=>

[1]=>[1]=>[[1]]=> [1,2]=>[2]=>[[1,2]]=>0 [2,1]=>[1,1]=>[[1],[2]]=>1 [1,2,3]=>[3]=>[[1,2,3]]=>00 [1,3,2]=>[2,1]=>[[1,3],[2]]=>10 [2,1,3]=>[2,1]=>[[1,3],[2]]=>10 [2,3,1]=>[2,1]=>[[1,3],[2]]=>10 [3,1,2]=>[2,1]=>[[1,3],[2]]=>10 [3,2,1]=>[1,1,1]=>[[1],[2],[3]]=>11 [1,2,3,4]=>[4]=>[[1,2,3,4]]=>000 [1,2,4,3]=>[3,1]=>[[1,3,4],[2]]=>100 [1,3,2,4]=>[3,1]=>[[1,3,4],[2]]=>100 [1,3,4,2]=>[3,1]=>[[1,3,4],[2]]=>100 [1,4,2,3]=>[3,1]=>[[1,3,4],[2]]=>100 [1,4,3,2]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [2,1,3,4]=>[3,1]=>[[1,3,4],[2]]=>100 [2,1,4,3]=>[2,2]=>[[1,2],[3,4]]=>010 [2,3,1,4]=>[3,1]=>[[1,3,4],[2]]=>100 [2,3,4,1]=>[3,1]=>[[1,3,4],[2]]=>100 [2,4,1,3]=>[2,2]=>[[1,2],[3,4]]=>010 [2,4,3,1]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [3,1,2,4]=>[3,1]=>[[1,3,4],[2]]=>100 [3,1,4,2]=>[2,2]=>[[1,2],[3,4]]=>010 [3,2,1,4]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [3,2,4,1]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [3,4,1,2]=>[2,2]=>[[1,2],[3,4]]=>010 [3,4,2,1]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [4,1,2,3]=>[3,1]=>[[1,3,4],[2]]=>100 [4,1,3,2]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [4,2,1,3]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [4,2,3,1]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [4,3,1,2]=>[2,1,1]=>[[1,4],[2],[3]]=>110 [4,3,2,1]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>111 [1,2,3,4,5]=>[5]=>[[1,2,3,4,5]]=>0000 [1,2,3,5,4]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,2,4,3,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,2,4,5,3]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,2,5,3,4]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,2,5,4,3]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,3,2,4,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,3,2,5,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [1,3,4,2,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,3,4,5,2]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,3,5,2,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [1,3,5,4,2]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,4,2,3,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,4,2,5,3]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [1,4,3,2,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,4,3,5,2]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,4,5,2,3]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [1,4,5,3,2]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,5,2,3,4]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [1,5,2,4,3]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,5,3,2,4]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,5,3,4,2]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,5,4,2,3]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [1,5,4,3,2]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [2,1,3,4,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [2,1,3,5,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,1,4,3,5]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,1,4,5,3]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,1,5,3,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,1,5,4,3]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [2,3,1,4,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [2,3,1,5,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,3,4,1,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [2,3,4,5,1]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [2,3,5,1,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,3,5,4,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [2,4,1,3,5]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,4,1,5,3]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,4,3,1,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [2,4,3,5,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [2,4,5,1,3]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,4,5,3,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [2,5,1,3,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [2,5,1,4,3]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [2,5,3,1,4]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [2,5,3,4,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [2,5,4,1,3]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [2,5,4,3,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [3,1,2,4,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [3,1,2,5,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [3,1,4,2,5]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [3,1,4,5,2]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [3,1,5,2,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [3,1,5,4,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [3,2,1,4,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [3,2,1,5,4]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [3,2,4,1,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [3,2,4,5,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [3,2,5,1,4]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [3,2,5,4,1]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [3,4,1,2,5]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [3,4,1,5,2]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [3,4,2,1,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [3,4,2,5,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [3,4,5,1,2]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [3,4,5,2,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [3,5,1,2,4]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [3,5,1,4,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [3,5,2,1,4]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [3,5,2,4,1]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [3,5,4,1,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [3,5,4,2,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [4,1,2,3,5]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [4,1,2,5,3]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [4,1,3,2,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [4,1,3,5,2]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [4,1,5,2,3]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [4,1,5,3,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,2,1,3,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [4,2,1,5,3]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,2,3,1,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [4,2,3,5,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [4,2,5,1,3]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,2,5,3,1]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,3,1,2,5]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [4,3,1,5,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,3,2,1,5]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [4,3,2,5,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [4,3,5,1,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,3,5,2,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [4,5,1,2,3]=>[3,2]=>[[1,2,5],[3,4]]=>0100 [4,5,1,3,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,5,2,1,3]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,5,2,3,1]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,5,3,1,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [4,5,3,2,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,1,2,3,4]=>[4,1]=>[[1,3,4,5],[2]]=>1000 [5,1,2,4,3]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,1,3,2,4]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,1,3,4,2]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,1,4,2,3]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,1,4,3,2]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,2,1,3,4]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,2,1,4,3]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [5,2,3,1,4]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,2,3,4,1]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,2,4,1,3]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [5,2,4,3,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,3,1,2,4]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,3,1,4,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [5,3,2,1,4]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,3,2,4,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,3,4,1,2]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1010 [5,3,4,2,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,4,1,2,3]=>[3,1,1]=>[[1,4,5],[2],[3]]=>1100 [5,4,1,3,2]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,4,2,1,3]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,4,2,3,1]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,4,3,1,2]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1110 [5,4,3,2,1]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>1111 [1,2,3,4,5,6]=>[6]=>[[1,2,3,4,5,6]]=>00000 [1,2,3,4,6,5]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,3,5,4,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,3,5,6,4]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,3,6,4,5]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,3,6,5,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,4,3,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,4,3,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,2,4,5,3,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,4,5,6,3]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,4,6,3,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,2,4,6,5,3]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,5,3,4,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,5,3,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,2,5,4,3,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,5,4,6,3]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,5,6,3,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,2,5,6,4,3]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,6,3,4,5]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,2,6,3,5,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,6,4,3,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,6,4,5,3]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,6,5,3,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,2,6,5,4,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,3,2,4,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,3,2,4,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,2,5,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,2,5,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,2,6,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,2,6,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,3,4,2,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,3,4,2,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,4,5,2,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,3,4,5,6,2]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,3,4,6,2,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,4,6,5,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,3,5,2,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,5,2,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,5,4,2,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,3,5,4,6,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,3,5,6,2,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,5,6,4,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,3,6,2,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,3,6,2,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,3,6,4,2,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,3,6,4,5,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,3,6,5,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,3,6,5,4,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,4,2,3,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,4,2,3,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,4,2,5,3,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,4,2,5,6,3]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,4,2,6,3,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,4,2,6,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,4,3,2,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,4,3,2,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,4,3,5,2,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,4,3,5,6,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,4,3,6,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,4,3,6,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,4,5,2,3,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,4,5,2,6,3]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,4,5,3,2,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,4,5,3,6,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,4,5,6,2,3]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,4,5,6,3,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,4,6,2,3,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,4,6,2,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,4,6,3,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,4,6,3,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,4,6,5,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,4,6,5,3,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,5,2,3,4,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,5,2,3,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,5,2,4,3,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,5,2,4,6,3]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,5,2,6,3,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,5,2,6,4,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,3,2,4,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,5,3,2,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,3,4,2,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,5,3,4,6,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,5,3,6,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,3,6,4,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,4,2,3,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,5,4,2,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,4,3,2,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,5,4,3,6,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,5,4,6,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,4,6,3,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,5,6,2,3,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [1,5,6,2,4,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,6,3,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,6,3,4,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,6,4,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,5,6,4,3,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,2,3,4,5]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [1,6,2,3,5,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,2,4,3,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,2,4,5,3]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,2,5,3,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,2,5,4,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,3,2,4,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,3,2,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,6,3,4,2,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,3,4,5,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,3,5,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,6,3,5,4,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,4,2,3,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,4,2,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,6,4,3,2,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,4,3,5,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,4,5,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [1,6,4,5,3,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,5,2,3,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [1,6,5,2,4,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,5,3,2,4]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,5,3,4,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,5,4,2,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [1,6,5,4,3,2]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [2,1,3,4,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [2,1,3,4,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,3,5,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,3,5,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,3,6,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,3,6,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,4,3,5,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,4,3,6,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,1,4,5,3,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,4,5,6,3]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,4,6,3,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,1,4,6,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,5,3,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,5,3,6,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,1,5,4,3,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,5,4,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,5,6,3,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,1,5,6,4,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,6,3,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,1,6,3,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,6,4,3,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,6,4,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,6,5,3,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,1,6,5,4,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [2,3,1,4,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [2,3,1,4,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,1,5,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,1,5,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,1,6,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,1,6,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,3,4,1,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [2,3,4,1,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,4,5,1,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [2,3,4,5,6,1]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [2,3,4,6,1,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,4,6,5,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,3,5,1,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,5,1,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,5,4,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,3,5,4,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,3,5,6,1,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,5,6,4,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,3,6,1,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,3,6,1,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,3,6,4,1,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,3,6,4,5,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,3,6,5,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,3,6,5,4,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,4,1,3,5,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,4,1,3,6,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,4,1,5,3,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,4,1,5,6,3]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,4,1,6,3,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,4,1,6,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,4,3,1,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,4,3,1,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,4,3,5,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,4,3,5,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,4,3,6,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,4,3,6,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,4,5,1,3,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,4,5,1,6,3]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,4,5,3,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,4,5,3,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,4,5,6,1,3]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,4,5,6,3,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,4,6,1,3,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,4,6,1,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,4,6,3,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,4,6,3,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,4,6,5,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,4,6,5,3,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,5,1,3,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,5,1,3,6,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,5,1,4,3,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,1,4,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,1,6,3,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,5,1,6,4,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,3,1,4,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,5,3,1,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,3,4,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,5,3,4,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,5,3,6,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,3,6,4,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,4,1,3,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,4,1,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,4,3,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,5,4,3,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,5,4,6,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,4,6,3,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,5,6,1,3,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [2,5,6,1,4,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,6,3,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,6,3,4,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,6,4,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,5,6,4,3,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,6,1,3,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [2,6,1,3,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,1,4,3,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,1,4,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,1,5,3,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,1,5,4,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [2,6,3,1,4,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,6,3,1,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,3,4,1,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,6,3,4,5,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [2,6,3,5,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,3,5,4,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,6,4,1,3,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,4,1,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,4,3,1,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,6,4,3,5,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,6,4,5,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,4,5,3,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,6,5,1,3,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [2,6,5,1,4,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [2,6,5,3,1,4]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,6,5,3,4,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [2,6,5,4,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [2,6,5,4,3,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [3,1,2,4,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [3,1,2,4,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,2,5,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,2,5,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,2,6,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,2,6,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,4,2,5,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,4,2,6,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,1,4,5,2,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,4,5,6,2]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,4,6,2,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,1,4,6,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,5,2,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,5,2,6,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,1,5,4,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,5,4,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,5,6,2,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,1,5,6,4,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,6,2,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,1,6,2,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,6,4,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,6,4,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,6,5,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,1,6,5,4,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [3,2,1,4,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,2,1,4,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,1,5,4,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,1,5,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,1,6,4,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,1,6,5,4]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [3,2,4,1,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,2,4,1,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,4,5,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,2,4,5,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,2,4,6,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,4,6,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,5,1,4,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,5,1,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,5,4,1,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,5,4,6,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,5,6,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,5,6,4,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,6,1,4,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,6,1,5,4]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [3,2,6,4,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,6,4,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,2,6,5,1,4]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [3,2,6,5,4,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [3,4,1,2,5,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,4,1,2,6,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,4,1,5,2,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,4,1,5,6,2]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,4,1,6,2,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,4,1,6,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,4,2,1,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,4,2,1,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,4,2,5,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,4,2,5,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,4,2,6,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,4,2,6,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,4,5,1,2,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,4,5,1,6,2]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,4,5,2,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,4,5,2,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,4,5,6,1,2]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,4,5,6,2,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [3,4,6,1,2,5]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,4,6,1,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,4,6,2,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,4,6,2,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,4,6,5,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,4,6,5,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [3,5,1,2,4,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,5,1,2,6,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,5,1,4,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,1,4,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,1,6,2,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,5,1,6,4,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,2,1,4,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,2,1,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,2,4,1,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,2,4,6,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,2,6,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,2,6,4,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,4,1,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,4,1,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,4,2,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [3,5,4,2,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [3,5,4,6,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,4,6,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [3,5,6,1,2,4]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [3,5,6,1,4,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,6,2,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,6,2,4,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,6,4,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,5,6,4,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [3,6,1,2,4,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [3,6,1,2,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,1,4,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,1,4,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,1,5,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,1,5,4,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [3,6,2,1,4,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,2,1,5,4]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [3,6,2,4,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,2,4,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,2,5,1,4]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [3,6,2,5,4,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [3,6,4,1,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,4,1,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,4,2,1,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [3,6,4,2,5,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [3,6,4,5,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,4,5,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [3,6,5,1,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [3,6,5,1,4,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [3,6,5,2,1,4]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [3,6,5,2,4,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [3,6,5,4,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [3,6,5,4,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [4,1,2,3,5,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [4,1,2,3,6,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [4,1,2,5,3,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [4,1,2,5,6,3]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [4,1,2,6,3,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [4,1,2,6,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,3,2,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [4,1,3,2,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,3,5,2,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [4,1,3,5,6,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [4,1,3,6,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,3,6,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,5,2,3,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [4,1,5,2,6,3]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [4,1,5,3,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,5,3,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,5,6,2,3]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [4,1,5,6,3,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,6,2,3,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [4,1,6,2,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,6,3,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,6,3,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,6,5,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,1,6,5,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,2,1,3,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [4,2,1,3,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,1,5,3,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,1,5,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,1,6,3,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,1,6,5,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,2,3,1,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [4,2,3,1,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,3,5,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [4,2,3,5,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [4,2,3,6,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,3,6,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,5,1,3,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,5,1,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,5,3,1,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,5,3,6,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,5,6,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,5,6,3,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,6,1,3,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,6,1,5,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,2,6,3,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,6,3,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,2,6,5,1,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,2,6,5,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,3,1,2,5,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [4,3,1,2,6,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,3,1,5,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,3,1,5,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,3,1,6,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,3,1,6,5,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,3,2,1,5,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,3,2,1,6,5]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,3,2,5,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,3,2,5,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,3,2,6,1,5]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,3,2,6,5,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,3,5,1,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,3,5,1,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,3,5,2,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,3,5,2,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,3,5,6,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,3,5,6,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,3,6,1,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,3,6,1,5,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,3,6,2,1,5]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,3,6,2,5,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,3,6,5,1,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,3,6,5,2,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,5,1,2,3,6]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [4,5,1,2,6,3]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [4,5,1,3,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,1,3,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,1,6,2,3]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [4,5,1,6,3,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,2,1,3,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,2,1,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,2,3,1,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,2,3,6,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,2,6,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,2,6,3,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,3,1,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,3,1,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,3,2,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,5,3,2,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,5,3,6,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,3,6,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,5,6,1,2,3]=>[3,3]=>[[1,2,3],[4,5,6]]=>00100 [4,5,6,1,3,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,6,2,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,6,2,3,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,6,3,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,5,6,3,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [4,6,1,2,3,5]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [4,6,1,2,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,1,3,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,1,3,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,1,5,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,1,5,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,2,1,3,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,2,1,5,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,6,2,3,1,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,2,3,5,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,2,5,1,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,6,2,5,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,3,1,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,3,1,5,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,6,3,2,1,5]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,3,2,5,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,3,5,1,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [4,6,3,5,2,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,5,1,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [4,6,5,1,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,5,2,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,5,2,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,5,3,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [4,6,5,3,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [5,1,2,3,4,6]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [5,1,2,3,6,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [5,1,2,4,3,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,1,2,4,6,3]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,1,2,6,3,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [5,1,2,6,4,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,3,2,4,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,1,3,2,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,3,4,2,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,1,3,4,6,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,1,3,6,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,3,6,4,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,4,2,3,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,1,4,2,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,4,3,2,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,1,4,3,6,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,1,4,6,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,4,6,3,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,1,6,2,3,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [5,1,6,2,4,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,6,3,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,6,3,4,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,6,4,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,1,6,4,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,2,1,3,4,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,2,1,3,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,1,4,3,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,1,4,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,1,6,3,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,1,6,4,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,2,3,1,4,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,2,3,1,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,3,4,1,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,2,3,4,6,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,2,3,6,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,3,6,4,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,4,1,3,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,4,1,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,4,3,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,2,4,3,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,2,4,6,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,4,6,3,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,2,6,1,3,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,6,1,4,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,2,6,3,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,6,3,4,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,2,6,4,1,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,2,6,4,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,3,1,2,4,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,3,1,2,6,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,3,1,4,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,3,1,4,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,3,1,6,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,3,1,6,4,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,3,2,1,4,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,3,2,1,6,4]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,3,2,4,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,3,2,4,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,3,2,6,1,4]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,3,2,6,4,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,3,4,1,2,6]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,3,4,1,6,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,3,4,2,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,3,4,2,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,3,4,6,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,3,4,6,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,3,6,1,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,3,6,1,4,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,3,6,2,1,4]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,3,6,2,4,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,3,6,4,1,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,3,6,4,2,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,1,2,3,6]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [5,4,1,2,6,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,4,1,3,2,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,4,1,3,6,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,4,1,6,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,4,1,6,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,2,1,3,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,4,2,1,6,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,2,3,1,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,4,2,3,6,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,4,2,6,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,2,6,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,3,1,2,6]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [5,4,3,1,6,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,3,2,1,6]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [5,4,3,2,6,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [5,4,3,6,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,3,6,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [5,4,6,1,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,4,6,1,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,6,2,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,6,2,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,6,3,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,4,6,3,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [5,6,1,2,3,4]=>[4,2]=>[[1,2,5,6],[3,4]]=>01000 [5,6,1,2,4,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,1,3,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,1,3,4,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,1,4,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,1,4,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,2,1,3,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,2,1,4,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,6,2,3,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,2,3,4,1]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,2,4,1,3]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,6,2,4,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,3,1,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,3,1,4,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,6,3,2,1,4]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,3,2,4,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,3,4,1,2]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>01010 [5,6,3,4,2,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,4,1,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [5,6,4,1,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,4,2,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,4,2,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,4,3,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [5,6,4,3,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,1,2,3,4,5]=>[5,1]=>[[1,3,4,5,6],[2]]=>10000 [6,1,2,3,5,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,2,4,3,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,2,4,5,3]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,2,5,3,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,2,5,4,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,3,2,4,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,3,2,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,1,3,4,2,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,3,4,5,2]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,3,5,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,1,3,5,4,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,4,2,3,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,4,2,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,1,4,3,2,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,4,3,5,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,4,5,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,1,4,5,3,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,5,2,3,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,1,5,2,4,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,5,3,2,4]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,5,3,4,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,5,4,2,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,1,5,4,3,2]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,2,1,3,4,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,2,1,3,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,1,4,3,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,1,4,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,1,5,3,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,1,5,4,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,2,3,1,4,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,2,3,1,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,3,4,1,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,2,3,4,5,1]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,2,3,5,1,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,3,5,4,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,2,4,1,3,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,4,1,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,4,3,1,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,2,4,3,5,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,2,4,5,1,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,4,5,3,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,2,5,1,3,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,2,5,1,4,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,2,5,3,1,4]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,2,5,3,4,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,2,5,4,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,2,5,4,3,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,3,1,2,4,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,3,1,2,5,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,3,1,4,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,3,1,4,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,3,1,5,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,3,1,5,4,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,3,2,1,4,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,3,2,1,5,4]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,3,2,4,1,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,3,2,4,5,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,3,2,5,1,4]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,3,2,5,4,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,3,4,1,2,5]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,3,4,1,5,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,3,4,2,1,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,3,4,2,5,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,3,4,5,1,2]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,3,4,5,2,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,3,5,1,2,4]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,3,5,1,4,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,3,5,2,1,4]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,3,5,2,4,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,3,5,4,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,3,5,4,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,4,1,2,3,5]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,4,1,2,5,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,4,1,3,2,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,4,1,3,5,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,4,1,5,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,4,1,5,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,2,1,3,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,4,2,1,5,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,2,3,1,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,4,2,3,5,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,4,2,5,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,2,5,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,3,1,2,5]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,4,3,1,5,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,3,2,1,5]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,4,3,2,5,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,4,3,5,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,3,5,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,4,5,1,2,3]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>10100 [6,4,5,1,3,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,5,2,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,5,2,3,1]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,5,3,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,4,5,3,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,1,2,3,4]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>11000 [6,5,1,2,4,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,1,3,2,4]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,1,3,4,2]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,1,4,2,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,1,4,3,2]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,2,1,3,4]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,2,1,4,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,5,2,3,1,4]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,2,3,4,1]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,2,4,1,3]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,5,2,4,3,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,3,1,2,4]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,3,1,4,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,5,3,2,1,4]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,3,2,4,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,3,4,1,2]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>11010 [6,5,3,4,2,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,4,1,2,3]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>11100 [6,5,4,1,3,2]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,4,2,1,3]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,4,2,3,1]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,4,3,1,2]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>11110 [6,5,4,3,2,1]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>11111 [1,2,3,4,5,6,7]=>[7]=>[[1,2,3,4,5,6,7]]=>000000 [1,2,3,4,5,7,6]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,4,6,5,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,4,6,7,5]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,4,7,5,6]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,4,7,6,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,5,4,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,5,4,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,3,5,6,4,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,5,6,7,4]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,5,7,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,3,5,7,6,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,6,4,5,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,6,4,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,3,6,5,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,6,5,7,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,6,7,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,3,6,7,5,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,7,4,5,6]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,3,7,4,6,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,7,5,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,7,5,6,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,7,6,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,3,7,6,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,4,3,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,4,3,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,3,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,3,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,3,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,3,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,4,5,3,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,4,5,3,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,5,6,3,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,4,5,6,7,3]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,4,5,7,3,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,5,7,6,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,4,6,3,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,6,3,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,6,5,3,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,4,6,5,7,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,4,6,7,3,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,6,7,5,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,4,7,3,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,4,7,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,4,7,5,3,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,4,7,5,6,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,4,7,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,4,7,6,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,5,3,4,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,5,3,4,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,5,3,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,5,3,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,5,3,7,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,5,3,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,5,4,3,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,5,4,3,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,5,4,6,3,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,5,4,6,7,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,5,4,7,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,5,4,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,5,6,3,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,5,6,3,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,5,6,4,3,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,5,6,4,7,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,5,6,7,3,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,5,6,7,4,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,5,7,3,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,5,7,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,5,7,4,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,5,7,4,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,5,7,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,5,7,6,4,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,6,3,4,5,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,6,3,4,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,6,3,5,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,6,3,5,7,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,6,3,7,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,6,3,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,4,3,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,6,4,3,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,4,5,3,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,6,4,5,7,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,6,4,7,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,4,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,5,3,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,6,5,3,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,5,4,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,6,5,4,7,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,6,5,7,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,5,7,4,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,6,7,3,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,2,6,7,3,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,7,4,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,7,4,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,7,5,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,6,7,5,4,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,3,4,5,6]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,2,7,3,4,6,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,3,5,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,3,5,6,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,3,6,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,3,6,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,4,3,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,4,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,7,4,5,3,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,4,5,6,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,4,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,7,4,6,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,5,3,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,5,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,7,5,4,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,5,4,6,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,5,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,2,7,5,6,4,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,6,3,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,2,7,6,3,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,6,4,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,6,4,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,6,5,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,2,7,6,5,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,3,2,4,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,3,2,4,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,4,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,4,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,4,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,4,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,5,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,5,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,2,5,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,5,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,5,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,2,5,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,6,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,6,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,2,6,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,6,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,6,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,2,6,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,7,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,2,7,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,7,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,7,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,7,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,2,7,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,3,4,2,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,3,4,2,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,2,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,2,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,2,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,2,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,4,5,2,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,3,4,5,2,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,5,6,2,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,3,4,5,6,7,2]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,3,4,5,7,2,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,5,7,6,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,4,6,2,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,6,2,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,6,5,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,4,6,5,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,4,6,7,2,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,6,7,5,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,4,7,2,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,4,7,2,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,4,7,5,2,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,4,7,5,6,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,4,7,6,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,4,7,6,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,5,2,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,5,2,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,5,2,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,5,2,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,5,2,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,5,2,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,5,4,2,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,5,4,2,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,5,4,6,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,5,4,6,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,5,4,7,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,5,4,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,5,6,2,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,5,6,2,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,5,6,4,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,5,6,4,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,5,6,7,2,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,5,6,7,4,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,5,7,2,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,5,7,2,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,5,7,4,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,5,7,4,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,5,7,6,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,5,7,6,4,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,6,2,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,6,2,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,6,2,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,2,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,2,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,6,2,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,4,2,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,6,4,2,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,4,5,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,6,4,5,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,6,4,7,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,4,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,5,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,5,2,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,5,4,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,6,5,4,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,6,5,7,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,5,7,4,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,6,7,2,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,3,6,7,2,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,7,4,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,7,4,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,7,5,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,6,7,5,4,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,7,2,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,3,7,2,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,2,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,2,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,2,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,2,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,3,7,4,2,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,7,4,2,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,4,5,2,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,7,4,5,6,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,3,7,4,6,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,4,6,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,7,5,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,5,2,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,5,4,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,7,5,4,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,7,5,6,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,5,6,4,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,7,6,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,3,7,6,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,3,7,6,4,2,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,7,6,4,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,3,7,6,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,3,7,6,5,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,4,2,3,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,4,2,3,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,3,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,3,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,3,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,3,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,5,3,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,5,3,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,2,5,6,3,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,5,6,7,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,5,7,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,2,5,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,6,3,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,6,3,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,2,6,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,6,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,6,7,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,2,6,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,7,3,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,2,7,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,7,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,7,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,7,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,2,7,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,4,3,2,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,3,2,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,2,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,2,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,2,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,2,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,4,3,5,2,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,3,5,2,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,5,6,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,3,5,6,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,3,5,7,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,5,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,6,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,6,2,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,6,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,6,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,6,7,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,6,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,7,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,7,2,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,4,3,7,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,7,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,3,7,6,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,4,3,7,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,4,5,2,3,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,5,2,3,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,5,2,6,3,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,5,2,6,7,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,5,2,7,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,5,2,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,5,3,2,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,5,3,2,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,5,3,6,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,5,3,6,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,5,3,7,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,5,3,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,5,6,2,3,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,5,6,2,7,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,5,6,3,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,5,6,3,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,5,6,7,2,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,5,6,7,3,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,4,5,7,2,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,5,7,2,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,5,7,3,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,5,7,3,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,5,7,6,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,5,7,6,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,4,6,2,3,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,6,2,3,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,6,2,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,2,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,2,7,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,6,2,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,3,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,3,2,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,3,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,3,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,3,7,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,3,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,5,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,5,2,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,5,3,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,4,6,5,3,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,4,6,5,7,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,5,7,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,4,6,7,2,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,4,6,7,2,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,7,3,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,7,3,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,7,5,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,6,7,5,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,4,7,2,3,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,4,7,2,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,2,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,2,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,2,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,2,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,4,7,3,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,3,2,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,4,7,3,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,3,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,3,6,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,4,7,3,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,4,7,5,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,5,2,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,5,3,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,4,7,5,3,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,4,7,5,6,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,5,6,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,4,7,6,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,4,7,6,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,4,7,6,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,4,7,6,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,4,7,6,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,4,7,6,5,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,5,2,3,4,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,5,2,3,4,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,5,2,3,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,5,2,3,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,5,2,3,7,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,5,2,3,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,4,3,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,5,2,4,3,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,4,6,3,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,5,2,4,6,7,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,5,2,4,7,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,4,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,6,3,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,5,2,6,3,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,5,2,6,4,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,6,4,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,6,7,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,5,2,6,7,4,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,7,3,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,5,2,7,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,7,4,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,7,4,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,7,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,2,7,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,3,2,4,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,5,3,2,4,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,2,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,2,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,2,7,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,2,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,3,4,2,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,5,3,4,2,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,4,6,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,5,3,4,6,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,5,3,4,7,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,4,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,6,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,6,2,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,6,4,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,6,4,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,6,7,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,6,7,4,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,7,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,7,2,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,3,7,4,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,7,4,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,3,7,6,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,3,7,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,4,2,3,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,5,4,2,3,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,4,2,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,4,2,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,4,2,7,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,4,2,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,4,3,2,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,4,3,2,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,4,3,6,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,4,3,6,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,4,3,7,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,4,3,7,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,4,6,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,4,6,2,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,4,6,3,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,4,6,3,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,4,6,7,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,4,6,7,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,4,7,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,4,7,2,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,4,7,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,4,7,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,4,7,6,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,4,7,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,6,2,3,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,5,6,2,3,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,5,6,2,4,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,2,4,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,2,7,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,5,6,2,7,4,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,3,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,3,2,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,3,4,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,3,4,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,3,7,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,3,7,4,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,4,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,4,2,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,4,3,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,6,4,3,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,6,4,7,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,4,7,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,6,7,2,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [1,5,6,7,2,4,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,7,3,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,7,3,4,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,7,4,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,6,7,4,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,5,7,2,3,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,5,7,2,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,2,4,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,2,4,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,2,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,2,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,3,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,3,2,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,7,3,4,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,3,4,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,3,6,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,7,3,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,4,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,4,2,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,7,4,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,4,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,4,6,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,5,7,4,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,6,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,5,7,6,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,6,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,6,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,6,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,5,7,6,4,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,6,2,3,4,5,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,6,2,3,4,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,6,2,3,5,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,2,3,5,7,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,2,3,7,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,6,2,3,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,4,3,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,2,4,3,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,4,5,3,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,2,4,5,7,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,2,4,7,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,4,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,5,3,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,2,5,3,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,5,4,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,2,5,4,7,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,2,5,7,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,5,7,4,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,2,7,3,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,6,2,7,3,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,7,4,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,7,4,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,7,5,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,2,7,5,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,3,2,4,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,3,2,4,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,2,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,2,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,2,7,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,2,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,3,4,2,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,3,4,2,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,4,5,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,3,4,5,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,3,4,7,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,4,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,5,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,5,2,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,5,4,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,3,5,4,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,3,5,7,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,5,7,4,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,3,7,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,7,2,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,3,7,4,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,7,4,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,3,7,5,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,3,7,5,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,4,2,3,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,4,2,3,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,4,2,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,4,2,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,4,2,7,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,4,2,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,4,3,2,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,4,3,2,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,4,3,5,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,4,3,5,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,4,3,7,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,4,3,7,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,4,5,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,4,5,2,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,4,5,3,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,4,5,3,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,4,5,7,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,4,5,7,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,4,7,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,4,7,2,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,4,7,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,4,7,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,4,7,5,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,4,7,5,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,2,3,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,6,5,2,3,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,5,2,4,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,5,2,4,7,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,5,2,7,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,5,2,7,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,3,2,4,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,5,3,2,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,3,4,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,5,3,4,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,5,3,7,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,3,7,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,4,2,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,6,5,4,2,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,4,3,2,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,6,5,4,3,7,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,6,5,4,7,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,4,7,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,6,5,7,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,5,7,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,7,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,7,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,7,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,5,7,4,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,6,7,2,3,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [1,6,7,2,3,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,2,4,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,2,4,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,2,5,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,2,5,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,3,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,3,2,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,7,3,4,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,3,4,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,3,5,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,7,3,5,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,4,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,4,2,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,7,4,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,4,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,4,5,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [1,6,7,4,5,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,5,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,6,7,5,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,5,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,5,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,5,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,6,7,5,4,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,2,3,4,5,6]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [1,7,2,3,4,6,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,3,5,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,3,5,6,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,3,6,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,3,6,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,4,3,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,4,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,2,4,5,3,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,4,5,6,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,4,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,2,4,6,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,5,3,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,5,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,2,5,4,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,5,4,6,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,5,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,2,5,6,4,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,6,3,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,2,6,3,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,6,4,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,6,4,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,6,5,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,2,6,5,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,3,2,4,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,3,2,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,2,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,2,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,2,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,2,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,3,4,2,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,3,4,2,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,4,5,2,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,3,4,5,6,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,3,4,6,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,4,6,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,3,5,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,5,2,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,5,4,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,3,5,4,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,3,5,6,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,5,6,4,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,3,6,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,3,6,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,3,6,4,2,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,3,6,4,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,3,6,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,3,6,5,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,4,2,3,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,4,2,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,4,2,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,4,2,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,4,2,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,4,2,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,4,3,2,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,4,3,2,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,4,3,5,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,4,3,5,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,4,3,6,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,4,3,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,4,5,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,4,5,2,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,4,5,3,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,4,5,3,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,4,5,6,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,4,5,6,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,4,6,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,4,6,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,4,6,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,4,6,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,4,6,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,4,6,5,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,5,2,3,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,5,2,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,5,2,4,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,5,2,4,6,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,5,2,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,5,2,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,3,2,4,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,5,3,2,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,3,4,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,5,3,4,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,5,3,6,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,3,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,4,2,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,5,4,2,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,4,3,2,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,5,4,3,6,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,5,4,6,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,4,6,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,5,6,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [1,7,5,6,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,6,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,6,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,6,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,5,6,4,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,2,3,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [1,7,6,2,3,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,2,4,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,2,4,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,2,5,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,2,5,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,3,2,4,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,3,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,6,3,4,2,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,3,4,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,3,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,6,3,5,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,4,2,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,4,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,6,4,3,2,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,4,3,5,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,4,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [1,7,6,4,5,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,5,2,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [1,7,6,5,2,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,5,3,2,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,5,3,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,5,4,2,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [1,7,6,5,4,3,2]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [2,1,3,4,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [2,1,3,4,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,4,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,4,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,4,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,4,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,5,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,5,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,3,5,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,5,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,5,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,3,5,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,6,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,6,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,3,6,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,6,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,6,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,3,6,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,7,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,3,7,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,7,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,7,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,7,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,3,7,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,4,3,5,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,4,3,5,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,3,6,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,3,6,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,3,7,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,3,7,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,4,5,3,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,4,5,3,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,5,6,3,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,4,5,6,7,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,4,5,7,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,5,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,4,6,3,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,6,3,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,6,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,4,6,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,4,6,7,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,6,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,4,7,3,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,4,7,3,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,4,7,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,4,7,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,4,7,6,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,4,7,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,5,3,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,5,3,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,5,3,6,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,5,3,6,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,5,3,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,5,3,7,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,5,4,3,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,5,4,3,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,5,4,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,5,4,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,5,4,7,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,5,4,7,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,5,6,3,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,5,6,3,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,5,6,4,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,5,6,4,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,5,6,7,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,5,6,7,4,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,5,7,3,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,5,7,3,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,5,7,4,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,5,7,4,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,5,7,6,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,5,7,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,6,3,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,6,3,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,6,3,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,6,3,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,6,3,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,6,3,7,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,4,3,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,6,4,3,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,4,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,6,4,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,6,4,7,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,4,7,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,5,3,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,6,5,3,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,5,4,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,6,5,4,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,6,5,7,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,5,7,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,6,7,3,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,1,6,7,3,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,7,4,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,7,4,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,7,5,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,6,7,5,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,3,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,1,7,3,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,3,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,3,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,3,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,3,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,4,3,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,4,3,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,7,4,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,4,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,4,6,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,7,4,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,5,3,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,5,3,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,7,5,4,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,5,4,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,5,6,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,1,7,5,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,6,3,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,1,7,6,3,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,6,4,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,6,4,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,6,5,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,1,7,6,5,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [2,3,1,4,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [2,3,1,4,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,4,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,4,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,4,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,4,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,5,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,5,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,1,5,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,5,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,5,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,1,5,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,6,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,6,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,1,6,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,6,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,6,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,1,6,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,7,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,1,7,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,7,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,7,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,7,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,1,7,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,3,4,1,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [2,3,4,1,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,1,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,1,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,1,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,1,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,4,5,1,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [2,3,4,5,1,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,5,6,1,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [2,3,4,5,6,7,1]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [2,3,4,5,7,1,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,5,7,6,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,4,6,1,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,6,1,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,6,5,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,4,6,5,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,4,6,7,1,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,6,7,5,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,4,7,1,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,4,7,1,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,4,7,5,1,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,4,7,5,6,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,4,7,6,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,4,7,6,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,5,1,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,5,1,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,5,1,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,5,1,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,5,1,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,5,1,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,5,4,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,5,4,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,5,4,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,5,4,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,5,4,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,5,4,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,5,6,1,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,5,6,1,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,5,6,4,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,5,6,4,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,5,6,7,1,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,5,6,7,4,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,5,7,1,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,5,7,1,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,5,7,4,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,5,7,4,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,5,7,6,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,5,7,6,4,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,6,1,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,6,1,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,6,1,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,1,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,1,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,6,1,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,4,1,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,6,4,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,4,5,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,6,4,5,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,6,4,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,4,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,5,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,5,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,5,4,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,6,5,4,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,6,5,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,5,7,4,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,6,7,1,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,3,6,7,1,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,7,4,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,7,4,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,7,5,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,6,7,5,4,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,7,1,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,3,7,1,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,1,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,1,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,1,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,1,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,3,7,4,1,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,7,4,1,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,4,5,1,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,7,4,5,6,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,3,7,4,6,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,4,6,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,7,5,1,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,5,1,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,5,4,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,7,5,4,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,7,5,6,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,5,6,4,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,7,6,1,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,3,7,6,1,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,3,7,6,4,1,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,7,6,4,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,3,7,6,5,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,3,7,6,5,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,4,1,3,5,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,1,3,5,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,3,6,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,3,6,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,3,7,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,3,7,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,4,1,5,3,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,1,5,3,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,5,6,3,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,1,5,6,7,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,1,5,7,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,5,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,1,6,3,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,6,3,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,6,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,1,6,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,1,6,7,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,6,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,1,7,3,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,1,7,3,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,4,1,7,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,1,7,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,1,7,6,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,4,1,7,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,4,3,1,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,3,1,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,1,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,1,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,1,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,1,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,4,3,5,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,3,5,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,5,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,3,5,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,3,5,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,5,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,6,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,6,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,6,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,6,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,6,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,6,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,7,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,7,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,4,3,7,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,7,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,3,7,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,4,3,7,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,4,5,1,3,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,5,1,3,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,5,1,6,3,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,5,1,6,7,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,5,1,7,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,5,1,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,5,3,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,5,3,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,5,3,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,5,3,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,5,3,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,5,3,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,5,6,1,3,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,5,6,1,7,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,5,6,3,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,5,6,3,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,5,6,7,1,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,4,5,6,7,3,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,4,5,7,1,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,5,7,1,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,5,7,3,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,5,7,3,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,5,7,6,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,5,7,6,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,4,6,1,3,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,6,1,3,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,6,1,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,1,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,1,7,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,6,1,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,3,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,3,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,3,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,3,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,3,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,3,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,5,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,5,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,5,3,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,4,6,5,3,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,4,6,5,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,5,7,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,4,6,7,1,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,6,7,1,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,7,3,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,7,3,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,7,5,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,6,7,5,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,4,7,1,3,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,4,7,1,3,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,4,7,1,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,7,1,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,7,1,6,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,4,7,1,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,4,7,3,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,7,3,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,4,7,3,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,7,3,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,7,3,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,4,7,3,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,4,7,5,1,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,7,5,1,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,7,5,3,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,4,7,5,3,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,4,7,5,6,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,4,7,5,6,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,4,7,6,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,4,7,6,1,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,4,7,6,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,4,7,6,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,4,7,6,5,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,4,7,6,5,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,5,1,3,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,5,1,3,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,1,3,6,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,1,3,6,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,1,3,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,1,3,7,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,1,4,3,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,1,4,3,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,1,4,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,1,4,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,1,4,7,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,1,4,7,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,1,6,3,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,1,6,3,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,1,6,4,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,1,6,4,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,1,6,7,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,1,6,7,4,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,1,7,3,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,1,7,3,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,1,7,4,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,1,7,4,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,1,7,6,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,1,7,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,3,1,4,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,5,3,1,4,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,1,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,1,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,1,7,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,1,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,3,4,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,5,3,4,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,4,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,5,3,4,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,5,3,4,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,4,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,6,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,6,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,6,4,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,6,4,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,6,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,6,7,4,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,7,1,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,7,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,3,7,4,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,7,4,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,3,7,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,3,7,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,4,1,3,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,4,1,3,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,4,1,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,4,1,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,4,1,7,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,4,1,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,4,3,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,4,3,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,4,3,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,4,3,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,4,3,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,4,3,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,4,6,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,4,6,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,4,6,3,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,4,6,3,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,4,6,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,4,6,7,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,4,7,1,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,4,7,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,4,7,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,4,7,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,4,7,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,4,7,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,6,1,3,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,6,1,3,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,6,1,4,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,1,4,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,1,7,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,6,1,7,4,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,3,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,3,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,3,4,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,3,4,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,3,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,3,7,4,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,4,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,4,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,4,3,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,6,4,3,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,6,4,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,4,7,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,6,7,1,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,6,7,1,4,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,7,3,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,7,3,4,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,7,4,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,6,7,4,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,5,7,1,3,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,5,7,1,3,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,7,1,4,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,7,1,4,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,7,1,6,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,7,1,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,3,1,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,7,3,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,7,3,4,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,7,3,4,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,5,7,3,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,7,3,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,4,1,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,7,4,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,7,4,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,4,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,4,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,5,7,4,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,6,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,5,7,6,1,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,6,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,6,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,6,4,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,5,7,6,4,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,6,1,3,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,6,1,3,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,6,1,3,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,1,3,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,1,3,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,6,1,3,7,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,4,3,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,1,4,3,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,4,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,1,4,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,1,4,7,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,4,7,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,5,3,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,1,5,3,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,5,4,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,1,5,4,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,1,5,7,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,5,7,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,1,7,3,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,6,1,7,3,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,7,4,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,7,4,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,7,5,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,1,7,5,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,3,1,4,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,6,3,1,4,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,1,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,1,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,1,7,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,1,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,3,4,1,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,6,3,4,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,4,5,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,6,3,4,5,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,6,3,4,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,4,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,5,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,5,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,5,4,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,3,5,4,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,3,5,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,5,7,4,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,3,7,1,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,7,1,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,3,7,4,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,7,4,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,3,7,5,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,3,7,5,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,4,1,3,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,4,1,3,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,4,1,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,4,1,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,4,1,7,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,4,1,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,4,3,1,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,4,3,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,4,3,5,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,4,3,5,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,4,3,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,4,3,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,4,5,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,4,5,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,4,5,3,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,4,5,3,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,4,5,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,4,5,7,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,4,7,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,4,7,1,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,4,7,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,4,7,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,4,7,5,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,4,7,5,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,1,3,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,5,1,3,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,5,1,4,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,1,4,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,1,7,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,5,1,7,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,3,1,4,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,5,3,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,3,4,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,5,3,4,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,6,5,3,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,3,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,4,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,4,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,4,3,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,6,5,4,3,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,6,5,4,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,4,7,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,6,5,7,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,5,7,1,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,7,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,7,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,7,4,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,5,7,4,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,6,7,1,3,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [2,6,7,1,3,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,7,1,4,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,7,1,4,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,7,1,5,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,7,1,5,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,3,1,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,7,3,1,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,7,3,4,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,7,3,4,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,6,7,3,5,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,7,3,5,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,4,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,7,4,1,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,7,4,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,4,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,4,5,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [2,6,7,4,5,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,5,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,6,7,5,1,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,5,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,5,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,5,4,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,6,7,5,4,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,1,3,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [2,7,1,3,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,3,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,3,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,3,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,3,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,4,3,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,4,3,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,1,4,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,4,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,4,6,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,1,4,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,5,3,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,5,3,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,1,5,4,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,5,4,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,5,6,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,1,5,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,6,3,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,1,6,3,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,6,4,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,6,4,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,6,5,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,1,6,5,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [2,7,3,1,4,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,7,3,1,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,1,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,1,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,1,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,1,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,3,4,1,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,7,3,4,1,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,4,5,1,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,7,3,4,5,6,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [2,7,3,4,6,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,4,6,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,3,5,1,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,5,1,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,5,4,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,3,5,4,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,3,5,6,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,5,6,4,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,3,6,1,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,3,6,1,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,3,6,4,1,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,3,6,4,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,3,6,5,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,3,6,5,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,4,1,3,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,4,1,3,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,4,1,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,4,1,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,4,1,6,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,4,1,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,4,3,1,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,4,3,1,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,4,3,5,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,4,3,5,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,4,3,6,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,4,3,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,4,5,1,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,4,5,1,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,4,5,3,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,4,5,3,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,4,5,6,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,4,5,6,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,4,6,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,4,6,1,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,4,6,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,4,6,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,4,6,5,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,4,6,5,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,5,1,3,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,5,1,3,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,5,1,4,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,1,4,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,1,6,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,5,1,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,3,1,4,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,5,3,1,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,3,4,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,5,3,4,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,5,3,6,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,3,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,4,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,4,1,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,4,3,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,5,4,3,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,5,4,6,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,4,6,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,5,6,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [2,7,5,6,1,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,6,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,6,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,6,4,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,5,6,4,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,6,1,3,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [2,7,6,1,3,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,1,4,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,1,4,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,1,5,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,1,5,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [2,7,6,3,1,4,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,6,3,1,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,3,4,1,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,6,3,4,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [2,7,6,3,5,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,3,5,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,6,4,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,4,1,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,4,3,1,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,6,4,3,5,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,6,4,5,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,4,5,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,6,5,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [2,7,6,5,1,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [2,7,6,5,3,1,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,6,5,3,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [2,7,6,5,4,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [2,7,6,5,4,3,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [3,1,2,4,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [3,1,2,4,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,4,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,4,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,4,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,4,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,5,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,5,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,2,5,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,5,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,5,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,2,5,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,6,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,6,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,2,6,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,6,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,6,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,2,6,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,7,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,2,7,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,7,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,7,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,7,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,2,7,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,4,2,5,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,4,2,5,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,2,6,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,2,6,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,2,7,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,2,7,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,4,5,2,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,4,5,2,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,5,6,2,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,4,5,6,7,2]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,4,5,7,2,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,5,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,4,6,2,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,6,2,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,6,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,4,6,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,4,6,7,2,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,6,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,4,7,2,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,4,7,2,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,4,7,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,4,7,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,4,7,6,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,4,7,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,5,2,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,5,2,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,5,2,6,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,5,2,6,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,5,2,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,5,2,7,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,5,4,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,5,4,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,5,4,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,5,4,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,5,4,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,5,4,7,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,5,6,2,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,5,6,2,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,5,6,4,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,5,6,4,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,5,6,7,2,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,5,6,7,4,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,5,7,2,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,5,7,2,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,5,7,4,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,5,7,4,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,5,7,6,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,5,7,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,6,2,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,6,2,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,6,2,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,6,2,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,6,2,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,6,2,7,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,4,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,6,4,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,4,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,6,4,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,6,4,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,4,7,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,5,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,6,5,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,5,4,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,6,5,4,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,6,5,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,5,7,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,6,7,2,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,1,6,7,2,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,7,4,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,7,4,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,7,5,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,6,7,5,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,2,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,1,7,2,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,2,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,2,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,2,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,2,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,4,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,4,2,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,7,4,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,4,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,4,6,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,7,4,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,5,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,5,2,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,7,5,4,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,5,4,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,5,6,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,1,7,5,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,6,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,1,7,6,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,6,4,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,6,4,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,6,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,1,7,6,5,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,2,1,4,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,2,1,4,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,4,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,4,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,4,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,4,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,5,4,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,5,4,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,1,5,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,5,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,5,7,4,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,1,5,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,6,4,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,6,4,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,1,6,5,4,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,6,5,7,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,6,7,4,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,1,6,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,7,4,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,1,7,4,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,7,5,4,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,7,5,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,7,6,4,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,1,7,6,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,2,4,1,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,2,4,1,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,1,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,1,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,1,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,1,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,4,5,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,2,4,5,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,5,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,2,4,5,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,2,4,5,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,5,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,6,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,6,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,6,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,6,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,6,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,6,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,7,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,7,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,4,7,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,7,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,4,7,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,4,7,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,5,1,4,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,1,4,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,5,1,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,1,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,1,7,4,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,5,1,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,5,4,1,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,4,1,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,5,4,6,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,4,6,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,4,7,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,5,4,7,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,5,6,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,6,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,6,4,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,6,4,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,6,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,6,7,4,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,5,7,1,4,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,5,7,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,5,7,4,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,5,7,4,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,5,7,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,5,7,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,6,1,4,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,6,1,4,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,6,1,5,4,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,6,1,5,7,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,6,1,7,4,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,6,1,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,6,4,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,6,4,1,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,6,4,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,6,4,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,6,4,7,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,6,4,7,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,6,5,1,4,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,6,5,1,7,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,6,5,4,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,6,5,4,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,6,5,7,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,6,5,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,6,7,1,4,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,6,7,1,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,6,7,4,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,6,7,4,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,2,6,7,5,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,6,7,5,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,7,1,4,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,7,1,4,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,1,5,4,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,1,5,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,1,6,4,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,1,6,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,2,7,4,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,7,4,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,4,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,7,4,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,2,7,4,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,4,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,7,5,1,4,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,5,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,5,4,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,7,5,4,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,7,5,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,5,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,7,6,1,4,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,2,7,6,1,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,2,7,6,4,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,7,6,4,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,2,7,6,5,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,2,7,6,5,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,4,1,2,5,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,1,2,5,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,2,6,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,2,6,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,2,7,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,2,7,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,4,1,5,2,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,1,5,2,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,5,6,2,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,1,5,6,7,2]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,1,5,7,2,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,5,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,1,6,2,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,6,2,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,6,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,1,6,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,1,6,7,2,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,6,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,1,7,2,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,1,7,2,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,4,1,7,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,1,7,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,1,7,6,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,4,1,7,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,4,2,1,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,2,1,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,1,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,1,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,1,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,1,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,4,2,5,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,2,5,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,5,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,2,5,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,2,5,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,5,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,6,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,6,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,6,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,6,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,6,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,6,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,7,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,7,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,4,2,7,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,7,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,2,7,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,4,2,7,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,4,5,1,2,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,5,1,2,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,5,1,6,2,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,5,1,6,7,2]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,5,1,7,2,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,5,1,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,5,2,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,5,2,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,5,2,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,5,2,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,5,2,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,5,2,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,5,6,1,2,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,5,6,1,7,2]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,5,6,2,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,5,6,2,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,5,6,7,1,2]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,4,5,6,7,2,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [3,4,5,7,1,2,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,5,7,1,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,5,7,2,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,5,7,2,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,5,7,6,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,5,7,6,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,4,6,1,2,5,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,6,1,2,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,6,1,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,1,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,1,7,2,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,6,1,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,2,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,2,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,2,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,2,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,2,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,2,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,5,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,5,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,5,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,4,6,5,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,4,6,5,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,5,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,4,6,7,1,2,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,6,7,1,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,7,2,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,7,2,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,7,5,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,6,7,5,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,4,7,1,2,5,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,4,7,1,2,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,4,7,1,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,7,1,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,7,1,6,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,4,7,1,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,4,7,2,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,7,2,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,4,7,2,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,7,2,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,7,2,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,4,7,2,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,4,7,5,1,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,7,5,1,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,7,5,2,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,4,7,5,2,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,4,7,5,6,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,4,7,5,6,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,4,7,6,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,4,7,6,1,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,4,7,6,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,4,7,6,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,4,7,6,5,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,4,7,6,5,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,5,1,2,4,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,5,1,2,4,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,1,2,6,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,1,2,6,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,1,2,7,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,1,2,7,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,1,4,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,1,4,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,1,4,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,1,4,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,1,4,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,1,4,7,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,1,6,2,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,1,6,2,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,1,6,4,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,1,6,4,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,1,6,7,2,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,1,6,7,4,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,1,7,2,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,1,7,2,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,1,7,4,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,1,7,4,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,1,7,6,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,1,7,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,2,1,4,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,1,4,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,2,1,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,1,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,1,7,4,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,2,1,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,2,4,1,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,4,1,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,2,4,6,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,4,6,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,4,7,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,2,4,7,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,2,6,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,6,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,6,4,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,6,4,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,6,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,6,7,4,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,2,7,1,4,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,2,7,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,2,7,4,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,2,7,4,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,2,7,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,2,7,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,4,1,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,4,1,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,4,1,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,4,1,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,4,1,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,4,1,7,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,4,2,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,4,2,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,4,2,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,4,2,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,4,2,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,4,2,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,4,6,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,4,6,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,4,6,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,4,6,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,4,6,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,4,6,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,4,7,1,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,4,7,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,4,7,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,4,7,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,4,7,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,4,7,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,6,1,2,4,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,6,1,2,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,6,1,4,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,1,4,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,1,7,2,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,6,1,7,4,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,2,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,2,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,2,4,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,2,4,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,2,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,2,7,4,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,4,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,4,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,4,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,6,4,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,6,4,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,4,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,6,7,1,2,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,6,7,1,4,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,7,2,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,7,2,4,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,7,4,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,5,6,7,4,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,5,7,1,2,4,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,5,7,1,2,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,1,4,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,1,4,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,1,6,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,1,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,2,1,4,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,2,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,7,2,4,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,2,4,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,2,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,7,2,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,4,1,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,4,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,7,4,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,4,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,4,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,5,7,4,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,6,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,5,7,6,1,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,6,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,6,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,6,4,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,5,7,6,4,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,6,1,2,4,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,6,1,2,4,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,6,1,2,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,1,2,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,1,2,7,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,6,1,2,7,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,4,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,1,4,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,4,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,1,4,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,1,4,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,4,7,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,5,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,1,5,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,5,4,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,1,5,4,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,1,5,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,5,7,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,1,7,2,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,6,1,7,2,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,7,4,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,7,4,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,7,5,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,1,7,5,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,2,1,4,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,2,1,4,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,2,1,5,4,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,2,1,5,7,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,2,1,7,4,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,2,1,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,2,4,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,2,4,1,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,2,4,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,2,4,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,2,4,7,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,2,4,7,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,2,5,1,4,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,2,5,1,7,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,2,5,4,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,2,5,4,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,2,5,7,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,2,5,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,2,7,1,4,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,2,7,1,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,2,7,4,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,2,7,4,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,2,7,5,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,2,7,5,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,4,1,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,4,1,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,4,1,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,4,1,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,4,1,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,4,1,7,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,4,2,1,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,6,4,2,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,4,2,5,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,6,4,2,5,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,6,4,2,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,4,2,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,4,5,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,4,5,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,4,5,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,6,4,5,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,6,4,5,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,4,5,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,6,4,7,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,4,7,1,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,4,7,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,4,7,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,4,7,5,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,4,7,5,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,1,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,6,5,1,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,5,1,4,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,1,4,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,1,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,5,1,7,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,2,1,4,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,2,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,2,4,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,2,4,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,2,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,2,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,4,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,4,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,4,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,6,5,4,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,6,5,4,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,4,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,6,5,7,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,5,7,1,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,7,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,7,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,7,4,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,5,7,4,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,6,7,1,2,4,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [3,6,7,1,2,5,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,1,4,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,1,4,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,1,5,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,1,5,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,2,1,4,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,2,1,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,7,2,4,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,2,4,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,2,5,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,7,2,5,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,4,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,4,1,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,7,4,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,4,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,4,5,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,6,7,4,5,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,5,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,6,7,5,1,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,5,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,5,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,5,4,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,6,7,5,4,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,1,2,4,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [3,7,1,2,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,2,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,2,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,2,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,2,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,4,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,4,2,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,1,4,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,4,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,4,6,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,1,4,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,5,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,5,2,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,1,5,4,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,5,4,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,5,6,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,1,5,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,6,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,1,6,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,6,4,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,6,4,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,6,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,1,6,5,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,7,2,1,4,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,2,1,4,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,1,5,4,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,1,5,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,1,6,4,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,1,6,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,7,2,4,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,2,4,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,4,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,2,4,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,2,4,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,4,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,2,5,1,4,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,5,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,5,4,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,2,5,4,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,2,5,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,5,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,2,6,1,4,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [3,7,2,6,1,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,7,2,6,4,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,2,6,4,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,2,6,5,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,7,2,6,5,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,7,4,1,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,4,1,2,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,4,1,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,4,1,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,4,1,6,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,4,1,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,4,2,1,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,7,4,2,1,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,4,2,5,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,7,4,2,5,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,7,4,2,6,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,4,2,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,4,5,1,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,4,5,1,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,4,5,2,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,7,4,5,2,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,7,4,5,6,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,4,5,6,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [3,7,4,6,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,4,6,1,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,4,6,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,4,6,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,4,6,5,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,4,6,5,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,5,1,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,5,1,2,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,5,1,4,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,1,4,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,1,6,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,5,1,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,2,1,4,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,2,1,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,2,4,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,2,4,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,2,6,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,2,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,4,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,4,1,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,4,2,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,5,4,2,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,5,4,6,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,4,6,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,5,6,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [3,7,5,6,1,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,6,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,6,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,6,4,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,5,6,4,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,6,1,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [3,7,6,1,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,1,4,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,1,4,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,1,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,1,5,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,7,6,2,1,4,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,2,1,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,7,6,2,4,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,2,4,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,2,5,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [3,7,6,2,5,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,7,6,4,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,4,1,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,4,2,1,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,6,4,2,5,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,6,4,5,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,4,5,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [3,7,6,5,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [3,7,6,5,1,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,7,6,5,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,7,6,5,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,7,6,5,4,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [3,7,6,5,4,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [4,1,2,3,5,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [4,1,2,3,5,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,3,6,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,3,6,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,3,7,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,3,7,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,5,3,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,5,3,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,2,5,6,3,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,5,6,7,3]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,5,7,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,2,5,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,6,3,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,6,3,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,2,6,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,6,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,6,7,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,2,6,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,7,3,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,2,7,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,7,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,7,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,7,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,2,7,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,3,2,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,1,3,2,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,2,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,2,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,2,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,2,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,1,3,5,2,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,1,3,5,2,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,5,6,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,1,3,5,6,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,1,3,5,7,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,5,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,6,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,6,2,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,6,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,6,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,6,7,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,6,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,7,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,7,2,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,1,3,7,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,7,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,3,7,6,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,1,3,7,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,5,2,3,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,5,2,3,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,5,2,6,3,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,5,2,6,7,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,5,2,7,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,5,2,7,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,5,3,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,5,3,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,5,3,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,5,3,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,5,3,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,5,3,7,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,5,6,2,3,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,5,6,2,7,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,5,6,3,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,5,6,3,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,5,6,7,2,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,5,6,7,3,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,5,7,2,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,5,7,2,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,5,7,3,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,5,7,3,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,5,7,6,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,5,7,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,6,2,3,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,6,2,3,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,6,2,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,6,2,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,6,2,7,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,6,2,7,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,3,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,6,3,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,3,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,6,3,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,6,3,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,3,7,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,5,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,6,5,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,5,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,6,5,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,6,5,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,5,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,6,7,2,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,1,6,7,2,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,7,3,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,7,3,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,7,5,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,6,7,5,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,2,3,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,1,7,2,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,2,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,2,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,2,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,2,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,3,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,3,2,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,1,7,3,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,3,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,3,6,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,1,7,3,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,5,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,5,2,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,7,5,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,5,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,5,6,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,1,7,5,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,6,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,1,7,6,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,6,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,6,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,6,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,1,7,6,5,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,2,1,3,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,2,1,3,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,3,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,3,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,3,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,3,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,5,3,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,5,3,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,1,5,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,5,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,5,7,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,1,5,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,6,3,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,6,3,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,1,6,5,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,6,5,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,6,7,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,1,6,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,7,3,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,1,7,3,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,7,5,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,7,5,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,7,6,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,1,7,6,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,2,3,1,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,2,3,1,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,1,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,1,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,1,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,1,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,3,5,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,2,3,5,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,5,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,2,3,5,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,2,3,5,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,5,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,6,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,6,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,6,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,6,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,6,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,6,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,7,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,7,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,3,7,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,7,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,3,7,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,3,7,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,5,1,3,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,1,3,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,5,1,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,1,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,1,7,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,5,1,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,5,3,1,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,3,1,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,5,3,6,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,3,6,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,3,7,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,5,3,7,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,5,6,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,6,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,6,3,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,6,3,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,6,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,6,7,3,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,5,7,1,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,5,7,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,5,7,3,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,5,7,3,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,5,7,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,5,7,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,6,1,3,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,6,1,3,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,6,1,5,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,6,1,5,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,6,1,7,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,6,1,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,6,3,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,6,3,1,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,6,3,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,6,3,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,6,3,7,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,6,3,7,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,6,5,1,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,6,5,1,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,6,5,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,6,5,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,6,5,7,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,6,5,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,6,7,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,6,7,1,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,6,7,3,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,6,7,3,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,2,6,7,5,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,6,7,5,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,7,1,3,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,7,1,3,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,1,5,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,1,5,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,1,6,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,1,6,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,2,7,3,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,7,3,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,3,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,7,3,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,2,7,3,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,3,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,7,5,1,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,5,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,5,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,7,5,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,7,5,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,5,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,7,6,1,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,2,7,6,1,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,2,7,6,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,7,6,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,2,7,6,5,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,2,7,6,5,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,3,1,2,5,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [4,3,1,2,5,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,2,6,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,2,6,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,2,7,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,2,7,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,5,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,5,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,1,5,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,5,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,5,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,1,5,7,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,6,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,6,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,1,6,5,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,6,5,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,6,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,1,6,7,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,7,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,1,7,2,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,7,5,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,7,5,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,7,6,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,1,7,6,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,2,1,5,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,2,1,5,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,1,6,5,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,1,6,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,1,7,5,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,1,7,6,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,2,5,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,2,5,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,5,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,2,5,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,2,5,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,5,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,6,1,5,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,6,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,6,5,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,6,5,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,6,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,6,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,7,1,5,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,7,1,6,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,2,7,5,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,7,5,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,2,7,6,1,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,2,7,6,5,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,5,1,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,5,1,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,5,1,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,5,1,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,5,1,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,5,1,7,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,5,2,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,5,2,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,5,2,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,5,2,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,5,2,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,5,2,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,5,6,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,5,6,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,5,6,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,5,6,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,5,6,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,5,6,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,3,5,7,1,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,5,7,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,5,7,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,5,7,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,5,7,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,5,7,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,1,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,6,1,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,6,1,5,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,6,1,5,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,6,1,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,6,1,7,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,6,2,1,5,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,2,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,2,5,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,2,5,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,2,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,2,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,5,1,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,6,5,1,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,6,5,2,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,5,2,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,5,7,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,6,5,7,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,7,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,3,6,7,1,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,6,7,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,7,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,6,7,5,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,6,7,5,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,7,1,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,3,7,1,2,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,7,1,5,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,7,1,5,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,7,1,6,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,7,1,6,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,7,2,1,5,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,7,2,1,6,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,7,2,5,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,7,2,5,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,7,2,6,1,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,7,2,6,5,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,7,5,1,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,7,5,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,7,5,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,7,5,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,7,5,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,7,5,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,3,7,6,1,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,3,7,6,1,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,7,6,2,1,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,7,6,2,5,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,7,6,5,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,3,7,6,5,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,5,1,2,3,6,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,5,1,2,3,7,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,1,2,6,3,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,1,2,6,7,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,1,2,7,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,1,2,7,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,1,3,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,1,3,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,1,3,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,1,3,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,1,3,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,1,3,7,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,1,6,2,3,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,1,6,2,7,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,1,6,3,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,1,6,3,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,1,6,7,2,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,1,6,7,3,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,1,7,2,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,1,7,2,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,1,7,3,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,1,7,3,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,1,7,6,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,1,7,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,2,1,3,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,1,3,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,2,1,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,1,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,1,7,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,2,1,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,2,3,1,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,3,1,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,2,3,6,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,3,6,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,3,7,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,2,3,7,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,2,6,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,6,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,6,3,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,6,3,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,6,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,6,7,3,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,2,7,1,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,2,7,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,2,7,3,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,2,7,3,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,2,7,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,2,7,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,3,1,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,3,1,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,3,1,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,3,1,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,3,1,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,3,1,7,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,3,2,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,3,2,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,3,2,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,3,2,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,3,2,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,3,2,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,3,6,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,3,6,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,3,6,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,3,6,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,3,6,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,3,6,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,3,7,1,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,3,7,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,3,7,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,3,7,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,3,7,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,3,7,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,6,1,2,3,7]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,6,1,2,7,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,6,1,3,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,1,3,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,1,7,2,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,6,1,7,3,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,2,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,2,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,2,3,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,2,3,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,2,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,2,7,3,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,3,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,3,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,3,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,6,3,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,6,3,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,3,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,6,7,1,2,3]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,6,7,1,3,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,7,2,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,7,2,3,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,7,3,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,5,6,7,3,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [4,5,7,1,2,3,6]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,5,7,1,2,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,1,3,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,1,3,6,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,1,6,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,1,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,2,1,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,2,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,7,2,3,1,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,2,3,6,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,2,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,7,2,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,3,1,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,3,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,7,3,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,3,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,3,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,5,7,3,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,6,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,5,7,6,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,6,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,6,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,6,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,5,7,6,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,6,1,2,3,5,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,6,1,2,3,7,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,6,1,2,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,1,2,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,1,2,7,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,6,1,2,7,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,3,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,1,3,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,3,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,1,3,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,1,3,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,3,7,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,5,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,1,5,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,5,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,1,5,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,1,5,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,5,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,1,7,2,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,6,1,7,2,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,7,3,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,7,3,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,7,5,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,1,7,5,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,2,1,3,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,2,1,3,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,2,1,5,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,2,1,5,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,2,1,7,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,2,1,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,2,3,1,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,2,3,1,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,2,3,5,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,2,3,5,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,2,3,7,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,2,3,7,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,2,5,1,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,2,5,1,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,2,5,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,2,5,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,2,5,7,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,2,5,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,2,7,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,2,7,1,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,2,7,3,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,2,7,3,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,2,7,5,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,2,7,5,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,1,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,3,1,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,3,1,5,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,3,1,5,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,3,1,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,3,1,7,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,3,2,1,5,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,2,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,2,5,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,2,5,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,2,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,2,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,5,1,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,3,5,1,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,3,5,2,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,5,2,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,5,7,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,3,5,7,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,7,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,3,7,1,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,3,7,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,7,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,3,7,5,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,3,7,5,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,1,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,6,5,1,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,5,1,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,1,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,1,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,5,1,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,2,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,2,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,2,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,2,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,2,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,2,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,3,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,3,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,3,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,6,5,3,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,6,5,3,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,3,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,6,5,7,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,5,7,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,7,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,7,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,7,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,5,7,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,6,7,1,2,3,5]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [4,6,7,1,2,5,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,1,3,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,1,3,5,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,1,5,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,1,5,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,2,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,2,1,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,7,2,3,1,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,2,3,5,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,2,5,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,7,2,5,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,3,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,3,1,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,7,3,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,3,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,3,5,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,6,7,3,5,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,5,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,6,7,5,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,5,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,5,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,5,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,6,7,5,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,7,1,2,3,5,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [4,7,1,2,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,2,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,2,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,2,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,2,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,3,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,3,2,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,1,3,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,3,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,3,6,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,1,3,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,5,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,5,2,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,7,1,5,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,5,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,5,6,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,7,1,5,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,6,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,1,6,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,6,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,6,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,6,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,1,6,5,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,2,1,3,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,2,1,3,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,1,5,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,1,5,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,1,6,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,1,6,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,2,3,1,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,2,3,1,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,3,5,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,2,3,5,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,2,3,6,1,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,3,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,2,5,1,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,5,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,5,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,2,5,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,2,5,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,5,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,2,6,1,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,2,6,1,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,2,6,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,2,6,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,2,6,5,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,2,6,5,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,3,1,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,3,1,2,6,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,3,1,5,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,3,1,5,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,3,1,6,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,3,1,6,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,3,2,1,5,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,3,2,1,6,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,3,2,5,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,3,2,5,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,3,2,6,1,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,3,2,6,5,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,3,5,1,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,3,5,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,3,5,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,3,5,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,3,5,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,3,5,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,3,6,1,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [4,7,3,6,1,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,3,6,2,1,5]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,3,6,2,5,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,3,6,5,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,3,6,5,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,5,1,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,5,1,2,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,7,5,1,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,1,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,1,6,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,7,5,1,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,2,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,2,1,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,2,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,2,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,2,6,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,2,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,3,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,3,1,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,3,2,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,7,5,3,2,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,7,5,3,6,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,3,6,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,7,5,6,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [4,7,5,6,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,6,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,6,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,6,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,5,6,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [4,7,6,1,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [4,7,6,1,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,1,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,1,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,1,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,1,5,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,2,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,2,1,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,6,2,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,2,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,2,5,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,6,2,5,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,3,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,3,1,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,6,3,2,1,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,3,2,5,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,3,5,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [4,7,6,3,5,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,5,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [4,7,6,5,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,5,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,5,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,5,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [4,7,6,5,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [5,1,2,3,4,6,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [5,1,2,3,4,7,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,1,2,3,6,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,1,2,3,6,7,4]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,1,2,3,7,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,1,2,3,7,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,4,3,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,1,2,4,3,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,4,6,3,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,1,2,4,6,7,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,1,2,4,7,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,4,7,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,6,3,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,1,2,6,3,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,1,2,6,4,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,6,4,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,6,7,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,1,2,6,7,4,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,7,3,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,1,2,7,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,7,4,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,7,4,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,7,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,2,7,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,3,2,4,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,1,3,2,4,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,2,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,2,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,2,7,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,2,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,3,4,2,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,1,3,4,2,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,4,6,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,1,3,4,6,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,1,3,4,7,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,4,7,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,6,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,6,2,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,6,4,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,6,4,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,6,7,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,6,7,4,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,7,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,7,2,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,3,7,4,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,7,4,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,3,7,6,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,3,7,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,4,2,3,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,1,4,2,3,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,4,2,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,4,2,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,4,2,7,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,4,2,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,4,3,2,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,1,4,3,2,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,4,3,6,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,1,4,3,6,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,1,4,3,7,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,4,3,7,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,4,6,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,4,6,2,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,4,6,3,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,1,4,6,3,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,1,4,6,7,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,4,6,7,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,1,4,7,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,4,7,2,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,4,7,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,4,7,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,4,7,6,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,4,7,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,6,2,3,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,1,6,2,3,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,1,6,2,4,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,6,2,4,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,6,2,7,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,1,6,2,7,4,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,3,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,6,3,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,3,4,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,6,3,4,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,6,3,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,3,7,4,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,4,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,6,4,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,4,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,6,4,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,6,4,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,4,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,6,7,2,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,1,6,7,2,4,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,7,3,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,7,3,4,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,7,4,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,1,6,7,4,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,2,3,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,1,7,2,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,2,4,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,2,4,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,2,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,2,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,3,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,3,2,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,7,3,4,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,3,4,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,3,6,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,7,3,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,4,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,4,2,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,7,4,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,4,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,4,6,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,1,7,4,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,6,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,1,7,6,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,6,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,6,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,6,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,1,7,6,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,2,1,3,4,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,2,1,3,4,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,3,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,3,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,3,7,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,3,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,4,3,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,4,3,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,1,4,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,4,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,4,7,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,1,4,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,6,3,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,6,3,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,1,6,4,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,6,4,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,6,7,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,1,6,7,4,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,7,3,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,1,7,3,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,7,4,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,7,4,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,7,6,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,1,7,6,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,2,3,1,4,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,2,3,1,4,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,1,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,1,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,1,7,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,1,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,3,4,1,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,2,3,4,1,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,4,6,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,2,3,4,6,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,2,3,4,7,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,4,7,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,6,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,6,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,6,4,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,6,4,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,6,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,6,7,4,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,7,1,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,7,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,3,7,4,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,7,4,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,3,7,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,3,7,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,4,1,3,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,4,1,3,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,4,1,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,4,1,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,4,1,7,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,4,1,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,4,3,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,2,4,3,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,4,3,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,2,4,3,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,2,4,3,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,4,3,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,4,6,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,4,6,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,4,6,3,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,2,4,6,3,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,2,4,6,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,4,6,7,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,2,4,7,1,3,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,4,7,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,4,7,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,4,7,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,4,7,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,4,7,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,6,1,3,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,6,1,3,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,6,1,4,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,6,1,4,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,6,1,7,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,6,1,7,4,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,6,3,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,6,3,1,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,6,3,4,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,6,3,4,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,6,3,7,1,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,6,3,7,4,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,6,4,1,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,6,4,1,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,6,4,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,6,4,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,6,4,7,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,6,4,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,6,7,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,6,7,1,4,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,6,7,3,1,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,6,7,3,4,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,2,6,7,4,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,6,7,4,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,7,1,3,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,7,1,3,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,1,4,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,1,4,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,1,6,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,1,6,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,2,7,3,1,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,7,3,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,3,4,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,7,3,4,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,2,7,3,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,3,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,7,4,1,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,4,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,4,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,7,4,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,7,4,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,4,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,7,6,1,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,2,7,6,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,2,7,6,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,7,6,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,2,7,6,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,2,7,6,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,3,1,2,4,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,3,1,2,4,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,2,6,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,2,6,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,2,7,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,2,7,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,4,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,4,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,1,4,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,4,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,4,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,1,4,7,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,6,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,6,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,1,6,4,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,6,4,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,6,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,1,6,7,4,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,7,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,1,7,2,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,7,4,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,7,4,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,7,6,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,1,7,6,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,2,1,4,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,2,1,4,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,1,6,4,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,1,6,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,1,7,4,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,1,7,6,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,2,4,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,2,4,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,4,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,2,4,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,2,4,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,4,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,6,1,4,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,6,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,6,4,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,6,4,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,6,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,6,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,7,1,4,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,7,1,6,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,2,7,4,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,7,4,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,2,7,6,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,2,7,6,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,4,1,2,6,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,4,1,2,7,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,4,1,6,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,4,1,6,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,4,1,7,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,4,1,7,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,4,2,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,4,2,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,4,2,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,4,2,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,4,2,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,4,2,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,4,6,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,4,6,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,4,6,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,4,6,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,4,6,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,4,6,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,3,4,7,1,2,6]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,4,7,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,4,7,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,4,7,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,4,7,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,4,7,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,1,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,6,1,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,6,1,4,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,6,1,4,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,6,1,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,6,1,7,4,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,6,2,1,4,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,2,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,2,4,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,2,4,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,2,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,2,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,4,1,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,6,4,1,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,6,4,2,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,4,2,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,4,7,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,6,4,7,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,7,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,3,6,7,1,4,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,6,7,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,7,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,6,7,4,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,6,7,4,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,7,1,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,3,7,1,2,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,7,1,4,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,7,1,4,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,7,1,6,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,7,1,6,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,7,2,1,4,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,7,2,1,6,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,7,2,4,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,7,2,4,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,7,2,6,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,7,2,6,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,7,4,1,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,7,4,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,7,4,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,7,4,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,7,4,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,7,4,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,3,7,6,1,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,3,7,6,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,7,6,2,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,7,6,2,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,7,6,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,3,7,6,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,1,2,3,6,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [5,4,1,2,3,7,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,4,1,2,6,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,4,1,2,6,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,4,1,2,7,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,4,1,2,7,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,4,1,3,2,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,4,1,3,2,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,1,3,6,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,4,1,3,6,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,4,1,3,7,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,1,3,7,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,1,6,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,4,1,6,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,4,1,6,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,1,6,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,1,6,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,4,1,6,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,1,7,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,4,1,7,2,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,4,1,7,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,1,7,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,1,7,6,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,4,1,7,6,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,2,1,3,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,4,2,1,3,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,1,6,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,1,6,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,1,7,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,1,7,6,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,2,3,1,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,4,2,3,1,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,3,6,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,4,2,3,6,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,4,2,3,7,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,3,7,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,6,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,6,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,6,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,6,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,6,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,6,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,7,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,7,1,6,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,2,7,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,7,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,2,7,6,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,2,7,6,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,3,1,2,6,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [5,4,3,1,2,7,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,3,1,6,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,3,1,6,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,3,1,7,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,3,1,7,6,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,3,2,1,6,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,3,2,1,7,6]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,3,2,6,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,3,2,6,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,3,2,7,1,6]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,3,2,7,6,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,3,6,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,3,6,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,3,6,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,3,6,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,3,6,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,3,6,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,3,7,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,3,7,1,6,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,3,7,2,1,6]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,3,7,2,6,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,3,7,6,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,3,7,6,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,6,1,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,4,6,1,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,4,6,1,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,1,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,1,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,4,6,1,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,2,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,2,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,2,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,2,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,2,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,2,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,3,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,3,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,3,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,6,3,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,6,3,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,3,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,6,7,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,4,6,7,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,7,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,7,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,7,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,6,7,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,4,7,1,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,4,7,1,2,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,4,7,1,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,7,1,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,7,1,6,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,4,7,1,6,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,2,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,7,2,1,6,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,2,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,7,2,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,7,2,6,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,2,6,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,3,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,4,7,3,1,6,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,3,2,1,6]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,7,3,2,6,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,7,3,6,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,3,6,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,4,7,6,1,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,4,7,6,1,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,6,2,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,6,2,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,6,3,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,4,7,6,3,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,6,1,2,3,4,7]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,6,1,2,3,7,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,6,1,2,4,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,1,2,4,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,1,2,7,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,6,1,2,7,4,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,3,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,1,3,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,3,4,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,1,3,4,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,1,3,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,3,7,4,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,4,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,1,4,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,4,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,1,4,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,1,4,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,4,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,1,7,2,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,6,1,7,2,4,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,7,3,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,7,3,4,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,7,4,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,1,7,4,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,2,1,3,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,2,1,3,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,2,1,4,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,2,1,4,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,2,1,7,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,2,1,7,4,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,2,3,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,2,3,1,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,2,3,4,1,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,2,3,4,7,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,2,3,7,1,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,2,3,7,4,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,2,4,1,3,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,2,4,1,7,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,2,4,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,2,4,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,2,4,7,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,2,4,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,2,7,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,2,7,1,4,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,2,7,3,1,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,2,7,3,4,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,2,7,4,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,2,7,4,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,1,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,3,1,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,3,1,4,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,3,1,4,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,3,1,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,3,1,7,4,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,3,2,1,4,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,2,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,2,4,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,2,4,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,2,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,2,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,4,1,2,7]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,3,4,1,7,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,3,4,2,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,4,2,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,4,7,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,3,4,7,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,7,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,3,7,1,4,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,3,7,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,7,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,3,7,4,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,3,7,4,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,1,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,6,4,1,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,4,1,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,1,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,1,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,4,1,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,2,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,2,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,2,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,2,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,2,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,2,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,3,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,3,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,3,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,6,4,3,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,6,4,3,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,3,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,6,4,7,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,4,7,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,7,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,7,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,7,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,4,7,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,6,7,1,2,3,4]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>001000 [5,6,7,1,2,4,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,1,3,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,1,3,4,2]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,1,4,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,1,4,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,2,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,2,1,4,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,7,2,3,1,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,2,3,4,1]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,2,4,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,7,2,4,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,3,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,3,1,4,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,7,3,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,3,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,3,4,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,6,7,3,4,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,4,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [5,6,7,4,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,4,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,4,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,4,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,6,7,4,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [5,7,1,2,3,4,6]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [5,7,1,2,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,2,4,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,2,4,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,2,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,2,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,3,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,3,2,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,1,3,4,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,3,4,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,3,6,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,1,3,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,4,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,4,2,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,1,4,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,4,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,4,6,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,1,4,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,6,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,1,6,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,6,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,6,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,6,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,1,6,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,2,1,3,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,2,1,3,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,1,4,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,1,4,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,1,6,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,1,6,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,2,3,1,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,2,3,1,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,3,4,1,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,2,3,4,6,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,2,3,6,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,3,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,2,4,1,3,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,4,1,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,4,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,2,4,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,2,4,6,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,4,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,2,6,1,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,2,6,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,2,6,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,2,6,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,2,6,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,2,6,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,3,1,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,3,1,2,6,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,3,1,4,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,3,1,4,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,3,1,6,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,3,1,6,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,3,2,1,4,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,3,2,1,6,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,3,2,4,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,3,2,4,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,3,2,6,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,3,2,6,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,3,4,1,2,6]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,3,4,1,6,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,3,4,2,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,3,4,2,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,3,4,6,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,3,4,6,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,3,6,1,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,3,6,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,3,6,2,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,3,6,2,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,3,6,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,3,6,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,4,1,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,4,1,2,6,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,4,1,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,4,1,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,4,1,6,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,4,1,6,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,2,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,4,2,1,6,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,2,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,4,2,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,4,2,6,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,2,6,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,3,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,4,3,1,6,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,3,2,1,6]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,4,3,2,6,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,4,3,6,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,3,6,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,4,6,1,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [5,7,4,6,1,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,6,2,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,6,2,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,6,3,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,4,6,3,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,1,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [5,7,6,1,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,1,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,1,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,1,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,1,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,2,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,2,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,6,2,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,2,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,2,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,6,2,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,3,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,3,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,6,3,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,3,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,3,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [5,7,6,3,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,4,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [5,7,6,4,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,4,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,4,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,4,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [5,7,6,4,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [6,1,2,3,4,5,7]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [6,1,2,3,4,7,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [6,1,2,3,5,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,2,3,5,7,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,2,3,7,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [6,1,2,3,7,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,4,3,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,2,4,3,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,4,5,3,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,2,4,5,7,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,2,4,7,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,4,7,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,5,3,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,2,5,3,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,5,4,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,2,5,4,7,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,2,5,7,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,5,7,4,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,2,7,3,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [6,1,2,7,3,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,7,4,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,7,4,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,7,5,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,2,7,5,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,3,2,4,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,3,2,4,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,2,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,2,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,2,7,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,2,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,3,4,2,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,3,4,2,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,4,5,2,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,3,4,5,7,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,3,4,7,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,4,7,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,5,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,5,2,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,5,4,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,3,5,4,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,3,5,7,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,5,7,4,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,3,7,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,7,2,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,3,7,4,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,7,4,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,3,7,5,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,3,7,5,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,4,2,3,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,4,2,3,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,4,2,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,4,2,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,4,2,7,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,4,2,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,4,3,2,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,4,3,2,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,4,3,5,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,4,3,5,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,4,3,7,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,4,3,7,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,4,5,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,4,5,2,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,4,5,3,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,4,5,3,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,4,5,7,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,4,5,7,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,4,7,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,4,7,2,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,4,7,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,4,7,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,4,7,5,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,4,7,5,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,2,3,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,1,5,2,3,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,5,2,4,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,5,2,4,7,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,5,2,7,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,5,2,7,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,3,2,4,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,5,3,2,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,3,4,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,5,3,4,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,5,3,7,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,3,7,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,4,2,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,1,5,4,2,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,4,3,2,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,1,5,4,3,7,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,1,5,4,7,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,4,7,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,1,5,7,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,5,7,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,7,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,7,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,7,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,5,7,4,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,1,7,2,3,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [6,1,7,2,3,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,2,4,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,2,4,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,2,5,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,2,5,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,3,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,3,2,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,7,3,4,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,3,4,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,3,5,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,7,3,5,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,4,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,4,2,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,7,4,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,4,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,4,5,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,1,7,4,5,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,5,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,1,7,5,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,5,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,5,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,5,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,1,7,5,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,2,1,3,4,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,2,1,3,4,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,3,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,3,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,3,7,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,3,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,1,4,3,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,4,3,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,1,4,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,4,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,4,7,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,1,4,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,1,5,3,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,5,3,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,1,5,4,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,1,5,4,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,1,5,7,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,1,5,7,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,1,7,3,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,1,7,3,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,1,7,4,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,1,7,4,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,1,7,5,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,1,7,5,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,2,3,1,4,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,2,3,1,4,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,1,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,1,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,1,7,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,1,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,3,4,1,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,2,3,4,1,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,4,5,1,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,2,3,4,5,7,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,2,3,4,7,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,4,7,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,5,1,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,5,1,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,5,4,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,3,5,4,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,3,5,7,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,5,7,4,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,3,7,1,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,7,1,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,3,7,4,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,7,4,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,3,7,5,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,3,7,5,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,4,1,3,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,4,1,3,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,4,1,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,4,1,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,4,1,7,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,4,1,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,4,3,1,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,4,3,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,4,3,5,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,4,3,5,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,4,3,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,4,3,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,4,5,1,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,4,5,1,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,4,5,3,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,4,5,3,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,4,5,7,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,4,5,7,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,4,7,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,4,7,1,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,4,7,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,4,7,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,4,7,5,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,4,7,5,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,1,3,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,5,1,3,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,5,1,4,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,1,4,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,1,7,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,5,1,7,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,3,1,4,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,5,3,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,3,4,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,5,3,4,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,2,5,3,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,3,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,4,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,4,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,4,3,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,2,5,4,3,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,2,5,4,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,4,7,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,2,5,7,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,2,5,7,1,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,7,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,7,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,7,4,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,5,7,4,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,2,7,1,3,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,7,1,3,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,1,4,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,1,4,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,1,5,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,1,5,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,2,7,3,1,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,7,3,1,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,3,4,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,7,3,4,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,2,7,3,5,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,3,5,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,7,4,1,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,4,1,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,4,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,7,4,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,7,4,5,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,4,5,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,7,5,1,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,2,7,5,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,2,7,5,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,7,5,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,2,7,5,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,2,7,5,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,3,1,2,4,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,3,1,2,4,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,2,5,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,2,5,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,2,7,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,2,7,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,1,4,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,4,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,1,4,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,4,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,4,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,1,4,7,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,1,5,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,5,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,1,5,4,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,1,5,4,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,1,5,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,1,5,7,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,1,7,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,1,7,2,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,1,7,4,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,1,7,4,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,1,7,5,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,1,7,5,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,2,1,4,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,2,1,4,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,1,5,4,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,1,5,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,1,7,4,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,1,7,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,2,4,1,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,2,4,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,4,5,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,2,4,5,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,2,4,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,4,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,5,1,4,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,5,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,5,4,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,5,4,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,5,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,5,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,7,1,4,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,7,1,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,2,7,4,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,7,4,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,2,7,5,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,2,7,5,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,4,1,2,5,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,4,1,2,7,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,4,1,5,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,4,1,5,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,4,1,7,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,4,1,7,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,4,2,1,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,4,2,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,4,2,5,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,4,2,5,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,4,2,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,4,2,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,4,5,1,2,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,4,5,1,7,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,4,5,2,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,4,5,2,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,4,5,7,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,4,5,7,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,3,4,7,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,4,7,1,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,4,7,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,4,7,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,4,7,5,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,4,7,5,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,1,2,4,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,5,1,2,7,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,5,1,4,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,1,4,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,1,7,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,5,1,7,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,2,1,4,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,2,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,2,4,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,2,4,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,2,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,2,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,4,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,4,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,4,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,3,5,4,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,3,5,4,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,4,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,3,5,7,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,3,5,7,1,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,7,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,7,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,7,4,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,5,7,4,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,3,7,1,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,3,7,1,2,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,7,1,4,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,7,1,4,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,7,1,5,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,7,1,5,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,7,2,1,4,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,7,2,1,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,7,2,4,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,7,2,4,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,7,2,5,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,7,2,5,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,7,4,1,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,7,4,1,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,7,4,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,7,4,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,7,4,5,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,7,4,5,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,3,7,5,1,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,3,7,5,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,7,5,2,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,7,5,2,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,7,5,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,3,7,5,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,1,2,3,5,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,4,1,2,3,7,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,4,1,2,5,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,4,1,2,5,7,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,4,1,2,7,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,4,1,2,7,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,4,1,3,2,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,4,1,3,2,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,1,3,5,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,4,1,3,5,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,4,1,3,7,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,1,3,7,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,1,5,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,4,1,5,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,4,1,5,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,1,5,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,1,5,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,4,1,5,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,1,7,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,4,1,7,2,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,4,1,7,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,1,7,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,1,7,5,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,4,1,7,5,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,2,1,3,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,4,2,1,3,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,1,5,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,1,5,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,1,7,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,1,7,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,2,3,1,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,4,2,3,1,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,3,5,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,4,2,3,5,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,4,2,3,7,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,3,7,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,5,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,5,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,5,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,5,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,5,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,5,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,7,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,7,1,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,2,7,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,7,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,2,7,5,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,2,7,5,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,3,1,2,5,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,4,3,1,2,7,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,3,1,5,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,3,1,5,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,3,1,7,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,3,1,7,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,3,2,1,5,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,3,2,1,7,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,3,2,5,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,3,2,5,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,3,2,7,1,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,3,2,7,5,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,3,5,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,3,5,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,3,5,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,3,5,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,3,5,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,3,5,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,3,7,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,3,7,1,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,3,7,2,1,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,3,7,2,5,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,3,7,5,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,3,7,5,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,5,1,2,3,7]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,4,5,1,2,7,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,4,5,1,3,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,1,3,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,1,7,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,4,5,1,7,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,2,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,2,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,2,3,1,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,2,3,7,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,2,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,2,7,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,3,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,3,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,3,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,5,3,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,5,3,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,3,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,5,7,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [6,4,5,7,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,7,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,7,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,7,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,5,7,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,4,7,1,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,4,7,1,2,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,4,7,1,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,7,1,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,7,1,5,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,4,7,1,5,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,2,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,7,2,1,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,2,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,7,2,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,7,2,5,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,2,5,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,3,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,4,7,3,1,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,3,2,1,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,7,3,2,5,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,7,3,5,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,3,5,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,4,7,5,1,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,4,7,5,1,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,5,2,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,5,2,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,5,3,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,4,7,5,3,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,1,2,3,4,7]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [6,5,1,2,3,7,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,5,1,2,4,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,1,2,4,7,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,1,2,7,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,5,1,2,7,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,3,2,4,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,1,3,2,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,3,4,2,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,1,3,4,7,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,1,3,7,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,3,7,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,4,2,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,1,4,2,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,4,3,2,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,1,4,3,7,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,1,4,7,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,4,7,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,1,7,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,5,1,7,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,7,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,7,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,7,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,1,7,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,2,1,3,4,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,2,1,3,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,1,4,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,1,4,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,1,7,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,1,7,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,2,3,1,4,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,2,3,1,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,3,4,1,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,2,3,4,7,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,2,3,7,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,3,7,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,4,1,3,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,4,1,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,4,3,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,2,4,3,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,2,4,7,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,4,7,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,2,7,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,7,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,2,7,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,7,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,2,7,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,2,7,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,3,1,2,4,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,3,1,2,7,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,3,1,4,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,3,1,4,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,3,1,7,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,3,1,7,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,3,2,1,4,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,3,2,1,7,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,3,2,4,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,3,2,4,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,3,2,7,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,3,2,7,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,3,4,1,2,7]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,3,4,1,7,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,3,4,2,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,3,4,2,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,3,4,7,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,3,4,7,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,3,7,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,3,7,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,3,7,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,3,7,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,3,7,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,3,7,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,1,2,3,7]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [6,5,4,1,2,7,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,4,1,3,2,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,4,1,3,7,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,4,1,7,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,4,1,7,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,2,1,3,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,4,2,1,7,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,2,3,1,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,4,2,3,7,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,4,2,7,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,2,7,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,3,1,2,7]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [6,5,4,3,1,7,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,3,2,1,7]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [6,5,4,3,2,7,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [6,5,4,3,7,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,3,7,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [6,5,4,7,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,4,7,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,7,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,7,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,7,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,4,7,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [6,5,7,1,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,5,7,1,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,1,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,1,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,1,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,1,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,2,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,2,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,7,2,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,2,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,2,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,7,2,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,3,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,3,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,7,3,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,3,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,3,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,5,7,3,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,4,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,5,7,4,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,4,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,4,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,4,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,5,7,4,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [6,7,1,2,3,4,5]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>010000 [6,7,1,2,3,5,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,2,4,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,2,4,5,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,2,5,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,2,5,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,3,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,3,2,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,1,3,4,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,3,4,5,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,3,5,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,1,3,5,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,4,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,4,2,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,1,4,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,4,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,4,5,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,1,4,5,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,5,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,1,5,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,5,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,5,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,5,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,1,5,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,2,1,3,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,2,1,3,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,1,4,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,1,4,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,1,5,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,1,5,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,2,3,1,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,2,3,1,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,3,4,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,2,3,4,5,1]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,2,3,5,1,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,3,5,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,2,4,1,3,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,4,1,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,4,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,2,4,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,2,4,5,1,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,4,5,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,2,5,1,3,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,2,5,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,2,5,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,2,5,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,2,5,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,2,5,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,3,1,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,3,1,2,5,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,3,1,4,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,3,1,4,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,3,1,5,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,3,1,5,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,3,2,1,4,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,3,2,1,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,3,2,4,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,3,2,4,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,3,2,5,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,3,2,5,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,3,4,1,2,5]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,3,4,1,5,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,3,4,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,3,4,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,3,4,5,1,2]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,3,4,5,2,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,3,5,1,2,4]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,3,5,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,3,5,2,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,3,5,2,4,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,3,5,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,3,5,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,4,1,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,4,1,2,5,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,4,1,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,4,1,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,4,1,5,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,4,1,5,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,2,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,4,2,1,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,2,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,4,2,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,4,2,5,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,2,5,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,3,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,4,3,1,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,3,2,1,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,4,3,2,5,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,4,3,5,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,3,5,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,4,5,1,2,3]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>010100 [6,7,4,5,1,3,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,5,2,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,5,2,3,1]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,5,3,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,4,5,3,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,1,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [6,7,5,1,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,1,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,1,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,1,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,1,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,2,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,2,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,5,2,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,2,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,2,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,5,2,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,3,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,3,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,5,3,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,3,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,3,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [6,7,5,3,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,4,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [6,7,5,4,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,4,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,4,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,4,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [6,7,5,4,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,1,2,3,4,5,6]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>100000 [7,1,2,3,4,6,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,3,5,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,3,5,6,4]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,3,6,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,3,6,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,4,3,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,4,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,2,4,5,3,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,4,5,6,3]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,4,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,2,4,6,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,5,3,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,5,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,2,5,4,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,5,4,6,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,5,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,2,5,6,4,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,6,3,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,2,6,3,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,6,4,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,6,4,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,6,5,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,2,6,5,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,3,2,4,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,3,2,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,2,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,2,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,2,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,2,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,3,4,2,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,3,4,2,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,4,5,2,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,3,4,5,6,2]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,3,4,6,2,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,4,6,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,3,5,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,5,2,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,5,4,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,3,5,4,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,3,5,6,2,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,5,6,4,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,3,6,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,3,6,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,3,6,4,2,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,3,6,4,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,3,6,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,3,6,5,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,4,2,3,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,4,2,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,4,2,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,4,2,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,4,2,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,4,2,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,4,3,2,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,4,3,2,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,4,3,5,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,4,3,5,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,4,3,6,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,4,3,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,4,5,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,4,5,2,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,4,5,3,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,4,5,3,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,4,5,6,2,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,4,5,6,3,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,4,6,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,4,6,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,4,6,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,4,6,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,4,6,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,4,6,5,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,5,2,3,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,5,2,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,5,2,4,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,5,2,4,6,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,5,2,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,5,2,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,3,2,4,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,5,3,2,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,3,4,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,5,3,4,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,5,3,6,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,3,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,4,2,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,5,4,2,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,4,3,2,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,5,4,3,6,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,5,4,6,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,4,6,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,5,6,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,1,5,6,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,6,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,6,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,6,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,5,6,4,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,2,3,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,1,6,2,3,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,2,4,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,2,4,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,2,5,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,2,5,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,3,2,4,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,3,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,6,3,4,2,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,3,4,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,3,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,6,3,5,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,4,2,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,4,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,6,4,3,2,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,4,3,5,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,4,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,1,6,4,5,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,5,2,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,1,6,5,2,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,5,3,2,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,5,3,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,5,4,2,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,1,6,5,4,3,2]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,2,1,3,4,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,2,1,3,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,3,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,3,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,3,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,3,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,4,3,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,4,3,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,1,4,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,4,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,4,6,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,1,4,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,5,3,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,5,3,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,1,5,4,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,5,4,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,5,6,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,1,5,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,6,3,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,1,6,3,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,6,4,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,6,4,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,6,5,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,1,6,5,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,2,3,1,4,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,2,3,1,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,1,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,1,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,1,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,1,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,3,4,1,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,2,3,4,1,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,4,5,1,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,2,3,4,5,6,1]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,2,3,4,6,1,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,4,6,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,3,5,1,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,5,1,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,5,4,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,3,5,4,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,3,5,6,1,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,5,6,4,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,3,6,1,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,3,6,1,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,3,6,4,1,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,3,6,4,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,3,6,5,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,3,6,5,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,4,1,3,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,4,1,3,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,4,1,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,4,1,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,4,1,6,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,4,1,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,4,3,1,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,4,3,1,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,4,3,5,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,4,3,5,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,4,3,6,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,4,3,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,4,5,1,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,4,5,1,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,4,5,3,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,4,5,3,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,4,5,6,1,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,4,5,6,3,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,4,6,1,3,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,4,6,1,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,4,6,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,4,6,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,4,6,5,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,4,6,5,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,5,1,3,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,5,1,3,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,5,1,4,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,1,4,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,1,6,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,5,1,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,3,1,4,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,5,3,1,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,3,4,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,5,3,4,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,5,3,6,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,3,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,4,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,4,1,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,4,3,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,5,4,3,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,5,4,6,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,4,6,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,5,6,1,3,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,2,5,6,1,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,6,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,6,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,6,4,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,5,6,4,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,6,1,3,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,2,6,1,3,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,1,4,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,1,4,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,1,5,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,1,5,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,2,6,3,1,4,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,6,3,1,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,3,4,1,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,6,3,4,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,2,6,3,5,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,3,5,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,6,4,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,4,1,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,4,3,1,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,6,4,3,5,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,6,4,5,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,4,5,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,6,5,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,2,6,5,1,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,2,6,5,3,1,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,6,5,3,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,2,6,5,4,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,2,6,5,4,3,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,3,1,2,4,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,3,1,2,4,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,2,5,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,2,5,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,2,6,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,2,6,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,4,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,4,2,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,1,4,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,4,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,4,6,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,1,4,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,5,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,5,2,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,1,5,4,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,5,4,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,5,6,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,1,5,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,6,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,1,6,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,6,4,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,6,4,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,6,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,1,6,5,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,3,2,1,4,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,2,1,4,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,1,5,4,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,1,5,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,1,6,4,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,1,6,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,3,2,4,1,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,2,4,1,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,4,5,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,2,4,5,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,2,4,6,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,4,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,5,1,4,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,5,1,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,5,4,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,5,4,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,5,6,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,5,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,6,1,4,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,6,1,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,3,2,6,4,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,6,4,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,2,6,5,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,3,2,6,5,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,3,4,1,2,5,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,4,1,2,6,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,4,1,5,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,4,1,5,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,4,1,6,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,4,1,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,4,2,1,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,4,2,1,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,4,2,5,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,4,2,5,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,4,2,6,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,4,2,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,4,5,1,2,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,4,5,1,6,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,4,5,2,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,4,5,2,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,4,5,6,1,2]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,4,5,6,2,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,3,4,6,1,2,5]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,4,6,1,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,4,6,2,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,4,6,2,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,4,6,5,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,4,6,5,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,3,5,1,2,4,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,5,1,2,6,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,5,1,4,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,1,4,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,1,6,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,5,1,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,2,1,4,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,2,1,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,2,4,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,2,4,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,2,6,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,2,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,4,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,4,1,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,4,2,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,3,5,4,2,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,3,5,4,6,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,4,6,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,3,5,6,1,2,4]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,3,5,6,1,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,6,2,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,6,2,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,6,4,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,5,6,4,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,3,6,1,2,4,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,3,6,1,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,1,4,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,1,4,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,1,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,1,5,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,3,6,2,1,4,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,2,1,5,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,3,6,2,4,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,2,4,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,2,5,1,4]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,3,6,2,5,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,3,6,4,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,4,1,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,4,2,1,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,3,6,4,2,5,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,3,6,4,5,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,4,5,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,3,6,5,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,3,6,5,1,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,3,6,5,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,3,6,5,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,3,6,5,4,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,3,6,5,4,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,4,1,2,3,5,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,4,1,2,3,6,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,4,1,2,5,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,4,1,2,5,6,3]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,4,1,2,6,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,4,1,2,6,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,3,2,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,4,1,3,2,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,3,5,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,4,1,3,5,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,4,1,3,6,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,3,6,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,5,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,4,1,5,2,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,4,1,5,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,5,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,5,6,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,4,1,5,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,6,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,4,1,6,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,6,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,6,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,6,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,1,6,5,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,2,1,3,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,4,2,1,3,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,1,5,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,1,5,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,1,6,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,1,6,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,2,3,1,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,4,2,3,1,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,3,5,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,4,2,3,5,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,4,2,3,6,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,3,6,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,5,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,5,1,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,5,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,5,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,5,6,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,5,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,6,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,6,1,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,2,6,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,6,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,2,6,5,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,2,6,5,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,3,1,2,5,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,4,3,1,2,6,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,3,1,5,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,3,1,5,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,3,1,6,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,3,1,6,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,3,2,1,5,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,3,2,1,6,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,3,2,5,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,3,2,5,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,3,2,6,1,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,3,2,6,5,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,3,5,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,3,5,1,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,3,5,2,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,3,5,2,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,3,5,6,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,3,5,6,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,3,6,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,3,6,1,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,3,6,2,1,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,3,6,2,5,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,3,6,5,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,3,6,5,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,5,1,2,3,6]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,4,5,1,2,6,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,4,5,1,3,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,1,3,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,1,6,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,4,5,1,6,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,2,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,2,1,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,2,3,1,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,2,3,6,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,2,6,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,2,6,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,3,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,3,1,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,3,2,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,5,3,2,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,5,3,6,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,3,6,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,5,6,1,2,3]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>100100 [7,4,5,6,1,3,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,6,2,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,6,2,3,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,6,3,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,5,6,3,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,4,6,1,2,3,5]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,4,6,1,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,1,3,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,1,3,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,1,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,1,5,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,2,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,2,1,5,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,6,2,3,1,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,2,3,5,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,2,5,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,6,2,5,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,3,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,3,1,5,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,6,3,2,1,5]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,3,2,5,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,3,5,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,4,6,3,5,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,5,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,4,6,5,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,5,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,5,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,5,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,4,6,5,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,5,1,2,3,4,6]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,5,1,2,3,6,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,5,1,2,4,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,1,2,4,6,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,1,2,6,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,5,1,2,6,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,3,2,4,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,1,3,2,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,3,4,2,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,1,3,4,6,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,1,3,6,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,3,6,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,4,2,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,1,4,2,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,4,3,2,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,1,4,3,6,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,1,4,6,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,4,6,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,1,6,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,5,1,6,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,6,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,6,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,6,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,1,6,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,2,1,3,4,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,2,1,3,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,1,4,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,1,4,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,1,6,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,1,6,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,2,3,1,4,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,2,3,1,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,3,4,1,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,2,3,4,6,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,2,3,6,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,3,6,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,4,1,3,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,4,1,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,4,3,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,2,4,3,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,2,4,6,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,4,6,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,2,6,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,6,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,2,6,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,6,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,2,6,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,2,6,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,3,1,2,4,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,3,1,2,6,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,3,1,4,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,3,1,4,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,3,1,6,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,3,1,6,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,3,2,1,4,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,3,2,1,6,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,3,2,4,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,3,2,4,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,3,2,6,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,3,2,6,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,3,4,1,2,6]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,3,4,1,6,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,3,4,2,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,3,4,2,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,3,4,6,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,3,4,6,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,3,6,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,3,6,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,3,6,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,3,6,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,3,6,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,3,6,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,1,2,3,6]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,5,4,1,2,6,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,4,1,3,2,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,4,1,3,6,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,4,1,6,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,4,1,6,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,2,1,3,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,4,2,1,6,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,2,3,1,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,4,2,3,6,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,4,2,6,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,2,6,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,3,1,2,6]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,5,4,3,1,6,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,3,2,1,6]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,5,4,3,2,6,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,5,4,3,6,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,3,6,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,5,4,6,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,4,6,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,6,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,6,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,6,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,4,6,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,5,6,1,2,3,4]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>101000 [7,5,6,1,2,4,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,1,3,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,1,3,4,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,1,4,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,1,4,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,2,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,2,1,4,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,6,2,3,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,2,3,4,1]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,2,4,1,3]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,6,2,4,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,3,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,3,1,4,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,6,3,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,3,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,3,4,1,2]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>101010 [7,5,6,3,4,2,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,4,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,5,6,4,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,4,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,4,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,4,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,5,6,4,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,1,2,3,4,5]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>110000 [7,6,1,2,3,5,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,2,4,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,2,4,5,3]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,2,5,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,2,5,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,3,2,4,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,3,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,1,3,4,2,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,3,4,5,2]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,3,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,1,3,5,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,4,2,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,4,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,1,4,3,2,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,4,3,5,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,4,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,1,4,5,3,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,5,2,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,1,5,2,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,5,3,2,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,5,3,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,5,4,2,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,1,5,4,3,2]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,2,1,3,4,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,2,1,3,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,1,4,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,1,4,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,1,5,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,1,5,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,2,3,1,4,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,2,3,1,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,3,4,1,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,2,3,4,5,1]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,2,3,5,1,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,3,5,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,2,4,1,3,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,4,1,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,4,3,1,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,2,4,3,5,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,2,4,5,1,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,4,5,3,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,2,5,1,3,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,2,5,1,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,2,5,3,1,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,2,5,3,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,2,5,4,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,2,5,4,3,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,3,1,2,4,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,3,1,2,5,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,3,1,4,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,3,1,4,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,3,1,5,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,3,1,5,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,3,2,1,4,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,3,2,1,5,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,3,2,4,1,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,3,2,4,5,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,3,2,5,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,3,2,5,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,3,4,1,2,5]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,3,4,1,5,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,3,4,2,1,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,3,4,2,5,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,3,4,5,1,2]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,3,4,5,2,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,3,5,1,2,4]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,3,5,1,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,3,5,2,1,4]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,3,5,2,4,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,3,5,4,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,3,5,4,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,4,1,2,3,5]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,4,1,2,5,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,4,1,3,2,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,4,1,3,5,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,4,1,5,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,4,1,5,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,2,1,3,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,4,2,1,5,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,2,3,1,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,4,2,3,5,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,4,2,5,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,2,5,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,3,1,2,5]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,4,3,1,5,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,3,2,1,5]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,4,3,2,5,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,4,3,5,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,3,5,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,4,5,1,2,3]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>110100 [7,6,4,5,1,3,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,5,2,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,5,2,3,1]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,5,3,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,4,5,3,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,1,2,3,4]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>111000 [7,6,5,1,2,4,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,1,3,2,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,1,3,4,2]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,1,4,2,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,1,4,3,2]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,2,1,3,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,2,1,4,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,5,2,3,1,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,2,3,4,1]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,2,4,1,3]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,5,2,4,3,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,3,1,2,4]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,3,1,4,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,5,3,2,1,4]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,3,2,4,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,3,4,1,2]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>111010 [7,6,5,3,4,2,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,4,1,2,3]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>111100 [7,6,5,4,1,3,2]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,4,2,1,3]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,4,2,3,1]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,4,3,1,2]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>111110 [7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>111111 [8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>1111111 [7,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,6,7,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,6,8,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [6,7,8,5,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,5,6,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,5,6,4,3,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,5,7,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,5,6,7,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,6,5,8,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [6,7,5,8,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,5,6,8,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,7,8,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,6,7,8,4,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,7,6,4,5,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,6,7,4,5,3,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,5,4,6,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,7,4,5,6,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,5,6,4,7,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,4,5,7,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,4,5,6,7,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,5,4,8,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [6,7,5,4,8,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,5,6,4,8,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,7,4,8,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,6,7,4,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,4,5,8,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,4,5,8,3,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,4,6,8,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,4,5,6,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,5,4,7,8,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,6,4,7,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,4,5,7,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,6,7,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,6,7,8,3,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,7,6,5,3,4,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,6,5,3,4,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,8,5,3,4,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,5,6,3,4,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,5,6,3,4,2,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,6,7,3,4,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,5,8,3,4,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,5,7,8,3,4,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,8,3,4,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,6,4,3,5,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,6,4,3,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,8,4,3,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,8,4,3,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,6,3,4,5,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,6,3,4,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,3,4,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,3,4,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,3,4,5,2,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,5,4,3,6,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,5,4,3,6,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,5,3,4,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,3,5,6,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,3,4,5,6,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,3,4,5,6,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,5,4,3,7,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,6,4,3,5,7,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,5,3,4,6,7,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,4,3,5,6,7,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,4,5,6,7,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,6,5,4,3,8,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [6,7,5,4,3,8,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,5,6,4,3,8,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,6,7,4,3,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,4,5,3,8,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,4,6,3,8,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,4,5,6,3,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,4,5,7,3,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,6,7,3,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,6,7,3,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,6,4,3,5,8,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,5,4,3,6,8,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,5,3,4,6,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,3,4,5,6,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,5,4,3,7,8,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,3,4,7,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,4,5,7,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,4,3,6,7,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,3,5,6,7,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,5,6,7,8,2,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,7,6,5,4,2,3,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,6,5,4,2,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,7,5,4,2,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,5,7,4,2,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,6,7,4,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,8,4,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,8,4,2,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,7,4,5,2,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,6,8,4,5,2,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,4,5,6,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,4,5,6,2,3,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,4,7,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,5,7,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,5,6,7,2,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,6,4,8,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,4,8,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,6,7,8,2,3,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,6,5,3,2,4,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,6,5,3,2,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,7,5,3,2,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,8,5,3,2,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,6,3,2,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,5,7,3,2,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,6,7,3,2,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,8,3,2,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,6,5,2,3,4,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,7,5,2,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,5,2,3,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,5,6,2,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,5,6,2,3,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,5,7,2,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,6,7,2,3,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,5,8,2,3,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,7,8,2,3,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,7,8,2,3,4,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,3,4,2,5,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,6,3,4,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,3,4,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,3,4,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,3,4,2,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,4,2,3,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,6,3,2,4,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,3,2,4,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,3,2,4,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,2,3,4,5,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,6,2,3,4,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,7,2,3,4,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,8,2,3,4,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,8,2,3,4,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,5,4,3,2,6,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,5,3,4,2,6,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,5,3,4,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,3,2,4,6,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,4,3,2,5,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,3,4,2,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,4,2,3,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,3,2,4,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,3,4,5,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,8,2,3,4,5,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,5,4,3,2,7,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,5,6,3,4,2,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,3,5,2,7,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,4,5,3,6,2,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,4,3,5,6,2,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,5,3,2,4,7,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,4,2,3,5,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,2,3,4,5,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,5,4,3,2,6,7,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,5,3,4,2,6,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,4,5,2,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,5,4,2,3,6,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,4,3,2,5,6,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,4,2,5,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,4,2,3,5,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,3,2,4,5,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,4,5,6,7,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,6,5,4,3,2,8,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [6,7,5,4,3,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,7,4,3,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,6,4,5,3,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,4,5,3,2,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,5,6,3,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,4,5,7,3,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,6,7,3,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,5,6,3,4,2,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,3,4,2,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,3,5,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,6,3,4,5,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,4,3,6,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,4,5,3,6,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,3,4,6,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,5,4,3,7,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,4,5,3,7,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,6,3,7,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,6,3,7,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,5,3,4,7,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,6,3,4,7,2,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,3,5,7,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,4,5,7,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,5,3,6,7,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,5,6,7,2,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,7,5,4,2,3,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,4,2,3,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,4,2,3,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,4,2,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,4,5,2,3,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,4,5,2,3,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,5,6,2,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,4,7,2,3,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,4,7,2,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,7,2,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,7,2,3,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,5,3,2,4,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,3,2,4,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,5,2,3,4,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,6,2,3,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,2,3,4,8,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,4,3,2,5,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,2,3,5,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,3,2,4,5,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,3,2,4,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,2,3,4,5,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,7,2,3,4,5,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,3,5,2,6,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,4,2,3,6,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,4,5,2,3,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,3,2,4,6,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,2,3,4,6,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,3,2,4,5,6,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,3,4,5,6,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,5,4,3,2,7,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,5,6,3,2,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,5,3,4,2,7,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,3,6,2,7,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,4,5,6,2,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,4,5,2,3,7,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,2,3,7,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,2,3,4,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,2,3,4,5,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,4,3,2,6,7,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,3,2,6,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,5,2,6,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,5,2,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,4,2,3,6,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,5,2,3,6,7,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,3,4,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,3,2,5,6,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,2,5,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,2,3,5,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,4,5,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,5,6,7,8,1]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [8,7,6,5,4,3,1,2]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,6,5,4,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,7,5,4,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,8,5,4,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,8,5,4,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,6,4,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,5,6,4,3,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,6,5,8,4,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,5,8,4,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,8,4,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,8,4,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,8,4,3,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,6,4,5,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,6,4,5,3,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,6,7,4,5,3,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,7,8,4,5,3,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,5,4,6,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,6,4,7,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,5,7,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,4,6,7,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,5,4,8,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,5,6,4,8,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,4,8,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,5,8,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,4,5,8,3,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,4,7,8,3,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,7,8,3,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,6,5,3,4,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,6,5,3,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,6,8,5,3,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,7,8,5,3,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,5,6,3,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,8,5,6,3,4,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,6,5,7,3,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,6,7,3,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,6,8,3,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,7,8,3,4,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,8,4,3,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,6,3,4,5,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,3,4,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,5,4,3,6,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,4,5,3,6,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,4,5,3,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,4,3,5,6,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,4,3,5,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,3,4,5,6,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,3,4,5,6,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,5,4,3,6,7,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,4,6,7,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,3,5,6,7,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,4,5,6,7,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,5,4,3,8,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,6,7,4,3,8,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,4,5,3,8,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,6,7,3,8,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,5,3,4,8,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,3,5,8,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,4,5,8,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,4,3,6,8,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,3,4,6,8,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,4,5,6,8,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,4,3,7,8,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,6,3,7,8,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,3,4,7,8,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,3,5,7,8,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,4,5,7,8,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,3,6,7,8,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,3,6,7,8,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,5,6,7,8,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,5,6,7,8,1,2]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [8,7,6,5,4,2,1,3]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,6,5,4,2,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,7,5,4,2,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,8,5,4,2,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,8,5,4,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,6,4,2,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,5,6,4,2,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,7,5,8,4,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,8,4,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,8,4,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,8,4,2,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,6,4,5,2,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,8,4,5,2,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,4,5,6,7,2,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,5,4,8,2,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,5,4,8,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,4,8,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,4,8,2,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,4,5,8,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,5,6,8,2,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,7,8,2,1,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,6,5,4,1,2,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,6,5,4,1,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,5,4,1,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,5,4,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,5,6,4,1,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,5,7,4,1,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,6,7,4,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,5,8,4,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,6,8,4,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,7,8,4,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,7,8,4,1,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,7,4,5,1,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,8,4,5,1,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,7,5,4,6,1,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,5,4,6,1,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,4,5,6,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,6,4,7,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,4,5,7,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,5,6,7,1,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,5,4,8,1,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,5,4,8,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,7,4,8,1,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,4,5,8,1,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,5,4,6,8,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,4,7,8,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,4,7,8,1,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,6,7,8,1,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,7,8,1,2,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [8,7,6,5,3,2,1,4]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,6,7,5,3,2,1,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,8,5,3,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,5,6,3,2,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,6,7,3,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,5,8,3,2,1,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,5,8,3,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,8,3,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,8,3,2,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,6,5,2,3,1,4]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,6,5,2,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,5,2,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,5,2,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,6,2,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,5,6,2,3,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,7,2,3,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,5,8,2,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,8,2,3,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,7,8,2,3,1,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,5,3,1,2,4]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,6,5,3,1,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,5,3,1,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,5,3,1,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,6,3,1,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,5,8,3,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,7,8,3,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,7,8,3,1,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,5,2,1,3,4]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,6,5,2,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,5,2,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,5,2,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,5,6,2,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,5,7,2,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,6,7,2,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,5,8,2,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,5,8,2,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,6,8,2,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,7,8,2,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,7,8,2,1,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,5,1,2,3,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,6,5,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,7,5,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,8,5,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,8,5,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,5,6,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,5,6,1,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,6,5,7,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,6,7,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,5,8,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,5,8,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,6,8,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,7,8,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,7,8,1,2,3,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [8,7,6,4,3,2,1,5]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,6,4,3,2,1,5]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,7,4,3,2,1,5]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,8,4,3,2,1,5]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,8,4,3,2,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,6,3,4,2,1,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,6,3,4,2,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,3,4,2,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,4,2,3,1,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,8,4,2,3,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,3,2,4,1,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,7,3,2,4,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,3,2,4,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,2,3,4,1,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,7,2,3,4,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,8,2,3,4,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,8,2,3,4,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,4,3,1,2,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,8,4,3,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,3,4,1,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,6,3,4,1,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,7,3,4,1,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,8,3,4,1,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,7,6,4,2,1,3,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,6,4,2,1,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,4,2,1,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,4,2,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,4,1,2,3,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,6,4,1,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,8,4,1,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,8,4,1,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,3,2,1,4,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,7,3,2,1,4,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,3,2,1,4,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,2,3,1,4,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,6,2,3,1,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,7,2,3,1,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,8,2,3,1,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,3,1,2,4,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,6,3,1,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,7,3,1,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,8,3,1,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,8,3,1,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,2,1,3,4,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,7,2,1,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,8,2,1,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,6,1,2,3,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,8,6,1,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,7,1,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,8,1,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,8,1,2,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [8,7,5,4,3,2,1,6]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [7,8,5,4,3,2,1,6]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,4,5,3,2,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,3,4,2,1,6]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,3,4,5,2,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,4,5,2,3,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,4,5,2,3,1,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,5,3,2,4,1,6]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,5,2,3,4,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,4,3,2,5,1,6]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,4,3,2,5,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,3,4,2,5,1,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,3,4,2,5,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,3,4,5,1,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,8,2,3,4,5,1,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,5,4,3,1,2,6]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,5,4,3,1,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,3,4,1,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,3,4,5,1,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,3,4,5,1,2,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,5,4,2,1,3,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,5,4,1,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,4,5,1,2,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,7,5,3,2,1,4,6]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,5,3,2,1,4,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,3,1,2,4,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,5,3,1,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,5,2,1,3,4,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,5,2,1,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,5,1,2,3,4,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,8,5,1,2,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,8,4,3,2,1,5,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,3,4,2,1,5,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,3,4,2,1,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,4,2,3,1,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,3,2,4,1,5,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,3,2,4,1,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,3,4,1,5,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,8,2,3,4,1,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,8,4,3,1,2,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,3,4,1,2,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,3,4,1,2,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,7,4,2,1,3,5,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,4,2,1,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,4,1,2,3,5,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,7,3,2,1,4,5,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,3,2,1,4,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,3,1,4,5,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,8,2,3,1,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,2,1,3,4,5,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,8,2,1,3,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,1,2,3,4,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,8,1,2,3,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [8,6,5,4,3,2,1,7]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,5,6,4,3,2,1,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,4,5,3,2,1,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,4,5,6,3,2,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,5,3,4,2,1,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,5,6,3,4,2,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,5,3,6,2,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,4,3,5,6,2,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,4,5,6,2,1,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,6,5,4,2,3,1,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,5,6,4,2,3,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,5,6,2,3,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,5,3,2,4,1,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,5,2,3,4,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,6,2,3,4,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,4,2,3,5,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,3,2,4,5,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,4,3,5,2,6,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,4,2,3,6,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,4,5,2,3,6,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,3,2,4,6,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,2,3,4,6,1,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,3,2,4,5,6,1,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,4,5,6,1,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,6,5,4,3,1,2,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,4,5,3,1,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,5,3,4,1,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,6,3,4,1,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,4,3,6,1,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,4,6,1,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,3,5,6,1,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,4,5,6,1,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,5,4,2,1,3,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,5,6,4,2,1,3,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,5,6,2,1,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,6,4,1,2,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,4,5,1,2,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,5,6,1,2,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,5,3,2,1,4,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,5,6,3,2,1,4,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,5,2,3,1,4,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,6,2,3,1,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,6,3,1,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,5,2,1,3,4,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,6,2,1,3,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,5,1,2,3,4,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,5,6,1,2,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,4,3,2,1,5,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,3,4,2,1,5,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,4,2,3,1,5,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,3,2,4,1,5,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,2,3,4,1,5,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,6,4,3,1,2,5,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,3,4,1,2,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,4,2,1,3,5,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,4,1,2,3,5,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,6,3,2,1,4,5,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,1,2,3,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,5,4,3,2,1,6,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,4,5,3,2,1,6,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,4,3,5,2,1,6,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,4,5,2,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,4,5,2,3,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,2,3,4,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,4,2,3,5,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,4,5,1,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,5,3,4,1,2,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,4,5,1,2,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,5,4,2,1,3,6,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,4,1,2,3,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,4,5,1,2,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,5,3,2,1,4,6,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,3,1,2,4,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,5,1,2,3,4,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,4,3,2,1,5,6,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,4,2,1,5,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,4,2,3,1,5,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,4,1,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,3,4,1,2,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,4,2,1,3,5,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,4,1,2,3,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,3,2,1,4,5,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,1,4,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,3,1,2,4,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,2,1,3,4,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,1,2,3,4,5,6,7]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [7,6,5,4,3,2,1,8]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [6,7,5,4,3,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,5,6,4,3,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,7,4,3,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,6,7,4,3,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,4,5,3,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,4,5,3,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,4,6,3,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,4,5,6,3,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,5,4,7,3,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,6,4,7,3,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,6,7,3,2,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,6,5,3,4,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,5,3,4,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,3,4,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,3,4,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,3,4,2,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,4,3,5,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,4,3,5,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,4,5,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,4,3,6,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,4,3,7,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,6,4,3,7,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,6,3,7,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,3,6,7,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,4,5,6,7,2,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,7,5,4,2,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,4,2,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,4,2,3,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,4,5,2,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,4,5,2,3,1,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,4,6,2,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,4,7,2,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,4,7,2,3,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,7,2,3,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,7,2,3,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,5,3,2,4,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,7,3,2,4,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,3,2,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,5,2,3,4,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,5,2,3,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,6,2,3,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,7,2,3,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,2,3,4,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,4,3,2,5,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,2,3,5,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,4,2,3,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,3,2,4,5,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,3,2,4,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,4,3,2,6,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,4,5,3,2,6,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,4,3,5,2,6,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,3,2,4,6,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,4,2,3,5,6,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,3,4,5,6,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,5,4,3,2,7,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,3,4,5,2,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,5,3,6,2,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,3,4,6,2,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,5,6,2,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,5,6,2,7,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,4,6,2,3,7,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,3,2,4,7,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,4,2,3,5,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,4,3,2,6,7,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,2,3,6,7,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,3,4,6,7,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,3,2,5,6,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,2,5,6,7,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,2,3,5,6,7,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,4,5,6,7,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,5,6,7,1,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [7,6,5,4,3,1,2,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,5,4,3,1,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,4,3,1,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,5,3,1,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,6,7,3,1,2,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,7,3,1,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,5,3,4,1,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,4,3,7,1,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,4,5,7,1,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,5,6,7,1,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,5,6,7,1,2,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [7,6,5,4,2,1,3,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,7,4,2,1,3,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,5,2,1,3,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,6,7,2,1,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,7,2,1,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,5,4,1,2,3,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,6,7,4,1,2,3,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,5,6,1,2,3,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,6,7,1,2,3,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,7,1,2,3,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [7,6,5,3,2,1,4,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,6,5,2,3,1,4,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,5,2,3,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,6,2,3,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,7,2,3,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,2,3,1,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,5,2,1,3,4,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,6,2,1,3,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,2,1,3,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,5,1,2,3,4,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,7,5,1,2,3,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,5,6,1,2,3,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,7,1,2,3,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,6,7,1,2,3,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [7,6,4,3,2,1,5,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,7,4,3,2,1,5,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,4,2,1,5,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,3,4,2,1,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,4,2,3,1,5,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,3,2,4,1,5,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,2,3,4,1,5,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,7,2,3,4,1,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,4,3,1,2,5,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,4,2,1,3,5,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,3,2,1,4,5,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,3,2,1,4,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,2,3,1,4,5,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,7,2,3,1,4,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,3,1,2,4,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,1,2,3,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [7,5,4,3,2,1,6,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,4,5,3,2,1,6,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,4,3,5,2,1,6,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,3,4,5,2,1,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,5,4,2,3,1,6,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,3,2,4,1,6,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,2,3,4,1,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,4,2,3,5,1,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,3,4,5,1,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,4,5,1,2,3,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,5,3,2,1,4,6,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,2,3,1,4,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,5,3,1,2,4,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,5,1,2,3,4,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,2,3,4,1,5,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,4,3,1,2,5,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,3,4,1,2,5,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,2,1,4,5,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,3,1,2,4,5,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,2,1,3,4,5,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,1,2,3,4,5,6,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [6,5,4,3,2,1,7,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,6,4,3,2,1,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,6,3,2,1,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,6,3,2,1,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,6,3,4,2,1,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,2,3,1,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,3,2,4,1,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,2,3,4,1,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,6,2,3,4,1,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,3,2,5,1,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,2,3,4,5,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,4,3,2,6,1,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,3,5,2,6,1,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,5,2,6,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,2,3,4,6,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,3,2,5,6,1,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,2,3,5,6,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,4,5,6,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,5,6,1,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [6,5,4,3,1,2,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,4,5,6,1,2,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,5,4,2,1,3,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,4,5,2,1,3,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,1,2,3,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,4,3,2,1,5,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,4,2,1,5,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,4,3,1,2,5,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,4,2,1,3,5,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,4,1,2,3,5,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,2,3,1,4,5,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,3,1,2,4,5,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,1,2,3,4,5,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [5,4,3,2,1,6,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,5,3,2,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,3,4,2,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,5,2,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,5,2,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,4,2,3,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,5,2,3,1,6,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,2,4,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,2,3,4,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,3,2,5,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,2,5,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,2,3,5,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,4,5,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,5,1,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,4,5,1,2,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,5,1,2,3,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,3,2,1,4,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,2,3,1,4,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,3,1,2,4,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,1,2,3,4,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [4,3,2,1,5,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,2,1,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,2,3,1,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,4,1,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,1,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [4,3,1,2,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,4,1,2,5,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,2,1,3,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,1,2,3,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,2,1,4,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,1,4,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,1,2,4,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [2,1,3,4,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,3,4,5,6,7,8]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0000000 [6,8,7,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [5,8,7,6,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [5,7,8,6,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,8,7,4,3,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,6,8,7,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,7,6,8,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,8,7,6,5,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [4,7,8,6,5,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,6,8,7,5,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,7,6,8,5,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,5,8,7,6,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,5,6,8,7,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,7,6,4,8,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,7,6,5,8,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,6,7,5,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,7,6,8,3,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,7,6,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,6,5,7,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,8,7,6,5,4,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [3,7,8,6,5,4,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,6,8,7,5,4,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,5,8,7,6,4,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,5,7,8,6,4,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,6,8,7,4,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,7,6,5,8,4,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,5,7,6,8,4,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,6,7,8,4,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,8,7,6,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [3,4,6,7,8,5,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,4,3,8,7,6,2,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,4,3,7,8,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,4,7,8,6,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,7,8,6,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,5,4,3,8,7,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,6,4,3,8,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,6,5,8,7,2,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,3,6,8,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,3,6,8,7,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,6,8,7,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,7,6,4,3,8,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,4,7,6,3,8,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,7,6,5,4,8,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,5,7,6,4,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,6,7,4,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,7,6,5,8,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,7,6,5,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,4,6,7,5,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,4,7,6,8,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,7,6,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,6,4,7,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,6,5,7,8,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,6,5,7,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,4,6,7,8,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [2,7,8,6,5,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,6,8,7,5,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,7,6,8,5,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,6,7,8,5,4,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,5,8,7,6,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,6,7,5,8,4,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,5,6,7,8,4,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,8,7,6,5,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,4,7,8,6,5,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,4,6,8,7,5,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,4,6,7,8,5,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,5,4,8,7,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,4,7,8,6,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,7,8,6,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,6,5,4,8,7,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,6,4,8,7,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,6,5,8,7,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,6,8,7,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,7,6,5,4,8,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,5,6,7,4,8,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,6,7,5,8,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,5,4,7,6,8,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,5,4,7,8,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,5,6,4,7,8,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,6,5,7,8,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,5,4,6,7,8,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,5,6,7,8,3,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,8,7,6,5,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [3,2,6,8,7,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,5,7,8,6,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,7,6,8,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,6,7,8,4,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,7,6,5,4,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,3,6,7,8,5,4,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,5,7,8,6,4,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,6,5,8,7,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,5,6,8,7,4,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,7,6,5,8,4,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,3,5,7,6,8,4,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,5,6,7,8,4,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,3,2,8,7,6,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,3,2,7,8,6,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,2,8,7,6,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,2,7,8,6,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,3,8,7,6,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,4,3,6,8,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,3,6,7,8,5,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,8,7,6,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,4,8,7,6,5,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,3,4,6,8,7,5,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,4,7,6,8,5,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,4,6,7,8,5,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,4,3,2,8,7,6,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,4,3,2,7,8,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,4,2,7,8,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,2,7,8,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,4,3,8,7,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,4,3,7,8,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,3,7,8,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,7,8,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,5,4,7,8,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,2,5,8,7,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,5,7,8,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,5,8,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,5,7,8,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,5,7,8,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,8,7,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,4,5,7,8,6,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,5,4,3,2,8,7,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,6,5,3,2,8,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,6,3,2,8,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,6,4,2,8,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,5,2,8,7,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,3,6,2,8,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,3,6,2,8,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,5,4,3,8,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,4,6,5,3,8,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,6,3,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,6,5,4,8,7,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,3,5,6,4,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,2,6,5,8,7,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,4,3,6,5,8,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,4,6,5,8,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,4,6,5,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,3,2,6,8,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,4,5,3,6,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,6,8,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,2,5,6,8,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,5,6,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,5,6,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,5,6,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,6,8,7,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,7,6,4,3,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,7,6,5,3,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,6,7,5,3,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,6,5,7,3,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,7,6,4,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,6,7,4,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,7,6,5,2,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,7,6,5,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,4,6,7,5,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,4,3,7,6,2,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,4,7,6,2,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,7,6,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,6,5,3,7,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,6,5,4,7,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,6,4,7,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,6,5,7,2,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,6,5,7,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,4,6,7,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,7,6,5,4,3,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,6,5,7,4,3,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,5,6,7,4,3,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,6,7,5,3,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,6,5,7,3,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,5,4,6,7,3,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,5,6,7,3,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,7,6,5,4,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,6,7,5,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,7,6,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,6,5,7,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,6,7,4,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,7,6,5,4,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,3,5,7,6,4,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,5,6,7,4,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,3,2,7,6,5,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,2,6,7,5,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,6,7,5,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,7,6,5,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,4,6,7,5,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,4,3,2,7,6,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,4,2,7,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,5,2,7,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,2,7,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,7,6,8,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,5,4,7,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,2,5,7,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,5,7,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,5,7,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,7,6,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,5,6,4,2,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,4,6,5,2,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,4,6,2,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,6,5,4,3,7,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,5,6,4,3,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,6,5,3,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,5,6,3,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,5,6,4,7,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,6,5,4,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,5,6,4,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,4,2,6,5,7,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,6,5,7,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,6,5,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,5,4,2,6,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,5,3,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,5,4,6,7,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,5,4,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,4,3,5,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [1,7,8,6,5,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,8,7,5,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,7,6,8,5,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,7,8,5,4,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,5,8,7,6,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,5,8,7,4,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,6,5,8,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,7,5,8,4,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,5,7,6,8,4,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,5,6,7,8,4,3,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,8,7,6,5,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,4,7,8,6,5,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,4,6,8,7,5,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,4,6,7,8,5,3,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,4,7,8,6,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,5,8,7,6,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,4,6,5,8,7,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,6,5,4,8,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,4,7,6,5,8,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,4,6,7,5,8,3,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,6,5,4,7,8,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,4,5,6,7,8,3,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,8,7,6,5,4,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,3,7,8,6,5,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,3,6,8,7,5,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,3,6,7,8,5,4,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,5,8,7,6,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,3,5,7,8,6,4,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,5,6,8,7,4,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,6,7,5,8,4,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,6,5,7,8,4,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,5,6,7,8,4,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,4,3,8,7,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,4,3,7,8,6,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,3,6,8,7,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,3,6,7,8,5,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,8,7,6,5,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,3,4,7,6,8,5,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,4,6,7,8,5,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,5,4,3,8,7,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,4,5,3,8,7,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,5,3,7,8,6,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,3,5,7,8,6,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,5,8,7,6,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,4,5,7,8,6,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,6,5,4,3,8,7,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,5,6,4,3,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,6,5,3,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,5,6,3,8,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,3,6,5,8,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,4,3,6,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,5,3,6,8,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,5,6,8,7,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,6,5,4,3,8,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,7,5,4,3,8,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,6,5,7,4,3,8,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,4,6,7,5,3,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,6,4,7,3,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,6,5,7,3,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,4,6,7,3,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,5,6,7,3,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,6,5,7,4,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,5,6,7,4,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,4,6,7,5,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,5,4,7,6,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,5,7,6,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,5,4,6,3,7,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,3,6,5,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,6,5,7,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,5,4,3,6,7,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,5,3,6,7,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,4,3,5,6,7,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,4,5,6,7,8,2]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [2,1,8,7,6,5,4,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,1,7,8,6,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,6,8,7,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,7,6,8,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,6,7,8,5,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,5,8,7,6,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,5,7,8,6,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,6,5,8,7,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,5,6,8,7,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,7,6,5,8,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,6,7,5,8,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,5,7,6,8,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,6,5,7,8,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,5,6,7,8,4,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,8,7,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,4,7,8,6,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,4,6,8,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,4,6,7,8,5,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,5,4,8,7,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,5,4,7,8,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,5,8,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,4,5,7,8,6,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,6,5,4,8,7,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,5,6,4,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,6,5,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,4,6,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,5,6,8,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,7,6,5,4,8,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,6,7,5,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,5,7,6,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,6,5,7,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,5,6,7,4,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,7,6,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,4,6,7,5,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,5,4,7,6,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,6,4,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,5,4,6,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,5,6,7,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,8,7,6,5,4,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,2,7,8,6,5,4,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,6,7,8,5,4,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,6,5,8,7,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,5,6,8,7,4,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,7,6,5,8,4,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,5,7,6,8,4,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,6,5,7,8,4,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,5,6,7,8,4,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,8,7,6,5,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,4,6,8,7,5,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,4,6,7,8,5,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,5,4,8,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,4,5,8,7,6,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,4,5,7,8,6,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,5,4,6,8,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,4,5,6,8,7,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,7,6,5,4,8,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,5,7,6,4,8,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,5,6,7,4,8,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,7,6,5,8,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,5,4,7,6,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,5,4,7,8,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,5,4,6,7,8,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,5,6,7,8,3]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,2,1,8,7,6,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,2,1,7,8,6,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,6,8,7,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,7,6,8,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,6,7,8,5,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,5,8,7,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,5,7,8,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,6,5,8,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,1,5,6,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,7,6,5,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,6,7,5,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,5,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,6,5,7,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,5,6,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,8,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,1,6,8,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,1,7,6,8,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,1,6,7,8,5,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,5,7,8,6,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,6,5,8,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,1,7,6,5,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,1,6,7,5,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,5,7,6,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,5,6,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,8,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,3,2,6,8,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,7,6,8,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,6,7,8,5,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,5,8,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,5,7,8,6,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,6,5,8,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,5,6,8,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,7,6,5,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,6,7,5,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,6,5,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,5,6,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,8,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,3,7,8,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,3,6,8,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,3,6,5,8,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,3,5,6,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,8,7,6,5,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,3,7,8,6,5,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,6,8,7,5,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,7,6,8,5,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,6,7,8,5,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,5,8,7,6,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,5,7,8,6,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,6,5,8,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,5,6,8,7,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,7,6,5,8,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,6,7,5,8,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,5,7,6,8,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,6,5,7,8,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,5,6,7,8,4]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [4,3,2,1,8,7,6,5]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [4,3,2,1,7,8,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,1,6,8,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,1,7,6,8,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,1,6,7,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,1,8,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,2,1,7,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,2,1,6,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,2,1,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,2,1,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,1,8,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,4,3,1,7,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,3,1,6,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,3,1,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,3,1,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,1,8,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,4,1,7,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,1,6,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,1,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,1,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,8,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,4,1,7,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,6,8,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,3,2,8,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,4,3,2,6,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,3,2,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,3,2,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,2,8,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,4,2,7,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,2,6,8,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,2,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,2,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,4,3,8,7,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,4,3,7,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,3,6,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,3,7,6,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,3,6,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,3,8,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,4,3,7,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,4,3,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,4,3,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,2,1,4,8,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,4,7,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,4,6,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,4,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,4,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,4,8,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,1,4,7,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,4,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,4,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,4,8,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,4,6,8,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,4,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,4,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,4,8,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,3,4,7,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,4,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,4,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,4,8,7,6,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,4,7,8,6,5]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,4,6,8,7,5]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,4,7,6,8,5]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,4,6,7,8,5]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [5,4,3,2,1,8,7,6]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,4,3,2,1,7,8,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,3,2,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,4,2,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,4,2,1,7,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,5,2,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,5,2,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,4,3,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,4,5,3,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,5,3,1,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,1,8,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,5,4,1,7,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,5,4,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,2,5,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,5,1,7,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,5,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,2,5,1,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,5,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,3,5,1,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,5,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,3,4,5,1,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,1,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,4,3,2,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,4,3,2,7,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,5,3,2,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,5,3,2,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,5,4,2,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,5,2,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,5,2,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,4,5,3,8,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,5,4,3,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,4,5,3,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,4,5,3,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,5,4,8,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,5,4,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,5,4,8,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,3,5,4,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,3,5,4,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,5,4,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,3,2,1,5,7,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,3,1,5,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,1,5,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,1,5,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,5,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,3,2,5,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,3,2,5,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,2,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,4,3,5,8,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,3,5,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,3,5,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,4,3,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,2,1,4,5,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,4,5,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,4,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,4,5,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,4,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,4,5,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,4,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,4,5,8,7,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,4,5,7,8,6]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [6,5,4,3,2,1,8,7]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,6,4,3,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,6,5,3,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,6,3,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,6,3,2,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,5,4,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,6,4,2,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,5,2,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,6,5,2,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,3,6,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,3,6,2,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,5,6,2,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,5,4,3,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,6,4,3,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,6,5,3,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,6,5,4,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,2,5,6,4,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,6,5,4,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,5,6,4,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,2,6,5,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,2,6,5,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,6,5,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,3,2,6,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,5,2,6,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,2,6,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,4,3,6,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,3,6,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,6,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,2,5,6,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,5,6,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,5,6,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,6,1,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,5,4,3,2,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,5,4,6,3,2,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,6,5,4,2,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,4,5,6,2,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,6,5,4,3,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,5,6,4,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,6,5,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,4,6,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,5,6,3,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,5,6,3,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,1,6,5,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,6,5,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,5,6,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,5,6,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,3,6,5,4,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,5,6,4,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,3,2,1,6,5,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,2,1,6,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,1,6,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,4,1,6,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,4,1,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,4,2,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,3,6,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [1,2,4,3,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,4,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,4,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,4,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,3,4,6,5,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,4,3,2,1,6,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,3,2,1,6,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,4,2,1,6,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,5,2,1,6,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,2,1,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,4,3,1,6,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,3,1,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,1,6,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,5,4,1,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,1,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,3,2,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,5,4,2,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,5,3,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,5,4,3,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,5,4,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,2,4,1,5,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,3,2,5,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,2,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,3,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,2,1,4,5,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,4,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,4,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,4,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,4,5,6,8,7]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [5,7,6,4,3,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,7,6,5,3,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,4,7,6,3,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,7,6,3,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,6,5,7,3,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,7,6,4,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,6,7,4,2,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,7,6,5,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,7,6,5,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,3,7,6,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,4,7,6,2,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,5,4,7,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,5,6,4,7,2,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,3,6,5,7,2,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,6,5,4,3,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,6,7,5,4,3,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,5,7,6,4,3,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,5,6,7,4,3,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,6,7,5,3,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,5,6,4,7,3,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,5,4,6,7,3,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,5,6,7,3,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,7,6,5,4,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,6,7,5,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,7,6,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,6,5,7,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,6,7,4,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,7,6,5,4,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,3,6,7,5,4,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,5,7,6,4,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,6,5,7,4,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,5,6,7,4,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,3,2,6,7,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,6,7,5,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,6,7,5,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,7,6,5,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,4,6,7,5,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,4,3,2,7,6,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,3,2,7,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,4,2,7,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,5,2,7,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,2,7,6,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,7,6,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,2,5,7,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,5,7,6,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,7,6,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,5,6,4,2,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,4,6,2,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,5,4,6,3,7,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,2,6,5,4,7,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,5,6,4,7,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,4,3,6,5,7,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,6,5,7,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,5,4,6,7,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,6,5,4,3,2,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,7,5,4,3,2,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,6,5,7,4,3,2,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,5,6,7,4,3,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,7,6,5,3,2,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,4,6,7,5,3,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,6,4,7,3,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,4,6,7,3,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,6,7,5,4,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,5,7,6,4,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,6,5,7,4,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,5,6,7,4,2,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,4,6,7,5,2,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,5,4,7,6,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,3,5,7,6,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,5,7,6,2,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,5,4,6,3,7,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,6,5,4,7,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,4,3,6,7,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,5,3,6,7,2,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,4,5,6,7,2,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [2,1,7,6,5,4,3,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,5,6,7,4,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,5,6,7,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,7,6,5,4,3,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,6,7,5,4,3,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,5,7,6,4,3,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,5,6,7,4,3,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,6,7,5,3,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,5,6,4,7,3,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,5,4,6,7,3,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,5,6,7,3,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,2,1,7,6,5,4,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,5,7,6,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,3,1,6,7,5,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,5,6,7,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,7,6,5,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,6,7,5,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,5,7,6,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,5,6,7,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,6,7,5,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,7,6,5,4,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,6,7,5,4,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,5,7,6,4,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,6,5,7,4,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,5,6,7,4,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,2,4,1,7,6,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,1,6,7,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,7,6,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,6,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,3,2,7,6,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,3,2,6,7,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,2,6,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,3,6,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,2,1,4,7,6,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,3,1,4,6,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,4,7,6,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,4,7,6,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,4,6,7,5,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [5,4,3,2,1,7,6,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,3,2,1,7,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,4,2,1,7,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,2,1,7,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,5,3,1,7,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,1,7,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,4,5,1,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,4,3,2,7,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,5,3,2,7,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,5,4,2,7,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,5,2,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,5,4,3,7,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,4,5,3,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,2,1,5,4,7,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,1,5,4,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,5,4,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,3,5,4,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,2,4,1,5,7,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,3,2,5,7,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,2,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,3,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,1,4,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,4,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,4,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,4,5,7,6,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,6,5,4,2,1,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,3,6,5,2,1,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,6,5,3,1,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,5,6,3,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,5,6,4,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,3,2,6,5,1,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,3,6,5,1,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,5,4,3,2,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,5,6,4,3,2,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,6,5,3,2,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,4,6,3,2,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,5,6,3,2,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,5,6,4,2,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,4,3,6,5,2,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,4,3,6,2,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,5,3,6,2,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,4,3,5,6,2,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,4,5,6,2,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [2,1,5,6,4,3,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,6,5,3,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,5,4,3,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,4,6,5,3,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,5,6,3,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,2,1,5,6,4,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,6,5,4,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,5,6,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,6,5,4,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,5,6,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,5,4,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,5,6,4,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [2,4,3,1,6,5,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,1,6,5,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,1,6,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,4,3,6,5,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,3,6,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,4,6,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,4,6,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,4,6,5,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [3,5,4,2,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,5,4,3,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,4,5,3,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,2,5,4,1,6,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,5,4,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,4,3,5,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,5,4,3,2,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,5,3,2,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,4,5,2,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [2,1,5,4,3,6,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,5,3,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,4,3,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,1,5,4,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,5,4,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,5,4,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [2,4,3,1,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,4,3,2,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,4,2,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [2,1,4,3,5,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,3,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,3,2,4,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,3,4,8,6,7,5]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,5,8,6,7,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,7,5,6,4,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,7,5,6,8,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,8,5,6,7,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,8,5,7,6,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,8,6,5,7,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,8,6,7,5,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,4,5,8,6,7,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,7,5,6,8,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,8,5,6,7,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,4,8,6,5,7,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,6,4,5,7,8,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,7,4,5,6,8,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,8,4,5,6,7,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,8,4,6,7,5,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,8,4,7,6,5,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,8,5,4,6,7,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,8,5,6,4,7,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,8,5,6,7,4,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,8,6,5,4,7,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,8,7,5,6,4,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,3,2,7,5,6,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,8,5,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,8,6,5,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,8,6,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,4,2,8,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,4,5,8,6,7,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,4,8,5,6,7,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,6,4,5,2,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,6,4,5,7,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,7,4,5,6,2,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,7,4,5,6,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,8,4,5,6,7,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,8,4,6,5,7,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,8,5,4,6,7,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,8,5,4,7,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,8,5,6,7,4,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,8,5,7,6,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,3,8,6,5,7,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,3,8,7,5,6,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,4,3,5,8,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,3,8,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,3,8,5,7,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,3,8,6,5,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,3,8,6,7,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,3,4,2,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,5,3,4,2,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,3,4,2,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,3,4,6,2,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,3,4,6,7,2,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,5,3,4,6,7,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,6,3,4,5,8,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,3,4,5,6,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,3,4,5,6,7,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,3,4,6,7,5,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,6,3,5,4,2,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,6,3,5,4,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,3,5,4,6,2,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,3,5,4,7,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,3,5,6,4,7,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,3,5,6,7,4,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,3,5,7,6,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,3,6,5,4,8,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,3,6,5,4,7,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,3,7,5,6,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,3,7,6,5,4,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,4,3,5,2,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,6,4,3,5,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,4,3,5,6,7,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,4,3,5,7,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,4,3,6,5,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,4,3,6,5,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,4,3,6,7,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,4,5,3,2,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,6,4,5,3,2,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,4,5,3,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,4,5,3,6,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,4,5,3,6,7,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,7,4,5,6,3,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,4,5,6,7,3,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,7,4,6,5,3,2,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,4,6,5,3,7,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,4,6,5,7,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,4,7,6,5,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,8,5,4,3,6,7,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,5,4,3,7,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,5,4,6,3,7,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,5,4,6,7,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,5,4,7,6,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,6,4,5,3,2,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,6,4,5,7,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,7,4,5,6,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,7,4,6,5,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,8,6,5,4,3,7,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,8,6,5,4,7,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,8,7,5,4,6,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,8,7,5,6,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,1,3,4,8,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,5,8,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,8,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,8,5,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,3,8,6,5,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,3,8,6,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,4,3,8,6,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,5,8,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,8,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,4,8,5,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,4,8,6,5,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,4,8,6,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,5,4,8,6,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,4,5,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,4,5,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,6,4,5,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,4,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,8,4,5,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,7,4,6,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,4,6,5,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,4,6,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,4,7,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,5,4,7,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,5,6,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,5,6,4,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,5,6,7,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,5,7,6,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,6,5,4,7,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,6,5,7,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,7,5,6,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,1,7,5,6,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,8,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,8,6,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,4,1,8,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,8,6,7,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,7,5,6,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,7,5,6,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,8,5,6,7,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,8,5,7,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,4,8,6,5,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,4,8,6,7,5,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,5,4,8,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,6,4,5,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,6,4,5,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,6,4,5,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,7,4,5,6,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,8,4,5,6,7,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,7,4,6,5,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,8,4,6,7,5,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,7,5,4,6,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,7,5,4,6,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,8,5,4,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,7,5,6,4,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,7,5,6,4,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,8,5,6,4,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,8,5,6,7,4,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,8,5,7,6,4,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,3,8,6,5,4,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,4,3,5,8,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,7,5,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,8,5,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,8,5,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,3,8,6,5,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,3,4,1,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,5,3,4,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,3,4,6,7,8,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,5,3,4,6,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,3,4,7,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,3,4,8,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,6,3,4,5,1,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,6,3,4,5,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,3,4,5,6,1,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,8,3,4,5,6,7,1]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,8,3,4,5,7,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,6,3,5,4,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,3,5,4,8,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,3,5,4,6,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,3,5,4,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,3,5,6,4,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,3,5,6,7,4,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,3,5,7,6,4,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,7,3,6,5,4,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,3,7,5,6,4,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,3,7,6,5,4,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,5,4,3,8,6,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,4,3,5,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,4,3,5,8,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,4,3,5,6,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,4,3,5,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,4,3,5,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,4,3,6,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,3,6,5,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,3,6,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,3,7,6,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,4,5,3,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,7,4,5,6,3,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,7,4,5,6,3,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,4,5,6,3,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,4,5,6,7,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,7,4,6,5,3,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,7,4,6,5,3,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,4,6,5,3,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,4,7,6,5,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,7,5,4,3,6,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,5,4,3,6,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,5,4,3,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,5,4,6,3,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,5,4,6,7,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,5,4,7,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,6,4,5,3,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,7,4,5,6,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,7,4,6,5,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,8,7,5,4,6,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,8,7,5,6,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,2,1,4,8,6,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,5,8,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,7,5,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,8,5,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,8,5,7,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,8,6,5,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,8,6,7,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,4,1,8,6,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,5,8,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,7,5,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,8,5,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,8,6,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,4,8,6,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,4,5,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,7,4,5,6,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,8,4,5,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,7,4,6,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,7,4,6,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,8,4,6,5,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,7,5,4,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,8,5,4,6,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,8,5,4,7,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,2,7,5,6,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,7,5,6,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,8,5,6,4,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,8,5,7,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,8,6,5,7,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,8,7,5,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,2,3,1,5,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,3,1,6,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,3,1,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,3,1,6,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,3,1,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,3,1,8,6,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,3,1,8,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,3,5,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,3,5,6,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,3,5,6,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,3,5,8,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,3,6,5,8,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,3,7,5,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,3,8,5,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,3,8,5,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,3,7,6,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,3,8,7,6,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,2,3,4,1,6,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,3,4,1,7,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,3,4,1,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,3,4,6,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,3,4,7,6,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,3,4,8,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,3,4,5,1,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,3,4,5,8,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,3,4,5,7,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,4,7,6,5,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,2,3,5,4,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,3,5,4,7,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,5,4,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,5,4,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,3,5,6,4,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,5,6,7,4,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,3,5,7,6,4,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,3,7,5,6,4,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,3,7,6,5,4,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,2,4,3,1,6,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,2,4,3,1,6,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,4,3,1,7,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,4,3,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,4,3,6,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,4,3,7,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,4,3,7,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,4,3,8,7,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,4,3,5,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,4,3,6,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,4,3,6,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,4,3,6,5,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,4,3,6,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,4,3,7,6,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,2,4,5,3,6,1,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,4,5,3,6,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,4,5,3,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,4,5,6,7,3,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,4,5,7,6,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,2,4,6,5,3,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,2,4,6,5,3,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,4,7,5,6,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,4,7,6,5,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,2,5,4,3,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,2,5,4,3,7,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,2,5,4,3,7,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,2,5,4,3,6,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,5,4,3,6,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,5,4,3,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,2,5,4,6,3,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,2,6,4,5,3,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,6,4,5,3,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,6,4,5,7,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,7,4,5,6,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,7,4,6,5,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,2,6,5,4,3,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,2,6,5,4,3,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,2,6,5,4,3,7,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,2,6,5,4,7,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,2,7,5,4,6,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,2,7,5,6,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,2,7,6,5,4,3,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [4,3,2,1,8,6,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,7,5,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,2,8,5,6,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,2,8,5,7,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,8,6,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,2,4,1,6,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,2,4,1,7,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,2,4,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,2,4,7,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,4,6,5,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,4,6,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,4,7,6,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,2,5,4,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,2,5,4,7,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,2,5,4,7,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,2,5,4,8,7,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,2,5,4,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,5,4,7,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,2,5,6,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,5,6,7,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,5,7,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,2,6,5,7,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,2,7,5,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,2,7,6,5,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,3,4,2,1,6,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,4,2,1,7,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,4,2,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,4,2,6,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,4,2,7,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,4,2,7,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,4,2,8,6,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,4,2,5,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,4,2,6,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,4,5,2,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,4,5,2,8,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,4,5,2,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,4,5,7,6,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,4,7,6,5,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,3,5,4,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,5,4,2,7,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,5,4,2,7,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,5,4,2,8,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,3,5,4,2,6,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,5,4,2,6,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,5,4,2,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,3,5,4,6,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,3,5,4,6,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,5,4,6,7,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,5,4,7,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,3,6,4,5,2,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,3,6,4,5,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,6,4,5,2,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,7,4,5,6,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,7,4,6,5,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,3,6,5,4,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,3,6,5,4,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,3,6,5,4,7,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,3,7,5,4,6,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,3,7,5,6,4,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,3,7,6,5,4,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [5,4,3,2,8,6,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,2,5,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,2,5,8,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,3,2,5,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,3,2,6,5,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,3,2,6,5,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,3,2,6,5,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,3,2,7,6,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,4,3,5,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,3,5,2,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,3,5,7,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,3,6,5,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,3,6,5,2,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,3,7,5,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,3,7,6,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,5,3,4,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,4,2,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,4,7,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,3,4,6,5,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,6,3,5,4,2,1,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,6,3,5,4,2,8,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,3,5,4,2,7,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,3,5,4,7,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,3,5,4,6,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,3,5,6,4,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,3,6,5,4,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,5,4,3,2,7,6,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,4,3,7,6,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,4,3,6,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,4,6,5,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [2,4,1,3,6,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,4,6,3,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,6,3,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,6,1,3,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,4,3,6,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,3,6,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,4,6,3,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,6,3,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,6,1,3,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,4,6,8,3,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,6,8,3,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,6,1,8,3,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,6,8,1,3,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,3,6,5,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,6,3,5,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,6,3,5,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,6,1,3,5,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,6,3,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,6,3,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,6,7,1,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,3,6,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,6,3,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,6,3,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,6,7,3,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,6,7,3,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,6,1,7,3,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,6,7,1,3,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,6,7,8,3,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,6,7,8,3,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,6,7,8,1,3,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,3,7,5,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,3,7,5,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,4,7,3,5,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,7,3,5,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,4,3,7,8,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,3,7,8,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,7,3,8,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,4,7,8,3,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,7,8,3,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,7,1,8,3,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,4,1,5,3,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,1,3,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,1,7,3,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,5,3,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,1,3,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,5,7,3,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,5,7,3,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,1,7,3,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,1,7,8,3,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,7,8,1,3,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,3,8,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,3,8,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,8,3,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,8,3,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,8,1,3,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,3,5,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,5,3,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,5,8,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,5,8,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,1,8,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,5,3,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,5,6,3,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,1,6,3,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,6,1,3,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,4,5,6,8,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,5,6,8,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,1,6,8,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,6,1,8,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,5,6,8,1,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,4,1,3,5,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,1,5,3,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,1,3,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,1,5,6,3,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,1,6,3,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,6,1,3,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,1,5,6,7,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,6,1,7,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,6,7,1,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,1,5,6,7,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,1,6,7,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,6,1,7,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,6,7,1,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,4,5,6,7,8,1,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,5,3,6,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,3,6,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,5,6,3,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,6,3,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,6,1,3,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,5,3,6,8,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,3,6,8,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,6,1,3,8,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,5,6,8,3,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,6,8,3,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,3,6,4,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,3,6,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,6,3,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,1,6,3,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,6,1,3,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,6,7,3,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,3,6,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,1,3,6,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,6,3,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,1,6,3,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,6,1,3,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,6,7,3,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,1,6,7,3,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,6,7,1,3,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,6,7,8,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,1,6,7,8,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,6,1,7,8,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,6,7,1,8,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,6,7,8,1,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,3,7,4,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,3,7,4,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,7,3,4,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,7,1,3,4,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,5,3,7,8,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,3,7,8,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,5,7,3,8,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,5,7,8,3,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,1,7,8,3,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,7,1,8,3,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,5,7,8,1,3,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,3,5,1,4,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,7,1,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,1,7,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,5,7,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,7,8,1,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,3,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,5,1,3,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,8,3,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,1,4,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,5,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,1,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,3,4,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,1,6,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,5,6,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,5,6,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,1,6,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,6,1,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,5,6,8,1,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,5,3,4,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,5,1,3,4,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,5,1,4,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,5,6,1,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,5,6,7,1,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,5,1,6,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,5,6,7,8,1,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,6,3,7,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,1,3,7,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,6,7,3,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,1,7,3,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,7,1,3,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,6,3,7,8,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,1,3,7,8,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,7,1,3,8,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,1,6,7,8,3,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,1,7,8,3,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,7,1,8,3,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,7,8,1,3,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [2,6,1,7,3,4,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,6,1,3,4,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,6,4,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,6,3,4,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,6,1,3,4,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,6,1,4,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,6,7,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,6,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,6,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,6,1,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,6,7,1,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,6,7,8,1,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,6,3,8,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,6,1,3,8,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,6,8,3,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,6,1,8,3,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,6,8,1,3,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,6,3,4,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,6,1,3,4,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,6,4,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,6,1,4,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,6,8,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,6,1,8,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,6,3,4,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,6,1,3,4,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,6,4,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,6,1,4,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,4,1,6,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,4,6,1,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,4,6,8,1,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,6,1,3,4,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,6,4,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,1,6,4,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,6,1,4,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,6,1,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,6,7,1,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,6,1,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,6,7,8,1,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,7,3,8,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,7,1,3,8,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,7,8,3,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,7,1,8,3,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,7,8,1,3,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,7,3,4,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,7,4,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,7,4,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,7,8,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,7,8,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,7,8,1,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,7,3,4,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,7,1,3,4,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,7,4,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,7,1,4,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,4,7,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,4,1,7,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,4,7,1,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,3,4,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,1,4,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,4,1,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,4,7,1,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,3,4,7,8,1,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [2,1,7,3,4,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,7,1,3,4,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,7,1,4,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,4,7,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,1,7,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,7,1,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,5,7,1,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,5,7,1,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,5,7,8,1,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,8,3,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,8,1,3,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,8,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,1,8,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,8,1,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,4,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,1,4,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,1,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,8,1,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,1,3,4,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,1,4,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,1,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,5,1,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,5,8,1,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [2,3,4,5,6,8,1,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,4,2,6,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,1,2,6,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,4,6,2,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,1,6,2,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,6,1,2,5,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,4,2,6,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,1,2,6,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,4,6,2,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,1,6,2,8,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,4,6,8,2,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,1,6,8,2,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,6,8,1,2,5,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,1,2,6,5,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,2,6,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,2,6,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,6,2,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,6,7,2,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,6,7,1,2,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,2,6,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,2,6,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,6,2,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,6,2,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,6,1,2,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,6,7,2,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,6,7,2,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,6,1,7,2,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,6,7,8,2,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,6,7,8,2,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,6,1,7,8,2,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,6,7,1,8,2,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,6,7,8,1,2,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,2,7,5,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,1,2,7,5,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,4,7,2,5,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,7,1,2,5,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,4,2,7,8,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,1,2,7,8,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,7,1,8,2,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,4,7,8,1,2,5,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,4,2,7,5,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,2,7,5,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,2,5,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,5,2,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,5,2,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,5,7,2,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,7,1,2,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,2,5,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,2,5,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,5,2,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,1,2,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,5,7,2,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,5,7,2,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,5,7,8,2,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,5,7,8,2,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,1,7,8,2,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,7,8,1,2,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,2,8,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,2,8,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,8,2,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,8,2,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,8,1,2,5,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,2,5,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,2,5,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,5,2,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,5,8,2,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,5,8,2,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,8,1,2,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,2,5,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,1,2,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,5,6,2,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,5,6,2,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,1,6,2,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,6,1,2,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,5,6,8,2,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,1,5,6,8,2,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,6,1,8,2,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,4,5,6,8,1,2,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,4,2,5,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,4,5,2,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,1,5,2,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,1,5,6,2,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,5,1,6,2,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,4,5,6,7,2,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,1,5,6,7,2,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,5,1,6,7,2,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,5,6,1,7,2,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,4,5,6,7,8,2]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,1,5,6,7,8,2]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,5,1,6,7,8,2]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,5,6,1,7,8,2]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,4,5,6,7,1,8,2]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,5,2,6,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,2,6,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,6,2,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,6,1,2,4,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,5,2,6,8,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,2,6,8,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,5,6,8,2,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,6,8,2,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,6,1,8,2,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,6,8,1,2,4,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,6,2,4,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,1,2,4,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,6,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,6,2,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,1,2,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,6,7,2,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,7,1,2,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,2,6,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,6,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,6,2,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,6,2,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,1,2,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,6,7,2,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,6,7,2,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,1,7,2,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,7,1,2,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,6,7,8,2,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,6,7,8,2,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,1,7,8,2,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,7,1,8,2,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,6,7,8,1,2,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,2,7,4,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,2,7,4,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,5,7,2,4,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,7,1,2,4,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,5,2,7,8,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,2,7,8,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,5,7,2,8,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,7,2,8,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,5,7,8,2,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,1,7,8,2,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,5,7,8,1,2,4,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,5,2,7,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,7,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,7,2,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,7,2,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,7,1,2,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,2,4,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,4,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,5,4,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,2,4,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,5,7,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,5,7,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,2,7,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,7,2,4,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,4,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,5,7,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,2,7,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,7,2,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,5,7,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,2,7,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,7,2,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,7,8,2,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,2,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,8,2,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,8,2,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,5,2,4,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,4,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,5,4,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,2,4,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,5,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,5,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,2,8,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,8,2,4,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,4,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,5,4,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,2,4,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,5,6,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,2,6,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,6,2,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,5,6,8,2,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,5,1,2,4,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,5,2,4,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,5,6,2,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,5,6,7,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,5,2,6,7,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,5,6,2,7,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,5,6,7,2,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,5,6,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,5,6,7,2,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,5,6,7,8,2,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,6,2,7,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,6,1,2,7,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,6,1,7,2,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,6,7,1,2,4,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,6,1,2,7,8,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,6,7,2,8,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,6,1,7,2,8,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,6,7,1,2,8,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,6,1,7,8,2,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,6,7,8,1,2,4,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [3,1,6,7,2,4,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,6,1,2,4,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,6,4,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,6,4,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,6,7,4,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,6,2,7,4,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,6,2,4,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,6,1,2,4,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,6,4,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,6,7,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,6,7,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,6,2,7,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,6,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,6,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,6,2,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,6,7,8,2,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,6,1,2,8,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,6,8,2,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,6,1,8,2,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,6,8,1,2,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,6,2,4,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,6,1,2,4,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,6,4,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,6,2,4,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,6,8,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,6,8,4,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,6,2,4,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,6,1,2,4,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,6,4,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,6,2,4,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,4,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,4,6,2,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,4,6,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,4,6,8,2,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,6,1,2,4,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,6,4,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,6,2,4,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,6,2,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,6,2,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,6,7,2,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,4,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,6,7,2,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,7,2,8,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,7,1,2,8,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,7,8,2,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,7,1,8,2,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,7,8,1,2,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,7,1,2,4,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,7,4,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,7,4,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,7,2,4,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,7,8,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,7,2,8,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,7,8,2,4,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,7,2,4,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,7,1,2,4,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,7,2,4,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,4,7,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,4,7,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,4,2,7,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,2,4,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,2,4,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,4,2,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,3,4,7,8,2,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [3,1,7,2,4,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,7,1,2,4,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,7,4,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,7,4,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,7,2,4,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,4,7,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,7,2,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,4,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,4,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,5,7,8,2,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,8,2,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,8,1,2,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,8,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,8,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,8,2,4,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,4,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,4,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,2,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,8,2,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,4,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,2,4,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,2,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,5,2,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,5,8,2,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [3,1,2,4,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,3,4,5,6,8,2,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,5,2,6,3,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,1,2,6,3,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,5,6,2,3,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,1,6,2,3,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,6,1,2,3,8,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,5,2,6,8,3,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,1,2,6,8,3,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,5,6,2,8,3,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,6,1,2,8,3,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,5,6,8,2,3,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,1,6,8,2,3,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,6,1,8,2,3,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,6,8,1,2,3,7]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,5,2,6,3,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,6,2,3,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,6,2,3,7,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,2,6,7,3,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,6,2,7,3,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,6,1,2,7,3,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,6,1,7,2,3,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,2,6,7,8,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,2,6,7,8,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,6,2,7,8,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,6,1,2,7,8,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,6,7,2,8,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,6,7,2,8,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,6,1,7,2,8,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,6,7,1,2,8,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,6,7,8,2,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,6,7,8,2,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,6,1,7,8,2,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,6,7,1,8,2,3]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,2,7,3,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,1,7,2,3,8,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,5,2,7,8,3,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,1,2,7,8,3,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,5,7,2,8,3,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,1,7,2,8,3,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,7,1,2,8,3,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,5,7,8,1,2,3,6]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,5,2,7,3,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,2,7,3,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,2,3,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,2,3,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,3,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,5,3,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,3,7,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,7,3,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,7,3,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,7,2,3,6,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,2,3,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,3,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,3,7,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,7,3,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,5,7,3,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,7,3,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,7,2,3,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,7,8,3,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,5,7,8,3,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,7,8,3,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,7,8,2,3,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,2,8,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,2,8,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,8,2,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,8,1,2,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,2,3,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,5,1,2,3,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,3,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,5,3,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,3,8,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,8,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,8,3,6,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,5,3,6,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,6,3,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,6,3,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,5,6,8,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,5,6,8,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,2,6,8,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,5,6,8,2,3,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,5,2,3,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,5,3,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,5,3,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,2,3,6,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,5,6,3,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,2,6,3,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,6,2,3,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,5,6,7,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,5,6,7,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,2,6,7,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,6,2,7,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,6,7,2,3,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,5,6,7,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,5,6,7,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,2,6,7,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,6,2,7,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,6,7,2,8,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,5,6,7,8,2,3]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,6,2,7,3,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,6,7,2,3,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,6,7,1,2,3,8,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,6,1,2,7,8,3,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,6,1,7,2,8,3,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,6,7,1,2,8,3,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,6,7,8,2,3,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,6,1,7,8,2,3,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,6,7,1,8,2,3,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,6,7,8,1,2,3,5]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [4,1,6,2,7,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,6,7,2,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,6,1,7,2,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,6,7,1,2,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,6,2,3,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,6,3,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,6,3,7,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,6,7,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,6,7,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,2,7,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,7,2,3,5,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,6,2,3,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,6,3,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,2,3,7,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,6,7,3,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,2,7,3,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,6,7,8,3,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,2,7,8,3,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,7,2,8,3,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,7,8,2,3,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,6,2,8,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,6,1,2,8,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,6,8,2,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,6,1,8,2,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,6,8,1,2,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,6,2,3,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,6,3,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,6,3,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,2,3,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,6,8,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,2,8,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,8,2,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,6,2,3,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,6,1,2,3,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,6,3,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,6,3,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,6,2,3,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,3,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,3,6,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,6,3,5,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,3,6,8,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,6,8,3,5,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,6,2,3,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,6,1,2,3,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,6,3,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,6,2,3,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,6,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,6,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,6,3,5,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,6,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,6,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,6,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,7,2,8,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,7,1,2,8,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,7,8,2,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,7,1,8,2,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,7,2,3,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,7,1,2,3,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,7,3,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,7,2,3,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,7,8,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,7,8,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,7,2,8,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,7,8,2,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,7,2,3,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,7,1,2,3,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,7,3,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,7,3,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,7,2,3,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,3,7,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,3,7,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,7,3,5,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,2,3,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,4,2,3,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,3,7,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,7,3,8,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,4,7,8,3,5,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [4,1,7,2,3,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,7,1,2,3,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,7,3,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,7,3,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,7,2,3,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,7,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,7,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,3,7,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,7,3,5,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,5,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,5,7,3,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,5,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,5,7,8,3,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,8,2,3,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,8,1,2,3,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,8,3,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,8,3,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,8,2,3,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,3,8,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,8,3,5,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,3,5,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,5,3,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,5,8,3,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [4,1,2,3,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,5,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,4,5,6,8,3,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,4,2,3,5,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [5,1,6,2,7,3,8,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,6,1,2,7,3,8,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,1,6,7,2,3,8,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,6,1,7,2,3,8,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,6,7,1,2,3,8,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,6,1,2,7,8,3,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,1,6,7,2,8,3,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,6,7,1,2,8,3,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,1,6,7,8,2,3,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,6,1,7,8,2,3,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,6,7,1,8,2,3,4]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>0001000 [5,1,6,2,7,3,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,6,1,7,2,3,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,6,2,3,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,6,3,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,6,3,7,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,6,7,3,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,6,7,3,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,7,2,3,4,8]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,6,2,3,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,6,1,2,3,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,6,3,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,6,3,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,2,3,7,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,6,7,3,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,7,2,3,8,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,6,7,8,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,6,7,8,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,2,7,8,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,7,2,8,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,7,8,2,3,4]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,6,2,8,3,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,6,1,2,8,3,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,6,1,8,2,3,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,6,8,1,2,3,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,6,2,3,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,6,1,2,3,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,6,3,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,6,3,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,2,3,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,6,8,3,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,6,8,3,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,2,8,3,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,8,2,3,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,6,2,3,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,6,1,2,3,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,6,3,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,6,2,3,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,3,6,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,5,3,6,4,8,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,3,6,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,3,6,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,5,6,3,8,4,7]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,6,2,3,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,6,3,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,6,3,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,6,2,3,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,3,6,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,6,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,3,6,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,6,3,4,7,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,3,6,7,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,6,7,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,6,3,7,4,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,3,6,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,6,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,3,6,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,6,3,7,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,6,7,3,8,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,6,7,8,3,4]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,7,2,8,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,7,1,2,8,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,7,8,2,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,7,1,8,2,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,7,8,1,2,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,7,3,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,7,3,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,7,2,3,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,7,8,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,7,8,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,7,2,8,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,7,8,2,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,7,2,3,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,7,1,2,3,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,7,3,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,7,3,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,7,2,3,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,3,7,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,3,7,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,5,3,7,4,8,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,2,3,7,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,5,2,3,7,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,5,7,3,8,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,5,7,8,3,4,6]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [5,1,7,2,3,4,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,7,1,2,3,4,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,7,3,4,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,7,4,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,3,7,4,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,7,3,4,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,4,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,3,4,7,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,5,7,4,6,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,3,4,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,4,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,3,4,7,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,5,7,4,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,5,7,8,4,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,8,1,2,3,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,8,3,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,8,3,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,8,2,3,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,3,8,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,8,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,3,8,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,8,3,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,3,4,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,4,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,3,4,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,5,4,8,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,5,8,4,6,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [5,1,2,3,4,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,4,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,5,3,4,6,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,5,6,8,4,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,5,2,3,4,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,5,3,4,6,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [6,1,7,2,8,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,7,1,2,8,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,7,8,2,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,7,1,8,2,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,7,2,3,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,7,1,2,3,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,2,7,3,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,6,2,7,3,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,6,7,2,3,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,2,7,8,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,6,2,7,8,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,6,7,2,8,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,6,7,8,2,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,7,2,3,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,7,1,2,3,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,2,7,3,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,6,2,7,3,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,2,3,7,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,6,2,3,7,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,6,3,7,4,8,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,2,3,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,6,2,3,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,6,3,7,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,6,7,3,8,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [1,2,6,7,8,3,4,5]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>0010000 [6,1,7,2,3,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,2,7,3,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,7,3,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,7,2,3,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,2,3,7,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,3,7,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,6,3,7,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,6,7,3,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,2,3,4,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,3,4,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,6,3,4,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,4,7,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,7,4,5,8]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,2,3,4,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,3,4,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,6,3,4,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,4,7,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,7,4,8,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,7,8,4,5]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,8,2,3,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,8,1,2,3,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,2,8,3,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,8,3,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,8,2,3,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,2,3,8,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,3,8,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,6,3,8,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,6,8,3,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,2,3,4,8,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,3,4,8,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,6,3,4,8,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,4,8,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,8,4,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [6,1,2,3,4,5,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,3,4,5,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,6,3,4,5,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,6,4,5,8,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,4,6,8,5,7]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,6,2,3,4,5,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,6,3,4,5,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,3,6,4,5,7,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [7,1,8,2,3,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [7,1,2,8,3,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,7,2,8,3,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,7,8,2,3,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [7,1,2,3,8,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,7,2,3,8,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,7,3,8,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,7,8,3,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [7,1,2,3,4,8,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,7,2,3,4,8,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,7,3,4,8,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,7,4,8,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,7,8,4,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [7,1,2,3,4,5,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,7,2,3,4,5,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,7,3,4,5,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,7,4,5,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,4,7,5,8,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,2,3,4,7,8,5,6]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>0100000 [1,7,2,3,4,5,6,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,7,3,4,5,6,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,3,7,4,5,6,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,3,4,7,5,6,8]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,8,2,3,4,5,6,7]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,8,3,4,5,6,7]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,3,8,4,5,6,7]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,3,4,8,5,6,7]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [1,2,3,4,5,8,6,7]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>1000000 [5,3,2,6,1,4,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,2,5,4,8,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,5,2,3,7,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,5,2,3,8,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,5,2,3,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,6,2,1,3,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,1,5,4,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,5,1,3,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,4,3,1,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,4,3,2,8,1,6]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,4,3,7,2,5,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,4,3,8,2,1,5]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,7,4,3,8,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,4,3,1,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,5,1,3,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,1,5,4,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,5,4,8,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,1,5,4,7,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,5,1,3,7,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,4,3,1,7,6,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,8,4,3,7,1,5,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,8,4,3,6,5,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,8,5,7,3,1,4,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,8,6,7,1,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,6,1,7,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,1,6,7,4,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,8,6,7,4,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,6,8,4,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,1,6,8,4,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,6,1,8,3,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,6,8,1,3,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,7,2,1,8,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,7,2,8,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,6,2,8,3,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,6,2,7,3,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,2,6,7,4,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,2,6,8,4,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,2,7,8,1,4,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,2,7,1,8,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,2,1,7,8,5,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,1,2,8,7,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,2,8,1,7,6,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,3,2,8,7,1,5,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,3,2,8,6,5,1,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,4,7,2,6,5,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,4,8,2,6,5,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,4,8,2,7,1,5,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,4,8,2,1,7,6,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [4,5,8,1,2,7,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,5,1,8,2,7,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,5,8,3,7,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,6,8,7,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,1,8,7,2,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,8,1,7,2,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,8,7,1,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,8,7,2,1,4,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,5,8,6,2,4,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,5,7,6,2,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,7,8,6,1,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,8,1,6,5,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,1,8,6,5,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,8,6,5,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,1,7,6,5,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,8,7,1,6,5,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,6,1,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,8,7,5,4,1,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,1,4,3,6,5,8,7,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,4,1,2,6,5,8,7,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,3,2,1,6,5,8,7,10,9]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [6,3,2,5,4,1,8,7,10,9]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [8,3,2,5,4,7,6,1,10,9]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [10,3,2,5,4,7,6,9,8,1]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [4,5,6,1,2,3,8,7,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,5,1,6,2,4,8,7,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,5,6,3,4,8,7,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,6,5,4,3,8,7,10,9]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [6,5,4,3,2,1,8,7,10,9]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [8,5,4,3,2,7,6,1,10,9]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [10,5,4,3,2,7,6,9,8,1]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [2,1,8,5,4,7,6,3,10,9]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [8,7,4,3,6,5,2,1,10,9]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [10,7,4,3,6,5,2,9,8,1]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [2,1,10,5,4,7,6,9,8,3]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [10,9,4,3,6,5,8,7,2,1]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [5,6,7,8,1,2,3,4,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,6,7,1,8,2,3,5,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,6,1,7,8,2,4,5,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,6,7,8,3,4,5,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,5,7,3,8,4,6,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,5,1,7,2,8,4,6,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,5,7,1,2,8,3,6,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,4,1,2,7,8,5,6,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,4,3,7,8,5,6,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,4,3,8,7,6,5,10,9]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [4,3,2,1,8,7,6,5,10,9]=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>010100100 [8,3,2,7,6,5,4,1,10,9]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [10,3,2,7,6,5,4,9,8,1]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [2,1,8,7,6,5,4,3,10,9]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [8,7,6,5,4,3,2,1,10,9]=>[2,2,1,1,1,1,1,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [10,7,6,5,4,3,2,9,8,1]=>[2,2,1,1,1,1,1,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [2,1,10,7,6,5,4,9,8,3]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [10,9,6,5,4,3,8,7,2,1]=>[2,2,1,1,1,1,1,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [2,1,4,3,10,7,6,9,8,5]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [4,3,2,1,10,7,6,9,8,5]=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>010100100 [10,3,2,9,6,5,8,7,4,1]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [2,1,10,9,6,5,8,7,4,3]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [10,9,8,5,4,7,6,3,2,1]=>[2,2,1,1,1,1,1,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [2,1,7,8,9,10,3,4,5,6]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,7,1,8,9,10,2,4,5,6]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,7,8,1,9,10,2,3,5,6]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [5,7,8,9,1,10,2,3,4,6]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [6,7,8,9,10,1,2,3,4,5]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [5,6,8,9,1,2,10,3,4,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,6,8,1,9,2,10,3,5,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,6,1,8,9,2,10,4,5,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,6,8,9,3,10,4,5,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,5,8,3,9,10,4,6,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,5,1,8,2,9,10,4,6,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,5,8,1,2,9,10,3,6,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,4,1,2,8,9,10,5,6,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,4,3,8,9,10,5,6,7]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,4,3,7,9,5,10,6,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,4,1,2,7,9,5,10,6,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,5,7,1,2,9,3,10,6,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,5,1,7,2,9,4,10,6,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,5,7,3,9,4,10,6,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,6,7,9,3,4,10,5,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,6,1,7,9,2,4,10,5,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,6,7,1,9,2,3,10,5,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [5,6,7,9,1,2,3,10,4,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,5,6,3,4,9,10,7,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,5,1,6,2,4,9,10,7,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [4,5,6,1,2,3,9,10,7,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [3,4,1,2,6,5,9,10,7,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,4,3,6,5,9,10,7,8]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,1,4,3,6,5,10,9,8,7]=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>110001000 [4,3,2,1,6,5,10,9,8,7]=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>010100100 [6,3,2,5,4,1,10,9,8,7]=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>010100100 [10,3,2,5,4,9,8,7,6,1]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [2,1,6,5,4,3,10,9,8,7]=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>010100100 [6,5,4,3,2,1,10,9,8,7]=>[2,2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>110101010 [10,5,4,3,2,9,8,7,6,1]=>[2,2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>110101010 [2,1,10,5,4,9,8,7,6,3]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [10,9,4,3,8,7,6,5,2,1]=>[2,2,1,1,1,1,1,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [2,1,4,3,10,9,8,7,6,5]=>[3,3,1,1,1,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>111100100 [4,3,2,1,10,9,8,7,6,5]=>[2,2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>110101010 [10,3,2,9,8,7,6,5,4,1]=>[2,2,1,1,1,1,1,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [2,1,10,9,8,7,6,5,4,3]=>[2,2,1,1,1,1,1,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [9,10,8,7,6,5,4,3,1,2]=>[2,2,1,1,1,1,1,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>111111010 [10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>111111111 [4,2,5,1,3,6,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,6,1,3,5,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,6,1,2,4,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,4,1,3,5,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,5,1,2,4,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,7,1,2,4,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,7,1,2,3,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,7,1,3,4,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,7,1,2,4,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,7,1,2,3,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,5,1,2,4,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,6,1,2,4,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,6,1,2,3,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,8,1,4,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,8,1,3,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,8,1,2,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,8,1,3,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,8,1,2,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,8,1,2,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,8,1,2,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,2,8,1,3,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,8,1,2,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,8,1,2,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,5,8,1,2,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,4,1,3,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,5,1,2,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,6,1,2,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,7,1,2,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,4,7,1,2,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,5,7,1,2,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,7,1,4,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,7,1,3,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,4,7,1,3,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,7,1,3,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,6,7,1,3,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,5,7,1,3,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,8,1,3,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,4,8,1,3,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,8,1,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,6,8,1,3,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,4,8,1,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,4,8,1,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,5,8,1,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,5,8,1,2,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,7,8,1,4,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,7,8,1,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,7,8,1,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,7,8,1,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,7,8,1,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,2,4,8,1,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,4,8,1,2,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,5,8,1,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,5,8,1,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,6,8,1,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,4,6,1,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,5,6,1,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,5,7,1,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,6,7,1,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,6,7,1,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,2,5,1,3,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,3,5,1,2,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,2,5,1,4,6,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,7,3,5,1,2,6,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,2,6,1,4,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,7,3,6,1,2,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,2,6,1,3,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,2,5,1,3,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,2,5,1,3,6,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,2,4,1,3,6,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,3,4,1,2,6,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,3,6,1,2,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,4,6,1,2,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,3,5,1,2,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,8,2,7,1,4,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,2,7,1,3,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,3,7,1,2,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,2,7,1,3,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,3,7,1,2,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,2,7,1,3,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,5,7,1,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,2,4,1,3,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,2,5,1,3,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,3,5,1,2,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,4,6,1,2,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,2,6,1,5,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,2,6,1,4,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,2,5,1,4,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,2,4,1,3,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,2,7,1,5,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,2,7,1,4,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,2,7,1,4,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,2,7,1,3,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,3,7,1,2,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,2,7,1,3,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,3,7,1,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,2,5,1,4,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,2,5,1,3,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,2,6,1,4,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,3,6,1,2,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,2,6,1,3,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,3,6,1,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,2,8,1,5,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,2,8,1,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,3,8,1,2,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,2,8,1,3,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,3,8,1,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,2,8,1,4,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,2,8,1,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,3,8,1,2,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,3,8,1,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,4,8,1,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,2,8,1,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,5,1,4,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,5,1,3,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,6,1,4,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,6,1,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,3,6,1,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,2,4,1,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,2,5,1,3,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,7,1,4,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,7,1,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,3,7,1,2,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,2,7,1,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,3,7,1,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,3,7,1,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,4,1,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,5,1,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,3,5,1,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,6,1,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,3,6,1,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,4,6,1,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,2,4,8,1,3,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,2,5,8,1,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,3,5,8,1,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,2,4,8,1,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,3,4,8,1,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,3,6,8,1,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,2,6,8,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,4,6,8,1,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,3,4,8,1,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,3,5,8,1,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,8,2,5,7,1,4,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,3,5,7,1,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,2,4,7,1,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,8,2,6,7,1,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,2,6,7,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,3,6,7,1,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,8,2,5,7,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,8,2,4,6,1,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,8,2,5,6,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,8,3,5,6,1,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,2,6,8,1,5,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,2,6,8,1,4,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,3,6,8,1,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,2,5,8,1,4,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,5,8,1,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,2,4,8,1,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,2,7,8,1,5,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,2,7,8,1,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,2,7,8,1,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,3,7,8,1,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,2,7,8,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,7,8,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,2,5,8,1,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,3,5,8,1,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,2,6,8,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,3,6,8,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,2,4,8,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,2,5,7,1,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,2,4,7,1,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,2,6,7,1,4,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,2,6,7,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,3,6,7,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,2,4,7,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,2,4,6,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,3,4,6,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,2,5,6,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,7,2,6,1,5,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,2,6,1,5,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,8,2,6,1,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,2,6,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,3,6,1,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,2,5,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,3,5,1,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,8,2,4,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,8,3,4,1,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,2,7,1,5,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,8,2,7,1,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,2,7,1,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,3,7,1,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,2,7,1,4,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,2,7,1,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,8,2,5,1,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,8,3,5,1,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,2,4,1,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,2,6,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,4,6,1,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,8,2,5,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,8,3,5,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,2,4,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,3,5,1,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,2,4,1,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,7,2,6,1,4,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,2,6,1,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,3,6,1,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,2,6,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,7,2,4,1,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,7,2,5,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,7,3,5,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,3,2,7,1,6,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,2,7,1,5,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,3,2,7,1,4,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,4,2,7,1,3,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,3,2,6,1,4,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,4,2,6,1,3,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,3,2,8,1,6,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,3,2,8,1,4,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,4,3,8,1,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,3,2,8,1,4,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,4,2,8,1,3,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,2,8,1,4,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,3,8,1,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,5,2,8,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,2,6,1,4,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,4,2,6,1,3,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,5,2,4,1,3,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,2,7,1,4,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,3,2,7,1,4,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,3,7,1,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,3,2,6,1,4,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,2,6,1,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,3,6,1,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,2,6,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,6,2,4,1,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,6,2,5,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,6,3,5,1,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,3,7,2,6,1,5]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,8,3,7,2,6,1,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,8,4,7,3,6,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,8,3,7,2,5,1,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,8,4,7,2,5,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,8,5,7,2,4,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,8,4,6,3,5,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,8,5,6,2,4,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,4,3,8,2,7,1,6]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,4,3,8,2,7,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,3,8,2,7,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,4,8,3,7,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,3,8,2,6,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,5,3,8,2,6,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,5,4,8,2,6,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,6,3,8,2,5,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,6,4,8,2,5,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,4,3,7,2,6,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,3,7,2,6,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,4,7,2,6,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,4,7,3,6,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,6,3,7,2,5,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,6,4,7,2,5,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,6,4,7,3,5,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,6,5,7,2,4,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,3,6,2,5,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,4,6,2,5,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,4,6,3,5,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,5,6,2,4,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,4,3,2,8,1,7]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,5,4,2,8,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,4,3,2,7,1,6]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,4,3,2,6,1,5]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,5,3,2,6,1,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,5,4,2,6,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,6,3,2,5,1,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,6,4,2,5,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,6,5,2,4,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,1,2,3,4,7,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,1,2,3,6,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,1,2,3,7,4,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,1,2,3,6,4,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,2,3,8,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,3,6,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,8,3,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,5,3,4,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,1,2,5,3,4,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,6,3,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,1,2,6,3,4,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,2,5,3,8,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,5,3,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,6,3,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,2,5,3,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,8,6,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,8,7,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,7,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,2,5,6,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,5,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,7,6,3,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,1,2,5,6,3,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,5,8,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,2,8,6,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,2,5,6,7,3,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,8,2,4,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,8,2,6,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,8,2,7,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,7,2,6,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,2,8,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,2,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,2,3,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,1,4,2,3,5,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,4,2,3,8,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,4,2,3,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,4,2,3,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,5,2,3,4,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,1,5,2,3,4,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,7,2,3,4,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,1,5,2,3,8,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,5,2,3,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,8,2,3,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,5,2,3,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,4,2,8,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,4,2,7,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,2,6,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,4,2,7,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,4,2,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,5,2,6,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,5,2,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,8,2,6,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,5,2,6,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,4,2,6,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,4,2,8,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,1,4,2,6,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,5,2,6,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,4,2,6,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,4,8,2,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,5,2,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,7,5,2,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,6,2,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,7,6,2,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,5,2,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,5,2,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,6,2,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,5,2,7,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,5,2,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,4,5,2,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,6,2,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,4,8,2,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,4,6,2,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,6,5,2,3,4,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,1,8,5,2,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,8,6,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,6,5,2,3,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,4,5,2,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,5,2,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,6,2,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,6,5,2,7,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,4,5,2,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,4,8,6,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,8,7,2,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,7,6,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,5,6,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,5,7,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,7,6,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,7,5,6,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,5,6,2,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,4,5,7,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,7,6,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,5,6,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,5,6,2,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,4,5,8,7,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,8,6,7,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,5,6,7,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,5,6,7,2,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,1,3,4,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,1,3,6,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,1,3,7,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,1,3,6,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,1,3,8,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,3,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,8,3,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,5,3,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,1,5,3,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,6,3,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,1,6,3,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,5,3,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,5,3,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,5,3,7,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,8,6,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,8,7,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,7,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,5,6,3,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,5,7,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,7,6,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,1,5,6,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,5,8,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,8,6,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,5,6,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,1,2,4,5,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,1,2,4,8,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,1,2,4,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,1,2,4,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,1,2,8,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,1,2,7,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,2,6,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,1,2,7,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,1,2,6,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,2,6,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,2,8,7,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,1,2,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,2,6,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,1,2,3,5,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,1,2,3,8,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,4,1,2,3,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,1,2,3,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,1,2,3,4,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,1,2,3,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,1,2,3,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,1,2,8,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,1,2,7,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,2,6,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,4,1,2,7,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,1,2,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,1,2,6,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,1,2,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,1,2,6,3,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,7,1,2,6,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,1,2,6,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,1,2,8,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,4,1,2,6,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,1,2,6,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,1,2,6,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,1,8,2,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,1,7,2,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,6,2,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,8,2,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,1,6,2,7,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,5,2,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,1,5,2,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,6,2,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,1,8,2,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,1,6,2,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,1,5,2,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,5,2,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,6,2,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,1,5,2,7,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,5,2,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,1,5,2,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,6,2,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,1,8,2,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,1,6,2,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,1,5,2,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,1,5,2,3,4,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,7,1,6,2,3,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,7,1,5,2,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,1,5,2,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,5,2,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,6,2,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,1,5,2,7,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,1,5,2,7,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,5,8,2,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,5,7,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,8,6,2,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,1,8,7,2,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,1,7,6,2,8,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,1,5,6,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,5,7,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,7,6,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,1,5,6,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,5,6,2,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,5,7,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,7,6,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,1,5,6,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,4,1,5,6,2,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,5,6,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,5,8,7,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,1,8,6,7,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,1,5,6,7,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,5,6,7,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,5,6,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,1,4,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,1,6,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,1,7,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,7,1,6,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,5,1,8,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,1,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,1,3,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,4,1,3,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,4,1,3,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,1,3,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,4,1,3,7,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,5,1,3,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,5,1,3,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,7,1,3,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,6,5,1,3,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,5,1,3,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,8,1,3,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,5,1,3,7,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,4,1,8,3,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,4,1,7,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,1,6,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,1,7,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,4,1,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,5,1,6,3,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,5,1,7,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,8,1,6,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,5,1,6,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,4,1,6,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,4,1,8,7,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,8,4,1,6,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,5,1,6,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,4,1,6,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,4,1,2,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,4,1,2,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,4,1,2,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,4,1,2,7,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,5,1,2,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,7,1,2,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,5,1,2,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,5,1,2,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,8,1,2,7,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,5,1,2,7,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,4,1,2,3,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,4,1,2,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,4,1,2,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,5,1,2,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,5,1,2,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,4,1,2,8,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,4,1,2,7,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,4,1,2,7,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,5,1,2,7,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,4,1,2,7,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,4,1,8,2,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,4,1,7,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,4,1,6,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,4,1,7,2,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,4,1,6,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,5,1,6,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,5,1,7,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,8,1,6,2,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,5,1,6,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,5,4,1,6,2,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,4,1,7,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,4,1,6,2,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,5,1,6,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,5,4,1,6,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,4,1,6,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,4,1,8,7,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,4,1,6,7,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,5,1,6,7,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,5,4,1,6,7,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,4,1,6,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,8,1,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,5,1,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,7,5,1,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,6,1,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,7,6,1,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,6,5,1,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,5,1,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,6,1,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,6,5,1,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,4,5,1,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,4,5,1,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,6,1,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,4,8,1,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,4,6,1,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,6,5,1,3,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,8,5,1,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,8,6,1,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,6,5,1,3,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,6,4,5,1,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,5,1,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,6,1,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,6,5,1,7,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,6,4,5,1,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,4,5,1,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,4,6,1,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,6,5,1,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,8,5,1,2,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,8,6,1,2,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,6,5,1,2,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,4,5,1,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,4,5,1,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,4,5,1,7,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,4,6,1,7,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,6,5,1,7,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,4,5,1,7,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,4,5,1,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,8,6,1,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,8,7,1,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,7,6,1,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,5,6,1,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,5,7,1,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,7,6,1,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,7,5,6,1,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,4,5,6,1,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,4,5,7,1,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,7,6,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,8,7,5,6,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,4,5,6,1,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,4,5,7,1,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,4,7,6,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,7,5,6,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,4,5,6,1,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,5,8,7,1,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,8,6,7,1,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,5,6,7,1,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,4,5,6,7,1,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [9,1,2,3,4,5,6,7,8]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [8,1,2,3,4,5,6,9,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [7,1,2,3,4,5,9,6,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [9,1,2,3,4,5,8,6,7]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [7,1,2,3,4,5,8,9,6]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [6,1,2,3,4,9,5,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [6,1,2,3,4,8,5,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [9,1,2,3,4,7,5,6,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [9,1,2,3,4,8,5,6,7]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [8,1,2,3,4,7,5,9,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,1,2,3,4,7,9,5,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [6,1,2,3,4,9,8,5,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,2,3,4,7,8,5,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,1,2,3,4,7,8,9,5]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [5,1,2,3,9,4,6,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [5,1,2,3,8,4,6,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [8,1,2,3,9,4,5,6,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [5,1,2,3,9,8,4,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,2,3,6,8,4,5,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [5,1,2,3,6,9,8,4,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [5,1,2,3,6,7,8,9,4]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [4,1,2,8,3,5,6,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [4,1,2,9,3,5,8,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [4,1,2,9,3,8,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,2,8,3,4,5,6,7]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [7,1,2,8,3,4,5,9,6]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [4,1,2,5,9,3,6,7,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [4,1,2,8,9,3,5,6,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [8,1,2,5,9,3,4,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [8,1,2,9,6,3,4,5,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [4,1,2,5,9,8,3,6,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,1,2,8,6,7,3,4,5]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [4,1,2,5,6,7,9,3,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [4,1,2,9,6,7,8,3,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,1,2,5,6,7,8,3,4]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [4,1,2,5,6,7,8,9,3]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,1,9,2,4,5,6,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,1,8,2,4,5,6,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [3,1,9,2,4,5,8,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [8,1,4,2,3,5,6,9,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,4,2,3,5,8,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,1,4,2,3,7,8,9,5]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,8,2,3,4,5,6,7]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [8,1,7,2,3,4,5,9,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [3,1,4,9,2,5,6,7,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [3,1,4,9,2,5,8,6,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [3,1,9,8,2,4,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,4,5,2,3,6,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [7,1,4,5,2,3,8,9,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [7,1,4,9,2,3,5,6,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,4,8,2,3,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,6,5,2,3,4,7,8]=>[6,1,1,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [7,1,9,6,2,3,4,5,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,8,6,2,3,4,5,7]=>[6,1,1,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [7,1,8,9,2,3,4,5,6]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [3,1,4,8,9,2,5,6,7]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [3,1,8,9,7,2,4,5,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [8,1,4,5,6,2,3,9,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [8,1,4,9,7,2,3,5,6]=>[5,2,2]=>[[1,2,7,8,9],[3,4],[5,6]]=>01010000 [8,1,9,5,6,2,3,4,7]=>[5,2,2]=>[[1,2,7,8,9],[3,4],[5,6]]=>01010000 [8,1,9,7,6,2,3,4,5]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [7,1,4,5,6,2,8,9,3]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [3,1,4,5,6,9,2,7,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [3,1,4,5,6,8,2,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [3,1,4,9,8,7,2,5,6]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [3,1,9,8,6,7,2,4,5]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [9,1,4,5,6,7,2,3,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,1,4,8,6,7,2,3,5]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [9,1,8,5,6,7,2,3,4]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [8,1,4,5,6,7,2,9,3]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [3,1,4,5,6,7,9,2,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [3,1,4,9,6,7,8,2,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [3,1,9,5,6,7,8,2,4]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,1,4,5,6,7,8,2,3]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [3,1,4,5,6,7,8,9,2]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,9,1,3,4,5,6,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,8,1,3,4,5,6,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,7,1,3,4,5,9,6,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,9,1,3,4,5,8,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,7,1,3,4,5,8,9,6]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,6,1,3,4,9,5,7,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,9,1,3,4,8,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,8,1,3,9,4,5,6,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,9,1,3,8,7,4,5,6]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [2,9,1,3,6,7,8,4,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,5,1,3,6,7,8,9,4]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,4,1,6,3,8,5,9,7]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,9,1,8,3,4,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,7,1,6,3,4,8,9,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,6,1,5,3,7,8,9,4]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,4,1,5,9,3,6,7,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,4,1,8,9,3,5,6,7]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,8,1,9,7,3,4,5,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,9,1,8,6,7,3,4,5]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [2,4,1,5,6,7,9,3,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,4,1,5,6,9,8,3,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,9,1,5,6,7,8,3,4]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,4,1,5,6,7,8,9,3]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [9,3,1,2,4,5,6,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [8,3,1,2,4,5,6,9,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,3,1,2,4,5,8,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,3,1,2,4,7,8,9,5]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,3,1,2,6,7,8,4,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [5,3,1,2,6,7,8,9,4]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,4,1,2,3,5,6,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [7,4,1,2,3,5,8,9,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,4,1,2,3,7,8,9,5]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [5,9,1,2,3,4,6,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [5,8,1,2,3,4,6,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [5,7,1,2,3,4,8,9,6]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [9,6,1,2,3,4,5,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [8,6,1,2,3,4,5,9,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,7,1,2,3,4,5,6,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [8,9,1,2,3,4,5,6,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [8,7,1,2,3,4,5,9,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,6,1,2,3,4,8,5,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,7,1,2,3,4,8,5,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [7,6,1,2,3,4,8,9,5]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [5,9,1,2,3,8,4,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,8,1,2,3,7,4,5,6]=>[6,1,1,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [8,6,1,2,3,7,4,9,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,6,1,2,3,7,8,4,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [5,6,1,2,3,7,8,9,4]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [5,4,1,2,9,3,6,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [8,4,1,2,9,3,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [5,8,1,2,9,3,4,6,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [9,7,1,2,6,3,8,4,5]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [9,8,1,2,6,7,3,4,5]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [5,4,1,2,6,7,9,3,8]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [5,4,1,2,6,7,8,9,3]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [4,3,1,9,2,5,6,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,3,1,8,2,4,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,4,1,8,2,3,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,9,1,5,2,3,4,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,7,1,6,2,3,4,5,8]=>[6,1,1,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [8,7,1,9,2,3,4,5,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [8,7,1,6,2,3,4,9,5]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [9,8,1,6,2,7,3,4,5]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [9,8,1,7,6,2,3,4,5]=>[5,1,1,1,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>11110000 [4,3,1,5,6,8,2,9,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [4,3,1,5,9,8,2,6,7]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [4,3,1,5,8,7,2,9,6]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [8,9,1,5,6,7,2,3,4]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [4,3,1,5,6,7,9,2,8]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [4,3,1,5,6,9,8,2,7]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [9,3,1,5,6,7,8,2,4]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,4,1,5,6,7,8,2,3]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [4,3,1,5,6,7,8,9,2]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,9,1,4,5,6,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,8,1,4,5,6,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,3,9,1,4,5,8,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,9,1,4,7,8,5,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,3,9,1,8,7,4,5,6]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [2,3,8,1,6,7,4,9,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,3,5,1,6,7,9,4,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,3,9,1,6,7,8,4,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,3,5,1,6,7,8,9,4]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,9,4,1,3,5,6,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,6,4,1,3,7,8,9,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,9,5,1,3,4,6,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,6,9,1,3,4,5,7,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,9,7,1,3,4,5,6,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,9,8,1,3,4,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,6,7,1,3,4,8,9,5]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,9,4,1,6,3,5,7,8]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,8,4,1,9,3,5,6,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,9,4,1,6,3,8,5,7]=>[4,4,1]=>[[1,3,4,5],[2,7,8,9],[6]]=>10001000 [2,9,8,1,7,3,4,5,6]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [2,9,5,1,6,7,8,3,4]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,3,4,1,2,5,6,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,3,4,1,2,7,8,9,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,3,7,1,2,4,5,6,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,3,8,1,2,4,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,5,4,1,2,3,6,7,8]=>[6,1,1,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [8,5,4,1,2,3,6,9,7]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [6,9,4,1,2,3,5,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,8,4,1,2,3,5,9,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,7,4,1,2,3,5,6,8]=>[6,1,1,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [9,8,4,1,2,3,5,6,7]=>[6,1,1,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [6,9,5,1,2,3,4,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,8,5,1,2,3,4,9,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [8,7,5,1,2,3,4,9,6]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [6,7,9,1,2,3,4,5,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [6,9,8,1,2,3,4,5,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,7,8,1,2,3,4,5,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [6,7,8,1,2,3,4,9,5]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [6,5,4,1,2,8,3,9,7]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [7,8,9,1,6,2,3,4,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [7,8,5,1,6,2,3,9,4]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [5,3,4,1,6,8,2,9,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,3,4,1,8,7,2,5,6]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [8,3,4,1,6,7,2,9,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [8,5,4,1,6,7,2,9,3]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [5,3,4,1,9,7,8,2,6]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [9,3,5,1,6,7,8,2,4]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,5,4,1,6,7,8,2,3]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [5,3,4,1,6,7,8,9,2]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,9,1,5,6,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,9,1,5,8,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,9,1,7,8,5,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,3,4,6,1,7,8,9,5]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,9,5,1,4,6,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,9,6,1,4,5,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,7,9,1,4,5,6,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,3,9,8,1,4,5,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,9,5,1,7,4,6,8]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,3,9,6,1,7,8,4,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,9,4,5,1,3,6,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,7,4,5,1,3,8,9,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,9,8,6,1,3,4,5,7]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [2,7,8,9,1,3,4,5,6]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,8,9,6,1,7,3,4,5]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [2,9,6,5,1,7,8,3,4]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [7,3,4,5,1,2,8,9,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,3,4,8,1,2,5,6,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [7,3,4,8,1,2,5,9,6]=>[4,4,1]=>[[1,3,4,5],[2,7,8,9],[6]]=>10001000 [7,3,8,9,1,2,4,5,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,8,4,5,1,2,3,6,7]=>[5,2,1,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>11010000 [7,8,4,6,1,2,3,9,5]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [9,8,6,5,1,2,3,4,7]=>[5,1,1,1,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>11110000 [7,8,9,6,1,2,3,4,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [7,8,6,5,1,2,3,9,4]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [8,3,9,6,1,7,2,4,5]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [8,3,6,5,1,7,2,9,4]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [8,6,4,5,1,7,2,9,3]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [6,3,4,5,1,7,9,2,8]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [6,3,4,5,1,9,8,2,7]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [9,3,4,6,1,7,8,2,5]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [6,3,4,5,1,7,8,9,2]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,5,9,1,6,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,5,8,1,6,9,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,3,4,5,9,1,8,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,5,7,1,8,9,6]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,9,6,1,5,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,9,7,1,5,6,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,9,6,1,8,5,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,3,4,9,7,1,8,5,6]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,3,9,5,6,1,4,7,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,8,5,6,1,4,9,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,3,9,5,6,1,8,4,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,8,4,5,6,1,3,9,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,8,9,5,7,1,3,4,6]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [2,8,9,7,6,1,3,4,5]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [2,9,7,5,6,1,8,3,4]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [8,3,4,5,6,1,2,9,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [8,3,4,7,6,1,2,9,5]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [8,3,9,7,6,1,2,4,5]=>[4,2,2,1]=>[[1,3,8,9],[2,5],[4,7],[6]]=>10101000 [8,3,7,5,6,1,2,9,4]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [9,7,4,5,6,1,2,3,8]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [8,9,4,5,6,1,2,3,7]=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>01001000 [8,9,7,5,6,1,2,3,4]=>[4,2,2,1]=>[[1,3,8,9],[2,5],[4,7],[6]]=>10101000 [8,7,4,5,6,1,2,9,3]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [7,3,4,5,6,1,9,2,8]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,3,4,5,6,1,8,2,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,3,7,5,6,1,8,2,4]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [7,3,4,5,6,1,8,9,2]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,5,6,9,1,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,5,6,8,1,9,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,5,9,7,1,6,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,5,9,8,1,6,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,9,6,7,1,5,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,9,5,6,7,1,4,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,9,5,6,8,1,4,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,9,4,5,6,7,1,3,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,9,4,5,6,8,1,3,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [2,9,4,5,8,7,1,3,6]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [2,9,4,8,6,7,1,3,5]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [2,9,8,5,6,7,1,3,4]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [2,8,4,5,6,7,1,9,3]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,3,4,5,6,7,1,2,8]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,3,4,5,6,8,1,2,7]=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>10010000 [9,8,4,5,6,7,1,2,3]=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>11001000 [8,3,4,5,6,7,1,9,2]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,5,6,7,9,1,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,5,6,9,8,1,7]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,5,9,7,8,1,6]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,9,6,7,8,1,5]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,9,5,6,7,8,1,4]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,9,4,5,6,7,8,1,3]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [9,3,4,5,6,7,8,1,2]=>[6,2,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>10100000 [2,3,4,5,6,7,8,9,1]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 []=>[]=>[]=> [3,5,2,6,1,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,6,4,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,7,4,8,1,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,7,4,8,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,2,3,8,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,2,3,8,1,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,2,3,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,2,1,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,6,4,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,1,3,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,3,1,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,3,2,8,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,7,3,2,8,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,7,3,8,2,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,7,3,8,2,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,7,3,8,1,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,3,1,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,1,3,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,7,4,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,7,4,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,7,4,8,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,7,4,8,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,1,3,8,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,3,1,8,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,7,3,8,1,5,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,7,3,8,5,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,7,3,8,5,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,8,3,1,4,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,7,8,1,3,4,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,7,1,8,3,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,7,8,4,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,7,8,4,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,7,8,4,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,7,8,4,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,7,1,8,3,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,7,8,1,3,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,2,1,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,7,2,8,1,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,7,2,8,3,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,7,2,8,3,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,7,8,4,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,7,8,4,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,7,8,1,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,7,1,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,2,1,7,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,1,2,7,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,7,1,8,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,2,7,8,1,5,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,2,7,8,5,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,2,7,8,5,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,7,2,8,5,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,7,2,8,5,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,7,2,8,1,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,7,2,1,8,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,7,1,2,8,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,7,2,8,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,7,3,8,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,7,8,3,5,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,7,8,2,5,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,7,1,8,2,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,7,8,1,2,4,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,7,8,2,1,4,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,7,8,2,4,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,7,8,2,4,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,8,1,4,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,7,1,8,5,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,7,8,5,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,7,8,5,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,7,8,5,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,7,1,8,5,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,8,1,4,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,8,4,1,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,2,1,6,5,8,7,10,9]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [3,5,2,6,4,1,8,7,10,9]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [3,5,2,7,4,8,6,1,10,9]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [3,5,2,7,4,9,6,10,8,1]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [2,1,5,6,4,3,8,7,10,9]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [4,5,6,3,2,1,8,7,10,9]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [4,5,7,3,2,8,6,1,10,9]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [4,5,7,3,2,9,6,10,8,1]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [2,1,5,7,4,8,6,3,10,9]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [4,6,7,3,8,5,2,1,10,9]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [4,6,7,3,9,5,2,10,8,1]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [2,1,5,7,4,9,6,10,8,3]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [4,6,8,3,9,5,10,7,2,1]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [2,1,4,3,7,8,6,5,10,9]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [3,4,2,1,7,8,6,5,10,9]=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>010010000 [3,6,2,7,8,5,4,1,10,9]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [3,6,2,7,9,5,4,10,8,1]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [2,1,6,7,8,5,4,3,10,9]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [5,6,7,8,4,3,2,1,10,9]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [5,6,7,9,4,3,2,10,8,1]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [2,1,6,7,9,5,4,10,8,3]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [5,6,8,9,4,3,10,7,2,1]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [2,1,4,3,7,9,6,10,8,5]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [3,4,2,1,7,9,6,10,8,5]=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>010010000 [3,6,2,8,9,5,10,7,4,1]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [2,1,6,8,9,5,10,7,4,3]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [5,7,8,9,4,10,6,3,2,1]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [6,7,8,9,10,1,4,5,3,2]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [6,7,8,9,10,1,4,5,2,3]=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>010010000 [6,7,8,9,10,4,3,2,1,5]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [6,7,8,9,10,1,3,4,5,2]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [6,7,8,9,10,3,4,1,2,5]=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>010010000 [6,7,8,9,10,3,4,2,1,5]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [6,7,8,9,10,2,3,4,1,5]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [2,1,4,3,6,5,9,10,8,7]=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>100010000 [3,4,2,1,6,5,9,10,8,7]=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>010010000 [3,5,2,6,4,1,9,10,8,7]=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>010010000 [3,5,2,8,4,9,10,7,6,1]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [2,1,5,6,4,3,9,10,8,7]=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>010010000 [4,5,6,3,2,1,9,10,8,7]=>[5,2,2,1]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>101010000 [4,5,8,3,2,9,10,7,6,1]=>[5,2,2,1]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>101010000 [2,1,5,8,4,9,10,7,6,3]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [4,7,8,3,9,10,6,5,2,1]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [2,1,4,3,8,9,10,7,6,5]=>[5,3,1,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>110010000 [3,4,2,1,8,9,10,7,6,5]=>[5,2,2,1]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>101010000 [3,7,2,8,9,10,6,5,4,1]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [2,1,7,8,9,10,6,5,4,3]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [6,7,8,9,10,1,5,4,3,2]=>[5,2,1,1,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>111010000 [6,7,8,9,10,5,4,3,2,1]=>[5,1,1,1,1,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>111110000 [6,5,8,7,3,4,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [3,6,7,4,5,8,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,7,4,5,2,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,4,7,6,2,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,4,7,6,8,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,3,7,8,6,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,3,8,7,6,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,4,8,3,7,5,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,3,8,4,5,7,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,6,1,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,8,4,5,1,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,1,4,5,2,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,2,8,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,8,3,1,5,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,3,8,1,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,8,2,1,7,5,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,8,3,2,1,6,5,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,8,4,2,6,1,5,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,4,2,8,7,1,6,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [4,5,2,7,8,1,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,3,7,1,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,3,7,2,6,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,7,3,2,5,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,7,3,1,5,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,7,2,1,8,5,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,5,6,2,1,4,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,5,8,7,1,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,8,1,7,2,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,3,1,2,6,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,1,8,2,7,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,1,2,8,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,1,3,8,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,1,2,6,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,6,2,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,1,5,2,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,1,5,2,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,5,1,2,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,5,1,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,5,1,2,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,6,1,2,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,5,3,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,5,2,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,5,1,2,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,4,1,2,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,4,1,2,3,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,4,1,2,8,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,4,1,7,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,4,1,8,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,4,1,8,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,4,1,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,5,1,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,1,5,2,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,5,3,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,5,3,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,8,1,5,2,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,5,1,2,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,4,1,2,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,4,1,7,2,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,7,4,1,6,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,6,7,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,6,1,7,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,8,1,6,7,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,6,7,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,6,8,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,1,6,8,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,6,1,8,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,6,8,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,7,1,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,7,1,8,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,6,1,8,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,6,1,7,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,6,7,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,1,6,8,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,1,7,8,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,7,2,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,2,7,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,3,8,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,1,2,8,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,1,8,7,2,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,1,8,6,2,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,4,7,1,6,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,8,1,6,2,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,8,1,2,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,8,1,2,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,8,2,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,8,3,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,8,7,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,8,7,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,8,1,7,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,8,7,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,8,6,1,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,5,7,6,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,8,6,1,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,8,1,6,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,1,8,6,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,8,6,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,7,6,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,1,7,6,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,7,1,6,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,7,6,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,7,5,1,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,7,3,8,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,7,2,5,1,8,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,3,7,6,8,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,3,5,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,2,6,7,1,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,2,8,6,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,2,5,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,4,2,5,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,1,6,8,5,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,2,1,8,6,5,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,2,8,1,6,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,3,2,1,5,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,3,2,1,5,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,2,1,5,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,2,7,1,8,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,2,7,1,6,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,7,2,1,8,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,7,2,8,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,7,8,2,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,8,7,2,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,7,2,1,8,4,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,2,7,1,4,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,8,2,1,7,4,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,2,8,1,7,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,1,8,7,5,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,1,8,5,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,2,1,4,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,2,1,4,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,2,1,8,5,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,2,1,5,8,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,4,1,6,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,8,4,7,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,8,4,7,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,1,3,2,6,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,3,4,6,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,2,4,6,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,1,2,3,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,8,2,3,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,8,2,3,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,8,1,3,7,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,8,4,7,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,4,7,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,8,4,7,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,2,5,8,3,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,1,3,8,7,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,5,3,8,1,7,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,1,3,8,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,2,3,8,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,1,2,8,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,1,2,7,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,3,8,2,7,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,4,8,7,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,1,7,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,8,7,2,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,1,8,7,2,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,4,5,8,7,2,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,8,2,7,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,8,3,7,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,2,8,7,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,2,8,1,7,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,2,4,8,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,8,7,6,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,3,2,6,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,3,2,6,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,3,2,5,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,3,2,5,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,3,2,5,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,2,5,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,4,2,5,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,4,2,5,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,4,2,6,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,3,5,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,2,5,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,2,5,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,5,1,4,3,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,6,1,4,3,8,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,7,1,4,3,8,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,8,1,4,3,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,8,1,4,3,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,7,1,4,3,8,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,2,6,1,4,3,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,2,5,1,4,3,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,1,7,2,5,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,2,5,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,3,5,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,3,5,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,2,5,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,8,2,5,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,5,1,4,3,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,6,1,4,3,7,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,1,4,3,8,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,4,3,7,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,5,3,7,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,5,3,8,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,6,1,5,3,7,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,8,2,6,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,8,2,6,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,2,6,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,3,6,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,3,6,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,7,2,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,7,2,6,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,2,6,1,5,3,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,2,7,1,5,3,8,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,8,1,5,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,5,2,6,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,5,2,7,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,4,2,7,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,2,6,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,3,2,6,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,3,2,6,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,3,2,7,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,3,2,7,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,3,2,7,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,3,8,5,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,2,8,5,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,3,2,8,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,3,2,8,4,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,1,3,2,8,4,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,4,7,1,3,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,8,1,3,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,8,1,4,2,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,7,1,4,2,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,4,2,8,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,4,2,8,3,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,5,2,8,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,2,8,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,3,8,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,3,8,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,2,8,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,2,8,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,6,2,8,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,5,2,8,3,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,7,1,5,2,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,8,1,5,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,7,3,8,1,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,8,3,7,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,7,2,6,1,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,1,8,3,7,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,8,3,7,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,8,4,7,2,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,8,4,7,3,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,4,8,3,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,1,7,4,8,2,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,1,7,3,8,2,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,7,3,8,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,3,8,2,6,1,5,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,2,6,3,7,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,6,3,8,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,2,6,8,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,2,8,1,4,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,6,2,4,8,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,3,8,2,4,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,3,8,2,4,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,2,5,8,3,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,2,5,8,3,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,5,2,6,3,8,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,2,1,6,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,6,8,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,8,1,3,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,6,1,4,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,5,6,3,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,1,6,3,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,3,2,8,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,5,3,8,2,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,5,3,8,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,4,8,3,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,4,8,3,2,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,4,1,8,3,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,5,3,1,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,1,5,8,3,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,7,8,1,4,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,5,8,2,4,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,5,8,1,4,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,5,1,7,8,3,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,1,5,8,3,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,4,3,8,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,4,8,3,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,4,8,3,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,7,3,8,4,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,3,1,8,4,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,1,7,3,8,4,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,6,7,3,8,4,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,7,1,8,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,3,1,4,5,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,2,8,4,5,1,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,2,8,4,1,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,1,7,4,8,3,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,6,7,3,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,1,7,3,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,7,3,2,1,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,3,2,8,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,2,7,3,8,4,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,7,3,1,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,1,7,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,7,4,2,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,2,1,8,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,8,2,1,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,3,1,8,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,1,5,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,2,5,1,8,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,4,2,1,8,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,4,2,8,3,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,4,2,8,3,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,7,2,8,4,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,7,2,8,4,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,7,2,1,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,3,8,2,1,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,7,8,2,1,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,8,1,4,6,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,7,8,2,6,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,3,8,2,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,7,2,8,5,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,7,8,5,2,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,7,8,5,2,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,7,8,2,5,3,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,7,8,2,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,5,7,8,2,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,7,8,1,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,2,8,5,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,1,7,8,2,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,6,2,7,8,4,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,1,7,8,4,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,2,7,1,8,4,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,2,7,8,4,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,2,8,4,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,2,1,8,4,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,1,7,2,8,4,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,6,7,2,8,4,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,7,1,8,2,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,7,1,8,5,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,5,2,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,8,3,5,1,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,7,8,1,5,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,6,7,8,4,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,1,7,8,4,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,1,8,4,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,1,3,4,2,5,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,3,2,5,1,6,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,3,6,2,4,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,2,7,4,1,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,3,8,2,4,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,2,4,5,8,3,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,3,7,1,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,4,5,6,3,1,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,4,5,6,1,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,4,5,6,3,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,2,5,1,3,6,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,5,6,2,1,4,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,3,6,4,1,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,1,5,6,3,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,5,6,3,2,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,5,3,7,2,1,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,5,8,3,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,6,7,2,8,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,7,2,8,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,3,6,7,2,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,3,7,1,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,5,3,7,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,4,7,1,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,8,2,1,4,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,8,4,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,5,8,3,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,6,7,8,1,5,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,4,7,8,3,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,7,8,3,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,6,7,8,4,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,5,6,7,8,4,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,6,1,7,8,3,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,7,1,4,8,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,4,1,7,8,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,7,1,4,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,6,7,8,1,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,3,6,7,8,2,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,7,8,2,1,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,7,8,2,4,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,7,1,3,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,7,8,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,2,7,8,1,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,7,8,3,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,7,8,3,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,7,4,8,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,7,4,8,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,1,6,4,7,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,4,2,1,5,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,3,4,2,5,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,7,2,1,3,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,4,2,1,3,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,1,3,4,2,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,3,4,2,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,2,7,1,8,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,2,7,1,8,5,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,3,8,2,5,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,7,8,5,2,3,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,4,7,8,1,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,2,7,8,1,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,4,5,8,6,2,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,1,5,8,6,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,5,3,8,6,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,2,1,6,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,1,3,8,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,1,7,8,2,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,1,7,8,5,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,2,6,7,8,4,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,6,7,8,4,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,6,7,8,4,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,6,7,8,4,1,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,6,7,8,4,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,4,7,8,5,2,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,7,1,3,8,5,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,2,1,5,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,8,5,1,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,7,8,5,3,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,2,3,7,6,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,3,7,2,5,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,3,6,5,1,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,6,3,4,8,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,2,7,3,5,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,7,4,5,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,2,6,5,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,6,2,4,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,5,4,8,3,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,4,1,3,2,6]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,8,5,4,2,1,3,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,6,2,4,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,2,6,5,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,8,6,5,1,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,2,6,5,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,6,2,4,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,5,4,2,8,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,5,4,8,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,5,4,7,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,6,7,4,5,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,6,7,4,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,6,8,4,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,7,8,2,4,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,7,2,8,4,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,2,7,8,5,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,1,7,8,5,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,8,7,1,5,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,2,7,1,5,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,7,2,1,4,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,7,1,2,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,6,1,4,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,6,1,4,3,2,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,7,6,8,4,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,6,7,8,3,4,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,7,1,3,4,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,8,1,3,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,8,2,1,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,2,8,1,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,8,4,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,2,8,3,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,8,2,3,1,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,8,3,2,1,4,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,8,3,1,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,7,3,1,4,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,7,3,8,4,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,3,7,8,5,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,3,7,1,5,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,3,8,2,1,5,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,2,3,8,1,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,5,4,8,1,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,2,3,1,8,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,3,1,2,8,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,3,1,8,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,3,1,7,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,8,3,7,6,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,1,3,7,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,1,3,8,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,1,3,2,8,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,1,2,3,8,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,2,1,3,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,1,4,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,1,8,4,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,2,1,8,3,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,1,2,8,3,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,1,8,2,3,5,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,1,8,3,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,1,7,3,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,8,7,3,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,8,6,5,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,1,6,5,3,2,4]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,8,1,6,5,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,1,7,2,5,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,1,2,7,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,2,1,7,6,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,8,1,7,6,4,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,2,8,7,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,8,2,7,6,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,8,7,2,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,8,6,5,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,6,5,4,2,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,1,2,6,5,8,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,2,4,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,2,4,8,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,1,2,3,8,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,1,2,3,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,5,3,4,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,5,2,4,8,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,1,2,3,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,1,2,3,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,1,2,3,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,1,2,7,3,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,1,7,2,3,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,1,8,2,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,1,2,8,3,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,5,1,2,8,3,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,5,2,8,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,5,3,8,4,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,5,3,7,4,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,2,7,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,1,2,7,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,2,7,3,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,7,2,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,1,6,2,3,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,1,7,2,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,7,2,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,6,7,3,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,6,8,3,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,8,2,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,1,8,2,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,1,2,8,3,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,2,8,4,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,2,7,8,5,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,3,8,7,5,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,2,8,7,5,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,2,8,7,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,8,2,7,4,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,8,7,2,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,7,6,2,4,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,7,1,6,2,3,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,1,6,2,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,1,7,2,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,1,2,7,3,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,1,2,7,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,8,2,7,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,8,3,7,4,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,8,7,3,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,8,7,2,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,1,7,2,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,7,1,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,7,1,2,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,6,1,2,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,7,6,1,2,3,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,8,1,6,2,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,8,6,2,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,8,6,3,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,7,6,3,4,5,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,7,6,2,4,5,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,7,1,6,2,3,5,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,2,5,1,6,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,5,4,7,1,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,3,7,6,8,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,3,7,1,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,3,6,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,1,6,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,4,6,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,5,3,6,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,5,1,6,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,5,2,7,1,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,2,7,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,2,7,1,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,1,7,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,5,1,7,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,4,7,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,4,7,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,4,7,6,8,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,5,3,7,6,8,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,5,1,7,6,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,6,1,7,5,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,6,5,7,1,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,6,4,7,2,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,6,4,7,1,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,6,1,7,4,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,6,3,7,4,8,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,3,7,5,8,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,4,7,5,8,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,4,7,5,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,4,7,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,4,7,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,3,7,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,6,3,7,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,1,7,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,2,7,1,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,6,2,7,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,6,3,7,4,8,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,6,3,7,1,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,6,1,7,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,1,7,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,1,7,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,3,7,1,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,3,7,5,8,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,4,7,5,8,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,4,7,1,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,1,7,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,5,1,7,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,4,1,7,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,2,7,6,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,5,1,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,6,1,7,5,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,6,5,7,1,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,6,5,7,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,6,5,7,1,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,6,1,7,5,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,5,1,7,6,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,5,2,7,6,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,2,7,6,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,3,7,6,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,3,7,5,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,2,7,5,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,2,7,5,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,6,2,7,4,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,6,1,7,4,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,6,4,7,1,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,6,4,7,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,2,7,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,2,7,1,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,1,7,2,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,6,4,7,2,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,5,7,2,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,5,7,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,5,7,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,5,7,4,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,6,5,7,3,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,6,4,7,3,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,1,7,3,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,3,7,1,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,5,2,1,6,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,3,5,2,4,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,7,5,2,4,1,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,7,5,2,4,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,4,5,7,3,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,7,3,1,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,4,6,5,3,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,5,4,6,1,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,3,5,1,4,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,1,4,5,3,2,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,5,6,4,3,2,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,7,4,3,2,1,8,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,7,4,3,2,6,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,6,8,3,2,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,6,3,2,8,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,4,6,7,3,2,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,7,3,1,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,7,4,5,3,2,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,5,1,4,2,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,4,2,1,3,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,7,4,2,1,6,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,7,5,1,4,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,1,7,5,3,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,6,3,8,7,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,4,8,6,3,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,6,3,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [3,6,5,8,7,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,5,8,6,7,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,1,6,7,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,4,1,8,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,6,1,4,7,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,6,8,1,4,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,1,6,4,8,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,7,3,5,6,8,2,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,6,7,5,8,2,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,7,6,5,8,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,8,5,7,2,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,3,5,7,6,8,1,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,6,5,7,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,7,6,8,3,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,2,6,8,7,3,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,2,4,6,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,2,6,4,8,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,2,6,1,4,7,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,7,2,1,8,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,3,2,1,5,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,1,3,4,2,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,7,3,2,1,6,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,6,7,2,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,8,6,2,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,6,3,5,2,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,7,4,8,1,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,8,2,1,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,1,5,7,2,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,3,7,1,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,2,1,3,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,6,7,1,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,6,1,7,5,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,1,8,7,2,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,2,5,6,7,4,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,6,5,7,4,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,7,8,5,6,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,5,7,6,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,7,6,8,5,4,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,2,5,8,6,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,4,8,2,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,8,1,6,5,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,8,6,1,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,3,5,1,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,4,7,6,5,1,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,1,5,6,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,1,6,7,5,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,5,3,1,2,4,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,3,5,1,2,8,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,5,3,7,2,1,4,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,1,4,5,7,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,4,5,1,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,2,4,5,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,4,5,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,2,4,5,3,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,6,3,2,1,4,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,3,6,1,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,1,4,5,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,4,5,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,7,4,5,1,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,7,4,2,6,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,8,7,4,1,6,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,7,4,2,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,8,4,5,1,2,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,8,7,5,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,6,8,5,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,3,8,1,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,6,1,4,5,8,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,7,6,4,5,8,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,7,4,1,6,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,1,8,4,7,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,8,4,7,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,4,8,3,5,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,8,3,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,4,2,5,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,4,1,3,5,6,7,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,5,8,4,3,6,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,3,8,4,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,5,8,4,6,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,8,3,6,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,3,8,2,1,7,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,3,8,4,2,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,1,2,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,8,2,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,8,1,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,8,2,5,6,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,2,3,5,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,2,1,5,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,1,3,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,3,5,6,7,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,8,2,4,3,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,3,2,4,1,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,8,3,4,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,7,8,5,4,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,3,8,1,4,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,1,8,4,5,3,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,8,4,5,3,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,1,4,3,6,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,7,4,2,6,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,8,4,3,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,3,8,4,2,7,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,3,6,2,1,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,3,1,4,2,7,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,3,8,2,4,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,4,3,1,8,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,2,6,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,5,3,6,2,8,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,3,5,1,2,7,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,3,2,6,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,3,8,6,2,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,8,4,7,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,2,4,7,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,5,4,1,6,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,6,4,5,8,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,4,5,8,2,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,3,6,1,8,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,1,7,6,5,8,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,8,5,3,6,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,3,5,2,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,5,4,2,6,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,1,4,2,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,4,1,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,1,2,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,8,1,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,2,8,5,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,1,8,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,8,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,4,2,1,5,6,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,2,4,8,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,3,2,8,1,7,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,1,5,3,8,6,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,3,5,8,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,5,4,8,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,4,1,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,1,8,5,6,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,4,8,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,3,7,2,8,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,7,4,5,8,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,2,4,5,8,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,7,4,8,6,3,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,5,7,4,8,6,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,3,7,1,8,4,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,8,7,4,5,2,1,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,7,5,4,8,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,1,4,8,6,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,3,1,8,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,3,5,8,2,7,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,3,8,1,2,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,8,4,1,6,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,5,1,6,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,5,4,8,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,5,2,4,7,1,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,8,2,4,7,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,2,5,8,3,7,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,2,6,5,3,8,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,2,1,6,8,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,5,1,4,8,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,1,5,3,8,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,6,4,3,8,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,3,2,7,1,8,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,3,8,2,7,6,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,3,6,2,8,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,6,2,1,8,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,3,1,7,2,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,4,3,1,8,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,4,7,5,8,3,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,3,5,8,4,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,5,8,4,1,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,8,5,7,4,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,8,7,1,4,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,4,5,8,7,3,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,4,8,7,3,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,3,8,1,7,5,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [4,3,7,1,8,6,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,3,7,6,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,3,8,7,6,4,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,5,3,1,8,6,4,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [1,8,6,5,3,7,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,5,8,6,3,7,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,1,8,7,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,8,7,3,1,4,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,8,7,4,5,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,2,8,4,1,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,1,6,8,4,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,7,6,4,8,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,1,6,3,2,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,7,5,3,2,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,5,3,2,1,8,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,5,3,2,8,7,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,2,6,3,8,7,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,7,6,3,1,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,2,1,7,3,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,7,4,1,8,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,2,6,3,1,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,4,8,6,3,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,6,2,4,7,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,6,2,4,1,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,7,2,1,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,7,8,2,1,5,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,7,1,4,6,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,2,5,7,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,6,2,7,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,3,6,2,1,5,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,7,3,6,2,5,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,7,8,2,1,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,6,8,1,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,2,7,1,6,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [4,8,1,5,7,2,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,3,7,1,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,7,2,6,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,2,7,5,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,8,1,7,5,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,6,8,2,7,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,2,8,1,7,4,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,2,7,1,8,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,2,7,6,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,2,8,7,5,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,2,1,8,5,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,1,7,2,8,5,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,1,8,2,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,1,8,6,2,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,3,1,6,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,4,6,1,5,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,7,1,6,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,8,1,7,5,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,1,8,6,5,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,4,2,3,7,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,2,7,3,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,2,6,3,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,6,3,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,7,6,4,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,2,6,3,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,6,2,3,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,5,2,3,8,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,5,2,8,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,5,2,3,1,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,6,2,3,1,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,2,6,3,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,8,6,4,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,1,6,4,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,5,2,8,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,5,2,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,6,7,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,6,7,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,6,8,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,1,7,8,4,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,8,7,1,4,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,7,2,1,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,6,8,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,8,2,3,1,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,7,2,1,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,2,8,3,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,2,3,8,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,4,1,8,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,2,3,1,8,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,2,3,1,8,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,2,1,3,8,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,2,1,8,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,1,7,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,2,8,7,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,8,2,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,5,1,2,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,5,1,2,8,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,1,2,3,8,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,6,2,1,3,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,1,4,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,7,1,8,4,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,2,1,8,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,1,8,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,1,7,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,8,7,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,8,6,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,8,1,6,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,1,7,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,2,1,7,3,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,8,1,7,4,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,8,7,4,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,8,2,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,8,7,2,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,7,6,2,3,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,7,6,2,3,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,3,5,1,2,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,5,6,1,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,7,5,2,1,4,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,7,5,1,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,2,7,1,8,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,2,7,4,1,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,1,5,4,3,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,5,1,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,1,4,6,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,6,5,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,4,6,2,8,3,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,4,7,2,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,7,8,5,2,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,5,7,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,3,5,1,7,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,2,4,6,7,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,8,6,5,7,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,4,8,1,6,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,1,4,6,8,2,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,4,6,7,1,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,6,3,7,5,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,6,3,8,5,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,4,2,8,6,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,1,3,5,8,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,8,4,1,7,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,3,7,4,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,4,8,3,7,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,3,8,2,1,6,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,3,7,4,1,8,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,1,2,5,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,8,2,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,8,1,6,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,7,2,6,8,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,2,3,8,5,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,8,2,1,7,5,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,1,3,6,5,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,8,5,4,3,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,1,6,3,4,2,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,8,6,7,2,4,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,8,7,4,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,8,7,2,1,6,5]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,3,6,1,4,2,7,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,5,8,2,4,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,3,4,1,8,5,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,3,2,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,5,6,2,7,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,6,1,8,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,2,8,7,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,5,6,1,4,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,6,5,4,7,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,6,4,5,7,2,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,3,6,1,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,1,8,6,5,7,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,5,3,6,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,3,5,2,1,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,4,2,5,6,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,4,1,6,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,1,2,8,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,5,8,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,2,5,8,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,2,1,5,8,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,2,4,6,1,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,3,2,6,8,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,5,3,6,8,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,5,4,6,1,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,4,1,5,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,1,5,7,6,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,4,5,6,8,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,2,6,3,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,2,1,4,3,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,2,7,4,8,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,2,7,4,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,7,5,2,1,6,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,7,5,2,8,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,6,5,4,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,3,2,4,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,2,4,1,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,3,5,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,2,3,4,8,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,2,3,4,1,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,7,3,8,4,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,7,3,8,6,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,1,3,5,8,4,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,6,7,4,1,8,5,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,3,7,4,8,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,6,7,4,8,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,7,4,3,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,3,7,4,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,7,4,1,2,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,1,3,5,2,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,7,3,2,6,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,8,6,3,1,5,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,3,2,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,1,6,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,1,2,7,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,4,2,5,7,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,3,5,2,7,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,5,3,8,7,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,3,2,8,7,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,5,2,4,8,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,2,8,5,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,1,8,7,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,2,1,7,5,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,1,8,6,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,4,8,6,5,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,5,4,8,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,7,5,6,8,4,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,7,1,6,8,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,2,5,1,7,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,2,1,8,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,2,5,8,3,7,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,2,6,3,8,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,1,2,3,6,8,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,3,1,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,5,2,8,3,4,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,2,8,4,3,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,2,8,1,5,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,7,2,1,4,5,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,8,7,1,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,8,6,3,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,8,5,4,3,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,8,4,5,3,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,3,8,1,4,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,1,7,8,5,4,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,5,8,4,6,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,3,8,4,1,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,4,3,6,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,4,8,3,5,6,1,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,8,3,6,5,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,8,1,7,2,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,3,7,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,8,2,4,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,8,1,4,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,8,2,5,1,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,4,2,5,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,3,8,2,5,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,4,8,3,5,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,2,4,3,5,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,2,3,5,1,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,2,1,4,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,1,3,4,5,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,4,1,6,5,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,1,6,5,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,7,6,1,4,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,5,6,7,4,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,8,6,1,4,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,7,6,1,4,2,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,7,2,4,1,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,8,2,4,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,5,3,4,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,5,3,4,1,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,5,3,4,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,7,6,1,4,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,5,3,6,1,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,5,6,7,4,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,5,3,4,7,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,5,3,4,6,1,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,5,3,4,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,7,2,4,6,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,2,7,3,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,2,8,3,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,2,8,3,1,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,8,2,4,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,8,6,1,4,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,8,2,1,3,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,6,2,1,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,7,6,1,4,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,7,2,4,1,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,7,2,4,6,8,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,2,7,3,1,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,5,2,6,3,1,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,3,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,2,7,3,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,6,7,4,3,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,2,6,4,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,2,8,6,4,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,6,8,7,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,2,8,3,7,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,2,3,8,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,3,8,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,3,8,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,3,7,6,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,3,8,5,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,6,8,4,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,2,8,4,5,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,6,8,2,3,1,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,5,8,2,4,3,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,8,2,4,3,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,2,8,3,4,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,2,8,3,7,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,2,7,3,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,6,7,4,3,2,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,6,8,7,3,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,1,6,8,4,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,8,6,3,4,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,1,8,3,6,5,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,8,3,6,2,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,4,8,6,2,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,8,6,5,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,5,8,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,1,6,7,8,3,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,5,7,3,2,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,2,6,3,7,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,2,7,3,8,1,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,6,2,4,8,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,6,2,4,8,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,5,6,8,4,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,5,2,8,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,2,5,8,4,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,5,8,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,2,6,3,8,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,1,2,3,5,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,3,7,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,2,7,3,8,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,7,8,3,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,2,6,8,5,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,2,5,6,8,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,2,6,3,7,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,8,5,6,1,4,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,8,4,2,1,5,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,2,1,6,5,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,1,2,5,7,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,8,1,5,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,8,1,7,2,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,3,4,5,1,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,3,5,4,2,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,3,6,5,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,8,2,6,4,1,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,1,6,5,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,1,8,7,5,4,3,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,3,8,2,6,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,7,1,6,4,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,6,2,7,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,2,5,8,7,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,1,8,4,2,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,2,1,5,3,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,7,5,8,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,7,5,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,4,7,1,5,3,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,7,6,4,2,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,2,8,6,4,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,1,7,6,4,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,5,7,3,6,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,5,8,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,6,8,2,4,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,7,3,8,4,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,6,7,2,8,1,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,7,6,1,8,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,8,6,2,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,5,8,3,2,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,5,7,1,2,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,5,6,3,1,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,6,3,4,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,6,4,3,8,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,4,5,8,7,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,4,1,8,3,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,4,2,7,6,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,2,4,7,8,3,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,7,2,4,1,6,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,7,6,3,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,7,6,2,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,2,1,5,6,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,7,8,1,6,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,1,8,7,6,5,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,6,3,5,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,6,5,2,4,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,7,8,2,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,8,7,1,6,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,6,7,8,5,1,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,8,5,1,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,8,6,2,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,7,6,5,4,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,8,7,5,1,4,3,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,6,7,5,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,8,6,5,4,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,2,7,1,3,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,2,5,1,3,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,3,6,1,7,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,6,2,4,8,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,6,7,1,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,7,4,1,2,8,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,1,5,2,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,4,2,3,8,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,2,3,7,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,7,6,3,8,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,4,2,3,8,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,6,1,4,8,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,7,5,2,8,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,8,5,2,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,6,2,4,7,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,6,2,7,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,6,5,8,1,3,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,7,4,8,1,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,6,7,2,8,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,7,1,4,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,7,2,4,8,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,7,3,8,1,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,6,3,8,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,6,3,7,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,1,6,7,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,1,6,8,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,3,7,1,8,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,1,2,7,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,4,7,8,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,7,4,8,5,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,1,5,8,6,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,5,1,2,8,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,1,8,5,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,1,7,5,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,2,8,1,6,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,7,8,5,1,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,8,2,7,1,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,4,8,7,1,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,8,7,1,2,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,8,7,1,2,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,7,6,1,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,7,6,1,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,8,7,1,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,8,7,1,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,4,7,5,1,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,7,1,6,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,7,6,1,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,7,6,1,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,7,6,1,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,3,1,4,2,8,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,5,3,8,2,1,6,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,8,7,4,5,1,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,7,8,5,3,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,3,8,1,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,7,1,4,5,3,2,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,7,8,4,1,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,8,4,2,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,1,4,8,6,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,3,1,8,4,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,3,1,2,5,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,1,4,2,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,4,5,6,7,8,1,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [2,3,4,5,6,8,9,1,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,5,7,8,9,1,6]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,6,7,8,9,1,5]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,5,6,7,8,9,1,4]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,4,5,6,7,8,9,1,3]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,4,5,6,7,8,9,1,2]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,5,6,7,8,9,10,1]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,3,4,5,6,7,8,9,1,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,3,4,5,6,7,1,8,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [2,3,4,5,6,7,8,10,1,9]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [2,3,4,5,6,1,9,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,3,4,5,6,7,9,10,1,8]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [2,3,4,5,1,8,9,6,7]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,3,4,5,6,8,9,10,1,7]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [2,3,4,1,7,8,9,5,6]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,3,4,5,7,8,9,10,1,6]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [2,3,1,6,7,8,9,4,5]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,3,4,6,7,8,9,10,1,5]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [2,1,5,6,7,8,9,3,4]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,3,5,6,7,8,9,10,1,4]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [1,4,5,6,7,8,9,2,3]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,4,5,6,7,8,9,10,1,3]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [3,4,5,6,7,8,9,10,1,2]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [3,6,4,5,7,2,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,3,2,7,4,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,3,6,2,4,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,6,2,7,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,6,3,4,7,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,6,3,4,5,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,2,7,3,4,5,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,7,6,2,3,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,5,2,4,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,6,2,4,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,6,3,4,5,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,6,5,2,3,7,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,2,1,7,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,2,1,8,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,3,2,8,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,8,6,2,7,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,3,5,2,7,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,5,2,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,2,1,7,3,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,6,3,7,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,2,7,3,4,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,8,1,7,3,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,6,1,7,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,1,5,7,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,8,3,7,1,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,1,2,7,3,4,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,6,2,7,1,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,7,1,2,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,2,6,1,8,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,1,5,8,4,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,5,1,6,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,6,3,8,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,4,5,8,7,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,3,4,8,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,2,8,7,1,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,1,8,7,2,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,5,3,7,6,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,8,3,7,2,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,8,1,7,2,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,8,2,3,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,8,2,4,6,1,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,3,8,2,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,7,8,2,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,5,8,7,1,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,3,8,7,1,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,2,8,6,1,3,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,8,7,3,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,7,6,1,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,8,7,3,4,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,8,7,2,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,8,3,6,2,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,5,8,7,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,8,7,6,1,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,3,7,5,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,6,2,5,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,6,7,3,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,6,7,3,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,3,7,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,3,6,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,3,6,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,8,3,6,2,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,8,3,2,6,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,1,3,2,6,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,3,2,6,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,3,2,7,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,3,2,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,5,4,6,7,2,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,3,6,2,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,3,2,6,7,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,3,2,5,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,3,2,5,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,4,1,3,2,5,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,4,8,3,2,5,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,8,2,5,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,1,2,5,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,1,3,2,5,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,1,3,2,6,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,3,6,2,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,4,6,8,2,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,8,3,6,2,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,8,3,2,6,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,8,3,2,5,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,8,2,5,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,7,2,5,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,3,2,8,6,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,3,2,8,7,1,6]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,3,8,7,2,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,4,8,7,1,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,4,1,7,8,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,3,1,7,2,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,1,2,7,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,3,2,1,8,6,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,3,1,8,2,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,4,1,8,7,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,1,4,8,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,1,3,2,8,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,1,3,2,8,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,3,1,2,8,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,3,1,2,7,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,3,8,2,7,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,3,8,7,2,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,3,1,7,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,3,1,8,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,3,8,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,1,8,3,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,1,8,4,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,8,1,4,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,8,1,3,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,3,7,8,2,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,7,2,8,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,7,2,1,5,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,8,3,2,1,5,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,8,3,2,1,6,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,5,8,3,1,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,4,1,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,4,8,1,7,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,3,8,1,2,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,3,2,8,1,7,6]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,4,3,7,2,1,8,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,3,7,1,2,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,4,7,1,8,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,3,7,8,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,7,2,8,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,3,2,7,8,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,3,2,6,8,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,2,1,3,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,1,2,5,8,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,7,8,4,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,1,2,5,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,3,7,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,2,1,8,7,4,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [4,7,2,8,1,3,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,7,1,8,2,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,2,4,3,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,2,4,3,5,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,6,2,4,3,5,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,5,2,4,3,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,6,2,5,3,4,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,2,5,3,4,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,2,5,3,4,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,2,6,3,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,2,6,3,4,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,2,7,3,5,4,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,7,2,8,3,5,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,2,8,3,5,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,8,3,6,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,8,3,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,8,4,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,8,4,6,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,7,4,6,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,2,7,4,6,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,7,3,6,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,7,3,6,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,2,7,3,5,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,6,3,5,4,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,2,6,3,5,4,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,2,5,3,6,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,5,3,6,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,2,5,3,7,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,4,3,7,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,2,4,3,7,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,4,3,6,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,4,3,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,3,4,6,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,2,3,4,6,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,2,3,4,7,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,2,4,3,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,4,3,8,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,2,4,3,8,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,4,3,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,2,5,3,8,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,5,3,8,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,5,3,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,6,3,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,6,3,8,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,8,4,7,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,2,8,4,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,8,3,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,8,3,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,2,8,3,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,8,3,6,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,7,3,6,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,6,3,7,2,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,3,7,5,2,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,3,8,5,1,7,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,3,8,5,1,2,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,8,3,4,1,2,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,8,3,4,1,7,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,2,7,5,3,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,7,2,4,3,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,8,4,3,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,8,4,3,1,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,8,4,1,6,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,8,4,1,6,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,8,4,1,3,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,8,4,2,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,8,2,4,1,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,2,8,5,1,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,8,5,1,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,8,5,1,4,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,2,8,5,1,3,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,8,2,4,1,3,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,8,4,2,1,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,8,4,1,3,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,8,4,1,2,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,8,4,1,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,1,5,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,1,5,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,5,3,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,3,5,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,8,2,1,6,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,2,8,1,6,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,8,1,6,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,8,1,6,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,2,8,1,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,8,2,1,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,8,1,3,5,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,5,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,5,4,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,8,1,5,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,4,5,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,8,1,4,5,3,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,4,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,3,4,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,8,2,1,4,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,2,8,1,5,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,8,1,5,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,8,4,1,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,2,8,3,1,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,8,3,2,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,8,3,1,4,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,8,3,1,6,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,8,3,1,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,3,8,1,6,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,3,8,1,6,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,3,8,1,5,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,3,8,2,1,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,3,2,8,1,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,2,3,8,1,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,5,4,8,1,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,5,3,2,8,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,3,8,2,1,5,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,3,8,1,5,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,3,8,1,2,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,3,8,1,2,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,8,3,1,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,8,3,1,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,8,3,1,4,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,8,3,2,1,4,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,2,7,8,1,5,4,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,8,2,1,4,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,8,1,3,4,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,1,4,3,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,4,2,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,8,1,4,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,1,2,5,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,1,2,5,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,1,2,4,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,1,3,2,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,8,2,1,3,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,8,1,4,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,8,1,3,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,1,2,4,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,1,2,3,5,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,2,8,5,1,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,3,7,5,2,6,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,7,5,4,2,6,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,8,5,4,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,5,4,3,1,7,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,4,5,6,1,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,6,5,7,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,4,5,3,7,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,3,5,6,1,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,8,4,5,6,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,3,7,5,2,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,3,8,5,1,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,2,8,5,1,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,8,2,5,6,3,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,8,5,2,1,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,5,1,3,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,7,5,2,1,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,5,1,2,8,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,7,1,5,6,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,1,7,5,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,1,2,7,6,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,2,1,7,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,5,7,1,4,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,2,7,4,1,8,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,2,6,4,8,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,8,6,4,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,1,8,7,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,5,8,2,7,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,8,4,2,3,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,2,5,8,3,7,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,5,7,3,4,2,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,2,7,4,6,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,1,8,7,6,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,3,8,4,6,2,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,3,4,8,6,1,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,8,6,5,1,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,7,3,5,8,6,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,7,8,6,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,4,6,2,7,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,4,7,1,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,4,1,8,7,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,6,1,4,8,2,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,3,5,6,8,4,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,5,1,8,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,6,1,5,8,4,7,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,6,5,8,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,1,6,3,8,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,2,4,1,7,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,2,7,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,4,7,2,8,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,4,7,8,2,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,4,6,8,5,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,4,5,7,1,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,4,6,1,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,2,1,4,3,6,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,4,1,2,6,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,3,2,5,4,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,3,2,5,4,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,3,2,5,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,4,5,2,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,5,1,6,2,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,2,1,5,6,3,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,5,4,3,2,7,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,6,4,3,7,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,4,3,1,8,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,7,5,1,3,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,7,1,5,4,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,8,4,3,1,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,8,4,3,7,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,8,4,3,6,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,7,4,3,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,7,5,6,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,8,5,6,3,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,8,5,7,3,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,8,6,7,1,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,8,6,1,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,1,8,6,7,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,7,1,6,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,7,6,1,8,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,7,5,8,3,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,6,5,7,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,5,6,7,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,6,7,1,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,1,7,8,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,1,6,7,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,1,5,7,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,5,1,7,2,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,4,6,2,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,3,2,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,3,2,6,8,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,3,2,7,8,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,3,2,7,1,8,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,2,1,4,3,7,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,3,2,8,7,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,3,2,8,6,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,3,2,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,4,7,2,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,4,8,2,7,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,5,8,1,2,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,5,1,8,2,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,5,6,8,7,1,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,5,8,7,2,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,5,7,6,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,6,7,5,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,7,8,5,4,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,7,8,1,6,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,1,7,8,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,4,8,7,1,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,4,3,6,5,8,7,10,9,12,11]=>[6,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>00000100000 [2,1,4,3,6,5,8,7,12,11,10,9]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,4,3,6,5,10,9,8,7,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,4,3,6,5,12,9,8,11,10,7]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,4,3,8,7,6,5,10,9,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,4,3,8,7,6,5,12,11,10,9]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [2,1,4,3,10,7,6,9,8,5,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,4,3,12,7,6,9,8,11,10,5]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,6,5,4,3,8,7,10,9,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,6,5,4,3,8,7,12,11,10,9]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [2,1,6,5,4,3,10,9,8,7,12,11]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [2,1,6,5,4,3,12,9,8,11,10,7]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [2,1,6,5,4,3,12,11,10,9,8,7]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [2,1,8,5,4,7,6,3,10,9,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,8,5,4,7,6,3,12,11,10,9]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [2,1,10,5,4,7,6,9,8,3,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,12,5,4,7,6,9,8,11,10,3]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [2,1,8,7,6,5,4,3,12,11,10,9]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [2,1,12,7,6,5,4,11,10,9,8,3]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [4,3,2,1,6,5,8,7,10,9,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [4,3,2,1,6,5,8,7,12,11,10,9]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [4,3,2,1,6,5,10,9,8,7,12,11]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [4,3,2,1,6,5,12,9,8,11,10,7]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [4,3,2,1,6,5,12,11,10,9,8,7]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [4,3,2,1,8,7,6,5,10,9,12,11]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [4,3,2,1,10,7,6,9,8,5,12,11]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [4,3,2,1,12,7,6,9,8,11,10,5]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [4,3,2,1,12,7,6,11,10,9,8,5]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [4,3,2,1,10,9,8,7,6,5,12,11]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [4,3,2,1,12,9,8,7,6,11,10,5]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [4,3,2,1,12,11,8,7,10,9,6,5]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [6,3,2,5,4,1,8,7,10,9,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [6,3,2,5,4,1,8,7,12,11,10,9]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [6,3,2,5,4,1,10,9,8,7,12,11]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [6,3,2,5,4,1,12,9,8,11,10,7]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [6,3,2,5,4,1,12,11,10,9,8,7]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [8,3,2,5,4,7,6,1,10,9,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [8,3,2,5,4,7,6,1,12,11,10,9]=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>01010001000 [10,3,2,5,4,7,6,9,8,1,12,11]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [12,3,2,5,4,7,6,9,8,11,10,1]=>[5,5,1,1]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>11000010000 [8,3,2,7,6,5,4,1,12,11,10,9]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [12,3,2,7,6,5,4,11,10,9,8,1]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [6,5,4,3,2,1,8,7,12,11,10,9]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [6,5,4,3,2,1,10,9,8,7,12,11]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [6,5,4,3,2,1,12,9,8,11,10,7]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [6,5,4,3,2,1,12,11,10,9,8,7]=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>01010101010 [8,5,4,3,2,7,6,1,12,11,10,9]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [12,5,4,3,2,7,6,11,10,9,8,1]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [10,5,4,3,2,9,8,7,6,1,12,11]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [12,5,4,3,2,9,8,7,6,11,10,1]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [12,5,4,3,2,11,8,7,10,9,6,1]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [8,7,4,3,6,5,2,1,12,11,10,9]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [12,7,4,3,6,5,2,11,10,9,8,1]=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>11010100100 [12,11,10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>11111111111 [7,4,6,1,8,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,5,1,7,4,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,4,1,7,5,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,1,7,5,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,2,1,7,5,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,6,2,7,5,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,5,2,6,8,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,2,1,6,8,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,4,3,1,7,5,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [3,6,8,4,1,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,7,5,1,8,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,6,1,8,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,6,5,7,1,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,7,5,6,1,8,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,5,1,8,4,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,4,1,7,5,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,7,5,3,1,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,2,1,6,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,4,2,6,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,3,2,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,2,1,7,6,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,3,1,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,4,1,6,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,5,1,6,8,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,6,1,7,5,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,7,1,6,5,8,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,2,6,5,7,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,1,2,7,5,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,1,2,6,8,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,2,6,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,1,2,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,5,3,7,6,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,1,2,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,1,2,7,6,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,1,5,8,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,6,1,5,8,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,3,5,1,7,6,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,1,5,8,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,7,1,5,8,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,6,5,8,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,1,6,8,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,1,6,7,5,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,3,1,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,2,1,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,3,5,2,7,6,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,6,2,5,8,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,2,1,5,8,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,1,5,7,6,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,2,4,1,7,5,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,5,1,7,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,4,8,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,6,4,7,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,5,2,7,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,2,5,8,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,5,7,6,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,3,5,7,6,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,2,3,7,6,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,1,3,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,5,2,6,8,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,2,6,7,5,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,4,2,7,5,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,2,6,5,7,1,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,8,2,5,7,1,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,2,5,7,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,3,2,7,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,2,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,1,3,7,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,2,3,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,1,3,7,6,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,1,3,7,6,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,3,5,7,6,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,2,3,5,7,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,1,3,5,8,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,5,7,6,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,2,3,7,6,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,2,4,7,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,5,9,3,6,10,1,2,4,7]=>[4,3,2,1]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>101001000 [8,4,9,2,5,10,1,3,6,7]=>[4,3,2,1]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>101001000 [8,1,2,4,3,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,3,5,6,2,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,3,4,2,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,3,2,4,5,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,8,3,4,5,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,6,3,8,4,5,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,2,1,4,5,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,1,4,2,6,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,1,5,6,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,8,5,6,1,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,8,5,6,2,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,8,4,2,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,8,2,4,5,1,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,8,4,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,6,7,4,5,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,2,4,8,6,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,4,2,8,7,1,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,5,8,7,1,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,5,1,7,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,1,2,3,8,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,4,1,3,7,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,4,8,3,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,5,8,7,3,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,5,1,7,3,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,2,1,8,3,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,6,7,8,3,4,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,6,7,3,8,5,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,6,7,3,1,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,8,2,3,1,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,8,3,2,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,4,8,1,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,3,8,1,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,5,3,7,1,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,6,7,2,1,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,6,7,2,8,1,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,5,2,7,8,1,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,2,5,6,8,1,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,7,8,6,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,2,7,8,6,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,1,8,6,5,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,1,2,8,6,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,8,1,2,7,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,8,7,1,5,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,7,3,5,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,1,6,3,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,1,3,6,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,3,6,5,2,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,7,2,8,6,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,3,4,8,6,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,7,1,8,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,2,3,6,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,1,6,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,7,1,2,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,2,7,1,3,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,7,2,5,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,2,4,8,7,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,8,3,7,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,8,3,4,7,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,4,8,1,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,7,2,3,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,2,1,7,3,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,2,1,6,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,1,2,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,6,2,1,4,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,7,2,3,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,2,7,1,6,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [1,8,7,5,3,4,6,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,7,3,5,4,6,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,5,4,7,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,2,7,3,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,6,2,4,3,1,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,6,1,2,4,3,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,7,6,1,4,2,3,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,7,6,4,1,3,2,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,8,4,7,2,1,6,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [1,8,7,5,4,3,6,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,8,4,3,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,7,3,2,5,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,1,7,3,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,3,1,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,1,3,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,3,1,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,7,1,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,1,7,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,7,1,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,2,6,5,7,4,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,5,6,7,4,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,5,7,1,6,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,5,7,1,2,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,5,1,7,2,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,3,1,7,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,3,7,1,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,3,7,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,2,8,1,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,4,8,3,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,7,4,5,3,6,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,8,5,7,2,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,3,7,2,1,6,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,6,3,1,4,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,6,1,3,2,4,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,5,3,2,7,1,6,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,5,2,7,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,7,4,3,5,6,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,7,3,4,5,6,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,4,5,7,1,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,2,3,7,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,1,5,4,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,1,5,2,7,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,4,2,1,7,3,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,4,2,1,7,6,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,4,2,1,3,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,4,2,3,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,2,5,1,4,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,4,3,1,2,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,4,1,3,2,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,4,1,2,7,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,4,1,6,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,1,6,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,1,6,5,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,4,1,3,7,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,4,3,1,7,6,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,2,5,1,7,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,8,5,3,7,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,2,5,1,7,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,4,3,1,7,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,4,1,3,7,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,1,6,5,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,1,6,2,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,6,5,2,1,4,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,4,3,6,2,1,5]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,3,2,7,6,4,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,7,6,4,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,7,6,4,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,2,7,6,4,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,3,6,2,5,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,6,5,2,4,3,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,5,4,2,3,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,2,6,5,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,4,2,6,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,2,6,3,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,1,7,6,4,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,1,7,6,4,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,1,7,6,5,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,3,1,5,4,7,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,1,5,4,7,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,1,7,6,5,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,1,7,6,2,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,4,2,6,1,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,4,2,6,5,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,4,2,3,7,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,2,5,4,7,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,8,5,4,7,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,2,7,6,5,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,4,3,6,5,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,6,5,3,1,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,6,5,1,3,2,4]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,6,5,1,3,4,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,6,5,1,4,3,2]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,7,6,5,4,1,3,2]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,7,4,3,6,1,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,2,7,6,1,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,1,8,7,6,3,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,2,7,6,1,4,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,6,5,1,4,2,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,6,5,1,2,4,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,3,5,1,8,4,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,4,1,8,5,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,6,2,1,8,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,5,2,7,4,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,3,1,8,6,5,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,6,5,1,8,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,4,1,8,5,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,4,2,1,8,7,5,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [1,6,4,2,7,5,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,3,2,7,6,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,2,1,8,7,6,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [2,5,3,1,7,8,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,4,1,7,8,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,5,1,7,8,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,7,1,6,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,1,2,8,4,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,1,2,8,5,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,1,2,8,6,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,1,2,8,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,1,2,5,8,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,3,4,8,2,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,5,6,8,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,5,7,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,1,6,8,5,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,3,1,8,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,2,1,6,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,2,5,7,3,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,1,5,8,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,3,1,5,8,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,4,1,8,5,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,5,1,8,4,7,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,1,4,8,6,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,1,4,8,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,6,2,4,7,3,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,1,3,8,7,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,4,1,3,8,5,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,3,8,4,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,7,1,4,8,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,1,4,8,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,2,1,3,8,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,1,4,7,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,4,6,8,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,3,5,8,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,2,4,8,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,3,1,6,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,5,2,3,1,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,7,3,5,2,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,3,5,2,4,1,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,5,2,4,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,4,1,6,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,3,5,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,4,1,5,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,6,3,4,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,7,3,4,1,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,8,6,7,3,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,2,8,5,7,3,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,3,4,1,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,4,1,5,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,7,3,5,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,4,5,2,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,4,5,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,6,7,4,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,1,8,6,7,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,7,3,4,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,3,4,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,2,7,3,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,7,3,5,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,8,4,7,3,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,8,5,7,3,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,1,8,5,7,4,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,8,5,7,4,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,4,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,4,6,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,7,3,6,2,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,7,3,6,2,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,7,3,5,1,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,8,4,7,3,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,3,6,2,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,3,6,2,5,1,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,5,1,7,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,4,1,7,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,4,1,7,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,5,7,3,6,2,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,7,4,6,2,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,6,2,3,1,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,2,3,1,7,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,3,1,7,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,3,1,7,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,2,8,6,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,3,1,8,5,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,5,6,2,3,1,7,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,8,5,6,2,3,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,8,5,6,2,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,2,4,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,4,1,8,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,5,2,8,6,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,2,8,6,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,3,8,5,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,2,8,5,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,2,8,5,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,6,2,8,4,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,6,2,5,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,8,4,6,2,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,3,8,4,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,5,1,6,2,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,8,4,6,2,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,8,5,6,2,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,5,6,2,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,5,6,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,4,8,5,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,4,8,5,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,7,3,8,5,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,8,4,5,1,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,4,5,1,7,3,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,6,2,8,4,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,5,6,1,3,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,3,8,4,7,2,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,6,1,4,7,2,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,1,2,5,7,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,8,2,5,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,2,4,5,6,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,1,5,4,6,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,2,1,6,3,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,4,5,3,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,1,4,3,2,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,6,8,3,7,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,8,5,3,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,8,4,7,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,2,4,7,3,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,7,3,6,1,4,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,6,7,2,1,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,7,5,2,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,1,2,4,5,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,7,2,5,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,7,5,8,2,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,6,7,8,1,4,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,6,5,7,8,2,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,7,6,1,4,3,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,6,8,4,5,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,1,8,5,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,8,6,3,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,8,6,1,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,5,8,1,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,6,3,4,5,8,1,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,2,1,4,8,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,7,3,1,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,6,4,1,8,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,1,5,2,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,5,2,8,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,5,3,8,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,5,3,4,2,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,2,4,3,1,6,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,8,1,3,7,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,2,6,5,1,3,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,2,3,4,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,2,3,7,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,3,6,8,4,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,7,8,5,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,7,8,1,4,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,7,4,1,6,2,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,8,4,6,1,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,1,8,6,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,8,5,7,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,4,2,7,5,8,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,8,6,7,5,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,8,7,6,2,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,4,7,6,2,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,7,4,3,6,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,4,8,3,1,7,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,3,7,1,6,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,7,4,1,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,5,3,1,2,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,1,2,7,6,3,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,1,2,6,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,6,1,8,4,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,1,7,3,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,3,1,7,6,2,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,2,7,8,1,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,4,7,5,6,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,5,6,1,8,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,3,1,6,8,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,7,5,8,6,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,2,7,5,3,8,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,2,7,3,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,1,7,5,2,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,1,3,7,5,2,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,2,6,8,5,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,1,2,5,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,7,2,4,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,7,8,6,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,7,5,1,8,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,7,4,1,5,8,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,3,7,1,5,8,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,8,1,3,7,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,6,8,3,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,8,3,1,5,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,6,4,1,5,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,4,8,5,1,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,7,4,5,1,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,3,7,5,8,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,1,7,8,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,2,3,6,8,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,7,3,6,8,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,4,6,2,8,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,3,4,6,1,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,8,4,6,1,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,5,2,4,1,6,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,3,5,1,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,8,3,6,7,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,8,1,7,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,3,6,2,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,1,7,2,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,8,4,7,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,7,3,1,6,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [4,6,8,3,1,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,2,7,1,5,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,3,1,8,2,4,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,8,1,2,6,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,4,1,6,2,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,5,4,1,2,6,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,8,4,2,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,2,8,5,3,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,5,3,1,7,4,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,4,5,1,2,6,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,3,7,1,2,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,3,7,2,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,2,7,8,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,7,8,3,1,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,7,2,5,8,1,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,3,4,6,2,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,2,4,6,7,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,6,8,2,7,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,5,6,8,1,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,3,5,6,1,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,2,3,7,8,1,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,7,3,4,1,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,7,3,4,1,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,4,7,1,5,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,4,7,2,5,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,4,8,7,2,6,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,4,8,7,1,6,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,3,8,7,6,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,7,6,1,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,3,7,5,1,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,4,6,5,1,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,4,7,5,1,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,8,7,6,1,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,5,8,7,6,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,5,8,7,6,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,5,8,7,1,6,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,8,7,2,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,8,2,7,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,8,1,7,6,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,8,1,7,6,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,8,7,1,6,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,4,8,7,1,6,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,8,4,7,1,5,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,4,6,1,5,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,6,2,5,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,4,7,2,5,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,8,7,2,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,8,7,2,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,8,2,7,6,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,8,3,7,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,4,2,8,7,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,3,8,2,7,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,3,2,7,5,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,3,2,6,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,3,1,6,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,3,1,7,5,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,8,1,7,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,1,8,7,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,1,8,7,6,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,2,1,8,7,6,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,8,2,1,7,5,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,2,1,6,5,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,2,6,1,5,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,8,7,1,6,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,8,7,1,6,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,8,1,7,6,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,3,8,1,7,6,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,3,8,2,7,6,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,3,2,7,5,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,3,1,7,5,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,2,1,7,5,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,2,7,1,5,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,7,2,1,4,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,1,2,4,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,7,1,2,4,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,1,2,7,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,2,3,7,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,2,8,3,7,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,8,3,7,6,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,8,7,2,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,8,7,2,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,1,7,2,5,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,6,2,5,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,1,2,6,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,1,2,7,5,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,8,2,7,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,2,8,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,1,3,8,7,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,1,4,8,7,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,3,7,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,1,3,7,5,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,1,3,6,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,2,3,6,5,4,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,8,2,3,7,5,4,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,8,3,7,6,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,3,6,8,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,2,5,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,8,2,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,5,2,8,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,2,6,5,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,4,2,6,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,5,8,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,4,2,5,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,2,6,4,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,6,5,4,8,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,5,4,7,3,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,6,3,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,5,4,2,8,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,7,5,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,3,5,2,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,2,5,1,8,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,5,2,8,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,4,2,8,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,2,8,3,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,5,3,8,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,8,6,5,3,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,2,8,6,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,4,2,8,7,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,1,8,7,3,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,2,1,8,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,1,6,2,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,6,4,2,8,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,5,2,6,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,2,7,5,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,7,6,5,3,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,6,5,3,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,2,6,3,8,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,2,7,6,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,5,2,7,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,7,4,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,2,8,6,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,8,6,2,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,7,1,8,2,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,1,6,2,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,8,3,2,4,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,7,3,2,4,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,2,8,7,3,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,4,2,8,3,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,1,5,4,2,7,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,8,5,2,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,5,3,1,7,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,2,1,7,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,6,4,2,7,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,5,2,6,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,2,7,3,8,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,8,5,3,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,6,3,8,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,7,6,3,8,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,2,7,3,8,5,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,2,8,5,3,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,4,2,8,6,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,8,3,2,6,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,2,1,8,6,3,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,7,3,2,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,2,8,7,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,8,7,5,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,8,6,3,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,7,3,8,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,7,3,6,5,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,8,7,6,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,6,3,4,5,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,7,8,6,2,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,1,6,2,4,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,1,5,2,7,3,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,4,5,3,7,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,4,5,3,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,4,5,3,7,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [5,1,7,8,6,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,4,8,3,5,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,8,6,3,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,5,3,8,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,5,3,6,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,1,4,5,3,6,7,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,4,1,5,2,6,3,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,5,7,2,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,5,8,2,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,5,7,2,1,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,5,7,3,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,5,8,3,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,7,6,2,4,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,4,8,6,3,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,1,8,2,3,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,1,6,2,4,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,5,2,6,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,5,8,2,1,4,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,3,4,1,8,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,5,6,2,1,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,8,5,1,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,6,1,5,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,6,7,1,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,5,7,2,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,3,8,5,6,1,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,5,6,3,1,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,5,6,3,1,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,5,6,2,8,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,5,8,2,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,5,6,2,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,6,5,1,3,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,6,8,1,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,6,5,8,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,5,6,1,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,6,4,1,8,5,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,1,3,8,5,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,1,3,6,5,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,6,8,4,3,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,6,1,8,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,6,1,4,3,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,5,1,2,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,5,2,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,1,6,3,4,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,1,8,3,2,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,3,8,6,4,1,7,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,6,7,4,3,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,5,7,2,4,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,3,4,1,8,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,6,1,7,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,1,6,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,1,4,5,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,6,1,4,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,3,4,5,6,7,9,8]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [2,1,3,4,5,6,7,8,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,4,5,6,7,8,10,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,1,3,4,5,6,7,8,9,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [9,1,2,3,4,5,6,7,10,8]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [1,8,2,3,4,5,6,9,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [7,1,2,3,4,5,6,9,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,1,9,3,4,5,6,7,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,8,1,3,4,5,6,7,9]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [2,10,1,3,4,5,6,7,8,9]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [8,4,3,6,5,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,3,4,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,5,4,3,1,7,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [1,7,6,5,4,2,3,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,6,5,2,7,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,5,4,1,6,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,5,4,1,3,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,5,4,2,1,7,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,6,2,4,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,2,6,5,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,8,6,5,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,7,6,4,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,7,6,2,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,7,3,6,2,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,1,7,5,3,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,5,2,4,3,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,6,5,2,3,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,7,6,3,4,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,8,3,7,4,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,1,7,2,6,3,5,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,1,8,2,6,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,8,2,4,7,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,8,3,2,7,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,8,2,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,8,4,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,8,7,1,6,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,2,7,1,6,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,7,2,1,6,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,7,1,3,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,6,1,5,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,6,1,5,4,3,2]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [1,8,7,2,6,5,3,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,8,2,5,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,6,7,1,4,5,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,1,4,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,8,3,2,1,7,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,5,8,3,1,4,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,3,1,6,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [1,6,8,4,2,7,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,4,8,2,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,4,3,7,1,6,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,3,8,1,5,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,3,1,5,2,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,3,1,2,6,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,3,1,2,5,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,4,2,3,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,5,1,4,2,3,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,4,2,6,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,1,4,3,2,7,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,6,1,3,4,2,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,6,2,1,5,3,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,6,1,5,4,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,7,1,4,6,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,7,2,1,3,6,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,1,3,2,6,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,1,2,4,5,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,1,2,5,4,3,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,1,2,5,3,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,2,3,6,4,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,7,1,2,3,6,5,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,8,1,2,3,5,6,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,1,2,4,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,1,3,2,4,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,2,1,3,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,8,1,4,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,2,5,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,1,2,4,3,6,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,1,2,3,5,4,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,1,2,3,4,6,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,1,2,3,4,5,7,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,7,3,8,5,1,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,4,5,1,8,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,7,6,8,1,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,7,8,6,1,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,8,4,5,7,1,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,8,6,7,1,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,7,1,8,3,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,2,7,4,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,1,7,8,4,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,6,1,8,7,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,6,8,1,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,4,5,1,6,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,8,6,2,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,6,8,2,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,6,2,8,4,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,6,3,4,7,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,6,8,5,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,3,2,5,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,3,1,5,6,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,3,1,5,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,6,8,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,1,6,7,8,5,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,1,7,6,8,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,7,8,1,6,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,7,2,6,4,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,1,5,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,2,1,8,5,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,2,8,1,5,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,8,2,1,4,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,1,2,8,4,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,1,3,4,8,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,7,3,4,6,8,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,7,3,4,8,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,7,8,2,3,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,8,7,2,3,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,1,2,7,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,3,7,5,8,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,4,5,7,8,6,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,8,3,4,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,1,3,4,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,3,4,5,7,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,8,3,4,6,7,5]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,2,1,6,5,8,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,6,1,4,8,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,6,4,1,8,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,7,4,8,1,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,7,4,8,6,1,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,2,3,8,6,1,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,2,3,8,1,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,2,3,1,8,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,2,1,3,8,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,6,4,2,8,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,1,3,2,8,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,3,1,2,8,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,3,2,1,8,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,3,2,8,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,3,2,8,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,8,2,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,8,1,2,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,3,1,8,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,1,3,8,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,7,4,8,2,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,5,7,4,8,3,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,7,4,8,6,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,7,4,8,6,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,1,3,8,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,3,1,8,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,3,8,1,5,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,3,8,5,2,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,8,3,1,4,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,1,8,3,5,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,1,7,8,4,5,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,6,7,8,4,5,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,7,8,4,3,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,7,8,4,2,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,1,8,3,2,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,2,1,8,3,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,2,8,1,3,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,2,8,3,1,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,2,8,3,5,1,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,7,8,4,5,1,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,7,8,4,1,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,7,8,1,4,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,7,1,8,4,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,1,7,8,5,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,1,2,7,8,6,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,7,8,1,5,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,8,5,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,8,5,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,2,8,5,3,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,2,1,8,6,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,1,2,8,6,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,7,2,8,6,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,5,7,3,8,6,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,7,8,3,5,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,7,8,2,5,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,1,8,2,5,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,8,2,4,1,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,8,2,4,3,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,1,8,5,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,7,8,5,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,6,7,8,5,3,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,7,8,5,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,1,8,5,3,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,4,1,3,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,8,5,2,7,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,4,5,8,7,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,1,4,8,7,3,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,4,8,6,3,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,7,1,8,6,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,8,4,2,7,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,5,6,7,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,1,2,7,8,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,4,2,8,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,7,5,2,8,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,2,7,4,8,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,1,4,8,3,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,3,5,1,4,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,1,4,6,7,2,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,8,4,3,7,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,3,7,4,2,8,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,1,6,2,4,5,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,8,6,7,1,4,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,8,7,4,1,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,7,1,5,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,6,1,2,5,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,1,8,7,3,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,3,6,4,2,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,1,5,3,8,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,6,3,4,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,6,3,5,4,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,2,7,4,3,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,6,4,5,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,7,6,5,3,4,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,5,4,2,7,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [1,6,5,3,4,8,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,8,4,2,7,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,2,6,4,7,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,5,3,2,6,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,3,1,7,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,6,3,7,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,5,2,6,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,1,6,2,5,4,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,8,1,7,3,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,8,5,7,3,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,7,6,8,3,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,3,1,8,4,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,7,3,8,4,5,2,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,8,5,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,6,1,8,4,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,1,7,4,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,2,7,3,4,6,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,1,2,8,3,5,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,6,1,7,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,3,1,6,8,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,5,6,8,3,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,5,4,8,2,7,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,1,8,7,4,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,4,7,5,3,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,1,8,3,7,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,1,7,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,8,2,4,7,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,2,8,6,3,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,3,8,7,4,5,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,8,6,4,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,7,5,6,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,7,6,3,5,4,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,1,7,6,5,2,4,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [7,1,8,6,5,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,2,8,7,6,3,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,8,7,4,6,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,7,2,5,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [3,8,7,6,4,5,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,8,7,6,5,3,4,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,8,7,6,5,4,2,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [5,8,6,7,3,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,6,7,3,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,6,7,4,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,5,7,4,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,5,7,3,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,3,8,5,6,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,2,8,5,6,1,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,1,8,5,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,2,8,5,6,1,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,7,3,8,5,6,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,7,4,8,5,6,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,2,7,4,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,2,7,4,5,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,2,6,4,5,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,7,4,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,4,8,5,6,2,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,3,8,5,6,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,5,6,2,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,3,8,4,6,2,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,1,7,3,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,2,6,3,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,2,7,3,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,2,7,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,2,7,3,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,3,8,4,6,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,4,7,3,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,4,7,2,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,5,7,2,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,5,7,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,5,7,3,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,6,7,3,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,6,7,3,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,6,7,2,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,5,7,1,4,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,6,7,1,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,6,7,1,5,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,5,2,8,6,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,8,5,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,6,2,8,5,7,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,4,7,1,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,3,7,1,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,3,7,1,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,4,7,1,6,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,6,2,8,4,7,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,1,8,4,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,1,6,2,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,1,6,2,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,1,5,2,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,2,5,1,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,2,6,1,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,2,6,1,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,7,3,6,2,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,3,4,5,6,7,8,9]=>[9]=>[[1,2,3,4,5,6,7,8,9]]=>00000000 [1,2,3,4,5,6,8,9,7]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,4,5,7,8,9,6]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,4,6,7,8,9,5]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,5,6,7,8,9,4]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,4,5,6,7,8,9,3]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,3,4,5,6,7,8,9,2]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,4,5,6,7,8,9,10]=>[10]=>[[1,2,3,4,5,6,7,8,9,10]]=>000000000 [1,2,3,4,5,6,9,8,7]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,4,5,6,7,9,10,8]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,2,3,4,5,8,7,9,6]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,4,5,6,8,9,10,7]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,2,3,4,7,6,8,9,5]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,4,5,7,8,9,10,6]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,2,3,6,5,7,8,9,4]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,4,6,7,8,9,10,5]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,2,5,4,6,7,8,9,3]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,5,6,7,8,9,10,4]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,4,3,5,6,7,8,9,2]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,4,5,6,7,8,9,10,3]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [3,2,4,5,6,7,8,9,1]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,3,4,5,6,7,8,9,10,2]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [5,7,4,6,2,3,1,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,4,6,3,8,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,4,8,3,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,4,8,3,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,3,7,2,8,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,4,5,2,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,4,8,2,3,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,3,8,2,4,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,3,5,2,8,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,3,5,2,4,1,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,3,8,2,7,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,3,7,2,8,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,4,8,2,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,3,6,2,8,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,5,2,4,1,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,5,2,8,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,5,8,2,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,5,7,2,3,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,8,2,4,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,3,4,2,8,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,3,4,2,8,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,3,8,2,5,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,3,5,2,8,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,3,5,2,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,3,7,2,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,3,7,2,8,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,5,2,7,1,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,3,4,2,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,3,4,2,6,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,3,6,2,8,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,5,2,1,8,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,5,2,1,7,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,5,2,1,3,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,4,2,3,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,5,3,1,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,6,1,3,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,8,1,7,3,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,8,1,6,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,8,1,6,5,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,4,8,1,3,7,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,5,3,1,7,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,7,1,3,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,8,1,7,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,8,7,2,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,7,6,4,2,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,4,6,3,7,2,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,2,8,7,4,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,6,8,7,4,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,8,6,4,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,2,8,6,4,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,8,5,2,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,7,8,6,2,3,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,7,6,3,2,1,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,8,7,5,3,2,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,4,2,3,7,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,4,2,6,5,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,2,6,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,6,2,7,3,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,1,8,7,4,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,1,8,6,4,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,1,6,7,5,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,1,6,8,2,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,6,2,8,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,4,2,8,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,4,2,7,5,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [2,1,8,6,7,5,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,2,6,7,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,4,3,7,5,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,6,7,3,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,5,8,1,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,5,8,1,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,5,7,4,1,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,6,4,3,8,1,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,3,2,6,8,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,7,6,8,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,6,8,1,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,7,8,1,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,3,7,4,6,5,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,2,8,7,4,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,2,5,4,7,3,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,2,7,5,4,8,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,3,5,4,7,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,5,4,3,8,7,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,8,3,4,5,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,5,3,4,8,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,3,5,6,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,1,3,4,5,6,7,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,2,4,5,6,3,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,3,2,7,5,1,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,2,5,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,8,2,4,7,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,2,1,4,3,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,2,8,4,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,2,1,4,8,3,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,1,8,5,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,6,3,5,4,7,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [3,4,1,2,8,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,2,6,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,1,6,3,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,8,5,2,1,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,1,5,2,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,8,2,6,1,5,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,6,7,2,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,4,2,1,7,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,2,5,8,3,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,5,6,3,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,2,3,8,5,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,2,3,6,5,8,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,1,3,8,6,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,7,3,2,4,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,7,3,1,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,2,4,1,3,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,7,2,6,3,4,1,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [4,8,1,6,3,2,7,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,1,8,6,4,2,7,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,6,7,4,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,8,7,2,4,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,2,1,3,7,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,3,8,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,8,3,1,7,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,6,1,3,7,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,1,3,6,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,2,3,4,1,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,8,3,2,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>11111111 [8,9,7,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [8,7,9,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [8,7,6,9,5,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [8,7,6,5,9,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [8,7,6,5,4,9,3,2,1]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [8,7,6,5,4,3,9,2,1]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [8,7,6,5,4,3,2,9,1]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [8,7,6,5,4,3,2,1,9]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [9,10,8,7,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [7,8,9,6,5,4,3,2,1]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [9,8,10,7,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [9,8,7,10,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [9,8,7,6,10,5,4,3,2,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [9,8,7,6,5,10,4,3,2,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [9,8,7,6,5,4,10,3,2,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [9,8,7,6,5,4,3,10,2,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [8,7,6,5,4,3,1,2,9]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [9,8,7,6,5,4,3,2,10,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [9,8,7,6,5,4,3,2,1,10]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [1,4,2,7,8,6,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,2,4,8,5,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,2,4,7,5,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,3,8,5,2,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,3,2,8,6,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,5,7,8,6,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,2,3,1,8,5,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,2,5,1,7,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,1,8,3,4,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,8,3,5,1,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,4,8,5,7,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,3,6,4,8,5,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,6,4,7,5,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,4,7,5,8,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,1,3,7,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,2,1,4,3,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,4,2,3,1,8,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,2,3,1,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,5,4,2,6,8,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,5,3,4,6,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,5,4,6,7,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,6,3,1,8,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,2,6,4,3,1,7,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,7,4,1,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,8,4,3,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,4,2,3,5,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,8,4,1,3,2,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,7,4,3,2,5,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,6,3,8,2,4,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,8,1,2,7,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,8,3,2,6,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,3,1,2,6,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,5,4,2,6,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,8,2,4,6,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,8,4,2,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,6,2,8,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,6,7,2,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,1,2,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,3,2,7,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,4,5,3,8,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,4,1,2,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,1,4,2,7,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,3,2,4,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,6,3,2,4,1,7,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,2,6,7,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,2,6,8,1,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,5,6,7,8,1,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,3,6,7,1,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,3,4,1,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,2,3,1,4,5,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,1,4,3,2,5,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,1,6,5,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,5,1,8,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,5,2,8,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,2,4,6,5,3,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,1,2,5,4,6,3,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,2,6,5,1,3,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,1,6,2,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,2,6,4,5,3,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,1,2,5,6,4,3,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,1,2,6,5,4,3,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,5,4,2,8,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,4,8,2,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,6,8,2,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,7,6,2,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,4,7,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,4,5,2,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,5,1,2,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,2,8,1,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,8,7,1,3,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,5,8,2,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,6,2,8,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,2,8,6,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,2,6,4,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,6,3,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,2,7,4,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,7,2,6,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,3,6,8,5,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,4,2,7,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,2,7,6,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,2,6,8,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,2,8,4,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,2,7,6,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,7,1,8,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,4,3,2,5,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,7,2,1,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,7,3,4,2,5,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,1,7,8,2,6,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,2,7,8,3,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,8,1,3,4,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,8,6,3,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,2,6,8,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,3,7,8,5,6,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,7,5,8,6,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,7,3,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,2,8,6,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,8,3,4,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,3,8,7,5,6,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [10,1,2,3,4,5,6,7,8,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [10,1,2,3,4,5,6,9,7,8]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [10,1,2,3,4,5,9,6,7,8]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [9,1,2,3,4,10,5,6,7,8]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [10,1,2,3,9,4,5,6,7,8]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [10,1,2,9,3,4,5,6,7,8]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [9,1,10,2,3,4,5,6,7,8]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [10,9,1,2,3,4,5,6,7,8]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [8,1,2,3,4,5,6,9,10,7]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [7,1,2,3,4,5,10,9,6,8]=>[7,2,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [6,1,2,3,4,10,9,5,7,8]=>[7,2,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [5,1,2,3,9,10,4,6,7,8]=>[7,3]=>[[1,2,3,7,8,9,10],[4,5,6]]=>001000000 [4,1,2,10,9,3,5,6,7,8]=>[7,2,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [3,1,10,9,2,4,5,6,7,8]=>[7,2,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [2,9,10,1,3,4,5,6,7,8]=>[7,3]=>[[1,2,3,7,8,9,10],[4,5,6]]=>001000000 [4,7,8,5,6,2,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,8,4,2,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,3,7,2,1,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,6,3,8,2,1,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,7,8,3,2,1,5,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,8,3,2,1,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,3,7,2,1,4,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,6,4,7,3,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,3,2,1,6,5,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,3,2,1,8,6,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,4,3,2,1,8,7,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,4,2,6,7,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,2,6,1,7,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,3,2,6,1,8,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,6,4,7,3,8,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,4,2,7,8,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,3,4,1,2,8,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,5,3,7,2,6,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,7,4,2,6,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,5,8,4,2,6,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,1,7,8,5,6,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,8,3,7,5,1,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,7,3,8,1,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,4,8,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,4,1,7,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,8,3,1,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,4,2,8,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,5,8,3,2,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,8,5,2,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,2,5,1,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,3,2,5,1,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,1,5,2,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,3,1,5,2,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,6,4,1,2,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,6,1,7,2,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,4,1,3,7,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,3,1,7,2,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,7,1,3,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,2,7,3,1,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,1,4,7,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,7,4,6,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,2,4,8,5,1,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,1,4,6,8,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,1,5,7,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,2,1,5,7,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,2,1,5,3,7,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,6,1,5,3,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,1,7,5,3,6,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,4,1,5,6,2,3,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,1,5,2,6,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,5,1,2,7,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,6,4,1,3,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,5,1,2,7,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,1,8,5,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,5,8,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,5,1,2,8,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,5,1,8,2,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,5,8,2,1,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,5,2,8,1,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,6,2,7,1,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,2,7,1,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,4,6,3,7,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,6,8,2,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,6,2,8,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,6,2,7,8,4,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,2,7,4,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,6,7,2,8,3,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,8,7,2,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,8,6,7,3,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,8,6,7,3,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,6,8,7,2,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,7,2,1,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,1,6,7,8,4,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,1,7,4,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,1,7,4,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,8,7,1,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,6,7,8,1,3,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,6,7,1,3,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,6,7,1,3,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,6,7,3,1,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,6,8,7,4,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,8,6,7,4,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,5,6,7,4,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,5,8,6,7,4,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,5,3,7,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,4,3,7,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,2,4,3,7,1,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,5,6,1,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,6,1,7,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,5,7,3,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,5,8,3,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,2,4,7,1,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,8,2,4,7,1,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,5,6,7,1,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,7,1,5,6,8,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,1,5,8,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,2,4,6,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,2,4,6,1,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,1,7,4,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,5,1,8,4,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,5,1,7,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,3,2,4,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,5,7,8,3,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,5,6,1,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,7,6,1,8,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,6,1,7,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,5,8,7,3,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,3,2,4,6,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,5,1,8,7,4,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,5,1,6,4,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,1,8,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,1,6,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,8,6,5,1,7,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,7,6,5,1,8,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,1,7,8,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,2,5,1,6,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,1,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,1,7,5,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,1,6,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,4,1,8,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,2,4,7,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,5,1,8,4,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,5,1,6,7,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,1,7,4,2,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,1,8,4,2,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,3,7,5,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,6,1,8,3,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,6,1,8,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,4,6,1,7,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,6,1,8,4,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,4,2,3,8,5,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,1,6,4,2,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,6,4,2,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,5,1,7,6,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,1,8,6,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,2,4,8,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,1,5,7,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,2,6,1,8,5,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,5,6,1,7,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,8,5,1,7,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,1,6,7,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,2,5,1,8,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,1,8,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,4,1,5,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,1,7,8,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,5,1,6,4,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,5,1,7,6,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,7,5,1,8,6,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,5,1,6,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,5,1,8,7,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,7,3,1,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,3,7,1,8,5,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,3,7,5,1,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,6,1,7,5,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,7,4,1,6,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,7,4,1,6,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,7,3,6,1,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,7,8,3,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,5,1,8,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,3,8,5,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,3,6,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,3,6,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,3,6,7,1,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,4,6,1,7,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,8,1,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,4,6,8,1,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,8,4,1,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,2,1,8,5,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,4,1,7,5,8,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,7,5,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,4,1,8,5,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,8,2,1,6,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,8,4,1,6,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,6,1,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,3,2,6,1,5,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,2,8,1,6,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,1,6,8,5,4,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,1,5,4,8,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,1,5,8,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,8,2,5,1,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,3,2,6,7,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,2,6,7,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,2,6,7,8,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,2,6,7,1,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,7,2,6,8,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,8,2,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,7,4,8,1,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,7,8,1,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,7,1,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,7,1,6,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,2,7,1,5,4,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,2,7,1,5,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,2,7,8,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,6,1,7,8,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,2,1,7,8,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,7,5,3,8,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,1,8,5,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,2,7,1,4,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,2,1,4,7,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,2,1,4,7,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,2,1,7,4,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,1,7,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,4,2,1,7,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,2,1,8,3,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,4,1,7,3,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,7,1,4,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,5,8,2,1,7,4,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,3,7,2,1,5,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,2,8,1,5,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,7,2,1,5,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,2,7,1,5,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,2,8,1,7,4,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,2,8,1,4,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,1,4,7,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,2,1,8,4,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,2,1,5,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,8,2,1,5,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,9,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [8,7,6,4,5,3,2,1,9]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [1,9,8,7,5,6,4,3,2]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [1,10,9,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [9,8,7,5,6,4,3,2,1,10]=>[3,1,1,1,1,1,1,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>111111100 [8,7,5,4,6,3,2,1,9]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [8,7,4,6,5,3,2,1,9]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [1,9,8,6,5,7,4,3,2]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [1,9,8,5,7,6,4,3,2]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [1,10,9,8,6,7,5,4,3,2]=>[3,1,1,1,1,1,1,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>111111100 [6,2,3,1,5,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,5,2,3,1,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,7,2,5,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,5,3,4,1,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,5,3,4,1,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,5,2,4,3,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,5,1,3,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,5,3,4,2,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,5,1,4,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,5,2,4,1,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,7,5,6,2,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,7,2,4,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,5,1,4,2,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,5,3,4,2,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,5,1,3,2,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,8,4,5,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,7,4,5,1,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,6,7,1,5,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,3,5,1,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,7,5,6,1,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,7,3,6,1,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,7,4,6,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,7,4,6,1,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,7,1,6,4,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,3,6,4,5,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,7,5,6,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,5,6,1,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,4,7,5,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,3,4,2,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,3,6,2,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,7,1,6,2,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,7,2,6,4,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,7,3,6,4,5,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,7,3,6,1,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,7,1,6,3,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,2,4,3,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,3,2,7,4,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,3,7,4,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,2,4,3,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,7,1,4,3,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,7,3,4,1,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,7,5,6,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,5,6,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,2,3,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,3,1,7,4,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,3,1,5,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,3,1,8,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,2,8,6,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,6,7,2,3,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,3,1,7,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,7,2,6,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,7,2,6,1,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,2,7,5,6,1,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,2,5,1,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,6,7,1,5,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,1,3,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,8,6,7,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,8,3,7,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,3,2,7,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,5,6,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,2,6,4,5,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,7,1,6,4,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,7,4,6,1,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,7,4,6,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,2,6,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,2,6,1,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,4,7,1,6,2,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,4,6,2,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,7,1,6,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,5,7,3,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,7,4,6,1,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,7,1,6,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,4,6,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,1,6,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,3,6,1,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,4,8,3,6,1,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,8,1,3,2,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,8,6,3,2,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,5,8,7,3,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,8,7,3,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,2,8,4,6,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,2,8,4,1,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,2,8,4,5,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,8,4,5,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,6,1,5,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,1,8,4,5,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,6,8,4,5,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,6,8,4,5,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,7,8,4,1,5,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,3,7,8,4,6,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,7,8,2,4,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,7,8,2,4,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,7,8,4,2,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,1,8,4,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,8,7,3,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,3,7,1,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,2,8,7,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,1,8,4,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,7,8,4,6,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,7,8,1,4,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,2,7,8,5,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,1,3,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,2,5,8,3,4,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,8,5,4,3,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,3,5,4,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,4,5,3,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,4,8,5,2,3,1,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,5,8,2,4,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,1,2,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,2,1,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,6,8,4,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,1,8,3,4,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,5,8,1,4,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,7,5,8,3,4,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,8,5,4,3,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,6,8,5,1,3,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,8,1,4,3,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,8,6,3,4,2,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,4,8,3,6,5,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,1,5,6,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,8,3,5,6,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,6,8,4,1,3,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,8,1,5,3,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,6,8,4,5,3,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,3,8,5,4,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,1,8,5,4,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,3,8,4,6,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,3,8,4,6,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,8,4,3,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,7,4,1,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,5,4,3,1,6,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,5,8,4,2,3,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,1,3,2,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,3,2,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,2,8,5,4,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,2,5,3,1,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,4,3,5,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,3,4,5,1,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,2,8,4,5,3,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,3,8,5,4,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,3,1,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,1,4,8,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,3,2,4,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,1,5,3,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,8,4,5,3,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,8,5,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,4,2,5,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,5,3,2,4,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,8,1,5,2,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,1,4,8,2,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,2,8,4,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,8,5,4,3,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,5,4,3,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,4,8,5,3,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,4,8,5,3,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,7,8,4,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,2,7,4,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,5,1,4,7,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,8,1,5,4,7,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,2,8,5,7,4,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,4,8,7,5,3,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,1,4,3,7,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,2,8,7,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,1,2,8,7,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,4,8,1,7,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,6,1,4,2,8,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,2,8,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,7,2,8,4,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,1,4,2,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,7,1,4,8,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,8,1,5,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,2,8,5,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,8,4,5,3,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,7,8,5,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,2,8,4,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,1,2,8,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,1,3,2,4,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,1,3,2,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,7,3,5,8,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,5,8,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,1,3,7,2,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,5,8,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,5,8,3,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,1,7,3,5,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,1,3,2,4,7,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,8,1,7,3,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,1,7,4,3,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,1,2,8,4,3,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,8,4,7,5,3,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,8,7,4,5,3,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,8,1,7,5,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,7,1,5,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,6,1,4,7,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,1,4,2,7,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,2,7,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,2,8,6,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,1,2,8,6,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,4,8,1,6,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,8,7,1,6,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,2,8,1,7,6,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,1,7,6,4,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,3,4,1,6,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,3,4,1,8,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,3,4,1,7,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,3,4,1,5,2,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,3,4,1,6,2,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,2,7,3,4,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,2,8,3,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,3,5,1,6,2,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,2,4,1,7,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,1,7,3,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,2,7,3,8,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,7,3,8,1,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,7,4,8,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,2,8,3,7,1,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [9,2,1,3,4,5,6,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [10,2,1,3,4,5,6,7,8,9]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [9,2,3,1,4,5,6,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [4,2,3,5,6,7,8,9,1]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [3,4,2,5,6,7,8,9,1]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [3,2,4,5,6,7,8,9,10,1]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [6,5,3,2,1,4,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,6,3,5,2,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,3,5,2,4,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,2,4,5,7,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,4,5,3,1,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,6,1,4,5,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,7,4,5,2,1,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,8,4,5,7,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,7,4,3,6,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,8,7,4,3,6,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,4,3,6,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,3,5,1,4,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,6,8,5,7,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,8,3,5,1,7,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,8,4,7,6,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,8,4,7,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,8,1,5,6,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,1,3,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,7,4,1,6,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,3,6,1,4,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,3,6,1,2,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,8,7,4,1,6,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,1,2,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,1,4,2,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,3,1,2,4,7,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,4,5,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,7,4,5,1,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,4,1,6,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,3,6,2,4,7,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,3,2,1,4,7,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,3,5,2,1,4,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,3,6,2,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,7,4,2,6,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,6,8,4,5,7,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,1,8,4,5,7,2,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,3,5,1,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,1,5,8,3,6,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,3,6,1,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,1,8,2,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,8,1,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,2,1,5,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,8,2,5,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,1,4,7,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,3,1,6,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,5,3,8,6,1,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,1,8,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,6,8,10,1,3,5,7,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,7,8,9,10,1,3,4,5,6]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [5,6,7,8,10,1,2,3,4,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,4,6,8,10,12,1,3,5,7,9,11]=>[6,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>00000100000 [7,8,9,10,11,12,1,2,3,4,5,6]=>[6,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>00000100000 [4,5,7,6,2,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,7,2,6,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,3,7,6,1,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,2,4,7,1,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,1,3,5,8,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,7,6,1,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,8,4,7,6,1,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,4,7,1,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,4,7,2,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,3,2,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,2,1,7,6,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,7,1,2,8,5,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,2,1,7,6,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [1,4,2,7,8,6,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,7,1,6,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,7,2,1,6,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [1,5,7,2,8,6,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,7,6,8,1,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,4,8,7,2,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,8,7,6,1,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,7,2,8,1,5,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,7,8,1,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,8,7,1,6,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,2,8,1,7,6,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [1,3,8,2,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,3,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,7,8,2,6,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,1,7,2,6,5,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,1,2,7,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,2,3,7,6,5,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,1,4,5,6,7,8,9,10,2]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [10,3,4,5,6,7,8,1,2,9]=>[7,2,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [10,1,4,5,6,7,8,9,2,3]=>[7,2,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [2,10,4,5,6,7,8,1,3,9]=>[7,2,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [8,3,4,5,6,7,1,10,2,9]=>[6,3,1]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>100100000 [3,1,10,5,6,7,8,9,2,4]=>[6,3,1]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>100100000 [9,1,4,5,6,7,8,2,10,3]=>[7,2,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>101000000 [6,7,1,8,4,5,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,1,5,8,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,7,1,5,8,3,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,6,5,1,8,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,5,1,8,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,5,1,8,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,4,1,8,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,4,5,7,6,2,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,5,1,8,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,4,6,1,8,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,5,6,1,8,7,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,6,1,8,2,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,6,1,8,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,1,3,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,6,1,2,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,6,1,2,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,6,1,8,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,3,1,5,8,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,3,5,7,2,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,2,5,7,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,1,5,8,3,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,5,1,8,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,6,1,3,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,3,6,1,4,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,3,1,8,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,4,1,3,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,2,1,4,3,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,2,4,3,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,3,4,2,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,1,4,2,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,4,1,2,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,3,1,2,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,4,1,2,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,6,4,1,3,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,7,1,4,3,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,1,4,2,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,1,3,2,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,6,7,2,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,1,2,3,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,1,2,4,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,1,3,4,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,3,1,4,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,2,1,4,8,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,2,1,8,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,5,2,1,8,3,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,5,2,7,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,2,3,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,1,2,3,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,2,1,3,8,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,2,3,1,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,2,4,1,8,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,2,1,4,8,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,1,2,4,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,1,3,2,4,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,2,3,4,7,6,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,2,1,3,4,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,3,1,4,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,3,6,1,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,6,5,8,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,3,5,8,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,3,5,8,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,1,5,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,5,3,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,2,6,5,1,8,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,6,5,8,1,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,6,5,8,3,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,4,6,1,5,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,6,5,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,6,5,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,1,5,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,4,3,8,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,4,6,8,1,5,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,1,8,5,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,6,8,5,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,6,8,5,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,6,8,5,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,1,8,5,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,8,1,5,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,8,3,5,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,8,3,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,8,3,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,3,1,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,3,8,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,3,8,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,3,8,5,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,6,8,5,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,6,8,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,6,8,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,1,6,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,3,6,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,6,1,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,3,6,8,1,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,6,3,8,1,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,4,6,8,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,6,8,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,1,8,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,8,1,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,8,3,1,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,2,8,5,7,1,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,4,8,7,1,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,2,8,7,5,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,6,4,8,1,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,6,4,8,7,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,6,1,4,8,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,2,8,7,5,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [1,6,4,7,3,8,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,7,4,5,8,2,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,4,7,3,6,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,6,3,4,8,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,3,7,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,6,3,8,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,7,4,8,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,7,3,4,8,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,4,5,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,4,7,3,8,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,1,7,5,8,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,8,6,3,7,1,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,1,3,7,2,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,2,1,7,3,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,2,1,8,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,1,3,8,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,2,4,8,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,6,1,5,8,2,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,6,1,4,5,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,5,1,3,4,8,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,2,4,8,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,5,1,3,7,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,3,2,8,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,2,1,5,8,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,5,3,4,1,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,5,2,1,8,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,4,8,7,1,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,6,4,8,7,2,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,7,8,3,6,1,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,2,8,7,1,5,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,4,8,7,1,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,8,3,7,1,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,4,8,7,2,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,2,5,1,3,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,2,5,1,3,8,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,2,1,5,4,8,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,8,2,1,5,4,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,2,1,5,4,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,1,6,4,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,5,1,6,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,1,5,6,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,1,4,6,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,2,1,4,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,2,1,4,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,7,1,4,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,8,1,4,6,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,8,1,4,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,2,1,4,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,8,2,1,5,7,4,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,2,5,1,7,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,2,5,1,8,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,2,1,5,8,4,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,2,1,4,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,1,7,5,8,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,1,6,8,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,7,6,1,8,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,7,6,8,1,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,8,6,7,1,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,8,6,1,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,8,1,6,7,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,1,8,7,5,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,2,1,7,4,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,8,1,7,4,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,8,1,6,4,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,1,6,4,8,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,7,6,1,3,8,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,8,6,1,3,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,8,7,1,3,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,8,3,4,1,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,7,8,1,3,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,6,8,1,3,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,6,7,1,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,1,8,4,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,2,1,8,4,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,2,1,8,5,4,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,3,8,5,1,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,7,8,6,1,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,1,8,6,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,1,6,8,5,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,1,8,7,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,6,8,1,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,6,8,7,1,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,6,7,1,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,2,6,1,7,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,4,8,7,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,4,6,2,7,8,5,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,8,5,4,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,7,5,4,6,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,3,5,4,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,2,5,4,8,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,6,2,8,7,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,1,2,4,6,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,1,8,2,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,3,8,5,4,1,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,8,1,5,2,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,4,1,5,3,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,5,1,6,3,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,7,6,4,3,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,7,8,4,3,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,1,8,6,4,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,7,6,4,3,2,5]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,1,6,7,5,8,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,2,1,4,5,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,1,2,5,7,3,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,1,5,6,3,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,6,1,5,7,2,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,3,6,8,5,7,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,1,5,2,3,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,7,5,2,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,3,8,1,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,8,2,3,4,1,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,6,4,7,8,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,5,7,4,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,5,8,4,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,8,7,4,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,1,4,3,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,8,1,4,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,7,1,4,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,5,4,1,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,6,4,1,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,5,1,4,3,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,5,1,4,3,2,8]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,2,3,4,5,6,9,7,8]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,4,5,8,6,9,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,2,3,4,7,5,8,9,6]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,2,3,6,4,7,8,9,5]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,2,5,3,6,7,8,9,4]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,4,2,5,6,7,8,9,3]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [9,8,1,2,3,4,5,6,7]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [7,8,9,1,2,3,4,5,6]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [6,7,8,9,1,2,3,4,5]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [9,8,7,6,5,4,3,1,2]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [9,10,1,2,3,4,5,6,7,8]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [8,9,10,1,2,3,4,5,6,7]=>[7,3]=>[[1,2,3,7,8,9,10],[4,5,6]]=>001000000 [10,9,8,1,2,3,4,5,6,7]=>[7,1,1,1]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>111000000 [7,8,9,10,1,2,3,4,5,6]=>[6,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>000100000 [10,9,8,7,6,5,4,3,1,2]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [3,4,6,2,7,1,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,7,5,4,1,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,2,8,1,5,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,2,5,4,7,8,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,4,6,3,7,5,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,6,7,2,5,8,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,6,1,7,5,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,5,4,6,2,8,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,4,6,3,5,8,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,3,2,7,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,3,2,7,1,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,1,7,8,5,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,4,1,6,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,1,6,4,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,4,3,2,1,5,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,8,2,1,6,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,5,8,2,1,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,4,3,2,1,7,5]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,3,7,2,5,1,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,7,2,8,1,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,7,2,8,1,4,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,5,2,1,4,7,6,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,5,2,1,8,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,5,4,1,3,7,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,2,8,6,1,4,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,8,2,1,4,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,7,3,2,1,5,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,3,2,1,5,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,5,2,1,4,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,2,8,6,1,4,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,6,5,4,3,2,1,9]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [8,9,7,6,5,4,3,2,1,10]=>[3,1,1,1,1,1,1,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>111111100 [7,6,8,5,4,3,2,1,9]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [7,8,3,5,4,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,3,7,5,2,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,4,1,6,3,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,1,6,2,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,1,6,2,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,1,6,2,8,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,6,5,1,8,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,6,5,1,8,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,6,5,1,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,6,4,1,5,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,6,1,5,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,6,1,4,8,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,6,1,4,8,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,5,1,8,4,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,5,1,8,6,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,6,1,5,8,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,6,4,1,8,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,7,6,3,8,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,6,3,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,3,6,2,8,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,6,4,1,8,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,5,1,8,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,5,1,8,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,4,8,7,6,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,4,8,5,7,1,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,5,4,8,1,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,5,8,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,4,5,8,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,3,5,8,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,5,4,8,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,3,4,8,7,5,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,4,8,7,5,1,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,7,6,5,4,8,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,3,5,6,8,4,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,5,6,8,1,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,5,6,8,1,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,1,5,8,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,1,5,8,7,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,1,5,8,3,7,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,1,6,3,8,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,1,5,8,3,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,1,5,8,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,1,5,8,2,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,5,7,8,2,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,5,7,8,2,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,6,4,5,8,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,7,3,6,1,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,4,5,8,6,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,5,4,8,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,4,8,5,6,1,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,8,7,1,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,4,8,1,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,4,8,1,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,8,5,1,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,5,4,8,2,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,3,5,8,2,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,4,5,8,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,3,5,8,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,5,4,8,2,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,4,8,5,1,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,3,4,8,1,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,4,8,1,5,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,8,2,6,1,5,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,6,7,2,5,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,1,7,2,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,1,7,5,6,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,8,2,7,5,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,2,7,4,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,7,1,6,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,2,7,1,6,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,1,7,2,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,4,7,2,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,3,7,5,6,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,1,7,4,6,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,2,7,5,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,4,7,5,6,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,7,5,6,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,3,7,5,6,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,3,7,1,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,1,7,3,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,2,8,6,4,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,5,1,8,6,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,7,4,2,8,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,7,3,8,5,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,8,3,5,6,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,8,6,2,5,1,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,4,2,8,6,1,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,1,8,4,2,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,7,8,2,6,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,3,7,8,5,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,3,7,8,4,5,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,3,7,8,1,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,5,4,7,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,1,4,8,2,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,4,8,6,1,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,3,8,4,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,1,3,6,7,2,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,2,8,1,3,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,1,4,7,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,1,3,6,2,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,7,4,2,6,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,1,2,8,7,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,3,1,4,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,1,6,4,2,7,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,5,8,2,7,1,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,6,2,8,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,6,8,1,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,5,6,1,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,8,4,7,2,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,2,5,4,8,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,1,6,5,4,8,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,1,6,5,8,3,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,6,8,4,3,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,4,7,6,3,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,7,1,5,4,3,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,1,5,4,3,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,1,5,7,3,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,6,1,4,7,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,6,1,4,3,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,5,1,3,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,8,2,4,3,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,6,2,4,8,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,3,8,4,6,2,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,3,5,8,6,2,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,2,1,4,3,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,3,1,4,6,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,6,3,2,5,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,3,5,1,6,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,6,5,7,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,6,5,1,8,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,2,3,4,5,6,7,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,9,2,3,4,5,6,7,8]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [9,1,2,3,4,5,6,7,8,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [7,8,1,2,3,4,5,6,9]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,8,9,2,3,4,5,6,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,10,2,3,4,5,6,7,8,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [8,9,1,2,3,4,5,6,7,10]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [7,1,8,2,3,4,5,6,9]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [6,8,1,2,3,4,5,7,9]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,8,2,9,3,4,5,6,7]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,7,9,2,3,4,5,6,8]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [1,9,10,2,3,4,5,6,7,8]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [3,6,4,8,7,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,4,3,8,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,2,4,7,8,5,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,6,2,4,8,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,7,2,8,1,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,8,4,5,6,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,6,4,8,7,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,8,5,3,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,5,4,2,8,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,5,2,7,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,1,3,4,2,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,5,3,2,8,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,6,8,7,4,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,8,6,3,4,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,1,4,5,6,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,8,3,6,5,7,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,1,3,2,7,5,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,3,8,5,7,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,5,8,1,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,6,7,3,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,6,4,3,7,2,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,3,5,4,2,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,5,7,4,3,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,8,7,1,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,3,8,2,1,7,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,5,7,8,4,1,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,4,6,3,1,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,5,4,3,1,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,4,2,8,5,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,6,5,3,2,7,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,5,1,2,4,7,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,7,5,8,2,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,5,8,2,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,3,8,5,7,6,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,8,5,7,1,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,1,5,6,2,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,5,2,1,4,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,2,5,6,1,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,1,5,6,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,2,5,6,3,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,5,7,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,8,6,2,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,8,6,1,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,1,5,7,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,6,5,7,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,5,8,1,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,7,6,8,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,3,7,8,6,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,2,5,8,1,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,8,5,7,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,1,5,7,6,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,8,6,1,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,2,8,6,5,7,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,1,3,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,5,6,3,7,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,6,5,4,1,8,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,3,5,4,7,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,1,5,3,4,7,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,5,6,2,4,1,8,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,2,6,3,7,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,1,2,6,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,6,5,7,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,8,6,2,7,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,1,6,3,7,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,8,5,6,3,7,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,6,5,4,2,8,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,6,1,4,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,1,4,2,6,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,7,3,5,6,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,4,1,5,6,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,7,6,4,1,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,6,1,5,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,7,6,4,5,2,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,3,6,5,7,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,1,6,5,7,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,3,5,7,6,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,5,4,1,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,5,4,3,7,8,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,5,6,4,2,1,8,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,2,6,5,7,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,6,2,5,1,8,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,4,3,5,7,8,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,1,3,4,5,7,8,2]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,2,6,4,5,1,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,3,6,5,7,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,7,8,5,6,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,7,2,5,1,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,7,2,5,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,4,7,1,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,6,7,5,8,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,7,5,8,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,2,6,1,5,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,6,2,5,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,1,2,5,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,6,2,5,7,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,8,6,4,7,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,8,3,6,7,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,5,8,3,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,6,4,7,2,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,5,1,3,4,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,3,4,5,1,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,4,3,1,5,7,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,7,4,8,2,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,7,4,1,6,2,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,7,6,3,1,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,2,7,8,5,4,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,1,2,8,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,1,3,6,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,2,1,4,5,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,4,1,5,3,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,1,6,4,3,8,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,1,8,2,7,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,7,5,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,1,7,4,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,5,6,4,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,8,6,5,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,6,5,7,3,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,4,7,5,8,2,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,5,3,6,2,7,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,3,7,4,6,8,2,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,7,5,6,3,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,6,5,4,8,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,6,5,7,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,2,7,6,8,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,7,5,3,8,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,5,6,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,1,7,6,8,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,5,6,2,7,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,6,4,2,7,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,5,2,4,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,6,3,7,4,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,1,6,2,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,1,4,7,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,4,1,7,2,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,7,1,8,3,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,4,1,8,5,2,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,1,4,8,3,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,7,1,8,4,5,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,2,8,4,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,1,4,3,8,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,6,2,5,8,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,5,1,3,7,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,2,1,7,3,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,2,1,8,5,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,4,2,8,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,3,1,5,8,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,6,8,4,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,6,8,5,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,6,8,5,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,4,8,6,7,5,2,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,8,6,7,3,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,8,5,4,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,8,5,6,7,2,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,3,5,8,4,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,3,8,6,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,2,8,7,3,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,5,8,7,3,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,8,5,7,4,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,3,8,7,5,6,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,7,4,6,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,1,8,5,7,6,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,5,8,7,4,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,1,8,7,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,6,7,4,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,8,7,5,6,3,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,2,1,6,3,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,1,4,3,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,1,4,3,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,1,4,3,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,4,1,3,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,4,3,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,4,3,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,4,1,3,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,2,1,3,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,2,1,3,5,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,1,3,6,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,1,6,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,2,1,8,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,1,4,3,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,4,3,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,4,3,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,1,4,3,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,1,3,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,2,1,3,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,2,1,4,3,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,6,2,1,4,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,1,4,6,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,4,8,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,4,1,8,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,2,8,1,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,1,8,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,4,1,8,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,1,6,8,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,1,6,3,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,1,3,6,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,3,8,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,3,8,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,1,3,8,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,1,8,3,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,1,8,6,3,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,2,1,6,4,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,6,1,4,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,8,1,3,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,8,1,3,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,8,3,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,8,3,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,8,6,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,8,1,6,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,8,6,1,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,8,6,1,3,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,4,6,2,1,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,8,2,1,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,8,4,1,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,8,1,4,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,8,4,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,6,8,4,3,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,6,4,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,6,4,1,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,6,2,1,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,4,2,1,3,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,6,1,5,4,8,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,4,3,8,1,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,4,1,5,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,6,1,5,2,8,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,5,2,8,1,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,2,6,5,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,2,6,1,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,1,7,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,1,5,2,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,8,3,4,2,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,8,1,3,2,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,5,4,8,3,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,7,6,8,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,7,6,8,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,1,8,5,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,6,5,8,1,7,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,5,4,7,2,8,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,5,4,8,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,6,3,8,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,6,5,8,1,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,4,6,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,6,1,3,2,7,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,6,3,4,2,7,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,3,7,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,5,1,7,2,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,5,2,6,1,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,5,2,6,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,6,3,5,1,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,7,1,5,3,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,4,1,5,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,4,1,7,3,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,4,3,6,1,7,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,8,4,6,1,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,8,1,5,4,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,7,6,8,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,7,1,8,5,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,5,8,1,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,5,7,2,4,3,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,8,2,4,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,4,1,8,5,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,8,2,4,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,8,1,5,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,7,3,8,5,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,3,2,8,5,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,8,5,6,2,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,8,2,6,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,8,1,5,4,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,4,5,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,7,2,6,3,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,2,6,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,8,1,7,2,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,6,5,8,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,5,7,4,8,1,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,1,8,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,7,4,8,3,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,7,1,8,3,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,6,3,8,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,4,3,7,8,6,5,11,12,10,9]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [2,1,5,6,4,3,8,7,11,12,10,9]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [2,1,5,6,4,3,9,10,8,7,12,11]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [2,1,5,6,4,3,9,11,8,12,10,7]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [2,1,5,7,4,8,6,3,11,12,10,9]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,4,2,1,6,5,8,7,11,12,10,9]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,4,2,1,6,5,9,10,8,7,12,11]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,4,2,1,6,5,9,11,8,12,10,7]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,4,2,1,7,8,6,5,10,9,12,11]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,4,2,1,7,9,6,10,8,5,12,11]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,4,2,1,7,9,6,11,8,12,10,5]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,5,2,6,4,1,8,7,11,12,10,9]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,5,2,6,4,1,9,10,8,7,12,11]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,5,2,6,4,1,9,11,8,12,10,7]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [3,5,2,7,4,8,6,1,11,12,10,9]=>[6,4,2]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>01000100000 [2,8,3,1,5,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,3,4,7,1,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,8,3,5,7,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,5,3,1,8,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,1,8,5,3,6,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,1,3,8,2,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,4,8,3,2,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,8,4,3,2,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,5,4,3,2,6,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,4,3,8,5,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,7,3,8,4,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,4,7,8,3,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,1,5,7,3,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,5,3,7,4,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,4,7,6,5,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,6,8,5,3,7,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,7,4,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,8,1,7,3,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,7,1,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,4,1,3,8,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,5,6,3,2,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,1,7,8,5,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,7,4,6,3,1,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,8,4,3,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,4,8,3,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,6,3,4,1,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,7,3,1,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,1,8,3,5,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,7,3,5,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,1,3,6,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,1,7,3,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,2,6,3,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,2,6,3,5,4,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,2,8,7,4,5,6,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,3,7,1,5,6,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,1,2,7,5,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,2,7,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,5,2,6,7,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,1,8,6,7,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,5,7,6,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,7,8,5,2,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,1,6,4,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,6,1,5,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,3,8,6,1,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,6,1,5,3,4,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,7,1,6,4,5,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,1,7,5,6,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [1,8,6,7,5,4,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,3,5,2,1,4,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,5,7,2,8,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,2,7,4,3,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,3,6,1,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,4,6,2,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,4,5,7,2,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,4,6,3,8,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,4,6,3,7,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,7,3,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,4,7,5,1,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,1,4,7,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,3,7,1,4,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,8,5,7,4,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,3,7,1,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,1,4,7,8,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,3,4,7,5,8,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,4,6,8,3,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,1,3,5,8,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,3,7,1,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,6,4,1,7,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,1,2,5,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,7,5,4,1,3,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,2,6,4,1,3,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,6,7,4,2,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,6,8,4,2,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,7,8,2,4,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,6,2,1,4,7,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,7,6,2,1,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,6,2,8,7,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,8,6,4,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,6,7,5,4,8,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,7,4,5,8,2,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,3,5,1,8,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,1,6,7,5,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,5,7,3,6,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,3,6,1,2,8,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,1,7,2,5,6,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,7,1,6,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,2,1,8,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,6,2,7,8,5,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,6,1,2,5,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,1,4,8,2,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,3,1,8,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,5,6,4,7,1,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,6,1,5,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,1,5,7,6,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,2,7,1,6,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,8,2,7,6,1,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,8,2,7,6,5,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,8,2,7,6,5,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,8,7,2,6,5,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,8,7,2,6,5,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,2,6,1,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,2,1,6,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,1,6,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,2,1,6,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,2,6,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,2,6,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,6,2,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,6,2,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,6,1,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,6,5,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,8,7,3,6,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,6,3,4,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,6,3,1,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,7,6,3,2,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,6,2,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,6,2,1,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,7,6,4,2,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,6,4,2,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,6,4,1,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,6,4,3,1,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,2,1,5,6,4,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,6,7,3,8,2,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,5,7,1,3,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,5,1,7,4,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,1,5,7,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,1,5,7,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,7,3,8,1,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,6,7,3,8,5,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,6,7,8,3,4,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,6,7,8,3,1,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,1,6,7,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,1,6,7,8,4,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,6,1,7,8,4,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,6,7,8,3,2,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,5,7,2,1,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,7,2,8,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,4,2,1,7,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,6,2,7,8,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,6,7,2,8,5,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,1,5,7,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,6,7,8,2,4,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,6,7,8,4,2,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,6,7,1,8,5,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,6,1,7,8,5,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,4,3,6,5,8,7,9]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,3,6,5,8,7,9]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,6,3,5,8,7,9]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,6,3,8,5,7,9]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,6,3,7,5,9,8]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,5,3,7,6,9,8]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,3,1,5,4,7,6,9,8]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [1,3,2,5,4,7,6,9,8]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,3,6,5,8,7,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,4,6,1,3,5,8,7,9]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,6,3,5,8,7,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,4,1,6,8,3,5,7,9]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,6,3,8,5,7,10,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,4,1,6,3,8,9,5,7]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,6,3,8,5,10,7,9]=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>000010000 [2,4,1,6,3,7,5,8,9]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [2,4,1,6,3,8,5,9,7,10]=>[6,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>000100000 [2,4,1,5,3,8,6,9,7]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,6,3,7,5,9,8,10]=>[6,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>000100000 [2,3,1,6,4,7,5,9,8]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,4,1,5,3,7,6,9,8,10]=>[6,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>000100000 [1,4,2,5,3,7,6,9,8]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [2,3,1,5,4,7,6,9,8,10]=>[6,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>000100000 [1,3,2,5,4,7,6,9,8,10]=>[6,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>000100000 [7,1,2,3,4,5,6,8,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,4,3,6,2,5,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,3,7,2,5,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,3,7,6,8,2,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,4,3,7,5,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,3,7,2,6,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,3,7,4,8,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,6,5,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,4,8,2,6,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,4,8,3,7,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,2,3,6,5,8,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,2,4,5,7,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,8,4,5,2,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,1,4,5,3,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,7,4,1,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,3,6,1,5,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,3,1,6,4,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,1,4,7,6,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,1,8,6,2,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,1,8,2,6,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,8,4,2,6,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,3,8,5,2,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,1,3,8,5,2,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,2,8,4,1,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,8,3,6,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,8,3,6,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,8,2,3,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,2,3,8,4,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,2,3,8,4,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,8,1,3,5,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,3,8,7,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,1,3,8,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,8,1,3,7,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,4,8,3,7,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,4,1,3,8,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,4,8,2,3,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,8,1,5,2,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,8,1,2,4,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,4,8,2,7,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,1,2,8,7,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,1,6,4,2,8,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,6,2,8,7,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,4,2,5,8,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,2,8,7,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,6,1,8,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,1,5,8,2,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,8,7,1,2,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,8,1,7,2,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,3,4,8,7,2,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,3,5,4,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,5,8,6,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,7,1,8,3,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,7,6,5,3,8,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,6,5,3,8,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,6,5,2,4,8,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,7,6,4,8,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,6,3,8,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,6,2,4,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,6,5,1,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,3,5,4,8,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,6,3,4,8,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,4,2,8,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,7,1,6,2,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,6,7,4,8,5,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,6,7,4,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,6,8,3,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,6,5,1,4,3,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,2,1,7,4,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,2,1,7,3,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,5,2,7,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,5,1,3,7,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,2,5,3,1,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,4,3,2,1,8,6]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,7,4,3,2,8,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,6,2,4,8,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,3,6,4,8,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,7,5,3,8,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,1,8,5,3,6,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,3,2,7,1,6,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,7,2,6,1,5,4,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [1,8,5,7,4,3,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,5,7,2,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,6,1,7,2,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,2,8,5,6,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,7,5,8,2,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,2,6,8,4,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,5,8,1,4,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,6,5,8,4,1,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,4,8,3,2,1,7]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,3,5,1,8,4,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,1,5,7,3,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,7,4,8,5,2,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,2,5,8,6,3,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,1,8,4,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,3,8,7,4,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,4,8,1,7,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,8,1,7,3,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,7,8,1,5,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,8,7,1,3,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,8,7,2,1,6,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,3,7,6,1,5,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,2,7,6,5,1,4,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,3,8,7,6,2,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,4,8,7,6,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,5,8,7,2,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,3,8,6,5,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,6,4,3,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,7,3,6,4,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,8,7,6,2,5,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [3,8,7,6,5,1,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,8,7,6,5,4,1,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [3,4,1,2,5,6,7,8,9]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,2,1,4,5,6,7,8,9]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [4,3,2,1,5,6,7,8,9]=>[6,1,1,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>11100000 [5,6,7,8,1,2,3,4,9]=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>00010000 [5,4,3,2,1,6,7,8,9]=>[5,1,1,1,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>11110000 [6,5,4,3,2,1,7,8,9]=>[4,1,1,1,1,1]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>11111000 [7,6,5,4,3,2,1,8,9]=>[3,1,1,1,1,1,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>11111100 [3,2,1,4,5,6,7,8,9,10]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [4,3,2,1,5,6,7,8,9,10]=>[7,1,1,1]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>111000000 [5,4,3,2,1,6,7,8,9,10]=>[6,1,1,1,1]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>111100000 [6,5,4,3,2,1,7,8,9,10]=>[5,1,1,1,1,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>111110000 [7,6,5,4,3,2,1,8,9,10]=>[4,1,1,1,1,1,1]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>111111000 [8,7,6,5,4,3,2,1,9,10]=>[3,1,1,1,1,1,1,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>111111100 [3,6,5,1,2,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,5,8,2,4,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,5,7,2,4,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,7,8,4,3,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,2,6,4,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,2,5,4,3,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,2,4,6,3,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,2,6,5,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,5,7,8,3,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,5,8,7,3,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,1,8,3,6,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,1,7,8,5,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,7,4,8,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,3,8,1,4,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,5,8,7,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,8,4,7,2,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,8,7,5,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,1,6,3,2,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,2,3,7,5,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,2,3,8,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,2,3,5,8,6,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,1,4,3,7,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,3,2,4,1,6,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,7,3,4,8,6,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,3,2,4,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,1,4,3,8,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,2,3,5,7,6,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,1,2,3,6,7,5,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,1,2,3,6,8,5,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,1,2,3,8,5,6,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,2,3,7,5,6,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,1,2,3,6,5,7,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,1,8,5,4,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,2,6,3,4,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,2,7,3,4,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,2,8,3,4,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,8,7,1,4,2,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,8,1,4,2,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,8,1,4,2,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,5,7,8,2,4,1,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,7,1,4,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,2,8,3,1,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,2,7,3,1,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,5,4,3,2,6]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,1,7,4,5,3,2,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,8,3,7,1,4,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,7,3,4,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,3,2,4,1,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,2,4,3,6,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,2,3,5,6,8,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [6,1,2,3,8,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,2,3,7,8,6,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,2,3,8,7,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,2,3,8,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,2,3,5,8,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,2,4,3,1,7,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,2,4,8,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,6,3,4,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,3,2,4,7,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,2,4,3,1,8,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,2,3,5,7,8,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,1,2,3,6,8,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,8,5,4,2,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,8,1,7,3,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,8,5,7,6,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,2,6,3,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,1,4,7,2,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,4,2,8,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,3,8,5,4,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,1,7,3,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,3,6,5,4,2,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,3,1,6,5,4,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,2,3,6,5,4,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,8,1,2,7,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,8,2,7,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,8,2,7,6,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,2,7,6,3,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,2,1,7,4,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,6,3,8,5,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,3,8,7,4,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,8,7,1,4,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,8,4,1,7,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,8,7,6,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,2,8,7,6,5,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,1,8,7,6,5,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,3,8,7,6,5,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,7,4,6,1,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,3,1,2,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,1,2,4,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,8,1,7,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,5,8,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,8,7,4,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,5,1,8,7,2,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,5,8,3,1,7,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,8,7,6,2,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,1,4,8,7,6,2,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,4,8,7,6,5,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,2,7,5,8,6,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,8,2,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,3,7,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,8,1,2,6,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,3,7,8,2,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,7,8,1,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,8,1,3,6,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,2,6,7,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,2,6,7,5,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,5,7,1,3,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,8,1,6,7,3,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,6,8,3,7,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,6,4,7,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,3,4,1,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,3,7,4,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,8,3,7,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,1,6,7,5,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,5,7,1,6,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,7,2,3,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,4,2,6,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,5,7,4,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,2,4,7,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,3,5,7,1,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,4,7,3,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,7,1,4,6,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,1,2,4,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,1,4,6,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,7,1,3,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,8,3,7,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,5,7,1,2,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,7,1,3,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,4,7,1,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,4,7,1,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,1,4,7,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,4,6,8,2,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,5,8,2,7,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,6,3,1,7,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,2,8,1,7,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,4,5,7,2,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,7,3,6,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,5,7,1,6,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,6,8,3,7,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,8,2,7,5,1,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,8,4,2,7,1,5,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,6,4,7,3,1,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,4,5,7,3,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,2,5,7,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,4,7,2,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,1,3,4,6,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,7,2,4,6,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,4,5,7,1,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,3,4,5,1,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,4,5,2,6,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,7,2,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,2,3,4,6,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,2,3,6,1,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,2,8,5,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,8,5,3,7,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,1,8,4,3,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,8,4,3,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,8,4,3,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,4,8,2,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,4,8,2,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,4,1,8,2,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,4,5,2,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,5,4,3,2,7,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,4,2,8,1,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,3,2,8,7,1,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,3,2,8,7,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,3,2,1,7,8,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,6,3,2,7,8,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,6,3,2,7,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,4,2,7,8,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,4,3,7,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,4,3,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,4,1,3,6,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,4,2,6,1,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,7,3,2,6,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,3,2,6,4,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,2,5,4,1,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,3,2,1,5,4,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,7,5,6,2,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,7,5,6,2,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,5,6,1,3,4,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,5,7,1,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,5,7,2,8,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,4,7,2,8,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,4,1,7,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,4,6,2,1,8,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,5,7,1,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,6,1,7,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,5,6,7,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,4,6,8,7,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,6,8,7,1,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,6,8,7,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,6,8,7,2,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,5,1,8,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,3,5,8,6,2,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,8,5,6,3,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,8,5,1,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,1,8,6,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,3,2,8,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,6,7,1,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,3,2,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,8,7,1,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,2,8,7,6,1,5,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,2,8,7,6,4,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,2,1,8,6,5,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,3,6,1,8,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,7,8,5,4,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,7,8,6,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,1,7,8,6,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,7,8,6,1,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,7,6,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,7,6,8,1,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,7,6,8,3,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,1,7,6,8,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,7,5,8,3,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,6,5,1,8,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,6,4,3,1,8,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,1,7,4,3,8,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,6,7,5,3,8,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,7,5,1,4,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,7,5,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,6,5,4,3,2]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [2,7,6,1,5,4,3,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,7,6,5,1,4,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,7,6,5,3,1,2,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,3,1,5,7,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,1,5,2,7,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,5,1,3,2,7,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,3,1,7,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,3,1,5,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,1,7,2,4,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,1,2,4,5,3,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,6,1,2,4,7,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,1,2,6,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,5,1,6,4,2,7,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,5,1,3,6,4,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,1,5,3,4,7,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,1,5,2,4,7,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,1,2,5,7,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,1,2,7,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,1,2,5,4,3,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,1,4,2,3,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,4,2,7,3,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,5,8,2,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,8,1,2,4,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,8,1,3,4,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,1,7,3,4,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,7,2,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,2,7,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,2,3,8,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,7,6,3,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,2,8,7,5,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,2,4,8,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,8,4,6,7,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,7,6,4,8,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,1,2,4,6,8,5,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,1,2,6,8,5,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,2,7,8,5,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,2,7,4,8,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,4,7,8,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,1,3,8,4,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,1,8,4,2,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,1,5,3,2,8,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,4,5,2,8,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,7,3,1,5,8,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,7,3,1,5,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,1,7,4,5,2,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,5,3,2,6,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,7,1,2,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,2,8,4,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,2,8,6,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,7,2,6,4,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,3,8,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,2,3,8,5,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,1,7,2,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,1,3,4,7,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,8,6,4,7,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,2,6,7,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,2,8,7,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,3,5,8,4,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,5,8,6,4,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [7,1,2,8,3,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,2,8,6,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,7,8,4,6,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,1,8,7,6,4,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,2,7,4,6,5,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,2,7,3,6,5,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,3,5,8,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,6,8,5,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,5,6,3,1,4,2,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,3,1,4,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,5,3,1,4,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,5,3,1,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,5,3,1,6,4,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,5,8,3,4,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,6,3,4,1,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,6,3,1,2,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,3,6,1,2,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,3,1,4,2,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,3,1,6,4,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,6,4,1,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,6,4,8,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,8,4,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,1,8,4,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,1,8,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,1,6,4,2,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,1,8,4,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,1,8,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,8,6,1,4,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,5,3,8,6,4,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,5,8,3,6,1,4,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,5,8,3,1,6,4,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,5,3,6,1,4,2,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,8,4,1,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,6,3,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,6,3,4,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,5,6,8,3,1,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,4,1,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,6,3,1,8,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,6,3,1,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,6,3,8,1,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,6,3,8,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,6,1,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,1,2,8,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,3,1,2,8,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,1,4,8,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,4,8,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,3,4,1,6,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,3,1,4,6,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,2,5,4,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,5,2,8,4,7,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,4,7,3,2,8,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,8,3,2,7,6,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,4,5,3,2,1,8,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,2,6,4,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,5,8,3,2,7,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,6,3,8,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,6,3,7,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,5,3,2,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,4,3,2,7,6,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,3,2,8,4,7,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,5,8,4,7,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,2,7,4,8,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,4,3,2,8,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,7,5,3,2,8,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,7,8,3,6,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,6,8,3,7,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,3,8,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,3,2,6,8,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,6,7,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,2,6,7,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,3,7,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,7,6,4,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,4,5,3,2,7,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,3,6,5,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,4,6,3,7,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,6,3,8,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,7,2,6,8,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,2,6,7,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,2,5,4,7,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,2,8,6,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,2,8,7,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,7,3,8,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,8,3,7,5,2,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,8,3,6,5,2,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,5,3,2,8,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,4,3,2,8,6,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,3,2,5,4,8,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,5,4,8,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,2,8,6,5,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,8,4,3,6,5,2,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,5,7,4,3,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,8,4,3,7,5,2,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,3,2,8,7,5,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,3,2,7,8,5,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,4,3,8,5,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,3,1,4,5,6,7,8,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [2,3,4,1,5,6,7,8,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [2,3,4,5,1,6,7,8,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [2,3,4,5,6,1,7,8,9]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [2,3,1,4,5,6,7,8,9,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,4,3,1,5,6,7,8,9]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [2,3,4,1,5,6,7,8,9,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,3,4,5,1,6,7,8,9,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,3,4,5,6,1,7,8,9,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,3,4,5,6,7,1,8,9,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,3,4,5,6,8,7,1,9]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [2,3,4,5,6,7,8,1,9,10]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [2,3,4,5,6,7,9,8,1]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [4,6,8,3,5,7,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,8,1,2,4,5,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,8,2,4,7,1,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,3,5,2,4,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,5,7,3,6,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,2,8,3,1,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,5,8,3,7,1,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,1,6,8,4,7,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,2,5,8,3,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,6,8,4,7,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,6,5,8,2,4,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,2,6,8,5,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,3,8,2,6,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,4,8,3,2,1,6,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,3,7,2,6,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,6,2,7,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,3,2,1,8,5,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,1,7,3,2,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,1,7,8,2,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,5,1,2,7,8,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,1,4,8,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,7,3,8,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,7,6,3,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,7,1,4,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,5,1,2,7,6,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,3,1,7,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,4,3,5,2,7,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,3,1,5,2,8,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,3,6,5,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,7,6,4,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,6,3,4,2,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,3,6,2,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,8,7,4,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,8,7,5,3,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,6,4,3,8,5,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [1,7,6,2,8,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,3,2,6,8,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,3,2,7,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,2,1,8,5,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,3,2,7,4,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,2,6,3,7,4,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,5,3,1,6,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,7,3,8,5,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,2,3,7,8,5,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,7,2,8,4,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,1,8,2,4,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,2,7,8,3,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,7,8,6,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,1,7,3,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,8,4,3,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,2,1,8,4,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,3,2,5,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,8,2,4,5,6,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,7,6,1,2,4,5,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,3,7,6,2,1,4,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,8,7,5,1,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,6,5,2,1,4,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,5,2,4,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,6,2,5,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,4,1,6,5,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,8,1,7,5,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,4,1,7,6,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,1,5,6,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,7,3,6,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,3,7,5,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,1,6,7,5,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,2,6,4,3,7,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,1,7,5,4,3,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,1,8,6,4,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,2,6,4,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,2,7,5,4,3,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,8,6,5,4,3,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,2,7,5,4,3,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,2,4,3,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,2,8,3,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,8,6,5,2,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,3,8,6,5,4,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [1,8,7,6,5,2,4,3]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,1,7,3,2,6,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,4,3,2,8,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,5,3,2,1,7,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,3,2,1,7,4,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,5,4,1,7,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,5,1,7,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,1,7,4,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,6,3,2,7,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,3,7,2,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,8,3,1,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,5,8,3,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,4,1,8,2,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,4,3,1,8,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,7,2,5,4,6,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,5,3,7,2,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,1,8,7,5,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,4,8,6,3,5,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,6,3,5,2,1,8]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,3,5,6,8,4,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,4,8,7,1,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,1,4,6,8,7,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,3,8,7,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,2,4,8,7,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,6,7,5,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,6,4,8,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,6,8,5,1,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,3,7,2,6,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,5,2,8,1,4,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,5,7,2,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,6,3,8,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,7,3,5,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,4,7,5,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,4,1,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,3,8,2,1,6,4,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,5,2,1,8,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,6,4,3,1,5,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,6,4,1,5,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,7,2,1,4,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,2,7,1,5,4,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,8,2,1,5,4,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,4,8,1,6,5,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,8,1,5,7,3,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,5,7,6,1,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,1,7,3,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,1,7,5,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,6,2,8,7,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,2,4,6,7,3,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,5,4,7,1,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,5,8,6,4,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,5,6,4,3,1,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,2,5,7,8,4,3,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,4,8,6,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,7,8,3,6,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,8,6,3,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,7,6,3,5,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,7,4,6,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,6,4,2,3,5,8]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,6,2,4,7,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,2,4,5,7,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,1,4,6,5,8,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,1,2,3,8,5,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,5,4,3,8,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,5,4,6,2,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,8,7,2,3,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,7,8,2,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,7,2,5,8,1,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,8,1,2,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,3,1,5,6,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,7,1,5,4,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,1,5,7,6,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,6,1,5,3,7,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,5,1,3,8,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,5,2,1,3,8,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,5,2,8,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,8,4,1,5,2,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,2,3,4,1,6,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,8,3,6,1,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,5,7,2,1,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,5,2,7,1,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,5,2,1,7,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,5,4,2,8,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,6,4,7,2,5,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,4,8,2,5,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,5,8,2,4,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,8,2,4,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,2,4,3,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,6,2,4,7,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,6,2,4,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,8,2,4,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,7,2,4,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,5,7,2,4,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,7,2,4,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,6,7,2,4,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,8,2,4,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,7,2,4,6,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,7,8,3,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,8,3,2,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,6,2,4,8,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,6,2,8,3,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,3,4,2,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,2,4,3,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,6,2,4,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,8,7,3,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,2,3,5,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,3,4,8,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,5,2,3,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,4,2,8,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,6,5,2,8,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,6,7,5,2,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,5,2,8,4,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,5,6,2,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,7,6,2,4,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,8,3,2,4,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,5,2,3,7,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,5,2,3,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,8,4,2,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,4,6,2,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,3,5,2,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,8,5,2,3,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,4,2,3,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,4,2,3,7,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,8,6,2,4,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,7,3,2,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,3,4,2,8,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,4,2,8,5,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,7,4,2,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,4,2,3,8,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,6,4,2,8,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,5,2,8,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,6,4,2,3,8,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,5,6,1,4,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,4,1,6,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,6,4,3,5,8,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,4,1,3,7,2,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,1,3,8,2,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,8,1,2,6,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,8,6,4,2,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,1,3,6,2,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,4,3,7,2,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,3,7,8,6,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,6,8,3,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,4,3,7,2,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,3,4,7,6,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,3,8,5,6,1,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,3,7,5,6,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,4,8,5,2,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,8,3,6,2,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,5,8,6,3,2,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,8,7,3,2,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,5,3,8,7,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,7,3,6,2,5,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,7,5,3,2,1,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,7,6,8,3,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,4,6,5,8,2,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,2,7,5,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,4,6,5,7,2,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,1,5,2,4,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,2,8,5,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,6,8,1,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,5,6,1,3,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,3,2,7,6,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,6,8,2,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,1,6,2,4,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,1,4,2,6,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,1,4,2,5,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,2,1,4,3,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,6,5,8,7,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,1,5,6,7,8,9,2]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,4,5,1,6,7,8,9,2]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,4,5,6,7,1,8,9,2]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,4,5,6,7,8,1,9,2]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,1,2,5,6,7,8,9,4]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,4,1,5,6,7,8,9,10,2]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [3,4,5,6,1,7,8,9,10,2]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [3,4,5,6,7,1,2,9,8]=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>00100000 [3,4,5,6,7,8,1,2,9]=>[7,2]=>[[1,2,5,6,7,8,9],[3,4]]=>01000000 [3,4,5,6,7,8,9,1,10,2]=>[8,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>010000000 [1,6,2,3,8,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,4,3,2,8,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,4,7,6,2,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,6,5,3,7,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,5,3,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,7,5,2,6,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,7,4,2,6,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,4,3,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,4,3,7,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,7,3,2,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,3,2,5,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,3,2,4,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,5,3,2,8,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,3,2,4,8,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,5,4,3,1,8,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,8,5,4,3,2,1,7]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,1,5,4,3,8,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,8,5,4,3,7,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,7,6,5,4,3,10,9,2]=>[3,2,1,1,1,1,1]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>111110100 [7,6,1,4,3,8,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,5,4,7,2,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,5,1,3,8,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,3,4,7,2,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,8,4,3,2,1,6]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,4,7,5,2,6,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,6,8,2,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,6,5,2,1,7,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,7,5,6,1,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,5,1,8,4,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,8,7,4,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,6,7,4,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,5,2,4,1,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,3,6,4,1,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,4,5,3,2,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,7,1,4,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,1,2,4,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,7,6,8,2,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,6,8,1,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,8,5,7,1,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,7,2,4,8,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,8,6,5,2,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,1,8,2,5,4,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,3,7,4,1,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,4,7,5,1,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,4,7,6,2,3,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,4,7,1,2,5,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,8,7,3,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,4,2,5,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,3,8,2,5,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,1,5,8,2,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,5,8,7,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,5,8,7,4,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,5,6,7,4,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,3,2,8,5,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,2,7,1,8,5,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,1,7,2,8,5,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,8,7,3,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,8,3,1,5,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,7,2,8,5,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,1,4,8,5,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,2,3,4,8,5,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,8,5,2,7,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,7,4,5,8,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,8,3,6,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,1,6,4,7,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,2,6,4,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,3,5,8,7,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,2,1,5,8,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,2,7,6,1,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,6,8,4,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,8,7,5,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,8,6,5,2,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,1,6,4,7,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,1,2,3,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,4,8,5,3,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,5,8,4,2,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,5,8,4,1,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,4,7,1,5,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,7,5,6,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,4,8,7,3,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,8,4,3,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,8,1,3,5,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,3,4,1,5,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,2,7,3,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,1,8,7,2,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,1,7,2,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,3,7,1,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,8,7,1,3,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,4,6,7,3,1,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,8,2,7,6,1,5]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,8,4,2,1,3,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,2,4,3,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,3,7,1,5,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,2,7,3,5,6,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,4,1,3,2,8,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,8,6,2,1,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,5,2,8,3,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,7,5,1,8,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,8,5,2,7,4,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,2,5,4,3,8,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,8,1,4,5,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,1,2,4,5,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,6,2,4,5,3,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,8,6,1,2,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,1,6,2,3,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,6,5,8,2,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,8,6,2,5,1,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,6,1,4,5,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,6,8,4,5,1,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,5,4,3,8,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,8,7,4,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,4,3,7,6,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [8,7,4,3,1,6,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,4,3,8,6,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,5,3,4,8,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,6,1,7,4,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,6,5,7,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,7,6,8,2,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,1,8,7,4,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,4,3,1,6,7,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,5,8,6,3,4,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,8,6,3,4,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,3,8,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,8,4,3,1,7,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,6,5,2,8,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,8,1,3,6,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,5,2,3,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,3,2,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,8,3,1,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,3,2,5,6,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,3,1,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,8,3,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,8,2,3,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,2,7,8,6,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,1,8,2,4,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,8,1,2,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,8,1,2,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,7,1,8,6,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,8,4,1,2,6,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,8,2,3,6,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,3,6,7,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,3,1,6,8,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,3,7,1,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,7,3,2,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,1,4,3,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,1,8,6,3,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,3,6,2,7,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,5,1,7,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,6,5,8,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,5,8,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,8,7,3,6,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,2,8,6,1,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,2,5,6,1,4,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,5,4,1,2,7,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,6,1,8,3,7,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,1,6,2,8,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,5,3,8,7,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,6,3,7,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,1,5,8,2,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,8,5,1,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,5,2,4,8,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,4,8,2,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,2,5,1,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,8,5,2,6,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,2,1,8,5,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,4,8,2,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,2,1,5,8,6,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,8,4,5,1,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,8,3,7,6,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [3,1,5,8,6,2,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,4,8,5,1,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,4,8,1,6,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,1,2,8,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,8,4,1,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,8,4,6,1,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,4,8,7,1,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,4,8,1,2,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,1,6,2,3,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,1,6,8,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,4,1,8,2,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,4,7,1,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,4,7,8,1,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,3,7,1,4,2,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,3,1,8,4,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,1,4,8,3,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,6,4,7,3,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,1,4,8,3,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,3,7,1,4,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,3,1,5,8,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,1,5,3,8,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,5,4,3,7,6,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,5,4,3,7,2,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,1,5,3,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,1,5,3,2,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,4,3,2,6,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,6,4,2,5,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,3,1,2,7,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,3,8,1,4,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,8,1,4,3,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,1,7,2,5,4,3,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,7,2,5,4,6,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,6,1,2,5,4,8,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,5,3,8,1,4,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,3,1,2,7,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,4,2,6,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,4,2,5,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,1,5,3,2,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,1,5,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,1,5,7,2,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,1,5,3,6,2,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,4,3,6,2,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,5,4,3,6,7,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [7,4,1,5,3,6,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,3,1,5,7,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,3,8,4,5,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,5,6,1,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,5,6,3,8,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,6,5,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,4,7,1,8,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,1,8,4,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,4,5,1,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,3,6,1,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,1,5,3,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,3,6,2,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,3,6,4,8,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,1,5,3,8,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,5,8,1,4,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,6,7,2,3,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,2,8,1,4,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,2,7,5,6,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,1,8,4,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,8,2,6,1,4,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,6,7,1,4,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,8,1,4,3,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,2,5,4,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,2,7,3,6,1,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,1,8,2,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,1,8,6,7,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,2,5,1,8,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,2,8,1,6,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,3,6,1,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,3,7,5,1,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,2,8,3,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,2,3,8,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,2,1,7,6,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,2,1,4,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,7,3,1,4,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,7,3,1,4,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,7,2,1,4,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,2,1,3,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,3,1,7,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,1,3,2,7,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,8,6,4,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,5,1,6,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,7,5,1,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,6,5,1,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,6,3,5,1,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,7,3,1,5,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,3,1,4,2,6,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,7,3,1,2,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,3,1,2,4,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,2,1,4,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,2,1,7,4,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,2,1,5,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,2,1,6,3,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,5,4,1,2,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,8,5,6,7,4,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,5,8,6,2,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,7,8,6,3,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,5,7,6,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,6,3,2,1,5,8,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,2,1,5,3,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,1,3,7,6,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,7,2,3,6,1,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,4,2,8,1,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,6,8,5,7,3,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,2,7,3,8,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,6,7,5,3,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,1,5,8,7,6,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,4,7,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,4,7,8,5,3,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,1,3,7,6,2,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,5,1,6,3,2,7,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,7,1,5,2,8,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,8,4,7,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,4,6,1,3,2,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,8,6,7,3,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,4,3,8,2,1,5,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,7,5,8,1,6,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,3,2,7,8,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,2,5,1,6,7,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,8,5,7,1,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,1,4,6,8,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,2,5,6,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,4,3,8,7,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,7,3,5,1,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,8,4,2,5,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,7,1,6,3,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,7,2,8,4,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,8,6,5,2,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,7,6,1,4,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,8,2,1,7,3,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,3,5,1,6,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,6,3,5,8,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,5,8,4,3,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,7,1,5,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,1,6,5,8,4,7,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,6,8,5,4,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,1,8,5,6,2,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,4,8,7,3,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,8,4,3,5,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,2,7,6,1,3,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,8,2,7,5,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,1,2,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,4,3,2,7,1,6]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,4,8,6,3,2,5,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,4,7,2,1,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,8,4,3,7,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,8,2,4,5,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,4,2,3,6,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,2,4,3,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,3,1,6,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,2,1,3,4,7,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,8,2,6,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,3,5,4,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,8,4,5,7,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,8,3,4,5,7,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,3,8,2,6,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,7,2,3,6,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,3,5,4,8,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,8,2,4,5,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,8,4,6,7,5]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,2,3,5,4,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,8,2,3,6,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,7,8,2,3,5,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,8,2,5,3,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,8,2,4,5,3,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,8,3,6,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,2,3,6,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,8,3,5,4,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,7,8,3,6,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,7,8,3,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,8,4,6,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,3,4,6,7,5]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,7,8,2,4,3,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,3,1,5,2,8,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,8,3,1,5,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,4,5,1,2,8,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,5,4,1,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,7,5,1,2,8,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,8,1,5,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,8,4,1,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,6,8,5,7,1,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,5,8,6,7,1,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,8,6,1,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,8,1,6,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,4,7,6,1,8,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,6,5,7,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,5,7,8,1,2,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,4,6,1,8,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,4,6,1,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,3,1,6,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,7,3,1,6,8,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,3,1,7,8,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,3,1,7,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,4,8,1,6,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,4,6,8,1,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,6,7,5,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,1,7,8,6,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,8,1,7,6,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,8,7,1,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,8,7,5,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,8,6,5,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,7,6,5,1,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,4,7,3,6,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,6,3,7,5,1,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,7,3,6,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,6,3,1,5,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,3,1,6,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,3,7,6,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,5,3,7,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,7,6,3,5,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,5,3,6,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,3,7,5,4,1,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,5,2,3,8,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,7,5,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,1,8,6,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,3,1,8,6,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,8,3,1,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,2,6,4,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,8,2,1,4,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,2,8,3,4,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,3,8,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,8,3,6,4,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,6,3,4,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,8,7,5,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,3,8,6,4,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,7,4,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,6,3,8,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,6,4,8,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,7,6,4,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,6,3,1,8,5,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,3,8,5,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,8,4,2,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,8,4,3,5,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,3,1,8,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,2,8,3,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,8,2,4,1,6,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,4,8,3,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,2,1,8,3,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,7,4,2,3,5,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,2,8,7,3,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,3,6,4,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,8,6,3,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,3,8,6,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,8,4,7,6,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,7,3,4,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,3,8,4,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,3,8,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,1,8,3,7,5,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,2,1,7,4,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,4,2,7,3,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,8,6,3,4,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,7,3,8,4,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,8,7,4,6,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,8,7,6,4,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,8,5,7,2,6,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,8,6,1,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,8,1,5,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,8,1,3,5,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,7,6,2,4,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,6,7,1,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,8,5,7,1,6,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,4,8,6,2,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,6,7,3,4,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,6,7,2,1,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,6,7,2,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,1,7,5,2,8,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,3,8,5,1,6,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,8,6,7,1,5,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,6,7,1,4,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,2,3,8,5,1,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,4,8,6,1,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,7,6,1,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,8,5,2,6,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,4,7,2,5,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,2,6,7,5,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,7,5,2,8,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,8,6,7,4,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,6,7,4,1,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,6,7,3,1,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,6,7,3,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,6,7,5,3,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,6,7,4,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,6,7,4,3,1,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,7,6,1,4,2,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,8,3,6,7,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,1,4,7,8,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,8,4,7,5,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,3,5,7,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,8,1,6,5,4,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,7,3,8,4,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,6,5,8,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,1,6,8,2,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,3,2,7,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,6,2,5,3,4,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,7,2,6,8,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,3,6,4,5,2,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,7,4,1,6,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,6,4,5,2,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,1,2,7,5,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,7,8,5,1,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,4,8,2,7,6,1,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [5,8,2,6,3,4,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,7,5,8,6,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,7,8,4,3,6,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,4,3,5,7,8,2,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,2,7,4,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,5,6,4,3,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,6,5,4,3,2,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [6,1,5,2,8,4,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,1,8,5,7,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,1,2,8,5,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,7,2,8,5,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,3,5,8,6,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,3,5,8,6,1,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,8,1,5,7,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,6,5,8,1,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,1,5,7,2,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,2,5,8,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,2,5,8,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,7,6,8,2,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,8,1,2,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,1,5,8,6,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,4,7,1,8,5,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,5,8,3,1,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,2,1,8,5,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,6,8,2,1,3,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,2,7,6,8,3,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,7,6,8,2,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,2,1,6,8,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,4,1,8,5,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,4,3,1,8,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,4,1,6,8,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,7,6,8,1,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,2,6,8,5,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,2,5,8,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,7,6,8,2,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,6,8,1,2,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,3,7,6,8,2,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,4,2,6,8,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,1,2,6,8,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,2,8,5,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,8,2,5,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,8,4,6,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,8,1,6,4,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,6,8,5,4,2,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,2,6,8,5,4,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,2,6,8,5,4,3]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,6,8,3,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,8,3,1,2,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,5,8,6,3,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,5,8,6,3,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,7,1,8,5,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,6,8,5,4,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,2,3,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,6,8,3,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,1,6,8,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,3,1,8,5,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,1,8,5,4,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,2,1,6,8,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,8,3,2,1,5,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,7,8,5,6,1,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,5,8,7,1,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,4,8,1,2,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,5,6,7,2,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,5,1,8,2,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,4,6,7,1,2,8,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,6,7,2,1,5,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,6,7,1,4,2,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,1,4,6,7,3,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,3,6,7,4,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,1,6,8,4,5,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,6,7,1,4,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,6,7,3,1,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,4,1,5,8,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,2,1,5,4,8,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,4,5,3,7,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,1,5,4,8,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,4,1,5,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,4,2,1,8,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,5,2,7,1,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,3,8,1,4,2,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,1,7,2,4,5,6,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [7,6,1,2,4,5,8,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,7,8,2,3,1,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,6,2,8,1,4,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,5,2,1,3,7,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,1,3,2,6,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,6,3,2,5,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,1,3,5,2,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,2,3,1,6,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,1,4,5,6,2,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,4,3,5,6,2,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [6,2,3,1,5,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,8,4,2,1,6,5,3]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [7,8,4,2,1,5,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,3,4,6,2,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,3,8,7,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,3,7,8,5,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,6,3,8,1,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,3,8,7,5,1,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,2,4,1,7,3,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,6,8,3,2,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,1,4,2,3,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,6,8,4,3,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,5,8,3,2,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,2,3,4,5,8,1,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,4,3,6,2,8,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,4,3,7,2,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,4,3,8,2,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,2,4,1,7,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,7,2,4,1,8,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,1,4,2,7,8,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,7,4,1,6,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,6,3,4,2,7,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,6,5,3,2,1,7]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [4,8,5,6,3,2,1,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,4,7,8,3,2,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,8,7,3,2,1,6]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,7,6,8,3,2,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,1,8,4,2,3,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,7,4,2,3,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,1,3,4,2,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,8,7,6,3,2,1,5]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,8,2,6,3,7,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,8,1,6,2,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,8,7,2,5,1,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,3,7,1,6,2]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [6,8,1,2,4,3,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,7,1,3,4,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,3,8,2,7,5,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,4,3,8,2,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,2,8,1,6,5,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,3,8,2,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,8,1,5,4,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,8,1,5,4,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,8,1,6,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,2,1,8,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,7,8,4,1,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,7,8,5,3,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,1,8,2,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,8,4,7,3,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,2,8,3,5,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,2,4,8,1,6,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,8,3,6,1,5,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,4,1,8,5,2,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,3,2,4,8,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,2,4,8,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,4,8,2,6,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,4,8,5,1,2,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,2,8,3,5,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,3,4,8,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,4,8,6,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,8,3,6,2,1,5,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,8,2,6,1,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,5,8,2,4,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,8,7,2,4,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,4,5,7,3,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,5,7,3,8,1,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,4,5,8,3,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,1,2,5,6,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,3,5,2,6,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,1,6,3,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,5,1,8,4,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,1,5,8,4,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,4,5,8,3,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,4,8,1,3,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,5,4,3,8,2,1,7]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,4,3,7,2,8,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,4,3,7,2,6,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,6,8,3,7,2,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,4,6,3,2,8,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,4,3,6,2,7,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,5,4,3,7,2,8,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,8,5,3,1,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,3,4,1,2,8,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,5,4,7,6,2,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,5,7,4,3,6,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,3,8,1,6,7,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,8,3,6,1,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,8,6,7,4,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,3,8,6,4,7,5,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,2,7,4,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,2,1,4,3,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,1,3,4,2,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,7,3,2,6,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,7,3,2,5,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,6,8,5,7,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,2,3,6,7,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,5,2,3,1,6,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,4,7,2,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,7,5,2,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,7,4,1,8,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,6,1,7,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,7,6,3,8,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,8,7,2,3,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,6,8,7,4,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,2,7,4,1,6,8,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,2,1,7,8,4,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,1,8,4,2,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,1,3,7,5,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,1,3,7,4,2,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,3,7,6,2,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,5,2,7,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,2,8,7,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,3,2,8,1,6,5,4]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>0101010 [3,8,7,2,6,5,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [4,2,7,8,6,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,2,4,7,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,1,8,7,3,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,1,6,3,7,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,8,3,1,7,5,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,1,6,7,2,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,2,8,1,5,7,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,8,2,6,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,2,5,6,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,7,5,2,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,2,6,8,1,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,2,7,8,5,6,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,4,8,1,6,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,1,8,2,6,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,3,8,6,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,1,7,6,5,4,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,1,4,7,6,5,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,6,7,5,1,4,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [7,8,6,5,4,1,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,4,3,2,1,6,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,7,3,2,1,8,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,3,6,2,1,4,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,7,6,2,1,4,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,4,2,6,1,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,7,2,5,1,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,3,2,5,1,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,2,5,1,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,2,7,5,1,3,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,8,5,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,7,6,8,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,2,7,6,5,1,3,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,8,7,6,5,1,3,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,5,4,3,1,7,8,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,7,3,1,5,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,7,3,1,8,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,3,6,1,8,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,7,6,1,4,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,7,6,1,5,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,7,6,1,4,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,7,2,1,5,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,3,2,1,4,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,7,2,1,4,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,2,6,1,4,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,2,7,1,5,3,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,7,6,1,4,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,4,1,6,7,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,7,1,5,8,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,7,1,5,6,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,3,1,5,6,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,2,1,6,4,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,2,1,5,4,6,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,7,1,5,4,3,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,7,1,6,4,3,8]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,2,7,1,5,4,6,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,7,1,5,4,3,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,1,7,5,8,3,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,1,6,7,8,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,1,7,5,4,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,1,6,7,4,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,1,6,5,7,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,1,6,5,4,3,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,7,8,5,4,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,1,7,6,5,8,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,8,1,2,6,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,5,7,2,6,3,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,3,5,6,2,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,1,3,5,7,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,8,1,7,2,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,5,6,8,1,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,8,2,6,7,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,2,3,5,6,7,1,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,3,5,4,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,1,2,3,5,4,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,7,8,1,3,5,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,8,3,5,6,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,5,7,8,1,6,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,8,1,7,6,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,5,8,7,2,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,7,3,5,6,2,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,7,2,1,3,5,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,8,7,2,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,4,1,7,5,3,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,6,4,3,1,8,5,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,3,6,7,8,1,5,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,6,8,1,2,5,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,6,7,2,5,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,4,1,8,5,2,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,4,2,8,3,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,8,2,5,3,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,1,7,5,4,2,3,6]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,2,6,5,4,3,8]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,7,6,3,2,5,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,3,1,2,5,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,7,6,3,2,4,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,2,5,7,6,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,8,1,7,5,4,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,6,7,5,4,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,7,8,6,3,1,5,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,8,1,6,5,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,3,1,8,6,5,4,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,2,1,6,5,4,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,7,6,3,2,1,5,4]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,1,8,6,3,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,6,1,5,2,7,4,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,5,1,7,4,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,7,5,4,3,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,7,8,3,6,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,1,4,8,5,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,5,3,1,6,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,1,5,2,3,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,7,5,2,6,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,7,4,6,8,1,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,3,7,6,2,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [4,2,6,3,8,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,2,1,7,6,4,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,3,2,4,1,7,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,8,1,4,6,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,4,5,3,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,6,1,4,7,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,5,6,1,7,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,3,6,5,1,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [2,7,4,3,6,1,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,7,2,8,1,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,3,5,8,1,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,4,7,1,6,5,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,4,5,7,6,1,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,4,5,6,8,1,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,6,8,1,4,2,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,5,7,8,4,6,2,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,3,5,7,8,6,2,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,7,8,6,1,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,6,8,2,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,5,6,8,2,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,5,6,8,1,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,6,4,8,2,1,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,6,3,8,4,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,1,6,8,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,2,6,8,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,1,8,6,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,2,7,8,6,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,7,5,2,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,1,7,5,2,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,7,5,1,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,2,8,6,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,5,7,8,6,2,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,7,8,6,3,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,3,7,8,6,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,7,8,4,6,1,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,5,7,8,6,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,7,5,1,8,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,2,6,7,5,8,3,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,2,7,5,4,1,8,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,5,2,4,1,8,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,2,5,3,8,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,4,5,2,1,8,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,7,8,6,4,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,5,7,8,6,3,1,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,7,8,6,3,2,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,7,5,1,8,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,6,7,5,3,8,2,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,7,5,4,2,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,7,5,1,4,2,8,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,8,6,4,1,2,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,1,7,2,6,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,7,1,5,6,8,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,4,1,5,2,8,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,6,7,4,5,2,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,3,7,5,8,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,1,7,5,8,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,5,3,7,8,6,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,5,4,2,1,8,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,2,7,5,8,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,4,2,5,1,8,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,4,5,1,8,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,2,3,7,5,8,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,7,6,1,3,8,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,5,1,8,2,6,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [7,3,5,1,8,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,5,1,8,6,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,6,7,4,1,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,5,1,8,4,7,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,5,1,8,4,2,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,6,1,5,8,7,3,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,1,6,2,8,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,3,4,7,8,1,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,5,4,3,2,7,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,9,6,5,4,3,2,1,7]=>[2,2,1,1,1,1,1]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>11111010 [6,8,5,4,3,7,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [5,8,4,3,2,1,7,6]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,5,4,3,1,8,7,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [8,7,5,4,3,1,6,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,3,4,6,2,1,5,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,6,2,1,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,2,6,8,4,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,3,2,8,4,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,3,2,8,4,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,4,5,7,3,8,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,5,6,8,3,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,8,1,5,6,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,6,1,8,4,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,6,8,1,4,2,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,5,6,8,1,3,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,5,6,8,3,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,6,3,8,2,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,3,7,2,8,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,4,7,3,2,8,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,1,4,7,3,2,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,8,4,5,3,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,7,3,8,4,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,1,7,4,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,7,4,1,8,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,7,1,4,8,6,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,3,1,7,8,5,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,1,7,3,8,5,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,3,7,8,4,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,6,3,7,8,4,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,1,3,7,8,4,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,1,7,8,3,4,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,3,7,4,8,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,2,4,1,8,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,7,2,1,4,3,8,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,7,3,1,2,8,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,6,3,1,2,7,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,1,3,2,7,8,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,3,2,1,7,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,5,6,3,7,8,4,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,6,3,1,7,8,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,6,4,7,3,1,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,7,2,8,4,5,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,7,2,8,4,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,2,7,1,8,4,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,5,3,2,1,8,4,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,3,8,4,2,1,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,2,1,3,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,3,7,8,6,4,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,8,4,6,2,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,3,8,2,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,7,8,5,2,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,2,7,8,5,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,2,1,7,8,5,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,4,5,8,1,2,6,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,5,1,7,3,8,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,2,1,3,8,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,1,6,7,8,2,4,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,3,7,1,8,5,2,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,1,7,3,8,5,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,7,1,8,5,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,1,7,8,5,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,3,6,8,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,2,3,6,8,1,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,3,2,1,8,4,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,5,8,2,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,5,2,1,3,8,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,6,4,5,8,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,4,6,5,8,1,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,2,4,5,8,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,2,1,6,8,4,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,2,4,5,8,1,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,4,6,5,8,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,3,4,5,8,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,1,8,5,2,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,1,7,6,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,1,4,2,7,3,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,5,3,2,8,7,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,2,1,7,5,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,6,4,5,8,3,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,8,7,4,1,2,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,7,4,6,2,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,4,2,5,8,6,7,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,3,5,6,8,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,4,8,6,7,1,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,6,2,8,1,7,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,4,8,2,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,3,5,8,6,7,1,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,6,8,7,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,8,5,6,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,8,3,5,6,7,4]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [4,2,3,7,1,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,6,4,8,1,7,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [8,2,1,6,7,3,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,8,5,4,1,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,7,5,3,8,4,2,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,5,3,1,2,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,2,4,8,5,3,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,1,2,7,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,2,7,4,1,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,2,3,7,1,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,4,7,1,3,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,4,6,7,1,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,2,3,6,7,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,5,2,7,6,1,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,3,2,5,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,3,2,1,6,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,7,3,4,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,2,7,4,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,1,4,2,8,7,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,6,5,8,2,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,7,1,6,2,8,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,2,6,8,7,1,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,2,1,8,5,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,5,4,1,8,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,2,5,6,8,7,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,4,2,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,4,1,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,8,5,6,7,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,4,7,1,8,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,4,7,1,8,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,6,4,1,3,2,5,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,1,3,6,5,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,3,6,5,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,5,2,1,8,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,3,2,4,6,5,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,2,1,6,5,3,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,1,2,6,5,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,4,2,1,5,3,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,6,4,1,5,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,6,3,4,5,1,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,3,4,8,5,7,2,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,8,4,7,6,2,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [1,3,4,7,5,8,2,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,5,2,4,8,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,5,1,3,8,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,1,6,5,8,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,4,8,7,6,3,1,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [2,8,5,1,4,7,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,1,5,8,6,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,5,8,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,3,8,4,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,2,1,6,8,7,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,4,3,2,7,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [3,4,7,8,2,1,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,3,2,8,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,1,2,8,6,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,2,3,1,6,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,2,1,8,6,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,1,3,6,8,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,4,7,3,8,1,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,8,2,7,4,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,1,3,6,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,7,8,4,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,4,5,8,3,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,4,3,7,2,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,4,8,7,2,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,4,7,8,3,6,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,8,7,2,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,3,8,7,4,1,2,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,5,7,2,4,8,1,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,7,2,3,1,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,7,1,3,2,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,7,2,1,3,5,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,4,2,1,3,7,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,1,3,2,7,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,6,4,2,3,1,7,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,7,2,6,1,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,1,3,8,5,7,2,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,3,2,6,7,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,8,5,3,6,2,7,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,8,1,5,4,7,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,5,8,7,4,6,2,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,1,7,6,4,5,8,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,2,4,6,5,8,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,5,1,7,6,8,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,2,6,1,3,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,3,5,8,7,2,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,7,8,4,1,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,8,1,5,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,5,2,6,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,5,1,6,8,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,2,8,5,1,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,8,5,2,6,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,1,8,5,4,6,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,6,2,1,3,7,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,4,1,5,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,6,3,5,8,1,7,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,7,8,3,5,4,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,5,1,8,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,1,4,5,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,5,7,8,2,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,4,6,2,8,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,6,8,1,5,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,7,2,1,8,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,4,8,2,1,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,2,7,8,4,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,6,2,8,4,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,6,8,4,1,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,7,2,4,8,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,7,2,8,4,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,7,8,4,1,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,2,1,8,5,4,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,6,7,2,8,5,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,8,2,4,5,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,7,2,1,4,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,7,2,8,4,5,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,8,2,1,4,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,5,6,7,8,3,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,6,3,7,8,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,3,8,5,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,6,7,3,8,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,1,7,3,2,8,6,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,1,8,3,2,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,5,2,6,8,1,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,5,7,3,8,1,6,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,5,8,3,2,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,2,7,8,5,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,6,7,3,2,8,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,7,2,8,3,5,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,8,3,2,5,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,2,3,1,5,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,2,6,8,4,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,3,8,4,1,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,7,8,4,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,8,3,4,2,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,7,2,3,4,8,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,8,3,4,2,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,8,2,3,4,1,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,2,3,7,8,5,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,2,3,8,5,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,2,7,8,5,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,7,3,8,5,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,7,8,4,5,3,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,1,8,3,4,5,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,7,2,3,8,5,4,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,2,8,4,5,3,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,1,2,3,4,8,6,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,2,8,4,5,6,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,1,8,3,4,5,6,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,4,1,8,2,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,8,1,2,4,3,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,3,5,7,2,6,4,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,5,8,6,1,2,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,1,6,8,2,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,2,8,1,5,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,6,1,3,8,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,7,5,2,3,4,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,7,5,1,3,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,5,7,4,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,1,3,7,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,5,1,3,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,7,5,3,1,6,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,6,5,4,7,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,5,2,4,8,1,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,8,2,5,3,1,6,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,1,8,6,3,2,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,1,5,3,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,7,5,3,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,1,2,4,8,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,1,6,4,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,4,1,2,5,6,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,3,6,5,2,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,3,7,2,6,4,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,2,6,5,1,8,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,8,4,2,5,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,7,4,5,6,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,3,6,5,1,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,9,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>11111110 [1,8,7,6,5,3,2,4]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [2,8,7,6,3,4,5,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [1,8,7,6,5,2,3,4]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [2,10,9,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1,1,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>111111110 [7,2,8,6,5,4,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,2,8,5,4,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,2,8,5,1,7,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,2,5,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,5,4,3,1,7,2]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,6,4,1,3,7,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,6,1,5,3,7,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,1,8,5,2,7,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,4,1,2,8,6,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,3,5,4,1,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,2,5,8,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,7,5,6,3,4,2,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,6,8,5,3,1,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,8,5,2,1,4]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [7,2,6,4,8,3,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,5,7,4,2,6,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,2,3,1,7,8,5,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,8,4,1,7,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,6,3,4,7,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,3,4,5,1,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,3,2,5,8,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,2,1,5,4,7,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,3,7,1,5,8,4,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,1,8,4,3,7,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,5,4,8,1,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,3,1,6,5,8,2,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,3,5,4,6,8,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,1,3,4,5,8,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,3,4,1,5,2,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,5,4,2,6,8,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,2,6,4,1,7,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,8,4,5,2,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,5,1,8,4,3,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,7,3,2,5,4,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,2,1,5,3,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,1,5,8,7,4,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,3,6,4,5,1,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,8,1,2,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,7,2,3,5,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,4,1,3,5,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,4,7,8,6,2,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,1,3,5,7,8,6,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,5,1,8,4,7,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,3,1,8,4,7,6,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,7,4,6,1,3,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,7,3,2,8,1,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,3,1,4,7,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,7,3,6,1,5,2,4]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,4,3,6,8,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,4,7,3,8,5,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,6,1,5,7,3,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,8,2,5,4,3,1,6]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,8,3,4,2,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,5,3,7,4,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,7,3,2,4,1,8,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,8,3,4,7,1,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,3,6,7,8,2,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,6,3,2,5,8,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,8,1,5,6,2,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,2,5,6,1,7,4,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,5,2,8,6,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,5,4,8,7,2,1,3]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [1,8,6,4,5,2,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,8,5,3,6,2,7,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,6,2,1,7,5,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,4,1,8,7,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,2,6,5,8,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,1,4,2,7,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,4,7,1,8,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,4,7,8,2,5,6,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,2,4,5,6,7,3]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [5,2,4,1,6,8,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,2,5,7,6,1,8,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,5,6,1,8,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,4,1,7,6,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,4,6,5,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,7,3,5,6,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,2,7,5,8,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,7,5,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,2,8,5,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,2,4,8,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,6,4,8,7,3,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,7,8,5,6,3,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,3,8,2,6,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,7,8,2,5,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,7,8,2,3,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,2,7,8,4,6,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,6,2,4,8,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,7,3,4,8,5,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,3,7,4,8,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,8,4,1,5,3,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,8,4,2,7,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,7,4,8,3,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,6,4,8,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,5,2,4,8,3,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,3,5,2,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,8,6,2,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,6,8,5,3,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,6,7,8,5,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,7,8,6,2,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,7,6,8,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,7,8,6,5,3,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,6,7,3,4,8,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,4,7,6,3,8,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,6,2,1,7,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,2,1,4,8,7,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,6,1,4,5,8,7,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,2,7,6,3,8,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,3,7,6,4,5,8,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,6,1,7,5,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,7,4,8,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,2,7,8,4,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,1,7,4,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,4,1,7,8,2,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,6,1,3,8,7,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,6,4,1,5,8,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,1,5,4,8,7,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,6,1,4,7,8,5,3]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,1,2,4,8,6,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,2,4,8,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,2,4,8,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,3,8,5,4,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,3,1,2,8,5,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,5,3,8,6,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,3,8,5,6,4,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,8,6,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,8,6,5,4,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,8,5,4,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,6,1,5,4,8,3,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,1,2,4,8,6,3,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,1,2,4,8,3,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,6,3,1,4,8,2,7]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,5,4,3,1,8,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,6,3,1,8,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,4,5,1,8,7,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,6,5,4,1,8,7,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,6,1,7,8,4,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,6,2,8,7,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,3,7,8,6,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,1,3,7,8,5,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,4,1,7,8,6,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,3,1,2,8,6,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,1,4,2,8,6,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,3,6,8,5,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,3,8,6,7,4,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,3,8,7,5,4,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,2,3,8,7,4,5,6]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,3,8,5,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,1,3,6,8,7,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,4,1,2,8,7,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,6,2,8,7,5,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [1,2,3,4,5,9,6,7,8]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,4,9,5,6,7,8]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,9,4,5,6,7,8]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,9,3,4,5,6,7,8]=>[8,1]=>[[1,3,4,5,6,7,8,9],[2]]=>10000000 [1,2,3,4,5,6,7,10,8,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,2,3,4,5,9,7,6,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,4,5,6,10,7,8,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,2,3,4,9,6,5,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,4,5,10,6,7,8,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,2,3,9,5,4,6,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,4,10,5,6,7,8,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,8,3,4,2,5,6,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,2,9,4,3,5,6,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,3,10,4,5,6,7,8,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [1,8,4,3,2,5,6,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,9,3,2,4,5,6,7,8]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [1,2,10,3,4,5,6,7,8,9]=>[9,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>100000000 [8,4,7,6,5,3,2,1]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1111110 [8,5,7,4,6,3,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,7,3,6,4,2,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,1,7,4,6,5,3,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,2,7,3,6,5,4,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,5,7,2,6,4,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,4,7,1,6,5,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,3,7,1,6,5,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,2,7,1,6,5,4,3]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,1,7,6,5,3,4,2]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [8,3,7,6,5,2,4,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,4,7,6,5,2,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,5,7,6,4,2,3,1]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,6,7,5,4,1,3,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [8,3,7,6,5,1,4,2]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1111010 [6,8,1,4,2,5,3,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,8,2,5,3,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,2,5,4,7,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,5,3,7,6,8,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,6,1,4,3,7,5,8]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,6,3,7,4,8,1,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,2,6,3,7,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [4,8,1,5,2,6,3,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,8,3,7,1,5,2,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,5,7,1,3,2,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,1,3,2,6,5,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,7,5,8,1,4,2,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [3,7,6,8,2,5,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,5,8,2,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,7,5,8,2,6,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,6,5,8,4,7,1,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,5,8,3,7,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,6,3,7,1,5,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,6,4,2,8,5,3,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,8,4,3,7,2,1,5]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [6,7,4,3,5,1,8,2]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,7,3,5,4,8,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,5,8,2,4,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,4,2,5,1,8,3]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,6,3,8,2,4,1,5]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,8,4,7,2,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,8,4,1,7,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,2,7,4,1,5,3,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,3,4,7,5,8,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,3,5,7,8,4,2,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,6,8,3,7,2,1,4]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,6,8,3,5,7,2,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,8,2,4,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,3,6,2,5,7,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,8,3,5,6,2,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,3,5,8,2,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,5,8,7,2,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,8,3,7,2,6,4,1]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>1101010 [5,8,4,2,3,1,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,8,4,2,3,1,7,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,4,5,3,8,2,1,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,8,5,3,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,3,8,5,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,2,8,5,3,1,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,6,3,4,8,2,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,2,5,1,7,3,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,7,2,4,1,6,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,8,3,6,7,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,8,3,7,2,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,3,6,8,2,1,4,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,3,6,7,1,8,2,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,6,3,5,7,8,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,7,3,6,8,2,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,7,4,8,6,3,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,5,6,7,2,8,4,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,2,5,4,7,6,9,8,1]=>[4,4,1]=>[[1,3,4,5],[2,7,8,9],[6]]=>10001000 [3,4,5,6,7,8,9,2,1]=>[7,1,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>11000000 [5,4,3,2,1,10,9,8,7,6]=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>010101010 [3,4,5,6,7,8,9,10,2,1]=>[8,1,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>110000000 [1,6,2,5,3,4,8,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,8,2,4,6,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,2,3,6,4,8,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,8,2,5,3,7,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,2,5,3,4,7,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,8,2,3,6,4,7,5]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,3,5,2,8,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,7,3,5,4,6,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,2,7,3,4,6,5]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,5,8,2,3,7,4,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,6,8,2,3,5,4,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,3,6,1,2,4,8,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,5,8,4,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,7,4,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,5,8,2,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,1,6,2,8,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,4,1,7,2,6,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,4,7,5,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,4,7,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,7,5,8,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,5,4,8,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,4,8,5,2,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,1,7,2,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,8,3,1,2,4,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,7,1,6,4,2,3,5]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [8,6,1,7,4,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,6,1,8,4,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,8,1,2,4,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,7,1,2,4,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,3,6,1,2,4,7,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [8,3,7,5,1,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,6,1,2,4,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,1,8,4,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,8,1,7,4,2,3,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,8,5,4,2,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,8,4,5,2,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,7,8,5,3,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,3,1,2,4,8,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,2,3,8,7,5,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,1,4,2,3,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,8,3,1,2,7,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,7,3,1,2,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,7,1,4,2,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,3,6,8,5,7,1,2]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [1,3,6,8,7,4,2,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,1,5,8,3,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,1,6,8,4,3,2]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [8,3,6,4,7,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,7,8,4,6,2,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,3,1,5,8,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,4,6,8,1,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,7,5,8,6,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,6,7,5,4,3,1]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>1111100 [3,4,2,7,8,1,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,7,3,8,5,2,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,4,5,8,2,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,7,4,5,3,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,1,7,3,5,4,8,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,7,2,8,5,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,6,8,7,2,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [6,8,5,7,1,2,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,2,4,3,7,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,8,2,1,5,7,3,4]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [2,7,8,1,4,6,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,8,2,5,7,1,6,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,1,6,8,5,3,7,2]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [5,2,6,4,8,3,1,7]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,7,1,3,4,5,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,3,2,4,8,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,4,2,8,7,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,3,8,7,5,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,7,4,2,3,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,6,4,5,2,8,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,6,1,3,5,4,2,7]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,3,8,6,1,2,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,5,6,3,4,8,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,5,3,6,8,7,4,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,8,7,3,5,2,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [3,8,7,2,6,4,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,3,5,4,8,7,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,3,8,6,1,5,2,7]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [4,7,6,2,5,3,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,2,6,8,1,4,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,2,7,1,4,3,6]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,8,5,3,6,2,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,7,2,4,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,3,4,8,6,2,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,4,1,3,8,6,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,8,6,3,4,2,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,5,2,8,3,7,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,2,3,7,6,4,5,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [5,8,2,4,7,6,3,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,8,2,5,3,4,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,5,6,4,8,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,7,4,8,2,3,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,1,3,5,8,2,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,2,1,3,5,6,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,1,4,7,5,8,2]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,1,3,8,2,6,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,3,6,7,5,4,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,1,7,2,8,5,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,6,1,4,7,2,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,5,8,4,7,2,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,1,3,6,2,8,4,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,7,4,5,8,1,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,1,8,4,5,7,3,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,8,5,7,3,2,4,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,1,8,5,4,3,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,7,4,1,5,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,4,8,6,2,3,1,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [2,7,1,4,6,3,8,5]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [4,7,5,6,8,1,3,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,1,3,2,8,5,4,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [2,8,5,4,1,3,6,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,1,7,4,2,3,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,8,6,5,1,4,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,3,4,8,6,5,2,7]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [4,1,8,6,5,3,2,7]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [4,8,5,2,7,3,6,1]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,2,8,5,3,6,4,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,2,8,4,3,7,6,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,4,7,5,2,3,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,5,2,8,4,6,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,4,3,6,2,8,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,7,5,1,2,8,3,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,2,6,8,3,4,7,1]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [7,6,2,4,5,8,3,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,6,8,4,7,2,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,6,3,8,4,2,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [2,6,3,8,4,7,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,3,6,5,8,4,1]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [6,2,7,5,8,3,1,4]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [2,8,3,6,4,5,7,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,1,5,6,8,3,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,8,1,2,6,4,7,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,6,8,3,2,7,4,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,7,2,8,4,1,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [7,5,1,2,8,4,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,4,8,3,6,2,7,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [5,8,2,7,4,3,6,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [6,4,5,8,2,7,3,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [5,7,3,6,4,8,2,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [1,5,6,4,8,2,7,3]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [3,1,5,6,4,8,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [3,5,1,6,4,7,8,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,4,3,8,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,3,5,8,7,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,3,5,1,8,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [2,3,6,1,8,5,4,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,7,3,6,8,5,4]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [2,3,6,1,8,5,7,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,5,8,4,7,3,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,6,8,5,4,3,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,5,8,2,4,7,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,4,6,8,3,2,5,7]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,7,5,6,8,2,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,2,6,7,3,8,5,4]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,1,5,7,6,8,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,4,6,8,2,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,3,6,5,8,7,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,2,7,5,6,8,4,3]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,1,6,7,5,8,4,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,2,7,5,8,3,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,5,7,4,8,2,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,4,7,6,8,3,5,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,4,6,8,3,5,7,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,3,5,8,2,7,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,5,8,4,7,6,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,2,5,8,7,4,3,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,3,5,8,7,2,4,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [5,7,1,2,8,6,4,3]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [6,4,5,7,2,8,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,4,7,2,8,1,6]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [3,2,7,4,6,8,1,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,6,2,7,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,6,3,4,7,1,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,3,4,5,8,1,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,7,4,5,6,8,1,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,7,3,6,8,1,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,7,6,2,3,8,1,5]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,3,5,2,4,8,1,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [7,6,2,4,5,8,1,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,5,2,3,4,8,1,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,1,2,8,4,7,6]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,5,2,3,7,1,4,8]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,2,1,7,3,4,6,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [5,2,1,8,3,4,6,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,3,2,8,4,5,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,3,1,2,8,4,6,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [6,4,1,3,8,5,7,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [6,2,3,1,8,4,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [8,3,5,2,7,1,4,6]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>1100100 [8,6,2,4,7,1,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [8,5,2,3,6,1,4,7]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,2,1,7,3,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [8,6,3,7,2,4,5,1]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1110100 [7,1,6,2,3,4,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,2,7,3,4,5,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,1,6,2,3,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [8,1,7,3,4,5,6,2]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [8,6,1,7,2,4,5,3]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,1,5,7,2,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [1,7,5,8,2,3,6,4]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [7,2,1,8,3,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [7,3,8,2,4,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,2,8,3,4,5,6,1]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,8,3,4,5,6,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,4,5,8,3,6,7,2]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,5,7,1,8,3,6,4]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [6,2,7,1,8,4,5,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [4,7,1,3,8,5,6,2]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,6,2,8,4,5,7,3]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [4,1,3,6,8,2,7,5]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [5,3,4,6,8,2,7,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [4,6,3,8,7,1,2,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,4,5,8,7,1,2,3]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [5,3,4,8,7,1,2,6]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [3,2,8,7,1,4,6,5]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,1,8,7,2,4,6,5]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [5,3,7,6,1,2,4,8]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [1,8,3,7,2,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [3,8,1,7,2,4,5,6]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [6,8,2,3,5,1,4,7]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>0101000 [4,7,8,2,6,1,3,5]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>0100100 [6,2,8,7,1,4,5,3]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [3,8,7,1,4,5,6,2]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [2,8,6,1,3,4,5,7]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [2,7,6,1,3,4,5,8]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1010000 [1,7,6,2,3,4,5,8]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [1,8,6,2,3,4,5,7]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>1100000 [2,8,7,3,4,5,6,1]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [3,8,7,2,4,5,6,1]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [7,8,3,6,2,4,5,1]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1010100 [1,5,8,7,2,3,6,4]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1101000 [8,7,6,1,3,4,5,2]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>1111000 [3,4,7,2,5,1,8,6]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1001000 [1,2,8,3,7,5,4,6]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>1110000 [1,6,3,8,7,4,2,5]=