=>

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