=>

[1]=>[[1]]=>[1]=> [1,2]=>[[1,2]]=>[1,2]=>0 [2,1]=>[[1],[2]]=>[2,1]=>1 [1,2,3]=>[[1,2,3]]=>[1,2,3]=>00 [1,3,2]=>[[1,2],[3]]=>[3,1,2]=>10 [2,1,3]=>[[1,3],[2]]=>[2,1,3]=>10 [2,3,1]=>[[1,2],[3]]=>[3,1,2]=>10 [3,1,2]=>[[1,3],[2]]=>[2,1,3]=>10 [3,2,1]=>[[1],[2],[3]]=>[3,2,1]=>11 [1,2,3,4]=>[[1,2,3,4]]=>[1,2,3,4]=>000 [1,2,4,3]=>[[1,2,3],[4]]=>[4,1,2,3]=>100 [1,3,2,4]=>[[1,2,4],[3]]=>[3,1,2,4]=>100 [1,3,4,2]=>[[1,2,3],[4]]=>[4,1,2,3]=>100 [1,4,2,3]=>[[1,2,4],[3]]=>[3,1,2,4]=>100 [1,4,3,2]=>[[1,2],[3],[4]]=>[4,3,1,2]=>110 [2,1,3,4]=>[[1,3,4],[2]]=>[2,1,3,4]=>100 [2,1,4,3]=>[[1,3],[2,4]]=>[2,4,1,3]=>010 [2,3,1,4]=>[[1,2,4],[3]]=>[3,1,2,4]=>100 [2,3,4,1]=>[[1,2,3],[4]]=>[4,1,2,3]=>100 [2,4,1,3]=>[[1,2],[3,4]]=>[3,4,1,2]=>010 [2,4,3,1]=>[[1,2],[3],[4]]=>[4,3,1,2]=>110 [3,1,2,4]=>[[1,3,4],[2]]=>[2,1,3,4]=>100 [3,1,4,2]=>[[1,3],[2,4]]=>[2,4,1,3]=>010 [3,2,1,4]=>[[1,4],[2],[3]]=>[3,2,1,4]=>110 [3,2,4,1]=>[[1,3],[2],[4]]=>[4,2,1,3]=>110 [3,4,1,2]=>[[1,2],[3,4]]=>[3,4,1,2]=>010 [3,4,2,1]=>[[1,2],[3],[4]]=>[4,3,1,2]=>110 [4,1,2,3]=>[[1,3,4],[2]]=>[2,1,3,4]=>100 [4,1,3,2]=>[[1,3],[2],[4]]=>[4,2,1,3]=>110 [4,2,1,3]=>[[1,4],[2],[3]]=>[3,2,1,4]=>110 [4,2,3,1]=>[[1,3],[2],[4]]=>[4,2,1,3]=>110 [4,3,1,2]=>[[1,4],[2],[3]]=>[3,2,1,4]=>110 [4,3,2,1]=>[[1],[2],[3],[4]]=>[4,3,2,1]=>111 [1,2,3,4,5]=>[[1,2,3,4,5]]=>[1,2,3,4,5]=>0000 [1,2,3,5,4]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>1000 [1,2,4,3,5]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>1000 [1,2,4,5,3]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>1000 [1,2,5,3,4]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>1000 [1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>1100 [1,3,2,4,5]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>1000 [1,3,2,5,4]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>0100 [1,3,4,2,5]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>1000 [1,3,4,5,2]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>1000 [1,3,5,2,4]=>[[1,2,3],[4,5]]=>[4,5,1,2,3]=>0100 [1,3,5,4,2]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>1100 [1,4,2,3,5]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>1000 [1,4,2,5,3]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>0100 [1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>1100 [1,4,3,5,2]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>1100 [1,4,5,2,3]=>[[1,2,3],[4,5]]=>[4,5,1,2,3]=>0100 [1,4,5,3,2]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>1100 [1,5,2,3,4]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>1000 [1,5,2,4,3]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>1100 [1,5,3,2,4]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>1100 [1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>1100 [1,5,4,2,3]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>1100 [1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>1110 [2,1,3,4,5]=>[[1,3,4,5],[2]]=>[2,1,3,4,5]=>1000 [2,1,3,5,4]=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>0100 [2,1,4,3,5]=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>0100 [2,1,4,5,3]=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>0100 [2,1,5,3,4]=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>0100 [2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>1010 [2,3,1,4,5]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>1000 [2,3,1,5,4]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>0100 [2,3,4,1,5]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>1000 [2,3,4,5,1]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>1000 [2,3,5,1,4]=>[[1,2,3],[4,5]]=>[4,5,1,2,3]=>0100 [2,3,5,4,1]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>1100 [2,4,1,3,5]=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>0100 [2,4,1,5,3]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>0100 [2,4,3,1,5]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>1100 [2,4,3,5,1]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>1100 [2,4,5,1,3]=>[[1,2,3],[4,5]]=>[4,5,1,2,3]=>0100 [2,4,5,3,1]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>1100 [2,5,1,3,4]=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>0100 [2,5,1,4,3]=>[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>1010 [2,5,3,1,4]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>1100 [2,5,3,4,1]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>1100 [2,5,4,1,3]=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>1010 [2,5,4,3,1]=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>1110 [3,1,2,4,5]=>[[1,3,4,5],[2]]=>[2,1,3,4,5]=>1000 [3,1,2,5,4]=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>0100 [3,1,4,2,5]=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>0100 [3,1,4,5,2]=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>0100 [3,1,5,2,4]=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>0100 [3,1,5,4,2]=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>1010 [3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>1100 [3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>1010 [3,2,4,1,5]=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>1100 [3,2,4,5,1]=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>1100 [3,2,5,1,4]=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>1010 [3,2,5,4,1]=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>1010 [3,4,1,2,5]=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>0100 [3,4,1,5,2]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>0100 [3,4,2,1,5]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>1100 [3,4,2,5,1]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>1100 [3,4,5,1,2]=>[[1,2,3],[4,5]]=>[4,5,1,2,3]=>0100 [3,4,5,2,1]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>1100 [3,5,1,2,4]=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>0100 [3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>1010 [3,5,2,1,4]=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>1010 [3,5,2,4,1]=>[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>1010 [3,5,4,1,2]=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>1010 [3,5,4,2,1]=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>1110 [4,1,2,3,5]=>[[1,3,4,5],[2]]=>[2,1,3,4,5]=>1000 [4,1,2,5,3]=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>0100 [4,1,3,2,5]=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>1100 [4,1,3,5,2]=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>1100 [4,1,5,2,3]=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>0100 [4,1,5,3,2]=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>1010 [4,2,1,3,5]=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>1100 [4,2,1,5,3]=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>1010 [4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>1100 [4,2,3,5,1]=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>1100 [4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>1010 [4,2,5,3,1]=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>1010 [4,3,1,2,5]=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>1100 [4,3,1,5,2]=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>1010 [4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>1110 [4,3,2,5,1]=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>1110 [4,3,5,1,2]=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>1010 [4,3,5,2,1]=>[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>1110 [4,5,1,2,3]=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>0100 [4,5,1,3,2]=>[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>1010 [4,5,2,1,3]=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>1010 [4,5,2,3,1]=>[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>1010 [4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>1010 [4,5,3,2,1]=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>1110 [5,1,2,3,4]=>[[1,3,4,5],[2]]=>[2,1,3,4,5]=>1000 [5,1,2,4,3]=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>1100 [5,1,3,2,4]=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>1100 [5,1,3,4,2]=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>1100 [5,1,4,2,3]=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>1100 [5,1,4,3,2]=>[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>1110 [5,2,1,3,4]=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>1100 [5,2,1,4,3]=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>1010 [5,2,3,1,4]=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>1100 [5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>1100 [5,2,4,1,3]=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>1010 [5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>1110 [5,3,1,2,4]=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>1100 [5,3,1,4,2]=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>1010 [5,3,2,1,4]=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>1110 [5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>1110 [5,3,4,1,2]=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>1010 [5,3,4,2,1]=>[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>1110 [5,4,1,2,3]=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>1100 [5,4,1,3,2]=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>1110 [5,4,2,1,3]=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>1110 [5,4,2,3,1]=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>1110 [5,4,3,1,2]=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>1110 [5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>1111 [1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>00000 [1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>10000 [1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>10000 [1,2,3,5,6,4]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>10000 [1,2,3,6,4,5]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>10000 [1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>10000 [1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [1,2,4,5,3,6]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>10000 [1,2,4,5,6,3]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>10000 [1,2,4,6,3,5]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [1,2,4,6,5,3]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [1,2,5,3,4,6]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>10000 [1,2,5,3,6,4]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [1,2,5,4,6,3]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [1,2,5,6,4,3]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [1,2,6,3,4,5]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>10000 [1,2,6,3,5,4]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [1,2,6,4,3,5]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [1,2,6,5,3,4]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>10000 [1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [1,3,2,5,6,4]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [1,3,2,6,4,5]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [1,3,4,2,5,6]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>10000 [1,3,4,2,6,5]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [1,3,4,5,2,6]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>10000 [1,3,4,5,6,2]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>10000 [1,3,4,6,2,5]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [1,3,4,6,5,2]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [1,3,5,2,4,6]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [1,3,5,2,6,4]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [1,3,5,4,2,6]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [1,3,5,4,6,2]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [1,3,5,6,2,4]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [1,3,5,6,4,2]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [1,3,6,2,4,5]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [1,3,6,2,5,4]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [1,3,6,4,2,5]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [1,3,6,4,5,2]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [1,3,6,5,2,4]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [1,3,6,5,4,2]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [1,4,2,3,5,6]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>10000 [1,4,2,3,6,5]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [1,4,2,5,3,6]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [1,4,2,5,6,3]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [1,4,2,6,3,5]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [1,4,2,6,5,3]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [1,4,3,5,2,6]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [1,4,3,5,6,2]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [1,4,3,6,2,5]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [1,4,3,6,5,2]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [1,4,5,2,6,3]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [1,4,5,3,2,6]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [1,4,5,3,6,2]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [1,4,5,6,2,3]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [1,4,5,6,3,2]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [1,4,6,2,3,5]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [1,4,6,3,2,5]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [1,4,6,3,5,2]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [1,4,6,5,2,3]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [1,4,6,5,3,2]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [1,5,2,3,4,6]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>10000 [1,5,2,3,6,4]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [1,5,2,4,3,6]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [1,5,2,4,6,3]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [1,5,2,6,3,4]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [1,5,2,6,4,3]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [1,5,3,2,4,6]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [1,5,3,2,6,4]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [1,5,3,4,6,2]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [1,5,3,6,4,2]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [1,5,4,2,3,6]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [1,5,4,2,6,3]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [1,5,4,3,6,2]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [1,5,4,6,2,3]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [1,5,4,6,3,2]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [1,5,6,2,3,4]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [1,5,6,2,4,3]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [1,5,6,3,2,4]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [1,5,6,3,4,2]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [1,5,6,4,3,2]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [1,6,2,3,4,5]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>10000 [1,6,2,3,5,4]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [1,6,2,4,3,5]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [1,6,2,4,5,3]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [1,6,2,5,3,4]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [1,6,2,5,4,3]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [1,6,3,2,4,5]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [1,6,3,2,5,4]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [1,6,3,4,2,5]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [1,6,3,5,2,4]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [1,6,4,2,3,5]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [1,6,4,2,5,3]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [1,6,4,3,2,5]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [1,6,4,5,2,3]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [1,6,4,5,3,2]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [1,6,5,2,3,4]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [1,6,5,2,4,3]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [1,6,5,3,2,4]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [1,6,5,3,4,2]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [1,6,5,4,2,3]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>11110 [2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>10000 [2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [2,1,3,5,6,4]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [2,1,3,6,4,5]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>00100 [2,1,4,5,3,6]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [2,1,4,5,6,3]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [2,1,4,6,3,5]=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>00100 [2,1,4,6,5,3]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [2,1,5,3,4,6]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [2,1,5,3,6,4]=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>00100 [2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [2,1,5,4,6,3]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>00100 [2,1,5,6,4,3]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [2,1,6,3,4,5]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [2,1,6,3,5,4]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [2,1,6,4,3,5]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [2,1,6,5,3,4]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [2,3,1,4,5,6]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>10000 [2,3,1,4,6,5]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [2,3,1,5,4,6]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [2,3,1,5,6,4]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [2,3,1,6,4,5]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [2,3,1,6,5,4]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [2,3,4,1,5,6]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>10000 [2,3,4,1,6,5]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [2,3,4,5,1,6]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>10000 [2,3,4,5,6,1]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>10000 [2,3,4,6,1,5]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [2,3,4,6,5,1]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [2,3,5,1,4,6]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [2,3,5,1,6,4]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [2,3,5,4,1,6]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [2,3,5,4,6,1]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [2,3,5,6,1,4]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [2,3,5,6,4,1]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [2,3,6,1,4,5]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [2,3,6,1,5,4]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [2,3,6,4,1,5]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [2,3,6,4,5,1]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [2,3,6,5,1,4]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [2,3,6,5,4,1]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [2,4,1,3,5,6]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [2,4,1,3,6,5]=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>00100 [2,4,1,5,3,6]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [2,4,1,5,6,3]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [2,4,1,6,3,5]=>[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>00100 [2,4,1,6,5,3]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [2,4,3,1,5,6]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [2,4,3,1,6,5]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [2,4,3,5,1,6]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [2,4,3,5,6,1]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [2,4,3,6,1,5]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [2,4,3,6,5,1]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [2,4,5,1,3,6]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [2,4,5,1,6,3]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [2,4,5,3,1,6]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [2,4,5,3,6,1]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [2,4,5,6,1,3]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [2,4,5,6,3,1]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [2,4,6,1,3,5]=>[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>00100 [2,4,6,1,5,3]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [2,4,6,3,1,5]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [2,4,6,3,5,1]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [2,4,6,5,1,3]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [2,4,6,5,3,1]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [2,5,1,3,4,6]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [2,5,1,3,6,4]=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>00100 [2,5,1,4,3,6]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [2,5,1,4,6,3]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [2,5,1,6,3,4]=>[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>00100 [2,5,1,6,4,3]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [2,5,3,1,4,6]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [2,5,3,1,6,4]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [2,5,3,4,1,6]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [2,5,3,4,6,1]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [2,5,3,6,1,4]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [2,5,3,6,4,1]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [2,5,4,1,3,6]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [2,5,4,1,6,3]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [2,5,4,3,1,6]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [2,5,4,3,6,1]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [2,5,4,6,1,3]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [2,5,4,6,3,1]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [2,5,6,1,3,4]=>[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>00100 [2,5,6,1,4,3]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [2,5,6,3,1,4]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [2,5,6,3,4,1]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [2,5,6,4,1,3]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [2,5,6,4,3,1]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [2,6,1,3,4,5]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [2,6,1,3,5,4]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [2,6,1,4,3,5]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [2,6,1,4,5,3]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [2,6,1,5,3,4]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [2,6,1,5,4,3]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [2,6,3,1,4,5]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [2,6,3,1,5,4]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [2,6,3,4,1,5]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [2,6,3,4,5,1]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [2,6,3,5,1,4]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [2,6,3,5,4,1]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [2,6,4,1,3,5]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [2,6,4,1,5,3]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [2,6,4,3,1,5]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [2,6,4,3,5,1]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [2,6,4,5,1,3]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [2,6,4,5,3,1]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [2,6,5,1,3,4]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [2,6,5,1,4,3]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [2,6,5,3,1,4]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [2,6,5,3,4,1]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [2,6,5,4,1,3]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [2,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>11110 [3,1,2,4,5,6]=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>10000 [3,1,2,4,6,5]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [3,1,2,5,4,6]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [3,1,2,5,6,4]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [3,1,2,6,4,5]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [3,1,2,6,5,4]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [3,1,4,2,5,6]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [3,1,4,2,6,5]=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>00100 [3,1,4,5,2,6]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [3,1,4,5,6,2]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [3,1,4,6,2,5]=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>00100 [3,1,4,6,5,2]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [3,1,5,2,4,6]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [3,1,5,2,6,4]=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>00100 [3,1,5,4,2,6]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [3,1,5,4,6,2]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [3,1,5,6,2,4]=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>00100 [3,1,5,6,4,2]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [3,1,6,2,4,5]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [3,1,6,2,5,4]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [3,1,6,4,2,5]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [3,1,6,4,5,2]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [3,1,6,5,2,4]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [3,1,6,5,4,2]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [3,2,1,5,6,4]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [3,2,1,6,4,5]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>01010 [3,2,4,1,5,6]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [3,2,4,1,6,5]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [3,2,4,5,1,6]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [3,2,4,5,6,1]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [3,2,4,6,1,5]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [3,2,4,6,5,1]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [3,2,5,1,4,6]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [3,2,5,1,6,4]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [3,2,5,4,1,6]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [3,2,5,4,6,1]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [3,2,5,6,1,4]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [3,2,5,6,4,1]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [3,2,6,1,4,5]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [3,2,6,1,5,4]=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>01010 [3,2,6,4,1,5]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [3,2,6,4,5,1]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [3,2,6,5,1,4]=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>01010 [3,2,6,5,4,1]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>00100 [3,4,1,5,2,6]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [3,4,1,5,6,2]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [3,4,1,6,2,5]=>[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>00100 [3,4,1,6,5,2]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [3,4,2,1,5,6]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [3,4,2,1,6,5]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [3,4,2,5,1,6]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [3,4,2,5,6,1]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [3,4,2,6,1,5]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [3,4,2,6,5,1]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [3,4,5,1,2,6]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [3,4,5,1,6,2]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [3,4,5,2,1,6]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [3,4,5,2,6,1]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [3,4,5,6,1,2]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [3,4,5,6,2,1]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [3,4,6,1,2,5]=>[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>00100 [3,4,6,1,5,2]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [3,4,6,2,1,5]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [3,4,6,2,5,1]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [3,4,6,5,1,2]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [3,4,6,5,2,1]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [3,5,1,2,4,6]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [3,5,1,2,6,4]=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>00100 [3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [3,5,1,4,6,2]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>00100 [3,5,1,6,4,2]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [3,5,2,1,4,6]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [3,5,2,1,6,4]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [3,5,2,4,1,6]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [3,5,2,4,6,1]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [3,5,2,6,1,4]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [3,5,2,6,4,1]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [3,5,4,1,2,6]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [3,5,4,1,6,2]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [3,5,4,2,1,6]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [3,5,4,2,6,1]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [3,5,4,6,1,2]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [3,5,4,6,2,1]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [3,5,6,1,2,4]=>[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>00100 [3,5,6,1,4,2]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [3,5,6,2,1,4]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [3,5,6,2,4,1]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [3,5,6,4,1,2]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [3,5,6,4,2,1]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [3,6,1,2,4,5]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [3,6,1,2,5,4]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [3,6,1,4,2,5]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [3,6,1,5,2,4]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [3,6,2,1,4,5]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [3,6,2,1,5,4]=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>01010 [3,6,2,4,1,5]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [3,6,2,4,5,1]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [3,6,2,5,1,4]=>[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>01010 [3,6,2,5,4,1]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [3,6,4,1,2,5]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [3,6,4,1,5,2]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [3,6,4,2,1,5]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [3,6,4,2,5,1]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [3,6,4,5,1,2]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [3,6,4,5,2,1]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [3,6,5,1,2,4]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [3,6,5,1,4,2]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [3,6,5,2,1,4]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [3,6,5,2,4,1]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [3,6,5,4,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [3,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>11110 [4,1,2,3,5,6]=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>10000 [4,1,2,3,6,5]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [4,1,2,5,3,6]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [4,1,2,5,6,3]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [4,1,2,6,3,5]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [4,1,2,6,5,3]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [4,1,3,2,5,6]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [4,1,3,2,6,5]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [4,1,3,5,2,6]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [4,1,3,5,6,2]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [4,1,3,6,2,5]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [4,1,3,6,5,2]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [4,1,5,2,3,6]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [4,1,5,2,6,3]=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>00100 [4,1,5,3,2,6]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [4,1,5,3,6,2]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [4,1,5,6,2,3]=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>00100 [4,1,5,6,3,2]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [4,1,6,2,3,5]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [4,1,6,2,5,3]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [4,1,6,3,2,5]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [4,1,6,3,5,2]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [4,1,6,5,2,3]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [4,1,6,5,3,2]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [4,2,1,3,5,6]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [4,2,1,3,6,5]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [4,2,1,5,3,6]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [4,2,1,5,6,3]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [4,2,1,6,3,5]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [4,2,1,6,5,3]=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>01010 [4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [4,2,3,5,1,6]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [4,2,3,5,6,1]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [4,2,3,6,1,5]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [4,2,3,6,5,1]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [4,2,5,1,6,3]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [4,2,5,3,1,6]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [4,2,5,3,6,1]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [4,2,5,6,1,3]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [4,2,5,6,3,1]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [4,2,6,1,3,5]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>01010 [4,2,6,3,1,5]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [4,2,6,3,5,1]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [4,2,6,5,1,3]=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>01010 [4,2,6,5,3,1]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [4,3,1,2,5,6]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [4,3,1,2,6,5]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [4,3,1,5,2,6]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [4,3,1,5,6,2]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [4,3,1,6,2,5]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [4,3,1,6,5,2]=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>01010 [4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [4,3,2,5,1,6]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [4,3,2,5,6,1]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [4,3,2,6,1,5]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [4,3,2,6,5,1]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [4,3,5,1,2,6]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [4,3,5,1,6,2]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [4,3,5,2,1,6]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [4,3,5,2,6,1]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [4,3,5,6,1,2]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [4,3,5,6,2,1]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [4,3,6,1,2,5]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [4,3,6,1,5,2]=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>01010 [4,3,6,2,1,5]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [4,3,6,2,5,1]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [4,3,6,5,1,2]=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>01010 [4,3,6,5,2,1]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [4,5,1,2,3,6]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [4,5,1,2,6,3]=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>00100 [4,5,1,3,2,6]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [4,5,1,3,6,2]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [4,5,1,6,2,3]=>[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>00100 [4,5,1,6,3,2]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [4,5,2,1,3,6]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [4,5,2,1,6,3]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [4,5,2,3,1,6]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [4,5,2,3,6,1]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [4,5,2,6,1,3]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [4,5,2,6,3,1]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [4,5,3,1,6,2]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [4,5,3,2,1,6]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [4,5,3,2,6,1]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [4,5,3,6,1,2]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [4,5,3,6,2,1]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>00100 [4,5,6,1,3,2]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [4,5,6,2,1,3]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [4,5,6,2,3,1]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [4,5,6,3,1,2]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [4,5,6,3,2,1]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [4,6,1,2,3,5]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [4,6,1,2,5,3]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [4,6,1,3,2,5]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [4,6,1,3,5,2]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [4,6,1,5,2,3]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [4,6,1,5,3,2]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [4,6,2,1,3,5]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [4,6,2,1,5,3]=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>01010 [4,6,2,3,1,5]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [4,6,2,3,5,1]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [4,6,2,5,1,3]=>[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>01010 [4,6,2,5,3,1]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [4,6,3,1,2,5]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>01010 [4,6,3,2,1,5]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [4,6,3,2,5,1]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [4,6,3,5,1,2]=>[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>01010 [4,6,3,5,2,1]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [4,6,5,1,2,3]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [4,6,5,2,1,3]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [4,6,5,2,3,1]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [4,6,5,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [4,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>11110 [5,1,2,3,4,6]=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>10000 [5,1,2,3,6,4]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [5,1,2,4,3,6]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [5,1,2,4,6,3]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [5,1,2,6,3,4]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [5,1,2,6,4,3]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [5,1,3,2,4,6]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [5,1,3,2,6,4]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [5,1,3,4,2,6]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [5,1,3,4,6,2]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [5,1,3,6,2,4]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [5,1,3,6,4,2]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [5,1,4,2,3,6]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [5,1,4,2,6,3]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [5,1,4,3,2,6]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [5,1,4,3,6,2]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [5,1,4,6,2,3]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [5,1,4,6,3,2]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [5,1,6,2,3,4]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [5,1,6,2,4,3]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [5,1,6,3,2,4]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [5,1,6,3,4,2]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [5,1,6,4,2,3]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [5,1,6,4,3,2]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [5,2,1,3,4,6]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [5,2,1,3,6,4]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [5,2,1,4,3,6]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [5,2,1,4,6,3]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [5,2,1,6,3,4]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [5,2,1,6,4,3]=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>01010 [5,2,3,1,4,6]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [5,2,3,1,6,4]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [5,2,3,4,6,1]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [5,2,3,6,4,1]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [5,2,4,1,3,6]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [5,2,4,1,6,3]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [5,2,4,3,6,1]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [5,2,4,6,1,3]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [5,2,4,6,3,1]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [5,2,6,1,3,4]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [5,2,6,1,4,3]=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>01010 [5,2,6,3,1,4]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [5,2,6,3,4,1]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>01010 [5,2,6,4,3,1]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [5,3,1,2,4,6]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [5,3,1,2,6,4]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [5,3,1,4,2,6]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [5,3,1,4,6,2]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [5,3,1,6,2,4]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [5,3,1,6,4,2]=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>01010 [5,3,2,1,4,6]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [5,3,2,1,6,4]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [5,3,2,4,6,1]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [5,3,2,6,4,1]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [5,3,4,1,2,6]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [5,3,4,1,6,2]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [5,3,4,2,1,6]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [5,3,4,2,6,1]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [5,3,4,6,1,2]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [5,3,4,6,2,1]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [5,3,6,1,2,4]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [5,3,6,1,4,2]=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>01010 [5,3,6,2,1,4]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [5,3,6,2,4,1]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [5,3,6,4,1,2]=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>01010 [5,3,6,4,2,1]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [5,4,1,2,3,6]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [5,4,1,2,6,3]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [5,4,1,3,2,6]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [5,4,1,3,6,2]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [5,4,1,6,2,3]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [5,4,1,6,3,2]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [5,4,2,1,3,6]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [5,4,2,1,6,3]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [5,4,2,3,6,1]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [5,4,2,6,1,3]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [5,4,2,6,3,1]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [5,4,3,1,2,6]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [5,4,3,1,6,2]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>11110 [5,4,3,2,6,1]=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>11110 [5,4,3,6,1,2]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [5,4,3,6,2,1]=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>11110 [5,4,6,1,2,3]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [5,4,6,1,3,2]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [5,4,6,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [5,4,6,3,1,2]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [5,4,6,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>11110 [5,6,1,2,3,4]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [5,6,1,2,4,3]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [5,6,1,3,2,4]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [5,6,1,3,4,2]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [5,6,1,4,2,3]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [5,6,1,4,3,2]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [5,6,2,1,3,4]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [5,6,2,1,4,3]=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>01010 [5,6,2,3,1,4]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [5,6,2,3,4,1]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [5,6,2,4,1,3]=>[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>01010 [5,6,2,4,3,1]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [5,6,3,1,2,4]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [5,6,3,1,4,2]=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>01010 [5,6,3,2,1,4]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [5,6,3,2,4,1]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>01010 [5,6,3,4,2,1]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [5,6,4,1,2,3]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [5,6,4,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [5,6,4,2,1,3]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [5,6,4,2,3,1]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [5,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>11110 [6,1,2,3,4,5]=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>10000 [6,1,2,3,5,4]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [6,1,2,4,3,5]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [6,1,2,4,5,3]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [6,1,2,5,3,4]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [6,1,2,5,4,3]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [6,1,3,2,4,5]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [6,1,3,2,5,4]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [6,1,3,4,2,5]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [6,1,3,4,5,2]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [6,1,3,5,2,4]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [6,1,3,5,4,2]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [6,1,4,2,3,5]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [6,1,4,2,5,3]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [6,1,4,3,2,5]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [6,1,4,3,5,2]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [6,1,4,5,2,3]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [6,1,4,5,3,2]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [6,1,5,2,3,4]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [6,1,5,2,4,3]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [6,1,5,3,2,4]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [6,1,5,3,4,2]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [6,1,5,4,2,3]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [6,1,5,4,3,2]=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>11110 [6,2,1,3,4,5]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [6,2,1,3,5,4]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [6,2,1,4,3,5]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [6,2,1,4,5,3]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [6,2,1,5,3,4]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [6,2,1,5,4,3]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [6,2,3,1,4,5]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [6,2,3,1,5,4]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [6,2,3,4,1,5]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [6,2,3,5,1,4]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [6,2,4,1,3,5]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [6,2,4,1,5,3]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [6,2,4,3,1,5]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [6,2,4,5,1,3]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [6,2,4,5,3,1]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [6,2,5,1,3,4]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [6,2,5,1,4,3]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [6,2,5,3,1,4]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [6,2,5,3,4,1]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [6,2,5,4,1,3]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>11110 [6,3,1,2,4,5]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [6,3,1,2,5,4]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [6,3,1,4,2,5]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [6,3,1,4,5,2]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [6,3,1,5,2,4]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [6,3,1,5,4,2]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [6,3,2,1,4,5]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [6,3,2,1,5,4]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [6,3,2,4,1,5]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [6,3,2,5,1,4]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [6,3,4,1,2,5]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [6,3,4,1,5,2]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [6,3,4,2,1,5]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [6,3,4,2,5,1]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [6,3,4,5,1,2]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [6,3,4,5,2,1]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [6,3,5,1,2,4]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [6,3,5,1,4,2]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [6,3,5,2,1,4]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [6,3,5,2,4,1]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [6,3,5,4,1,2]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [6,3,5,4,2,1]=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>11110 [6,4,1,2,3,5]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [6,4,1,2,5,3]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [6,4,1,3,2,5]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [6,4,1,3,5,2]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [6,4,1,5,2,3]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [6,4,1,5,3,2]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [6,4,2,1,3,5]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [6,4,2,1,5,3]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [6,4,2,3,1,5]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [6,4,2,3,5,1]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [6,4,2,5,1,3]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [6,4,2,5,3,1]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [6,4,3,1,2,5]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [6,4,3,1,5,2]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [6,4,3,2,1,5]=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>11110 [6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>11110 [6,4,3,5,1,2]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [6,4,3,5,2,1]=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>11110 [6,4,5,1,2,3]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [6,4,5,1,3,2]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [6,4,5,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [6,4,5,3,1,2]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [6,4,5,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>11110 [6,5,1,2,3,4]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [6,5,1,2,4,3]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [6,5,1,3,2,4]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [6,5,1,3,4,2]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [6,5,1,4,2,3]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [6,5,1,4,3,2]=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>11110 [6,5,2,1,3,4]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [6,5,2,1,4,3]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [6,5,2,3,1,4]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [6,5,2,4,1,3]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [6,5,2,4,3,1]=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>11110 [6,5,3,1,2,4]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [6,5,3,1,4,2]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [6,5,3,2,1,4]=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>11110 [6,5,3,2,4,1]=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>11110 [6,5,3,4,1,2]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>11110 [6,5,4,1,2,3]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [6,5,4,1,3,2]=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>11110 [6,5,4,2,1,3]=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>11110 [6,5,4,2,3,1]=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>11110 [6,5,4,3,1,2]=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>11110 [6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>11111 [1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>000000 [1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>100000 [1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>100000 [1,2,3,4,6,7,5]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>100000 [1,2,3,4,7,5,6]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>100000 [1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>100000 [1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,2,3,5,6,4,7]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>100000 [1,2,3,5,6,7,4]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>100000 [1,2,3,5,7,4,6]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,2,3,5,7,6,4]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,2,3,6,4,5,7]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>100000 [1,2,3,6,4,7,5]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,2,3,6,5,7,4]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,2,3,6,7,5,4]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,2,3,7,4,5,6]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>100000 [1,2,3,7,4,6,5]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,2,3,7,5,4,6]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,2,3,7,6,4,5]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>100000 [1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,2,4,3,6,7,5]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,2,4,3,7,5,6]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,2,4,5,3,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>100000 [1,2,4,5,3,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,2,4,5,6,3,7]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>100000 [1,2,4,5,6,7,3]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>100000 [1,2,4,5,7,3,6]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,2,4,5,7,6,3]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,2,4,6,3,5,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,2,4,6,3,7,5]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,2,4,6,5,3,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,2,4,6,5,7,3]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,2,4,6,7,3,5]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,2,4,6,7,5,3]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,2,4,7,3,5,6]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,2,4,7,3,6,5]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,2,4,7,5,3,6]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,2,4,7,5,6,3]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,2,4,7,6,3,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,2,4,7,6,5,3]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,2,5,3,4,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>100000 [1,2,5,3,4,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,2,5,3,6,4,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,2,5,3,6,7,4]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,2,5,3,7,4,6]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,2,5,3,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,2,5,4,6,3,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,2,5,4,6,7,3]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,2,5,4,7,3,6]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,2,5,4,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,2,5,6,3,7,4]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,2,5,6,4,3,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,2,5,6,4,7,3]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,2,5,6,7,3,4]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,2,5,6,7,4,3]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,2,5,7,3,4,6]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,2,5,7,4,3,6]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,2,5,7,4,6,3]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,2,5,7,6,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,2,5,7,6,4,3]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,2,6,3,4,5,7]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>100000 [1,2,6,3,4,7,5]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,2,6,3,5,4,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,2,6,3,5,7,4]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,2,6,3,7,4,5]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,2,6,3,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,2,6,4,3,5,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,2,6,4,3,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,2,6,4,5,7,3]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,2,6,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,2,6,4,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,2,6,5,3,4,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,2,6,5,3,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,2,6,5,4,7,3]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,2,6,5,7,3,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,2,6,5,7,4,3]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,2,6,7,3,4,5]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,2,6,7,3,5,4]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,2,6,7,4,3,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,2,6,7,4,5,3]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,2,6,7,5,4,3]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,2,7,3,4,5,6]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>100000 [1,2,7,3,4,6,5]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,2,7,3,5,4,6]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,2,7,3,5,6,4]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,2,7,3,6,4,5]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,2,7,3,6,5,4]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,2,7,4,3,5,6]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,2,7,4,3,6,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,2,7,4,5,3,6]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,2,7,4,6,3,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,2,7,5,3,4,6]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,2,7,5,3,6,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,2,7,5,4,3,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,2,7,5,6,3,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,2,7,5,6,4,3]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,2,7,6,3,4,5]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,2,7,6,3,5,4]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,2,7,6,4,3,5]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,2,7,6,4,5,3]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,2,7,6,5,3,4]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>100000 [1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,3,2,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,3,2,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [1,3,2,5,6,4,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,3,2,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,3,2,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [1,3,2,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,3,2,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,3,2,6,4,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,3,2,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [1,3,2,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,3,2,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,3,2,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,3,2,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,3,2,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,3,4,2,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>100000 [1,3,4,2,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,3,4,2,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,3,4,2,6,7,5]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,3,4,2,7,5,6]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,3,4,2,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,3,4,5,2,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>100000 [1,3,4,5,2,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,3,4,5,6,2,7]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>100000 [1,3,4,5,6,7,2]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>100000 [1,3,4,5,7,2,6]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,3,4,5,7,6,2]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,3,4,6,2,5,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,3,4,6,2,7,5]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,3,4,6,5,2,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,3,4,6,5,7,2]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,3,4,6,7,2,5]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,3,4,6,7,5,2]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,3,4,7,2,5,6]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,3,4,7,2,6,5]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,3,4,7,5,2,6]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,3,4,7,5,6,2]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,3,4,7,6,2,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,3,4,7,6,5,2]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,3,5,2,4,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,3,5,2,4,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [1,3,5,2,6,4,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,3,5,2,6,7,4]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,3,5,2,7,4,6]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [1,3,5,2,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,3,5,4,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,3,5,4,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,3,5,4,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,3,5,4,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,3,5,4,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,3,5,4,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,3,5,6,2,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,3,5,6,2,7,4]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,3,5,6,4,2,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,3,5,6,4,7,2]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,3,5,6,7,2,4]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,3,5,6,7,4,2]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,3,5,7,2,4,6]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [1,3,5,7,2,6,4]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,3,5,7,4,2,6]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,3,5,7,4,6,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,3,5,7,6,2,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,3,5,7,6,4,2]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,3,6,2,4,5,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,3,6,2,4,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [1,3,6,2,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,3,6,2,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,3,6,2,7,4,5]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [1,3,6,2,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,3,6,4,2,5,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,3,6,4,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,3,6,4,5,2,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,3,6,4,5,7,2]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,3,6,4,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,3,6,4,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,3,6,5,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,3,6,5,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,3,6,5,4,2,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,3,6,5,4,7,2]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,3,6,5,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,3,6,5,7,4,2]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,3,6,7,2,4,5]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [1,3,6,7,2,5,4]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,3,6,7,4,2,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,3,6,7,4,5,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,3,6,7,5,2,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,3,6,7,5,4,2]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,3,7,2,4,5,6]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,3,7,2,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,3,7,2,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,3,7,2,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,3,7,2,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,3,7,2,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,3,7,4,2,5,6]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,3,7,4,2,6,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,3,7,4,5,2,6]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,3,7,4,5,6,2]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,3,7,4,6,2,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,3,7,4,6,5,2]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,3,7,5,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,3,7,5,2,6,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,3,7,5,4,2,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,3,7,5,4,6,2]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,3,7,5,6,2,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,3,7,5,6,4,2]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,3,7,6,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,3,7,6,2,5,4]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,3,7,6,4,2,5]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,3,7,6,4,5,2]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,3,7,6,5,2,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,3,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [1,4,2,3,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>100000 [1,4,2,3,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,4,2,3,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,4,2,3,6,7,5]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,4,2,3,7,5,6]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,4,2,3,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,4,2,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,4,2,5,3,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [1,4,2,5,6,3,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,4,2,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,4,2,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [1,4,2,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,4,2,6,3,5,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,4,2,6,3,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [1,4,2,6,5,3,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,4,2,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,4,2,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [1,4,2,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,4,2,7,3,5,6]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,4,2,7,3,6,5]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,4,2,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,4,2,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,4,2,7,6,3,5]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,4,2,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,4,3,2,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,4,3,2,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [1,4,3,5,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,4,3,5,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,4,3,5,6,2,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,4,3,5,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,4,3,5,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,4,3,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,4,3,6,2,5,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,4,3,6,2,7,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,4,3,6,5,2,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,4,3,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,4,3,6,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,4,3,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,4,3,7,2,5,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,4,3,7,2,6,5]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [1,4,3,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,4,3,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,4,3,7,6,2,5]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [1,4,3,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [1,4,5,2,6,3,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [1,4,5,2,6,7,3]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [1,4,5,2,7,3,6]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [1,4,5,2,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,4,5,3,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [1,4,5,3,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,4,5,3,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [1,4,5,3,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [1,4,5,3,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,4,5,3,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,4,5,6,2,3,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [1,4,5,6,2,7,3]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [1,4,5,6,3,2,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [1,4,5,6,3,7,2]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [1,4,5,6,7,2,3]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [1,4,5,6,7,3,2]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [1,4,5,7,2,3,6]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [1,4,5,7,2,6,3]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,4,5,7,3,2,6]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,4,5,7,3,6,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,4,5,7,6,2,3]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,4,5,7,6,3,2]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,4,6,2,3,5,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,4,6,2,3,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,4,6,2,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [1,4,6,2,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,4,6,3,2,5,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,4,6,3,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,4,6,3,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,4,6,3,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,4,6,3,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,4,6,3,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,4,6,5,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,4,6,5,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,4,6,5,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,4,6,5,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,4,6,5,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,4,6,5,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,4,6,7,2,3,5]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [1,4,6,7,2,5,3]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,4,6,7,3,2,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,4,6,7,3,5,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,4,6,7,5,2,3]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,4,6,7,5,3,2]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,4,7,2,3,5,6]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,4,7,2,3,6,5]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,4,7,2,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,4,7,2,6,3,5]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,4,7,3,2,5,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,4,7,3,2,6,5]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [1,4,7,3,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,4,7,3,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,4,7,3,6,2,5]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [1,4,7,3,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,4,7,5,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,4,7,5,2,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,4,7,5,3,2,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,4,7,5,3,6,2]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,4,7,5,6,2,3]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,4,7,5,6,3,2]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,4,7,6,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,4,7,6,2,5,3]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,4,7,6,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,4,7,6,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,4,7,6,5,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,4,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [1,5,2,3,4,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>100000 [1,5,2,3,4,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,5,2,3,6,4,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,5,2,3,6,7,4]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,5,2,3,7,4,6]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,5,2,3,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,5,2,4,3,6,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,5,2,4,3,7,6]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,5,2,4,6,3,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,5,2,4,6,7,3]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,5,2,4,7,3,6]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,5,2,4,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,5,2,6,3,4,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,5,2,6,3,7,4]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [1,5,2,6,4,3,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,5,2,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,5,2,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [1,5,2,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,5,2,7,3,4,6]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,5,2,7,3,6,4]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,5,2,7,4,3,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,5,2,7,4,6,3]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,5,2,7,6,3,4]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,5,2,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,5,3,2,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,5,3,2,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,5,3,2,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,5,3,2,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,5,3,2,7,4,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,5,3,2,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,5,3,4,6,2,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,5,3,4,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,5,3,4,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,5,3,4,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,5,3,6,2,7,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,5,3,6,4,2,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,5,3,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,5,3,6,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,5,3,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,5,3,7,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [1,5,3,7,4,2,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,5,3,7,4,6,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,5,3,7,6,2,4]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [1,5,3,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,5,4,2,3,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,5,4,2,3,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,5,4,2,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,5,4,2,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,5,4,2,7,3,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,5,4,2,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,5,4,3,6,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,5,4,3,6,7,2]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,5,4,3,7,2,6]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,5,4,3,7,6,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,5,4,6,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,5,4,6,2,7,3]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,5,4,6,3,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,5,4,6,3,7,2]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,5,4,6,7,2,3]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,5,4,6,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,5,4,7,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,5,4,7,2,6,3]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [1,5,4,7,3,2,6]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,5,4,7,3,6,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,5,4,7,6,2,3]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [1,5,4,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,5,6,2,3,4,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,5,6,2,3,7,4]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [1,5,6,2,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,5,6,2,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,5,6,2,7,3,4]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [1,5,6,2,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,5,6,3,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,5,6,3,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,5,6,3,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,5,6,3,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,5,6,3,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,5,6,3,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,5,6,4,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [1,5,6,4,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [1,5,6,4,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [1,5,6,4,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [1,5,6,4,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [1,5,6,7,2,4,3]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,5,6,7,3,2,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,5,6,7,3,4,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [1,5,6,7,4,2,3]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [1,5,6,7,4,3,2]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [1,5,7,2,3,4,6]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,5,7,2,3,6,4]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,5,7,2,4,3,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,5,7,2,4,6,3]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,5,7,2,6,3,4]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,5,7,2,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,5,7,3,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,5,7,3,2,6,4]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [1,5,7,3,4,2,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,5,7,3,4,6,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,5,7,3,6,2,4]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [1,5,7,3,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,5,7,4,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [1,5,7,4,3,2,6]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,5,7,4,3,6,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,5,7,4,6,2,3]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [1,5,7,4,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,5,7,6,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,5,7,6,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,5,7,6,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,5,7,6,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,5,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [1,6,2,3,4,5,7]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>100000 [1,6,2,3,4,7,5]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [1,6,2,3,5,4,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,6,2,3,5,7,4]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,6,2,3,7,4,5]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [1,6,2,3,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,6,2,4,3,5,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,6,2,4,3,7,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,6,2,4,5,3,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,6,2,4,5,7,3]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,6,2,4,7,3,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,6,2,4,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,6,2,5,3,4,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,6,2,5,3,7,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,6,2,5,4,3,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,6,2,5,4,7,3]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,6,2,5,7,3,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,6,2,5,7,4,3]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,6,2,7,3,4,5]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [1,6,2,7,3,5,4]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,6,2,7,4,3,5]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,6,2,7,4,5,3]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,6,2,7,5,3,4]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,6,2,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,6,3,2,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,6,3,2,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,6,3,2,5,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,6,3,2,5,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,6,3,2,7,4,5]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,6,3,2,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [1,6,3,4,2,5,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,6,3,4,2,7,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,6,3,4,5,7,2]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,6,3,4,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [1,6,3,5,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,6,3,5,2,7,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,6,3,5,4,7,2]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,6,3,5,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,6,3,5,7,4,2]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,6,3,7,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,6,3,7,2,5,4]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [1,6,3,7,4,2,5]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [1,6,3,7,4,5,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [1,6,3,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,6,4,2,3,5,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,6,4,2,3,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,6,4,2,5,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,6,4,2,5,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,6,4,2,7,3,5]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,6,4,2,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [1,6,4,3,2,5,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,6,4,3,2,7,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,6,4,3,5,7,2]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,6,4,3,7,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,6,4,5,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,6,4,5,2,7,3]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,6,4,5,3,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,6,4,5,3,7,2]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,6,4,5,7,2,3]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,6,4,5,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,6,4,7,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,6,4,7,2,5,3]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [1,6,4,7,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,6,4,7,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,6,4,7,5,2,3]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [1,6,4,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [1,6,5,2,3,4,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,6,5,2,3,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,6,5,2,4,3,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,6,5,2,4,7,3]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,6,5,2,7,3,4]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,6,5,2,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,6,5,3,2,4,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,6,5,3,2,7,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,6,5,3,4,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,6,5,3,4,7,2]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,6,5,3,7,2,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,6,5,3,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,6,5,4,2,3,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,6,5,4,2,7,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [1,6,5,4,3,7,2]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [1,6,5,4,7,2,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,6,5,4,7,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [1,6,5,7,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,6,5,7,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,6,5,7,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,6,5,7,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,6,5,7,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [1,6,7,2,3,4,5]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [1,6,7,2,3,5,4]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,6,7,2,4,3,5]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,6,7,2,4,5,3]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,6,7,2,5,3,4]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,6,7,2,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,6,7,3,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,6,7,3,2,5,4]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [1,6,7,3,4,2,5]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [1,6,7,3,4,5,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [1,6,7,3,5,2,4]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [1,6,7,3,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,6,7,4,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,6,7,4,2,5,3]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [1,6,7,4,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,6,7,4,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [1,6,7,4,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [1,6,7,5,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [1,6,7,5,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,6,7,5,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,6,7,5,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [1,6,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [1,7,2,3,4,5,6]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>100000 [1,7,2,3,4,6,5]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,7,2,3,5,4,6]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,7,2,3,5,6,4]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,7,2,3,6,4,5]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,7,2,3,6,5,4]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,7,2,4,3,5,6]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,7,2,4,3,6,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,7,2,4,5,3,6]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,7,2,4,5,6,3]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,7,2,4,6,3,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,7,2,4,6,5,3]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,7,2,5,3,4,6]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,7,2,5,3,6,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,7,2,5,4,3,6]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,7,2,5,4,6,3]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,7,2,5,6,3,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,7,2,5,6,4,3]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,7,2,6,3,4,5]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,7,2,6,3,5,4]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,7,2,6,4,3,5]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,7,2,6,4,5,3]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,7,2,6,5,3,4]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,7,2,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [1,7,3,2,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,7,3,2,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,7,3,2,5,4,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,7,3,2,5,6,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,7,3,2,6,4,5]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,7,3,2,6,5,4]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,7,3,4,2,5,6]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [1,7,3,4,2,6,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,7,3,4,5,2,6]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [1,7,3,4,6,2,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,7,3,5,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,7,3,5,2,6,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,7,3,5,4,2,6]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,7,3,5,6,2,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,7,3,5,6,4,2]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,7,3,6,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,7,3,6,2,5,4]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,7,3,6,4,2,5]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,7,3,6,4,5,2]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,7,3,6,5,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [1,7,4,2,3,5,6]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,7,4,2,3,6,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,7,4,2,5,3,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,7,4,2,5,6,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,7,4,2,6,3,5]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,7,4,2,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,7,4,3,2,5,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,7,4,3,2,6,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,7,4,3,5,2,6]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,7,4,3,6,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,7,4,5,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,7,4,5,2,6,3]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [1,7,4,5,3,2,6]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [1,7,4,5,3,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [1,7,4,5,6,2,3]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [1,7,4,5,6,3,2]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [1,7,4,6,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,7,4,6,2,5,3]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,7,4,6,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,7,4,6,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,7,4,6,5,2,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,7,4,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [1,7,5,2,3,4,6]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,7,5,2,3,6,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [1,7,5,2,4,3,6]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,7,5,2,4,6,3]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,7,5,2,6,3,4]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [1,7,5,2,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,7,5,3,2,4,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,7,5,3,2,6,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,7,5,3,4,2,6]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,7,5,3,4,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,7,5,3,6,2,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,7,5,3,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [1,7,5,4,2,3,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,7,5,4,2,6,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,7,5,4,3,2,6]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [1,7,5,4,6,2,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,7,5,4,6,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [1,7,5,6,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [1,7,5,6,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,7,5,6,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [1,7,5,6,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [1,7,5,6,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [1,7,6,2,3,4,5]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [1,7,6,2,3,5,4]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,7,6,2,4,3,5]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,7,6,2,4,5,3]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,7,6,2,5,3,4]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,7,6,2,5,4,3]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [1,7,6,3,2,4,5]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,7,6,3,2,5,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,7,6,3,4,2,5]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [1,7,6,3,4,5,2]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [1,7,6,3,5,2,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,7,6,3,5,4,2]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [1,7,6,4,2,3,5]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,7,6,4,2,5,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [1,7,6,4,3,2,5]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [1,7,6,4,3,5,2]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [1,7,6,4,5,2,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [1,7,6,5,2,3,4]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [1,7,6,5,2,4,3]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [1,7,6,5,3,2,4]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [1,7,6,5,3,4,2]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [1,7,6,5,4,2,3]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>111110 [2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>100000 [2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [2,1,3,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [2,1,3,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [2,1,3,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [2,1,3,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [2,1,3,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [2,1,3,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [2,1,3,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [2,1,3,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [2,1,3,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [2,1,3,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [2,1,3,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [2,1,3,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [2,1,3,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [2,1,3,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [2,1,4,3,6,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [2,1,4,3,7,5,6]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [2,1,4,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [2,1,4,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [2,1,4,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [2,1,4,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [2,1,4,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [2,1,4,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [2,1,4,6,3,5,7]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [2,1,4,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [2,1,4,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [2,1,4,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [2,1,4,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [2,1,4,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [2,1,4,7,3,5,6]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [2,1,4,7,3,6,5]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [2,1,4,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [2,1,4,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [2,1,4,7,6,3,5]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [2,1,4,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [2,1,5,3,4,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [2,1,5,3,4,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [2,1,5,3,6,4,7]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [2,1,5,3,6,7,4]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [2,1,5,3,7,4,6]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [2,1,5,3,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [2,1,5,4,6,3,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [2,1,5,4,6,7,3]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [2,1,5,4,7,3,6]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [2,1,5,4,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [2,1,5,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [2,1,5,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [2,1,5,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [2,1,5,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [2,1,5,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [2,1,5,7,3,4,6]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [2,1,5,7,4,3,6]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [2,1,5,7,4,6,3]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [2,1,5,7,6,3,4]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [2,1,5,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [2,1,6,3,4,5,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [2,1,6,3,4,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [2,1,6,3,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [2,1,6,3,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [2,1,6,3,7,4,5]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [2,1,6,3,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [2,1,6,4,3,5,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [2,1,6,4,3,7,5]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [2,1,6,4,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [2,1,6,4,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [2,1,6,5,3,4,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [2,1,6,5,3,7,4]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [2,1,6,5,4,7,3]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [2,1,6,5,7,3,4]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [2,1,6,5,7,4,3]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [2,1,6,7,3,4,5]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [2,1,6,7,3,5,4]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [2,1,6,7,4,3,5]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [2,1,6,7,4,5,3]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [2,1,6,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [2,1,7,3,4,5,6]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [2,1,7,3,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [2,1,7,3,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [2,1,7,3,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [2,1,7,3,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [2,1,7,3,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [2,1,7,4,3,5,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [2,1,7,4,3,6,5]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [2,1,7,4,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [2,1,7,4,6,3,5]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [2,1,7,5,3,4,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [2,1,7,5,3,6,4]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [2,1,7,5,4,3,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [2,1,7,5,6,3,4]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [2,1,7,5,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [2,1,7,6,3,4,5]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [2,1,7,6,3,5,4]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [2,1,7,6,4,3,5]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [2,1,7,6,4,5,3]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [2,1,7,6,5,3,4]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [2,3,1,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>100000 [2,3,1,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [2,3,1,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [2,3,1,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [2,3,1,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [2,3,1,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,3,1,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [2,3,1,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [2,3,1,5,6,4,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [2,3,1,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [2,3,1,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [2,3,1,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,3,1,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [2,3,1,6,4,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [2,3,1,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,3,1,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,3,1,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [2,3,1,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,3,1,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [2,3,1,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,3,1,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,3,1,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,3,1,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,3,1,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,3,4,1,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>100000 [2,3,4,1,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [2,3,4,1,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [2,3,4,1,6,7,5]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [2,3,4,1,7,5,6]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [2,3,4,1,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,3,4,5,1,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>100000 [2,3,4,5,1,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [2,3,4,5,6,1,7]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>100000 [2,3,4,5,6,7,1]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>100000 [2,3,4,5,7,1,6]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [2,3,4,5,7,6,1]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [2,3,4,6,1,5,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [2,3,4,6,1,7,5]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [2,3,4,6,5,1,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [2,3,4,6,5,7,1]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [2,3,4,6,7,1,5]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [2,3,4,6,7,5,1]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [2,3,4,7,1,5,6]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [2,3,4,7,1,6,5]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,3,4,7,5,1,6]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [2,3,4,7,5,6,1]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [2,3,4,7,6,1,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,3,4,7,6,5,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [2,3,5,1,4,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [2,3,5,1,4,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [2,3,5,1,6,4,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [2,3,5,1,6,7,4]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [2,3,5,1,7,4,6]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [2,3,5,1,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,3,5,4,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [2,3,5,4,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,3,5,4,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [2,3,5,4,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [2,3,5,4,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,3,5,4,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,3,5,6,1,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [2,3,5,6,1,7,4]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [2,3,5,6,4,1,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [2,3,5,6,4,7,1]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [2,3,5,6,7,1,4]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [2,3,5,6,7,4,1]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [2,3,5,7,1,4,6]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [2,3,5,7,1,6,4]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,3,5,7,4,1,6]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,3,5,7,4,6,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,3,5,7,6,1,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,3,5,7,6,4,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [2,3,6,1,4,5,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [2,3,6,1,4,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [2,3,6,1,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,3,6,1,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,3,6,1,7,4,5]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [2,3,6,1,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,3,6,4,1,5,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [2,3,6,4,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,3,6,4,5,1,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [2,3,6,4,5,7,1]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [2,3,6,4,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,3,6,4,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,3,6,5,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,3,6,5,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,3,6,5,4,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [2,3,6,5,4,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [2,3,6,5,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,3,6,5,7,4,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [2,3,6,7,1,4,5]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [2,3,6,7,1,5,4]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,3,6,7,4,1,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,3,6,7,4,5,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,3,6,7,5,1,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,3,6,7,5,4,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [2,3,7,1,4,5,6]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [2,3,7,1,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,3,7,1,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,3,7,1,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,3,7,1,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,3,7,1,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,3,7,4,1,5,6]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [2,3,7,4,1,6,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,3,7,4,5,1,6]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [2,3,7,4,5,6,1]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [2,3,7,4,6,1,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,3,7,4,6,5,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [2,3,7,5,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,3,7,5,1,6,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,3,7,5,4,1,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [2,3,7,5,4,6,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [2,3,7,5,6,1,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,3,7,5,6,4,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [2,3,7,6,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,3,7,6,1,5,4]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,3,7,6,4,1,5]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [2,3,7,6,4,5,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [2,3,7,6,5,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,3,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [2,4,1,3,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [2,4,1,3,5,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [2,4,1,3,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [2,4,1,3,6,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [2,4,1,3,7,5,6]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [2,4,1,3,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [2,4,1,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [2,4,1,5,3,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [2,4,1,5,6,3,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [2,4,1,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [2,4,1,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [2,4,1,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,4,1,6,3,5,7]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [2,4,1,6,3,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [2,4,1,6,5,3,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,4,1,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,4,1,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [2,4,1,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,4,1,7,3,5,6]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [2,4,1,7,3,6,5]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [2,4,1,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,4,1,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,4,1,7,6,3,5]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [2,4,1,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,4,3,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [2,4,3,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,4,3,1,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,4,3,1,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,4,3,1,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,4,3,1,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [2,4,3,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [2,4,3,5,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,4,3,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [2,4,3,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [2,4,3,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,4,3,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,4,3,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,4,3,6,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,4,3,6,5,1,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,4,3,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,4,3,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,4,3,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,4,3,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,4,3,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [2,4,3,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,4,3,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,4,3,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [2,4,3,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,4,5,1,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [2,4,5,1,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [2,4,5,1,6,3,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [2,4,5,1,6,7,3]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [2,4,5,1,7,3,6]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [2,4,5,1,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,4,5,3,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [2,4,5,3,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,4,5,3,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [2,4,5,3,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [2,4,5,3,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,4,5,3,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,4,5,6,1,3,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [2,4,5,6,1,7,3]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [2,4,5,6,3,1,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [2,4,5,6,3,7,1]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [2,4,5,6,7,1,3]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [2,4,5,6,7,3,1]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [2,4,5,7,1,3,6]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [2,4,5,7,1,6,3]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,4,5,7,3,1,6]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,4,5,7,3,6,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,4,5,7,6,1,3]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,4,5,7,6,3,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [2,4,6,1,3,5,7]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [2,4,6,1,3,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [2,4,6,1,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,4,6,1,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,4,6,1,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [2,4,6,1,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,4,6,3,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,4,6,3,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,4,6,3,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,4,6,3,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,4,6,3,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,4,6,3,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,4,6,5,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,4,6,5,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,4,6,5,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [2,4,6,5,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [2,4,6,5,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,4,6,5,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [2,4,6,7,1,3,5]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [2,4,6,7,1,5,3]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,4,6,7,3,1,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,4,6,7,3,5,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,4,6,7,5,1,3]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,4,6,7,5,3,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [2,4,7,1,3,5,6]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [2,4,7,1,3,6,5]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [2,4,7,1,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,4,7,1,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,4,7,1,6,3,5]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [2,4,7,1,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,4,7,3,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,4,7,3,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [2,4,7,3,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,4,7,3,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,4,7,3,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [2,4,7,3,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,4,7,5,1,3,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,4,7,5,1,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,4,7,5,3,1,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [2,4,7,5,3,6,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [2,4,7,5,6,1,3]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,4,7,5,6,3,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [2,4,7,6,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [2,4,7,6,1,5,3]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,4,7,6,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,4,7,6,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,4,7,6,5,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,4,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [2,5,1,3,4,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [2,5,1,3,4,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [2,5,1,3,6,4,7]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [2,5,1,3,6,7,4]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [2,5,1,3,7,4,6]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [2,5,1,3,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [2,5,1,4,3,6,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [2,5,1,4,3,7,6]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [2,5,1,4,6,3,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [2,5,1,4,6,7,3]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [2,5,1,4,7,3,6]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [2,5,1,4,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [2,5,1,6,3,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [2,5,1,6,3,7,4]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [2,5,1,6,4,3,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,5,1,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,5,1,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [2,5,1,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,5,1,7,3,4,6]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [2,5,1,7,3,6,4]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [2,5,1,7,4,3,6]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [2,5,1,7,4,6,3]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [2,5,1,7,6,3,4]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [2,5,1,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,5,3,1,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [2,5,3,1,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,5,3,1,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,5,3,1,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,5,3,1,7,4,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,5,3,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [2,5,3,4,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [2,5,3,4,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,5,3,4,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [2,5,3,4,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [2,5,3,4,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,5,3,4,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,5,3,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,5,3,6,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,5,3,6,4,1,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,5,3,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,5,3,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,5,3,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,5,3,7,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,5,3,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [2,5,3,7,4,1,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,5,3,7,4,6,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,5,3,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [2,5,3,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,5,4,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [2,5,4,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [2,5,4,1,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,5,4,1,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,5,4,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [2,5,4,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [2,5,4,3,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [2,5,4,3,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,5,4,3,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [2,5,4,3,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [2,5,4,3,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,5,4,3,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,5,4,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,5,4,6,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,5,4,6,3,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [2,5,4,6,3,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [2,5,4,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,5,4,6,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [2,5,4,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [2,5,4,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [2,5,4,7,3,1,6]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,5,4,7,3,6,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,5,4,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [2,5,4,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,5,6,1,3,4,7]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [2,5,6,1,3,7,4]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [2,5,6,1,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,5,6,1,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,5,6,1,7,3,4]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [2,5,6,1,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,5,6,3,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,5,6,3,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,5,6,3,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,5,6,3,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,5,6,3,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,5,6,3,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [2,5,6,4,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,5,6,4,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [2,5,6,4,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [2,5,6,4,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [2,5,6,4,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [2,5,6,4,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [2,5,6,7,1,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [2,5,6,7,1,4,3]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,5,6,7,3,1,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,5,6,7,3,4,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [2,5,6,7,4,1,3]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [2,5,6,7,4,3,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [2,5,7,1,3,4,6]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [2,5,7,1,3,6,4]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [2,5,7,1,4,3,6]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [2,5,7,1,4,6,3]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [2,5,7,1,6,3,4]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [2,5,7,1,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,5,7,3,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,5,7,3,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [2,5,7,3,4,1,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,5,7,3,4,6,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,5,7,3,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [2,5,7,3,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,5,7,4,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [2,5,7,4,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [2,5,7,4,3,1,6]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,5,7,4,3,6,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,5,7,4,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [2,5,7,4,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,5,7,6,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [2,5,7,6,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,5,7,6,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,5,7,6,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,5,7,6,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,5,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [2,6,1,3,4,5,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [2,6,1,3,4,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [2,6,1,3,5,4,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [2,6,1,3,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [2,6,1,3,7,4,5]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [2,6,1,3,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [2,6,1,4,3,5,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [2,6,1,4,3,7,5]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [2,6,1,4,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [2,6,1,4,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [2,6,1,4,7,3,5]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [2,6,1,4,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [2,6,1,5,3,4,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [2,6,1,5,3,7,4]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [2,6,1,5,4,3,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [2,6,1,5,4,7,3]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [2,6,1,5,7,3,4]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [2,6,1,5,7,4,3]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [2,6,1,7,3,4,5]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [2,6,1,7,3,5,4]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [2,6,1,7,4,3,5]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [2,6,1,7,4,5,3]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [2,6,1,7,5,3,4]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [2,6,1,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,6,3,1,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [2,6,3,1,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,6,3,1,5,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,6,3,1,5,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,6,3,1,7,4,5]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,6,3,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [2,6,3,4,1,5,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [2,6,3,4,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,6,3,4,5,1,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [2,6,3,4,5,7,1]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [2,6,3,4,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,6,3,4,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [2,6,3,5,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,6,3,5,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,6,3,5,4,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [2,6,3,5,4,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [2,6,3,5,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,6,3,5,7,4,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [2,6,3,7,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,6,3,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [2,6,3,7,4,1,5]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [2,6,3,7,4,5,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [2,6,3,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [2,6,3,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,6,4,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [2,6,4,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [2,6,4,1,5,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,6,4,1,5,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,6,4,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [2,6,4,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [2,6,4,3,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [2,6,4,3,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,6,4,3,5,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [2,6,4,3,5,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [2,6,4,3,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,6,4,3,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,6,4,5,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,6,4,5,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,6,4,5,3,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [2,6,4,5,3,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [2,6,4,5,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,6,4,5,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [2,6,4,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [2,6,4,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [2,6,4,7,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,6,4,7,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,6,4,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [2,6,4,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [2,6,5,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [2,6,5,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [2,6,5,1,4,3,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [2,6,5,1,4,7,3]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [2,6,5,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [2,6,5,1,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,6,5,3,1,4,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [2,6,5,3,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,6,5,3,4,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [2,6,5,3,4,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [2,6,5,3,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,6,5,3,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,6,5,4,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [2,6,5,4,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,6,5,4,3,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [2,6,5,4,3,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [2,6,5,4,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,6,5,4,7,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [2,6,5,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [2,6,5,7,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,6,5,7,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,6,5,7,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,6,5,7,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,6,5,7,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [2,6,7,1,3,4,5]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [2,6,7,1,3,5,4]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [2,6,7,1,4,3,5]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [2,6,7,1,4,5,3]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [2,6,7,1,5,3,4]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [2,6,7,1,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,6,7,3,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [2,6,7,3,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [2,6,7,3,4,1,5]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [2,6,7,3,4,5,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [2,6,7,3,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [2,6,7,3,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,6,7,4,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [2,6,7,4,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [2,6,7,4,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,6,7,4,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,6,7,4,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [2,6,7,4,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [2,6,7,5,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [2,6,7,5,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,6,7,5,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,6,7,5,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [2,6,7,5,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [2,6,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [2,7,1,3,4,5,6]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [2,7,1,3,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [2,7,1,3,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [2,7,1,3,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [2,7,1,3,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [2,7,1,3,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [2,7,1,4,3,5,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [2,7,1,4,3,6,5]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [2,7,1,4,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [2,7,1,4,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [2,7,1,4,6,3,5]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [2,7,1,4,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [2,7,1,5,3,4,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [2,7,1,5,3,6,4]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [2,7,1,5,4,3,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [2,7,1,5,4,6,3]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [2,7,1,5,6,3,4]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [2,7,1,5,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [2,7,1,6,3,4,5]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [2,7,1,6,3,5,4]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [2,7,1,6,4,3,5]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [2,7,1,6,4,5,3]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [2,7,1,6,5,3,4]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [2,7,1,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [2,7,3,1,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [2,7,3,1,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,7,3,1,5,4,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,7,3,1,5,6,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,7,3,1,6,4,5]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,7,3,1,6,5,4]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,7,3,4,1,5,6]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [2,7,3,4,1,6,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,7,3,4,5,1,6]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [2,7,3,4,5,6,1]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [2,7,3,4,6,1,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,7,3,4,6,5,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [2,7,3,5,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,7,3,5,1,6,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,7,3,5,4,1,6]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [2,7,3,5,4,6,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [2,7,3,5,6,1,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,7,3,5,6,4,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [2,7,3,6,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,7,3,6,1,5,4]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,7,3,6,4,1,5]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [2,7,3,6,4,5,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [2,7,3,6,5,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,7,3,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [2,7,4,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [2,7,4,1,3,6,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [2,7,4,1,5,3,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [2,7,4,1,5,6,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [2,7,4,1,6,3,5]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [2,7,4,1,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,7,4,3,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [2,7,4,3,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,7,4,3,5,1,6]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [2,7,4,3,5,6,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [2,7,4,3,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,7,4,3,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,7,4,5,1,3,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [2,7,4,5,1,6,3]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [2,7,4,5,3,1,6]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [2,7,4,5,3,6,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [2,7,4,5,6,1,3]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [2,7,4,5,6,3,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [2,7,4,6,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [2,7,4,6,1,5,3]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,7,4,6,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,7,4,6,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,7,4,6,5,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,7,4,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [2,7,5,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [2,7,5,1,3,6,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [2,7,5,1,4,3,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [2,7,5,1,4,6,3]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [2,7,5,1,6,3,4]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [2,7,5,1,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,7,5,3,1,4,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [2,7,5,3,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,7,5,3,4,1,6]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [2,7,5,3,4,6,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [2,7,5,3,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,7,5,3,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [2,7,5,4,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [2,7,5,4,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,7,5,4,3,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [2,7,5,4,3,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [2,7,5,4,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,7,5,4,6,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [2,7,5,6,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [2,7,5,6,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,7,5,6,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,7,5,6,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [2,7,5,6,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [2,7,5,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [2,7,6,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [2,7,6,1,3,5,4]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [2,7,6,1,4,3,5]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [2,7,6,1,4,5,3]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [2,7,6,1,5,3,4]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [2,7,6,1,5,4,3]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [2,7,6,3,1,4,5]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [2,7,6,3,1,5,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,7,6,3,4,1,5]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [2,7,6,3,4,5,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [2,7,6,3,5,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,7,6,3,5,4,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [2,7,6,4,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [2,7,6,4,1,5,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [2,7,6,4,3,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [2,7,6,4,3,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [2,7,6,4,5,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [2,7,6,4,5,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [2,7,6,5,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [2,7,6,5,1,4,3]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [2,7,6,5,3,1,4]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [2,7,6,5,3,4,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [2,7,6,5,4,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [2,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>111110 [3,1,2,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>100000 [3,1,2,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [3,1,2,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [3,1,2,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [3,1,2,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [3,1,2,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,1,2,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [3,1,2,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [3,1,2,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [3,1,2,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [3,1,2,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [3,1,2,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,1,2,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [3,1,2,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [3,1,2,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,1,2,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,1,2,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [3,1,2,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,1,2,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [3,1,2,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,1,2,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,1,2,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,1,2,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,1,2,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [3,1,4,2,5,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [3,1,4,2,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [3,1,4,2,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [3,1,4,2,6,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [3,1,4,2,7,5,6]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [3,1,4,2,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [3,1,4,5,2,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [3,1,4,5,2,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [3,1,4,5,6,2,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [3,1,4,5,6,7,2]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [3,1,4,5,7,2,6]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [3,1,4,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,1,4,6,2,5,7]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [3,1,4,6,2,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [3,1,4,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,1,4,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,1,4,6,7,2,5]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [3,1,4,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,1,4,7,2,5,6]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [3,1,4,7,2,6,5]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [3,1,4,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,1,4,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,1,4,7,6,2,5]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [3,1,4,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [3,1,5,2,4,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [3,1,5,2,4,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [3,1,5,2,6,4,7]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [3,1,5,2,6,7,4]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [3,1,5,2,7,4,6]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [3,1,5,2,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [3,1,5,4,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,1,5,4,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [3,1,5,4,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,1,5,4,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,1,5,4,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [3,1,5,4,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [3,1,5,6,2,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [3,1,5,6,2,7,4]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [3,1,5,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,1,5,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,1,5,6,7,2,4]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [3,1,5,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,1,5,7,2,4,6]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [3,1,5,7,2,6,4]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [3,1,5,7,4,2,6]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [3,1,5,7,4,6,2]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [3,1,5,7,6,2,4]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [3,1,5,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [3,1,6,2,4,5,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [3,1,6,2,4,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [3,1,6,2,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,1,6,2,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,1,6,2,7,4,5]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [3,1,6,2,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [3,1,6,4,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,1,6,4,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [3,1,6,4,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,1,6,4,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,1,6,4,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [3,1,6,4,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [3,1,6,5,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,1,6,5,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [3,1,6,5,4,2,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [3,1,6,5,4,7,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [3,1,6,5,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [3,1,6,5,7,4,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [3,1,6,7,2,4,5]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [3,1,6,7,2,5,4]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [3,1,6,7,4,2,5]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [3,1,6,7,4,5,2]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [3,1,6,7,5,2,4]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [3,1,6,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [3,1,7,2,4,5,6]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [3,1,7,2,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,1,7,2,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,1,7,2,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,1,7,2,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,1,7,2,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [3,1,7,4,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,1,7,4,2,6,5]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [3,1,7,4,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,1,7,4,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,1,7,4,6,2,5]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [3,1,7,4,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [3,1,7,5,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,1,7,5,2,6,4]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [3,1,7,5,4,2,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [3,1,7,5,4,6,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [3,1,7,5,6,2,4]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [3,1,7,5,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [3,1,7,6,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,1,7,6,2,5,4]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [3,1,7,6,4,2,5]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [3,1,7,6,4,5,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [3,1,7,6,5,2,4]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [3,1,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [3,2,1,4,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [3,2,1,4,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [3,2,1,5,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [3,2,1,5,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [3,2,1,5,7,4,6]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [3,2,1,5,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [3,2,1,6,4,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [3,2,1,6,4,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [3,2,1,6,5,7,4]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [3,2,1,6,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [3,2,1,7,4,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [3,2,1,7,4,6,5]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [3,2,1,7,5,4,6]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [3,2,1,7,6,4,5]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [3,2,4,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [3,2,4,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [3,2,4,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [3,2,4,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [3,2,4,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [3,2,4,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [3,2,4,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [3,2,4,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [3,2,4,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [3,2,4,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [3,2,4,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [3,2,4,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,2,4,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [3,2,4,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [3,2,4,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,2,4,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,2,4,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [3,2,4,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,2,4,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [3,2,4,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [3,2,4,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,2,4,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,2,4,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [3,2,4,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [3,2,5,1,4,6,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [3,2,5,1,4,7,6]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [3,2,5,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [3,2,5,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [3,2,5,1,7,4,6]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [3,2,5,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [3,2,5,4,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,2,5,4,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [3,2,5,4,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,2,5,4,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,2,5,4,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [3,2,5,4,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [3,2,5,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [3,2,5,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [3,2,5,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [3,2,5,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [3,2,5,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [3,2,5,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [3,2,5,7,1,4,6]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [3,2,5,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [3,2,5,7,4,1,6]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [3,2,5,7,4,6,1]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [3,2,5,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [3,2,5,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [3,2,6,1,4,5,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [3,2,6,1,4,7,5]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [3,2,6,1,5,4,7]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [3,2,6,1,5,7,4]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [3,2,6,1,7,4,5]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [3,2,6,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [3,2,6,4,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,2,6,4,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [3,2,6,4,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,2,6,4,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,2,6,4,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [3,2,6,4,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [3,2,6,5,1,4,7]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [3,2,6,5,1,7,4]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [3,2,6,5,4,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [3,2,6,5,4,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [3,2,6,5,7,1,4]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [3,2,6,5,7,4,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [3,2,6,7,1,4,5]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [3,2,6,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [3,2,6,7,4,1,5]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [3,2,6,7,4,5,1]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [3,2,6,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [3,2,6,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [3,2,7,1,4,5,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [3,2,7,1,4,6,5]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [3,2,7,1,5,4,6]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [3,2,7,1,5,6,4]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [3,2,7,1,6,4,5]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [3,2,7,1,6,5,4]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [3,2,7,4,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [3,2,7,4,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [3,2,7,4,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [3,2,7,4,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [3,2,7,4,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [3,2,7,4,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [3,2,7,5,1,4,6]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [3,2,7,5,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [3,2,7,5,4,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [3,2,7,5,4,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [3,2,7,5,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [3,2,7,5,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [3,2,7,6,1,4,5]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [3,2,7,6,1,5,4]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [3,2,7,6,4,1,5]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [3,2,7,6,4,5,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [3,2,7,6,5,1,4]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [3,2,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [3,4,1,2,6,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [3,4,1,2,7,5,6]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [3,4,1,5,2,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [3,4,1,5,2,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [3,4,1,5,6,2,7]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [3,4,1,5,6,7,2]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [3,4,1,5,7,2,6]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [3,4,1,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [3,4,1,6,2,5,7]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [3,4,1,6,2,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [3,4,1,6,5,2,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [3,4,1,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [3,4,1,6,7,2,5]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [3,4,1,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [3,4,1,7,2,5,6]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [3,4,1,7,2,6,5]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [3,4,1,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [3,4,1,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [3,4,1,7,6,2,5]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [3,4,1,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [3,4,2,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [3,4,2,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [3,4,2,1,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [3,4,2,1,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [3,4,2,1,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [3,4,2,1,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [3,4,2,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [3,4,2,5,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [3,4,2,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [3,4,2,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [3,4,2,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [3,4,2,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [3,4,2,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [3,4,2,6,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [3,4,2,6,5,1,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [3,4,2,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [3,4,2,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [3,4,2,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [3,4,2,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [3,4,2,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [3,4,2,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [3,4,2,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [3,4,2,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [3,4,2,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [3,4,5,1,2,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [3,4,5,1,2,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [3,4,5,1,6,2,7]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [3,4,5,1,6,7,2]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [3,4,5,1,7,2,6]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [3,4,5,1,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [3,4,5,2,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [3,4,5,2,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [3,4,5,2,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [3,4,5,2,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [3,4,5,2,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [3,4,5,2,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [3,4,5,6,1,2,7]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [3,4,5,6,1,7,2]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [3,4,5,6,2,1,7]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [3,4,5,6,2,7,1]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [3,4,5,6,7,1,2]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [3,4,5,6,7,2,1]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [3,4,5,7,1,2,6]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [3,4,5,7,1,6,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [3,4,5,7,2,1,6]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [3,4,5,7,2,6,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [3,4,5,7,6,1,2]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [3,4,5,7,6,2,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [3,4,6,1,2,5,7]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [3,4,6,1,2,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [3,4,6,1,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [3,4,6,1,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [3,4,6,1,7,2,5]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [3,4,6,1,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [3,4,6,2,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [3,4,6,2,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [3,4,6,2,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [3,4,6,2,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [3,4,6,2,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [3,4,6,2,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [3,4,6,5,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [3,4,6,5,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [3,4,6,5,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [3,4,6,5,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [3,4,6,5,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [3,4,6,5,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [3,4,6,7,1,2,5]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [3,4,6,7,1,5,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [3,4,6,7,2,1,5]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [3,4,6,7,2,5,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [3,4,6,7,5,1,2]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [3,4,6,7,5,2,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [3,4,7,1,2,5,6]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [3,4,7,1,2,6,5]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [3,4,7,1,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [3,4,7,1,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [3,4,7,1,6,2,5]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [3,4,7,1,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [3,4,7,2,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [3,4,7,2,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [3,4,7,2,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [3,4,7,2,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [3,4,7,2,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [3,4,7,2,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [3,4,7,5,1,2,6]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [3,4,7,5,1,6,2]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [3,4,7,5,2,1,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [3,4,7,5,2,6,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [3,4,7,5,6,1,2]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [3,4,7,5,6,2,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [3,4,7,6,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [3,4,7,6,1,5,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [3,4,7,6,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [3,4,7,6,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [3,4,7,6,5,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [3,4,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [3,5,1,2,4,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [3,5,1,2,4,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [3,5,1,2,6,4,7]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [3,5,1,2,6,7,4]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [3,5,1,2,7,4,6]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [3,5,1,2,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [3,5,1,4,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,5,1,4,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,5,1,4,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [3,5,1,4,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [3,5,1,6,2,7,4]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [3,5,1,6,4,2,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [3,5,1,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [3,5,1,6,7,2,4]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [3,5,1,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [3,5,1,7,2,4,6]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [3,5,1,7,4,2,6]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [3,5,1,7,4,6,2]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [3,5,1,7,6,2,4]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [3,5,1,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [3,5,2,1,4,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,5,2,1,4,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [3,5,2,1,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [3,5,2,1,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [3,5,2,1,7,4,6]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [3,5,2,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [3,5,2,4,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,5,2,4,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [3,5,2,4,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,5,2,4,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,5,2,4,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [3,5,2,4,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [3,5,2,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [3,5,2,6,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [3,5,2,6,4,1,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [3,5,2,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [3,5,2,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [3,5,2,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [3,5,2,7,1,4,6]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [3,5,2,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [3,5,2,7,4,1,6]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [3,5,2,7,4,6,1]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [3,5,2,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [3,5,2,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [3,5,4,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,5,4,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [3,5,4,1,6,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [3,5,4,1,6,7,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [3,5,4,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [3,5,4,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [3,5,4,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [3,5,4,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [3,5,4,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [3,5,4,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [3,5,4,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [3,5,4,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [3,5,4,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [3,5,4,6,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [3,5,4,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [3,5,4,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [3,5,4,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [3,5,4,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [3,5,4,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [3,5,4,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [3,5,4,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [3,5,4,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [3,5,4,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [3,5,4,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [3,5,6,1,2,4,7]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [3,5,6,1,2,7,4]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [3,5,6,1,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [3,5,6,1,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [3,5,6,1,7,2,4]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [3,5,6,1,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [3,5,6,2,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [3,5,6,2,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [3,5,6,2,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [3,5,6,2,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [3,5,6,2,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [3,5,6,2,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [3,5,6,4,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [3,5,6,4,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [3,5,6,4,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [3,5,6,4,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [3,5,6,4,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [3,5,6,4,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [3,5,6,7,1,2,4]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [3,5,6,7,1,4,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [3,5,6,7,2,1,4]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [3,5,6,7,2,4,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [3,5,6,7,4,1,2]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [3,5,6,7,4,2,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [3,5,7,1,2,4,6]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [3,5,7,1,2,6,4]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [3,5,7,1,4,2,6]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [3,5,7,1,4,6,2]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [3,5,7,1,6,2,4]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [3,5,7,1,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [3,5,7,2,1,4,6]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [3,5,7,2,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [3,5,7,2,4,1,6]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [3,5,7,2,4,6,1]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [3,5,7,2,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [3,5,7,2,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [3,5,7,4,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [3,5,7,4,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [3,5,7,4,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [3,5,7,4,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [3,5,7,4,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [3,5,7,4,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [3,5,7,6,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [3,5,7,6,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [3,5,7,6,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [3,5,7,6,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [3,5,7,6,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [3,5,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [3,6,1,2,4,5,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [3,6,1,2,4,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [3,6,1,2,5,4,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,6,1,2,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,6,1,2,7,4,5]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [3,6,1,2,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [3,6,1,4,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,6,1,4,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,6,1,4,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [3,6,1,4,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [3,6,1,5,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,6,1,5,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [3,6,1,5,4,7,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [3,6,1,5,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [3,6,1,5,7,4,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [3,6,1,7,2,4,5]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [3,6,1,7,2,5,4]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [3,6,1,7,4,2,5]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [3,6,1,7,4,5,2]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [3,6,1,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [3,6,2,1,4,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,6,2,1,4,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [3,6,2,1,5,4,7]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [3,6,2,1,5,7,4]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [3,6,2,1,7,4,5]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [3,6,2,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [3,6,2,4,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,6,2,4,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [3,6,2,4,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,6,2,4,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,6,2,4,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [3,6,2,4,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [3,6,2,5,1,4,7]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [3,6,2,5,1,7,4]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [3,6,2,5,4,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [3,6,2,5,4,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [3,6,2,5,7,1,4]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [3,6,2,5,7,4,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [3,6,2,7,1,4,5]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [3,6,2,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [3,6,2,7,4,1,5]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [3,6,2,7,4,5,1]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [3,6,2,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [3,6,2,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [3,6,4,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,6,4,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [3,6,4,1,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [3,6,4,1,5,7,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [3,6,4,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [3,6,4,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [3,6,4,2,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [3,6,4,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [3,6,4,2,5,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [3,6,4,2,5,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [3,6,4,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [3,6,4,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [3,6,4,5,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [3,6,4,5,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [3,6,4,5,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [3,6,4,5,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [3,6,4,5,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [3,6,4,5,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [3,6,4,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [3,6,4,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [3,6,4,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [3,6,4,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [3,6,4,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [3,6,4,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [3,6,5,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,6,5,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [3,6,5,1,4,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [3,6,5,1,4,7,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [3,6,5,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [3,6,5,1,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [3,6,5,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [3,6,5,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [3,6,5,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [3,6,5,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [3,6,5,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [3,6,5,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [3,6,5,4,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [3,6,5,4,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [3,6,5,4,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [3,6,5,4,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [3,6,5,4,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [3,6,5,4,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [3,6,5,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [3,6,5,7,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [3,6,5,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [3,6,5,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [3,6,5,7,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [3,6,5,7,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [3,6,7,1,2,4,5]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [3,6,7,1,2,5,4]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [3,6,7,1,4,2,5]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [3,6,7,1,4,5,2]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [3,6,7,1,5,2,4]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [3,6,7,1,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [3,6,7,2,1,4,5]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [3,6,7,2,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [3,6,7,2,4,1,5]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [3,6,7,2,4,5,1]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [3,6,7,2,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [3,6,7,2,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [3,6,7,4,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [3,6,7,4,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [3,6,7,4,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [3,6,7,4,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [3,6,7,4,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [3,6,7,4,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [3,6,7,5,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [3,6,7,5,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [3,6,7,5,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [3,6,7,5,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [3,6,7,5,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [3,6,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [3,7,1,2,4,5,6]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [3,7,1,2,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,7,1,2,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,7,1,2,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,7,1,2,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,7,1,2,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [3,7,1,4,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,7,1,4,2,6,5]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [3,7,1,4,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,7,1,4,6,2,5]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [3,7,1,5,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,7,1,5,2,6,4]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [3,7,1,5,4,2,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [3,7,1,5,6,2,4]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [3,7,1,5,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [3,7,1,6,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,7,1,6,2,5,4]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [3,7,1,6,4,2,5]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [3,7,1,6,4,5,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [3,7,1,6,5,2,4]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [3,7,2,1,4,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,7,2,1,4,6,5]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [3,7,2,1,5,4,6]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [3,7,2,1,5,6,4]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [3,7,2,1,6,4,5]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [3,7,2,1,6,5,4]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [3,7,2,4,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [3,7,2,4,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [3,7,2,4,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [3,7,2,4,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [3,7,2,4,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [3,7,2,4,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [3,7,2,5,1,4,6]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [3,7,2,5,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [3,7,2,5,4,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [3,7,2,5,4,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [3,7,2,5,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [3,7,2,5,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [3,7,2,6,1,4,5]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [3,7,2,6,1,5,4]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [3,7,2,6,4,1,5]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [3,7,2,6,4,5,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [3,7,2,6,5,1,4]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [3,7,2,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [3,7,4,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,7,4,1,2,6,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [3,7,4,1,5,2,6]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [3,7,4,1,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [3,7,4,1,6,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [3,7,4,1,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [3,7,4,2,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [3,7,4,2,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [3,7,4,2,5,1,6]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [3,7,4,2,5,6,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [3,7,4,2,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [3,7,4,2,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [3,7,4,5,1,2,6]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [3,7,4,5,1,6,2]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [3,7,4,5,2,1,6]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [3,7,4,5,2,6,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [3,7,4,5,6,1,2]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [3,7,4,5,6,2,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [3,7,4,6,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [3,7,4,6,1,5,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [3,7,4,6,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [3,7,4,6,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [3,7,4,6,5,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [3,7,4,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [3,7,5,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,7,5,1,2,6,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [3,7,5,1,4,2,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [3,7,5,1,4,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [3,7,5,1,6,2,4]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [3,7,5,1,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [3,7,5,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [3,7,5,2,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [3,7,5,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [3,7,5,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [3,7,5,2,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [3,7,5,2,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [3,7,5,4,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [3,7,5,4,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [3,7,5,4,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [3,7,5,4,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [3,7,5,4,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [3,7,5,4,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [3,7,5,6,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [3,7,5,6,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [3,7,5,6,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [3,7,5,6,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [3,7,5,6,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [3,7,5,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [3,7,6,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [3,7,6,1,2,5,4]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [3,7,6,1,4,2,5]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [3,7,6,1,4,5,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [3,7,6,1,5,2,4]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [3,7,6,1,5,4,2]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [3,7,6,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [3,7,6,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [3,7,6,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [3,7,6,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [3,7,6,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [3,7,6,2,5,4,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [3,7,6,4,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [3,7,6,4,1,5,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [3,7,6,4,2,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [3,7,6,4,2,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [3,7,6,4,5,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [3,7,6,4,5,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [3,7,6,5,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [3,7,6,5,1,4,2]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [3,7,6,5,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [3,7,6,5,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [3,7,6,5,4,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [3,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>111110 [4,1,2,3,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>100000 [4,1,2,3,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [4,1,2,3,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [4,1,2,3,6,7,5]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [4,1,2,3,7,5,6]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [4,1,2,3,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,1,2,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [4,1,2,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [4,1,2,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [4,1,2,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [4,1,2,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [4,1,2,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,1,2,6,3,5,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [4,1,2,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [4,1,2,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,1,2,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,1,2,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [4,1,2,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,1,2,7,3,5,6]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [4,1,2,7,3,6,5]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,1,2,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,1,2,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,1,2,7,6,3,5]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,1,2,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,1,3,2,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [4,1,3,2,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [4,1,3,2,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [4,1,3,2,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [4,1,3,2,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [4,1,3,2,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [4,1,3,5,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [4,1,3,5,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [4,1,3,5,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [4,1,3,5,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [4,1,3,5,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [4,1,3,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,1,3,6,2,5,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [4,1,3,6,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [4,1,3,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,1,3,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,1,3,6,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [4,1,3,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,1,3,7,2,5,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [4,1,3,7,2,6,5]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [4,1,3,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,1,3,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,1,3,7,6,2,5]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [4,1,3,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,1,5,2,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [4,1,5,2,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [4,1,5,2,6,3,7]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [4,1,5,2,6,7,3]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [4,1,5,2,7,3,6]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [4,1,5,2,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [4,1,5,3,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,1,5,3,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [4,1,5,3,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,1,5,3,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,1,5,3,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [4,1,5,3,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [4,1,5,6,2,3,7]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [4,1,5,6,2,7,3]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [4,1,5,6,3,2,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,1,5,6,3,7,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,1,5,6,7,2,3]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [4,1,5,6,7,3,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,1,5,7,2,3,6]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [4,1,5,7,2,6,3]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [4,1,5,7,3,2,6]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [4,1,5,7,3,6,2]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [4,1,5,7,6,2,3]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [4,1,5,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,1,6,2,3,5,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [4,1,6,2,3,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [4,1,6,2,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,1,6,2,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,1,6,2,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [4,1,6,2,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [4,1,6,3,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,1,6,3,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [4,1,6,3,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,1,6,3,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,1,6,3,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [4,1,6,3,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [4,1,6,5,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,1,6,5,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [4,1,6,5,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,1,6,5,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,1,6,5,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [4,1,6,5,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,1,6,7,2,3,5]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [4,1,6,7,2,5,3]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [4,1,6,7,3,2,5]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [4,1,6,7,3,5,2]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [4,1,6,7,5,2,3]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [4,1,6,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,1,7,2,3,5,6]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [4,1,7,2,3,6,5]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,1,7,2,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,1,7,2,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,1,7,2,6,3,5]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,1,7,2,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,1,7,3,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,1,7,3,2,6,5]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [4,1,7,3,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,1,7,3,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,1,7,3,6,2,5]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [4,1,7,3,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,1,7,5,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,1,7,5,2,6,3]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [4,1,7,5,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,1,7,5,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,1,7,5,6,2,3]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [4,1,7,5,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,1,7,6,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,1,7,6,2,5,3]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,1,7,6,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,1,7,6,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,1,7,6,5,2,3]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,1,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [4,2,1,3,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [4,2,1,3,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [4,2,1,3,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [4,2,1,3,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [4,2,1,3,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [4,2,1,3,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [4,2,1,5,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [4,2,1,5,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [4,2,1,5,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [4,2,1,5,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [4,2,1,5,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [4,2,1,5,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [4,2,1,6,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [4,2,1,6,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [4,2,1,6,5,3,7]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [4,2,1,6,5,7,3]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [4,2,1,6,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [4,2,1,6,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [4,2,1,7,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [4,2,1,7,3,6,5]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [4,2,1,7,5,3,6]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [4,2,1,7,5,6,3]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [4,2,1,7,6,3,5]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [4,2,1,7,6,5,3]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [4,2,3,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [4,2,3,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [4,2,3,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [4,2,3,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [4,2,3,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [4,2,3,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [4,2,3,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [4,2,3,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,2,3,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [4,2,3,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [4,2,3,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,2,3,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,2,3,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [4,2,3,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,2,3,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [4,2,3,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [4,2,3,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,2,3,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,2,3,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [4,2,3,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [4,2,5,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [4,2,5,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [4,2,5,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [4,2,5,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [4,2,5,3,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,2,5,3,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [4,2,5,3,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,2,5,3,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,2,5,3,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [4,2,5,3,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [4,2,5,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [4,2,5,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [4,2,5,6,3,1,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [4,2,5,6,3,7,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [4,2,5,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [4,2,5,6,7,3,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [4,2,5,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [4,2,5,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [4,2,5,7,3,1,6]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [4,2,5,7,3,6,1]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [4,2,5,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [4,2,5,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,2,6,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [4,2,6,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [4,2,6,1,5,7,3]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [4,2,6,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [4,2,6,3,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,2,6,3,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [4,2,6,3,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,2,6,3,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,2,6,3,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [4,2,6,3,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [4,2,6,5,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [4,2,6,5,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [4,2,6,5,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,2,6,5,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,2,6,5,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [4,2,6,5,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,2,6,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [4,2,6,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [4,2,6,7,3,1,5]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [4,2,6,7,3,5,1]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [4,2,6,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [4,2,6,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,2,7,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [4,2,7,1,3,6,5]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [4,2,7,1,5,3,6]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [4,2,7,1,6,3,5]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [4,2,7,3,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [4,2,7,3,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [4,2,7,3,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [4,2,7,3,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [4,2,7,3,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [4,2,7,3,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,2,7,5,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [4,2,7,5,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [4,2,7,5,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,2,7,5,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,2,7,5,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [4,2,7,5,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,2,7,6,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [4,2,7,6,1,5,3]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [4,2,7,6,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,2,7,6,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,2,7,6,5,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [4,2,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [4,3,1,2,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [4,3,1,2,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [4,3,1,2,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [4,3,1,2,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [4,3,1,2,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [4,3,1,2,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [4,3,1,5,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [4,3,1,5,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [4,3,1,5,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [4,3,1,5,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [4,3,1,5,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [4,3,1,5,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [4,3,1,6,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [4,3,1,6,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [4,3,1,6,5,2,7]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [4,3,1,6,5,7,2]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [4,3,1,6,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [4,3,1,6,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [4,3,1,7,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [4,3,1,7,2,6,5]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [4,3,1,7,5,2,6]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [4,3,1,7,5,6,2]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [4,3,1,7,6,2,5]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [4,3,1,7,6,5,2]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [4,3,2,1,6,7,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [4,3,2,1,7,5,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [4,3,2,5,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [4,3,2,5,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [4,3,2,5,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [4,3,2,5,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [4,3,2,5,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [4,3,2,5,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [4,3,2,6,1,5,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [4,3,2,6,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [4,3,2,6,5,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [4,3,2,6,5,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [4,3,2,6,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [4,3,2,6,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [4,3,2,7,1,5,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [4,3,2,7,1,6,5]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [4,3,2,7,5,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [4,3,2,7,5,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [4,3,2,7,6,1,5]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [4,3,2,7,6,5,1]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [4,3,5,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [4,3,5,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [4,3,5,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [4,3,5,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [4,3,5,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [4,3,5,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [4,3,5,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [4,3,5,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [4,3,5,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [4,3,5,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [4,3,5,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [4,3,5,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [4,3,5,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [4,3,5,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [4,3,5,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [4,3,5,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [4,3,5,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [4,3,5,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [4,3,5,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [4,3,5,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [4,3,5,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [4,3,5,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [4,3,5,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [4,3,5,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,3,6,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [4,3,6,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [4,3,6,1,5,2,7]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [4,3,6,1,5,7,2]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [4,3,6,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [4,3,6,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [4,3,6,2,1,5,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [4,3,6,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [4,3,6,2,5,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [4,3,6,2,5,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [4,3,6,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [4,3,6,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [4,3,6,5,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [4,3,6,5,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [4,3,6,5,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,3,6,5,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,3,6,5,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [4,3,6,5,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,3,6,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [4,3,6,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [4,3,6,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [4,3,6,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [4,3,6,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [4,3,6,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [4,3,7,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [4,3,7,1,2,6,5]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [4,3,7,1,5,2,6]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [4,3,7,1,5,6,2]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [4,3,7,1,6,2,5]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [4,3,7,1,6,5,2]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [4,3,7,2,1,5,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [4,3,7,2,1,6,5]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [4,3,7,2,5,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [4,3,7,2,5,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [4,3,7,2,6,1,5]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [4,3,7,2,6,5,1]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [4,3,7,5,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [4,3,7,5,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [4,3,7,5,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [4,3,7,5,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [4,3,7,5,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [4,3,7,5,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [4,3,7,6,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [4,3,7,6,1,5,2]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [4,3,7,6,2,1,5]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [4,3,7,6,2,5,1]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [4,3,7,6,5,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [4,3,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [4,5,1,2,3,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [4,5,1,2,3,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [4,5,1,2,6,3,7]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [4,5,1,2,6,7,3]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [4,5,1,2,7,3,6]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [4,5,1,2,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [4,5,1,3,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,5,1,3,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [4,5,1,3,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,5,1,3,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,5,1,3,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [4,5,1,3,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [4,5,1,6,2,3,7]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [4,5,1,6,2,7,3]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [4,5,1,6,3,2,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [4,5,1,6,3,7,2]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [4,5,1,6,7,2,3]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [4,5,1,6,7,3,2]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [4,5,1,7,2,3,6]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [4,5,1,7,2,6,3]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [4,5,1,7,3,2,6]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [4,5,1,7,3,6,2]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [4,5,1,7,6,2,3]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [4,5,1,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [4,5,2,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,5,2,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [4,5,2,1,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [4,5,2,1,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [4,5,2,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [4,5,2,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [4,5,2,3,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,5,2,3,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [4,5,2,3,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,5,2,3,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,5,2,3,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [4,5,2,3,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [4,5,2,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [4,5,2,6,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [4,5,2,6,3,1,7]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [4,5,2,6,3,7,1]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [4,5,2,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [4,5,2,6,7,3,1]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [4,5,2,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [4,5,2,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [4,5,2,7,3,1,6]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [4,5,2,7,3,6,1]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [4,5,2,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [4,5,2,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [4,5,3,1,6,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [4,5,3,1,6,7,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [4,5,3,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [4,5,3,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [4,5,3,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [4,5,3,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [4,5,3,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [4,5,3,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [4,5,3,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [4,5,3,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [4,5,3,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [4,5,3,6,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [4,5,3,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [4,5,3,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [4,5,3,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [4,5,3,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [4,5,3,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [4,5,3,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [4,5,3,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [4,5,3,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [4,5,3,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [4,5,3,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [4,5,6,1,2,7,3]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [4,5,6,1,3,2,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [4,5,6,1,3,7,2]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [4,5,6,1,7,2,3]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [4,5,6,1,7,3,2]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [4,5,6,2,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [4,5,6,2,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [4,5,6,2,3,1,7]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [4,5,6,2,3,7,1]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [4,5,6,2,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [4,5,6,2,7,3,1]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [4,5,6,3,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [4,5,6,3,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [4,5,6,3,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [4,5,6,3,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [4,5,6,3,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [4,5,6,3,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [4,5,6,7,1,2,3]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [4,5,6,7,1,3,2]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [4,5,6,7,2,1,3]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [4,5,6,7,2,3,1]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [4,5,6,7,3,1,2]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [4,5,6,7,3,2,1]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [4,5,7,1,2,3,6]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [4,5,7,1,3,2,6]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [4,5,7,1,3,6,2]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [4,5,7,1,6,2,3]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [4,5,7,1,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [4,5,7,2,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [4,5,7,2,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [4,5,7,2,3,1,6]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [4,5,7,2,3,6,1]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [4,5,7,2,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [4,5,7,2,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [4,5,7,3,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [4,5,7,3,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [4,5,7,3,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [4,5,7,3,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [4,5,7,3,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [4,5,7,3,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [4,5,7,6,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [4,5,7,6,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [4,5,7,6,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [4,5,7,6,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [4,5,7,6,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [4,5,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [4,6,1,2,3,5,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [4,6,1,2,3,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [4,6,1,2,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,6,1,2,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,6,1,2,7,3,5]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [4,6,1,2,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [4,6,1,3,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,6,1,3,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [4,6,1,3,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,6,1,3,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,6,1,3,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [4,6,1,3,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [4,6,1,5,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,6,1,5,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [4,6,1,5,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,6,1,5,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,6,1,5,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [4,6,1,5,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,6,1,7,2,3,5]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [4,6,1,7,2,5,3]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [4,6,1,7,3,2,5]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [4,6,1,7,3,5,2]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [4,6,1,7,5,2,3]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [4,6,1,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [4,6,2,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,6,2,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [4,6,2,1,5,3,7]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [4,6,2,1,5,7,3]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [4,6,2,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [4,6,2,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [4,6,2,3,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,6,2,3,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [4,6,2,3,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,6,2,3,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,6,2,3,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [4,6,2,3,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [4,6,2,5,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [4,6,2,5,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [4,6,2,5,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,6,2,5,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,6,2,5,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [4,6,2,5,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,6,2,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [4,6,2,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [4,6,2,7,3,1,5]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [4,6,2,7,3,5,1]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [4,6,2,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [4,6,2,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [4,6,3,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,6,3,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [4,6,3,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [4,6,3,1,5,7,2]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [4,6,3,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [4,6,3,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [4,6,3,2,1,5,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,6,3,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [4,6,3,2,5,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,6,3,2,5,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,6,3,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [4,6,3,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [4,6,3,5,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [4,6,3,5,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [4,6,3,5,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,6,3,5,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,6,3,5,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [4,6,3,5,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,6,3,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [4,6,3,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [4,6,3,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [4,6,3,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [4,6,3,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [4,6,3,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [4,6,5,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,6,5,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,6,5,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,6,5,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [4,6,5,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [4,6,5,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,6,5,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [4,6,5,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,6,5,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,6,5,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [4,6,5,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [4,6,5,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,6,5,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [4,6,5,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [4,6,5,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [4,6,5,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [4,6,5,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [4,6,5,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [4,6,5,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [4,6,5,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [4,6,5,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [4,6,5,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [4,6,5,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [4,6,7,1,2,3,5]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [4,6,7,1,2,5,3]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [4,6,7,1,3,2,5]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [4,6,7,1,3,5,2]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [4,6,7,1,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [4,6,7,2,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [4,6,7,2,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [4,6,7,2,3,1,5]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [4,6,7,2,3,5,1]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [4,6,7,2,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [4,6,7,2,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [4,6,7,3,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [4,6,7,3,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [4,6,7,3,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [4,6,7,3,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [4,6,7,3,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [4,6,7,3,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [4,6,7,5,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [4,6,7,5,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [4,6,7,5,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [4,6,7,5,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [4,6,7,5,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [4,6,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [4,7,1,2,3,5,6]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [4,7,1,2,3,6,5]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,7,1,2,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,7,1,2,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,7,1,2,6,3,5]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,7,1,2,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,7,1,3,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,7,1,3,2,6,5]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [4,7,1,3,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,7,1,3,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,7,1,3,6,2,5]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [4,7,1,3,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,7,1,5,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,7,1,5,2,6,3]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [4,7,1,5,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,7,1,5,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,7,1,5,6,2,3]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [4,7,1,5,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,7,1,6,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,7,1,6,2,5,3]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,7,1,6,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,7,1,6,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,7,1,6,5,2,3]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,7,1,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [4,7,2,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,7,2,1,3,6,5]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [4,7,2,1,5,3,6]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [4,7,2,1,5,6,3]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [4,7,2,1,6,3,5]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [4,7,2,1,6,5,3]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [4,7,2,3,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [4,7,2,3,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [4,7,2,3,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [4,7,2,3,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [4,7,2,3,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [4,7,2,3,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,7,2,5,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [4,7,2,5,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [4,7,2,5,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,7,2,5,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,7,2,5,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [4,7,2,5,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,7,2,6,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [4,7,2,6,1,5,3]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [4,7,2,6,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,7,2,6,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,7,2,6,5,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [4,7,2,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [4,7,3,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,7,3,1,2,6,5]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [4,7,3,1,5,2,6]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [4,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [4,7,3,1,6,2,5]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [4,7,3,2,1,5,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,7,3,2,1,6,5]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [4,7,3,2,5,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,7,3,2,5,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,7,3,2,6,1,5]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [4,7,3,2,6,5,1]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [4,7,3,5,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [4,7,3,5,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [4,7,3,5,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [4,7,3,5,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [4,7,3,5,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [4,7,3,5,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [4,7,3,6,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [4,7,3,6,1,5,2]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [4,7,3,6,2,1,5]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [4,7,3,6,2,5,1]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [4,7,3,6,5,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [4,7,3,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [4,7,5,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,7,5,1,2,6,3]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [4,7,5,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,7,5,1,6,2,3]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [4,7,5,1,6,3,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [4,7,5,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,7,5,2,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [4,7,5,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,7,5,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,7,5,2,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [4,7,5,2,6,3,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [4,7,5,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,7,5,3,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [4,7,5,3,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [4,7,5,3,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [4,7,5,3,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [4,7,5,3,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [4,7,5,6,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [4,7,5,6,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [4,7,5,6,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [4,7,5,6,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [4,7,5,6,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [4,7,5,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [4,7,6,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [4,7,6,1,2,5,3]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,7,6,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,7,6,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,7,6,1,5,2,3]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [4,7,6,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,7,6,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [4,7,6,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [4,7,6,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [4,7,6,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [4,7,6,2,5,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [4,7,6,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,7,6,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [4,7,6,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [4,7,6,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [4,7,6,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [4,7,6,5,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [4,7,6,5,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [4,7,6,5,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [4,7,6,5,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [4,7,6,5,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [4,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>111110 [5,1,2,3,4,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>100000 [5,1,2,3,4,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [5,1,2,3,6,4,7]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [5,1,2,3,6,7,4]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [5,1,2,3,7,4,6]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [5,1,2,3,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [5,1,2,4,3,6,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [5,1,2,4,3,7,6]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [5,1,2,4,6,3,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [5,1,2,4,6,7,3]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [5,1,2,4,7,3,6]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [5,1,2,4,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [5,1,2,6,3,4,7]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [5,1,2,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [5,1,2,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [5,1,2,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [5,1,2,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [5,1,2,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [5,1,2,7,3,4,6]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [5,1,2,7,3,6,4]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [5,1,2,7,4,3,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [5,1,2,7,4,6,3]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [5,1,2,7,6,3,4]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [5,1,2,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,1,3,2,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [5,1,3,2,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [5,1,3,2,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [5,1,3,2,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [5,1,3,2,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [5,1,3,2,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [5,1,3,4,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [5,1,3,4,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [5,1,3,4,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [5,1,3,4,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [5,1,3,4,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [5,1,3,4,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [5,1,3,6,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [5,1,3,6,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [5,1,3,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [5,1,3,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [5,1,3,6,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [5,1,3,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [5,1,3,7,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [5,1,3,7,2,6,4]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [5,1,3,7,4,2,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [5,1,3,7,4,6,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [5,1,3,7,6,2,4]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [5,1,3,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,1,4,2,3,6,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [5,1,4,2,3,7,6]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [5,1,4,2,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [5,1,4,2,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [5,1,4,2,7,3,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [5,1,4,2,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [5,1,4,3,2,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [5,1,4,3,2,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [5,1,4,3,6,2,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [5,1,4,3,6,7,2]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [5,1,4,3,7,2,6]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [5,1,4,3,7,6,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [5,1,4,6,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [5,1,4,6,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [5,1,4,6,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [5,1,4,6,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [5,1,4,6,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [5,1,4,6,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [5,1,4,7,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [5,1,4,7,2,6,3]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [5,1,4,7,3,2,6]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [5,1,4,7,3,6,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [5,1,4,7,6,2,3]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [5,1,4,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,1,6,2,3,4,7]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [5,1,6,2,3,7,4]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [5,1,6,2,4,3,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [5,1,6,2,4,7,3]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [5,1,6,2,7,3,4]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [5,1,6,2,7,4,3]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [5,1,6,3,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [5,1,6,3,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [5,1,6,3,4,2,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [5,1,6,3,4,7,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [5,1,6,3,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [5,1,6,3,7,4,2]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [5,1,6,4,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [5,1,6,4,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [5,1,6,4,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,1,6,4,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,1,6,4,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [5,1,6,4,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,1,6,7,2,3,4]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [5,1,6,7,2,4,3]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [5,1,6,7,3,2,4]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [5,1,6,7,3,4,2]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [5,1,6,7,4,2,3]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [5,1,6,7,4,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,1,7,2,3,4,6]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [5,1,7,2,3,6,4]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [5,1,7,2,4,3,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [5,1,7,2,4,6,3]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [5,1,7,2,6,3,4]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [5,1,7,2,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,1,7,3,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [5,1,7,3,2,6,4]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [5,1,7,3,4,2,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [5,1,7,3,4,6,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [5,1,7,3,6,2,4]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [5,1,7,3,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,1,7,4,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [5,1,7,4,2,6,3]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [5,1,7,4,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,1,7,4,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,1,7,4,6,2,3]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [5,1,7,4,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,1,7,6,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [5,1,7,6,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,1,7,6,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,1,7,6,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,1,7,6,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,1,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [5,2,1,3,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [5,2,1,3,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [5,2,1,3,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [5,2,1,3,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [5,2,1,3,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [5,2,1,3,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [5,2,1,4,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [5,2,1,4,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [5,2,1,4,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [5,2,1,4,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [5,2,1,4,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [5,2,1,4,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [5,2,1,6,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [5,2,1,6,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [5,2,1,6,4,3,7]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [5,2,1,6,4,7,3]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [5,2,1,6,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [5,2,1,6,7,4,3]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [5,2,1,7,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [5,2,1,7,3,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [5,2,1,7,4,3,6]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [5,2,1,7,4,6,3]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [5,2,1,7,6,3,4]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [5,2,1,7,6,4,3]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [5,2,3,1,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [5,2,3,1,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [5,2,3,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [5,2,3,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [5,2,3,1,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [5,2,3,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [5,2,3,4,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [5,2,3,4,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [5,2,3,4,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [5,2,3,4,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [5,2,3,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [5,2,3,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [5,2,3,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [5,2,3,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [5,2,3,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [5,2,3,7,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [5,2,3,7,4,1,6]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [5,2,3,7,4,6,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [5,2,3,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [5,2,3,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,2,4,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [5,2,4,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [5,2,4,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [5,2,4,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [5,2,4,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [5,2,4,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [5,2,4,3,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [5,2,4,3,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [5,2,4,3,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [5,2,4,3,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [5,2,4,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [5,2,4,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [5,2,4,6,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [5,2,4,6,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [5,2,4,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [5,2,4,6,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [5,2,4,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [5,2,4,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [5,2,4,7,3,1,6]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [5,2,4,7,3,6,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [5,2,4,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [5,2,4,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,2,6,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [5,2,6,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [5,2,6,1,4,3,7]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [5,2,6,1,4,7,3]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [5,2,6,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [5,2,6,1,7,4,3]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [5,2,6,3,1,4,7]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [5,2,6,3,1,7,4]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [5,2,6,3,4,1,7]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [5,2,6,3,4,7,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [5,2,6,3,7,1,4]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [5,2,6,3,7,4,1]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [5,2,6,4,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [5,2,6,4,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,2,6,4,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,2,6,4,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [5,2,6,4,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [5,2,6,7,1,4,3]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [5,2,6,7,3,1,4]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [5,2,6,7,3,4,1]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [5,2,6,7,4,1,3]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [5,2,6,7,4,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,2,7,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [5,2,7,1,3,6,4]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [5,2,7,1,4,3,6]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [5,2,7,1,4,6,3]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [5,2,7,1,6,3,4]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [5,2,7,1,6,4,3]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [5,2,7,3,1,4,6]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [5,2,7,3,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [5,2,7,3,4,1,6]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [5,2,7,3,4,6,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [5,2,7,3,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [5,2,7,3,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,2,7,4,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [5,2,7,4,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,2,7,4,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,2,7,4,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [5,2,7,4,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,2,7,6,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [5,2,7,6,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,2,7,6,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,2,7,6,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [5,2,7,6,4,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [5,3,1,2,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [5,3,1,2,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [5,3,1,2,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [5,3,1,2,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [5,3,1,2,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [5,3,1,2,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [5,3,1,4,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [5,3,1,4,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [5,3,1,4,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [5,3,1,4,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [5,3,1,4,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [5,3,1,4,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [5,3,1,6,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [5,3,1,6,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [5,3,1,6,4,2,7]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [5,3,1,6,4,7,2]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [5,3,1,6,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [5,3,1,6,7,4,2]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [5,3,1,7,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [5,3,1,7,2,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [5,3,1,7,4,2,6]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [5,3,1,7,4,6,2]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [5,3,1,7,6,2,4]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [5,3,1,7,6,4,2]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [5,3,2,1,4,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [5,3,2,1,4,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [5,3,2,1,6,4,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [5,3,2,1,6,7,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [5,3,2,1,7,4,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [5,3,2,1,7,6,4]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [5,3,2,4,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [5,3,2,4,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [5,3,2,4,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [5,3,2,4,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [5,3,2,6,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [5,3,2,6,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [5,3,2,6,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [5,3,2,6,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [5,3,2,6,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [5,3,2,7,1,4,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [5,3,2,7,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [5,3,2,7,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [5,3,2,7,6,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [5,3,2,7,6,4,1]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [5,3,4,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [5,3,4,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [5,3,4,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [5,3,4,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [5,3,4,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [5,3,4,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [5,3,4,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [5,3,4,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [5,3,4,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [5,3,4,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [5,3,4,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [5,3,4,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [5,3,4,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [5,3,4,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [5,3,4,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [5,3,4,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [5,3,4,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [5,3,4,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [5,3,4,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [5,3,4,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [5,3,4,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [5,3,4,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [5,3,4,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [5,3,4,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,3,6,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [5,3,6,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [5,3,6,1,4,2,7]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [5,3,6,1,4,7,2]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [5,3,6,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [5,3,6,1,7,4,2]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [5,3,6,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [5,3,6,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [5,3,6,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [5,3,6,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [5,3,6,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [5,3,6,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [5,3,6,4,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [5,3,6,4,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [5,3,6,4,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,3,6,4,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,3,6,4,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [5,3,6,4,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,3,6,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [5,3,6,7,1,4,2]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [5,3,6,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [5,3,6,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [5,3,6,7,4,1,2]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [5,3,6,7,4,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [5,3,7,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [5,3,7,1,2,6,4]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [5,3,7,1,4,2,6]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [5,3,7,1,4,6,2]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [5,3,7,1,6,2,4]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [5,3,7,1,6,4,2]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [5,3,7,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [5,3,7,2,1,6,4]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [5,3,7,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [5,3,7,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [5,3,7,2,6,1,4]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [5,3,7,2,6,4,1]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [5,3,7,4,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [5,3,7,4,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [5,3,7,4,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [5,3,7,4,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [5,3,7,4,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [5,3,7,4,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [5,3,7,6,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [5,3,7,6,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [5,3,7,6,2,1,4]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [5,3,7,6,2,4,1]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [5,3,7,6,4,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [5,3,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [5,4,1,2,3,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [5,4,1,2,3,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [5,4,1,2,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [5,4,1,2,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [5,4,1,2,7,3,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [5,4,1,2,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [5,4,1,3,2,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [5,4,1,3,2,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [5,4,1,3,6,2,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [5,4,1,3,6,7,2]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [5,4,1,3,7,2,6]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [5,4,1,3,7,6,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [5,4,1,6,2,3,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [5,4,1,6,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [5,4,1,6,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [5,4,1,6,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [5,4,1,6,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [5,4,1,6,7,3,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [5,4,1,7,2,3,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [5,4,1,7,2,6,3]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [5,4,1,7,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [5,4,1,7,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [5,4,1,7,6,2,3]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [5,4,1,7,6,3,2]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [5,4,2,1,3,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [5,4,2,1,3,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [5,4,2,1,6,3,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [5,4,2,1,6,7,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [5,4,2,1,7,3,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [5,4,2,1,7,6,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [5,4,2,3,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [5,4,2,3,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [5,4,2,3,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [5,4,2,3,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [5,4,2,3,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [5,4,2,3,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [5,4,2,6,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [5,4,2,6,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [5,4,2,6,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [5,4,2,6,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [5,4,2,6,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [5,4,2,6,7,3,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [5,4,2,7,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [5,4,2,7,1,6,3]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [5,4,2,7,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [5,4,2,7,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [5,4,2,7,6,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [5,4,2,7,6,3,1]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [5,4,3,1,2,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [5,4,3,1,2,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [5,4,3,1,6,2,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [5,4,3,1,6,7,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [5,4,3,1,7,2,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [5,4,3,1,7,6,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [5,4,3,2,6,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [5,4,3,2,6,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [5,4,3,2,7,1,6]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [5,4,3,2,7,6,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [5,4,3,6,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [5,4,3,6,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [5,4,3,6,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [5,4,3,6,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [5,4,3,6,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [5,4,3,6,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [5,4,3,7,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [5,4,3,7,1,6,2]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [5,4,3,7,2,1,6]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [5,4,3,7,2,6,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [5,4,3,7,6,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [5,4,3,7,6,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [5,4,6,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [5,4,6,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [5,4,6,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [5,4,6,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [5,4,6,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [5,4,6,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [5,4,6,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [5,4,6,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [5,4,6,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [5,4,6,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [5,4,6,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [5,4,6,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [5,4,6,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [5,4,6,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [5,4,6,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [5,4,6,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [5,4,6,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [5,4,6,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [5,4,6,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [5,4,6,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [5,4,6,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [5,4,6,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [5,4,6,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [5,4,7,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [5,4,7,1,2,6,3]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [5,4,7,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [5,4,7,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [5,4,7,1,6,2,3]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [5,4,7,1,6,3,2]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [5,4,7,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [5,4,7,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [5,4,7,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [5,4,7,2,6,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [5,4,7,2,6,3,1]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [5,4,7,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [5,4,7,3,1,6,2]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [5,4,7,3,2,1,6]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [5,4,7,3,2,6,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [5,4,7,3,6,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [5,4,7,3,6,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [5,4,7,6,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [5,4,7,6,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [5,4,7,6,2,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [5,4,7,6,2,3,1]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [5,4,7,6,3,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [5,4,7,6,3,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [5,6,1,2,3,4,7]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [5,6,1,2,3,7,4]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [5,6,1,2,4,3,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [5,6,1,2,4,7,3]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [5,6,1,2,7,3,4]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [5,6,1,2,7,4,3]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [5,6,1,3,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [5,6,1,3,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [5,6,1,3,4,2,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [5,6,1,3,4,7,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [5,6,1,3,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [5,6,1,3,7,4,2]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [5,6,1,4,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [5,6,1,4,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [5,6,1,4,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,6,1,4,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,6,1,4,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [5,6,1,4,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,6,1,7,2,3,4]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [5,6,1,7,2,4,3]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [5,6,1,7,3,2,4]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [5,6,1,7,3,4,2]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [5,6,1,7,4,2,3]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [5,6,1,7,4,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [5,6,2,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [5,6,2,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [5,6,2,1,4,3,7]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [5,6,2,1,4,7,3]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [5,6,2,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [5,6,2,1,7,4,3]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [5,6,2,3,1,4,7]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [5,6,2,3,1,7,4]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [5,6,2,3,4,1,7]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [5,6,2,3,4,7,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [5,6,2,3,7,1,4]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [5,6,2,3,7,4,1]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [5,6,2,4,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [5,6,2,4,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [5,6,2,4,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,6,2,4,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,6,2,4,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [5,6,2,4,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,6,2,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [5,6,2,7,1,4,3]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [5,6,2,7,3,1,4]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [5,6,2,7,3,4,1]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [5,6,2,7,4,1,3]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [5,6,2,7,4,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [5,6,3,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [5,6,3,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [5,6,3,1,4,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [5,6,3,1,4,7,2]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [5,6,3,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [5,6,3,1,7,4,2]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [5,6,3,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,6,3,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [5,6,3,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,6,3,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,6,3,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [5,6,3,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [5,6,3,4,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [5,6,3,4,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,6,3,4,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,6,3,4,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [5,6,3,4,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [5,6,3,7,1,4,2]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [5,6,3,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [5,6,3,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [5,6,3,7,4,1,2]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [5,6,3,7,4,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [5,6,4,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [5,6,4,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [5,6,4,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,6,4,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,6,4,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [5,6,4,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [5,6,4,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,6,4,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [5,6,4,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,6,4,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,6,4,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [5,6,4,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,6,4,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [5,6,4,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [5,6,4,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [5,6,4,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [5,6,4,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [5,6,4,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [5,6,4,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [5,6,4,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [5,6,4,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [5,6,4,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [5,6,4,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [5,6,7,1,2,3,4]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [5,6,7,1,2,4,3]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [5,6,7,1,3,2,4]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [5,6,7,1,3,4,2]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [5,6,7,1,4,2,3]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [5,6,7,1,4,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [5,6,7,2,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [5,6,7,2,1,4,3]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [5,6,7,2,3,1,4]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [5,6,7,2,3,4,1]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [5,6,7,2,4,1,3]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [5,6,7,2,4,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [5,6,7,3,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [5,6,7,3,1,4,2]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [5,6,7,3,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [5,6,7,3,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [5,6,7,3,4,1,2]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [5,6,7,3,4,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [5,6,7,4,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [5,6,7,4,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [5,6,7,4,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [5,6,7,4,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [5,6,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [5,7,1,2,3,4,6]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [5,7,1,2,3,6,4]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [5,7,1,2,4,3,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [5,7,1,2,4,6,3]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [5,7,1,2,6,3,4]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [5,7,1,2,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,7,1,3,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [5,7,1,3,2,6,4]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [5,7,1,3,4,2,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [5,7,1,3,4,6,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [5,7,1,3,6,2,4]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [5,7,1,3,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,7,1,4,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [5,7,1,4,2,6,3]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [5,7,1,4,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,7,1,4,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,7,1,4,6,2,3]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [5,7,1,4,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,7,1,6,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [5,7,1,6,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,7,1,6,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,7,1,6,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,7,1,6,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,7,1,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [5,7,2,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [5,7,2,1,3,6,4]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [5,7,2,1,4,3,6]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [5,7,2,1,4,6,3]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [5,7,2,1,6,3,4]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [5,7,2,1,6,4,3]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [5,7,2,3,1,4,6]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [5,7,2,3,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [5,7,2,3,4,1,6]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [5,7,2,3,4,6,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [5,7,2,3,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [5,7,2,3,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,7,2,4,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [5,7,2,4,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [5,7,2,4,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,7,2,4,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,7,2,4,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [5,7,2,4,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,7,2,6,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [5,7,2,6,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [5,7,2,6,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,7,2,6,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,7,2,6,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [5,7,2,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [5,7,3,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [5,7,3,1,2,6,4]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [5,7,3,1,4,2,6]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [5,7,3,1,4,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [5,7,3,1,6,2,4]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [5,7,3,1,6,4,2]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [5,7,3,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,7,3,2,1,6,4]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [5,7,3,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,7,3,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,7,3,2,6,1,4]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [5,7,3,2,6,4,1]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [5,7,3,4,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [5,7,3,4,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [5,7,3,4,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [5,7,3,4,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [5,7,3,4,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [5,7,3,6,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [5,7,3,6,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [5,7,3,6,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [5,7,3,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [5,7,4,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [5,7,4,1,2,6,3]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [5,7,4,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,7,4,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,7,4,1,6,2,3]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [5,7,4,1,6,3,2]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [5,7,4,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,7,4,2,1,6,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [5,7,4,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,7,4,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,7,4,2,6,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [5,7,4,2,6,3,1]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [5,7,4,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [5,7,4,3,2,1,6]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [5,7,4,3,2,6,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [5,7,4,3,6,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [5,7,4,3,6,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [5,7,4,6,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [5,7,4,6,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [5,7,4,6,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [5,7,4,6,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [5,7,4,6,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [5,7,4,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [5,7,6,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [5,7,6,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,7,6,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,7,6,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,7,6,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,7,6,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [5,7,6,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,7,6,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [5,7,6,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [5,7,6,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [5,7,6,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [5,7,6,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [5,7,6,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,7,6,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [5,7,6,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [5,7,6,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [5,7,6,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [5,7,6,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [5,7,6,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [5,7,6,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [5,7,6,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [5,7,6,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [5,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>111110 [6,1,2,3,4,5,7]=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>100000 [6,1,2,3,4,7,5]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [6,1,2,3,5,4,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [6,1,2,3,5,7,4]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [6,1,2,3,7,4,5]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [6,1,2,3,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [6,1,2,4,3,5,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [6,1,2,4,3,7,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,1,2,4,5,3,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [6,1,2,4,5,7,3]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [6,1,2,4,7,3,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,1,2,4,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [6,1,2,5,3,4,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [6,1,2,5,3,7,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,1,2,5,4,3,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [6,1,2,5,4,7,3]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [6,1,2,5,7,3,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,1,2,5,7,4,3]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [6,1,2,7,3,4,5]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [6,1,2,7,3,5,4]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [6,1,2,7,4,3,5]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [6,1,2,7,4,5,3]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [6,1,2,7,5,3,4]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [6,1,2,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [6,1,3,2,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [6,1,3,2,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,1,3,2,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,1,3,2,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,1,3,2,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,1,3,2,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [6,1,3,4,2,5,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [6,1,3,4,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,1,3,4,5,2,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [6,1,3,4,5,7,2]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [6,1,3,4,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,1,3,4,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [6,1,3,5,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,1,3,5,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,1,3,5,4,2,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [6,1,3,5,4,7,2]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [6,1,3,5,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,1,3,5,7,4,2]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [6,1,3,7,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,1,3,7,2,5,4]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [6,1,3,7,4,2,5]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [6,1,3,7,4,5,2]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [6,1,3,7,5,2,4]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [6,1,3,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [6,1,4,2,3,5,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [6,1,4,2,3,7,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,1,4,2,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,1,4,2,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,1,4,2,7,3,5]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,1,4,2,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [6,1,4,3,2,5,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [6,1,4,3,2,7,5]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,1,4,3,5,2,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [6,1,4,3,5,7,2]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [6,1,4,3,7,2,5]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,1,4,3,7,5,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,1,4,5,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,1,4,5,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,1,4,5,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [6,1,4,5,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [6,1,4,5,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,1,4,5,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [6,1,4,7,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,1,4,7,2,5,3]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [6,1,4,7,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,1,4,7,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,1,4,7,5,2,3]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [6,1,4,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [6,1,5,2,3,4,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [6,1,5,2,3,7,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,1,5,2,4,3,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [6,1,5,2,4,7,3]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [6,1,5,2,7,3,4]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,1,5,2,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,1,5,3,2,4,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [6,1,5,3,2,7,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,1,5,3,4,2,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [6,1,5,3,4,7,2]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [6,1,5,3,7,2,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,1,5,3,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,1,5,4,2,3,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [6,1,5,4,2,7,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,1,5,4,3,2,7]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [6,1,5,4,3,7,2]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [6,1,5,4,7,2,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,1,5,4,7,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [6,1,5,7,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,1,5,7,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,1,5,7,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,1,5,7,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,1,5,7,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,1,5,7,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [6,1,7,2,3,4,5]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [6,1,7,2,3,5,4]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [6,1,7,2,4,3,5]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [6,1,7,2,4,5,3]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [6,1,7,2,5,3,4]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [6,1,7,2,5,4,3]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [6,1,7,3,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [6,1,7,3,2,5,4]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [6,1,7,3,4,2,5]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [6,1,7,3,4,5,2]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [6,1,7,3,5,2,4]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [6,1,7,3,5,4,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [6,1,7,4,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [6,1,7,4,2,5,3]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [6,1,7,4,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [6,1,7,4,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [6,1,7,4,5,2,3]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [6,1,7,4,5,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [6,1,7,5,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [6,1,7,5,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [6,1,7,5,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [6,1,7,5,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [6,1,7,5,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [6,1,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [6,2,1,3,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [6,2,1,3,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,2,1,3,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,2,1,3,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,2,1,3,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,2,1,3,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [6,2,1,4,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,2,1,4,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [6,2,1,4,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,2,1,4,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,2,1,4,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [6,2,1,4,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [6,2,1,5,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,2,1,5,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [6,2,1,5,4,3,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,2,1,5,4,7,3]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,2,1,5,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [6,2,1,5,7,4,3]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,2,1,7,3,4,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,2,1,7,3,5,4]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [6,2,1,7,4,3,5]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [6,2,1,7,4,5,3]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [6,2,1,7,5,3,4]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [6,2,1,7,5,4,3]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [6,2,3,1,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [6,2,3,1,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,2,3,1,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,2,3,1,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,2,3,1,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,2,3,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [6,2,3,4,1,5,7]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [6,2,3,4,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [6,2,3,4,5,7,1]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,2,3,4,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [6,2,3,5,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,2,3,5,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [6,2,3,5,4,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [6,2,3,5,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,2,3,5,7,4,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [6,2,3,7,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,2,3,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [6,2,3,7,4,1,5]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [6,2,3,7,4,5,1]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [6,2,3,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [6,2,4,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,2,4,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [6,2,4,1,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,2,4,1,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,2,4,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [6,2,4,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [6,2,4,3,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [6,2,4,3,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [6,2,4,3,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [6,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,2,4,3,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,2,4,5,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,2,4,5,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,2,4,5,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [6,2,4,5,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [6,2,4,5,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,2,4,5,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [6,2,4,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [6,2,4,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [6,2,4,7,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,2,4,7,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,2,4,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [6,2,4,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [6,2,5,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,2,5,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [6,2,5,1,4,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,2,5,1,4,7,3]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,2,5,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [6,2,5,1,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,2,5,3,1,4,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [6,2,5,3,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,2,5,3,4,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [6,2,5,3,4,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [6,2,5,3,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,2,5,3,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,2,5,4,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,2,5,4,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [6,2,5,4,3,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [6,2,5,4,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,2,5,4,7,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [6,2,5,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [6,2,5,7,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,2,5,7,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,2,5,7,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,2,5,7,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [6,2,7,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,2,7,1,3,5,4]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [6,2,7,1,4,3,5]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [6,2,7,1,4,5,3]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [6,2,7,1,5,3,4]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [6,2,7,1,5,4,3]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [6,2,7,3,1,4,5]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [6,2,7,3,1,5,4]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [6,2,7,3,4,1,5]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [6,2,7,3,4,5,1]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [6,2,7,3,5,1,4]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [6,2,7,3,5,4,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [6,2,7,4,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [6,2,7,4,1,5,3]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [6,2,7,4,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [6,2,7,4,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [6,2,7,4,5,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [6,2,7,5,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [6,2,7,5,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [6,2,7,5,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [6,2,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [6,3,1,2,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [6,3,1,2,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,3,1,2,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,3,1,2,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,3,1,2,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,3,1,2,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [6,3,1,4,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,3,1,4,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [6,3,1,4,5,2,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,3,1,4,5,7,2]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,3,1,4,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [6,3,1,4,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [6,3,1,5,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,3,1,5,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [6,3,1,5,4,2,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,3,1,5,4,7,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,3,1,5,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [6,3,1,5,7,4,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,3,1,7,2,4,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,3,1,7,2,5,4]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [6,3,1,7,4,2,5]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [6,3,1,7,4,5,2]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [6,3,1,7,5,2,4]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [6,3,1,7,5,4,2]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [6,3,2,1,4,5,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [6,3,2,1,4,7,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,3,2,1,5,4,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,3,2,1,5,7,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,3,2,1,7,4,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,3,2,1,7,5,4]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [6,3,2,4,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [6,3,2,4,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [6,3,2,4,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,3,2,4,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,3,2,5,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,3,2,5,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,3,2,5,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,3,2,5,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,3,2,5,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,3,2,7,1,4,5]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,3,2,7,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [6,3,2,7,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,3,2,7,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [6,3,4,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,3,4,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [6,3,4,1,5,2,7]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [6,3,4,1,5,7,2]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [6,3,4,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [6,3,4,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [6,3,4,2,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [6,3,4,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,3,4,2,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [6,3,4,2,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [6,3,4,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,3,4,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,3,4,5,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [6,3,4,5,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [6,3,4,5,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [6,3,4,5,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [6,3,4,5,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [6,3,4,5,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [6,3,4,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [6,3,4,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [6,3,4,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,3,4,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,3,4,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [6,3,4,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [6,3,5,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,3,5,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [6,3,5,1,4,2,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,3,5,1,4,7,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,3,5,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [6,3,5,1,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,3,5,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,3,5,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,3,5,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,3,5,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,3,5,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,3,5,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,3,5,4,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,3,5,4,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,3,5,4,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [6,3,5,4,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [6,3,5,4,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,3,5,4,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [6,3,5,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [6,3,5,7,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,3,5,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,3,5,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,3,5,7,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,3,5,7,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [6,3,7,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,3,7,1,2,5,4]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [6,3,7,1,4,2,5]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [6,3,7,1,4,5,2]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [6,3,7,1,5,2,4]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [6,3,7,1,5,4,2]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [6,3,7,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,3,7,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [6,3,7,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,3,7,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,3,7,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [6,3,7,2,5,4,1]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [6,3,7,4,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [6,3,7,4,1,5,2]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [6,3,7,4,2,1,5]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [6,3,7,4,2,5,1]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [6,3,7,4,5,1,2]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [6,3,7,4,5,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [6,3,7,5,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [6,3,7,5,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [6,3,7,5,2,1,4]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [6,3,7,5,2,4,1]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [6,3,7,5,4,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [6,3,7,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [6,4,1,2,3,5,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [6,4,1,2,3,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,4,1,2,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,4,1,2,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,4,1,2,7,3,5]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,4,1,2,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [6,4,1,3,2,5,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [6,4,1,3,2,7,5]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,4,1,3,5,2,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [6,4,1,3,5,7,2]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [6,4,1,3,7,2,5]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,4,1,3,7,5,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,4,1,5,2,3,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,4,1,5,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [6,4,1,5,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,4,1,5,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,4,1,5,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [6,4,1,5,7,3,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,4,1,7,2,3,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,4,1,7,2,5,3]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [6,4,1,7,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,4,1,7,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,4,1,7,5,2,3]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [6,4,1,7,5,3,2]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [6,4,2,1,3,5,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [6,4,2,1,3,7,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,4,2,1,5,3,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,4,2,1,5,7,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,4,2,1,7,3,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,4,2,1,7,5,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [6,4,2,3,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [6,4,2,3,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,4,2,3,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [6,4,2,3,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [6,4,2,3,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,4,2,3,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,4,2,5,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,4,2,5,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,4,2,5,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,4,2,5,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,4,2,5,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,4,2,5,7,3,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,4,2,7,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,4,2,7,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [6,4,2,7,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,4,2,7,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,4,2,7,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [6,4,2,7,5,3,1]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [6,4,3,1,2,5,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [6,4,3,1,2,7,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,4,3,1,5,2,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,4,3,1,5,7,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,4,3,1,7,2,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,4,3,1,7,5,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [6,4,3,2,1,5,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [6,4,3,2,1,7,5]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [6,4,3,2,5,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [6,4,3,2,7,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [6,4,3,5,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,4,3,5,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,4,3,5,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [6,4,3,5,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [6,4,3,5,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,4,3,5,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [6,4,3,7,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,4,3,7,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [6,4,3,7,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [6,4,3,7,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [6,4,3,7,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [6,4,3,7,5,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [6,4,5,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,4,5,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [6,4,5,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,4,5,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,4,5,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [6,4,5,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,4,5,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,4,5,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,4,5,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,4,5,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,4,5,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [6,4,5,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,4,5,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [6,4,5,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [6,4,5,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [6,4,5,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [6,4,5,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [6,4,5,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [6,4,5,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,4,5,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,4,5,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [6,4,5,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [6,4,5,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [6,4,7,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,4,7,1,2,5,3]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [6,4,7,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,4,7,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,4,7,1,5,2,3]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [6,4,7,1,5,3,2]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [6,4,7,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,4,7,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [6,4,7,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,4,7,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [6,4,7,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,4,7,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [6,4,7,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [6,4,7,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [6,4,7,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [6,4,7,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [6,4,7,5,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [6,4,7,5,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [6,4,7,5,2,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [6,4,7,5,2,3,1]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [6,4,7,5,3,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [6,4,7,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [6,5,1,2,3,4,7]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [6,5,1,2,3,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [6,5,1,2,4,3,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [6,5,1,2,4,7,3]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [6,5,1,2,7,3,4]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [6,5,1,2,7,4,3]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,5,1,3,2,4,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [6,5,1,3,2,7,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,5,1,3,4,2,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [6,5,1,3,4,7,2]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [6,5,1,3,7,2,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,5,1,3,7,4,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,5,1,4,2,3,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [6,5,1,4,2,7,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,5,1,4,3,2,7]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [6,5,1,4,3,7,2]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [6,5,1,4,7,2,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,5,1,4,7,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [6,5,1,7,2,3,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [6,5,1,7,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,5,1,7,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,5,1,7,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,5,1,7,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,5,1,7,4,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [6,5,2,1,3,4,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [6,5,2,1,3,7,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,5,2,1,4,3,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,5,2,1,4,7,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,5,2,1,7,3,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,5,2,1,7,4,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [6,5,2,3,1,4,7]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [6,5,2,3,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,5,2,3,4,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [6,5,2,3,4,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [6,5,2,3,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,5,2,3,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [6,5,2,4,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,5,2,4,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,5,2,4,3,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [6,5,2,4,3,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [6,5,2,4,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,5,2,4,7,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [6,5,2,7,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,5,2,7,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [6,5,2,7,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [6,5,2,7,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [6,5,2,7,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [6,5,2,7,4,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [6,5,3,1,2,4,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [6,5,3,1,2,7,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,5,3,1,4,2,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,5,3,1,4,7,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,5,3,1,7,2,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,5,3,1,7,4,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [6,5,3,2,1,4,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [6,5,3,2,1,7,4]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [6,5,3,2,4,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [6,5,3,2,4,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [6,5,3,2,7,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [6,5,3,2,7,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [6,5,3,4,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,5,3,4,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [6,5,3,4,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [6,5,3,4,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [6,5,3,4,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [6,5,3,7,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,5,3,7,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [6,5,3,7,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [6,5,3,7,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [6,5,3,7,4,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [6,5,4,1,2,3,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [6,5,4,1,2,7,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [6,5,4,1,3,2,7]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [6,5,4,1,3,7,2]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [6,5,4,1,7,2,3]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [6,5,4,1,7,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [6,5,4,2,1,3,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [6,5,4,2,1,7,3]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [6,5,4,2,3,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [6,5,4,2,3,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [6,5,4,2,7,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [6,5,4,2,7,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [6,5,4,3,1,2,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [6,5,4,3,1,7,2]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>111110 [6,5,4,3,2,7,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>111110 [6,5,4,3,7,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [6,5,4,3,7,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>111110 [6,5,4,7,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [6,5,4,7,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [6,5,4,7,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [6,5,4,7,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [6,5,4,7,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [6,5,4,7,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>111110 [6,5,7,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [6,5,7,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,5,7,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,5,7,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,5,7,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,5,7,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [6,5,7,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,5,7,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [6,5,7,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [6,5,7,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [6,5,7,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [6,5,7,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [6,5,7,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,5,7,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [6,5,7,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [6,5,7,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [6,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [6,5,7,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [6,5,7,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [6,5,7,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [6,5,7,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [6,5,7,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [6,5,7,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>111110 [6,7,1,2,3,4,5]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [6,7,1,2,3,5,4]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [6,7,1,2,4,3,5]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [6,7,1,2,4,5,3]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [6,7,1,2,5,3,4]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [6,7,1,2,5,4,3]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [6,7,1,3,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [6,7,1,3,2,5,4]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [6,7,1,3,4,2,5]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [6,7,1,3,4,5,2]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [6,7,1,3,5,2,4]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [6,7,1,3,5,4,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [6,7,1,4,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [6,7,1,4,2,5,3]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [6,7,1,4,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [6,7,1,4,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [6,7,1,4,5,2,3]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [6,7,1,4,5,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [6,7,1,5,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [6,7,1,5,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [6,7,1,5,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [6,7,1,5,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [6,7,1,5,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [6,7,1,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [6,7,2,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [6,7,2,1,3,5,4]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [6,7,2,1,4,3,5]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [6,7,2,1,4,5,3]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [6,7,2,1,5,3,4]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [6,7,2,1,5,4,3]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [6,7,2,3,1,4,5]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [6,7,2,3,1,5,4]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [6,7,2,3,4,1,5]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [6,7,2,3,4,5,1]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [6,7,2,3,5,1,4]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [6,7,2,3,5,4,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [6,7,2,4,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [6,7,2,4,1,5,3]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [6,7,2,4,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [6,7,2,4,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [6,7,2,4,5,1,3]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [6,7,2,4,5,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [6,7,2,5,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [6,7,2,5,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [6,7,2,5,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [6,7,2,5,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [6,7,2,5,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [6,7,2,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [6,7,3,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [6,7,3,1,2,5,4]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [6,7,3,1,4,2,5]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [6,7,3,1,4,5,2]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [6,7,3,1,5,2,4]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [6,7,3,1,5,4,2]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [6,7,3,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [6,7,3,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [6,7,3,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [6,7,3,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [6,7,3,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [6,7,3,2,5,4,1]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [6,7,3,4,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [6,7,3,4,1,5,2]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [6,7,3,4,2,1,5]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [6,7,3,4,2,5,1]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [6,7,3,4,5,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [6,7,3,5,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [6,7,3,5,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [6,7,3,5,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [6,7,3,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [6,7,3,5,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [6,7,4,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [6,7,4,1,2,5,3]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [6,7,4,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [6,7,4,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [6,7,4,1,5,2,3]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [6,7,4,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [6,7,4,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [6,7,4,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [6,7,4,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [6,7,4,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [6,7,4,2,5,3,1]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [6,7,4,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [6,7,4,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [6,7,4,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [6,7,4,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [6,7,4,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [6,7,4,5,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [6,7,4,5,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [6,7,4,5,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [6,7,4,5,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [6,7,4,5,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [6,7,5,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [6,7,5,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [6,7,5,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [6,7,5,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [6,7,5,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [6,7,5,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [6,7,5,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [6,7,5,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [6,7,5,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [6,7,5,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [6,7,5,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [6,7,5,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [6,7,5,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [6,7,5,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [6,7,5,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [6,7,5,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [6,7,5,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [6,7,5,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [6,7,5,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [6,7,5,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [6,7,5,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [6,7,5,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [6,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>111110 [7,1,2,3,4,5,6]=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>100000 [7,1,2,3,4,6,5]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [7,1,2,3,5,4,6]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [7,1,2,3,5,6,4]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [7,1,2,3,6,4,5]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [7,1,2,3,6,5,4]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,1,2,4,3,5,6]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [7,1,2,4,3,6,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,1,2,4,5,3,6]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [7,1,2,4,5,6,3]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [7,1,2,4,6,3,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,1,2,4,6,5,3]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,1,2,5,3,4,6]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [7,1,2,5,3,6,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,1,2,5,4,3,6]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,1,2,5,4,6,3]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,1,2,5,6,3,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,1,2,5,6,4,3]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,1,2,6,3,4,5]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [7,1,2,6,3,5,4]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,1,2,6,4,3,5]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,1,2,6,4,5,3]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,1,2,6,5,3,4]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,1,2,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,1,3,2,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [7,1,3,2,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,1,3,2,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,1,3,2,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,1,3,2,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,1,3,2,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,1,3,4,2,5,6]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [7,1,3,4,2,6,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,1,3,4,5,2,6]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [7,1,3,4,5,6,2]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [7,1,3,4,6,2,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,1,3,4,6,5,2]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,1,3,5,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,1,3,5,2,6,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,1,3,5,4,2,6]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,1,3,5,4,6,2]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,1,3,5,6,2,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,1,3,5,6,4,2]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,1,3,6,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,1,3,6,2,5,4]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,1,3,6,4,2,5]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,1,3,6,4,5,2]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,1,3,6,5,2,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,1,3,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,1,4,2,3,5,6]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [7,1,4,2,3,6,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,1,4,2,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,1,4,2,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,1,4,2,6,3,5]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,1,4,2,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,1,4,3,2,5,6]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,1,4,3,2,6,5]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,1,4,3,5,2,6]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,1,4,3,5,6,2]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,1,4,3,6,2,5]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,1,4,3,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,1,4,5,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,1,4,5,2,6,3]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,1,4,5,3,2,6]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,1,4,5,3,6,2]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,1,4,5,6,2,3]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,1,4,5,6,3,2]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,1,4,6,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,1,4,6,2,5,3]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,1,4,6,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,1,4,6,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,1,4,6,5,2,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,1,4,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,1,5,2,3,4,6]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [7,1,5,2,3,6,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,1,5,2,4,3,6]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,1,5,2,4,6,3]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,1,5,2,6,3,4]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,1,5,2,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,1,5,3,2,4,6]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,1,5,3,2,6,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,1,5,3,4,2,6]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,1,5,3,4,6,2]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,1,5,3,6,2,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,1,5,3,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,1,5,4,2,3,6]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,1,5,4,2,6,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,1,5,4,3,2,6]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,1,5,4,3,6,2]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,1,5,4,6,2,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,1,5,4,6,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,1,5,6,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,1,5,6,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,1,5,6,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,1,5,6,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,1,5,6,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,1,5,6,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,1,6,2,3,4,5]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [7,1,6,2,3,5,4]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,1,6,2,4,3,5]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,1,6,2,4,5,3]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,1,6,2,5,3,4]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,1,6,2,5,4,3]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,1,6,3,2,4,5]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,1,6,3,2,5,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,1,6,3,4,2,5]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,1,6,3,4,5,2]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,1,6,3,5,2,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,1,6,3,5,4,2]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,1,6,4,2,3,5]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,1,6,4,2,5,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,1,6,4,3,2,5]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,1,6,4,3,5,2]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,1,6,4,5,2,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,1,6,4,5,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,1,6,5,2,3,4]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,1,6,5,2,4,3]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,1,6,5,3,2,4]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,1,6,5,3,4,2]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,1,6,5,4,2,3]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,1,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>111110 [7,2,1,3,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [7,2,1,3,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,2,1,3,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,2,1,3,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,2,1,3,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,2,1,3,6,5,4]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,2,1,4,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,2,1,4,3,6,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [7,2,1,4,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,2,1,4,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,2,1,4,6,3,5]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [7,2,1,4,6,5,3]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,2,1,5,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,2,1,5,3,6,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [7,2,1,5,4,3,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,2,1,5,4,6,3]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,2,1,5,6,3,4]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [7,2,1,5,6,4,3]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,2,1,6,3,4,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,2,1,6,3,5,4]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,2,1,6,4,3,5]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,2,1,6,4,5,3]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,2,1,6,5,3,4]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,2,1,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,2,3,1,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [7,2,3,1,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,2,3,1,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,2,3,1,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,2,3,1,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,2,3,1,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,2,3,4,1,5,6]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [7,2,3,4,1,6,5]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,2,3,4,5,1,6]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [7,2,3,4,6,1,5]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,2,3,5,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,2,3,5,1,6,4]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,2,3,5,4,1,6]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,2,3,5,6,1,4]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,2,3,5,6,4,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,2,3,6,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,2,3,6,1,5,4]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,2,3,6,4,1,5]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,2,3,6,4,5,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,2,3,6,5,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,2,4,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,2,4,1,3,6,5]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [7,2,4,1,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,2,4,1,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,2,4,1,6,3,5]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [7,2,4,1,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,2,4,3,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,2,4,3,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,2,4,3,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,2,4,3,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,2,4,5,1,3,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,2,4,5,1,6,3]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,2,4,5,3,1,6]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,2,4,5,3,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,2,4,5,6,1,3]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,2,4,5,6,3,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,2,4,6,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [7,2,4,6,1,5,3]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,2,4,6,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,2,4,6,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,2,4,6,5,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,2,4,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,2,5,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,2,5,1,3,6,4]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [7,2,5,1,4,3,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,2,5,1,4,6,3]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,2,5,1,6,3,4]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [7,2,5,1,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,2,5,3,1,4,6]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,2,5,3,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,2,5,3,4,1,6]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,2,5,3,4,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,2,5,3,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,2,5,3,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,2,5,4,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,2,5,4,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,2,5,4,3,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,2,5,4,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,2,5,4,6,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,2,5,6,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [7,2,5,6,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,2,5,6,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,2,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,2,5,6,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,2,5,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,2,6,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,2,6,1,3,5,4]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,2,6,1,4,3,5]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,2,6,1,4,5,3]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,2,6,1,5,3,4]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,2,6,1,5,4,3]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,2,6,3,1,4,5]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,2,6,3,1,5,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,2,6,3,4,1,5]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,2,6,3,4,5,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,2,6,3,5,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,2,6,3,5,4,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,2,6,4,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,2,6,4,1,5,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,2,6,4,3,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,2,6,4,3,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,2,6,4,5,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,2,6,5,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,2,6,5,1,4,3]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,2,6,5,3,1,4]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,2,6,5,3,4,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,2,6,5,4,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>111110 [7,3,1,2,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [7,3,1,2,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,3,1,2,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,3,1,2,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,3,1,2,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,3,1,2,6,5,4]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,3,1,4,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,3,1,4,2,6,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [7,3,1,4,5,2,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,3,1,4,5,6,2]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,3,1,4,6,2,5]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [7,3,1,4,6,5,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,3,1,5,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,3,1,5,2,6,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [7,3,1,5,4,2,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,3,1,5,4,6,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,3,1,5,6,2,4]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [7,3,1,5,6,4,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,3,1,6,2,4,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,3,1,6,2,5,4]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,3,1,6,4,2,5]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,3,1,6,4,5,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,3,1,6,5,2,4]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,3,1,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,3,2,1,4,5,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,3,2,1,4,6,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,3,2,1,5,4,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,3,2,1,5,6,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,3,2,1,6,4,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,3,2,1,6,5,4]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [7,3,2,4,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,3,2,4,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,3,2,4,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,3,2,4,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,3,2,5,1,4,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,3,2,5,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,3,2,5,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,3,2,5,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,3,2,5,6,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,3,2,6,1,4,5]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,3,2,6,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [7,3,2,6,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,3,2,6,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [7,3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,3,4,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,3,4,1,2,6,5]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [7,3,4,1,5,2,6]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [7,3,4,1,5,6,2]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [7,3,4,1,6,2,5]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [7,3,4,1,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,3,4,2,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [7,3,4,2,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,3,4,2,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [7,3,4,2,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [7,3,4,2,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,3,4,2,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,3,4,5,1,2,6]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [7,3,4,5,1,6,2]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [7,3,4,5,2,1,6]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [7,3,4,5,2,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [7,3,4,5,6,1,2]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [7,3,4,5,6,2,1]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [7,3,4,6,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [7,3,4,6,1,5,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,3,4,6,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,3,4,6,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,3,4,6,5,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,3,4,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,3,5,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,3,5,1,2,6,4]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [7,3,5,1,4,2,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,3,5,1,4,6,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,3,5,1,6,2,4]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [7,3,5,1,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,3,5,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,3,5,2,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,3,5,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,3,5,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,3,5,2,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,3,5,2,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,3,5,4,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,3,5,4,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,3,5,4,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,3,5,4,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,3,5,4,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,3,5,4,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,3,5,6,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [7,3,5,6,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,3,5,6,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,3,5,6,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,3,5,6,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,3,5,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,3,6,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,3,6,1,2,5,4]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,3,6,1,4,2,5]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,3,6,1,4,5,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,3,6,1,5,2,4]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,3,6,1,5,4,2]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,3,6,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,3,6,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [7,3,6,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,3,6,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,3,6,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [7,3,6,2,5,4,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,3,6,4,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,3,6,4,1,5,2]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,3,6,4,2,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,3,6,4,2,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,3,6,4,5,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,3,6,4,5,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,3,6,5,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,3,6,5,1,4,2]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,3,6,5,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,3,6,5,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,3,6,5,4,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,3,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>111110 [7,4,1,2,3,5,6]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [7,4,1,2,3,6,5]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,4,1,2,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,4,1,2,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,4,1,2,6,3,5]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,4,1,2,6,5,3]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,4,1,3,2,5,6]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,4,1,3,2,6,5]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,4,1,3,5,2,6]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,4,1,3,5,6,2]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,4,1,3,6,2,5]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,4,1,3,6,5,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,4,1,5,2,3,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,4,1,5,2,6,3]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [7,4,1,5,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,4,1,5,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,4,1,5,6,2,3]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [7,4,1,5,6,3,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,4,1,6,2,3,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,4,1,6,2,5,3]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,4,1,6,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,4,1,6,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,4,1,6,5,2,3]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,4,1,6,5,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,4,2,1,3,5,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,4,2,1,3,6,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,4,2,1,5,3,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,4,2,1,5,6,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,4,2,1,6,3,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,4,2,1,6,5,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [7,4,2,3,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,4,2,3,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,4,2,3,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,4,2,3,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,4,2,3,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,4,2,3,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,4,2,5,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,4,2,5,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,4,2,5,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,4,2,5,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,4,2,5,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,4,2,5,6,3,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,4,2,6,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,4,2,6,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [7,4,2,6,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,4,2,6,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,4,2,6,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [7,4,2,6,5,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,4,3,1,2,5,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,4,3,1,2,6,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,4,3,1,5,2,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,4,3,1,5,6,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,4,3,1,6,2,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,4,3,1,6,5,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [7,4,3,2,1,5,6]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,4,3,2,1,6,5]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,4,3,2,5,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,4,3,2,6,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,4,3,5,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,4,3,5,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,4,3,5,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,4,3,5,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,4,3,5,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,4,3,5,6,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,4,3,6,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,4,3,6,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [7,4,3,6,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,4,3,6,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,4,3,6,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [7,4,3,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,4,5,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,4,5,1,2,6,3]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [7,4,5,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,4,5,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,4,5,1,6,2,3]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [7,4,5,1,6,3,2]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,4,5,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,4,5,2,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,4,5,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,4,5,2,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,4,5,2,6,3,1]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [7,4,5,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,4,5,3,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [7,4,5,3,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [7,4,5,3,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [7,4,5,3,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [7,4,5,3,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [7,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [7,4,5,6,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,4,5,6,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,4,5,6,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [7,4,5,6,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [7,4,5,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [7,4,6,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,4,6,1,2,5,3]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,4,6,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,4,6,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,4,6,1,5,2,3]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,4,6,1,5,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,4,6,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,4,6,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [7,4,6,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,4,6,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [7,4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,4,6,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,4,6,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [7,4,6,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,4,6,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,4,6,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [7,4,6,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,4,6,5,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,4,6,5,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,4,6,5,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,4,6,5,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,4,6,5,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,4,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>111110 [7,5,1,2,3,4,6]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [7,5,1,2,3,6,4]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [7,5,1,2,4,3,6]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,5,1,2,4,6,3]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,5,1,2,6,3,4]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [7,5,1,2,6,4,3]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,5,1,3,2,4,6]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,5,1,3,2,6,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,5,1,3,4,2,6]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,5,1,3,4,6,2]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,5,1,3,6,2,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,5,1,3,6,4,2]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,5,1,4,2,3,6]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,5,1,4,2,6,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,5,1,4,3,2,6]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,5,1,4,3,6,2]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,5,1,4,6,2,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,5,1,4,6,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,5,1,6,2,3,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [7,5,1,6,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,5,1,6,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,5,1,6,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,5,1,6,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,5,1,6,4,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,5,2,1,3,4,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,5,2,1,3,6,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,5,2,1,4,3,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,5,2,1,4,6,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,5,2,1,6,3,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,5,2,1,6,4,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [7,5,2,3,1,4,6]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,5,2,3,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,5,2,3,4,1,6]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,5,2,3,4,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,5,2,3,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,5,2,3,6,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [7,5,2,4,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,5,2,4,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,5,2,4,3,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,5,2,4,3,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,5,2,4,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,5,2,4,6,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,5,2,6,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,5,2,6,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [7,5,2,6,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [7,5,2,6,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [7,5,2,6,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [7,5,2,6,4,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,5,3,1,2,4,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,5,3,1,2,6,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,5,3,1,4,2,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,5,3,1,4,6,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,5,3,1,6,2,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,5,3,1,6,4,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [7,5,3,2,1,4,6]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,5,3,2,1,6,4]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,5,3,2,4,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,5,3,2,4,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,5,3,2,6,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,5,3,2,6,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,5,3,4,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,5,3,4,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,5,3,4,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,5,3,4,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,5,3,4,6,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,5,3,6,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,5,3,6,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [7,5,3,6,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,5,3,6,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [7,5,3,6,4,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [7,5,4,1,2,3,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,5,4,1,2,6,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,5,4,1,3,2,6]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,5,4,1,3,6,2]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,5,4,1,6,2,3]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,5,4,1,6,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,5,4,2,1,3,6]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,5,4,2,1,6,3]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,5,4,2,3,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,5,4,2,3,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,5,4,2,6,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,5,4,2,6,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,5,4,3,1,2,6]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,5,4,3,1,6,2]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,5,4,3,2,1,6]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>111110 [7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>111110 [7,5,4,3,6,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,5,4,3,6,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>111110 [7,5,4,6,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,5,4,6,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,5,4,6,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,5,4,6,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,5,4,6,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,5,4,6,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>111110 [7,5,6,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [7,5,6,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,5,6,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,5,6,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,5,6,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,5,6,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,5,6,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,5,6,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [7,5,6,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [7,5,6,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [7,5,6,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [7,5,6,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,5,6,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,5,6,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [7,5,6,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,5,6,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [7,5,6,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [7,5,6,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [7,5,6,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,5,6,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [7,5,6,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [7,5,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>111110 [7,6,1,2,3,4,5]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [7,6,1,2,3,5,4]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,6,1,2,4,3,5]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,6,1,2,4,5,3]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,6,1,2,5,3,4]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,6,1,2,5,4,3]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,6,1,3,2,4,5]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,6,1,3,2,5,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,6,1,3,4,2,5]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,6,1,3,4,5,2]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,6,1,3,5,2,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,6,1,3,5,4,2]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,6,1,4,2,3,5]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,6,1,4,2,5,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,6,1,4,3,2,5]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,6,1,4,3,5,2]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,6,1,4,5,2,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,6,1,4,5,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,6,1,5,2,3,4]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,6,1,5,2,4,3]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,6,1,5,3,2,4]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,6,1,5,3,4,2]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,6,1,5,4,2,3]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,6,1,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>111110 [7,6,2,1,3,4,5]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,6,2,1,3,5,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,6,2,1,4,3,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,6,2,1,4,5,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,6,2,1,5,3,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,6,2,1,5,4,3]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,6,2,3,1,4,5]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [7,6,2,3,1,5,4]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,6,2,3,4,1,5]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [7,6,2,3,4,5,1]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [7,6,2,3,5,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,6,2,3,5,4,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,6,2,4,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,6,2,4,1,5,3]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,6,2,4,3,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,6,2,4,3,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,6,2,4,5,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,6,2,4,5,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,6,2,5,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,6,2,5,1,4,3]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,6,2,5,3,1,4]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,6,2,5,3,4,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,6,2,5,4,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,6,2,5,4,3,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>111110 [7,6,3,1,2,4,5]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,6,3,1,2,5,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,6,3,1,4,2,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,6,3,1,4,5,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,6,3,1,5,2,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,6,3,1,5,4,2]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,6,3,2,1,4,5]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,6,3,2,1,5,4]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,6,3,2,4,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,6,3,2,4,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,6,3,2,5,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,6,3,2,5,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,6,3,4,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,6,3,4,1,5,2]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [7,6,3,4,2,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [7,6,3,4,2,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [7,6,3,4,5,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [7,6,3,5,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,6,3,5,1,4,2]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,6,3,5,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,6,3,5,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,6,3,5,4,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>111110 [7,6,4,1,2,3,5]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,6,4,1,2,5,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [7,6,4,1,3,2,5]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,6,4,1,3,5,2]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,6,4,1,5,2,3]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [7,6,4,1,5,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,6,4,2,1,3,5]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,6,4,2,1,5,3]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,6,4,2,3,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,6,4,2,3,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,6,4,2,5,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,6,4,2,5,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [7,6,4,3,1,2,5]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,6,4,3,1,5,2]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,6,4,3,2,1,5]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>111110 [7,6,4,3,2,5,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>111110 [7,6,4,3,5,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>111110 [7,6,4,5,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [7,6,4,5,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,6,4,5,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,6,4,5,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [7,6,4,5,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [7,6,4,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>111110 [7,6,5,1,2,3,4]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [7,6,5,1,2,4,3]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,6,5,1,3,2,4]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,6,5,1,3,4,2]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,6,5,1,4,2,3]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,6,5,1,4,3,2]=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>111110 [7,6,5,2,1,3,4]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,6,5,2,1,4,3]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,6,5,2,3,1,4]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [7,6,5,2,3,4,1]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [7,6,5,2,4,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,6,5,2,4,3,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>111110 [7,6,5,3,1,2,4]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,6,5,3,1,4,2]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [7,6,5,3,2,1,4]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>111110 [7,6,5,3,2,4,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>111110 [7,6,5,3,4,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [7,6,5,3,4,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>111110 [7,6,5,4,1,2,3]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [7,6,5,4,1,3,2]=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>111110 [7,6,5,4,2,1,3]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>111110 [7,6,5,4,2,3,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>111110 [7,6,5,4,3,1,2]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>111110 [7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>111111 [8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>1111111 [7,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110 [8,6,7,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>1111110 [7,6,8,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>1111110 [6,7,8,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [8,7,5,6,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>1111110 [7,8,5,6,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [8,6,5,7,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>1111110 [8,5,6,7,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [7,6,5,8,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>1111110 [6,7,5,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [7,5,6,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [6,5,7,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [5,6,7,8,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>1111110 [8,6,7,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>1111010 [7,6,8,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>1111010 [8,7,5,4,6,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>1111110 [8,7,4,5,6,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [8,6,5,4,7,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>1111110 [8,5,6,4,7,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [8,6,4,5,7,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [8,4,5,6,7,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [7,6,5,4,8,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>1111110 [6,7,5,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [7,5,6,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [6,5,7,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [5,6,7,4,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [7,6,4,5,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [6,7,4,5,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [7,5,4,6,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [7,4,5,6,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [6,5,4,7,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [5,6,4,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [6,4,5,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [5,4,6,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [4,5,6,7,8,3,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [8,7,6,5,3,4,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110 [8,6,7,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [7,6,8,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [8,7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>1111010 [7,8,5,6,3,4,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010 [8,5,6,7,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [7,6,5,8,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>1111010 [6,5,7,8,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [5,6,7,8,3,4,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [8,7,6,4,3,5,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110 [8,6,7,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [7,6,8,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [6,7,8,4,3,5,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [8,7,6,3,4,5,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [6,7,8,3,4,5,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110 [8,7,4,5,3,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [8,7,5,3,4,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [8,7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [7,8,3,4,5,6,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [8,6,5,4,3,7,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110 [8,6,4,3,5,7,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [8,5,4,3,6,7,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [8,5,3,4,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [8,4,3,5,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [8,3,4,5,6,7,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [7,6,5,4,3,8,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110 [6,7,5,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [5,6,7,4,3,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [6,7,4,5,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100 [7,5,4,6,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [7,4,5,6,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [6,5,4,7,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [6,4,5,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [5,4,6,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [4,5,6,7,3,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [7,6,5,3,4,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [7,6,4,3,5,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [7,6,3,4,5,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [7,5,4,3,6,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [7,5,3,4,6,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [7,3,4,5,6,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [6,5,4,3,7,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [6,5,3,4,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [6,3,4,5,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [5,4,3,6,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [5,3,4,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [4,3,5,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [3,4,5,6,7,8,2,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [8,7,6,5,4,2,3,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110 [7,8,6,5,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [8,6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [7,6,8,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [8,7,5,6,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>1111010 [8,6,5,7,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>1111010 [7,6,5,8,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>1111010 [5,6,7,8,4,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [8,7,6,4,5,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [8,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [7,6,8,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,7,5,4,6,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [8,7,4,5,6,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [7,8,4,5,6,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [8,6,5,4,7,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [8,5,6,4,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,6,4,5,7,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [7,6,5,4,8,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [7,5,6,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [6,5,7,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [6,7,4,5,8,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [4,5,6,7,8,2,3,1]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [8,7,6,5,3,2,4,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110 [7,8,6,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [8,6,7,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [7,6,8,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [8,7,5,6,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>1111010 [8,6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>1111010 [7,6,5,8,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>1111010 [5,6,7,8,3,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [8,7,6,5,2,3,4,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [8,6,7,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [7,6,8,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [6,7,8,5,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [8,7,5,6,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [7,8,5,6,2,3,4,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [8,6,5,7,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [8,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [7,6,5,8,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [6,7,5,8,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [6,5,7,8,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [5,6,7,8,2,3,4,1]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [8,7,6,4,3,2,5,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110 [7,8,6,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [8,6,7,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [7,6,8,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [8,7,6,3,4,2,5,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [8,6,7,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [7,6,8,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [6,7,8,3,4,2,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [7,6,8,4,2,3,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [6,7,8,4,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [8,7,6,3,2,4,5,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [7,8,6,3,2,4,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [8,6,7,3,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [6,7,8,3,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [8,7,6,2,3,4,5,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [8,6,7,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [7,6,8,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [6,7,8,2,3,4,5,1]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [8,7,5,4,3,2,6,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110 [7,8,5,4,3,2,6,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [8,7,5,3,4,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [8,7,4,3,5,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [8,7,5,3,2,4,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [8,7,4,3,2,5,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [7,8,4,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [7,8,3,4,2,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [8,7,2,3,4,5,6,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [7,8,2,3,4,5,6,1]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110 [8,5,6,4,3,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [8,6,4,5,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>1111100 [8,5,4,6,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>1111100 [8,6,5,3,4,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [8,5,6,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [8,5,4,3,6,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [8,4,5,3,6,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,6,5,4,2,3,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [8,6,5,3,2,4,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [8,6,4,3,2,5,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [8,6,4,2,3,5,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [8,6,2,3,4,5,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [8,4,5,3,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [8,3,4,5,2,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [8,5,4,2,3,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [8,4,5,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [8,3,4,2,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [8,4,2,3,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [7,6,5,4,3,2,8,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110 [6,7,5,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [7,5,6,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [6,5,7,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [5,6,7,4,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [7,6,4,5,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>1111100 [6,7,4,5,3,2,8,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>1110100 [7,4,5,6,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>1111000 [6,5,4,7,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>1111100 [6,4,5,7,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>1111000 [4,5,6,7,3,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [7,6,5,3,4,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [7,5,6,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [6,5,7,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [7,6,4,3,5,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [7,5,4,3,6,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [7,4,5,3,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [6,5,4,3,7,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [6,4,5,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [5,4,6,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [4,5,6,3,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [5,6,3,4,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [3,4,5,6,7,2,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [7,6,5,4,2,3,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [6,7,5,4,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [7,5,6,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [6,5,7,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [7,6,4,5,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [6,7,4,5,2,3,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [7,5,4,6,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [6,5,4,7,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [5,6,4,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [4,5,6,7,2,3,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [7,6,5,3,2,4,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [6,7,5,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [6,5,7,3,2,4,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [7,6,5,2,3,4,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [7,5,6,2,3,4,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [5,6,7,2,3,4,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [6,7,4,3,2,5,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [7,6,4,2,3,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [7,6,3,2,4,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [7,6,2,3,4,5,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [6,7,2,3,4,5,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [7,5,4,3,2,6,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [7,4,3,5,2,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [7,5,4,2,3,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [7,4,5,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [7,5,3,2,4,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [7,5,2,3,4,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [7,4,3,2,5,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [7,3,2,4,5,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [7,2,3,4,5,6,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [6,5,4,3,2,7,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [5,4,6,3,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [4,5,6,3,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [6,5,3,4,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [6,3,4,5,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [5,4,3,6,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [4,3,5,6,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [3,4,5,6,2,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [6,5,4,2,3,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [6,4,5,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [5,4,6,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [4,5,6,2,3,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [6,5,3,2,4,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [6,5,2,3,4,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [6,2,3,4,5,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [5,4,3,2,6,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [5,3,4,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [4,3,5,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [3,4,5,2,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [5,4,2,3,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [4,5,2,3,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [5,3,2,4,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [5,2,3,4,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [4,3,2,5,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [3,4,2,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [4,2,3,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [3,2,4,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [2,3,4,5,6,7,8,1]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000 [8,7,6,5,4,3,1,2]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110 [7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [8,6,7,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [7,6,8,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [6,7,8,5,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [7,8,5,6,4,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [7,5,6,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [6,5,7,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [5,6,7,8,4,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [8,7,6,4,5,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [8,6,7,4,5,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>1101010 [8,7,5,4,6,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [8,6,4,5,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [8,5,4,6,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [7,6,5,4,8,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [7,6,4,5,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [6,5,4,7,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [5,4,6,7,8,3,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [4,5,6,7,8,3,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [8,7,6,5,3,4,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [7,6,8,5,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>1101010 [6,7,8,5,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [8,7,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [8,6,5,7,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,5,6,7,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [7,6,5,8,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [6,7,5,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [7,5,6,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [6,5,7,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [5,6,7,8,3,4,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [6,7,8,4,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [8,7,4,5,3,6,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [7,8,4,5,3,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,5,3,4,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [7,8,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [8,7,3,4,5,6,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [7,8,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [8,6,5,4,3,7,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,5,4,6,3,7,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [8,5,3,4,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [8,4,3,5,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [8,3,4,5,6,7,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [7,6,5,4,3,8,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [7,5,6,4,3,8,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [5,6,7,4,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [6,7,4,5,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,5,4,6,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [6,5,4,7,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [5,6,4,7,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [4,5,6,7,3,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [7,6,3,4,5,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [7,4,5,3,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [7,5,3,4,6,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [7,3,4,5,6,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [5,6,4,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [5,4,6,3,7,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [4,5,6,3,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [5,6,3,4,7,8,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [6,4,3,5,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [6,3,4,5,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [5,4,3,6,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [4,5,3,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [5,3,4,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [4,3,5,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [3,4,5,6,7,8,1,2]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [8,7,6,5,4,2,1,3]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110 [7,8,6,5,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [8,6,7,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [7,6,8,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [6,7,8,5,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [7,8,5,6,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [7,5,6,8,4,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [6,5,7,8,4,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [5,6,7,8,4,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [8,7,6,4,5,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [8,4,5,6,7,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [7,6,5,4,8,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [6,7,5,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [7,6,4,5,8,2,1,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [7,4,5,6,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [5,4,6,7,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [4,5,6,7,8,2,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [8,7,6,5,4,1,2,3]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,8,6,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [7,6,8,5,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [6,7,8,5,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [8,6,5,7,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [8,5,6,7,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [7,6,5,8,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [7,5,6,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [6,5,7,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [5,6,7,8,4,1,2,3]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [8,7,6,4,5,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,6,7,4,5,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,7,8,4,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [8,7,5,4,6,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,8,5,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [8,7,4,5,6,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [7,8,4,5,6,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [8,6,5,4,7,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,5,6,4,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [8,6,4,5,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,5,4,6,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,4,5,6,7,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [7,6,5,4,8,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,7,5,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [6,5,7,4,8,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [5,6,7,4,8,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [6,7,4,5,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [7,5,4,6,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [6,5,4,7,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [5,6,4,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [5,4,6,7,8,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [4,5,6,7,8,1,2,3]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [8,7,6,5,3,2,1,4]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110 [7,8,6,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [8,6,7,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [7,6,8,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [6,7,8,5,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [7,8,5,6,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [8,5,6,7,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [7,5,6,8,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [6,5,7,8,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [5,6,7,8,3,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [8,7,6,5,2,3,1,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,6,7,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [7,6,8,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [6,7,8,5,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [8,7,5,6,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [7,8,5,6,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [8,6,5,7,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [8,5,6,7,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [7,6,5,8,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [6,7,5,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [7,5,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [6,5,7,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [5,6,7,8,2,3,1,4]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [8,7,6,5,3,1,2,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,8,6,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,6,7,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [7,6,8,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [8,7,5,6,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [7,6,5,8,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [7,5,6,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [6,5,7,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [5,6,7,8,3,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [8,7,6,5,2,1,3,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,8,6,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [7,6,8,5,2,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [6,7,8,5,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [8,7,5,6,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [8,6,5,7,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [8,5,6,7,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [7,6,5,8,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [7,5,6,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [6,5,7,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [5,6,7,8,2,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [8,7,6,5,1,2,3,4]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,6,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [6,7,8,5,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [8,7,5,6,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,8,5,6,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [8,6,5,7,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,5,6,7,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [7,6,5,8,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,7,5,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [7,5,6,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,5,7,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [8,7,6,4,3,2,1,5]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110 [7,8,6,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [8,6,7,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [7,6,8,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [6,7,8,4,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [8,7,6,3,4,2,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [6,7,8,3,4,2,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [8,7,6,4,2,3,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [7,6,8,4,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [6,7,8,4,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [8,7,6,3,2,4,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,6,7,3,2,4,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [6,7,8,3,2,4,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [8,7,6,2,3,4,1,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [8,6,7,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [7,6,8,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [6,7,8,2,3,4,1,5]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [8,7,6,4,3,1,2,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [6,7,8,4,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [8,7,6,3,4,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,8,6,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [8,6,7,3,4,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,7,8,3,4,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [8,7,6,4,2,1,3,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,8,6,4,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,6,7,4,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [6,7,8,4,2,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [8,7,6,4,1,2,3,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,6,4,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [6,7,8,4,1,2,3,5]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [8,7,6,3,2,1,4,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,8,6,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,6,7,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [7,6,8,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [6,7,8,3,2,1,4,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [8,7,6,2,3,1,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [8,6,7,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [7,6,8,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [8,7,6,3,1,2,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,6,3,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [6,7,8,3,1,2,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [8,7,6,2,1,3,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,6,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [6,7,8,2,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [8,7,6,1,2,3,4,5]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [7,8,6,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [8,6,7,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,6,8,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,7,8,1,2,3,4,5]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [8,7,5,4,3,2,1,6]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110 [7,8,5,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [8,7,4,5,3,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>1111100 [7,8,4,5,3,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [8,7,5,3,4,2,1,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [8,7,3,4,5,2,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [8,7,4,5,2,3,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [7,8,4,5,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [8,7,5,3,2,4,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,7,4,3,2,5,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,7,3,4,2,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000 [7,8,3,4,2,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [8,7,2,3,4,5,1,6]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [7,8,2,3,4,5,1,6]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [8,7,5,4,3,1,2,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,8,5,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,7,5,3,4,1,2,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,7,3,4,5,1,2,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [7,8,3,4,5,1,2,6]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [7,8,5,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,7,5,4,1,2,3,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,5,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [8,7,4,5,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,8,4,5,1,2,3,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [8,7,5,3,2,1,4,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,8,5,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,7,5,3,1,2,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,5,3,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [8,7,5,2,1,3,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,5,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [8,7,5,1,2,3,4,6]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [7,8,5,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [8,7,4,3,2,1,5,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,8,4,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,7,3,4,2,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [8,7,3,2,4,1,5,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [8,7,2,3,4,1,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [7,8,4,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [8,7,3,4,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,8,3,4,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [8,7,4,2,1,3,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,4,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [8,7,4,1,2,3,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [7,8,4,1,2,3,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [8,7,3,2,1,4,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,8,3,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [8,7,2,3,1,4,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [7,8,2,3,1,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [7,8,3,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [8,7,2,1,3,4,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [7,8,2,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [8,7,1,2,3,4,5,6]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [7,8,1,2,3,4,5,6]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [8,6,5,4,3,2,1,7]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110 [8,5,6,4,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>1111100 [8,6,4,5,3,2,1,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>1111100 [8,4,5,6,3,2,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [8,6,5,3,4,2,1,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [8,4,5,3,6,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [8,4,3,5,6,2,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [8,6,5,4,2,3,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,5,6,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [8,4,5,6,2,3,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>1101000 [8,6,5,3,2,4,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,6,5,2,3,4,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [8,5,6,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [8,6,4,2,3,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [8,6,3,2,4,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [8,5,4,3,2,6,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,4,3,5,2,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000 [8,5,4,2,3,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [8,4,5,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [8,5,3,2,4,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [8,5,2,3,4,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [8,3,2,4,5,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [8,6,5,4,3,1,2,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [8,6,4,5,3,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [8,6,5,3,4,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,5,6,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,6,3,4,5,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [8,5,4,3,6,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,4,5,3,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [8,5,3,4,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [8,4,3,5,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [8,3,4,5,6,1,2,7]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [8,6,5,4,2,1,3,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [8,5,6,4,2,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [8,6,5,4,1,2,3,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [8,6,4,5,1,2,3,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,4,5,6,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [8,6,5,3,2,1,4,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [8,5,6,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [8,6,5,2,3,1,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [8,5,6,2,3,1,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [8,6,5,2,1,3,4,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [8,6,5,1,2,3,4,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [8,5,6,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,6,4,3,2,1,5,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [8,6,3,4,2,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [8,6,4,2,3,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [8,6,3,2,4,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [8,6,2,3,4,1,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [8,6,4,3,1,2,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [8,6,3,4,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,6,4,2,1,3,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [8,6,4,1,2,3,5,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [8,6,3,2,1,4,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [8,6,1,2,3,4,5,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [8,5,4,3,2,1,6,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [8,4,5,3,2,1,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>1111000 [8,4,3,5,2,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [8,4,5,2,3,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [8,5,2,3,4,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [8,4,2,3,5,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [8,2,3,4,5,1,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [8,5,3,4,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,5,4,2,1,3,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [8,5,4,1,2,3,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [8,4,5,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,5,3,2,1,4,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [8,5,3,1,2,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [8,5,2,1,3,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [8,5,1,2,3,4,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [8,4,3,2,1,5,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [8,3,4,2,1,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [8,4,2,3,1,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [8,2,3,4,1,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [8,3,4,1,2,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,4,2,1,3,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [8,4,1,2,3,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [8,3,2,1,4,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [8,2,3,1,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [8,3,1,2,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [8,2,1,3,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [8,1,2,3,4,5,6,7]=>[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000 [7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110 [6,7,5,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [7,5,6,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>1111100 [6,5,7,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>1111100 [5,6,7,4,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [7,6,4,5,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>1111100 [6,7,4,5,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [7,5,4,6,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>1111100 [7,4,5,6,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [6,5,4,7,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>1111100 [5,4,6,7,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [4,5,6,7,3,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [7,6,5,3,4,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [5,6,7,3,4,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [7,5,4,3,6,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [6,5,4,3,7,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [5,6,4,3,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>1111000 [5,4,6,3,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [5,4,3,6,7,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [3,4,5,6,7,2,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [7,6,5,4,2,3,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [7,5,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [5,6,7,4,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000 [7,6,4,5,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [6,7,4,5,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,5,4,6,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [6,5,4,7,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [5,6,4,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [5,4,6,7,2,3,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>1101000 [4,5,6,7,2,3,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000 [7,6,5,3,2,4,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [6,5,7,3,2,4,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [5,6,7,3,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000 [7,6,5,2,3,4,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [7,5,6,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [6,5,7,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [5,6,7,2,3,4,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [7,6,4,3,2,5,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [6,7,3,4,2,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [7,6,4,2,3,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [7,6,3,2,4,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [7,6,2,3,4,5,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [6,7,2,3,4,5,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000 [7,4,3,5,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000 [7,4,5,2,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [7,5,3,2,4,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [7,4,2,3,5,6,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [6,5,4,3,2,7,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [5,6,4,3,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6,8]=>1111000 [5,6,3,4,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [5,4,3,6,2,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000 [4,5,3,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [3,4,5,6,2,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [5,4,6,2,3,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [6,5,3,2,4,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [6,4,2,3,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [6,3,2,4,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [6,2,3,4,5,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [5,4,3,2,6,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [3,4,5,2,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>1100000 [5,4,2,3,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [4,5,2,3,6,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [5,2,3,4,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [4,3,2,5,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [3,4,2,5,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [4,2,3,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [3,2,4,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [2,3,4,5,6,7,1,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000 [7,6,5,4,3,1,2,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [6,7,5,4,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [7,5,6,4,3,1,2,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [7,6,4,5,3,1,2,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [4,5,6,7,3,1,2,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>1010000 [7,6,5,3,4,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,7,3,4,5,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [6,5,4,3,7,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,4,5,3,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [5,6,3,4,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [6,3,4,5,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [4,3,5,6,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [3,4,5,6,7,1,2,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [7,6,5,4,2,1,3,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [6,5,7,4,2,1,3,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [7,6,4,5,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [7,5,4,6,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [4,5,6,7,2,1,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>1010000 [7,6,5,4,1,2,3,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [5,6,7,4,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [7,4,5,6,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [5,4,6,7,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [4,5,6,7,1,2,3,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [7,6,5,3,2,1,4,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,6,5,2,3,1,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [7,5,6,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [6,5,7,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [7,6,5,2,1,3,4,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [6,7,5,2,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [5,6,7,2,1,3,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [7,6,5,1,2,3,4,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [6,7,5,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [7,5,6,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,5,7,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [5,6,7,1,2,3,4,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [7,6,4,3,2,1,5,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [6,7,4,3,2,1,5,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [7,6,3,4,2,1,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [7,6,4,2,3,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [7,6,3,2,4,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [7,6,2,3,4,1,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [7,6,4,3,1,2,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [6,7,3,4,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [7,6,4,2,1,3,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,6,3,2,1,4,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [6,7,3,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [7,6,2,3,1,4,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [6,7,2,3,1,4,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [6,7,3,1,2,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [7,6,1,2,3,4,5,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [6,7,1,2,3,4,5,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [7,5,4,3,2,1,6,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [7,4,5,3,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>1111000 [7,4,3,5,2,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [7,5,4,2,3,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [7,5,3,2,4,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [7,5,2,3,4,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [7,4,2,3,5,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [7,2,3,4,5,1,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [7,5,4,3,1,2,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,4,5,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,5,3,2,1,4,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,5,2,3,1,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [7,5,3,1,2,4,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [7,5,1,2,3,4,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [7,4,3,2,1,5,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [7,2,3,4,1,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [7,4,3,1,2,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [7,3,4,1,2,5,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,4,1,2,3,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [7,3,2,1,4,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [7,2,3,1,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [7,3,1,2,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [7,2,1,3,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [7,1,2,3,4,5,6,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000 [6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [5,6,4,3,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [5,4,6,3,2,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>1111000 [4,5,6,3,2,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [5,4,3,6,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [5,4,6,2,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [6,5,2,3,4,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [5,4,3,2,6,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [4,5,3,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [4,3,5,2,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>1110000 [3,4,5,2,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [5,3,2,4,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [5,2,3,4,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [4,3,2,5,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [3,4,2,5,6,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [4,2,3,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [3,2,4,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [2,3,4,5,6,1,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>1000000 [6,5,4,3,1,2,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [5,6,3,4,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,4,3,6,1,2,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,5,4,2,1,3,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [5,6,4,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [6,5,4,1,2,3,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [6,5,3,2,1,4,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [5,6,3,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [5,6,2,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [6,4,3,2,1,5,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [6,3,4,2,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [6,4,3,1,2,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [6,4,2,1,3,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [6,4,1,2,3,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [6,2,3,1,4,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [6,3,1,2,4,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [6,1,2,3,4,5,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000 [5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [4,5,3,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000 [5,3,4,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [4,3,5,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [3,4,5,2,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [5,4,2,3,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [4,5,2,3,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [4,3,2,5,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [3,4,2,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [4,2,3,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [3,2,4,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [2,3,4,5,1,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>1000000 [5,4,3,1,2,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [5,3,4,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [4,3,5,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [3,4,5,1,2,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [5,4,2,1,3,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [4,5,2,1,3,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [5,4,1,2,3,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [4,5,1,2,3,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [5,3,2,1,4,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [5,2,3,1,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [5,3,1,2,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [5,2,1,3,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [5,1,2,3,4,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000 [4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [3,4,2,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>1100000 [4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [3,2,4,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [2,3,4,1,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000 [4,3,1,2,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [4,2,1,3,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [4,1,2,3,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000 [3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [2,3,1,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000 [3,1,2,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000 [2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000 [1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>0000000 [6,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110 [5,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110 [5,7,8,6,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [6,5,8,7,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [5,6,8,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [5,7,6,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [4,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110 [4,7,8,6,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [4,6,8,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [4,7,6,8,5,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [4,6,7,8,5,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [5,4,7,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [4,5,8,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [4,5,7,8,6,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [5,6,4,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [4,6,5,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [4,5,6,8,7,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [5,7,6,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [4,7,6,5,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [4,6,7,5,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [5,4,7,6,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [4,5,7,6,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [4,6,5,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [3,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110 [3,7,8,6,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [3,6,8,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [3,7,6,8,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [3,5,8,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [3,5,7,8,6,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [3,5,6,8,7,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [3,7,6,5,8,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [3,5,7,6,8,4,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [3,5,6,7,8,4,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [4,3,8,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [4,3,7,8,6,5,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [4,3,6,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [3,4,8,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [3,4,6,7,8,5,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [5,4,3,8,7,6,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [5,4,3,7,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [3,5,4,7,8,6,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [3,4,5,8,7,6,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [3,4,5,7,8,6,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [6,5,4,3,8,7,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [5,6,4,3,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [4,5,6,3,8,7,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [3,6,5,4,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [4,3,6,5,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [5,4,3,6,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [4,5,3,6,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [3,4,5,6,8,7,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [5,7,6,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [4,7,6,5,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [3,7,6,5,4,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [3,5,7,6,4,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [3,5,6,7,4,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [3,4,7,6,5,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [3,4,6,7,5,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [4,5,3,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [3,5,4,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [4,3,5,7,6,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [3,4,5,7,6,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [3,5,6,4,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [4,3,6,5,7,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [3,4,6,5,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [2,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110 [2,7,8,6,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [2,6,8,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [2,7,6,8,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [2,6,7,8,5,4,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [2,5,8,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [2,6,7,5,8,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [2,5,6,7,8,4,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,4,8,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [2,4,7,8,6,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [2,4,6,8,7,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [2,4,6,7,8,5,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,5,4,8,7,6,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [2,5,4,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [2,4,5,7,8,6,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,6,5,4,8,7,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [2,5,6,4,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [2,4,6,5,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [2,4,5,6,8,7,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,7,6,5,4,8,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [2,5,6,7,4,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [2,4,7,6,5,8,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [2,4,6,7,5,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [2,5,4,7,6,8,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [2,5,6,4,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [2,4,6,5,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [2,4,5,6,7,8,3,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [3,2,8,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [3,2,7,8,6,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [3,2,6,8,7,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [3,2,5,7,8,6,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [3,2,5,7,6,8,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [2,3,8,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [2,3,6,7,8,5,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,3,5,7,8,6,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,3,6,5,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [2,3,5,6,8,7,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,3,7,6,5,8,4,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [2,3,5,7,6,8,4,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [2,3,5,6,7,8,4,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [4,3,2,8,7,6,5,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [4,3,2,7,8,6,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [3,4,2,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [3,4,2,7,8,6,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [2,4,3,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [2,4,3,6,8,7,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [2,4,3,6,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [3,2,4,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [2,3,4,8,7,6,5,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [2,3,4,7,8,6,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,3,4,6,8,7,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,3,4,7,6,8,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [2,3,4,6,7,8,5,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [5,4,3,2,8,7,6,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010 [3,5,4,2,7,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [3,4,5,2,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [2,5,4,3,8,7,6,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [2,5,4,3,7,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [2,4,5,3,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [3,2,5,4,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,3,5,4,8,7,6,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [2,3,5,4,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [4,3,2,5,8,7,6,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [4,3,2,5,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [3,4,2,5,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [3,4,2,5,7,8,6,1]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,3,4,5,8,7,6,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [2,3,4,5,7,8,6,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [6,5,4,3,2,8,7,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>1111010 [4,5,6,3,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [3,5,6,4,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [4,3,6,5,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [5,4,3,6,2,8,7,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [4,5,3,6,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [3,4,5,6,2,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [2,4,6,5,3,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [2,4,5,6,3,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [3,2,6,5,4,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [2,3,5,6,4,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [4,3,2,6,5,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [2,4,3,6,5,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [3,2,4,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,3,4,6,5,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [2,5,4,3,6,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [2,4,5,3,6,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [3,2,5,4,6,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [4,3,2,5,6,8,7,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [3,4,2,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,4,3,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,3,4,5,6,8,7,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [5,7,6,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [4,7,6,5,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [4,6,7,5,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [3,5,7,6,4,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [3,5,6,7,4,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [4,3,7,6,5,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [4,3,6,7,5,2,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [3,4,7,6,5,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [3,4,6,7,5,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [3,4,5,7,6,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [4,6,5,3,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [3,6,5,4,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [3,5,6,4,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [4,3,6,5,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [3,4,6,5,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [2,7,6,5,4,3,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [2,5,6,7,4,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [2,4,6,7,5,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [2,4,6,5,7,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [2,4,5,6,7,3,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [3,2,7,6,5,4,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [3,2,6,7,5,4,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [3,2,5,7,6,4,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [3,2,6,5,7,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [2,3,7,6,5,4,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [2,3,5,7,6,4,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [2,3,5,6,7,4,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [4,3,2,7,6,5,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [4,3,2,6,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [3,4,2,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,4,3,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [3,2,4,7,6,5,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [2,3,4,7,6,5,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [2,3,4,6,7,5,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [4,3,5,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [3,2,5,4,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,3,2,5,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [3,4,2,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,4,3,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,3,4,5,7,6,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [3,5,6,4,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [3,4,6,5,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [3,5,4,6,2,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [2,5,6,4,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [2,4,6,5,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [2,4,5,6,3,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [2,3,6,5,4,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [2,3,5,6,4,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [4,3,2,6,5,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [3,4,2,6,5,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [2,4,3,6,5,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [2,3,4,6,5,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [2,4,5,3,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [3,2,5,4,6,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [2,3,5,4,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [2,4,3,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110 [1,7,8,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [1,6,8,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [1,7,6,8,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [1,6,7,8,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,5,8,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [1,6,5,8,7,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [1,7,6,5,8,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [1,6,7,5,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [1,5,7,6,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [1,6,5,7,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [1,5,6,7,8,4,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,4,8,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [1,4,7,8,6,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,4,6,8,7,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,4,6,7,8,5,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,5,4,7,8,6,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,4,5,8,7,6,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,4,6,5,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,7,6,5,4,8,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [1,4,7,6,5,8,3,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [1,4,6,7,5,8,3,2]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [1,5,6,4,7,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [1,4,5,6,7,8,3,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,3,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [1,3,7,8,6,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,3,6,8,7,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,3,6,7,8,5,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,3,5,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,3,5,7,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,3,5,6,8,7,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,3,6,7,5,8,4,2]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [1,3,6,5,7,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [1,3,5,6,7,8,4,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,4,3,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [1,4,3,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,4,3,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,4,3,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [1,4,3,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,3,4,8,7,6,5,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,3,4,7,6,8,5,2]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [1,3,4,6,7,8,5,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,5,4,3,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [1,4,5,3,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,4,5,3,7,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,3,5,4,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,4,3,5,8,7,6,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,4,3,5,7,8,6,2]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,3,4,5,8,7,6,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,3,4,5,7,8,6,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,5,6,4,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,4,6,5,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,4,5,6,3,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,3,6,5,4,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,4,3,6,5,8,7,2]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [1,5,4,3,6,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [1,4,5,3,6,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,3,4,5,6,8,7,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,7,6,5,4,3,8,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [1,6,7,5,4,3,8,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [1,5,6,7,4,3,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,4,6,7,5,3,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,5,6,4,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [1,4,6,5,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [1,4,5,6,7,3,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,3,6,5,7,4,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [1,3,5,6,7,4,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,3,4,7,6,5,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,3,4,6,7,5,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,3,4,5,7,6,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,5,4,6,3,7,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [1,4,3,6,5,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [1,3,4,6,5,7,8,2]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,4,5,3,6,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,4,3,5,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [1,3,4,5,6,7,8,2]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000 [2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [2,1,7,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [2,1,6,8,7,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [2,1,7,6,8,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [2,1,6,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,5,8,7,6,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [2,1,5,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,6,5,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [2,1,5,6,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,6,7,5,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [2,1,5,7,6,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [2,1,6,5,7,8,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [2,1,4,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [2,1,4,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,4,6,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,5,4,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [2,1,5,4,7,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,1,4,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,6,5,4,8,7,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [2,1,5,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,1,4,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,1,5,4,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,1,7,6,5,4,8,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [2,1,6,7,5,4,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [2,1,5,7,6,4,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [2,1,6,5,7,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [2,1,4,7,6,5,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [2,1,5,4,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,5,4,6,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [2,1,4,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [1,2,7,8,6,5,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,2,7,6,8,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [1,2,6,7,8,5,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,5,8,7,6,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,2,6,5,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,2,5,6,8,7,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,7,6,5,8,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [1,2,5,7,6,8,4,3]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [1,2,6,5,7,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [1,2,5,6,7,8,4,3]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,4,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,2,4,7,8,6,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,4,6,8,7,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,4,6,7,8,5,3]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,5,4,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,2,4,5,8,7,6,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,4,5,7,8,6,3]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,6,5,4,8,7,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,2,5,4,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,2,4,5,6,8,7,3]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,7,6,5,4,8,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [1,2,5,7,6,4,8,3]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,2,5,6,7,4,8,3]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,2,4,7,6,5,8,3]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,2,6,5,4,7,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [1,2,5,6,4,7,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,2,5,4,6,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,2,4,5,6,7,8,3]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000 [3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [3,2,1,7,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [3,2,1,6,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [3,2,1,7,6,8,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [3,2,1,6,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [3,2,1,5,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [3,2,1,5,7,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [3,2,1,6,5,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>0100100 [3,2,1,5,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [3,2,1,7,6,5,8,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [3,2,1,6,7,5,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [3,2,1,5,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [3,2,1,5,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [2,3,1,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [2,3,1,7,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [2,3,1,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [2,3,1,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [2,3,1,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,3,1,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,3,1,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [2,3,1,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,3,1,5,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,3,1,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [1,3,2,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,3,2,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [1,3,2,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,3,2,5,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,3,2,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,3,2,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [1,3,2,5,6,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,3,2,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [1,3,2,6,5,7,8,4]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [1,3,2,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [2,1,3,7,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,3,6,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,3,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,1,3,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [1,2,3,7,8,6,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,3,6,8,7,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,3,7,6,8,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [1,2,3,6,7,8,5,4]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,3,5,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,3,5,7,8,6,4]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,3,6,5,8,7,4]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,2,3,5,6,8,7,4]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,3,7,6,5,8,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,2,3,6,7,5,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,2,3,5,7,6,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,2,3,6,5,7,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,2,3,5,6,7,8,4]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000 [4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>0101010 [4,3,2,1,7,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [4,3,2,1,6,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [4,3,2,1,7,6,8,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [4,3,2,1,6,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [3,4,2,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [3,4,2,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [3,4,2,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [2,4,3,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [2,4,3,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [2,4,3,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [3,2,4,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [3,2,4,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [3,2,4,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [3,2,4,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [3,2,4,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [2,3,4,1,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [2,3,4,1,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [2,3,4,1,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [2,3,4,1,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [1,4,3,2,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [1,3,4,2,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,3,4,2,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,3,4,2,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,3,4,2,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [2,1,4,3,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,1,4,3,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,1,4,3,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,4,3,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,2,4,3,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,2,4,3,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,2,4,3,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [3,2,1,4,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [3,2,1,4,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [3,2,1,4,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [3,2,1,4,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [3,2,1,4,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [2,3,1,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [2,3,1,4,7,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,3,1,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,3,1,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,3,2,4,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,3,2,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [1,3,2,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,1,3,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,3,4,6,8,7,5]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000 [5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>1101010 [5,4,3,2,1,7,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [4,5,3,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [3,5,4,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [3,5,4,2,1,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [4,3,5,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [3,4,5,2,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [2,5,4,3,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [2,5,4,3,1,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [2,4,5,3,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [2,4,5,3,1,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [3,2,5,4,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [3,2,5,4,1,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [2,3,5,4,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [4,3,2,5,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [4,3,2,5,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [3,4,2,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [2,4,3,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [3,2,4,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [2,3,4,5,1,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [2,3,4,5,1,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [1,5,4,3,2,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [1,4,5,3,2,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [1,4,5,3,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,3,5,4,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,3,4,5,2,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,3,4,5,2,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [2,1,5,4,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [2,1,4,5,3,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [1,2,5,4,3,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,2,4,5,3,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,2,4,5,3,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,1,3,5,4,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,2,3,5,4,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [4,3,2,1,5,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [2,4,3,1,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [3,2,4,1,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [3,2,4,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [2,3,4,1,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [2,3,4,1,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [1,3,4,2,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,1,4,3,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,2,4,3,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [3,2,1,4,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [2,3,1,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,3,2,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [2,1,3,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000 [6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [5,6,4,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [4,6,5,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [5,4,6,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [4,5,6,3,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [3,6,5,4,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [3,5,6,4,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [4,3,6,5,2,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [3,4,6,5,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [5,4,3,6,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [4,5,3,6,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [4,3,5,6,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [3,4,5,6,2,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [2,6,5,4,3,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [2,5,6,4,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [2,4,6,5,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [3,2,6,5,4,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [3,2,5,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [2,3,6,5,4,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [2,3,5,6,4,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [4,3,2,6,5,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [3,4,2,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [2,4,3,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [4,5,3,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [3,5,4,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [4,3,5,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [3,4,5,2,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [2,5,4,3,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [2,4,5,3,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [3,2,5,4,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,3,2,5,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [3,4,2,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [2,4,3,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [2,3,4,5,6,1,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [1,6,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [1,5,6,4,3,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [1,5,4,6,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [1,3,6,5,4,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [1,3,4,5,6,2,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [2,1,6,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [2,1,5,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [2,1,4,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [2,1,5,4,6,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,4,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,2,4,5,6,3,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [3,2,1,6,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [2,3,1,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [1,3,2,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [1,3,2,5,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [2,1,3,5,6,4,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,2,3,6,5,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [1,2,3,5,6,4,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [4,3,2,1,6,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [3,4,2,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [2,4,3,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [3,2,4,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [2,3,4,1,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [1,3,4,2,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [1,2,4,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [2,3,1,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,3,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [2,1,3,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,2,3,4,6,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [5,4,3,2,1,6,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [4,5,3,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [3,5,4,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [3,4,5,2,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [2,5,4,3,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [2,4,5,3,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [3,2,5,4,1,6,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [2,3,5,4,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [2,3,4,5,1,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,4,5,3,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,3,5,4,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [2,1,4,5,3,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,2,5,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [2,1,3,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,2,3,5,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [4,3,2,1,5,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [3,2,4,1,5,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [2,3,4,1,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,3,4,2,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [2,1,4,3,5,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [1,2,4,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [3,2,1,4,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [2,3,1,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,3,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [2,1,3,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000 [5,7,6,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [4,7,6,5,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [4,6,7,5,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [4,5,7,6,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [3,5,7,6,4,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [3,5,6,7,4,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [3,4,7,6,5,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [5,4,3,7,6,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [4,5,3,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [3,5,4,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [3,6,5,4,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>1111000 [2,7,6,5,4,3,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [2,6,7,5,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [2,5,7,6,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [2,5,6,7,4,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [2,4,6,7,5,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [2,5,4,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [2,4,5,6,7,3,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [2,3,7,6,5,4,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [2,3,6,7,5,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [2,3,5,7,6,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [2,3,5,6,7,4,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [4,3,2,6,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [3,4,2,7,6,5,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [3,4,2,6,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [2,3,4,7,6,5,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [2,3,4,6,7,5,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [4,5,3,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [3,5,4,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [4,3,5,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [3,4,5,2,7,6,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [3,2,5,4,7,6,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [4,3,2,5,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [3,4,2,5,7,6,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [2,3,4,5,7,6,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [3,6,5,4,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6,8]=>1111000 [3,5,4,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [2,5,4,6,3,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [2,3,5,6,4,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [4,3,2,6,5,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [3,4,2,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [2,4,3,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [2,3,4,6,5,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [3,5,4,2,6,7,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>1110000 [2,5,4,3,6,7,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>1110000 [2,3,5,4,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>1100000 [1,7,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [1,6,7,5,4,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [1,5,6,7,4,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [1,4,7,6,5,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [1,4,6,7,5,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [1,4,5,6,7,3,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,3,6,7,5,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [1,3,5,7,6,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [1,3,5,6,7,4,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,3,4,6,7,5,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,3,5,4,7,6,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [1,4,3,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,3,4,5,7,6,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,5,4,6,3,7,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [1,3,5,6,4,7,2,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [1,4,3,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,5,4,3,6,7,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>1110000 [1,4,5,3,6,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>1100000 [1,3,4,5,6,7,2,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000 [2,1,4,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,2,7,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [1,2,6,7,5,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [1,2,5,7,6,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [1,2,5,6,7,4,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,2,4,6,7,5,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,2,5,6,4,7,3,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [1,2,5,4,6,7,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>1100000 [1,2,4,5,6,7,3,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000 [3,2,1,7,6,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100 [3,2,1,5,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [2,3,1,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [2,3,1,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [2,3,1,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,3,2,7,6,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [1,3,2,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,3,2,5,7,6,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,3,2,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,3,2,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,3,7,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [1,2,3,6,7,5,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,2,3,5,7,6,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,2,3,6,5,7,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [1,2,3,5,6,7,4,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000 [4,3,2,1,7,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [4,3,2,1,6,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [2,3,4,1,7,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [2,3,4,1,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,4,3,2,7,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [1,3,4,2,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,4,3,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [3,2,1,4,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [2,3,1,4,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,3,2,4,7,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,2,3,4,7,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [1,2,3,4,6,7,5,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000 [5,4,3,2,1,7,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [4,5,3,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [3,5,4,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [3,4,5,2,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [2,5,4,3,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [2,4,5,3,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [3,2,5,4,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [2,3,5,4,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [3,4,2,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [2,4,3,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [2,3,4,5,1,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,5,4,3,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [1,4,5,3,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [1,3,5,4,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [1,4,3,5,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,3,4,5,2,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [2,1,5,4,3,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [1,2,4,5,3,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [3,2,1,5,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [2,3,1,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [1,2,3,5,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [4,3,2,1,5,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [2,3,4,1,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,3,4,2,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,4,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [2,3,1,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,3,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [2,1,3,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,2,3,4,5,7,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000 [3,6,5,4,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [4,3,6,5,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [2,4,6,5,3,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [2,3,6,5,4,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [4,3,2,6,5,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [2,4,3,6,5,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [3,5,4,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [2,3,5,4,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [1,6,5,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [1,5,6,4,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [1,4,6,5,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [1,4,3,6,5,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [1,5,4,3,6,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [1,4,5,3,6,2,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [1,4,3,5,6,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [1,3,4,5,6,2,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>1000000 [1,2,6,5,4,3,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [1,2,4,5,6,3,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>1000000 [3,2,1,6,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [3,2,1,5,6,4,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [2,3,1,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [2,3,1,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,3,2,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [1,3,2,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,3,5,6,4,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>1000000 [4,3,2,1,6,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [3,2,4,1,6,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [2,3,4,1,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [2,1,4,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [1,2,4,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [1,3,2,4,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [2,1,3,4,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,2,3,4,6,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>1000000 [3,5,4,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000 [2,5,4,3,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000 [2,4,5,3,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [3,2,5,4,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [2,3,5,4,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [2,4,3,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,5,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000 [1,4,5,3,2,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [1,3,4,5,2,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>1000000 [2,1,5,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [2,1,4,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,2,5,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [3,2,1,5,4,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [2,3,1,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,3,2,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,2,3,5,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>1000000 [2,4,3,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>1100000 [1,4,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>1100000 [1,3,4,2,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000 [2,1,4,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [1,2,4,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000 [1,3,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000 [1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,2,3,5,8,6,7,4]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,2,3,7,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [1,2,3,7,5,6,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,2,3,8,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [1,2,3,8,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,2,3,8,6,7,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [1,2,4,5,8,6,7,3]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,2,4,7,5,6,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,2,4,8,5,6,7,3]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,2,4,8,6,5,7,3]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,2,6,4,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [1,2,6,4,5,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,2,7,4,5,6,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,2,8,4,6,7,5,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [1,2,8,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [1,2,7,5,4,6,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [1,2,8,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [1,2,8,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,2,8,5,6,4,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [1,2,8,5,6,7,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [1,2,8,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [1,2,8,6,5,7,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [1,2,8,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [1,3,2,4,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [1,3,2,7,5,6,8,4]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [1,3,2,8,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [1,3,2,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [1,3,4,5,8,6,7,2]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [1,3,4,8,5,6,7,2]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,3,6,4,5,2,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [1,3,6,4,5,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>1100000 [1,3,6,4,5,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,3,6,4,5,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,3,7,4,5,6,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>1100000 [1,3,7,4,5,6,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,3,8,4,5,6,7,2]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,3,8,4,6,5,7,2]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [1,3,8,5,4,6,7,2]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [1,3,8,5,4,7,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,3,8,5,6,7,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [1,3,8,5,7,6,4,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [1,3,8,6,5,7,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [1,3,8,7,5,6,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [1,4,3,5,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [1,4,3,8,5,6,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [1,4,3,8,5,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [1,4,3,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [1,5,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,5,3,4,2,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [1,5,3,4,6,2,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [1,5,3,4,6,7,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [1,5,3,4,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [1,5,3,4,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [1,6,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [1,6,3,4,5,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,7,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [1,7,3,4,5,6,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [1,6,3,5,4,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [1,7,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [1,8,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [1,8,3,5,7,6,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [1,8,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>1111000 [1,8,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [1,6,4,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [1,6,4,3,5,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [1,8,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [1,8,4,3,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [1,6,4,5,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [1,6,4,5,3,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [1,7,4,5,3,6,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [1,8,4,5,3,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [1,8,4,6,5,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>1111000 [1,8,4,7,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [1,7,5,4,3,6,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6,8]=>1111000 [1,8,5,4,6,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [1,8,5,4,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [1,7,6,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>1111000 [1,8,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [1,8,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [1,8,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [1,8,6,5,4,7,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [1,8,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [1,8,7,5,6,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [2,1,3,8,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [2,1,3,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [2,1,3,8,6,7,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [2,1,4,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,4,8,5,7,6,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [2,1,4,8,6,5,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [2,1,4,8,6,7,5,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [2,1,5,4,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,6,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,6,4,5,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [2,1,6,4,5,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,1,8,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [2,1,8,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [2,1,7,4,6,5,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [2,1,8,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [2,1,8,4,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [2,1,8,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [2,1,8,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [2,1,7,5,6,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [2,1,8,5,6,4,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [2,1,8,5,6,7,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [2,1,8,5,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [2,1,8,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [2,3,1,7,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [2,3,1,8,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [2,3,1,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [2,3,4,5,8,6,7,1]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [2,3,4,7,5,6,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [2,3,4,7,5,6,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [2,3,4,8,5,6,7,1]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [2,3,4,8,5,7,6,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [2,3,4,8,6,5,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [2,3,4,8,6,7,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [2,3,6,4,5,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [2,3,6,4,5,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [2,3,6,4,5,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [2,3,6,4,5,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [2,3,7,4,5,6,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [2,3,8,4,5,6,7,1]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [2,3,7,4,6,5,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [2,3,8,4,6,7,5,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [2,3,7,5,4,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [2,3,8,5,4,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [2,3,7,5,6,4,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [2,3,8,5,6,4,7,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [2,3,8,5,6,7,4,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [2,3,8,5,7,6,4,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [2,3,8,6,5,4,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [2,4,3,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,4,3,7,5,6,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [2,4,3,8,5,6,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [2,4,3,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [2,5,3,4,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [2,5,3,4,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [2,5,3,4,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [2,5,3,4,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [2,5,3,4,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,5,3,4,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,5,3,4,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,5,3,4,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [2,6,3,4,5,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [2,6,3,4,5,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [2,6,3,4,5,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,7,3,4,5,6,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [2,8,3,4,5,6,7,1]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [2,6,3,5,4,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [2,6,3,5,4,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [2,6,3,5,4,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [2,7,3,5,4,6,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [2,8,3,5,4,7,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [2,8,3,5,7,6,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [2,8,3,7,5,6,4,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>1111000 [2,8,3,7,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [2,6,4,3,5,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [2,6,4,3,5,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [2,8,4,3,5,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [2,8,4,3,6,7,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [2,8,4,3,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [2,6,4,5,3,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [2,8,4,5,3,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [2,8,4,7,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [2,7,5,4,6,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [2,8,5,4,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [2,7,6,4,5,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [2,8,7,4,6,5,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [2,8,7,5,4,6,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [2,8,7,5,6,4,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [3,2,1,4,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [3,2,1,5,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [3,2,1,8,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [3,2,1,8,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [3,2,1,8,6,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [3,2,4,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [3,2,4,8,6,7,5,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [3,2,5,4,8,6,7,1]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,2,6,4,5,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,2,8,4,5,6,7,1]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [3,2,7,4,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [3,2,8,4,6,5,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [3,2,8,5,4,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [3,2,7,5,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [3,2,8,5,6,4,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [3,2,8,5,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [4,2,3,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [4,2,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,2,3,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [4,2,3,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [4,2,3,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,2,3,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,2,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [4,2,3,5,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [4,2,3,5,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [4,2,3,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [4,2,3,5,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [4,2,3,5,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [4,2,3,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [4,2,3,8,5,7,6,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [4,2,3,7,6,5,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [4,2,3,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [5,2,3,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [5,2,3,4,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [5,2,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [5,2,3,4,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [5,2,3,4,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [6,2,3,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [8,2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [6,2,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [6,2,3,5,4,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [8,2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [8,2,3,5,6,7,4,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [8,2,3,5,7,6,4,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [7,2,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [8,2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>1111000 [8,2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [5,2,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [5,2,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [5,2,4,3,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>1110000 [5,2,4,3,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [5,2,4,3,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [5,2,4,3,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [5,2,4,3,8,7,6,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [6,2,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [7,2,4,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [7,2,4,3,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,2,4,3,6,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [7,2,4,5,3,6,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [8,2,4,5,3,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [8,2,4,5,6,7,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [8,2,4,5,7,6,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [7,2,4,6,5,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [7,2,4,6,5,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>1111000 [8,2,4,7,5,6,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [8,2,4,7,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [6,2,5,4,3,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>1111000 [6,2,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [6,2,5,4,3,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [8,2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [7,2,5,4,6,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,2,5,4,7,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [7,2,6,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [7,2,6,4,5,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,2,6,4,5,7,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>1111000 [8,2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>1111000 [8,2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [7,2,6,5,4,3,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [8,2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [8,2,7,5,6,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [8,2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>1111110 [4,3,2,1,8,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [4,3,2,7,5,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [4,3,2,8,5,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [4,3,2,8,5,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [4,3,2,8,6,7,5,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [5,3,2,4,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [5,3,2,4,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [5,3,2,4,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [5,3,2,4,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [5,3,2,4,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [8,3,2,4,6,7,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [6,3,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [6,3,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [6,3,2,5,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [6,3,2,5,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [6,3,2,5,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [7,3,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [8,3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [7,3,2,5,6,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [8,3,2,5,6,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [8,3,2,5,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [8,3,2,5,7,6,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [8,3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>1111010 [5,3,4,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [5,3,4,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [5,3,4,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [5,3,4,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [5,3,4,2,8,6,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [6,3,4,2,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [7,3,4,2,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [7,3,4,2,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,3,4,2,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [6,3,4,5,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [6,3,4,5,2,8,7,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [8,3,4,5,2,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [8,3,4,5,7,6,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [7,3,4,6,5,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [8,3,4,7,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [6,3,5,4,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [6,3,5,4,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [8,3,5,4,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [7,3,5,4,6,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [7,3,5,4,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,3,5,4,6,7,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>1111000 [8,3,5,4,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [7,3,6,4,5,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [7,3,6,4,5,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,3,6,4,5,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,3,7,4,5,6,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>1111000 [8,3,7,4,6,5,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [7,3,6,5,4,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>1111100 [7,3,6,5,4,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [8,3,6,5,4,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [8,3,7,5,6,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [8,3,7,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>1111110 [8,4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010 [6,4,3,5,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [8,4,3,5,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [8,4,3,5,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [7,4,3,6,5,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [8,4,3,7,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>1111010 [6,5,3,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [8,5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [8,5,3,4,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [8,7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [7,6,3,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>1111100 [7,6,3,5,4,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>1111100 [8,6,3,5,4,7,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [8,7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [8,7,3,5,6,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [8,7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>1111110 [8,5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>1111010 [8,5,4,3,7,6,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [8,7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [8,7,4,6,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>1111110 [2,4,1,3,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [2,1,4,6,3,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [2,4,1,6,3,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [2,4,6,1,3,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [2,1,4,3,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [2,4,1,3,6,8,5,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [2,1,4,6,3,8,5,7]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [2,4,1,6,3,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [2,4,6,1,3,8,5,7]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [2,1,4,6,8,3,5,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [2,4,1,6,8,3,5,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [2,4,6,1,8,3,5,7]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [2,4,6,8,1,3,5,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [2,4,1,6,3,5,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [2,4,6,1,3,5,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [2,4,1,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [2,4,6,7,1,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [2,4,1,3,6,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [2,1,4,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [2,1,4,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [2,4,1,6,7,3,8,5]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [2,4,6,1,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [2,4,6,7,1,3,8,5]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [2,1,4,6,7,8,3,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [2,4,1,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [2,4,6,7,8,1,3,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,1,4,3,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [2,4,1,3,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [2,1,4,7,3,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [2,4,1,7,3,5,8,6]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [2,4,7,1,3,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [2,1,4,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [2,4,1,3,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [2,4,1,7,3,8,5,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [2,1,4,7,8,3,5,6]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [2,4,1,7,8,3,5,6]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [2,4,7,1,8,3,5,6]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [2,4,7,8,1,3,5,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [2,4,1,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [2,4,5,1,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [2,4,1,3,5,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [2,4,5,1,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [2,1,4,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [2,4,1,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [2,4,5,1,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [2,1,4,5,7,8,3,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [2,4,5,1,7,8,3,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [2,4,5,7,1,8,3,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [2,4,5,7,8,1,3,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,1,4,3,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [2,4,1,8,3,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [2,4,8,1,3,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [2,4,1,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [2,1,4,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [2,4,1,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [2,4,5,1,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [2,4,1,5,6,3,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [2,4,5,1,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [2,4,5,6,1,3,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [2,1,4,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [2,4,1,5,6,8,3,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [2,4,5,1,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [2,4,5,6,1,8,3,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [2,4,5,6,8,1,3,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,4,1,3,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [2,4,1,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [2,4,5,1,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [2,4,1,5,6,3,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [2,4,5,1,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [2,4,1,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [2,4,5,6,1,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [2,4,5,6,7,1,3,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [2,4,1,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [2,4,5,1,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [2,4,5,6,1,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [2,4,5,6,7,1,8,3]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [2,4,5,6,7,8,1,3]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [2,1,5,3,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [2,5,1,3,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [2,1,5,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [2,5,1,6,3,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [2,5,6,1,3,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [2,1,5,3,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [2,5,1,3,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [2,5,6,1,3,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [2,1,5,6,8,3,4,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [2,5,1,6,8,3,4,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [2,5,6,8,1,3,4,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [2,5,1,6,3,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [2,5,1,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [2,1,5,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [2,5,1,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [2,5,6,1,7,3,4,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [2,1,5,3,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [2,5,1,3,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [2,1,5,6,3,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [2,5,6,1,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [2,1,5,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [2,5,1,6,7,3,8,4]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [2,5,6,7,1,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [2,1,5,6,7,8,3,4]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [2,5,1,6,7,8,3,4]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [2,5,6,1,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [2,5,6,7,1,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [2,5,6,7,8,1,3,4]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,1,5,3,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [2,5,1,3,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [2,1,5,7,3,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [2,5,1,7,3,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [2,5,7,1,3,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [2,1,5,3,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [2,5,1,3,7,8,4,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [2,1,5,7,3,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [2,1,5,7,8,3,4,6]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [2,5,1,7,8,3,4,6]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [2,5,7,1,8,3,4,6]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [2,5,7,8,1,3,4,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [2,3,5,7,1,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [2,3,5,1,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [2,3,5,7,1,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [2,3,1,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [2,3,5,7,1,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [2,3,5,7,8,1,4,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,1,5,3,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [2,5,1,8,3,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [2,5,8,1,3,4,6,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [2,1,3,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [2,3,5,1,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [2,3,5,8,1,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [2,1,5,3,4,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [2,3,5,1,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [2,3,5,6,1,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [2,1,3,5,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [2,3,1,5,6,8,4,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [2,3,5,1,6,8,4,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [2,3,5,6,1,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [2,3,5,6,8,1,4,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,1,5,3,4,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [2,5,1,3,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [2,3,5,1,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [2,3,5,1,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [2,3,5,6,7,1,4,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [2,3,5,1,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [2,3,5,6,1,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [2,3,5,6,7,1,8,4]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [2,3,5,6,7,8,1,4]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [2,1,6,3,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [2,6,1,3,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [2,1,6,7,3,4,8,5]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [2,6,1,7,3,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [2,6,7,1,3,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [2,1,6,3,7,8,4,5]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [2,6,1,3,7,8,4,5]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [2,6,1,7,3,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [2,6,7,1,3,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [2,1,6,7,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [2,6,1,7,8,3,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [2,6,7,1,8,3,4,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [2,6,7,8,1,3,4,5]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [2,1,6,3,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [2,6,1,7,3,4,5,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [2,6,7,1,3,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [2,3,1,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [2,1,6,3,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [2,6,1,3,4,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [2,3,6,1,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [2,1,3,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [2,1,3,6,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [2,3,1,6,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [2,3,6,1,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [2,3,6,7,1,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [2,3,6,7,8,1,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,1,6,3,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [2,6,1,8,3,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [2,6,8,1,3,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [2,3,1,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [2,3,1,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [2,3,6,1,8,4,5,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [2,1,6,3,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [2,6,1,3,4,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [2,1,3,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [2,3,6,1,4,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [2,3,4,1,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [2,3,4,6,1,8,5,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [2,3,4,6,8,1,5,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,6,1,3,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [2,1,3,6,4,5,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [2,3,1,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [2,3,6,1,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [2,3,4,6,1,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [2,3,4,6,7,1,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [2,3,4,6,1,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [2,3,4,6,7,8,1,5]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [2,1,7,3,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [2,7,1,8,3,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [2,7,8,1,3,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [2,3,1,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [2,1,3,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [2,3,1,7,8,4,5,6]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [2,3,7,8,1,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [2,1,7,3,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [2,7,1,3,4,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [2,3,7,1,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [2,1,3,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [2,3,4,1,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [2,3,4,7,1,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [2,1,3,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [2,3,1,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [2,3,4,1,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [2,3,4,7,1,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [2,3,4,7,8,1,5,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [2,1,7,3,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [2,7,1,3,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [2,3,7,1,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [2,1,3,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [2,3,1,4,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [2,3,4,1,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [2,3,4,5,7,1,6,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [2,3,4,5,7,1,8,6]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [2,3,4,5,7,8,1,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [2,1,8,3,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [2,8,1,3,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [2,1,3,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [2,3,1,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [2,3,8,1,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [2,1,3,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [2,3,1,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [2,3,4,1,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [2,1,3,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [2,3,1,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [2,3,4,1,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [2,3,4,5,1,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [2,3,4,5,8,1,6,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [2,3,4,5,6,8,1,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [3,1,4,2,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [3,4,1,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [3,1,4,6,2,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [3,4,1,6,2,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [3,4,6,1,2,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [3,1,4,2,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [3,4,1,2,6,8,5,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [3,1,4,6,2,8,5,7]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [3,4,1,6,2,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [3,1,4,6,8,2,5,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [3,4,1,6,8,2,5,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [3,4,6,8,1,2,5,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [3,1,4,2,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [3,4,1,6,2,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [3,4,1,6,7,2,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [3,4,6,7,1,2,5,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [3,1,4,2,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [3,4,1,2,6,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [3,1,4,6,2,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [3,4,6,1,2,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [3,1,4,6,7,2,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [3,4,1,6,7,2,8,5]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [3,4,6,1,7,2,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [3,4,6,7,1,2,8,5]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [3,1,4,6,7,8,2,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [3,4,1,6,7,8,2,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [3,4,6,1,7,8,2,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [3,4,6,7,1,8,2,5]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [3,4,6,7,8,1,2,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,1,4,2,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [3,4,1,2,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [3,1,4,7,2,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [3,4,7,1,2,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [3,1,4,2,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [3,4,1,2,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [3,4,7,1,8,2,5,6]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [3,4,7,8,1,2,5,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [3,1,4,2,7,5,6,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [3,4,1,5,2,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [3,4,1,5,7,2,6,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [3,4,5,7,1,2,6,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [3,1,4,2,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [3,4,1,2,5,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [3,1,4,5,2,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [3,4,5,1,2,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [3,1,4,5,7,2,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [3,4,1,5,7,2,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [3,4,5,7,1,2,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [3,1,4,5,7,8,2,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [3,4,1,5,7,8,2,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [3,4,5,1,7,8,2,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [3,4,5,7,1,8,2,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [3,4,5,7,8,1,2,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,1,4,2,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [3,4,1,8,2,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [3,4,8,1,2,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [3,4,1,5,2,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [3,1,4,5,8,2,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [3,4,1,5,8,2,6,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [3,4,5,8,1,2,6,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [3,4,1,2,5,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [3,4,5,1,2,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [3,1,4,5,6,2,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [3,4,1,5,6,2,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [3,4,5,1,6,2,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [3,4,5,6,1,2,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [3,1,4,5,6,8,2,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [3,4,1,5,6,8,2,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [3,4,5,6,1,8,2,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [3,4,5,6,8,1,2,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,1,4,2,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [3,1,4,5,2,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [3,4,1,5,2,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [3,4,1,5,6,2,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [3,4,5,1,6,2,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [3,1,4,5,6,7,2,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [3,4,1,5,6,7,2,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [3,4,5,1,6,7,2,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [3,4,5,6,1,7,2,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [3,1,4,5,6,7,8,2]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [3,4,1,5,6,7,8,2]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [3,4,5,1,6,7,8,2]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [3,4,5,6,1,7,8,2]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [3,4,5,6,7,1,8,2]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [3,1,5,2,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [3,5,1,2,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [3,1,5,6,2,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [3,5,1,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [3,5,6,1,2,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [3,1,5,2,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [3,5,1,2,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [3,1,5,6,2,8,4,7]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [3,5,6,1,2,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [3,1,5,6,8,2,4,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [3,5,1,6,8,2,4,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [3,5,6,1,8,2,4,7]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [3,5,6,8,1,2,4,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [3,5,1,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [3,5,6,1,2,4,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [3,5,1,6,2,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [3,5,1,6,7,2,4,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [3,5,6,1,7,2,4,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [3,5,6,7,1,2,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [3,1,5,2,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [3,5,1,2,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [3,1,5,6,2,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [3,5,6,1,2,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [3,1,5,6,7,2,8,4]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [3,5,1,6,7,2,8,4]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [3,5,6,1,7,2,8,4]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [3,5,6,7,1,2,8,4]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [3,1,5,6,7,8,2,4]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [3,5,1,6,7,8,2,4]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [3,5,6,1,7,8,2,4]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [3,5,6,7,1,8,2,4]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [3,5,6,7,8,1,2,4]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,1,5,2,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [3,5,1,2,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [3,1,5,7,2,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [3,5,1,7,2,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [3,5,7,1,2,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [3,1,5,2,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [3,5,1,2,7,8,4,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [3,1,5,7,2,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [3,5,1,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [3,1,5,7,8,2,4,6]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [3,5,1,7,8,2,4,6]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [3,5,7,8,1,2,4,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [3,1,5,2,7,4,6,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [3,5,1,7,2,4,6,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [3,5,7,1,2,4,6,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [3,1,2,5,7,4,6,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,3,2,5,7,4,6,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,3,5,2,7,4,6,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,3,5,7,2,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [3,5,1,2,4,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [3,1,2,5,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,3,5,2,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [1,3,5,7,2,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [1,3,2,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,3,5,2,7,8,4,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,3,5,7,2,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [1,3,5,7,8,2,4,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,1,5,2,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [3,5,1,8,2,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [1,3,2,5,4,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [3,1,2,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,3,2,5,8,4,6,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,3,5,2,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,3,5,8,2,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [3,5,1,2,4,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [3,1,2,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,3,5,2,4,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [1,3,5,6,2,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [3,1,2,5,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,3,5,2,6,8,4,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,3,5,6,2,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [1,3,5,6,8,2,4,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,5,1,2,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [1,3,5,2,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [3,1,2,5,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,3,5,2,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,3,5,6,2,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,3,5,6,7,2,4,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [3,1,2,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,3,5,6,2,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,3,5,6,7,2,8,4]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [1,3,5,6,7,8,2,4]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [3,1,6,2,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [3,6,1,2,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [3,6,1,7,2,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [3,6,7,1,2,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [3,6,1,2,7,8,4,5]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [3,1,6,7,2,8,4,5]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [3,6,1,7,2,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [3,6,7,1,2,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [3,6,1,7,8,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [3,6,7,8,1,2,4,5]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [3,1,6,2,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [3,6,7,1,2,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,3,2,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [1,3,2,6,7,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,3,6,2,7,4,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [3,1,6,2,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [3,6,1,2,4,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [3,1,2,6,4,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,3,6,2,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [3,1,2,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,3,2,6,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,3,6,2,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [3,1,2,6,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,3,2,6,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,3,6,2,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,3,6,7,8,2,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,1,6,2,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [3,6,1,8,2,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [3,6,8,1,2,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,3,2,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [3,1,2,6,8,4,5,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,3,2,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [3,1,6,2,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [3,6,1,2,4,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [3,1,2,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,3,6,2,4,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [3,1,2,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,3,4,6,2,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [3,1,2,4,6,8,5,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,3,2,4,6,8,5,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,3,4,6,8,2,5,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,1,6,2,4,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [3,6,1,2,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [1,3,2,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,3,6,2,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [3,1,2,4,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,3,4,6,2,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,3,4,6,7,2,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [3,1,2,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,3,4,6,7,2,8,5]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [3,1,7,2,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [3,7,1,8,2,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [3,7,8,1,2,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,3,2,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [3,1,2,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,3,7,2,8,4,5,6]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,3,7,8,2,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [3,1,7,2,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [3,7,1,2,4,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [1,3,7,2,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [3,1,2,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,3,2,4,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,3,4,2,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [3,1,2,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,3,2,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,3,4,2,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,3,4,7,8,2,5,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [3,1,7,2,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [3,7,1,2,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [3,1,2,7,4,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,3,2,7,4,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,3,7,2,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [3,1,2,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [3,1,2,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,3,4,5,7,2,6,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [3,1,2,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,3,4,5,7,8,2,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [3,1,8,2,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [3,8,1,2,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [3,1,2,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,3,2,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,3,8,2,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [3,1,2,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,3,2,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,3,4,2,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [3,1,2,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,3,2,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,3,4,2,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,3,4,5,2,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,3,4,5,8,2,6,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [3,1,2,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,3,4,5,6,8,2,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [4,1,5,2,6,3,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [4,5,1,2,6,3,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [4,1,5,6,2,3,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [4,5,1,6,2,3,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [4,5,6,1,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [4,1,5,2,6,8,3,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [4,5,1,2,6,8,3,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [4,1,5,6,2,8,3,7]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [4,5,1,6,2,8,3,7]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [4,5,6,1,2,8,3,7]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [4,1,5,6,8,2,3,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [4,5,1,6,8,2,3,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [4,5,6,1,8,2,3,7]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [4,5,6,8,1,2,3,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [4,1,5,2,6,3,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [4,5,1,6,2,3,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [4,5,1,6,2,7,3,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [4,1,5,6,7,2,3,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [4,5,1,6,7,2,3,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [4,5,6,1,7,2,3,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [4,1,5,2,6,7,8,3]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [4,5,1,2,6,7,8,3]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [4,5,6,1,2,7,8,3]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [4,1,5,6,7,2,8,3]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [4,5,1,6,7,2,8,3]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [4,5,6,1,7,2,8,3]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [4,5,6,7,1,2,8,3]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [4,1,5,6,7,8,2,3]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [4,5,1,6,7,8,2,3]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [4,5,6,1,7,8,2,3]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [4,5,6,7,1,8,2,3]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [4,1,5,2,7,3,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [4,5,1,7,2,3,8,6]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [4,1,5,2,7,8,3,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [4,5,1,2,7,8,3,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [4,1,5,7,2,8,3,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [4,5,1,7,2,8,3,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [4,5,7,1,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [4,5,1,7,8,2,3,6]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [4,5,7,8,1,2,3,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [4,1,5,2,7,3,6,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [1,4,2,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [4,1,2,5,7,3,6,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,4,2,5,7,3,6,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,4,5,2,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,4,5,7,2,3,6,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [4,1,5,2,3,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [4,1,2,5,3,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,4,5,2,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [4,1,2,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,4,2,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,4,5,2,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [1,4,5,7,2,3,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [4,1,2,5,7,8,3,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,4,2,5,7,8,3,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,4,5,2,7,8,3,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,4,5,7,8,2,3,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [4,1,5,2,8,3,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [4,5,1,8,2,3,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [4,5,8,1,2,3,6,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,4,2,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [4,1,2,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,4,2,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,4,5,2,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [4,1,2,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,4,5,2,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [4,1,2,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,4,2,5,6,8,3,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,4,5,2,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,4,5,6,8,2,3,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [4,1,5,2,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [4,1,2,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,4,2,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,4,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [4,1,2,5,6,3,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,4,5,2,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [4,1,2,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,4,2,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,4,5,2,6,7,3,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,4,5,6,2,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,4,5,6,7,2,3,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [4,1,2,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,4,2,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,4,5,2,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,4,5,6,2,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,4,5,6,7,2,8,3]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [1,4,5,6,7,8,2,3]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [4,1,6,2,7,3,8,5]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [4,1,6,7,2,3,8,5]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [4,6,7,1,2,3,8,5]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [4,6,1,2,7,8,3,5]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [4,6,1,7,2,8,3,5]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [4,6,7,1,2,8,3,5]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [4,1,6,7,8,2,3,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [4,6,1,7,8,2,3,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [4,6,7,1,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [4,6,7,8,1,2,3,5]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [4,1,6,2,7,3,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [4,6,1,7,2,3,5,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [4,6,7,1,2,3,5,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,4,2,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [4,1,2,6,7,3,5,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,4,2,6,7,3,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,4,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,4,6,7,2,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [4,1,6,2,3,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [4,1,2,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,4,6,2,3,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [4,1,2,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,4,6,2,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [1,4,2,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,4,6,2,7,8,3,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,4,6,7,2,8,3,5]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [1,4,6,7,8,2,3,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [4,1,6,2,8,3,5,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [4,6,1,8,2,3,5,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [4,6,8,1,2,3,5,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,4,2,6,3,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [1,4,2,6,8,3,5,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,4,6,2,8,3,5,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,4,6,8,2,3,5,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [4,1,6,2,3,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [4,6,1,2,3,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [4,1,2,6,3,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,4,6,2,3,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [4,1,2,3,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,4,2,3,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,2,4,6,3,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [4,1,2,3,6,8,5,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,2,4,3,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,2,4,6,8,3,5,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [4,1,6,2,3,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [4,6,1,2,3,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [1,4,2,6,3,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,4,6,2,3,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [4,1,2,3,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,4,2,3,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [4,1,2,3,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,4,2,3,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [4,1,2,3,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,4,2,3,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,4,6,7,8,3,5]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [4,1,7,2,8,3,5,6]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [4,7,1,8,2,3,5,6]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [4,7,8,1,2,3,5,6]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,4,2,7,3,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [4,1,2,7,8,3,5,6]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,4,2,7,8,3,5,6]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,4,7,2,8,3,5,6]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,4,7,8,2,3,5,6]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [4,1,7,2,3,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [4,7,1,2,3,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [4,1,2,7,3,5,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,4,7,2,3,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [4,1,2,3,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,4,2,3,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,2,4,3,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [1,2,4,7,3,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [4,1,2,3,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,4,2,3,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,2,4,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,2,4,7,3,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [1,2,4,7,8,3,5,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [4,1,7,2,3,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [4,7,1,2,3,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [4,1,2,7,3,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,4,2,7,3,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,4,7,2,3,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [4,1,2,3,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,4,2,3,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,4,3,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [4,1,2,3,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,4,2,3,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,4,5,7,3,6,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [4,1,2,3,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,4,2,3,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,4,5,7,3,8,6]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [1,2,4,5,7,8,3,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [4,1,8,2,3,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [4,8,1,2,3,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [4,1,2,8,3,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,4,2,8,3,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,4,8,2,3,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [4,1,2,3,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,4,2,3,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,4,3,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [4,1,2,3,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,4,2,3,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,4,3,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,4,5,3,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,2,4,5,8,3,6,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [4,1,2,3,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,4,2,3,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,4,5,6,8,3,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [1,4,2,3,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000 [5,1,6,2,7,3,8,4]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [5,6,1,2,7,3,8,4]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [5,1,6,7,2,3,8,4]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [5,6,1,7,2,3,8,4]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [5,6,7,1,2,3,8,4]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [5,6,1,2,7,8,3,4]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [5,1,6,7,2,8,3,4]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [5,6,7,1,2,8,3,4]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [5,1,6,7,8,2,3,4]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [5,6,1,7,8,2,3,4]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [5,6,7,1,8,2,3,4]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [5,1,6,2,7,3,4,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [5,6,1,7,2,3,4,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [1,5,2,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [5,1,2,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,5,2,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,5,6,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [5,1,6,2,3,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [5,6,1,2,3,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [5,1,2,6,3,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,5,6,2,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [5,1,2,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,5,6,7,2,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [5,1,2,6,7,8,3,4]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,5,2,6,7,8,3,4]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,5,6,2,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,5,6,7,2,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [1,5,6,7,8,2,3,4]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [5,1,6,2,8,3,4,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [5,6,1,8,2,3,4,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [5,6,8,1,2,3,4,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,5,2,6,3,8,4,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [5,1,2,6,8,3,4,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,5,2,6,8,3,4,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,5,6,2,8,3,4,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,5,6,8,2,3,4,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [5,1,6,2,3,4,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [5,6,1,2,3,4,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [5,1,2,6,3,4,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,5,6,2,3,4,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [1,5,2,3,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,2,5,3,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [1,2,5,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [5,1,2,3,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,5,2,3,6,8,4,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,2,5,6,3,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [5,1,6,2,3,4,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [5,1,2,6,3,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,5,2,6,3,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,5,6,2,3,4,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [5,1,2,3,6,4,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,5,2,3,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,5,3,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [5,1,2,3,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,5,2,3,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,5,3,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,5,6,3,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [5,1,2,3,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,5,2,3,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,5,3,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,2,5,6,3,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,2,5,6,7,3,8,4]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [1,2,5,6,7,8,3,4]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [5,1,7,2,8,3,4,6]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [5,7,1,8,2,3,4,6]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [5,7,8,1,2,3,4,6]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [1,5,2,7,3,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [5,1,2,7,8,3,4,6]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,5,2,7,8,3,4,6]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,5,7,2,8,3,4,6]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,5,7,8,2,3,4,6]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [5,1,7,2,3,4,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [5,7,1,2,3,4,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [5,1,2,7,3,4,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,5,7,2,3,4,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [5,1,2,3,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,5,2,3,7,4,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,2,5,3,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [1,2,5,7,3,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [5,1,2,3,7,8,4,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,5,2,3,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,2,5,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [1,2,5,7,8,3,4,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [5,1,7,2,3,4,6,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [5,7,1,2,3,4,6,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [5,1,2,7,3,4,6,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,5,2,7,3,4,6,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,5,2,3,7,4,6,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,5,3,7,4,6,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [1,5,2,3,4,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,5,3,4,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,3,5,7,4,6,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [5,1,2,3,4,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,5,2,3,4,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,5,3,4,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,2,3,5,7,4,8,6]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [1,2,3,5,7,8,4,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [5,1,8,2,3,4,6,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [5,8,1,2,3,4,6,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [5,1,2,8,3,4,6,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,5,2,8,3,4,6,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,5,8,2,3,4,6,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [5,1,2,3,8,4,6,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,5,2,3,8,4,6,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,5,3,8,4,6,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [5,1,2,3,4,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,5,2,3,4,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,5,3,4,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,3,5,4,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,2,3,5,8,4,6,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [5,1,2,3,4,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,5,2,3,4,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,5,3,4,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,2,3,5,6,8,4,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [1,5,2,3,4,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000 [1,2,5,3,4,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000 [6,1,7,2,8,3,4,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [6,7,1,8,2,3,4,5]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [1,6,2,7,3,8,4,5]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [6,1,2,7,8,3,4,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [1,6,2,7,8,3,4,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [1,6,7,2,8,3,4,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [1,6,7,8,2,3,4,5]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [6,1,7,2,3,4,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [6,7,1,2,3,4,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [6,1,2,7,3,4,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [1,6,7,2,3,4,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [6,1,2,3,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [1,6,2,3,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [1,2,6,3,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [6,1,2,3,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [1,6,2,3,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [1,2,6,3,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [1,2,6,7,3,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [1,2,6,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [6,1,7,2,3,4,5,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [6,1,2,7,3,4,5,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,6,2,7,3,4,5,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,6,7,2,3,4,5,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [6,1,2,3,7,4,5,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,6,2,3,7,4,5,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,6,3,7,4,5,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [6,1,2,3,4,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,6,2,3,4,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,6,3,4,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,3,6,4,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,2,3,6,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [6,1,2,3,4,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,6,2,3,4,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,6,3,4,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,2,3,6,4,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,2,3,6,7,4,8,5]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [1,2,3,6,7,8,4,5]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [6,1,8,2,3,4,5,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [6,8,1,2,3,4,5,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [6,1,2,8,3,4,5,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,6,2,8,3,4,5,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,6,8,2,3,4,5,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [6,1,2,3,8,4,5,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,6,2,3,8,4,5,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,6,3,8,4,5,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [6,1,2,3,4,8,5,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,6,2,3,4,8,5,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,6,3,4,8,5,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,3,6,4,8,5,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [6,1,2,3,4,5,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,6,2,3,4,5,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,6,3,4,5,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,2,3,6,4,5,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,2,3,4,6,8,5,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [1,6,2,3,4,5,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000 [1,2,6,3,4,5,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000 [1,2,3,6,4,5,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>1000000 [7,1,8,2,3,4,5,6]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [7,1,2,8,3,4,5,6]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [1,7,2,8,3,4,5,6]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [1,7,8,2,3,4,5,6]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [7,1,2,3,8,4,5,6]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [1,7,2,3,8,4,5,6]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [1,2,7,3,8,4,5,6]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [7,1,2,3,4,8,5,6]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [1,7,2,3,4,8,5,6]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [1,2,7,3,4,8,5,6]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [1,2,3,7,4,8,5,6]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [1,2,3,7,8,4,5,6]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [7,1,2,3,4,5,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [1,7,2,3,4,5,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [1,2,7,3,4,5,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [1,2,3,7,4,5,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [1,2,3,4,7,5,8,6]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [1,7,2,3,4,5,6,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000 [1,2,7,3,4,5,6,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000 [1,2,3,7,4,5,6,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>1000000 [1,2,3,4,7,5,6,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>1000000 [1,8,2,3,4,5,6,7]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000 [1,2,8,3,4,5,6,7]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000 [1,2,3,8,4,5,6,7]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>1000000 [1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>1000000 [1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000 [5,3,2,6,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [8,4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>1100100 [7,4,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [5,4,6,2,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [4,6,5,1,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [5,6,4,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [7,5,4,3,2,8,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [7,6,4,3,8,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [6,7,4,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [5,7,4,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [4,7,5,1,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>1100100 [3,7,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [5,8,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>0101010 [6,8,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010 [7,8,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>0101010 [6,8,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>0101010 [5,8,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [2,1,8,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [2,1,7,6,8,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [5,7,6,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,4,7,2,1,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [6,4,7,2,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [8,4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [8,3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [7,3,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [6,3,2,7,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [5,3,2,7,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [4,3,2,1,7,8,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [3,4,1,2,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [5,3,2,8,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>0101010 [6,3,2,8,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>0101010 [7,3,2,8,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010 [8,4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>1111010 [7,4,8,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010 [6,4,8,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>0101010 [5,4,8,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>0101010 [4,5,8,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [3,5,1,8,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [2,1,5,8,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [3,6,1,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [4,6,8,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [5,6,8,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [6,5,8,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>0101010 [7,5,8,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>0101010 [8,5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [5,7,8,6,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [4,7,8,1,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [3,7,1,8,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [3,8,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [6,8,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [2,1,4,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>000010000 [3,4,1,2,6,5,8,7,10,9]=>[[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>000010000 [4,3,2,1,6,5,8,7,10,9]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>[4,3,2,6,8,10,1,5,7,9]=>110001000 [6,5,4,3,2,1,8,7,10,9]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>[6,5,4,3,2,8,10,1,7,9]=>111100100 [8,9,5,6,3,4,10,1,2,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>[8,9,5,6,3,4,10,1,2,7]=>010100100 [4,3,2,1,8,7,6,5,10,9]=>[[1,5,9],[2,6,10],[3,7],[4,8]]=>[4,8,3,7,2,6,10,1,5,9]=>010100100 [8,7,6,5,4,3,2,1,10,9]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,10,1,9]=>111111010 [9,7,6,5,4,3,2,10,1,8]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,10,1,8]=>111111010 [10,8,9,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[10,8,6,9,4,7,2,5,1,3]=>110101010 [6,7,8,9,10,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [7,3,2,8,9,10,1,4,5,6]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>[7,3,2,8,9,10,1,4,5,6]=>110001000 [8,5,4,3,2,9,10,1,6,7]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[8,5,4,3,2,9,10,1,6,7]=>111100100 [2,1,4,3,6,5,10,9,8,7]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>[10,9,2,4,6,8,1,3,5,7]=>110001000 [2,1,6,5,4,3,10,9,8,7]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>[6,10,5,9,2,4,8,1,3,7]=>010100100 [6,5,4,3,2,1,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[6,5,4,10,3,9,2,8,1,7]=>110101010 [9,7,5,10,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[9,7,5,10,3,8,2,6,1,4]=>110101010 [2,1,4,3,10,9,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[10,9,8,7,2,4,6,1,3,5]=>111100100 [4,3,2,1,10,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[10,9,4,8,3,7,2,6,1,5]=>110101010 [2,1,10,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,4,1,3]=>111111010 [10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,2,1]=>111111111 [4,2,5,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [5,2,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [3,2,6,1,4,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [4,2,6,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [5,3,6,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,2,4,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,3,5,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [5,3,7,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [5,4,7,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,2,7,1,3,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,3,7,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,4,7,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,3,5,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,3,6,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,4,6,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [3,2,8,1,4,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [4,2,8,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [5,4,8,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,2,8,1,3,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,3,8,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,4,8,1,2,3,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [6,5,8,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,2,8,1,3,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,3,8,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,4,8,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [7,5,8,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,2,4,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,3,5,1,2,4,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,3,6,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,3,7,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,4,7,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [8,5,7,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [3,2,5,7,1,4,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [4,2,5,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [5,2,4,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [4,2,6,7,1,3,5,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [5,2,6,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,2,5,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,3,5,7,1,2,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [3,2,5,8,1,4,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [4,2,5,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [4,3,5,8,1,2,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [5,2,4,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [3,2,6,8,1,4,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [4,2,6,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [5,2,6,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,2,4,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,3,4,8,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,2,5,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,3,5,8,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,4,5,8,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [3,2,7,8,1,4,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [4,3,7,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [5,3,7,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [5,4,7,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,2,7,8,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,3,7,8,1,2,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [6,4,7,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [7,2,4,8,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [7,3,4,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [7,3,5,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [7,4,5,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [7,4,6,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [8,3,4,6,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [8,3,5,6,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [8,2,4,7,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [8,2,5,7,1,3,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [8,3,5,7,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [8,2,6,7,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [8,4,6,7,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [4,6,2,5,1,3,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [4,6,3,5,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [3,7,2,5,1,4,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [4,7,3,5,1,2,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,7,2,4,1,3,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [3,7,2,6,1,4,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [4,7,3,6,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,7,2,6,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [6,7,2,5,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [4,8,2,5,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,8,2,4,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,8,3,4,1,2,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [3,8,2,6,1,4,5,7]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,8,3,6,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,8,4,6,1,2,3,7]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [6,8,3,5,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [3,8,2,7,1,4,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [4,8,2,7,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [4,8,3,7,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,8,2,7,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [5,8,3,7,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [6,8,2,7,1,3,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [6,8,3,7,1,2,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [6,8,5,7,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [7,8,2,4,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [7,8,2,5,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [7,8,3,5,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [7,8,4,6,1,2,3,5]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [4,3,2,6,1,5,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [5,3,2,6,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,3,2,5,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,5,2,4,1,3,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [4,3,2,7,1,5,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [5,3,2,7,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [5,4,3,7,1,2,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,3,2,7,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,4,2,7,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,4,3,7,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,5,2,7,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,5,3,7,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,3,2,5,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,4,2,5,1,3,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,3,2,6,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,4,2,6,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,4,3,6,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,5,2,6,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,5,3,6,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,6,3,5,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [4,3,2,8,1,5,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [5,3,2,8,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [5,4,3,8,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,3,2,8,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,4,2,8,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,4,3,8,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,5,2,8,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [6,5,3,8,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,3,2,8,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,4,2,8,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,4,3,8,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,5,3,8,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,5,4,8,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [7,6,2,8,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,3,2,5,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,4,2,5,1,3,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,3,2,6,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,4,2,6,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,5,3,6,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,6,2,4,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,6,2,5,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,3,2,7,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,4,2,7,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,4,3,7,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,5,2,7,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,5,3,7,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,6,3,7,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,7,2,4,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,7,2,5,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,7,3,5,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,7,2,6,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,7,3,6,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [8,7,4,6,1,2,3,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [4,6,3,5,8,1,2,7]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [5,6,2,4,8,1,3,7]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [4,7,2,5,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [4,7,3,5,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [5,7,2,4,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [5,7,3,4,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [4,7,3,6,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [5,7,2,6,8,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [5,7,4,6,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [6,7,3,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [6,7,3,5,8,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [3,8,2,5,7,1,4,6]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [4,8,3,5,7,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [5,8,2,4,7,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [3,8,2,6,7,1,4,5]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [5,8,2,6,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [5,8,3,6,7,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [6,8,2,5,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [6,8,4,5,7,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [7,8,2,4,6,1,3,5]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [7,8,2,5,6,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [7,8,3,5,6,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [4,3,2,6,8,1,5,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [5,3,2,6,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [5,4,2,6,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [5,4,3,6,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [6,3,2,5,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [6,4,3,5,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [6,5,2,4,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [4,3,2,7,8,1,5,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [5,3,2,7,8,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [5,4,2,7,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [5,4,3,7,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [6,4,2,7,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [6,4,3,7,8,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [6,5,2,7,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [7,4,2,5,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [7,4,3,5,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [7,5,2,6,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [7,5,3,6,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [7,6,2,4,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [7,6,3,5,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,3,2,5,7,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,4,2,5,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,5,2,4,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,3,2,6,7,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,5,2,6,7,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,5,3,6,7,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,6,2,4,7,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,7,2,4,6,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,7,3,4,6,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [8,7,2,5,6,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [4,3,7,2,6,1,5,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,3,7,2,6,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,4,7,2,6,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,3,7,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,4,7,2,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,4,7,3,5,1,2,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [7,3,6,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [4,3,8,2,6,1,5,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,3,8,2,6,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,4,8,2,6,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,4,8,3,6,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,4,8,2,5,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,4,8,3,5,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,5,8,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,5,8,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [4,3,8,2,7,1,5,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,3,8,2,7,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,4,8,2,7,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,4,8,3,7,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,3,8,2,7,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [6,4,8,2,7,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [7,3,8,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [7,4,8,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [7,5,8,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [7,5,8,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [7,5,8,4,6,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [7,6,8,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [7,6,8,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,3,6,2,5,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,5,6,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,3,7,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,4,7,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,5,7,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,3,7,2,6,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,4,7,2,6,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,4,7,3,6,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,5,7,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,6,7,2,4,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,6,7,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [8,6,7,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [5,4,3,2,7,1,6,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,4,3,2,7,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,5,3,2,7,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,5,4,2,7,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,5,3,2,6,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,5,4,2,6,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [5,4,3,2,8,1,6,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,5,3,2,8,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,5,4,2,8,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [6,5,4,3,8,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,5,3,2,8,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,5,4,2,8,1,3,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,6,3,2,8,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,6,4,3,8,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [7,6,5,2,8,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,5,3,2,6,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,5,4,2,6,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,6,5,2,4,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,5,3,2,7,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,6,3,2,7,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,6,4,3,7,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,7,3,2,6,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,7,4,2,6,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,7,4,3,6,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,7,5,2,6,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,7,6,2,4,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,7,6,2,5,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [8,7,6,3,5,1,2,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [4,8,3,7,2,6,1,5]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [5,8,3,7,2,6,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [5,8,4,7,2,6,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [5,8,4,7,3,6,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [6,8,3,7,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [6,8,4,7,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [6,8,4,7,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [6,8,5,7,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [6,8,5,7,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [7,8,3,6,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [7,8,4,6,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [7,8,4,6,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [7,8,5,6,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [5,4,3,8,2,7,1,6]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [6,4,3,8,2,7,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [6,5,3,8,2,7,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [6,5,4,8,3,7,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [7,4,3,8,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [7,5,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [7,5,4,8,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [7,6,3,8,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [7,6,4,8,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [7,6,5,8,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,4,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,5,4,7,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,5,4,7,3,6,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,6,3,7,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,6,4,7,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,6,4,7,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,6,5,7,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,7,3,6,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,7,4,6,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,7,4,6,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [8,7,5,6,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [6,5,4,3,2,8,1,7]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [7,6,5,4,2,8,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,5,4,3,2,7,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,6,5,3,2,7,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,7,4,3,2,6,1,5]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,7,5,3,2,6,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,7,5,4,2,6,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,7,6,3,2,5,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,7,6,4,2,5,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,7,6,5,2,4,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [8,1,2,3,4,7,5,6]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [8,1,2,3,6,4,5,7]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [8,1,2,3,7,4,5,6]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [7,1,2,3,6,4,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [8,1,2,3,6,7,4,5]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [8,1,2,5,3,4,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [7,1,2,5,3,4,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [8,1,2,6,3,4,5,7]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [7,1,2,6,3,4,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [6,1,2,5,3,8,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [8,1,2,5,3,7,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [8,1,2,6,3,7,4,5]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [6,1,2,5,3,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [4,1,2,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [8,1,2,5,6,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [8,1,2,5,7,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [7,1,2,5,6,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [8,1,2,5,6,7,3,4]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [3,1,8,2,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [3,1,8,2,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [3,1,7,2,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,5,2,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [3,1,8,2,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [8,1,4,2,3,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [7,1,4,2,3,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [6,1,4,2,3,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [8,1,5,2,3,4,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [7,1,5,2,3,4,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [8,1,7,2,3,4,5,6]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [6,1,5,2,3,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [5,1,4,2,8,3,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [5,1,4,2,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,1,4,2,6,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [8,1,4,2,7,3,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [7,1,4,2,6,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,1,5,2,6,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [8,1,5,2,7,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [7,1,8,2,6,3,4,5]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [7,1,5,2,6,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,1,4,2,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [3,1,8,5,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [3,1,7,5,2,4,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [3,1,8,6,2,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [3,1,7,6,2,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [3,1,6,5,2,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [3,1,8,5,2,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [3,1,8,6,2,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [3,1,6,5,2,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [7,1,4,5,2,3,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [7,1,4,6,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [8,1,6,5,2,3,4,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [7,1,8,5,2,3,4,6]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [7,1,8,6,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [6,1,4,5,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [3,1,4,8,6,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [3,1,4,8,7,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [3,1,4,7,6,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [3,1,8,7,6,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [3,1,7,5,6,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [8,1,4,5,6,2,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [8,1,4,5,7,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [8,1,7,5,6,2,3,4]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [7,1,4,5,6,2,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [3,1,8,5,6,7,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [8,1,4,5,6,7,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [2,8,1,3,4,7,5,6]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [2,7,1,3,6,4,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [2,5,1,3,8,7,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [2,8,1,3,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [2,4,1,8,3,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [2,8,1,5,3,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [2,8,1,6,3,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [2,6,1,5,3,8,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [2,8,1,5,3,7,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [2,4,1,8,6,3,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [2,4,1,8,7,3,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [2,4,1,7,6,3,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [2,7,1,5,6,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [2,4,1,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,8,1,5,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [7,3,1,2,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [6,3,1,2,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [5,3,1,2,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [5,3,1,2,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [8,3,1,2,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [8,3,1,2,7,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [7,3,1,2,6,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [5,3,1,2,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [5,3,1,2,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [8,3,1,2,6,7,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [5,3,1,2,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [7,4,1,2,3,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [6,4,1,2,3,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [7,6,1,2,3,4,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [5,8,1,2,3,7,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [5,4,1,2,8,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [5,4,1,2,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [8,4,1,2,6,3,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [8,4,1,2,7,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [7,4,1,2,6,3,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [8,7,1,2,6,3,4,5]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [5,7,1,2,6,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [5,4,1,2,6,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [5,4,1,2,8,7,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [8,4,1,2,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [5,8,1,2,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [5,4,1,2,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [4,3,1,8,2,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [4,3,1,7,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [4,3,1,6,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [4,3,1,8,2,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>0101000 [4,3,1,6,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [8,3,1,5,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,3,1,5,2,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [8,3,1,6,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,3,1,8,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,3,1,6,2,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [6,3,1,5,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [8,3,1,5,2,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [8,3,1,6,2,7,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [6,3,1,5,2,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [8,4,1,5,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,4,1,5,2,3,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [8,4,1,6,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,4,1,8,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,4,1,6,2,3,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [6,8,1,5,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [8,7,1,5,2,3,4,6]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [8,7,1,6,2,3,4,5]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [6,4,1,5,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [8,4,1,5,2,7,3,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [8,4,1,6,2,7,3,5]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [6,8,1,5,2,7,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [6,4,1,5,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [4,3,1,5,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [4,3,1,8,6,2,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [4,3,1,8,7,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [4,3,1,7,6,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [8,3,1,7,6,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [7,3,1,5,6,2,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [8,4,1,7,6,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [7,8,1,5,6,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [7,4,1,5,6,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [4,3,1,5,6,8,2,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [4,3,1,5,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [8,3,1,5,6,7,2,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [8,4,1,5,6,7,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [4,3,1,5,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [2,3,8,1,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000 [2,3,7,1,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [2,3,5,1,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [2,3,8,1,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [2,8,4,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [2,7,4,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [2,6,4,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [2,8,4,1,3,7,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [2,6,4,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [2,8,5,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [2,7,5,1,3,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [2,8,7,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [2,6,5,1,3,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [2,8,5,1,3,7,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [2,6,8,1,3,7,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [2,6,5,1,3,7,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [2,5,4,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [2,7,4,1,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [2,7,5,1,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [2,5,4,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [2,5,4,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [2,8,4,1,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [2,8,5,1,6,7,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [7,3,4,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [6,3,4,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [8,3,4,1,2,7,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [6,3,4,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [7,3,5,1,2,4,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [6,3,7,1,2,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [6,3,5,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [8,3,5,1,2,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [6,3,5,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [7,5,4,1,2,3,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [6,8,4,1,2,3,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [6,7,4,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [6,8,5,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [6,7,5,1,2,3,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [6,5,4,1,2,8,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [8,5,4,1,2,7,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [6,8,4,1,2,7,3,5]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [6,8,5,1,2,7,3,4]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [6,5,4,1,2,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [5,3,4,1,8,2,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [5,3,4,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,3,4,1,6,2,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [8,3,4,1,7,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [7,3,4,1,6,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,3,5,1,6,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [8,3,5,1,7,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [7,3,8,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [7,3,5,1,6,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,5,4,1,6,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [8,5,4,1,7,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [7,8,4,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [7,8,5,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [7,5,4,1,6,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [8,5,4,1,6,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [5,3,4,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [2,3,4,8,1,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000 [2,3,6,5,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [2,8,4,5,1,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>1010000 [2,8,4,6,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [2,7,4,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [2,8,6,5,1,3,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [2,7,8,5,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [2,7,8,6,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [2,7,6,5,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [2,6,4,5,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [2,8,4,5,1,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [2,8,4,6,1,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [2,8,6,5,1,7,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [7,3,4,5,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [7,3,4,6,1,2,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [7,3,6,5,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [7,6,4,5,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [8,3,6,5,1,7,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [8,6,4,5,1,7,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [6,3,4,5,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [2,3,4,8,6,1,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>1010000 [2,3,4,8,7,1,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>1010000 [2,3,4,7,6,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [2,3,8,5,6,1,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [2,3,8,5,7,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [2,3,7,5,6,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [2,8,4,5,6,1,3,7]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000 [2,8,4,5,7,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [2,8,7,5,6,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [2,7,4,5,6,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [8,3,4,5,7,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [8,3,4,7,6,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [8,3,7,5,6,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [7,3,4,5,6,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [2,3,4,5,8,7,1,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [2,3,4,8,6,7,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [2,3,8,5,6,7,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [2,8,4,5,6,7,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [9,1,2,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>10000000 [8,1,2,3,4,5,6,9,7]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [7,1,2,3,4,5,9,6,8]=>[[1,3,4,5,6,7,9],[2,8]]=>[2,8,1,3,4,5,6,7,9]=>01000000 [7,1,2,3,4,5,8,9,6]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [6,1,2,3,4,7,9,5,8]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,8,9,1,3,4,5,6,7]=>00100000 [6,1,2,3,4,7,8,9,5]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [5,1,2,3,6,7,8,9,4]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [4,1,2,5,6,7,9,3,8]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,8,9,1,3,4,5,6,7]=>00100000 [4,1,2,5,6,7,8,9,3]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [3,1,9,2,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>01000000 [3,1,5,2,7,4,9,6,8]=>[[1,3,5,7,9],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9]=>00010000 [3,1,4,5,6,7,9,2,8]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,8,9,1,3,4,5,6,7]=>00100000 [3,1,4,5,6,7,8,9,2]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [2,9,1,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>01000000 [2,4,1,6,3,8,5,9,7]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [2,4,1,5,6,7,8,9,3]=>[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>01000000 [9,3,1,2,4,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>11000000 [8,3,1,2,4,5,6,9,7]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [6,3,1,2,4,7,8,9,5]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [5,3,1,2,6,7,8,9,4]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [9,4,1,2,3,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>11000000 [7,4,1,2,3,5,8,9,6]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [6,4,1,2,3,7,8,9,5]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [5,9,1,2,3,4,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>01000000 [9,6,1,2,3,4,5,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>11000000 [8,6,1,2,3,4,5,9,7]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [9,7,1,2,3,4,5,6,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>11000000 [8,9,1,2,3,4,5,6,7]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>01000000 [8,7,1,2,3,4,5,9,6]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [7,6,1,2,3,4,8,9,5]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [5,4,1,2,6,7,8,9,3]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [4,3,1,9,2,5,6,7,8]=>[[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>10100000 [9,3,1,8,2,4,5,6,7]=>[[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>10100000 [9,4,1,5,2,3,6,7,8]=>[[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>10100000 [9,4,1,8,2,3,5,6,7]=>[[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>10100000 [8,7,1,9,2,3,4,5,6]=>[[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>10100000 [9,4,1,6,2,8,3,5,7]=>[[1,4,6,8,9],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9]=>10010000 [4,3,1,5,6,7,8,9,2]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [2,6,9,1,3,4,5,7,8]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5,6,1,2,3,7,8,9]=>00100000 [9,3,4,1,2,5,6,7,8]=>[[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>10100000 [9,3,7,1,2,4,5,6,8]=>[[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>10100000 [9,3,8,1,2,4,5,6,7]=>[[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>10100000 [9,5,4,1,2,3,6,7,8]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>11100000 [9,7,4,1,2,3,5,6,8]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>11100000 [9,8,4,1,2,3,5,6,7]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>11100000 [6,7,9,1,2,3,4,5,8]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5,6,1,2,3,7,8,9]=>00100000 [9,7,8,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>10100000 [9,8,5,1,7,2,3,4,6]=>[[1,5,7,8,9],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9]=>11010000 [9,5,4,1,8,7,2,3,6]=>[[1,5,8,9],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9]=>10101000 [2,7,8,9,1,3,4,5,6]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9]=>00010000 [9,3,4,8,1,2,5,6,7]=>[[1,3,4,8,9],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9]=>10010000 [7,3,8,9,1,2,4,5,6]=>[[1,3,4,8,9],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9]=>10010000 [9,8,4,5,1,2,3,6,7]=>[[1,4,7,8,9],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9]=>11010000 [9,8,6,5,1,2,3,4,7]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>11110000 [9,7,4,5,6,1,2,3,8]=>[[1,4,5,9],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9]=>11001000 [8,9,4,5,6,1,2,3,7]=>[[1,2,5,9],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9]=>01001000 [2,3,4,5,6,9,1,7,8]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>01000000 [2,3,4,5,6,8,1,9,7]=>[[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>01000000 [2,3,4,5,6,7,9,1,8]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [2,3,4,5,6,9,8,1,7]=>[[1,2,3,4,5,6],[7,9],[8]]=>[8,7,9,1,2,3,4,5,6]=>10100000 [2,3,4,5,6,7,8,9,1]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [3,5,2,6,4,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [3,5,2,7,4,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [3,5,2,7,4,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [4,5,7,2,3,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [4,5,6,2,3,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [3,5,1,6,4,2,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [4,5,6,1,3,2,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [4,5,7,3,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [4,5,7,3,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [4,6,7,3,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [4,5,7,1,3,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [3,5,1,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,1,5,7,4,8,6,3]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [3,5,1,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [4,5,7,3,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [4,6,7,3,8,5,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [4,6,7,3,8,5,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [5,6,7,8,3,1,4,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>0101000 [5,6,7,8,1,3,4,2]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [4,6,7,1,8,3,5,2]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [2,1,6,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [4,6,7,1,8,3,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [5,6,7,8,1,3,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [4,6,7,2,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [4,6,7,2,8,3,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [4,6,7,2,8,3,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [3,6,2,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [3,5,2,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [3,4,2,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [3,5,2,7,1,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [3,6,2,7,8,1,5,4]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [3,6,2,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [4,6,7,2,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [4,6,7,2,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [4,5,7,2,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [3,5,1,7,2,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [2,1,5,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,1,6,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [4,6,7,1,8,2,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [5,6,7,8,1,2,4,3]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [5,6,7,8,2,1,4,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>0101000 [5,6,7,8,2,4,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [5,6,7,8,2,4,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [5,6,7,8,1,4,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [4,6,7,1,8,5,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [3,6,1,7,8,5,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [4,6,7,1,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [5,6,7,8,1,4,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [5,6,7,8,4,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [3,5,2,7,4,9,6,10,8,1]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>100010000 [4,6,8,3,9,5,10,7,2,1]=>[[1,2,3,5,7],[4,6,8],[9],[10]]=>[10,9,4,6,8,1,2,3,5,7]=>110010000 [5,7,8,9,4,10,6,3,2,1]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]=>[10,9,8,5,7,1,2,3,4,6]=>111010000 [6,7,8,9,10,1,4,5,3,2]=>[[1,2,3,4,5],[6,7,8],[9],[10]]=>[10,9,6,7,8,1,2,3,4,5]=>110010000 [6,7,8,9,10,1,4,5,2,3]=>[[1,2,3,4,5],[6,7,8],[9,10]]=>[9,10,6,7,8,1,2,3,4,5]=>010010000 [6,7,8,9,10,1,3,4,5,2]=>[[1,2,3,4,5],[6,7,8,9],[10]]=>[10,6,7,8,9,1,2,3,4,5]=>100010000 [6,7,8,9,10,1,5,4,3,2]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>111010000 [6,7,8,9,10,5,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>111110000 [6,5,8,7,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>0101010 [3,6,7,4,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>0101000 [2,6,7,4,5,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000 [2,5,4,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [3,5,4,7,6,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [5,4,3,8,7,6,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010 [6,4,8,3,7,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010 [6,3,8,4,5,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [5,3,4,8,6,7,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [3,2,5,6,1,8,7,4]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [4,2,5,6,8,1,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>0101000 [6,2,8,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [7,8,2,4,5,1,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [7,8,1,4,5,2,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [5,1,4,8,6,2,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [5,1,3,8,2,6,4,7]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [6,1,8,3,2,5,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [7,8,1,3,2,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [7,8,2,3,1,5,6,4]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [6,2,8,3,1,5,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>0101000 [6,3,8,2,1,7,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>0101010 [7,8,3,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>0101010 [7,8,4,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010 [5,4,2,8,7,1,6,3]=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>0101010 [4,5,2,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [2,5,3,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>0101000 [1,5,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [2,6,7,3,1,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [3,6,7,2,1,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [7,8,5,6,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>0101010 [5,4,1,8,7,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [6,4,8,1,7,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [7,8,3,1,2,6,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [5,3,1,8,2,7,4,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>0101000 [4,3,1,2,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [4,2,1,3,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [6,2,8,1,3,4,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [4,3,1,2,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [5,3,1,6,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [6,3,1,5,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [7,3,1,5,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [8,4,5,1,2,7,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [7,4,5,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [6,4,5,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [5,4,6,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [2,1,6,5,3,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [4,6,5,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [5,6,4,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [6,5,4,1,2,3,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [7,5,4,1,2,8,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [8,6,4,1,7,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [7,6,4,1,8,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [5,7,4,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [4,7,5,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [3,7,1,5,2,8,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [2,1,7,5,3,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [2,1,8,5,3,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [3,8,1,5,2,7,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [4,8,5,1,2,7,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [5,8,4,1,2,7,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [6,8,4,1,7,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [8,7,4,1,6,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [5,8,6,7,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [5,7,6,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [5,4,7,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [6,4,7,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [7,4,6,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [8,4,6,1,7,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [5,3,1,7,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [4,3,1,2,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [2,1,4,3,8,7,5,6]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [3,4,1,2,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [6,3,1,8,7,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [7,3,1,8,6,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [8,4,7,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [7,4,8,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [4,5,8,1,2,7,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [3,5,1,8,2,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [2,1,6,8,7,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [3,6,1,8,7,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [5,6,8,7,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [5,7,8,6,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [3,7,1,8,6,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [2,1,7,8,6,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [2,1,8,7,6,3,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [5,8,7,6,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [6,8,7,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [6,4,7,3,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [6,4,7,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [5,4,2,7,6,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [5,4,3,7,6,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [5,4,3,7,8,6,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [5,4,3,8,6,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [5,4,3,6,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [5,4,2,6,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [5,4,2,6,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [5,3,2,6,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [5,3,2,6,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [5,3,2,6,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [5,4,2,6,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [6,4,8,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [7,8,4,2,5,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [7,8,4,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [5,4,2,8,6,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [5,3,2,6,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [4,3,2,1,6,8,5,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [4,3,2,1,8,6,5,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [5,3,2,8,1,6,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [6,3,8,2,1,5,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [7,8,3,2,1,5,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [6,3,8,2,1,5,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [5,3,2,8,1,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [5,4,2,7,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [5,3,2,7,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [5,3,2,7,1,6,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [5,3,2,7,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [6,3,7,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [6,3,7,2,1,5,8,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [6,3,7,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [6,4,7,2,8,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [6,3,7,2,1,8,4,5]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [6,3,7,2,1,4,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [5,3,2,7,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [5,4,2,8,7,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [7,8,4,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [6,3,8,2,1,7,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [5,3,2,8,1,7,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [4,3,2,1,8,7,5,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [4,3,2,1,7,5,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [4,3,2,1,7,5,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [4,3,2,1,8,5,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [5,3,2,8,1,4,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [6,3,8,2,1,4,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [7,8,3,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [4,3,2,1,8,5,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [4,3,2,1,5,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [7,8,5,6,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [7,8,1,4,6,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [6,1,8,4,7,2,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [1,6,8,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [6,1,8,3,2,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [7,8,2,4,6,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [7,8,1,2,3,6,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [6,1,8,2,3,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [1,6,8,2,3,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [1,5,2,8,3,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [5,1,2,8,3,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [5,2,1,8,3,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [6,2,8,3,1,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [6,2,8,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [2,6,8,4,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [2,6,8,1,3,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [2,5,1,8,3,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [1,2,5,8,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [2,4,1,3,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [2,5,4,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [3,5,4,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [5,3,4,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [5,2,4,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [5,2,3,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [4,2,1,3,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [4,1,2,3,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [1,4,2,3,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [4,1,3,2,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [4,3,1,2,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [5,3,1,8,2,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [5,1,3,8,2,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [1,5,4,8,7,2,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [5,1,4,8,7,2,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [5,4,1,8,7,2,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [6,5,8,7,1,2,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [5,6,8,7,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [4,5,1,8,7,2,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [1,4,5,8,7,2,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [1,3,5,8,2,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [3,1,5,8,2,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [3,6,8,1,2,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [4,6,8,2,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [4,5,3,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [4,5,2,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [3,1,4,2,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [3,1,2,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [3,2,5,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [4,2,5,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [4,3,5,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [3,4,5,8,7,6,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [2,4,5,8,7,1,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [2,3,5,8,1,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [4,1,3,2,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,1,3,2,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [6,1,3,2,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [7,1,3,2,5,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,1,3,2,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,1,4,2,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [7,1,4,2,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [6,1,4,2,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,1,4,2,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [2,1,6,3,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,6,2,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,6,2,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,7,2,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,7,2,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,7,3,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,8,3,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,8,2,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,8,2,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [7,1,4,3,8,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [8,1,4,3,7,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [8,1,5,3,7,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [7,1,5,3,8,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [5,1,8,2,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,8,2,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,8,2,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,8,3,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,7,3,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,7,2,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [5,1,7,2,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [8,1,5,2,6,3,7,4]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [6,1,5,2,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [6,1,4,2,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,1,4,2,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,1,3,2,6,4,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [7,1,3,2,6,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [6,1,3,2,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,1,3,2,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,1,3,2,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [2,1,4,3,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,4,2,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,1,3,2,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [5,1,3,2,8,4,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [6,1,3,2,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [8,4,7,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [7,4,8,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [6,1,4,2,8,3,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [5,1,4,2,8,3,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,1,5,2,8,3,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,5,2,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,5,3,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,6,3,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,6,2,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,1,6,2,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [5,1,6,2,8,3,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [6,1,5,2,8,3,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [6,2,8,3,7,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [8,3,7,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [5,1,8,3,7,2,6,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [4,1,8,3,7,2,6,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [3,1,8,4,7,2,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [2,1,8,4,7,3,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [7,3,8,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>0101010 [8,2,6,3,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [7,2,6,3,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [3,4,2,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [5,3,6,2,8,1,4,7]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [5,3,6,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [5,7,3,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,7,3,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [7,4,2,5,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [7,4,2,5,8,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [4,5,2,6,3,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [4,5,2,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [5,6,2,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [3,5,6,1,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [4,5,1,6,3,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [4,5,6,3,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [7,4,5,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [7,4,5,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [5,3,7,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [7,3,5,8,1,4,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [7,4,1,5,8,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [6,7,4,3,8,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [5,6,7,3,8,4,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [5,6,7,3,1,8,4,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [5,6,1,7,3,8,4,2]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [5,1,6,7,3,8,4,2]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [6,4,7,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [6,7,2,8,4,5,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [6,7,2,8,4,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [6,1,7,4,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [5,1,6,7,3,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [5,6,1,7,3,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [5,6,7,3,2,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [5,6,7,3,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [5,6,2,7,3,8,4,1]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [5,6,2,7,3,1,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [5,6,2,1,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [6,1,7,4,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [4,7,1,5,2,8,3,6]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [7,4,2,5,1,8,3,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [6,7,4,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [3,6,7,2,8,4,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [3,6,7,2,8,4,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [3,4,7,8,2,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [3,7,8,1,4,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [3,4,7,8,2,6,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [5,7,3,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,6,7,2,8,5,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [3,6,7,8,5,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [3,6,7,8,5,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [6,4,7,8,2,5,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [4,1,5,7,8,2,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [5,3,7,8,1,6,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [6,7,2,8,5,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [6,4,1,7,8,2,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [5,1,6,2,7,8,4,3]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [5,6,2,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [5,6,2,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [5,6,2,7,8,4,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [5,6,7,2,8,4,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [5,6,7,2,1,8,4,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [5,6,1,7,2,8,4,3]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [5,1,6,7,2,8,4,3]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [3,6,7,1,8,5,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [6,7,8,5,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [6,7,8,3,5,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [4,6,7,8,1,5,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [5,1,6,7,8,4,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [5,6,1,7,8,4,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [5,6,7,1,8,4,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [8,6,1,3,4,2,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [8,3,2,5,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [8,5,3,6,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [5,3,2,7,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [7,5,3,8,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [2,4,5,3,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [8,2,4,5,6,1,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [8,1,2,4,5,6,3,7]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [8,2,5,1,3,6,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [8,5,6,2,1,4,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [8,5,3,6,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [8,4,1,5,6,3,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [4,5,3,7,2,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [4,3,6,7,2,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [1,4,3,6,7,2,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [4,5,3,7,1,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [4,1,5,3,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [5,3,4,7,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [7,5,8,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [7,4,5,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [4,3,6,7,8,1,5,2]=>[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>0101000 [1,6,4,7,8,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [6,4,7,8,3,5,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [3,5,6,7,8,4,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [6,2,4,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [2,6,7,1,4,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [4,3,6,7,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [1,5,3,6,7,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [3,5,6,7,8,2,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [3,5,6,7,8,2,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [5,2,7,1,3,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [4,5,2,7,8,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [4,2,6,7,8,3,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [3,6,2,7,4,8,5,1]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [3,6,2,7,4,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [3,2,1,6,4,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [3,7,4,2,1,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [4,7,2,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [7,8,4,2,1,3,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [7,8,1,3,4,2,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [7,8,3,4,2,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [6,3,2,7,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [3,6,2,7,1,8,5,4]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [6,4,7,8,5,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [2,6,4,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [4,6,2,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [7,4,5,8,6,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [7,4,1,5,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [7,5,3,8,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [7,5,8,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [6,2,7,1,3,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [6,3,1,7,8,2,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [5,2,6,7,8,4,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [2,5,6,7,8,4,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [1,5,2,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [6,7,3,8,5,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [6,4,7,8,5,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [4,5,2,3,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [6,4,3,7,2,5,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [8,4,3,6,5,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [4,6,2,7,3,5,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [4,7,2,6,5,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [1,7,5,4,8,3,6,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>1110100 [8,7,5,4,1,3,2,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [6,8,5,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [5,8,6,2,4,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [4,1,2,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [5,1,6,2,4,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [6,1,5,4,2,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [7,1,5,4,8,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [8,1,5,4,7,6,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [8,1,6,7,4,5,2,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [6,1,7,8,2,4,5,3]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [5,1,7,2,8,4,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,1,2,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [3,2,1,7,8,5,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [4,8,2,7,1,5,3,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [8,7,6,1,4,3,2,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [1,6,7,8,3,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [8,6,7,1,3,4,2,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [7,6,8,1,3,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [5,7,8,2,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [4,7,2,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [3,2,6,8,4,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [4,6,2,8,3,1,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [6,5,8,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [8,5,7,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [1,5,7,3,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [8,4,3,7,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [6,4,3,8,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [6,4,3,1,2,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [7,4,3,1,8,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [8,4,3,1,7,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [1,5,8,3,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [8,5,1,3,7,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [7,5,1,3,8,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [6,5,1,3,2,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [4,6,2,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [3,2,6,1,4,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [4,7,2,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [5,7,1,2,8,3,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [6,7,1,8,2,3,5,4]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [8,6,1,7,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [1,6,8,7,3,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [8,7,1,6,5,3,2,4]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>1111100 [6,8,1,7,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [4,1,2,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [5,1,8,2,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [7,1,8,6,5,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [8,1,7,6,5,4,2,3]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>1111100 [3,1,2,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [3,1,6,2,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [3,1,5,2,4,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [1,6,5,3,4,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [6,1,5,2,4,8,7,3]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [6,5,1,2,3,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [6,4,1,2,3,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [5,4,1,2,3,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [5,4,1,2,7,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [6,4,1,7,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [6,4,1,8,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,4,1,2,8,3,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [7,5,1,2,8,3,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [7,1,5,2,8,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,1,5,2,7,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,5,1,2,7,3,6,4]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [8,4,1,2,7,3,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [8,4,1,7,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,4,1,6,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [8,6,1,7,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [1,8,6,7,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [1,7,6,8,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [7,6,1,8,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [4,7,1,2,8,3,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [3,1,7,2,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,2,7,8,5,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [4,1,2,8,7,5,6,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [3,1,2,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [3,1,8,2,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [3,1,8,7,2,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [3,1,7,6,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [4,7,1,6,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [4,8,1,6,2,3,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [4,8,1,7,2,3,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [4,8,1,2,7,3,6,5]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [5,8,1,2,7,3,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [5,1,8,2,7,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [1,5,8,3,7,4,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [6,8,1,7,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [6,8,7,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [5,8,7,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [5,8,6,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [5,7,6,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [7,8,1,6,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [8,1,7,6,2,4,5,3]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [8,7,1,6,2,3,5,4]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [3,2,5,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [3,2,5,4,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,2,5,3,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,2,5,3,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,2,5,3,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,2,5,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [3,1,5,4,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,5,3,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,3,5,1,6,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,3,5,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [4,3,6,2,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [4,3,6,2,7,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [4,3,6,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,3,5,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [3,1,5,4,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,5,4,7,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,5,4,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,1,5,3,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,3,5,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,3,6,1,7,5,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,3,6,5,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [5,3,6,4,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [5,3,6,4,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [5,3,6,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [5,1,6,3,7,4,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,1,6,3,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,6,4,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,6,4,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,6,4,7,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,6,4,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,6,3,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [5,1,6,3,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [5,3,6,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,3,6,2,7,1,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [5,3,6,2,7,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [5,2,6,3,7,4,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [5,2,6,3,7,1,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [5,2,6,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,2,5,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,2,6,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,2,6,3,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,2,6,3,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,2,6,4,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,2,6,4,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,2,6,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [3,2,5,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [3,2,4,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [3,1,4,2,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,2,5,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [3,2,6,1,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [3,2,6,5,7,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [4,2,6,5,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [4,2,6,5,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [4,2,6,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,2,5,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,1,5,2,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,5,2,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,5,3,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,6,3,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,6,2,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,1,6,2,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [5,1,6,2,7,4,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [5,2,6,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [5,2,6,4,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [5,2,6,4,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [5,4,6,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [5,4,6,2,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [5,4,6,1,7,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,1,6,4,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,6,5,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,6,5,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,6,5,7,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,6,5,7,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [4,1,6,5,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [5,1,6,4,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [5,4,6,1,7,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [5,4,6,3,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,6,3,5,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [3,7,5,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [8,3,7,5,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [2,4,5,7,3,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [8,2,4,6,5,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [8,2,5,4,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [8,6,3,5,1,4,2,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [8,6,1,4,5,3,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [8,1,5,6,4,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [5,7,4,3,2,1,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [8,5,7,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [1,4,6,7,3,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [5,4,7,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [1,7,4,5,3,2,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [3,7,5,1,4,2,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [5,7,4,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [8,5,7,4,2,1,6,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>1101010 [8,3,7,5,1,4,6,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [4,6,3,8,7,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [1,7,4,8,6,3,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [8,4,7,6,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [3,6,5,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [3,1,5,8,6,7,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [3,6,4,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [8,2,6,1,4,7,5,3]=>[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>1100100 [2,7,6,8,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [3,7,1,6,4,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [1,7,3,5,6,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [1,3,6,7,5,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [3,7,6,5,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [3,6,8,5,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [2,3,5,7,6,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [2,1,6,5,7,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [4,2,7,6,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [3,8,2,4,6,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [3,7,2,6,4,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [3,2,6,1,4,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [5,3,7,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [4,7,3,2,1,5,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [8,7,6,1,3,4,2,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [8,5,7,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>1101010 [8,7,6,3,5,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [8,4,1,5,7,2,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [8,5,3,7,1,6,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [8,5,7,2,1,3,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [8,2,6,7,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [4,6,1,8,7,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [8,1,2,5,6,7,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [2,1,7,8,5,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [8,2,5,7,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [1,7,2,5,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [3,7,8,1,6,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [2,7,8,6,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [8,7,6,3,5,1,4,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [8,4,7,6,5,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [8,7,1,5,6,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [8,1,6,7,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [6,5,3,1,2,4,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [8,5,3,7,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [6,8,1,4,5,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [8,7,2,4,5,1,3,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [3,6,2,4,5,1,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [2,6,1,4,5,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [6,1,2,4,5,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [5,6,3,2,1,4,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [5,4,3,6,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [6,3,1,4,5,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [3,1,6,4,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [8,3,7,4,5,1,2,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [5,8,7,4,2,6,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [2,8,7,4,1,6,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [2,1,8,7,5,3,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [2,1,6,8,5,7,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [7,6,1,4,5,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [8,5,7,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [2,4,8,3,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [4,1,8,3,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [8,4,1,3,5,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [7,5,8,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>1101010 [2,1,5,8,4,6,7,3]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [2,1,4,8,3,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [6,4,3,8,2,1,7,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [7,3,8,4,2,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [8,3,1,2,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [3,1,8,2,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [2,3,8,1,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [4,3,8,2,5,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [4,8,2,3,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [2,8,1,3,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [8,1,2,3,5,6,7,4]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [7,8,2,4,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,3,2,4,1,7,5]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [2,1,8,3,4,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [2,7,8,4,5,3,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [8,7,1,4,3,6,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [5,7,8,4,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [5,6,3,8,4,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [4,8,3,6,2,1,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [8,6,3,1,4,2,7,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [7,5,3,8,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [4,1,3,2,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [7,5,3,6,2,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [8,6,3,5,1,2,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [5,8,3,2,6,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [3,5,8,4,7,6,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [8,7,5,4,1,6,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [2,7,6,4,5,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [7,1,6,4,5,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [5,7,3,6,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [2,1,8,5,3,6,7,4]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [6,8,3,5,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [8,1,4,2,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [4,8,1,2,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [3,4,8,1,5,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [3,4,2,8,5,6,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [2,4,1,8,5,6,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [8,4,2,1,5,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [7,5,2,4,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [6,5,3,2,8,1,7,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010 [2,1,5,3,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [6,4,3,5,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [7,3,5,4,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [8,3,4,1,5,6,7,2]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [6,5,3,7,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [6,3,7,4,5,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [6,7,2,4,5,8,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [5,1,7,4,8,6,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [2,5,7,4,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [5,6,3,7,1,8,4,2]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [3,8,7,4,5,2,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>1111000 [3,7,5,4,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [5,6,3,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [4,6,3,8,1,2,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [3,7,8,4,1,6,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [3,6,2,5,4,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [3,5,2,4,7,1,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [3,5,8,2,4,7,6,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [4,2,5,8,3,7,6,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [5,4,2,1,6,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [6,3,5,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [4,6,1,5,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [5,4,3,8,2,7,6,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010 [4,3,6,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [4,3,7,6,2,1,8,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>1010100 [6,4,3,1,7,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [7,5,4,3,1,8,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [7,1,3,5,8,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [7,2,5,8,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [2,8,5,7,4,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,5,8,7,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [1,4,5,8,7,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [1,5,4,8,7,3,6,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [6,4,3,8,1,7,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>0101010 [4,3,7,1,8,6,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [4,8,3,7,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [5,3,8,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [7,5,3,1,8,6,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>0101010 [1,5,8,6,3,7,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [4,6,1,8,7,3,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [6,8,7,3,1,4,5,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [6,2,8,7,4,5,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [7,6,2,8,4,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [7,3,1,6,8,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [1,7,6,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [6,1,7,5,3,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [7,6,5,3,2,1,8,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [6,5,3,2,8,7,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010 [5,2,6,3,8,7,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [5,2,7,6,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [6,5,2,1,7,3,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [5,2,7,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [2,4,8,6,3,7,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [4,3,7,8,2,1,5,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [8,3,7,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [3,8,2,5,7,1,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [8,3,6,2,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [7,8,3,6,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>0101010 [8,7,3,6,2,5,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>1111010 [4,2,6,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [5,4,8,2,7,1,6,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>0101010 [5,8,3,7,1,6,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [5,8,7,2,6,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [8,6,2,7,5,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [3,6,8,1,7,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [5,1,6,8,2,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [6,5,2,8,1,7,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>0101010 [5,2,7,1,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [5,8,2,7,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [6,2,8,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [7,6,2,1,8,5,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010 [6,1,7,2,8,5,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [7,5,1,8,2,6,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [4,7,1,8,6,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [8,7,4,6,1,5,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>1111010 [8,5,7,1,6,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>1111010 [6,8,1,7,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [7,1,8,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [5,4,2,3,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [6,4,2,7,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [7,4,2,6,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [8,4,2,6,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [4,7,2,6,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [3,2,8,6,4,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [3,2,1,6,4,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [7,1,5,2,8,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [1,8,6,7,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>1010000 [5,8,7,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [1,7,6,8,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>1010000 [6,5,8,2,3,1,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [6,4,2,8,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [5,4,2,3,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [3,2,5,4,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [4,5,2,3,1,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [5,4,2,3,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [6,4,2,1,3,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [7,4,2,1,8,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [8,4,2,1,7,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [1,4,2,8,7,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [8,5,1,2,7,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [7,5,1,2,8,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [4,6,2,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [3,2,6,1,4,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [3,2,7,1,8,4,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [7,6,1,8,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [8,6,1,7,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [7,8,1,6,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [6,8,1,7,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [4,8,2,1,7,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [3,2,8,1,7,4,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [3,2,1,8,7,4,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [5,1,8,2,7,3,4,6]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [6,1,8,7,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [8,1,7,6,2,3,4,5]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [1,8,7,6,2,3,4,5]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000 [6,3,5,1,2,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [4,3,5,6,1,2,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [8,3,7,5,2,1,4,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [6,3,7,5,1,8,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [6,5,2,7,1,8,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [8,5,2,7,4,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [6,4,3,5,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [5,3,1,4,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [3,1,4,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [8,1,4,7,2,6,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>1101000 [3,4,7,8,5,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [8,6,3,5,1,7,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [5,8,2,4,6,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [3,4,8,6,5,7,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [7,5,4,8,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010 [5,1,4,6,8,2,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>0101000 [2,5,4,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [4,1,6,3,8,5,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,7,4,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [7,4,1,3,5,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [6,5,8,4,1,7,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [2,1,4,8,3,7,6,5]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [7,4,3,8,2,1,6,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [6,3,7,4,1,8,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [8,3,1,2,5,7,6,4]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [3,1,8,2,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [2,3,8,1,6,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [4,7,2,3,8,5,6,1]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [2,8,1,3,6,5,7,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [2,7,8,5,4,3,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [8,7,1,6,3,4,2,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000 [3,8,6,7,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,3,8,7,4,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [4,3,8,7,2,1,6,5]=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>0101010 [7,3,5,8,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [4,1,3,2,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [5,6,2,8,7,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [7,8,5,6,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [8,1,6,4,5,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [5,8,3,6,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [2,1,7,5,3,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [6,7,3,5,2,1,8,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [7,1,4,2,5,6,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [4,6,1,2,8,7,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [2,4,1,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [6,4,2,1,5,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [8,5,2,4,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [2,1,5,3,6,8,7,4]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [7,3,5,4,6,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [6,3,4,1,5,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [4,3,1,5,7,6,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [4,5,2,6,3,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [6,5,2,1,4,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [8,3,7,5,2,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [6,3,7,5,2,8,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [3,1,6,5,4,2,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [5,6,3,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [2,6,1,3,5,4,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [8,7,2,3,4,1,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [5,1,7,3,8,4,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,5,7,3,8,6,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [7,6,1,3,5,8,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [3,6,7,4,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [5,6,3,7,4,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [2,1,6,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,1,8,7,4,3,6,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [5,8,3,7,4,2,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>1110100 [3,8,7,4,1,2,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [7,8,1,3,5,2,6,4]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [2,8,6,3,1,5,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [2,8,4,1,6,3,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [3,8,4,2,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [2,1,5,3,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [6,5,3,2,8,7,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [7,5,2,4,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [3,4,2,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [2,4,1,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [8,4,2,1,7,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [4,3,1,8,6,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [3,1,4,8,6,5,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [7,1,6,5,4,8,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [3,7,5,6,8,4,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [8,6,2,5,1,7,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [5,6,2,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [7,5,2,8,3,4,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [5,6,2,8,4,3,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [8,7,2,1,4,5,6,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [3,6,8,7,1,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [5,7,8,6,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [7,1,8,5,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [2,7,8,4,5,3,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [5,7,3,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [6,5,3,8,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [7,5,8,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [2,4,8,3,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000 [8,4,1,3,7,2,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [3,1,8,2,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [2,3,8,1,4,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [4,3,8,2,5,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [7,4,3,8,2,5,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [2,1,4,8,3,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [6,8,2,4,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [3,8,2,1,4,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [2,8,1,3,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [2,8,4,1,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [2,8,5,6,7,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [3,5,7,6,1,4,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000 [7,5,8,2,4,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [2,8,5,3,4,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [2,8,5,3,4,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [2,8,5,3,4,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [2,8,7,6,1,4,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [2,8,5,3,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [2,8,5,3,4,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [2,8,5,3,4,6,1,7]=>[[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>1110000 [3,5,7,2,4,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [6,5,2,7,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [6,5,2,8,3,1,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [7,5,8,6,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010 [6,5,8,2,1,3,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [3,5,6,2,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [3,5,7,2,4,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [3,5,7,2,4,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [6,5,2,7,3,1,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [4,5,2,6,3,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [6,5,2,7,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [5,1,6,7,4,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [5,1,2,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [5,1,2,8,6,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [6,5,2,8,3,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [5,6,8,2,3,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [6,5,8,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [7,5,2,8,3,4,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [6,5,2,8,3,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [6,5,2,7,3,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [7,1,6,8,4,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [5,7,8,6,3,4,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [4,1,8,3,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [4,1,8,3,6,2,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [3,1,4,8,6,2,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [4,5,2,6,3,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [4,5,2,7,3,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [3,5,6,2,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [3,6,5,2,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [7,1,6,5,8,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [7,5,2,6,3,8,4,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [4,5,2,7,3,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [4,1,6,7,8,3,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [4,1,2,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [4,5,2,6,3,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [7,8,5,6,1,4,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010 [2,4,8,1,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [4,3,8,1,7,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [7,8,3,4,5,1,6,2]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [7,8,3,5,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [7,8,3,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [7,8,2,1,5,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [7,8,1,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [6,2,1,7,5,4,3,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100 [1,3,8,2,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [5,3,6,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [6,1,2,5,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [6,3,1,8,4,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [6,4,2,1,5,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [6,4,3,7,5,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [4,3,8,7,5,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [1,3,7,6,4,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [2,1,7,5,6,8,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [3,7,2,8,6,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [3,8,1,7,6,4,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>1110100 [2,7,5,8,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,5,6,8,2,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [5,6,7,3,8,4,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [5,2,8,1,4,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [4,5,6,7,2,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [4,5,7,6,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [4,7,5,6,3,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [5,1,6,3,4,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [5,1,4,2,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [1,6,2,4,7,8,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [5,7,2,4,1,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [4,8,2,1,5,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [4,2,7,8,1,6,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [3,1,4,7,8,2,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [3,1,7,4,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [4,3,7,5,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [4,8,6,3,5,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [4,8,1,2,5,3,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [3,8,5,6,1,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [5,2,8,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010 [3,6,7,8,5,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [3,7,8,5,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [4,1,8,6,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [4,7,8,6,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [3,8,7,6,5,4,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [2,1,7,6,5,3,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [2,8,1,6,4,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [2,7,8,6,5,4,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [6,4,2,7,1,3,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [7,4,2,5,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [8,5,3,6,1,7,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [7,3,6,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [4,3,7,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [5,3,6,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [6,3,7,4,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>0100100 [3,7,5,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [4,7,6,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [5,7,4,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>1100100 [3,7,6,1,4,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>1100100 [6,4,7,5,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [7,4,8,5,2,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [5,8,2,6,3,7,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [3,8,6,2,4,7,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>1100100 [4,8,6,2,7,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [2,6,5,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [2,5,7,4,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [3,5,7,1,4,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [5,3,7,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [5,4,7,3,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [7,4,6,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [8,4,6,3,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [6,5,3,7,1,8,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [6,5,1,2,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [5,3,6,4,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [6,3,7,4,8,5,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100 [7,5,1,2,8,6,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [7,6,1,8,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [8,6,1,7,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [3,6,8,2,7,1,4,5]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [2,4,8,7,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [3,5,8,7,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [2,5,8,7,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [2,8,7,6,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [3,8,7,6,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [4,8,7,6,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [5,6,3,1,4,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [7,5,3,8,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [3,8,7,4,5,1,6,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [2,1,7,8,5,3,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [5,7,3,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [8,7,1,4,5,3,2,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [7,1,8,4,2,6,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [7,5,1,4,8,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [6,5,3,1,8,4,7,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [8,6,3,1,2,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [8,7,1,4,2,6,5,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [2,3,4,5,6,7,8,1,9]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>10000000 [2,3,4,5,6,8,9,1,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [2,3,4,5,7,8,9,1,6]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [2,3,4,6,7,8,9,1,5]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [2,3,5,6,7,8,9,1,4]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [2,4,5,6,7,8,9,1,3]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [3,4,5,6,7,8,9,1,2]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [2,3,4,5,6,7,8,9,10,1]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [2,3,4,5,6,7,8,9,1,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>100000000 [2,3,4,5,6,7,8,10,1,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [2,3,4,5,6,1,9,7,8]=>[[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>01000000 [2,3,4,5,6,7,9,10,1,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [2,3,4,5,6,8,9,10,1,7]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [2,3,4,5,7,8,9,10,1,6]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [2,3,4,6,7,8,9,10,1,5]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [2,1,5,6,7,8,9,3,4]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,8,9,1,3,4,5,6,7]=>00100000 [2,3,5,6,7,8,9,10,1,4]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [1,4,5,6,7,8,9,2,3]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [2,4,5,6,7,8,9,10,1,3]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [3,4,5,6,7,8,9,10,1,2]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [5,3,2,7,4,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [7,5,3,6,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [6,3,2,5,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [8,5,3,6,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [8,2,6,3,4,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [7,2,6,3,4,5,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [6,2,7,3,4,5,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [4,2,5,7,3,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [5,4,7,6,2,3,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [6,7,3,5,2,4,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [6,5,3,1,2,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [8,5,2,1,7,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [7,5,2,1,8,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [5,6,2,3,1,8,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [5,4,8,6,2,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [6,8,3,5,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,5,2,3,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [6,8,2,1,7,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [1,8,6,3,7,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [1,8,2,7,3,4,5,6]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [2,8,1,7,3,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [8,1,2,7,3,4,5,6]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [3,6,2,7,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [6,3,7,1,2,8,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [7,2,6,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [5,4,1,3,6,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [1,5,3,4,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [5,4,6,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [6,5,3,4,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [5,3,2,8,7,1,4,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [5,3,1,8,7,2,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [8,5,3,7,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [6,3,8,1,7,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [3,7,8,2,4,6,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [6,7,3,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [5,4,7,8,2,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [2,1,8,7,3,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [1,2,8,7,3,4,5,6]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [4,1,5,8,7,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [7,8,6,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [8,1,5,3,7,2,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [8,1,5,3,6,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [7,5,1,3,6,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [7,5,8,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [7,4,8,3,2,6,5,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [7,4,1,3,2,6,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [8,1,4,3,2,7,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [8,1,5,4,6,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [8,1,5,3,6,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,1,4,3,2,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [7,4,1,3,2,5,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [7,4,8,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [6,4,3,8,2,5,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [6,4,3,1,2,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [7,4,1,3,2,5,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [7,4,1,3,2,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [7,5,1,3,6,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [7,5,1,4,6,8,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [7,5,8,3,6,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>1101010 [7,4,8,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>1101010 [7,4,8,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [6,4,3,8,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [6,4,3,7,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [5,4,3,2,8,7,1,6]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [6,5,3,8,7,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>1101010 [6,5,4,8,7,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [6,5,4,1,7,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [6,5,3,1,7,2,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [6,4,3,1,2,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [5,4,3,2,1,8,6,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [6,5,3,1,8,2,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [6,5,4,1,8,7,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [7,5,1,4,8,6,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [7,4,1,3,2,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [7,4,1,3,2,8,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [6,4,3,1,2,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [6,4,3,1,2,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [6,4,3,8,2,7,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010 [6,5,3,8,7,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>1101010 [6,5,3,1,7,2,4,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [6,5,3,1,8,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [7,5,1,3,8,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [7,6,1,8,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [7,6,1,8,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [7,6,8,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [6,5,3,7,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [6,4,3,7,2,8,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [6,4,3,7,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [7,4,8,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [7,4,8,3,2,1,6,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>1101010 [7,5,8,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [7,5,8,4,1,6,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [6,5,4,8,1,7,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [6,5,3,8,1,2,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [5,4,3,2,8,1,7,6]=>[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010 [6,4,3,7,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [6,5,3,7,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [6,5,4,7,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [6,5,3,7,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [6,4,3,7,2,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [5,6,2,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [5,3,7,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [7,6,1,2,5,8,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [2,1,7,8,4,3,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [7,8,1,2,5,4,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [8,4,1,3,7,6,2,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [6,5,2,1,8,7,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>0101010 [4,7,2,8,1,3,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [7,3,8,6,1,2,5,4]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [3,4,7,1,8,2,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [1,8,2,4,3,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,7,2,4,3,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,6,2,4,3,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,5,2,4,3,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,6,2,5,3,4,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,7,2,5,3,4,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,8,2,5,3,4,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,8,2,6,3,4,5,7]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,7,2,6,3,4,5,8]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [1,8,2,7,3,5,4,6]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [1,7,2,8,3,5,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,6,2,8,3,5,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,5,2,8,3,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,4,2,8,3,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,3,2,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,2,3,8,4,6,5,7]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [1,2,3,7,4,6,5,8]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [1,3,2,7,4,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,4,2,7,3,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,5,2,7,3,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,6,2,7,3,5,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,7,2,6,3,5,4,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [1,8,2,6,3,5,4,7]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [1,8,2,5,3,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,7,2,5,3,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,6,2,5,3,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,5,2,4,3,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,6,2,4,3,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,7,2,4,3,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,8,2,4,3,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,8,2,3,4,6,5,7]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [1,7,2,3,4,6,5,8]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [1,8,2,3,4,7,5,6]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [1,8,2,4,3,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,7,2,4,3,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,6,2,4,3,8,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,5,2,4,3,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,6,2,5,3,8,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,7,2,5,3,8,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,8,2,5,3,7,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,8,2,6,3,7,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,7,2,6,3,8,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,2,3,8,4,7,5,6]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [1,3,2,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,4,2,8,3,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,5,2,8,3,7,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,6,2,8,3,7,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,7,2,8,3,6,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,8,2,7,3,6,4,5]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [4,6,3,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [4,6,3,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [4,6,3,8,5,1,7,2]=>[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100 [4,6,3,8,5,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [5,6,8,3,4,1,2,7]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [5,6,8,3,4,1,7,2]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [4,6,2,7,5,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [5,6,7,2,4,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [5,6,8,4,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [5,7,8,4,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [5,7,8,4,1,3,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [5,6,8,2,4,1,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [4,6,2,8,5,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100 [3,2,6,8,5,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [4,6,2,8,5,1,3,7]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [5,6,8,2,4,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [5,6,8,4,2,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [5,7,8,4,1,3,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [5,7,8,4,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [6,7,8,1,5,2,4,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [6,7,8,1,5,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [6,7,8,1,3,5,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [5,7,8,2,1,6,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [3,2,7,8,1,6,4,5]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [3,2,7,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [6,7,8,1,3,5,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [6,7,8,1,5,3,4,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [6,7,8,1,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [6,7,8,1,5,4,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [6,7,8,1,4,5,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [6,7,8,1,4,5,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [6,7,8,1,4,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [6,7,8,1,3,4,5,2]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [4,7,2,8,1,5,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [3,2,7,8,1,5,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [3,2,6,8,4,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [4,6,2,8,3,1,7,5]=>[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100 [5,7,8,3,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [4,7,3,8,1,5,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [4,5,3,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [4,5,3,2,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [4,7,3,8,1,2,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [4,7,3,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [5,7,8,3,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [5,7,8,3,1,4,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [5,6,8,3,2,1,4,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [3,2,7,8,1,5,4,6]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [5,7,8,2,1,4,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [6,7,8,1,3,4,2,5]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [6,7,8,1,4,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [6,7,8,1,4,2,5,3]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [6,7,8,1,2,5,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [6,7,8,1,2,5,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [6,7,8,1,2,4,5,3]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [6,7,8,1,3,2,5,4]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [3,2,7,8,1,4,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [6,7,8,1,2,4,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [6,7,8,1,2,3,5,4]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [7,2,8,5,1,6,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [1,3,7,5,2,6,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [1,3,7,5,4,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [7,2,8,5,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>1010100 [2,8,5,4,3,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [2,8,4,5,6,1,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [2,8,6,5,7,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [2,8,4,5,3,7,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [2,8,4,3,5,6,1,7]=>[[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>1110000 [7,2,8,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [6,3,2,8,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [6,4,8,5,1,3,7,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [6,3,7,5,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>1010100 [4,3,7,5,1,2,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>0100100 [4,3,7,1,5,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [3,6,1,7,5,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [3,4,1,2,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [3,4,2,1,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [3,6,5,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [3,5,2,6,4,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [5,3,1,8,6,4,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [5,6,1,8,7,2,4,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [6,3,5,8,2,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [6,5,8,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [6,2,5,8,3,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [1,6,5,7,3,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [1,5,2,7,4,6,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [5,2,1,8,7,6,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100 [7,1,3,8,4,6,2,5]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [2,3,4,8,6,1,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [2,3,4,8,6,5,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [1,5,4,6,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [5,3,6,4,1,8,7,2]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [5,3,6,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [7,3,5,6,8,4,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [2,7,6,5,8,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>1110100 [3,1,4,2,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [5,1,4,7,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [3,6,4,7,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [3,1,4,6,8,5,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [6,3,4,5,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [7,2,1,4,3,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [7,3,4,1,2,6,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [7,4,3,2,1,6,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [1,8,3,2,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [7,3,5,1,6,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [7,2,1,6,5,4,3,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [7,4,6,5,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [1,8,5,4,3,2,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [6,5,7,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [6,4,7,5,1,3,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [6,2,1,7,5,4,8,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [3,2,1,8,5,4,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [2,6,8,4,3,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [1,8,7,5,6,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>1110100 [2,7,8,5,6,3,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [2,5,8,6,7,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [5,4,7,6,1,8,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [1,8,6,5,7,3,2,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [1,8,5,6,7,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [5,2,1,6,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [6,2,1,5,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [6,3,5,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [6,4,5,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [6,5,4,7,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [5,6,4,7,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,8,4,6,2,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [1,8,3,2,6,7,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [5,6,3,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [6,4,3,2,1,7,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [6,2,1,4,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [4,7,3,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [1,8,3,2,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [3,6,4,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,4,5,8,1,2,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [4,2,1,5,8,3,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [4,2,1,6,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [3,4,6,8,1,7,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [3,5,6,8,7,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [3,6,5,8,7,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [3,6,7,8,5,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [3,5,7,8,6,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [3,4,7,8,1,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [4,2,1,7,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [2,3,8,1,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [2,4,8,7,1,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [2,1,4,3,6,5,8,7,10,9,12,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>00000100000 [6,5,4,3,2,1,12,11,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>01010101010 [12,11,10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>11111111111 [7,4,6,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [8,3,5,1,7,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [8,3,4,1,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [1,7,5,2,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [7,5,2,1,6,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [6,8,4,3,1,7,5,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>0101010 [3,6,7,5,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [7,5,6,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [3,4,6,5,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [4,7,5,6,1,8,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [6,7,5,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [6,8,4,1,7,5,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [6,7,5,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [8,4,2,1,6,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [1,8,4,2,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [5,3,2,1,7,6,8,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [2,8,4,1,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [2,7,5,1,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [4,7,1,6,5,8,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [4,8,2,6,5,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [4,6,1,2,7,5,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [7,5,1,2,6,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [8,4,1,2,6,7,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [5,3,1,2,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [4,3,1,2,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [3,5,1,2,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [2,7,6,1,5,8,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>1100100 [7,6,1,5,8,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [3,6,7,1,5,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [7,1,6,5,8,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [7,5,1,6,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [8,4,1,6,7,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [5,2,3,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [1,7,6,2,5,8,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [7,6,2,1,5,8,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [8,3,1,5,7,6,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [6,2,4,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [6,2,5,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [7,1,6,4,8,2,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [8,2,6,4,7,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [6,1,5,2,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [7,6,2,5,8,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [8,3,5,7,6,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [1,5,2,3,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [5,2,1,3,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [7,5,2,6,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [8,4,2,6,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [6,1,4,2,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [8,2,6,5,7,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [3,6,8,2,5,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [8,3,2,5,7,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [5,1,3,2,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,1,3,2,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,2,1,3,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [1,4,2,3,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,4,1,3,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [2,5,1,3,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [6,8,2,3,5,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [6,7,1,3,5,8,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [8,3,5,7,6,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [10,8,9,5,6,7,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [10,8,9,4,5,6,1,2,3,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [10,7,8,5,6,9,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [10,7,8,4,5,9,1,2,3,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [10,6,7,4,5,8,1,2,3,9]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [10,7,8,3,4,9,1,2,5,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [10,6,7,3,4,8,1,2,5,9]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,8,10,5,6,7,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,8,10,4,5,6,1,2,3,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,7,10,5,6,8,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,7,10,4,5,8,1,2,3,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,6,10,4,5,7,1,2,3,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,7,10,3,4,8,1,2,5,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,6,10,3,4,7,1,2,5,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,7,9,5,6,10,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,7,9,4,5,10,1,2,3,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,6,9,4,5,10,1,2,3,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [7,6,8,4,5,9,1,2,3,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,7,9,3,4,10,1,2,5,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,6,9,3,4,10,1,2,5,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [7,6,8,3,4,9,1,2,5,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,6,10,5,7,8,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,6,10,4,7,8,1,2,3,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,5,10,4,6,7,1,2,3,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,6,10,3,7,8,1,2,4,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,5,10,3,6,7,1,2,4,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,6,9,5,7,10,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,6,9,4,7,10,1,2,3,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,5,9,4,6,10,1,2,3,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [7,5,8,4,6,9,1,2,3,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,6,9,3,7,10,1,2,4,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,5,9,3,6,10,1,2,4,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [7,5,8,3,6,9,1,2,4,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,4,9,3,5,10,1,2,6,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [7,4,8,3,5,9,1,2,6,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,6,10,2,7,8,1,3,4,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [9,5,10,2,6,7,1,3,4,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,6,9,2,7,10,1,3,4,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,5,9,2,6,10,1,3,4,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [7,5,8,2,6,9,1,3,4,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,4,9,2,5,10,1,3,6,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [7,4,8,2,5,9,1,3,6,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [8,1,2,4,3,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [8,1,3,5,6,2,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [8,1,3,4,2,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [8,1,3,2,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [2,7,8,3,4,5,6,1]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [2,6,3,8,4,5,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [6,3,2,1,4,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [7,3,1,4,2,6,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [7,4,1,5,6,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [4,7,8,5,6,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [3,7,8,4,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [3,7,8,2,4,5,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [3,6,2,8,4,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [2,3,6,7,4,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [3,5,2,4,8,6,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [4,6,5,8,7,1,2,3]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [6,2,4,1,3,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [2,6,5,8,7,3,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [6,2,5,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [6,5,2,1,8,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [2,5,6,7,8,3,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [2,4,6,7,3,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [4,2,6,7,3,1,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [5,6,3,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [4,3,6,7,2,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [3,4,6,7,2,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [3,4,5,2,7,8,1,6]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [3,4,2,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [5,2,7,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [5,1,2,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [4,7,1,8,6,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [4,7,1,2,8,6,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [4,6,8,1,2,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [6,8,7,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [7,8,1,6,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,3,6,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [4,7,2,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [1,7,3,4,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [4,2,7,1,8,6,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [8,5,7,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [8,5,7,1,2,6,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [6,8,2,7,1,3,5,4]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [6,2,4,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [1,6,8,3,7,4,5,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [1,6,8,3,4,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [6,2,4,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [6,8,7,2,3,5,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [8,5,7,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [8,5,7,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [8,7,6,2,1,4,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,5,7,2,3,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [5,8,4,2,7,1,6,3]=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010 [1,8,7,3,5,4,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [8,2,5,4,7,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [8,7,6,2,4,3,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [8,7,6,1,2,4,3,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [8,7,6,1,4,2,3,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [8,7,6,4,1,3,2,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [5,8,4,7,2,1,6,3]=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>0101010 [1,8,7,5,4,3,6,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [6,8,1,7,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [8,5,7,3,1,6,2,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [8,5,7,1,3,2,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [8,5,7,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [5,8,4,7,1,2,6,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [5,8,4,7,1,6,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [8,1,2,6,5,7,4,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [8,2,5,6,7,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [4,8,5,7,1,6,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [4,8,5,7,1,2,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [8,5,3,1,7,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [8,5,3,7,1,2,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [6,8,1,3,7,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [1,8,7,4,5,3,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [8,5,3,7,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [8,7,6,3,1,4,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,7,6,1,3,2,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [8,5,3,2,7,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010 [4,8,5,2,7,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [8,5,2,3,7,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [6,3,1,5,4,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [8,3,1,5,2,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [8,5,4,2,1,7,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,5,4,2,1,7,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>1101010 [6,5,4,2,1,3,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [6,3,2,5,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [6,5,4,3,1,2,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [8,5,4,1,2,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [8,7,4,1,6,5,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [8,5,4,3,1,7,6,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>1101010 [8,3,2,5,1,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [2,1,8,5,3,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [8,3,2,5,1,7,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [8,5,4,3,1,7,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,7,6,5,2,1,4,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [8,7,4,3,6,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [8,3,2,7,6,4,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [2,1,8,7,6,4,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [8,7,4,3,6,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [8,7,6,5,2,4,3,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110 [8,7,4,2,6,5,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [8,3,1,7,6,4,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [8,3,1,7,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>1111010 [8,3,1,5,4,7,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [8,3,1,7,6,5,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [8,7,4,2,6,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010 [8,7,4,2,6,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [8,3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>1101010 [8,7,4,3,6,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [8,7,6,5,3,1,4,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [8,7,6,5,1,3,2,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,7,6,5,1,3,4,2]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [8,7,6,5,1,4,3,2]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110 [8,7,6,5,4,1,3,2]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110 [8,7,4,3,6,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010 [8,3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>1101010 [2,1,8,7,6,3,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [8,3,2,7,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [8,7,6,5,1,4,2,3]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [8,7,6,5,1,2,4,3]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [7,3,5,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [7,3,4,1,8,5,6,2]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,5,6,2,1,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [1,6,5,2,7,4,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [7,4,3,1,8,6,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>0101010 [7,6,5,1,8,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [7,6,4,1,8,5,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010 [6,4,2,1,8,7,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>0101010 [1,6,4,2,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [1,5,3,2,7,6,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [5,3,2,1,8,7,6,4]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>0101010 [2,5,3,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [2,6,4,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [2,6,5,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [4,5,7,1,6,8,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [6,5,1,2,8,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [6,4,1,2,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [5,3,1,2,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [4,3,1,2,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [6,1,2,5,8,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [7,1,3,4,8,2,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [7,1,5,6,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [2,6,1,5,7,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [7,4,1,6,8,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [5,2,3,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [3,5,2,1,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [1,6,2,5,7,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000 [6,2,1,5,8,7,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [7,3,1,5,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [6,2,4,1,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [6,2,5,1,8,4,7,3]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [7,3,1,4,8,6,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [6,2,1,4,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [1,6,2,4,7,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000 [5,2,1,3,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [7,4,1,3,8,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [7,5,1,3,8,4,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [3,6,7,1,4,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [7,6,1,4,8,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [4,2,1,3,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [2,6,1,4,7,8,3,5]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [7,1,4,6,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [7,1,3,5,8,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [6,1,2,4,8,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [5,2,3,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,6,7,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [5,2,4,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,1,6,3,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [6,3,4,1,5,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,2,6,3,4,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [5,2,7,3,4,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [5,2,8,6,7,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [6,2,8,5,7,3,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [6,2,7,3,4,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [7,3,4,1,5,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,1,7,3,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,7,4,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,7,4,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,8,6,7,4,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [4,1,8,6,7,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [8,6,7,3,4,1,5,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [8,5,7,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [8,5,6,2,7,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [8,4,7,3,5,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [5,1,8,4,7,3,6,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [4,1,8,5,7,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [3,1,8,5,7,4,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [2,1,8,5,7,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [2,1,7,4,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,7,4,6,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [4,1,7,3,6,2,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [5,1,7,3,6,2,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [6,2,7,3,5,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [6,2,8,4,7,3,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [8,4,7,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [7,3,6,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [6,2,5,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,2,4,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [6,2,4,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,5,7,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,5,7,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [6,2,3,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,2,3,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,2,3,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [3,1,4,2,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [6,2,3,1,8,5,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [7,4,8,5,6,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [7,3,8,5,6,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [8,5,6,2,4,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [5,2,4,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,1,5,2,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,5,2,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [2,1,6,3,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,6,2,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,1,6,2,8,5,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [5,1,6,2,8,4,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [8,4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [7,3,8,4,6,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [6,2,7,3,8,4,5,1]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [8,4,5,1,6,2,7,3]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [5,1,8,4,6,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [4,1,8,5,6,2,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [3,1,8,5,6,2,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,8,5,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [2,1,7,4,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,1,7,4,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [4,1,7,3,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [7,3,8,4,5,1,6,2]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [8,4,5,1,7,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [7,3,6,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [7,8,5,6,1,3,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [7,8,1,3,6,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [1,3,8,4,7,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [4,6,1,2,5,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [1,4,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [7,8,2,4,5,6,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [7,8,1,5,4,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100 [7,8,2,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [7,8,1,4,2,3,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [7,8,5,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [7,8,4,5,3,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [2,6,4,8,3,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,4,6,8,3,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [2,4,8,5,3,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [2,5,8,1,4,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [1,6,2,4,7,3,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [7,5,3,6,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [5,7,3,6,1,4,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [5,3,6,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [6,3,1,2,4,5,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [1,4,7,2,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [4,6,7,8,3,5,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [3,6,1,8,4,2,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [3,5,6,7,8,1,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [2,5,7,6,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [2,7,1,8,5,3,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [4,3,8,5,6,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [3,4,2,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [4,3,7,8,1,2,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [1,7,3,8,5,2,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [5,7,8,6,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [5,7,8,6,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [7,6,5,8,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [1,6,4,3,8,2,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [7,1,3,4,8,2,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>0101000 [3,6,5,4,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [2,4,5,1,7,8,6,3]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [2,6,3,4,5,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [2,6,4,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [7,3,6,4,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [6,5,2,7,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [5,6,2,7,3,1,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [5,6,7,4,2,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [6,7,1,5,2,8,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [1,7,5,2,4,8,3,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [6,1,5,2,8,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [1,6,5,4,2,3,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [7,1,5,3,4,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [7,6,1,5,3,2,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [7,5,6,4,1,2,8,3]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [6,7,5,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [7,5,2,4,3,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [7,4,6,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [7,1,4,2,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [6,8,1,4,2,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [1,6,3,7,5,4,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [6,8,1,3,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [7,3,1,6,4,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [7,4,2,6,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [7,4,6,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [7,2,4,1,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [6,8,1,2,3,4,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [5,1,8,2,3,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [5,8,2,3,7,6,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [6,8,2,3,5,4,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [6,8,2,4,1,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [2,6,3,5,7,1,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000 [2,1,4,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [2,5,3,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [2,5,7,8,1,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [5,3,4,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [5,2,8,4,6,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [5,2,1,8,6,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [4,2,8,6,5,3,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [4,2,8,5,7,6,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [1,4,2,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [4,1,8,6,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [5,3,8,7,6,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>1101010 [5,8,4,7,6,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [6,4,8,3,1,7,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [6,4,2,8,7,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [6,3,8,7,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>0101010 [5,8,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010 [5,1,3,8,6,7,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [1,5,7,6,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [6,8,5,3,1,2,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [4,5,1,2,7,6,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [3,5,6,1,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [4,2,6,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [4,6,3,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [4,5,3,1,7,6,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [4,2,5,7,1,6,3,8]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [3,5,2,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [3,4,6,5,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [3,4,6,8,5,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [3,5,6,2,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [4,2,5,6,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [4,5,3,1,6,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [2,1,7,5,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [1,2,7,5,3,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [4,1,2,7,3,8,6,5]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [6,4,1,7,5,2,3,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [6,1,3,7,5,2,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [3,7,1,2,5,4,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [2,4,1,7,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [3,4,7,5,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [2,7,4,1,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [2,1,6,8,3,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [2,6,8,3,1,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [2,8,6,4,1,5,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [3,6,4,8,5,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [6,3,7,4,5,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [2,6,3,7,5,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [4,7,2,3,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [5,2,7,3,6,8,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [5,7,4,6,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,7,3,4,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [5,3,8,4,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [8,5,2,4,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [8,2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [4,2,8,3,6,7,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [8,4,1,3,6,2,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [4,8,3,1,7,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [5,2,8,4,7,1,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [5,8,4,7,3,1,6,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>0101010 [6,3,8,2,7,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>0101010 [5,7,4,1,6,2,3,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [8,5,4,1,2,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [5,1,8,4,2,7,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [1,6,2,8,5,3,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [6,8,5,3,1,7,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>0101010 [8,4,5,1,2,6,3,7]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [5,6,3,7,1,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [1,6,3,7,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [6,3,2,7,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [4,5,7,8,3,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>0101000 [8,1,3,4,6,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [3,8,2,4,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [3,5,6,8,2,7,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [2,4,5,6,8,1,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [4,8,3,5,6,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [5,6,2,3,7,8,1,4]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [5,8,7,3,4,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [6,8,7,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [6,8,4,7,1,5,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010 [6,8,4,7,2,5,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010 [5,4,8,7,2,6,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010 [5,4,8,7,1,6,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010 [3,8,4,7,5,1,2,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>1101000 [3,4,8,7,6,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [3,5,8,7,6,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [4,5,8,7,6,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [4,5,8,7,1,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [4,5,8,7,2,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [3,5,8,2,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [3,5,8,1,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [2,5,8,1,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [2,5,8,7,1,6,3,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [2,4,8,7,1,6,3,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [2,8,4,7,1,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [8,2,4,6,1,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>1101000 [8,1,4,6,2,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>1101000 [1,8,4,7,2,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [1,4,8,7,2,6,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000 [1,5,8,7,2,6,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000 [1,5,8,2,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [2,5,8,3,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [1,4,2,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [1,3,8,2,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [1,8,3,2,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [8,1,3,2,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [8,2,3,1,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [2,8,3,1,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [2,3,8,1,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [3,4,1,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [4,3,1,8,7,6,5,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [4,2,1,8,7,6,5,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [8,3,2,1,6,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [8,4,2,6,1,5,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [5,2,8,1,7,6,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>1101010 [5,3,8,1,7,6,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>1101010 [5,3,8,2,7,6,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>1101010 [6,8,3,2,7,5,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [6,8,3,1,7,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [6,8,2,1,7,5,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [6,8,2,7,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [8,5,6,1,2,4,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [6,8,1,2,7,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [6,8,2,3,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [5,2,8,3,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [5,1,8,3,7,6,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [4,8,1,7,2,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [8,4,1,6,2,5,3,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [8,3,1,2,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [3,1,2,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [4,1,3,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [3,1,4,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [8,2,1,3,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [1,4,3,6,8,2,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [3,1,6,2,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [3,5,1,8,2,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [1,4,5,2,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [1,4,2,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,5,4,2,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [1,6,4,2,5,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [1,5,2,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,2,6,5,4,8,3,7]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [1,2,5,4,7,3,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [4,1,2,6,3,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [7,2,5,1,8,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [1,4,5,2,8,7,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [1,4,2,8,3,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [1,2,5,3,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,2,8,6,5,3,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [1,5,2,8,6,3,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [1,6,4,2,8,7,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [6,2,1,8,7,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [7,6,2,1,8,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [7,3,1,6,2,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [1,7,6,4,2,8,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [1,7,5,2,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [1,6,2,7,5,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [1,2,7,6,5,3,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [1,2,6,5,3,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [1,5,2,6,3,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [1,5,2,7,6,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [1,6,5,2,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [4,1,2,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [3,1,8,6,2,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [4,3,7,1,8,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [8,3,1,6,2,4,7,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [7,1,8,3,2,4,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>0101000 [1,8,7,3,2,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [8,5,3,1,7,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [8,6,2,1,7,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [1,8,6,4,2,7,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [1,8,5,2,6,3,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [1,5,2,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [1,2,8,5,3,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,2,6,3,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,2,7,6,3,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,6,2,7,3,8,5,4]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [1,7,2,8,5,3,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [1,7,4,2,8,6,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [7,1,8,3,2,6,4,5]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [7,2,1,8,6,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [1,8,7,3,2,6,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [1,4,2,8,7,6,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [1,2,8,7,5,3,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [1,2,8,6,3,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,2,7,3,8,6,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [4,1,7,3,6,5,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [5,1,8,7,6,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [8,1,7,6,3,4,5,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [5,7,8,6,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [5,7,1,6,2,4,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [6,4,1,5,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [8,1,4,5,3,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [6,1,4,5,3,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [6,1,4,5,3,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [7,1,4,5,3,8,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [7,1,4,5,3,6,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [8,1,4,5,3,6,7,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [7,4,1,5,2,6,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [6,3,5,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [8,4,5,7,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [6,4,5,8,3,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [5,4,8,6,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>1010100 [5,8,1,6,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [8,4,1,5,2,6,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [6,3,5,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [2,3,4,1,8,6,5,7]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [2,8,6,7,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [2,3,8,5,6,1,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [7,4,5,6,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [8,4,5,6,3,1,7,2]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [2,7,6,5,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [2,7,6,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [2,7,6,5,8,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [8,7,5,6,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [2,6,1,3,8,5,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [2,7,1,3,6,5,8,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [7,3,5,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [8,4,1,5,2,3,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [7,8,1,6,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [2,3,8,6,4,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [8,3,5,7,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [2,3,4,1,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [2,3,8,1,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [2,3,8,1,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>10000000 [1,2,3,4,5,6,7,8,10,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [9,1,2,3,4,5,6,7,10,8]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>010000000 [1,8,2,3,4,5,6,9,7]=>[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>01000000 [7,1,2,3,4,5,6,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [2,1,9,3,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>01000000 [2,8,1,3,4,5,6,7,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>01000000 [2,10,1,3,4,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,4,1,2,5,6,7,8,9,10]=>010000000 [8,5,6,3,4,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [8,6,5,4,3,1,7,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [1,7,6,5,4,2,3,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [1,8,6,5,2,7,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [8,7,5,4,1,6,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>1111010 [7,8,5,4,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [6,8,5,4,2,1,7,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>1101010 [5,8,6,2,4,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [4,8,2,6,5,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [3,2,8,6,5,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>1010100 [3,2,1,7,6,4,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [4,1,3,7,6,2,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [6,1,7,5,3,2,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [1,2,7,6,3,4,5,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [1,2,8,3,7,4,5,6]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [8,1,7,2,6,3,5,4]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [6,1,8,2,4,7,3,5]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [5,1,8,3,2,7,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [4,1,3,8,2,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [3,2,1,8,4,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>0101000 [3,2,8,7,1,6,5,4]=>[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010 [4,8,2,7,1,6,5,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010 [5,8,7,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [8,7,6,1,5,4,3,2]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>1111110 [1,8,7,2,6,5,3,4]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>1111000 [1,7,8,2,5,6,3,4]=>[[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>0101000 [7,6,8,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [6,5,8,3,2,1,7,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>1101010 [7,5,8,3,1,4,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [8,5,7,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [1,5,4,8,2,7,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [8,4,3,7,1,6,5,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010 [7,4,3,8,1,5,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [6,4,3,1,5,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [7,4,3,1,2,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [8,4,3,1,2,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [1,5,4,2,3,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>1100000 [8,5,1,4,2,3,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [7,5,1,4,2,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [6,5,1,4,3,2,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [4,6,2,1,5,3,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [3,2,6,1,5,4,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [4,7,2,1,3,6,5,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [5,7,1,3,2,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [6,7,1,2,4,5,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [7,6,1,2,5,4,3,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [8,6,1,2,5,3,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [1,7,2,3,6,4,5,8]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [8,7,1,2,3,6,5,4]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [7,8,1,2,3,5,6,4]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [6,8,1,2,4,3,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [5,8,1,3,2,4,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [3,2,8,1,4,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [4,1,3,2,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [5,1,2,4,3,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [6,1,2,3,5,4,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [7,1,2,3,4,6,5,8]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [8,1,2,3,4,5,7,6]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [6,7,3,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [3,8,4,5,7,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [3,4,8,6,7,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [4,5,6,7,1,8,3,2]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [3,5,6,1,7,8,4,2]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [2,5,6,1,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [2,5,6,8,1,7,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [8,2,4,5,1,6,3,7]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [1,5,6,8,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [1,5,6,2,8,4,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [2,5,6,3,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [8,1,3,2,5,4,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [2,8,3,1,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [2,4,1,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [3,4,1,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [4,3,1,7,6,8,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [5,2,7,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [6,7,2,1,8,5,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [6,7,8,2,1,4,3,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [6,7,1,2,8,4,5,3]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [5,2,7,3,4,6,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [5,1,7,3,4,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [5,1,7,8,2,3,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [4,1,3,7,5,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,1,8,3,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [1,8,2,3,4,5,7,6]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [1,2,8,3,4,6,7,5]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [4,2,1,6,5,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>0100100 [5,2,6,1,4,8,7,3]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [5,2,6,4,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [5,2,7,4,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100 [5,6,2,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [5,1,6,4,2,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [5,6,3,1,2,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [5,6,3,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [5,7,3,2,8,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [6,7,3,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [5,7,3,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [1,5,7,4,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [5,1,7,4,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100 [5,7,3,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [6,7,3,8,5,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [6,7,8,3,1,4,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [6,7,1,8,3,5,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [6,1,7,8,4,5,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [1,6,7,8,4,5,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [1,6,7,8,4,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [6,1,7,8,4,2,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [6,7,1,8,3,2,5,4]=>[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100 [5,7,2,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [6,7,2,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [6,7,2,8,3,1,5,4]=>[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100 [6,7,2,8,3,5,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [6,2,7,8,4,5,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [6,2,7,8,4,1,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [6,2,7,8,1,4,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [4,2,1,7,8,5,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [4,1,2,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [6,2,7,8,1,5,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [6,2,7,8,5,1,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [6,2,7,8,5,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [6,7,2,8,5,3,1,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [5,7,2,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [5,7,1,2,8,6,3,4]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [5,1,7,2,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [1,5,7,3,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [1,6,7,8,3,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [6,1,7,8,2,5,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [6,7,1,8,2,5,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [6,7,8,2,4,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [6,7,8,2,4,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [6,7,1,8,5,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [1,6,7,8,5,3,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [6,7,1,8,5,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [6,7,8,4,1,3,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [6,3,8,5,2,7,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [6,3,4,5,8,7,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [5,6,1,4,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [3,6,4,8,5,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [5,1,4,8,6,3,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [3,4,7,1,8,6,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [6,3,8,4,2,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [3,6,8,7,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [5,3,7,1,6,8,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [4,3,8,5,6,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [3,6,4,2,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [6,3,7,5,2,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [6,5,2,7,4,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [7,8,3,5,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [5,8,1,4,6,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [6,5,8,4,3,7,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [6,3,7,4,2,8,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [8,7,1,6,2,4,5,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [3,8,6,7,1,4,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [4,3,8,7,1,5,6,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [8,3,6,1,2,5,7,4]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [5,6,1,8,7,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [5,4,2,7,3,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [8,2,6,3,4,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [7,2,6,3,5,4,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [3,7,6,4,5,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [6,5,4,3,1,8,2,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,6,5,4,2,7,3,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>1111010 [8,5,4,1,7,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [1,6,5,3,4,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [5,4,6,3,1,8,2,7]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [6,5,8,4,2,7,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [5,8,2,6,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100 [7,8,5,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [8,7,5,2,6,4,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [8,7,1,6,2,5,4,3]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [7,8,1,6,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [2,8,1,7,3,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [4,8,1,3,7,2,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [4,2,8,5,7,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [5,1,7,6,8,3,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [6,7,3,1,8,4,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [1,7,3,8,4,5,2,6]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [1,7,2,8,5,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [7,6,1,8,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [8,1,2,7,3,4,6,5]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [8,2,6,1,7,3,5,4]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [5,4,3,1,6,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [4,7,5,6,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [6,5,4,8,2,7,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010 [6,5,1,8,7,4,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100 [8,6,4,7,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>1111010 [3,6,8,2,4,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [4,7,2,8,6,3,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [2,3,8,7,4,5,6,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [7,2,8,6,4,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [8,1,7,6,5,2,4,3]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [1,2,8,7,6,3,4,5]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [1,3,8,7,4,6,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [3,8,7,6,4,5,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [2,8,7,6,5,3,4,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [1,8,7,6,5,4,2,3]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [5,8,6,7,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [4,8,6,7,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,8,6,7,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [2,8,6,7,4,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,8,6,7,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,8,5,7,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,8,5,7,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [4,8,5,7,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [7,8,3,6,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,3,7,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,8,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [3,7,4,8,5,6,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [4,7,3,8,5,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [4,7,2,8,5,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [4,7,1,8,5,6,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [3,7,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [3,7,2,8,5,6,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [2,7,3,8,5,6,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [2,7,4,8,5,6,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [5,8,2,7,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,2,7,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,2,6,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,1,6,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,1,7,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,8,1,7,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [1,7,4,8,5,6,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [1,7,3,8,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [2,8,5,6,1,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [1,8,5,6,2,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [1,7,3,8,4,6,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [4,8,1,7,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,8,1,7,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,1,7,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,2,6,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,2,7,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,8,2,7,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [4,8,2,7,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [2,7,3,8,4,6,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [3,7,2,8,4,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [3,7,1,8,4,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [1,8,4,7,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [2,8,4,7,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,8,4,7,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [4,8,5,7,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,8,5,7,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [2,8,5,7,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,8,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,8,6,7,3,5,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [2,8,6,7,3,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,8,6,7,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [4,8,6,7,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [5,8,6,7,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [6,8,5,7,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [5,8,6,7,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [4,8,6,7,1,5,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [3,8,6,7,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [1,5,2,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,5,1,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,6,1,8,5,7,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [1,6,2,8,5,7,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [3,8,5,7,1,6,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [6,8,4,7,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,8,4,6,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,8,3,6,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [6,8,3,7,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [4,8,3,7,1,6,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [3,8,4,7,1,6,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [1,6,2,8,4,7,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [2,6,1,8,4,7,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [3,7,2,6,1,8,4,5]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [3,7,1,6,2,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [4,8,1,6,2,7,3,5]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [5,8,1,6,2,7,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [7,8,1,5,2,6,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [7,8,2,5,1,6,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [6,8,2,5,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [5,8,2,6,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [4,8,2,6,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [1,7,3,6,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [2,7,3,6,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>00000000 [1,2,3,4,5,6,8,9,7]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [1,2,3,4,5,7,8,9,6]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [1,2,3,4,6,7,8,9,5]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [1,2,3,5,6,7,8,9,4]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [1,2,4,5,6,7,8,9,3]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [1,3,4,5,6,7,8,9,2]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>000000000 [1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>11000000 [1,2,3,4,5,6,7,9,10,8]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [1,2,3,4,5,8,7,9,6]=>[[1,2,3,4,5,6,8],[7],[9]]=>[9,7,1,2,3,4,5,6,8]=>11000000 [1,2,3,4,5,6,8,9,10,7]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [1,2,3,4,5,7,8,9,10,6]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [1,2,3,4,6,7,8,9,10,5]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [1,2,3,5,6,7,8,9,10,4]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [1,2,4,5,6,7,8,9,10,3]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [3,2,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>11000000 [1,3,4,5,6,7,8,9,10,2]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [6,7,4,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [6,7,4,5,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,7,4,6,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [5,7,4,6,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,7,4,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [6,8,4,5,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,8,4,6,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,6,4,8,3,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [5,6,3,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [5,6,3,7,2,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [5,6,3,8,2,7,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [5,6,4,8,2,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [5,8,4,6,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,4,5,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,4,5,2,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,4,5,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [5,8,4,6,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [5,6,4,8,2,3,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,6,3,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,6,3,4,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [4,6,3,5,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [4,6,3,5,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [4,6,3,8,2,5,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [4,8,3,6,2,5,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [5,8,3,6,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [6,8,3,5,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,8,3,5,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,8,3,5,2,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,8,3,6,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [4,8,3,6,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [4,6,3,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [4,6,3,7,2,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [4,7,3,6,2,5,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [4,7,3,6,2,8,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [4,7,3,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [5,7,4,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [5,7,3,6,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,7,3,6,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [6,7,3,5,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [6,7,3,5,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,7,4,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [6,7,5,8,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [6,8,5,7,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [6,7,4,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [6,7,3,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [6,7,3,4,2,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [5,7,3,4,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [5,7,3,4,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [5,7,4,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,8,4,7,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [6,8,4,7,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,8,4,6,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,8,3,6,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [6,8,3,7,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [5,8,3,7,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [4,8,3,7,2,5,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [4,7,3,8,2,5,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [4,7,3,5,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [4,7,3,5,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [4,5,3,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [4,5,3,7,2,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [4,5,3,8,2,7,1,6]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [4,8,3,5,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,8,3,4,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,3,4,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,3,4,2,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,8,3,4,2,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [5,8,3,4,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [4,8,3,5,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [4,5,3,8,2,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [4,5,3,6,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [4,7,5,2,1,8,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [4,8,5,2,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [4,6,5,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [5,6,4,2,3,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [6,4,5,3,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [4,6,8,1,7,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [4,7,8,1,6,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [7,4,8,1,6,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>1101010 [8,4,5,3,1,7,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [5,4,7,1,3,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [5,6,8,7,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [8,5,7,6,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [6,3,2,8,7,4,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100 [7,3,2,8,6,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [7,6,8,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [5,7,8,6,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [5,8,7,6,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [6,8,7,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [7,8,4,2,6,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [3,6,1,8,7,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [3,7,1,8,6,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [4,7,6,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [6,7,4,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [6,8,4,2,7,5,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>0101010 [2,1,8,6,7,5,3,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [8,3,2,6,7,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [8,6,4,3,7,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [6,7,5,8,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [7,6,5,8,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>1111010 [8,6,5,7,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>1111010 [7,6,4,3,8,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010 [7,3,2,6,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [2,1,7,6,8,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [7,5,6,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [6,5,7,8,1,2,4,3]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [8,1,3,7,4,6,5,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [5,2,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [1,6,2,5,4,7,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [8,1,3,5,4,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [6,1,8,3,4,5,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [7,1,5,3,4,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [7,1,4,3,5,6,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [8,1,3,4,5,6,7,2]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [1,7,2,4,5,6,3,8]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [8,5,2,1,4,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [6,5,2,8,4,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [5,6,2,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>0100100 [3,6,1,8,5,2,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [1,2,6,3,5,4,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [3,4,1,2,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [4,3,1,2,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [8,3,1,5,2,4,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [3,8,2,6,1,5,7,4]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [8,5,6,4,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [1,7,5,6,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>1101000 [7,2,1,3,8,6,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [5,2,7,3,1,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [8,7,2,6,3,4,1,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000 [3,1,8,6,4,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [8,1,6,7,4,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [3,5,8,7,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [4,2,1,3,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [2,4,1,3,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [8,6,1,3,7,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [2,8,1,3,6,4,7,5]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [5,1,8,3,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1]=>11111111 [8,9,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>11111110 [8,7,9,6,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3]=>11111110 [8,7,6,5,4,3,2,9,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8]=>11111110 [8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9]=>11111110 [9,10,8,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>111111110 [7,8,9,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>11111100 [9,8,10,7,6,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,2,1,3]=>111111110 [8,6,7,9,5,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,1,3,4]=>11111100 [9,8,7,10,6,5,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,2,1,4]=>111111110 [9,8,7,6,10,5,4,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,3,2,1,5]=>111111110 [9,8,7,6,5,10,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[10,9,8,7,5,4,3,2,1,6]=>111111110 [9,8,7,6,5,4,10,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[10,9,8,6,5,4,3,2,1,7]=>111111110 [8,7,6,5,4,2,3,9,1]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,1,7,8]=>11111100 [9,8,7,6,5,4,3,10,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[10,9,7,6,5,4,3,2,1,8]=>111111110 [8,7,6,5,4,3,1,2,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>11111100 [9,8,7,6,5,4,3,2,10,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,2,1,9]=>111111110 [9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>111111110 [1,6,2,4,8,5,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,6,2,4,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,7,3,2,8,6,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [7,2,3,1,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [8,2,5,1,7,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [6,2,8,3,5,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [6,2,4,8,5,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [6,2,4,7,5,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [6,2,1,3,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [7,8,2,1,4,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [5,7,2,3,1,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [8,2,5,4,6,7,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [5,2,6,3,1,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [8,2,6,4,3,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [1,2,8,4,3,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [1,7,4,2,3,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>1100000 [1,8,7,4,3,2,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [1,6,3,8,2,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>0101000 [5,1,8,3,2,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [5,7,3,1,2,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [1,7,5,4,2,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [1,5,8,2,4,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000 [1,4,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [5,3,6,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [1,6,3,2,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [1,7,4,5,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [6,3,4,1,2,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [6,3,1,4,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [1,8,3,2,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>1100000 [4,5,2,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [4,2,5,6,7,8,1,3]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [5,2,3,6,7,1,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [6,2,3,4,1,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [7,2,3,1,4,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [8,6,1,4,3,2,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [8,3,1,6,5,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [4,1,5,2,8,7,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [8,3,1,6,2,5,4,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [8,1,2,6,5,4,3,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [1,7,5,4,2,8,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [5,1,4,8,2,7,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [1,4,6,8,2,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [1,7,4,5,2,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [3,7,5,1,2,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [5,7,2,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [1,4,6,2,8,7,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [1,4,2,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [3,1,2,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,1,7,6,3,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [1,4,7,2,6,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [1,2,3,6,8,5,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [1,4,2,7,6,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [3,1,2,7,6,4,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [5,3,7,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [1,7,4,3,2,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [4,8,7,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [1,8,7,3,4,2,5,6]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [5,2,8,1,3,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [2,1,8,6,3,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [1,2,3,7,8,5,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [1,2,3,7,5,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,4,2,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [3,1,7,2,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [2,1,7,8,3,4,6,5]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [1,2,3,8,7,5,6,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [10,1,2,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [10,1,2,3,4,5,6,9,7,8]=>[[1,3,4,5,6,7,8,10],[2],[9]]=>[9,2,1,3,4,5,6,7,8,10]=>110000000 [9,1,10,2,3,4,5,6,7,8]=>[[1,3,5,6,7,8,9,10],[2,4]]=>[2,4,1,3,5,6,7,8,9,10]=>010000000 [10,9,1,2,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>110000000 [8,1,2,3,4,5,6,9,10,7]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>010000000 [2,9,10,1,3,4,5,6,7,8]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,5,6,1,2,3,7,8,9,10]=>001000000 [5,7,8,4,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [6,7,8,4,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [8,6,3,7,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [7,6,3,8,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [3,7,8,4,2,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000 [4,7,8,3,2,1,5,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [5,7,8,3,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [7,6,3,8,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [8,6,3,7,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [3,6,4,8,2,5,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [2,6,4,8,3,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [2,6,4,7,3,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [3,6,4,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [4,6,3,7,2,1,5,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>1101000 [5,6,3,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>1101000 [8,4,3,2,1,6,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [6,4,3,2,1,7,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [4,5,3,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [3,5,4,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [6,4,3,2,1,8,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [7,4,3,2,1,8,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,4,3,2,1,7,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,4,3,2,1,7,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>1101010 [7,4,3,2,1,8,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>1101010 [6,4,3,2,1,8,7,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>1101010 [7,5,3,2,8,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010 [8,5,4,2,7,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [7,5,4,2,8,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [6,5,4,2,8,7,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [4,6,5,8,7,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [2,6,5,7,8,3,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [5,6,3,7,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [4,6,3,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [3,6,4,7,2,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [2,6,4,7,3,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [3,5,4,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [4,5,3,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [7,4,3,2,1,6,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [8,4,3,2,1,6,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [8,4,3,2,1,5,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [7,4,3,2,1,5,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [6,4,3,2,1,5,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [3,5,4,2,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [8,5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010 [8,5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [6,8,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>1101010 [3,2,6,4,8,5,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [3,5,2,4,1,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [4,2,5,8,3,1,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [3,1,5,4,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [4,1,5,8,3,2,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [4,3,8,5,2,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [4,3,2,7,5,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [4,3,6,2,5,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [4,3,6,1,5,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [4,6,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [4,3,6,1,7,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [6,2,4,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [3,6,4,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [5,6,2,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [4,5,2,7,3,1,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [3,2,6,1,4,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [3,5,2,7,4,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [3,7,2,4,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [7,3,1,4,6,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [6,3,2,1,5,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [6,4,2,1,5,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [4,2,6,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [4,2,1,7,5,3,6,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [7,3,1,5,2,6,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [6,3,5,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [3,6,5,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [6,5,2,1,4,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [6,5,3,1,4,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [2,3,1,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [2,4,1,5,3,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [3,4,5,1,8,2,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [3,4,5,8,2,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>0101000 [3,4,6,2,1,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [3,4,6,2,1,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [3,5,6,2,7,1,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [3,5,6,2,7,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [3,5,6,2,7,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [1,8,4,6,3,7,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [3,4,6,8,2,7,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [3,4,6,2,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [3,5,6,2,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [3,5,6,2,7,4,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [4,5,6,7,2,8,3,1]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [3,5,6,8,7,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [3,5,6,8,7,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [4,5,6,7,2,1,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [2,3,1,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,8,3,2,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [2,5,1,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [2,5,1,6,7,4,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [2,5,1,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [3,5,6,1,7,4,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [3,4,6,8,1,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [2,4,8,6,1,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [3,5,6,8,7,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [4,5,6,7,8,1,3,2]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [4,5,6,7,1,3,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [4,5,6,7,1,3,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000 [4,5,6,7,3,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [3,5,6,8,7,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [1,8,5,6,7,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [2,5,8,6,7,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [8,2,5,3,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [8,2,4,3,7,1,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [5,8,2,4,3,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [4,2,5,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [3,8,2,4,7,1,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [3,6,8,2,4,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [4,3,5,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [3,7,1,5,6,8,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [8,3,2,4,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [7,3,2,4,6,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [3,2,5,1,7,4,6,8]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [3,2,5,1,8,4,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [7,8,3,2,4,6,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [6,1,5,7,8,3,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [4,2,5,6,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [6,1,5,8,7,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [3,2,5,1,6,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [3,2,5,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [6,5,1,7,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [3,2,5,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [3,2,4,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [3,2,4,1,7,5,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [3,2,4,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [8,3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [6,5,1,7,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [6,5,1,8,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [8,4,2,3,7,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [8,4,6,1,7,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [7,4,2,3,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [8,5,1,6,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [7,5,1,6,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [7,3,2,4,8,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [8,6,1,5,7,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [8,5,6,1,7,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [8,5,1,6,7,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [3,2,5,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [3,2,5,1,7,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [3,8,5,1,7,6,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [3,7,5,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [3,2,5,1,8,7,6,4]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [6,5,7,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [4,6,3,7,1,8,5,2]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [4,6,3,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [2,5,7,4,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [5,4,7,3,6,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [4,3,7,5,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [5,8,4,3,6,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [5,4,8,3,6,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [5,4,3,6,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [2,5,4,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [2,5,4,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [5,2,8,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>0101000 [4,6,2,1,8,5,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [2,4,1,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [2,4,1,7,5,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [2,6,4,1,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [5,4,8,2,1,6,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [4,8,3,2,6,1,5,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [3,5,2,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [3,2,1,6,8,5,4,7]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [3,2,7,1,5,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [3,8,2,5,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [4,8,3,2,6,7,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [4,3,2,6,7,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [4,3,2,6,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [4,3,7,8,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [3,2,5,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>0101000 [3,2,5,7,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [6,3,2,7,1,5,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [6,3,2,7,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [6,3,2,7,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [4,2,6,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [6,5,2,1,7,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [2,1,7,5,3,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [6,2,1,8,5,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [6,3,2,7,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [6,3,2,1,4,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [6,3,2,1,4,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [3,5,2,1,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [4,6,2,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [2,4,1,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [3,2,7,1,4,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [3,5,8,2,1,7,4,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [4,3,7,2,8,1,5,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [4,8,3,2,7,1,5,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [6,3,2,8,1,4,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [3,2,1,4,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [5,3,2,1,8,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [4,8,3,2,1,5,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>11111110 [1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>111111110 [6,2,3,1,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,6,7,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,2,5,3,4,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [6,2,5,3,4,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [6,1,5,2,4,3,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [6,1,5,3,4,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,3,7,5,6,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,3,7,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [8,1,5,3,4,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [2,1,8,4,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [8,6,7,4,5,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,6,7,1,5,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,6,7,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,3,7,5,6,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,5,7,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,3,7,4,6,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,3,7,4,6,1,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,3,7,1,6,4,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,1,7,3,6,4,5,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,1,7,5,6,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,4,7,5,6,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [2,1,8,4,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [8,1,7,3,4,2,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,1,7,3,6,2,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,3,7,1,6,2,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,3,7,2,6,4,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,2,7,3,6,4,5,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,2,7,3,6,1,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,2,7,1,6,3,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,1,7,2,4,3,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,1,3,2,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [2,1,8,3,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [8,1,5,2,4,3,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,2,7,3,4,1,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,2,7,5,6,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,4,7,5,6,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,4,7,2,3,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [8,2,3,1,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,2,3,1,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,2,3,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,1,3,2,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [8,6,7,2,3,1,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [8,2,3,1,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,5,7,2,6,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,5,7,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,2,7,5,6,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,6,7,2,5,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,6,7,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,6,7,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [2,1,8,6,7,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [2,1,8,3,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [8,1,3,2,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,1,7,5,6,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,1,7,2,6,4,5,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [8,2,7,1,6,4,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,2,7,4,6,1,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,2,7,4,6,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,4,7,2,6,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,4,7,1,6,2,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,1,7,4,6,2,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,5,7,1,6,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [2,1,8,5,7,3,6,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [8,5,7,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [8,5,7,1,6,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,1,7,4,6,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [8,4,7,1,6,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [8,4,7,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [2,4,8,3,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000 [6,5,8,1,3,2,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [4,5,8,6,3,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [1,5,8,7,3,6,2,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [1,7,2,8,4,6,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [6,7,2,8,4,1,5,3]=>[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100 [3,6,2,8,4,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [2,6,1,8,4,5,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [2,8,4,6,1,5,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [3,1,6,8,4,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [2,3,6,8,4,5,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [6,3,7,8,4,1,5,2]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [1,3,7,8,4,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [1,5,7,8,2,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [5,1,7,8,2,4,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [3,6,7,8,4,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [5,6,8,7,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [5,2,8,7,3,6,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [7,2,1,8,4,6,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [3,2,7,8,4,6,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [5,2,7,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [1,2,7,8,5,4,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [4,2,1,3,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [7,3,5,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [4,3,1,2,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [5,7,1,8,3,4,6,2]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [3,7,5,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [1,7,5,8,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [1,6,8,5,4,3,2,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [4,6,8,5,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [5,6,8,1,4,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [7,5,8,6,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010 [2,4,8,3,6,5,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [5,6,8,4,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [4,6,8,1,5,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [1,6,8,4,5,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [3,7,1,8,5,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [2,7,3,8,4,6,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [7,1,3,8,4,6,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [5,7,8,4,3,6,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [2,8,5,4,3,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [6,5,8,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [4,1,3,2,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [7,3,2,8,5,4,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [2,8,4,3,5,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [2,8,3,4,5,1,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [7,2,3,8,5,4,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [4,2,3,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [3,2,1,4,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [1,2,8,4,5,3,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [1,4,2,8,5,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [8,1,5,3,2,4,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [3,8,1,5,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [1,5,2,8,4,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [1,2,8,5,4,3,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [1,2,5,4,3,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [1,2,4,8,5,3,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [1,2,7,4,8,5,3,6]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [8,3,5,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [2,8,1,5,4,7,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [1,2,4,8,7,5,3,6]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [6,4,1,2,8,7,3,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [7,6,1,4,2,8,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [7,1,6,2,8,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [1,6,7,2,8,4,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [6,7,1,4,2,8,3,5]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [6,3,7,1,4,8,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [1,7,2,8,4,5,3,6]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [6,4,1,2,8,3,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [7,6,1,3,2,4,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [1,2,7,3,5,8,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [1,2,7,5,8,3,4,6]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [5,8,1,3,7,2,4,6]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [1,2,5,8,7,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>1010000 [1,2,5,8,3,7,4,6]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000 [2,8,1,7,3,5,4,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [8,6,1,3,2,4,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [8,3,7,1,5,2,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [3,8,6,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>1100100 [8,6,1,4,2,7,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [8,1,6,2,7,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [7,4,1,2,8,6,3,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [3,4,8,7,1,6,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [2,8,1,7,6,4,3,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [7,8,3,4,1,5,2,6]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [7,8,3,4,1,6,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [6,8,3,4,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [6,7,3,4,1,8,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [5,7,3,4,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [5,8,3,4,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [5,8,3,4,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [6,8,3,4,1,5,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [6,7,3,4,1,5,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [5,7,3,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [5,6,2,8,3,4,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [5,6,2,7,3,4,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [4,6,2,8,3,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [4,7,3,5,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [4,8,3,5,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [4,8,3,5,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [4,7,3,5,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [5,6,2,3,1,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [5,6,2,4,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [5,6,2,4,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [4,6,2,5,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [4,6,2,5,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [4,5,1,8,3,7,2,6]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [4,5,1,7,3,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [4,6,2,7,3,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [5,6,2,7,3,8,1,4]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [5,6,2,7,4,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [5,6,3,8,4,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [5,6,2,8,4,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [5,6,2,8,3,7,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [4,6,2,8,3,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [4,5,1,7,3,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [4,5,1,8,3,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [9,2,1,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>11000000 [10,2,1,3,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>110000000 [4,2,3,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>11000000 [3,2,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[10,2,1,3,4,5,6,7,8,9]=>110000000 [6,5,3,2,1,4,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [8,7,3,5,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [6,8,2,4,5,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [8,7,2,4,5,3,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [3,6,1,4,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [8,3,7,4,5,2,1,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [6,3,8,4,5,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [8,1,7,4,3,6,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [8,7,3,5,1,4,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [2,1,6,8,5,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [5,1,8,4,7,6,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [2,5,8,4,7,6,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [4,3,8,1,5,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [4,8,1,3,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [5,8,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [5,8,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [3,8,7,4,1,6,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [3,8,1,2,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [8,7,1,4,2,6,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [8,6,3,1,2,4,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [8,1,7,4,5,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [2,8,7,4,5,1,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [8,7,2,4,1,6,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [5,8,3,6,2,4,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [8,6,3,2,1,4,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [8,7,3,5,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [5,8,3,6,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [2,6,8,4,5,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>0101000 [6,1,8,4,5,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [6,8,3,5,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [2,1,5,8,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [4,1,8,2,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [2,4,8,1,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [3,4,8,2,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [5,8,3,1,6,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [4,5,3,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [3,4,1,8,5,6,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [2,4,6,8,10,1,3,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,4,6,9,10,1,3,5,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,4,7,8,10,1,3,5,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,4,7,9,10,1,3,5,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,4,8,9,10,1,3,5,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,5,6,8,10,1,3,4,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,5,6,9,10,1,3,4,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,5,7,8,10,1,3,4,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,5,7,9,10,1,3,4,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,5,8,9,10,1,3,4,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,6,7,8,10,1,3,4,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,6,7,9,10,1,3,4,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,6,8,9,10,1,3,4,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,7,8,9,10,1,3,4,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,4,6,8,10,1,2,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,4,6,9,10,1,2,5,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,4,7,8,10,1,2,5,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,4,7,9,10,1,2,5,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,4,8,9,10,1,2,5,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,5,6,8,10,1,2,4,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,5,6,9,10,1,2,4,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,5,7,8,10,1,2,4,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,5,7,9,10,1,2,4,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,5,8,9,10,1,2,4,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,6,7,8,10,1,2,4,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,6,7,9,10,1,2,4,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,6,8,9,10,1,2,4,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [3,7,8,9,10,1,2,4,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,5,6,8,10,1,2,3,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,5,6,9,10,1,2,3,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,5,7,8,10,1,2,3,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,5,7,9,10,1,2,3,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,5,8,9,10,1,2,3,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,6,7,8,10,1,2,3,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,6,7,9,10,1,2,3,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,6,8,9,10,1,2,3,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [4,7,8,9,10,1,2,3,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [5,6,7,8,10,1,2,3,4,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [5,6,7,9,10,1,2,3,4,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [5,6,8,9,10,1,2,3,4,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [5,7,8,9,10,1,2,3,4,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [2,4,6,8,10,12,1,3,5,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,6,8,11,12,1,3,5,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,6,9,10,12,1,3,5,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,6,9,11,12,1,3,5,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,6,10,11,12,1,3,5,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,7,8,10,12,1,3,5,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,7,8,11,12,1,3,5,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,7,9,10,12,1,3,5,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,7,9,11,12,1,3,5,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,7,10,11,12,1,3,5,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,8,9,10,12,1,3,5,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,8,9,11,12,1,3,5,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,8,10,11,12,1,3,5,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,4,9,10,11,12,1,3,5,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,6,8,10,12,1,3,4,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,6,8,11,12,1,3,4,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,6,9,10,12,1,3,4,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,6,9,11,12,1,3,4,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,6,10,11,12,1,3,4,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,7,8,10,12,1,3,4,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,7,8,11,12,1,3,4,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,7,9,10,12,1,3,4,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,7,9,11,12,1,3,4,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,7,10,11,12,1,3,4,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,8,9,10,12,1,3,4,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,8,9,11,12,1,3,4,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,8,10,11,12,1,3,4,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,5,9,10,11,12,1,3,4,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,7,8,10,12,1,3,4,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,7,8,11,12,1,3,4,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,7,9,10,12,1,3,4,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,7,9,11,12,1,3,4,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,7,10,11,12,1,3,4,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,8,9,10,12,1,3,4,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,8,9,11,12,1,3,4,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,8,10,11,12,1,3,4,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,6,9,10,11,12,1,3,4,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,7,8,9,10,12,1,3,4,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,7,8,9,11,12,1,3,4,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,7,8,10,11,12,1,3,4,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,7,9,10,11,12,1,3,4,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [2,8,9,10,11,12,1,3,4,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,6,8,10,12,1,2,5,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,6,8,11,12,1,2,5,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,6,9,10,12,1,2,5,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,6,9,11,12,1,2,5,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,6,10,11,12,1,2,5,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,7,8,10,12,1,2,5,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,7,8,11,12,1,2,5,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,7,9,10,12,1,2,5,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,7,9,11,12,1,2,5,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,7,10,11,12,1,2,5,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,8,9,10,12,1,2,5,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,8,9,11,12,1,2,5,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,8,10,11,12,1,2,5,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,4,9,10,11,12,1,2,5,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,6,8,10,12,1,2,4,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,6,8,11,12,1,2,4,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,6,9,10,12,1,2,4,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,6,9,11,12,1,2,4,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,6,10,11,12,1,2,4,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,7,8,10,12,1,2,4,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,7,8,11,12,1,2,4,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,7,9,10,12,1,2,4,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,7,9,11,12,1,2,4,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,7,10,11,12,1,2,4,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,8,9,10,12,1,2,4,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,8,9,11,12,1,2,4,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,8,10,11,12,1,2,4,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,9,10,11,12,1,2,4,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,7,8,10,12,1,2,4,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,7,8,11,12,1,2,4,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,7,9,10,12,1,2,4,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,7,9,11,12,1,2,4,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,7,10,11,12,1,2,4,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,8,9,10,12,1,2,4,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,8,9,11,12,1,2,4,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,8,10,11,12,1,2,4,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,6,9,10,11,12,1,2,4,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,7,8,9,10,12,1,2,4,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,7,8,9,11,12,1,2,4,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,7,8,10,11,12,1,2,4,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,7,9,10,11,12,1,2,4,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,8,9,10,11,12,1,2,4,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,6,8,10,12,1,2,3,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,6,8,11,12,1,2,3,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,6,9,10,12,1,2,3,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,6,9,11,12,1,2,3,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,6,10,11,12,1,2,3,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,7,8,10,12,1,2,3,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,7,8,11,12,1,2,3,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,7,9,10,12,1,2,3,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,7,9,11,12,1,2,3,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,7,10,11,12,1,2,3,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,8,9,10,12,1,2,3,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,8,9,11,12,1,2,3,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,8,10,11,12,1,2,3,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,5,9,10,11,12,1,2,3,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,7,8,10,12,1,2,3,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,7,8,11,12,1,2,3,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,7,9,10,12,1,2,3,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,7,9,11,12,1,2,3,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,7,10,11,12,1,2,3,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,8,9,10,12,1,2,3,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,8,9,11,12,1,2,3,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,8,10,11,12,1,2,3,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,6,9,10,11,12,1,2,3,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,7,8,9,10,12,1,2,3,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,7,8,9,11,12,1,2,3,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,7,8,10,11,12,1,2,3,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,7,9,10,11,12,1,2,3,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [4,8,9,10,11,12,1,2,3,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,7,8,10,12,1,2,3,4,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,7,8,11,12,1,2,3,4,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,7,9,10,12,1,2,3,4,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,7,9,11,12,1,2,3,4,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,7,10,11,12,1,2,3,4,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,8,9,10,12,1,2,3,4,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,8,9,11,12,1,2,3,4,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,8,10,11,12,1,2,3,4,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,6,9,10,11,12,1,2,3,4,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,7,8,9,10,12,1,2,3,4,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,7,8,9,11,12,1,2,3,4,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,7,8,10,11,12,1,2,3,4,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,7,9,10,11,12,1,2,3,4,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [5,8,9,10,11,12,1,2,3,4,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [6,7,8,9,10,12,1,2,3,4,5,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [6,7,8,9,11,12,1,2,3,4,5,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [6,7,8,10,11,12,1,2,3,4,5,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [6,7,9,10,11,12,1,2,3,4,5,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [6,8,9,10,11,12,1,2,3,4,5,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [7,8,9,10,11,12,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [3,5,7,2,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [2,5,7,3,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [1,5,7,3,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [8,4,3,7,6,1,5,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>1101010 [6,7,2,3,5,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [5,2,7,3,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [8,2,4,7,1,6,5,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [3,1,4,7,6,8,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [4,1,3,7,6,8,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [5,1,7,3,6,8,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [6,7,1,3,5,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [4,8,3,7,6,1,5,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>1101010 [8,1,4,7,2,6,5,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [8,1,3,2,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [2,8,3,1,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [3,8,2,1,7,6,5,4]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [6,7,1,2,8,5,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [8,2,3,1,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [8,3,2,1,7,6,5,4]=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010 [3,4,1,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [1,4,2,7,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [8,4,2,7,1,6,5,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010 [8,5,7,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [1,5,7,2,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [2,5,7,1,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [3,5,7,1,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [6,7,4,5,8,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [5,4,7,6,8,1,3,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [2,5,7,8,1,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [1,5,7,8,2,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [1,4,8,7,2,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [4,3,8,7,6,1,5,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>1101010 [5,3,7,8,6,1,4,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [5,2,7,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [4,2,8,7,1,6,5,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010 [3,2,8,1,7,6,5,4]=>[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>1101010 [1,3,8,2,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [8,3,1,2,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [8,2,1,3,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [1,2,8,3,7,6,5,4]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [2,1,8,3,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [5,1,7,8,2,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [6,7,1,8,2,5,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [4,8,1,7,2,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100 [3,8,1,2,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [2,8,1,3,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [1,8,2,3,7,6,5,4]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [8,1,2,3,7,6,5,4]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [3,1,4,5,6,7,8,9,10,2]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>010000000 [6,7,1,8,4,5,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [2,6,5,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [3,6,5,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [4,6,5,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [5,6,4,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [8,1,4,5,7,6,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [4,5,6,1,8,7,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [3,5,6,1,8,2,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [2,5,6,1,8,3,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [4,3,6,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [7,3,1,5,8,2,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [7,2,1,5,8,3,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [4,2,6,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [4,2,5,3,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [6,2,4,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [7,2,1,4,3,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>0100100 [8,1,2,4,3,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [8,1,3,4,2,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [7,3,1,4,2,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>0100100 [6,3,4,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [4,6,3,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [3,6,4,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [2,6,4,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [2,6,3,1,4,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [3,6,2,1,4,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [5,6,2,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [6,5,2,1,8,3,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [8,1,5,2,7,3,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,1,4,2,3,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [7,4,1,2,3,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [6,4,2,1,3,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [5,4,2,3,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [6,3,2,1,4,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [7,3,1,2,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [8,1,3,2,4,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [8,1,2,3,4,7,6,5]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [7,2,1,3,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [6,2,3,1,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [2,4,3,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,4,6,3,5,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [2,4,6,1,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [4,2,6,5,3,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [4,2,6,5,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [4,2,6,5,8,3,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [2,4,6,1,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [2,4,1,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,4,1,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [4,2,6,5,8,3,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [2,6,4,3,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [2,4,6,8,1,5,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [2,4,6,1,8,5,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [2,1,4,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [2,4,6,1,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [2,4,6,8,1,5,3,7]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [2,4,6,8,3,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [2,4,6,8,3,5,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [2,4,6,8,3,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [2,4,6,3,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [2,4,6,3,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [2,4,6,3,8,5,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [2,4,3,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [2,4,3,1,6,8,5,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [2,4,3,6,1,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [2,4,3,6,8,1,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [2,1,4,6,8,3,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [2,4,6,1,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [2,4,6,8,1,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [2,4,6,8,3,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>0101000 [4,6,2,8,5,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [6,4,2,8,7,5,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [2,6,4,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [2,6,1,4,8,7,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [2,1,6,4,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [6,4,2,8,7,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010 [1,6,4,7,3,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,3,7,4,5,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [1,7,6,3,4,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [8,1,6,3,7,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [7,1,6,3,8,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [1,2,7,4,8,3,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [6,1,7,3,4,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [2,1,7,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [2,8,6,3,7,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [6,8,1,3,7,2,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [5,8,2,1,7,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [5,1,2,4,8,3,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [4,3,6,1,5,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [2,6,1,4,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [6,5,1,3,4,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [1,6,2,4,8,3,5,7]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000 [8,5,1,3,7,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [6,4,2,1,5,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [2,5,3,4,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [2,6,4,8,7,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [4,3,2,8,7,1,5,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [5,1,4,8,7,2,3,6]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [3,7,2,1,5,4,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [3,8,2,1,5,4,7,6]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [8,3,2,1,5,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [8,3,2,1,6,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [8,4,2,5,1,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [8,3,2,1,5,6,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [8,3,2,1,4,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [3,7,2,1,4,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [3,2,7,1,4,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [3,2,8,1,4,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [3,8,2,1,4,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [3,8,2,1,5,7,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>0100100 [4,8,2,5,1,7,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [4,7,2,5,1,8,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [3,7,2,1,5,8,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>0100100 [3,7,2,1,4,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [3,2,1,7,5,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>0100100 [3,2,7,1,6,8,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [4,2,7,6,1,8,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [4,2,8,6,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [3,2,8,1,6,7,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [3,2,1,8,7,5,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [3,8,2,1,7,4,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [4,2,7,6,1,3,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>0100100 [4,2,8,6,1,3,7,5]=>[[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>0100100 [4,2,8,7,1,3,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [5,7,8,3,4,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [4,2,7,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [4,2,6,8,1,3,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [4,2,6,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [3,7,2,1,8,5,4,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [4,7,3,8,5,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [3,2,1,6,8,5,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [4,2,6,8,1,7,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [3,4,6,8,7,5,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [5,3,6,4,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100 [1,4,6,2,7,8,5,3]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [3,1,8,5,4,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [1,2,7,5,4,8,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [6,3,7,5,4,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [7,3,8,5,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [4,5,6,3,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [3,6,8,5,4,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [6,8,3,5,4,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,6,3,5,4,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [1,6,2,5,4,8,7,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [7,1,2,5,8,3,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>0101000 [1,8,2,5,7,3,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [6,2,1,5,4,8,7,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [4,1,6,2,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [7,8,1,2,4,6,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [7,8,3,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [2,3,8,5,4,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [7,5,1,6,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [5,8,1,6,4,3,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [6,1,5,7,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [1,5,8,6,4,3,2,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [3,4,6,1,5,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [2,6,1,5,7,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [1,6,8,7,4,3,2,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [6,8,1,7,4,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [5,6,1,7,4,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [1,8,7,6,4,3,2,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [2,1,7,5,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [7,8,1,6,5,3,2,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [2,8,1,5,4,6,7,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [7,2,1,5,4,6,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [1,2,8,5,6,3,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [6,1,2,5,7,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [4,2,1,5,6,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [5,1,6,3,7,8,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [1,3,6,8,5,7,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [2,4,6,3,7,1,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [1,3,6,4,8,7,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [5,4,6,1,3,7,2,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [6,4,1,5,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [4,1,7,5,2,3,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [1,2,4,5,8,3,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [7,2,3,5,4,1,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [2,8,3,5,4,1,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [7,8,2,3,4,1,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [3,1,6,4,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [7,1,5,8,4,3,2,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [6,5,1,8,4,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [1,5,7,8,4,3,2,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [7,8,4,6,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,6,5,1,4,3,2,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>10000000 [1,2,3,4,5,8,6,9,7]=>[[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>01000000 [1,4,2,5,6,7,8,9,3]=>[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>01000000 [9,8,1,2,3,4,5,6,7]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>11000000 [7,8,9,1,2,3,4,5,6]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5,6,1,2,3,7,8,9]=>00100000 [9,8,7,1,2,3,4,5,6]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>11100000 [6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9]=>00010000 [9,6,7,8,1,2,3,4,5]=>[[1,3,4,8,9],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9]=>10010000 [8,9,6,7,1,2,3,4,5]=>[[1,2,7,8,9],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9]=>01010000 [9,8,6,7,1,2,3,4,5]=>[[1,4,7,8,9],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9]=>11010000 [9,8,7,6,1,2,3,4,5]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>11110000 [9,5,6,7,8,1,2,3,4]=>[[1,3,4,5],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5]=>10001000 [8,9,5,6,7,1,2,3,4]=>[[1,2,5,9],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9]=>01001000 [9,8,5,6,7,1,2,3,4]=>[[1,4,5,9],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9]=>11001000 [9,7,8,5,6,1,2,3,4]=>[[1,3,8,9],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9]=>10101000 [9,8,7,5,6,1,2,3,4]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9]=>11101000 [9,8,7,6,5,1,2,3,4]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9]=>11111000 [7,8,9,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3]=>00100100 [9,7,8,4,5,6,1,2,3]=>[[1,3,6],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6]=>10100100 [9,8,7,4,5,6,1,2,3]=>[[1,5,6],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6]=>11100100 [8,9,6,7,4,5,1,2,3]=>[[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>01010100 [9,8,6,7,4,5,1,2,3]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9]=>11010100 [9,8,7,6,4,5,1,2,3]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9]=>11110100 [9,8,7,6,5,4,1,2,3]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>11111100 [9,7,8,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3]=>10101010 [9,8,7,5,6,3,4,1,2]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5]=>11101010 [9,8,7,6,5,3,4,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7]=>11111010 [9,8,7,6,5,4,3,1,2]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9]=>11111110 [9,10,1,2,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,4,1,2,5,6,7,8,9,10]=>010000000 [8,9,10,1,2,3,4,5,6,7]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,5,6,1,2,3,7,8,9,10]=>001000000 [10,8,9,1,2,3,4,5,6,7]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9,10]=>101000000 [10,9,8,1,2,3,4,5,6,7]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9,10]=>111000000 [7,8,9,10,1,2,3,4,5,6]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9,10]=>000100000 [10,7,8,9,1,2,3,4,5,6]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9,10]=>100100000 [9,10,7,8,1,2,3,4,5,6]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9,10]=>010100000 [10,9,7,8,1,2,3,4,5,6]=>[[1,4,7,8,9,10],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9,10]=>110100000 [10,9,8,7,1,2,3,4,5,6]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>111100000 [10,6,7,8,9,1,2,3,4,5]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5,10]=>100010000 [9,10,6,7,8,1,2,3,4,5]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9,10]=>010010000 [10,9,6,7,8,1,2,3,4,5]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9,10]=>110010000 [10,8,9,6,7,1,2,3,4,5]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9,10]=>101010000 [10,9,8,6,7,1,2,3,4,5]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9,10]=>111010000 [10,9,8,7,6,1,2,3,4,5]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9,10]=>111110000 [9,10,5,6,7,8,1,2,3,4]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6]=>010001000 [10,9,5,6,7,8,1,2,3,4]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>[7,3,2,8,9,10,1,4,5,6]=>110001000 [8,9,10,5,6,7,1,2,3,4]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3,10]=>001001000 [10,9,8,5,6,7,1,2,3,4]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6,10]=>111001000 [9,10,7,8,5,6,1,2,3,4]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9,10]=>010101000 [10,9,7,8,5,6,1,2,3,4]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10]=>110101000 [10,9,8,7,5,6,1,2,3,4]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9,10]=>111101000 [10,9,8,7,6,5,1,2,3,4]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9,10]=>111111000 [10,7,8,9,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4]=>100100100 [9,10,7,8,4,5,6,1,2,3]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>[8,9,5,6,3,4,10,1,2,7]=>010100100 [10,9,7,8,4,5,6,1,2,3]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>[8,5,3,9,2,6,10,1,4,7]=>110100100 [10,9,8,7,4,5,6,1,2,3]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[8,5,4,3,2,9,10,1,6,7]=>111100100 [10,8,9,6,7,4,5,1,2,3]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>101010100 [10,9,8,6,7,4,5,1,2,3]=>[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5,10]=>111010100 [10,9,8,7,6,4,5,1,2,3]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7,10]=>111110100 [10,9,8,7,6,5,4,1,2,3]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9,10]=>111111100 [9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,3,4,1,2]=>010101010 [10,9,7,8,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[9,7,5,10,3,8,2,6,1,4]=>110101010 [10,9,8,7,5,6,3,4,1,2]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[9,7,5,4,3,10,2,8,1,6]=>111101010 [10,9,8,7,6,5,3,4,1,2]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,10,1,8]=>111111010 [10,9,8,7,6,5,4,3,1,2]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>111111110 [3,4,6,2,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [3,2,7,5,4,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [4,3,6,2,8,1,5,7]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [6,1,2,5,4,7,8,3]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [4,2,8,5,1,3,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>0100100 [4,3,6,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [5,3,6,4,1,7,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [6,2,1,5,8,3,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [4,6,7,2,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>0101000 [2,4,6,1,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [2,7,5,4,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [7,5,4,6,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [5,4,6,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [5,6,3,2,7,1,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [5,6,3,2,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [8,5,6,3,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [5,4,6,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [2,5,4,1,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [5,6,3,2,1,8,4,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [6,8,4,3,2,1,5,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [5,3,8,2,1,6,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [8,4,6,3,2,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [8,6,4,3,2,1,7,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [7,6,4,3,2,1,8,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [7,8,4,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>1101010 [5,4,7,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [7,5,8,3,2,6,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>1101010 [5,7,3,2,1,6,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [6,3,7,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [6,2,5,7,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [3,6,7,2,8,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [6,3,7,2,8,1,4,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [3,2,6,1,7,4,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [3,5,2,1,4,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [7,3,5,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [2,5,4,1,3,7,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [3,7,2,8,6,1,4,5]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [3,6,8,2,1,7,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [5,3,8,2,1,4,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [4,8,7,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [4,7,3,2,1,5,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [8,4,7,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [8,3,5,2,1,4,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [7,3,2,8,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [3,5,2,1,4,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [7,8,6,5,4,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>11111100 [1,8,9,7,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>11111100 [8,9,7,6,5,4,3,2,1,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>111111100 [6,8,7,5,4,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>11111100 [1,8,7,9,6,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,1,2,4]=>11111100 [1,7,9,8,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>11111100 [1,9,10,8,7,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>111111100 [7,8,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [8,6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>1101010 [5,4,1,6,3,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [5,4,1,6,2,3,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [5,7,1,6,2,8,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [2,7,6,5,1,8,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [2,3,6,4,1,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [2,3,6,1,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [2,7,6,1,4,8,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>1100100 [7,3,5,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [2,7,6,4,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [2,1,7,6,3,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [2,1,7,6,3,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [2,7,6,4,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [6,3,5,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [2,3,4,8,7,6,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [2,3,4,8,5,7,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [7,3,5,4,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [6,4,3,5,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [6,4,3,5,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [7,3,5,4,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [2,3,4,8,7,5,6,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [2,3,4,8,7,5,1,6]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [7,3,5,6,8,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [7,3,5,6,8,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [6,4,1,5,8,7,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [6,4,1,5,8,7,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [6,4,1,5,8,3,7,2]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [5,7,1,6,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [6,4,1,5,8,3,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [7,4,1,5,8,2,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [6,3,5,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [7,3,5,4,8,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [2,3,4,8,5,6,1,7]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [2,3,4,8,7,1,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [2,3,4,8,1,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [2,3,4,8,1,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [2,3,4,8,5,1,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [6,3,5,4,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [7,4,3,5,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [2,1,4,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [7,4,3,5,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [2,3,4,8,1,6,5,7]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000 [2,3,4,8,1,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [7,8,2,6,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [7,8,1,6,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [1,8,6,7,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [1,8,5,7,2,6,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [5,8,1,7,2,6,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [5,8,2,7,1,6,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [2,8,6,7,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [2,8,5,7,1,6,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [2,8,1,7,5,6,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [1,8,2,7,5,6,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,8,2,7,4,6,3,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [2,8,1,7,4,6,3,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [2,8,4,7,1,6,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [4,8,2,7,1,6,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [4,8,1,7,2,6,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [1,8,4,7,2,6,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [4,8,1,7,5,6,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [1,8,4,7,5,6,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,8,3,7,5,6,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [3,8,1,7,5,6,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [3,8,1,7,4,6,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [1,8,3,7,4,6,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,8,3,7,2,6,4,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [3,8,1,7,2,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [3,8,2,7,1,6,4,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [3,8,2,7,4,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [3,8,2,7,5,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [4,8,2,7,5,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [4,8,3,7,5,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [3,8,4,7,5,6,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [2,8,4,7,5,6,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [2,8,3,7,5,6,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [2,8,3,7,4,6,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [2,8,3,7,1,6,4,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [2,8,1,7,3,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [7,5,2,8,6,4,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010 [7,5,1,8,6,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [7,1,8,4,5,2,6,3]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [6,8,1,7,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [1,6,7,4,2,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [1,6,7,3,8,5,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [7,1,8,3,5,6,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [7,3,8,6,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>0101010 [7,4,2,8,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [7,3,1,8,4,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [7,2,8,4,1,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [7,2,8,3,5,1,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [7,2,8,3,4,6,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [1,5,7,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [6,2,3,8,5,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [6,3,1,4,8,5,2,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [2,6,3,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [2,4,7,3,5,6,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [2,4,7,3,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [2,5,3,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [3,1,5,4,7,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [5,2,4,8,6,1,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [4,8,2,3,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [4,8,2,3,5,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [1,4,7,8,3,6,2,5]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [4,8,1,3,6,7,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [5,4,3,8,1,2,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [6,4,2,8,1,3,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [6,3,8,2,5,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [6,3,8,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [5,8,1,3,6,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [1,5,7,4,2,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [5,8,1,4,2,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [6,5,1,2,8,7,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [6,5,3,1,4,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [5,3,1,6,4,2,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [5,2,6,4,1,7,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [4,6,1,7,5,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [4,5,1,7,2,6,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [3,5,7,1,8,6,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [3,6,2,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [4,2,5,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [3,4,7,2,8,6,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [3,4,5,8,2,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [3,4,6,2,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [3,5,2,6,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [4,2,5,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [4,3,1,2,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [5,3,6,8,4,7,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [8,4,2,5,7,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [4,1,6,5,8,3,2,7]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [8,5,4,7,6,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>1111010 [8,2,1,5,4,3,7,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [8,4,1,5,7,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [8,3,6,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [2,7,6,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [6,7,8,5,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [6,7,8,2,4,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [8,3,6,2,4,7,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>1100100 [5,7,3,8,4,6,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [4,7,3,5,8,6,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [8,7,2,1,4,3,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [8,7,3,1,4,6,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [8,7,6,3,2,5,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>1111010 [8,7,3,5,1,6,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [8,7,2,5,1,3,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [8,4,6,5,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [3,7,6,5,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [8,1,2,3,4,5,6,7,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>10000000 [1,9,2,3,4,5,6,7,8]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>10000000 [9,1,2,3,4,5,6,7,8,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [7,8,1,2,3,4,5,6,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>01000000 [1,10,2,3,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>100000000 [8,9,1,2,3,4,5,6,7,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,4,1,2,5,6,7,8,9,10]=>010000000 [7,1,8,2,3,4,5,6,9]=>[[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>01000000 [6,8,1,2,3,4,5,7,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>01000000 [3,6,4,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [1,6,2,4,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [7,3,8,4,5,6,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [3,5,6,4,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [4,6,8,5,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [6,8,5,3,4,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [1,6,5,4,2,8,7,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [4,2,7,5,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [1,3,6,4,8,2,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [4,1,7,5,3,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [6,5,1,3,4,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [4,8,5,3,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [7,4,5,3,2,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [5,8,3,6,1,4,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [1,4,6,2,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [7,2,1,4,5,6,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [1,2,8,3,6,5,7,4]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [6,1,3,2,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [1,6,3,8,5,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [7,6,5,8,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [1,6,4,3,7,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [7,1,3,4,5,2,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [1,8,3,5,4,2,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [3,2,6,4,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [7,2,5,8,3,4,1,6]=>[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>1101000 [5,3,8,7,1,2,6,4]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [6,5,3,8,2,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [3,5,7,8,4,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [1,4,7,5,3,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [2,4,6,7,3,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [2,6,4,5,3,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [5,6,8,4,2,3,1,7]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [6,8,5,4,3,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [6,1,4,2,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [4,8,6,5,3,2,7,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [8,6,5,1,2,4,7,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [8,3,1,5,6,2,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [6,8,5,2,1,4,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [3,8,2,5,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [2,8,1,5,6,3,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [8,1,2,5,6,3,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [5,1,8,6,2,7,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [8,6,1,5,7,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [3,8,6,5,7,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [7,6,5,8,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [5,1,7,6,8,4,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [7,2,5,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [8,2,1,5,7,6,3,4]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [5,2,8,6,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [1,2,8,6,5,7,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [4,2,1,3,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [7,2,6,5,4,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [6,1,3,5,4,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [6,1,5,3,4,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [7,5,6,2,4,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [4,3,1,2,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [3,5,8,6,2,7,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [5,8,1,6,3,7,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [1,8,5,6,3,7,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,7,6,5,4,2,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [5,7,6,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [7,1,4,2,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [4,1,7,3,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [5,7,6,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [4,7,6,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [1,7,6,4,5,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [1,8,3,6,5,7,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [3,8,1,6,5,7,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [8,1,3,5,7,6,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [6,1,5,4,3,7,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [7,5,6,4,2,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [8,3,2,6,5,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [7,4,6,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [6,1,4,3,5,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [6,1,3,4,5,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [7,2,6,4,5,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [3,4,7,8,5,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [1,4,7,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [6,8,3,4,5,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [4,3,6,7,5,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [7,3,8,6,4,5,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [1,2,7,6,5,8,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [4,8,2,6,1,5,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [2,3,8,6,4,1,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [7,8,3,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [7,8,1,2,5,6,3,4]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [7,1,3,6,8,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [1,8,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [7,1,5,8,3,6,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [6,1,5,7,4,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [6,5,7,1,4,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [2,8,3,4,5,1,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [6,2,4,3,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [4,2,8,3,1,7,5,6]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [1,3,7,4,8,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [5,3,7,4,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [2,4,7,3,6,1,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000 [5,8,7,6,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [7,5,6,8,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [2,4,7,1,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [1,2,7,8,5,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [6,3,1,2,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [4,2,1,3,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [2,8,1,4,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [7,2,1,5,4,6,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [7,8,2,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [5,8,1,6,3,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [6,5,1,8,2,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [7,6,1,8,5,3,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [5,6,1,7,4,8,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [3,1,7,5,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [2,6,5,7,3,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [1,6,4,7,5,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [8,5,3,6,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [1,3,7,4,6,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [8,1,6,5,7,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [1,2,7,6,8,3,4,5]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [2,1,7,5,6,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [4,8,5,6,2,7,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [7,8,1,6,2,4,5,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [6,8,1,4,7,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [3,7,4,1,8,5,2,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [2,7,1,8,4,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [6,5,1,4,3,8,2,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [1,6,2,5,8,3,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000 [8,5,1,3,7,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [8,4,2,1,7,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [7,4,2,1,8,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [6,4,3,1,5,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [3,4,8,5,6,7,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [6,3,5,8,4,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [5,4,2,8,7,3,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [6,2,5,8,7,3,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [3,2,8,5,7,4,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [1,3,8,7,5,6,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [3,1,8,5,7,6,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [6,1,5,8,7,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [5,4,1,8,7,6,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100 [5,8,6,7,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [4,8,7,5,6,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [4,2,1,6,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [6,2,1,4,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [6,2,1,4,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [8,2,1,4,3,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [6,2,4,1,3,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [6,2,4,1,3,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [2,1,6,4,3,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [2,6,4,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [4,6,2,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [6,4,2,1,3,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [8,4,2,1,3,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [8,4,2,1,6,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [6,4,2,1,8,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [2,6,1,4,3,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [2,1,6,4,3,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [2,1,8,4,3,6,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [2,8,1,4,3,6,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [2,8,4,1,3,6,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [4,8,2,1,3,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [6,8,2,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [8,6,2,1,4,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [2,6,4,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [4,6,2,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [4,2,6,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [6,2,4,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [4,2,1,6,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [4,2,1,3,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [2,1,4,3,8,6,5,7]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [2,4,1,3,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [4,2,1,3,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [4,2,1,8,3,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>0101000 [4,2,1,8,6,3,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [8,2,1,6,4,3,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [8,2,6,1,4,3,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [2,4,8,1,3,6,5,7]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [2,4,1,8,3,6,5,7]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [2,1,4,8,6,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [2,4,8,6,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [4,6,8,2,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [2,6,8,4,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [2,6,1,8,4,3,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [2,1,6,8,4,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [2,1,8,6,4,3,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [2,8,6,4,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [4,8,6,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [6,8,4,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [5,2,4,3,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [6,2,4,1,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [4,3,5,2,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [4,3,8,2,6,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [5,1,8,3,4,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [5,4,8,1,3,2,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [5,1,7,6,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [4,3,7,6,8,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [6,3,5,4,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [6,3,5,4,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [7,1,6,3,8,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [7,4,6,5,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [2,1,8,4,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [8,1,6,3,4,2,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,1,6,3,7,2,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [8,3,5,1,7,2,6,4]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [8,3,5,2,6,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [7,3,5,2,6,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [8,2,6,3,5,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,2,4,1,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [8,2,4,1,7,3,6,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [8,2,4,3,6,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [3,2,8,4,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [3,2,7,6,8,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [6,5,7,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [6,5,8,2,4,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [7,2,4,1,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [7,6,8,2,4,1,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [7,6,8,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [2,1,7,3,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [7,1,3,2,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [7,1,8,5,6,2,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [7,1,8,2,6,4,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [6,2,7,4,5,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [5,4,8,2,6,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [6,5,7,4,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [6,5,7,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [6,1,7,4,8,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [5,4,7,1,8,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [5,4,6,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [2,5,3,4,7,1,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [2,4,8,3,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [4,2,5,3,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [4,2,1,8,5,3,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [5,4,1,3,8,2,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [1,8,5,4,3,2,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [1,7,4,3,8,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [1,5,7,3,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [5,1,4,7,8,3,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [8,1,5,3,7,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [3,8,4,7,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [6,8,1,7,4,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>1110100 [1,7,5,6,3,2,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [4,2,1,7,8,5,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [2,7,4,6,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [6,2,4,8,3,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [7,2,6,3,4,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [2,7,1,8,3,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [2,1,7,3,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [8,7,1,3,6,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [8,2,1,7,3,5,6,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [7,8,2,6,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [8,7,2,6,3,5,4,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [1,2,8,7,4,5,6,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [8,3,7,1,5,6,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [8,6,1,2,7,5,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [8,1,6,2,7,4,5,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [1,8,5,2,6,7,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [5,2,1,8,6,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [2,8,5,7,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [7,8,1,6,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [8,7,6,1,5,3,4,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [8,7,1,6,4,5,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [8,1,7,5,6,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [1,8,6,7,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [6,3,5,2,1,4,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [6,3,5,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [8,5,2,7,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [3,5,1,4,6,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [8,3,4,5,7,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [5,7,4,6,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100 [2,8,4,6,3,7,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [8,1,4,7,3,6,2,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [8,5,1,4,7,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [8,5,3,7,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [2,1,8,5,7,4,3,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [6,5,3,7,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [6,5,1,4,7,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [6,3,4,7,5,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [4,8,3,7,1,2,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [3,8,6,4,1,7,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [3,8,1,2,5,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [2,8,7,5,4,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,7,2,6,4,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [5,3,7,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [8,3,6,2,1,4,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [5,3,7,6,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>1010100 [5,3,6,2,8,7,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [5,7,8,6,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [2,6,7,5,4,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [6,1,7,4,5,8,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [6,7,3,5,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [2,1,5,7,3,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [4,1,7,2,5,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [2,4,7,1,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [4,6,2,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [3,4,6,2,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [5,6,3,1,8,7,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [3,5,6,4,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [3,4,6,1,5,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [3,4,1,5,7,6,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [3,8,2,7,1,6,5,4]=>[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010 [3,8,2,7,6,1,5,4]=>[[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>1101010 [3,8,2,7,6,5,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [3,8,2,7,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [4,8,7,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [4,8,7,3,1,6,5,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [4,8,7,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>1101010 [4,8,7,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [5,8,7,6,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>1101010 [5,8,7,6,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [5,8,7,6,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>1101010 [5,8,7,6,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [5,8,7,6,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [5,8,7,6,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [5,8,7,6,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [7,3,5,2,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [7,2,1,5,6,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [1,4,6,7,3,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [6,3,5,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [6,2,1,5,7,4,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [3,2,1,5,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [2,4,6,7,3,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [1,4,6,7,3,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,5,6,7,8,3,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [2,5,6,7,8,3,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [3,2,1,6,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [5,2,1,6,7,8,4,3]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [5,3,6,1,7,8,4,2]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [5,4,6,7,1,8,3,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [1,5,6,7,8,3,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [6,4,5,7,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [5,4,6,7,2,8,3,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [4,3,6,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [3,4,6,7,2,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [4,2,1,5,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [1,5,6,7,8,2,4,3]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [1,5,6,7,8,4,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [3,4,6,7,1,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [4,3,6,1,7,8,5,2]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [2,1,4,3,6,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9]=>00010000 [2,4,1,6,3,7,5,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [2,4,1,5,3,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [2,3,1,5,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [1,3,2,5,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [2,4,1,3,6,5,8,7,10,9]=>[[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>000010000 [2,4,1,6,3,5,8,7,10,9]=>[[1,2,4,7,9],[3,5,6,8,10]]=>[3,5,6,8,10,1,2,4,7,9]=>000010000 [2,4,1,6,3,8,5,7,10,9]=>[[1,2,4,6,9],[3,5,7,8,10]]=>[3,5,7,8,10,1,2,4,6,9]=>000010000 [2,4,1,6,3,8,5,10,7,9]=>[[1,2,4,6,8],[3,5,7,9,10]]=>[3,5,7,9,10,1,2,4,6,8]=>000010000 [2,4,1,6,3,8,5,9,7,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>000100000 [2,4,1,5,3,8,6,9,7]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [2,4,1,6,3,7,5,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>000100000 [2,3,1,6,4,7,5,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [2,4,1,5,3,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>000100000 [1,4,2,5,3,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [2,3,1,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>000100000 [1,3,2,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>000100000 [7,1,2,3,4,5,6,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>10000000 [1,4,3,6,2,5,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>1010000 [1,4,3,7,2,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>1010000 [1,4,3,7,6,8,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [1,4,3,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,4,3,7,2,6,5,8]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [1,5,3,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,3,2,6,5,8,4,7]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,5,4,8,2,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [1,5,4,8,3,7,2,6]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,2,3,6,5,8,4,7]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [6,8,2,4,5,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [3,7,8,4,5,2,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [7,8,1,4,5,3,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [4,8,3,6,1,5,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [5,8,1,4,7,6,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [7,5,1,8,6,2,4,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [7,4,1,8,2,6,3,5]=>[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>0101000 [7,1,8,4,2,6,3,5]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [6,1,3,8,5,2,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [7,1,8,3,6,2,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [7,3,1,8,4,2,6,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [7,2,8,4,1,6,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [7,2,8,3,6,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [7,1,8,2,3,6,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [1,5,2,3,8,4,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [6,3,1,4,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [3,1,6,4,2,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [2,6,3,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [2,5,1,8,3,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [2,5,1,3,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [1,2,4,8,3,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [2,4,8,1,3,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [2,4,8,3,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [2,5,3,8,1,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [2,5,4,1,3,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [5,3,1,4,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [5,2,3,8,4,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [4,8,2,3,7,1,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [4,8,1,2,3,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [1,4,8,2,3,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [1,4,8,3,7,2,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [6,3,8,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [5,3,8,1,2,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [1,5,3,8,2,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>0101000 [5,1,4,8,2,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [6,5,1,2,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [5,3,1,6,4,2,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [5,1,6,2,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [4,1,5,8,2,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [4,1,2,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [1,4,2,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,3,5,2,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [3,5,1,2,8,7,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [3,6,2,8,7,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [4,3,1,5,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [3,5,2,8,7,1,4,6]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [3,4,8,7,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [3,4,8,7,1,2,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [3,4,8,1,7,2,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [1,3,4,8,7,2,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [1,3,4,8,2,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [3,4,8,1,2,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [3,4,8,2,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [4,2,5,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [4,3,1,2,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [3,1,4,2,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,3,5,1,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [7,8,2,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [6,4,1,2,7,3,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [2,3,7,5,4,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [6,3,1,5,4,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [7,8,1,5,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [7,8,3,5,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [7,8,2,5,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [6,2,1,5,4,7,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [5,3,6,1,4,7,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [5,3,6,2,4,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [6,4,2,1,7,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [4,3,7,5,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100 [3,1,6,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [2,7,6,5,3,1,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [5,1,6,2,4,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [4,7,6,5,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [1,7,6,5,2,8,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [1,7,6,5,3,2,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [4,7,6,5,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [4,7,6,5,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [6,1,3,5,4,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [5,2,6,3,4,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [5,1,6,2,4,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [1,2,6,3,4,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,7,2,4,8,3,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [6,1,4,2,8,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [4,1,8,2,6,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [4,7,2,1,5,3,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [1,7,2,6,8,3,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [1,2,6,7,4,8,5,3]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [3,1,6,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [4,7,6,3,5,8,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [4,7,1,2,5,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [3,7,6,5,1,4,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [3,7,6,5,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [1,7,6,5,8,2,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>1110100 [3,7,6,5,8,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>1110100 [3,7,6,5,1,2,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [3,1,6,8,4,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [4,7,6,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [2,7,6,5,8,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [2,7,6,5,8,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [6,3,2,1,7,4,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [4,2,1,7,3,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [7,3,1,5,4,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [8,4,1,5,2,7,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [8,2,5,1,3,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>1100100 [4,3,7,2,1,5,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [2,7,5,4,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [7,5,4,3,2,1,8,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [6,5,2,1,8,4,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [1,7,6,2,4,8,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [2,7,3,6,4,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [7,1,8,5,3,6,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [5,8,3,2,7,1,6,4]=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010 [8,7,3,1,6,5,4,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [8,7,2,6,1,5,4,3]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>1111010 [1,8,5,7,2,4,6,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [7,2,8,5,6,1,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [3,6,5,8,1,4,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [8,4,1,5,7,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [6,3,7,4,8,5,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [4,7,2,5,8,6,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [6,3,1,8,4,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [6,5,3,8,7,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010 [6,4,7,8,1,5,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [2,5,8,7,1,3,6,4]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [5,3,8,7,2,1,6,4]=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>0101010 [8,3,7,6,1,5,4,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [8,2,7,6,5,1,4,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [4,3,8,7,6,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [2,4,8,7,6,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [3,5,8,7,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [4,7,3,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [7,5,8,6,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [3,8,7,6,5,1,4,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [2,8,7,6,5,4,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [3,4,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>01000000 [3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>11000000 [4,5,6,1,2,3,7,8,9]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5,6,1,2,3,7,8,9]=>00100000 [4,2,5,1,3,6,7,8,9]=>[[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>10100000 [4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>11100000 [5,6,7,8,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9]=>00010000 [5,2,6,7,1,3,4,8,9]=>[[1,3,4,8,9],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9]=>10010000 [5,6,3,4,1,2,7,8,9]=>[[1,2,7,8,9],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9]=>01010000 [5,3,2,6,1,4,7,8,9]=>[[1,4,7,8,9],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9]=>11010000 [5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>11110000 [6,2,7,8,9,1,3,4,5]=>[[1,3,4,5],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5]=>10001000 [6,7,3,4,8,1,2,5,9]=>[[1,2,5,9],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9]=>01001000 [6,3,2,7,8,1,4,5,9]=>[[1,4,5,9],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9]=>11001000 [6,4,7,2,5,1,3,8,9]=>[[1,3,8,9],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9]=>10101000 [6,4,3,2,7,1,5,8,9]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9]=>11101000 [6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9]=>11111000 [7,4,8,2,5,9,1,3,6]=>[[1,3,6],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6]=>10100100 [7,4,3,2,8,9,1,5,6]=>[[1,5,6],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6]=>11100100 [7,8,5,6,3,4,1,2,9]=>[[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>01010100 [7,5,3,8,2,6,1,4,9]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9]=>11010100 [7,5,4,3,2,8,1,6,9]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9]=>11110100 [7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>11111100 [8,6,9,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3]=>10101010 [8,6,4,3,9,2,7,1,5]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5]=>11101010 [8,6,5,4,3,2,9,1,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7]=>11111010 [3,4,1,2,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,4,1,2,5,6,7,8,9,10]=>010000000 [3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>110000000 [4,5,6,1,2,3,7,8,9,10]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,5,6,1,2,3,7,8,9,10]=>001000000 [4,2,5,1,3,6,7,8,9,10]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9,10]=>101000000 [4,3,2,1,5,6,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9,10]=>111000000 [5,6,7,8,1,2,3,4,9,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9,10]=>000100000 [5,2,6,7,1,3,4,8,9,10]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9,10]=>100100000 [5,6,3,4,1,2,7,8,9,10]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9,10]=>010100000 [5,3,2,6,1,4,7,8,9,10]=>[[1,4,7,8,9,10],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9,10]=>110100000 [5,4,3,2,1,6,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>111100000 [6,2,7,8,9,1,3,4,5,10]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5,10]=>100010000 [6,7,3,4,8,1,2,5,9,10]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9,10]=>010010000 [6,3,2,7,8,1,4,5,9,10]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9,10]=>110010000 [6,4,7,2,5,1,3,8,9,10]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9,10]=>101010000 [6,4,3,2,7,1,5,8,9,10]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9,10]=>111010000 [6,5,4,3,2,1,7,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9,10]=>111110000 [7,8,3,4,9,10,1,2,5,6]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6]=>010001000 [7,8,9,4,5,6,1,2,3,10]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3,10]=>001001000 [7,4,3,2,8,9,1,5,6,10]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6,10]=>111001000 [7,8,5,6,3,4,1,2,9,10]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9,10]=>010101000 [7,5,3,8,2,6,1,4,9,10]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10]=>110101000 [7,5,4,3,2,8,1,6,9,10]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9,10]=>111101000 [7,6,5,4,3,2,1,8,9,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9,10]=>111111000 [8,5,9,10,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4]=>100100100 [8,5,3,9,2,6,10,1,4,7]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>[8,5,3,9,2,6,10,1,4,7]=>110100100 [8,6,9,4,7,2,5,1,3,10]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>101010100 [8,6,4,3,9,2,7,1,5,10]=>[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5,10]=>111010100 [8,6,5,4,3,2,9,1,7,10]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7,10]=>111110100 [8,7,6,5,4,3,2,1,9,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9,10]=>111111100 [9,7,5,4,3,10,2,8,1,6]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[9,7,5,4,3,10,2,8,1,6]=>111101010 [3,6,5,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [3,7,5,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [3,8,5,7,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,1,2,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [6,1,2,5,4,3,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [5,1,2,4,6,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [4,1,2,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [4,7,1,8,3,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [4,1,7,8,5,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [7,5,3,8,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [2,1,5,8,7,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [4,1,8,7,5,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [7,1,2,3,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [6,8,1,4,3,7,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [2,1,7,3,4,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [7,8,3,2,4,1,6,5]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [6,7,1,4,3,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [8,1,2,3,5,7,6,4]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [8,1,2,3,6,7,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [7,1,2,3,6,8,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [7,8,2,6,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [6,8,2,7,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [6,7,2,8,3,4,1,5]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [3,8,7,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [3,7,8,1,4,2,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [3,6,8,1,4,2,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [3,5,7,8,2,4,1,6]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [3,6,7,1,4,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [7,6,2,8,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [8,6,2,7,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [8,1,7,5,4,3,2,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>1111100 [8,1,7,4,5,3,2,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [5,8,3,7,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [2,1,7,3,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [6,7,3,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [8,7,2,4,3,6,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [7,1,2,3,5,6,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [5,1,2,3,8,7,6,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [8,6,2,4,3,1,7,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [2,1,6,3,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [7,6,2,4,3,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [6,1,2,3,5,7,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [7,8,1,2,6,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [1,2,8,5,4,7,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [1,3,8,5,4,2,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [2,3,6,8,4,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [1,3,6,8,4,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [2,4,8,1,7,3,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [1,2,6,8,4,5,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [7,5,1,2,4,3,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [7,4,6,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [7,1,4,2,6,3,5,8]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [6,8,1,4,7,2,3,5]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [1,6,3,8,5,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [6,8,1,7,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100 [7,1,3,6,5,4,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [7,3,1,6,5,4,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [6,8,1,2,7,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [1,6,2,3,8,5,4,7]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,5,8,2,7,6,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [5,8,2,7,6,3,4,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>1110100 [3,6,4,1,2,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [2,1,6,3,8,5,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [2,5,1,8,7,6,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [1,2,5,3,8,7,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [2,4,8,7,6,5,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [2,5,3,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [3,5,8,7,1,4,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [5,3,8,4,1,7,6,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [4,2,8,7,6,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [4,2,8,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [4,1,8,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [4,3,8,7,6,5,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [6,3,1,8,7,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [5,8,3,7,6,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>1101010 [5,1,3,8,7,6,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [1,5,3,8,7,6,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [1,5,8,4,7,2,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [5,1,8,4,7,2,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [5,8,7,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [5,6,3,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [5,6,1,2,4,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [4,5,8,1,7,2,6,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [3,5,1,8,7,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [3,5,1,8,7,2,6,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [4,3,6,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [4,5,8,3,1,7,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [4,5,2,8,7,1,3,6]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [3,2,5,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [3,4,8,7,6,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [3,4,8,7,6,5,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [1,3,4,8,7,6,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [1,2,7,5,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [7,1,4,8,2,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [3,7,8,1,2,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [1,3,7,8,2,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [2,3,7,8,1,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [2,7,8,1,3,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [8,1,2,6,7,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [8,2,5,7,1,3,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [2,6,8,3,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [2,8,6,4,7,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [6,8,3,7,4,1,5,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [8,2,5,7,1,6,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [8,5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>1101010 [8,5,2,4,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [8,2,4,7,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [8,2,7,1,4,6,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [8,7,1,2,4,6,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [8,7,1,4,6,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [1,6,8,3,7,2,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [8,3,5,7,1,2,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [5,8,7,1,3,6,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [8,5,4,7,1,6,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [8,5,4,7,1,2,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [8,5,1,4,7,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [1,4,6,8,2,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [8,5,6,3,1,7,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [1,8,4,5,7,2,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [5,8,7,3,6,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [8,3,5,7,1,6,2,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [6,3,8,2,7,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010 [6,8,4,2,7,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010 [8,6,4,7,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [8,4,2,5,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [8,3,4,7,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [8,7,1,3,4,6,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [2,8,4,5,7,1,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [8,7,3,4,5,1,6,2]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [8,7,4,5,2,6,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [5,8,7,2,3,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [8,7,2,3,4,6,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [8,7,2,3,6,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [1,3,2,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [5,2,1,8,4,3,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [6,2,8,4,3,7,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [7,2,8,4,3,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>1010100 [6,3,4,8,2,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [8,1,4,5,2,3,7,6]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [8,1,5,4,3,2,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [3,5,4,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [6,4,3,2,8,7,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010 [6,5,3,2,1,7,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [5,6,3,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [4,1,6,3,2,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [3,6,4,2,7,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [8,1,6,4,3,7,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [2,7,4,1,3,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [3,7,4,2,6,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [4,1,7,3,2,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [7,6,3,2,1,5,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [4,7,5,6,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [2,7,5,6,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [4,6,5,7,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [5,6,4,7,2,8,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [6,5,4,1,7,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [7,5,4,6,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [8,1,5,6,7,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [3,4,6,8,7,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [4,3,1,6,8,7,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [5,3,6,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [7,3,5,8,6,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [6,2,8,5,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [1,3,2,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,3,8,6,7,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [2,3,8,7,1,6,5,4]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [4,2,8,7,6,1,5,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>1101010 [5,2,8,7,6,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [7,2,1,8,6,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [7,3,6,1,8,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [6,3,7,8,5,4,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [5,3,7,8,6,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [4,3,1,7,8,6,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [3,4,7,8,6,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [5,4,1,7,6,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [6,4,7,5,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [7,5,6,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [4,6,7,5,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [8,1,6,7,5,4,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [8,1,7,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>1111110 [4,7,6,5,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [8,6,4,3,1,5,7,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [8,6,4,1,5,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [8,6,3,1,7,2,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [8,7,3,1,5,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [5,3,1,7,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [8,7,1,2,4,5,3,6]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [8,6,1,2,4,7,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [8,5,1,2,6,7,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [8,5,1,6,4,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [8,5,1,3,6,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [8,6,1,5,3,4,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [8,6,1,5,2,4,7,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [8,6,1,2,5,7,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [8,6,1,2,7,4,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [8,7,1,2,5,4,3,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [5,1,4,2,7,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [7,1,5,8,2,6,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [5,7,8,1,2,4,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [5,7,8,1,3,4,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [5,8,1,7,3,4,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [8,4,1,2,7,6,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [1,4,2,3,8,7,5,6]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,4,2,7,6,3,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [6,1,2,4,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [3,1,8,4,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [3,1,7,6,4,8,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [7,1,2,4,6,8,5,3]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [7,1,2,6,8,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [6,1,2,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [3,1,6,4,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [5,7,1,3,8,4,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [5,7,1,8,4,2,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100 [7,1,5,3,2,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [7,1,4,5,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [4,7,3,1,5,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [4,8,7,3,1,5,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [8,1,7,4,5,2,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [8,1,7,5,3,2,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [8,3,7,1,2,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [3,1,7,2,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [1,4,2,3,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,4,2,3,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [5,8,1,7,2,4,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [5,8,1,3,4,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [3,1,8,6,4,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [6,1,2,8,7,3,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [1,2,3,5,8,4,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [1,2,3,5,8,6,4,7]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [7,1,2,8,3,6,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [7,1,2,8,6,4,5,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [3,1,7,8,4,6,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [3,1,8,7,6,4,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [8,1,2,7,4,6,5,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [8,1,2,7,3,6,5,4]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [1,2,3,5,8,7,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [1,2,3,6,8,5,4,7]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [7,8,5,6,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>0101010 [7,5,6,3,1,4,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [7,5,8,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [7,8,5,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>0101010 [7,8,5,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010 [7,8,5,3,6,4,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>0101010 [7,5,8,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [7,5,6,3,4,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [7,5,6,3,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [7,5,3,6,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [7,5,3,1,4,2,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [7,5,3,1,6,4,8,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [7,5,3,6,4,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [7,5,3,8,4,6,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [7,5,3,8,1,4,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [7,5,3,1,8,4,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [7,5,3,1,8,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [7,5,3,1,6,4,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [7,5,3,1,8,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [7,5,3,1,8,6,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [7,5,3,8,1,6,4,2]=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>0101010 [7,5,3,8,6,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>0101010 [7,5,3,8,6,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010 [7,5,8,3,6,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010 [7,5,8,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>0101010 [7,5,8,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>0101010 [7,5,3,6,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [7,5,3,8,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [7,5,8,6,3,1,4,2]=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>0101010 [7,5,8,6,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>0101010 [7,5,6,3,8,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [7,5,3,4,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [7,5,6,3,1,8,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [7,5,6,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [7,5,6,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [7,5,6,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [7,5,3,6,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [7,5,3,1,6,8,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [7,5,3,1,2,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [7,5,3,1,2,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [7,5,3,1,4,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [7,5,3,4,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [7,5,3,4,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [7,5,3,1,4,6,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [3,5,2,8,4,7,6,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [5,4,8,3,2,7,6,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [6,4,5,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [5,3,2,6,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [4,7,6,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [4,8,6,3,7,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [5,8,4,3,2,7,6,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [5,3,2,8,4,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [2,1,5,8,4,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [5,3,2,7,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [4,7,8,3,6,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [4,6,8,3,7,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [7,6,4,3,8,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [7,3,2,6,8,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [2,1,8,6,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [8,3,2,6,7,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [8,6,4,3,7,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [8,5,7,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>1111110 [8,4,7,3,6,5,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>1111010 [8,4,6,3,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [7,4,6,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [3,7,2,6,8,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [3,8,2,6,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [3,7,2,8,6,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [3,6,2,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [6,4,7,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [6,4,8,3,7,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>1101010 [7,4,8,3,6,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>1101010 [7,5,4,3,2,8,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>1111010 [7,3,2,5,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [2,1,7,5,4,8,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [7,3,2,8,6,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [7,8,4,3,6,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [6,8,5,7,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [6,8,4,3,7,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [6,3,2,8,7,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [6,3,2,7,8,5,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [6,7,4,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [2,3,1,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>10000000 [2,3,1,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>100000000 [2,4,3,1,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>11000000 [2,3,4,1,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>100000000 [2,3,4,5,1,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>100000000 [2,3,4,5,6,1,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>100000000 [2,3,4,5,6,7,1,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>100000000 [2,3,4,5,6,7,8,1,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>100000000 [2,3,4,5,6,7,9,8,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>11000000 [4,6,8,3,5,7,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [6,8,1,2,4,5,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [3,5,8,2,4,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [8,3,5,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [4,5,2,8,3,1,6,7]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [4,2,5,8,3,7,1,6]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [2,1,6,8,4,7,3,5]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [1,2,5,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [5,3,6,8,4,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [1,6,5,8,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [3,1,2,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [1,4,3,8,2,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>0101000 [5,4,8,3,2,1,6,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [5,4,3,7,2,6,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [4,3,6,2,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [4,6,3,2,1,8,5,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [4,1,7,3,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [4,3,1,7,8,2,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [7,5,1,4,8,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [5,4,7,3,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [5,8,4,7,6,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [5,8,7,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [8,3,5,1,2,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>1100100 [1,8,4,3,5,2,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [4,6,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [4,7,3,6,5,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [1,6,3,4,2,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [1,8,3,6,2,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [6,4,8,7,5,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [7,6,4,3,8,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [7,1,3,2,6,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [1,5,3,2,7,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [6,3,2,1,8,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [5,2,6,3,7,4,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [2,8,5,3,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [2,1,7,3,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [1,6,2,3,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,6,7,2,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [5,7,1,8,2,4,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [5,1,2,7,8,3,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [4,2,1,7,3,8,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [6,2,8,4,3,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [7,3,2,1,8,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [7,8,3,2,5,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [7,1,8,2,4,5,6,3]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [8,7,6,1,2,4,5,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [8,3,7,6,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [8,3,6,5,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [7,6,3,5,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [8,2,4,1,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [8,7,1,5,6,2,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [8,5,7,3,6,4,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>1101010 [6,8,3,7,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [8,1,2,6,4,3,7,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [2,8,1,7,5,4,3,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [2,5,1,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [5,7,2,6,4,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [1,2,7,5,4,3,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [1,7,2,4,3,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [1,7,2,8,3,6,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [7,3,8,6,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [1,8,7,6,5,2,4,3]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [5,1,4,3,2,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [8,6,5,3,2,1,7,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [8,6,3,2,1,7,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,6,5,4,1,7,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [8,6,1,7,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [4,6,3,2,7,5,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [7,4,8,3,1,6,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [5,7,4,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [5,7,4,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [1,8,7,2,5,4,6,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [1,8,5,3,7,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [4,3,1,8,7,5,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100 [1,4,8,6,3,5,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000 [1,3,5,6,8,4,2,7]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [3,5,4,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [1,6,3,8,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [1,6,2,4,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [8,4,1,6,7,5,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [7,1,6,4,8,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [7,3,6,8,5,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [1,3,7,2,6,8,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [3,6,5,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [3,6,5,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [3,6,2,4,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [3,6,2,4,1,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [7,3,8,2,1,6,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [7,3,5,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [8,7,6,4,3,1,5,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [8,7,6,4,1,5,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [3,8,7,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [3,8,2,7,1,5,4,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [3,6,8,2,1,5,4,7]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [2,4,8,1,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [4,2,8,1,5,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [8,5,7,6,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [8,6,1,7,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [1,8,2,4,6,7,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [2,8,5,4,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [7,2,5,6,4,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [1,2,5,7,8,4,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [1,2,7,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [1,2,7,8,3,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [1,8,7,4,6,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [7,1,6,4,2,3,5,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [8,6,2,4,7,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [8,6,2,4,5,7,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [2,7,1,4,5,8,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [7,1,6,4,5,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [7,1,4,5,6,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [7,1,4,6,5,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [7,1,5,4,3,8,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [7,1,3,4,2,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [7,1,5,4,6,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [7,1,5,6,4,3,8,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>1111000 [7,1,6,5,4,3,2,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>1111100 [8,6,2,5,4,3,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>1111100 [2,5,1,7,4,3,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [3,5,1,4,8,6,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [3,6,2,4,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [6,5,7,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [6,3,4,2,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [3,4,7,2,5,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [4,6,8,1,3,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [3,4,1,7,5,6,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [3,4,1,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [3,7,4,1,6,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [8,4,7,2,5,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [4,7,8,1,2,3,6,5]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [2,8,6,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [7,6,5,1,3,4,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [7,2,6,4,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [6,7,5,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [8,4,5,3,7,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [4,7,5,2,8,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [2,6,4,3,1,5,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000 [7,3,8,4,1,5,2,6]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [7,2,3,4,1,6,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [4,8,5,2,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [1,6,4,7,2,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [1,6,4,8,2,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [1,6,5,8,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [1,6,8,2,4,3,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000 [1,5,6,2,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000 [1,5,6,2,4,7,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [1,5,8,2,4,7,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>0101000 [1,5,7,2,4,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [1,6,5,7,2,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [1,6,7,2,4,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [1,5,6,7,2,4,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [1,5,8,2,4,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [1,5,7,2,4,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [1,5,7,8,3,2,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [1,5,6,2,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [1,7,3,4,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [1,6,2,4,3,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [1,4,2,3,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,5,2,3,4,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [1,6,5,2,3,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [1,7,4,2,8,6,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [1,7,5,2,8,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [1,7,5,6,2,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [1,5,8,3,2,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [1,6,8,4,2,3,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [1,7,4,6,2,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [1,7,3,5,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [1,6,8,5,2,3,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [1,7,3,4,2,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [1,7,4,2,8,5,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [1,7,6,4,2,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [1,7,5,2,8,6,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [1,6,4,2,3,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [3,7,5,6,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [8,2,4,1,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [8,6,1,4,2,7,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [3,6,1,4,2,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [6,7,1,4,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [7,6,1,4,3,5,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [4,7,1,6,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [3,1,4,7,6,5,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [7,1,6,4,3,5,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [8,1,6,4,2,7,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [8,4,1,3,7,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [7,4,1,3,8,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [1,3,6,4,2,8,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [4,7,3,1,2,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [4,7,8,1,2,6,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [1,8,6,4,2,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [4,8,1,3,7,2,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [8,7,1,3,6,2,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [6,8,5,7,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [1,8,4,3,7,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [1,4,7,3,8,2,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [2,5,3,4,8,6,1,7]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [3,7,5,4,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [7,1,3,4,2,8,5,6]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [6,1,4,3,8,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [8,1,4,3,7,2,5,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [8,2,3,4,7,6,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [2,7,5,6,3,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [5,7,2,6,3,8,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [7,2,5,6,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [5,2,3,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [6,1,8,3,7,2,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [4,7,1,8,2,5,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [3,7,4,8,5,2,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [2,4,3,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [7,5,8,6,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [6,5,8,7,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [8,5,7,6,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [2,5,3,8,7,6,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [3,7,5,8,6,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [3,7,8,6,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [1,8,7,3,6,2,5,4]=>[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>1110100 [6,8,7,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [5,7,6,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [3,7,6,8,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,5,4,7,6,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [1,7,4,6,5,8,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [3,7,4,6,5,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [3,5,4,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [3,8,4,6,5,7,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [3,6,4,7,5,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [1,6,2,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,6,4,8,5,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [1,8,4,6,5,7,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,5,4,8,6,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [7,8,1,5,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [7,8,1,5,2,4,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [1,8,2,6,5,7,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,7,2,8,5,6,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [1,7,2,6,5,8,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,5,2,7,6,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,7,6,8,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [1,7,6,8,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [5,7,6,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [7,8,5,6,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [5,8,6,7,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [1,3,2,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [1,7,6,8,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [7,8,1,3,2,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [7,8,1,6,2,4,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [1,8,6,7,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [7,8,1,4,2,6,3,5]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [7,8,1,4,2,5,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [7,8,2,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [4,3,6,5,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100 [3,4,6,5,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [3,4,1,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>01000000 [3,4,5,6,7,8,1,9,2]=>[[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>01000000 [3,1,2,5,6,7,8,9,4]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [3,4,5,6,7,8,1,2,9]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>01000000 [3,4,5,6,7,8,9,1,10,2]=>[[1,2,3,4,5,6,7,9],[8,10]]=>[8,10,1,2,3,4,5,6,7,9]=>010000000 [1,6,2,3,8,7,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [1,7,4,3,2,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [1,2,6,5,3,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [1,2,6,5,3,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,3,7,5,2,6,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,3,7,4,2,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,2,6,4,3,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,2,6,4,3,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [1,7,5,3,2,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [1,5,3,2,4,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [7,6,5,4,3,1,8,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [6,8,5,4,3,2,1,7]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [8,7,6,5,4,3,1,9,2]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8]=>11111010 [7,9,6,5,4,3,2,1,8]=>[[1,2],[3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,9,1,2]=>11111010 [9,8,7,6,5,4,3,1,10,2]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,10,1,9]=>111111010 [3,6,5,4,8,1,7,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [6,8,1,4,3,2,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [7,6,1,4,3,8,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [6,8,5,1,3,2,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [1,8,2,4,3,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [3,8,5,4,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [1,3,6,5,4,9,8,7,2]=>[[1,2,3,6],[4,7],[5,8],[9]]=>[9,5,8,4,7,1,2,3,6]=>10101000 [1,6,3,4,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [1,4,5,8,3,7,6,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [6,8,5,4,1,2,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [1,8,5,2,3,7,6,4]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [6,8,2,4,3,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [1,8,3,4,7,2,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [7,5,8,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [5,1,7,6,8,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [8,4,7,5,2,6,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [8,4,6,5,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [4,8,7,5,6,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>1110100 [5,1,8,7,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [3,6,5,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [5,2,3,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [6,1,4,5,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [5,7,1,2,4,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [4,3,7,6,8,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [5,3,6,8,1,7,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [3,2,6,8,5,7,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [6,3,7,2,4,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>1100100 [7,4,8,6,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [2,5,3,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [3,6,4,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [8,4,7,6,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [8,4,7,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [7,4,3,8,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [6,4,1,5,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [2,5,8,7,3,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [8,3,5,6,7,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [4,1,7,2,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [3,4,7,2,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [3,7,1,4,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [6,1,8,5,2,7,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [2,1,7,4,5,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [2,1,8,3,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [8,2,1,6,4,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [7,8,2,6,4,1,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [4,5,2,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [5,1,6,8,4,7,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [3,6,8,7,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [7,4,8,6,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>1101010 [7,6,4,1,2,3,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [7,3,5,8,4,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [3,2,5,8,4,1,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [8,4,7,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [4,8,7,5,6,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [6,1,4,8,7,3,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [4,7,8,1,3,5,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [8,7,3,4,1,5,6,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [4,8,2,7,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [3,8,1,7,2,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [4,3,8,2,7,6,1,5]=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010 [6,8,4,2,1,3,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [7,8,2,4,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [2,8,3,7,1,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [8,1,2,7,3,5,6,4]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [6,4,1,3,2,8,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [4,3,7,5,1,8,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [6,8,5,2,7,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [7,2,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [3,6,8,1,4,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [6,8,1,2,4,5,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [5,8,1,6,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [8,3,6,1,4,5,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [2,3,6,8,4,5,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000 [6,3,8,7,4,2,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [5,8,4,3,7,6,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>0101010 [8,7,4,3,1,6,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [7,1,5,3,4,8,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [4,8,6,5,7,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [6,1,8,7,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [8,5,4,3,1,6,7,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [6,5,8,4,3,1,7,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>1101010 [4,6,5,2,8,1,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [8,2,3,1,5,6,7,4]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [2,1,8,3,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [1,4,8,2,3,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [7,5,1,8,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [3,5,8,1,2,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [4,5,8,1,2,3,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [3,8,4,1,2,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [5,4,8,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [2,4,3,7,1,8,5,6]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [2,7,1,4,3,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [2,4,1,8,6,3,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [8,4,1,3,6,2,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [6,8,5,1,7,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [7,6,3,5,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [4,5,8,7,3,6,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [3,5,2,8,6,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [8,6,5,4,1,2,7,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [2,6,1,8,3,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [6,1,5,3,8,7,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [2,8,6,3,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [7,6,1,5,8,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [6,5,2,4,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [4,8,2,5,1,6,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [3,4,8,5,2,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [1,5,4,8,2,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>0101000 [7,2,1,5,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [5,4,8,3,7,6,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010 [3,1,5,8,6,2,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [7,6,1,2,8,3,5,4]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [7,5,8,4,1,2,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [7,5,8,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [6,5,4,8,7,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>1101010 [6,5,4,8,1,2,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [7,5,1,6,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [7,5,1,6,8,2,4,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [6,5,4,1,8,2,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [6,5,4,7,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [6,5,4,7,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [6,5,3,7,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [6,5,3,1,8,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [7,5,1,4,8,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [8,1,6,4,7,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [7,5,1,4,8,3,6,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [6,5,3,7,1,4,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [6,4,3,1,5,8,7,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [7,4,1,5,3,8,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [8,1,5,4,3,7,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [7,4,1,5,3,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [8,1,5,4,3,2,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>1111000 [6,5,3,1,2,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [6,5,3,8,1,4,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [8,1,7,2,5,4,3,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [8,1,7,2,5,4,6,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [6,5,3,8,1,4,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [6,5,3,1,2,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [7,5,1,4,2,6,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [7,4,1,5,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [6,4,3,1,5,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [6,4,3,1,5,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [7,4,1,5,3,6,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [8,1,5,4,3,6,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [7,4,1,5,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [6,4,3,1,5,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [6,7,3,8,4,5,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [6,7,4,5,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [4,7,5,6,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [4,7,5,6,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [4,7,5,6,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [3,7,5,8,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [4,5,3,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [4,8,3,6,5,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [5,6,4,7,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [5,6,1,7,3,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [5,6,1,8,2,7,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [5,6,1,8,4,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [4,8,1,6,5,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [4,5,1,8,6,7,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [7,8,4,5,1,6,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [4,8,2,3,1,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [5,6,3,4,1,8,2,7]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [3,6,4,5,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [3,6,4,5,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [2,6,4,8,1,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [2,8,3,6,1,5,4,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [2,8,3,4,1,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [7,8,2,5,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [7,8,1,5,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [1,5,3,8,6,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [1,8,3,6,2,7,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [1,6,4,8,2,7,3,5]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [2,6,4,7,3,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [2,7,3,6,4,5,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [1,7,3,6,4,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [1,7,2,8,4,6,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [1,7,5,8,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [1,7,5,8,2,6,3,4]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [1,7,5,6,3,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [2,7,5,6,3,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [6,7,2,5,3,4,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [6,7,1,5,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [6,7,5,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,8,6,7,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [6,7,2,3,1,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [3,4,2,7,5,6,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [3,4,1,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,7,5,8,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [2,3,1,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [2,3,1,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [7,8,2,3,1,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [7,8,2,6,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [2,8,6,7,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [2,8,1,4,3,7,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [3,7,2,5,4,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [4,5,2,7,3,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [4,5,1,8,2,7,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [3,4,1,8,2,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [3,4,1,8,6,7,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [3,4,2,5,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [3,4,2,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [3,8,2,5,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [4,5,2,8,1,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [4,5,3,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [8,6,7,1,4,2,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [8,6,3,7,5,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [7,6,1,8,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [7,6,2,8,3,5,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [7,6,2,3,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [8,7,2,5,1,6,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [8,4,2,1,7,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [8,5,7,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [5,8,7,3,1,4,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [8,5,7,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [8,4,2,1,3,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [8,4,3,1,7,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [8,5,1,3,2,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [8,4,7,5,1,6,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [8,7,3,5,1,2,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [8,3,2,6,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [4,8,6,3,5,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [8,4,7,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [8,3,2,7,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [8,7,3,1,4,2,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [8,7,3,1,2,6,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [8,7,3,1,2,4,6,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [8,3,2,1,4,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [8,3,2,1,7,4,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [8,3,2,7,1,5,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [8,4,7,2,1,5,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [8,7,2,1,6,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [3,6,5,4,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [4,7,5,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [2,5,7,8,6,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [4,6,3,2,1,5,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [6,2,1,5,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [5,8,1,3,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [4,7,2,3,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [3,7,4,2,8,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [4,2,6,8,5,7,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [6,4,2,7,3,8,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [2,1,4,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [6,4,7,8,5,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [8,5,1,6,3,2,7,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [3,2,6,8,4,7,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [8,4,6,1,3,2,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [4,2,8,6,7,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [7,4,3,8,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [4,2,5,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [2,4,8,5,7,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [3,7,1,4,6,8,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [7,8,2,5,6,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [2,6,7,3,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000 [7,6,8,4,2,5,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [6,5,7,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [3,4,8,6,5,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [6,5,8,2,1,7,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [7,4,3,5,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [4,1,6,3,5,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [8,6,7,1,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>1111010 [2,1,6,5,8,4,7,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [2,6,4,8,7,3,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [3,8,1,2,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [7,4,8,6,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>1101010 [2,1,8,4,3,7,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [6,3,8,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [1,2,7,3,5,4,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [1,2,3,8,4,5,7,6]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,2,8,3,4,5,7,6]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [1,5,7,2,3,6,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000 [1,7,2,3,5,4,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [1,3,8,2,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [1,2,3,8,4,6,7,5]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [1,8,2,3,5,4,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [1,7,8,2,3,6,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000 [1,6,7,8,2,3,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [1,7,8,2,5,3,6,4]=>[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000 [1,7,8,2,4,5,3,6]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000 [1,2,8,3,6,4,5,7]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [1,8,2,3,6,4,5,7]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [1,2,8,3,5,4,6,7]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [1,2,7,8,3,6,4,5]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000 [1,3,2,8,4,6,7,5]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [1,8,2,3,4,6,7,5]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [1,7,8,2,4,3,6,5]=>[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000 [6,7,3,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [6,8,3,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [7,3,6,1,5,2,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [6,7,5,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [5,8,6,4,1,7,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [5,7,6,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [6,4,7,5,1,2,8,3]=>[[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>0100100 [6,2,1,7,5,3,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [5,6,8,4,1,7,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [4,6,8,5,7,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [4,5,8,6,7,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [5,4,8,6,1,7,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [5,3,8,1,6,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [5,4,7,6,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [4,8,6,5,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [4,7,5,6,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [4,6,5,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [5,7,4,6,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [5,8,4,6,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [5,8,3,1,6,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>0100100 [5,7,3,1,6,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>0100100 [5,6,3,1,7,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [5,4,6,8,1,7,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [5,2,1,7,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [4,6,8,7,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [4,7,8,6,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [4,8,7,6,5,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [2,5,4,7,3,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [2,4,6,3,7,5,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [4,2,6,3,1,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [2,5,3,1,6,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [2,5,3,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [2,6,5,3,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [2,7,5,3,6,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [2,6,3,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [2,1,3,7,5,4,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [2,3,1,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [2,5,3,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [4,2,8,3,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [8,3,2,6,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [3,6,8,2,1,4,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [1,5,2,8,3,4,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [1,2,6,3,8,7,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [1,2,8,3,6,4,7,5]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [1,2,7,6,3,4,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,2,3,8,6,4,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [1,2,3,7,4,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,2,7,6,3,8,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [1,2,3,6,4,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [1,2,3,7,6,4,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [2,6,3,1,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [2,1,3,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [7,1,8,4,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [2,1,8,4,3,5,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [4,2,6,3,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [5,4,2,8,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [2,5,4,8,3,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>1101000 [1,8,7,4,2,3,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000 [1,5,2,8,7,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [1,2,7,3,6,4,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [1,2,8,6,3,7,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [1,2,7,3,8,6,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [1,2,3,8,4,7,6,5]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [1,2,7,3,4,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [1,5,2,3,8,7,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [4,2,1,8,3,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>0101000 [8,3,2,1,7,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [1,2,8,6,3,4,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [1,2,3,8,7,4,6,5]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [1,2,3,8,7,6,4,5]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [2,5,3,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [2,6,4,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [2,6,5,7,1,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [3,8,5,7,1,2,6,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [3,4,8,6,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [2,4,8,1,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [2,4,3,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [2,8,1,7,5,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100 [2,3,8,1,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [2,4,8,1,3,5,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [3,5,7,6,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [4,8,6,7,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [4,8,6,7,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [4,8,6,7,1,3,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [3,2,8,5,6,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [4,3,1,7,5,2,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [4,3,8,5,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>0101000 [5,8,6,7,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [5,8,6,7,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [4,2,8,5,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [3,4,2,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [3,2,4,8,6,1,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [3,2,5,7,6,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [4,8,6,7,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [4,8,6,7,1,2,5,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [4,2,6,7,5,1,3,8]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [3,8,5,7,1,4,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [3,8,4,7,1,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [3,5,2,8,4,6,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [3,5,1,7,4,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [3,8,4,7,2,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [4,2,6,7,5,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [3,1,5,7,6,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [3,4,1,7,5,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [4,1,7,5,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [4,1,6,7,5,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [4,8,6,7,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [4,1,6,7,5,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [4,1,7,5,3,2,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [4,2,8,5,3,1,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [4,2,1,6,7,5,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [7,3,5,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [5,1,8,3,6,7,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [1,4,7,8,5,6,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [6,8,1,3,5,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [7,6,1,4,3,8,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [3,8,1,6,5,4,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [6,1,7,3,8,4,2,5]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [7,1,8,6,3,5,2,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [8,2,7,6,5,3,4,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [8,4,2,6,7,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [4,8,1,6,7,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [7,4,1,6,8,2,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [1,3,8,6,2,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [1,8,6,2,5,3,4,7]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [4,7,2,6,8,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [8,7,3,6,4,5,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [2,7,4,1,6,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [1,8,6,4,5,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [2,8,4,6,5,1,3,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>1101000 [3,4,1,7,5,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [7,5,8,6,1,2,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [2,5,4,3,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [3,8,5,4,6,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>1111000 [4,8,2,1,3,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [6,4,1,2,7,5,8,3]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [4,1,8,3,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [8,3,7,4,5,2,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [4,3,7,8,5,1,6,2]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [5,4,8,2,7,6,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010 [1,2,7,3,6,5,8,4]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [2,8,7,6,3,4,1,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6,8]=>1111000 [5,8,2,6,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [4,1,7,5,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100 [8,2,7,5,4,3,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [3,8,4,5,6,1,2,7]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000 [1,4,3,5,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [6,5,8,7,1,3,4,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [3,6,7,2,4,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [1,5,2,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [1,8,6,5,4,3,2,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [6,1,5,2,8,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [4,6,1,8,5,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [4,7,1,2,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [1,4,7,2,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [3,6,8,1,5,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [6,8,1,5,7,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [1,7,6,8,2,3,5,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [7,6,8,1,2,3,5,4]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [2,4,7,1,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [4,7,2,1,8,5,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [7,6,8,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [7,4,2,1,6,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [6,7,4,1,8,5,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [6,7,4,3,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [2,7,4,1,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [7,4,2,6,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [7,3,2,5,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [3,1,7,6,8,2,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [3,7,6,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [1,7,4,2,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [7,4,1,2,6,8,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [7,1,4,2,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [7,1,8,2,5,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [7,3,8,4,6,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [7,1,6,8,5,4,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [7,1,2,6,8,5,4,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [1,7,2,6,8,5,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [7,6,8,3,1,2,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [7,1,5,8,6,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [7,2,5,8,6,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [3,6,7,1,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [7,2,6,8,5,4,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [7,6,8,2,3,1,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [2,7,1,6,8,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [6,7,3,1,8,5,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [6,7,1,8,5,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [7,2,1,6,8,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [7,6,8,3,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>1101010 [4,7,8,5,6,1,3,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [4,6,5,8,7,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [5,6,4,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [5,4,6,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [5,3,6,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [8,1,4,6,7,3,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [7,2,1,6,8,4,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [4,2,6,7,3,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [6,2,4,1,5,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [7,2,1,5,4,8,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [4,3,5,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [8,1,7,2,4,5,6,3]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [7,6,1,2,4,5,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [4,7,8,2,3,1,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [5,6,2,8,1,4,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [6,5,2,1,3,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [7,5,1,3,2,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [7,4,1,3,5,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [5,4,2,3,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [6,2,3,1,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [7,8,4,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>0101010 [7,8,4,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [6,2,3,4,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [7,8,3,6,4,2,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [6,2,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [6,3,2,5,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [6,3,2,8,4,7,1,5]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [6,4,3,8,7,5,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010 [6,4,3,7,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [6,2,4,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [6,3,2,5,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [5,7,2,3,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [5,8,2,3,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [4,5,6,8,3,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [4,6,8,5,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [5,6,1,4,2,3,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [5,6,8,4,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [5,2,8,3,4,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [4,5,8,6,3,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [6,2,3,4,5,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [5,1,4,3,6,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [5,1,4,3,7,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [5,1,4,3,8,2,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [5,6,2,4,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [6,1,4,2,8,7,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [6,1,4,2,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [5,2,7,4,1,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>0101000 [5,4,1,3,7,2,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [5,1,4,3,6,2,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>1110000 [5,8,1,4,2,3,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [5,1,6,3,4,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [4,8,6,5,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [5,4,7,8,3,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [5,4,8,7,3,2,1,6]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [4,6,8,7,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [4,6,7,8,3,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [4,7,8,5,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [5,1,8,4,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [5,1,7,4,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [4,8,7,5,3,2,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [4,7,8,6,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [4,8,7,6,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [4,3,8,1,6,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [5,8,4,3,7,1,6,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010 [4,8,7,6,3,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [1,4,3,8,2,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [4,3,2,8,1,6,5,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [4,1,3,8,2,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [4,1,8,3,7,5,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [3,7,8,1,5,4,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [3,4,2,1,8,6,5,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [3,6,7,8,4,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [3,7,8,2,6,4,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [4,2,3,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [4,3,1,8,2,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>0101000 [7,3,6,8,4,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [3,2,4,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [7,4,1,8,5,2,6,3]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [1,3,2,4,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [6,7,2,8,3,5,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [1,2,3,4,8,6,5,7]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [3,6,5,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [5,3,8,7,2,4,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [2,8,4,5,7,3,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [2,4,5,7,3,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [6,2,4,5,8,3,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [4,8,1,2,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [8,1,3,5,2,6,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [5,2,1,6,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [6,1,4,5,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [5,6,4,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [6,5,4,3,8,2,1,7]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [5,4,3,7,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [4,6,8,3,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [7,4,6,3,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [1,5,4,3,7,2,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [4,7,8,5,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [8,5,4,7,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>1101010 [8,5,7,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>1101010 [4,7,8,3,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [1,3,8,6,4,7,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [7,6,2,1,4,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [7,6,1,3,4,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [1,5,7,3,2,6,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [1,6,7,3,2,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [3,2,6,8,5,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [5,8,2,3,6,7,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [7,5,2,3,1,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [3,1,7,5,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [6,4,8,7,2,3,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [3,2,7,4,1,6,8,5]=>[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>0101000 [6,3,2,1,7,8,4,5]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [3,7,1,8,4,2,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [4,2,1,3,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [8,1,3,7,4,2,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [8,4,3,7,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>1101010 [8,3,5,2,7,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [3,6,2,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [7,3,2,8,1,6,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>0101010 [4,2,7,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [6,8,2,4,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [5,2,1,8,7,3,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [8,2,1,6,3,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [5,7,8,2,6,1,4,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [8,7,2,5,6,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [8,6,7,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [7,2,6,8,1,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [1,2,7,8,5,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [3,7,1,8,2,6,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [2,1,7,3,8,6,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [8,2,1,7,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>1111010 [8,1,4,7,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [8,6,7,5,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [7,8,6,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [5,8,4,3,2,1,6,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [6,4,7,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [5,4,7,3,2,1,6,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [6,5,3,7,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [6,3,7,8,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [3,8,7,6,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [5,8,4,2,6,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [4,8,7,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [5,8,3,2,6,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [4,8,3,2,5,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [3,8,7,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [6,4,2,7,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [6,3,2,7,5,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [5,3,2,6,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [2,8,7,6,5,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [6,5,4,3,1,7,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [6,4,7,3,1,5,8,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [5,4,7,3,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [6,4,3,7,1,5,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [5,4,3,6,1,8,7,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [6,3,7,8,1,4,5,2]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [5,3,7,6,1,4,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [4,3,7,6,1,5,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [3,8,7,6,1,4,5,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [6,5,4,2,1,7,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [6,4,7,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [5,8,3,2,1,4,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [4,8,3,2,1,5,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,