6,7,10,11,12,14]]=>0100100010001
[[1,2,4,5,8,9,12],[3,6,7,10,11,13,14]]=>0100100010010
[[1,2,4,5,8,9,11],[3,6,7,10,12,13,14]]=>0100100010100
[[1,2,4,5,8,9,10],[3,6,7,11,12,13,14]]=>0100100001000
[[1,2,4,5,7,11,13],[3,6,8,9,10,12,14]]=>0100101000101
[[1,2,4,5,7,11,12],[3,6,8,9,10,13,14]]=>0100101000010
[[1,2,4,5,7,10,13],[3,6,8,9,11,12,14]]=>0100101001001
[[1,2,4,5,7,10,12],[3,6,8,9,11,13,14]]=>0100101001010
[[1,2,4,5,7,10,11],[3,6,8,9,12,13,14]]=>0100101000100
[[1,2,4,5,7,9,13],[3,6,8,10,11,12,14]]=>0100101010001
[[1,2,4,5,7,9,12],[3,6,8,10,11,13,14]]=>0100101010010
[[1,2,4,5,7,9,11],[3,6,8,10,12,13,14]]=>0100101010100
[[1,2,4,5,7,9,10],[3,6,8,11,12,13,14]]=>0100101001000
[[1,2,4,5,7,8,13],[3,6,9,10,11,12,14]]=>0100100100001
[[1,2,4,5,7,8,12],[3,6,9,10,11,13,14]]=>0100100100010
[[1,2,4,5,7,8,11],[3,6,9,10,12,13,14]]=>0100100100100
[[1,2,4,5,7,8,10],[3,6,9,11,12,13,14]]=>0100100101000
[[1,2,4,5,7,8,9],[3,6,10,11,12,13,14]]=>0100100010000
[[1,2,4,5,6,11,13],[3,7,8,9,10,12,14]]=>0100010000101
[[1,2,4,5,6,11,12],[3,7,8,9,10,13,14]]=>0100010000010
[[1,2,4,5,6,10,13],[3,7,8,9,11,12,14]]=>0100010001001
[[1,2,4,5,6,10,12],[3,7,8,9,11,13,14]]=>0100010001010
[[1,2,4,5,6,10,11],[3,7,8,9,12,13,14]]=>0100010000100
[[1,2,4,5,6,9,13],[3,7,8,10,11,12,14]]=>0100010010001
[[1,2,4,5,6,9,12],[3,7,8,10,11,13,14]]=>0100010010010
[[1,2,4,5,6,9,11],[3,7,8,10,12,13,14]]=>0100010010100
[[1,2,4,5,6,9,10],[3,7,8,11,12,13,14]]=>0100010001000
[[1,2,4,5,6,8,13],[3,7,9,10,11,12,14]]=>0100010100001
[[1,2,4,5,6,8,12],[3,7,9,10,11,13,14]]=>0100010100010
[[1,2,4,5,6,8,11],[3,7,9,10,12,13,14]]=>0100010100100
[[1,2,4,5,6,8,10],[3,7,9,11,12,13,14]]=>0100010101000
[[1,2,4,5,6,8,9],[3,7,10,11,12,13,14]]=>0100010010000
[[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]=>0100001000001
[[1,2,4,5,6,7,12],[3,8,9,10,11,13,14]]=>0100001000010
[[1,2,4,5,6,7,11],[3,8,9,10,12,13,14]]=>0100001000100
[[1,2,4,5,6,7,10],[3,8,9,11,12,13,14]]=>0100001001000
[[1,2,4,5,6,7,9],[3,8,10,11,12,13,14]]=>0100001010000
[[1,2,4,5,6,7,8],[3,9,10,11,12,13,14]]=>0100000100000
[[1,2,3,7,9,11,13],[4,5,6,8,10,12,14]]=>0010001010101
[[1,2,3,7,9,11,12],[4,5,6,8,10,13,14]]=>0010001010010
[[1,2,3,7,9,10,13],[4,5,6,8,11,12,14]]=>0010001001001
[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]]=>0010001001010
[[1,2,3,7,9,10,11],[4,5,6,8,12,13,14]]=>0010001000100
[[1,2,3,7,8,11,13],[4,5,6,9,10,12,14]]=>0010000100101
[[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]]=>0010000100010
[[1,2,3,7,8,10,13],[4,5,6,9,11,12,14]]=>0010000101001
[[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]]=>0010000101010
[[1,2,3,7,8,10,11],[4,5,6,9,12,13,14]]=>0010000100100
[[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]]=>0010000010001
[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]]=>0010000010010
[[1,2,3,7,8,9,11],[4,5,6,10,12,13,14]]=>0010000010100
[[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]]=>0010000001000
[[1,2,3,6,9,11,13],[4,5,7,8,10,12,14]]=>0010010010101
[[1,2,3,6,9,11,12],[4,5,7,8,10,13,14]]=>0010010010010
[[1,2,3,6,9,10,13],[4,5,7,8,11,12,14]]=>0010010001001
[[1,2,3,6,9,10,12],[4,5,7,8,11,13,14]]=>0010010001010
[[1,2,3,6,9,10,11],[4,5,7,8,12,13,14]]=>0010010000100
[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]]=>0010010100101
[[1,2,3,6,8,11,12],[4,5,7,9,10,13,14]]=>0010010100010
[[1,2,3,6,8,10,13],[4,5,7,9,11,12,14]]=>0010010101001
[[1,2,3,6,8,10,12],[4,5,7,9,11,13,14]]=>0010010101010
[[1,2,3,6,8,10,11],[4,5,7,9,12,13,14]]=>0010010100100
[[1,2,3,6,8,9,13],[4,5,7,10,11,12,14]]=>0010010010001
[[1,2,3,6,8,9,12],[4,5,7,10,11,13,14]]=>0010010010010
[[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]]=>0010010010100
[[1,2,3,6,8,9,10],[4,5,7,11,12,13,14]]=>0010010001000
[[1,2,3,6,7,11,13],[4,5,8,9,10,12,14]]=>0010001000101
[[1,2,3,6,7,11,12],[4,5,8,9,10,13,14]]=>0010001000010
[[1,2,3,6,7,10,13],[4,5,8,9,11,12,14]]=>0010001001001
[[1,2,3,6,7,10,12],[4,5,8,9,11,13,14]]=>0010001001010
[[1,2,3,6,7,10,11],[4,5,8,9,12,13,14]]=>0010001000100
[[1,2,3,6,7,9,13],[4,5,8,10,11,12,14]]=>0010001010001
[[1,2,3,6,7,9,12],[4,5,8,10,11,13,14]]=>0010001010010
[[1,2,3,6,7,9,11],[4,5,8,10,12,13,14]]=>0010001010100
[[1,2,3,6,7,9,10],[4,5,8,11,12,13,14]]=>0010001001000
[[1,2,3,6,7,8,13],[4,5,9,10,11,12,14]]=>0010000100001
[[1,2,3,6,7,8,12],[4,5,9,10,11,13,14]]=>0010000100010
[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]]=>0010000100100
[[1,2,3,6,7,8,10],[4,5,9,11,12,13,14]]=>0010000101000
[[1,2,3,6,7,8,9],[4,5,10,11,12,13,14]]=>0010000010000
[[1,2,3,5,9,11,13],[4,6,7,8,10,12,14]]=>0010100010101
[[1,2,3,5,9,11,12],[4,6,7,8,10,13,14]]=>0010100010010
[[1,2,3,5,9,10,13],[4,6,7,8,11,12,14]]=>0010100001001
[[1,2,3,5,9,10,12],[4,6,7,8,11,13,14]]=>0010100001010
[[1,2,3,5,9,10,11],[4,6,7,8,12,13,14]]=>0010100000100
[[1,2,3,5,8,11,13],[4,6,7,9,10,12,14]]=>0010100100101
[[1,2,3,5,8,11,12],[4,6,7,9,10,13,14]]=>0010100100010
[[1,2,3,5,8,10,13],[4,6,7,9,11,12,14]]=>0010100101001
[[1,2,3,5,8,10,12],[4,6,7,9,11,13,14]]=>0010100101010
[[1,2,3,5,8,10,11],[4,6,7,9,12,13,14]]=>0010100100100
[[1,2,3,5,8,9,13],[4,6,7,10,11,12,14]]=>0010100010001
[[1,2,3,5,8,9,12],[4,6,7,10,11,13,14]]=>0010100010010
[[1,2,3,5,8,9,11],[4,6,7,10,12,13,14]]=>0010100010100
[[1,2,3,5,8,9,10],[4,6,7,11,12,13,14]]=>0010100001000
[[1,2,3,5,7,11,13],[4,6,8,9,10,12,14]]=>0010101000101
[[1,2,3,5,7,11,12],[4,6,8,9,10,13,14]]=>0010101000010
[[1,2,3,5,7,10,13],[4,6,8,9,11,12,14]]=>0010101001001
[[1,2,3,5,7,10,12],[4,6,8,9,11,13,14]]=>0010101001010
[[1,2,3,5,7,10,11],[4,6,8,9,12,13,14]]=>0010101000100
[[1,2,3,5,7,9,13],[4,6,8,10,11,12,14]]=>0010101010001
[[1,2,3,5,7,9,12],[4,6,8,10,11,13,14]]=>0010101010010
[[1,2,3,5,7,9,11],[4,6,8,10,12,13,14]]=>0010101010100
[[1,2,3,5,7,9,10],[4,6,8,11,12,13,14]]=>0010101001000
[[1,2,3,5,7,8,13],[4,6,9,10,11,12,14]]=>0010100100001
[[1,2,3,5,7,8,12],[4,6,9,10,11,13,14]]=>0010100100010
[[1,2,3,5,7,8,11],[4,6,9,10,12,13,14]]=>0010100100100
[[1,2,3,5,7,8,10],[4,6,9,11,12,13,14]]=>0010100101000
[[1,2,3,5,7,8,9],[4,6,10,11,12,13,14]]=>0010100010000
[[1,2,3,5,6,11,13],[4,7,8,9,10,12,14]]=>0010010000101
[[1,2,3,5,6,11,12],[4,7,8,9,10,13,14]]=>0010010000010
[[1,2,3,5,6,10,13],[4,7,8,9,11,12,14]]=>0010010001001
[[1,2,3,5,6,10,12],[4,7,8,9,11,13,14]]=>0010010001010
[[1,2,3,5,6,10,11],[4,7,8,9,12,13,14]]=>0010010000100
[[1,2,3,5,6,9,13],[4,7,8,10,11,12,14]]=>0010010010001
[[1,2,3,5,6,9,12],[4,7,8,10,11,13,14]]=>0010010010010
[[1,2,3,5,6,9,11],[4,7,8,10,12,13,14]]=>0010010010100
[[1,2,3,5,6,9,10],[4,7,8,11,12,13,14]]=>0010010001000
[[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]=>0010010100001
[[1,2,3,5,6,8,12],[4,7,9,10,11,13,14]]=>0010010100010
[[1,2,3,5,6,8,11],[4,7,9,10,12,13,14]]=>0010010100100
[[1,2,3,5,6,8,10],[4,7,9,11,12,13,14]]=>0010010101000
[[1,2,3,5,6,8,9],[4,7,10,11,12,13,14]]=>0010010010000
[[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]=>0010001000001
[[1,2,3,5,6,7,12],[4,8,9,10,11,13,14]]=>0010001000010
[[1,2,3,5,6,7,11],[4,8,9,10,12,13,14]]=>0010001000100
[[1,2,3,5,6,7,10],[4,8,9,11,12,13,14]]=>0010001001000
[[1,2,3,5,6,7,9],[4,8,10,11,12,13,14]]=>0010001010000
[[1,2,3,5,6,7,8],[4,9,10,11,12,13,14]]=>0010000100000
[[1,2,3,4,9,11,13],[5,6,7,8,10,12,14]]=>0001000010101
[[1,2,3,4,9,11,12],[5,6,7,8,10,13,14]]=>0001000010010
[[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]]=>0001000001001
[[1,2,3,4,9,10,12],[5,6,7,8,11,13,14]]=>0001000001010
[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]]=>0001000000100
[[1,2,3,4,8,11,13],[5,6,7,9,10,12,14]]=>0001000100101
[[1,2,3,4,8,11,12],[5,6,7,9,10,13,14]]=>0001000100010
[[1,2,3,4,8,10,13],[5,6,7,9,11,12,14]]=>0001000101001
[[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]]=>0001000101010
[[1,2,3,4,8,10,11],[5,6,7,9,12,13,14]]=>0001000100100
[[1,2,3,4,8,9,13],[5,6,7,10,11,12,14]]=>0001000010001
[[1,2,3,4,8,9,12],[5,6,7,10,11,13,14]]=>0001000010010
[[1,2,3,4,8,9,11],[5,6,7,10,12,13,14]]=>0001000010100
[[1,2,3,4,8,9,10],[5,6,7,11,12,13,14]]=>0001000001000
[[1,2,3,4,7,11,13],[5,6,8,9,10,12,14]]=>0001001000101
[[1,2,3,4,7,11,12],[5,6,8,9,10,13,14]]=>0001001000010
[[1,2,3,4,7,10,13],[5,6,8,9,11,12,14]]=>0001001001001
[[1,2,3,4,7,10,12],[5,6,8,9,11,13,14]]=>0001001001010
[[1,2,3,4,7,10,11],[5,6,8,9,12,13,14]]=>0001001000100
[[1,2,3,4,7,9,13],[5,6,8,10,11,12,14]]=>0001001010001
[[1,2,3,4,7,9,12],[5,6,8,10,11,13,14]]=>0001001010010
[[1,2,3,4,7,9,11],[5,6,8,10,12,13,14]]=>0001001010100
[[1,2,3,4,7,9,10],[5,6,8,11,12,13,14]]=>0001001001000
[[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]=>0001000100001
[[1,2,3,4,7,8,12],[5,6,9,10,11,13,14]]=>0001000100010
[[1,2,3,4,7,8,11],[5,6,9,10,12,13,14]]=>0001000100100
[[1,2,3,4,7,8,10],[5,6,9,11,12,13,14]]=>0001000101000
[[1,2,3,4,7,8,9],[5,6,10,11,12,13,14]]=>0001000010000
[[1,2,3,4,6,11,13],[5,7,8,9,10,12,14]]=>0001010000101
[[1,2,3,4,6,11,12],[5,7,8,9,10,13,14]]=>0001010000010
[[1,2,3,4,6,10,13],[5,7,8,9,11,12,14]]=>0001010001001
[[1,2,3,4,6,10,12],[5,7,8,9,11,13,14]]=>0001010001010
[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]]=>0001010000100
[[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]=>0001010010001
[[1,2,3,4,6,9,12],[5,7,8,10,11,13,14]]=>0001010010010
[[1,2,3,4,6,9,11],[5,7,8,10,12,13,14]]=>0001010010100
[[1,2,3,4,6,9,10],[5,7,8,11,12,13,14]]=>0001010001000
[[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]=>0001010100001
[[1,2,3,4,6,8,12],[5,7,9,10,11,13,14]]=>0001010100010
[[1,2,3,4,6,8,11],[5,7,9,10,12,13,14]]=>0001010100100
[[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]]=>0001010101000
[[1,2,3,4,6,8,9],[5,7,10,11,12,13,14]]=>0001010010000
[[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]=>0001001000001
[[1,2,3,4,6,7,12],[5,8,9,10,11,13,14]]=>0001001000010
[[1,2,3,4,6,7,11],[5,8,9,10,12,13,14]]=>0001001000100
[[1,2,3,4,6,7,10],[5,8,9,11,12,13,14]]=>0001001001000
[[1,2,3,4,6,7,9],[5,8,10,11,12,13,14]]=>0001001010000
[[1,2,3,4,6,7,8],[5,9,10,11,12,13,14]]=>0001000100000
[[1,2,3,4,5,11,13],[6,7,8,9,10,12,14]]=>0000100000101
[[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]=>0000100000010
[[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]=>0000100001001
[[1,2,3,4,5,10,12],[6,7,8,9,11,13,14]]=>0000100001010
[[1,2,3,4,5,10,11],[6,7,8,9,12,13,14]]=>0000100000100
[[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]=>0000100010001
[[1,2,3,4,5,9,12],[6,7,8,10,11,13,14]]=>0000100010010
[[1,2,3,4,5,9,11],[6,7,8,10,12,13,14]]=>0000100010100
[[1,2,3,4,5,9,10],[6,7,8,11,12,13,14]]=>0000100001000
[[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]=>0000100100001
[[1,2,3,4,5,8,12],[6,7,9,10,11,13,14]]=>0000100100010
[[1,2,3,4,5,8,11],[6,7,9,10,12,13,14]]=>0000100100100
[[1,2,3,4,5,8,10],[6,7,9,11,12,13,14]]=>0000100101000
[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]]=>0000100010000
[[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]=>0000101000001
[[1,2,3,4,5,7,12],[6,8,9,10,11,13,14]]=>0000101000010
[[1,2,3,4,5,7,11],[6,8,9,10,12,13,14]]=>0000101000100
[[1,2,3,4,5,7,10],[6,8,9,11,12,13,14]]=>0000101001000
[[1,2,3,4,5,7,9],[6,8,10,11,12,13,14]]=>0000101010000
[[1,2,3,4,5,7,8],[6,9,10,11,12,13,14]]=>0000100100000
[[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]=>0000010000001
[[1,2,3,4,5,6,12],[7,8,9,10,11,13,14]]=>0000010000010
[[1,2,3,4,5,6,11],[7,8,9,10,12,13,14]]=>0000010000100
[[1,2,3,4,5,6,10],[7,8,9,11,12,13,14]]=>0000010001000
[[1,2,3,4,5,6,9],[7,8,10,11,12,13,14]]=>0000010010000
[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]]=>0000010100000
[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]]=>0000001000000
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]]=>0000100010010
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]]=>0000100010011
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]]=>0000100010101
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]]=>0000100100101
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]]=>0001000100101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]]=>0101010101010
[[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]=>0100100010000
[[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]=>1100100010000
[[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]=>1010100010000
[[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]=>1010010010000
[[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]=>1010010001000
[[1,6,10,13],[2,7,11,14],[3,8,12],[4,9],[5]]=>1111011101101
[[1,5,9,12,14],[2,6,10,13],[3,7,11],[4,8]]=>1110111011010
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,14]]=>1111101111110
[[1,2],[3,9],[4,10],[5,11],[6,12],[7,13],[8,14]]=>0111111011111
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12],[13,14]]=>1111010111110
[[1,2],[3,8],[4,10],[5,11],[6,12],[7,13],[9,14]]=>0111110101111
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12],[13,14]]=>1111011011110
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12],[13,14]]=>1110110111110
[[1,2],[3,8],[4,9],[5,11],[6,12],[7,13],[10,14]]=>0111110110111
[[1,2],[3,7],[4,10],[5,11],[6,12],[8,13],[9,14]]=>0111101101111
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12],[13,14]]=>1111011101110
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12],[13,14]]=>1110101011110
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12],[13,14]]=>1101110111110
[[1,2],[3,8],[4,9],[5,10],[6,12],[7,13],[11,14]]=>0111110111011
[[1,2],[3,7],[4,9],[5,11],[6,12],[8,13],[10,14]]=>0111101010111
[[1,2],[3,6],[4,10],[5,11],[7,12],[8,13],[9,14]]=>0111011101111
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12],[13,14]]=>1111011110110
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12],[13,14]]=>1110101101110
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12],[13,14]]=>1110111011110
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12],[13,14]]=>1101101011110
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12],[13,14]]=>1011110111110
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,13],[12,14]]=>1111011111101
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,13],[12,14]]=>0111110111101
[[1,2],[3,7],[4,9],[5,10],[6,12],[8,13],[11,14]]=>0111101011011
[[1,2],[3,7],[4,8],[5,11],[6,12],[9,13],[10,14]]=>0111101110111
[[1,2],[3,6],[4,9],[5,11],[7,12],[8,13],[10,14]]=>0111011010111
[[1,3],[2,4],[5,10],[6,11],[7,12],[8,13],[9,14]]=>1011111101111
[[1,2],[3,5],[4,10],[6,11],[7,12],[8,13],[9,14]]=>0110111101111
[[1,6,9,12,14],[2,7,10,13],[3,8,11],[4],[5]]=>1111011011010
[[1,6,10,12,14],[2,7,11,13],[3,8],[4,9],[5]]=>1111011101010
[[1,6,10,13,14],[2,7,11],[3,8,12],[4,9],[5]]=>1111011101100
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14]]=>1010101010101
[[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14]]=>1010101011011
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,13],[12,14]]=>1010101101101
[[1,3],[2,5],[4,7],[6,10],[8,12],[9,13],[11,14]]=>1010101101011
[[1,3],[2,5],[4,7],[6,11],[8,12],[9,13],[10,14]]=>1010101110111
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,13],[12,14]]=>1010110110101
[[1,3],[2,5],[4,8],[6,9],[7,12],[10,13],[11,14]]=>1010110111011
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,13],[12,14]]=>1010110101101
[[1,3],[2,5],[4,8],[6,10],[7,12],[9,13],[11,14]]=>1010110101011
[[1,3],[2,5],[4,8],[6,11],[7,12],[9,13],[10,14]]=>1010110110111
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,13],[12,14]]=>1010111011101
[[1,3],[2,5],[4,9],[6,10],[7,12],[8,13],[11,14]]=>1010111011011
[[1,3],[2,5],[4,9],[6,11],[7,12],[8,13],[10,14]]=>1010111010111
[[1,3],[2,5],[4,10],[6,11],[7,12],[8,13],[9,14]]=>1010111101111
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,13],[12,14]]=>1011011010101
[[1,3],[2,6],[4,7],[5,9],[8,12],[10,13],[11,14]]=>1011011011011
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,13],[12,14]]=>1011011101101
[[1,3],[2,6],[4,7],[5,10],[8,12],[9,13],[11,14]]=>1011011101011
[[1,3],[2,6],[4,7],[5,11],[8,12],[9,13],[10,14]]=>1011011110111
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,13],[12,14]]=>1011010110101
[[1,3],[2,6],[4,8],[5,9],[7,12],[10,13],[11,14]]=>1011010111011
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,13],[12,14]]=>1011010101101
[[1,3],[2,6],[4,8],[5,10],[7,12],[9,13],[11,14]]=>1011010101011
[[1,3],[2,6],[4,8],[5,11],[7,12],[9,13],[10,14]]=>1011010110111
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,13],[12,14]]=>1011011011101
[[1,3],[2,6],[4,9],[5,10],[7,12],[8,13],[11,14]]=>1011011011011
[[1,3],[2,6],[4,9],[5,11],[7,12],[8,13],[10,14]]=>1011011010111
[[1,3],[2,6],[4,10],[5,11],[7,12],[8,13],[9,14]]=>1011011101111
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,13],[12,14]]=>1011101110101
[[1,3],[2,7],[4,8],[5,9],[6,12],[10,13],[11,14]]=>1011101111011
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,13],[12,14]]=>1011101101101
[[1,3],[2,7],[4,8],[5,10],[6,12],[9,13],[11,14]]=>1011101101011
[[1,3],[2,7],[4,8],[5,11],[6,12],[9,13],[10,14]]=>1011101110111
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,13],[12,14]]=>1011101011101
[[1,3],[2,7],[4,9],[5,10],[6,12],[8,13],[11,14]]=>1011101011011
[[1,3],[2,7],[4,9],[5,11],[6,12],[8,13],[10,14]]=>1011101010111
[[1,3],[2,7],[4,10],[5,11],[6,12],[8,13],[9,14]]=>1011101101111
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,13],[12,14]]=>1011110111101
[[1,3],[2,8],[4,9],[5,10],[6,12],[7,13],[11,14]]=>1011110111011
[[1,3],[2,8],[4,9],[5,11],[6,12],[7,13],[10,14]]=>1011110110111
[[1,3],[2,8],[4,10],[5,11],[6,12],[7,13],[9,14]]=>1011110101111
[[1,3],[2,9],[4,10],[5,11],[6,12],[7,13],[8,14]]=>1011111011111
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,14]]=>1101101010101
[[1,4],[2,5],[3,7],[6,9],[8,12],[10,13],[11,14]]=>1101101011011
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,13],[12,14]]=>1101101101101
[[1,4],[2,5],[3,7],[6,10],[8,12],[9,13],[11,14]]=>1101101101011
[[1,4],[2,5],[3,7],[6,11],[8,12],[9,13],[10,14]]=>1101101110111
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,13],[12,14]]=>1101110110101
[[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,14]]=>1101110111011
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,13],[12,14]]=>1101110101101
[[1,4],[2,5],[3,8],[6,10],[7,12],[9,13],[11,14]]=>1101110101011
[[1,4],[2,5],[3,8],[6,11],[7,12],[9,13],[10,14]]=>1101110110111
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,13],[12,14]]=>1101111011101
[[1,4],[2,5],[3,9],[6,10],[7,12],[8,13],[11,14]]=>1101111011011
[[1,4],[2,5],[3,9],[6,11],[7,12],[8,13],[10,14]]=>1101111010111
[[1,4],[2,5],[3,10],[6,11],[7,12],[8,13],[9,14]]=>1101111101111
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,14]]=>1101011010101
[[1,4],[2,6],[3,7],[5,9],[8,12],[10,13],[11,14]]=>1101011011011
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,13],[12,14]]=>1101011101101
[[1,4],[2,6],[3,7],[5,10],[8,12],[9,13],[11,14]]=>1101011101011
[[1,4],[2,6],[3,7],[5,11],[8,12],[9,13],[10,14]]=>1101011110111
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,13],[12,14]]=>1101010110101
[[1,4],[2,6],[3,8],[5,9],[7,12],[10,13],[11,14]]=>1101010111011
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,13],[12,14]]=>1101010101101
[[1,4],[2,6],[3,8],[5,10],[7,12],[9,13],[11,14]]=>1101010101011
[[1,4],[2,6],[3,8],[5,11],[7,12],[9,13],[10,14]]=>1101010110111
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,13],[12,14]]=>1101011011101
[[1,4],[2,6],[3,9],[5,10],[7,12],[8,13],[11,14]]=>1101011011011
[[1,4],[2,6],[3,9],[5,11],[7,12],[8,13],[10,14]]=>1101011010111
[[1,4],[2,6],[3,10],[5,11],[7,12],[8,13],[9,14]]=>1101011101111
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,13],[12,14]]=>1101101110101
[[1,4],[2,7],[3,8],[5,9],[6,12],[10,13],[11,14]]=>1101101111011
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,13],[12,14]]=>1101101101101
[[1,4],[2,7],[3,8],[5,10],[6,12],[9,13],[11,14]]=>1101101101011
[[1,4],[2,7],[3,8],[5,11],[6,12],[9,13],[10,14]]=>1101101110111
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,13],[12,14]]=>1101101011101
[[1,4],[2,7],[3,9],[5,10],[6,12],[8,13],[11,14]]=>1101101011011
[[1,4],[2,7],[3,9],[5,11],[6,12],[8,13],[10,14]]=>1101101010111
[[1,4],[2,7],[3,10],[5,11],[6,12],[8,13],[9,14]]=>1101101101111
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,13],[12,14]]=>1101110111101
[[1,4],[2,8],[3,9],[5,10],[6,12],[7,13],[11,14]]=>1101110111011
[[1,4],[2,8],[3,9],[5,11],[6,12],[7,13],[10,14]]=>1101110110111
[[1,4],[2,8],[3,10],[5,11],[6,12],[7,13],[9,14]]=>1101110101111
[[1,4],[2,9],[3,10],[5,11],[6,12],[7,13],[8,14]]=>1101111011111
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,14]]=>1110111010101
[[1,5],[2,6],[3,7],[4,9],[8,12],[10,13],[11,14]]=>1110111011011
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,13],[12,14]]=>1110111101101
[[1,5],[2,6],[3,7],[4,10],[8,12],[9,13],[11,14]]=>1110111101011
[[1,5],[2,6],[3,7],[4,11],[8,12],[9,13],[10,14]]=>1110111110111
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,13],[12,14]]=>1110110110101
[[1,5],[2,6],[3,8],[4,9],[7,12],[10,13],[11,14]]=>1110110111011
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,13],[12,14]]=>1110110101101
[[1,5],[2,6],[3,8],[4,10],[7,12],[9,13],[11,14]]=>1110110101011
[[1,5],[2,6],[3,8],[4,11],[7,12],[9,13],[10,14]]=>1110110110111
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,13],[12,14]]=>1110111011101
[[1,5],[2,6],[3,9],[4,10],[7,12],[8,13],[11,14]]=>1110111011011
[[1,5],[2,6],[3,9],[4,11],[7,12],[8,13],[10,14]]=>1110111010111
[[1,5],[2,6],[3,10],[4,11],[7,12],[8,13],[9,14]]=>1110111101111
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,13],[12,14]]=>1110101110101
[[1,5],[2,7],[3,8],[4,9],[6,12],[10,13],[11,14]]=>1110101111011
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,13],[12,14]]=>1110101101101
[[1,5],[2,7],[3,8],[4,10],[6,12],[9,13],[11,14]]=>1110101101011
[[1,5],[2,7],[3,8],[4,11],[6,12],[9,13],[10,14]]=>1110101110111
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,13],[12,14]]=>1110101011101
[[1,5],[2,7],[3,9],[4,10],[6,12],[8,13],[11,14]]=>1110101011011
[[1,5],[2,7],[3,9],[4,11],[6,12],[8,13],[10,14]]=>1110101010111
[[1,5],[2,7],[3,10],[4,11],[6,12],[8,13],[9,14]]=>1110101101111
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,13],[12,14]]=>1110110111101
[[1,5],[2,8],[3,9],[4,10],[6,12],[7,13],[11,14]]=>1110110111011
[[1,5],[2,8],[3,9],[4,11],[6,12],[7,13],[10,14]]=>1110110110111
[[1,5],[2,8],[3,10],[4,11],[6,12],[7,13],[9,14]]=>1110110101111
[[1,5],[2,9],[3,10],[4,11],[6,12],[7,13],[8,14]]=>1110111011111
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,13],[12,14]]=>1111011110101
[[1,6],[2,7],[3,8],[4,9],[5,12],[10,13],[11,14]]=>1111011111011
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,13],[12,14]]=>1111011101101
[[1,6],[2,7],[3,8],[4,10],[5,12],[9,13],[11,14]]=>1111011101011
[[1,6],[2,7],[3,8],[4,11],[5,12],[9,13],[10,14]]=>1111011110111
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,13],[12,14]]=>1111011011101
[[1,6],[2,7],[3,9],[4,10],[5,12],[8,13],[11,14]]=>1111011011011
[[1,6],[2,7],[3,9],[4,11],[5,12],[8,13],[10,14]]=>1111011010111
[[1,6],[2,7],[3,10],[4,11],[5,12],[8,13],[9,14]]=>1111011101111
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,13],[12,14]]=>1111010111101
[[1,6],[2,8],[3,9],[4,10],[5,12],[7,13],[11,14]]=>1111010111011
[[1,6],[2,8],[3,9],[4,11],[5,12],[7,13],[10,14]]=>1111010110111
[[1,6],[2,8],[3,10],[4,11],[5,12],[7,13],[9,14]]=>1111010101111
[[1,6],[2,9],[3,10],[4,11],[5,12],[7,13],[8,14]]=>1111011011111
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,13],[12,14]]=>1111101111101
[[1,7],[2,8],[3,9],[4,10],[5,12],[6,13],[11,14]]=>1111101111011
[[1,7],[2,8],[3,9],[4,11],[5,12],[6,13],[10,14]]=>1111101110111
[[1,7],[2,8],[3,10],[4,11],[5,12],[6,13],[9,14]]=>1111101101111
[[1,7],[2,9],[3,10],[4,11],[5,12],[6,13],[8,14]]=>1111101011111
[[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14]]=>1111110111111
[[1,3,6,10],[2,4,7,11],[5,8,12],[9,13],[14]]=>1011011101111
[[1,2,4,7,11],[3,5,8,12],[6,9,13],[10,14]]=>0101101110111
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,14]]=>0101010101101
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,14]]=>0101010110101
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,14]]=>0101011010101
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,14]]=>0101101010101
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,14]]=>0110101010101
[[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,14]]=>0101010111011
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,14]]=>0101011101101
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,14]]=>0101110110101
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,14]]=>0111011010101
[[1,2],[3,4],[5,6],[7,10],[8,12],[9,13],[11,14]]=>0101011101011
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,13],[12,14]]=>0101110101101
[[1,2],[3,4],[5,6],[7,11],[8,12],[9,13],[10,14]]=>0101011110111
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,13],[12,14]]=>0111010110101
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,13],[12,14]]=>0101111011101
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,13],[12,14]]=>0111101110101
[[1,2],[3,4],[5,8],[6,10],[7,12],[9,13],[11,14]]=>0101110101011
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,13],[12,14]]=>0111010101101
[[1,2],[3,4],[5,8],[6,11],[7,12],[9,13],[10,14]]=>0101110110111
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,13],[12,14]]=>0111011011101
[[1,2],[3,4],[5,9],[6,11],[7,12],[8,13],[10,14]]=>0101111010111
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,13],[12,14]]=>0111101011101
[[1,2,4,7,10],[3,5,8,11],[6,9,12],[13],[14]]=>0101101101111
[[1,2,4,6,10],[3,5,7,11],[8,12],[9,13],[14]]=>0101011101111
[[1,2,3,6,10],[4,7,11],[5,8,12],[9,13],[14]]=>0011011101111
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14]]=>1011010101010
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14]]=>1101110101010
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,14]]=>1110111101010
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14]]=>1010110101010
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14]]=>1010101101010
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14]]=>1010101011010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14]]=>1010101010110
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14]]=>1011011101010
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14]]=>1010110111010
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14]]=>1010101101110
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12],[13,14]]=>1101011101010
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12],[13,14]]=>1011010111010
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12],[13,14]]=>1010110101110
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12],[13,14]]=>1011101111010
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12],[13,14]]=>1010111011110
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12],[13,14]]=>1101010111010
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12],[13,14]]=>1011010101110
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12],[13,14]]=>1110110111010
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12],[13,14]]=>1011101101110
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12],[13,14]]=>1110101111010
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12],[13,14]]=>1011101011110
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]]=>00001000100101
[[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]=>10100100010000
[[1,6,10,13,15],[2,7,11,14],[3,8,12],[4,9],[5]]=>11110111011010
[[1,2,4,7,11],[3,5,8,12],[6,9,13],[10,14],[15]]=>01011011101111
[[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]]=>101010101010101
[[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]]=>101010101010010
[[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]]=>101010101001010
[[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]]=>101010101000100
[[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]=>101010100100101
[[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]]=>101010100100010
[[1,3,5,7,9,10,12,15],[2,4,6,8,11,13,14,16]]=>101010100101001
[[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]]=>101010100101010
[[1,3,5,7,9,10,12,13],[2,4,6,8,11,14,15,16]]=>101010100100100
[[1,3,5,7,9,10,11,15],[2,4,6,8,12,13,14,16]]=>101010100010001
[[1,3,5,7,9,10,11,14],[2,4,6,8,12,13,15,16]]=>101010100010010
[[1,3,5,7,9,10,11,13],[2,4,6,8,12,14,15,16]]=>101010100010100
[[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]]=>101010100001000
[[1,3,5,7,8,11,13,14],[2,4,6,9,10,12,15,16]]=>101010010010010
[[1,3,5,7,8,10,12,14],[2,4,6,9,11,13,15,16]]=>101010010101010
[[1,3,5,7,8,9,12,14],[2,4,6,10,11,13,15,16]]=>101010001001010
[[1,3,5,7,8,9,11,14],[2,4,6,10,12,13,15,16]]=>101010001010010
[[1,3,5,7,8,9,10,14],[2,4,6,11,12,13,15,16]]=>101010000100010
[[1,3,5,7,8,9,10,11],[2,4,6,12,13,14,15,16]]=>101010000010000
[[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]=>101001001010010
[[1,3,5,6,9,11,12,14],[2,4,7,8,10,13,15,16]]=>101001001001010
[[1,3,5,6,9,10,12,14],[2,4,7,8,11,13,15,16]]=>101001000101010
[[1,3,5,6,8,10,12,14],[2,4,7,9,11,13,15,16]]=>101001010101010
[[1,3,5,6,8,10,12,13],[2,4,7,9,11,14,15,16]]=>101001010100100
[[1,3,5,6,7,11,13,15],[2,4,8,9,10,12,14,16]]=>101000100010101
[[1,3,5,6,7,10,12,14],[2,4,8,9,11,13,15,16]]=>101000100101010
[[1,3,5,6,7,9,12,14],[2,4,8,10,11,13,15,16]]=>101000101001010
[[1,3,5,6,7,9,11,14],[2,4,8,10,12,13,15,16]]=>101000101010010
[[1,3,5,6,7,8,12,14],[2,4,9,10,11,13,15,16]]=>101000010001010
[[1,3,5,6,7,8,10,12],[2,4,9,11,13,14,15,16]]=>101000010101000
[[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]]=>101000001000001
[[1,3,5,6,7,8,9,12],[2,4,10,11,13,14,15,16]]=>101000001001000
[[1,3,5,6,7,8,9,11],[2,4,10,12,13,14,15,16]]=>101000001010000
[[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]]=>101000000100000
[[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]=>100100101010010
[[1,3,4,7,9,11,12,14],[2,5,6,8,10,13,15,16]]=>100100101001010
[[1,3,4,6,9,11,13,14],[2,5,7,8,10,12,15,16]]=>100101001010010
[[1,3,4,6,9,11,12,14],[2,5,7,8,10,13,15,16]]=>100101001001010
[[1,3,4,6,9,10,11,12],[2,5,7,8,13,14,15,16]]=>100101000001000
[[1,3,4,6,8,10,12,14],[2,5,7,9,11,13,15,16]]=>100101010101010
[[1,3,4,6,8,10,12,13],[2,5,7,9,11,14,15,16]]=>100101010100100
[[1,3,4,5,9,11,13,15],[2,6,7,8,10,12,14,16]]=>100010001010101
[[1,3,4,5,9,11,12,14],[2,6,7,8,10,13,15,16]]=>100010001001010
[[1,3,4,5,8,10,12,14],[2,6,7,9,11,13,15,16]]=>100010010101010
[[1,3,4,5,7,11,13,15],[2,6,8,9,10,12,14,16]]=>100010100010101
[[1,3,4,5,7,11,12,13],[2,6,8,9,10,14,15,16]]=>100010100000100
[[1,3,4,5,7,10,12,15],[2,6,8,9,11,13,14,16]]=>100010100101001
[[1,3,4,5,7,10,12,14],[2,6,8,9,11,13,15,16]]=>100010100101010
[[1,3,4,5,7,9,13,15],[2,6,8,10,11,12,14,16]]=>100010101000101
[[1,3,4,5,7,9,11,15],[2,6,8,10,12,13,14,16]]=>100010101010001
[[1,3,4,5,7,9,11,14],[2,6,8,10,12,13,15,16]]=>100010101010010
[[1,3,4,5,7,9,11,13],[2,6,8,10,12,14,15,16]]=>100010101010100
[[1,3,4,5,6,10,12,14],[2,7,8,9,11,13,15,16]]=>100001000101010
[[1,3,4,5,6,9,11,13],[2,7,8,10,12,14,15,16]]=>100001001010100
[[1,3,4,5,6,8,13,14],[2,7,9,10,11,12,15,16]]=>100001010000010
[[1,3,4,5,6,8,11,13],[2,7,9,10,12,14,15,16]]=>100001010010100
[[1,3,4,5,6,8,10,14],[2,7,9,11,12,13,15,16]]=>100001010100010
[[1,3,4,5,6,8,10,12],[2,7,9,11,13,14,15,16]]=>100001010101000
[[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]=>100001000100000
[[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]]=>100000100000101
[[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]]=>100000100000010
[[1,3,4,5,6,7,11,13],[2,8,9,10,12,14,15,16]]=>100000100010100
[[1,3,4,5,6,7,10,12],[2,8,9,11,13,14,15,16]]=>100000100101000
[[1,3,4,5,6,7,9,15],[2,8,10,11,12,13,14,16]]=>100000101000001
[[1,3,4,5,6,7,9,12],[2,8,10,11,13,14,15,16]]=>100000101001000
[[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]=>100000101010000
[[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]=>100000100100000
[[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]]=>100000010000001
[[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]=>100000010001000
[[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]=>100000010010000
[[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]=>100000010100000
[[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]=>100000001000000
[[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]=>010010101010101
[[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]=>010010101010010
[[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]=>010010101001001
[[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]]=>010010101001010
[[1,2,5,7,9,11,12,13],[3,4,6,8,10,14,15,16]]=>010010101000100
[[1,2,5,7,9,10,13,15],[3,4,6,8,11,12,14,16]]=>010010100100101
[[1,2,5,7,9,10,12,14],[3,4,6,8,11,13,15,16]]=>010010100101010
[[1,2,5,7,8,10,12,14],[3,4,6,9,11,13,15,16]]=>010010010101010
[[1,2,5,7,8,9,11,13],[3,4,6,10,12,14,15,16]]=>010010001010100
[[1,2,5,7,8,9,10,12],[3,4,6,11,13,14,15,16]]=>010010000101000
[[1,2,5,7,8,9,10,11],[3,4,6,12,13,14,15,16]]=>010010000010000
[[1,2,5,6,8,10,12,14],[3,4,7,9,11,13,15,16]]=>010001010101010
[[1,2,5,6,8,10,11,12],[3,4,7,9,13,14,15,16]]=>010001010001000
[[1,2,5,6,8,9,10,11],[3,4,7,12,13,14,15,16]]=>010001000010000
[[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]]=>010000100010101
[[1,2,5,6,7,10,12,14],[3,4,8,9,11,13,15,16]]=>010000100101010
[[1,2,5,6,7,9,11,13],[3,4,8,10,12,14,15,16]]=>010000101010100
[[1,2,5,6,7,8,10,12],[3,4,9,11,13,14,15,16]]=>010000010101000
[[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]]=>010000001000001
[[1,2,5,6,7,8,9,14],[3,4,10,11,12,13,15,16]]=>010000001000010
[[1,2,5,6,7,8,9,11],[3,4,10,12,13,14,15,16]]=>010000001010000
[[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]]=>010000000100000
[[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]=>010100101010101
[[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]=>010100101010010
[[1,2,4,7,9,11,12,14],[3,5,6,8,10,13,15,16]]=>010100101001010
[[1,2,4,7,9,10,11,12],[3,5,6,8,13,14,15,16]]=>010100100001000
[[1,2,4,7,8,9,10,12],[3,5,6,11,13,14,15,16]]=>010100000101000
[[1,2,4,7,8,9,10,11],[3,5,6,12,13,14,15,16]]=>010100000010000
[[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]=>010101001010101
[[1,2,4,6,9,11,12,13],[3,5,7,8,10,14,15,16]]=>010101001000100
[[1,2,4,6,9,10,11,12],[3,5,7,8,13,14,15,16]]=>010101000001000
[[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]]=>010101010010101
[[1,2,4,6,8,11,13,14],[3,5,7,9,10,12,15,16]]=>010101010010010
[[1,2,4,6,8,11,12,13],[3,5,7,9,10,14,15,16]]=>010101010000100
[[1,2,4,6,8,10,13,15],[3,5,7,9,11,12,14,16]]=>010101010100101
[[1,2,4,6,8,10,13,14],[3,5,7,9,11,12,15,16]]=>010101010100010
[[1,2,4,6,8,10,12,15],[3,5,7,9,11,13,14,16]]=>010101010101001
[[1,2,4,6,8,10,12,14],[3,5,7,9,11,13,15,16]]=>010101010101010
[[1,2,4,6,8,10,12,13],[3,5,7,9,11,14,15,16]]=>010101010100100
[[1,2,4,6,8,10,11,15],[3,5,7,9,12,13,14,16]]=>010101010010001
[[1,2,4,6,8,10,11,14],[3,5,7,9,12,13,15,16]]=>010101010010010
[[1,2,4,6,8,10,11,13],[3,5,7,9,12,14,15,16]]=>010101010010100
[[1,2,4,6,8,10,11,12],[3,5,7,9,13,14,15,16]]=>010101010001000
[[1,2,4,6,8,9,13,15],[3,5,7,10,11,12,14,16]]=>010101001000101
[[1,2,4,6,8,9,12,14],[3,5,7,10,11,13,15,16]]=>010101001001010
[[1,2,4,6,8,9,11,15],[3,5,7,10,12,13,14,16]]=>010101001010001
[[1,2,4,6,8,9,11,13],[3,5,7,10,12,14,15,16]]=>010101001010100
[[1,2,4,6,8,9,11,12],[3,5,7,10,13,14,15,16]]=>010101001001000
[[1,2,4,6,8,9,10,15],[3,5,7,11,12,13,14,16]]=>010101000100001
[[1,2,4,6,8,9,10,12],[3,5,7,11,13,14,15,16]]=>010101000101000
[[1,2,4,6,7,11,13,15],[3,5,8,9,10,12,14,16]]=>010100100010101
[[1,2,4,6,7,10,12,14],[3,5,8,9,11,13,15,16]]=>010100100101010
[[1,2,4,6,7,9,13,15],[3,5,8,10,11,12,14,16]]=>010100101000101
[[1,2,4,6,7,9,10,12],[3,5,8,11,13,14,15,16]]=>010100100101000
[[1,2,4,6,7,8,13,15],[3,5,9,10,11,12,14,16]]=>010100010000101
[[1,2,4,6,7,8,10,12],[3,5,9,11,13,14,15,16]]=>010100010101000
[[1,2,4,6,7,8,9,15],[3,5,10,11,12,13,14,16]]=>010100001000001
[[1,2,4,5,9,11,13,15],[3,6,7,8,10,12,14,16]]=>010010001010101
[[1,2,4,5,8,10,12,14],[3,6,7,9,11,13,15,16]]=>010010010101010
[[1,2,4,5,7,11,13,15],[3,6,8,9,10,12,14,16]]=>010010100010101
[[1,2,4,5,7,10,12,14],[3,6,8,9,11,13,15,16]]=>010010100101010
[[1,2,4,5,7,9,13,15],[3,6,8,10,11,12,14,16]]=>010010101000101
[[1,2,4,5,7,9,11,15],[3,6,8,10,12,13,14,16]]=>010010101010001
[[1,2,4,5,7,9,11,13],[3,6,8,10,12,14,15,16]]=>010010101010100
[[1,2,4,5,7,9,11,12],[3,6,8,10,13,14,15,16]]=>010010101001000
[[1,2,4,5,7,8,10,12],[3,6,9,11,13,14,15,16]]=>010010010101000
[[1,2,4,5,6,11,13,15],[3,7,8,9,10,12,14,16]]=>010001000010101
[[1,2,4,5,6,8,10,12],[3,7,9,11,13,14,15,16]]=>010001010101000
[[1,2,4,5,6,7,13,14],[3,8,9,10,11,12,15,16]]=>010000100000010
[[1,2,4,5,6,7,12,14],[3,8,9,10,11,13,15,16]]=>010000100001010
[[1,2,4,5,6,7,12,13],[3,8,9,10,11,14,15,16]]=>010000100000100
[[1,2,4,5,6,7,9,11],[3,8,10,12,13,14,15,16]]=>010000101010000
[[1,2,4,5,6,7,8,15],[3,9,10,11,12,13,14,16]]=>010000010000001
[[1,2,4,5,6,7,8,14],[3,9,10,11,12,13,15,16]]=>010000010000010
[[1,2,4,5,6,7,8,11],[3,9,10,12,13,14,15,16]]=>010000010010000
[[1,2,4,5,6,7,8,10],[3,9,11,12,13,14,15,16]]=>010000010100000
[[1,2,4,5,6,7,8,9],[3,10,11,12,13,14,15,16]]=>010000001000000
[[1,2,3,7,9,11,13,15],[4,5,6,8,10,12,14,16]]=>001000101010101
[[1,2,3,7,9,11,13,14],[4,5,6,8,10,12,15,16]]=>001000101010010
[[1,2,3,7,9,11,12,14],[4,5,6,8,10,13,15,16]]=>001000101001010
[[1,2,3,7,9,10,11,13],[4,5,6,8,12,14,15,16]]=>001000100010100
[[1,2,3,7,8,9,11,13],[4,5,6,10,12,14,15,16]]=>001000001010100
[[1,2,3,7,8,9,11,12],[4,5,6,10,13,14,15,16]]=>001000001001000
[[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]]=>001000000100001
[[1,2,3,7,8,9,10,12],[4,5,6,11,13,14,15,16]]=>001000000101000
[[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]]=>001000000010000
[[1,2,3,6,9,11,13,15],[4,5,7,8,10,12,14,16]]=>001001001010101
[[1,2,3,6,9,10,11,12],[4,5,7,8,13,14,15,16]]=>001001000001000
[[1,2,3,6,8,11,13,15],[4,5,7,9,10,12,14,16]]=>001001010010101
[[1,2,3,6,8,10,13,15],[4,5,7,9,11,12,14,16]]=>001001010100101
[[1,2,3,6,8,10,12,15],[4,5,7,9,11,13,14,16]]=>001001010101001
[[1,2,3,6,8,10,12,14],[4,5,7,9,11,13,15,16]]=>001001010101010
[[1,2,3,6,7,10,12,14],[4,5,8,9,11,13,15,16]]=>001000100101010
[[1,2,3,6,7,9,11,13],[4,5,8,10,12,14,15,16]]=>001000101010100
[[1,2,3,6,7,8,9,11],[4,5,10,12,13,14,15,16]]=>001000001010000
[[1,2,3,5,9,11,13,15],[4,6,7,8,10,12,14,16]]=>001010001010101
[[1,2,3,5,9,10,11,12],[4,6,7,8,13,14,15,16]]=>001010000001000
[[1,2,3,5,8,10,12,15],[4,6,7,9,11,13,14,16]]=>001010010101001
[[1,2,3,5,8,10,12,14],[4,6,7,9,11,13,15,16]]=>001010010101010
[[1,2,3,5,7,11,13,15],[4,6,8,9,10,12,14,16]]=>001010100010101
[[1,2,3,5,7,11,13,14],[4,6,8,9,10,12,15,16]]=>001010100010010
[[1,2,3,5,7,10,13,15],[4,6,8,9,11,12,14,16]]=>001010100100101
[[1,2,3,5,7,10,13,14],[4,6,8,9,11,12,15,16]]=>001010100100010
[[1,2,3,5,7,10,12,15],[4,6,8,9,11,13,14,16]]=>001010100101001
[[1,2,3,5,7,10,12,14],[4,6,8,9,11,13,15,16]]=>001010100101010
[[1,2,3,5,7,9,13,15],[4,6,8,10,11,12,14,16]]=>001010101000101
[[1,2,3,5,7,9,13,14],[4,6,8,10,11,12,15,16]]=>001010101000010
[[1,2,3,5,7,9,12,13],[4,6,8,10,11,14,15,16]]=>001010101000100
[[1,2,3,5,7,9,11,15],[4,6,8,10,12,13,14,16]]=>001010101010001
[[1,2,3,5,7,9,11,14],[4,6,8,10,12,13,15,16]]=>001010101010010
[[1,2,3,5,7,9,11,13],[4,6,8,10,12,14,15,16]]=>001010101010100
[[1,2,3,5,7,9,11,12],[4,6,8,10,13,14,15,16]]=>001010101001000
[[1,2,3,5,7,8,13,14],[4,6,9,10,11,12,15,16]]=>001010010000010
[[1,2,3,5,6,8,10,12],[4,7,9,11,13,14,15,16]]=>001001010101000
[[1,2,3,5,6,8,10,11],[4,7,9,12,13,14,15,16]]=>001001010010000
[[1,2,3,5,6,7,13,14],[4,8,9,10,11,12,15,16]]=>001000100000010
[[1,2,3,5,6,7,11,13],[4,8,9,10,12,14,15,16]]=>001000100010100
[[1,2,3,5,6,7,11,12],[4,8,9,10,13,14,15,16]]=>001000100001000
[[1,2,3,5,6,7,9,10],[4,8,11,12,13,14,15,16]]=>001000100100000
[[1,2,3,5,6,7,8,13],[4,9,10,11,12,14,15,16]]=>001000010000100
[[1,2,3,5,6,7,8,11],[4,9,10,12,13,14,15,16]]=>001000010010000
[[1,2,3,5,6,7,8,10],[4,9,11,12,13,14,15,16]]=>001000010100000
[[1,2,3,5,6,7,8,9],[4,10,11,12,13,14,15,16]]=>001000001000000
[[1,2,3,4,9,11,13,15],[5,6,7,8,10,12,14,16]]=>000100001010101
[[1,2,3,4,9,11,12,14],[5,6,7,8,10,13,15,16]]=>000100001001010
[[1,2,3,4,9,10,11,13],[5,6,7,8,12,14,15,16]]=>000100000010100
[[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]]=>000100000001000
[[1,2,3,4,8,11,13,15],[5,6,7,9,10,12,14,16]]=>000100010010101
[[1,2,3,4,8,10,13,15],[5,6,7,9,11,12,14,16]]=>000100010100101
[[1,2,3,4,8,10,12,15],[5,6,7,9,11,13,14,16]]=>000100010101001
[[1,2,3,4,8,10,12,14],[5,6,7,9,11,13,15,16]]=>000100010101010
[[1,2,3,4,8,9,10,12],[5,6,7,11,13,14,15,16]]=>000100000101000
[[1,2,3,4,7,11,13,15],[5,6,8,9,10,12,14,16]]=>000100100010101
[[1,2,3,4,7,11,12,13],[5,6,8,9,10,14,15,16]]=>000100100000100
[[1,2,3,4,7,9,11,14],[5,6,8,10,12,13,15,16]]=>000100101010010
[[1,2,3,4,7,9,11,13],[5,6,8,10,12,14,15,16]]=>000100101010100
[[1,2,3,4,7,8,10,12],[5,6,9,11,13,14,15,16]]=>000100010101000
[[1,2,3,4,7,8,9,11],[5,6,10,12,13,14,15,16]]=>000100001010000
[[1,2,3,4,6,11,12,13],[5,7,8,9,10,14,15,16]]=>000101000000100
[[1,2,3,4,6,10,12,14],[5,7,8,9,11,13,15,16]]=>000101000101010
[[1,2,3,4,6,8,12,14],[5,7,9,10,11,13,15,16]]=>000101010001010
[[1,2,3,4,6,8,11,12],[5,7,9,10,13,14,15,16]]=>000101010001000
[[1,2,3,4,6,8,10,14],[5,7,9,11,12,13,15,16]]=>000101010100010
[[1,2,3,4,6,8,10,12],[5,7,9,11,13,14,15,16]]=>000101010101000
[[1,2,3,4,6,8,10,11],[5,7,9,12,13,14,15,16]]=>000101010010000
[[1,2,3,4,6,7,10,12],[5,8,9,11,13,14,15,16]]=>000100100101000
[[1,2,3,4,6,7,10,11],[5,8,9,12,13,14,15,16]]=>000100100010000
[[1,2,3,4,6,7,9,10],[5,8,11,12,13,14,15,16]]=>000100100100000
[[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]]=>000100010000001
[[1,2,3,4,6,7,8,14],[5,9,10,11,12,13,15,16]]=>000100010000010
[[1,2,3,4,6,7,8,12],[5,9,10,11,13,14,15,16]]=>000100010001000
[[1,2,3,4,6,7,8,9],[5,10,11,12,13,14,15,16]]=>000100001000000
[[1,2,3,4,5,11,13,15],[6,7,8,9,10,12,14,16]]=>000010000010101
[[1,2,3,4,5,11,12,14],[6,7,8,9,10,13,15,16]]=>000010000001010
[[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]]=>000010000000100
[[1,2,3,4,5,10,13,15],[6,7,8,9,11,12,14,16]]=>000010000100101
[[1,2,3,4,5,10,12,15],[6,7,8,9,11,13,14,16]]=>000010000101001
[[1,2,3,4,5,10,11,13],[6,7,8,9,12,14,15,16]]=>000010000010100
[[1,2,3,4,5,9,13,15],[6,7,8,10,11,12,14,16]]=>000010001000101
[[1,2,3,4,5,8,13,14],[6,7,9,10,11,12,15,16]]=>000010010000010
[[1,2,3,4,5,8,10,13],[6,7,9,11,12,14,15,16]]=>000010010100100
[[1,2,3,4,5,8,10,12],[6,7,9,11,13,14,15,16]]=>000010010101000
[[1,2,3,4,5,8,9,11],[6,7,10,12,13,14,15,16]]=>000010001010000
[[1,2,3,4,5,7,13,14],[6,8,9,10,11,12,15,16]]=>000010100000010
[[1,2,3,4,5,7,11,12],[6,8,9,10,13,14,15,16]]=>000010100001000
[[1,2,3,4,5,7,10,12],[6,8,9,11,13,14,15,16]]=>000010100101000
[[1,2,3,4,5,7,10,11],[6,8,9,12,13,14,15,16]]=>000010100010000
[[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]=>000010101000001
[[1,2,3,4,5,7,9,14],[6,8,10,11,12,13,15,16]]=>000010101000010
[[1,2,3,4,5,7,9,11],[6,8,10,12,13,14,15,16]]=>000010101010000
[[1,2,3,4,5,7,9,10],[6,8,11,12,13,14,15,16]]=>000010100100000
[[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]=>000010010000001
[[1,2,3,4,5,7,8,14],[6,9,10,11,12,13,15,16]]=>000010010000010
[[1,2,3,4,5,7,8,11],[6,9,10,12,13,14,15,16]]=>000010010010000
[[1,2,3,4,5,7,8,9],[6,10,11,12,13,14,15,16]]=>000010001000000
[[1,2,3,4,5,6,13,15],[7,8,9,10,11,12,14,16]]=>000001000000101
[[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]]=>000001000000010
[[1,2,3,4,5,6,12,15],[7,8,9,10,11,13,14,16]]=>000001000001001
[[1,2,3,4,5,6,12,14],[7,8,9,10,11,13,15,16]]=>000001000001010
[[1,2,3,4,5,6,11,15],[7,8,9,10,12,13,14,16]]=>000001000010001
[[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]=>000001000100001
[[1,2,3,4,5,6,10,14],[7,8,9,11,12,13,15,16]]=>000001000100010
[[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]=>000001001000001
[[1,2,3,4,5,6,9,14],[7,8,10,11,12,13,15,16]]=>000001001000010
[[1,2,3,4,5,6,9,13],[7,8,10,11,12,14,15,16]]=>000001001000100
[[1,2,3,4,5,6,9,12],[7,8,10,11,13,14,15,16]]=>000001001001000
[[1,2,3,4,5,6,9,11],[7,8,10,12,13,14,15,16]]=>000001001010000
[[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]=>000001010000001
[[1,2,3,4,5,6,8,14],[7,9,10,11,12,13,15,16]]=>000001010000010
[[1,2,3,4,5,6,8,10],[7,9,11,12,13,14,15,16]]=>000001010100000
[[1,2,3,4,5,6,8,9],[7,10,11,12,13,14,15,16]]=>000001001000000
[[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]=>000000100000001
[[1,2,3,4,5,6,7,14],[8,9,10,11,12,13,15,16]]=>000000100000010
[[1,2,3,4,5,6,7,13],[8,9,10,11,12,14,15,16]]=>000000100000100
[[1,2,3,4,5,6,7,12],[8,9,10,11,13,14,15,16]]=>000000100001000
[[1,2,3,4,5,6,7,11],[8,9,10,12,13,14,15,16]]=>000000100010000
[[1,2,3,4,5,6,7,10],[8,9,11,12,13,14,15,16]]=>000000100100000
[[1,2,3,4,5,6,7,9],[8,10,11,12,13,14,15,16]]=>000000101000000
[[1,2,3,4,5,6,7,8],[9,10,11,12,13,14,15,16]]=>000000010000000
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]]=>010101010101010
[[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14],[15,16]]=>111111011111110
[[1,2],[3,10],[4,11],[5,12],[6,13],[7,14],[8,15],[9,16]]=>011111110111111
[[1,7],[2,9],[3,10],[4,11],[5,12],[6,13],[8,14],[15,16]]=>111110101111110
[[1,2],[3,9],[4,11],[5,12],[6,13],[7,14],[8,15],[10,16]]=>011111101011111
[[1,7],[2,8],[3,10],[4,11],[5,12],[6,13],[9,14],[15,16]]=>111110110111110
[[1,6],[2,9],[3,10],[4,11],[5,12],[7,13],[8,14],[15,16]]=>111101101111110
[[1,2],[3,9],[4,10],[5,12],[6,13],[7,14],[8,15],[11,16]]=>011111101101111
[[1,2],[3,8],[4,11],[5,12],[6,13],[7,14],[9,15],[10,16]]=>011111011011111
[[1,7],[2,8],[3,9],[4,11],[5,12],[6,13],[10,14],[15,16]]=>111110111011110
[[1,6],[2,8],[3,10],[4,11],[5,12],[7,13],[9,14],[15,16]]=>111101010111110
[[1,5],[2,9],[3,10],[4,11],[6,12],[7,13],[8,14],[15,16]]=>111011101111110
[[1,2],[3,9],[4,10],[5,11],[6,13],[7,14],[8,15],[12,16]]=>011111101110111
[[1,2],[3,8],[4,10],[5,12],[6,13],[7,14],[9,15],[11,16]]=>011111010101111
[[1,2],[3,7],[4,11],[5,12],[6,13],[8,14],[9,15],[10,16]]=>011110111011111
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,16]]=>010101010101101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,16]]=>010101010110101
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,16]]=>010101011010101
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,16]]=>010101101010101
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,16]]=>010110101010101
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16]]=>011010101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16]]=>101010101010101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,14],[12,15],[13,16]]=>010101010111011
[[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,15],[14,16]]=>010101011101101
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,15],[14,16]]=>010101110110101
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,15],[14,16]]=>010111011010101
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,15],[14,16]]=>011101101010101
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,16]]=>110110101010101
[[1,2],[3,4],[5,6],[7,8],[9,12],[10,14],[11,15],[13,16]]=>010101011101011
[[1,2],[3,4],[5,6],[7,10],[8,12],[9,13],[11,15],[14,16]]=>010101110101101
[[1,2],[3,4],[5,6],[7,8],[9,13],[10,14],[11,15],[12,16]]=>010101011110111
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,13],[12,15],[14,16]]=>010111010110101
[[1,2],[3,4],[5,6],[7,11],[8,12],[9,13],[10,15],[14,16]]=>010101111011101
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,13],[12,15],[14,16]]=>011101011010101
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,13],[12,15],[14,16]]=>010111101110101
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,15],[14,16]]=>110101101010101
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,13],[12,15],[14,16]]=>011110111010101
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,15],[14,16]]=>111011101010101
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]]=>101101010101010
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16]]=>101011010101010
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16]]=>101010110101010
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16]]=>101010101101010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16]]=>101010101011010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16]]=>101010101010110
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14],[15,16]]=>110111010101010
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14],[15,16]]=>101101110101010
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14],[15,16]]=>101011011101010
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14],[15,16]]=>101010110111010
[[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14],[15,16]]=>101010101101110
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,15],[13,16]]=>101010101011011
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12],[13,14],[15,16]]=>110101110101010
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12],[13,14],[15,16]]=>101101011101010
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,14],[15,16]]=>111011110101010
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12],[13,14],[15,16]]=>101011010111010
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12],[13,14],[15,16]]=>101110111101010
[[1,3],[2,5],[4,7],[6,10],[8,12],[9,13],[11,14],[15,16]]=>101010110101110
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12],[13,14],[15,16]]=>101011101111010
[[1,3],[2,5],[4,7],[6,9],[8,12],[10,14],[11,15],[13,16]]=>101010101101011
[[1,3],[2,5],[4,7],[6,11],[8,12],[9,13],[10,14],[15,16]]=>101010111011110
[[1,3],[2,5],[4,7],[6,9],[8,13],[10,14],[11,15],[12,16]]=>101010101110111
[[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]]=>10101010101010101
[[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]]=>10101010101010010
[[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]]=>10101010101001010
[[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]]=>10101010100101010
[[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]]=>10101010010101010
[[1,3,5,7,8,10,12,14,16],[2,4,6,9,11,13,15,17,18]]=>10101001010101010
[[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]]=>10100101010101010
[[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]]=>10010101010101010
[[1,2,4,6,8,10,12,14,16],[3,5,7,9,11,13,15,17,18]]=>01010101010101010
[[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]]=>10101010101000100
[[1,3,5,7,9,11,12,13,16],[2,4,6,8,10,14,15,17,18]]=>10101010100010010
[[1,3,5,7,9,10,11,14,16],[2,4,6,8,12,13,15,17,18]]=>10101010001001010
[[1,3,5,7,8,9,12,14,16],[2,4,6,10,11,13,15,17,18]]=>10101000100101010
[[1,3,5,6,7,10,12,14,16],[2,4,8,9,11,13,15,17,18]]=>10100010010101010
[[1,3,4,5,8,10,12,14,16],[2,6,7,9,11,13,15,17,18]]=>10001001010101010
[[1,2,3,6,8,10,12,14,16],[4,5,7,9,11,13,15,17,18]]=>00100101010101010
[[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]=>00000001000000001
[[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]=>10000000010000000
[[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]=>00000010100000001
[[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]=>10000000101000000
[[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]]=>00000010010000001
[[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]]=>00000100100000001
[[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]=>10000000100100000
[[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]=>10000001001000000
[[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[17,18]]=>11111110111111110
[[1,2],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[10,18]]=>01111111101111111
[[1,8],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[9,16],[17,18]]=>11111101011111110
[[1,2],[3,10],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[11,18]]=>01111111010111111
[[1,8],[2,9],[3,11],[4,12],[5,13],[6,14],[7,15],[10,16],[17,18]]=>11111101101111110
[[1,7],[2,10],[3,11],[4,12],[5,13],[6,14],[8,15],[9,16],[17,18]]=>11111011011111110
[[1,2],[3,10],[4,11],[5,13],[6,14],[7,15],[8,16],[9,17],[12,18]]=>01111111011011111
[[1,2],[3,9],[4,12],[5,13],[6,14],[7,15],[8,16],[10,17],[11,18]]=>01111110110111111
[[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]=>01001010101010101
[[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]=>01010010101010101
[[1,2,4,6,9,11,13,15,17],[3,5,7,8,10,12,14,16,18]]=>01010100101010101
[[1,2,4,6,8,11,13,15,17],[3,5,7,9,10,12,14,16,18]]=>01010101001010101
[[1,2,4,6,8,10,13,15,17],[3,5,7,9,11,12,14,16,18]]=>01010101010010101
[[1,2,4,6,8,10,12,15,17],[3,5,7,9,11,13,14,16,18]]=>01010101010100101
[[1,2,4,6,8,10,12,14,17],[3,5,7,9,11,13,15,16,18]]=>01010101010101001
[[1,2,3,7,9,11,13,15,17],[4,5,6,8,10,12,14,16,18]]=>00100010101010101
[[1,2,4,5,9,11,13,15,17],[3,6,7,8,10,12,14,16,18]]=>01001000101010101
[[1,2,4,6,7,11,13,15,17],[3,5,8,9,10,12,14,16,18]]=>01010010001010101
[[1,2,4,6,8,9,13,15,17],[3,5,7,10,11,12,14,16,18]]=>01010100100010101
[[1,2,4,6,8,10,11,15,17],[3,5,7,9,12,13,14,16,18]]=>01010101001000101
[[1,2,4,6,8,10,12,13,17],[3,5,7,9,11,14,15,16,18]]=>01010101010010001
[[1,2,4,6,8,10,12,14,15],[3,5,7,9,11,13,16,17,18]]=>01010101010100100
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>01010101010101010
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,18]]=>01010101010101101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,18]]=>01010101010110101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,17],[16,18]]=>01010101011010101
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,17],[16,18]]=>01010101101010101
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>01010110101010101
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>01011010101010101
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>01101010101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>10101010101010101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,16],[14,17],[15,18]]=>01010101010111011
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,14],[12,15],[13,17],[16,18]]=>01010101011101101
[[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,15],[14,17],[16,18]]=>01010101110110101
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,15],[14,17],[16,18]]=>01010111011010101
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,15],[14,17],[16,18]]=>01011101101010101
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>01110110101010101
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]=>11011010101010101
[[1,2,3,4,5,6,7,8,9],[10,11,12,13,14,15,16,17,18]]=>00000000100000000
[[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]]=>01000000001000000
[[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]]=>00100000000100000
[[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]]=>00010000000010000
[[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]]=>00001000000001000
[[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]]=>00000100000000100
[[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]]=>00000010000000010
[[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]]=>10100000001000000
[[1,2,4,7,8,9,10,11,12],[3,5,6,13,14,15,16,17,18]]=>01010000000100000
[[1,2,3,5,9,10,11,12,13],[4,6,7,8,14,15,16,17,18]]=>00101000000010000
[[1,2,3,4,6,11,12,13,14],[5,7,8,9,10,15,16,17,18]]=>00010100000001000
[[1,2,3,4,5,7,13,14,15],[6,8,9,10,11,12,16,17,18]]=>00001010000000100
[[1,2,3,4,5,6,8,15,16],[7,9,10,11,12,13,14,17,18]]=>00000101000000010
[[1,2,4,6,8,10,12,13,15],[3,5,7,9,11,14,16,17,18]]=>01010101010010100
[[1,2,4,6,8,10,11,13,15],[3,5,7,9,12,14,16,17,18]]=>01010101001010100
[[1,2,4,5,7,9,11,13,15],[3,6,8,10,12,14,16,17,18]]=>01001010101010100
[[1,2,3,5,7,9,11,13,15],[4,6,8,10,12,14,16,17,18]]=>00101010101010100
[[1,2,4,6,8,10,13,14,15],[3,5,7,9,11,12,16,17,18]]=>01010101010000100
[[1,2,5,6,7,9,11,13,15],[3,4,8,10,12,14,16,17,18]]=>01000010101010100
[[1,3,4,5,7,9,11,13,15],[2,6,8,10,12,14,16,17,18]]=>10001010101010100
[[1,2,4,6,8,10,12,13,14],[3,5,7,9,11,15,16,17,18]]=>01010101010001000
[[1,2,4,6,8,10,11,12,14],[3,5,7,9,13,15,16,17,18]]=>01010101000101000
[[1,2,4,6,8,9,10,12,14],[3,5,7,11,13,15,16,17,18]]=>01010100010101000
[[1,2,4,6,7,8,10,12,14],[3,5,9,11,13,15,16,17,18]]=>01010001010101000
[[1,2,4,5,6,8,10,12,14],[3,7,9,11,13,15,16,17,18]]=>01000101010101000
[[1,2,3,4,6,8,10,12,14],[5,7,9,11,13,15,16,17,18]]=>00010101010101000
[[1,2,4,6,8,11,12,13,14],[3,5,7,9,10,15,16,17,18]]=>01010101000001000
[[1,2,4,6,9,10,11,12,14],[3,5,7,8,13,15,16,17,18]]=>01010100000101000
[[1,2,4,7,8,9,10,12,14],[3,5,6,11,13,15,16,17,18]]=>01010000010101000
[[1,2,5,6,7,8,10,12,14],[3,4,9,11,13,15,16,17,18]]=>01000001010101000
[[1,3,4,5,6,8,10,12,14],[2,7,9,11,13,15,16,17,18]]=>10000101010101000
[[1,2,3,4,5,6,7,8,16],[9,10,11,12,13,14,15,17,18]]=>00000001000000010
[[1,2,3,4,5,6,7,8,15],[9,10,11,12,13,14,16,17,18]]=>00000001000000100
[[1,2,3,4,5,6,7,8,14],[9,10,11,12,13,15,16,17,18]]=>00000001000001000
[[1,2,3,4,5,6,7,8,13],[9,10,11,12,14,15,16,17,18]]=>00000001000010000
[[1,2,3,4,5,6,7,8,12],[9,10,11,13,14,15,16,17,18]]=>00000001000100000
[[1,2,3,4,5,6,7,8,11],[9,10,12,13,14,15,16,17,18]]=>00000001001000000
[[1,2,3,4,5,6,7,8,10],[9,11,12,13,14,15,16,17,18]]=>00000001010000000
[[1,2,3,4,5,6,7,15,17],[8,9,10,11,12,13,14,16,18]]=>00000010000000101
[[1,2,3,4,5,6,13,14,16],[7,8,9,10,11,12,15,17,18]]=>00000100000001010
[[1,2,3,4,5,11,12,13,15],[6,7,8,9,10,14,16,17,18]]=>00001000000010100
[[1,2,3,4,9,10,11,12,14],[5,6,7,8,13,15,16,17,18]]=>00010000000101000
[[1,2,3,7,8,9,10,11,13],[4,5,6,12,14,15,16,17,18]]=>00100000001010000
[[1,2,5,6,7,8,9,10,12],[3,4,11,13,14,15,16,17,18]]=>01000000010100000
[[1,2,3,5,7,9,11,13,17],[4,6,8,10,12,14,15,16,18]]=>00101010101010001
[[1,2,3,5,7,9,11,15,17],[4,6,8,10,12,13,14,16,18]]=>00101010101000101
[[1,2,3,5,7,9,13,15,17],[4,6,8,10,11,12,14,16,18]]=>00101010100010101
[[1,2,3,5,7,11,13,15,17],[4,6,8,9,10,12,14,16,18]]=>00101010001010101
[[1,2,3,5,9,11,13,15,17],[4,6,7,8,10,12,14,16,18]]=>00101000101010101
[[1,2,4,5,6,7,8,9,17],[3,10,11,12,13,14,15,16,18]]=>01000000100000001
[[1,2,5,6,8,9,10,11,12],[3,4,7,13,14,15,16,17,18]]=>01000100000100000
[[1,2,3,5,6,7,8,15,16],[4,9,10,11,12,13,14,17,18]]=>00100001000000010
[[1,2,3,7,8,9,11,12,13],[4,5,6,10,14,15,16,17,18]]=>00100000100010000
[[1,2,3,4,6,7,13,14,15],[5,8,9,10,11,12,16,17,18]]=>00010010000000100
[[1,2,3,4,5,6,7,9,10],[8,11,12,13,14,15,16,17,18]]=>00000010010000000
[[1,2,3,4,5,6,8,9,10],[7,11,12,13,14,15,16,17,18]]=>00000100010000000
[[1,2,3,4,5,7,8,9,10],[6,11,12,13,14,15,16,17,18]]=>00001000010000000
[[1,2,3,4,6,7,8,9,10],[5,11,12,13,14,15,16,17,18]]=>00010000010000000
[[1,2,3,5,6,7,8,9,10],[4,11,12,13,14,15,16,17,18]]=>00100000010000000
[[1,2,4,5,6,7,8,9,10],[3,11,12,13,14,15,16,17,18]]=>01000000010000000
[[1,2,3,4,5,6,7,9,11],[8,10,12,13,14,15,16,17,18]]=>00000010101000000
[[1,2,3,4,5,6,8,9,12],[7,10,11,13,14,15,16,17,18]]=>00000100100100000
[[1,2,3,4,5,7,8,9,13],[6,10,11,12,14,15,16,17,18]]=>00001000100010000
[[1,2,3,4,6,7,8,9,14],[5,10,11,12,13,15,16,17,18]]=>00010000100001000
[[1,2,3,5,6,7,8,9,15],[4,10,11,12,13,14,16,17,18]]=>00100000100000100
[[1,2,4,5,6,7,8,9,16],[3,10,11,12,13,14,15,17,18]]=>01000000100000010
[[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]]=>10000000100000001
[[1,2,3,4,5,6,8,10,11],[7,9,12,13,14,15,16,17,18]]=>00000101001000000
[[1,2,3,4,5,6,7,10,12],[8,9,11,13,14,15,16,17,18]]=>00000010010100000
[[1,2,3,4,5,6,8,11,12],[7,9,10,13,14,15,16,17,18]]=>00000101000100000
[[1,2,3,4,5,7,8,10,11],[6,9,12,13,14,15,16,17,18]]=>00001001001000000
[[1,2,3,4,5,6,7,10,13],[8,9,11,12,14,15,16,17,18]]=>00000010010010000
[[1,2,3,4,5,6,9,10,12],[7,8,11,13,14,15,16,17,18]]=>00000100010100000
[[1,3,4,6,8,10,12,14,15],[2,5,7,9,11,13,16,17,18]]=>10010101010100100
[[1,2,4,6,8,10,12,15,16],[3,5,7,9,11,13,14,17,18]]=>01010101010100010
[[1,2,5,6,8,10,12,14,16],[3,4,7,9,11,13,15,17,18]]=>01000101010101010
[[1,2,3,6,8,10,12,14,17],[4,5,7,9,11,13,15,16,18]]=>00100101010101001
[[1,2,4,6,8,10,11,14,16],[3,5,7,9,12,13,15,17,18]]=>01010101001001010
[[1,2,4,6,8,10,11,13,16],[3,5,7,9,12,14,15,17,18]]=>01010101001010010
[[1,3,4,6,8,11,13,15,17],[2,5,7,9,10,12,14,16,18]]=>10010101001010101
[[1,3,5,6,8,11,13,15,17],[2,4,7,9,10,12,14,16,18]]=>10100101001010101
[[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]=>10101001001010101
[[1,2,4,6,8,10,11,12,16],[3,5,7,9,13,14,15,17,18]]=>01010101000100010
[[1,2,4,6,8,10,11,13,14],[3,5,7,9,12,15,16,17,18]]=>01010101001001000
[[1,2,4,6,8,11,13,15,16],[3,5,7,9,10,12,14,17,18]]=>01010101001010010
[[1,2,3,4,6,8,11,13,15],[5,7,9,10,12,14,16,17,18]]=>00010101001010100
[[1,2,5,6,8,11,13,15,17],[3,4,7,9,10,12,14,16,18]]=>01000101001010101
[[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]]=>10010001001010101
[[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]=>10100100101010101
[[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]=>01001010101010010
[[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]=>01001010101001001
[[1,2,5,7,9,11,13,14,16],[3,4,6,8,10,12,15,17,18]]=>01001010101001010
[[1,2,4,6,8,10,12,13,16],[3,5,7,9,11,14,15,17,18]]=>01010101010010010
[[1,2,4,7,9,11,13,14,16],[3,5,6,8,10,12,15,17,18]]=>01010010101001010
[[1,2,3,4,5,6,7,9,16],[8,10,11,12,13,14,15,17,18]]=>00000010100000010
[[1,2,4,5,6,7,8,9,11],[3,10,12,13,14,15,16,17,18]]=>01000000101000000
[[1,2,3,4,5,6,7,10,16],[8,9,11,12,13,14,15,17,18]]=>00000010010000010
[[1,2,3,4,5,6,8,9,16],[7,10,11,12,13,14,15,17,18]]=>00000100100000010
[[1,2,4,5,6,7,8,9,12],[3,10,11,13,14,15,16,17,18]]=>01000000100100000
[[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]]=>10101010100100010
[[1,2,3,4,6,8,10,12,13],[5,7,9,11,14,15,16,17,18]]=>00010101010010000
[[1,2,3,4,5,8,10,12,14],[6,7,9,11,13,15,16,17,18]]=>00001001010101000
[[1,2,3,4,5,7,9,11,12],[6,8,10,13,14,15,16,17,18]]=>00001010100100000
[[1,2,3,4,5,6,9,11,13],[7,8,10,12,14,15,16,17,18]]=>00000100101010000
[[1,2,3,4,6,8,10,13,14],[5,7,9,11,12,15,16,17,18]]=>00010101010001000
[[1,2,3,5,6,8,10,12,13],[4,7,9,11,14,15,16,17,18]]=>00100101010010000
[[1,2,3,4,5,8,10,12,15],[6,7,9,11,13,14,16,17,18]]=>00001001010100100
[[1,2,3,4,7,8,10,12,14],[5,6,9,11,13,15,16,17,18]]=>00010001010101000
[[1,2,3,4,5,6,13,15,17],[7,8,9,10,11,12,14,16,18]]=>00000100000010101
[[1,2,3,4,5,11,13,15,17],[6,7,8,9,10,12,14,16,18]]=>00001000001010101
[[1,2,3,4,9,11,13,15,17],[5,6,7,8,10,12,14,16,18]]=>00010000101010101
[[1,2,3,4,5,6,7,14,17],[8,9,10,11,12,13,15,16,18]]=>00000010000001001
[[1,2,3,4,5,6,12,15,17],[7,8,9,10,11,13,14,16,18]]=>00000100000100101
[[1,2,3,4,5,10,13,15,17],[6,7,8,9,11,12,14,16,18]]=>00001000010010101
[[1,2,3,4,8,11,13,15,17],[5,6,7,9,10,12,14,16,18]]=>00010001001010101
[[1,2,3,6,9,11,13,15,17],[4,5,7,8,10,12,14,16,18]]=>00100100101010101
[[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]]=>01000000010000001
[[1,3,4,7,9,11,13,14,16],[2,5,6,8,10,12,15,17,18]]=>10010010101001010
[[1,2,4,7,9,11,13,15,16],[3,5,6,8,10,12,14,17,18]]=>01010010101010010
[[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]=>10010010101010010
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>10110101010101010
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>10101101010101010
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>10101011010101010
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18]]=>10101010110101010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16],[17,18]]=>10101010101101010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16],[17,18]]=>10101010101011010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16],[17,18]]=>10101010101010110
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>11011101010101010
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14],[15,16],[17,18]]=>10110111010101010
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14],[15,16],[17,18]]=>10101101110101010
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14],[15,16],[17,18]]=>10101011011101010
[[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14],[15,16],[17,18]]=>10101010110111010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,15],[13,16],[17,18]]=>10101010101101110
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,16],[14,17],[15,18]]=>10101010101011011
[[1,2,3,5,7,9,11,13,16],[4,6,8,10,12,14,15,17,18]]=>00101010101010010
[[1,3,4,5,7,9,11,13,16],[2,6,8,10,12,14,15,17,18]]=>10001010101010010
[[1,2,3,5,7,9,11,15,16],[4,6,8,10,12,13,14,17,18]]=>00101010101000010
[[1,2,4,5,7,9,11,13,17],[3,6,8,10,12,14,15,16,18]]=>01001010101010001
[[1,2,3,5,8,10,12,14,16],[4,6,7,9,11,13,15,17,18]]=>00101001010101010
[[1,2,4,5,8,10,12,14,16],[3,6,7,9,11,13,15,17,18]]=>01001001010101010
[[1,3,4,5,9,11,13,15,17],[2,6,7,8,10,12,14,16,18]]=>10001000101010101
[[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]]=>10000001000000010
[[1,3,4,5,6,7,8,10,12],[2,9,11,13,14,15,16,17,18]]=>10000001010100000
[[1,3,4,5,6,7,9,11,13],[2,8,10,12,14,15,16,17,18]]=>10000010101010000
[[1,3,4,5,6,7,8,11,13],[2,9,10,12,14,15,16,17,18]]=>10000001001010000
[[1,3,4,5,6,7,10,12,14],[2,8,9,11,13,15,16,17,18]]=>10000010010101000
[[1,3,4,5,6,9,11,13,15],[2,7,8,10,12,14,16,17,18]]=>10000100101010100
[[1,3,5,6,7,9,11,14,16],[2,4,8,10,12,13,15,17,18]]=>10100010101001010
[[1,3,5,6,9,11,12,14,16],[2,4,7,8,10,13,15,17,18]]=>10100100100101010
[[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]]=>1010101010101010101
[[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]]=>1010101010101010010
[[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]]=>1010101010101001010
[[1,3,5,7,9,11,13,14,16,18],[2,4,6,8,10,12,15,17,19,20]]=>1010101010100101010
[[1,3,5,7,9,11,12,14,16,18],[2,4,6,8,10,13,15,17,19,20]]=>1010101010010101010
[[1,3,5,7,9,10,12,14,16,18],[2,4,6,8,11,13,15,17,19,20]]=>1010101001010101010
[[1,3,5,7,8,10,12,14,16,18],[2,4,6,9,11,13,15,17,19,20]]=>1010100101010101010
[[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]]=>1010010101010101010
[[1,3,4,6,8,10,12,14,16,18],[2,5,7,9,11,13,15,17,19,20]]=>1001010101010101010
[[1,2,4,6,8,10,12,14,16,18],[3,5,7,9,11,13,15,17,19,20]]=>0101010101010101010
[[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]=>0000000010000000001
[[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]=>1000000000100000000
[[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]]=>0000000101000000001
[[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]=>1000000001010000000
[[1,10],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[19,20]]=>1111111101111111110
[[1,2],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[11,20]]=>0111111111011111111
[[1,9],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[10,18],[19,20]]=>1111111010111111110
[[1,2],[3,11],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[12,20]]=>0111111110101111111
[[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]=>0100101010101010101
[[1,2,4,7,9,11,13,15,17,19],[3,5,6,8,10,12,14,16,18,20]]=>0101001010101010101
[[1,2,4,6,9,11,13,15,17,19],[3,5,7,8,10,12,14,16,18,20]]=>0101010010101010101
[[1,2,4,6,8,11,13,15,17,19],[3,5,7,9,10,12,14,16,18,20]]=>0101010100101010101
[[1,2,4,6,8,10,13,15,17,19],[3,5,7,9,11,12,14,16,18,20]]=>0101010101001010101
[[1,2,4,6,8,10,12,15,17,19],[3,5,7,9,11,13,14,16,18,20]]=>0101010101010010101
[[1,2,4,6,8,10,12,14,17,19],[3,5,7,9,11,13,15,16,18,20]]=>0101010101010100101
[[1,2,4,6,8,10,12,14,16,19],[3,5,7,9,11,13,15,17,18,20]]=>0101010101010101001
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>0101010101010101010
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,19],[18,20]]=>0101010101010101101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,19],[18,20]]=>0101010101010110101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,19],[18,20]]=>0101010101011010101
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,17],[16,19],[18,20]]=>0101010101101010101
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>0101010110101010101
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>0101011010101010101
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>0101101010101010101
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>0110101010101010101
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]=>1010101010101010101
[[1,2,3,4,5,6,7,8,9,10],[11,12,13,14,15,16,17,18,19,20]]=>0000000001000000000
[[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]]=>0100000000010000000
[[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]]=>0010000000001000000
[[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]]=>0001000000000100000
[[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]]=>0000100000000010000
[[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]]=>0000010000000001000
[[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]]=>0000001000000000100
[[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]]=>0000000100000000010
[[1,2,4,6,8,10,12,14,16,17],[3,5,7,9,11,13,15,18,19,20]]=>0101010101010100100
[[1,2,4,5,7,9,11,13,15,17],[3,6,8,10,12,14,16,18,19,20]]=>0100101010101010100
[[1,2,4,6,8,10,12,14,15,16],[3,5,7,9,11,13,17,18,19,20]]=>0101010101010001000
[[1,2,4,6,8,10,12,13,14,16],[3,5,7,9,11,15,17,18,19,20]]=>0101010101000101000
[[1,2,4,6,8,10,11,12,14,16],[3,5,7,9,13,15,17,18,19,20]]=>0101010100010101000
[[1,2,4,6,8,9,10,12,14,16],[3,5,7,11,13,15,17,18,19,20]]=>0101010001010101000
[[1,2,4,6,7,8,10,12,14,16],[3,5,9,11,13,15,17,18,19,20]]=>0101000101010101000
[[1,2,4,5,6,8,10,12,14,16],[3,7,9,11,13,15,17,18,19,20]]=>0100010101010101000
[[1,2,3,4,6,8,10,12,14,16],[5,7,9,11,13,15,17,18,19,20]]=>0001010101010101000
[[1,2,3,4,5,6,7,8,9,18],[10,11,12,13,14,15,16,17,19,20]]=>0000000010000000010
[[1,2,3,4,5,6,7,8,9,17],[10,11,12,13,14,15,16,18,19,20]]=>0000000010000000100
[[1,2,3,4,5,6,7,8,9,16],[10,11,12,13,14,15,17,18,19,20]]=>0000000010000001000
[[1,2,3,4,5,6,7,8,9,15],[10,11,12,13,14,16,17,18,19,20]]=>0000000010000010000
[[1,2,3,4,5,6,7,8,9,14],[10,11,12,13,15,16,17,18,19,20]]=>0000000010000100000
[[1,2,3,4,5,6,7,8,9,13],[10,11,12,14,15,16,17,18,19,20]]=>0000000010001000000
[[1,2,3,4,5,6,7,8,9,12],[10,11,13,14,15,16,17,18,19,20]]=>0000000010010000000
[[1,2,3,4,5,6,7,8,9,11],[10,12,13,14,15,16,17,18,19,20]]=>0000000010100000000
[[1,2,3,4,5,6,7,8,10,11],[9,12,13,14,15,16,17,18,19,20]]=>0000000100100000000
[[1,2,3,4,5,6,7,9,10,11],[8,12,13,14,15,16,17,18,19,20]]=>0000001000100000000
[[1,2,3,4,5,6,8,9,10,11],[7,12,13,14,15,16,17,18,19,20]]=>0000010000100000000
[[1,2,3,4,5,7,8,9,10,11],[6,12,13,14,15,16,17,18,19,20]]=>0000100000100000000
[[1,2,3,4,6,7,8,9,10,11],[5,12,13,14,15,16,17,18,19,20]]=>0001000000100000000
[[1,2,3,5,6,7,8,9,10,11],[4,12,13,14,15,16,17,18,19,20]]=>0010000000100000000
[[1,2,4,5,6,7,8,9,10,11],[3,12,13,14,15,16,17,18,19,20]]=>0100000000100000000
[[1,2,3,4,5,6,7,9,11,12],[8,10,13,14,15,16,17,18,19,20]]=>0000001010010000000
[[1,2,3,4,5,6,7,8,11,13],[9,10,12,14,15,16,17,18,19,20]]=>0000000100101000000
[[1,2,3,6,8,10,12,14,16,18],[4,5,7,9,11,13,15,17,19,20]]=>0010010101010101010
[[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]=>1010101010010010101
[[1,3,5,7,9,11,12,14,17,19],[2,4,6,8,10,13,15,16,18,20]]=>1010101010010100101
[[1,3,5,7,9,11,12,14,16,19],[2,4,6,8,10,13,15,17,18,20]]=>1010101010010101001
[[1,2,3,5,7,9,12,14,16,18],[4,6,8,10,11,13,15,17,19,20]]=>0010101010010101010
[[1,2,4,5,7,9,12,14,16,18],[3,6,8,10,11,13,15,17,19,20]]=>0100101010010101010
[[1,2,4,6,7,9,12,14,16,18],[3,5,8,10,11,13,15,17,19,20]]=>0101001010010101010
[[1,2,4,6,8,9,12,14,16,18],[3,5,7,10,11,13,15,17,19,20]]=>0101010010010101010
[[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]=>0100101010101010010
[[1,2,3,4,5,6,7,8,10,18],[9,11,12,13,14,15,16,17,19,20]]=>0000000101000000010
[[1,2,3,4,5,7,9,11,13,14],[6,8,10,12,15,16,17,18,19,20]]=>0000101010100100000
[[1,2,3,4,5,6,9,11,13,15],[7,8,10,12,14,16,17,18,19,20]]=>0000010010101010000
[[1,2,3,4,6,8,10,12,14,15],[5,7,9,11,13,16,17,18,19,20]]=>0001010101010010000
[[1,2,3,4,5,8,10,12,14,16],[6,7,9,11,13,15,17,18,19,20]]=>0000100101010101000
[[1,2,3,4,5,6,7,8,17,19],[9,10,11,12,13,14,15,16,18,20]]=>0000000100000000101
[[1,2,3,4,5,6,7,15,17,19],[8,9,10,11,12,13,14,16,18,20]]=>0000001000000010101
[[1,2,3,4,5,6,13,15,17,19],[7,8,9,10,11,12,14,16,18,20]]=>0000010000001010101
[[1,2,3,4,5,11,13,15,17,19],[6,7,8,9,10,12,14,16,18,20]]=>0000100000101010101
[[1,2,3,4,9,11,13,15,17,19],[5,6,7,8,10,12,14,16,18,20]]=>0001000010101010101
[[1,2,3,7,9,11,13,15,17,19],[4,5,6,8,10,12,14,16,18,20]]=>0010001010101010101
[[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]]=>1000000001000000001
[[1,2,5,7,9,11,13,15,16,18],[3,4,6,8,10,12,14,17,19,20]]=>0100101010101001010
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>1011010101010101010
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>1010110101010101010
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>1010101101010101010
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18],[19,20]]=>1010101011010101010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16],[17,18],[19,20]]=>1010101010110101010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16],[17,18],[19,20]]=>1010101010101101010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16],[17,18],[19,20]]=>1010101010101011010
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18],[19,20]]=>1010101010101010110
[[1,2,3,5,7,9,11,13,15,18],[4,6,8,10,12,14,16,17,19,20]]=>0010101010101010010
[[1,3,4,5,6,7,8,9,10,13],[2,11,12,14,15,16,17,18,19,20]]=>1000000001001000000
[[1,3,4,5,6,7,8,9,11,13],[2,10,12,14,15,16,17,18,19,20]]=>1000000010101000000
[[1,3,4,5,6,7,8,10,12,14],[2,9,11,13,15,16,17,18,19,20]]=>1000000101010100000
[[1,3,4,5,6,7,9,11,13,15],[2,8,10,12,14,16,17,18,19,20]]=>1000001010101010000
[[1,3,4,5,6,8,10,12,14,16],[2,7,9,11,13,15,17,18,19,20]]=>1000010101010101000
[[1,3,4,5,7,9,11,13,15,17],[2,6,8,10,12,14,16,18,19,20]]=>1000101010101010100
[[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]]=>000000000100000000001
[[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]]=>100000000001000000000
[[1,11],[2,12],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20],[21,22]]=>111111111011111111110
[[1,2],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20],[11,21],[12,22]]=>011111111110111111111
[[1,2,3,4,5,6,7,8,9,11,12],[10,13,14,15,16,17,18,19,20,21,22]]=>000000001001000000000
[[1,2,3,4,5,6,7,8,9,10,13],[11,12,14,15,16,17,18,19,20,21,22]]=>000000000100100000000
[[1,3,5,7,9,11,13,15,17,19,20],[2,4,6,8,10,12,14,16,18,21,22]]=>101010101010101010010
[[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]=>010010101010101010101
[[1,2,4,6,8,10,12,14,16,18,20],[3,5,7,9,11,13,15,17,19,21,22]]=>010101010101010101010
[[1,2,3,4,5,6,7,8,9,10,20],[11,12,13,14,15,16,17,18,19,21,22]]=>000000000100000000010
[[1,2,3,4,5,7,9,11,13,15,16],[6,8,10,12,14,17,18,19,20,21,22]]=>000010101010100100000
[[1,2,3,4,5,6,9,11,13,15,17],[7,8,10,12,14,16,18,19,20,21,22]]=>000001001010101010000
[[1,2,3,4,5,6,7,8,9,10,12],[11,13,14,15,16,17,18,19,20,21,22]]=>000000000101000000000
[[1,3,5,7,9,11,13,15,17,18,20],[2,4,6,8,10,12,14,16,19,21,22]]=>101010101010101001010
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(only identities of compositions of up to three maps are shown)
Description
The descent word of a standard Young tableau.
For a standard Young tableau of size $n$ we set $w_i=1$ if $i+1$ is in a lower row than $i$, and $0$ otherwise, for $1\leq i < n$.
For a standard Young tableau of size $n$ we set $w_i=1$ if $i+1$ is in a lower row than $i$, and $0$ otherwise, for $1\leq i < n$.
Properties
surjective, graded
Sage code
def mapping(X): D = X.standard_descents() w = [1 if i in D else 0 for i in range(1, X.size())] return Words([0,1])(w)
Weight
26
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey
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